From b1683ea4f4e41303054ac1e074cc3a34460faf7a Mon Sep 17 00:00:00 2001
From: krahets <krahets@163.com>
Date: Thu, 16 Feb 2023 02:20:55 +0800
Subject: [PATCH] deploy

---
 .../deque.assets/array_deque.png              | Bin 0 -> 79408 bytes
 .../deque.assets/array_deque_poll_first.png   | Bin 0 -> 63228 bytes
 .../deque.assets/array_deque_poll_last.png    | Bin 0 -> 59606 bytes
 .../deque.assets/array_deque_push_first.png   | Bin 0 -> 70823 bytes
 .../deque.assets/array_deque_push_last.png    | Bin 0 -> 73057 bytes
 .../deque.assets/linkedlist_deque.png         | Bin 59420 -> 58678 bytes
 .../linkedlist_deque_poll_first.png           | Bin 55756 -> 55029 bytes
 .../linkedlist_deque_poll_last.png            | Bin 59572 -> 58079 bytes
 .../linkedlist_deque_push_first.png           | Bin 67131 -> 65273 bytes
 .../linkedlist_deque_push_last.png            | Bin 63516 -> 62299 bytes
 chapter_stack_and_queue/deque/index.html      | 225 ++++++++++++++++--
 .../queue.assets/array_queue.png              | Bin 50701 -> 71309 bytes
 .../queue.assets/array_queue_poll.png         | Bin 52797 -> 60157 bytes
 .../queue.assets/array_queue_push.png         | Bin 61180 -> 69567 bytes
 chapter_stack_and_queue/queue/index.html      |  18 +-
 search/search_index.json                      |   2 +-
 sitemap.xml.gz                                | Bin 611 -> 611 bytes
 17 files changed, 213 insertions(+), 32 deletions(-)
 create mode 100644 chapter_stack_and_queue/deque.assets/array_deque.png
 create mode 100644 chapter_stack_and_queue/deque.assets/array_deque_poll_first.png
 create mode 100644 chapter_stack_and_queue/deque.assets/array_deque_poll_last.png
 create mode 100644 chapter_stack_and_queue/deque.assets/array_deque_push_first.png
 create mode 100644 chapter_stack_and_queue/deque.assets/array_deque_push_last.png

diff --git a/chapter_stack_and_queue/deque.assets/array_deque.png b/chapter_stack_and_queue/deque.assets/array_deque.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac92487275e9043fdef7909e030ad5e4c5d1705d
GIT binary patch
literal 79408
zcmdpebyQSc+c%{G3KD_>5{h)Fq%;;tBQVsE5<??hQU)lgbPcF53^n8oNDhk94Ks8%
zLw5~)$LG26exK)lzqP)<KUl1DT<e^@_t|mnUtHS{n(B%a<c#D51OyaH&z@)z5L^Im
ziMmONfQvk<G9hpwbkkCNL{Qjya|!szTPuAfYc(|jUf`aT-~u5H0rBrgfL{Va#(%y1
z`xRwEra$*ugxr5U1C$wROF;6k=LrZ5f$Q%dGvM#{JO92Ce<u99#Lq<MPhTMTOniP%
z)D1jM5cuTbE8s%*@|l4f0RiRD-+zShe3VQ;y9tz@Jk;?fT!CJC1)4i-icO^;qtYey
zTfg-{-s;;8EJzPFT>!?}Van}Lopz`|1gcQ-<y8GUWh>Iwm!BPm{MO&b%bcNSDei{4
zIXgK$YV7FPf3;O9yCBh3UB|_SKCWS}DK5SjahZrJh=7ERfRI$4;NQ1Y%OtmnS<RfB
zoD>ukJUu;4HaX@B_@t$cM3XeM<59aJ8?7JS{^u*e+wX%kp4*aSQ-2|U&tLcA#fxQ3
z{&hM!I<|@pA*(zh%9{^9CL|=p#?EYd_s7(x$;1lRbCSLJM=2!g^~<^zi+v^+E?ns8
z>Dk=eq+k@`)=o&c6~y7czc!ZdlzThZRE}uS-Pn9tak7Dp<{!<Uj18)&7xC@OGi9Ku
zuZobnfB(7AAOzHCkY|DsSun2l<iRmfQ=4Oov<dQSoG=mT%R(Wxpo)N$S?d4jhTlC>
zFGrX!h!_+JnJpx571Jv@73iryJUnc@DDFINw4Ld%y9OqJSXr%(R%&0!3JCA53oU$+
z3*NaEn%ik(yuDOLnD*bDOAwrShpjT7u^oOTcGtt!Oad0XE5gIWBPNEee#%PpKt|^G
zXU2TfLaP%xxEIN;!j>)l^ujLv<1;mvND8iq_3C9PkX?rbh2JGJGu{%n$EqG%R7y_L
z*SF%=21^=pOsyi-mIs>6^8F$gQA%duOzkVFPD6?}{@E-7vID)un5w)cJ2Un-k!u(@
zcAIfT>gubv1iGVG1Q-)@t*F09?X2~qc9>qqyq1NK>VQ>_jGuj0Q7y$w@3#;Cnmm8c
zqbr1og(5M159rt$1{*)JB;4w;kFD1wuCT+jR<aztkN-ZrtL!0xDZ<o`FAwmzARH-7
znEo*UliXxCzSzfQV^S6N^Q<kJon3#3)r;7bdpZr3!d4s12@7bWkqc#foA%lAsTw0$
zh<@87ry<|_|8qY7yGe>l^~;)k5?0N*ZQcb_4$q?FIxz4jg;|9%Ou0`8aKW9&9`k<C
zUcJ-lqwsm@w&GnzxFhDUxzX%=S^WKFysGs)5|NI1F+`#jNA7vg$5K@CbYJLdiQl^Q
zog|Lb%=QK7R$@;rd9Rh@cJr&07e_jgSh0?6vcH$uUuESO5h-}5NFqq%*+f|~Rd;zP
za1MGbN`}IshOaBk8$x^yZwK}D_Ue3kUNhe}-ddbU-Ygbx*ib&TS`vNlpPxv_W`-){
zv40DX&k%~hie`k}4~ehnt*5C`An@CHATF*)o4INcKL7(;ENb7M?}PZM!%GhTxsr9r
z3E_;OcL8_uSe8m(V8e{aOj=Ch1!(FS7#Q|~g$>J>3M<U<zLtVBQ?&n_mX#!wOPycO
zB<;&9)HAskKVB)<(ks=w5S}d$fk0A8&oZ(Zel_3AXys>Wke>cu-uEDhAVrn-!;}!F
zA-I?oP*Iprz2wc7UDb;0CTut2!~FnJ3+ed;jX&Y)d|c!~wD)K*q*|yso!oh>d;I}4
zBc|3@Cyp>-F71w^ox853wC+yTlXBajzu(owknG@Vu`bD7c~0R+w+Mni-=<<_W~Qah
z6kL){{k(hwnoCU-lcSIz8D9)4(Ct-Tu)D;c>3H?BnRYKp?!Hg~i`bh@%A8LRd%4f2
zu19kH_vw5=TC)|ZoHml3xkSOo1QbSzfwU`wh}L+;Fi@h8<!s>{M4N>Z&?i!?gUe~}
z)G(aw7preqzWWmoL5gNw=`y`&ke;0AV*(=7yP#9vZc|betYW83nd|{aUQew;l_V32
zh1Td!5cEsqo<aQsM<2))vGZn7<wz18?H6{O=os_$Um+yzrzbkP9PIqluB|PvH=ycg
z?ml93vCn8(^#g&}Sj@m)*KpP=0op6)y_%O1bei0TcF$*(5_rVcOtx5bp)A+=<9_TK
zh>MWV7?A|RVZ{_a5tJtyHS$ICI5<0Ax%j8*f9)s1j9m3UKQabhcsNMNZU$8z<gisC
zDdtmW=jot*`zA}}JOaJFM;If0>%^6Tkt8aFAW-5aMXe?;F7Dg7k5OV1lu(Q<4Rm8<
ziHt)(;=*5(Etri<K8CB=lxpmayc+f7-O!ZVtZ!F+!*%)05aw0>`oLoDxRwej>}I>k
zW&HY2m!4OsPbA2|_X)Rijm*q#T?<_Z1~dOx(}8u$W<&PvXF;WC>Hd4sdUdOt$Twds
z&I|Yx5Q61NZ+x<cIej45OK29m{ZaWt@IPuJAtwA_;QY>BQuj`fao6iFO*@4DTr&nF
z5i0^M1bVu#e&T-w2~u?;(#gqJcX!DD`$gVl0-|p*!CK6JdOnAaL`X=e?(FpVaC>27
zoc`K1ev_JmMALwh^e_fnTiY^7*Z4OV3lkHQUv?V?c1yjm<&E)LKYv+7@pgSMaa)4G
zNR>x^7h}8rlg0&YiNKT1rm<?T#64sl9*0GwO1RButEJ{u-C7QnZ>D;GCHd1ms`DAc
zrb$gyIb<Fqe&2<T2b|irGE}xO1j%sh`T8q}khuLpX=y2o|4vVHbF<4#BXdV{7MZEf
z935t(nLXMaD7!uH&aZ{`<Qei<Zx$iTXATYpyV0z2Cd#{40}mQLKYUZrXPd(!r;K@$
z_lTm~K)LED8Iry<P&DDcKen*bM*mT2?b~B=A50zyeLS{qq~XB_JsWlFYB?C0IK`Gh
zG}eRi_Hu|#0}kgFdooAL9l;pK=W-;E-qceEo<6pC7D4o<Z{r?*W|Mod%#;q2^AQsu
zlS*PV`Dl70QFAcQK43z7JJf_x_wJX7X^*9nJFwY_0)w(U*Vb#cJ3Uv2<0X7Et*hOa
zXx<-z9JP|})*XEHLiJ^<`AvV|Dv*<tGxc<LNA5m|d~@lliCc%LdbGxISKw(G-H9x5
zntJXWlhe1UTzGnlh;7UcLd84(SH-xm%4ViQB(ECYt`AB^%lQCz<)<uur;nC~@{DGF
zem;s>3JZBy%XqlZ2~CZOnHHV|8e%_QQ`x2X;FhL18Cwu;-Vf6M?|B<6smjL1w~Y3B
z!k;q#geu+V-m8w9jot7qjjDV6E5&;+8~b_unxdGME0ztBHa(~K<Bq}K{nf<c*M4T6
zT<y8qD{c2n#Wy}&|JAD#21uHDm?~6KR7R#&ugIj6F@nHz&e<`jY34ZvCvkyJ@yRm8
zC{3z_m74m?7qxV02?+_GpYN&5zlrKR_Vg^TT^+05FE($mZcp0W8*%1Sali{bv6!gy
zM}RBp7QcoI2@9{XE4iayIB^8=eN>k_J(z(K=@Vb40;4NRvJbZQ+Js*nyvztlqsl2G
zp{n=T!wA3p_e7Lu=Ab$}L>ny+yym`fPpIIbwja|Kg@c6nR-I6|6NSc*Zg&;<)SyDg
zqex``ppnU0RZUHlLP^1Mxqm6iBI*+_Zm=Y?%%g+K1RYS@#|~D}f*oZMa406;HC^+y
zbB<Rk)GJD_jqd>(uX49mCq(x!r63p6z}fzOq*thZ7dH@y-yKk!<;r-qb$Yzc>NV=(
zHQ`^e`9Lm_-$2M^`e&hW_0hF@-#nkmPHzkQFYEDoCQGXmrB-dI0TbNLgvWp}SK7<h
zyGAd+U%*oSq}ou3WRzf!e=jINTwu;C<$rp(aC}nreL;_)Go|E~=B3|bJgEX{J|APX
z`ZD(f=D>&HQHOBj=YwA@2FIbj$%hRA_N*5^P;bsaK53f>EVX}+%e-DcJfj?&4EoZ7
zvtucG66Z96wCzI&2KH&Ht4Cccy7RTL6DkFURlWE{ZpH5S!t;1<^{VWFnbJhmN%RjS
z|K76+YOk1Vt$xLClw&q<J|!ENNqm;fEZ<Sl*_C49-uCaF91c*z0EeZ$Y&8`;&6CS;
zknZi8hi@*zKrdW)<b7-fx&;J;UZR)#?YB;=zORhIo(?dHIlRPR3k-x4g}g4jyc}Gm
zL_laHJ|UGE^6$9X4<a&HngZ($e_x2K`ZAdnLt^~>1G@Z_N=zi*fJ{qDzC%Q;f-Bwo
zD|LN}g@bmkSo@93*9CPpFnXr`^U09bOp;7l*hMM##mTT8w`!klYvHGr$Ry{wLxpH$
zF_zAZ<fScx8B>7{f;!Cqcn{TCPhnMQ>OJ+Yce)6D>Z|6bTeUkKepgT+JM2VRw8+Tk
zKyLu~wTRbpF_lzGZLHj+68v(+?mnC52rw-6$4psg=UYZxsC<CaCmShuy7IjeMVEte
z3`-OF)Q^yk@F%5v9Y>qOT^gn#a0iO;_xuhc!uwlIKfb<DwrlO$=1*eW>|2<s77w)r
zFMT`sF{^&aWop#zIQb<z?3Ag_GZ+GD@oc()SHD{@!R>kkHuPQ@LVYP#!kq*!%wH8~
zp$}OfpG`iNquVSnwY1-GFk;-qsLYoaKiB&HVPQlun2Dy!I%E|XX;g5rP_jast&|PB
zO~>uQq@>4>-E<s#BMQl?T1D(CAc{H+^N+8}SZa04&LHz+DR-YkQ|ed9KW@drk)rit
z2k?vlp>ph^A^eIX$8NqUemN^v-Bl7lm_kxGR+&bqe3l~14PJw~(6uy1GD*$w4Pe{t
z*2z(q6NfHT)zBhp^M4QrOFjaIThT<M;V(?u??FVZZMyGZM3WG|MnZi!boLHoZzFw3
z+{L#jtm=6%KleQ2v@e9NvA<3Bv><0-Jt}D*W4_QyVXlYIoGoXQTZT<k570Rq(QMAV
z9d&c+kXsM~x0bo8_d_^D7woSt3-C4UuM253Xjk~@p53f-)*G*Ux;Z5!{@_@XCKl=h
zeHRI~)_X>PtGVfB8RedhjGf0u-IVCv(>w%m(4B2Y2iimyX0IEf=kM5On7i4$tlX+C
z4<U$jM&orqDUVBn6BVmfm!6q0oR&3_7jyCYv^jhTyg=fOUk^MxKH2W_zj!urhR>)l
zT|UaoFWlN=g+YL=sY~wcm2G?y&yaSuYL7xU?3WFt=dYM480bAK5h?}P@paL%l2`wN
z3G$ywZU-Fnms!2zlYG&lifdV4_d}0vtVHBgth?oz((yR-D&wTohMHZjR$|t_C}-9k
zc<E<mo!m;i>3Z|j`K<*{>8^sRuf%#g6D3!|D)HS+w%pppBAT1SUdlf-aBn>h3)bSa
z)t?s*F0ebA%s~e7S!8_gaB?2;FS=8*Nb75V=6HkJcLgZxD!ZD4Sh;(30tXn~reE!e
zpy#!}T!=p1E$S5boDpzji=mn<QSFpOwYcT$BGOo#!N$FJEE7$KW|~+7N9XtlR%P}_
zGvi7v(PG#=!JNB9?ROxspH>GE_hCD8@4Q^3{}Jj5NTS#@lZ<ZXi#SWH>xnDA5|@1y
z_+e2?aR0p~*`&2&MALQy{FCrRnZ~vsrJ%z=TiMGL$T8zg#H)qi*HL(n=Hkeb5ZAWD
zHvy|dHSJ|iUtB^K=H9Lk=S=?iN$<mT9U-*qpg%ig=#I@V{Bcoj`#8<;g%^uiMC(!i
zkX*`M!OiSF1zqg(qgIZzuV25qe=T6$%#E+;l09~?#rF`_1e2OE=SW$%-{@HJ-^J*8
z5ELcHBP0<7*bj1WsHdSVA_BlS(IHnDrlphghAcWDx~|ng)Pd3QcNFpTNzUaU;f+PK
zF?9#im-Qla`HR36oj@-kvWiHG_ioXWLmsvm!(Pc9EwW!&j2v}s6F72xNEkDk;lG!R
zy@yjFfk*>fVDe57foE_1U*S`p&5~@E0?jEcAga1F+I41iDcP$L6O#hO1D|S|z|5=~
z(+P(3Dz)$c$E=8x0C?!H{((oPL+?6<QxvJ&&}H{8tRByf@7X1B-F7$-y&uRzpB|g5
zIQ8zr(_<AsvdJHd-_k}VxL2gvUd_ZLHQmhj=?mAbQYKz7Hi(mpI9XKU3qnCqF2nTE
z;~%^68x2=QD-5<;98UX75At4i7_#OwXF-20bfj`UUEMjTKs8{2s0~BrZMEn&84?z_
zeNf>mw5_*}*{fVg$3^rQ*|a=|1-2Q<t?*kpbllff9vWHS8LX3lY8`9H9%c=FYdhfh
z5&u5HAApEU-JCNglW(qyd@bve9r1H1^~yGe_JnjP_q5%EE9Ayu#c(RY7cSF3dy6yU
zjeK4tFFXi^eg}GupOB>ZX)xjWV&kUe9-5W#&(J1VxGGsx>{uipV%+`3bWQE<lK_KK
z#<F5trHc<<HB9CHIBd!=&I<7O#YMlv!gxQhG}nM;p!&m)`BhlJT!rDVRCbuO<k2(X
zv<^dqC6hTC%ty-9_#1V*STJ7PcgQLc>T9P&KMcvz`Uzn7%I!~LQM`!+Sdw{J|0C55
zSz{h6z96raLG$If;r@W;l;jnMN9Be-o4>AG+0gF;@k838F+xSK@+bHBP#L6cJxz0!
z7q_50);-5n-^D)g!d6($$kub=P?d~~Ebrl^yN61MRL-5c)5ER?l|Iz!_P6OaPkA0+
zN2tK&`oaw^rU=4dNfjV8Lri6eL;qqppKp?Eb)IF?<9W#(gc><Uq#!I;CS1Hz?9KZc
z@(OG|ZG34fGvB<`HxS7F^_5S4E1Wsrx+BF3F0OLhuCbupD1leIN^4l3;y5jz->1N~
zm-BO;q*sm!JF|yb?=8h7b+Z@*v;?VyDus>{=|{&2VWc5yQ>T3yr&)w~@70+SObxWv
zVAy3VFnBT~ioJY+B~e$I!iQCJmbt*OV$Pk}X@yxgMR7YVRmAq|^stj*D4l%(iU!T8
zZ)#%Gugs3y>kyx~c1djnyH5%Oy<;Wv_|2sR(f*B;=YuUzLM}<cy=a0AF2?T9S4gGZ
zr<6-tme%3n?{#t4v_v8#Pt3wl_M_dUS|1*hJ?n7Cet6hQKmKaFBU>-#o6wy?qf4a8
zaLJqAy;(|_zChvJK_?Q#PEpG(Q@>SIQO#Csd$KUc-pZC)A4kiNODx{<eh+PlHdxON
z6x9|0l9ox&Vn0?S@|%{`LatpBqKAFHTeI=#?9(*;djc_E)Qd6AOCs{HZ=#0=6Q(v9
z_hM-VYMjXYR-F)IHFTLR<E^WK`(s{5HLK+#$VY>LT|VT&lFxuayksi*_&gqbenqk(
zX|7lDqp{^(ueoR9Sj5-4Y7V`|;K#c9=6x|28nD`LLey~*0OyE}i9t4FS(0(f(H&Q%
z@UqZO0t?(V4oAtk9jSrulKAoRgkn1;fh8sA#R9lzUhz)46RNha`^#gLTtXaTp7<)G
zNHge-^>r0|tIrQIu4nsp-x2CK<I*gf(?f}cv>9^B4c)xm<8|~tYmEm^_l(e&m%8u?
z^2z|wlF(&d`Dzn{Nv$CxSi9OP>9+EieNro?t;~D##r^9t{=6zh1cW+!#{iLFz4zHB
zMdmsQn;C$>1jzr$8El&BM4x&jqs66RPtLrtg4{Q}({q26dDbCt8+(RWx^GiS&3R?7
ziSOzeS^|tq+0XK17_6TU!8aZF<n3e%$`J;z*zy)-%cSlU#ijO^lj{Z|xe~58o)$24
z8cyfWgri&%XEW5O{RVPp7x4QNfqiP?w$a>(Q;bP#;SD(}=%-;&n?u2zyKa2~<$$Yw
zuC6fmnJ9Nt{%)6HhrLNc!m;eZ<eS3VTEBFYaVj@B_TovfEgC620*{6C{i2toA+Y^j
zL~uTT#cxds;5&z_!k*{ETltn*Y}I_FQzX~Pd!8;|{lSvJ!CQm{eK7#DD=zlWc)u>^
znJ!_}eK@F<!ZWhk&f>S{5S4UVUOo^*v&WyLh2)ngw-lZ#<s*OasI}WkW{y8gsd>0*
zaB0(4#a}7HN3Qgk#ZS)F_jD@}ZIfJ59#WeB3Ls<_b7CA9I&P1bbxNxE>K~gaS>wL3
zLk!>u<TgNz?(F6#H>6xyd6m_(H2IYvv01q&fyV&Vk`VZ*px{7iy(Uw3XMIABiV~2%
zX%3ZbQk`!jcf1ZZrf4c!_w8O+l~%V#+TSnMRAI7D@hY?KKqA4r_Q@{3zExUtr6@E~
zeu<BGVX)*D0U^mfH1RpimY*agN|(q`MDHoW`Cg3cQHx*WxK+09TTzT7>s0hv7@JC#
zlaQ9v>)a?nCN<sdUaFfKdKzxq0V@mNx^x}72rkK=Y*x$591k4CYA1C+I9r(*8EF-|
zlaEZoR+keD5U2?9t}h!)%SU5sIZgUPxYX0Qj{(jtY}lFe5TTIpK0XeE@ajlGAm&OX
z>691-s@JO8P<*A=>X0xmo(vW!m(F}iRV()BdcC1GqGfRT?AP^6JE?5c`JIcO*+*cw
z!fN$BK#xI{8#Hn9JU#hIt6{UEbs(lthGO-ZrS5nwyEkZ|7|kNES#Yz|vW%i0P}-gl
z5VjW){;dE#AXIbilv>|w)<`eUHHRO?-{`E~aW<!>JG-veQx0xQ=ee*p_NzI!XfDI^
zsebLn@#v`D%q7&gs103yMc-0S)eD|Nq3CTF`b}qhk9>&~eKHMZN{2U15e%7;iKxqQ
zl*9guUqX!-HEfqlESgd-R1Ayczkst2mG@sNBO3Cpp;&Oj6v7R=3d+K=^yU)ZV_Gfs
zf+|5_gG+h=0EB5-R<_Bfu?>JViB=y2?d)f<?z~+p<*}T#`CGP1IVp%NMfHM(2I(3E
zNZ2$t(NX4?{zzhvV&&ZrW2_G|owyxFq?SA6Le~W(^08(;<2{vnXEX0F)c2IgzW0%S
zNBx{L)M%$ae|NNvRUjffI!R{S&fzItW8=cr)5y*XThGl61UYWNtWjhMM8<wRZJDAK
zi6*|b1|A3A<9Q%HD9s99-qlcXayiZrW@44fQD-%823JkK&7AK&C*dJk;?`2wYNuP)
z+pnBI?zdh$yxNlU5cU{-FdeQThu7gVqdQBTI8kT|sXexkrb#x8%fA;}1KNM3pscjK
zb=Zv7ehXJi&Gu=wd-{oHqalQ1TktDShb!+F1U_GlHSUL~u@Ei+77458Qce1d&!Edi
zpaE^@B84ViZy{1g?Bx!xD3=joiY%fG3Rj2bA$|Zb+gBiA&*}PAl4St0yoCDiUb*>i
zMN5;5tlv3qSGh&D3Kog}e6}HEVPtjLH$4sivwb5@U}{7+bbW-Q2i%=!um9T5)9I8!
zZ>b3+#?Q-n{L9J-zFlYXriPEDOKL&4YY#Q$SAGp^uRmDhXs*>%oU}#e0ft@6e6GFa
zoza^4t3>hydlCHDk9kB3%kcgdbv{Kh4Chcx0!|b(UO`lpI1H5nhz@jG?l>~;)+J-u
zgbRC~Zjk>Dgz()3gqTr4C?W6e)Tap(inGCpIJhMh=YOun9O)}P@w3Nv41?`S-)S(4
z$%pjz@aY!3^tH5qv}IpZ%gMlB888>GXSXg0%rgvGdn}iRF7^mlg!a5>!&zydj9BLZ
z#z@902Gh`X7d?7Y`DCqnU2+Ec!76ugyGzdW61y#^SobmxN8renojcjt3g{|{WE-Jh
z{sRrnQFpsMQyW=?Z`nzgX8)Xh{d1Pxn65_KL`V27>JI3G_QI`-7^N7k;jp1aCB4;F
zEjtim+s43FfJ_J81o}Ce_Xw54ZpVSZ<X9`K>`E*M<QwNoL1YX^^QGaGWwo1)OrTK+
z%KvD`=U^(7gVJL#nygzt>nQ+bEt!3F=2`Swo9w`MMG?lici@UqH<#?5N~wH^?u7%p
zm8*>Fm>mY$Thqx=O|E&WOB*Aq0q*-zd!YvL#d)HxOL{w^zZCyk{)5q%;ykc_-@W*y
z_-xeD5jDGl!$h62#kHFry<lUUAB7s_fUG(1yCW3xJ{ud6<hMdiQ~ss(yZE7Q_$k{`
z?||#PHnpevg_=Lkll(62N9Ej81zTz&DnNQ}U)eY80ZAHQNZJkNtSgB8?dEC@<G$=t
zr-Xgg@Q3Jq@?Zyzc`Tnp$iE#!9Z6u)!q{Pt&iAzQ8b}oY?c3}X-wxRyefBT)ofit=
zwcbx!xBf)Fzg%n*cA%_#b#zB0f5OIJrNyfQ@Mq~+F4cdR_4*S5(SsWk<o^F{76dDE
z1rZdwXX%jscUj*7D0MT!`JL>4`=0VJT6qFJNiE+0_SJ&T04_$^Sn(+1{Nv7T_s_im
zSm9&lp?maqkNoQ^<?qqR6I_}Bf6@4}!Tt3FVE$6o$4AAH0~_F9x@QL!Agvz&n&U!O
zhI8s&Zf^Y=@6EgDlNT~{!o9t{)?Mkffbd>ZQxk@nEbH%usbHpR{q~Pu8JaHy6JJUY
z0GE5<u;c@pZ!QcVz~XN6?P{rF7&BHIMxtA)Y(j6F8oU3rTONA57}Avv$?z|K8ct7q
z@yb2ouGUuHogPJYcJ`)7CNB~00KhrWGx2#UD!tXrK33(ySH`Qf3D^hUe%wh9y~04l
z#AJ`3X^KwN!Z)y<-m~du!?`o&DKd^PZI*++TwL5y(UaS57sem$R<G9`7o1Ige<S6!
zhO8iD1SpG=k`m!XJ>{f2n}e;kyTEoh21FF)+>gpY1G$3PPfK6Q{$ad8e~~H?#l!)U
zLyD+<!rN)6*Z2^i!3u@i_B#M^iRd{xPfcR*y6LN)>S5cyY?;lUwAhS{jJr~jlEc1f
zA$M@114c7D2gtLN1v&8db>aF4*98oB0BhlpY~wHo;Ol1xO>$|`<d-i4!FqCs<OLvg
zEcNz^35kmX46S4jYrBY9^jsUQ1b~h@8r20rpZSi|5ikHvKN|sqIQQe}y+2bp2SMVw
zGWf+kUr^~g{&+vtyyj%9Em~$z-`o3J#`D!-l*)Dv9oy0zSNrkvzeM;GZMeFchQ>N3
zKT)`y)J*Rbd(m5(1!E>uuY94cD4_AzuOR}9Cr_T(*Z^@+U0t2!{)@M`TwFQut-$bm
zO8AfSLhCGBXx0^J>gk@rSpmyOov<MI@_Vm2Y+3d}X@$B4fXX^Y%*uX2fCl*5AFX{x
z7Kyz^bnU>^spSa<atAuh&SzmxILY6l`kTavmHynm`%O35LD&)tMJ{T!<iACAyDZ`V
zH&NYE3z!9_fp`zv!xpZL8UQ0SF?)@Uc}+M<cWUrpKG1Rj)(c9Nuwe5y_3A8z4IO3I
z!wGaxE?hU#G~~$$Aaw4}`Lz8h+c7bL5POeHEyewRis<&(@lvbs?A9Xvl1F13!ezDA
zQc5_FG$6P{oe|x8bsmuHWC&MXU@h&8A%I*yU;MXRE?kqAc9X|M>4`B^%Bx%%WcYOG
zS!&W)o&WKhtFnu+?|+=`RiF=FS*HEg%4La>eerjYT1CpelEf#FAm}G+%JPI=NvP-x
zzPpGERf-cxlVFqB{Q(N=bwPou@nZ8g`M+tiF~ArFAs<JVudifA%N_w5bh{L&Xs7W_
zma{uC5#SG+aZxy&H<eBEn3P*Dmn3(!!kRI4gjPekht#a&etE7AlXb+q%h!1imh+2b
zfz>tl{Ppt;<rdGy?(cL<3!dBa9oAv4w)ZDqZAY?1GK#j+nf=uIt%uk6?K`nw1N47;
zD4j4cyWxPeaOYzw=JQ0{UE@kuSiZ1U%+|jp@QXTY^rPj&nc_R(9iSGwyqdgTUYGTU
z%>K0f1i`JhfoRGf^T*?q*Q8CVasnBaAn(;mmv~guZ<0y%QU=u7Ee+S^E=fp4&P;bM
z4R0SLIIi4FSQ*~jJ;IDovJ56dF>I3A9&bY6NSwQBc!F5{jgdY|{^3ghp*1K^GJ{{4
z(Dr3=ny(g;oMH_9d8<LQx}B39m-afw%76JX{%V8{*J%fse{YY(Sv!vxOUcOmm|5!P
z-psbphzNUMY;MK)TN6ikN?<Sk0FsZs0iX_~Jo1p~VSaMs(9qER`}fB|$s(EduM34D
zhgXNBzKL}GC5#jQ4`F<;!Z|}4h9E5eu7zmChFRg_z96y!0A(EN-m9bz4+OhK)6&x7
zf99woPC>r9+ZA-#PRC@jt%_b_9*JHQ&b7M<=gRojOb=6!vUSh5nJB4~w-*kc-F>#K
z_frskvK0%!g9<d>G3Wx>8(=R6HXb=Q!}E>j^F>lseUz%}z|hMgYo)7QCz5>VS+f!5
zrAx;gC?wHA<U2VHBW+|{k5O(i1JmAmylQQZVn$DGl*BA0IKK3F+?jI-Z1IeY&-*Au
z^zn%2x7D}b_m)EZ{U(e{>&F`vo=`gVoleLF?&A|8v6cAA;0e~i(prk2-98fY%{Oxy
zZMi;Fd}3D|e%)Hco124(Kq=_;c_B<0)K`TaC@BQ>>ISe>pEp-4CU~`4z!2P)rM304
zxA}i*<pH@&<E7fkAZQ)mmqNPE`F2ZxgO|sv71i|5E{%tsH9L-!%bcBT!+t#r!1cuO
zXd|iJZSSYN@sDeH*%3RCe^+?l#PE_)0FMdc>cCekfe|rWl`-MyBQ|eRwxBl)#@)2%
zt0phH{s(lV&ak>S&$RF5_R(fz64Dc<jhC$6?b$Moo0Q2{xjM7b|4peOX%IhT(0RkY
zYZO_hS4I!_T6B<6e~dssSib~6!t`11;`~n5T2=~fQGt)ue@p$bg~Gj^)y+Kcw68`b
z6{akIbo7I+>=emMS6K>px?{crGypeVTkZIaHZ@XUtk9|jyDo%;75}d)dS0JuMFOc_
zlpfAO6hCM({A9RQOz8nE&Z979|M_Fdk)_QhRxghtql*1eH;tLbNRHzU2Xj3Ge`+&M
z2|f<N21o>t7DZo~vHx~pK1E@N6XdkPn>^Tz4FD)174od-8-0!|QKqDa_C@_xEE4Iy
zufEP18+Ku%HEyiv?!k~OC`MPVb+HcZ{>i1T#AeN<1ra+P9_0~9x^E-4yV8O46Swc-
zDfxiJmC8t6UmZ->(>Hq^I9k<1ZZ?;8cV!$h93pyLD%7FPV`(wim30)V5svB%W3V3H
z2I(2YYCpw$#MQZy!E<uBTcqWtwfUR@WqYXCaNxJFKAA4#7sVi~Anb=y-2psvp|VmC
zoUUGSa{<|>&WDKKoN2=Ke7yBoCpz-^o_?w!UvO@jXF(s@TzvHCa3KTwCdONMSr0;K
zFI=pPFdSm3;?<#0zE+(!R~5e#Pk@!Rd^E++U6~(OB=$)wXuMgVV)X0X>(|&?@IXQX
z4>jU0b=u}2RgnC<-?%Lz>h(D~>*pkbcrBF(<BJKzjH4qXY6{Qf)gFmeDD>GSJ3Z8I
zxmey*;o#p?f6Ld`s7-9U+}RjvC?W$I$m^Hk)ZYW)qpIhVW)OCgMc^X6`L5(rCy<NT
z;5`0mn^6bmLE*TwA8Q#GyMJRgyL+7BhsgISsLE$on5YACo;*F}`*J)L%4+vIf41-P
z-I~w5hV-U%x%uBBJY%txy`9rQY>)lw>3cFVY>vw>s?*BWJG9KV0KACGpD?-s5i?<>
zV*t{4G};IvXLEYdR)wtPFjZGjiYXXm>fZAdKwQHyhGrsOdP6EQ@r~FO7XcM)cRPo~
zvb3<0-5Ibii#!_E;rlJvtsJjaYvfw|LvE){M@^M!?FhB!KIetqMAco>FE$Gn17W}G
zFlL$rTNjU%{7$r^;{<kydy?emNLUj`HY)M5Ifxz+L6C3*YiUhk+c8cP&sXj7h`rkN
z8|V=+U(i6-8bfcnWyb8YX!z&imxpW6YN1{&APr{Q6^0aG9N@RdRVXAjs;$dz#%;FI
zGeu)CVr*28RU}0lh6>{2*Fb{LVaQ*fer_Nt#+T6{ZGzP+{n{G4w3*jR#Kc`M-iTiW
z+z8R&N{tNJKDdUS@({V1nzR@!>#ZnLB><TVmHS)6@78g{tzGyWr7Rk+I8HiTTL-dV
z=DgH%JmYuk;#1<a!~I~vf!nDQ&AN;RsRAmHlq<!QKD`AN)NTp2TdjPE()bCK{&4$M
zJ!t24a-5c~C6G3P&%&zF`kMX*o{nzAdj?F}OQkFxATUJbBwq|ykaX)^;2C~@q_h`P
z3PZ*>R;bs$o;W+*-=ilcx&`>=H)D$8AD*)lO|f7WwN%zrqdQej(w-k>XKrWi<SPBJ
z*VcBJ($Ev^iLOO8rqqU7)ESmdZ-d%AAz35vIU&JS{|HWXKC;m)6B)XGktJ6;y<$(D
z-#8jN&i^5Yp={XIAWwBk+1BFM0U+a-z<<m5HIWJ8<IfbClPoVUuiP9mjN`-e&@BrD
z?LOnt?r_6iTa&{tX)t~cTSS^4#*2bljq?*79jzFxn`~FT5RX5gPmk>9yyMXx3B!N}
zzV`}yVi|i+JVSjKcSWqcd@Nx~a&%CtKqPuzLfp3Z$uE>k1x-(iDdJ}l88-1cBdWK#
z%742<{MSPRd;e%nLs0NR?Sk{=+zR23dGCYeS2=*`Rl6RQ4y4rmYtg>cArV}A?wYg0
zz+5#L=DM{lyyd#;Xse*$)MJjQ8pm4&YrJzvPdFSxD3!@}#L{J3#O`QY*K`pG@Wsb`
z3W~Gt3l?dmAO29ynZe^SCn?|DpV<%$K+M^)PGzqYvaa63Y-?B`$3v_C)ci$UY1s`9
z>WQy%^W~G(2cFEZibBDRAO;o0alAFlgO{K8BVNdji4p0Wl5qD_0q7j&2#S7h+fzg{
zPjmnbvYvpXeRl=1B&V{i{;vmkEMNy1jTKv2<w*Q*e!$^iSdXRi+#dRPP0D}VbHs5R
z>?XmtW1%7~2gr$H@>Tml?nz&F+<v)wY;}3Xjo*xkbn@dX#Fg`mv*1!Pkq>+{HwyVU
zg@hzz&5yqj#~N~qEMoc<m9Z<=5!!)heN;QPTcmJ29v@{tanA+fJDgbtH$byCKv++H
z9>2;edkH9G?gDn0+h9M-LOv~`uDKqB2HY!2{dup0Ieem$61%itE{f5WQdbJaeY_=u
z(tZcqch6sihEOu+;Y+d{L|MJNKY!J!*^W_-KZ;*?ORN6T1oIlqqt&A4(<!lV6JnWM
z{wa~BzI8KC%-`N@cMnKO$Yc1C!j2$8iM>w{8h{JB-Ts7J1Q_6wG5X0jnw~8HMffTD
z`t^?j$?AHAM!C6TLaISp`^!nb++EYZ!had<?C>xb{x%oDp~AMIK*B=Xj!m&~)q}c4
z9$DIvIsP&lA~q@_fX3b0pkW|7=W+2$^5L!s0w-wqM#wZ-uPoDG@m<W?UO~{r&N7_&
zi`9x-df4n^@1uf(X>~Q+uBm>n`ai4&9hlOYawU&rzS*v#-;0*+`L2|y0**S#I(;TD
zrPHBnC0<bF06RLIn)p~&e7+%`j~N%XsjbVXH9^U3;^S(i%OQ&4E9;AYTR5A;GUn36
z+)0jcTXKWFU;S#epgq((W$1*+YyWJdVO-I=X@@V<-A+k_@$dX5En&~aMPx=EaHw(g
zU_j85tmIxH5t3Dz?CrGp@qvnqg{7lFcqaTUO^}A&JI7A|LDHkq0n4Ob%jqCVp;jgs
z>H82cTz*)~ak*=;yV3xE@J3>&4_lO8;)2i6ko|R2H><WNO_P!yvaBU6jJ%B8h0o1r
zEzI{vhl#PQXXSUv4o=6vc*by~<1&sj^B3dV<+wkOZ$3NHXF5wnpFC}g5Us@)Zs8AR
zqT@&6u8D+ucS+*-m&{k+a3muTNsbQ_zx<~W0c6bL_eKH|nwRgHb2!8sfmrlo12~#%
zP2ci9zbZO1WW@QD|2gjmoI~4SYZ!XFQ>yfMf1Q;yG%oJihgTfP4smM3BPk&1>;u?C
ziMBs}4CG`K9{kR5Sii3Z#b}^X4MHa{z~OL}ur};zFA=QhiYn^?0L6Lb>zgtb$on5r
zpZ63S)hx*x^fbOx(A9IRlgD&XH&tCm#Nln9+&9P27JEHMiEk4R<V-fh0{{whCn$0u
znH3`AyUgu)I$Cc2wQO<(-F{{^^mX*)gx%6be=yuF@Eh)@c~~0C7LN`{S>@jX@c7ZE
zg(-7(--N(pJ_snlp@ml<dzX^*B}K7NT5GlM^{d?$9z`DpkW&DAZj}Yn7b6mc?KJa0
zalC*%^1vCF?c^o2E$iHA>G==;0%uV2;+;bWVS+by9B??7;|&P-j{#{lUb=1}-H)V|
z{(cCjaenN-5-@E&5xH1P2bn5>JsCfJHLm=#wdhUMO5gw0;joYRzd9VPzrAOZ7eCK~
zwk99h%?Ec(+g56kYo?*;E@$GgX-rb!-TY~Q#bE9~8%q^))-5_!LX0q6u+PJ=7&dOa
zeK*qZme#`Fq$J6puCPR9w^F(gjNnU{=G}h4s>dT&VK`<N#i{#4JCt~&`MyP?O(+Bg
z@#tOyh}~?jcT9mrQ<UgsCzP#jrMjFJE#o}W_Nhv#XyP}3ezcBOajM{S@26O-2n2bk
z#|T2NSykulwoB$d^98Yd&_}42N2i5o{p<wKRe0cZdj7UQz-<v6&CsWoUd#PTGycF{
z4p_NNR`#$8%VNIl7Zt;HDt^(G^RhYxyz#v|uKpj)!bbX!gaJ7><LpFH9ZxTz;g|Q4
z@7h~=7!|<$$Q5|cvya)bNNt?+E`_9jNp454@B$9W6^+up!30Fnil0OH0m)2dfPBwa
zUHC=Hfm2muKa>8<uE6;KIf#8vt{fMVceqhWuf2!a!h(16Fqb6rPMX2|GQtiyzt^jB
zch{gBtv&P{zE}1=rcaVc&yQ3^vQ<pw6@I}C<k=d>(_0dzm#z(`l>+6Q8zjogwiR5N
z7vm}MfNp_Qito>z_6R6SpcrxbcIAVrKr3kQ<ZyfU*_be4D^q@Gm8c2?x|%`|ORpPZ
z&^s*gU0?erEC6+5@J?FfN366Z>g(&@mI)olo^fKfNL%LH^1UK4e@*fM_m%>1f*6*?
zjFwaNUaEsFt_Vn|eMqcxh7o6vSL50}_e>CZ|I;(^6g3<NbM!*(YHEHNZ!RNLHc|;@
z`ZtU>M<0E@_&bY_N>=U9yz?hXXWhlQiYDBgnEd{wA)aKsCU9cBAY$=-vls<qxw6d-
zkF58R(NTvDpT8vD94)#hu#d?$SY_mFq*E!X){wRe)ScgwsrF+TRy=yE>nK;XxaI1>
zUT?;ukePjL-Jds_zG-i5Y^0jEx~F8H{S25q9TcAAOiFAEoDJi@5(U6}fTq$~bhChy
zNyV+|MH~ccXAa6Y`E4EmR(}Q&QaIu5*DD-`q7)-HIahdXoKdp6G(F=f9%WTfS^p|o
zKrNW<jXLbP=^PItH%t_8qJTEp&*pI6!7Z}2n6>Qk71e0@c@5owf1yp{(nv2TK&dl%
z9$~`%+e4`VGJeVZfGVMzoj*%;b^uCM)RBYY)z5#o>k(8=yIm<XG-Tv4oT5=E4uT5w
z(v$G20!!H3{o1)U!L~zY6H^w@dK3P(B%r2&v9XcDZVWqOy2LW~RP?d_kP3(T?_>us
z+A=09&NWFv!w`Kx4yNPT?}IErCXnRy&G5c(0(~*;r$)tK?R4CXU`J`&37EouXc>#Z
z8Yo>mbZFdrCX#opY#2zHkv`dIpb3>+X(F-Vr-AhrO71jwvFLH?AL`FJU;vgMlg1+9
znzcCrBvC1kBxLK+xnV$hJaFEr)wrFleBQbGRUXCG3A;z7^S1Ve-ztK{9hb@gV<iR8
zhjOsjzOBc-;zhNb8j`D8B!W;IP_gD4DY#D_W%AX_dABx%Gt@rgUc6S5gBx(@O1_fx
zt$j*e-Md~>&!ab48u;8km~&-2d|7D1dq^&AE)Qz<XPbB#M{>tDs`O$QF#o<N*ZWPm
z=S0Q1#4FVo$PL`2c)G0Jw$cH=B9Pr(L+8JISym&Nj{4jT`1=$BDIoymsJuU1`Nye)
zR)A^=rczU%lh^Z84gZ8Q=TF3`0fQ*Ue*0V=IQK8uNB}YA@g#>3$)C3W)e!DfKu2{@
zcyeC$dHdu^fru4auVP7hUiSGDnqq)^GZgXuyzFyFB$(>AI1!xKO!ZgoUsTy7B_-oR
zn+Dkkg2QNlQy^h6`F(RhZp6{9u=l?kBELcV{=)~dQ}y1*fZBdUwvqUFSNLi$J@x;D
zYix03A7{ztD%ya82uXGB0`>21Ws9DFN~@B*Qu^DsZ(Zqc1CA=G3(=8%Fq+}f3A0|u
z230+%A>Qzh_$^Iz1QGO^Y;90dqsrMO*||=%T!BUZVq^q5A*8;K{~R99-Ref#YM<7E
zS<HSu0#fo8i-_>=s7f0w%s{GarC~U@?|J2Hni3=h1f9T7OG|E=axQQJCWnJ0ZWr^K
zblX6sN>%*Le>+$8T!fjy2%0^HH-8<i(qtsemQPf;D0g1_d5^!n27KwWTJ?+nIB^04
zWc~kd-_X1mEVESUCdS;}$;Zte)kH-~N%ZM^4~6e}k{_^kH0?>R%`b$~&AwCo)t|!B
z*OPZ^V<*D#Ox)hj<e_=y;QJEv(krdww|TaqhPO0re_L@OF=2m}g}e=IGq{5LIIw6Q
zVek=co=fslU#EcUK2PcXWKv%M6UIy5CK}q~L;I|)^Q>!M3Xp|uOm$CH+&pgw)$&Y{
ziT(CG{n&T@KJ!V!9-QW*-FGU>$<K#>xlk%h?pe?^R3a-~E=zQ9FJah0U?N_^zvI+O
zN;qM)wY`;Zu~(!J+&8$^G1Iw}e1mz)L@F7qnG|c970}^vPwMPrOW-Z48lc_ZkDV47
z{>%(g8lnrf$Gt3d-28G~kiZvRRpW5<MW_!`!Yp2>+H4^E^;qid;r%Ek`~u^OD#E7f
zbFt>qC_1pL!_r+XV<6j7!_dG|R>p0l4}y}a^e0}>r<u8Zcct$D|CFcEXV;}8O{3%%
zRod@*4^0;7{;u~nkxw{8664%%FrdgRCEZT@32pt*yz%>cv9Z@VMZb(&l21*rTwN(9
zPuC{i5D0ExFh1L?>PlP{5KvV<IH}OB6|UNTUl^HozY97rRZ7@F@1Q1E=9gI>sZYCR
z`Gz?QsPW;^i$(gsYh)qvX$wR`H}9bG1N($IDw-mZ0TIJ0lM5ZT>bp#|)Uw5nuLiPR
zQuiQdNFFtupD40VO1wXM|AvMQZ4s-p91AH47qEU_)?N3#aPGiz&>lFn{2(?kDDUl)
z^s*o0c4@1totZyFx(-AU4;ge!(*}&39o%BB9!&B{6%VL$-^}*s$z@=Od@(aD?&NA6
zJ^p6c14-DZ$>Ao3F#YDSU5I?cvt;XY;R1!lOqHm!i`_yYSNZzv6_boo2=+)6+lLIm
zo9-^gnrhy&{ncBfComCU7MRu4hw|yo&|sotW-vN?#@F6aJ{Dy&(Kf8k9@w{)CP9m6
ziXFT?AJK+1b?+3PakUPJL%UgcTk1S%3fOf%jvkY(x+iycKeVe1jsI-c6!IgjV8fS;
z+OewX3i@{5x+XX}qCGl;jE}q5Y-;mE3B)8;__!}E1KkRi&`WRb#LpCZ-}~wVrp+i4
zZ7GvYfL3flW_U^m_?vH@AuD%9)T1Q)Bm8yDXJCmYhQOgBp9QG6_r@f--ZcL=JFofe
ziFN%N8FqAW@#C4n@FNlR_aA^WpOrZpvAPtQR_MKLK}Q*@H1yKQoyv!w-1d%$x62a>
zI-L5rk6w?fsRkXYb~O9hkFOapQ92AIX8LprFezm8mV8e-?MP`-94f8^_ZA4u1WzG~
zq;9o%Q(Df+h*})~SY0}+&9QjPHTuBxz+AD=Vz<Zz8@@NF)o3AWdghauG55V=S<!eH
zohxiouCUYjTE<?h)Du1@mU}%H)||Lw@0xP=aFw@NfTZ;fl~G_t!jLi1-@)J)X+-LN
zUjkmSedA_#UdL*N|HtH1d*0EizzH(PVKCvzO1mwqAb*Vh{4mt><!-vMww?g`=xuBv
zlgR8xDJAl?$LIeSfJ4h3Vjw!OX`Jz~vi^5dL9lcwxa*Q)x<y9oVeh{1ildQEKZCKa
zw6w?c4u-G5t*@^CI5fk`*&h4RuH)75m*O8kMt!s$HMX$)s(#CMZcHrN8n3Z~J~(<v
z-Qj17%i#!CnU(3CK$BGAV_IDML{-%(v?vK|JA-Vx+u>njeJBc-Tu9xY7OWLt>pgbJ
z{VF>fUz1$}a&ybBvtpfdFi4hiR&GeV?#p;BR~8fagjLnZI>o~`1(kb^u*R|_2JjyD
z)+Z+RW^JxGN{Vh_=7vJ=%(adg#OkiO>E>L^r>?)MI$nT)w`UfrSws?~ms_6&1`OJ!
zaaCx%B%j>PHGtHW-xl58m|l%Mb`2Oz67yVJ`+&xcSDCkD%@Kz_LFHxzxW9F*edsXD
z&OR~-wvayTC|50d6PSvL-r)(#ICeTNC*~;X0!2H)a*c@&PFqq<lFQl@oaB<KEg|!8
z745SJB8M7qWNE+^Qk@83*M2d|{bzNra^8c?R7GF!s#qSll5N!xvm5C<tAp<RQn%T+
zue@;zNcRzCidwEOjB0C>Ig%wISt~7ki4-<tYiTC_#sO~m*o-9EmfV0j4X5sIT9X*a
zwm~brtho3kAoa?!wlFX=L(|fXhPCBRPdvii>hSe+nn|SskjBtPhMw|J+|txY!OqTt
zlS`hd%$A7r^);R$)dw>$DdXjVgpQm0-rh5_gU``rEcOpDMK1I#svW0W9B{Mp@8cnG
z5X2eM;Va~J8F`A$n^0b9uWPSSnE<cqpvzrzTf-*|c7K7!Qn7biiS5hF{O`;}b&0nd
zddXMmxK<INBRlh2?fHyXfG?dsORKDPF`D%tR?+I~R2-xt1#I#MFLj^%QR~CWj0P*t
z67a`a4jnh>9mZB<l5~F&9VD)TGm<w^{*pEJT~o$>+&;$>tPloxOam9-oxNt4PVcL7
z&#1B+DnX3c4!b?^{x<)}UIEGZD0R|#pa4nqEihk9k2!Gqy2^F9Wt^%$W)?E?@qPiR
z*CBqw8Ul%C5Y9#>0Y{jknWf5+aK)MZ2j%FnWnq!M7&$8qpR$+hl-h9D%EDH5L-%{>
zE4J&_fx9XGj6-McYSsxXSZTYNcJHaZ<~3q=f3=FJMbDboW#|AYeyKi^g(aiu>9)Qs
z(9Q;*)qGJ(D!Sw+!#Fq3^1*XXw!8&43zDt{w6(J-YGGsc<dZRzr!)P2OH6;qv0GGW
ztaw0`da7QsvY~iHU4YrPpxQJ`dihfbb4#w`Rkg9Lb<^v$pT0BGFg7Zz+%>`3Ps^Fa
z<YgpKd@YnLKeQrFVT3xcENQa{U-0!%#(FVP8lp8a)iRTAG*K%{^|=bWs+_uW%Z`6?
z#A?m@aWS8=EW93%>{`coFLg$6)s0!()j4m?PZ=|zG%PCwGO}DQ0%@W*sW@Ms$EBQA
z62Yaw6R}VNv4-61bp8Xm>@4Y9uu8|F&)me)et1TKc#-s5%u;e9c{Y^WlTlFgM6u^m
zR7~LewtGN6z7wnKFlz{uI)K|zYJM<S!(Vu=&y+ri5er+nA0mrtKRBWdU3=hN5A(w)
z8|m!C#kXDS%lme<{8>;)(~Od`a;uC8bOe<5Jd@pX%|m9_jj5*)GAbIV7o@v9FL3<*
z2``RG=7iir<^Aw<I%mtSVBlx7{rR+|nF4Kv{`#^XGt+9ELw#Rsed4M&n3!mLtmJ=8
z$WlbV=YDWj?yu){wM|eRe*N040KOAUpm<dleL7~*z<&F(r(-AnkWX7_>U&JfYFIQH
ze?dan1l>hG`CiO8vakGxPGeWpZbegh-Wiqyx?7!vh>t$ozpL2S6)}3^Jit;cTH~X%
zAS<xEq>F}UHX+1LGblw7@4iXSEjDUknN!{wYpH7|vYuJzcgk1!zuX#YFdQCcVFHyd
z9@W0{YrR(ADm?PqR^o6W%DBW*u|@nk^_01xp+knc0cySbWUcu57-Oyb!=B7fV~lFX
zwG)D_=@lFlgbp9fb%KCcMAXeqbdEIMQ+eC;S8}1&ZAglLzI;)8`(5#?CQqrFy~tF%
zXg;@*^5+(OL5ZuQvR}a(GtqIbeEd4oUQNMxLwss_Y%Qi_@PTkqgtSRl)+{>1<2%l+
zP8bE^CoWLxWDPVz9%|2-Pzy-?f(E88^AA=6eyxV<rI{;Pi1&p}zb5tr=KY@X8YV7i
zUVPxZD?QT#+36041%#)I*?jGbcSUEIvCJU^l?FzdzfNi^sNm@@a3$V}g=*w?ray3*
z29CwPz=_j#HUVe59fw75zfUI|?cyNL#3H)%3l?e{MSh}U6ImkRa>Iczdtw1TPE@|z
zE2JVW7!!spTpc{>U%?yrP*{WyOBU(P(33si*BGx^?Cu1M@pGX!av4UDhuFvLqv64h
zs%#<ZH|q8>QM&lNW^DkEqO>1_Jx|MHlBu`c?HTPQ`K#Sx_4$IXJE)+GyQr&Q4NU{a
z$J_dz(;o6HiWleWBuJi$W^tf&w}n|U*J9YiAY(T(T&y4SVtB4v*?MDnZ?#fxSuq4>
zShrpL?9`^`#ASPdy9gIXwz1b38)BObi>dFJq1CaJ$Hj~q2K{;?T`(Sh)waiZr{2^j
zg?{d;sG4EMJBCZ-<prfO(a-GGi${i5W44%Y4_(w}mo8oO2aTYt+7jaV^r})uj9(c*
ze2>iW*3eT5$DSHK{01c`C1*uWb^|V%I&jfGc(Z;XaS#kIc?oVTj-rTwn2o&69oS7n
zoz^RcYu6c-bfG-9!{yd$zB$K^|FX4&Py~;7X^cMb@0gO~thnm*<w=D=p`7n>L@j>6
zOKQi$88H=6qJD*x1W22_`GD{CInO2KAwo+{Sqi7S`LT8mTP@7-yaUfa=qpuuVR8}>
zqVdkinu7DQhHL)JFftag+i*ly9OtEPVlqDBj9y(8PX~^F;_B0T({-V8rA?o60^m6T
z9dVxO34((a$L|#~Ehr}xn9Ik^L*LldAMF+eu1aq%F2OTQYJGSA4|i`FmE{(-jl$z2
zB_JUnB}htlBOom;-QBHpry$bZf}ntOcPXXPozfxQU1vReZ{vNxGtL;_-?Ill7+dc9
zUTe;|=9+oU*Lb?zhV4kxsf;@H>U=^*dSeF11!ON$u(h9$+Xfe(D1BsYEzT9;WgqB|
zHN)|&^W4oIuIA>le^<d%^aXO3tT8>SWADo2J9awjVM%8;Jf%8CS(h$fwEe^266p@a
z55y!8g+m_xa=wM5d{vj-BWXEl^JTN!dxLYH)<|1>%FvO}Xl#!bmh&E;Hk}JjO2sS^
z&hRdeF!rWwihdN7d1!a-4Um0~u`%Y!k>|&C`5JTM3gS3F=VQWeS-1y&DQg<i5EYYt
zai5{Gn$8v6@ztmH6Yu}+v`J9kEGN#>YiYK2b3fiNNylN<#35O>y0;@&b8fd;kU7}U
zfl0`xxA3)!*UEAG)|#Y4+}-ia-cWnl?molAvFsH->9L)uQn>K@c)3^CsWzOh3e#sk
z>C>}}sa!Yiyp;7Xd+JAGN)p(&&p$W|+yri98fo1}04WL(*MT>G@H>1Qhiv|$SOkvi
zeAt3qns9sLN5htF|Jyp#fp1fon&Ot73(0B0%DNU#$`OLJv>P$fj5Idbg{Hme^6W)v
zClSR7dwJ#-^Zq)Nm)ENdw=An8gE`+DR~)Q=V15(B9s!#!!R9onVp6+H_vylrCHmcR
z;1gmg;}lI7^WoKi$-5?;w(^Uk&!lEQUu)q$cl6Nl@~qH(E+#!A-S95G>Zw4d1Mnot
z9a(qZ)3GovMrj<)&4_rU@}-+hr6?6S#9OQ9Qn5@$OW&z^WQA(3GKVr>+-sO2&|v-w
ziU$Q<bdcItZi>HwhCWNT?rdAv=Wztr8#l1NXws}4Id7seU9BH2xne#{)4h&6cp4Rd
zem*1?o4|D4#e<hplz$MZTyx15dSKKrj4r_8RZdgfA26wr!bD7>#9A?4X`Yeqmf=+j
z4^M!Ji3u<qtb9MK;H?tq3{H4rsv<hJzvz1mpLX4Q$<kKxW{XvbnsB8=u<`h%aY-!g
zj7r0gO3NppuVphdF)M=bMWx8`X$BsHbVO*0eQ&&Osg7Y7PODwdkB`_vi$-L&7sl!R
zL0RN&4i0a<Eu1W#ZfpF&rlz01Ty6Z(xpcKPz^!`VWM|s^GXD!=zd2i_k^j;548wYV
z-|TFa#nxO<qP6Am;(fl#=?bzrt)#5s7<Z~s>9>(X??rDfY#S=%$lo8!4Zo72a8aE#
z*e-fn(?euxa=N`BPUm8#d%U1&<72W}_d#zMe-pg~T8y`XKUig)_zHPG()&3_^sQFe
z?(Up*Q=yMidR8SD+iv=KLl={rn};LbLb-~8P$n#EisLK(J1u5O;<qX2>GAEoNSMrS
zSEClYnL5ae`FyrZUm85=%eX4n7qNW%GUECi@tQp>d^$sg_4cqNR>0>xi)HGnPHC8&
zwcz%AXIgEor|(-g-&N%GBJGX9b^&l|t&(|v{<Mp2v9IRvI!3wvdYEyKX_V%3pF~w(
z-_1$DQLfM0mUG{h{1LhQ7wp(<_xsKQZyT=s(sl*!b<_2Enm*#UUyCZ8xG>OI=j<G=
zx9WLAw{7DV{#CAvJJh)Gs;e|nn&@4S?2`8--r8_VRsVMK*-{SsFd}mIkaGbm{5C-c
zJzu3&<tol*m;Bo9)1uKI*wRB=bk1hiCrzWr+58t{R0U^TN1LOUh}9t=ZjrV8GeD^(
z$=!Q0`sHRIn!u(t1~yB*-rz|$4Zhpc+q$oO;x}^gjLbK7wm&UK4tkCewdp)aGIT#w
zrjOSP9w)9QN=)-brZ-H#dwbPWxP4(kgqNJ6QLb=)5jpPV=2Y{f>(iG$_tM80Nbn>M
z_aQXmsK4VPc{<P&oLsXz>ka`EwLaGuF}TQ-T1zQps@EINz3+5*5uOJb_N19<6`c&Q
zZm5Bzn_2AQan=d02$U>_uT$q_oLqr>q@>***cmKc#Kf4`d*LTDZy$O3_3stRXV6Jb
zuN}Ua?*k3rp!;30Wgapo3)PJz^KtQXFcG*z|4OdE9gZBwd8MpZhfwz88t%hmD_XZ)
zSG9cXsrETf!x*E*ib!0?qn*HldX6Uo%-_0<m=gPB4i3(p+24jUZ>U99ExTTs=u8vU
z;Z&=%ps3fg8TlFIn$K}8zV_7vRkAIvuD>ezh0-Z9ugl)?`BYA3Od<=FJDYbg?ncz*
z*maL}`t*MymuJ#FwQ8gAWFofzvb<?WGWMz9CHl6yVY_J1!E(diLmz1w1`?}woujTm
ziI%<DC(<4gTvw-&rkCb~TW$92YZdG6Ew?T`ZwhAaE@2sp>*DP27+MtYQTbjXpb?nc
zZBI;0z!`QU4Kj^ZtW_p{aqQF?8b5te!-X!zn=L(vV12TY{@`?FRE(~_7YEO&U2u2z
zVa!!4eo^X}!|ftRWTg8=p|f4&PN5=gR^32s@%sD2D6F?^Wx=#`7j_jF(Rjxe{Kxf=
zoRP~Cb}!Vr`xb$AT-XYGZj15s=Ac-FuePQ|G1Sc2ihVOjH)gZX)fy=-QK*(`f0NYC
zCJh50|C2le>EOz~Yfo-|Y?1u<RMG*b2>%~335Pn??_R|H@E964B+KSyx6PM*pY0Vg
z5$>S`TmYV=_|fK<*u9~}K0mcHM#7FdrmInRCd6XibE3BpTon3*;%?0(wOD98+d%*L
zntbZ?fSupa@chNed;R{gt6sVT7u%zDu7kWARh>4YZt9W9@;mUj{k=>BqCdkuDhS6z
zm4$1cS&Lq_B+5{$qG1<rIcFJ3FTb81s;X8MR*trbd=Mp&s<a}NW-Az#t(3?fQtxqC
zi;LWRsyMc(-ooYaEdmvE+kZfR8l!xoVWz@Yv(>L#M`tCW8F7-mGe%!5J*=K_X{zGH
zmDhrcIbc`fuBFhZk}7a`cnA_MHW+zD2gj2DLI`Tl;GXM<^QW66Qx5cC^q!LYZbBgl
z$bPS|kQCq!O^kW!uzoca|4z(Q#e$2-xtYry?SFTctbjHVMr!6Szs#*)nUG9pEc;y~
zH9m=FC4c`D1}}6&OpLy{VmBh7ZmP~w&E0lxS%0RM&e5JNrXF~G+KIEAMt^|CU<riE
z7Zu(S7Wh9gKUW#6J7PmPWPE7`IIbY(kN)iC-^5FPFj%HL_b|$D*8jJh5oQqmL~DUd
z`QObvejATLjn$*R%3sdP?=5q{a)512zN>#PAC?iybO-sPf?&3yUrC_fX(BXG(mcL*
zFVpRpP4>$y&wB)7<QoezbicA0zaCX+1J}y`|F<G!e9SKL_vW2qTRWQwIX~FWRN7?+
zwLEqbVHPr<tM!@|-v+VeamF$)=A&Q%K&4S}zy+H;3#8wy9^rx5^?T4sik4tE)qluH
z-ux2eOvG6@%)CYpdJ0G@K^9!(@|u<RHxCrppmAqjRy$fbHYVD^&P23)lB~sSV|@x{
zrp2iS-cg@94(WsoF!GQAk5V$_Qh)P^^aHY_fs~fzo0#TA5)ZM`@KIy0V~Y!mdMR4&
z30>@KKOq$ieeA;gOsVwW&t&dkm2RjdkCK7_6dw6tf!ud;w8FTmLrj2ffe{0k{rFrH
z|G{tZ%wvI2z1P%Q#nD2urnVk`$V~ux-Sgi8Dc-;z{#~Gjk;ew@IhdNt^6s^YMi^7J
znVc#w=xcm}0D9!50DUC%_}hN<$iqS6<%BBUSgpHjvZ-ikiLhbT5BbpLVL+aV0l!GO
zB%tq??7{hI$_TAp=bxIY*c1^4J%^+|9;xpeHULBv0;GU@hKca!u!B65?B!daLYjJ>
z$yT`|RmJiD2oiDvRaI)#HdB8Z(ca4lDZSy~@54q}ap{>LRp^ElC7j>;aQT};V1dsv
zbqqaJjMzO*MkI(qmihmpZ|uM0N%|036u~I>C-!ejf`d*3t+xG<0=l6<iwh3UioFpm
z(D#G{ocwcF%)b<uLOK)xcEO<7Mn;r52(YmocIwtZTgiJ~J|QizoF|z2D2`8>WIO-p
z1mW=3EV0nAi_zBdiVA@HhHXi1%n$yQ14aOH>y$qPz<5IK2b$BkrLAWhC*49}pZz}@
zr+kH~uztdTyP8h6r}^w)ec?!Pp@8e!wMc&$iIJxY0e+<AVAgAka_{SlJBa9oW2+XZ
zAg{{+vG&K&+>IUl!^{D)%<z)p+Qqk^vB%WdxYBC8Z|SiQwkA{3AW&I=4F!o@MZXGc
zVc*LTQdCqtzxM)$CFct=-xIQd9={I_3|cbNtF#iYvJZaDeSYUhgM|12(?q7bpd$jL
zDg@5QYb2*eOz*dD6w)Ej{MHX@_t~;_%M3d}i=G_s`iFW1zkR@jcrjnG2k~Mt?!WXQ
zU>0qL@2i$RDF8FJ*w_KvvjQU!x>pNi4}YI@p-fHW<>h7W=>mXZc8E&|{s9yukotDN
z4*gSh0Ow~(Igl$)V&+k#S@mkx5LW&21P^`;F7Y1T=f8w*R7yyKB;9Q_86a$put@S^
zpG_D=7X2nC()@sXMi|2HZwC^=Q~K$+%|{WE-2u$a4}nw4EI?-O{Y`I>dr$IJg*4#a
zQLCke6@UXo4*dE0s}p>_-!h5h3~_UFgW)2<O9FskO*nqfvps-Fh~SaCP6G5nA@nO8
z;%4f5y}#CJU=Y&`pjKGbA+DebUhrz~jxvmD%1J;vzWjXh%N~RgYz3-Xti5jC=CtV<
z_>Y{)01C2V{#{m~U<8eciAl2o_`fs%pTam^qNl7JXY;Dn7k;c0c4;c;0ufXBtBeh{
z2ok@*z`#_yX1DW$mG$-YryeIVGBSnD)fS-N6^RFYJ<8)F>K|1di0hY>1W@XDs46?#
z%|YQq%H!4tKT{Uu3jW&gKffyU0@XN*nzs6vg#7bsrYT^!RS;hh>@3691(xv-4}>^i
z{X=Z_DgPUk8GHoX==eL8D1WrqzYmSVZuH((3-tf_COD{N5FoB;?J(`1*Z=z^Wj3HZ
zIPT=~{5co@zBCUXZ1(?lBcfw66@RZv;S|Xj{D-T@TJO9~3kP~WUm4_~_<$q7xVSi?
z5KASi-TU$$z(S<~ALBi)$NycDfdRg+*!bzwr;Ey75`Nc#DY<OgE6Z{A^q82TdMB%O
z1G7+A!^aO8CHQtzqJI<5kAR$X<<p2AV4I_(Bj7mdaQyPJafVmEwhw^L1{m4^O>e47
z_R<=U8VKkV;L7`JZ~VUyJKZ2y87Y2509%)YM321b<%aG@|BCW*{zvzR-&-x~3_O8a
zCcvn9KFs@@nn)%PsjCesNy(@qw3v~C^3NWpJ2;LOuU3VF512@d0(_YuTafKg6oEfv
z_WMpsdaQ*%s%%O;w1Bmo|H3MUu0nSM97W4JfG0Mt(np|)`#*sg5r&9gOWBW&^sEgf
zB|AFqcd7?-t<W+&1XUy$Qm{Q7apK?mvm9Q?)G_VPiwC%-?jODC{7dZ|f&2mhTBP}W
zBkA5>Zxzav!)88E^bkON{Ca*%1;al}8Uu+1rg#mR;ud}@0zXo+`5AAXH}yEUIT7n0
zC@UUv=kbc00coeD6hf$#+E?WH{pJ7G3%v)nP}+!m@u!GGILy~Mc_>-r8DHM^bWMq7
z6|H%LL>G8TJ}4wAM#&%fKhT(;Nr3y@u_O@vFP;AH$xwmSSKd|G_*K33>*V-ll7ph8
zdNtwT->2xm1C>dOWRI$-qVQ4fFAkIf7;P&OdLh_LkzfYwyc^yT6jBx63V=MDuMVV-
z1$cQc-qIC6ad>DoR(K8otLmLLod?D6+z=xPxfmH3ia_DrzdGUwz4hO^ovPPDK)w$S
z4+E-e((VvdmIOsS%iMq&)Da9EBBT$HWRjQ{)-rsYBR-UtDwt_%gH}=i>B@BjN>{^)
z`Ba^?wY8HWX8;Z93bd*f%$GD@<hvcNiUgx`#3#vHtONY1$t$Z*Dg~;b5!=?7!bg?|
z*#LGY<jF#-ttYcuh6uTAwNrUz!PVs#Mb+9uFLH6r%8f+C;RnLj-k?=)b`$^|t--)B
zL6O~~m6erbI1}F{a-DYoi|cYJQczA-HvYD(>(S=Or`W*a@blA_TbmI(W#tj_NPho|
zDr06CaYw`<&jfBY*5EcbrmC!LjHNTc=iY)sCABcZkE9CY$WQLi6zlMbe3rALlZCVD
zI|SwX4CO#mnqC~O*MkOWwT)WPDZV-gI>!L$sDbshgYoly6We&3u`qL^{{hYY*K601
zW*moQMS@TVAvzT^HJ}RE8Kn}ZRciWTnbmHV|D&^)z>ui9&TM1?uHKjrC>nh1%YX(t
zyMGJFTg>@~AKt#qegNGdf-jo4oUYymEbaLUt5pxp)K<#0q5132!G*vE&-$<0RtQDj
z0y~{7HzDw4Z2~9{<>cSKe`j?D4Y@Y!o&Zm7+7(3l7rp@0vWNY93vEvNL5H8JK*>5l
zV*axL@Wx+xY`=O*{i#X|(}~=7?v|k0kO6{hWOd2zj;AN}KzgShQrS1|4j_sP-c%J;
zw*Lz)15V47n6HDc)%ax=KpwgW4!+X@1DiOKGP)lC#GF!I=4~(s*t4B>Xc^lkrlzx?
z%|L(ze+>ZnExFS^wXW`db^b4=wV&oQ*n2vxvSKmvl%VQ&v~zX20$#Viz#QmQ%W15(
z1qE(pP8vTv=3D(h<GYsNzlh8uFCn~$6KNi5T|BT>Y|ynC1&{vD<(WJw#ujv^`Emyb
zAc5$$=ynmv0x1XO#hg#8A?h`n6rKQbH-RSx6ttFC-fg1=P@k*cVyP1~km3JPMxX+p
z8<G281ZiU6Zx;tJr9T$Q^oO!PK2NbKt^-ZxD&C9jAp&>zKyC6J%vMdDoa3gC$K-r`
z4V4mSzl}85wQc|oGD>zfDRhI(5B?59l7Zb!?TfBkaZ%Bq`V?z;SG)&Y7>uwUeo}+>
z-+}=%VzH1*5o)mv6mg)!8A38LVafGrsi{_`0=J;0q0gX1w<%>sSB?~1JHIdK&mz94
z_Ir)@+#!CMRGClHd@k0hd+igBIEcf;!{cGCw7i!(>gq5M2++jcE0<gI)OLnjY34GT
z-*RP8g5>xd30y+IE_`4z{;J9q`azbtou1*giodSKwq^UHo|1}+QN0wPZsGTXmdERr
zM7{4fN5k?=4O`_Pe02u@!Rv#L#0_siH^2G>e%QaRz%yyU;((LU0T!eY4cG;Hxq;6O
z{VtISFd~48(kwR)p>YQKAUHU<1yn4rs=A*QH|(Uane_o<IG*kX00NdYooEW8$t1IO
z^ea93M-2;^W6TrH54c7Ggy#3K9JZ8QY?)A|C2|-MPdPxS0DbDb0G+JCWmmxa%C%R8
zQx^1vf+nSdFZY-{*FPpM4`w^`@leyye5ypRvYu4DsH@D?(9i&23?H9%{0pK9u+@P{
z9uX2w$W_choRb0W`LDnf3cjK<^~K0zhpgf0<<!HFkU^O<SM|si=;I}WbxW$qsRuv&
zn43EX0DwTTvOi}pD@(Dwte>i8>q=z}Ff;@Dh+y4RF#ah>BXdV0BYk;n&D0ER6M{gm
zYyf~RgacDxnCkhjg`Qw1aafJD-4`rmI_@R4186^yx#rStMVG`+-H(8QNaL~cJ)W0E
z-9VuKa+Fcy`@_Ue$<1(Sk3f>&mo^YC94dtkK_NPA^1DDg4p8lN;OX(7FULBEC2GG4
zF%_Mj2ECu|0E<F8kuhE(WJb%jPAtT5*LWAS^jTy6PqlF$z7PJNFpl5AWBZwxT^4Hc
zZ10BU_<EfdqYvuuKRt@lx#qK<7s|lbHwhz`YPq7nk4_vB2K}>~%qiq3_+sZ}b|k;4
z=dJHF<I>U!JDO5X_(2ZO=6H)iwMwtD`b$0Nw2|jtfWAH_+WGK2wsH6iXADOx?%ls2
z*@Y-!P9d30zP}I>R#Ze2$QiRUuQ{tu^&f(k&4c7A4kWOFlkapT>b=%!U}OluUJfa{
zj#B})_Z^uJHT9ew|4uphUs?!gvkfOUb)>jdA?5uQot_qdl|~nTHOp$CEoN2RJSeK~
zgdH)4{#%CWAMAUhr|%+z`c8N9ow=Nnu&{qq2Vm_61h_`yuWNc9{?-aYXcz-Lt-zS%
z7+{u#S&C0y0|V{>bM5cHfP+Rvz=UpLPeM%sCt-}G71*lzUl8&LfMp;6vkW|_kN%kb
z|EZ09U+@}~OhwAS&oJybLt!rYUK6(a{{eZUA~b(H$#?&(F#qy4_U>b3x-DYPui{Wd
z|4iS-;yZ|Bw3TBw`Bk@5`Bj!xmbsb*V>%uAPWQ6%Q18z8X8MzQ?51OspSQ$fqbFX5
z@jrjJT<7+#-)rBU|1`~^-*wLF-I_zo+~HHKRuwoE*|)x62F!myM3b1UsolQ4d7h{A
z176thm~U($QwTKmyCtU75HiyLelW>foA&{oLPBP*KWnTOdt(~qMu-VP^MicpL20#0
z(Vtfe^<cL)rz9k-%HCu4=yUlw@C?GeN}>q=h6jSx%Hq<^VStGN|KCp@Cj=3lNS|)L
zu&~f_lO-<VVgKg<L>AfZySxvy^T{EDqOA>&Xa+?!958=9g5ftop)XUIoSY0=ogeBn
z!NG^JFBwpvegcp=x({PI!HN}ZpvLgUoFf~OP*I`(eheevs8q>WpBf@|o^(srqJ@1&
zrC+rTp`wSB$qGTZt9M&Wnf`27MW$6scB{A(k5{q4Kf1Z|#41?1LrLur(BmCBDV}-%
z4=l95UY-@^TUNCLAOW7oQUPao4Am<4d80Ye2h2Q18=_)Q1YZVT0fBe&QzJuq(z?i)
zZ#V!Y%AC76^!`xd4II3cqsa<`)C33Q0ZkXcbT4?4@$oAWu>G8>N|Z1${M5-w;fbtV
zv=4FqkOB$Yd^jh34pZ5wc}^~#2116R1g%8i&athbqWiO(f4NvD4fg50+hof4zyF0r
zOo(xS#i@Zq<FEBl_-$=%iBKYjz#w?y!0la&pp0`)&uoguOq^`5UHr(27JQBmO5tm?
zrfZe+TT;j{SRhYy{rL|qB=nsr%5yni;G7>>)l=Qz(uEJURr65-mKeVEh1$#fu$5K)
z!yqydxRsFg#HI+#@nTt0b1YLL5K21Y%iLS7Xi)U__SV&XbUjskeNrF;Xz`N@(Bj9b
zS_P2T|Afg8+ytJBerdq#PDsFw9^`gn%9#hzuoGwkpQGr`YhE0`uUJuV5%fOCe-U6%
z2Cj`s0^E5~&5u}`4AEvAT$lz1mk(Y?tOm<FV8i=BAKaZH!C49UbzH!?2@HVS;3Db`
ztUz<*_D{prh$ZTC9!)@cBP2^o3a^d56Vv$wq9Q+U|Lw)`bzogE0q+*Gl7a(_K=UfV
zStH{nUpXg23S*H-gm&^0#L+33tc3a^iDJVe&zsk$ri3CX2l^_B@DAfx6cCiWL?2Bq
z?tGj__s>54qL46-X+OA+YJCfPTdO@fUE~fsvCQyA@DY1x3a4Zk8W2ed1bu;CN#I9w
zudtQhxi{;9M(n)z{F5?_)>)Ch(TVMzC-WnXJhb=yhoVGDzavS)Nlc=RI*J0I*upS+
zTH5kNOq}5*g4!VTX)IM?*kgvlzLW0b<Ygt=6ZklM49Oj>#boK=$cwUoML%h-OG!Zj
zEhj7?7aSQQ;@7V%+3hFsB#OnshnIannf+oB;FX^tMDtGJ8hB%zZ&fw{OUMofVlI&o
zONMT?QJ47Q*Qn6jZkk}T;BAgDg2;a~6dWwF34^wO4;cN122u{!HL^WsEH?iTqRK)*
zY4N>hL+>qr11ebU<-;T1KY9ZEH56XMm;9NI*IQpRBvPtv&@G6XdeQ@TeZM_on8%d$
zdR(>mk0Jz|jl+n78w-GG5E-~*Zs6DvbosMLpN`cw<iG<KwWIrS+Dv`O&F$**<N!w!
zeiu9HUgha-v^Ze6T&tyIYTf~3+n^tDk!)bLO4Z|k&KU+L1eh?dU%xi6l0$=uk<drv
zuMlmEK+9jM38tf3N&J9`v^`nTr5ADl`yZsNK!-)3x*UU3_Dc!BkZ;|(vo&d9Nuu9B
zOMoT=&5wX--!4@Ku(;m}{oh|)-}pjHgKdL?$o@PJQ;e1O?W^9aN|4PH106J5her_d
zzn^>~gagh=v2d-W=AY9ETM}%Ue9#BbZoX4t@;`L;%Oh(QXnhnJfTL2&fe%=W0R$=-
z?zzf;&;0Y`cX^>pxWtU)V!*^aO~@<1V$Ehtoj>n4Oz=H{kC@ad2?_Nz1N7ON)XMhz
zbLfP6spenanr+|Ft{`Cw*M-uG3gOP97z~U3rp@nPIKqK$k!>&{DEVt+LflB^B=hzP
z%7kPJZD4uhrGz;Pf3B=w)Kd-v&vw+V)BYu~|0)<i0&$^drIr(D!}j3T`)_BNIT!;1
ztsE<I7HR*lnoyzWA963Mnt|0l#)!J-h!mwP_Umczn#?QMADkzzqX4qyQ<C1ZA3adn
z{Jj-2j0)Jl_sqJ>YD4*@g>e64``?6x{Z5(&v~b&VC7VA4^F<nY0GUFp&6%MISAu?#
z1gbxbc{J`XlKi)47i38|kJDLm<3C^hC2j^3nWX9lfuC~z{$2zY*s_Gi6H1`X&|o4|
zd!OL-pVx{K!*Aaqa;j0r#_}VO2iFS64X)*15;!jlRyC1&Dwd7qr%nYnOh4z<`<EQ#
zM*%tbPxdl}Vb?eYrw+wmFZg$H3d1laR`TWS|INg}0Prw6q8K=N957CzH5d^5&jSuS
z8$uo6S+%g#VyxeH$FE=V41jnS1pQz}Q~Ouk1E2tOCLUZV(a{T^%Pb_xFrGnx^AVxH
z`?;a7xA!B2kmGJijw0aR6LPSbxE~6#68}7zS&y9QJ-PX@-b2NQOaU7Nd7c(9gRJy3
z^%{_;fm1Yk0FQ}82$W~(du0(ajF*th)9ui+hwN}L;~;Mi-1;3;g}^>QN^b@C@5$CA
zw)?eZL2_K2vW?d#a+vA?s_LY#X+TmmQxOUv?etuCcm(K1rFyjamjdqhv?L{$QE5^_
z!!8(}Jjsh08_h!!z3W$7%bgYuB9@Jugw`!O^^W`HvDM>mEcn4BEg(VJO9Ga-WC~X6
zr*n3*l_BzFNUvLaA_Z7)g+CSYlFcXjj+E%pe}4dv=XZ4E_zI+vdQ-I2EJWq-kqJqO
z1w0?Vd=w3z2eVXw=?@n{>gmJ)S)kZEH_I4IJ4ZEZu#|?WIrvX{KFV>_5O1VXgb8(x
zmw_k##7Qg<6RmfVUI~uG0kKjr0e5cw_ksL{6#4n4)7d37mP79K53%kiTlk*Bo{@4H
z0@tvT6yRGBa9A$q_h5YnJ?%RHaw|I>MCYg|C~9ey58_V7i*;qmJ!5PKv&1L~M^;oM
zd<oe>A?s8Lpy%2CQuh|p`(x0g>%2L(4Z;y8MF78#>Ch-*?QL%N>F2|ulC)Bcs0*}v
z;v86f&@eav^;=U`OR%B=T9PfPTJ^dc8~KO%L|C))S6TA-z^30|gH4|?48V~Ifyl@m
zpX*IM9pb|#04_F1S6utWo3aIjD(1W|8AbubqyIg90st#c2Zk|7ugn45xk$mATDr>4
z<!`YT;Q=T$;O~-HjI^874vs>x4ofTok6z>HD1Sq6a_c|>KDWuu)p?)Q%d(}evGx#b
z;8EKi)L2g*fJ&WM({l|FBLwxAt^ob*Q_m(0lMaoTcZA(gU~mYAwy$vpFdjDngl<T>
zYZ^{mF$zSnMdg`_jrddeY|fX#roEod&L_b9Ojn}HVA4aa5Ko`VVqT@Drp7)=J}HwN
zE;KVzny#Y*mz#nZ^hoK`+tz#ydF=VSd!S%=k*^&DxjX^7Bmhl+OH=M=qis2M`UR8?
z!$z}AxYB5XI3$3@a|gID)0T8<#qCMfauQ(=F`bW7Q)3T%{qI)u4H@+bG|0Uw?|qRq
zg>(f1EZ!tVAkw)J!MF49sXIG)Sw9Z$JS(Czz!7OYUrp`Q0>RE55Rk+c9@hm$sMp<j
zdXENypRcwt9`mU_aKvu3Or;y#oaXvBy8B%y*CD9YN~>{gAK%iT*$Hga0E@lS;!*`z
zIiv_c6?V<bj>iRHnon03F;rv5-$9NCP`Be-WM3)G^*t6wJ}FJt*zNLH$zs|c0Ef0*
z?Ca`xiFu*@#X*y43faErB0&>Glw@*ne5GC#TWuIW>x2zKs@2802LL0cKK0<t1rTEG
zjx*U3_m$fF$N+LD%Q`sTj5ItwG-IaxS)jz&fP(axP&~<!HUSxW@YEJq_j>dT-|vr<
z{Ab@6!4B$ipQY|&O!KMAb-~+ndC@H}G{=S!Ow8zhK&$RPNYVUs5Co(Jex}N!qZjmD
z-D9lHJb+BB-&zw;OF$;R)m;pO$NJ@;9xLPiOj&8Bzp7>&IH^Nf)+n`K5SD51?g}Gk
z54IZ|ifLPwPhx%snHWM+6W-v`rWlR*Pt%J=`DO`8U^Lf9@WVHjg5YP3!<rmh90)j}
zzI-TGRA5Q^9_t)=B)`giG#|wD8^ndt&x>W!RjJ`|llIMvG%7kB-A^XXrf0VuaK1vU
zt!NjBff)X6jwr(%%lP-XR@s5R$K)MXo7!R)A}^s>w9w{q#sN9pvj(h&H}b3+wvHfy
z%`2V0p3i)na>4>}*_fG}OdJ}O(FX&vU@64(1IS7bTYqKK+VXOeV<sM*sCL6@ij}pO
znc+T&JmWI3@{mhJpf2N1fQd?LDpG1Oz9V*&@EfoGvjO(d;gR)sXYPelutJ%;CiBGB
z(p}yWLk~tZgKTo>41~{YXKDvc0w|56U$l&L?Z?j#72iWPd5}PCg}yb{a&)<?6P~Jc
zKvOiA={KinqI$<qqrx;<H|Rb|goEEUrh)aaH+GX0`a7BB;sVH~rwuw};@C2%bm((i
z{Ipd(QaV`7&q8G-sPN-b@7;PQk1@N68t)(PoZgQB1gfy3FlV&THV4#Ac6x1_d}5%6
zQovPTOEt?8&XWd3>Q4n;awsvcqrG^mp**?O50i>yQXQ<3jpK2>`^pQ$F>NaDU<MY*
zSoFnf_zjmdUzO+Oy}8Hdyiu8BOrk$T%<E*xrGG#}tbyfR3t`xd`Hr2$<B(&~UgZ+)
zrDKTgeaY+ibD+fgn65>PDi*Cq`{PdoY{u^Rl3^6=Cy5t2HMYdj-)LvlGVd)dEg_;l
z#K==VCsPPOBK2A;PS)zJA3u1nH+($9;Q-25sPL`7J$Vc%69=Zs*iP;0Ce=W>iS(A~
zoA4^Dal>*x5IU4a%jN#ux!K%9xRx4;y7fUxt_*UvtR(jgj!j5wBm8sc%o8Nfj$%of
z)PY{0jmoRWrX)hQvnLPREQlg_#An~x*Nv1UqfCc*c*qf?BZ-E!rj0r%ymKVMQ!6lj
ztzax}=*~qRjS$iERH1|n!va`0(am=@1c#ssG&Nvs3y77s2|WVf?qsI~?+sN@&P^%J
zlF7Hhcr<`{8=&j~1mlYpDS`Wxg@^O5EkL?05%98Z`GAN@^ycE@h$-!hYp82+0+U`}
zD30R@06=7{TgGBT7|(VZdQKhB!<iL_sL9+@)tGq>!mHiZqB!5hGC^Cq_I5!zQu_n=
z0`Fue=x9lWi^Y7BI|R7u_TZLv9#Y^HM-C(4*l4-EW`g%{*`0+&fC++Ca-}{;bU90a
zkj-cK(N9X$0Pa_km=;P?B=n-IFWu+5VXls`-Qd+0j#@3NlO|YM?5iJ6<1q9g$7=u-
zbB@yr;?lBDAW8aaXEe|h|L`%~JpY4kX`zjp#&%^rs6U2%{v7FOehU&>TJ&tQS9aLO
zuI5viOBe+#FX%#n)qPC;ko3v2AbE1%78huu;Zuh9F6n#}=foHOF>Q9ytVXfEI`wtl
z*Y4G~vXYYX@ZEiV)$9`o<2eBo0QI|>^dl__6a1&Sy#r+{GJWf!+2z)h<${R*z10bJ
zV4wTZf*K9q0;Ix}A_FM6QG4ES*-VN0!!;hR^}F=>scZBpeH0^o0GYT7-(-a!4U>mw
zMCiK*kfWaW*qcQRMN<Mbt8ugO^a4r$#ze8O@p%4o9#W{7Iph5ZSrK3vf|O`EoEouK
zl{OnvrjP;^n`sYo8;9=qq*wcH&T{%7RaINTX+1HJye?G{IuwYEt)1Mb^yTE>a4I?5
zu@Z~4aB5u7Cp@?!obp{-T95JeJ1x^i>%?QgrrjVyTco}Pz$VVb%OY_mpNrv)D_oii
zZRiK@?$^@sVx*3cXq{6+^E6ZCt#1@eKZV}JF+pBD2j_y;u7FAf9RjAH0a%;it-Ger
zR>1%V<5yrcZQhbl{O{ksxq*C>&q+nbWJ)u#am8fZ*P5@(fm{&POx?KMyO2N^Z!i&H
z%Xt9U07h$OMC&#}RUqiz#qSCRVR3pGj+W>Nek~0lw+WEERHbt;GMJN&TLL^EPYih_
znt1@7*sVDTSGKq}OJWc&rxzY7gbFkDKBpGbkcjAmp@FJ!8TMb0>5l+>lN}~)4%T<*
z<(}Zp{(ZUV?`qmF#Xy`TqHgwO`Nw5@<0tqHP}uZBFz1p|I^iLd>xZL~w)TwA%^``y
z+ebIOcHRMc*PvCf45#H}$_krW4i&NqOa~Oj{H*WTQ5Qx0B2}aiZ)8!+alMv+{nYhq
z%nRabR^Xh`$^Z@c<)@=T9LCR~kKJFR$(0lpd0lq+-H(3u^vDp}=Yfpr!$9P+OMo31
zEx$zu?Fr|aeQ3T)Pl4W?OP9dAi9wi$xgvoE|0oxrRWEY(uMUAUENocdz6xhW12EeF
z94u4)&nz&$&Y$RQAJ7W`CmJ!u14M=g`u(I{%9HxKWh$;DJ_m<IMl}DIKlMTcu+Y->
zBb6eEh~~_K`GKp3L`ilH+nigqs}DSw@&l?8@xU}e08uDOmB7n+35@F6xjuW#>z3O~
zL7-tBz<3%k_w%0OGqFL@`7beTJ#R7>0myLP^K4Ujy2-3$v86`E1+;tj`T#diK<PIB
zfVf7j&|w4>Mj9A#>HjqNPCTt3H#k)Dp31-C3NK&^_q%Ogj?zoWn<#Mb2pJ4gegb<c
z!64QYar~1~Zh3yJQWn~KML7U)Klg4HKpA#~;$5yz6M0)sS7Mck=+8E~0rb-Q)1=8X
z6)|Z|DbFi*PRqL)Jr-W$Nmh)r^C2kp?s~U~e*0ob^d`xT6}AW@un1Cn<$pXoMhE~b
zHaZn(Zd7MorOjVnKUnG3z;FbajPquszV2?V24{xt3irI2rdmd`a6;+Xv!-CS%mT^W
zL0Qsyru?6v`<NQS2&v^Fmj-EjvxD=c8-UlR{w@05y9mD>mzGQ7j}x1=O~<No0FX&W
zjT})5T`fn>D6JI+SPlTnI)oqcInzHHJUIdh#mCN50C4@=!b&%j_x?T9j^<9?Cf>64
zFG;``An(bu+hArYeT%Xfvmtsd!|^$Z()U5-BYOmhmN2M0JKCNeXMOf&k-ZDTvV?1P
zXyfms`%~RxgDW~JDk>#qgZ4{(s~vN~-Q$hXZWYl|)ar%#j{TWB2OY7KIQ@@-R-YR-
z3M={!;s>fz==OolQrabPdvkpYtlGM_js!nomfz)#rSp3%p;!95UckPu^ZnSEr+1~C
zj+gQ3JI%PR$2J(&AVIYs4n%!{zRKdJaJtg&%M_efXdHGC6ak%RB1e|6qJ<rET$}IF
ze#}aw&lP$7_!btw>z;lKu72}bKp}jm(_Bz$gld>UM&gLwM6|d`z+J26Ua#9^f0a;_
zaRxECaVe<?yAl4f@hDz$M)?gkdfME==N<I${6Dr5qU4Yo+g7NfzCFW=MJlI*-?a~U
zxY0Pn75?}XBqxu1OYG4%67QO~e^IY6Mbpa$5nj|XfXGem`{D-FBoa4x2fD`Ri^0Q!
zinSpr!X3!mw{P^oNVdFa8l{{ofY56<UYu^1jim3$ie7ME@Tye$QR?^F3QM$7rkaVK
zvPj&ycKV%;7X6XD7lH04qh*cq3+bnzV1nO#AXDhl+H3DKVza5iJyk1ThPN2liY<@*
z-|kzw-7_<OYHw0R)b(z!Zc=P|Y}H1KFfol5o@gmjqEarSiMjNGl`pIbpxSCED#i>`
zSj{d?GjZ!7d8!zQF`t7RB}Hl1(3^^!b6$_7a4u$UY*dxay^p`J0LlUKXy4F54h$}H
zmb~J@n<&Oe{)0Cq7aaj9%(0(EqF~c{j;vZiQ6#zQ;sN^e<0g3_$i(HTBsr>}ALzmB
zPvePo*74bW)7w2~n5BDn11khJt8P4@2x$q7$w-s-mwYfhuXlT)c1S(p{S>+(dCn0B
z$2-=J>{744AS~#1VBC_U!`2I`@31Upj${3Umx1rXisP>>{Th}APifw$4>BAn6(e1Q
zzAZm7`Qh-g=!>C8;%>C(31}B4PYMWjo=sB=b+&#oRrkq!d^Jw*itT-J#&|6z(fj&h
z8t7gS+omHk0<&q_+w^IzI2vEKaI4wna^0}6nYAK^LF2n9)4;z?(xH~;-)~2`rys{K
zSCmA#=V#de8s>-q2jO(3CkgpLxOr20Y~(1_f-u@8UJTO&8Hho{`xH4zsEoB)i%LMA
zp3>Y$?{CIt^Q5VF_&gSlKO8Er|0HkqupKY3W$T(pN#Jd^lXsO$<*>p<A!~Pj!y#h9
zfV)w;hCe)0ZIk+PE%Y^wRm2LV!rl+<+>0WI6ZzN(5)C?m_x7V%ZIj8!Hf=;<xs7cO
z<Nf_l&*mvoH7dQlj*#c&!uhHS=klLh#-{nFF<f$$%r$uX$h|a{B360k+Y*kXtZ9me
zYIZ3OcX^%Spi2JK=f-n{NzkKb4n#*N<u%R@0o<=)Dn~)^8)<i7BO-7yl*X8YkWRH8
zF6!=7RVdm6R}mXFwL<mJW2l8M2?f0ydzHy(fio(xVl(>T-{6}+W)uRtxP(cSB@X@N
zkl`D<S%KrV`|<D4iEIwzL5cl3&HCCAcdnOv=ituNyC}V++mlnf+ggY7L79(VB;eM}
z(%zo)t%v!F9j<<SKiom1kU^!7^Es<+Ck2c>*8_oxThO-2p<|TZd~>nM!jV{m_eH+^
z)x&<XwX<&q;|LmF=`vXy4DdunE~<zB#?6q#g$TGGrYAA+rDa&*Qy3prT9}co1+1Z)
z?UeCU1z%CTH|hFPWc6y+J*ieBxZ<RP%QoKgb9j|J|MVEmOf{p+1>4>37TT$n2Gth^
zp2M8a@AT!dz4G+D?yN=+5wQ~xr3tC66#r(XlX$v5?RJ=pcU9|~*4}r$8PU>B;Ob!3
zq+DrcRpjrvw!$;~F7sZj(&b1fmZqb9!dUImULSebg-)HrN?!n<=7?4FV4jGg@DQaJ
zliNWkwezDHjV06NYk2JYub=69?spWw-<edpYE85NcrI6<fmJbfUQrJCEzAj5rIF&v
zx-W{o0qn@lso<jZ%eRXiyiYBLDD+zRwI<{Bl@L0OSVNM;7C}*zL%m*dZ$jyvIS?_(
zA$VNX$GwEA#>X2D0e-{_du)!o|2UL>Z!w|}ijk`Fnse+gFGQGb%ElJj&hME`gy0rx
zrXAN<^;l@9$Bht@uvrA!4kj3~#XXI2zyH*}i-*%zb#RR1^|izZFPZOQqW8P!pF}kA
zY&2B%wyAlPNbL3^<rh<l(C#Yp2a%^#>v#A!;>X(Hxutsd=$*X?pvEKYO*@=bdQJEC
zb=l$9+b!aoWTG#s<BstBUXzz0`^a<FngIO<h3%7b_*A5zH$PUMRfR3zxD*_po%h3`
zGlZp984>Dq$C!dTF!(vfC`+sEZCY+99+Rn_<STWHFAMaB-_(<>dee?|*1^z$WiTF2
z0?5*M%g$6)K>_<2jj0WJw@nq8D>6|j3#M%Z3=FKs4NAdju@1%o6EdgaQ(d56D=2!f
z)P*l6yaZS?ctN;Uqwc#+r#&tRbCjT#4plnU@<R^Bd_hXmLc7krOW$)977)-&p$rPf
zrB``a!fyY1P;BM(Ypdq&%Vm}E5%k^J7_K#r*yMq}+efZ(t3GUOW>c}M*C`kK5``tN
z2@_0yc!VfjPwAQq9`+q>UOSn3YKo*<V9Om_v9j>3$$4b$;Iz~@`BN-vIiV|Bz8x#n
z6w5ODHg(2Ir{?o|>uO64kHkTVb4#aRYQFxt(|$zp&AzBtB>hasK}ar(!AGRo^&>`3
z%duJ##0B5<gdrFnB*0~?8pUPQe$x@J_pA@W<`dn*k%(zW2@PfJ$41cX%#_Q%Sh!R_
zqik<-v&z*{rsY&h`FPAaOPr6~+!GALSSA8fKMK(}#}V|@wk-8>IY64n9<5%3z|slh
z>}Pf)80I434%`45CAdTX*j<G2QdhR`Dao)1Bx8&l0Io!KlH|CFk%DWm7dxfd9R$M*
zRA-&B?b@vAF&8~w3bHZH+jupvBj<k;mx9$ECR>y4!@`Q4i87E0|9l}~0)TE{coO3(
zaaOR*BFHdPO@%k8_3DAAU_V}HRkP`=1B=|?N1Tl@=|@i&>}{QQj)s0HM0ZU_{zy7$
z$WG8TQ$qeB*Luj~vKm_T>VEPS<b;xu$MU{FL#dbi$&<d+<CrE2i}|0m;tV|&PxkBI
zd0xGw&0wi_bvyhTBR?I-h5b`^gvn^yIdg*a6L}+af^-Rlehu_cPbMyxW930q#dewt
z;tC4gCiL$#P3Tlx<Kty1m(;Bim<6tZz{{ZA?rf8d)ibPzt~z@DU+0zNpK^Sq>?8YP
zIGJH)`hzvra_B=yQEW=eTR2lf;kDufQ*qCaU;s<!*k2l1m~0P(itT0_lk-7wp3%KA
z((ye-jDCFDOp9JBt{m3KXXmziO;PhGNb6v(PRD~u$qEz3)O{N%9*#t~m}5}#MIC{J
z_<|R9@7HF9K$8jV46Xz;VRjA}m%>uNjF<0K?7zE+@c|D<12WW#D;7qLHASL!T94=(
zb=xuGPtwfHUV1V1NP_?e_pv1=rQV)Thn0II()`d>y~QUke$PD;>|P7cP*kkf(_^?c
zT4t}#WG;Ihst_X|V<t|Ku7xAYdJDYFy(X>-)=qNoK75HBBF4wL+Rt>{!=F|+K2pSY
zQbU2hX3Tfj{y>b2`WRh>)}Cj`Wi^=OAd)>J&0Ps$TrN+iM6OBoSSx*Y1vMxoKDEj-
z*kAt{*%cz4(d1%u3B$?6Ax`U2S0ZME@P%^^-f+NuT*0BO3;@HkTx!6S@fbzlN_cNO
ztC455VQBY$DRBET&<GznHOyDNawAl`CXfP7T+l2x8XqcD{j$u_Vqe;k><JXFwL6iC
z3;wYy)6WO3&k#N*I988X6SjT|d~1Sr4>`+gYg)~6?=#ap%;-<OuC^L4W_6HIp7ugN
z)>aAnuv<0M+AL$pO#NOZw;pfyYy0H$uPF0p3B)p{PlSfNFFl7^*`)8<|EN4ekgdzt
z?-2H|(bg29uUxG>u}IW__jJAO`$9~JokD!QQ|hG9@&P}{hN2O9neq0W`_=v^W%GbI
zs>cAS413|T?TF?g@9k+dHV3x0P~jpCi0iXhT`+&8_w#1>Y2E4rM2i;4!xjqq*01BC
zjP*ZPQ|)fn<$b;v3u}XB7xxq?85v`*WE*Bl|M9L9K6I^)+LuerG=zk#Y6b~szzXh%
z=+NVPH^rsvj&aMs4AFzPwk9k#;4X2(S!cHd*)56Qq7hND=e~JCjS`}J+CZ>OiTaoj
zE+w=f+%a6ArY={VL1?t?3c@UREPh82gx0)UitdE(tO?%o$mw}@rLHs+^Ep?-qQVE4
zO^@=Ptsp)oMI(YnycK>NHF3B+MV%(r8>a`*J!L=H71L_FDZ_PfSzsqd=^tRH)VOd;
zbATn$wNs8&ua{D*BUq1=*h~f>EG)M#r(LBje=uhI>JY(q+Hp5l<FR#Dq3A>8Qf}PM
zCnYbDQA}{Z6J!`yoZ&h!Ca6G*3cA3wt3~Upij3>9pVT9_fKUUiu1eVYuTx+_TNViJ
ztHd^T+m<D3NLLfUn#jyMe|6Qt<h?);usQO^d8C}}HiY`!JXb1PSB?nL`=Sz2S&DgY
zd#gnvc2mqZ-0;nJO1JifN5TTb*THmWLkSZdmF+oOtq-D(*sXQGT;zo&7r=N+qVYg2
ze+VmqMDZE}y&wFVpfrFbF%3+)IMKY+UhjBoqIe$2Zoh)x`Rbk%Q%kRmpqrz`h`EDi
zrOV|D`l?Otp^uuyl~c{>5}}RJ8zXfNAc@q-lAx)S(A*}O@{wb6tnjilqD?Z>uk4P8
zvFi&?R7WFc=l$-x(4yoN<o7+RB2X7?VEU~p1?E|ec|PB7#mG1ZK}S#oWnIwyuE|=!
zxc$&1QD-$@Z$XK_5`+}0LG&s8Q9$qnvliFBiInvQ@Z*Dq$g!#Y@pNb2E32mejuTI2
zL#_F}dRqF%vpTPXo{c-cFaIBbW)-jdtV3*59Q4)UsGG|--bEY5ZPNlLv%!ztk^0??
z5Z|#FA$%UaI2Ei9EA82Fy|g`IV^TPisy+@GHXU*=GfWPoe2hkf8&)<c>A94xh0lZB
z&P8`)Ws2V5nW(hJ`6VsoZrjJ>{8Pa|Urstdn;OYEHu3NSee<8h8hmHtdA8ZjMHdIM
zm}+!8_C;;Z6H?0W;Ak-y-g?CgQC~e3<sG8B=@*B~a9s=$jTMFyyxgh)(Vb(bhn%)j
z>e?i(^YExGqTZbEI;qp_g&*qW=$rl=&b>dBGSQdhkPct04KO>Y{PFfRv_JaEo#Rl$
z6CuexSeAy9_$)i}fd3hsLt41zGAc=Lmh2*>yWyL7!uHU6)M^1cRYo6}rgdb;TSZfs
zxdJg;Wuo9715d^$tweIG@S18XpPDRsUR!^YG|WabWDg72?o9GkokNEA-oNox_o(Se
z6t!SfKZ)<9UMO7cVdB#%mz+?go2nbk5qaLjjRoJWERIaB%>TqI-C@!rj~i7zy`A?{
zl~Tn)d72nVP{8TQ2foa~O!IT|u%cjm`Sd<9Z@WL!7(zwFDM<Xaa##T80wC(UN9}Y*
z5O>RyR?uN>x_Vh%Y?#gQdOOrcDU6QmxDc10+=9STa1VNA<5%k`(N;6(BVulQ()@Q`
zyl1^Z-p!!eGkvZ@y{L@VZld%(peo2pHq3d)gN~U0a>emvt<t^Q)6&<&JyfmiHDLI`
zO?8U1Y+>QN7X~J#9m&R?%P>B?6}WPp(?cc&NnQCK(Rb|exqV)iM6=#W;khCdwD-Ie
z$B!lup}aIXL?CmX5O?hav%zG&aVOH|Lz3CdQcxPLT*fNz7s+x<#}`w;Tg*#A!s5H{
z;}NqBw}~|#QFI+w2$W4D8;{b`EV5k+`bajd&jnZ9Cvsnb_i)o*Qk4@a>%C8jnW)TH
z{Ia{Pp(f>f-L4?<T)7c&G^}Nb636oT_E@jvdSB`Fr+6aY%+x<it@4mk^H1Wbwozz&
z(d(CXN3rES|KpYXwr*8UL}B~`k088S?e5Dlu36WBcHlh82@u}Ra2nHqA_Dxt<dF->
z%M<@`mX{yCnc*{EZt~L26LusTnc&VC9$$l**zIG@lG@dpLcNRb+go2ggcwQrlZo4+
zcJx0zC87&1dsLx<wNI1EWhZynda5$$VnvK?p(G?=dphn_RuC}tMrNdBKP*BqD2R$T
zF$-3P3ZUMk;_SN;7AUdlUep^8sOjOIjupw}$n(4zNILg|qg|$kQ{r3wl21wdSPrxO
zs43obCseTdm4qE9{Y=@iF(+Q%&Nd-);0<r<>y9sG_B*hg7di<>x!<a7PX1ZBoLJ|P
zGX&9_tx?}?zmM@`!lzAWD5NQP%qP>ag-og4w6UuHVFuUIU56B|%aukqyD?h&JQZd0
z64_+?NVEtOHWB$!L8Ti^_?|pgJDRHQ$G))$={OngBW~?Ay)FD_q|ZtlEe=dt<_Zwy
z%u~i3&m&AKRQsl4n-HJ!S1y&x$?~#Ak2a`X%1Q9VQ?y1VgHF&%arMsEJaHLZ*0EN^
zGt6s?a$(xbn_<jq)#YrU`|>R;o35^XzDh=)Q1Pbnn$ck;(d|1QmA5&AX5||{gKn|Y
zS>T{;junA%<3k{O{_Q2ot1Ph;p)pQxitWRqw^yse!fr1z;=d(*%9YQM>jp9F3o!U_
zeuk*FXFpF^mI7Aex0}+rB?h^A+O(3O6*hPlE%E5_tCI62TNRW5PCA|@?u%BVlnQsb
z`7f3XpAj$fm%7xf5)C$bT(a*%tmjK`4B6@5(dp_Rdi7sg%+~6?`bKH0T`aNrAyy7$
z*mbn$1!QHYwQ&&XQRs?!gOu1^zpOhAA{i3j&l*sgF9UzXOEG<8noa3=w3XJLAbC;=
z38`265ifWvlAFaDPSiJ*dU(>J*!csqQPwVBuT$Hx_G`P_&TJv#Eegs#tVQfFKQFVf
zzPfkkK`0S5s{mKOM^U#qz!m$nOYmlpz}js+(uF-?2=riJe;UNk_#%TlM=46B=bRJ`
zOSFG){K~fDloSevq;SZ5Cu%(Th<77EuIHB812=&aqT>nbxu2u<fqD!^;UA5L;)`TI
z-1ycVdzUnin9I*|Qf;$nX6kyAUPb|P@78+Fob?z#9;QtWsx1{CW6ocHL=K-X?9F(U
zO?MXSwcmlq7b=NZv-c~%Rbc46J1Z+{zErxQOf#{sZeU3CR-3`&@WFBDWtl{0XN-PY
znXGXk%6*H|VjYX)jWV(K6?bRJ%uGx<ZHL;E@r&7+T5LwpbTjThWcKA&XYZr_JcNXz
zXe!b8+#q?F*yX{kw}}yQ3nZzCio&;>LZb`?@BwF2Sgix%cP8FTc(qxuWoFxZ{qx*t
zRf~^jWy515%_X4Q>LQ7E^+Vr_j2>=@sRvZ1M^X)k$6H;tuNdIuwgjGhGDGv`OVEny
z)|C+9Ma3UjJ-hgJj4iFoXSQNmG~Hl(QGV)xB4q@B@%dw+6m~1)ceO~3yFtj~7PvV!
zj#MQs8lpjKdmyk4hF0poGw|Lhy@p5c99hVH5W^b9$D-H#5MiLx8r$5P{ygRNi}|Z^
zR;ADN`dFe9i`_?YN^&f@)*(kAmOMa{pUSedaHaU|bG;t+i5p1PeAV9?wWjI$d~XG$
z3&uJJTYXT%!&`Mr_2K8b!L&>hH|DH**>5ibyesetE>K?s?eio~nR*Iok1G)`)>IWb
zu=}H-CjGGwU9X;juy2~r%{eCtTAPQcT*%FBf!_7^)ds99F;2d*JqsxFu?_J}<6`B~
z%;RskG?*yxh6-xpaQ$E;$my(CVoAN;k5{4F5vRlVZ@2BXPVG<X*3gLsW>$mg_QBlg
zi9}NV7oK%k^u6@=%%mxFYtOvrE}eTFOjtqZZlnm_jSjzl*vy!A?cPtuY)+*RdswUt
z?;F90+{W?kyxtx>muLPNwf9d6ZK);@SdmUXO8kP>jl#uP5+9c~a8nz|sk4L?s~!HK
zrJ_H+&Ek7}%UXtAbML38_KrhJbGXH~@9hus+jumPd)Z)-fbz1^rhz47fBt?gzDOUM
z=b*rj&}`Lsr+dGxYpEhHq^<1}+Hq*1iG;g#QL|Djl_v;c9DEcvmT1n6ittP>Z%mLy
zQMdO1Eok8+f&yO!?yBpZKQlS4T${%DyfuBVc*Hm>c3++fI-dC~095L%veHznlNNWo
zKEt-R0$pKY@W<VY<k-G<iu&Za4<Aid%Ij6O85k-V)#&dNT;OYQ@o^^0rsjRKvdZ$g
zi?!D*q9P~z80ajeow!bXImlJj%5JtrbW61yJW*aMK&*qs#N!TTS>C`^Q!RoT)ECKI
zi6{Me7Rl-w9FlMqOD{-CF~5~8yN)Gn<#dl9j!QUOo8o@>_V}5_#9d|roDeJZ_nP5K
zxT#OdogOFiQ-C}Z*_e*f<FC|IR^B3{sXS4`^z!AYa;XLCOM!d=lZ9lGe6;z@;37xK
z9)8UTdFeF#CPak@w*V!g_5&|H!m1ulCGk1c{_DP3m!l57WyA+M<nyU_4ZcMZ@iE9W
z(8p2k;b@Ue%9#1@Qi&dbp2R*{<`E{bM#D}H0y9c~>FD*styHR<Bc8RifaeKJ+=WG=
z7AGp*NEWImhVMH@>kQh0n!~vrFq*D}jbvH7lfFsdEP2W1Z9Jkx^oovTVz*Km80xF(
zNBSWxjow@}*c$lEq!;rJtYYMYcY0tp6^May)F@(yFvCAU`rhtZ!}?&!IFt`fpuaB~
z(**vr(kjWzHA+mG>F_sX+z4jl@kH{V3cy>v{{P|XEugyEy6<m5L|PgIq(i#9yFnVH
zySqCjq*EG1K)OpB>6DP}4hiXo|K`SXfA2d6_l|LuJK%iJ+54=$)|{W22-EJ|ZCr05
zo$2$Dd;}}(?lS2Ewe>HW`)>DCLoBwnxsN+7RyOf9RxS1Jc2S`$6EmCXTT-q+=@O)N
zk#)UR?7NUgt&)%#zz6r&L>w3qNc?XSyST`H(fam`;;*nKYpgT!oOw(QtqsG)Q}m0)
zDk*n27^k{qV3rzhwX&d=amnt1zW;vdHpfU^N;TJgGBt}OY`4USEGsH%7%e1w{hA%k
zF~SJraG)&KmlWmc1e~}aJ(S#c)gn=I%XjC$&DyZ9j^>PrQ&?{j=Z7oF-j}i0!q{ax
z5VMS&Cj5Bp7o0xz#ZAI1lqj7%us2s1Jn_tWptR3xfShvAw<-4lelj`jSV1|e_EYGw
z4h@`2NtHG#FvI;vc#47w`lP6x<?>%aEsb?hs-YB^%|eWYLQRq2uf;i&!m2c<@nr2o
z4mdY$s+5QX2Mr9TK71AT(}+w7HgL~VRPR+eAKvOe7u7S>II}6}1H`(pG@q^IwED<m
zwLtr@HZ{1^m<y|<OcvSmnxp+D%Hj>CT(GQ`ayT^!5t6o;{#5Bd>L!)fU;wqhR;rtu
z4Iu;zBD}*ZJ9Q<jeaPsuP3LJ@dWnY1PfRV4Xk<(M!+q%q($~T%vk&krlkiWwIF$@#
za%IY{c$hCJ1#ZG?eD16N+^tU<SLb|wPvZWH^Y`re?)X;^ca4u?i89)78Um3vbBVeh
zTS*$EV4_UoBprv;Xu_aQasZtd&=swM^pCt%unskrQ2klBO+YT_EF}Ci*NG~)lGk9f
zusys2!q>_+I0B4{m!^}<e`-9<#*h9Yb0tBG$WIp)AlXGt)z}YfF`3D~wt1hbDntab
zrEQm*8T9Ih=Qz1Gd7P*dOkIvZQkh%x`R6iN4@|?la+^2JM__6uE0=Hv;wjPBQq$Ug
z2Qbib$+88061d&{N+H(~4-95etR-dc`NGytWLLn@D9?*F!>>@##@{8`f%E5v2DRUr
zu($2k|1`&fIAEj^idv9X90$!$%jF#^k0^+|a?k99LR`9k4<wkfa`nnTn5`!cRzXY+
z#WrInrXm$(=+qyL?O7E_C`zO^>u4RD!5<NGuR325lC9?1Af*d%H8L&Wn+0N%bjznR
zn|uPZp|2oLK8vzjoh}_7KqN?)3znDyb>58dqd+&c98?btdm7;v&+P?RQot0{@Z@*N
zfGI``?^N1<xBk1J`fIZbG#Y4oJMm<ViwI_q)qq#l{rIj$oq}c>`W2++$#Wm5)OOvC
zvU)C;&z*U&CN^g$2gwM$4wydQJ}j&}VtEt7Ms@)6Zt)>Tge}np$XPsISJUq@0WR+3
z%85(iddo_gj~@54P;nCD$<&Hs(3=Q4|M&TO3w#SD(PbYl=^=l-Mcr6FqCp=NtQwso
z&lK86m&Nfqo>UN!dwU5j{;>XSztnG#>f5td{P_rxiUTv3HmZp$w|DEZ?`Ans<niIG
zNs5Z6y55ef(qw7b<zO29gbS<Unr|!d3Md;RgKLkAS3e=ebKq)Rta$9ar8ldhr#~4<
z=Xkx0!60!2M5~~Oxdmb)yK5teIo>}2x=FQM?wnp)m{s}P81qoo?p@s)7=VTEtcG|+
z@@Cn4E}&~jx$GY$x}Yjh#g<$Cuw01%j$|<Ql>9E<tL83>1MeK}#B%}K{kUv_dNe~k
z3w2gIUT{!2nUP)lz*>0_-`AF8Wj>nY8WiG2pvd#(GVbJxq{{PZpQ8;ddd6c()9y#F
zA2~vVa@nK%az_|@_E9f3=&CA)DSoCHznF8>St4%NB#(YbPFib2@IU-I1+-*XSL=Em
z(P2PJa*lb}qTm6H$Bb03aaqGG%XOVUxIjn3)LT84l#|xc{<|l=2gHYtB(p*+!$61#
z7SwXtDJouE4qINQZCPd=rO??H=xy?SRU%fL+uq1GK|#(r@NC@e7M7EWIubAT1xEug
zdHf<HB915WWF9teGjZLxcN(2mZXZX&e$tb()!98gBJBL!NpN=W3*s&l4Dyjd_9EuK
z?8UR&{PkuO-tG|8;IEhts|hDSo7#k}#zro@m_nb`UiB*X@_!}-YA`EqJVl%mmPHW^
z<;)LDWx-{L9YjjBGY~7eH3{T-eRQvXbH07?VOX1sw1H?w_GS=rgPZ**3@th)f`MDx
zm`jw};WU;QR-d1g&42Y_J+EU;i!$t%Ey;oYPpdT7lpq9>wTPd(h}-^OPN3&;WR4-I
z*=c&^)WiLO?f&|=o|l;{0y~{O5{xn<K&2TTdb;c%{+v6eE_<A0w^_*by(xVxpE9aN
zV_ZHS=jIuafu<HGBIPpzGDghide3sh;Hk+tPv9u|0}Hg4F^jNBBGA+_IWFn!NjACE
z6?T(38kVLzCSF1hY2jI3oiA0njOytAx<~Izbh<7Husb5(Ur7N4Zvm`1US3MmQd%jj
z3I}BJW4+aEbbfp52duu%54%Qh%8wwqZduZIxtSAz{2n+_U|9kp&ka4^U}JBac1>h(
z0E1^y&j->2rjv*11GZ)-L!0$9yB=6z*I}}4k_H!U4K)xxz>#@Nqjh{&w&GWPi|$n%
z{MXhY_zT^9<y}{e?wF}jn?YuX*n>{k5uEMNFwc&_5XS+{veEj%5z>>B#m;V4g{iv7
zv$`zn%LnjF{84~7JML@=5);cOuJEkeWvd(!d{RyN+rNjB4-K@D`*W#Chwm<a&!wa9
zcj#&~P8RCXyW8Eg9XFVSdgkx<P=o!#=wj4rndJQiw5#!<yZxxZEK<rJ^>4<A7E?J>
zntZ+1^X(Q|+x5lA+I;^QgaRSN^_{mD*_?QpaQldGl7`!n33R3C7aYtliys86e?A)Y
zeaQ&SrI*`xwTfSC)m(Clu~OmbjM+PS|Hz~zW4wjsX+kl@6Af&FQ{)l`2E=&i&fr)*
z{8p;i&7WXj4r*3}Lqr5MppYz9J*C0B@3iby{j&SMoNT3t=PS6?!j|#0zupbdB>K(;
z;~k|fY;Ao3)an*(hdTQW(p>7LC%Ijrgm>NxF9_|Z-f>%NX|(cO1rbL4eB^f<TKQ?~
zCoS%yWsJ6Q%i**A`>n^vp3mpzYFFK^7Ul4YeuHSc&mwy8TDt<Rs{>;=XJ+5~YmlKg
zk55hu9<m5wxMvL^ncyF@N5L8=M^9-_OxLdke=jRusSe9k*kZkoF&?Y<lfhp4Ln(PC
zzQXLb@22~&y<QLt!s&5(^!PFS<}J1oG0Pm4i~oGzblg02$u1>@KUYWG&YF>56$?(w
z&1NHMJ+d)0T-DXp{Gc^CJUk5e9=<@C41PH;TETZS_~ZcT1T=qw(845RO+vq4aJ^!7
zVzIGt9Cn*XexYSufcAHJR3!p|G~CWr65;cO<3LMqWP$XH*W5{1;jj3%W$(>xyJ5%T
z6>d0(poM%F8zr}{$HfW`<HI2;S8M)Orx%Ym(d`CH-6b%r7b7uo8DJP_I1o?Hv1s1~
zrrov$+V9{0854Oem&&~LaJ2$tD!(TuO}sd_HDe+8VM67>il<i4*Iz&%J#aOZ7aDyv
z^zEtftndEEeLd1b*36mr<mtXn3C+sK=ZE>(-t`4Kk_x!-_?tpo4R^js2&`N#O&|Q|
z3gyY8)LZ0f)y;&KA1P%xT55C&n$J@#&aPna>0D}4%tY|SiYU4Nk=xfkYkM<0NMWYn
z+PV3WXQzy((n62GceD)m7k`=21I-<WO>(j^gJvbwP=VAUSM^Aq(1_e<Kt^Eu$Xt{A
z@6K-wM=2<Jma96ARKF)(Bvxt`tR$Q*$C^z(@v(*PY#;X{wy-x^SWaL*q&L#vI3ET)
z(a+aex{Z#O-uF_4(~1!+G@QWtoi4Z-Tx3@-KFf!kFVj;}!j8ls5^g}l4`2&=HH&MZ
zE3?4$1~8)c4+yBdS9#A-bo8;+FL1%hK+(WZ_#_*5f<=9lGuDe}_@RjFA2B&fz#uBo
z?yp_5<gMh=y!?DZw{7n~8~kPoLGuM~An)gHhwsen*u`4YX6P_G#6pjG;-%usWIYeF
zGHSAP+IHRt*w{R@wJ=PZ@wMykc+I$itucB)z`j&at}Ijk_l$yki<`5SmnE8>b-&}K
zxeOi|<u&}O1ph+QmS9`ihIGzzmPYhz4&I9?WGx#j)5rM3&}H4GohKxlo94+63*HQr
z8ZRPu-U_tt|Dqy4*cw+mn<euvdDGa09<WPUX}o~;Lpy5Ef!+3J_(^!7o~!VDR^3Cy
zMK;4yJ?rgG#hZVt)hH4{B9rNr4;Og7RmVIk_B}K-nfo*B(ZwyB?KI1oW35t_Rc~?Z
z%(O(;)s<&Pw45MxJf+3?5;JNFizibe!1vBA32fWSRitxT*cVyMYpR&y(lvpjo8T01
z2QO8d3<>6A_CEp4#a<l3-NkS9fT6E<XmG0_;yexLx<fk3gPJKA+ym5O<doAXdMOY4
z=cDB~nMD*U{$5SGB>#x%B`lE`$u@%y?>O(zCd+7Cw`T9hb?}_+K3tWNd$Aw=tVzX`
z(SEwb4OCCHT3{`FnCu*BVlDUjSt@tnB1$3Vmr=E+hwV(nmnXs(*>EQ_eVcY`M?crq
zu6B_?fxlwC=uaU|nNGsb#IL~F=Dc+Ld*zVd{lHYRK256DM&nzw5kmf<=FMF6tp&(8
zM_z95vsWp2%u~Pp$T#`f_UGdnWj?B`@6(#Nu#E{Tb%Q1w2gemaCpaSwXH`3(GL;-y
zd_+G8sCD_R_Ujm3fmeu>77>^c96oAAOe2v0?GhnD@qlXaG^SbYj}amLdwu?afXq7v
z+kOexWl|=`Lt6P<l#~~dCM^ZiO4Z}#^>k4}pX)Z}Wh11V!u8BmdD<5D$SA|T@x{1{
z0z>5CVzb!EzBXdh=hl`9){Bd{a?P+IdWo6#y6rG*R}1w<`jw{>(@Vi73&|m^kh<y@
zoMp-{9#bb%OD+i!i>Ins77%Jq;eUGh-o)GF^T3dIPZ?TN(LI>=@HfAjOkKj|KS@~6
z9bdv7)%fnWwjES}I}}4h<bNV%3pA#_ZGH*|AxJTBHa30A<=sFfde|lbAOO#rYC!2J
zb*w`nO(OR<+7!1+`_Ih??C8*bm!te0rew@77rw3ap?Q^ZnaDBhe|Da%9UO#)GS_61
zQrW4UKPi1hZ~MJ_XU@67RpIC{BM@ew$0u`zrB$pokB5Kp`Y^6vs{lFM`s}WOORL%u
z;fZsw6=!xDj=U4O3w=eyW{TnS{o%o7R}8F$eEXbIv7?lmRlGHfY?IT5F$gcP;c{0z
zc1%}waCH4xoICf20DuoVmYeNX_zybX*|@@#t5+<?5{vv;kin=`o1^4`M=^*0?<$C(
zR3$o!^_s%2!G)wvbX>Zk=X&&YejQ4*SE(0ElBMM~WX^w!h4b3iIeY~M+irkhx~h!|
zcd>jqQmSu6%WF02*i}KR?I&i_&5E9Fd!E9EF1e|3yIfML$B@@=vkGp@#5M~_1jMCF
zYTg-~NWO<1vxRFj1)Cq5eWsqoOy*-mBm!n;W(?Ym_CRdzv@_ZRdq30u=mP3~U7Rep
zULweYOs_9-|Cx{lYf<fs^%O>skV<U=zLVZLMi=YJC;Wj!o~)YuQWC@({&H5;(=zn-
z{%&YaY%=-qVX{<i6k=4*X1KT#!q<E``7_pGwNF*s)#X}Wu(K&T!spHUq)fOKNFJFN
z`E%)4fR}=(GN{(NldaceV4TBEy!|aNFT-=c2pB(30i8sxRO4A31gDS94gNuSHmm>d
zmkW*pxQ39j@0IM`e_0A(trFNOs-`bum~M`Ecm3ilUs6n$^e_cv_VHMkjZSNyWZNh@
z8uH%3aTKS!-^9J_!k}BwZE~GaLtr|YcWWlRZe)$c{G2gMf0(^vf@5a4AS|sU+;`4x
zb(tuB_~Y<q^YX&FNUqk#9g!)WkT(Fr7g(QOOcBGXH9}YJkq{Gq@q2oNT?L}*SNp7{
zXW$9GoVHs3@7}+!gJyi1fRvFY{e5%b79aVkQX_cV5)_+uA8`gs6L40lb<xt%Qg6z+
z&}z9@8VY5h*pr#@sBYAbR;Z^^Jx1W<yx19#12K2q-Iu3pxld*gt&=-OTO^{zU1Dru
zWp#byvZJGaAzkZv7tg5=V7XaphlXj(E^g0u`%f3CLAcqZ-CsG)FXT#7gh{ix9?SwG
zbQ(L~ez?v+^ud<3uoO3wqT^2zD!H(*^sv$Y9ZW#k@I$gAX#ewEs$vzTawLNO`&v7d
zKKRuq+S$%55epYI-^Xd(_MZ@IrPll(97c{Znxswy&eXq)cru^59Dfm3&W1VW{(3kT
zeKFR6!2Z_zda_I>oot1#nzeAMy?s`^*37c4+MT1B{Ot^HzQ+gf5j>pLl-2V9WWf#w
z#ugzQj?Sk0kA4o@;el`mDRM2shsLw9;2Aaa$H97*db<QJtLSoQd8to?Q+2GcEKt``
z$5$z7#|$f19ewG27j{4BrM+Hb-e09>9yFY<o9J|yq{H(CNL>QKxXJE?NX2*HwE@TE
zE1>1}kOG+*fW9UbeV?7FA^QPp_Sr504od%i{Sfqj@a-CtR%Ks%Kvmm1kXhhAZWPzE
z?PsRc^biZkRZWFI#3dkolJ_3=GpA9$xkN3q^QdsvTH4}qqW3c~u~hP2TkGO_+2iQE
zJ@^o`P>?y*it2b?{w95xe8q0)aVyb<;_$Xqk8-WLEr0Fv@vZrWAJ&1h>gxGu4Esq;
zHy0l+znhd9n$rw{ec3^)pKH~GD}j~o4B?0Z@>*uLUghM`r~9#%vU{0|^v0d{d%|1K
zweCFIQe>@bJxbAe2ojzx@SFfm$g`FNkWOXf<xR;X*MSDW9Q;=v=F9o3>1(EkJ2j<$
z9fE%^Hb5%RbA3Sa$pD6tU8f@Z5i14rkS&((p-|_-8O9r&hD{=DT_0~2^_-%h8!_>R
zw30_Hv?R;-3$=LimPhv9my={#$MUITWxfL;Qof&js*yJnKV<nxFTRoOE7XJ6aJ;{5
zEVqe4`UrMk%w*f2x|?Abhqfj2Kj*Fr!Tss3@CBMVi6~r`=eo^hN)=njdHi6m=FJdr
ze7u7^@KPZ2_ep&REZaGWg5sVb-!$B9c(Ve(cK)+f0IPU+Uk{(REe!mm$IUGNV?&e4
zPu(99Q#4hd({8Ut!NWL`^pHL~<nXC}PcL)+bd+VDRm!0`lU+vU_HOP_ucdTWQpU&o
zi$G)ft2<&YE%qo@Ik}cbx7$c5zS1X_n`^oSdg|1UuDLnkq1!sW_Tt}T$VY$Fch72?
z*fOrpvie=j9{LNEm6e}oZy=SW)#q+~Yf!^yrd&rRS0S7K**iqvdOp#Q{4>3^Ia|yw
zTInm0=Z3)sxFRih?N4!Tgu}ji2DSXvW*wKy@v3RcUK&G}*uC&_np8$(f(13B`$hAT
zuUXXOsk+T1mK|3=jF{-B{RQT!cgvxpBY(7>p5$#$YC1<4Gi>={`^sew@ut5tV_hs(
zCEnFZ_uPJBayndIBwwg@GsB)So+QnywySZAvK|sx@m|T03Q9Zs$sr&q-*>*rQNCYq
z;dd0n<5+L9g&NbOHQA(-Ms^pKj+vKfNrS8G2za-p0Hs!_p2_W^bWlR{hulA?Lop7v
zn;Vi{GUK-Zw0LR4`29Z{48WFDme(1-Se~#j*?HweY#X2EEdF_-L-C7!&It<AH*2}z
z$4$L=BWf0z>`426Dx{lX?KWs3j^=92+!rDTr+;koq9i%9QlW-9KtcDON6(y$MR$d`
z;9_mKiB4kw3j}yR&LDzj@Zi{F9SO<<bUC+giv$JL#qT)0F9!d6pM(jHkb?<}({ZLa
zJ=Bz_{(VQkl|Dn{mo)nlynhS-=c58OX%1V5YKR(AgkUX72kPx>(&LO8&rwi|75m9w
z>wERV>pV=V$NaPNgN8Vj6x_<vqM4Q{e_V+x{_yc6GdW4u`)?#DuAnbvAW;k>M#K%L
z@p=>KZdzT$+}xRgDLeef$NOmcoV28WUU%;406lvnVQ*^pTKOw_z$t1h1U(_c6c(T_
z=(E|=ii|D({ec#z3VLgMH-{X4n6{fL)vZ~)&xpF?C|{}Jr(q~b3;l8gHnZFyFava6
zlo<J6CkXsmtf1xLFPU52`TDi-w|WYNZ0{%qcJl3X=N<K(Fyu9qpS^U3Q1F4OJ^oWI
z|Gk651V6%7k{`GPQQ}@STdeeorDGp*H%27KC&c%?6)3k=T7s`DjsQQ@FwLK~gURQP
z&Evn1@(*o5SLkboS<a_g`7X2ajGK#)ieXNLW5?csH<U9{;4yh;G#71>^|l3u0&pti
zz^Ap`!ho9u>mJu}+X@W-ntGW+l{q;d`*giASSkKGwbDanSKQr4T<GNl+k{4NFbG39
z%{K{IfmVUobE^R5xp@sMJtays4cF3W@5l!2SD&~y<VuNTT?K5b;GQu_b`<%h`pOGM
z2Y`kLb`UG83Hbk{pIItof;#k2;|dU6$D1z`NZAzF3Ab0S12*aimGW!@ZvWyrDWLAg
zE_X(nd2J&rAjt-SW>_KWGmJufkpf8xnnbFjaHX-aKZZD-G%TPk;?pPKJ*?F4gnB*7
zCLrK9Rjf+rb3WeYbH~fsGKgpawg(>9#A69>Q&UqRAt4iPx|zE3y7m4}k@Y5a4h}cq
zxAJZ}4az77qJQ8p5~41Y1cpw18M0((Wnvx%ufr@hA<N>w09W^Du`g#CuuMSxl!%s6
z;~6c*m8_@AfnUqfx)J0vb+S>?e4Mg(3_7{Dx4$c%l}M3*GP($wF3jJe5m_#VO7|Ls
z!GgwRHD7J$Pa5dpe>hhry+Qc^Gy>%%!X641)QNF@eSO~w3b^rBYAw(`r&7@kn*hXg
zB#rH?EF&S|Y~HHE#Kc5#9>_6(UFCXO$O%vg-P{JM03`!Bi12ycE5W!LZ0(AMhN?c{
zT|2<nr3I9~wE(qo3)Hsh0ZRa}2z;Rcz;F!kyGteN4A(iP-{jK8srCRhEXhM5;0d(o
zPsKL?M1tp}8{K2p`&%hKDy;BoB)u7{w1wzLF01YSm)x-LFhOG*n&iFeN@l>VavOk&
zAd&dr_B?Q|zhIwFC-3AmYOtE+U*8BHg#1;mvtaq-r@#|02IM`cR%vxx8h@~&p`pE3
z4jX3HG6zCqU>FyTN5W+-1Qa`=a$%-t$yK3fyUUmbAO;okwC9fwi$~$grLhjAo`I&g
ziuEAC2;i|<Ce~0TWC4%M{%2Nkec8ps`MR#O!St8Rhm`0JbpCmdfVc2$-u)Wz{W3v;
zp9!gnKb_rX&_=AG`SeAmBM*gqhU6abAKSkoV)D8?03YVUEv!1UJ>WiMa5*(%qf^KV
zCZsDdPfko&j|jq94|sU={AT}5ualOTXj~<m#XHBobu}-D_@Jg{T8oA=Yr496Ny*&I
z)~wF3xGCnAWKLe;5iZCIcACFr{b7QM=tMAe(DomXnMS)bmZ5ZXH8jj4*zJ}haSiU|
z(l=xy-|}G99Sj#~q!DB`A#<IBj!W<a#t*>N^z^kNAqqvp6CVnbYRBvs%`=EWQu&a1
z1606f(*=ECJPw*MFsc?#gZOapZ{92dqw{b-XhNQ8Wn;h62p74+Yv5=F)wMVTpngnS
z<gx94ZY#8?rMWbiWSep?T64o0mG$~;u@;OjUnwTrSCE7P*$&;re#qW*mx=+p1}C=-
z6+BP=*JTxeItE&`0HOBJV!%Mx?;}+R_%rX$`|{gxr+#zIhy39|A!~=W62T#Bx<vTG
zBb3lkm&7i+^nl>1mBFOpmeoLnzy^P@M6scOeWLNGoysEnX-%__hWz=CD{Vdw1idf>
z$ulScAv1MW>KUmc(mFc}(2L_E<Y16QeT?dka{y&pIuh`q=4Lk6VU7LUFce-hosuwg
zAo}in?e88RdQ(U+?Z4C2Jg?5k4%$#E0#7Fj*!hH3!Rj{5^j`|=CnaiOCy3EM`N8N5
zEW%0OuO}m)xr~nR#l<+hzAeBM%tB|>%UZrf%Qf2HPlT>TGw~~NUE2rHIn!z%yn(r`
zw6G?%4Ngt&&Xn6JL)^uT-vSm4;`GS%Z4Vc}*VM>^2UPQQWY&%#jxwRTv2s9Boz23u
z=9_P}-DF(gS*x<6mqn&<;4MsTu6YEWFmnae2_!uB+Hbv3k$kC1t-US1b%-7Fu@)#b
zEEgWH0-jvKW9MFFNKY9M(P%SBMs%Qke-E65sovZGv7exwG(uHl6i_AA1uXLd=UQ^9
zOkz1&leX9w-#Ll-4HPa3)`jr<xloiRXN<vX?#D9$@84nHFF^f2(k7uE%TW{xBV06B
zH2l@sH<e#7{PA6{pp~r--A2Xl!4p0)qzTlA+!sUIWW#|<i_V!*_J;s2YUlU}*vD_w
zb<e+#h<c|fS>_&Tylyd-bD*8WqWgf7Tr^BDQb#;rB4;wQ16U+xQw#|<OHCJGc$QLH
zCZ2|(eEI8>tYagoT8Gmh#veZZoeU?*4IS&3l>=3Dv(T6sP&gFwkk-Xabs&g0ja9KP
zLnbWhHoxDUxh8C;K2mz8@*72Gpbd@x_i0^#yy4?}>o9bFvhJ!Y)|SbG{u#pcNBD?y
zL%|Zmz7y(xLuH};{sa}A16<U8@+~sPTl)FzuVL#|H`?aYB<~%-6M|{>jpn%u$O%E)
zovWc#lVEX=v<}1fB6`ns^rcTD!6NW=O*BTy-gEDhjbY3iG}aFV#W4HL*l3wzfNepw
ziGa(IOicpUz>mTxMa((Vb>2eF)8Nv3JJpPOETT17UtT;#Q_(UakZe#}GLrc<26Ng8
zo=)f`X?NnuM~XiwOZc!OH^9Aedk9R{dT!erCE5in^)>t_wTBj<S?)7cL5D<c@Q^xG
zI&8!ahHuJ932ZWTosTvH;{c_C2VXMmszM9{hiL7^yZ<@-jB72}Dg&C?iJ36#DwajU
z;(6)5O8~V?YM6@9^QkO17UDKpQhiq!PoJxw?1V%-Iyazd^korNISDIWTsaO7GY&fa
z-3#KNDtcTk`c@R)qWHnGc#)o?Pi36$q_Y+R*Q+nuT`K)Zp3H+iTL1h&C_r{SK=}-L
zXTy>xdtO}Sl0N8v;f1NRID5nN@(yY6;~bWsW3R$5`gXcm*=9v_w(sc_PmwI69mBSy
z>J{4G9YFxcC0ZjY{6Yq|+)8~QT9r5v%}+m3H_n5hIXo*?Rsf0&0Iqk4^1oc~px9uG
zftVge$xI$ud`~NrOzQxTIg?TL%V8_j{nI52mg#)w&}UeMX-!;glg*|%p1#^`=PvOO
z&B@ve5>r=v6?OzoDg6LZ#hUZPTViA?NwyD0Oir;te6IsAJ(0%yzlvP1sAM}guQ4-(
zKCmR)_jbvSB+8kzCuDNiWz|p>ww+JN0D&=g+sdf7JQu9ep>wjU+Nue(NKeG_GO09(
z4E?DEr}iGNhS7KFV8S?r!|g~L@w)zHNM{M8Zd*zQu}BCfcI?+sE^8BVQT@Sqw`)q|
z=c*Tl9z2a}Bt@>zC+D1Abir~W>(XN4Zq#~y;S03YnIf(c-b}~epwMVouQ9}sr{`+K
zI=1S*teer5iOfH4e_E~$nHKh4NX`rr;!&K#O6@-1o79m;I|E28en~J5QQr#7V1CK2
zR3BlAdQU1ISqY=M?FDp(3jrf3OkJ|sCAI+Po30Re*Rumg>_{AD{0UpCP@MyRIM{DM
zSyL-xFNYi~m9sfsF2BK2zMW$BU|ZIWZdh7vZUkk*<<)H+VO`&44oKjRj@3o_b>&<=
zKkOLt(wtbx(kuR+6Z*rdpn?MhHB^b|^OEb(f-a>?G)UENclG96H}n<N{=$nY0IG%-
zD#Meqs6H#21!y&ibn%ciEvt+4k=OAZN1+|As`@uf>{1w<#DSXFpDugdX92e1J_?)e
zgE95j-#FiX{}@v!>zUFu+|o=PLB{7C`;dOP^@Ys4;uiRpGA}i*dC1>!z{0Z6Cdt{y
zWbC6xlrUA@zI`FC|66!?0sgn+K{29JZlI3qoQZ#a*uw2It(Rg^li&rO=|OQxc^b0`
zyd65MjY+cc!Zgb8aNx9Tbd*mImDT9sVa<iq80Ve9_bhR<m-)}v2fm07z_j=uEei&^
zdCFp?O;<hL?*{3z%qBXgg@Ok>j-!Qltf*wGze>dSXFK)D$cB@+>fq$dj;h%*;lAaH
z4-n0|9xd*bqVU=r4%g!bB3Y67e&5XTVtNARukVEn2cLF1cyO%LYq8as4I~0v&KEG+
z*3E_6#kNMe%OfmJICLm>Td@2yKIEATV^mj|ceh#2ASx3Q8lek+mqiMnMMkT~{bo|y
z`BfsOK#o*eF2|Z65|m;w3zjb#FE0U^JpSbF$UWF&?hQj)vngd*Dt0<MLcasKJ|)>5
zvf=fgwYCZvdv5)>%I{c^PX{$W=Uo&3Zngh^7VRp<ScPgk6W=Ji0}s{jscLtT&&Tz?
z94-TiU3JLKR=-<5z;f~>M=e$_kwlfAOco_LSl0136)+=!0Fe4=u}|7a^T|U=Iaa&@
zhveNky|}y%>!Q6OFf}g_$Wdkh>DtisK}<YtR>pe67>ki~SbM!p77~&B+tO5YB@~=#
zfCF1>(IULQ7mx5kAjiwqA23#L+X2<zx?E05YAqps*KNkI9+$oOjbf<#u(?W&7h_z0
z)m;3*seT&Uc=~s?=OUy+zLLubjxr1zGvgJG4TFl)GR67#6W(t;CBAzRkephK7Ag%c
z-`x0(+Srmv|LHkkJ~L4v&6`BQgMbqNS@tT!NBg8aZ_Z=R>Z()>#?5w-i;1{OVTk{g
zBeHjkrE6t`s+tLOhESfi=hQxy`i?uB6DNy9B3n9IoP}I<Ash7T9}~Do8K0r0@dEZ~
zdmv=)aD1!8)5Z;#S=ZvMHT3uI<`FZaQdrg0kSA(Qp&6T&!noB<T=D9mW{c*ur+&B(
zvX1+z6>)3TGf-(m;dB+1g=FF@S}Mo|@}+XdPS<PlXqHx+rjyT*XRKF65=q>qk+_=X
zqIMzeIQ`;mhFmb|T0~ujdbVP!6p$uce>FV`G<{%<Yl<4Gt%I11wu0C0sWDc2o6x(G
zj!LiFlF}R$F_A_2FAHFujwP@D%@_WEmIffI03pTC_jI6@fG+|u9`VyjyR1<it2HB4
z>tHl3KGAWbh=ZJ*%*AG273vyCW6Is|g4*W;jjhRTLjmt_q`9OsU@R>SP7#&&M0V#V
zYPc){z(c(dNj6e|T+kL~$CuY#MSn7f)H3N9*+^7U@l8J!iWBB0qwZ|0LZN;ECAc+p
z&Q|2o)LfvHR`WZW48`JEl}tPGLL;Osd5ZIO?eGy2E#6okysLDPRhl2nJn35mTu}|f
z2ve5JsPB=GcwG-P(j0BEt+iag8ylILRfC3TpCKZ;R#b2m8IO}-FmeNht*HSAYj0Tx
zmH&wZ(NV+q>9mJTIjX<q8$?h^&(hR4o=pG*-0?b~HT07IVM}>55SVLKo7FDNm%nO$
zU@^A$HE63*+1n>x#poCX=_k>joT%wlLfOQW_7Q6~wXH1i^4MJATtAA!J1Bv}3uAQx
zRz`@NGlh{mV1vo>)HBEf(Hbd!`a}IsNx)OsY3NT4?_fU@)8ZC+Qv;PsB0Jd&Z%Oq<
z#o?BXPQTVTiTPDJ+D4~U<Z>ifFx}LrvvZktxF?J4e$OU(KqT~%-?223$Zwm(^aiKr
z8Z-4VyTJT*wTFq)69ZRxeOr1NKLDXOVUav&4O;_0@Gg3eBQzCP&xCeB9&&hN(-SkW
zZ1!65j$Js~sXF77=;ge?-0>D5EB@8t2ylGv(O}c7Vu2n25hN?4Iu;gjS#$_;xxQ9Y
zsW7y)yKcGoJQq1RjU>~0s@k{=ZCnqUxjaMTDwNjd0an1Efup^F7z(!xO{}TA>#Mh3
z-|eEQsO{QpVs%{)=S`+)zdd6B={~}7$<A$GQ)K)OWzxA-a|gAWH_N~q&{qJuV{6p7
z2Ag?`QX!o58n)#52}km=37m#GgRq6}#P3+GBM=9<dJDK|*(CLv>-<@OAOxVl#2^!S
zVp#UXa(hnjDII~wc~@V3zus<zK&I^imgp1aM#Eu(Jxq7?jk(>jkG|j$$N(Er`L~l)
zoCeA>RdlsGPzKc5huW?b@)5bdT~u{$loTZq?)YHN)W{Xp<jNQ<{UbV5>{qt}^UW;R
z1N<sz0n8zw3S(k*Oy?c23N0jerRd+zCd38KQa%$H(|sMzkv5GZ6hF^E)4zwcD}j5H
zzQWcO5Nws>y@OvCA}Tn4g)o~Cera7|z|^Z`qws>9z~@}CASCk!IJL=>aS*;eGh<{H
zT&66(Wx`+`bWMBUedh;64XvnagW!HcH<R?q20OiUiq4O&f2JL6X^66z>Wv0Na1M#S
zg(JvukGWeT2zDtf*MI%r>pu%z>DHTKfCC6%hCR1hs*tior>0wKtBowCF2{v}g`?4Y
z@iOif2qGD8#|6BWQCQ~8=RrUV8a&Py;cF87An=&x_I!VbeYXrOfKl<?9g>@5EO4xJ
zgCmXTU!&hKZ!4>$R&^>t>KIcSxsekjSzV^!kNEOZWV6*uvfXDh37`=U<;!Qz7!HXQ
zIcm%)6fp%e%NK;0_X%3gq;XfUSwIDyi2Hk7>`nH~vt(}T6<5{JpEAdOI<sMMM}E=u
zXuYrhz77h9ilD#PnmRpwNXO}xJ$*sw+`600p;#Yt6Z6IC)Ior;M3~TQcr>Fr&L>Sp
zYij)(mo}`<R-pf8&tEi`Ms2ERL#uu5v_tcPB4ULT<h}5Xb=5OZ%p-@qTKy7AP%S3?
zZx4P8bl(1vO2LZfC@zVUa%amU2@CqwEk8|+=+BhU;zOe-y82LUbGFM>Urqry3<mrp
z(6eb`OQVKJB+|j7+%You4qBuML*UtIM7qFIE^uOr%`<(2)h{8aV%adT3a%=P%uMLY
ziqAoqaTQ7-AFqX_{GcD(&lpIzX8$|h^_|Cb8+W>6K9d;mqJmD*ym#-hV+qA9GxaS{
zpo>SW6U)lcJHVOtGYZ!<$J;zpe5#9=P2=rHMm3Em)E*qA5f+)By?0^ZTTmt?Z_cQc
zE4hd%G`b_8^eXiO-eBS`6zg3Y^rl!Zd~y4YZNprIsHNtn<;8r%D@?n;opl=dW@$)=
z@glWU8Db$BG%5bxD2kuot(YoP1>mGl6#(3|Lw9;{N<1G|+LS-bQ@x``Nee@<x81So
zhN)-cK`YI~VJU;e+90l1(*igwZ7h#8rC$i~IA2LF#g!o^b2ZsM9Xt~P%7(YmcH-4l
zI1H!E^=r2x->^J`>J~oI09+vr3H4`o8&t>7(Fgq8tkt=j`i$Vj-z9JLU>b$nfSm^I
z`k~jKXh;7j*r!@VEb8me%!y2y(w#D!<bGMKI2-(%zIQm0Bb`bg3a0D8G}mmSwxgh}
z0AptpoCs#q5D|4O6{N1qE5*LL?oGTz9n!I%M&yecPhW7mKj|}Cs=Fgg9r_Y##Os!z
zc~&0K)u3s72CB0_)fHYmoP{}o@P&P7lL|-qMN?{2HfZ2l1&!XFtvyCzhSv&4fRhf(
z6Yy2Q;m2|<F4$^8-yeurK40Q3aMm&5FN4v{VVohpWL`l`q_eHQ5p9QSmxj0rVmp}z
zf%Q7$8eJqp3Dd1Xoe^pgn`AX5-LyJhIUH9MBo<S+Qgv}kL97kPx+Bhhp_R);3u#HO
z*Osx{$sQ^+fm$3R)(^UoRW}r!SydWu<BF_XyZSTZ;mUfHbk8x%YYqy6&gv&K!dy^$
zB5qKr!U{LU5cg5<Do;=f914QqW?&w2*+g-tN?$M{ISwK~!B|U(S-A#j@8}nHNRAE5
zuBe#mUgjt#(%Ej-zcmZoTTuSykzt^9tx_4Htd)v4NT(kwekGjLnsx|bUFS&d-_g3t
z7Cg0f>1f&+B91uVLc03X3U-+mr=C-+<`a&YX&$pe#4%sK(6Y3CW(b+>;bjz}LT1#d
zjU9T@nh5_VTpPPrUxTmUYOQ9MH=t5bJqf=8_&EuRI5@cdgNlwu6MWEJesV;=vmD)5
zz_O!4BJipWQJNBixJy@+(?A#xHis*1YkT;LIaiV74b6ymuTi01qRUvmKC{mXhkK=;
z49|nfMmJVucQ=aP5^<tiUtlU)l*Bh`X?_aYnR7S^sL8PU$oOBFW^=pBEQKG5PX}(c
z82rNfja7yd_c)`f%-Pj2YG|kHV;cFM?$5?QO-tcOnAhxLOi8nyrZV$PfA}s#5mh6^
zl&sJmJxz~X&yXNE(Cm0XmB4KAtD;93Ict`F#>y*PN<Wy8-<xv~W$E`RjN26Ai8DAD
zHzGEc)?K%<Fgj`Noq$*@r}~h=w``UefyoMZG!e}rX`f$~BPDl^(!iY=27YE(?HTH*
z52<NA`?Y;G=J-cf9BP)i2sJ$N{L*RWPxaU2uIw(F7gyVbEy5BTAl3kkk?>ou)L761
z`cWl6DKwQnZS_`IUk++!m+@>jIBxc0e&ypi428}Kg!1~CWA+|51eQ83Md=y`JqtU6
zkX`FEE-|>hn!c}qVzjpqw}w6uKQh6zPd$*p0J7fHK$+{Bviuh<HN{|Jkt={s8r-=Q
zD?3y5Dn&M_WzNGmux#r~G1BShcehx75|6|QfFX?%tV^<in%k~@XL#3oy&i#Tq>@v2
zbGDP7CVrd7+7xZ@XRw1^7?!Ehe$c=3V=K0wzSalRADFyznk#K4g81BLB2pVA_|kPK
zzjN|4w{7bs*55*tO6Vl~9Ks;LEN#Z3ARd90H|?+CVpM>QLBbhWdw}|UHUWJSi71Zf
z#3^F%k&{fd<U8~{$Kan*?Ar0oE^eff@9u1X%^Cm?0NCXatU7>ij}i&7e{~9}j<axl
zkEHih`S5C8e-2?5g|i_?LvIgcjO?O!6V!7;Q=_`=VVeX}q3wkgcN$H<!N#Q_xy8zq
z<#&}tK4{fgmb9mni@OFO2I)mo{1^*pRjHs^i}6p!@q+Y*#cb8Dwv3QPY2o;pCUE_X
zXlr-v5dvIiaj{>0fTn~;5sRYOLDTBw5VE3;HhIZFYCwOzg6mXkCzsGw_`c;G2d6z|
zvhlXzCr0Y^(jiOT;WBXu7T<HaQ@p9rE4G<j7bXE+(0l3kb;2y=v`?leMmMN(xXm}&
zBz#rz+B+1W$o!79M3I@g!c2M=UdetPh2Is&!%X$oHCqihD1BdE8&}lHAhdvYWx9-D
zKlyzqa#7o`bvmvar^CY$_IB%>>l<zbU4LKX@Z`t1Y<%vm)RP4&1q9Do2Kx4k@2I|K
zNqZ(xB0R_!rP$|V(Ms*QzOJn7sD)@y4&IYzmuY$g_sFXWdIb31E9nZiWFuzp^ioxs
z1=+x0`8^x-wO@A7N@j|~aBd$MQ9u0jdt~v0AAWkg*L(VwdZm_g#*Q?v&9XZ$h%JA&
zwgd)!FRAHRo}yVESMe`F_t_J?bI!~LxvU>rPb1=9*6wQ1l%rUvu$)e5W=s6IpK~+K
z9gG#EuS~J`P$?A`<2DSZn{4bmWB0nWc22ZP$De#FKT~K((~w~Vo7GDjZd@10E@?u#
zotY*eX<~+YiZf*PPKUDsKC3{^$gXeq6FUr5*4nNOtUe067Xq<=rX74?Owl4Mf{0Nk
z@^VBCM!4<g3&-yjE=wu}R#`~xYu&OhAI(=kMz?-8>zHekW0C*x$0ynPC3$XAM=Q&b
zfu$dg$2X@yC$*oc&8E>TeF$I+skoUrzHVjw5CxizIkHgqqIuCCMV7wnX$rnxe`-SQ
z==nXI=n(8v$yC8N0C@l9TgT%I+|lVNHGL?_w<W$sTQoi+`M#JDbspU5Zc+?JdoF5!
z(#07J_AazU3-na+3#(aH_VN#gujKA}WiNsGr|<h&*$O;nzjGbj1n6A+tPLXA{$rEi
z6;QRrA<&JVS68Ckj!n}4u)QFw3%&Z<PQeG=H~Y<s<zP4}l(-o#68>CLL%m!3K8Lt%
zXaN-zlRRjY_Yy+L=|TTc(4Tyi+eY%dPFIU~?$LqXV}k!wM_g2h*m0>;FHL&S02_Lq
zI5^O~*90$tB=W-F|D10BYX1z9`NM1z9*zB4thDoCV?Y$Ys@_0VEF$+AYEcGc%<<>&
zo&R6f5CMt4Y$pM3>~nMliV^gu7utLOR6PG@ERPaUNC`H}iv|t!f6h(+=P%!Zc$nvq
zk>~c)|NSDOfHg<5mt8cKQ~K{OS_JhUmR){dmd2={(88LdR$~*q0C$e$IWr;f&s5!i
zGwW{nf0dKhH6LZ#3#{r%rztwHBG5=sg1|xE=ud&w;NKt7^S?p*!|Vg>mS&j_%+YY9
zXu)bnunGy(xU8U+|JR!%OWXgx6X5@|l-fgJaAyxB@f|pEpF;}Rp1ZxKtNZfMmT17F
zfT(~pW3_RDfsZ8q{F}E(0cF*UzwnEVq(eD#FxU<goC2rDa_)LdO=wHrztkU=$hvqj
z-&V~TpMMaTfiItUUv71!8L!B0fzn!(<2f_t=&ocgTreNjIIkhQxj>0-cO6$Qr?Ai*
zB$#<KM}X`DHuJF#H*UZg;c+{%2KZ4>?fJ+Id~pU$hk`<Y*YW+GnED+c<^uzvipeP{
z8^9k8-%hEmftW)uhGPj!W4FPD6|RfwYakVe<%5~7H0a99BU^z_8eW6!2O)`3fB;KE
zPhTF7bgQeY;h5rG@E%j=+O;^t9`#RSI+H;aBUFQ3B5L`~Gu-+)Zw2D=k#7Q4jK~oB
zTF!rlsr~h}oY%E|cZdNuyAaO}8{wKmx6&0JyLAe1gQcDTi2gnN>N5=$BnANJ3b)HB
z@7XZOllcxi{sZJo%5K~F-2qHr*f&D&KLLuGlBFjbeWC8EIhN*ofOzqey6y&qlmUqH
z<u5W2SKXJG4x-<{$iZ<e89;aosBpO)jX?`Q=YrI?$>+|M=SOXAEl}b*fH*Ug=zS0a
za9KV#c)#*FGjl`>@ms8Jqx~8Hv)JrE%cwxFq~RhH&Q>q%>Ffvo>8RB+hX;(&2RF6d
zmRvx}gljT29TdPGWXXbMWn4HUmSg&Sk2SAkzG4RKQ`m#y`*Eg&0<`M4sb%;X&84fy
z*+;0<rRj1VE9&j-?dcNr<JpK$KZO(desw2W+Ju+8g6vT_<R30T{9mr*HUHhoOtyR0
z2)Mp7gI>L!_cnv_Ns5m@U2<FDVtFV4b7lZYATt{WemdLjbU-i#IMrDMAJ<XWl<2MP
zVagHcxX%DB-ajzV>3&4b_Raaz5@wJSxa;WXL)QduuF%W%HVd~llS$!Qe$%Cz<+4uP
zfSH9#Dz0JFR^^+XEBJZ<NO-|b*>7N5kxda<=FsB;+{(KLPw&lT!Y_T0mhL3)H((P_
zdNen-zdq;h1ZQ>t)dVF&3jU?3i1nDcT`!8EkLsBWgv;&Ig4b*N=3+-Z!U-M=6toFR
zB50D}V6qg5F9~Ccd8F!MsGTpcV+#9%B)0hf%(P2zE|U^i6Dgt!^$5OuB?N^}^#z_R
zI6ih+(k^eOjpqf-<kaQ7S4G_=^|ALUZ9CU?;c-g*{WeE0NA(Tw$=(-^`3Ae}D*Yo-
z(fN3C8DWA%4fbQbBk6Tz{G?KssD?LD;4$I7UJZIf7<Zle(;Eg-mi)NoOunAiT}X2@
z^U&hxd>5r4{1t&aM5x)({ahBwXx#2xR>(P!xXWep^SNa?hi7FyftTZ_aByqH+4~lH
z-*ASG_r7__xbl*DdM@WDbY)Ko{{C9jJ_sb}<(4bOfLhyKay+uRxvI?Ao8y2}A%T2p
zPd=LFlPo9&SIK^$Mfs@Z^zp<PiCuR$9=Q=0PehszI61k*LnvB6VdrGre{Bxp1{D`7
z%df#W1z~P%p^@no5^i_fWaLX4))NrKVAk)hxAz3@83=QDdEX(1iy+*(oc5LIXR=ez
zCrsLaXaz8<!#ga%F}QInB;JE8pLv_9@U^k;>zT)J3KRUQcTTDV6dJ&TpHk*PjAkcs
zk-wjWUWYeUi%44a;%fSw@>6up(MruimuJy4%KY8;mgMzk$DlO11fh>JfX-^MPg6{(
zFq^43NS5Mj2?jwJy|P&RG|axedTSbS3Km-tx*mu8@q4bS=4U3evB<37br&H3NF~SP
z*cJs(wL9psrU!uG6rq!;76d-arX7H27w9_3*bE#aJhS(XP7*2X$0?O3DBs;AVjh@f
z`?xZb&jSA=c{a=A`8NSbmOOm#Kb=fkj)T=6{tla2fOU;Qd<Mv?Gw+kbIoHET4f)3P
z13YWl03-wsygy!o3#I2&qDd5-LJPxfw3N_jeNm#GPMjZaW%42%L}iGQg=M4MnuG0P
zw<C76d?|(aYg`N-3)VgOX;FR5zzh)`(1h?Inx9B0Ato27UXF?U;|$EQJWM6qf0s80
zT9XE<%SH~x3`o76do4>#bBb;dful%;nj*~CNFFpHBDQe>+!6>U<@}dbF+fm5<LZyt
z*tTKQ6i|wU9`MV!&eb#I`PVl<<(!N|<Z}I`C{fkQwW-%=Z}6*XptagP&#3nBJWWKJ
z-GDI5^bQuv>Hhx2M88V#6i<{N3dc~p7LBIUG~21yUYjbH?|ek>`Kr-k1;4<)^G6Vy
z@O=Ip5*Z+;OACH;yXK<laX90?#W6AHHK=UiDz)bar?W00(Syekic~`+q$LMw!976L
zA;nVQu-|zE<YpNK$}Iqrmhlv2*&axdjG(pNR#Y0w-!$&C8+-+2DC9t1Q`OIV#eJsW
zy^aoulLBHW%Z<(BP1n{z%w(u**uNOq2id<Xrk+bO@4475x+nOIPMRvX1harFdgCH{
zURB9~ZOG`G@G?xB#bW~|E-F}S)8s@?tFWGb?_d;Z4umZ}hYX;vqZN`t1&2tF)15y8
zfl8!N7&C3bFRShZi~a#={lzahl6BeOA^AePJepS$D@w)zA37S0Sa*rXM)rb|h(!-S
z?93Ygu|rl305mgN5T%1QpjQ!}%rKHw9EP`p3GWlr{CEdabW?Q01ujUXDCT%=kRd{l
z@dRE&a@z{N&{9wR@x$Sn7##{nP4RF3#MbO_eAVJimDBobNs*0VK*6sTjMbDvTZVNk
zsycDfRwd&32mH?c{iDr5NTO<tLxsoh@m@nf3BDDV^h3|NHB4x?_`@)o=JbnDm+=9y
z@vwc2(B)_7wdh;^P3t>es`zv7-swG$_c67YK3`6#VCJdb^rsCI`{APw;_Hzc$?hpt
z#~UtGS?pG^^JLs~CmT)sy6sJnQ;BxXn_{`_pmad|eCJQKkmGLZw(Mc%XyV8Xtvxw@
z=shO%is|J5?|6g^2_a`ZO+&(5rQ%&iZbp1ci-`f3I<we6m-OBqTv8xuoiLmVae!Vs
zXAyKj1qtW;r;(xn(qsx;a~#(RrGYnQ8K~@u6h7hoqX31^D&|Wxu%4#7j_DAF+!Mr}
z&h27(@Vad!vN>?_A=Wx>OZYC|T>qEFY`gTIVw`sB>6p&y9h4#X;}bvv0xK*EO{DlG
z<Rx&!<!2CgAFZd`HiZuZCc6-Ae0yhjv%#IMblf$j|9K=|Uj?2|o+3BNj1ga$IO`uV
zY@I}mj!w$qykM7^g9y_qRuK`dKE8>$CJZYWm)c3BU+%NanUC+tKQ8sGSwZcEX|z#^
zV&qZA*qWj_!LE9b>WZIzt33kgF3&qhP9-!($Hy%T8#Hiu<@8NIL0P3V6X+yFhGfTb
zM%SagY;+v7jb-XzO_1jf|5(aIhNi2@8~X*0)mS?>^6i32vxW29ug3AO4wbOzq6kQx
zCSGL74HFfj)S9p2?BX1HF4#2m)H~vQcOn^v)yx=a#V<w@=AIM9_{635Cz^ndTa#?o
znF3y)U9pcyYaqj#AX<qRUZ2_TG$9)rs;aIZ5hYoqk9<rYZUs3WLh;8rv6@(s=g(KS
z<1xO82U4Gq@)`VYhN!~d*ja>KoCUXRQ?;!F+hf+pL1M~%j@wx&A%f8N3wswG`$_7$
zaC@-NZg#%gt|G>R&TR|vCqGY{g1>eVe`rvQihY&&@E)wamrz0vM{QnC(RFVy-JOt|
zb8JZU6u*Cw#u)N@y7F5A+;hbydwqtOu;lw^*JrYptx(LCIli3@??8yPIhUbORirDR
zr*N`-E!-XlKAY;PAOS1^`zEZBWPzW~;-Xil!}v8~nS>9sCyKVDgY4BWw?e$IC~c}$
zVjGFc!BFQW&3?b=TW^L6=F+jE$oi}3HZ>BLlLwM+VuXCddJU<d$X%(?Zy2wLBxdNn
z+Bb4?op@B@wN<i}=<s|ue%XIQ>+Ep<-5B=rZIF7X%}=VAtw|8jFjqLdO)I<S0={?`
z7vRN+D<lZH2y2cNCs>B!Za9r@P{`xPz7QL9X^P}pbCE-hE8dD?O;xIk{6d<(Q7m}%
zhgclY15=$OW=4wiIfUNP+cx&R3S$)UsD5_~5*T8{P~68$@X-M%{g3(A0Ms?bi=Oj9
z9NJlNUB{kx+PhD&Xb-bhU&Iks8(ETz^${Ah01mdH{lP{Fi{e!ZMhC{)3!&a1doFY8
z^Qfc=;#KyBgFq0j{CUIEh+XE}YqCV@UIzY!-4{DGV!X**CJGEI?|)DSCGxK}Mz>j!
z@x6#_XbDCAe6)gLyDSdXb%)RGusg8l*NcRYeP;fAhx-%!Wpd7-P1xan;Rk>ReBgA$
zl+bl-*&5E2sh;pIo%!uM!TR=GM`i8A(mN!HI}(9FYSUC2ML*@h2a0r47RJ8WYRk{O
zr5~ex+w+u}HbOK4#S$o+m{46n=F$p~iA4q70`aIEd#B-t#a|Apj4`o`<3_SM`rh%x
z0+>p0U!S#}ijkcr(jT>rbLbLX-|+)g?R&DDh~NmQMxig2aW)PQEST%J$et<hwXRnD
z1hVmj72=^dzh7{i8!R?DFe<=XOeB=++~PkBKj(%YaCH{u>Qr<x{qWv^ozswh0Ahe?
zEiyh4jdg+vAzUo|zP69fFcIwX<%`IB1~<-?9!wfS5PZLwm6LfdsHvY~C-va+P&6(c
zi*X1@c++Z5mlAoG0SOhY@UuU`swZly5ER-w1gP#D`UqbYM@o(INEmszw~;Zdv=4lj
zvql@M8kM-%l6~EI0jp%LOuC(*6>$9Q?B$1d6^D$Z$Y3-OR$3+2>l)M`_!yxzt)h^|
zN>${m*aEyOTo134YSI&3YBnW?Hyp$Qex@)5kqo??-P0LNVFt>*lq`Ze8h&Yx+3&cm
znT))LwUg_~ri**Du&>3|VT^1iUowj1=;LF1C>biRk;|Xpg<9f~`JX&(&?BoiY4NLQ
z9NS&zpj5x?W3ZF_<h)}MZ&sRMhcC1^!7YEVdb+g$O|$cry>}qv1VOA+R0Jwwnl_Dj
z<8d>4=5q@@)^kyTL=IlW@0iYHa@1h$*A+F9>K1R6)$C7?5lId~!uS89?JvW!>YlK1
z7!XNmlx~nl5u{6ymJ%sZK#-6QgARjkkdOum6$C^&B}KYHx<R@d-np#X-}5}j|J(Zw
z53jxVidnNJ&N)YEu4#b0!nS08FqVuu#Ws90JN!W1lJe`zUIl;CYspW;omq8W9%m=x
zQYc{31ZDCz(wks&w>Kx99nT-jSoz%)c`)z_S7bS_PEtd}4U!FNs?SF3WbeHSU<@{A
z8!{{l+9MplPIB8792xF9xaXNizB77f(*1bi`i8f2rMU=jy02c4ThVMCcbpxoggSLu
zB&1pzDOZUxzT!R<ml?Z^7t&e7?QnHLkFSDN5ZgY$hf@Cp2%(8Aus1$*9@zT&eQ^Yo
z<rMDZzAtyG7a0aY#dPatq<P&uo+YE3)Sf}p;UAOafXEi}@o9D|tJin>&`;gjL+JX}
zCy$=e2CddC<z^n<qIO-sanAw6fHDXC-ltiymZ<FC3SMVPO1bxs%(3`tGNN6ZV(t&Y
zj>h?z-LCXLP4(ROaJ};sT0GY{IM`%LE*G*(hDmqj*IMRGyEE34Jn_CTf-ruAV#6HX
z#skkGH&dF|e8lV!#}izYjq%i(e8GGES1^!i%T~dcrf|N3H9@K?oUU9k#2V1OVUl*S
zR8sjk)vk$y)s^6DiGx7;_ZiO9W70xl<Bag3PeTGT5mdCgq2o8}6t2`dlBtbcrQ}(U
zW$>I`I_GnTNlVN}glvGIeu^C7H!#wANfM|ck@&yeL8y-`Bos>KBPasSd`w)(2RYex
z<jXUJRXUrLjuT#%Dzgi3VtAVT%|5ehwfaqe9y611SuK+!p!Bw!YB-^=kRz90W1*J(
zOj9-f5X~}@S$S$Cz(t3uO<ple9}dL9H?7bx;(8Sd(NNYWQz|k;CimO}*8`F;SzZld
zQ>$6>2{K%NaQ-E@vlGHWBiG=1?DUDuC~d%O{W#j`eCInIMN3X;cfgF?7m~Ku3{tDI
z6&K`@TRD=qCS#A0yh<9JsDC^-;5P~hK8gG$Z;FY;PJoF2?)zHRWp@S_lM{ZGGZ-AJ
zD|@yuR_Hd6GhEDdzj(%PNQFzUoW)3)2=WA&Gqm7EAveh)R_1*W(l<6~)mH>l2QvhA
z;dXcFkDu2oU`-^G_Sog!7Ak#6!s?50t0RixeC*yk6*vEt<Oho!ICS}j2Ja)E`%v0r
zOhsJ1&z*3wC27B&`F5Glm1vQB&G)}dIx-VqnU>@%(0zR_$VikGjg5p=anStkEv`1E
zWg_aXnAnL9`2nU8B;PVTdoD6_;Z^)#V{X-IGTCpBJG~e}L<lQf<K!+qAQn+*>`@lu
z^iH^7-q5MN*cN$$NZ43$pWpxBRB!K0co2m=xKJE2l=?;1Yew<w2;8e;vx>+{s2t51
zMrc8IFL#zJ+IWvwJvri9DZ8+mKfb0{<*@rLq-bN{8d(z;EQX2%a=bXZ!%t;ti2^KS
zhTYJ!+lcBKwq{+H<4XZcRYtu_oCWdMg#_REwAEmwcpFaD=%S!7yj6?KR*@<EM8&UJ
zTV{r0NO!(8G?M0Qze%Sl;N}G~xfy|U$U4QA+@pJC+$|qOzT}6-W!<kv^g%Eq*+<>=
zEer1*-Z7I)mOdBTA6}j#YX2cHmY2=npcsG8n+iqMN7Hc6Fs)P3x&6SlrX=-prcd?-
zAE~mCL!c$5HFz?TN5$T1@^B<PVY8W5SEu_R>qZUF<_mhuvCDxx6rM(5c~c2Y=hQy*
zNNEzieW{CmkkaI&)=brFxuQ%^1|={duPx+|PztnKzn46jp38|d$%(IgG8{$cf=ed8
zZ-#<(i&SW%I`P!c7hzWN`g+2xR?-Um7jntBG4XZ$E0gp099LB1UaCt<q?SW3HwlsX
zl1ToC0SZ^5{Lv1HXbkL`;L?03c<i2UDRVANo|N%ax}|4^%XnMR!Z;#7a>&>ja3iOa
zcpkof7bc-JlF7x`u93c)=i@7x>iny5Pa5u(ys;B#n#z8V(f%-Pn~tj)m+s9C<Qn4p
zO53?3=HgDuw-pB2dTnkis>6+A6gpxVobKW)e`pIgc;<(33A~;5Vl+*1pW%^evrRPV
zAmv<6R@J(|dJ&FLTopSMA{pV55wcpq<OEnM>+A>VN7u!NW52h1JwL`xP0^iYjFQXY
zY|MY^>d2{AT%tbQ&TtgGJd|&mS(MOkb2{NL=+klX(`PLOht;8LBNm}!e$aZ#20tmV
z<FL$bIBDTTYe`g72Y|M+_AaF)H^a@+b-X5ed8@!9Ye)yGNqCFYcM8o$svDllkbah9
zrI%zHeWB*th-HV8CPJX)aXd{k^p2u?Bf8(}CSZc@SYIROp;jcmVoq~~g+12pGDBup
zzM6Kbh+QRNFI(@6yrw<HqLQcN9h?kI%G&<lWnE=DY?mp9IvrJwIXFHmQ%A&!7_nxJ
zlWt(!wLexx%~xW%65K6~)|B$<TUe8sG_ONRdW5T|!A1U$He!19xQsY2jrU)MS-!cD
zrG9Vd77OQXl?wqHxhgTZJZsIB<=IPOb1_DeX~a!I9nr5kSx(NN?^fN^Zu0RXU!*R9
z`G{N`?61wCQ<8XvUGfXBwCJ5^H7gS?G@Rr(qikt)NFnjGTCbF|dwy^)qe@1_Qj|cx
zr=8e;86jZH7<qTEzjG(J$kMlPS-Ql&-g=pr-sg4q1|Ru@6^jz-Y9`|ge!jPAX^rn(
z%l8(+d3f7?&F&Mi8*RxQ?ZXyw1Kz6^))Dj(h|ZZtvz*<;rE<BU+WBaVWL|G-#ri^h
zOB!MWi67e8$UUG#6pRE?-Jx9U^(0k(^h*2Q7kLVHJhU>QMqOnwNtdR=S-EoPA9Qm^
zu?RYd36*KvwK(A4@jpx#<g%yNjIegq%yFQoGG>g!-W|+0>LHSUKw@`6`*kZ)_l#9p
z&{mYn1?~hAKY10dmAU(d<M!JTTb$=`j!Qe-a05#gbeyPL46oj(>Bty6XbroEMuXkB
z$CqK&d)doMSPY}C%B^YlJL5za6RnpFktz~DdBS=4GaF(0-^y;^ZffbT=6}`~zx`O<
zUja$y`CaTUNdzvwQIyOhsivKw%VJ7T{pugiJZOL1@Q89??~@M^zd^TjJjbwV+`6)(
zXPQscl)w|et=89{G9zaT;~xcLJhZ#!>=*BQYot^FljktCYrffh<7CSH!eLN>QzCG5
zcJ|S_y`a)GX6VBo=8%(#Em$K-IzUFJ#J~3T_!FA&i6_lwo{gY)K?cQRJkJz5p}=SS
zI(TFI&?og3iz<t$Yi(EGEm4+vQh_&>J*>=EnU|VP7>cIv&OW5}j;&BC))^0`5LvFm
zO;U3#y#1+5>Jsiv8$nUolWPnZM=XI(8l78#LIRHJ<`~7?v`(9>qOF(i3B@XvA7VVV
z7`Lj6!qF|V@snaexx_b_9G$I8N%Yg|nUMnRj>oixumc&cR&=DqYlZ2}CCsj|c=qH+
z(w?uTJmnWDrmUg3A2#$|3CrLuHocE@gIcv3)@ZFf9}Dkp_LO_zSc~OFJ{BtJZ|x6@
z{JK>xJho}vZ%$DzD^?_5<F^?TiH|6`E#KTvi5;j`VW!xx2n&OAsgGFCxDkU!hWIgS
z&^6ncds#Rq9n_EL-3f9@hhlRuiOH$t6wDs-m2oq@Cz^gvou90oP8sL><daEE`@~3w
z76%({T<ElVmGQbX63sQk#Pxw@j6QCaO0=qtlE%1J+hoqSjvO%r4EWFlAQeA1u7ky_
zH%6SCxIPz~#U#{*tX0mj{_4>CHlK@Qm$p4NT@*Otc(Y79lW%lQ-okUD`E*bgalY_F
z2-4lX5vh**#ZIH=c&I0ALKDhYDEprEu8Tbh>%R0+r^IMJ_y@%&hHy_*e+4+AcPccw
zyxv^S`*EV-pxG`@9|MlYOwLnQOxkpOx*aUMvX=$8bUtZ>T`edRkpeO)9cBiUud|3h
zj-&}do8{a6iu3Iq>JRB!o-N%Ei_1pmj#3L@+A>Jvv?EW;xE<dtBAJ%)wKww9Hu^zy
zc#J*vXTazXKJrIvlu0mgu%BYjz;jGQ2!LbEmC~7TOD>%vUXMARBupQ{hN;#owTZ*7
zjNCa4(;M~AQSdm~L>s(RMzTv55=8PZ62?Be#yk+!l=;QrtK7XAi*A*6m*?+g&-Fa!
zgQ8s89Xr|{p*1>v<lD|M;X}i0mpjvp_M*y*>oHw79*{6RI}q1uxx`7fR;IK>?P#QM
z5pN^~;(F5b>s{mK(&jbha4_F6<(ajmvhs)tJ<2c<jBKt^BRI&?cW&WpaeaDsj@8JX
zqqtq>a#DZ6>l}X3xcAw`28m>!tjv|JBr2VF$Cn=Y(atFJ`>`pH%@uX!-xJ(S9xG6~
zcUb&l+c~uSrjN4xJT{7!f?=?3{Q5n?Yx`L;7`Nj1trpADnQ;Z*X=Um?IU5>sD{dR+
zyP_?6Hpx$;S88V*Bw-r^Ays5d2&rQ9y#E;>0_zv7KCD{?tM5yz9arZC-1mNbCQ-|c
z%F)-HK+9GJ<CqD8XLsLNHL?ASL?eFA7J=0LY~!w!p2pnFkOgKW5o8Di+q~VvB%Tn^
z;$F&6E-zYBNN!JGiW1>IYHqMtlH74d#65pn-UyYh1D9mn`SKtI@WHlMyW>)dY(}dT
z%eiiD9*?#>Yu6Jj*F;+rK-i`T^Bf-g76=wc>*e}YxnwqsRy}Tu>HeU&V(T}B_PhO7
zy57rz5059(F!ioISg1d9K4jM5zKKrv_hCj=Cy0W*<~QBdMwwNacrBf~+?a%y+pq)-
z6~j&s$HPR0cb9vMdJfx`#9gP(5SHKHkv>Mf8~Kq{7X;osrslYBt9GHh(56O^<@$xz
z6et4w^F!i97~lG>95oa|Ip#d8rlL?e(vI!SKjEjJOP!1gqhRv1BqGcbL>c}5%%bO$
zlKtS#nyDz;PQ`vFUunX?qF+%v#Cs(cF-p)&9%oz0qg<Cn%5hmung2LkvFb&J*LwfD
z>AbbD><-oSiVj=vYTLG2D&c3n80bE%|4i8$J~qq8uq%slQ6*WnX_fPtjUUneR2`Sh
zDr9F0j02(q%||ny;8k#^Px;Iv{UZ!)Q7{+7%=Tc#<a?O^D^-+kpNCh=t;UL+zWg}A
zt3Fu&7R26CIIyeucOm4G4?(;>cmz|Wpem^RzohC=Y%ulbG<k)+yhhR6bp$hq%EQvm
zZC`CtrvWMHldYlE?&Hr4mP479L|QC&TrupkDQ)#RLF|dDJ<3TrE{jtfjz!+F%V6F{
z41{>ILSVpRl48*a$L`k>m=VLfTka$An`>W!y<>}kUp!~-`1p6ryzDPuO&+efrf=lB
zJ(1Qzmh1*)U0BLBqBZAb&0i6k@u65~=8mOV447C{rIMev)ZzJ@CJNXYN<SHCM+ivP
zRg`J;pew^xHPh(t+}W3(d@3h26G9fPQ8G2dL4;Nyn^rwtG`!ClFc#^?Ozk!kww}4{
zVvddw>N|YM@invWcotu;j(>A6UamwXmxg#9i{+(oi35U|)9)78BpegP$7LoVza%FE
zGnuDF>D&i*i^HJD>xD`+Or3?IXTeqe7$PUd)!gLnc!JxVY~)c=VLyFab6R}Y9F=zW
z)FJe`#D|*3)6v$uiG#2*e-EA}niup+g$D4is-P*+T(}|^>%4ML-!s#;RG(u*;F%tq
z9T_HH(>-6QbzMvyS0AE98~`BqNQ}|Q^qS8})SU|YvY@9dLeEy%U7Xir4)J9HP!s-f
z*M#qpqC_yOAm}n8o<J$518}Dzf+Ie-ROH=IShNj<-dN>OW-W-i4(vLiyv^@7Ka1~`
zcI+$<@pQD77Kj$KoKS2UcuXx9ILz-o3d6WF<f6f-pvjJm*?Y}v0_&qOO7MLYLNh)1
z-rTIsQk%>KSZ(nTpLgB@;?fc5hRXk-7L^)N)BUjKTzn!=1|orqeTl=j_<#aoe&0Y{
zpHqs{bB0FpT)V89iQkLvm&c^4T|?>H)_Z;74bERx<rPkF6+^RGby(FHzXnglpvJRv
zfK*Me7|D9qE5)(ca*VRvE1|cJyD~+lG+{&=f+zSL3a+{2yb?VB37S7`GI|MpMzivz
zu$t(q?ew%@p&t-UyD;nqNm1fx30dS3s6KXeUN6jbvw~3I&YZ|ncEOLfp5zP7I~^&s
ztVSUspKiQ<Yig2v$B*AEeUC0y(j&as*jnq0i^kl`l|(odDX4tbBm1Wxv5mfl(gjXI
zx>tcrk-Hm^^EKX=$$vm?qk;n>{C6G1?4EkhiUAM)!dRsX01iw$5~&gsfbED|Jy9{)
z=oHcGwV#M6z^WBG45lkaXMC2#T70oLe1)m<M)A3_9UE159%jrthc2%v0}$HE>p8x}
z#>ac5;p5uFFpbm%UjH!V@|4Ak?3&QTlteV%QVnrJsbI6d$6Clj2MOR@Gii<aVkA-t
z{HcKld{*CymqkQtZuTi)W?%fkmKe5rienWv_7GVlRHI423tB7`CkO}dKd&(VSbvU!
z{jl<zg=Q-wLYV1LRTE3xhl{LQ8tG3B8!*zLBtIelO>G9zygi@?04tj^I{3KpsZu1w
zHR3#7JU_U&Q{C4?1%BQ9(6vFMkWr%$QA0A+Tc2Bcw98G}wg>cD2Kl?4-fXCy`Xz~F
zudZjB+^IHOv(+%{?fmAJyXhg-icqn%Dk#1xnzYYWM`F)k10)DrC2G3#_w*eopq;{U
zhr@$E<MedQ5_I@=g3fdIlnNHL$>k@yWNC1iAZMJEP0z&{EVKFOv!4y|G9tlY$&AbA
zw=fS0%jrHXeK#D=vZq#Z^SNUb)+Jv0)-F3gE)r6l9E}uoK&8WrsTXK?iIq!~2Fq^f
zcyqi4-A>L^A8q@CJ|;bn4lH}vjUDmkwv_rew9nfqtgm^shG5)p0%BHR^EKp=5}IFa
zTU{EBBVZky0Ahp<45ih(3xU43A|)<@OQE$fBlOu76Mx^o$Kq?-yXu?y{@h7vtI|~;
zbqX#oQYvdw85uuW?0&@%HrJ6P4u-D#!O`_t&Ot`|Zo*8QOmXv@-)axGq~7JrQWBhB
zFJTClK#HJF;!B;=ekf7wH7>L<o*1)JA5oCx>&L{S{er5ZlgT3A6Gvm!MMDBZlL=N9
zX-C%@e;tkC>(Hat#E0i?OWT4^!X)zHMhQ?FJY@H*0YHJU!(1x}#a_a*u~-qOYfW3;
z%Cg9<oN+G!GZ1HYm0MF2NGlMHt2y<nM3{6T0}7P74qxefE&v91Fz-Rm-NIV&3YUAM
zapC23#nT~zCbRw*fs}kNUkcZ6HcvK~{MF&?qg$4#1X{Emx}wFXDJfl*^{&)|Zb+Nu
zexf#wQ?HNot~2n)MS)ZWN~l&pIIz>f!Fk4e<n`=)<M%8yt`G0>c?enfz$nVc)b%)z
zUo-0h5m`OJ;%x7Dp;Lcl@zi%-Ot(adaZ`E_3Y-hV5Cczinu`^4JH#(L*Rj6lapppu
z;)tljajjJm-65Xm<kZeH=t`BYKAyd@fzKD#o_w-<^lhLz@iwOOQ3dvuTk@8NR=qV!
zx$kAnvqtvb%Uu5Y0Ct>-0Y6&vb#{X*d8!si3q4mfiU7^MxiE=7eAw)^J3^tC2}l8V
z#3BwL{+AZe5L&R4B|aLzTOWE^2I5S#1Z7^&d%d8Zbl3~MtAhJyYm+Gb*Mkmze8^R1
zZBJdwz@CT{s^sKHsnYsoX%Mn-BhN5#&N;<M`W<N|R<d!U#zjcr5UL^#OuQAIfd*^|
z4f-$l?Mt-}0<jT&e3j;0fXsb}mH4?9Q_m1JWvyzMfN6XD71v4Z=FCODu?e@`2W|G^
z{fe35*VDgY?CWU^y%eH^qfdake}ztq0qasZMx|ltr8uvE(a;^xxyA?ur`hws^o<u1
zO(qa?G-8>)wJ}S4-AbySsjRe%rm}V)_MzdT79&x<R<0hEI>g&AuDtz1{{b4{Rsg}n
zf*!qi0UcY3FOBm;3dHLKW7W&e5nqP&0_v7uCf|EMuqWP_^yKq;BTXg%fXigtip8}C
z869|QSD?84@(&HU2fAxOjgg1AOQ8>UjA}=-N$97^D3z~JX*!QcDMgd!2piNOX^Q!n
zb&xJR#Fe5K;)O`vW3zi-uqGH=%|E&2zJJ6=6@bdvX@=6=b~EVXTgUSxYh}=1>~_WF
zY`{pe@Pk^lk0UrzH%9?-0RFI8eP}M;3DGjY4p&%MAKmSBt?EM!TrNcS%k{-kx4ltT
zX3|$%5nltR8pIZoUxd~}2^V9v*{DE_e8e@%^m5xt$x~y4<si9tZ!U~~Fn^=eL=Wfk
zr$PExY8r`RApbKM=>q8u;Az>0+Sv!vkF!=&1Go$axZFn}`S+TbI>G&Lk;5oBNE+D{
zXwSzU_bBybs)U5xzVP^ZD#rX(lB3|m-4(?Wjy@Z#bn~*E%J&&Vk2(I>(|6F}^gL-z
zOEV+%QdusOyvT9qbR)!r(o*sPRlyR=C{Me<xumO#(fpQ!>kw$#0*ZWj-}x^^lM6yJ
zf({htud=5K8il57+-b-#Y)3cw;t+^p59r{tbsupN04qURv?~_hyS+<XS_t74;`wXA
zdVPoV(8tlzXETea0-1YIAU;p}c6}j0|CrwNhaq_K>CR15&kUwFXX_0<*)0$#CitOH
zT`Sm+)#yB)x`liCFjan9Xl@ZYB%8Fy`-$Kd+F5qPsyD45;zfq_80T$~v>U3cv@}FY
zae+<fr=Q{VjUK+4eekJRn$c5h7qZUomJ=0Q?MBj%D^8Y8#gA&Sub`r@L6XN|_O;d&
zi%gUE1<Q*v+lI`299?+=Dgs{@DQqgZHDB{;3nWzZeH4Q^{W72lza}9axqTDC)jT!g
z&ICh&3iU^Yt{yN6p$gRdR%f2`2bvnL*?NYjC?0#|<3Z&fLsg1c=;W`C5y&7RDcnn9
zV2gD37=43~YM=<&qdOlaT{LodmP+8}cg4W}L2rH5%<SQ}Ws95VK@c5N+9sbogt>rh
zy~~<+uI-kml(Q7xzHVq+C5MX`uxw!L+-iLvnMhFUuc|$8&jF|QwWSDC5s&G?*wbMv
zL|-+9Ia|d!uvVt|^$N}V0QF~>2$w1@Iqw2Apz&iR*N~~%d;jfn?<7cM5JQa@M)pfX
z`8(78x(W!7=?lWK4erHae}UA!4fW-zxy@I4j&XuAj2&!>xNW<yOlGGRJy2PDmzgMJ
zH+3^g$duiF<|F&Cde4VI&ozzLN?CPaKfjSnZXFPJ!L=otADAM{x(P>2A^!T&JtUND
zl{tl67N0|$*d9EtZz=9QOZ@3&n4lW=j)jE&s0OwKFf`cR&{nGdIwQZG$r))0JX^h(
zpSH^{H4=_`dVI)k!Efcy+O+aaV*KOirEI+?^NKxV_lh2_%qh7%{o(q>w@Vi1yZD^W
z*6C5Cv)$=P!&3h;nAN%M_Zzn<92=XwpRILr&wUxJuv%)to>z(EpC5hQ5}m7GZPIgO
zrCXS~`NCz*VfPEep4@Ve)3b)n%rQ6SsFk7oX;yUV3b&?UA5&$I?Hv9~x%YeCO9#-o
z>>M`Q5e<LdOmYp2@CK3TK|RiWprlg$;*WckY=^q)YWMy5^$+33va3C7Kg7X~%+Zya
zs=fZ9t5^*wEvVXdFINo!RjGv*dO8AUV*~mJi-II;qos<s&Ke_KlH&HPD}o9|`S(W4
z^_)*-lLXdk^eUyMhFhXX54VZ9O^^C>R0hv#md-Y7^v4s)h~{(joJRdJ8+CCIt9)G<
zbo}%c&$=_;8jIY@eqeK=7Ik)wyhCdNcvL8!O1YM5dLLS0oqykF&gO??r|Pj4H~x}Z
zA7}{9WBUGZ(U7<Cbjv|T>1azhY0}d7|G^(v(m{Ryg;(zWhrJWJckT?~d;Pgb<9ny4
z)nZT7igBqVrwEQ#qq#im(sp$DJdP%hJRG{_uQ@+{bmHRSCh*RkwXeK|nzOt8x^IpV
zhu-HbF5M)t=6cDY#B=vp!uuJJF^T=*!cb+*$^3-Lp<i`OF}^QT{&dA1P=&y%aP{m9
za3LK48;r`FsmAbJTb!WWBOvmib3<JDhkdzuetGFg%Aej-xd3_XBm;(26)=S?U973n
zD%`Rb=>EoJyGzG#DO)FK0Y}Q9%l=S%_dpfNW4?N=iHPFb#IopKr`ox)C)KkyDy@1O
z)P5p|8)qV?IT2#(J=Dc#$Y*=+n$UIz9qPqSc8Ai2EBe?IV|ge%>{)_`4-zh}QGIT~
zyye{yNbPdAt)*o-f}i+lUyyWz-+w(OoEJzu?OH<IfjPMU^c-5C@aESSK6vwyM-RO(
zf4><#L;Ciz=Ix59c+bI7hxw^Kn>IM5WP~g;9@F1!9iPgh9N<fQ0;@O3;^}=r4jcdz
z&dFq*&%Ao52;8Z2z3<d}c*OTc9H7bI=u1o@M`9JE;CbfsdH!^Bj0zw{N1!rEahWYo
zdc;rE552mZ!%ipA#W9MTz{1Z`OPgXC|KKYrg<`BYQ9+PK!h~wOVCvIvRpq=aKOla)
z_=nF2m1rTn^^6?dOr|JakG0P#xI+abi^qGD>=A44T8f9Qb2;@$FSrj89xu!eFuGN&
zQ5CI56rT<3CJ0MWKXkyavE-?;T;69|>d#mhOG8^3sCp77I~ITA)a~gGoo1q;ZQ?k0
z6U|v~@4KzJ_SudT=uI0F;&HrgHw~^*RCs}1apJiV0qZD4I8_#eTBNA|9yjX#CUlBJ
z*YAg(RA)Q69tm~sM|*4Ik;t^~(JzqVoBPsKU#wBepRBlmgmnF){LLG8Zro)xj^@<$
zKI7Zo^=JS1bw$xn5V)+PiED<?mRw#31uhb@5TT4GI5w7ey?Bl!bHPWW&8DjOag)#Y
zLZz0dw*@pYxX&!cxt~&0ua>pN2^CwB+*Yk_>CbU98X~+TH$BSqQDb!AGama5wWjBb
zXy5nGgm)r}MfZx=S&GqPM400rckdeoJ55v_CAu9h0t=JK>7bE1fI-jU37IX2$*zh&
zlv~YpT+GRQ>xgTMg>M7lQ4;{P{<<YpknSJSoNdq`E(B|SXCmHpsQcLhg#GMz=@qv{
zMOmsRy<qE;X_mn~z{2Gfj3O}ITzA0#pq-p?!bRgn#A+yebj`Y$Tgc$Et0&Aqu2oYF
zf5tS5&3|hhVO3IOIqtstHp$I#5ARIaVKKbx1U;PBW9M6v*vSl0!I(eSxW`wm@wVCN
zV3VFJ$`h4BeVnUQL&c|SrIzR14;n~}8eA>nxZQ+2oVS++cYPUTg2?JFCGOvmLR>h~
z2&ZX#d+6Xf!9sUBoP+JOT-RB49+O^9(l~Jsu{f{llNFo!ainq~JMxZ1QDI`ionCb#
z9dP=I$#Iw_T>4ZE=b|Ne2=_-~7$leCEhCp3zXef56c1U7)QH?IvtF6qJAT@C<aAL!
z*FP;>X6J*h$Kx73mn~+|7pw@|!8{(+N~1oK&lv&oaV0-+wP|SGzj#~&PNhC{jSmD+
zfoo)%SU_R!4e{y41cCh3EsqjDH%HaC)Dw7N`_(wKFa{)Tlh+ajga)$Kjk|l}4!I8x
zV`+qWohVkkMwf!=_E!`;nEKXqXkhT8X;MvRTVKyz;fSH&G39waz(3q$x%kqP+HUXx
zhZioH_O8fw@(W+TzHO$?p}V{gr3saA0GtIsiPJErEDDwI(-A<DJV(m#;2(Y51D$>n
zUGPlpNfCgj5~k!XIJE>cbOxz8bY9+s>y_p|K{_KCFFiH#wO)pd<<5)CP3>bCHHJ5A
zL=gp^9>fso7MT&KKi`<tn~0o|852AF%7FR>Yux<6B`@zr9{CV+03wvbLJqcMSLa>3
z^Mn(;zM103r%HR6^GDF6a086276+CPu|u=3g3#6BVHiX_yob#glgzcay}<pZs}G^W
zHK&~8EFP&9=bpBz^j_1b^lhc}nxn^;(tU-S_aq8in924I+}vfKEt=G7=!TzBSDk%h
z2q7D_p(TjX*RQbc#_pIpI@t_s^3H4)Dz+YP@2aBu{`sKi!xg5{>VSTC{E{&Glm^wJ
z)!n+tNU{10tY{t^N^Z;fQ&cZz1Z!ApDqn+5k^uWWlv#rtNq~ImYVKVPl2{%+gfj@t
zXZuin(ilmJ=9T+=FGk&?DTso^NKAGVu9v&*cNK(u9D3){*l24c54Y8hS8Qlrnkach
zayRU;F<c^I>Rd+UDnA;?Wlq)YN(yj4Qgp`@+L>0-3+=9KX$n3&qw!#5Y}YG2PFg#X
zf=ju0ZLrk%h>tKSk!LA%%&iG;jK;+_MAVc^m(ZSTJP%M-XZrMaQ(j6b?9Z-G`bmjD
zg?n9K!I#K8BINXN_tt5seajGuy@KtgnhXVj`)r@qmaj%984oXamxE^<M(5N|BknEN
zdsfGDnk-&e^r0Vb2~;C{+)tD$+5K(-nSA|g)c{4?aHOzKLu$m0d%2a}X?dPG&+uRq
zieNJDC}J(L`pr5lxoC(vJWyc_Wz0J~*^4MHT`9n&-e|}_%M-vDuvV>3nK<b=qYiYy
zqv~VJpNl;g`uuQIv<t~EXm}|uYnp**QI~N?ks{ker__E{Hs}#Th|H`}oIT@Q&@8Jh
zF)W8Z&4$T}?Td^9&rcYGEZQDbb!NQ%H|WQ;w8F|Y4)EdavZap<^XKqHY}*CrU((AX
z9|H>nG;Jyxd*7;h0YydZbpPDmcnJEbhrWwdc9IR{*~SZ+iCFQS?Vcu@qc4Q@`=1HW
zXl{gNv!2JqYqviPMHG{Q6Q?d!FeiXIxW{%rqnI#D73IugTRU<k;fj)CV~HULYDwAl
zv}_{x@{5|To2_N;Q)FjiJ6G8Gt$i6*1`3CZnd7V6w=!%*d7Vb*+I+SbDU?aAhu@E!
z(aj6i*bzd4)ax3Z>gw4j2hpvkX_qjLp$~De!cHqs$IWff$FHr_0uva*E-Squj^>?D
z_OirPnQu>M*{BBU%$o;{XNMl#cAbX7&aQVZpscM5y~WBAUKuhqIvIRx+tLHEg6h+q
z+@1`jG`@#?vipsigSyn`*P$I$tDnv!ftu;*$@m%75yW?<Uk9wIaF7PZth&6GY}Cc%
zW$-FL8!*PPI!Ud=6<_OA<B8&Ow>c5Q75z~lJK$EncPoU-t<@bpaItzVt|h8fztX?0
z?q=(E(~yr~>%Y)1@ju_q&C%cW!bildZ-C-E&K4pz3xE#DY9+cgK}%U)HbVZ9w7Y^x
zes0yK2~YYVh%80VUg8e4AJd~JSrV5%KrA`_$xF*QN#(u8p827d{i&T$pxS15757=&
zZLel&#&rlD#lkg#Q=cXl&ZiPLwhMe=nYUskMJ-(vu_i39ZzYOApY+K^M1K60wSxQj
z2V&YWg=Blo&*npfXI7Ob%<Fx=RVN1#;Y5qVmTRe&{YsC%>LSeDJ_Sfh^a&LNe|UiE
zes(mTt9NokwT*P=2T#($t@(Bu${+i2<Hsha#|MIJZs6nEo!D6thF^XN1$0zs)-w-T
zYoClkOuU(RC7eKDrc<gbowt}RpN@0z?bhdqqRrKG;~$Q7V%0%c|4N_qBCr=%=y~pl
zBk#_R*)>r;h+i2l4ha_4%y*x}*2h@<`hCrHUN|evQb1eg2tbM*3p1g}HhMrGqz9N@
z7})0?W$cjE%00c>8>Szcwx<Yc1jP^6>v;NAgj9IM%*Sqye?SE8|9tQc8R%z(^Y!Se
zmrjAnNlW!{OOe$RbTwN9aTr8PO!I&OXC0^lNvs8@7IeoCHCxHHP+#Q9)Oq6s_(8<<
z`ca`Rh7a-2U`L-S58ELyYXl2kSCF5Wo^DJ}3X;cy8dsT9s{_5+j&JclZO{oygJ&m^
zlNEzZkX3;1b9Pi2javcV+5*r>iur!_yLB?dEFL>k>ux}QxJf}c)Oj?z<{n)m4dn)j
zS0A8k1aXy2Jl8*-B0+%Oj(j#aeKHZmu^%*Z+Mz*@ZA%)dE&HVb7G$qgQD@4lkIfXM
z-i9WIYl{^_yn%;g_a>+m7G%B{{D$O|bcLvD;24+kzQC&Ezz3o2$aBaq3|`l94EoH`
z)vVq_S#Qj#zFAo|=}nQ^ALLe>>(X|8;H7FMBWRK7n^R1t)$S*Ti3YBQ0~alyAD-?v
ziR1F6<OK`Pky;vBOcKrY>M-s>o5HrF;~D1J<BsQ@2S1LeTxP;}#vK_1xo(FSpU>A}
zU59vh!+Sj_Co~h^YUQby#4Z-R)Yo)erA6=x;Rf2F`qDSYVhDM$TTd<Lp}t3C)clzT
zQjD2A7b+Js;so+9&(RKEWL?ZG@V@Z!g$#n;RdB@qQx}B8+#y_>{$VzB5<KrR=n8be
zE<WPE5uk6`m1<om4aA)7;%CQs<1y#^;z@7uJ*D!oJdN^}NT@D$d1h$mGnd!nR;#pz
z*`(lcG(6s}4d&szhsmv6{;s|EdN)l#Y`+CbY|_@)FHxN6R4jF4-t$&Bie^+5LE-Y^
zqSm$G(nl#Cu~+mzJo$p>e$}iqnNqY7(-jJo8ZJ0KE_gQ%<vvMD4P6CLTQX0eDRk)=
zLM{}=Sksslo8Q=5j%m>I=QWIaSN27xd<7_%x9@-1cyvJecNc%28n16mkmRwSZ%^b;
ztl_WP!0D$(G;z<s;#-<}x77DRYZd6|T!8fyQHyj0s@&g#MAo|KI87#qehxjL>Z|RD
zUDJKLhKtSdy>(oMk8K9ex$aN;EFmjzvIdDdx5mg)JNs&UyM_J~nF0XmZg^t*6UXfJ
zYOQxYT{n;PW~G`%{+uQ`T7D2`Yca7LWfTD$Kes;Mfc5rK<cqt)Z@j*bd8J}q^0>I(
zR(Tu=7{1~{lYGf7SB;0Z<e3w;VZ>si<zFS2Ab@u<dJ{rEU!%JHi<xLUQ;eD>8DuK<
zkGGBuN%Ev|%l+r?&#JG07lRQW#gMtCfh!;ePR#G@>mP)*79Mi%BL*}c*MW=JsYbbF
zKiI4zCbI`Mg&uXkrTlomUFvYC!~IgBQnpgsL)1npCq|T*@$kZ!{1musM7KMoCe=1C
zZdQKtZMg{%-zg0I^KTNwZhG80W&U_e=0@%UrYJ|m=^%szl6fK5ojz&FuA!K`^O4=n
zQLxwM>+*QXVy8lEcd@>B@0IFwOWsP(OBnc`oT8(9Yzcl~JxeeVP6XIO(qPEuc2Pp^
z-rCZql~O9m0+Y)oyPmo9mTYJ%pj=m+c%SQ<ZqhVX;+5pyuM@;>#`-hT^ECoV-{l~+
z7%G;pZ6ozCq3~OdmR;}2kAa|G7B1W^KVoEM>AXgF7l*a5aOm;dGt5;9eq{wEq%gDZ
zmq$g+Yp>L1gm_1B>YeT^4HTgHaHVtv4ESG1gt6s72YW{tM*m(>80~9(42wX&1D{?F
zBJr!`9*cOci?@O6=soJ^IuOB4h6%x%1G{U{fA#>LsKd;|67s!uT(f_lLhpu`Vkf$@
zWcoJS<Lnw7?F2Z{V+e$RsQ4~mJbtVGI|5!T*Eh=1a46}oM!RdvjZYi}-Dh*7u>@EH
z<XgGCto2Td03-V|9t_!!B#HIHkJ|aEkVJ$mT!8hUfc=zofdskNo75oe*UISY(nKd-
z`afp)`Eme_(Mt@1siai=0u0*U^J<f#6}ms<6hNrFi0U61;MgUtV9I_?t9nlCgv<Cb
zB4e43D0~!k(1jG<?`N(nCEG+rVEZTN^>k8IpfctKK)}t7;O|QP{$cWEz?fJVzM*>i
z=fOX-EJ6ML>{tBl=QGJS|4p8LKJ3@EN&kF5@G&200eXzLq`=3>O9&I(+y@li)4A_q
zFsNT|@-kuYoMQUQQ=N}Kc{A0KBFOM<kG0vGecfeV8N8-BUNEQLAOgGZ7N6$*`L<lL
z69($eFmUSy3r|I}Z>NFYClkIixXoG4)vo;>n=j|EO>X2SW-l77l~rp&+JEzIlQjUg
z^=t`ixTK)g`As^>4SS#djjIJ%aqT6PWjb@UGEAKnu%~S;<Nbf3Gf@6-(9Ep`h8jUq
z*V1ssxkj=I=N<Dy&&vZ8BNYx0mIzryk<%oi6H7V&o7i1C&qL1Ql+-$cnQecKq1k@^
zBSZ`<4pw0BWe$J=e#=WQi&wHcL3~@`rXa=ML~w9e{wHG|@cOdE5C<SmT^5n1{k2@*
ze38_0zh&{$JZ0MUZ>yoXyk89>ssxFsfqGtHxj#Q+RCPwVp%>NMKOQ+5ZJK*qXb}q8
zpnMPQ3mc;P^{)^RW-;Igk8!HJlg|}+#A=E5v<O!FI~^$D|JkBnpU-*(!+DeFj(+9u
zaLl7>rWyjqotJXnP*t6amaszPsOBn!&HoPM7m(z-EF44!^;OTm3;Jsay_eyJ?)#qy
zR3D=Ns$nNSB~`r$z6055;u@S3W4-_0=v9IFc%kzF?4pw?e;SCTS1O_cql;kppLr>v
z08&9a-%#2rcvKBk!K^$)jh)&9D#M}tdbw&TRsOX2Ee?N9e&_JuL57COqo40*5%IFc
zwVhnzR1JcdBW<WAgO>tA_TCPC$|Yn$^P;6aI2qfk(z;=I?eS}|y0_2E?gx^6R{m#f
zBA6wpLMo~z5fT>(G0M1)iw2)CsegM~)2ytiTHF$qiO`IUss*Sb=p`nZV_pN-0P9jH
zaui&dfl12%sc^EsD|`Z}MHilup}g<3j;50@|8MinLqT%Tm`CXpCulHeSvS%ypI;Xj
z;Tnj;T6tPJ^;!RqJjwlYXs;1UNO^BhXg1)o9-}cBy)#h>bgT0%6MZZuX1=TZ{nt)<
zdd?#qk%NfM%D_HZ^B8(Cs@_IX<Cb|b7x7fyCE}S;zE4+{ul2mB7!N|cfrkc`hlyzM
zDx<12>V@YT(h-ZQjGZhf@;LJ6S&M_-e<FT$`!LpC*PnV2j2@7IUfCK4&n1Q#2iVbG
z)NQ2bHzh0b$rmv1WI1QUG$*kQe(GpqXkdy&f|=b1UkSPlV%W97!SYwye(R>!H(`+S
z1;+aS2oshxy#Hr`v+4~Hn2WqRPc{CYuis~f97+;K9G^!0BmTdv4lH^D{A{c@9OeH&
z^AH2k>b4xx`hV#VCT6%Mm}ISAz}XW;y@zrikCq1E4gEgPyut7=e{ftnh~^Xmx&Q%5
z1jhf@FU;S-{|;<#3p-*)GQsW}3vxb1<X!#~UicGB3Fc^)+Ryy=F-BEPgwPP0G>a)D
z*T5XlqnSVXKb~S#O@#lL6}+<hf4}e+z`_2HN4#JlN0<L++kYL`pZDZC<pf)-oDZEB
z8~p^~0^6HgK7Ue}U@0P&C%VUSkOcNK*pu2|{M?`EA&w(HJez7zcpLr`6E>S4IZ^tb
zz4~=s*u%ZTZu)Wg-GBFr#3Tj;HYc_3Mxe5JgQy#3d<*`oO@A+hggOHADB1Dp|C%~C
zLJ+ytjb)isi%_FDbgmhHBQ6^N<4lpO^sVL5qo!Zqtw(i+j^BWuA>@B!>Hy#tI%f3i
zv$5j{oXHbJLcd8w2n&-qpk}5yA_?Hx4_AO`Wu(GsYhL{90J>;+Z%YSUI{BehU26?Z
z0&tN<fRp2`{ipXLD;;jD4$#)Tm8W3n*QZ=DXgv?u8RXhF7c~~-7cP1@yw+`64uSK3
z2Q+EwRG~fQ9T6`GH#$J!!eSkQ9Q9-QY8fWc<#jVK1nACDPi)6?&q8zU8Hulsan*JZ
z1Yz;qYBK(*aEzrVASXVZiy3LFv*X`Bb1M8{#M#0F*8gu!R&o)>1UmIq0}0YCAWL~M
zDSp{}iOKdeV(B&+JaeA_lpk<6->$g$*>@#fi=1U5uV|A?_J;hQh2thw87jHtgrfdo
zw;IHb=M$cJuT;H2!|_*4PD291mM3Bw?kg7hK*D{mQV`MY&v`2bsv+Uk-{K{prw8;L
zDX|_E5(|%Nes&x6!2cpU<f(P%7M2k}s|zrHL)AiMC?rQdJ>LUFuFwX^Cm#WzvI}*B
z;Pe5F$MJ@?%B|j?$HMD9qeLVtWe$e&$Myta{&E^peO`0QUf>t6BFKBc`PxC1@GBgc
z__z=ih>3?_aKN?#T4e+gtF<$9%>z~mgZV||%kMQ6405zz|58bJXuR^eNs%e(C4Cmu
z)A!IA+>CB=l@U8@xP7JyLuCwwYg&MxCJ6+PhQM(-zp1t@zlpjWaw7HU7}I7JzfW^F
zCTd~x6++^Hr5}ACBAn!8@zO$H@CAop#RL~b;|TYLe0g)(t(xGIH>!CMh;+Zn$c94l
z1}c!6cBwiZ?{75UjpDjbZk-n9N^Uh}a{j1A|Mc3h-wP%B!vkoE<+uY#Cg>zyXffdZ
z`1FZ=9S;9`ixu?YkW7VpA90hEqCQ8n28f=!!8S9+i)n3v0N+U9I(dsRfs&zqF}j=o
z+CZp88{%4C?iIGh<c&e{$`!ciXBdB|Nc^G1ne&I<4Evd@ypT_XRlT;({j$fCa&Li8
zt|N{=M85*L+49Tfu!txDD}j@+pOJD#)h^WMgvvCMMOk-VDRlH(JFDD+Wba=$RvuK-
z$I9LBu{@@TcDul_(hlcHFp-}Z|NPZrOG0Ylr<RT0M%mdP@0Xu~gQ#2O>ZDKvEgFE;
zaxPQ~mrTrcA1I0L7Mj2EaD+gmO7q<B68vAv6Pya^X@4D1Z&^1`N?ajA*nM>!Xj^Cr
z<*+8A^_*EVGD&rdt#Md?<AHDmCXjXsfgj}+2(X@<?1rB0m-G8RNg!w*Cj%ap3#kFY
z!m9$)(wPR^n*S-`<SvBTLX?K62B69WQ<8a$0=6fLw;%-D>&-~h4sgMm%sjusPbvIG
z{pka@AL>a$5SG$8YkegyNc>=F0Cp|mcD(ceN2Rj-zwd=x4T=P<QF#O8lAmJYSG+6;
zUZ1s}++XR*>;Ue<xcUvK5{Lc+*HCj6G73Z;!L6b*ZjTq#->)SJSLv~;_ySFfRUl5G
zeI?<vm-s)O3&mv5LA(e$Iq1FaGS<Ai2oXY~S3KSPfl0qHJ5x11E|38H=^fu(p7A3A
zr&+;?+*-%b4JybXGe$G2IAhvghrxyDBDXLTq0+8h4<6%x*V^BbzT^x{{IP?%I2)O9
zG_2)`mHwPzK>gh6{SaDPGzN7&2IGLDA<=i`)^&=g0I*IGw5R<4K<jKjKaXwr8?JN9
z>c1~~H6n5zh-*~U0d;rG#fF{-(F^&(jAcKQ*cPNcsI9x|^g$I1mMnlKtkZHu)TqT9
z5Vxz)^Z1h-CBMLxBosfGi8xMu!q5iwGSb52*d$yJ<G5vSHWL5Lf&aNg{#!h9rmGKX
zU*@sy0ly9n6yQM+lgLPnC_nao`Ti5A#@Ad}Uw{f%Q!)p}i|5w?hUVC##E+l|5>w#r
z?DMsXue)a{IJYlbYy8e#oy7^zwtrTz69bf<j6{Jis(EA$^V9ne*8c(HIJ9yPn#S9q
zi9LwovKh>qgis`KjBFASb1Yg?1b;M&<N-uL0eu;uuYj%OGDV!fAWh8qjuc{6sDeMk
zgA6VJV-AnEIx=Zl0hjWhEn&tB9#C4Bjw(u_qNjs%ZuO~i@C_`Cs{Mv5MP_QxvILIY
z)!svCH98;HI1tzbTT(jL-!@H^@M-06H@V1LEfDcSJl3qcB-p78v?v^F`Vc8A%DBf6
zin2R`4k5v$+>*$YNQeJU6zUu&WYP+fVWLQSLjc1&vRjAaN6nr(y#g?tArd`DIswNd
zfa)O%QDnJ=_#PU3xSC2L{LaMByTPgUhVnQhv-97-{ZhL)lk*RlA3?~F-2P}9fpMhu
zK%q3OuNnzGgC0?ef*ZaGHRC6%&!$)Pi`K$xy=3UlVoeic$MDgylb}X=ago~?IFBGU
z=m)jD|E>=um|#KECagetfQ-9{V+7ro_~Tr3c3pvwli){ej0P(Q#sg`VY>SVjXp;(j
ziG;(k1+F&bD@8=g0(49cB}`k8uh^i-1(gMNHaCKD2>{8Dzp-Z4{~t2;re-z%M{`)5
zqrrOjdW+;uF20FZ`af{uHoDJ(h8He#f}wi{AGv74yP+91L*ew9XF>4bNSqNZ<-M0C
zbK)G_csuJfQH~#e6=d|uPMjUjI-~965S``ZNllB0oDxoAbDU{&TDGwkUVL}Pn&Sw2
zLi_@$Hp=|j@*sixK?oXO^}XX4mq@UyDX(pIRVxK_VJ?9&%$9(3*86ooH)!NXv|1+3
zy|;%s+tFW65e6+dwN=HZyT#S_OYNDIwpgR4(RLwl*8QyR5?r+J=_aTr-p4AS|7RG!
z52^vOkG*7fGSVghOpG}6@kus;(;JB>hWK1z^#`kk*gzYEizYXhAnxJ5sfnPNfrt)^
zCxt>Qv^e`Kz)bWKEcFi+&!OYq8Z$=>3BtYSZKeET|8t+^AoKtYF&igQQn-WBCLUK3
zUbo~yn6QL^I)AO4UH4x|?X`+$jaKwM`{wR+MZtRjL`R-{9R7_aiUB_O25~<F%U0e$
z2B{dT^UjagDtw4SHw5PcO3ANC>2FU2QQuJih5iyRv(qOUM}V3%6V1itsPKWYe}@Bx
z*`S<2^#|?)83<+1h7JVt4(V)bEDxe39GFPvG@qxzCG?jA^IZC+Mc+SDSEBP=<JUQc
z20SYNUsEr#916F52dqTRx<8fYpRgffv3{>(q;Cxvk@1#~lH7LX|GsMvi9a&t;2*<W
z;ihL=h_cwh3@~iHG71$S+Rv-QWml`?gAKgH3iJ8j#niZg#BA$NQ^MvwOAA)#938j`
zbCcE|{(KeI%!$x|+4h^sgb4N<#Li1#!C_;SsQ52(MaV*e0>=iT=&}Mxh}J@uNMgVN
z0{j*_TnPm<@W^>WaG<;*Orrk|RKf~h;?RDZ;2J5i2rwuC#4dxcafJm0(hxyL5Rkp|
zkJG>#RugAa6`M^r%Xc96Q^>@?MLJNu24?tQX9r;X5M2J$2Zjr~(+5rv&g2yM6%Lb$
z`(O1<>qSUFD(314h<GC-2HD`iB7_;~C4&z_#*nN7iHJW!n@o%fbl$E2j;+{eqyXwe
z0YHdCj91fN(+cnoS%`{@9|^j$h^pLQd&HI`0gHeK!P;*$J_uR-_8f><S`5jTU;a1B
zUq|BqjvoDf2RwpO!jbVs`S-v7o82GW_umEleYlc2z?J&{+ed&ghjh@5Rw|*~Tsh~$
zAW(^+yp{o{_7RVX$3G+SmzeO=QBk$%T$j!oV}m{X1O^gUz@t2(|JD-=V|z`=Q%ywh
zsQDX}BB|u;?sy_dcPVHKhpml&9mpzFw5Pd5HBdy^Tr43t>tg?O9ccjP3)EF*X~L?T
zC+IXG?v7upuApQ9c=`vJ8@c-NcYYMb_3LS$iMV%mT}XL!UFR++KMQ!|QzEtSe@-}C
zKusoI`AghsRNU}S^g=3HFOK#WzQ}6b^jU%UDBz2KUwr>9J{n4N;QO8$xo`fRHEJhQ
zr)^hBBS36^Afiei4<7UWH_KAYJbwY-=FNc`jy~KfeWC25;!=Ie;b;j~jL&S+3`PGI
z;whp&kGZMqEq((p+OPIP6EV?yA+)7h<CXsLyUwCi7D_~eZV;-3k|7Il)F79(Z&kWv
z-j#a(tmTSj?HbtSdOh)!5cK_f0_rg9&o|;+x$95(av3WwO0g@(3RbCs(K9do5b!21
z$02uVwAE4w05wSBZVXp@c!<_C#G@_&djI!Z3YCy@ub48l=?Fd>`%&68{k=j?GTyxX
zDBVcNJ?<Ho<^BIx5c(!k*t_=Zl!K>Pge*3Q@Z{P-{<FVp@>_$c(!#o;czq`SvvYsO
z4Ub?=Y$npU{I^4}w&a&3C>d%=UJH5}w?u)1pa_1V`>Oj#-Qrbf`*^R=Tw~R;Z9kH_
z>Ugt-UF)M|qZo1dqdg>&xI6^({hyEHT!xOG&w+^02E2)zdsgFBq8l#o&o%l4r2@!U
zD8=#ZfY<k>azw)bQ2*NzW_6_j5jd~pIi^O2Ha!%qfIRdEH1BZUTUBE9uHj6&04Vte
z0`Y?ZB8P4%Ro>MADIzlX`Y>oX%i8|`!m5b*@p>ZpKbvcf1s4hzt&GHL0ARcbSdD`<
zxvJWj&iLq)*@Vh_*H9QK*QI=}s#ZIu_*@|C7T6iCSJS|%Yjh<wqbCpe-}w-Jl`&}k
z$SyY?iY`owpkx(u6WRru#xPe$KRc~e01Y50`}_t0T(k@GvLlAThZFoQB^aUH4!qFV
z9<0iD>mNXd8V!$n<dd-?HQn$!&$O`gE#)}AAY$`0`wJf}FK%M^%xCKq;K#$FS%gm1
zYgGUk9t+CjOu%Mb=}JQ{1T|~ns4oj{)x8l%J011WbVZV0%lqO#%1H-++_VZ>fCA(r
z56X}pb|AB%2X*4^B&WYifw)U3-l{RRaavd$UGi7_ejgsHl8twHa*4->0)3(b=YChD
z|FeTk^m&F2Sa&6TGm3r8Zce0RgjSi|XC$-da`xV!m}Y@6#&t<-og)BDii$`s(f=rW
zy5fH**~@wNvu|dK{mskHq@prHXj*VD8I=#Qz3n37F-gvX%gGPPy0b{nS@{Iq8fL7B
z!*~9={f_Dsce#0$UM&F*h<lf@7<9jl>Lm>tExUQ7*Dqwu5Plqst+U*C=g0g-OJ4h{
zZ_y$JrHuNs@KdPSLY_p8ffP8;75#6x^C457)0Ro%lZ8$?QS_-x)vFM0-$<huvvY*(
zc)=Isfazxko3mf%Uf>G(J}-a-62A@gM!ao4y)|_3pfayZKLBSXErOu#?Rq3Or$3QE
zNtjWZAlut>kHZt8uq^sm&Mv+z-@y9CQz$G{pyp-U3{O<WoWg$)xG9^y#o~%W%l%Aa
zk~P>Y5UOgnmj<rP{oE1Ncxr0f8e~`Ei8p}Hv)yM2eIbME?fPEgoDbH!_%#As?5e%N
zK0*qt3Bq&5g8y@DX-SYrLd@<yzWec3`AXxM!CPYMj){VXHn~$^%sR&!KtO1BOy5x=
z?L4U|9WwdyrW0CFLis7>#oL_5X(2)$TAb;%gvJ+8MNkB`FEO*}S)hv4rF<aem~1SL
zFZY>b#V5TJOpxxGddHf48-G!;s1rHkoG^$`P+)Z{%GTHLr)<b1*XISZ0t+uPsv+OQ
z57hk6ctspLVsE7Pn7IszQX?@#<~J42li1nLgme1dj?cfBPyE_oiz1j+azM?0*fl;>
zknMu-U4m}lYa@N|_(n;0{sgMYgqig2Ip)#QQg)iF21wLKTor|j>D@Oj#>)h+emMZ@
zFQ!B?W@)<{7sl=P8N<@<sL`-`2KWzr`{zak4dzX-(EE<a5R;X(|C}jD{3;FZ#z*a_
z_<O=s$3YxEGM@;)`!_W1M+pX!L_caYkMM($e1EO5NzmOa6v0OkQyRo3gkj)X{bl;i
z{GqA2gh&DL@hcKNgBbj}C-Ig{RCm5SVvJKPwzDQ0!9L~KO%#5{#oZb#viWseFP((r
zwm(XVoI%b%(GXCIW*3m7xYaKdPx=xtJg<G&%%%9sA(vN%Pu)L$Uqt;b4zBLg=2Z7)
zPup4kSacjeN+tq^jQOmq+b>JhQ*!bG1uwN)-CUuPG?gx;*1FLXbUYyLQ`C8|%zk-<
zc=OYkl;=`<SpJ!y*~?=xGSDA9<Jh!~=on(=`0f`5oU=HMq#Beh4-(c~ePX8@BwzXH
zUvQ>ze<W6c+N_l_==SL!BMo7?nPAe+<9o3%G18YsI%?HB)jEAOH|_Sbcy)z<l_D1j
zON(t)ooj|g`HrM0LkjEjk2hYZX{=`xzKU^F9z?yB;jJ2_$wJC|75QVRDN7m%-c{78
zTE$kh0sKKSFRIZ}vU%KDKU0bgX}jkl(|+kTH^;C>C2aF4-&nug>6m1fXmmEDKUhSg
zk8geOh`;XPzGDcPJ)bJfjrz8T^@j|?#)hj7onOC%3OqEkH|t@MGP+I5;SwH@$>k)q
zfLGldfcp|#6>DPu^d}?VADa?#**83=eetiN>S0|Y-KqUy97+8nxGrdc{(Fe*LM&~c
z+>Kk|Ui8b}vjkWXEb4DVgO3Pu8K#J41J6ALqyNUMaNnNmftM&&WLdAN;-g#ojz#83
zqS9fJ75W`Ee2|ywRl#$xyql3id*vNjp91r{mpJ*&7h8JeU(GOzW=(ZgT2^N%Ff!?y
z*GYKF6mI)pR*e~wm`x^d{+j7E5e+@PW9(Ag9VT!_TfT-`*Py@8n=L<=#3wK$psZ75
zcbzF=z<Wx5C*UOIbo2{$f$-jPl=l@9BDBX`-X!j<fo(P$yw2+0raJ$lCzAa!Uy`bs
zH5@nj)~6HSWygrs#xM27$I^I!-b|EaIDy=F^hWQh?kg77&9s!;<O=<<T^V%F;j3I3
zTJb+#zM%qBz47_^TiMYvMMa;wFb;UGJ<OA{XpB2LccbXi)-6+^ukyN+(e8#@Ee!^X
zq$D?L#cU5V7j&(q4n!z;;{F&lzwQ#R=R{_q+c-JX%>fh^5hwERbKg>Jp=KIX1j!U(
z5hw*MQ1^AKW{Z%@U5_v3=x7`SXo-5_rD;BS+D8M!ntbFb1~T5Rv@Guj_$xbnhaSH=
z`v1+5|L}j7ovUB?rl)tIS+z(gA=A7%Rd5k#RTlT=?psN3L*^-!zTRisvLr`nXW0b{
z;Is-#Gi9mz0k)`fTuMK}oWp~s?^`W;G3iv-GlkOTH-At3JXhPr=I6h%<Kit(G;N|T
z42sJhZx8q^+LE_M*Oliw>yEDQGg7>AtkyGyKEuYhVNESyLYy_-VOK^k6VN;D@*EE)
z%=*HR?wxtB@#Zd69{{r;a5UEIjzVVfk|k9Q$=AM2+Q^79+6H#M!%jhukB^I_gOcoD
zvlRGrxfvP06ze+*obHD=(4owy&I(@Fdk&eY)G0LV<otfI<1oj|n|aB*Aj9~`VX+{E
zr6~LAiri*FqwAaxdYmjvtY(^~bkFoQ(~?FE0>Ih_O9VW;t}H3>P2=7*eaeKN%#1Qc
z?KL;7%iee_YguE+svNl(W#|d)ngvr>nsj=#Osle-y(Vl~Xs`HGneoo5(A5);<a_Ol
zU}$Dq$g}^6&eIz?NJlw9BTIlo!DF!nuiKOr5(l4|SCws?xOd9h&kX9U1+n+|_2m-V
z*qUVXgKu?IVhI9QB>|I6fh8t_N3wIYwXRK=_vfz%!}i?UW<M3$Wu-dyZ@hYA9+u$n
zV41WpVu|+JCjuKzx}S(Mx?b4;+{@mOZ4vY2K*vv~<vV>1ALV+ToA7QuMiedxU|IB`
z=aI=3nf%FaCuCaQvOAR@=S$IdeZ^7$>;m5gUJNg<Qp`TvX5+35_249>Hl!spu>NHL
zi&573l%x$mdBeZFbeq`y!1ddu`MYWl!~iFqqV`sm*7P){&y1H#4Dbf-F8<M*J<mC5
z&)v}D_8m_qJi_9l29_qHr_-%|^121Acf2%7sHdX)0k7<e&kV(&-PHGI<o{l${p1)=
z|DpWYubruvPP*jiqa}IZZ~`MIi{L5!Qa0(evnHKTUXp!f!$rQOO%GJhv&$va>;(3f
zqJbk_Y^gtZ!{3<5B?Rs8_2j=gQDRpAPuOXXu+#%gcdUvNrp$3{3Ca~&DB<{P+5bf?
z!1KW6j_A1B2^@%+Yh4}(9H<BGpKm_WYnfE;T$Q1A<7Aujwl6^&cVLMtN0z2nJ-3Xf
zJT+Uw(tKZ|cJX`h=I*=uFaGtu+0SBdt91R|Z&5o66lYG7?fS~5UNB`};OnFb>UY|n
zY0Ax4TYU-94}&@Iinqdx3oEpnpYU`};bq(Z(CKf|f|O>SV>h<tMhk4~xRVlHddswO
zKX6nR*sZwa1KPH%DRJ?1>skHIkBc}oPd44K>DAP{daMLX-pym$c~#YE`Xk4`ZSg^i
z82DaI{{p;;5jabwcQarW!?T;f;kaq~@qX1W?kUv1cKM*kC{s7t$l~VOl)blL&V%RM
z#zR6J>#m8sJe~XDFPmhKklIqvVG7n|KAE=73~KHln3Gjl3xfV8wRbf!gt0A8_=?&x
z0TxVL9tvLf1Jt9;Pd!*s2h`)d>%IAuQ#uWmZPzP+t9*cyfsV|J^8@!hJj5qn>9O!+
zfppIW^&qFW|B%Lspw5wUR9JOd!>qaS)KarI1+HID>+XwR6u0sH^uK!~qt9qHIQN21
zMA(`oYBtNvm4SWg>_w$JmtO7Bor&6P2bp$azQe8qJXOXX_diIp6nH!@xSw+7`Ioj=
z*H?#Z0d6Yr^Ef2k!?uk5<07j!0huP3ZX38F_dUVE1RPLsydPvE@#h#fW6$;Nz`=iy
z`&Fr#f0-=GCMq|9W>|rpgE05v)^ASCC({=Bwnc=2Hq^ko<Y49m{>Gj~MjSqMm8Xs>
zrLO~aBg=pzmB5bt&k*l<Y#a}4vQ5ycJ5VEvhx3p9ar3qbO*ao+W&i?DS3j3^P6<r_
DHm3jI

literal 0
HcmV?d00001

diff --git a/chapter_stack_and_queue/deque.assets/array_deque_poll_first.png b/chapter_stack_and_queue/deque.assets/array_deque_poll_first.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dab67eff3225056e3a99120e67dab7618c24a9e
GIT binary patch
literal 63228
zcmeFZX*|^J8$LXQEJ=!lETs_1UG`nsLXv$a$vXCZUrI=!lI%-%24fw&(Sov!bxg)u
z_Fc?a#`avgbKk$a|MTYm?s@UlhZ)z*e81Ovp2vBd$2rd*+*hKeWTJ#XAk@lt<uxG?
zQt*_xhnyHZ$g-&rfd?WtO{F`K64b?c@JFbnzOt2?8iWTtCx?&{orRn@dJFguA!7RV
z;iHeJ5HbJrT$70V_j|xK!)+lXzupgl7=p*6e-FXW(P#dCJdr{4?-etMkKauS$vAQR
zoVW+P8xkac+aEkoINvpJgFsGyKKdbw<2}s``VCQ*zpd>}v^07$K^wh)_;Z=6{(9rx
z*PKr%d34WQQ@r{v|C`!%8@epzfqa?gWuMbNb2DWfpfC6-zr4x$NUkh|^ft-u2L*jO
zH!P`!tu_ybq&mK@bS^D*F1?iySoQI46_`!)TM>iTPXx}sO*SwxO8!7aL~=$J^6#$@
zZH6xtjZe{N^z`&}TwI(Go?ijwYiVUwNVefvSZ>Qg-RP=vIT%7r&i?N&_K@J)ITU}X
zohc+1!^8LX_MSX>GBPr9X7pAvwU*AqwrG}|oE#k;9RmY{x;Fu0M!B75_?2(|_r^pd
zcNj`tV9Il&O%0|_rlzLJ!VXx3!?3+R_8z3D$7^x0*zO&VCXV?EL|9GlW)%m{@xj@D
z`~B-#NHFmMQSNgQ2OKPv_+jI{!0^*7bYv%s+8+xu!tIhaTBDeS7Lrp_9kR@<Aw?T_
zjrd-T#(N))b=aO7zmfaj5gm<<grT%Ihgw+e&i9i0+SrDL$?>oY-zI<B2-ZL`B}r^7
zrR&W^&I$@GVbsj-Pcp~r%*RdOga_3tYK*z!=N6N;f*IJ){n^3ul-wga)H5a&0t<`h
zPVj2oERFUABh!KD9_XDq1Bs7|bHG+AUn<E29kl;p+Bh6vsD(vpy8dU4z(phKf~lXX
z&B46RQDCTvFi1McV$R+TlRBHA>*-|MWX(*wCdk0X=Yc|Y_F;i)7wjiZ&*8AQ9~xx|
zToCRm55N0Ai}!08&t%H3&1t?bStz?%O7T=}1m;ydD`b1<GNDLR+Foo@udAo|88(MG
zeaQ3vo<f7K2*1faihlR2?ozwGp-r0>5u;fb{<9;%MHQR5N(3+EebpwqdJlVrj)wPr
z2Ie&J@P!)d?lcs>IZBrdis401zYKIZwZyhBE@zyKpm1dV^D2CFe}$Ah7j$T_{b7o>
zKie*1@evVRn?HoDRf=InP}iS$DE0HMpY-mjy`*bBGoz+`x(oLbtcHA*{~Te@9U|s%
z>?<t_%LPkU`;R`CSo&;A#^|Sb2CBLh?Z|^YWV?4gqPN85%%(9IGm%*X3M2T}N<9zO
za?Ag7w#tG9rUY%Z;x0ef&{##;XtQ;xY7{>)cvh#NppYvo2PsO>*WvE?+{lw1ua+z~
zGn$g?g|_LRS#RL@_t5-3?<Pd&ypzNo&J+d@OeK8LUX3(Q#pp!eF%%FoByy_vTz0R#
z1i8V-r=!66Luhp~>+ELExwpb`*wDtXplB(1;y?EnIf;D{6eSdrM=cZgS6PXV9%F3j
z_u@wnNgFsJsJ`zD3wCNR5#b(9rUaX_zIu!stZTlgd$BVte_kh_Tr^8V=fV|v^rc4o
zzo1WzNgF8rJRD6R#-^r@G@`1!4oQpYr90w}O*zB8{yfN;yrsM=MZ53{tKHtjeBMgl
zQ;7E^A5ByBMM&$)%lqDvA2{B~x}}of6?Hv1RP3|FpKD%r?yuYV)T#lGG?U?>-Kyqr
zLmd&~qHvC#i~UOdkCJ<ov|6VYZ*jKyPyHYL)~8B1gC@zYdnceG#HM!QUekt&IsEhv
zS+f<QQe9z_Y37#nZA2|(_0O~Z`L^t(LhAc!A4!VqDk*%`K899vT6;n4i4A8d5Gl5G
z#l3IKu1@ycyb<zW%NHCR6a4qbc(P)AhhCc`TTl)}K_p%f^z2a8E%xT=Z~W!|$GjfR
zGrJ=(r>M{>rz5()8|@H%O_u?@KdEx#qTiFRxShG{%1nQ*#y0sjN!|gQTJ%_#YBAWW
zYP)Zt%y#{!b_~y*{bM96bfxcM)K=*G$->X;Am5taTDrzrw7p)|`16hAHM-58D^Pd8
zDc0n6Q4^J_i?Kj?+Nw-)%>TIJJm<tIm;E-E09SvdVCr`jl(C*O+05Mg3jZCJb8&D`
zkKGCV<iDcESs;tSEZ2nF{3GiS)q<z~7!DD|c4!%;YpR$BQR&XoxqX6v=%0q1Xp3r_
zq+%wE!jHL_$WyU(WtE=q|Cq*zU<y}<{NXc@-S966`B!zKp?|IojD)U}pj4Cl4BV;v
zrk+r0>;H>YIJYVM5>j1y<G#{=2PE4(O-#~!19@AJ=D!1A7YFUVF4^b**!S^NXCU=^
zWWAFAZ4a3vKLb%}du{lK4L80a3t3ucmf!fJJ(EKga*;*J?)HDX<6H|ND(!GO(<S%c
z_K0W*k+b{70@D9>^8dc`Q#B0%{|?pWxvZt7rLyvKyZpjJJ7uYq7Z74vswn^pW@i_1
znVFdpyx-+XGB1O^(kt>D_Z35t&=X&S@em0k%SjJDU`j$hCkU(D{L9>#uuoo--v;Kh
zj#2QqtC?3b#w+lVx()+RA;i6B{|dVKJS1ycS?W7wDVeD8&Gz5MGI*GD;i*}sS@k$4
zHXcDtU@oL!vK<Z(PtzwNp7=~~^Y}gA5ls*aWUok$B1tAsvsquhtERyPuu|p^HRyiN
z%?N)p|KJKzsqzdFABEMK1h%K4U~RZUQ(ycKqIoq)?5`I$SS{m{$_2TfBBiJJ_k@RB
zApfg~?u2&X(MHsi4~B>;I9?e&#!eg$(-2R{h{<b=gOP<`(-dGOi6^uhD{y}Rtc=%S
zxj0Ts|FIFX3qf<?m;vG0fA?_D-C#%!?Mb#j_K2nqxV_Hm_5C~l-3&HYWFaFFPig)*
z!Ua6Ckd#8NcY&Aw>wW~!vO^p{e>nNahSjELhulX?s3QNkD-*>Th{%tL6aTf>vW1jq
zAbAU^IcC4_`syCBkdRP?RTp8sga3puA=#;EsLli0Ecdwe?gR|plq3@r=;Goshu725
zS^ie`Y4WG2`cL0R)%Y78Gu$SorUxwyX4-msyHgvqL?n;+zz&0&FZ^>jlNj>z^AiMZ
z`{Zb(rp&ZMemYc-dJb8}ccn^T4s8V83V8*1yc8=wW*5T{h|TZeY)y+L_0oj7tR9J<
z6HjUGC;Vmp_03h37U%sG@5v~U!1b?OsLrpkT;qPLjmVuYCtORoK)N6?`Da6Ru0e*3
zz<=f@B!bkcJFU1>CC_WF$NW<mwN~!En>x0oKO;Dz=lXI~KMRSZ%;6ua2Z%#|78U7G
z-BO7ZXiUQnDpX0G^gX@(+8S5ONUFeBEF;!!R`%#wt7}Dhd9?UKevjXozmixaJeRc8
zrSKze-7NlVA4o|_3)QmPof`4)&RVAjc-}vaj0!(}Pnjf>z1ggmn_ZLi_ZnoE2G6iM
zVJi#Nl7*#waS^^E^ldXUGgeks1Wb|5LX^mu_k2#gV7RUl`c#Vs>Jby;;F%l&t|fOJ
zg_UtQDs8K2<8x=~)kIZf=U!l%^=C##Mq64){JVDxilVgA`#7zDi=xgMWBb;(dH-@8
zZ)&XYe}!{tW7+y}lC8+F%5JQ|hk&|sHQj$*nR=UsO<J;OPW;Q&&i4ri8Nz-Zl<cpr
zg9G^0HP43YcYi+{$-WR9_uuFWI@}!x;YFh_zV7f~H*1)fR3YhPJ$P#7JD(#h)SW0W
zJ7k@{57rOd#)B}QCt=~lcQ0UT)Jw=Ue+VIM{cQK9^}1O=rkT;xt%=E7SWg6-$?G-W
za;v5^g9hOWZ<CopJbHHYb#H;SHq++kbL#$^L)Hg6M^}h93#<)lay9k-{;Z*)AvoMV
zx2d$}j#<D+x#f#7A@ZVlPQBy^!*kf6oenb|v)Ew}Mc8#mvePcI4Ui{&z6LyJFyvcR
zby(Q%<0N~T^gO@m-u7e+uVR!5hu}iKM*Y^9AHR&u;Y$I*5yP#%&AT*`Yr&omH3`ip
zXqJX5tXIbxh5Qf)4_n*gcx4W@EpotLPUB6S0zbBjo_Xjb#(Tvaq-C{XR(fSD7RkCI
zHec=xm2i~oIC<!d^`CQq+6lu8qBJ4)3j<!%OtaPallN?f3zvth7hnDO7EGFw80m-a
zYZT!4DlTZz`ZAhDBFW`pfH63d3uu_vihXb0qUc_RxP$^z$YTa@);A^Y?$Z8k$=KV8
zDQ^ok<<)58dANCac>3t(xXrSf>WEH|8T&0)ZH>6av?f-4#u#UMEDoB~d!pOY5BFx1
zm;%NFwroe?!kXe!ujDFOw_hu<YBabv6P-+PZNJ9nps8RmgH=GhNt)!}h!!37$FaH;
zcB!X--u^imBenT$VqXWhC}WIt7#1GAom%6+<Jt)IH?8;CTEui~3;E*az>@8FA$Lbv
z{g&QC^gpZ#VT?CW606*eV4is)rvqEql_oczGG$X=yu&_ELLMBu@~-#cv0o?-)(r)C
zNDb4&(?!MK;Jh$U0B<7Ly}VKI{R7pF8rh0ede>xC?zzUPH>z|m6B!Xm0vb+-v)imv
zL8XXkSqAP+vYEN}Dj0@g`#60HQ+Z>ce$<ru=9{?qTkVJ;xiPu>`O8=?x5@S;uk@l}
z5tzN7Vz`uDbmKP(Tte8bw4|b1tqN;3)JUbc+^|Zuqt<W$fA?!^pOe%Taon$K?Hvby
z)UC`-ORXhfKW>V#N#;FkGho&m@LZT?^o+E|sds5KT6b+b%^;{5(-fIGXZ^RIc=>!n
zd>fNfFIw&!ei!5RXtd4)-ng06m_M{;-~#{J3u$WI@d$#~uZYKHp+^t*SA+0sZGpSX
z)<^re`)D7xfqkq6_HpXgGu`8T{E<Wu0y|Twm3KcW<YKsDiuaG_Ryp~so6sA17rvG7
z>%1JuQ)lb)*Tum+kapj0wk=T#aX1)n4&;^V-uRNw?WX%`1Gy_eiA}uNUFtHn-<IIM
zS+D-s!Pr)H;X@Ur<;H=lhLxp{+)S=c;x22VIq^d{*H#&?KZYJ|{Azy(ismw#7u(@6
zQXkArtUavn_Q%=KEC{{0RqZ6mCh#KYi{ZM$3?fP>Pw;K`&Rk2;>g<r4+GRf!-Tuw_
z1y2*n=TyP<UaJQ$%=Yf^_3Agybg~8Q{iO7bvqkti4kL=g77y|8AP~zAR_gjC+cK^d
zSC7@%^sdl)yKxt7i5_Nzp@k_qCJc#)A7aLsn8JQLVv2L3z<Er1Iy|e#m<2VSj~5rI
z>dW{sn;uk>v9-I3)Kk@-`N9!1AZ{*Yq01Xee*(H#6k(JgHHkEUHf@MW`F(Ito)ohw
zQro>!X)ikaiNQ+=i4TX?FWE*;?@fA+&v{{XYT+_(dz+H22gK@cc^--km(dN)SgG$A
zby37yPR$Ibuv0i;nr=sjdC$e^nU<+1+AYvIh)f6F-9UGZ*mh~?K_nl2jtJNsQfdKI
zN$5&ELer?m`F$Vua0i&#bVL}dq_;EGiHGR(-E7(>(G0}b*a03O7I}T+Hwuw;rLqw&
z5-6|x*~%P$!^EyGTf>Z0+mpklm>(V3VrYha1F116!mgaKXYAIP^${uV^S6kNZS;O8
z_4r&>>LT$&HEmSlfqL@%kkey_^bZDRjp_JLB~1;^FRBl3`+h0qvp83^Lz?zI&#L%<
z6Y4X%V&-c(sBN2Bb!|y(?SfNGNa7gNvz3|rF)6v$0mP!6wB5U^t{Bnx8U~G*r5g**
z36+}Z>wCA*>s3PaM4C(5sLcF-wzTgM7UB4Zv$?3tYyc+!<a3cjzwn=^<T72)!&N}|
zRL$uzo7plUgnvYqW^&$#G5RT6*}5oN`m9VLv6qF~4jK@jSZA_ycd-85Wis6(4Op^f
zYSMKoSa&_&YC)J(Vi&pdX0=B*N{HWSd>;n)z0AQYVX<^|2gw|3pi|xJVpUx27-Wlt
z)Cj{p&`xP3EY8j|?W8+Fq7Hg2jGoJ7v!CnQNG-Kj+{v1S+Dr_Gy-j|uoa0cjwOH23
zQY4kpNq#sA{Naa=?TdIH-*>|8zT4l!1KQUB_W8jH#w22Q<Da;O<a|%bU3KZ5Y%zq-
zhE){xN)^VGiD$3$U|O=xo~dZb3AwMk!<FjZ_v(^d3h5nX5&LyxL>D8(FDwSOEG7E3
zUniH)hxFc(;mMMQlyvcTaxY|ecG8;-_e+JRYBTIFpmU#keVJPlTTPIoba7xz24+pK
z7cR}|%)x8Y7_hqu%uGcwWdiwP2f3Polc$lbiNfR#5nO>2;H5hNlAbRdczz6ELwPd7
zhwdc_+J1Nv_T_;D8F1-b+g}YY6~(uI<7y}4XB*8LBMSGW*?zrH)HFfk3wJO%Tp9sb
zWO0#|__1kKs^7ATm1z24a@C`zE}B<gP}HvyD-HH{w=mxD^JFLILoPoi9lK5GOio0S
z$qOdRMBVP6(CFit9`Dsrukqs4SV~GtI*P?ksjZQXXo-~vcPcXQC8>d_Xj`+Z4$(PW
zm!d9;_0f5<Myc1$Wb<}DlgvUP^g6F!^OV-U#?e;hqjNtk>)ZKcPoq2PfrH=t)^u&*
z<rAd-(RLZ8e$buA;xcxbet_Rh70afTWzPj@=jL>d>oI1`P$qJi_wSb4vN4zkp39|6
z2xG%<Lyx{<w0x<^{8JmN-#v?`UZWoI0<uXrEyCK}=lfcg1V$dC%OoGhQ%dk_4wv~A
zZx)smJAAo5zCSnda-9Y7*kLwQsu+WKUl6JY#oH~|%<a5j;2(6$h7}f;G_0$*4N~Cw
z)0qU9;QZ45w{{{R#AWB%A<<QT;eUryvP=}*+r3uEt{Yc{E_b}+)55{p_Qu@%)v(J$
zU$fQHgy@Q_*{|Jc0{+#_%|u2-lnaiqi0R~ms_~b<>%yOAuI6p@Q>=FL<FgKuQ?bVI
z^Ni_e$54&YJFK?b4F%!%#@@??lfmVvD%gCcUI$y^62|$A7Fw&#yuXt+E)LyA=r_Ae
z78PAL3MK)&MlGXPrpl$BhvA<{M)O|tB7Whgf)%-jpH>u`Ow-V5JI;!<dI84~Q7O8-
z%E|!)X&ITIAD^F#j5t5#@juv^#ZO$E?e)%U98=UQ!doT09_v)BNQ3UOy)EN~pbqwg
zx+4Vac30B(hk{bNFK(U|&DPK{4|wo$w8>}&5vFu<`kr4|o$Bh#%+tPtE)M1r%ueAt
zITg-F812$f;$-?D!})_m06?aZ2Y5I=uWo{z!!QCp>61EaX6ssIdcgGt#IHXAkcvi%
z>HVfDLg?rcWP+MfWhE@z>7;6_)shLL?~_(wtq`ysMslOQRz`e2hEf1Dnr_Dokb5xE
zi6kDz{=J6!?(*&#A%=G3viw!ar(rsWW}^@C0?;q(#i1yP#I!n{@<jTaoghgQ^{uX=
zBBO8irejhBKgG1FMXf7`_)W%?MqY?6Y<*R%Z9vngr^NLzOMo)+azSOwthTOh(wv@z
zEANWb-rA>t)(x8cpdDlD^{KB+>YHDuIF4c-aE1pz4#fOE!(X}9;*om_pL}yieHCAy
zg$@>p9qw(Yq4<M#RHX_rd3q?uVigG)!rN2(lcnaL1UU<OAI{#I=uwZk|Fy69(qPtn
zm(XNj?8d?si5p8V1L;p;Qv8e*JzoUw6ft@^3}X6kHL|92TE27Y_E{}R(h8i6WgAp-
z_+0#~{)2i!e*PMNhF>-pYZRk^BD8ithR1rfaZCE==Q=0q6nLV5H9`^+J#i8}MAk>1
z{a*IP0kw)8f8ER9U7u%vU}Ut&Mm3ZYtSVk*=e0KRfr{aV_M9Jx_n>;S`Ledw*M+S1
z33x1>q0r(b<wD(hHHDn@e7zrH2j$o?IoI_4qX+`k-ss0-yuabc#0Nn^r?2<CLbVrm
zp@b~Hc!>EF2ec1tGHLHGBBz_YRjph`wKA4EhJ$QgaOz?7a0dGwgN(j+cHgDC-T$QT
z-du5@bx7%*|16PqF9Wd_nG!8q4hSQzU6$<q-+}X)fDkCWQFug!{_U9WVlfs|ouB`u
zmPoS(zx`IP3gkoT2n(>(9bkt&0$=`R@~!E|&#PT&Mjm?JFZ3FBSqyx(aNwBU!ti|^
zL1^5DSI;)T%)Bqnuzu0+^}+UItEm}1X+o5f)nqq-X4+#rjx%*RiOfwH@(NbbrDd#0
zmR3w_&gGrT)u!FkOoH6oiAl?Qo5M~g`6q+4VK4COU(<!4@Ag$%W*^M4actlIl?ZzE
z2AI5SK1TC&zXQB0ip?@8iZT|aQFJYnDvlqnL<BV`U?kGDDL%<=n?Hn1c;Si@%|`hx
zs23%@O*R|0E<KQk1v(hzaH-lZmVY`eaosx=Fi*UCCEAH+@@k-$wwgmuRB^pCl@^lO
z=oA1f0kwBqfXX`XkD1&Vc~$5In96c7yoKP~T@o}8uRMSrJWBS$pemndlIk1-TT1dG
zBaDr!JtZ#U2K%c*VkuvF^Eqi9mpQ!}VoH0DNZ~1wRn{0K+s4Hl4_<87?NvhB>)DuR
zRH{D5ru;VtluZZ1rS@UPtl#0%G5zupP$sAKUatQ^yeMA-K<jOFl;R(}f9R3JD!DNI
z$5q~Fg7bIHi8<;w<#bHxk?Vo>e+jW;4|^pCkVcwg!c0-eEq~*=GbNzC=F!`KIFrA5
zoVzN3FUxLl5d4E*W;X`y&Mn->r~a76c?*_S*=N`WkRkueR>{_Y_V1AztjE3k9XMVi
z1!31ZqSxm4l-<1<l9ZHWP+=9YGaXN~i|-N{w;!z&ns_hRd3|g?vA(IiT`T!zz&Ob9
z0g40RKCc<mcCKYpPgnPbX@fUF8m4fsWo(s3QDWg4aIF-&MVirLo{{8@Mn-1lqrPlq
zz?5`LZoE|ArN6NF>XuW@_pqm@#lOtj)CKGfr@TRS^A!|y*(9g?9G0=rET^R#6Q>6q
z>;R?(UFWfg1aZ;O&`_7K=}m_iR;eUDgl&H=V5@cjPo&!=VAUzQ+OTn7dS}Y2I}<`|
z%MI2tOeFQju^;Ut?@W{01x$#xn}quuuzz9Kv~m-20jtI0@|o78&RsbvO+M?rrOuf3
zOgs+(4OOySrZS7aY66iAI`9_?9LU%3@$u<;12`Wk0#OaX-hgOeYH$t=9AzLP6o~HQ
z`Wde4ukCGgLoaTZciiac>^v2CS&8<p2v{%o`biwa?-jUnwkKr@4b$T{Lfm@}TvSTR
z+~JSxh^rzZA`jnYE;fNH^Ecw&a8?zzBoP<Cmb2~`y5)~C@e*@;bHil0IJM4y*2}0c
zo(@wqV%nd>4hsq&IaqcJ+v*&zw<rnnvTI-zZ<&eL!F;XR$)V_;*-TViNK1m~%T=|s
zv>fnZ=z?{N4TtssAE!;U7OO7pbGW~?IQw~Km+PKrF<V~9iIWHO>Oq7_w!>{OSxd;n
z10`0U?4a+Zu69r;zFM|%Zn)Zs`?jBcoYsYqZ7TW0@t@mUA-tE5xyoL8?|nSxaHl(n
z$G8m5vsbhBktzs;<ijcNxWJt~fLGvAsm1lF2G}JFSfeVsrFTEk$Z%imOGtA&TXZ?!
zYdk=&cRQ5goIgsXBqq{3XzTl+lZf816`U8}Ijp~RlUHEUdYAry(3AOOM3H&05*p|6
z!?c)-f5`T}7<BxOUkTN@MGPFdPzWOyURtSNJ)Ix}ut=9FB0Lb6#da+k{bLMc>bKk}
z(5-#FF#Vq2Kw^GLiQ904&&Jf(*tnjEGEOu|?22{BzcK|B%w&wr0f46SBf!>sZm)f(
z)&2-VaTO4X>r_8IPEg1`A*H*!x9k*@EFDmX?JYK{226)hmg&Y!*KoOI$2oP$_pi1A
zsr6F#oRDdr%P62h)Hn3HMJG>bIr#YOoB(taTF-2LGUO!dw+id-u|_{=bI(PSTG#0|
zwxA*$pw^0M#bOg*u9`U&)!~Zy=&gh+%uWin@Ba8$Udvo~;8M7HaaE$#T{Iy5BWZGB
z;6R>E_hr399%x&jgxAUvMq&I^6#ZhJ>ZOv6;9N3e*RNNPf@9)|$!Lj^($ckO45rTK
z*OZ~!Lk1I|A5q)9%=^ww>+QUe)yq~U(heK7f^4*R&lBk#!d_pGs60-SYbwg#j<`eX
zF?)0*@B><ENWp~MudPfGe!zr)Y1=L;QvCFWb}OJcn21TIU%Xpn++R!8Urh@8IUnTY
z3ELa#hsHm<0mql;fjq}`UlMRpg3OzMiyEqRn<YAV(YgIvp1i+_NXqt?_^YV7YCVn3
z4}Md&jSD}1FbQy`#KyUFeRnt^>|s+axliH!<yj)2)G#JcggL=i;l%Di3jx2F2bU4#
zm;l^?_+n9ob_PI#NpurtnibRdem?+3hviU11HuAtLz{v${Dd7x@;^Q$qc*Ix(cre$
zAPdPp1KdaCusp{x+jgHgQl@IQCz77GatULq84{{!3>XCO!P!@Q=M3(Yb&)a{XAGe{
zCs3yd01A&4RqvtUfjMi+s<Jw+Go6Wbk*&BJb#s~L$-WyZ?;;hZSFexPTIN-=bGaRs
z_%N_O*xu|5D`**gQLg?C){L9WacXaeF}=ecJYId`_{@Wuq1#Ze_Mt`GwTbKYuI@PG
zi*`MG_>ktxd=C%IY<EP948ht9-Rje&Pev}f=hUBn+~}%^(G{Z}77A!Wti#QgM1$^r
zH<$8UUE539Y;r9+5Mr=PP2Q>a;BXJy#6PCF|8;?Kw^zpH9&#`MD@0)NHhQ)dx7t3i
z#HJ!u_l5P@kYT7lA>+w?(yrCMC9|LbH=JeoOyls+$5AIvri5kit5m8PYBy!{uDdEA
zfiLK%$<w7hT(XvV;hUF#CPbb>kkFByujp)Y?4_Hfh$Hz@d*QYTik513Vsd`UVBfUz
zChYup!LR)k@K_5Pr|i9$u^>(+;O4UuyCVauR`kw2iV>ShcxQ}C@$0B`aN>uOd&N~a
zyWx4q-wo}23HRu(AX>}ru7)mN+gQL{$}=*D=E#_s{9M9NFRG?K^OzfB92WAc{T}-A
zWz_VTLW_{ryVbpx+YW&qcRxjx+!;#Ue8kA;uwK59hY==erj!of!lmvQi#%G|ni!8R
zuGl*<;UuglBU=AixLM{s@8OS(%gIPzr7lvq!<cR@ES8ZGsw!z#0w-)$TXv`Q)%qoW
zK139y6RCCZ^YE14ES(XC29_^BIh#b6@!Gste6Y?ePWvxOpdxWYiRBF~XQjq{tGql0
zv@|xi%bz&-Y52V*Ay(#lwT<jk?oygO-iK-=o$e1j5Pn-Lz02hvP59Oauoknqx|9|8
zW_{Ae@u0)T8+o^wBKpO@UsZi)^Q`pILx)s)7Xec<&6SsdYEsd`f<Gb!4)AJ;0t63T
z-1bP{=8nPa=>q1`uCMJQ6%L#2%dA=tcMwVahZXY;m!7q4IgN@nJuQ*oY1C_|XkpyP
z3iG-n_m=t8(+6rT7SBhWSp8NuS+`hHffkM<uenyqSClZA8~4p3MygVJBr(fLxiT-w
zRYgTbTi?jqw(!ZFN7jiw{e`zxA$R!Il}X-!teNO@$Mb5x*`Sb63V+~2>JVh%fWYp~
z7rC=hvaBmtXzW&cM0b^BYK+rzD1M8|sJe#(?xVl1C*s7!8=h4*nNi339$|nx11Lq_
z`izYT9S*TlirjRPL#JCWmF$Ez8uDhCXd4%QFw#OxrLSHXt=EAgJdi=r%NW9QxXSWX
z!7cB;S&5bOT8n|S9i{;^d#Tjpvw5pp4_SjN9~pHq$Ov{eZC<mGK0kw2z@X${UV`#i
zYEoA(8K$i;nrf_QgJ1HJ+ewB^X!=HT5sPZ|paY~tE-0~T5_OZhqaxKKENzgykU~vP
zCTHjk;dM_(-nXn6>B5UG!*!XNX3GuqqXm@G@sk|H%10T%Y>{ZIWAL&^A}GEE(EXyX
zMO$=LY^;Ts5A~*9v%!nNs-JOWgv(>?+z+YZ&+AF#u^s-*Kh3dKWRwcaSc`hs(%i4B
z^G&Bt3Gax{V?(z@Sr94--a0LqWTrHa>>MN~Wbn!qBa}x7j~%+3D(#??bFhS#p5?cY
z*z_zK*k7hyzV{V#KK>+4FumboOz~z{&a_B?b~P-~hh>aob!nf8HLbFuRl>qyx`czV
z?uT^hLRu9p{I7jGm9npT+D=sR?|O_MNhMSdx#7R@1ys>CBqT-^%|m=gdi&L7maiA_
z%XfOiPusR#XAxg2{ggs_mm@fsmK`#~MRbf;Z4@UGt<!q7%mwd55#Jqh-M7Q5d{zN)
zu|;V?vU+D4H?gX6K5T=?6nwF1qaj<|{&Mv=k4v927d7Lp&juMom5jrJErNRznR=h}
zp?QORqgcZj&T_rg@k>fjXjfa)vYS1m!C4Fc{KP`}M!7(`c)>=Nn~JHS{tU9lYY35~
zIySPmbxvZ@*vOiMVj1eOh#T#N|5(_KUQU2Pst@p^Rs#9PTbKAHvi=h3udKCzjh^@d
z^Yj)}t8)mP5@q^?*{JNKf7-x%|Fo;Nku00XfCgp2Vp39kUbt(b$K)m*-=NTBBVl0*
z3`yevWY8RA-T;iw+mjijWzTozIH?<=P2ZChQ+ZLZv7c!)f<cGuLocc?mQ&5J^kK-g
zEUpvDv<>We;HaDOIDe*9BDr>ct*4yuwQ=SZ!W~r@Q$YOg6t7mjen15@L61vX2(BHp
z2X#KZGc)_xG{D<vS$e<qO{!sRQ5P&_S|rY|ilI``GBwdWC*HC60J#;peA+bC$Xd$Z
zzb&(2^!*aC(o>iuBNx(mYk=)Ao@qwr>M&A&$rZQ97eJcDc1KE3Rqtz8F>~&qs=8!f
zTDOWZ;D3EZVEy<6n}G04g^#-{^-d<2Ov%}M^g+J7>}2}!Ac?|*5q(0#%L_N}W+_Iw
zUVMIEv#kAy7!=9`kwavtPQl=XagfkdNpPrMTIrwhWunk#&;HE{3h%r}LM8jp4_avp
zkA4hQbWw#tlZ&%IyLf2T$ibGVHl4C$3`cfxdv7r3S1aTE(NE^vm^&o(?p?c4U}y6t
ztqj-W!U7_jL5_^2swY<}?Zm(ITG7}V%^>%t`Mb^=HTnB!S%TCw2TNZdYK8*sDR;g2
zuE@Fdt}mq&!I%;g*hk+`4=T2|Xl;uxO6)^N@zwt6zT=E^L|m}qBm6cax@0KNI?cyw
zfIo{bb+vXj4PX{%!%7mgq}Q~kE>w4K1(-B|0RxxH+OXA5@NgQhr5Zmv_tuw;JpDPU
z3~|qkq_7KL)ADC=Sa+&(#ct)k)m?+3=346Go?_vi-5c<V@W};fC86P+&0ZEkS%;HW
z)w<py@qU-TG1L{c`%Oz24aN%zDw-ciDS3UXu5j`r^RUAuuO;pZN)o>1nPbm)aB&sI
zV8@3?s!CDi&xE$dil|wod@B(M%_h(4a-~#?X{fV)e1A+^!cB{m@S_7uZ__(&ZA3+J
z?AO^_NM=x}u*9#1sj%irAS<9L^GYhlmYCE(81ygvXxZ`Z8UcO6-mz|;vzX4q^o}2s
zEw_HRtY)bHY^oR50FJu#I>%4U^X`qYd7UDCeHq@G>!Ck~BTc$h$|<awH&>IY?UX)k
zI~;C`iNx5iN-o3>+6^PSuGQi)GNq$aOSBcKTvD$tlUP|>tyQw#@*mwb!mpVdEfF}d
zwp+Hly_{k0wsdFH8=by46VyuWL-Maw)@()cme?Q)fwExu<ZTJ6MGgHVri{3;NT)7s
ze`ZJ!9<66J7#yhL5sCQHcguscIWNUk#nTf36kxTkgZG$1aC9~}bqC+GJ<#JxXjYQ7
zKyng5y3_)MbD9Dz19>mIm7cNr`oB*6QrK9~8pF1#)qI#`bqg9a?=snHdoru9Pm$MZ
zV`GC0h#fvri{yU<X{)j8>p1wOCn;$P^+Eeuk}zvJ+e<6qyu1hX`HsYhL)ChnYuSQ3
z=_MtSxlW5-@vHvR^^j-b?q93AH3<(bTMm;OCo6B0N=3RN^t{bXv~&4#+4fwN-0(kA
z)6AM0E!CdSrcO)Xr{0@OZJc!fg7$`QzD}!k+`4aw&4L-3kG?VC`wQ{YXS#&FL0TrO
zGBB{b)tkzd`TW+xC3RF|D!`cYJD*ms4@*_}-o+UAzmyuDsqE+;F&*luXO_nL0(_26
zSn7Pa!wgH`E0niDVopQ91z^oMKVN*7f$gau`bc<9bpf*YK~Eg>axRIu(Qiw*stX=8
zlmxPYE)FTVF*A#20~j_wQt=xH;L*|*a}GXd$+PpCSAvN8D-Lo0a3gE92}0085J+VZ
z2`V5NOugTS4Wy9LojQ3jM(3|b@h<lhZz-s+P&dKh3j;h|AYQ>3)Cv@bNITSffK+&a
zaMT@|3x75H2>!qwn7D3ncOv?qni=co%G|bFG<e(i7-LiT<Qsd8int5>Nl*|l1xBBG
z7RQl1Xg1RHVb9{-#)GHD>ggi}$$y#cj_E2O>ujn-CWqi1IIf2$P;4Wu{`ib<+j9&e
z+wmF)UuFlB_u|zTAGJD-8<j~6qTd4`x+pWUAi1@7=^2LFi5v<Stz2gFl%hANfWy7>
zYCP`eRwEGQft$EC7%vT$V^t}@Q%3u%f%?Th!gCO<ybgR-Ih@#J-a9x>NbFtFo%!$)
zOVqLQB)4UO&3`S#_RXVtfHMp`I`D$F#aFl>(VtR(oK*%XxD<Jj7rDP9cUei2gP$=$
z3G-R2Xr%v*g0EkX2$z6c_}<#tSAD3MgJ*J`jKcN_WHdrdOU7guf7GhcLsOGI`d=@X
z_*Z`yt5&10*s<6}m}(k7k|9$DVL5(|A~o=UFyoO!{lZD-n<7$$AFEm1#!kKbF7M{-
zu*}%ze#rx|hpF)_12cV3pGYx&nJv0S+W)?hu5b8>^|Db-W8d!D(kP3&^c8~^)BTc$
zXGG4HmN|$U6?*nO=8p{1v*5^sI@f5inF|h{fa<`iLnoR;l4gr+Hz{3cq;L-^&=tAr
zi(mC4W2@9E)5P|s<IQ*oLR4YP&SmOdA7lz|CZQg-+iZ_ssf@!M?gkyI+jgyCwr+iZ
zPH+>K0E*Cax%mCDzVg+Dkcke?F4Ou0KCOq6-fI)js2F%~Qae+zRj`VnL~_?kfp?c*
z;TJJbZuMUb^_92RhHjS#6?(yb?lLr$X4qo}W=?gTTR{t3qX?t@G0XD|OJ>{nT%M?B
z*p%BWZjPem`wDO;VKMB(A=W;(I97@G{cO^sGbvw-vXU|-bG=~D@G5kXMS%9HJ$QfJ
z-ahQj780&s+t}KF#vHAa)s8#$-HcUp>Xd{KwUN-b!NEA_2bfZ_A`+s0!7zKYG(FX<
z@aJReVqg2d>2SJK>HM56mswP*Z^Y}0nKS*^4TE~?`CMpW!~L7}uahsCEhkwG=ICi_
zORj(6Fk~*;@542|9E@62JtuWiU$qUNl{s2^+0QxtMqyX=-mvX0G{>Rb)RBNF>fnG&
zHOux`LBxJWf~fc)D#MjDr+Um67KXyTO*+jYF8@HTSxb94S1q~nO}|ei(9)n{XtS#-
zb^N3Q>T?Xcul99*2Xn%f*2wV?Qbao$9=%xUtQ9vSJZou*C9O15o1<N;YaE{5TmFoa
zc{^yM_%qiv=KR14`jXxYTl&x99gCB28e5nQI?WJWWW8yZ;j$WCi<RQ7c2Q16bMiw`
zS3~$`i~6(k%z8#;1iVoSCo9FA?!H&d191Z`A>UMC$j%M(ar8vX2X&f2ZLbF%4NpPw
z0rgtaO(P@Co5idVIoEn3EdZV=p4SnC+3p~M&mM7hnPy$@kkjvs=;(Q8^JMnt8O;36
z3;P`PQ6Jyu`QaCG+RVaD)83F@IZ_p#9lf3u`I`xLWQeeDE%42`DUu4aX5ZO*02QT?
z*>e^kF6uF)k?ng>5me^vCO8F?xs)bUqndUQs;}RI`)raPz9Q^V@^SQbWV1!-zN?nr
zsRVf3SEl&W-rPU#IkXf3ii-b>ijz_86QeGswILbfb7^=@#$pI2#kwUYiN;A?;|HKC
zG4;YG6-IK4u7IA|kU88@-<MDI#M+`hf*h$Vabl8o7M!Ol{;AdOoJo)dzR&E!M#)(f
zOk9UOE{DbQm}?G}ARR0=nni`xHs}N;){Z(VdgyO8AP=vseX=qcqe_Z51}uK4cxk%v
zer6Q~?O%)NDwC9w60evxi?O&K(=hDN5sP1Dj@%9veEq-r&cAi{M;vO6hTElM=lYx9
zm!}M^TjO}`Foiwt2ZZ?M`JU*uJZhd1{gom8nO-Z@%_b)FQ5^Lg#1;2nO6dKgIWWH3
zBhCeL^4tF&FQ+$po(ZG{HO@bzbbouh;Pi3y@i$xEoC-+vl?MJw%Kx?l`4vgC23d~y
zfBQw`1vHlR8%;et|7{Q91}P*Z#<vUq;N8Dp9|3uXCDiU6*dOhg*FoOF@<HK0iSoZ+
zcg_RaVu@9%;@?Tw5OUJ>_4Uh=vHd`;9!<Qb6U8AMj|EE1hT$j2iJo66fzL|pGBPsK
z3_p0tMFBibWdbYwYbM#}Nh2d8-!##<|NW;h7*?4}j_&X7-+dJv7MEa{$nJOJh3o~O
zx1}dLuaLzBIwz%Scbp0KB42w^C9!g%SQg~b58enXe+sz(hTC=_Vd3~LE5uABGnmC1
znA>fVJM=wf>IY$AkqWgoR8#WxcNYE`<yroRfsHq=T~qegvLPZSUpm{fPO?Axco$~E
zx(7A_Ni&7)?3>>Ue&%FI-Ob$0%jZsjOoXnEPRsX9V^C(XN7`BLzaMY~hi|*Yg#sUO
zA)9qQ{)isYKB{;zajV8O;l;0%Q;mACQ1ePXS0xZ9{O=O5lYvj(l+983Pb-9I3n**r
zSJQef|F<1Tj=^{#aXi1rdz@_=0W-DK<ag)A|6Uus_z38FF8)?1|IbU#>0o(xS19<7
zXZH79B0_-GIQ5|55A}U>0O;iZ-}(Q`nSXWesrb=MGLi7`@&YYJrvx{sAp6qM(b3(l
zmk0#&6IaEKtus0MnM5%4j~!E<$!-u|#lvShG>Aidi30R8<3F&I&4m9`*Awv!qLpFs
zUL}?MvHe(s!B74(<nrtp=@<9+<ee|){hO8}VR%R)T0^5m8zC=C^pd6h#gsov*^g*{
zZ!RywWuo%%HUttvN2_1!(GvM14u&Y!4$`HAJIlcdo=d~^0qIRFySVut4E6GRYS6de
zw(-3??Sqj_y*k{xz}9=RG76qL&Yd^zw17=7+ew;sxGok?(ugW4R3-=n__WR)ShOw)
zwfaPWY+*J649;%c%r_iDtb9Gg<zWS%?%A!7T#jH_CMuhWt=ge(Mo3gm^ooq3ZT!oc
z`$ocQQHf3dNjq{EQd(v5+@+R*g0p|+UH^A|Dx2<EeX}QoetB6L)y^mPWBt@bXzxl9
zDI`Slq4}RRF<iVg=D;GD)#NL(EU0G5{mr5J`6l}rDk9+zk<WNMa;qS)pnk%pQq{)Z
zb%nUtc3{r}iG>O1FNIWDW?Z39OocSXB1428FH6b;<ga;@f4%C&oBGc|Im`KwOgq-n
zv@9xQIdnPngNr$+y=w%+TZ*bBKF*825+=6taVVEZ&LFtS2DKe>sx0-eBi!PVvPnnM
z`1z>3;bU(iJ3uP<LR1;kpHzUwG9^9l(Ksx~xI<!m6&&co;oBC+r#9ru`JRnHv~NYB
z@O+&)S%@0Lo06Y`7eJ9DNI;*ajeK-`K?rddc@Y+r5OK|SNakNFsDG8cF323>4Q||~
zl??rz0EZA4T+g`nd4aY2oXWJ{z40@5U4j3*f(#J^(z)OFWM?7{5Xb2VafZbx1`L2Y
zCr5BA&q<T_YUH7pOP#-e1bH=kP^<W!4%DOV19AzJX=*)_ITC~<3k!Kv7VO3G>J?J+
z>K54)%98Au<9VMD#Ewfnz`Q$<y7nPv-7gYhDBs4%cc+N;=lOs-0YJ;xp$p@>4!1yb
z0CL1fD&tS#G}Vbj=jiF_^~?hBK)wv*)qwF~*p1h)-vh~6o<qd2<1k?H_oxKpHn33m
z{7CG5@d5z))Z)r^G*;t_6M?qqpVRRkSkdrIc}9{SJQ;WKy-I9&<P=bD1_ANSuzyTj
zmb<BGT9+-)`_dhdWj#`E=iN)p+#ck52waBGO6{!s%Fi}7wkw3u8W#%>507fcQCHWb
z9WOa*qYA4i9w6t=t8gCJMQaCr{grXQD-}`&#Vj21kJfv2cXg>Xj`ebYU6U*;fc(;0
z%wi0Df<Fni($)<SGD)2UT6yo{;;30AzZtZWG^5D-eY7i5d3kvqP(Z{7I2r*!<%6jG
z00_q`cT|p2g2M<0Be-cJN^+w!Rl*A^M_F7^QL)?xE2&fQkjC}MMTR(7HHYRJsi%l)
zgwwTpEew3kyGOM<t;Njt%a3T9${srTg6Vwm;sv@NRO@Qp7t1k223{M7iUYaW&9gwr
zM0*{5xkod^a~YfJw^CcE0P`2>*Qa2nNiOVqGM1|t3=-4MAcMRka)&B_zhUjpp?}m6
zD6ROA7&PjEVF}#+E}Vxz4CWfWu`x#)y4s?CL8QBiAwC;3iF0~U7_WN6tMZVPms_ue
zIVR2m$!+`yc~XdMEHTzn<wIVWv(RdX0rxg}DVgC>y7BtzJttuO*ytsz9fk)JSMM><
z(TU0^O0gIqGsjNx{E}Qb*9IHtS}@o8;_Z?-kE-<k(O5)OH;1zY=BwI;lypB+gNzK2
zJ0BkG192K{y4F&g+1?L^q)kc3k(vsWc!yQ17_9;F$H?6qz;=<dzj7wpXLHzDpGGjg
zx39OMiakO%{=hl~$Zkgj*OOE_Z4~Oj>fGmD=iY}CD(}%2xh5H&u&07z6Fk$)+2VTE
z;9_1t@P!L{^13w?)OgHYXM5q^u}l9#SL0Ve6HG-~Ng6hYFET@#I`Ce<ei6jORLsh;
z;Jg?d$=Ijw_o4*px975A1~yKd7G>v!^=j2uaYSq;^<9!O;uh^Pa%vRvS)U5FTtOZN
z9`1p}@XyQ_H`cpj9PfkMjBY;oRZ$xZC9V9424Z^=`)?VC)A;%Rw%MSF5(i;wfRX;i
zmP{my(H9E}K2kDNg>OjjE?JmV#>Xi`{k=iHRTx<iD(o{T_dH454n_d1@{@QUuz_(e
zBKS4{p?XaUsKY=>z|cLZ@^87xD)KNhHMF|)(J7RTq!8Ra^@MJbALutiE&!<0M*hx@
zHX=HhwbO6RXLeq!5%fBgbt*YA(RQJVXblw8!~j~<ieLEAXL6}&Ztt5?m*(*pGa6H?
z?;oEXkm4d9HtuaaodWl`edEKWBLf!lmbOP)A4_GJY-S@>+H~5{b4R`1JtZ34eE<N{
ztotg@$mI<tLeJgz-d(O1>I1*Vc^n0+h9UaMGoh|h#k)dTRktaJ#ZSDeok@c3Z3rO^
z(X6gtE-__n${1>EPo>+sW%ltKG5?|@kErvh*&_`?t`{LaS{Tt&T~~npRlN0&*b<zc
zrKP3)t?|RBG}7A#yQ>Zm`%PjEbfh7^vBpaDB=Y5b46k=$ZnT}shQw+^R#v1d-u<fe
zO|`(?Hhq%g?*bT9l1jG)A_0_tv3eRv;tdpN#Yn8w<TmBSs321quKrT~01=k78QxCr
zI`PEYhF*8dknJPb*p>)m@3|ZjxKEh(pN*wK5*B!;Z8*-rG2ldvSb@4}Mg4jkGN;f5
zW5D+WF_Ja|`(Ct8BR<ET4*7;G{o0G!n0advEtXpV(Z6am2G3=Z{d+mv$+dNK#CFdv
zwhc(Y6^`7dI&ho#m1|New}}MAhF1IvzMECd4*<mlD^TFi_vfX%_bGe&I5!_a=eA!8
zpvb+ySlM}X1rwF>ox#h4ZHnjAxOB8rf`>^2sTY6(r>xk{Q(ejE&5;$K;0M0Z>CS0l
zM_N$%<vkH{k}iIspw_M*Xd7${a|7PT^(eAuDa8yP=mXJMikMq&_m#)#(l+oSFrZGZ
z{@F=v6*R#05$<N>exwFf!TBSP2NK1;xYvlN9>J^oG#V9&l|MuMu!^eS*d14oObDK}
z0e&f0D%rdbtf2R|QuBp|cNjbM>sKpx+)Pc!%Gy|WTbZ32_SQRqd8uK!yeX2Tb-3QG
ze)m4zZrrO)H;rE#Q<Tc)j6Ph{>}|)TU|E$TJTT>uqgBA+4EWf$Z{ONTSk||1fgm|X
z@d1#*1Py2?6{O4Td{w8TfwC2;%j~-YnUEUZ_(R3>^kkllJ)r)UH+OwStRYEP9H>yH
zto^HCaKehH;;jDoUR~|$N@^mKk)tU)@RO(NH*9WgRQ$ftEfciSB@)Lf;+V2?H3QUl
zfTUmQEz8KXAFyXlgbO{Y8*Sj^Gp@br8o1H#LKU2a<{$R{yJEP2C!_HKU^GpnAj-Sa
zc0{EIa10PrXfGcXABN~31!RT^1lowC<~LVWS%Fd2$!lpgq_$j?0^+I4TPhM3`#`zV
zw7)rQRPE?MGZcyv;th9*4*FQzQF*8_ZIfBmJ(g@}ShNSKqM#43K9TQi#bn6TtFz5M
zKxepr*$+x`ZX7x*=AIG`S;#10mEynt^;!>q9f-gwjv{b!2?hmrd!m4yeW1XZGjfjl
zY3ef_hnjBM+1b%E@j&xckCZ=Zi3CgK0z|_=Yr9q(%o>*+uWnVtmJAlXtlISZpjCTy
zso86jw-vw8(3`u>vlOI+yMWKEj>)||Aq+fJ^(Za&DX{-i2j8D_rS*gWP0itEH7Hp^
z6sx}n<xw^|%h}4Ym9ZNj4;j#}CbC1<;}#55lenFH^Tz=lE3pMJNzedLji(E08`<o5
ztbvvXn*=M!5=Kt%m+QR#6*%A332_{)<1<2ZZk7N=i?G^JB=C>??~GeWO3Fp4A76H4
zy!lodm&!Yu4hV}K{77RX?vwT*h_(ixzc~QYeJ~?}bU6>I5?_#oRw>~Cd|B<>Qiu9(
z04xPg!>rrgtS&?6=~%|SEYA{MXIS){r790gOW=^*-`|^%jR-z}aD=!v{q&{IU#i+w
zT?I!YmpHMistTrC+}_oNUd{a_xZE<?$8?qnt|lfX-gGz_$MNbGF~EqbiA_DPL#ejA
zt<=3^ZH_$Y8TkoRf!EyJYTMY^?0Y2PAV@-jJyBkMD}ZAJ2*%0n$bY`QP$lyjrUmN7
z4KHUj>*hhLB{x=ndcPg4Hzkm%QBmMahThhnv^I3T`8S^UO*JSIW0xPz^}N4Xm|_P+
z_{AjUeTCKTzmEBF!2An-f|z1+u;1kv@BVs?z40j2SPbkp`fsxXa2o#~f46HNtRDC8
zDA`?zL2<UkqM6F6i=q#x4H~@5)ZHGvHhb`(2Nd6$<by;1O9?=p9S6b}!%;_ZP|@8>
zyA3n|>AnjEi*RI<+brrpXmDU)B<OH|cd4TLT3*VJptl#n%&<$5()~Qoz_2*#iOkOa
zoSXVwe`>LArq2jrKaYmR|1h7WR|e4?0r;J~?#A3a@*0hY05t*VI*+Y_F*9T2lg|Sw
z<E+eKZF%`RP{2tqSN89z7HGKv5tEc3;_`QJXhx9`u_L&^M42!r!p{%NC(TxU8ADe_
z>rW0uI0owMs~)=Z;;s^?$?tO#+k(pT6i$&O$IGwYdjnmm$NdO!AZb{{2NEs%&FK-=
z&yu&t4-d9tg7)OBj|yyn_)E4Xk1Kl*$nsViw@mk0@kffp0WEdvZ)9p?^+4Un3My~o
zO?{Pbt^s`<OX-Egquvn6y(L+@WKk&8V0;?Id=*7)7h33Jk-;~+Q~mGHx$@U=6F)zy
zmoAdgQv$IiQ%MS_<k;}#P<&~_133*VT^MjW3)6#p>aN_Iotna}j*ll=^ntPq0Sf9w
zP6bF28FWeS<}z?5eqXP~KL&NXUhPv~be|uU8o(RYBg2^Pi_d50s=PT;=YnIIdvQ@m
zTRVHAKbpXa=pdYR1JQup(?_m~PtW=B*NFdHhQNN4IC5wc3*~oP1_DU0$=0abSXy0k
zbOngEjwVJ;Cx6@<l)#c6W*J_FF}e_nZE$nF2TGH#vTB{N{+7Txff{G3X|IgD^gzR2
zCuHFM6D4HsbYuvS%n*J%J`Sa5`|+lLi@u+)9@))m3T}djQ7kU#>ONd)vY8O{fctQ}
zzIea#<k67^rRis-PzvmcB%AP{#Pj@ymE7Kti@N4{A3<%*_rnf(AmszW*Q(6kcN$dx
zWXh3PGSzFW;02IeHXU?r+IDiK`)AsSiHK~q^TG!{i=}4~$sFJSExrJQyVG~!4uCd}
zzVy_uWuv4@nA0P&&a{#iv4m~TNj#_!(5*N;5YeI70kHlhV7R_|V{8P7SLnAvNCg`e
z8Xa!BYm~d=%HOn|iDH%Tw4Y-cSoJ@Oya2kD0z3I=*G@>T-8K5`bF?q|$ZasZ3<#a#
zKIF3DM>)vS$9lQgGZCpr+<<)nBcM=msg;AD?Xq0}cusPL;edOr9MKkV5_&MCox_x3
z3~IoeItMQt%^!YD`)lYd6l^<1W1s;h7XG$~w=2a8>LUvhAg;Tc%iv^=R@%nCJ5K}R
zM9CX{o+^1Z@iQPd1Y}Zj-P{YkS>c<6qcEB;Lmqr1(bjknJam-)-U~kvtJ<~OG+={_
z-hzsWB;gn)p>_kEig}RNECrs+uJb60UNk$b8(OD3GN+o#vfp#+vYbwse7oj_Xn*!V
zkRpWc9N6Av%qm`*w`Jdt0_9_2s+gdZKEHL5H;8)fr-=4iujZ7OmxJ_#I%RNbs?0)u
z7U#W$3DjY|I!Kc8TBH`E&yF1KA`jhW65KsJs<`hN_M>rgquqc!II0sSf!+$IVGCTY
z!eGzQ6OL;2i7Ula=3x8jdsAH4FqLf1Ag~n?hOt?rg-h3X!~*xccYCi40)a$m+E;Uo
z#x9-BLKdeg?6sl0gPl#`1+c=w;9Cji4&_(&(q9|q1fi=gi0VwwGl1`OI-*a$+~FjC
z&d^gm<16}VOz2BNnOVhKZFMeRpj)nzi*raPlVtOqyQF{wUspvLBQyg<v+W=^7l`Xs
z!Vb^BGjc4uIvU&aYUxN>gUxcttURf#<)DQVwdzd3VzB`3g7SI0h+%o;Launpxzrc!
zxSs&3_UOY}V`D^rkh5rBDf;OaGUua;weBEm=E;aD)HS;SER;xH-P}@du!KeOn$XA`
z2B*rgLm9km<EE8*^?z8JL9lhp&gTY_7+%Sk&Wa4wX)&-)&AF|r5RAQVz!53Drez~y
zjk>6SH1zjd`*1S(1yBOPe2I(0<Yv3mS3kB<*}5C@_YVNYjC#cjHSD2DY>JSB{zfxB
zWN{7zMJ0GcrlCOrZy~0l*Ha%q-tl|)<embO;0*xHwN}IqVMX?X8`xC#(KA=fTw3S}
z`H9^}WmspK)~Q8L4yQf(i235_Dr{}*S(jEvYe0=)ymAzsO`YwL32<~=qXDI9If9Ok
ze>uoOLf!%FSUvKJ=?qY^JP|y%zd+2CJ|OoLSmE3Ix87Ty2E7TKDa0n}Q#@+|lwBK8
z?c;$x=*`sa5{!0(NcyZlPM?3w<QO%m<t#L0w9CUw5DLK5?_X}7nX8ASvkOc_l<={s
z+{x-9uqa;*usc0%JZr$D7+n;0hF|{QZyyVp05kd_Kr|AR@q<YIM?(YkROR!x6v0*U
zgD>ydQ5XL|Y`q0km0R~c42MQ(5F`{ym6Q$%B_);a5a|{H>4VZG-QC^Yf`W8+cZ1T+
zw-3gBfB*4~;b7c*I6Tkpwf0<d%~h5jgUM&RslW$qk9p`_o~d=AA;SA!gbr?WR>5ya
z`YLugAER)a5WX|~i&rB-z7|O6%Sy0|mEr-{{h{a|{3he7Y5hE7hDWwO6&rTZq3H8M
z&pqFQH45{Kz>g9@3JwBbB?UGfe4w3)L@~v)3smjzRemQQp52JcE){l;m8yW;h(#gO
zw83>i>Z$>G_r1B!{5)8mar~>%dS=Wy7$q*p-$qF}JlkXO3S-)2$C|>^DjI<i`uXrN
z=GNe(uo`7m?&vN)+31E{NSU2F+Lkc-A1WYdg|ITXz||%WdkLB$9X=*UYE~OCVN5eG
zlxn%T??ofFP?9Ni(fumO7|#vx-94|Pr>)dWfs!0Dw@Aq^Ksd_V$v^DZET9{8)Y-wv
z90UGn{<8&;j!gTbrsu(+Q5i(X{Naq*s~gBFec%HWZG&w$3hw{9KR{p<9ZfhRkpnI+
zZyzO>Xs~)KVdb(PO}Wp7hT<mC#qK2IpSQ7|9~le1<Tn{U8I)vlx%|~$flzt>*}d;%
z_R|9`fhzcLdAtm0Q1%qfK06s7G(s5OgiD=VBz%>WpP1ct%Mca>^L$A}9?S+g{#D86
zbj%i58B&~pZ_cat9<YJ+YzCjE49q_g^3niuA~1&5h&4u>sqA(nDv=Es5iC**K48a3
zpBxu@I`P0Vcifi=`ae+F^CON2o9Lsf3)1e%5;BO9vjAlE$28X+_m8Nj+cEDroJT#)
zA7>0`vgRp;xh7x?8m)mKZVIWn;7WIuaal~*0~RxzPgE^WNz)Tm9?FI1MfE8nV-UZ4
zzx`6f5dOkcwG3-xWGLG9Eg&j9s9erZnJ7=xV7HuoP9QHhYo?11TR~4~k{g~Lemlb7
z!iPaD=^)`#W^+nxNnQiomLI6pe#qHKM`qS`yRyxI-S2sS=6wN1y>>Q=UKMcii=sn`
zQ=LK9F+uKzll>ar=k7NL7A*!y26pRQKaOQ|3GB3}6E`L&)%Ykkfu&6ZSzr@HQp#h*
z#(Y>4Y)i$hm<N_$8ZX8g-*&ozT#W6`&6TdG3qVkToIibWVf-XTx)KOUT;`cP6{8Eb
z6|dR`LK&91cmJN!cP3D2dcR2veW@N&!m+L+g=K<rq86h?lI%jv1<8w{cABuf^oo9E
zgb0v^q5Npaz-;w!5>GUcIAdWBMw;j!EOV>qSJ1ACLzVu5V_`CuvC!(hh4U31A9zrm
zz%7hxe*$1hO?bmko{Hlf^x}&E1HJ+*GHLiSCDn(tQqel^8JjNOo4?Z^Jg?XQcya~&
z4h%^Hv24jD0NtGAX!nUGf^<&TA&}1;8aZhatg)54Q~bG+9km)&dSDM+2(t|d`x5!o
zF|eZwvx`-~ZUPaTZ5y<mV*TS$kjq!qeS*o4bSbcTac3kSJXRnHsrj0J`QI5}eGkNM
zdgnDT-I)>bKilq3tJ>I0A5ImhbBcU+eDI|Voo{h{HO_MMvmLlaH@IBbiD>w_9^Iuf
zB-)_297I6A`}*TFfQ2#Q3pHxw@SsQO4_$C}wdJ^V2{2beB#9H0rcJe0{bFnD>GZr~
zm(9GC_@{abM_yp4qQrOSkMt5V3jnLTlJ-#x?~C*you5Brtr55@_wpoc02;X%mMpMY
z%<7o6k&XI~>FGa2J~MW~dj@h~GT6tj0Wfz#__N~;@6GvG(^L5`rh`$a{9>@g<3D>G
z+s$3-sxT)64?}wWM4(|SO1YujEx<wfbGJNa4@L87)fYO7;17_VLK^c*G2#}*<h-}Q
z4J=yZ0Vd7q)j(7mZO>dglzn}#)Gw#li-&z-w0j#vWzgX1YlZ&2Y`Hh7sax|x;lSsQ
z5*L42Qht~Hb^iTccp=prr44lim#$>h{`0mMY3t`G{Y?SyJ(6)&0erFPpm09>m67?F
zDW7B7Zpz%m>#0Hux9LoiRWNDU#fM-BDJ%q}L2b1*%sZSo_od-`d8ZV!-Hv>J4`);F
zge?D#eFQ@w*lY6;1MKhJq{DTINpAt~pva2YVxZ1|p9P7BixQ-2)k7DbHN={GJ9L}L
z+aw|+7WydPpd&tCPP(t8do#2YlNPcAZoy3XbS7~1IT)?+N2o78cf>*qe0$u^hmtHB
zjz$4~$9*Td+~Doa0+!qB!@O#ckpEWahULGtgZfPy`lSCC=b9hzY`;N>)y7UQK{gux
zipgFHlyBg<xin&b6b>+^yaSek6fEG1ERFaP(<*k_sMc2y7mXS6hqMKyL&QfgtuvPP
zsEo5cW0U-R%hzJJD5_cE_dbQqXL<xQQ7pN`yKtv;)nLp0Q=$0-03f@oz~IK05j+6W
zg)`ktTO#_bRxVzhvp%NLQ<F-MJeCCucaw7?mJ<nY?Lu~2lSs*uBS2f<g9G`Az2wI0
z{X6S8{A&8SIb~|mv6l@gD7PzTgD!c5!eY0c<LjV*5&eww7b6nL8(5Y#&l3U=oPfu;
zG#OBkG+l81->bV3eKU<pAm8af&4k}uEI1YRE=RqMdw*BuZ|f_l2Ttp@2hRTjez))s
zw)h+PQMj!2zzp@jc1kc6sXXI*Zvrpg40<8#F18I0*;(@!|M54-{UFa#xcs7Fh};_-
z!1_=i%0c`WU29er?1P^L0z;OJNif^-4Zz^Ey@_;L*@8gp)bBXJ;=4LDDdVHR4IhXV
zRYDUHG!zvHcGS|8k{&?nKmJ<GRumHfV|Ewxqr)o7NKX!Jd2NkW(aAX93F%bz{a!<g
z{-3r6$HTtkFlSWZk3>{q^Q$Mt_-`*j79(JB#E(`b^|rqhOtS-Wl_l9RJVO#7yn9KW
zF+!GA_UEhEC}3c?$ZdSf@m^22a9K^x9A(?72nYx_y&=e8`8(ptGSGJNUp7!dDMTLo
zT@AS#zgIg7v4ap>$|fla@eOsUHEi*R@QDcV{3o%A6#vwq4ENE-i86r{WRH^$O_G^k
zrAiu51+$!$FZcfd^wI`pplfhhGYna+sMT5^FYc(y2brb}>g#S!72mCyvh%x%9t_EA
zaAU*6A2x@dY_oF1=>0x{aHdebC5eK+{S}<N^OF>Wzj5H;;KyJbi`~e6^1qG01%Uo%
z_5OyFet!z~K8#~gtN!xy?-lXymv0{dj>R3t&D)^U?WaHb8T;j|*3z)0@}%z6D1u4i
zhipR<ZoB-~$Fn9_A1~1ZDcq%HWlN4DR*a({|J2G)9^f~jT2P$%^d`^WOc~hgt+JqP
z%188q_Cau4HCry{hmYXw)?_gYUXt5^nJp>HF!<XA@);zMK3fU+&x3<<$}h6{0Jh)V
z*Jp@cp0|4^@C7+0M9Mt~fhFo+>jxE@@0LUY*!i0x6X#<iVYQt%l5CuH035O~!Zio$
zvKpKR|3`BqJpt;aA|1RDYOND^l}lZVVG?1iGC70G6Cmh#2b>+VCrPvaJjrMGn5{Eg
zWLS4|%}dyj<AMitD!$T-7h<{IzX<#lnB|D50V5`LPQ6U~JF4#ZxW&(kk3E&Dwwd#H
zQqdn%Rl=JL9{}ak+>UYXBc=-Xj3%XMM92mWShp7T@z?*-Lea3TFl!y3KS;Xwm`Cw-
zEwG763~6Z*MeAznT1T5BU2C;KdDHy^9`J>#cxBwcrn}vY?ud8T2z=Uj1isF!f^_Y9
z2%rkQ|0<n~_IJ(vv0EjulcwRB^1q?`-C`?uK*-Rv!ZZ3W`v2g6fwu&ZyIdkWrWaC#
z)VAvT&48CNi4K;lJ}3rUY?objzJFvfT$*H`s_JT$y-K9j9P#5c>2DO;W9(6*qC;xN
z-HiQ8asU6Fe!ZNNq7A5c7%?_BHWAE$>%hNh9u?+n0yps5S~Yd4t=i*3_##Ol$@0HE
zjNiSZ(h~fd<#5*$EJWNvV#DdYlzBkY0%9DQLbS_TR&Nk-L1KEmid$jOU+bM-3PpB3
z0{)xa`c`O)av-whOs(Sj>Z8`2eAzh=N0EhUCSQsF_-~YaLZPX1k4Nw;Oz^$w$dzr?
z!bmG5azM;G6egMY$^ySfn7j>Aaa2U4O?5s(Yh0Fw^&$|o4oZh4b(jZbeZ!g*C-<y%
z;D|(TXEr=9r)3!ci%-Gc%^I9ZXF?UGm=AcAupz$bx5V9>$unea28p^oyis2X)@gYv
zFgAKh<&`rjJ2Q2S0HgC2k`FKQ6JvfKl}br4C5>2TR$7vUmG$V&p0Bye&phz@&-Q+4
z;Prx=Xwg6AocQaCO?S;A?xYyu0<Rj3#aqtsU2<$MC<bMNRuP|c-P_vd$TEWl>bkJ#
z2mlA8#rA67?a@87tB{aYWAS%)!TbegTMne5aCurXY6>Mgz$1nEx%Sja(4CKn;URFk
zy<e1|GA_eIX^Z%~B;gS^5mgYn``{tQPj%YgNHgbDkJTT(VM>X%ui6-|d{UCvVS6(o
z)}S$ER`qP~!R_Wp0}>usK={QA1PBHtzzI@bJM-b5yC{U?En7%Bw}H~lX0T}#Jm?_F
zz`?)NCqZ%?NB|t|%LG%3d1BD8V|H+_jkA+RK;ZmVIW%FQkIX2|_&*l%2%I;U<e;Mo
z(A0K-DhX`R4;w7brq`LmxF~~S$;w4qK)O&W>3UEeoLfy`Z_K!TF?s}fMp*nTUHaQ)
z=s-2pyg*twO=<IXiTK0{zIfr@zT~TBs{k|6<tm`*_weKZEANjlEJ*GSc=z~(geW{O
zAAnDTiQq+{cuT#Ce@DwboRGN>-p-uU0khcD5(7gBoQeT(?Y)t)f4}j^=xP8y`gUsE
z3;Dli4NOs~*#^2K+T)3B^#yR^oOY2I{z(e_{+3S)0PyZw=lsh9_`R}0ywL2^N}|&X
z5F-3@j)dca_>N{HmXd_^(0vf3c>$&zk;?B+H$dM!n83?gIhXDN!&CsHacxQdF<oFl
zC(&Vssp06B55o-Eo>UiV{rBkQdsb(chQMr23uu);aQ8tZf)DZu1f+n!#_9IILZ!hQ
zCw7T;{v9dUK3;Hr@IhV_w&cO@z|_66Yc=}c>4Ys=*ykZN*8i^`6pB`irW88E91EfX
zzo&xAA3RGYl2?Qm2iS1P{9(=5;a?$DY@a;Xi|9BBf%}Jz7!4tV;EMd$ycWWF?&gI!
zYoLevO$ki!__^Fak>}t_n44s7$wwyETmdGo?s&AH`L8|uGqgq^Oe!WHR{P%*Lq&i~
zK--m&nt&?&26X$koAr0iz?wX-1!8n3vm|PNh1>r85?chu1*4$(s|5nSyL}HduZ}_d
z5fsV`!ap<C4~_onX~LXR(7Y9kCuBfK5Gfjxa99<L`EO2l@xfo-(stcHz;0{_d;Bi{
zR5so|2J@}wBRK-1T_JFk%{V32xc`>*?WhWt!o0pIvb2W(T0Vdc9y#zj9TPEB3UsW)
zf~e=e`TV_SV4t&a_Wr*<DhueCL@9}=&F#9^cwGGUJ9<SfAVD#jkx0KJcZVeK*h<Wg
zeAWh{+j2;U$(i%txc~$42~9JqmEX+kTEI>QEwzLf0XdsNC!RGAAccgl;kGAH%YYqm
z1(E}H4HOu_g#Mq|7?g&tbI$B?U12EefDi#tfLKT*@ZPVfsj;p`hxr**Xv|2H=Jp=P
zw}VC%2sdCkIQ^73mdm}nTS}S(aL3GtGNl*QaOOLSFJ^$~>PS6Y`wtLG9wq<-YP-k4
zcT3y#$pC*yZ=1twiwJPE>|PKmk7lp3SdUgqMIj#<9mTz>U9js%MqGq3nhmY~&~?xu
z!c93=gd0K{h~>!RW}X?o{lq9iUF@GVh0U4eOK0$cQA`=zfnAt{IYyO_k8b&K>9ycp
zxpTVbg!=G!aF!FL-vg>+f3N~(b7z!sA&+MxC|$6+X%cFzXhUmF3Ql*}#v9pve06(v
z_~d}UmU75>u81U6p0m*pIBg&h2V(j5#|meD-t5d<tWQb4Ujn5H<0-?DA{=AIt;vR*
z1bUcY*gaS?V9+1TPfX7Q4>Flmb|fH#|K3atKRVmR&CSjKD~tag0fD}u;RPF&-`V7+
zyyD_w<*Tl>O@6`^pxFeBJY{o^i`xbnY^@0nBl@_eiM|rqVCWy7)<epI*G-L>8@5Hz
z3YS8}7FPsksr*szAQNoE!6x=f^xrlU4+baSr}-NC+vn_~VqekpHKb<zUa5$905{KU
z{eznNxSrkreHM}H1Irc9QWXlAHlPc_+F*5@XAVctLg=arRo>LUAE}I>^HcsNpK96O
z*f4c6K+wL;PLnvcq6T*Czo<HFA<o}(FHY4am<1>XeJuZn^?nrv$pqAIs)8wdhbu!%
zq$iX7n;_yi6eUYC<91iKIO37JU@goom?Fz+x^3hmG!KHSSYkbVIPYN%^hfg+?#5l2
zPxci^SXo(3Oz}pQY;1>c-_Co?ATtICzC;4;e(lP5>*&l&xTB_OD<6LreKd~_PjZ#Z
zjuzmWpsaj1U#aG$w<s7^XAlow+Ufx=1vsKKm;?{E&eeqx!d^AszpBlh0Sr>QDMjhj
zXJ9}5xi_KRj&M2-`MGqgx`<GiaC0}OouOU@%|rr58n`2XEEdT8_=Ftm?P!Ohfzh78
zNUJF%WF88r*dO&|s*sp^`wVrvMI9DZ$^laYmKa!jVC@=%DGpmz8t8wAC%#=fmsu{A
zcPN#ai5?8DrB8r=9Uod1A#=O1J!l0FNfHS&a8RW|bpwn7ofe6jCQr1qg%;HGZ170G
zS(Vyb{s?v{Sb9Gc@P)~ry9@IjaULqwHhHF;c!q+8`hhP#mI%LH>*A{LsdM2C6(9a+
zx(k3aR{)pgc2ovM!Q7i$u#^2hzQENGE;<R}b{N<Qz%UGv$X0<RPvH(OEDbQBU*}&U
z!iFfk8z8zD$7^o^@J+Xr+}vD|Bc>Z6hVBUfVT3=CkEB-}Y;ok`+dzCDTKFC2b--3G
z2pwEiPBXihWFLKGsb`O=IolZ0cZ{_FY8qo8X=K}0T3Q;!)qo0$VB8ttV9fyt4rqPB
z1Uk$!S>I@CHrTAm7zVlV@bcCb7x&ZN6xQtyHg&+HXaVce850(`4wYo==<JLI`YU~p
zF08?g0?<Y0-iVRewxH22uX&%J90Jr2#wG)hYO?nO#~(@}6l5?q!2;uu*ljCC!D$r8
zb=vPC*t72tVafNV>_eg9_m@b`_iGADc|LUAXJNTnPg;4voar0(LzMgp5{+!)bKsEO
zWWvO5_(7hObmPmn)F2h((my61kc>`Y$u#m}($~o^J|_Ye%)EXJPwqM_({vn&!tAef
zd1H`_f{aIOS%I~98+<sr{UiamYoL3Ay{L*W2@h5rezot1TW^s3E|^K?;=yX8ktlf(
zSl1F2nXvfW`F`(wFK^T>X(Bfm?jz@&9DH0N?)T}UE+daHj$MHYGdSmaAE|!He2Itw
zy@QSpSgd-_B_t&y`akABea5}2sUQAvB|@2P-ns3*;o<hgkOSNFVZLga1>kysv}7Qh
zy#OSD4!^jve?A8c;?e#O!Lb0Nl?ar)AY7koY7+ImI_P+12O9dW>2vwts8=feJj0BV
zV|&c~#M)nsH_9OMvqgZ_ojW!~lYK{fHZZR~ZuBE(5yR<`c3IuAjE+<Fhkf(_GT!58
zy`VQ2w9>KZ_R>!+#tIX5WPp^1{t;8en8_?448IymVb5~_kaZ>d_%|@TT!3T>kYh1Y
zIJ#07!23-EF$@sVgGon%5cKX))|Y}gn&DM&&nhZ`U}~Urm#^g-#L<LE0GBG~1Lww_
z+r4}MF>n@IYVIM-5UxcZ?oI*%83%6r{?kHj2JiHpB6|xMm^x-{g6nj0>AH5ChB-Rw
zboDopnw@MX^PHw0B;4Uu9#+VoYP4G!jhLdVoMH^~DTHS7&<QFgWF<Q0mKor|T?DN2
z+!-(D=#)Fmdouy3N8{Z_)b(0>FdAWr>dxB?9<cx->n?_>@sKsB@&N84ARsnB82q%*
z6UPZi!6ktF#bNVn@jGCb9X4L<@`8A3+$#!daKy>)R}Mb8UAsDvZ_QsnaDf^^ym+Ti
z^H^`fJOnu^i_uCy(|>||s(w_x(5UnsBd0*Jz<j5ib?4Ahy^d)pCdW3jl1DLb++<5l
zVK|pOc@g=O-zSO-+|gnxkL@$JR(J1Kr>JQv&W@gjri%{R#FP5IiN-yG(}q5qMBo*y
zlvZH~Ird%GXg6#%ubkTCYk96d3Qh`hTkyGav4+LPrZKlfm-{sFY&}M{ia|gjNA408
z`%>!lv&oS@sK|*0mKD8frbbIHEL6|Hz~Fk2yR!kJh}VGVQT={JqVr=GP*hja=s6<O
z2Sn0sQkwmVBocO5&S!lif7m+)NjTcAu#s9}K}7H`6(<-uNR)PEZ$yEVCx}|F`A6|{
z32n#X%<O)PinvqH0Ikot=t>d%SG@ZMBlvp~dy~9dgHuxpAKfPu%(di?7q23^=5l5m
z(xhz_9Z&dU+7m`xI}Z<oG<&>S8nbp689mGE8CBP2RIb}tSN0lI&Ng0}Ok&=T<GT`D
zoo9%<8ry97#1Y}WV@dCFt>tA!R>^y`A3%v*`=0K~<vf@*{#>)f{Cj1C`j>U9Z%{@A
zR#uiGQkNAM%b7a!y-KCpLgB>Y?ikjXSpsDZoalGDx;uo8GFZ$(i$D?{K{8bGj3O+s
z8ZgwG0A&n-QV4wQAJ3|qt^%K{6QzCpB?B_|dce&tpkxQ6Hn%&+Kf7P{7^cc(Ayk_8
zZi*G@vbpK>JCg>+lZsxREqdkAy>}Gk@bOZz@}@ZOIN0zw*(mVF^N!6D7(=-XrYC&+
zVI1u21pZnj1j??B>8Aos%Zx*lYs<5)U+5@5<Z+JFrfi2fbf@zPRQK;2C=%x95<7{;
zeTGyoE+L6bAEnzKW%khtM5~`~KjgVOnLf1emV+PZT}aL>xHQu}qhmGm*~dsyqIawr
za*>QTU`#l2Q%o8`*SnGbwJLCG&7NLhu>(2%uFq61-S^S0b&+67z{Y=bEaT?TdMHFt
z$m#A>r5a@1?bP})9?7=MIp0Ql7-WV3AOH1IsXCIyS(IcXJzytdvB#abU8<AueE8AX
zxo^6u2otmdaTChrEiiC9fW$VM$6#Sj+f^_EI7azqp1_3;C7#q|QAg9E43k1an}6pR
ztLBgD14Z=_yh0U682h4Js;*pcUhKR(hme;)QIg|4yHv=MHs{l<S(pFuW@K<}kM(G4
za|p{(J8zVM?s_7k@w~$8Q2WCgHJR&yiKCWbUiqgYS50b*wbHe{p2p(~1H6pjSts%E
zx?QEO*F)M)N4uI?`u;@W3gMS79lBWhGrbkth`qhtG(5E;nc>r)ORWj}XhYi4BhGs)
zU6;fN(+pMX?g#`y-~||9y!C02oe(>bD&qgMItb|G?)C2?qq~x_@Vd@uKAq^iC`-Bu
zkmUJg4(UmFk-R^5y)(zf(4jaB;wc}?I*4b|#IRV^i*?}H0r^PJvN$iGv1pt)w|^5=
z9ImQXEECNi3<MPQTNsqh>bWtEllF$zd0zg3WzJ-M?%jd98~L+=t&}{@J<|c%BJ#)Q
z&=+>z`8F2WPw1XF{eoBi{G737?YQ1eV0q)Hu9L{_c}Smr5&vMOSyEonvc}?7k{zwa
z>k&69L;R?|>pb=jQa2g3D9UO5gtOY$geTK3oFzF|=O+RVi{JD_zgSFh4BS}z?225K
zHupH0kcFOqi-JReTmf=X!*1;sOpOx+jS_(c9BsmD29&E-l&Oj>UF!>jGP4O5;#7sE
z!wjag`-z~mRbbDvc2d2_H|Sg+69^~GPE!*ByUy-@gP<CHdR>|IMWm_%;7{Z$T39eb
zPGO}Zb{bBs=_sDp$tLj|<h+!_6+aYM3dOCxM-8DMhfoB+Mof3d+q5p9f5&qEFu`T1
zC|dBldY_W(eq<b))|{O@<~vUjpUJ~g#w*92#M#e~Q$ZIytzGk`sf#(znyy1i<k#7g
z^|g)%#LBIE^=?kZGiYn_;$1rm=gXFwE=UeptuB+&_4FsaSQ+}|1+%q{iwy`NG3+9|
z3FgO&a~ZGY)fVr}=XW(lI7sEo!Kb{Rj4^EFx8JR;Fg<hFeRvaXwdhM5@62M+Y&B%u
zQEPX9ho^k6zfNzD^$U-`1AY_%(_Ai<iuAtl`2C9&AR8-iy(9n|#@F!O!GIs!d$u;_
z>W%Plc-7KP{UT!Zl1lqZuGPKaGUyFld#E8D^M`avT4?L8Ixtgpy!QO~c3*40h48#_
z3B?J9lPN{XU4d;TC@Px=SVKbD)S7Vtv!BbD>Js#=Lxa)g548|9_368ME_Q`tmiqX}
zp=AeyytY}2D~A60=4x7o&&zj9XN;BO;0h-i3QV@n10J~a44S=e3Xc(;SE^_1<GI*=
zm6gD;HDNfXRSd<G*N)?J+KuO?4B|ge_r?1{%)=H59r@Tp<tXs3HMZaK)5P=ZuXFyL
ze%o@Mr?}+kv6#yFD!MbJ1yRHOyP<F!#gNk!?*}ai0nQD8G~RSnU^(-?iy{80a2UuJ
z8YK9NB=*py+?FWgXP5T%AX$w^50Ed<l8$SOBVH5A^io;b18VMO{Vsrq)GGSqLR(FS
zD)W^Je0Sk|KliD*&|WSLH`rOU?KZ<te_JqONkQW35=8k%m#GliD&Fho%*)PtZmE;;
z2xrE5N~E~W8#CwW`tP_D?(<z-bTi)}Xf_BQtxSkm($XRMxhUdI)3Mtr%YPl6R5(+c
z@S*d`60MYx)#NOf411orlCg-f(yBYY1mOdh0m?gu#X?*`LfLeb&8sT)X#l;acoIJK
zc<XKG%&Piy%||7nv=xx9E>iqUxp6-NXoBj33&38QyKm<8#hj_VHQ<R+x7}6wp~-K-
zlBrq13^H2Mf_TtH0^zPF#~KZ6Fx9P6$tt$zfC!=!+Qo@!KIzik9xcyNaY0BmJ3o7m
zD$HODC%*!RDks`#_y*fW?9JL}tZlD*{=jaj<65N9-N}lRPVbD?g4qm@Ht%tdNCQ`m
zxXD^EtuMNKUa}9^Vj#ps0#?}>Cd9IEGb(a&7w_R;Y&qII3Fmh9dEO0JfZV(C9!5IJ
zpk9Oy&=OuYqzO;X&i2u><t~eA^^X782v}AK#~6)NFE4Jcnr=>jHY0QDg$=Kq^6q-(
z<)!m`c>zGF4e7pgyeEUqlv;fy5fSDKMYLk!lP(ZJjE!ubOaQ27p=OooPHYRiG_PD7
z2f{we;g-f0Nz8Mu(-Tv9tb%L#c(Ba<+~A4JE)NU6gIM-2UhP@`7&4u*fA;eW&g!5!
z(J={!dJKNQUV9)V;$)ytl;!DwSQs8%%FE=L>B@VSD_N3uQ3DNP2b>~mapkcb>^;a&
z36Nh>Q)v7uij0cFy3c~R@gvvQ%?<(+m!yirhnxZe38=OsXVm=j=R#{q`_g%y_7!?N
zQ%sU(`Y*sM|H2VO*zAi(3n-i=;->F;mwJ!zG?2WQ;iZs^K+z6vE6zdcUURg0ajVc|
zEeIFdgVacJNY9J;5E0hc7blYvL|tBC$Q<-fLFFmq`PGGZp0whM@q6mhFY^=PhE5EP
z3pI{|M&y6?T%Ol<U2vkssUB4xDFtQx-0WfsL(D5L$JZ-eqA|mzcVpl^8Oek<ovU=Q
zsGDBge|r<z8At^^rVM0Fz`pAYu4%l!7eGG_+(L?g%H1}G!NWbE5?T*PliW6|@eZpo
zZ@gd}VDbAqG9qsuT4w8KyJA+LsS63oDb9gHK|dzluEyL%47_LVN~zl$;h`mQ57=Lx
z{>nZFGM<sA=7$G>nzkWky;RYbR}U!sK=pJM=t}9fE9$?;=EBxWBK04DZOhnCa6xlP
z4g2z8Y0}Sx!}-^WV%yidANd7Z_zF&=CA%lw4RY$+WX?eyCgn;wY)&=F1w}k*i`yz&
zgVv@8KXb5CyIt!_E9%?6S!ir`)sHmRbh-$7oA)InIC6rqz?7+s-f2OWplh~pvO4v!
zMj*1`m@^Mcef~pCO_^buD>w4SCMburBqqRf^63ulQzW*IB$QPwbg4$mtjW(N$Kksn
z=NQ4pm(<2d;H;TjQc3`W1G*vRZH54=l=MWyricBpXyXGQtMnj>%bh_{aopOMhvo}g
z)i`qZS#4vFrv1zjAPFtrJEq%GY}>j3ik$JN=2W|YHhK<N)t=@+^vXQfDz!9*Tbk=+
z9oz=Ly$C#sP793|h;Sa?xlDU_g?coVBTqZ19frbdW|=F63EBU1s3oJJb*pfJqHtdd
zOjm!lKCy2zprga_!GfoSj^(T3>Dgaf6F=h!QO%<%UYnCC($I1$^>?wG<4AlzrAK3X
zIpTicH_d>#WNtrtxUc-cE^5W*0fXCB4u@idd2U|5c`t@Q#j=XheJA&Wn5TC5Tuugx
zhY1L-HNZ`e!RwXm+riJFlf!V?iJMzyeA6FdrdFJI;M&A>?X~ML6J@E%;q-mGCG_Rt
z&-52zDE1^R`AWMg6Q67(M^j#X<S^(aQYTXlxAtDVUWuOeXKEZDS?Z;ZC#nIF?VgDH
z7fARUpuCOd^TPN}Nj3VLdn<N3#L>fngi?TV1|o{j@LHq%2~P-{PLbSR!(4ODnGbmE
zmBuk|`l}d2D(-aK*$}ZAVeiLzrSG>SCUjKiz|a-P2ka)pSZ=36H&*k_<+d@Th*Z$9
zC2kYIo=`wsEr=ge&>Sn%ep_7h(0=}LuOml94Juo(U;`U7L`7x^`IALLPwvUKkIN$W
zkekBUf`*JTPk(yqvC+K?tM|BK6chRg=o4c%*^3Qs=YEs6a`N?MhcP!jF~^@DyU=7F
z+Ts-!=GZwTdY=$|mDN|&7j^XVkDF1dH+OBh#2`Sj%xe_MW>$BwPTfykrWH8z)fcCk
zVjURxC}G$gJy4`AASa3x>1$6I@`~e0i!UtIPF-RRs!AV4HPjOD+7qbQl18yS<e-vo
zy?(b$_iS7WDj&l2{RH?4tqaZrB7~2ItvBC({w7k3M>bQnr;8Gh;vLd6ce%>B;b&#R
zi2+G>1GMKUV$BR!T55Q-`E=)ewQ$sL-f){ysLQ8^BkNi|Uum!>_1jE77;Xw8zNLQ6
zgh6VWRVv8`+0b;fJD;<c*uBx3=)xkaJhxNj*1j~p@VCr!VtscZ^eo0$YvO3st~tA&
zH|cTBTAVvZv$?nI4^oFgUCPQ_|I$vDUY=Mkt3_*<Hrwvaal0FfwZ+m!cHXi2>TS=#
z&PkW9b2c3K%T$5WuUPz`Hq?2$=T@C(&I`lP8NY6oZ;wFo>omw7+vUC7$V!?8Vz-Dy
zdY{il<V4YF+dRRoIw?62WcF5>O?-06RwqKb1`__B>dx0|ZrAMus5&$p7vb_U)={Ls
z9{}H(^>J<-H{QbK*ww@1tJ?BD!+2|C79uxxG4zA4?w4S9Vvp^_;vEFEiRv(ER0p>P
zf~u=M$2!8cNmmc;zVotPfm96K=8i+QihDTX?;*>{k#I8mhVj8&VaPH++6T+SIvb9f
z&V2br*KYEzXkE9H%HuI>s^-FM4%`$9)Rih+9pbw41Fppk5AVm0a<KNlx)!iQGO6ya
z*}b^*7*&_9`?dD&dJaX=R3K;a)Ik~)Zs~*HXz&*1Rv9Oz`RGp7S5)MhkQCn?Us$8*
zFX3+&;k6JppJx;}MA?PENvL`O%LvdmUB~^229u2iFyk&LS7nI*WH6*Pj4L{dVa2Sv
z0i;l6$tGENpLlV!Uz{`D>@!vR6CL^MV6xl9ISq7tqYe9H3Q9G=vLUL&K@P9@I?J1W
zs%b|6CdMFa+5^d>JIAyfVtGsGqTT9i0U`p<8Wx-2?hMqyNv;Bl;_%|8Q>2OTj--!^
z#38ee@+l+0d9|?pB87L)eU-A=SFDFq<t`=lr1RV8QmIgwCmZ_w2cn9on%x8L5|g2~
z>|bda%J|~k&x}7csy9l$O_8)4NtDWymB-duqHDoj%e4(MjS4KKYFu2W%sadTESwk>
zj4Y<3%&-}y{!tz+5KuNpn*ae{euKn2vg3)%f+yi(s0h`PIkluswwkDTSs5V~LrSmh
zs;b~&YW74}H-~|j5CNWxbnYh3g+PD^UrGO^Lr~;#Ll5dq&V|4?vou%|NGG?f)V8Gd
zdFZg^`e(^c#Ax$WAAQt5p|TOUM|NJ48uR&bB#9p=xX9rKBg=HQ=Zg43QMn-1vS+7k
zugks>T(GC;KQGY+tidbC<GKA`rm5jg2MK$^HCq-50C=;VJVmBa?eG#2HRa#kJ!w4Q
zo1-_2sjMyqs;haO>5r22f<sr|m^^}AlE@*_l5iN?@2rL}(`H3((Hoel4FLXCSc+o%
z@2|WP6C~!^c#w0C>i5M;4V;GZTMnibzkeM_MUF8o4mDxC{Vh3!0p?pGEtnd?&<t#M
zrB}e0R^;c9R=agI1wjIT2;6AZ-*;_FgI~}782<bJxKQwJ$a6&L7r#AI0x$*^o><a=
z@B@3ExGjVS`N>EVyjl|~8;*O>4lm{|N423=-*$I=!FP3zor!XTHK3j!OG7L(<0lAo
zUJzJ!W7$pB-hIG$`lo>uueHI}JEEp>0?n&MlUnCoIDBMS-eqLp{{i1Kf>(+E>?_`i
z;tC4gkv5JvGGws1<0pOv^6&11KT5`44|f<=%SL4*bl<I+>3iUaxoI!Ek?6TKr(Uj$
zgM|EW+V-cXnD($nSw9y=zcV8Kof+qR_Rw4S0^GQQpwF8Fm$F8|=siNL+?hEZ+$VIh
z<60acC<<4MthpE?<1~Lg_Cm~-_bDGkLv1EcddO4ZWLrEzgguZFW?S^4jPQ0Su-);=
z0dfSvQkBGaH=r%HYHewbPBOp1ho3GqufyEo-DaF2tIm_e5r;s4+=0v|MI$r{Y;6ee
zj`N>r;LY(bO_8t$SbA?tBMOs$MSG0M^YvkHCN1RE%VgQC#{Bg3df`pZSBcq?k6`2W
z410a7#_g^WgK_97tJy0aVs*sO5SSazuUPO35!XwwJwND*=R|L7FI%g^q4=KXM=v~s
z%vhh_pv@)P-5*5+&Bn&R_G*6d(X8eZHx=S<yR*{pKYgrPk;aBJR!GeWg}zKCfs>X7
zEATBv@Ce6NT-LRJjH|-Wf$0dF9XX`m6Oc~Z-_!;52>fJ+av=TSIrm1=%lAxHHgC>6
z-Lx7lly~mq5#HUqT+0y(b!t%4TtfSSF#XYM6Ralk=kU`_PF*KT$`8dI*f)LNEL{X(
zS>~$!ek>I=vvGgAhvr233%Mq=3#+#Y<E{Rc+((k1RlDq6%4?`bBTFR}fk&0K88%ic
zlDvUt#xQ$6<#5yEAfDdDqu=~(Ho-B8bMX?Rj?;{Ba{BPIDdO)Zdyqr%h!VKnM(RDH
z13A$Qs85R8Dc|^YRqn<eobAe1hC7$qY8&exy_qTXw(TOGrMyT@t1It9U8<c@wjLkA
z{jRU*TN=8WAol82N9R=%2=oA|{aq3cdZ3o$kkxM@8U|;<{zU?hz+FiqxjxtVY;*<5
z3Ee{AD2`rN=UNbLUg`WXyE&{aMnv#gtO>{lYX$y%7AnetX8LK8R~(`5<k^Y}b7~B~
zu4*?_=9Jd9oom;mZD+`u7J-r=nK!k`H%}0FCK;5YIVvx%_AD5Ra?M#%#g2Wi_94ix
z+&b>90}<6#kS@5?=yG9JvataYd1RY5GUM_^ktoUG%^oYjUi}h6<+h5oUS3{)8GlJb
zDysP#!=j>sA8KaEc7<<U-+o2&l%(my%l8r+uV(g#a}5P1?xVp=oR;2Cx?0(MWQfJL
z-Cgr&rZm#k>CmRj&aTUtSKr9+Is+%i`(42e&`W&obZn+%e|RlxZT&0G5?)O8uNHu1
zqpE@e(D%SHpQ$|pwXDQPJvl#W;x=Q5W_f|7je|xyvGId1!^yAHulp16iTxnRUC;l!
z-i9ARkyj08J114vZR<uk4$hj_wPc=C&{d>czI9!hRoC9mn>)U5OncZxGRfdHvs-FE
zMzHs^0K<&mMx565<=Px~-Of?FEmnbSNGz;y!Ny<)sJl7^gp@ZTHB?m{fEY+mJof<*
z{;xh7RX;dbapKypBZqe;!qkM}Gl|WojqORi+tY)cgHe%9ryG^B0LVYL+jaW&LsFxU
zuByoF5*xO>Vb}NwT&u!)C7!e8#ACy$<15#%t5|m=a!pJ?2Q;mvT)mI)Yt$-gTT6{m
z@>Zk;$Y~ZIH{aR4)|}MlDOJ)?R8YKGC}3!7573m>eYFxGGNq+mX4qQzelgz3-o$<~
zIcO|!XO@y_D3*TuwV6J;z08Kqfk$GYfvoY0TQ8l8T=9vl^4(5xf%$pO@|4p+cJJ9T
z^(j_ld!9_?AkEsA&wJ(!e)XKyP8O>bdUZ&#^(Bsd+V?DPoW(XO7ySyk%_sbvN7f4s
zJ;LVPy?Wd_?B+n&rt={XE~#ACLS&8r`F6)=Ye{=^imDKmIhbkT!h2jWuB@sVlMv%F
z@l2b1yC%0b*IabxA$z#C=C97gQa<YkvNOPV{=vF};9h0**0`xoTql$t9&S_)M)A+A
z*mI{?CgL?)7BZZ##0Tz<W+zUdAX?e>Fkvda?+SQQ#7NJ#=f2{3@wA|-qONmJP5rXJ
z#k{QXdA)4baiMG90))Lv(`&-M+vK9m=6o`PuD+sh{Ncc^U1ujMLG#Ul!PiVa0t39q
z$vFs+Q<NKx6SqAx_Oef@ei`b=d<WJGO){HDds$@0N4^?5Sj-{zmqU3j7YH7B4wXI6
zInm|~kP8=t$<NT}XX?Y*l-IsgLyOlcH_YEO#e0-zeC$#;C3LPoTUyp`QhNNyx)u1r
z`G!xpnQn3h+00cG?N7EVoo<fth$(8FMfD}t>3*!5Ruf<z=(Y22X?k9_dZg&opOJNU
z9U6LI$!>e!zNE<YYT??+^@Xe5RGci=eC)C1h^nZ6p?Vc#s49S`9FH~$HY^Y}!POo^
zG<^XG4-@x4uZaWj*~!7krf{-8s@YtfOIwS#!_hcjmDAK=H!#aT(W<%?*m8f{0ty_J
zI-8!@mI{Un6e3)|ub5Xn(^sNj4W}dvuH#b@yzKj29gP>xXI7LZidzc$@+ll5OsBHs
z>(ph|trf<$lX_>HRmBwEZ_yT+oz6+3$R%<WBlJ$qT%4TqTx3Pw+aIdaTg6y%l;SOn
z8|v7-*JRB<$GqFzI7iDrU2^iXH5k<GJGZl#o8^6JENLy`YnZg=5Qp}&aVbNH<>*e@
zJ`+jI&9BH%?LNNXuge!V8nU?s@S2-DN(^*#bpX+Z;FU>YGEx{uXmV6H-xmj3*x9fG
z$Wb!mMAHC_L_Uek$DoFW9d(#!QUI~Mk4Hb=G&2Zb_5Aj4$l+1RT>x@1*IiR&HWRSr
zwaP}5;QmfUV}Z}|W~Z9c#!!RZLwS5CXv_8T#udLfe@y?C$jEer_c0%z^GL8>Q1(oM
zztG91m~wUDEFTvei8c4i`e>FiSwIUvGk!`}le0OcA-Rjq+oC<GU2{Axb1Pcc>6N^s
zy;%~)yd}d*ukS00gaYNx8><Mk$olCOx~3&FE@x$$cF03DtvquVo|EcpcegG({bu|*
zc5MyJ1T3I%G&D5;ohKkzpezAEGJQowPnMP^NK~4t5d+!<u#D(F5I=Q13Z`hoZGN&3
zN&(#3y;~o}=ovWnW#Vn1Gg8awm6okp7gr^_p?nS5+MP28#B_M#$@*_Y^Lrh31}CsI
zrVg&74LPSbTS{j#A`(hX+H2pvyT&17ar@bK^pLc>e#Pvx=ULMYx23$b>WFMFrUf!b
zoC<n8v-40Go%Ge<vH;V%+xd$}Ju4S+nAsYgt+o0!Xz~vR*}D*bE=q%<!kM!cil5>U
za&p%>8k0a8+x*^4g(;z{PB;fG0<1DM$lLivMvdlZy3NUph7FvhTL<~~Pie8{VJ4yS
zQ|@Mqn8D`b>Q@8xwtFe&5{OTy3PkVSd-x${5Q`*0_VjA7n2d2kfyLpqnEjTAE16c!
z+4`9Bp2L1CSs&9Jf%wd2dsUT&gBi%Zo%x|#ms_^aTQ=Hzb{Q;x9*6g(dBD8DM?;Ur
z&fz33?yN+T?vz6*2GtV{k0$u6CO!S#K&lAHvR=GAJFte_0Hq4<1rI!2T}NM56twwo
z4)<bx|D1H-yrUw4*S?||p6qYtxfe}ans*p{zQPg~J<sJ*=}^lf5%m#@U@uEH9+GrZ
zoqT?#&+EqT^f{^dEaB)o#=U0yhQ^H||EejK?Y)Mj!&W&S8y^wD_i-iKs0qbxoN_T`
z4zLP^;`ZFRC!vy<q(t{SXxh%><Ktn8rhuK$c(xh`18qSLI6y9;G7v5};i&%|O>4?|
z=K||3#zL|Z+Ou<OgvCkyt*z}JLEbgaRXZ3>uPWg0kl23H^-aifYE){f61+C7ix}ZZ
zIPj=@SJkjO@1<+OF!f$%uQ2Aj%E!xAvL?qJK?=Iq_;IGaU4N8n9m}mpw5)osT`v?p
zQA+J_j-B7%VA_qLyYM~~?cPiy#BPSsTc}7vb-qi&)jeWiVQC8@^M}(aefKK;g?uGw
zvi`${dw;Jppxxk(bi#yCoKdb%nbZo7!H|3Y!x~q0cTr7)DI#{JGEX*xJ5q!#8uBn{
z%o(5N6^21q<W|WuUN4n2*j#lok<Gch>zkxf3E^*YY9KFiIge^P`7!@)_Hz>Bgf}K)
zW??E%w;+l+<#klFNv~q*)aSZNT1vt@Rm60p_U{VO=2K?MuD4pQ?eap9O67noi(*Kq
zj_sc7W8AtB1XUZ%l=SJ!g5|_V+^?}i$Z`JoRlhCXw-7-{uC~&e!S@&-tq*-M&?M=E
z*X*WM9l`3oKWXTEw4tcmgpgiV>R7&*OO`Pav!RV<_?%hb&RMOEc0^fL>%)W*`@v+)
z^(jx1<LlkPPbo8{uFqEl<?;j?D`L$0RQN03p=42$&9G(}YSDP(&RiL|V~BmF`e3YY
z`~9oOz{o6TfFogB{0Ikw&CP&VlEsvL>k{27H~lLO_S&g>MQ=OE+PlmozC%G=1H_+U
z4+(g>2qX7E!7q}mz@4@y61*ph*DF`%@l}UEM#S8^YW*6ZlE)--r=r`(CF;A=H8vnV
z3S{v1<A5$6OcZ7K@%2ReVkd5Mij)H7-`gJ8#n>p2_!AOut=LlkZ%MlHh1Y^}gb!y{
zc5J`zrdHSU$W=Zy>@Pad-QWA>)RI;CzRf<~dfDE9j7!P>ta8xwfqF<>jFzIjyqYSV
zn6_rgg-4^q8phry(yIYF5{<Ag98u1CtHjEfm%HQqOPd2IgG@K;D@S0I8FZRg5|}LK
zy<0pfc?3SLV51)>@1X&0tCe`Qj2$<ns|yu20rqrzSEB_EUV^j2u{)<7eHQA~d(EON
z>WOMcmr-8a#ycndaw|X|%w<b`ZW83a04Vc2sI~?w{XN5@`UOzq3fC*g&Q1u~xlv2?
zwNT*y={Py$h`L`c>$;7<4|IIn)VLUwgW7XnV{Kc-L$O<rw^dPjAMT}1Iz}06WMU~&
zA>ULuqJ3<b5!=tXR~hE$=-#JWySzRV!+CeB`ldOZxk@PaIQ+rS=ibw3O2wpEt~FmH
zmuNFFcAP#wHIr{5a<0#KR}%GvXI!~V+h%tF#B+tNHvz+I9cZF70(G#$rt5Q%<m?QJ
zgLkh0{gfy;Oc$EJvt<QshF-#>eWw^$4SQ|HcK?qRF(Pt5EH9taWP|hE;B49)|0y=}
z-hgQ%jc5BLipS|~s@wC7K3lyyRhv(#1(!@&$F&Ff{4?)A>1Ofmv)pWby8fb}xt0Ds
zQDr^Kg7m9{xNBcw*lvw^5f{x(M4Xt)CF{{QhAHeodhCVmlm0xtI@-dAJjOcAR|Mym
z^|}e#H=E+iwU%?GE7Q}{K=h>De%e~>=DK1k;@5ehRzqwHOv?%&_0FI&Is<RRH&VV+
zO{s2G6D4qJFuY9GUb{v+GKoJcM@9LEK6FUyeEhP_X-V>m{BSZs|BTz*8r8nL^Yp@-
zx1}&PdBy&Gm0_Yh3c>FOK6|Zlp?tl)CL4MF)tD^*A|35vv$a}rR=j-FxxGc7mDmT=
zRk;U4yo7snz1<_cU6B@y6K~{9J5t2NSNbj7*fN*|QjSvCIc3*7WQ|<HV_%%9%4!Li
zweFV6R)Oy_(mp&Y-klJ$?Lv>^q>~WnvD>=5N*Wv-1ag$2M<yUx*Xcrl)QD(>&s9qe
z$&rB~;I4Vgx`%AOD|h`fIpQpkZPOVyxIK6M2nFFgk9H&D97f-u;EH{3aqrdp5dWSH
z=R7P)rPf?7jz3}YU?^SaTa^t5+!s=AmPQvEeM{>*55y&S0Dzp%1&^yoBQyL9!~kfq
z65|(Tg}eU19KRijy8vr$>z7x@5qE`*eThpX_YXgp4n|2a{(aKHehO|;lfzFtCM6g!
zLVARC&QBx9nthqQ4O$9xVYj2d{{Xsm499t2&6Xb0@e(Sy{!pgIX13GeK)J{CnjPnJ
z0+-hMs&=C&{vVL#-lO2Km|qK3K{FZ(FIIC4oalmfB8Di2`jaWJ?E#KtEtZQZLe7n*
zg1BF+X&U#4ovk)1zVF?_OIKRj*98)P-isRt=No(Wh}-6^tb7@s`#AtI3m-D6`U^hA
zW5$T@#4fkH9Z`1!n&8C9*&>@JEi$K*_5QT{)DKs?N2Yf`;U7ZI12(pJ(9QSQAcP;Z
zmaX_dUB|`!VIJkQvYrEs9M7+#Qw}@{I*FU}Yi-V*iD-{IqoJVtvC+^_9rkBBwoLzX
zH1?B2NYR{@&^Wn|>U77>zmpJJ&ebI(ma>#(2F67u#LOgXjfeyABm)2`@q=Hq{r{U4
zcMs~<^73U?S58?N{8s?JYOLEO<Lm<jhOK3I+A7N_SHURwu1ZG9@eb3sU_<!65`=I)
zOY%3MhWLu>?DVpmqK|PH;?h4hTC%2aC19h44FO2IxHC%s(R4@su`Y>KN85K)9mX%)
zAJP$vb>F~198oaj&pw65pr-S<i{0xn@>=c_jVUqXGS+EL{RDG=(#e72Q+herDTk6$
zpZgri*r)@%8-SGXzd_0lS-AGS08dsmlLS)!?!LocL$(j(Ky)II4mK)iB02yw;Y?x>
zQO7fR8yf(IJC8h>N~K`&nQ<sZe<))7xwNF|8F%^eT{)fY&CN}4GBapYGsBOmy?OHs
zTu++-K>=KoB$_wa4I}`UeXh2`^~MKO9LvqmH|tJ5GU-xDBD?%ajaCjW6rdvEohF2%
zH;l?4`y2#UA0vZ}_6F683RnHpv&T=ER5h!g`ej(aZm@zX0DJQOo+<(Ey$G-v)SATX
zao(!e=VOBpus{@NLruF(%rBq{nE+EQ0vz7_YM_ILfP$HCv+;x3P&-Rs<ujm?0#VZ^
z+XaHucuq@!obk&-Mw%Z6MBqQ4YYi&Wv&zcK0^QXk-nn931jmsg-;(J%`#n%`#)B9r
zvw(=o63AMZhLur)Nh!W2VFL(0ul@E75Lk8qBt+1Gow=qPP}%`-(dDnGF_U1*`4gr3
z{fv(ve+1C^^tVPp-GEUM9s(`~unw#y!;eps4FE~NVOI{QG^!=^;hzHb6saW}V2Z2*
zC4mqo_4QCiN-!w#w!^BL?`w6KEk~Yv3W~vJsDtSWL1i16O9*L`ZvZ0%3SXX6Usivo
z-7e=;|Af}I3jj<1KH4X={e_ymLmqeT(ff$NH35(Xu+of~0|Nr?4&zgl^*#Vbb#<62
zQoI!S*?@Y>DnW<8Byjx;OW~~w$p<wV8O%+_ZOx`qP(T;R@|S5JfItzOS%+R*05|Y)
zuL?CBj<+Ykg@()B+WKT`49oJV<-P3kIeMyMc-#wcCFBS77-bNK?0~;g*xI}YRJjgR
z26o)f#iO1F#aYz))`8NSRHV=rAi(H__0ZxNRT<F=Kz)D-_wgQ3h(U;*p2=WgV(O!(
zB=|`k6*aaybqRDJ05u<@3y9q2=M|e%KD%q0-}#Q3xv}pQ?>y<prqYf|jgb(AR~{9e
zLxCh>=zn~P(0DlRY-%XUWdPcPwu5^)4vLBqGn3WUlqMcaoCR%68o<5G)^Ezx)fYXq
zC40XPDBxc*=sdK6xKfK61v#y3qEw$xM=`Pj#o*6&(b}o_qpm0>!x4*bK(Z5vGdxr@
zX1DD{^bENB;Q2>pi)9c#@u*n)4zIO1zSOpp@`a3d6m1?9T)mJ{%W}PcM>0$E7gk-$
zv!x8tapTj7<M53I(6uUc`u5JJuoW*<hsA4nS~ESVR)6G+mH6`p4$ZU(>;QNiR7r4_
z(BD(^gQ5=O&VNhufP@$wyn4)KD}y|jU>v~{n0C7O(%yY^LY*EtdzUE7+df=&oSzbH
zskkjLzaEr4O*?^#g-dsZm<6vhz8}9IZ$Il$QZ4%oEOxf9t*4+=5;4W#p%*5Z1asL`
z&Q_B&Iq3{LH<(F>FU?V3IhdEsgNEZqmi%cvrZh{@oww~Ik#Kxubc{|?lu4bCNTBvR
zQ%B>AVg#3@WKp}Ik;0G2;YpE#09PRwulTbME~0R15ABO$sungt>nR$pIUDLZ071!P
zBt?0tM6Ov-61OJNTCcX>qLLI;!+}aT7l_N-N6l{nT48PJ6^v0JJ*=v4<gPiC65$%S
zr*N|ML<mZ5?i2y7v;7hLs8PB-h-?BYAaU(8b6eu;cZSV_=f^u+BzVJt(dn6hxIe2=
zO{}pf{JP9;?iwh_RY-b#0GoMd&;k03wybQdX3VGyvD;h9yE>s{jSTVE6kzY;Gbw4<
zpnLeJD;L7)x*Z$<wb6~u`|IgpGU!Bgl1lB!ddgl4fM?%VY>+GU1kzfIRd+c~$1=!@
zE{WcOQj+ySR)Rs>p8y`mhY8s7(|rX?uz@N1(NX8??)YSjhlwIRaz#xO@zoUyFcp-p
z@p{}Q?qq?$hgU?Bjn*KH!GgV%im)|J)$JwM^5IIx2&Vd09Si8AmW<(qE*23!vi5|M
z!(<ok$_2SS)J~xCT5x1eFOKFE(bY&V*H5R>eAP@>)omb~1>lSa_e>4KUp>>0qG8Ed
z@QsG9g;HZXIfElgj;3}Tu{f{fK|a)-397qzN5`;j@E(KOa_2j;gDPy^qb>%*j&2&Q
zt@{zZ?Tni47*jM*W7D2rdTVQIloqP|Z>C-8HqCeFH6Y{OVX-T^Gv3;++bh{~xtjpb
zPK*hO9H71s+!nNzKH8Pj$CvHd^HgGhV9)~NWMyaa1ZIH>!kd4DQ2yen?O1vzv^<XD
z?q`F=*On+1<s9vj{!zN9W|g?!A!PIdNOlU>jzAslT0;*`0l|$|2ynrWiYODT_`__v
zDQabSci6(Ts`>VsZmy97-b#zFE_=lI%GD8Myj~N18}5)EKF~e4!BhV5Nu~xpn{WHJ
z6*=1)j3`%}Ch+SUo-1ETr!BJH#qsh`W!H<($ey{{btIBs7h|^AR!xrqQH6(9W7KQ}
z`2yua0H`GuE2!8WQ+~#$Vs6~y8fLn)c7oCF)<OGPLG7?^Y;WIG0T#Y<=Rp&P8}k)M
zhE0612V#HKyV{p0YM)jf`&0Q5ar+^+@e+Qg*Q)9-e^>kV?GGJ|>Ub=VyKQyr&NTrq
z_tQn6R*A|GG|_=@ZNhvOOc1nXa{fm6dH`+95s2_4V7P7*Rl$4jutrK8<{sGc>NR_r
zd*a)>x@vsY4ST;(Nu3yf7FI!LhNWbT!misf^x?=b!S<eoU6)1!P&s`SMx%;X9fCfk
zd0uGA`ufobDt?rA-#VtZW(Kc(pw}pH5Bfg>=OfTC`@t>PeuUFJbziT)RGq|6AAtIe
zuhH@+(q)qQ+a$}A4w#3q-ZZ}ZSgK?EGCX8!cbjx9?x9!UUDmO35u7p}exka-eEgq+
zAY|<5=Mo_A_g2)>%pmCP>$L))qaG0R92ge6bNoUblNR*e#|_-FTnD-t79G7@+izi7
zL``(rK;+Pk4^(ycy*l2iSr!U45m1@roYzN`r}mpo#IXlq`CfH2yVtx`%+@pUgUgwm
zZr9GFr=ti%^CNIf+8RCIeDSU@me+Op4e~#sc59qtxqiEiAuNi3b5)CK<O|G|DtCnZ
zAn*vxA(kUu*rHTqLUVQL*%;mEDgfHqBi{^LAII0<2&tzQ;Y?{???-i%0Dk4en%RD}
z|Btt~4yrQh`i9|fP*O@7=}@Gk8x&BGkdly=?rsDQNC`+uH&RMShjdAYNVkG?NH@Iu
zsHpdIf6pJ^%scOl;{aFfz4qE`t-a#6I;_{mQ!yq`^=rPP0e{tVQK@g9aQyXdt+O%2
zd4g&KRI*HqL?fItkTl`Xr>wpOGVS&7+(G@z)Q+j+q-CYL5ONA(!zD-}ZtDGDTwME@
zl8<=%Qz1Zf*{?tz9Tts)JSN{*6-Y(pY8N6sFrllb>bo1vO|K9mLT#mCP%8Tt<o*B*
zy1vG;!kX3=Ys`DQSYjn^_`i<;X+a>{lLtr5@u$TXB+=-RF4IkST7HZZ7<`Ij>$f9*
zCJ3TMn*@p0%oHDpH4s0%jgHW39ZB#kJ-Lm1=83ZIjW`*$EtSzIh0{|nU&hnda!>yg
zwlx47d2Sq1sGkD!FV;zDA5Mr9%qyMTo^MaA98YLhM6uilN8Zy5wWCwqH`k$1X(vPE
zl!y=H+g1F8=3{(w&<gD5Gb(Bwwv9xK2FNuaEfTStnS2d&ZZ(o|De=H$>Ky}!K_d2x
zGBfny6J3^_6*Jg9`93q6q2KGjMG7q)9QC9?lI<^)<|da(bD4hI__jc{kU3|r%7gGw
zjObE+-wT1mjp1Tvkn7hgk;t>I-QYRumTr0<Qm^f(*iP>o70#);If$m2u*ojnFn8DN
z4TcX0z*yGb-zzze@5N~H=ZUP+G#jX^@?!nCOg%*CDY2I*`|0e}NKpiGBI*vig=*`o
zx2P>M@2%-PwUqDXtdxj0Fe6lRW|};>X_sr#+F<7HU(E1nEK9ynNsPMUZDs+z39<DL
zzNI9wRJk`F#m7DFu>h7K&qLKc+W@h#Tf107+bD-6sjLY(M(C}*!A}w~7hdAp;6~Q@
z!W+Gd>0n|zG}7yh5+Ggzq<=LL#^0wR(Rm<jcv8~c;MM{z(HHlgV;UA4SAlAt_o^E(
z777B7qxHdfE=x0?k&jjc5YN_<C=G6=!H%TVdO7;s;pYy?_ecd~sS=$dG+;LhmfY}(
z5+rraAKWmjZGz{J*^Bv(w?3C@bp(yEtCYMVB3KS_+j*-odr(TfUGkI=eESY-CNN0l
zb@6#sX{x(q5hmvYZBb@!dZSb1BYW!DG$EJuc6NT{!MeBpu8oXqU5=yK-=oJw+1ZUP
zK5KhivGYLpqvLp@D<=qoF@BKy!8eb}5JY(G;(7=-n$d;+gVdT1dw-7oZZ(<4t)^&&
zX#%+|ul5Jbz*L3{S4s#b$PJi6FfpSB-mg$_NF{e}`dpq98S^GKpG7kigM83Yax$c%
z{ea&Iq%MpKr{Wb9Z*mbMiUcW(en_xF#gJ3xplFB`Rd>FP6TKKIQ9$K_9kW=qn<&mG
z09&1HLzKSc_1u2=as1ni!%74bGuuJBuvi10>Zk6m0QNdQ#1Jdz3>MuU(-wN~7rg{*
z!Si(8;-~S7`|cI7HxUs-=7)NIMA1Cn7{up|3c?zk_*mZdE!wf22|2+=s+HY`Y-P>L
zmK`sd*9w~Y_7flGSOw;;xC?rbZWAPgIFNZVS3M(bTtp_@ijdusT=xW(38vx^J5{LP
z)#}dC0{SffaFDNc%pP*$7_$EDs4x+P`wuvju>ffTa76cTcauiwH;UWB2%?AmOBW3m
zr#x4AKqXLs69prPz2+O$vek9PEw)+q94&UW^alEik7AN?=WE}>ebyrbc^stG4$x)3
z649>mVUIbg=^&Dwa(eh}S!?XO>zW$m+HvLIR0tIoXQt_!&V#Z)u$-#;Oq}*TX?7T_
zRWEDT4dXYA!cQ*?pxlc;_Tt%IHQ*)6R)|vuIFVQQx2k3u9@Km%KJL>P@iTMWLSYj_
z(g9Yv!*>co3!&=|N^DC@$5Mpczuof>idV2nF=)6ZzHDP}TZ$$y5LX1zLBI<Wov|Jr
znY!>)W&9On4;0mhOFaLS31Er7q$;wX?Gvdx_qqs;d==SW=_Q=86iDt0!d>`J@h`NZ
z69c?iz0W<QLteky#V35<q8Tx@|Apz;UA92XZT`)i=;KTxLPvnX&O0uJRj-ei+(`xp
zo*WGeZTk*<dosHAV;AwAWu{-6XLj!5j9Jy0NQ*?@69}*NGoNt1ABy`pI!$L3Nlx17
z&hA(F=hQCAUlQXJ5gz7Khn;_Y&>gr0FR~-yG6UwCr%n0p+vi&WK3f2(r7!8)C)uL?
z(IM99k3>c~2)j1pC#Rsh!$+xaTM`(~8xvd(ed%2JLv4)nQU}OvIysGb*dA>xuldXH
z%+A{EItlL#9(U>`<|+Pm$gBcISEXHL0OaI=D8xkfnaWd|f*V;ktaNqEMkpaMDX}Ax
z0y>H%zBd_C*6{0E3DgB)n>zqPv0US#2t`@A&>vd`n(kGJXqauxu&lN_K;oQNzdu6t
z7QoU@4>84pn%C56KU6NJakB^L7Z-Y(vFX<U4v3ct9aj`MMX~AmOjGYxL>K7Z(DUe9
zWGb)OXH3howX$!<4hy3DLQvNWwfOR3-+yt5pq*)(4Bjau$I~>BVdO!A`W=N{51xU`
z!mo`mB+DEt(2`?&K|>rtJwL8t|4Gx6K*N0#>zNmGqU4+=;ZNWHlm>w7Wo5yH-=XGt
z0XvNQrP$%tAO-g1p%uvdAc!EK(j|XJW>v2=N-y@F_RPgaT<d~XH7u1Q9|0WgOS!~R
zxYQ65rN^D`YxLVP6?vR>O5Q(<n!PxvoUVeNJVYyLd)IC5gK+z0rRjr30;hf(+OH(<
zW^~?~N<uU1bQ)7-DvUW=^h0tcSZMG)L3(s4=UERxPNIt?BFzEEea*MGOdKanb707q
zMab4Pqacx0&u9UQMuH&cu14?j=eGqiFn?~>-K0dsZ^Xs|g%*LIvFs9R2j0;1w!0ya
z*zSykq5YD2|6!u7QnD>}+?%$m(c9aO30q?u-pHo%4rl8mxf3)5EEvBpVcUGW{z;v3
zUkcTVeUuwf@CONTh-3yn;4xohYo56?B-!{VMe-7LCM^)avL&jkZJrO|R3@F?e7fjS
zM3fesbk9?DM*&$Stow6v`~2#-Sg<n91@R%xaWMp7R|m5aW_7h2h&U(Hym2kz6c@Om
zIBC9G>1c@SyZzAH@fJw?U+mwTZiurjVcB7ie1*Qj;f9IVa=C6{lbe9>@YSOoMgjdp
z8&@+=i&A$ogZ_sykvV883flK5b*70Wxy8tuh4}|Hzuq=_RLs$6yw*TKRXe^x?d0q_
zFeS14%=+ds#p1<XBm(Iv-c-<{JuRS@$ka0GD>}US%sBHOQ)nCH@{#t-3jw7mPBTDP
z(@iYa*Xna~U@IT9!I9&c`*iSiMDaHptZlalE2IzV`4K~2KhWbx?6E%ZvqNvE=^{W5
z^dchGw@WC*Ze$@LFuv8?$>07~Qe+bs(P9-xgafBSjwtb-r<|~p6pRYej{G%7{0nu`
zGE9oPMY2M?(Nc6GePR4`)fxZx{43hABTzbA>b6LMl1D$z&UjKjsx20bOBF&V3-KXl
z?-@ugG|&RY0<PJs1(6SQ9WR(wx%a#2gno29uxuU)$GeNr)suAkhE7d31etp~qmhtB
zbJ@u66S#-3hc~K#;$dZ#iE7Y2i}7j83xm~TwBmP(#$C=mE7~bOrN+he2o)($fvo`l
z2g`<Q&zs7_IVgdRh!Azl(n4Z)OSu}di;dIuc8<Gwcm1*@P>$M<`HNxJy+%Hjc*fa$
zy0+xs%*$(bm->yPa%zIz?&HoYx6UqO*f4+8dfSl#8sRn>aLb-Cf5^3JegCD=q+1nq
zTL2)UWmFJkk1!V;h3Y-i%J3QtgQewxPUBM%832oX@5q$dYUG`*`7+v(X*`lo5|%l`
zMwBc**K6U!ECE@joso}p98pvyeGy(gKAmcqDTDmwg&--u!QO37UI#b~7C?nb0v(=M
z>;#?Pz^w|CA$WBVPPftzW_{NAy~XWNQl1-Ig~?G131VT5E-CbRi&{vj16C2eprW5h
z8>C1#j`tl)393-MDc>Qqie{w6gdrXyfqEOMh3{-F;wdSM^uWMyh6G#$;T;wZrvo?K
zD?F3L8K>2_ypM}cel7Wi{q};2uaHdNeW#&0N3uw|K6WF-P^E8M8n)5If`#|F`DGD*
z4u!S=cSM3%B!}sC{j-ns3!FF9T4^75D&Nzhnl$Q5k`kiu2-?(#7HQUd@QwQx_)D>4
zzYmk`fWyMMsm}GN)xPdfem$eNSa0yayf~Whg~T#b&I)$zMh)IJONNWB2sJW}V{PDl
zp>GsUIL!`yb~az14YIn4W$GCrHac|Bv7*Ek^}d=}_tx}cCt}0n<mh((l;16k@v4L_
zWa?xaooSZk#Ubw(?jxeO`JoWkG(iaciUX@MU*0&quF*at0?fF{9OcW`k))?KX*fz~
zf+$D3BtAUoubJ<EUZ<vyBYxLYNw*h2NM%j;LryHR$jP0irLwQYV^Y7FNO<UN?&kw;
zVtm|G(T2WrJWT|Sme%%MVxXy8;rW$hdhhQ7h7^O!H;jhVefnOXP-(XrDSJJ#oxDW;
zT{X&_7sv3+N^IG{n8r0ye&J^kyU*S|La=WPlc-B@YpQ;%nYV@O@U_VT{{Wv$h|R?0
z(i8J@n>cG?9<hR1Njr~NR4RZ&=!*|25=Ypj!X^n|=ATl=+rf%>(#uo7jVVrF`aFxN
z-T70-_?SXZh1wd0E!^*thR-Y+Cu&l;a&!0<@jg>Lp1JI%qSO+Ze8>`qMVh0xZ|HZl
z+sC4zS|zttAD)vCm<6`pc&V*{r`m|>1+Wm_VtlTHnf&lJ42cDuW|*ju5UrVQw`6*R
zR35@BG|p$_tBq4%aQno}#@r3g5sQySh9Si?_1#51eC`v=I!D*l=teU((@^GCU*_S$
zN`q)2^Grfd)bsK<&t?4cr{E>YH$e=G`M7?s7pWkfa7UqQYJmzp1V9XP2<@&Gk5*Nc
z@ZB|Ps9r4cx?4F_tLR`b>m><cylr!U;dU+SYhW5~=N*ZVdn>NnM_)^`$fcxC?xOQK
z#Xw2lnoZTqo7u>H#M6;-dwG3qs=1H%#QMRzab=m9JH}3fQVd^D_lNI%ylH$#PD?3g
zgi7y|#~7{*mdhPm)*20Xi2z9mJ7hSdz}sS1=+%+uhpKOAtwh)M4gh#RpESb@En=;9
zP8UPn<nRX=Oq%R^Hea{s$j3HE)KO@k9BgbbBYhkA5SAsAZ^vYGZz3)0g)>h(&GrqS
z__u}cmJHE!@M~+XMZGbiWw2l1Ba5>}(II71Y&k_v*d2s!hhRL!*xgprYvZMhFV}{E
z>;=iO+a@`kAlNqLwr#ffKaUIutA`2mg^u;Jha+{ToiR^3d<`*qv8(b+RCHFpSU?9D
z0);$mQIy#?*;%@vs<eYRPsLjEQwd2}sZR)!WrRE>g^%2~YZcO%wG^sA8{Q6g@wt1+
zX^bn_BFxVs9;0<gXqL+zq<KtT$B~B3@|tSZ-XnkJP<20z;`JvwZ-S;Eh`7SrPSfYt
z(vjWt?U@8z;!(}1E=H=~iZN?pmOj|dn3@y4E7+OeHr@PAvWTU|)wU97rL)hK9oEVe
zpMjTU?VD#UX!8<&UWlK6gv}(Y!Z7$8Z%?|vLqxb%7$y0djpmu_GP79+@k5roGs1Hu
z`<MfvG5GPIG8`MWPCAsgZeX@YZ{kik)8mdv&i^DnzJ{Kl{59<-#6F&YOdZc2KBL--
zG;$vHS(c=;A-3DI@kPEnmiMs&+VDqGuH#f_M+eF14yH+=k|GP4h7Va&dpUFR-~enq
z(=*xrN%M>EO$|s#y$ym#KMw0od*j|5-|E(hmu0{22$IwXIH5;gsaThrt)cVWLhxcZ
zcu$Mtw~gmp{g?Y9Ui-$FL?HW6SSR7fcS+3D%Y|wXwR`kY!}uJl?<8GhW9!A1I~<1l
zSidW^;-VHUI0Cb5Sq)D$kh3SrV}IlLah1ry`D0~b+}j8Qge*GvUvecM2^Kr@A0E~B
z#&cZ1h0jahj`?VS>;2e5j7Y$;;Z&rg3SOB)NOIgEm)A}GOM)Gueq$!Fqk@dsl`qGW
zwjVP>?>{!+bt8rFzMLL^fTDXTi+E7grB%u1K)$~G_Q*M6xuPI;F@46-xM#qFr#TzX
z{@Pjk{hRz3+Vx1Dmnudnd)Oyh>`3^L(T)Au$9JSpzrGPTNAA<$v%Yxm>M2Y8Mxh~n
zbGB&r$;)xG8-P(AapzJ4$EsrAZ>Cml@?0Lwr3#((wpq_;b|YyrND%{DrZuXu@I_Op
z_WXFw$txLzclxV@dGaf33I0!+7I*h*uq0WRR`xNQV?Il}xV6k=u;(+rHdr4$Rp|13
zVZz60Y?muLMsm3@S#%9E7h?}~5MFk+?@PXjH^I;kF?Kh35yB<8)|jS8O5M>iqCv+B
z2@I(09(XXeC6gO(rufqPOS~LX<$9k6sZjojY(#sy;VYmOLC|)a)jNh2vdvJWcX;ja
zn$U$--lJdk#)woSr%ks}%X5bVTD<7q#f1@6#ZurhHDQ7uTXB^^rNS@E<d+vU4R%aL
zM$-K=ANiB611kf0MD(-4%031<BpgXA;H2z4_bBK8`-~(dqz^wy6mL)&xWE)cL@j;p
zzWD77yNZg#f2CXjE)#}xni0sKQjkA)nSo1d?pKG2-_|zVjf)E{yUt5TUP|!Od;RM|
zkm&F5ZiO-~6N(9*9kmB0=XD&D`(S9yC^}-lkEQUi=6h_>lRh1;hWIEEQq50}V)kUk
zHxNNtYoI6^E}&RbKq1{fcbDSM?a{n3F1<nQ%Ep6N?L&h%cne3;2r_|`)bm8u9PclY
z2pGcUS4TgKBGuppX^_392SXj`0mg13ag{$FY(!jF^uqgPf)$9uq|ceK!-pLn2gQ{?
z=a)Cp%_zacO8`-7>H!D%6R!*02w*Bter9u&`->+&dC>IP;3vKAq0-7N*x#l&pbb!Y
z{}2$c8r1~L#!f`1Kn_YGq5D%MkqrBiRGLAChlfFf&pDpFWdI$LBbWRjR!Ld847k=n
z$*be~*u6a#uBqv2`<xmsfZ$cc?Wj`tto(gR32teAem?Mf4x7$eTmt}UpjV)6;71UY
zMSW1(%iut1gd#*g0uUB@dV1u2ACCM$zRkkoluTyZieqYO8oJI_<~n>4mS>C#N@kbS
z-UkuFpjaIA%mi|C7h2a^&FfYlfkAJ>SN(!x5JMuZ4dsV5B;)n*A>w6r!8_Ap(<+$O
zpxg!5Z1b*U)>nWK#RJ@rmES<5Pb44V0yGo_&568aL7x>k<OK*?A)|a2)6+}OJKJ<_
zAgv;u|1Qm1x1dabYYzGZ+^cwH;2$$nX|0o4qmr7El9HHc9$Q#sKFSg^1-j6ILyEj_
zg~#f<oT-94O4$H~h+B8|TP$dlR7|}1{d=;@x1jc0&YH=k6Q#ysLR=h+m-V2_!OZic
z2W}uOa;yHdu=MyFVZ&Id@srX+bisO}%OyX)h4TvQ+U-vuKXu;B3j9#0RdeF}6rg?L
z&dJcD&OKyTw#PBi0*kCMx;tngkyeeWDPna3gpeuvd$}(&k4ML+`Y(QLQ&&%`e9+#&
z=<e#`cUZP@c{`CuWQY}0rPv!ww49TX(L7A43F^8?s?1|SX-1Poh{ypvSqQi-3T9Z-
zKG@mW37`ECYhbsi{vAa2S_2SRHfy~d9UcAskJj7j`5P!=^rz0;x|pzC`9RSrKqXFE
zg4JwB-ruhIW&=mG0^QQ)w`{#Ae}Eu9k3}l%vEXH?asLhFkKLmnCIFfPvKiO!de&$}
z)YF2Htk=P~amxY0GgSKy0Irf9jXPI63r%(X*3Z_2Xy!%@phSkY361kK!svkm1laFi
z+MlEr+dQ1A2`v`Osf!m2IbcVZMsOtQTnc)ERTq(*e5*ol@3HvAVsBzH=3}PFLsmBi
zC&EW`#f4796-6NO4~{of>&%SSRbQ_`*^)g#iC=`p4<FpVTPs$3ZuTe~tpLo*#^qsU
zm;<5hYw<9L(P5AT1aD~d+6s^Hv)Bg67v;z!13}}GaTZdQM!pd48+W~3S+Ohn-RkJQ
znY9f^v1W6HU!1($P>L?_^A>R9i7-w);*bHzFo`H-@T`!6?RTbq)C2j@Kuov-(O?W^
zxHsmKp6J-r$xEcTI;^S_TEfox6?mpHh+fu}J8eAs!rhAR1%eiR7<Hkf_5*46*99;q
zi=tIPIZHef@z&j4kVSFY?1#RM#Pj(X_NwE7g^yt5chCtA1y)hRkn9i{O{!$`b++*O
zERtr90DsJV+pxr4S5WbY+gL0b75XdPeI0O@zA+sr!!m^sz+}qQIBHoR9Y*fPGigpF
z3=8TAOu1nabzptSItJb|vSovvg-%$)?O2Qa{oyy(ri?d&@D0&(@pRWI%L_Uz^qmT=
zD{jLh!ou5*^LtLoQ8nfu_3T3Q4cv?eusPQlr|FWh&&^LW#xVp<2Wd+~ZX#G*D<+&M
zH&@N6%Hp{^Z|3M1^mP|xgR;0a(C;B0I|u2)b5_ntRN;sbpVmS^gA0<lLeL%M^*xTu
z2#Fnp`3|AA{8AI2ZIGd$sX^Wfx|=;eSA!uq-p#wx2Y;gskulz;bD3ItJ1qHfmi}*c
z^bKzX0naHBZfltIi=hTDFNd@|<IzImm&~o-K9%_c-W4L3R?1O%g6OzZMrJSSb5fZ<
zm8Z(e;2ohCt7#XMcR4wGv1mX_T$?}G99C@LzkZ!Q7XQFtjQWu>B~sMd^~y{ow_KCj
zdH@}{Py-x?LtW8#Eg?j6Cl%cTkdhH0luY{16Y1B&1a|__AxpMLciQEI_LVDm1Wv)(
zH{tdEVb`~a3X92fp_&BA=9%fxJzVJG(eXyNXp#5j4Qc{JjC;Z%&y(eiQtihaG!Z{<
zE@sdE)_&Nmfa|uY-+BJj1-7Wzr6ljy#)2MuYVnvlq;)nIbyL=kOYnk5%)^_M)J~TV
zBV|U!UN|R3%DaK2m=VD;Z-GOQKZstCvj}=4Z3|`SSvIS%Q^R_vcFHvyBX2dp2%!r;
z-{uo>49JE0&OnQ00ni}I#OKGS>Cllj<Fz+b(I_H0o_F3_oQHM|kxI?3%@pmQ*uO6B
zNip-~aN9F!h!#lc8W!I{NEE6r&ks4BMvhYQZCvbBR5HdI(fn0U_p>Stb<W>b2^=%Q
zFS1ZcO#A`no}XC(TyYqs3H<0z?3gj)kog-~-pT-S@KjTyHn~18{4p&LT0keSukxuS
zNu*y?cs$RI1=o7eI8AG($j1kQ<byyDC3#dF6&PcRfh5>y<o~>^1mDK@E$D&J*PJbz
zxLQUPT3Xt4EaGuwGdtsjihB~-R++huK6iX7QjbV($9?Yah<<AH-#%<nG<XFGW&j=c
z(ly;V#%2EcS+<<FD0`06g*pv0CyySdt1`ch9)84VBbmQq{J<dSx|8i^PkGJ^{<(n~
z0H1>6coa^vv6~sRbzJs2zFH|P#IRnzMjCNrfuZEn*!bit`Nbnfb$#8(o(!^D73t}Z
zEGh(cgP7Y}J)PIbJ`-lJRK%xk-UckDhs<WV7Tv!NZ;VY7B}O%uz+Jfue(9z8Vc8Qb
zO~=Z6)?qmt!fuwT^ad&Vf)4iG<BTNww{1na2?WFZYvo(7L~(Il3_gb#NqQL0{YLc&
zWlGZ<lagit4R4Ak<yTK}Ba#97n7*hdWhYa1tcL_yhM0X$?_yuF`EJu8sgtTrE=44B
ziN}B^B4!A`<Eg5Yw&8JJz8Bg{p&CsUmoT`G^)e<};khIiLnFK)cq8$Hb(RYdk`3PG
z8r9U7ea>q0t#GoQ)a1D}VlI||{n^Jw8m^T<%}P(~P?I?Te9=eP*vHT#W@|gT9!#&6
zkd>Zf8Rn3AN4-C-!p;PdYqLToU<PfdsAjBAHjNyoTL4+?ew~*C2iCn;2(Q1d8*+N-
zI%olx20S(=>H+MH_ShUZJeUEE_k1NX7Gg?+8Mz1<BwuqN^z3<Yd$f{Ma>)H_si2q{
zTJr2MZEcAQ<uta5B)USj#eB*1kY@XB;>$FxiHxkz`b4MXbCS=m-S<nAK+?$2FIxjG
zXHE1a?ub{4$3>LzM!JtXuDvW1d5PL~8>be4AJopaM#qPs>T)Y+L^97t_O{Ts$s*{V
z`LTK+qAZLw6H&et(?H==o2o&gpnM$1r>0u=e%B)nu>EAJR2oLs2Y`M6>ne)H05Re_
zAF6{t9D#H;8u@Yc4A0(nIn150tce>N*Hu7<ne9Hx7U%}karV_=`9Rm6C;w8UjAs~5
z05}bNQ8Rg}vPb|)G9idLo?ix^*%dJ7Hfq?7+ukBQe%0lum7xajM=A_bG3d2;i()kl
zqygg3r6*X*wDt^)*Oeo3B~2L2k63Ouo4}jQCdJdguZG)>lIL?_ZCGUQC1}Rm)%st>
zX@`6=GUA^-8*{qr)?`3xBv<`4rA=zB(hhfYI1XVkvJ#b0(*~wK7+pOpEB5U=x6a-8
zk1k$ccfzYxjEs_p@^n)c)SlTQlvF#7pIQd9FIB9yV!g+5==Rrf=S<2FXJ@N-^yomg
z?97|4SP~V}dW8VJ=6uV;V|HH5YtKqq2Mai_u7QMAD+Eq19GEf{oAr0W%Ate=0*#U{
zGp)LnV;GUob%)S9V>I_lG{Pxtf>E0Mf~h6^(-qg>Bo|4y+XkHWaZi0i5|2w4M16Gu
za;+_7v0WCQR&?RX@iujt=!#dp6V3~hhIv~q&{1@QF4xXni|rLK5+-j;V<xR80xOVi
zxCM&kRdonX(D#tpWL@rKA5d!ENU*b~QJkQgT8z{h0C4aXF8bWk0W7WMX0K+CEPAi^
znWGED@D=66I^SmLqGY>HHo92zaIjRgX2IR0YT*LY=1Ue1(X@L{bxS|`IiG7|r_tM=
z>8GudqErLF5>&}x$9ao*o>SktohA~Qo1pq@hF<#Q*U`c^KIBe$2S--vIG3^Rw7h%X
ztl4=&DtWMm)oY~tx|q(4ko0+a@79t4ev4HgojND?;wSMTA&?RRhXuN^3VJIFTwp`L
ze9NxL)wQCk?$wvc(DjJyOS!S~a#$AR0JSY^W;=9TNBZ=@v}O@Bnsksoo0a6nYutbA
z7iv*@WX#{Xzp=;mt|G;KlTVwcD*gyEHhZ$RXakbUTBZmGhfWK%7A-s%0dU`BkJLlM
z@BHXwG(7@0j33_K2Tc#PjHBd{2)}Kv-d}|jSy~mQv}J^zcUY=!HRou>vtGl24u~=D
zcAP1FkU18RJ|}=7z>-g$p1Gkoo6CM(^$ul$i@!8Ekj(l!5eW6ZH`x&Cy|58M)aK~V
zjj*AnBT230EszXn6-=W$49P4QWToWo)Cy7k@jkDRgu^Jrt2?>{O_%d4$QhVN7hK2-
z4*4E)Y9l4H57Hq$_JhBH-ai`g4Qol$nXSFg!{XZKUqLQGRg%fK>$(AQcPx5A<N17H
zPV?AlH0C1v;o4-j+8@p6meL%X4v=Ooyh+_2!(0R-RL(L-J-iNCzgXTm9;fLMX@vR9
zcCB^cbSu|Uz2t^zbY$a2vIY+^$Y64f@RPMDXEM1dc78dFrJe87(1_jaP+RtZ7h-zJ
zxs;GZCu_HhsHL;iti)KfpD2byvB0zYBB)avs_2KnKu$NLh-WE`ip+4(NjaD;m%KVT
zZ|<ngtLd@c<4`Hj>&bt2R#^TMOa|o73F>=KZ0|?TLfxrzr~MTNAI;w>*KD<*`own(
z+Ia@eW-~_w8gE>tA+?8+E`9vA2`Y~Lec;(q%xHvC7G_-(_sT*Jac8+GGLL|r)H?^r
z{HZ`Tt7ff4ds3^x+v>2LM8s3@hFMwNI5;km$}Pr^@~2t!Mpk0gvpu}jShTdL^1H^Z
zud3@7@#7lPyj@TLna()~rWw{%pFLgn;8g<!ut3FDh>cklKjdUXr}C{7Qr{dba6i9K
zETuCmG&a(36{-V3&VHipeUD?P!=FJR5k}1QN8oH7jAZ%)8pDElA_H%+s%ej+OI835
z&Nf2&4@)wL9^J!VT@R`b9mFn>ykXE9wjYKbi&-eXbh6s9?_FV_QW%m)OuXpx3a7B%
zN#Zu{P0L#kNp2m|+^JvwLTuv-<YfFkyVnWeP&#DROz^`4H$^tLv?lnHfbL0rOO}i8
z974w0jK{9*UJ9yicfqY?JZmS)+qbN_pGAa~wz8TD7`^)%Dms?j0<$`oK0A&n7x<Cs
zQ7UOjwsQexv)@UyP)nCpW4&8~*<#dae&c#fB^H_D_ea74iAA>1zxGxjA@J$AL@0~E
z%}9{`Xp^+=gNzQrlPCan;8FJ8Qq?c52@=6^xJW4at$7doV{y)j=rHwfyagPI3Ww(u
zqtF1VL>Jr3XIP$1hp)d;iJt<eGv@8Lg0{Giur}%V6QW||8(di7nUOR!rh%y=g5faX
zZHBiNE&dcVXX{*u1=#L=G>_wD`y^%65cSr_ijU+%HPjG85baSgdg<hJoi;vxmNgaN
zXf8N@$sMHV%bM`yrtfm)5&ID&F2}nsAm<VSu?^mx+7~<GG3RObOtW7_MWn>l1IVyW
z!ImxJCX-oc)YvhN9W)OYmlmA+HZ>KV7H664);`@uKd?YEfA=$kH}C;)%%hP_<HB89
zzz`@wLt(6ZAecHu{e)dk`ekaAT0Mf(t9v)EM+|y)uqa~V5SbBVU5j^a!&fc3HRRXF
zj*Z)mtAtDf$4?7<GU%W#gwq|X<)p6bc4Sxlb$$!Ysa+u5MV-(re)^_t&Itkn*M^k%
zedYILCKl&Vv|P<hCeu9P&se>58+haj9Q4PfTOVJNA}Acn^&P*funZ_F&+<OOtWhMt
zju*#kOYP#y^OZ*re`;sf^wc>qW1XS=xv99@ZU+eA;gbeG@@`1bc=<)Cvj(FvVRoh`
zzfl_TQo5sb{@ic+yDXv@FVn?<QQ8AWyyf9y!tVaQp3S&nTbog;FlJAOr(e@8&)&&A
zGzWzhfyqEFtmhm2N(4=81o)vIA8sjz@)|%?rr%fj@#d@2Yx~5Y8gnr)oEH%jQ7P-l
zkhw@d(0$2i7IkExe0S2e0PkCdRG{C@1>a0TU^@iOOHlJ8G4jc+0L(}l*4R8MnTgTd
zkuZE4Tf9fIg+_Vzv95b$-sV*1oH2q_Xuah4wBXUKZn@^DSBJ=2OyR$QD_^5v;l_P?
z&!eA@^@dukshyFe0WaBu7ek<l0gYa{<ygfH8vJIf&KtGtfkQEF+GgQDFx=&<dM7h&
zjgX4CY;m?;V#KK!`-|g22MhSzmu<D*H25YIOe3ZXfFsHpIEHvPzQ1)>n(=WL<6~8V
z!uPpM6caC&Gn=BMZrk+zu)nOD!+P)&d1fB~<!Z8Ovj0pa9eM2CqqvS-K0aSAW*I4m
ziWs!n)!9jvTI#pM&!OZt(uKDC#KYT@maQ_}K;g`Dgxdl!LW+d;LZVyCE0+BvNljfO
zmc2%XwR#~EG)Ep}RBr~IeH*palZrdGii!u8c_5`hcNcy0hyzNw82saf&+o_k`We*R
z>`g<^6;+Kozx#3GuwM!-v*5w`$+HAc(6-lm!N{KJi<k_105CHJmCyOza-C<muua!l
z-d;Y88og`oU}9Y_>iDG90wvtZ*%lJ@aI$(z{pWGq;s(@ne)KyVgGd^Qs_WjZdG2tu
zcQU%2*>sjid`EX~Gj^EIeytL2ckJGX85RCewcfZ^<a-FvX~2ms@FCboB)6vFzE9W!
zrT3%PRq7h(q~^Alc2ck+<DsEwRqd7L6fH)hm$xa-T1Hw&KUHnPPY#g5@o=#<&{C1-
z^x93L2o-~uJJY`O;ss(!jklk)4ue|WHaRWTu!b@xnw@WLxtb!R9OTkBS<NU|Z%2T5
zdc+qHQ;50!MDqh}x!pPC`u6#Aqv9_vR_b?Ln;~Wt+omaciKIp*g1IFGkb-l4yK|11
zq?7Uxoj`l?>$2FBnLFQZYZ(+V_d327e0Vn_ewr?70U4?=RaNims)zRj9Yy*Ot%ZUF
zY3NR&1^I27!LY2h_g@%#Ub=2x%xHc4_ylA(^W5&Wod*C5m|bU=JFyMeQ=4x@kRm8a
zmTE7{sl3U2z0s%lKhdTy)#F~k)Ewmoxkk4#8Hzkd`Jrsx>ygQ<h)H{48t6A+N5Iki
zn)S&(h-8BTphw;&Pj$|z8Rg$E(o0m?wHC^fM2KaUX+3LdtN$pym&mH0D{c^Z?M{AV
zG5K>Q%BZutcF((uqIP!(Poy!}NaEr&bPS$P0WT-DbwqZDgpprs33<2yt(o1avKHMp
z0%LZ?@HuT&G0Htqx+yXKj(2qh@g5nGpQdJ?lzDOu<m1E+^J(S441vb$GC1nK?D=zU
z(686N_*={pWv=&$A+N9+waN<~VTCo#kIuvwHiaG_?C7VW*uwH$TJ1Zj_fP`{^L*`h
zeBa?+iErtr>C+yuW0e-3b~A=)FnCnR7l%+NVre7>f`xJvF(mMT?~KjG++<cGPl1XH
zRau2XvPJu;R&)Zi%nWY1gQ$fS8$TB)h6|L`wHa+%SjDKTD|eX$pqmfYo_@)MhSTM8
z#hwut2bcueH8Z<i!|dEt@_MX%5+A_#1wW^_?XV;Ok0))5`e1UTQpSxzuyHXxi%(8#
zM{pN){SIAi3`Zyq49f5}wn*IITVI<L(FkFv@L^5cVeska6`sCDILQ2za`K*|Az^f=
zvX}*4cnG`kEUWM?a5nS#Hd;R~62m%b@_*4C)0be%CWP=27RNTD)j(0Z&0*AIqn;+;
zcl5G%SVrWwu{2rl%t|9_kEcjPSD<C^(*sMjY%k(x^!2xRswQ7-Xuth2j23rK4063k
zqpwGyK@jI<9jbmk<Fc#D23akPd@75M_Hc{6MY1#N1xIvLm}u-e3jh;}QH`D)?C_R|
zcNj<vM*9sK6X*xTIMW*gkc%lV0(t8m_O<ra0C%eOr6z>;rZmUUTx`pw|56N+OD{gL
zsiqDBjTSZ^6hG1PE&fNpC<}R$b@jG$lbLSGTO)bo5?y@;6+!Gz(3WS4j-#|vWvm-G
z$xE!J`IDlm6yF7Lk|BP&tzAa9J-B`<;TxaOoYzD0wdGY3i=jNh>m>WS^viJ?*-xxH
z_%s4En6L->kouPojoy+XsVA!u?sXtbyeYxddx6W*V_;*&ao6Y7G`&GhcMZl2%ADB4
zo~Vn7etAo7M}i-r8X-KNY;>72tGF<NaZo@CQF8ZaulY^R_v0Ec|074lHoOI`YfoCI
zpT}DaFSeo066`fx3b#$1AfFI}Bs9LHc&ga|$$G1X^sdfF2n7O;Jwq8K8S1G$->ky{
zmMQ>ZqL{AXR+{)UO`2!^KFYfDSp+yEM}d85rC7VF2~|vJ1bNG&Hw(9M0Cd%c&ikn(
zXt-ivIKSU@rDpYj@D_!jWjX}j@b->gV$6`YxY5lFCyaf(^C6<O4i4^{)aa<Q1sv3)
zTi5RqsDvGJzxf=)8>*m$Xv|(Ykc${kV$$sq?gi^=q#LL|DE~ku`?>LrLQX_d($TAU
zq?9F5tW8|3-My7BG}Q*<gB~FBv8p90pRb=#uiua<GVXK4w#)PTumFN+a+|p*o^GF+
z;$nr|g=+ov_Lxa6RozZW&4s)zh9!5O_m7Y`9BAobp5Z6F;l#;XRMv<P4h*6-_8?S;
z-rj!6?nYEW%PGzUmP>oXOyi=NjKK``?vy9r{LD>(V3HM|8<;hd<@EjtN@yh2f1fJE
z7<x0A0-)-=jMN1C-4^3U#NBe;M20eNY}O<Vo)ZfxPV%qOyzAm8{bYh|s$_1mE4ezV
z{xFrnCp>JH;r&=ci1x$wouKEwZee?K4`y$@Jn)^O6L3gN;X(0$L@Th^Htz;KPt&;b
zU~bxR%j(VqyW#S<(5~CaMRC+fc7BOPOW{82ixWjXDZN*s1MJ{v_YHu*@xEpoj{fQ9
z`0eaSLd~D9KDcnccsXDBNE@p}+md;PWC?L787wj*9FICHr=a||cL?qrS)=vdV;+0^
zMzvt~tLX@JxFqnD;jNgOuuz9<LOXmVSeE<7lck2LuWZVp?A2iq$oeOg`Rpawfx)_?
zY1HA2P&dc*HpNnoQUN1J+NdS{U<$3LRg6ywJ~;mUB*4oc0#-THoigDy3N141senq1
z@|!nL-xM-wK2=Z`E;}8N@@0ssT}b-6bYa^>5&1mm*~@>YxCW4}rcP4gjhG-oPyTns
zoqsfU>s<9ehMEv2>b8rS6#<5?7}t2BwKla{V=y{T_U7ib?5w|`PY}~i1#>!!e-A>&
zFnLJyaCBiLXG*&BpNwz#aRML&i-I&yVoGxq97#TiRtW$SGg)Fy#8A_Wyy0daaijQ0
z)1T4+_yYi*uIzf%v6?w8jwBAmWcr<cHbFFg?}@<(knm;`Lm^uno(@}|nY`vVLx;JB
z?=;`<{#_XTGt?@{30&Yo2jZL*I41khkBf`OnTB)F6mBaLyUOfrdKw|$r})tXz0VFj
z@^n%Neh%>0FsTRN0p-exM>#>kq8Yd@&eJs-uPS7S-JJSsQ^;Nn(HF?78;<*Ht?8WX
zWi>}Oizk;a{=#+t^^)*2z!OoI#O8j~182~YO-=Vp0k7umNtzGW)jt5dX3Gmc6Y-w`
za2Npt8>Lqxz=mcP4!w=1>#wl68UvVY2S*+^f5AN)h#Fcn#7yg^6v(?-aaZz$0QkCc
z3cx&*PkBz`_DR{cjnx|VI{<uP8Vi`MBhKK9zmavIB5{bqQ<ouC_q!Eoz{;q|0Q%#L
z2+C^xU1i*O(MuL2T)|H+J9C{u81nYORtppW{8mNtG~hQqeopH;iVO+o9X)j!659R5
zBCJPvc(80>^iC-o41f5C+YsdDT8H9$9&hTr5Rsrn287I+6B~{E8?;Y5MoHtqlSKmP
zZnN{FlGNe4PzMY}A0cenf3`{FYwz815PJX6rur$xAfseky7EYd6K+KkfMUfd>M^d|
zzu(LxK;&c-*;N@aoBN+AXl5@q%AVn%zzZCG#PR=~j;vT?wNGNU_5M%fMMt~=^0|-1
zoe%yJ=J%GRM1{kzH;E15!jZ^nCptp`046=GQ10)HK=pbgfCo&BEIc8AjmUV{DfZUh
zzst|Oh&L_j{OdN5KnKcZ>(43B!~$*@HUsamy6%LmLTXf0RC02!s8)>=CPt1lnBE(B
z!wtnSjbMD38}{;SmX1)q;T1Nd0&1EIIy(BXr3&cqt8#!YtI%I%wG1#xf&9NNv>ujQ
z0$67iUVxu$ToC;VbfXAoh|1MZ0?>w*W@f9S+?yl(MfWx(;hB(ti#QP9Fci*$h;1bZ
zb8~P+`6P;d(5`FlqpjZu03P`G_#kQ(VlEbNOEnr0u2WXj-8<^^*vyf7;5HoPK<<=4
zxxvKxP+?@?p^zlk&x214z4s9<q#Dfe`1sh>)wP%PK5>LCu@Darq3RFN(-wPySyo~m
z2#zuYz+nX5g;Wx0_&9OG^(sh}L+z$pG09@m1zPiP*$0pWM2$<jok9Fw&WFA^<HxnF
zsp_bp>a=C?xX4Agbg%%sED^K(8ZLnG`~{T|g|a{pFLZA#q>t<`rY0ziLtQqJcr_nv
zWV$Y8bp{#sg^O|OG@-_VHCNLL>H&5r6U248u)H^%gk)N}Zwc}EobH9jqN};`&oc}j
z@PXsCADVYllO>!tmb(@|e*6Zzy9hYX-T`^Wi=R?5avNexsY}9p<HbAlU;A2_T6822
zs>xDHO^{HliQ9;J<iJUXW5N$XgIV!cto}l_|EUuc6A*SH_oH_C5bw}}yg=+X*|ZR;
zhoa<jwC-uoUjJosT5QB`smHVfFK@{CsoM@lPGWcz$z8(LttT8x`;ub>?O%@k#l0X?
zIR69e?@NH)f=$_W^VA|SbIrx!nY?@>j_mfb)C<54WhC%0^`e4l#=pDd*UzEwJxAnb
z_OmAKKQ0fLf!$G=@F*+jUws9SA^-;S2RcE2`CY+3-~X+2^WZ?Q&wAeuivJyRnj_Bg
zmmDnDqGzK?TpD02EYO3kFx9V`_iyG5O?Xt4($lBI&s#>hiuw=>gTpt2L5xZs#Q|4X
znOW-Z_Qi!Y`eTx!p`+vJ(I<cvhojWuHlEP`8r$y?q9P_EP0^|izXKdW1202?q$K?J
zM9RqFq*+oo1@aEA#{T^m3QxvHaWT8vqkpdrxWP%2Vw@HK-*4pf@qT^Z3@XS4*6&a9
zRG^IL62c>+w*ufD%wj-N8&>_|z+ZPrx<UA_^R7@76WoRryaw_{W18m6%YW&IJ;2vk
zFwbWSoR*Kl-cVXGH81#QJRwkr8#WxxBl6&H_kd;d8Z|29U%TYj&(Gkpf8+wn1!^(=
z865m)SR9y9`%9^Ze_wh<i~_iG$lS{(q2a$5TLv!QW#SBeA@u%w0-)UTU$3ffH2`oQ
z14HnQoKSS~4|>N<x-@%lrM)Keaq93!=uJp+Bi19OfB0YoPOHkroSf=lQ9F1pR^QV5
zr+>f{14V=J04<m=P=2ZmxU50Iz6$aEV!@yP(=vc73m%2f{<R2yvnU+u7a{OxMBpFW
z4bUhu3S6-hR{aB?@|T8`qN44T$ll9Wbv*DZl)`Ybd+@#|1Oz;Slbu3(|6fwf;eer%
zW8j08#PtEoiudiF3GQDChkL-E-w{$Okc9q!t&OBSoGtECgk;k}?g0JH>qk)^^AA4Q
zuQ$CD2Uns~Dn|Z`Pyhct(<|xCG!UYqqB0Vq|B3%iVsxTjzNG;JSi}?5WunZHON?^J
zU%ru)gaADNy31Kk(r=3JmX?;{MJCb1bJvui3y4;XC9D6Kn~F&Y7sIu+wXJ&y0GY&d
zt`P<h`!4W@ca*{b!O?^rnE#QQ2|<mZ%na;qfQg=HT07>iCk*m@+PDg^moH~$>X;`L
zM%<CKY2)L=F%v>jBPdZBsox-H#5|2D7u;#Y+tRf~)b<O|Za<9HerfDBS2&e^n<yGf
zlA0p%r6?s873vz#Zu@9ooc-$_J`Qf7hay^e36<^+4T(8QBPYF;JQ_&$H(}p#mbY%*
z>DITPg`!|nih3i!($R))t^x2tRTUNXm5J;AJ(4*hD^edF7CIt?9i%8wu;b#riRa=K
z%mWb+A@GOTcwsWdDjn;cf;NkuU!pYq_ulh!S4lr_g!(g6B4C}KkP7{}QB=1J!fa+V
zQ@-h!GOE-RRL^xd`H}N`dR__wYzDOo`J;2Jc)+hwAVQ?+<?RbVeF?AI-ZDrdnc%b_
zHJTwzCe6f?e^j!ad60t?A3Ot6ZbsgHdD|eX4Qm{LLg&)8Z0G5~B;eocxt}Kcaj|of
z_G<(=ZG@34C>P5q6A7a>2Do~U9<EkOdH?q#>T?U7QKSdD6Q?{DLvj%4HM%+Cx%*mH
zzE>}Wlc>=K89Mh>+nt8t_m_VDF%3Ee5z6hhEV`njE1G7t-S^cEI(S0>K`qd%qDL|y
zyI2H^Xo+}^Q~AR@iRov0L`Vw`ws(MiLFk(+YVyEnXKEMt)<%3!s1+tH{7l!M)C@b!
zG(<CmMg?ftqd`$H9*ZK74}IrW`$>K<AP*?xIRHK3Nfqegm)@TTmFJ{RCMBmIX0>-h
zv&v&-r5i|JO-kt!K_EZa3QHAm;p+@Yw8&rsJj_$DTEKJw#il2V5WhNazlUv!W!>S^
z#(;e_0SO(O4kDsU{l&AZxiXcCTJiPS0pzNe{oHE;v*3h(G?*p5BF0`lK6k8*UVs-@
z=Upk<Kcg9ZMTm41+Vca;+|IA43oB1IyEZju_W}@Lrsyb*UkFq{m(HK}>83%VJ@I&#
z9G7;DHo0z1&xDkZ>mA@x7I}a{?`SE}Q2!?Oo+PDp-Kv81#dP%QQ}SyUhc_<iM0K&j
zU6d@P_phdA#45jC!Vq@x8lxe#j$|cM76PSbnWIy~V|YsS`-|R<38F9DDpM6W>bhcM
zR`qmMgArg~QQ{EE`^vc$f0Op-qF_7&^xpf<<8noBU1V*q^L+p+gW+^^O-?rsPS+1L
z3V6Ti3TI(m8}P?DmTJWR_+uPI+lQ-X&1&e1Ht*1r1YHN6{j&@6!LTZ5C=sk5br=7>
ziU`pl7z0uSv_`D-s6s*oTg?%%QuIl(8q(GCdT2?YZvaT3YaxSwf8YrsN8@=di<^XQ
zHso+xd(hxQ;EVrOLGh~P+F9MxMGN>0;%Y@-TzA>om&<)Pi<p9)X@<fS>5Wh;sVc35
zDkGK#F&Gg!`5Z=YTSi6o%TgSZd}WR;^03seO@&QaBmstCjnkzEjge2Y(=TwI*8b@3
zCNO8kK$tsOw?A|bd;&wI(b@aD`wFH<2gJxbz+*r3#Q-EIg2L;}R=VL%z+1y^#zSnA
z`!&;IQd(E*iXjh(JSV|p0C7g4RWu?mC-vSss{TNVKCw}6w@P@$CVv)sOrDas<Y2VS
ztgD=1jnTqoWXidsK5M|v-Ld|h^H6T}=gNtLah!8dil$jZAU3mwffv|u??k0T3c?p_
zzQ-RJb%&OdS2RCxaPOYCrvzV!f!`my@POnRj1Kn)Za&?|IR6K_k08?+@n{dZot3{c
z$&suqbu2QurD4J;S(WI$g)l4Iu?3{fvqp>``EBKo(gGmp3FL%jlR{_L)1=|#js!P7
zK~*V-qO7Zdn_jOZNnR22Cr<~{QX;Sp4iBpSW-kPo6zb89ADOhnV!ALO)Q~@_eSG{M
zPY4iVdplb#$y`0~lQ?RWh^$S|(t@+{u9!mt_s6X{iI2}t9{<<YH)5F+XyjlR1+#X>
zu|eO{@;(Edynhk7hy!sJaV9>o6pTFui29ZB_wm0kv6+BNzqUf%O*W*d?(Phw-(UOn
zESo717lRqAG*_Zg4GNynewmjU2Bl}BM0i4^?D!uK0FFhhN*$H>a3%MDUe#@eZxlWG
zVVtWi^#%~}G*;AGbQVygUJK`(>h~9zg1{BlPCrfzh&1gS!Sc^F`#qKAC~)m?#cUZJ
z5n>KF@m%2Qb=YyQ;H%>IGz*F{<qIb1-e}MGYYJEIeGT>m@95(vVB7ur6Fmc<SyZVq
z9?TEOY{EswmD~UE#8j|1f(NTx-@m#70o)51$*)?O|7r=<m|!4dWPPTtCiO)<0G8yB
z!Q$F4b$65SZhQmn`OPUmzX?l6r$rF?(TH@eoQp6uxw(%g`vHXs2F3*?{EU4?Fd=-G
zwSr0(&8mTxzK!Xc%7D5-ItVnI8PLKMJumgo%E5Zd>p|YY^&4c%(GO0dP*=4brHsK6
z!@%r;H_PYhMtN9E0G9DWEUQkT#_Q9x@RS84NgnH&bur^TkZD2;#5TvZQL^7N*A<1h
zb}P%4Ek0cCLF#|8up%}c`2zGKu6BNS9lX2FTO-Zbx=`Xbqc(a&pCJ_TJQ!8}u};w>
zyH^J?gv(P{o_@IIK#UQM0GotBio8(%@W&VY+_HE_YLjejR;`aimaL~y0UY-P>=O5&
zhsM<Whk`j5H|<m_K2SKGN26jqZe$+t{Wx_^`uEz$g^3!@fs%k8q_Bm4kKpCGCSUi1
z5V;;18?X0Wb~^{`gC`!mWskiZlb{bT1B~RR2biu_vyl?Yi28xTta;@md7R_jd185u
z-diVJ%A$P0L$Ui^Bv;bt*QchaC=q6x^n8C4@E5bhJQYRI9=U6-`DZrpA8Y~ui(C)*
zDLnqLqM8cWGwL7mZT~R)PlMtXP$0L+xUZJ^*S=5(riWo&$tQ`c&HD3e&L}92&NgFz
z-U$BzW{8jd|8lVIn`0&S|BNcl7_!u#+Tgmo2&!X&q3t%pHBBX|+XNS9HM$?K7K!L}
zBY-M{cTmy+jiki1wY1JJ4ja5cDZ^KcSxHpvxGKOv407)uTuC}uCyL<Z*>1F_5&)JS
z^#pyAo@8s61I4HeXqc-yQ+2gl>j-(BH#IB60Iv3i6(dl>x;22FPHkjQuExkl18XOD
z&z~HG1AZlT0s4*=f~}=>ul<k8?vb2(2f#s=(*xcYpPwFj?IzA9DYPVjiAW*WLd~UE
z^YyOQj6jEywcZUhW}X2J+3u<q3Z5*3R)g`i>Sw`bQ0O8fB|?9+&io%{aK_{HJUg1c
zu?<?SLo0v+uny|H|L3YbPKSHZ4$HE~b>4m?I8>DT!I78FlHD!N$GTF`GuDnsP05z4
z)n-Z+weq~^eB!A%?*;&yKq_9HH9)fM=8*w5ldcgY<!u~sx&I$Fs$dAOp4~)+!yPy)
z!R7iS;FHR`i&w@C*y5;~4W4zAgCH~if2Ye`o#V%qS)eg>Rn0q~Iba)TF4tUYp1;1b
z6S3nWM1^1M)qzSm(6>Tg*!PV!#B0M`C-I7Y&^fxgBL6EsRzriyK*D;ESlfy)d=OyA
zC{@UA!kf?jh|;kP(G)1TE0Ieu1Ahn@G!58^k3=o5%srGni8;`aQsjK)$u451My1tv
z#JMfc!y3>LYD0Qy&ldrP4AfPvH=%6o6@#>3OYZgNgyH()dH1IXor1QOc0}{spj~!0
z9Z*x!Ds_KW<M8$m&_lOCqou>>kiigeqJ@Mg!py5k{XaBaq_hF;_N?*%BHY^l%4{I%
z-wpJU=Q;pLy%i-8u<lNjz#<h8wMY9Sc$lC!$OVslDbD8F2zAat@ejO{I`BjGW<0e7
zrdKUs;T>%ank((fRNn~jF+sIK>CrqJ1Oj!V0zzL~^IGy1Z~Rgt|HIV&wE^}Xh$3vZ
z84jRcZLOb!h^z2M5VX|W|FZ?)ZxCe#+xGwJYyGKhR)4(1*dKP*ChqbMjY5D)-~pAo
z@oI(j4=rv&JrDX*vqrjpDCKHLLs9<cfE#g9JT||C8Qm1|I$jDEh#_hIcA(RbicQ2y
zi4b<UefQ6cRFLIvX`?rO(DX3OW7u1%N^Q{OXfziq0tC$m1TE24pT9Cfd!EgG7Ry;B
z_;z_(bIGw*u~ks_@$$HV;#AJx#+r*S5do$R^j}@QApfJ^VgzXO%i{_A6&rfkT}2l0
zr7yz?7w3IT4W-z(Mx?+J1Dj_nt}o~hGm)YQ9`2W8BuQ3d6IW%;%3NBp5!IkztFZw2
zRb80#`R9s(p)WFr*96{`IS@fwQrSp2l?{-+>^r4+eSq5YK)0WX<ny&Z(+h_(%Ft_!
zTs|e=lxoiJzq#~uc*9UDzT{weEBwNhWGxMO^Atcn>bP%|M@L5kP=15D(}NNKTzbZ{
zHa2tuy3&!BMK%3da0{KZY2Dg$C1cx%+T%~LnENyC0oG%ag+V8kz1Btwp3T;}a(vG(
z^#D~pJXTX3C-$kQNyKxe+EB-<cla}htIv9nu0#iasCQZ!=AP%*iFAA7Sbv!KI{qkm
zt9*bTHV(*G$}>v+dltZqK#jLs^e(JS$6c=Uj@8{iJz2hWHN~HbRYp=2;pbuHibC++
zmo^LR`i2i-Ggo351)HcybVmQpDB(WYTrbb;+4+{27qCaR&ucx7ci<ucfLj=!>Dixg
z37xf2T-bnC^Lz(-6SD5tTqc@V|41*OFD4-XuF)NsR&a@0JADY6jdq;6Qvhvn=SAY;
zwDauwj~1*j3X%E^?HS>(C;MwF#xvZ47kgweFXNqY!bB|A8nP?k5((fui~%iZr{W*p
zd)7I(rgP~gyj{BQHW9I+ciZWJFu<MD;zgWO6UL7+zu`aX2^{OWp^+{+K&Hd>;~m;V
z`niI_!g`Q0x}ThAsa*D5>~eO)ush)Jd!zTzb<e@{n~|Oz=;vUmx0udn=5q<!Y#6+V
zsveQ#T&)Y7V!9l#OE33#%Np&OntoWqM{}U@v2+)xmVCU>&19Q>7vP5;w6S{L6Hxk@
z3lC8DWNuOjy8J-bIeHLjf3Va6PQ3>8oKa<{0RcB|ot!O+Gyw0x*_*K#*TtS>dYKE*
zGodqOD5guPqeR{B_zqsmCAbHV7mkr=iQLzNpDN-d%mADfhalYZ=rx&?r5DIJ=Quq9
zQgP&_vyrX+lYLNM5XV_F5>~@ZJc`a*YxBJ;8jP|#0E?pUtA5%i6J>#S4C?$`>l5X7
zcev`3Qn|knSrg@w$sYzR*%^?C;LDlPUs}nTHzXqdhm;2PXhfqQI^m$A&+^FuE(zX`
z$ZXsfQI2?>xJwf~HjAMg3biFAk!jItryyl(^hxJORL9hdy_~3e+*ME=?)822y&x5b
zE3YflDVUts<;BRR5q|b(c;&d%5YRNT2s0!4bt|r`mp#V9Q7_|9l>Sdw*B;Mw+s5%s
zMWymoPf~Qk>#(;F8tqk5kr8H-Qzw}mHpdxZtfzD&hs<Uh62okxM%W4=Asf=>e9ECT
zqjGF2@6Ypmo*uQoet+!q`(4+4U-x}q*Z01z?}ac9xrg($K{Dy^p~b1HOd3mTc<nM>
zpTL$8fD5`u*#6Lg^%UsTZap}DK}wwHPVa|#-o4;!Wzf<ZEOfkZ^$Mc@12r13j0t|}
zilDKYF4w{KcohKLD!Ij2)}Y6*Kz-tD^Fz%jRL!(=l@wuHje0vTDI2i!U*<6lc?;CN
zeeL!u8jZFiU$ia%R&P@2Q0jGR8X&qq9voZ~I5*Ov*O*NPv3*8F?@5a7gir%01W1WW
zIK8<g2V)i#wOg`WB>~Y?G5TZxwboF$p-^xA-Fo~>!FNz1ZMcwe&Ttd0#@l?c>!eyl
z&Q9}HzIRX1GSu+nHs_ku<sVa_k;aFB;`(jz`f*?2#|;7zq^9Zlo8`jZNb!feYvn%P
zeQxy6ehM5n)c~GouGy}c7jO2y>bq{sDy>sq-JCIhLq2KPe74}UMibrM%<vN>oXEE<
zf)#4s^HMfw<QU8?NMAaUd_yplhy79~w1DAuA8r+UT87<^Qa0j<6h5lhanmg@LxSGV
z3u>aGqYYX0cQ1o<yyH8pHvAqPat6CAZSSc5c47Sbjta$!go<2f>NQ=XfFOHSk#Q1D
z?xW>4gvCF;BOv4@P;$C~m_)9Hd18>B*-o~bIxI0th4$%<oq7_cQ*y9qmYhAprKa*(
zFpGqO;*86-iJ0}0Ec=IrgXsyveSxbom?WV7w7p_jcez5+(37gcDHXT4ZZHap*YCSC
z4IJw!^W;$*2bVp>icx7w9f?DirpO#doK0P^po^hEH(#ZFdK!wNZ`G<9Px1Kjeq3r#
zGH>3lBgzwV!|oElkQK}c8Y52Y_ru7TGicm9lA<n;p3DM`V`zQBYUc$go3<^nhVyQQ
zY`3RN5TkvE-yuIPGf%0Y>I|^GXfNoSIwLNhwck6~Z2$c27|a}gR_Hvf#0iL5>=8$n
zey`J(Y>LeT6}ql)CBpV3_K-qc>FcYc!Xji%GniL_2>(i}zr}~>o<s>ka)jx{eE4JQ
zD#)(qM&e2R#>86>yT}$j=Jc8m*8OG(v=H4asrz)D_)IKx0kg|^S?%$xfhBje#=CbF
zZ=YgxK7D4Z%T^ZF$9+?O=<qV&GAYwwh+6fBrCv;IgSydY=_44+8Leu3P(tIyEYzxx
zHI1qx9m830t0_O)m{|Sjd}d9_Vh(<V$g6Y{52bA+<=nqXa!;T47=@lDA8zgwbY;%F
zdi_`5;R#qiwcrgb6J@=Fzt8vVEOiYHp6r+W+!4WNj)ChUGT}`T7lM8BL)uT-G1pQ5
zaM#GtP>C-%pe4FfZeT-Q?Jj;HQ0PRP;%fcUM#yBzwIXUp+F@@^<LFnEGKQ*xd&N%E
zzWl{ZagmIws6A|KA$0HV!>c=3eJZH9%&y^e5r+AIb=Fe*)e7x2RGi}=CxES@{}>Ub
zCOMe?U^M$uafD{Xm2rb5i`SV<o{g!!O%`ZyZt5iA-?)@;cFjnLrNV)TPmV7JbJBXB
zQFGEl)9$I}-f6^t(T<>JyUy){jm1)v^Da!ol~Mf$snD*>@t4h}no*h%Z@Ial8|rq7
zd;yFrx(v6Qd*uSzr3Iuk_xG2$Tvxbe-C#|zt|ALz#|q4$JEmKMw==@Y=_#)5jZVp{
zFY<7Dc>*WWUQU%`5H^5=b@bZfrB=WqfWSh!v(FxdkiWJ2>XS8=`zKk38l>?pVTd(}
zzD&Z@X)zx02X=nWi;wCm_jt^&$L?R8ZqdxcwFfjU398CIZy2lef9Es4fNGRqdxf~J
zNCbh5GV{{fro6&ef-&cB$$!}C(0JQT-E$8{a7x73)ourKhizmq9N7)+c-!5E)#PZ8
zn761cn%1KWm-3V1xLC{?yJO>x(($)5I_I#b(xU-t9h1XBSIwpvk6hd+K5ss$Zbud0
z5~)lrm~ZqKz1=$hE_kG&1R<VTc9AX>kDnnv-8Ye9y_6J1;hV<XiH9r)FF%~Y-~Z@D
z&agy=DIID|$y^?#k~<m(vsHY;M|Lu6uF-df?ibP@AS1RY3k@PDJskKUfDy5wsJ(MS
zG4vG<?PnNo8g#7oE8#qYQz>4g9^n0N2>-fPdisUO1Kcwj^v7p_2NL55Mk3%mR>%hW
z2RZTdBN<?&yw6Gbyt%R)-K8#;YD)1*KZ2=cH(^dLBG!07vFTOWlSq@<2_APNIH9-A
z-J$H_RE*{T2bxUim~y$<_F>-&bwFFKb{%c5o62E3%l9FBthSwve2#GIe!xo1Wc2p6
zCpiBUmdMIYZ#kpx>K2Q>{$WT<wtOzkJJzJfaDd=LTRBFcH3tcpI+m3gss$kWG7J4i
zX35I`JA}(hwwe%<B6|Hr8KRa_nclEc3!FF3wVX!(8;SW5rAha;W{cyVKMBJt$8sEc
zSgmmmizYq(i(7vD<FAM6W>CGikccj{UtJ_Wxc<*zEI0D<PLWbZSN=iEe-D6V8Bc(?
zn@UwZcsCG}{0!5D6dCuE9YNXyTx=mPPYE6A_+FI%16BQ77?igCqmtY=#&EYto!7`1
z-<BA;kH8h6ud`_H%hKN+8x*j1B1kaNvwiEzab2_VKLpV0t#*a2dwdlU0xo}oPVJ<G
zbf98+vf+}>nEhY0U-)J<p+j=w!|pCemMb(OB_Hv6t(fDJUE}9hs3Gbe@L1B4DPpt3
zVz$BAs{mTi?r!)m^8#0XFL<HJrKjr4K3Rlc3{W}?cv3*RH9gL+ag%n*Fr&R|hjs}+
zX|G?E(Jvpne`IY2n2O}1Id1uX>UQFlLj(FwP4Kn-WW#}M9Drp~a$~X$A<$=Wk&}}?
zW^f<~TRBSr^6gK8^2`dUSTNeI?0PS#zpj7ATLKx>18~do&~e8_$n|DDZ(63K6&UCN
z(ZubWb~o!8lbBAfX)Jx2{<Go0?6Z=6L<NRo9j7ZSD+&~GnWFGiNGMeq)B`-<^CC$(
zr7X?V^o6uQ<R`>oQYI&1T`P|G<(Fyx$A0%g@f(-XOTr}D7wxuEuTCVJqw{f$bQ%?F
zm=^iI^#M@XNKXuT%+AG{8di6u@RPnFJi?IElJH-w^uQ(pW`wyh-Pdi6?St$oDK`1z
zQ0)!f=CS*y<pNKw-k=r*^t?6)V58gRlAEHw?sI&nik`roPrft5xWCM4C-F$GfCv>Y
z+q}-DzU%<XqU~;*jPL07D#*OK?4hpN&PSdA{?>A|PpR~ZpK|%}0U{ROpkM03e>XGd
zSEjR!VyqbXKxabJ1F$o4gh_*xDY|qd&rmFq{a*}j#`KmuJU8B5)+2HalVD<iA~%5R
z<3xJbvq)U!W@;-%1K8y_V2DN}SBp+P*OQUt+k^jA?X%~jxUg3Kcq-nH1_jGFOZnf2
zU)~#tS^Cx&cjC7|{2~Bz^y3#LC275GZ8$J!K&iTPvVIU##+_Zp?N+QfLZjjvCourq
zp!naA>+F;T833ut<UmzS&g^=*z=ZsW!OdLRata>KzO5s3=lNcy@jqbCU)r9(DhHM#
zX^mX)s<Ih3*+Z+DnTsrru~PLHFsD8M=%_X;?noh|1f+!fSyvEuq(FTh8yDI~H)SyT
zele_xBU!nxwi*{E-ludsvU76>{85u80neI3sv<IQwOdWrS0jdj8}tF7Q^@@kpObQd
zxxGnD3crMV!3Kble^QCHmbrnHYN9I@apeLfEia>aQ&DFJTKlGbb*=!3`Jb=nG_TV7
zEpIj28msM`%POv1AGvbo07o=IUT0uz1~3C6Xs}tTb|`RH+dTWx%%p5NRzGu1W$<Vd
zfRqN~LW#ab+us|vH$k#!g)2n>to+HI;tToASTYvRPo_{gOg4KG=&J%OSY6>52@M(q
ji{2mj*<xCc5tigN_SefEsMgvh1N^Ly+gY+L&R_jMgT;6d

literal 0
HcmV?d00001

diff --git a/chapter_stack_and_queue/deque.assets/array_deque_poll_last.png b/chapter_stack_and_queue/deque.assets/array_deque_poll_last.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e4b0a456872b11e60ea365daa37271dd8722d7f
GIT binary patch
literal 59606
zcmeEuWmuG5*zL>!QWBC1NT?toAkvbO(jW|7f^?~L4+<hEq9EPfp)fQIDu{G<D$*?s
z9cPcPzTtQNoWJM#^pY7Lp4|K1_g?o}Yd<0Cs`5kxGz1U`gh=78%smJM2YiL~;K9I$
zB!eOpd_bM=$xA_syXcm{e*!IZ6)aU$Anf2f9s~zU2EoGY0{%jvG(Qi<9HI!N{rmep
zDC@6%z&V3$AlN_mhd}hfC+3eS_=h>>uTQL0=s#ynh5g<e2a<~Q`#Y=$><#gkx#I&q
z@E_jQbA~{On=t>NQ5?jy;JzUWGIz8*psSO(u@thWXIq_~t#_V0z`?-^eFD9SxZvE#
zn`$LKyA-k~NOyYPs?lSfH!;+UrAvf2G&Pp=j_ifjFX@cJ4yN0u617N*&W_d9RmX1o
z?hbGI<agOMH8snF9INi^E@p5z9L9}JDhYx9>xY>UBl8Y%bW{{2C1upxw{M5*D1=v{
zVq<e@I%@OUvR(Oh+So!MFg!-YKR*!Iuyau?jeK`<2{H%j`uh9J-oL-6sVVKER4Awn
z58yPYprD|58y(HU%)F$yJ7*tvOS<k_^B)%`#WQOBT*Q**ew1HWsH~*a-r8!@n=V^_
z-$o2tDm5KOE10jBf4A4^HDrX(sCnR3PwgFrf8F=bv%v`VabsDg%6m)52oUI72So;z
z+860c*(3F=>hf*6?1l<^bDbVPejnzS1TF0vmN$}<N8iGChWnm>tU%24uP4Gh8>wNV
zT#Ud7AAV5nZ4I04{1AUT^O?|4g0OS$i#>O?GqAMjg&<s9T*mcYNLBS61F_ZGH8}aQ
zHj3?&mX(>&HvJ~-!IeMG*&_oDs?GmU$8lfI*VoL{g8kf3@2krqmJc56oA5|N40Uy@
z+}8AiszNb07~+j~G|5-BIa6%C^PfH<m27l{(w<A`(b-@jE2f7Pd$K`>ln&O$D~C^Y
z#fdhF5d6Efwu9{CC$<A4=TG8qj(o0XSwuc<tdO(1X&-Mv^5(yNPAbVL6EM@8C1o^d
zZf;6`E}=?iL%-Xu?{v0N1iO*F(yW=lNZ~?Bx{1hfLEtUQt>wu&7anHi{-_@GsyzAO
zSU8hgxY>Uq0<_;nXi8OIU?Phq&fA+dk?Nv_flrJ@@a)ZJxQuFqhOstEZ|T+==W$u>
z*qNK2Ee>D$Hde0kaQx4puuezdyQpN^%&L&@<y%IoH(VmG!0C|f9O_CEaj$R~p@*!5
z$d7H0TFneA2MBEJMpWFh`pDNlqy+nSP=m7uun>$04LnO!WYy%3G$-#OTzW0%j4o!>
zNh|ghxaR;V#PXUdajqM_bjXg%K3x{>RvhtC$*#}ee$6TUKh7mbC?u^KDFA1K@iU;;
zU&^6->nH}<W8t|82?=%t1Lqn;L*PO0l_v_Myhh7~A53-Hc<F=*IB<1~{CD6$VCw|2
zjr{{QPt|cUSz2VWy>!m6)D=Ib=!?(mCGaq)u+PgtLLc6_6Tp7!LWyT3LsThuQfhhL
z0Lv=>vGXbu*`JNhC)N15X5Nt8V{B6spL`|WJ&FgPc8dL+cB36^=GtX04vzjNYj53!
zm8@_u(xP}apd||(d^S@T{s@SNvW=I*@;@>%<r6PiJk_K9&OQSlDR3^pnn_Q;;@zmH
zZ_{sh7T7t=w0%ps?&=>wK2zLSQB`(`>WW{Jw@R<+skk}vtcJkb)eKFs7!g6Hd1b%0
z`ehsI{VD$U_GI&<8-G4Tpjsn#n!pWoh=M}{nK*Y)y)7J#S4#ityR$Nb$_oc629-;Z
zCGD|v+i%?eOaLD_O{KKRUoY!-u@3t15#2oKau2G%{hbz)Fxn?hIcgW%zK=aR5Bndt
zObUet<q8P#<CB*!_pvO3&#CytHE1cmb<*{b$Jt92a+;r`UrM%AVgK2I;;_FC%YP}p
zY$5OF@QO`c47Pe>*(6VRnyM_wSMkS%KO^xue(cOZT|yOnLtLj)I9t~hvU<a|ugiHA
zpQV2xqwJc^pHFq=>I`|}p+BFnmmoJXUjQPordjNetHS%;PUY^u^Dr279-58MiUnff
zA`WBM^07>h?nSr4UtN~3kXQI)N5&aFD0%notM_TY#tRIeYZRYzDJ-Vzc8hxUM;>fS
zK=3x98CuY-TbH2%x?SwbV{zn8sXNsFeXPbZ*y)`DB2$Nte16_wG`VGt&~39Vk52X7
z{PS_H&5(a)|Kd8Yh1)n^rna-PeL?ZhUFx`J$UEZ0Sym_S6P5Db+Vv~3X8N<`?_evx
zwv(P5gN#VXR4_joXlDBJETYV*rb7}R`8f-T5x%cH^OyL}{r9FZSs}Kx(ha*R#P!kb
zKQBN}%?R1uCrbDHBS6>jNFlYecRByq{J*=y{<mfRHwgYW2w?xuL2!4=<H(x+cmC<Y
z3y6q_I6n4C($&`=d)_aM1I7M$?KQv_(b3V#$@JNWc~k*2Fzm(;zCxkDP<Ze4)Sh7(
zRPV5h{!7V1!q_uG%5y7}E52F&#uTOm<<uJl4pM(%$N)LQk$2N_!;K*T;yOZuJ{+3x
zPw1riVISk*Ax>1j{DPVRtW>65&J@$4@$_mi<^Jb6wQFe&WDxH~%N~kfdDglHf`SW9
zzNW#zD_u%P$g4pSCDgwV+-5N(lE2Q|$*jf#yOGD&dx`G%BmRXL8U>)R83(fCKc*7K
zY;Y&$hr4~k|4rxt4&a%`ukCaH_bigigrty`owY3IKN9jdHXfo<VbkP~v&2$?J6#%A
zTKLzUV&G2&J}Ja0at8IsS$H@lA$0wfF<pPmi}vJ<kSUfA{(nFxGkpX^DBFoUN&3H#
zeS}34Qm69d?2n3|sT=}*s61_aJNQ>eYFtq_Ha_hXoc1|dtAvgpZFfsJO;qvBqzQFQ
zlp?<!!I`rt;k_e!DhUF<=s}$q)ZE3nxewo+Ff%g~QgazrKen*2m<y%kFf5GACw<Nn
z@b=;g$>iVVL%K$4Rn>mO(RzDZo7d^Vg6~*Kqi*n9&rd{x=jnuc7Od-hj~Cnz)cjLS
zjH7z4h;0R2a5(3x7|s<?f;v4kIXl#`w4Co(lSoQTG<2G!>~~wAsGc&j8!oOtm`~Un
zwPF|)^*!7v>$<&CHT$Yy?*;)QX)x%tM;`r4w|@1SOju)~UKzdL{(b&R*Oj3Hoswie
zn+O{(8=EC4E?rN9?@{hj2rUukjUu1Z7MLu`%YiM=%SQG708XRC>3#-{gv(-2d3m{)
z!sl>?5(WgVQ{AJD`aNP}A+h?y7myRJM4un65+^(TFSr|WAI&InRbS)b;n@$NlVzL&
z@i4pgs{eODSjQsf>Fqo?uV26ZHlXSm+=%>LW_I?um-qPC4kz8GG0n@L2OrG8L?i4n
zRPyGl$a>YMIC9se_ig#DN|jwECKcAwo>TKbcJ&nM^>cP@qi$s?9dbF`JE_$)j!V_F
z_q(r$d>LaBziIE7Vw1U^hmYXbs=fc|+*!08fux+=vrYy+>({Uus}$ee09^W>?vTzs
zwb+OH(9Po7b+2I~_esx%B+VSvN%L?q;@gXiXCH~$^78Zb-#-ZP>dlZ3SAVj54z7A1
z`wBM*P*3OL=f6_{Qz|?jG|3cbnlzkfqgppO={LvP7;Y0ku$5i0dNKWlkL~Gt?S`?(
z*Pv<tGo!DsKkp>ItGtpME`G?$%slszkb6g%qeh(l+lhaQePU&Chk&=mon{idd<hn2
zmgD<-tL?aRmRaki_f^_oW}16hHPl-d2+x&IzF(`RS1!~?F6S2%6O5GBZZwFPp5k9m
zOdW0C?MVx!&ll2u;XUoOQlzOS27k9GvQcLqew*CFV$gAAsK^@xd{oc#cPxX{R8+Uy
z`L3LdJE6qT1De|l-NV(x#@=hMnWSkn@N*bv*q|^|wMk-{r@tQA_=5UCn#l=e#<P+;
zG$s92>n#lag$D&WiH}38)ipGFrAfs2ym#$=C+te<Yh0H4iVOsaF2-kgdU~e#pH}zf
zr1;gyeOI>RYv|U~^y)oYdC_Tai6XXsyEj)IG+n}VvKP|eT<1hPb@<(HRHBGetlV2J
z#!&5y-LA!N9BH>OEIWNZjMC0Wm#KIgk$uka;RhW5lNA$62!rSMH>0DY-1R#VWe7F>
zjJ7VAQ^Udh1$nx!nk-G>hhGzg9;JVCsMU*68<#2!HpBB!Y3%p6^B{V$`wOm1isG?i
z!zt3Lw2}rP_KuFl*^<E-vtW$%=Ee_s+9v8L`E)XuhiC*7U*6dY_dm|~mU6U#GFkC!
zd36~y|B<c0>TI|~0~lyxdlTFHv*9H2kyo@AW~b*xGNy~GTaQ-XW~1{71>Yv{e0`f4
zXt(Qhp;XM<UAaF65iA-znh)ogM0(NgcJOvvn@*#2yOYJx=wM6iy0g=xoFun+f^zF#
zsYuwdl5Itu)M8n;_&ELJuI!4qv}-#jFUHC&J83A_$169U;1Eg)zqo}b69lrI)&vX9
zZwBcNIV&q`tbjv&aSndULbCVz_tr@M2&(LMjtb$0L}$M7QR0cXJ18FW&#~y}7$dj1
zkJmdJv|BInTIOD&=?C$%9TDLcOFPjsZ^OKHMn&OU<+5^E6s5-&;_Y%*#Jzi!glbro
zbNy|CkITjl&4mI9YO1IqE~J=SOyR51L0W46viIL}__MMRWu>jXy=Ppk`W4kaz8bPC
zFEf*i?uAeDZ#Nc?$5iBxgpaH0)JSXhHEG^{kU8Kuyn_yn@b8#-yo*>px$QLl)$_@2
z!{fqJe(E-5m1F5My2y$R!r>U-ExUIoizz~NR+f9wBFDsac~y_U9ZT^a?L8qddXTgF
zfKy7m+DUu7@X+06w`3Yk=R2C_x#1?NH`~}k=lt>vz9Sn_p&+uHn-RZXmKKk!GwgM0
zkLE;w%7Zug?|))A=9VXhX|R`mIy=@F!;KI7H5~A&SW}_8ogxn76-AbewYm;QaJJYu
zVdv~u%lA>)FU?GA$9ur=pQ`tE@AT2$DR4#Ej(iPfFxG*mErcgjEInmLel6~buPwI!
zRwpIG;E7VT5r8yotaOffwbgl5s4m4O<?Y0vs8Ba^+<f!ON{J^$e9J7khm&8wF3rw;
z{NdRT1*J-3(VGkJeeL93DBB#7)Jk{1C@AH}85__-IQHrKn%(D}(a+yaKlLAfz;b}w
zC{e=U?V;V^fbf^nY49*D?mTl<IuLd$8rOPX6p4?|@q?qm2!8mv?j!Xpr(w371Al{|
z?na5T1GP?>Ql8R=H@(LX#&MYW*d(uh(swO%MX~3Z>Y99eNiSA2wU&_-HBx@Xc<nG7
zr<I^$O?FL#3{M6rxqZfc8E^#jzbZnrdo!h<h+pWUDAsM?<OuLQcC^jPK`jToBk=M+
zn4?C@Sn!eNxPE*=#o0%2zqxVjc0n(vkCnz7-a~%05Ufv5CvkJEJE&`MSg%)enz~$3
z?Y6Td8sVUL?^_pV#I}G=EKEr-D&;r@X+`u!JYUDM_6u>1BU@hGw@+wrP=#LFQ5Hj?
zzoS;IK%5E<?$mpWcGqDetAZkq3lBA|4Rm>mR5;%CtBM@>h-5e^ba<fwJfs{N(gV?;
zd3RNmW2f9!XuE?~np;f)JN+(zAfb*_Dzd*2-v~udjY;j`Yp>je1}@{e5f^wy11`Ns
z>Li|iyA0}ZnWKo%!3C0NqVKs7lTc*-Vy8*-$fAU+(8Fo`*vdOMErdZkW{TI>yHkFz
zOG~oWR66dQlL~wmHFc}dKyH|75as`BHSVBe73PiKDF)(%lcZzhmdk<*(XuV+2>q>)
z$Rmq5Tt?1uE%EKWvC(01i;kAn^5w-b&&6R*<Qq4KfPt|zOW(S$kzoSF8*d|hEYDWK
z=%YWhZ2uNEcROF2#II~__bal!EXnm*@(^DBib39zycBnefaq2ed7DOE5eNI>V3$F?
z7y1X=CwXjAM##L?-{@;I8gb4W3DbPxhun%fcSutorO{~2Ii)_I=;yP*R75gW?d4kh
z<fD566_%QTvAxa`eIMs+v2?-g=dY8z;wHwTRt{@rugZ6Zu^Zz9MNcZpRO;OX?&W}e
z(<SN+vP6a6s|dCzPOgwx+bA|5OIbZ2g+2QI_Q(xRu9~HOmEGCXq<+=u`rWSz2JIX<
zC9Lm)U7GzI3Q~{-!8eTrY@W92XgLw`aivu^dEIoXUugKz#&KwS)q{tZR<9qrQ<VX-
zVwaw-$@ADP<I8=o^lq0=`yB}rzLtYPuS!BX)L_5Ca8CzptPVi16#g)E2(MLFA{gFw
ztQ(Q>F=dYcb}JBP_nxZrRD4OpZ`+7~cEQluog>+7*<YuzYKLASD?07_iuLo=!&%<z
zYz*F(wX^GNp)a~;4-s{D80GQJFYAvWKjY7zB%hu`-LCBMf3y*yGDlrkxxQpRwq$5v
zb(L&vcsaVeLLL=bu))yF0*5+w+MV9!%{4q>;uK~Q;qNW4R{6XO{XS>F&Zkl%>oxm`
z@7eS_b9v`x#*NU(r*wl<J;8L3pG!?IXJ=;>nV_Z$X)ANA-xXil7}U9L;<FX>V{h8u
z-}@~f;B*66PLj;*m;!#MJH{R%sF>>#fVD?UIVl}WUbjjweIUG-ppCbZ1;eF#DEZn9
zO2U~JH(^I?qqLA2AIomqdd|X@x*(;JXnVQI|3p1i;*?(~*r#8U?5xh8a83MVJ-tXj
zvaqutac-CjZp&>Q)^?kh_N{T<yH#!mr&19QWV^E0POd<;&A9Yv3LOzw(Osc+^m5MW
zK5F3R8QbV-^T(JB`Fj#)$J_ek#le<K?0I>Ep9Z{^Fl4n}2mtja8%eia`)cXQi#F8D
z?|M{Dy7kK&<1x;FPF=<N2!i-8Mwan0EEK-paO7BYp|h>+-nBwPFz0oFy%Wf2+WKoN
zGTkcVt_BbU?p(`!N+Lc&;YLryT(qTZpq!vF>OxLV)6B_QkY5?$(=w>?b?8#-!s?q0
z3H^zqiSPp_&WQ#=^eT(8gt4aXqvlMagDj*<A8$0h@cXdt=q@j8t$HGDXi+?ImadUS
zIp;Pwz3#9^0?K9SUc#<|&*4%|Td!YNf&e_+a-8VhPSw>igQ`oH1fZLs_|TefB3H9N
z{PbFjgd5vT4Wy&pbvCiz1?VDaPjuI8OZar1XW8eK;_7*tHJl<hyJjbp--%^sJo<a2
zT7~W4@+*;b>we24*2SHret5R;(Jp&`m8xyQb?@}#e!G4Z<p<f<T<zWz;(y9crsvcI
zRmyfrS=sEexIF*(!O;C8en|&hOF=4~Vvc<4riPxNtSBA7DnIyr2Xl(~aEU^+<C@QS
zf8`o63O{A6WVg3PoT$G-S6rCrF!!Xs)5xwzui~MNO`aaDsQt)I2Zt=5HAf48RojMV
zO1W|v!oPkB79n{91|dgJ=2?mZ=e2)|$!n>j`9ShIZ_$}Uz^(UQrniLN)VW_p&?YOF
zT-}?-hE=y)@?IdOyc^dm>ADrB<nFrqy6(PRmRa*^yxxZ(rkB%HPTtxPDnjF>^1<bE
z2DU9u-blsjgBk6v3~`&HiW5+wQ4@8nt&c1zT9lIx>-DLcx>=r6TVeV%tTLJ#Ofqif
zFP56+mQumsU?zEVS?XKAd;1j9lKh52V^kp3p7En*O0+h5cid?l_l^kRiiU1HO={Fs
zs1yHwiL?MDS<Jg4jz5+Ed)qLT-k7Q(baShPAtf=<{+6#_aUy@D9HTgn+kSz7IQ}C4
z-^s@X8pPn`^Cs>~etq8OmzOl1lHywnb5O|-KjM#l$W1j3rYu`pS~72WRsZ!Ft=3mi
zoLN(O4jJ5M#i{x3c!pNnDoobM45~``PI=~j2aRoi7UNcM@2<@c)G_k=CVd<O=j822
zeu$4)V>x41Y$}}`e)dDrk%yM9T`Hr7h6nRcq#SroHZM4I3<}y8?f2uZ__vqrKU~rl
z^R#{#vm;)l$v;)#n`u=z(GVHEySN-{RR2JS@TG%~@q13Zl2$d=+_;oNo~gotvF3WO
zFOkkp3&eT~UZ<PEN)_FO^gT?2eC7*OY@Ge%f-wWT>(A5#jm!KA`B{W{zP9jNba!<P
zk8B{H+PSCf#^CeFGvx~G6jzo~`Qe^Npl3Le?BrZj0vso6;>P?6JxAkHyq4J<60^hS
zSIB&+xBHa1PY$~McjIK8+9M@F%T}BbT}(O28UD>eAUI$Ia;vwx6e3xcTI)aTp$BD=
zieRSiE?ilrS*+dsNVtJI^Bc@wDgi}7UcrN>KlZFsYBb&6C($4On2<Wbzb73t@m+RY
zPLs0foTpYFPkq@`tWLR$=3386e;MJ9{D*~XhZVoG+pe?DEy#YBj$yw#jouP2eeJl-
zkBQ*;5k%S1LhN8sXc&pNC({4Y9E0fns8;`z%w5al-C2uqbEC`pnpy|LY67>r#k?hV
zU8QY5jd7eq?jKd;T(R3lQ!+SyQC27{%xBMw6FWI5Va9S-6e&O24Q3Z!36a#7&>*C`
z(L)m9Cekl>W9-mCf_H4PO;lG`#B|iCCmXOFuFG2e*P8o+FT2G?$E?`&=_{y0=mJEV
zng0jO!Na#6PIp3`3>kJPGoP$gPM0qgw;uGToMy_S5BZv_7hd;ug^M#wp9y(vniA35
z@{LrV7uxB^itbQWsaZ;m*74IiN*qU6B*tC!e!w;MdZQzcWAfJ3rI3vA)2$>|4nkY%
z>HN$vzbNC<2IcTOW3}e-pA(%<eEPY^rRETn#<y-Rqz8ORKL6cWJMGC*k1@fL!-syi
z_9?@A2aAPkmtDlK=`~L!nhZ2SsxmWW3}Qw(hN5or6m|EyPkG7<2Q&Cp3DoulTCL?E
zSBh(GlgqM4Ihrm5iePkEuRjO<;6`)n7>j;4-B5UOx=ESo2r>210Nrs0O~%ss?3d4`
zRiw@|MR!Nc744p(8e;H`vE(mo7DAw<R!&4jzqqIXOY$D>lQEw!3qJ(p+i&<1FJ)-2
z?QTr_0~UwCH(X?0Xl;4bB>RH!*d?VfJ)~{avmaVz^bwhg9aYv>ZFzIfuSN4%hOfr>
zu}=sfh3{+!)>hm-aEx+_fuAOdy<aHg9MsLNH=Gt=6Qmnhu5%xXqjM;=Ct0diRHL8V
z-7s-{-1T5cLq&srigR}C11H~#E(0YN%I)4!j@5$NL6(q{v!|>>AlxX7y`MMmtlX)X
zcXfcze$dpwz^E9%q)S-j80PbJs(Os*D2RcOFL|{P9<Ea3GCdJ_B!CtN0}M{W^LU8P
zOy67FZtupVi%Qfm8~JtBf!a$y28(TCjJ@*2si>&|hcv5CTX@oUx?72|nXGEy>vcvT
zT?{4I$A}7KUr;d_cj+lpBPG_ld?NGcg?SaOk{ZE8j?Wm3RC18N2c={zb_bRYtycAu
zJ_E;US!pXTMHRqc(7HIj{+RE!Hip!1UAobqAy2Z<BA1CQhkJ{68kl4+klD;XoEFFn
z?;0b!2^o66bydD1skTDPIiWv-Yz;OxO6^AMG3m&udFrWLJ5AWepW)%45kxhx>zI_^
zTuxw?G>6{$;cKv{rY9R^JH+eF-&3WOptY79Rb#G@6cri0Gl>(xy-?VnDIt<`_^67=
zE2+||OAqTk|LyvkQmOEe<@kg`0rxLc;_4HrV?G2c#I|vjYT0M<M4RzE2Htmhis+wb
zvGs(Sqhqa$mf(CMW=(hok|8=KzVO}>%l2?uK~;@+kGq6sU&irT#pjpPMwdNYTq-uI
zZ8$w#NsGz32Gh6(m?&An7uml^PQ)+{jo_?SeP3)s*C6lfWA9x4M8Hm<E<v@ei*Olj
zaz|0R($0L}3nZA52T{K9r-8b<%{xs-DZ%SQuEifG8$ugDm7Y8{(m5Yn64go*L+p{;
z8#flJ_pZRv<aN|k#bcbxc>b9(|0)*Im8@I(&|=~4P$hnbspRy)xabm<;nks@nh8Lq
z9=CCnEM8yEj8uJ0#R7_CvbzJBG`{e>&Tr+?NmFQveB(og&vgZXeS>pk?)!bjBEQjB
zV*-prr+CNmlju}Fu9ba7g2vh~+uD*jmW2J#Y<;R{FLO_|b1v3V?;yAS_zjq4eNDxS
z{z0^{hQ|G=sGb_iwfR(c-)`Mn6Q44^H!uF6ei=!50R8=3!}$;0GGLwp&-JUkbHy9G
zf0Xq=JxLMzlmS6+6^-Wjj|2|$bn^uoVqp615e58e=WG}JZys6=A0Q*Nb(X~O<Hfvj
zDRbZ!v4Cbv)}B{%{T;u*fb$du5IE<3)8Kz>=K_TK|0lcm)WK|QY&ypw#jh|A4McC4
zY4;Qj&9lF22ZUq?!T0(3&-T-cvB5xi5c6@irul_y_zV%#`LvFoFX8b$1yV*lG)al&
z8YyI3^S9%Hhxv7Kvg&y{P4~B5P3ef!>w{<c??!kJzq<xdlnB1w{aZ62qUhNeqA_IW
z<m~M3cACkfkcR}^B#6~8NuRz+rs?VnIuVWki0&5|k*+TJRLP5nf-b1?6$>T^?gJ6W
z<>I3}n*Zw8jUwQ<scPzS?Eh|Od<nMSZ_2X$9mv0`;SHc%doLLGko|W%xD!%H@P(NC
zzhmgH-`8P^ktFXsO8<b{pWi;Rf^jZqm=ECZzfZLJ3QRZd>o}Z$%ME`WhnE3ZzyH1Y
z|F@QZ{VgdQ^plxdYG!6;dHFzHi}A*y#&b+G10c<wn2<pGjg8_TkqIvtG_sIZ9(jOm
zz;Qe^72cu}Y5hwqo|_URzel$uFTqWmnoC>NE;k4Z4JuW)oNnyBZs0eRlps6&V7>2|
z_)kGS^9pjcab4&hAxst8EbP|Q9j8VEJuzKudHTrIj|}+5im`tPa2ZrEIUQt+qP<3+
zSr{*RhYN_+AeW~yRQA@3ygkyy%Aru~D?s+5<FVzU;D!-6?S#fm^>sfZTx|JNOyIab
z`tyP^ag8sgRX6YUtOROC?ktpL;eYZXVwm!-+9m}?nCA{4M~*b0c8H<ab*!n6Ov^Z<
zscGdCFp(95&9^CXe+XMMPR=kGO_N<NFK3v;8JGRpr@|%vK>FfppI8nJcDf`eKM5Sk
zR9<pH*AD26h_aDysC!88%Tlj)cTrxDWQ>4?-lQ~G4khsI9(7l~#(lXB*^yf^r6QuD
zd5M5H=oO%?Yat1yvPYLQPm;+^(IpFxA$v4UBq4k2_?)1o6~wXMDR=`XkwbMAvoFH0
zMrB;ol^*Jn&IIRX!6=zOD*D)dkCW6<><)x&c?U-YPia!=r2Rv~i$L7PC^&xR#lN!(
zUQ-xC&zP38x1^dgG=Lv&VB;`KDJU5F>I!KN7}$@zW|sthS6(wU2+IrdOJ4fCa03Hr
z-V0;s6asdcMoq9^a?Ry`3@^{kpkf<3MS=yk8O5}gq$4g&%QR|F!7a*w1}05o{U;%+
zhd2IE8H7H3+tBeeKD~xegI%rc!t+cJUe}P-RKKrF+764CDqP<ZP19{?*&zyG1!kF7
zKWOi6|C2)|NEfGSg7bNJ>S)m#xWJpF!PxvFEL{cY&QBUAs+|R$rs~EWYmttVw*$Z3
zXN!o50ZzkEVC>sl?EO?k=#ggPhz|1lC-;algLITPe#e|Nmx`60J)Xz>S-7mH=Rr@J
zH1Dlj_NPGa+QKj^-fKwdXXoF=iH95?9}gDj96cC1;t>?A1l1>+N;9Bx%4-GGpBMRU
zwOFC0FHQ)u9NzvbV>QYnAS1Ye;dp$g#%NB1WRGw7XKu=Ix8?w2UU2|iv5GlaS)+7k
zO(YV>o133VjuvpcHTXpQjy+Ot0fQ+U2ZyF<V#K}fX<FM6P>f{v*SaiyyRmA9@)`U5
zlhz4{rS1v5dUDj4r<pS_Fc7<O<FX7SU=x2}`-S~JmvSe@dCGYGx>eKj3)vk&4<RHZ
zJlfmX5N*b8?858!9EfuqE}ld{u@Z${vxbWd_JACVBkDB>*MVzmi~sm?6-`V`O+oSU
zvWRvR>q{pf0jN1}?Y8GwivPqPO__~DMFu8*2XjQU0=e!WmjJEI2k1KH?{i!Tz<^~0
zu?T&@6(DJjtzTj9IUi@W+yTtDw%PB<1n30@+34U`_VG&DMuBkK&Q;ry`4nZR>S_di
z2;9V*&eEdGW+<t;D}R}L)Ac3G;*@s^jDe5XI*JrXKhx?o;gZ_~rGzfqht96p%hdbJ
z1tk<dws<<*4T)LO3{bb^xg?ju-FA_WKj*aPM9{Lr&%1NOCjLkpjN4IC8s{R^G56x!
zh3Dms*He7bmFQguG{mU|pbuHEHctC&cP{p3_^OiZ_ZHosLPQ-s5U4j1r~J!<2Sy`b
zxXn^uR)t-feXTWNB!*)10iv+4<o<I+B{mh8VU^FpkKMI#5*ofQITi^54);`9?GQ+J
zmrZ$Q8+VSPQ^3LX9X}Y%Yd<h-M~4^hw4=2(ej3vdxH#oF&!QKA_^Ig7-ql4f>QRbI
zs}KoNr9QYq#++(zmk{OtPQTjVHc;Yt*=&Mw2*)nSc&jYEPUh6&4pT*~*R1%2f@0}V
z$|zv5&U1UdBQ7IjOz%5rp&{xuapq53y-|Ka8TSW%if1$Y(35RG%Z`g;gKB5rT{osC
z7Z_wpkkLRmM6_UFjNemh<2ph*pUn^P?1c{>?QecPIYgJy0j-|jCX8fnslR3Z=o;{T
zo)o9@7>h|twdbxXnPeq6l)HpBs7q`%Vqv&s;>)-92WGanTCb-Ja9<H{K0Q8Av<pSI
zMR7P}OW7q9bM!X(4Z=AOeois(*wr_9@yw93JA_c|3E&5D8;%?!eW+);H|Z|1Qdq{K
z9J>jKiwW<I`jC*2d6)pixXxqie(+`OVfdPy9^kBf7Sn?5-%U&ylAjm@5j9>v8+Ugs
z-XRVVQtiBOxUh2JgV(_VZmW$M>d8O{6DFqyjF9(KR*n(spXJ)bM>G%<TO6pZGWA@=
zCVeOi#xbQF`yBv=<QaT-a2b43-xznowI{5LA7GiDNRfUYv%D$5&+m#l*%bjYGa6l8
z5dkXUGWyR2RyURwL0UoX=(LCM2ih6O>s{WAQy4aM4m%5)@;~z>f^7hGl_qspBLC*N
zME^WrmPrNKUv69;?$p-qv(r74iXb|?3uF*JJGOam6<m;Nl`*L7NtQmgA^BZZ)hVFs
zXR9V1wsWIKAS0_d>2|DSLwnzVUQgs9R;H>O8BK|m;&-^jp3(dX1@u<He>=$`&Nj|Y
z)t*+06NYq)?HQ_sR#395o`N)l*3c-vVwF%5$Re>~bO#Nj^2CFh^>Ukj7PVxb?{DOX
z&|<!thjVpQKi#DPBUGCQ`8u>_7a%RWmvh|l0^wkmEUeRdg%E*>dGBh;c3o%aN)|H^
z)}JU4((bi4f|ic5)xZn1y%v9p>pW8+eF%-ejfu$-OL3oc)gdArkKsLp-^Xd>uG@S<
zhJ{PKgO5mp3-=#-O(j0w{~A0@2`TW&IQrKeuyS&`x~Y@LBr+&qFfI`pBgB!EI_QEm
zJ(TzB=(=~_SCgRkwrxSw#`^=BYQDRpRvB_(1Xa(0661BQZ@x1D9aa7833^`!r$&EA
z<k2@7G4vkb{~deNgUWP(9|mY+{m<XE32lFR<LH9=*n4qV1_M|(vk}>MPL8*`D;zHD
zFSHuJ0FpveGML_0CpEn&L}1O$&12Py+mYzfD`?x2`rTW;{S7^e)>mKO|Mbkp|3=ui
zu2`N=R%GwlY%CQyAVU{7PLDRGvsGwmub=Iq&IWsm=h^K{^=M@{(uZn|y%<Zo#AXm!
zFs?)XL4mFMr4w5-ETPL7+{_q?y|Z}Lfi^8q?GRT3WZ2mdR$EbwXjcN9NZxC&dg!q$
z2p>Fnz<QhiQ>K?(@63m%uF6aWyG{3`5+uMR6n2s48^)({f*z)v9%C}o4Ep>S=^EV^
z&sc<S9v@mb)}g9H;6iz_+>>&4Y^6C;w-Op!z%OG@O)C;!6Xj@zny@{G{^>K2d4V_=
zfDVlw>Qe>n^B%zXm<?hFX-2@+I)3Ty9(HSUi`wu%-DU_&wbk2T3Z}b~3W8UAt919n
z;g5E1WL8<EeQN}>K2zaWlQ1m1G7g-+`0dpjspT-E!NR2n^A^vZQ_|w<Rjp`B&x#9V
znS|9|vHDpW$siGW_=Qe>88y@xB{tp&0jU~wf)YtG#v;PJRnjo7Bj9AwJPagPy@|pu
zcNlm3{^d<1i;CA)Gc{%Baz>GAcc{7-a0c|Uo2>a}k?J7ha2ge-J!ZoQ!ok5_XOl8u
z-WG@Z0kacFM+LGv!CDbD;ee0)d3g^*Nt1TJonHAvd6hH!rD^Vyg5hE#k?_j6c_swH
z3X?{??W`}t8el;8^*Y{ai7IGr)F-kaNpT(0)4!B;f69BkdSS@Gsk5VFfaxUqrbQbC
zv)i~sC19iKclwmX$um2N`{G&F7$7Uc3SLPdhIh$W(n5yBgQ&TU3#EZUqA#_)thC!X
zDlz!DpJ+MeZ0Y;Y9%-sTNSUn7S|8>jMf-EqB-X2D&1%~*DEQ-bFhPqO*vd7kKz$D|
zalB&iFl@`%b1tgOTH9O1#B~rp`#G$Cy_076vWQ#ZGf&F5wq0cc&O>r~w!vj}Hqn=;
z{Jw=;KSZxABx+>Kehl?PDi5C>xr!;VnZ{6fuTXBP*T)g9>C{u+`&r*He#WM{p*yqs
zMw|>Ha_8<<gyd5&qtQ0W-p7uYmkjs!01&~&A#BdJ?|t{v7jLI?)EJ8L2L~+H9MKcb
z-IFf;D!{}9KfQx{ITQT}N?XK<EceirZt*&x7W(%5s(nY{=6?DME_M!%ZEkIyR}~RM
zLx!%Gkq2RmF=8=4?e>z1crL3W8nyZ(U2cm#AF_X1*@?jX@)HN()glB^`?Nc{{AZ9=
zdl5=pfSu~fiZRZAH;Ulw*^LES**Hf@-DBY9DrlUGF*zNxE3pY*L<B{7PI)fa%v$4g
z7*smCM)wXPKiUF=R7G59AabV7?>uwb2P>S)d_`^p<E8Aq_93~S%Rm@avCB8Dz}&p+
ztt&>wq<ULb5M*{bSjZTqHi=@dsKSY3{@(Za7{BR3|IYnz&&qCMBKfPi<N>;5Jrv(`
zmx+DxBN5qo!FiVX7<oQkV`jIta%tJ0R=8_Yz`7+A%=?s7RLivY#U>jk+met$c_&>;
zK<y2<i67gNWX(V~Sh5EeA#E22Hr(l#lB%~8nA`mjcN6*4_8;I)Y8{Gjt9_`dVyg&G
zd;x(y;(AT7aFTQMyAb@veLT7XBI&wdyyJg~sVy$Bc|!ua!|<Q#{y8})6ojgKUC95t
z*&S^5IKxjp`_I`yp8->5Ygl%|e>c}*yqZU9kQ4czvGx1MHyJSfs5<gZ{>;#SNuS_%
z-#|VPn(~J&O8hQ6ewIk2*D+Pl<BTPi|8CxZv277cp8eAhSD4kcw91k5SxvxFm){QX
zUC+X|uV1>`+S<T?4H~O(SaB8xxLDE<|0ax1r!t`nd{2UH&v(*_xUJT>t}L@}0eEfX
ze}bkJu+J@k`~`IGU{h?JYH#bK{ObGI<4m@HNHEhK)T9>|#C&sbc0F5(0KT*>#zwq{
zq7xQ}z?O%`W38$OI=-T!qBu~5BUNv+nJ$6E?LPY60u0q7)Y%aVu*Ntyq<=n;q!Elj
zoPQ@FIXM{^e&gfw1KCDFt$@g>N+>~n1<p-HB_&rQ?<K@AGw2I51JFhl8{GBMrnMMn
zrFOAl^@+2T6v#olQ{GNiuT%tcOT{=8$w9gD3FOj(>CjhT;E}6|zAH911SUuSv!iK#
z7gMtt0QLsp5k5alRR$<dN_;>f@F7P=&N{Q+Vn}*aB8PbK;zeXcL@e>;OFqR<5IG<X
zh`EYbp9l0*&&WKGX_Kgh0B~F(K+tOGx>8Y4u+|K5lLKAqk@3f)C1#~)>($D-Iv-Hj
zP#ZqHV`gS%<S<m?C<s!-W%r49*1hR~OrHa@>2T=#8iL4hOqiNt+s<Du>F(@=FRr{v
z(+N8V%&;1r{U)o&DqSS(uq_r4t4{8Tr=Lp@usYy)NI3Ne=^WHy_-4JSAM>pMU<FFE
z&Nm=oI!!HoI7G@lE!S@o@z|VE_bc)Q$(!P2cXgE4W5=#=r=X7?AiPP};ibLm5c2D<
zF7dKFXA1sVe_l&P-K?Ka6*7cYYtz^n1goEBZR#J{kihWx0L-jn^GbXn$%ntHv3-lv
zxYYE{CZy_4kXTkKk+vi1#Estu<e-AR;dt(beW~8}(dkAYSGTsdrn$&`JvmrNIa|yK
zSB>XW(9Cupv&m8KN<R-CoHPZ-atLo6HRMfMG1Kub{~_y~hR)w(cu~X71O{fh2Er&c
zW2?B=5+L0>lBmPF;~(w$)?jkP;K%yU7_4%`X!bKXi!$EH4Mofdf5ee$R3bX!-p{_)
zKKG%b_Zl`SUJB%D<JYn*OKcjpRE0XF7_Pz6%%OhvwtM<7RFMMkei#0HJ)JC?)&ctF
zLly(`2r;jn&HXQ#pRxG}ikNkSf`Z1LK3GU{7f|ypEO4hO5g<=M1}HAX$Ee{VlUlh^
z$LalRawhr{cF`VenzY&n8!orZKcDC2;{hJtnqmW;233udF?MAlbHT!zw_h+RLD?hE
zzgP6`*G_Fu(ohyAQgblUdEBIzRBzxF8r5oh->|99+oc<7ulBO-NxkExUDPe763Vnu
zv%=LJ+||YK_zM%Yu}7L9$^``s$-epp(R(YyYTK{JE1fo0gZiSPqV#nNtJ@TXNY;Q`
z#47R8v#wilppvDEF9Yu4Es~>01GyTfE3P_)x@j=4j%P+R4(-DUJ*W3+PT`SS_|S*-
zh7_Ra@Su9=h+1XC<ySt#w&p3#(U%1*JL3en*RNFBewfB|>ZD{{uJ=DXr8!Chdb)O{
z?UzSwZ`sDu+O+d8uD+3{*AUIS97{=W7i4Q}JO#)QU|H65z|O+m9f_DyU~MyM@TtC{
zt0D@FU@wwC6lB}d76E~9A3zPbe4+}*nk;d&$~(6TESJFc)K_N_wzd2gm{~o?%7Ir8
zzz?J)iw+#VbOgJ6&(mg630o81*jcOsnRvda;|kmriqdU|`BG6B)3;&Jzn0O3gZ%7$
ze6F|7gSzTyy_WJs@oRa%YCm2Mi!cfR8Vs*e8*;n>at44^6nw@YGZI_~8%}U)$g9%O
z_!cg4S_KlF7m<c^e~gJ=H4E?fv-*?W@#Pp6S&o}S#|{Z43vvzUA%nwQE(}j2U}E6z
z2Z{qwpp|!m<-X07I)-WC@o_%Dkj|RMWRhajS5c}E+uBE9;rm1SIG3CfGJa{8DOr{W
z1E7ns%Wt-{pPbasQ~D6SiWye}%STf$z(ih_^L_JCy@MfDSkrldn4R{a1Gr#~@lS50
zvGy8kIX{ikUbM?F@x}PZ_^;$Qfm+T^$?N)?q@=Z%euFnfvWqkvtwi`69L@!fm)p#C
z48KHT9Ls1S-~rO^JVeUp@G(P%marR%%yMr2o`ZnY0F;=O?!gOqEHh<{LtV2-wVQpA
zJp9I;4g)J$%iHCTeZDDJT?)_S$MG7>hkFS!y%T^q3n&wo^J(e}0~!Am<5LFCEik`Z
z1<2*_N9ohPTyjal8BEi$Rvmz?_Nb*@`+YS8pi%5oo{ZG3%`D?Fs+S<LL5|lNvBWZM
zt_0&XL>w!#jpu43n6}iLE`B3-Tya1c;85`S{b;?8fn$qy={=16DFD8LvJxd{hsyWF
zztf)<Ou{f#=`_t~HR#QH^{TWv3UDCrMP!G)L)D<8?DDj^``@?!S<eX8`~jA+o}ceL
zV2)`nz?*c{)lFa7Y_LXtX>0qz=J1$;-ma}Yr=m*hXrpSDxM%?Wl>dVPiDcgoBO*P!
zOQmYm9W5YKC!M>+2x4>8Qi^3iE+4h<b2~Wu0(gI<oJFiFZ4~Df9|1FUU@+1Nm^qlY
z!-JF6U6lW4ivLHW$d#8gueSVH<h%ar^8R49y7+awd+#1o9D1=I!Xp7Zrj$j+OB~0b
zjxEkk_9{D1XP%PqWsLi|u<+>@oD}c$Sr>gYZAQ@?4hakc`;I6eEE1VPcdzE3q|;JE
zR^EM*iv?+Yo&sPo5Aq(zGx}*<j;VFL69D6eAltkM$pJj;?)&{iV109JU|8T<ruF!x
z$bR6lO_+TX$a1TIdF*}rrITkP0-Y=3^RedZb=#^$gew$cH0({}SX8_(2@ptnA=3cH
zI5&n{uo=cUZgPd+?*dSy!+59oE-N_4h_0ks+^~nPjn+zkBE^dYWoxWy9u<@t+ebk6
z7Oi-JF)hT-Wmt4cUaiU1Sk0ueJ5g9uxJ#Zum@t+oap(1YD@&uLbCkseWC>1GCx_>E
zZL!C1SPnh)aZrft(JfGWbuLiF)Jgm6A)Shn60b0Ny}J<iMnPu9<RO@(eAx5$GU7^$
zTE|%^N-9NhF#O9tMNeQ7!e6H)=UhF|gSasY(^syZbJ#FK>*?9%7t{&nUb!2<shzRY
z7=X3bSR$Sb7HD{x0ONR52)T+vn3Xs<b?C}Y{SmOm-@oNMr808-i9})~ZI;pd4u5WG
zvexR^d-Gx2XW5^Yj3(d39Zud27ZMm38Q+aPS8$}icm(WXW78?%Ed|vrEOjJ8&k9Sn
zJ3pFszO8tX6~kq;yzTI0dAJhm(=#GXsqTBbBxNdCu!e#P;KP>-24ePkS|{8a3K-l)
zx&S+r8nW{CR|~KXZVn=(_R3el@aG>n8);@95^74o!l-+wR0O9yGN=yO+xnih=HK;Z
zJX=!pe>^1QvZzjUhM}&}!zO1KI_CQ|-$}=h!eVkGO~qY5Sc<~lqMw@*)nLjrnooS;
zntfARP^%~Wxtsf2vnSlcplIqe5IFFPf2VK9Rpdj&&EYjHFN+TKyRH&nF5lTsF*H(m
zn0}Iuj(EE3Ff?J#`>fEnj96?({mhQ-aFEX?tfwoUe+4Yuc#CMb(BpVt{<7-;fEF8?
zr+{%w1WdX1_A-ysd;xX}3@XvEJ7(7wGY*(Hs!~YYKLCA-!W4TXVJ}FVNu4tlQ3Q|#
z%`soE6Ie<BXb^pz0M*N4-xlW+oag~{4%Pty28RDZ{&NjG3$VbU@6OY6!b-RMLq)-)
zcCI9wZeecDrlNG7a^=NCt4j%v>i4~)dB6IkzLP5*6p;Nv;DxTQ6>!sja5RiMMFVu+
zH&aTpVaVw=Y7vvyPLmJU<-jGX2O~EI8Hic0M0l}yr3Nf|5eFIDHIyr@7(Dgd`?9hm
zm0LDO7<NEie|Ev^OQ}EfjE;!fAB^xe3E-5Z2t1-@#QnQq0SPPQ5Uq0+xH0n%Ei^U`
zJMVFyXj@GUI&RY@>tQdBI`-VeuDhzf(bw;lkk4c&>&xy2N<!Or1=$3487x7zG#%&3
z9xa_&P-=dya2U7cgP+L{dovLo1Knq&5TVzLJUxf^Sn(+VZe9!BJ-UKiW9bPRc{rV8
zJ4e&nU_s1@H8~(>vTc(q%xutH&!39PzANWS)9X1TyJNMq!RP%YP8~&|#E}i3DJmg*
zB4Mm+zS=E*RH!Ne=t(t+6BjEnB9$_4ZRuuK0FE`79v*!kALv4b(OK!+v0U`teX}&5
zV6rfrC%zU=;EY*gA=hZnoUujXJ5cNA&9|YrxF>e<BhUS0Uhk~r3j&ln+XSp0{RLA3
ziw5knU%Unl`l!^K3Q#z!Ei)nKD2a`uUa^Z0dz2W9Gh@l2*fTcyO+8cklNk83jfUw>
zyUdn{N8Xt;c+5am;)YnuwXd!$HFd!Rit^@J4hQkJ*>V!iw*R&2T;>I2doLaE;DBPn
zi$SD6BB~~#7u8KbTHkqW6w{l0|90ke67rKFSs8IK7-z1gZgBBGZM_~D4&oD|T*4+^
z?i&LAyY5Qr#r<yo(=rw*Ts@&8oL1b+E<GSZR-)wki2*8T+=hA42aJB7PT(AzuoqMB
zNpQ#j1_x3Ws2t)Gwh|Jrim`Fbo0?R*SgNe>sSGM#?#``Vr!R>Vn9?&J$AkE$1TMHf
zKiIwAP2QRWhHq5k(i@@WFqsK2eE5@`VI-}G>Fa-+`)o&kqdqag)Uz5{P6Wj^yZ|Wg
zpf`%74>cvRP^Y!h)t=DhU#8cegdZ19EbMYjWs>SYz7EX!wlIv2|6U^fe>Xp31DpSE
zdxLbeU%Rjagu}nIvFFbb73G`z;<^{^&s+hw&ICLTB$MakpZxYXG(|wVp|7%P6--Eh
zppq@w^4T|&`uDI$EMR*Omo7Ns6G<_y1IBCiR2~AU#Odqnn<$PrG*dw^MCjIL?0`YE
zOxkn204l=U!~*^m^su^zUq8+};ezFn0eHYaAWxd0)Eq47<>lq$^43_u7##O`{L$YP
zdJi_>30P(xvBLteFHR6<O8vdu6|_Jn5I`r6_YhP~v50efkDZ;(3pHI@WT7V>o8;fp
zufu<mb(p3~1MoE1QC0z4ic;O<lhDIl-ACH05*KAqkKDSKxPD<HkGqH#Mo+L%^{p<M
zHQ@97Iys_m%bLWqs*C+-Uq!H7c?_2N%S2(?B!67i{K9iWaBEdnoi6Y7u<dg*h;Aw=
zDJ5hP84eJ_XwZXA9^30dyI?{CfYS^niYsI`V2B6BmIB@x;tQc>czkk=O^pI%j>?pY
ze=SFo93WT}ZUjQ1!&rI97=6z}pkng_h|n^2IZNX2R+q=Ly1XNHCm=gGBq8=}cmE14
z@Q{D)(*$VPhc~8;4*yYRfBw!C^bscx{;$6OMU@2TVivW|)hbQ@6%wFNEGc@pdTMHt
zpY^<S$X)5nhGz%4Mqx@v;Kw#fHQz|?10u;^hc}YL#?FLAL`0aIYf%p^EiJvILgm1y
z%f!A2ef5@a_-}Reo3i9=fv~Xf6diPke9U`yRRKb0B@y959e@op^~3vpZ7^ptms+$(
z1Bn2<_$P1$7M8EG#&+YzKo6g0D(zg00-nq}gu7Ly3=g}?KRi(Gg`3ia2L}frH`BPF
zpM=U~4$>oKRBVBQNgXdk`?L99LgZh@6aF0zkFKXOX_G(jdO)XZj<OALe5!9jL*-r>
zNPLxa8bH%6-?Jr*N9t$0ky=7&ZEYt8JAxdG;U5TmJ4Z?!?#0%sqQQs}27|(TJ-UbS
zcZ&edvqN_UP^4gapN_GyWAJ?kL8M7J%UuphbV%4_n+_HqRnptHneKzFeI^`gFn|a_
z`&Wvn{=FPHz>>7|X|cX%!QGJ@oY1@Iu{uxZ*dIs=y^<vNsnHxi4C_<}c>b30%Q=59
zIhN!lbXgnYHzoX-#ITtT-W~*qsnT;o#g2kWzt-~n8uQ<D0O{kmAtv@u^I^L3n<9d(
z=aFme(v9Cw-IEB5YWK_UNHB;J)Csv;aW$_6(X@Wz+Whuw##K+F;vfjj7~J~q*yS{_
z-?1rqo`CgR(f%qLucdzI-C+$slY4Xda71u8%lV31*GQiWg5ly(JNwTYK%SRN9+VGL
zc*-5-yBc<v2VSfqrhk9o`6Eow?-ONv|9#?Z0uS~>eu~h5!TfoPub^(}xq+#fK6c6e
z2J`_{q?@KYb`z9Xg2O(mRaILqWY7|jUA)m<JzRhH&LK`6@Al~QJ-dh#Uhr-tpk{&A
zUprFTAjN~H=Fd~w+H}8t(P!!XIs6%>^S@GV?(><4L3r`#rcxlb@{Qi$s#CSs%kcuf
z5D1yywYvSj$a-@yQN=Zz*6_mhpYhW44w2kS(NdqYg4dJ*sg-P*HOlG6(}f1TQcQ4<
zi~}#k3iqnC5RH8fE~6g7f(gm{ls(&ipY;9vIrjVr6Q<;CL6_tJEk*MwA8d=+^b;tG
z6vwwSGp~iWG-{05b0}j7<>w604YixQeuT3NIYG%+NH2lL{UYQ{i7m>WYI?7?#8ZbH
zC^#7*0b*m{;w@!u%IcLBL759W8~h0H0BfCI1=lJwTmV#Ai-yWg8{7cO6ZV#}r{D^!
z5JAL^-)#m7cn)%>d}1Qum6=OWT4nY_B(zlT#LmpLyWA!CnT$=D`yv*@?-K)JS{h`D
z1nDF@%<edmyZoL%9wh84V_^w4RrHTqTAbrj`JHbu?ZppT^q3Lk3?w4Gg-tVCCMjr4
zd4kr}J?z}yvsx!J$nu6i45^_c_#+qlSVRY^Y7)#0?8seX=J0+8EI1cFI2Gw%gBJYn
z19m<;dw!eZlc<@Cn4Kiw;+5iSznx%>|9cTBC9BDybn8*~Tkg{av(bsbwjY55FEfWO
zYo4P^^c!Kgw?{`mTJezoXH&QX(sJ@qCe^QYdCnZr=X9NV!c|-9(brwoC<=J-VV27v
zcgUqt@U8*9D{*bMapgw=_#q*1rG}ERP48<Z9Y~OhEWv5a=e7GT{5sD=`PBEOnjai;
zShU{a7IMvwyug|l)XBEAj#2e4dffS=4T*vm8@zEnkcbd*u`B)@xKX2U^io;)II*dN
z&M19Vf&@%#;qmbo{%v^r*&8%B)K6!vx)udbMqX&{U5<PG*6`i_QGWXI_oO3%s?Vj#
z>e~1A8)bJ1q6)UnZa`F5dpPGtB$z$JCPRV2At09wM99x+?ys0(Jci9}H&jq7ERTpC
zsgVr%(Ya)HUcYcDpee~K+gM1PhfOc0pJFF7$xCj&#t^)D!VIGfYj4~*`MrEcjzDP7
zM|Hhd!j!W)@)RD0`arKJvj6?NYCXH3iT?4t^q62lzNzND@vckPjiUs<>l$R64Ze>c
zNoGrt$auVc7}yq?xof1kcj=AzW954<Dk@%*8JumWzG8n9+kbm@kx&t}@3hoG(nj5J
zPgOA`AkN(J9abH)rg8DWy^$Zc7M7Yf#PgJ56U)<buE~2g=^}S416Aw_`gq%}tK}LB
z@tzz~CnYgsmcsIB0ctkQ?Cq}{88AYTtD97bZZ;s#&u?o;viH_)@NoN3@6X3T4&GQ-
z;?<E!xd_;Evlnb{YFbJ;1;gJTS;9{n%FSl(<B!8;-dCH<t>n%=QjFrDjyc=3*%}Y8
ztUK$^bThJt4?2uc^+$6j!f$&%5z{&xfAZc*!uFthl*N+EZzC@>XfWX2Hhg#PY^UYB
z_4u+i34)xxO)&+PH&&F%$|Tl4s@aE$?5h}EE#NcTuY5`R6h^7!f8%6_Kjjs?$VBh<
znrmd-go9v8#;*COI|DW9NR9R+-bciw((It_$+()c9BNl)FhycLaAJ$$`ds<@IDxM(
z{Zz7_B`Hn$-rDX+u#aO5$?WodLdPE*&1GCDQzDLzDXh$YNXa^Ku{b^tyoTc&X06ug
zIw)IzB^Wt;p}qTULi683;YvyrJ41DC3qI>6S(kk~QEOT%p~al9;}RZy_k=UcGBb$U
z0m6q`%njaUQW?H;yFhWhHpNmr#^=~fs#QDEq<DdBxUTOUgF$aSDp|wu_MC;c;&SR$
za)XTr;?Lfj3`;Qh8wSbK>DAYHKIp713dLxDq?k<o&RuQk!ms?mC&yTQv>r!2k;U7d
zjWRmjcF_!y^X->=#bbk$UNQBOyd>ASzm^kH+}YjH+OV4T@rav`A<}I*O{O{Dgk6V|
zSJ<n&dfmk4X}HD}o?45oCR}B|xZNb;9T38qtM9t6v*c(MA0X}LakKBj{nnma&o8b-
zX~GS^pGWYjR<pQ<rv<PRCg$|)&5}qAFkBw06(>7~8+`>dotYG9Iu^&PNxyS53*j~Q
z^(4<ec)pw(*?Z{!VeBmfs@&GDVN$vUltu}W?rsF6LApcf?ha8xQt9q)N$Cb@q`SMj
z;hoF9&w0-G@B8OkxbB#7<rrhyD&?h8u}1GYl==ubjVJ<HH)A=a{!5-B&z0KC`Oaij
zf(&-jF?8;ZXRRtpQ>w)`?7upOYO?9Gw$;qoJGLUVNO2E$hd%%^f3`706;i-UOy`g|
zfQ|#oZg8!-4X>;IljdeBk>x!3ncWeW<eKQ*<S*h>YQ|eD)6J4VQCIIJ#%n)_kv9F{
zb>>7mD>ZzCE~k%-|6x2<N?nCIE!I+F{Orr$;4%n;O@Gml;rO4cCQ6W<VQ|Kym=I|+
zSXAAp|FXNde3p~L`{(7{7=iO*)#S}6%FZI_^&BqDq0ncbfi>)_1)j|My%Ok>{Nqxq
zg_PzFB3SH2D4eDR{#e8v75bhrx8IuLq4LUys%vTqCB?K}0vx6Uk=>WP+JG7>N(dsA
z4fF=<$Tg$?8vzl#NzduJ43)A9s<u;68e|yUI5VF1q)hHgzPZS=z(bldjIr>k-ci7g
zsy*=igiMP)nO{~bvQ!lcH`WunKTASG&6>xfqaCfFqLK952jWIC!NwC6%KWbrS_blC
z?kXy(Dk=rahK8AymQqU((J=}Rl1J}`AL#FPsSCf=SbF8S_n4hYS<cOHD>TycW<OEo
z=2F%iC|5tae5hZ4$cy5+kTM@tji8bnFiY{?e%WTh-0#)Ix1Qv_>-661((dxrMO{Dk
zxx}4Q%Z20yMjF>&J|Wy^;HD9-R^I$OXk?f|`u$FUvBOW@Zu)1R{Lh&`MHtW@7JBJ^
z=PnF9$qjq)f#(MPtio}(MOyGlUgVvd$fvLT{Ckaa`<v<<tmj`+hm~vSp;U`bdq}K@
zRG^aUpGM!$(EBSp4Z~uX;?UWk-5gHO7q$=b8e2X^n|AxvnnXe@{VqsmOA&%PKwJU;
zHts<=fwT6lO(`}9t4we<2`qNQmD&d2S_kf6D}x3z=z^u&_ur1l4-+^@-$bPC?nqVV
zMaOUrPeetXOH!D~iH;>~%`0)7iJFL6ndiTqR=;18_&L<f?fO+W+<W5mw3cKvZCPg-
z^3s@@AnyrMcrHq|2;WB)8X`1r5mQuFO+P^OtcH#PxLzsvADS+fH@%^mCXaf*C5Dei
zzE*`6JJ?7IKC+}~jPXV@lm4l+G|qf&#qz-&wfE(f_^6TE9q^1hwLa!gu=~N_BH#rP
zeQ#cZsdtBa9`g3KBu`-)T}{SA)<>ylK9_l=T<6O-5R&>4!~JAz((`fdJ-r**Eg*e3
z{rri-c*9ulLVfbxl`>tL+R5HMh&9#^8>n3t*qJFOwyHRu=GLRKA~Z}EvIQS+IH;{g
zz8A<pD15(i==#>B(gpvU*n`695NExu{Zi~NqEQ=?1xy^|R)SPA{biQkoOU(2*L>3D
zYe<d<-nPnE#luj=CImM?&Ct9a4|Y%f#cnP{F^^0f?uTJEsUs}Nw_Ym<98@1G&o65>
zVFq&6jV6Q0>0dXpObO}%j0<S9pM87ao<Er1R!9)!BuszT{<8mFcMKI==pS1TjSn(Q
zozCpHpgvRPdzp@Y1fTyGsPy;G|0BwjNR>`a!d?OsH+-q-p?yd)@!xz5@rwp9f&;C}
z5khPzu2y{&Q?odOSFtt!4FOLe%z+4(6oLPK^Y<a`AYTV^rZD_}zyAOAzw7AAi#Ipy
zbCd&x&QT~XUM!!;xwd>ILCAJP6iWe1X?%f&AQUnf%k<EhdNvCfnroDPAO&g~PlmEO
z@kW7VO9Vl(>1QD+oS_Y6FdFIJe%U&gvZfQv8FlIQLnaq-xo|L}R6^&3RxY8J;>u(N
z9#7wbbR$C`uYCdP-BYlg2H*;fLPh8_5_-|aP+a60_6x``%iYrUxoYr1-c9Z%rg3U;
zY;Ed3jrW)hAoXhc{Ein);45Gtu?#j}A$BGSDcPSw_fTW-@-wsZFV@TXtV#H8b9x`L
z^ILuMeWX9Ogi4k<pNrP&|Ai=)2W8=#b=Ev;4%bK@Y2T-(gf1vCYNN6<S@@%5(VDJA
zG@ThntR+lwExGRb2x2+snoRY#m8H7-@7ZJj2k!8*MO0>Zl$%h!zgO8YQd1d7#SWKN
zpoSTIBXm9oN^Lv@@Xt-$>7P;EhINxt%!UFYs*K;?@|KW3f?wZ}AcKxTnfb#vV*49k
zAsIx>hwe_RY@F|SOhzTRW4a;dUmr@<_+RnwJ2u@BlY=F?3h|E&)~qRFWT)WizH@GU
z!@?xH4TEBd3sQmZYQ6oSivz2+F&K8-uK%vlef7I@4%K<s1S!+)SD_#<PUIqrsF0)w
zn1vwkwFhe7#|Co!fX@s0!8{NX-i=uPtd80IpBfCN4Y<RJbI;CSsW2fKkU;jVTjhNC
zyV$IeF(2v+-s}9cJ=oH~8abPB_ypMpex{Ho3TO}`{3jnpeDBNNO3thZ>OJ7b0+1V@
zHIMBbBduF$*I0@!p31uQbI_qIsoYx}j^;|#sxHI`HeT62WdRVE&^-hJGu)J$_xDC<
zIHn5cMeU%UW<CusLJNQx9)YTnN{FtSLK#OU(t;tj^A_(MbsTnvW90}ZEw~KIW61sf
zr$QhmM#fA-{<>eAhM83@xHCKZ%RusO^6BZ9pN0-WE^v)>Bk9{yjubKgx))<g2t$r6
zqs1coJr9|hib`4KtLu-uu7L?z=^(#_s~mB-Okpq=1c%sGVq~*$*t}PA4a+1ZML2Vg
zQlz}X+$u?v(E^?Y5dH<<n~|XHDgUPQ_lT}yt>P`_@~nX7P=o{Pv2NmTOor(O&C&L)
zky}lS>=M2ZnNw}zf>&<P*LELgq{9>s4CQ8n#2i2Ma;P`|1XovUV$4AS)#wY5^!h@*
zZp9MX#768)^9^vb5u|*qmyIwI1}h%#@Rir`58sy-7a%pLeP{7wc&4`JayT1|KRTow
z<)0*j|95gkaL8`a27{Flzr0Of(ZikS)52&Te`^)eMOKbrgC;9NRty%6!A6e#--*q~
z0#B2u^-eTPHocUcd2kM6>@9y(fm>4B1b}a~L-ygbE&IPSrTd)h_F`2hLw1xgee1!!
z5oggRqX*iI1V)h>SShF4(0?-8Iy#~AJ(f2U<mIxheC{rD)Qpc)cl76(1XdzsiNKO(
z-5icO|GhUA3g!bxLL~A(hBk-*L{|B~RM?(F78MY3&eWTFUw{eu0NQ83`Fq?Pj&S__
zA)sYF1pK9Ck!`|pSk1D1>Wc>Gw)(}&o3kxQj{|^QAKBw#V;S<@Zb;1yhju55ApIhM
zq@kMZ*ioczb@0tPj2+egdu@EUAa5O^Y-BL}xX@i`fY|7GncLXdC=o#dI`MIX_W&FR
z@Her5|KEJQ8p1J_@P?LluHLDLwFjd2mJFKXQ9eDyF55@z0C;cT>I*FpI9aOW(FTuC
zK}iXL=L!Vw_visc0D$lau1AW7gU;UhxnmM3-w9|!0U$a8Km|jv$e-iZO+z7GZyGI!
z_wSfrfFYW+5d$7Ch}y4q$=l;}{r4k(Gk_96l+U8dBGrSds@R?kskTNXNFPA;|HG7G
z)Dq}a1MxHt*Mw)pD(4;mJ5a3G;tlZq{s<U{;{_jr@*+t1HKEI2J(2p{+X1*V>IvPq
zE?=<UQRl_#|2oJKDCo?kXZng@E>_<!gN`r=72S*576EjHg`ItZn?g%bF+)@sX1Tby
zI60XJR#ibE{Y$rzO7L&yqqkX|po7W2?Ab??2Q<aH+^RBmAnINKqp<*reSi-P02>BR
z+iI-&5Nb7=EJDEzAfk@fRr&Y<&2Y2mX~DE)Q+$w~U-C-cVIgJ-DMdhoVjc1tJb`-k
z>{u)7o4=ez@SqvUp+wxLpslF318^7eM~TYwKR-!(*f&8RQ?fJ0Oqnk#W{I2eR2j1$
z{p@F`d6skynxYU~1-WPd8xNG~M_z;WFA!i%VWByI>ws=aLxana^<FJf^{?`B1yb1V
z18CNRUxhQd??JBsl${r3Z$JC?!vrtfQM=MWm0ANCk3>5CZcaAz`Srwn5D>hg7-_IN
zlB4IT?YCCb)@`&u`_>rdmK4G%u|0d@@>14G)wj?)&2=?+XfX+D+C*$hqcyi$F*Z{#
ztnU&~4~*+$@{5ZBAPs|^qe!P%c?$^OaaqrE@tzVLztt4s1EhZsNt6IUZ{c*_p9V{R
zdH^(J1+L~D8V+ja;+c&sse<D{1wQ=uoKzmBtpvm;@6O0IVg_+T8!pE;<T$=DhM)ad
z{jz#4|Io_a@@Qq~E=DE#!DYw?zc{6ZKPuV-Ch@-beb+ag6kh!T_sVBn(K@*U0V+V1
zLk~p!9tVY`J9}j<5TI-<oknJrcpm6+DxtA+p1*~FcKZwlJ)LW0xdGyaJF8hPN?jHQ
zs%JMPM-OzD(rJ1Y6W~+$JRSRvNALUB+r4tW5kMR2dt+h-A^VBm5gBJLy|chCq1Ueb
za45&Gc_kw&$8S|O_Q?J4yZWm|Rwn-FL@yvINuvpXwx3sG6Oatt80Up4_FIJj$SA9S
zMYHyfi_8O_3IykzkdPq29(a8+p{6$>p!K#mNG)p&U&m1qAeKe=u0XL_(L=`IAU>xP
zAhwP1D3WC8Jyb>3S|O-E+3=ci0%pT6@6Sl2fd#B^<lI4lIYh}0|5dVH6SYuQyTbnV
z*6R9wvY!wW7*>5ABGFbt7}5a`K}wpNhNWh`D(eh0#oEb*o_$_%@{v;F+tP=xP}3WC
z*}vL0-?sqe9bfqg0BdQmA2?JM2uvn58BT5b)Q`7OT<FG)v9Y-cbnm$w2%-fJs>UE}
zm*We7%?0>79YV*_fNEKF>)}Ko4JSL-naFNY#a?xjKZy;cm7p#KEXSXPY(~T{?}V6b
zXTI1O6!5G|O$0>tD`EOQL&SvTgbK+-WD68h)EKp>)N{~vyXodDfg6$;9N#xJ5inDO
ztFl#lot9`;Y?T8<B#)AHid|LXn8qUfwWZgpc-+SoB~k$IqGlQxq9UxR$A>#!+A0Yz
z?4cQ5%@d38w;!b40I|#2OPO+rMIbK;Mj!!*HKwG-eq>>6*k=hdwwT%mP|9gTJ+F%x
z`^yCvy%IEzgtjT%Ih^<Z7m*5O!?U6AfH;3+Ot&b$rlXAPyIEkV+&SUP-MS`ZX50Bi
zcOH@)m~S4q4}~X1HOd&0r}k<>7;yDq{R4T;;+?TPAE3b#NaCJfvIN%(Xgw1zEaz&h
zteRPwZ5H`b@+B`Ia)1tjTc8@7KTYDXze1<2rU~0<{CpNq;RPQ6EZi}>ip&|(IC6d(
zsQ=_t2-^LZ#ryk~@U6TDRUfv7Qmk@!zUP{_9L!D_{|I^yyjFZ;3808w!SAE47dHOF
za^?83s(Wx#tWy_l+rl~?)EW-c*~;sFj0DYyoK2axk-Oz=J$iGjBcAUCPYHiE1<JPS
zhtaCtsXmW4U?&d)(AW+D#{Xb79^e9inESF4(=%WP6q-}h)<eBxvJftJ`8%PwqP=SF
z%Sf1d;98-l=%3a|pG+qTWB8?qDQnEID<I;mb60VT<jc9fVSWq6(e;?e0Z`24oQJR_
zLg{kQ2LaVSwGRg?Q$DWrEfh=M6f32^#==GIK<Qz|yt-ITOEf7Wk&KuL3PKQIhbcb3
zi2fk=YctV;q50a7Uqv!+ePg4b5b)Ok(PBaM1%(|jpNSF-1p`3kXh`7B5{)K_`QwIZ
z>8UK|LN<Iog!cnGq~tvGa}p=mNvah}z3B79+%n(P(;Myza`3E#SKoF27DL!nd|%WR
zd`^xK;(}*UV)@qpjaA8_R)L`U&W>>?F&(#krP26)vZSkmfOw(GEQ;eR3(BX#<d2ot
zsvW-wG*pE4V1b9DmgQ(({~^8Tal{|<1Oep1T5w!gl&LUg5OCXn4C2+NnV;xawl-2r
zdLiI>&Csx)83g1-fuBDddzKbKWvW)SKi~rpVbzq?tUbA+mKpT&uL$5heQdKTFsfeu
z6OyRG1^MY1WMjj%lOIpcKNZZPa}(b>Z*w+I*;0c05pfYsWy*Dhy?ZyI$M7bdoxm97
z6TheA9TTH&qk2akvY1zTIRE7|M2yU5v%S3?=+^P8stxZ?bOg#Adv?DxxsJ9umlzyr
z23(Ux*EKYq(fcMHHI>a#S<pTmT^xt(G#yac*{yRv{zGSNLbam~sc8RgW+RpfEp~tE
z=UAs-imtWn_<5{LL!Kd#M6#giG^G-7b@_0`J|CC+$c0b#Ec}cVs{Y8%j~(9PJkQB^
zuZia<$A<<R2fGNnkZ*Bw+dMT>48D{=kDi|XU@R{}M50>nEKL@Q?_)3K0aXsvHQ>S#
zb6CbdeOd8-xGiWD*M>k&(eBN+OjyTU0fFp;<vw0l8v<z~2wC1%O)d@*3^`fbZa5$T
zI2J+~&{gf-GSwkvuakw+#+O4~2i~GpHX8*|Ok}yshFXm5u$q6gdVeFxj~*qs7g#Wf
z?t~(;5mUb~EzaHf^XT*as{PM@K8sIv1V6%jd#DPlJY|1*4MbL1$PWRx;U|#y1m3{H
zs(kXK87Kk)94`<T+Xa%2hkE{lFZtc8YC<{W-~HjyO|rpxJgMY=&X<8xt#Sd6ubp0g
z$>?(v(!TE-;-?bqW*WueIf>(ifJTs=4?zx%-&=JJ1BklA(CTD<wRj8=kzK4b83s&S
zW>;7)f(e-FvAwK%3<!6p{cXD6(j4`YamQ%6Zhy-u$YaJPCZ0Wsu9IO3fc%aM6@7^^
zA1o>ntdY%O{<-s0nqLn6y9g7OG>anVd#}gNBW5peKzKJ%zN=-^R1JVH`6BeNsX!qW
z8=`gjoOxHc4T2LD0HT7{D!9k>iB82{*-n!Ez89W4CJBJwcML$DljY^CmBMCWw~KZ?
z#EBUtm{&kzNvF=%pml6(xNPyQcID3r`;^Qr5+Km}^arY1JmMmsqFOJ(-K_eIzIHxy
zyB0LAXCF21^bv}~2BtCf;kY;sUpEN>79ozYETYjthDr&?z14c%NS_iiv<sXJRHNn0
zPs}0*0lC+mA0Ra9Hu&?#B?p9*DS^C)d-k(jy2PIurv9rd22BB1)>9JH3>qyI*E>X3
zUwlcvG=Ma44yQWgXMiaCeNoRkiO>C$$&qa9!P`Dh8<t^m2gHxhus5L$6vU_!B(UIc
zCD(kd=5A*WuBI2{T`Vvb5BILL%WAx=8k#cSysd(H#me%&odWYCGAmL-FW<03vz}5$
z{{Bj`*U(JItjE)(L#k+rW_97>?F7|tpC+3oC%gQf6lpGIdn`1W#G+{~`gF;s-LgmI
z2->{UA9%D)?|yk)9dff%>H=Ei83-lZfRSWI)nm||_qmDlS;5!^LPduTX?H~Ic4I8W
znKq)Y_Auj#16~Mv^PMIkyx(}|;Y_ub+YEGQw{L=8hhN`LwWN}uYiFu(6ahVe<y%e0
zk{F?CB$*WM>RC~|mk}@aEvV#a?8nTJl)nfiu`$7@=h?lBZIeriZw*i36-nI^4Iu6t
zt~r>icRa*iHI6IQ;-P2t5oO=S#(F!Ts+*j@{_zpG#k_d(1j}JDi8Y$0lWszg-^ljm
z6T!H;U?qHvdX;=l`gB5SB(;@noTL3iCd3#pJ+3dxe8Qv?FbIDX82GT9#=NjZT~?-$
zJ9${a@CoX;0rVu1{I&5MG;I7GImh#S#jHOSBOSe)Wu6<fj_<f!>fZUD*EV02aP?F*
zZ9IFO4rN^q@5F=sh8lXD5vzA&zXH|^%U_nvu{U(W&)QQN#_IJ57214FsTDmmQkA&=
zS<PUwljCV!R0J{iFQ4H@ore9}z`gpxJ>#-uuO*8s>)D!uYV^h>Z<y<MPmh5A8Kb6~
zfudbkpcPNxNHtT^8~TpuwEZgz0O`#h8?J_NE?zHQHB0z1TPd_i_8G2p*4ctkM5XEk
z5L)mUb!F~6YnhPm@msFpYp?GC`NZQ5W~+?lWuU-$hVAd~l7MT?@1I#;k$||RclcO-
z#F_0SuolW1*>+vTtrU-ezK*Zw`MvJ&n2UMX)DrFz&_1~5UH@dix5N-vj+lP{fr-57
z=8^a-FbvrfjttnQwlM4Is!*KQ1Sa<G=F2h+A>!;P&_DPDFNcio&krX(Y}48-I7@V@
z%~UF7nsd)6`k(LOYuuUmT$)^Ko>{d~-w)b&p8>-Fk&aWymXtu3U)5g(%3u{Mmx&go
z2`rza_!>E%>>A5_PVjxOT(Gjdu?B7i+c$L`Sx$auFY~N?!J(2%j$czcTxt=_=ob@?
zvfTsDvisTi5g;<Bd7i%K5i43l79Z#tdKuz<{bhc<KaSA{WKW~R*Y(^LG(@vvMw!jO
zA5~;pdlu=&iJ{?b7w8k7NvFHRah>G5`^PXTP43gQeN19Qgl4z(r^_D8H-YICu~Dzy
z`=}`xL)O}@_Jwk2Vw$^DhokSu^|!1D!%v!krjGFH20`!|y1`trWxhR0%Jdu}(LCkz
zFr}OucGkZh4Kd|*zhC`0sriw^tw;YlduApiFjiqp^^A_pU2%N>y)hwcN5;3{W-677
zj0VBbcl;G2_io{_a!rGX3$)HYK{Mj8!|}}i4yjE0Kn1O8m(yp3AYB}K9x7z}IfViZ
zOm*MAwxxhZWnO&BBqs%Uc2S0+s2|`oFX;I^PbGqUjn!{siT5n2(~Mp_(q{a3HaFSq
z^wBMs)n(PTobx<)`;}T&Q5-=(Vl34^R&C-OJ`OJ3%gz?-Cz#lMI-_x&>I)!WW|l;&
zjFuCF!H)EWdn*lvM)cA4Q(%P)lBCc-Ux^DrYcp3l(?LVNL6Z<do41wT{X#(oKBxae
zeB+yB(UejG2l?z6=}S=O59Ou(_lFb;qQHU>w7Z!8y;Qz5jQMiCHb+>j@8AEtUl{>2
zZR7X%-;(KraO163;+wFLhoB(yL&a2pGSSCk6aIUpUC4FO@nxeZ|K4;4$rV+p(g!xV
z1@5g_x=+L-0y?*?>(WY7{e|vN>yyvyC}3MQIcyCfqnXrV=OaP0F|7fnbOTiuZ~i~G
z6N0g#1dE@Rc}`jgrUZw};2bHB)KUD3VPVO_9qwyFzsch5Du9^VxRw2Rl1j%y%=aTS
zz)kW0`)f8dXwmc}<ARiYxWae(rfC@_@>~cP4aQ@MJ7=k0){hR)U);C0A?UhJznl2k
zZbt!58|oHOi>QA6{+|Km5f{R+?YX|Gf}@C((BHYuxoYuVI`+QfKcDnZs<lGDD&x7_
zJ@M}$<y&7KO5r)0{`LBZoR&gi32vmdNVTN!h}*R3-%&$?48Q*OluWonIsM!F9d4uM
zU*~9WwpXPKcNg2W?qj>j4Z2e4(1@rnn9`w*SHPOmg)u@1OKCE6cDtjqu~AoFL_d&)
z!S3Y(@5I_Hlt}IOjGW1SNpav~M=V<5(lZUkJaWiH!@*=BgwkZF&?kLdYS;W@XNko2
z3hc7irG*YZgp3i-k7j(%eMc=H_zgQt`P7Fu+yYpQ3IhHvA)y<jP~s|SD3@L3$5h@$
zBaV{Y>&C=#grRs>x0L{meopq4`4oFz#1}9N=%xa%ppl}*(oLpP^=^*!I&&ErJ#R)6
zBD$qf{;rIXW4LZqqNJHO+qO(g1qi9L$3-L4INDXt{a-m71zaXdS*aMfKDMH%5sgou
zIXM$krz6y@p&o!`^hO5i>gbk!&t-o)>U1~gA)L#4-R^6WChb4VT537^B=4iMabBp}
zgR!%n6#Kr(Fg;-VA{@GTP4tIwMBio~B*yrXEF0^%ZPEMn;i&(#{_T?cXfq`G>R}?V
zJGJqt`7X_6`{qn-Sg*=iaRb2x?(eeig@aCR-5xNj%r$OL>_ja7^N@7hD|J#$Nl5DE
zaZwb)*;xN^E!T<{o#c<jYGi64>Ymf60c?W{&2s%*ol{vB<)qbOYD~g-dpI~eZV93|
zoopxm^!Q-G?Clk*v23AC8eowFN1;FsS7W(!di!I_#%m{5|ENxQZMV~QF#7LqI>i(+
z5!bV@a#`#iRcYDKnEiSA(`akx>8!Io;(kf(X(!_bu>MwKx(H1emOP&bi<+-GGX)zS
zQa(KG#ZViU{U$x$H41P(`e_n(lhNVsrSG_O&oTJnY}zQo>uzqTdH-iWhxPn4U#0b)
z%mq|!O#A^QncpQQ*$pfATM*^4<zJ;=@*T1Mok4|RxX)#{g0|CcT15p+JRU!S`??u*
zXbFjGU-%6#aqJDLso^z*yl6h}=JYuU_8&?upGt5*K-=M7D~dXFx7vtY)EQ1>^7S!$
zzL)WG*QV)0HJ97%bRCrI*gHJuI3?h1@9J)%;V4G1{a`Qo^#^m=EjY`<!t#-PsOi-!
z$y7D}F))BV{%jNIrs!0RIH(O4oZhr<>&o%HqOJbJnWXp2WUEAa!X|<tMUH5}r9D#D
zLCwb7_^@6j$r+x*XFc8P=69`+P+92|5ieUy^NjhT_uT=g-T7(w>>H6<)cmS7Yert?
zSov829)rhkO`O>0u+xFlYR>U#@2aWdJgj7{Hk^QIceR5NNq$J1qw<2m60*sFb(JEk
z`%LI)f5BhE8E1X}7!{(cS!ZxJl(P2hqVc|0_`%(Ag=Jv(^fdx$xs6NTn+fWzeYZA#
zWBrH-l4ja+i@i%?L05CTWFJc+b5+Y}=QRgu(xfKi$3pr}z+SSs8tcAl*^STWxOEPR
zkV$J{h^6sdEB-!}!o)XTJX3YxBdc@W-hLri@97yg<U!OpJg9edy??b-*<&)yWxMoR
z;ygSq<2cGBu9&`=)73Q1I*rFza_DtLOXVj1Fr$aZO>WL!4f^3iOi8br9D%1e`Ay21
zJ{qI{oeSXXK}2lO274bzkeBz%zT-)y4<TC4*4xd6TLHUWf8HB`b=m0Eb6Kk6{Gcd$
zlTk~eUHPl^St?Ib#-`LihLa!!>V4kOugB`aIhO#lrV2-#B%3jsRHi~3%vSjUjk~gl
zMnY?1=Ef-!=tiThmPWPTCDZYzytEuCS8G#hmh*TXNtNdP9~>qh9B==42srfidU<@g
zW%ocC7g%WMynOI*e%R#BTK)8fkKILw$FQ-%W|-jy=6Wejy-t5{a+)g7H+KjNl;s+J
zJzeckR?M_lYnjk3y57;!J}!L_zrQd;=)9G|RV~wfXobbl$0qbm;zMtoa8iV-{nq;o
zJ5p#4aX_8TpKo}J)E(MjScli;-Ge>$pH-)jw8XP@+7MkcExnq5oug!WJDg<pz~fxL
zcR$x`Vc492)0tMmZCFayTfxT=&ZGLvNOCXd8^2)Z@Y*-`T`85MN!8DEZZj$#c+_09
z7!OyKA97V6j?7RHE_U4)f<3gyc1l$H>!3G>QnZRSt_~L@LSHEEThm-n_yGPQik8nX
z;QuJiayk&g+p?B5JH!d)Akt~I?04@7uEDR52#7W~AJ%+aF!XGXAsF!f#|?WU4rp+D
zTz&(Y0W2!DQTbU5-I9mrN>V>Z*R2E9zDMtfZc9Ri;o>fR#ZRxVjPn8^>nbZV-|w8C
z?t?qfN#^&`NK=P3B$Vy<(nyk@d<1yHPk*o7t~Ba2d6e0h`pkvm-tRB9%vDDP>Uix(
zrbl(qd#`ymJD;X{wbV9Nc|I%#l6M(rFqsQQko?Ay3YoH6h^#tFa!o=yew@2oiYp-H
zH5|za#Bl#~5@5q$PwoGE>A{+$pr#vreywikW&YRx!6Z(I6hjvQk>iN4;KPo5$bwaM
z>R1GX5uBLfFvJb8G8wjj=Qt0T;E>Zz09|KkcWrP|2zuU<_Ry0Oc=pEq^*77AVOx@a
zja#GvjN}q9^(x#~D(h`^2Bs{E9?z6Iv5|+V?rf+@N4C0YF;;OeCwkENAD<eN$9~Gj
z5!P7yIBwqErFuJW2umE+TDUNvFUZfIt8VWmTm=}vKCESYarSj-z?~7<V_4w}!_(f;
z(!*sHydJk(=ak%nAc5_y-`yz=1F5^m#VuYnkN4*Fay|VV<KxaAE8YP&We`sEv?kG!
z!0~1wu}6FB6}QW(@6+vcsn(VZ(ebiYQJRN~mudIqnlmB@Hh3{e1w8jA+rLl4KHHC(
z<(d6p=r<OD$GBLHz?<8mS!cTf&IwU1nWYVH>RcpfPJpRfiJM0HcYA`cjQ|JO{63u5
zn1bwlNHn1&bfdULEjTv&mpuW}m*)Y**`jyO%2bg;wBO$U<heRnOn7Jw{X7{a+EQtF
zwktb#dGO1kSQ?$QO0UHlY%@2;<~TQ6j=7&+TThAg`U{%}Pma!q#>>;W(d{+Fyn-%!
z1Nq)=>pnV6o99<w*y4P&%Oy6HQn|8CnBq@`{XN8?@9#ff#1V7H_i=b3+Bbu`?CiPZ
zPMGLzkx@9e@%=TwAt)7HQ7gF%%KrJ8wX{#ww$Ao<ZU19$W+li9^+?JxZe=CZV0&^X
z-ktrpII{WhN`ZTESAXT^N;~(w<JlTci(r<1AS2zh?e6vC%4BfX9lz^>K}1vK=44##
z(!*_G^7!D>O<)(Pp!qRY!$L27gL(C-#nph@`oUGoA25xAL<=W0ucnx&biI#)-`#ii
zt4q#x_7UI#5ww!~v54ob^u<9ib?{t^AnyMgb%Uqd#`IHuaL&)N7Yu!Nsji=1I(y!H
zyYZ8dx$V;}ovfo1iq0zZ(674{yN8>bCx&UeD+}7Eo{qCIxFPvrtto5h`-L97`_r3G
zc666lj|V#*IgXo{Aw<843G=>s`j0hq^?^F|9Z<d2-9Jnh_GkF@aoF#B*X;8mjPMOm
zY?n{vbL$A;hw(m`)d6rJK%yW>9@c4id%L(r9df0i{yz`;hS6`?g5D-=V>gWd_mm8Y
zR_WqyRT}K=(Z;Dxee*HZg!8~*(8HzFJ|E>tb#Bwfx=(nmyYs<-TRW_W)5E$4VZg78
z*;RfI7o$pSlooHZo2UDSR54Y)Q@>HK7MGK0%za{y?S+#5YhixllIf`Gkn*jl?(+~A
zBZG0@rl79dSQNx%(x>a5uGvVqq6L_1P;q~~P^wW$CAc&p@9fiy^5Eig<<b>k-R=%=
zi^EX=;Xejg2xfxJ_b$%Byy2*Jny=zpm3sCj0jsTL1;?PmQkKOQ)<eDB8^!qj;;SDV
zWebg26FWWHeMH&OOV{xaE;+Bm)8t77&yQCce(2-g-Om}J++A+p@2mwlt$bX(5`gt+
z@*!h#(sFtJV!Ns4-IKHo`_|j8IRx}WVQ~g35(~qXY1msaXg&keVH-UzDzMx#fC7q|
zuG^;y3U$%IX42q=NxuNpmm+xE$$3D)O8gTL=6An3Bt8|{Vl&;8{?~~AcfH_JE6jPd
zbmig~ugc_7;kO>YWG$C?-pVPX*PbBi<>7c!xis)LDBMxCf~17Y;wD#jf#=CAqZ>pW
zV$G%VbrMOVD}u?~yU`~PBei2&Wlyy|_;N4)oRJRCMvd<ZrfG`Rn7B9JeBDTnb(}t4
z?6`AYQ^-8xuV6x#AeY*fopZMIVl+4pUndmzLNq#@ss2#A0BQvlj%(E|sqb%#riWvq
z0%TGy9_5x77kJY64dk(n;f_lf%Mj_0yu2pBj5nx}vVQpxt!h1g86wEA(U_Cwv#M{~
zRVu{@+PWM4dXM%y2huh-{-pP0Ehj)C;%tcb==knK+O6{A0#%tJ6z2_o>kdfu{>?6>
zu$CK_q?~key(?`D5~yaCIPpn2jxijjzT)lG?7xXEdCT^KU!U>j%J1n-^6Xo-$2nH?
z>sfvW(VL5$BmuWGEw6f~#byT}%igfQEoxIDV5huvhW;{$=phhcE6|vcarStF*ErCA
z=;)EZ-qY|;>Usauacd)CF5{qC>jo!D{4mB>6b$0ys0dOqgIQh+d*{o?z1I!V&bJ8{
zQ$6W71>{X<@_CG5d9Qq~D!$&M?oK#$b@LO(2>Q$wHwf}GOYT(#7RNYbHdGqxS{=|V
z-<FjKhco<*ApgmdUci|<?b_^||FkjKaWHe~A0`q+9X1J$NaHJA@=f*lN?CinoF+pO
z8)a(#Fi9-@5Rm6x!Am=Vly&QU;@=U~x&@<Se||_jCAZ&l*P0DedsaAU*%yX9Wbrfa
z^A6laKf6}A%`f-%{H6~E5*O0`YIruT0>7W@6b~m((fVqs!@%33*fvu78B;Skk4(#u
z_a^cue9mJ2cl0l@w&x4RT6Ea(z9tBGZzz6^sNWdS{UdQPcfg2t5FGs2Qz@?NG!S{s
zB|KVjk55W+62>ZlzLP@e%u{SrYoo`sxs^7(k(~o-DOWz13PYk&9_T5k2V)l?EC!}G
zgZVMReKmFslb8;3CHaym)8|U7G{Ls7ZvI?t`|OMg-F1H$U7|GafPRYDZ~n+|K~~5g
zq$_<`V9I53b;FG0H>fOz|9#e6O55IYU3t$FTbPWk;(5M&7d4`G5GdYENcW?_kelA@
zD0=Csm#4yh>wV5{CYF}&+Tt-f{rRB9@sGEU`zjMr9?F#E%6JYltUJ@Z_k+Cy4QZ1P
zX=52t_uWw6AS<4gdb5F=G&;Y?+bx$n43n@`>K1{P&3c@GvnahKkwIY9Y?_Q$?<bO$
z)PI_d*3++NrE*nGwTZgp4J1v72(mX`RHi)?2V|Len!?+5<4c}VC`iK)MRJwcB8O^f
zZcP948X%=kfx6RlA#H8QTSL>*LMA8qlQ)-uaP*!?<r}4=ZsuC_w9YxTV2-2KD97uo
zgEskhf#qk3m~XU>g=C9e6hQu;2`3qvkdnXlp&Oiz;FqWB*zEkj3vL?jd23ix^N<`2
zF{SO`It}qbrp$1WcR$=8>;Jf{NTD-q1t`v=SzZUEXi5D(yXvV{jq(gJZH}n_+9~W_
zI_N7X6K69v85j+6A+qzS;oI)<gb#UxiJD$XL2X0f`1QAAE@FQ(>qsG4L{OaE$Z6p-
zADu1vSgQHcdr$GT`&1_?LX6N1(i`9Y@Nsm?k$5;mxYKzRhr&n#f(7Xzlb^QaErdAv
zmH&FFk4aF$i8tij4mE@0JV;exzA$xGjh6I&##ET>wydJIhkwUV;S)>>uM-Ks{&~>j
z9mXD~<=Ld{nd)#-rQuLL{a&G^Bue4Vf3yGsIzXi-Oc+FoFZQ<S{_p)^vA4&XhI^=W
zn9W=7sGCVzhLMtLtZz3+eSYZ=HlT4C<WWE)DaZT1FMo?VefYnD$UEQH27(@|Tc2-J
zTFe*Ejs#jPA6VRXXG*pvqRI{@O4J(MFUY|x6(DUxTkmeToc?FtCCMt`zzLAtUW=7^
z#ICoZHvH!U^LhR$q}<m7QQfKISr!o$uszK+>(v7UWd<Ne;Q+%{`HMl5(vJ>1zS913
zAJ?HU0S*P(nr~=TO*jeiGRh&XQI%<)=0hLetZ*%(90^1~ZJzpiVJJXJ(BXj~5F1=V
z8txM-5*x2ynxKmj?hiqUzEIr253qm#4voY{4uTh!2iZ9ectlWRGZP_@(*Pk28K@^A
zK;PEE5u`zdFA?S~sTaA~Uo#1Q2v1sdldRT+>4^agC6Wea?O7PgC7o^q#fJd1P*D27
zhm-lNg5RJ09Xp@WFWsBhsjvyHx+)#1d$Gc(2MD(S-HOz<UqHs<0-QMEz3hjeTA~>v
ze8yw=2b|#*OJ_DGxC%I^4d5)caMamclb3sgR|1~z?Nb3p=xnts<R<0AQv1e00;^h?
z?t%!c&HHqC7^2|LSbYM^>7OepxRsiwJM@qh2@gh}A*f3VNm3ufuYff#K<Vd0;jHb*
zVyGPIC3{q!vd4bz%OjwF=neGPK*6Lp6anz7t>^1h^TJV44z#Q^%7p<Q3g8izKG)j6
zW!?vpNEkmbGMq-=;cu{+?osN*7`lP3|K0gcl(T@(qvyG~<_AMJfHEWHuvGV60|oa7
z(7(~GwI+6n;MvUwa1xFdv_yxEzL<U&A3S=^D*d+47kg6?FIhJM2x)J&TFEE4V+$y;
zxgS(dr8fb#FcALad~q2EdPktSw-0nLAz&~PyH2cQ;lV|(tA+U-PatelTc6w70vb!M
zS$5L~fnLk7q|5!Wf}boXMqvC{F$5g+kNnu;c`ORaN9cV|W5EoC3gtW=(s86-fE7lJ
zCG>#pt?l6Ne`zeu)HV(3iUq&;(aeNER+>cxlqaaAv0CN9sgfv+jU(0sfZ8oAOU|No
zV9*;$F8uHZ`@M5J5;ZERK;zduh0vCV0~^I)___2k5dDPJ)4Fn&5OLWqgECp%WaI5_
z(LvHFXiGqlZ+SXjPl0Gf=xt6Y&I^2?Uz~N4dur_0cbycxZt0u-kj(914UkLeer}iG
z7ih$r_ar=yZ~DJk4;L^x|F-u8O|-Q`Ac7^#1@%>e#0`Mw(1Q=KN)eX<g;pkoC#Jd%
zNH&bFuQ0@bbCAO5LvW8NZDxL2ENz1BFF4JzHfW=p&?Zy|*R$qD$LFvTOJ$gzFuuc1
zW>S6U%GhB~Yj3;`6@nOWTB6WvEMO-8nDgKxv2j7$E71DRHFd*bthv!%UV|3$S_w!-
z@!8u?k}9a^wSiVe{zg@<*C%lqCt~|;5ZxNl=#bw7TC7?*CCn+%B*-!8{MhzP`PHA}
z9=ryv!CTNfO3?_!^0?S_0<FTVw??u>vFVZD+rVjaWY+65l_vO>!y&MZojE;WJ?{ho
z=;Je#H$YS<QG-@h=)3-OofC|}46|<Ou+PTXF?KOKE8xV+h}w8LI;}_{VHlhMIliq(
zhhNnn7k+5zHc~#oX6t*<LQL6nigc)dHwQkn9ADq_pyHV*8m<xo|04$T7*)dB<&gd*
z_*rwC95x}RI8%~EMFIFbI;v0<jzj$o3BlXZSdZ4%eYqQkR*~D}_FQaSKs!RpF6|Gb
zuLVX2ma*R=$Z%6Op2<&tv-|_6SCSByyX$%f=_At-)-_8f+JI|P$OYcs$vd2OVul2G
zflJr^&v2SlOa|Lu`XlO-(OQc*O6zZKl2E;^U&gtBfB+BF*0p@s=pkmz6;n}M=;L5&
zsQ&NIFG2UxXLfgUSbqyNy^@p_RN7rvU8&`gU$}RNy%cGfvFCH%SATm_{Yth&=W|h6
z-Rd`m@D@<0oP4uu_{rN(XY3}%Om<gUevd}fm+avBEwsxXP+p9#*#W(;JHOF0Pt5Kr
z>gU{S`sP4PRf-U2JS;xjxa%A4$>6*EHcB}-b_e;n7SJ_4!6xU|Z}oM3$=7-vH8Vpv
zZ^0J=JsKzzSeIfp%!{~Miy?5WuUq`3hX(T%Ndq!GVqQ`j1n;LXEJS+0jNm{JC~e&H
zY)v6x<;eT0;qzdz<y#n>K)J^K{Qd^V!=Hv7$fv@fDwtc4d-M^E$0_jMKufj>(#6P!
zg}FYo7gJ`=QWOp%Z8udktRnAbmyrF6pcvY9Ilp->(`YRx`$%aX>GuMkczT!0fFl|^
zH_5rZGEUq6ef|yTkRD<7g$P8%1P$B9#pd%~!VV`^)5h(CLaKyjuBrs;aO`#&dYFUv
z5>Osed|;V@Md#8VOk|hg;K-8sR^a;b9Tj`A<nv=~7I?!5AZIJmCx$NpO=NC}Q6c27
z4Ant_+nVw614Q~$B%#=72X8gq`xox3gqco45AmF{;JA#|fP*)_ZX5#Pq#i(}EJ!O?
z{<+KT^9#E}8Exp~cC(?=&Wu29=kZVZO9#9)OE-PQIy_D<r!D07A#H9|8<s3r2XDsY
zYPeZ>;O4!Z1!zF@oi2w&1R$NR#QrB-Gnm{b{z6^90!fVIjU@#J1e6+c)9%-)Pd0Ir
zj({7|-B;z^ok5cxTGM;jRYUcf)G%3b%ElQoK@Qgtn=;Ew!OOw79tQZvX5y?)3CYdp
zUo@WQoT#FFRprFa8VJb=?S4$(8}ZJLN3Iy5APEVC&ERf%dN{%-dWhAse!my2V$J@7
z*GgXCz?Iwk{@U|`@F-R(=wzUTW7FbtL=@wzab59DA=)Lriw}^f8Hq<On(($9`2rVC
z$o}%8zw^fH;3Q2Bsd%C4a*5>5TGI&l=SZO<5agA-`Uz>-`8}iXZKfQ<t>>gtw>J18
zhV@!vwAFP>(^R!o%T$v^$KVCa3w(wxSaSaphG%*VS&@7N{(U9>xvMT+YV-Eg*Jcnc
zt<P4+KChm(zqmc@n+T#<9UH~fq1EZ9<tS&W`IqssJ+o}fi(G9Rj-aj6S7Mm2>5MWG
z)M!Ay#H3vlmaY28F8YvQk{X=EZ(QoVS5hm-y%BwlI4}8?nBl{ei=}?X3}W$|5?2;4
zk*byEj3rxg87Rivfrex_YZU^-TVF^(*_Z?i_ZwKhi3O+CW{Xgo3@PrekH@(NU!ss0
z-;(#mp~^F>Ct`kDcjw}zK93DBc-@g{!6S~v$}7NzPN+e%>?fvJc@cd{nK&-O>Tbm9
zfP$vk<g}9$XZRZ+F<#22wd2aj3b)OO*tFq<^AE7eaI-OR&Ge9X&>bKbw%l(p3Z8zC
zz`RSDbod=eF=1BjIO`jS6)*MNOZ)YqTmsA2TI~IFbZdjvdhQ&WcuoK=C%Udc7+9Ww
zV$>5E1bW}e)?^YGXTf3glFQ*QTQ(%nAyHr7JJ7CW_;L9fvLFwU$kZ@76el8A5%ow5
z+}|H3nGZ1yD_eW5py&myR(d^`n|)Z($SlK}OS>5`>8&^iQo(_XBbvQO(+=jSv%%db
zs&630Pi`sft2LMAGvdS5o*^^sDCyi*;Xb=Dy3bFctV2QQDw`fR8*vgHBmhCq<du56
zir?~LkEUGr{&6(I8?Lr0_4nypzx9uugn_p}Jhh9yF5_AIbA?mWsqq_`eD1@U&l0pJ
zXh^ymRm{OZ|6tk8y-Lb@`C2@58+apA%xdep&JI%2Yz_ApO2xI11~9|`VS-@sYwIke
z@9bxZ71XRSfc)D#%L{IG)muzEgAYp(QqS$6=UD3YY^<=OTXqWl^zlVSwPH)xEgtgq
z1Lib0+O&75JT|=CH~q`6nN4;iBwpvEorHow{WF8P9-Y^Lgbsw*+H0>BQ>$kW08$CR
zY4GGk3He4I0y&X<s5q9Ve1ih_C4T=co_dxt|Ee7t!{ld<Ww>zi&c>1;@*eIm13A@l
zdCyfG-wnKe_p?Dx394c`J^y&)eSnGhwHD6nnj~aiR8Glz8K7^BcaCRncu31I<3JL}
zSd%BTmHZTaW+g+Y{%<`hItAn<`;rF=Fxb=Y^o53@vz~<#jQTtYEZos)Hkdx{x}B*G
z;>e;QWxKOWrkJA2iTu(2+ONLMvRgXMLZAJOfYM)ItKQLUHhshXoVCXok)!c@=Z2F1
zVb_BP2ro05k7+ZPGMPuqUXbqVlWTr%q?^XAST$|`Tsx~7tcO3*XI3x6<b~&}EuL*E
z^4z}Jw6lfa3Uw^?#ag7uFBP=lX=`#TcHw?k|6%SeqFdBVHj2K@5Idj|S6QqGwPw=-
z&KoZmeCm8X-*47zs!A`1$;l{S#Sw`k)%srYgt!v~#i>u`zUi<WNP#9;$3W;Y!blJ#
z6MttLba9~$xkNp{>b6HBYI+(44HV(tx!+B%#rJteHgdi)E^x1fr`+uiSRFX2AZBCr
z3tM*?d>0?RN!b1PS<@)g+H|0MC_ggG<+~O)ad+yRvcBmnzqQxv>D`3)zlOcg=SK8L
z%ayS0ytYM2k@Fs3y%s&B47WojjK?zOUM*39My($|BA~aF@Y7h<rr&%U0mH>05iEL~
z3#EOnZ?t>`Kzgl}O&(X9oFVGR<A&h`=y@+k13U*z$8Fu25^_#vlzw08*Q3oOX(VC*
zoLnPM+g2!bGKDUiq@aFi)(D*r)wx>`pGjT5_e&JmKO`bACx|<C#*Wmzr7iv)fdevt
zRzP4Q{q75=`O0=5x<}V`y7a?)PRp6&p>HmcZ3t)r`4(}d5@B5CpyAo#bN4-#<Wjc_
zG5dYC{ki!#J-0v3!~k^(g#rhWl-MW7-<gw`e2D$qb<(6Xs^~E6O(C$ck9PN~VW^X<
zi>N!_4K?*=x9(8K<V0RF(vtR_<H0f2^9R)@cPDcY!P^$j*eAxE{4fJrXG*dj;fyr)
za7^K2)2M>nnQXcNFeWS~!kRtSYadVg0*qqqNmhOYeS+iu!#ThDk%|Xt9#KFd%z?mm
zo@3zKG2Sw;V%f~F6`u&%rJu9i1^yl<7Rk**i1)V7ZT;XG*IsJW*Xd!j0y2Tt-E>zi
z*#cs^^V)y04{N|15u2D|U`Mv<!eKUb^100BjSUVjRXLxP+D<MmxIYP!K1$UxEKs4Q
zq(d#DsNyna>V6v7?mFnb9*qf1!a@r!P2#dMOyZ%adLeBejolC~5l-}*S#sQg%yzrH
z1g6fBRq1P*wU(@hzWK*|WcGpQieUm`^sk3Hir`p8ngBy116q^eT4#(zg!}g0%u1+I
zS6*UsOuDS2Yp%=-%7x%TDy>(MXS|H+qN}ujSn?KriWi*4x@Bl~@WLc!_?0!DO4Un6
zpoH^pefhX%Z1S@s5TnNkHEKFk<d`ClolGQ90-v)o2!Q}cH4<5W6|47-I5o`rsfxD$
zpXA;z9AIQz0C^a+U*Hjo=j%=-e6Cw|!qBuh8=LkIL<32AijSB+9#0-<jWxs;iIU;A
znl)33OLXOYLz%$R`93c@MwjCuYZQ3iP1D9r^Ia-=yn0HP@FO*UcDSq~6$c1b1d$#(
zE9yK!#*ApmFfAAh(ISSo$%#SSXVR<sl-L(f+&kaSPTZLO9a}0UeQ5+%PTHB~Y(>HF
zm8<_4VSg5sc=4-<v6a*Qpe@jF*#!7Pi1g^6<=th894`XoX7`I-2@*4tc{nYftlOM9
z%#LJaeZ07m7N9r$feG7((GZ9Lx7~1TO)-sO7KKuC<F<OH*z0~>rbV|Kze!Pul8cpY
zmh2jmXSlA5`FBt_K=M?J6c+{pR%dJ>*t7LZV#%Vb4+yoDjHDL$e(|YsdEcE2vOglw
z$Tg18x(Cz$bcN~on_sxn665*xQIBJ`e<PDQs>up<JAq5NcJ-F6o0z<vCeNbNs-Y{?
zV1NK!yBnA?0%&>???vi;UQB)R_6KpAK+BIrpg?*7gzkcBdmD-SD=>-MuamPX*%qxn
zK+}ggB;f?8Q{@g+Zd;)SC3zd!n0i~=4PfuNu6)IRcG2(eYG@?M%1T+7aP;g}kPk3z
z>gqnY48$|Lo*IckX%v?WUdofp2I20FE;in^`tgCFPTlMubQFbx83=2naB6%&;eoV0
zqX(4;Ht5q{+`;rO(O2x`nEX{-^GbQvYyryeuTPGH0`A{ukO-OxLpK5v+BKO-{sIhF
zee?%>$NgWS@VOC!FKL2&PK)#&%wNO_Eg1^ea5=fjM#3Vm5VMol;LfvZ%hcf&$#1=2
zr+{H;)@x0Zso9!FjbKjQb=4?7emL?;D_AjUUj0VfOWEDM1A=$XKSOT2K%f>D<#FXj
zW0*E1b1`B)4gCHpWGu#LF#CO!VFC<>_*&K$ABPa%nq^N68uP8NToityJ+p@)hR|y{
zflH%*U-W<Cw{%=^WQgr~q=2aDdEcs<rrGX6AEuC`*l$g`V376le;tcB;XVsU{w+KP
z5wp#P5zmio4r<l^3=Um+&$+R>#0z8!{eN_}Np5B{A+gc-(SO0o3a`VR&&&V0?4JW&
z|AwvmNJ^kEd1lQXb?fAd`{l^1i6Ecu2TAW@BBw-w5Jvo*KI%U2!)Fq2oLSh#c+vmV
zO|f}#M88MvCWPJuC*DZB^D*9i%y~(@_lhy3pzdBktF(>jemDaSed3Mp_tmb(z6?8c
zZB_a(EA)QhOUq6Qw?h4icG_p_7F@72nn9vm?<5jwiMsaRprakn<d(fdv_WqO>d?VU
zY(QL?CWOBYbi3{I{f*5zv<2e%cNjh0l6$78dcKfc?j#oe-wJ6DsKxOPjgWvSDHaiR
zpZz%0UqA#!Nl1`C?|5=BHuXxE8<8w?^-*cw4!+^zkp*V!_M7L%n63B5dT(lN`7$jP
zeXj$*Gb_rC;lgl<b*vVPa&--zy!j(vCk7>P5tNpII7b$0WOSeGxk?Ei(96w$SWA(J
zw<3n|A{h1c3^sHv_aAi1;l-({qGXm*$<JW`lV7SH@xW~`L7^oMpt4sj5+T^+GSZ-f
zKM>j0Zd<RkzY9*!4k;8+Rq9R9ai@*Wy50CeqW<%q1Ky%HI0p7D2g>1xTucioy7FLr
zcmdF%*T*H`Ez}z_=uRNIGdKt7=36sVEoT=AAC?QxuhZj$iKoOU^>HeQ2MLyMeT|0y
z6I8?ims$#^at9Dnmzdi#)mzjNH_AtcO*geiDP{8&Ry`b}<6nf_lWi~wuO~ApU3u+{
z#S!R+L_JGRAZNBrufIIZ)Q#-q!ad;(cvgqkQL6ZH7*K`@KXF84Yw0R31Wly-jmCl$
ze7OfiGhAYF&`Ym%#grMmy0v<Bo_*We9{HWrAo#)oXrZs=h1pdKhxH(cLJQJ!koDd$
zx%?4$_d#)O`%Jn1Ofs}FY~e=&&8u%Iub;|cj119I|EN}5TPEZE8QSp^^#VnPD0zXK
z^=a&mk(`qsB9G`=Y`cKx5E}Fe_fKq2oSl26XB4%3cLU+@d*lewh*nqCD2=mHKY8!k
zUZ51({IbmZ+Irb?>z*Q(9UeDLikgI$9>@h(_;(NKGV}J2wYAeF<ynFBZw9IHNj~|f
zi&Y@_5QVcn`)dzZLXW#{Sf6YDY<7VtVtif5oZai=M|WS@W2hcjql&j&-ZbU>T<Zp}
zG~+QRm(M#adZ_+vN3P3gHkL8#;Mfx&&>3RqJXc}XA)f=sXQ1!iEK8%NN&3cub3u4!
z{Eg7WSuhJDWP8E+!$B7rtqB#b#NP{un*28kK8jdW#Nd0q+osFg!E8*a$2nohbhQ(F
z1&`&_7$nTUN{Wuv?l|OVyV9MlcOD>_rGW~SE6U&|?Atc_);$DaJ-2%VN_u2KMv%=|
z_oO5JjaGZFk)WC1PEY?hfA|cR09xi68;7y5223bwJ$_;G1QA-$;H)wfj76J8P=3eS
z+Q4VnFeVxk^5tO*#6>!|8n}0rA@Tag*(^)3_v|^Mi&D!e0Tc!YCt;{d_3<0L3^-vc
zqWs?otVqKuBE29`%HMTR-R=8E<02qS3k8wPr!Qt|Ad<O*Q)o%!+l(T=nix-rXfD^6
zKb^kPQZK}VzPC|iU!fPn$)r5K-HeD(U2jy~#cCxw#>vvna&P-3rERf`jk?lii7SW8
z&d+4({bYtV+9k#)p~jlY)|XoKGVvZ9u8KVL@e3tPJci#0m*wb+B0KpL=FPb0O~0P_
zM?+lJPdo*zc!S;HhBaN?k65*!RD-0+{0s>Pk(eVTQ`1bG|HEeI>>HPYYzOo=-Det1
zBRqkkM6@80<7Pkk@%}5zE~jBefaHGi$lkT&o8>P+FMUigV0$sy^f)<|QWqTMk@5v~
z-PI!4qo=&QIP@AEK%d=|VGjz;mT>efMx}JBfh>$D_UP)*c*`i-Ly&ZvedFHvPZPFX
z?tCiVlI{<@VnJT+&1OIb0M-PKkT~KyiW4FYX1*lVPhZ2G|6hAw8CK;Mv`uUfq(Nzr
z29a*01(6O>q@<-Aq-zt>se&}pAR^r<2uQbdw={w@-`WOx&Uvrz$NT#|zq}6nd7c%s
zW@gRYbB|Q2Ezor&PL@e=5VHrVnk!Z*d|(|5HlixXJ@pT@FI5YYp32{~TNj~$zj=et
z4Oz%{07XJ6Xz>+Q>zi-2&SyJg4<j;Y&L5-mV=|-iNDljXyd9cNM5nKh{)U2O<A4^>
z%6v)pDqjARVchj@;iD$3`BVAf+toLWZ!1jYC>R9z5$)^AvI)&*w$zbYCE2zTnXq-B
z42|;PM_T4Sz?s<wHC^F^>F{+z0F?dqS!Dg&(1K=kZK4(hDN1B~7Is3dBe$Sy;ZB;&
zi!_P~6Kxgffz74$uQ-Z2GP&*)VQAca?qn~ByG>C@`dnU!Rplseb}Ecb+Emi6STwmA
zdi-Li44#_1R%g~$JDwsrswq%U*px9JSH4*N9G4Kl7L3wUed$CF8dbg$e24*=@PFJW
zyid*-i&C!F&ls-=@2}54`Rsf1)~x7k_k`ox9g)Y>-oj!Vb0OlX(YCR+%5;@fQQ<kn
zR7Qifea<-j6|08pyW)FIGa)Ns2)zS0{XymT{-O}o&Km`#*A9Ux`0u4?krt^6#wpyC
zgy(z%GaIcFODU%bv6$})-b=j|-b(9@-xP!(p`8BNg@&h{wT~phV5}*Gw#)x$Vm7?T
zn#ip1`lk>(Uqr<@X(N_7e1-cy&&Rq$YPeB!Hy+GTH7I*X=<G9T5PV+%X^h|vEXAf^
ztfm3O=Tyu*Vh!Iy&lZ}$`nq#^<IVT(TPutAu-U2a9>RYy8Hbx9ETK~A{fbT%If!h@
zcr9*xkJ{uEd%DXF9zW@E>)wu3sKx`_1-O+2@qrIq%ZWy{<*DSn95XD5XG3fZGjTq?
zdzNBY1TBvXh0v4>r#qPN_@15Jjtlb<epb8A+c`sK`BL;gio?9M>$LVhE7k>BqxHp7
zQ$WLZvvq4m*Y?AUj{HEVBO}PBy@0#i-k+OEs<i!>)z)x60lK4C)PK5#H0R}Y@!|3o
zmPZMhZ^We2Vz%OuT+y{{&x3-M8IStWDb=r+7hNB+jV=MCzq{e$Yr|gKBeQZZ?VBy_
z$Qlk7H=YD?#UmZZm#^HxxfoTvqx?)Nm9((Z<~UCxEZCt1Zz9h=Vtax*LeM9?gP)Eb
z{Xrjh9$&}%p%*com9$a$%6;X1e1XT0_AC1M>ih-4aqqxhQ(=x><2;(MtxgLQlQHCT
zB|+fxYaY9YGW$&)e$)1KfR!Gh;3#uM^z{9-Hp@D}<n5<eVMOuUl1&c!Z{fX6u>Hdu
zVz))dy_gK>g%-VH^%2p+WM&hvE;v<APt<3m==q*64*~RC7PmS>y665>1JY)%PuVyK
z0+h;ldr=M0)jq<wY{6(auDEu&F=x%<xxcJ|W%G{468z%T%f`I0D&xAC5~ou}1-M+i
zVb=G1nbyvwsro^}y``t5Yc~b!OnrTxeZx(j_NmBW$_WnPR`@!|uv9ACkeI^B-yq)<
z|7~%?2V-10ZjfFI)N#-EVY$9h^i0V|>Nz|+!8MN@;rGRN#}?Br6jt4%@^(IQj?-Z{
zO8RVVB>xf{<u0em?D$q~SUSO@2Ki!A1r-E&1rQou)Pc)ph3?_KX>j#)_SL>9*i`;m
z((qDrsIjd3#i!K`X*$M)?#~CP58r`HOE`$KJH1Nny#lMiCJ%?vg*De#npk6|@R}Dn
z-Hm@YFn>s9M)gStGOmdQaQ<7hb&TnMM#eypghK+Lh&c@-vp}RwUQ+jo&mEDgeDD<p
z<^>3<SRK(i`uzJ(g(2PuquamgGJgLYByEvEW}f#Ghk*1?*AkYBMMAJw?MbfFS9l+-
zE7mCAu6{&p;tMg80ue~@BTP^_1q;=I0mb{n4LFVGn?6>!Af4l|B8*=M6oT;S7g0dz
zKvu}=<9(-&t5KxpLHN#5mehwSL$L4xeo!kh(ut<89WseH+5Yb9<ezMMH>#n`IWn=y
ztPPcI_nZkB56ID9pJhaJ;zJ$6gZVE;9g{zDOvJEQC`AH<BgYewfs0LfY|Jm~G4NrQ
zK!)c|+ek94(szg?7U9cWevsmkYw9P2jeCqHGO2yVU3f#f=R>I^0&JbP;H@?eo;$+8
zci`=E3Bzy6-75=FH%5yV-d9Y|^OlUl7(YPv_G}GwLU9B%7oZsj$m)1qJT<GVv0Lh}
zG5_d?iZoHG!4KNsfOK<zJ}9>bl<8Jw9>c^NAX5z*-N5&Qu7)9EIq^crh<cRY*en{o
z;isyfcUt!~5!b^3$_lik4Uol#RgdZh97kBsoTDDdy~Pz@#4?kwLNOHVdQ+;#2L*RP
z&4T0c2(U>WU{QVou8kl^yzt6xXQ$p?gIkm8oSYvUDNX4w<3ALUb#tA8&w~~a;cN?_
zL2E-QoF|Cg!3wX&zpeH!fKu=z5Gui>bX6<Tzn^pVuHoceVhynAV8UY0D2uY>;vUYc
ze2RaY$!j&KwqcdO4c?X_>;bUUpxtKhZ7dR=4RA}zM7DGRt=IfDjgy{_u(y%E9IRiC
z4Iy9+#|Mec?})dK8jIS<C-NSH)d_lsPqObd^8$m!IV9@(8VDO~foMOf<;9}ng(2va
zS>&Oidn|L7La-dEnBoEYzQOu1D(#Q;dOCub!P?VK7@nZV@FAR2<l6|@)OxVhU(M@E
zRS|~iVEB|7_nj2;oV)3VJWq|wzIbl$23JkN9F#sA&{+y};hZ>q`}7HI2f4<)OjvzO
zqG!3)6tNk00jPs-uOeZ^0*ohGEk_1kp!lIcr$Klm8|mBQ?ddul*R{;jVqKTnMkwGL
zc<TBU<YG|wHwQ910f-XYEwh(pGhj`^%2enXU0^LKSgI`f1e@fQNsL(Z;F+5N`|#ID
z`^wDkctvC*LSc}3q|>h4mVH>Wf|W-vIzi%K0~T)YIh#GltO)jyhP8G9u<a6E>*LpK
z0q&l4+|Oma_dPkSTn?GL_(Z#3icaB}EV1@fCqy6vee#T+ZK?7$uR=r7##GFxUf=Yn
zlD=EQO&agJ%**>N*#Xn5pc8M?HO&Hv3;-2iC>0C3xqneMDP0?q9<BDpS-r3j#A^UR
zpkkJp5!P)0!j@DE8pnJZpGBfgtQnn(`I;{Nh7zRQ$Vro#D_9)~Y{Mm39eIZU$I2Wm
z*wtydN9*c&$~)uEsY>oV3vFL^9;-*_(JQqTgYR;K`goMDal>2eG6r}aNrsW~7we{|
zj-WwpzFEb*@2>Y(&jOc_oCiRdUA4F^V?-aLVv`&ml+-J~<4SJPUGOhh_am`o%NPO;
zT82J$_4z%~@pz7gaeX?T(^z4Mr{!h?=)Uxp$d!b58MJd4bJEypy8HgD{ekeuSG)E4
zmjDQorI-?atMZ<`SWd;b{f)&>8Z0{XiP)>o-vO#nm&qvu`(uMRR_?XR$4(Bnedoy|
zdRFih_{89~u5(TNP;;Vdz>Uu=Db9q%$BTxF(rM&h-|p<MTXd&Gi`6X2+b?T=|0Ntc
zu%kil1p;bzcliNzh`pIcrJ;dkUe-X2@+Zn7jZp+*2%&(~f~sLT`?W8;ny)}(2icUP
zYFpQUp3hUy0e?;gqB1O=5zC|=twO}I=C?Xi$r|6?n4M@RW1-Fj$H&7^*9St;s-Kwa
zGPem}NcPDEe(~8fMe{uZhB{fu>9g3UF(ZC^DVN77`*#<38;&v9#Jd5;gD4?WR<#Q;
zl=?d;DqqAQ76E;V=hX4%#c!P`ZP4SRC`CN`S%O6YEye?xV6t2?nN&Sg35>}?PK(K)
zvb^rdho<=!6zpCXXMvDiyoa~Kh&YkS2-nBTNJwrly_#<g#nQI#=5}UEzZ-UNL&*tb
z-VkxQ>TY&|Ob-eIA(7)}+E~96kQlziEDl50F5-A`YY-Q03`>sX&iG5c5K?7+qBr+M
zDrtQO#P2U0Oo6I};{sTlG(fi`iD=^eRX}^0AhJx4GBRGme1-Q2fS1XA8r8$OmPP|a
z&h*N80}ervv(-@1nzp*&0Q-caXYbprH-%VEA$1Tazvso#GYT~dk88@oa4!gNNd_e;
z8Ku}aIcV{x35_mW|B9x-svSG;4|u|ikYOww`@7@n@T8o@FBp>Pi0MpBd>9`S#QpZ^
zg?EE&uyJa<LZq`s#WkH0qm@oTWHlsWg}`QI8uULtJ{WSp*iTUuN<*5sk#8u0kWls7
ztST{P<EYz3Oq7K|*p$<!OEa7k*3Jo*!zUMWUf7cSI$wg(5h>%Rqtx(9xqMCX**f*-
zp|8{R$5}kFYDS9B{WwhrGQQ>72tLlay$m0|`T70L&dM2aHhyjt3)Pr-Rky$hO<;>*
zV=s*W$s~_ScNt)vMTKxExF3aEHJyOADbzib9ffLxW|YZt;<8jw+kl6ndFML;06aRs
zDfiU>5ml8kA0Zww*Ti-XWgH)BoXdh}@`|Fzx(cPsC@62H#)hy__VES#N`%I>ns{I1
z;}K_XwPTt^e(<!dQxy$d<4wviOcTXP5-$Tt?WD$qJy4@BqiHRrL1cH((Q5$Nxqa-L
zW*>7RPsz_}Q`}V)kmq}_dYli54{S_)UBb^)6i?y}HSc@w(x4~y0B4n?I*Hd>d*jw^
zf9)`$_xc`12mvjU=W>BeyN#4AcQJw`AFc3xD*$aqCCG#q^-l#|Xb#+4`-=o~9<&D6
z_c_NRjNg_wlwar*?m>AL{vn!w`OPcGhii7E#I7wy0h}qLc5)j|pxRD_l2|_hb=^t~
z4zV^BZh4GniL+)cD`B90(H*5SD}Ca)uo=?;b%3WoM3$D7Z=ij%l<3)za5lrrqpVm+
z%)Yca(=Ugv12~0Rjv0;&AcMZMzhaetZ~h%hc+tF#*=%5@FA^8Jfa%)ed<ZKhiHwR4
zRq;N6cUpv>iAH~VqrG?2HV`x7n&lzr^CRiDbB;fGGjTh>FoX%zON1j!CcQX+NAn^0
z_?`ac4HP%bs{9>tSo5g0_iB<sl*2x7po7+_T@SXt(=IHLOYF7xG9@(PmG*4QRG|m&
zO4Jd)_lZx;!j~}N0S2<DuSK^csEJ|x6*5RRJE$cLlw0v0{SaAB?pOAc)K9xIMmci~
z_#3>5u{5*xt(S%hYxrvAQ^|2U1^fejPQI-g;TIvnYjuounp`CI*ZrtM1U`B!5W8AI
zP;VM03D;(gfd!w;W6mf-ieSOAis@N2y3ldEMy!>>7ZwpfP&bgFsV#P<XvQ{aCrp#$
z5ASpwT)iv#Ipf;q9+L*KkmSM;qLy42MGkhU$?Tg|!p)PHDQ7g{!}s1U#h`FL#3!(4
z4Y2Z!R0s&XSLBZ}4R|MnJ!oFB(_Po)QEsErG?nGSdT^T@i7iazuqXl^I;p{hj5629
z4k2cmn-aT@O&f|)bSK&Dz&&-_W7{p4mj4+8sIb=Q$YpZ=EZWlhaxcE-C^*IAP#xj5
zxa^Siw;~l^LCoCp{Zr^L$W~#m<4nUCp1uVP>W%t#Px)M2o=xY2?A?#kmms?0D6-}Y
z&K@T=%6f%Lwnk6ci|e&9gDhW1+n+qLTE+deS2J_I1-yr#0e?ids{7@OFq8-&MYx2L
zo9o%smhIAz#J^o?N4ihA$=NID%gGsRW(BZMZ`DMO40aJ$%=`5>W%G?C-#pP@7-d>N
zTWt%k&|r}mlPpP{wCSDCkWaae%R3|i-$iSU$5J`#Ga6lxb}D2hb=KJbMJ9`7TE|b&
za4vV0$#Ed--Zz@qy&Kmk9(-YOYgougvlnoPMjl>q=zK9#$(5KU!NFGl+`S!%?B$aH
z%U*sg*W2(Yq<lw>3lGRrE*EN)8_2;l1%Te1fbV`l)5iqK>PaNds<t=o&LS=4Wgq1(
zNu@-Vtc$d`Ex{Uqnh9SKh^<x0@X(Nukv6$l#b%vv%Vy>iM#T{vjuC^RPnvb*+>0X=
z1XkDA21`No$%LIIx)RQhJc{a>kPynFV%_!eS-yGY1bJ@oDb*m^OcKdHDfFKJ_4;1t
zd$A32&-Cs#J%ZauVMV!4?$;@%(!@iRDgM!tWef?{q_@r4fJb&kkw)-w(9DrVI#%Kr
z{9U!>M4`G`aa3hwexBLN@OpC^A-vF7cPwg_sRsVZ+E57Hrq{QsfW+8K`+?Dy`XoP0
zqzsKNibGJU1sybtn$2>A>tlqu@Mdb=7_J;!IqRuFF)4#+c|)3=z1FLi^B3tJQMbfy
z;w{UJ%p@8%to2zSFB58}Ihu+yIea_KRQTjWqA!gvpRn30F*F4nRM1D62y^{|$ENuj
zHe_%<D_ps0@}Av;2=*YKUFjEx4pQ`8TlpnD_t=qRZ<Fo4g*SLx+Pnbz5;{B6oQL^^
zAXLid7DibDh&-mP$2B3jy!SO*)gfOnnxY@UWovr*V$df!;C87{%6qJje_CEOhB4Ho
zFVUn2FR7xDQg;c2_k}90i=542y%&z2q428=aE*Kcw_&20V_a;qz-1>e6tJ_Vv>YM^
zf&Zq|$)xVO{`k?w+sp>qNO9ez*4OMp5|!L;p9J_VYhfy(j}czz7oaE-6);fr_>mo0
zK;}A3W)p{+j-<p_VOUvm`Uj0>=#k;CP2roQxAbd$Ko!gqKxigSUtjV;Ae49R;a|x>
zz&a+TGN`&Ktc9!Mu@J_awNCKq)SuNI{#1NrgO1iJ<}lDjuz+C)IEAkt48U!;zq~%u
z70-QVWW{(hxMB}&Ln~}rflwRd;%sF(w;T{YHdEXBvd11Hyt%!jn@C`3XQwhp+p|j&
zU^PMGy?eR9f|=r8;l5fpJTvEi&jg>e!Cl-gL%>NTxkz!^7Gm4E%2(vu8S8{6(euDE
z^kvm7N$_Y85-O8g-R#zrZ5b~krg%zxm``!VLXfJCVl%Itl@-tJ#(|XWV1RA<M9cR6
zIJu7b&d0fV17o8~|Bupx>Y1DN9ek0}xvztbiBlaP*1ZzG=SG#&{NmvNU{VRI3LLu^
zYQG1-k~j_N<q}lMRj0m~iGnV6tHCueaG0`^$mv+G{tcFBzPwzAmNSlNS@$pQk@KJ%
zb0`LYGS1A7WN}PlsDD_PD)qKfY`Y6$@-|B8n+6G>c2}^ycD1ZWxx9$h`qo3e(2Iz;
z3e#q0E*lHd>u;W*TPt)HYt2)(J-GzQw@=geE*KqzN%fyGob5(<g$npBFfRup8&MhV
zgx~3WT8;5Rgn@c(qWYS^q4n<+=3T%)AZz?g7L|(tnkZEguPAJOI7BK{gYkx)`irq0
zXz?{4FAle0;sKyu_j<Xg)s=(NC2kUr<JnJq^fkF}M?vkWe_3fWHY?*`l^1>w%S1N+
z`ZKNW_CoAOp*HemckV@{u8!&z_1lU>&xZ($BmT_ewzl(|37_;ww8r}&38wfN<E@i!
z%{Scttg>u#dzu2`y;@D5?2J%HfMnD4K53ACdLuE_p?1vVzVKUG&;Ck-7~*M^8<YHr
zgO;vAA|ghcJ?goo>O~xw$3t)+^d`@ffA-)FD`zmt3j;)Ldq`oe$82OC*B*cAZNdlG
zw|+yJ7zluiQzZqvt5ZPlQZ(8YgKUmr_}iQ^fvrkkdvEC~KkFDCz#_*mp~7EHS8hQ`
zMZDQTU*2LnZpM=iSViV=NMBgYe>x`te2lqHH?Szjv1Y8ty*WDY=xsZj>Lec658$p7
zY%e`&IC*SHgEgNWM&6z%yi1>Mf%f7S_1U~RLh`*0qzHy*Jp9z$dPsgCRgXMlx~QrI
zHwZ^!_hK2Bo~_2Qc~#joz{pQ?|Fc(yKe2niyM{^M9&<f<E}YTLzT+J^9Z?D^+vEUG
zluM(n{-TsY{sTWa>>xIfpK}heY?d%-0|X8XQnNefn74-9`n<If%dKXroj22ROR@mV
zVydp}50G%FC<vJ$kXpkqrY2kn4DU$AZW;xyywqHjZZ!?sLBqXsvr&wFd4b~LU5v5&
z*QpTp6Uvl)yK2DQZVZ$7o-q+h&`ms*B|&G9ex($a9=!QANUa`t(e_=<v9ct>YX!45
zwRpj?E^lMT-giJ-i&7F17zu96j+;r!iQ7w``aR&{p*yx;ul6H>Q~oa2lbKt-fH`->
zgfwK`6jw}2Xam6MzTjA|QFr-hnhI}zv!d-VeRwBJGJ{w45Kxo07O5ee4Np=fCd*7e
zgX1~bG$>J<%@jSMHQaRe!r9)-@}@+HaabK~yvK=0*zW}y+y<o^m&xZ?r0#tHxx!`s
z>2%^KAuiND)*B)N;&UuXubE-k=^<Vy2!OC0j8hH=iqq+GcLi$(HuF52r!|SQ8ChM-
zxW$7=?Kd7A1ZopdLL((DaZ^Igo(WiO_*I(V>Qf>eQ`{EWfns5|g-D=d<Sg=Kg7UbC
zTCKM)*w!AUw|eTs6Y$y&Et-XMug;O)x_uqvW>`g>_a^q7oPnM2Tz>dIhF%@N_B?P+
zX;LxMCHCi2`(%YyYWZ}vm0ucAM$Or@e^*un2zb9?+h)g&LbbQEF&l|bkUu47CdU%f
z2&M}$d|b91;46XW6UL>QMkNZ=AVUkHYnQIT9~Y0<Pa7Z`ve@jwseVZ(ADpBa2?sG^
zPN~xS`l4Htw_A(d{A)Qg0G0DCHL6H6*z{1YT&%nl!H$BRl|N7qutIm>Ib@3nxHKZZ
zV3tYWrG?N`zjNB2UbGK?Tl-f1k?U@*nyA-2q8v4}%Adx(X`3L0SxwY18ac?T-;Q@G
zGgO#fm8Uzii)B!jrD_q-!-l<<n*(`UcDHA?tyB$Yt@qMrP`c;}-e46Nk@oD`>c3gz
zB)dVPFXbrJkA58vkkb`=mE|7}+DF?BsJ``7VU`!6PqaaZPUtRr6Y!?xh0f*4m*aKb
zKJhw`c$HeP8QZhwa!DwbT=^bzeW;MC2m^j#jzvLtz~ox2fJ!9@szi13LuZbj^LO3G
z$Z35%y%)aA7wK<AxAW15;BaoGuJ>aZtf16sqaDC^hz2Si%sfx{UW@6rU4IFyk?F$)
zDn-_z78VjtWk;EfqPF7c@eeDj^s34b9pyAz2NaFY;Es^{1}DvZ2dnMDL(9<9Enrl`
z5I9OH14cld`>lzJ^u|EJ`;s|BLWKS%8`$)09eB3SLG-Rjg?DIyb*c>K_;^LR%9O`Q
zFor>UNLX8mD$bUUI=jC}SuIV_wk~>z@tbd9+jrR#LV>WAn7C+qrU#qU!s*6*<C2_Q
z<d5Repd)MSRcl1DV&|=)I)U~vz7Mb`GWO;fo*LRDYOIpFgsMt#2FQjkB0-cVE9+fc
za4@9MP&#+6Q<KFb=cs6nF)>gND9VKl=P45Us(*LbX0e^hPIA;BeAQ;Vux~_(9(>+#
z^obS43acXpDuo?pFMK|ZEvn#4O5nPRLH(AX9(N6@_MVuC{JT>#-kS<D7KAsZm>b+u
z@RK{8n-E$+lyiM{Z?BXWW~bw*MN7@{JaKL^46oANue58i;v$X`&v2*>^~XLXX6d)i
z4SkCnB~6^+BSUwnqz@nWYD-8V<s)*mtbd=5zIT6P%VZYS%T|Err`p3e4c2O5q*2{~
zmzGS+DpcftL}djQ4heM&gBx<s>wC>iCg~&6gKyr1Jw*OmT20a<0$4~6&$}uTr|-G7
zjoM{Qfe16%Fl)C0sF7LK|HRxYro_J<J9pHFTNGct8>F$qQQIjMfVPC?x#N5MdZ;jj
zk1k(^#G9+Gi*=!P>85!8N=Qpu_S-4<*wG5o^TpauQADq0&J=iR7FVj?g_0X;6te^>
z+qKJ5&9e)>yKW@rOkDI(OM$}-y_tFgH+x*05#Z9-fMn}LSkE<(vPgqqlDbn=-QBll
zRj+X9=@>gc7<u#xt{75=A1y+Ch|SELXcLkwCSH8X#U0eawa;c;J<k=sTemUSg7Kz0
zaL{-{gRTybe0KHil5Jx3qRaBjlI&MI8a-T+5ZuI2?KD~{JSP@~k3RJ#-(1F->vbk0
z#2RdQdO=@p5;=?k-dEy}cphRD$%}GyBziO)b-^kzh!@Z3kOeNiZ;cmP^JkT`qIV(c
z5~BF-Ze^X%hQSa>;`j`&IECj{&9ZL2vX>+6o?c7Ddo$=6{2FJ1U6tRmnQO4~jAM7R
zvZ;CN>khI12UP`5CK?+G*Ulo+gU(=zjdZr<cRtC+BTY>SgW{E;sGkRG)YO=&9LBrs
z7H|kh&1V7AP=&<|Znh*cQ%8occB!LYeksu8QmHq9SUqGIgJl#*pwg$ex?OG__X5D4
zC6bMB4CByjZ1d%dl^8_l^gG3)mAP<|)f9FpjNvC?*&r-p=zGtgmvO6YwT@{-FJWCd
zV?)j;fx+>i=y&|C6w;HH+Npt~)GGUx`NWpjGV(=pC~T6uY0N>fMl-C$OnJ9!JGyX$
zyBJm<B0rmNuj(T?Nf8<_JfqTKFD@CyX5d1XqUGWsnR@ebILJjTLQ6^Fb{nOBN(;IH
zdXHs3RSuuUy>KU&*d`Kq_x3=S0iA53Jc9&Pw4+voP~Nb)Mm4G3BVDmj(Mo{yy;pCg
zot~;}aH=*dc2@1Jj|3hI_S2Mm`F^}sZEnKnLUAU$#dr|mJoJ``@ZH3s$Zc_U9jBAj
zrB-V1k-GWSJ0n)wZoTim@9?(wcsP>t?o~>kZg;#o+*)^X+L-KjR&kUBB6uH&;GN(v
zJ+ys85LGKJez#8>H<~tXZfC^Cypx8z?T=#m*jX31=dK@VxQqlVd?UY0s86?vF6rx>
z8^X-J^B|Po9u#X;CFB(4@3&n}9F=hBOL!-zZGh)he+*xkGU&-{X!Tav-q5V4WYqVp
zGq<Y>G7bxyQp@)@zEaNql$dxFTm;{1uYfg&i?#piwn}i7;n;vXD5ZPRoH)Ob&-yXB
z^C1m;I`zVCiw^=8Gow%&RB<|=@S8#c-}Tq|0%3!rd(ON!-f-X&9LJx0K2A<u?{7qZ
z8Y-<IBIQBa9@_IgvI34Df0^sB7>bI%#hD|U&B6!$knGNF7kgO+_!U38f3ebV>os@c
z-DydR2l+2bgzd}ss&C;pRDpD9AfTzTR-O)jSBy8+z$A*}V@$ho5K?AQ!t^ZrSrA8-
zzs*;DLm8sF(USKg1S+rJ3#;k->L+OI-(t=36z`1Ll)&DTK9#tc9m^csUj*DeUsu+0
zo8xWFy;HHRXtKN6$-F4;c8r>pEvUWO{>am2xCp&n9!9(4pN!@C+yEO}&Bf?iY45US
z!petur%RIWA4Ut)q$&91{{eXU84&>*_8A?U@lxW~lnb2j89k4Hr~|Xl)wIvZ8@GU=
zH-ZrrW(_+Q{7DiDqf&Sf6tFKn_Fzd?m8Fmcp?7r+49h4{0~`u0{HoMz--t!idOn#G
z$R}}I&c#2?bv^$Pr2qB3R66hgchgoXt_eN@^+|+o9^fEapD7WE6SVfc$Wp&!#ND}=
zl>H-I^W!<uRuIDAET@R4hQ6R+Ge7PEC|ir^YSZOlb<GOPI5vlmx34A3>_yvS@_!de
zITI6?>zDrPgG0A~K|X&Uhc8QU3ei^E`6zr=`(3@#QE!I)Je<sB1Hc$h4p(ce_N%{d
z9qIgxHvb$d=+m;Yj<E#jWkm5{R?6zld84)^-?hvjDF5?6KLi<O5R*^I6#`)3V@Ubt
zC_ba~LY&tZ;y*tDPy;B4zg>?cyN4kEKv(wzbgITdF<Ty)iADNaoyq$EwG7?gQA${t
z>QRKZoA<l6@hF-;8c1LD6H<>)<K5=lE(gi{cZ|0ujaO``BN9q4X|gVV9ZMS0#H_zo
zYy_-WNjcRxHME+Zt+F?jC8>HAQt!Gq+&+~g;N-YA>977C)E6ax*(x|)<G;!kgZ-`s
z+<XNSnS(Z{hOZkr?Niii9e367ddR1p_#WKa95hYop5W=#;oiRB-O?%2yRZ6wgyqjP
zp{=mQ_8GV13)~!GDF2-mt;=r_HfNY$1w!+m$c`}Q)?<V-{P-I84|amFJ4Rn7L-ElY
zKjLq>%7Swvh(On5R?Gcd61V+2e8%=iZnVb@>grgVu-LiMa~O6j_vDQw3EL@txur0S
zuSo+&CmI&{{T~I}x*MtaXtR#;odK|09UYj^!lyxpt6@eyLoh%N?{*H|1tfOy&%DR!
zKzQ^|iN~)vJ*<ux6x>Iv<Nu<i17-2A!C@%4p?(VU^I!%A+>{zo6XlbF9#?yvd&;Du
z0<D-})1Op)_2(RNcn6~quEO;S*UoJz+;&3v2(gY)ACvH_UzqSAG<~^iIWiRA8!Gf!
z;@LuMK@}}A?Bd}EB!+I3?9q=jKJ0s31b|IZM8$Y(pz&Y4X%$uVjy<XfF5qOjNag>Y
z0T^BmI&}7Wf!xd?K)Xn#K8K~zlcJb^5B~QL0ZAc%Z|UMB`9K)&QJB;78g(ZJi&m&y
zEg1z=2A2&|9qq8GiEtq2UH9<ubm}k%^M+{^6qIX%SA(O)V=-E2`#k_;+40zpx_M{1
z*lTbPKssz|_#FWv2Du=gF&``NSh8RWC2z^G7}o?5%8vM;;%%AyuiazD72PdREAp8s
z8Xhk*H{fS}l$LDU+z04JZ}HpFxbl(pgN5xA1e5G88R>x$#fm1&rG?ufIIWlV0z!7T
z@{RYpWU@zaaP)1`5@L^p3X6VL?L>;cMoks8JwF7M$6!DprJs(CPROn=Atu|Q*#OF-
zK#j1~Sh2tDLLX9F*+U?R{{S2S*4?>d;yj&Fr=vIArQ&F7%`jzXCJ(nO4Y32{FUT0g
zL!jBlx~!6<p_b(KU^Z64Y^H21RlB+Tr(G~*Vo)sb1+H3LCN&&Ij^8R4xnP*yWP5yE
z>0OmT0T2XeD}{HDVeB?Yg!(|bKW6M8f6%JJZN8`EfG;<I4ED_oO!=|+rYJ7p@dR$_
zdA>C^R15EGP?M2^Mb76{OxWg%B9PHXiaogVkW`0D#X!-njUHB>A?kr+gJt9KK6XSV
zmFJ&a3@ZRf!Qf$DG9CUyHsl~aC*9%Oyb2*UCWnaI9U*0UzNkf1_-ME$$iQtfQhT<-
z0Oi0AB(6mF81w%jzFc_l#oEtos@3i@ak*68Xe81ilaB_-4nl;d{N;zgvPfX1;^X1=
zqK{wh^ZVW?HhqjNW*QA44h3|M$eK#oFnGvMpbCeC_mQzM5yz^KN@4KJn2$!Y-`CGz
zg@Z?sZ*aU9!~){KfB9Q{y#ZL}!(U(-0Q!p55B4a(xmHb@#G+LhNgdzO|I!1z|G7BG
z{P4<VzP++yKfg)ShXdvo-nXy*?|0{rfIn2LGh+O8)_)wAze_*<@ix&Z>>a|4e?D?>
zUw5%RYOyJgHK7dV7yK75WG0yk?#dGt)*r@p-eYX=H@?T&tA`LrdQ<jcROTp1Umbo!
zXyX|mxXf3JLXs_oMealai25+$ml}c%O$i4f8Bq%-ABJpm0Bci;xC7Xf|1m~y$a(<y
zgXf5h>|Yx5$9kqB0wE*wUP=Gg12jq^;135Ssv19~?5{tQQ2_qhe?9UE)fv;qmS-B|
zTg+gKPO|kwynZe>akBRc9Pb&ffEX&^2^LTNYW0~*?P`QW*Wi2M3nHEm$e;qr0yIkR
z%kBTH{$rY1{>I0Cn@V8j(qKfidd09v#FhBK{y8K79;^G1diWQD>xXpxubvP@&ZUv#
z`HN4><PI3%FXGzQFtfs?cM76KzXl;M1NsRiILsxLLpbCbu~*Sq!?R$qw4YMrN(Y92
zQ0qF*0&RuiuDYH-SG`)w)Mbd^waR7LRCq8sOfUybY@jOtF*OiN0LF#H{%O+d-yi(_
z_##j*D{#9&ZT<Mv)nmjj!B(?>8CJg<#jihsPXH?fKM$x&e}6>O1qJMz3*UGMkRxFr
z`g=vC^ncC-)DLVNJsT77aN;OHf`u+djQY>B3phKZv#pvc#xzh@-~beSzd7W2^=zav
zkjlh<|9&P^E_N_AJl1-ZKa2Kb$bE8PKf6oEdmjID3c%|EYz({e0)IJMKc>(v0Ya5>
z?>4or7D@CbY9vy8Kacga)+csZGDfwVOiTwv6JX{Cij4-5>s}a1e-uSK4OGk*`2bLH
zn}6B3@GSw{B5^d?%3$p?QC8vqY2f7*;4aN(>OD%<;J5nI+bV4rZZyhY+<bl_50G|~
zej!`0{*2)@O1^ptj4c2l#oi4#XJYsYef{#GjoT8%!L-qW7TQV~ITiS-Rc}M?&)SvX
zqOgpVnSXKoI)VYZbF$4wwURS6Wi<I-Gj5`>1RI(MV=Nw45{SIoER(wkm1@52U4gd<
zXINtj(baCEn^)7?e#AAg0vori?Pbh*B?F9d6f*K>1(f*Jsx>}Q^-bSN<nwlhHnjok
zFe!|6xPpcl@ZS8=z{H`VJ7oZQ;||z900&)&)hM6*-hDiZFwyS*)}_2QIQM?wJudTl
zR3Gq0SAe?#%=s$6=~RCuc&W&cw87U&6%2EvXi6FGfR6L&Ti0@`eIjnNM+%qPKzzC-
z!Lt1zaJ&+|FjUaKsW=tsbpb114yYv)Re{+o73PYUe@_2TIjM!oNzGx;FOKW0H>ltM
z=Oi~~;xqWb&#^!?a7PREnp>xCUB{!7YkUO*KDDLF43#v!5o$!gF<`qCx(dYqFK6QS
z9EL*Sf@5iV&%*Kj@Pg)_G5z#G7H9Oc*<JZCje+JhVFb&ZrC~+?lfD@CpqV&D&dk<S
zjr}A}!!bla5)gd$rS6SbkDbqjW<LF#^|%2kNb@#y8CFUf{@gL<_s67C9U<k`GYSy9
zSeB<Jhnt#scYGEx(--vUu9Fy`2NZnP;LCxS$pSs9dGQy?7;zjNWt%%78VNWG)t(tw
zAT-{|d;G2tUcP|0vfO-b6?ot9C8AGKs;K`gh!Lgt2`HoJpF^?Br(zT^FE<5AkH4zd
zejCIL;0N5d8DZS3BK$rZ9v)W|%v}P+1-Rw_>IysKSK<N;cK#Eh;$<NfpT`!+o*zD5
zg0IQLsF!YZZqWQW76+&hm$<0+4g7<>fSgkjWT|29wsc_!j3Mgx9(qF@aZny?8>yJ-
z-=t^u?`|vr+%;f(fa&km5ctaz{qcEudGM8?&h5pk=S2r`)c{2%sHqt%9dw$<HBo?_
z1uZAzKS<aghc0yuxVi~epOXr&&eKl?y-cHvoBz)T7!_dFJDKy5Z3iY8XQ@BXr_7}m
zf3}@Qi318+w^+~A*DWsdz|yKpwg@jopO6+I{yI{?xm%`T1F)>6&RE`+$)qv>3YAB2
z{YCSXhr3#O+8lXSk%#DHQK)OlRd0|4qb3I*dzB)}cdhd5JSO)+FFXsLR815B3jsHB
z(9HB5gi(wFMat9btL97|H9L{qC!;q*QDd*w#9#$gzf}uE6mTJEeTw6NGa=d+Hs`c5
zl~PJqf~OFcPhG;<snQJlAr~{uqK#)d&3DTIH3MUxwKhX&ZwJR*@<5h|R9W+d9WwlI
z?idkGuJj+F{d3Pbr1H*aiHN^GTW4i_kfzYx!>F+N$722w2Bk<iVveC}6^u(t&D%;0
zM~}Miq+8xdv%+d^)8yuTi1=gFaKKV*d;x;kP7Dmih^mAejnZQTW%gEt=Io_B4V69J
z{*P)oXeF}ADHyPg2Mq<l=p+3dh;dCQU^mCqPY#T@CIrw&;satm&uXgkTgCYum$g)z
z5!!xk@(9eznfuiO1^Flec%Wu@PJ*b0k)la?ZFji^e0AXDVS@*;9N<V%7CM5RE`|Nf
zF@0a`x03w5zB%+jz+5$$E&ozdAe{&{i$MA`3NS5!&Fa@T&AZx=A0q%SOaW4KzTy5K
zbG;r2&cwP&5!W9pID`k@SCBnCpo+?M4J?U$eo4unEq+W7^N1d7c>|Ss2Z9c@LW-=o
zIuG8E@dv;knP}_I1~S-z(}$?_FP|LdiXH3;xS$$FgDJxLPW;DDr~)oWr~J^x?>U1h
ztV6+bUz!<B(;*#lKrb1kI{pE_|N7k+aBzB-t4;pnsl1AV9eea45Lmj>A_!oLKipWu
zFmD7t^E+umf8<OIwq3A}5s{*ZFclBQAI$x8u$W+O2h;l(<=}tS0K<Lg_UEntc81Ak
zF&p=l|Feg;z#g8c-(miH4{yQt@RqDwG;rv_9(F%8y=q+Wdt?r<t2y;Ici__h+SOm9
zT7LoCL!(@-KYsTR0TdW>r?mmv1Rg+2h1ATKb30+#6s!#pGgt3BkP)k^O%pA_6NUS}
zK71$Ph7Vj%zRM4+ya^l_B(j=B_Mh2t$mjxqJGdA3rrJ)`IQ6DJjt6S_Q9L;Dujwo<
zuLcD;>1NHJR#-g+4h-jgcsCm*;|`iI;F{-&g42GJLcs4zI!zuT_#$KIFN02L7?f@5
zsou1t-lc#|i-|BD1IX8FAPMi#C+Ds<P81J^qVthWDK1Lbt;%K2winpZb+!ww@g(Um
zANBwh+yOn7e+7GB<B1Oxz0pWX?O=oS#0!mOzzIOT^&I4`t8({q@I3~#)4cFVg*rc3
z`+qDcv;!B#?B$G<lGX>%cR{8tom?o?fQMeLI`n`qEyyLy>$=1<w-e=#nPNzMFqpS|
z*`&gs?HGC?+Se%L`mGTwF<pc|BnLFUd|I=7*Qi5H@rk?S*2Q9|HVG;0Vloscx^;_-
zo1<CpY7@X%eMFT$9;@6>Tz>LUrQk$=0iSdT5X+@1!x;XCUO(5qTHs$svk<@tcC`6w
z|0xXM+)2VZUHsn@S5gC%Yas!&!0oBaPtN_H3keOyaR#LuAcP{U-x3J80-tqpbpt6~
z4+Y1p2Vc(qYHvjMu}6Um4tjER-n^sAwnQ%Es^z}>3AErcPhNw038@=E5wZw86!@bi
zaT&0npeGM|j!yLiAQc=`6nUELxp^PBG^*fW{b(t1rHnWfbuZ42bHjji%Ca)UZjs>5
zhh(D}GzMIt-@BVC0|9*zQ^L7G@6B%muvj0o98?bdY`t*xsyvBVP&+UK8nk`X1xO5j
zQ1bqctFRd;3JjS>8a0gSLIn`<{PoTu5qMl3dC;q8cm5Lzj|Cy8k=#npUF&r(WpHgV
zlL2~G<qY$0&QD_KTysFhNXseg4Kg64#)A4X?5|}uyXP&aw&=4=s(Xld%dVaBY0XLR
zm-u{NUzt=flp}hnA4>JgSqOXJJ-d=%Reihb>%kWt9niv4nm%dBdC&ot>KR6<j7T%f
zA(OfqtyHQdWam5!3os;5*OkKJJgM)2XKqPr<n~9yLK$&JK^NA$4?%6lpzIIcjBzlL
zNmc#wzpj5dxKL0A$3eE{jfg3Awc_9ZyO`eT5r9{?7S`#(Ad(Ny8FavXOgyRw)*cyl
z#`^r9Yy4hJsZ>goSxC<=B5zA+BG7P3B)}*8@}egF${7akm6Uf<BYy%^*1gXN_M9EC
zA3guP5v!trhLM|~<Kiq_2AP0kA^Z`*_7QU!N~wkpVuC4S0&P&xe1FjJYR-M6kjQ#c
z4?lECxZVWb?cD5Svv3yyS@7G3V0m6snKxVw5k%`~b^s}1hR~u`R>hCdKLgCYydhKm
z3#kgTC^_)3ZO%@|B;jHD|1I<zF4Kn<R#Wr3piIRAkO6{??ZbpQL_cY3e#=D;G8AyG
zd+dhjz!GI6A9TC`gCqtiUm<b&-521IN-)Z>n(`jGtDPPafr2AO3fP$rM6is30W$Of
zx;9P?Iqa9<{<3>u8)U#;{YiY``F}z$bg=AA5jyeTC;rDN`ELm2=kh@1fZa9LC*rzy
zHI84OVFYf!mg&dCKlj^TQ;P!^tDY7PlRx(C*Z6=<M5r9_+tj&w6&D(;fQ(}pBvN=g
z{a|?}C2KJ6gL3`xza4vc1Qlb2%rB{Pclzp{0>Sz37l2&``3ODyK_mHhGgW@K&n`EU
zOr0Lz$A3Xf2@w|+gBa5pi|}!I+LtwCoHJj<Y<Ugb(qbW4wR7a}^G?Ii7o{UI5Q*ir
zQka=rq?>em8JUg$ZZunAxZr8;=h*LCcc1fEok@Z-UkVnsVt*GFDE_5f8VezqTWct@
zFVW}&$O@BB&QB#c8k1<%z%E>S?Tv6G=22YmN4LnuH$tbbmG~d&v|aMARc%|>Z+Kmt
z&N-=nJa@4JmyN;#VB5bOEU@!k336c(%GrYTHV&KgtW*aEj^JCm^V6*;Ctit0WN>-Q
z2W#p)yh{2rlk;QG`T`o=9taQ<N>@>G+2raBG<e_}yoAu~=mIZTM6Gvl_>Y{F(KWKn
z2Yx>I03FLqnq-AfxOn<igmfjgkp{&gsfDKJFEJ^MLy?e6W8P<VbxvaFa?g5`p7*to
z<>5&ENln~^;M1>JbcIX3BA0?dy>@kVjl9>)&EAg5&Aok*{X%{nbda(zQ(*Z^Z|g2W
z%zSq{0u=Ni4;+^=m!##ENkQ2^A1Z}~Z9`?{n-kE3VRYyfNCiyQdnBAxtt4|I3ibq~
z{;EKM*{&+o$b+Q`DS85hq<ZH(jso)#nw3ZUbvg)~yEWy#AIE6fT!2ma%;_ZgXDx$J
zC^&}W5>{Pm9--!2Bar)))u%-C|J&DY3<SsI0pua?Un=6qKMU(&+w*;&{qEH(fgD)q
zBP1HM?B4%M+6XWQ!WTyiA{R&LLOrltiHPSJs0Z1c8rfmN@dT(jG&D4G!sg2CL$X<0
zype`Kas-=^J_3v?0B}CI0uNQ;y9dA=^EZ5l!Mg`5Og%wKC5T{cgEGob%F|?^K2Lsr
zv2^Zm&Ouzy4&T<TVs3kW6JS9E+>dqu55{MPm_}L=B2ppOSBhuo+u5$TlnkohLz+D}
z@(Eil-@ude>itVS+@bKEKZg-vTwb`LJFp^HJ34|g%#!1t?(3u&QwJhWoqbbZWFL4h
zB8ou#peM9w=b${JK;e9PC6DKN^Y9s)O^ONWUv?38LUggAm($Eq^=rOl3!vk>j^{D$
zA@IPX+zo@IpKMK3Z2J>vr{bJ~l8hSXU8<mYaMu+E#B&VB<7>x&95R}fRyu@l5+tso
zs2^lyXIJ@KQ1{Ah-C&0`-|Y9{O*BwK=3m4|?FFTE@J&^~MZSruVE4(mCsA*<+;Rf6
zHvR@$GtF&+N>2LI698wU{UnbcD>Pi=xOuPJabB&UumD!y3=&+RF0TW0lV6=i$n%$6
zZo<+a#!^vHiBxor)AThd<%HZID;7y?6C=JAV9>G1+LmiSgTBM|YU5AF1f~$=0vmyg
z(JF`1KYffHh9Wq0V}Rg&2#t8pW1}~<>_PK!aYTOj#fQM_>1HlvNrM5+?t4(KgMPlo
zTdn+5ctWA%>14je25sT-PLbkt=j-o2C=G!e*?qVVt7Y0$ZI_^UBm85FNI|7x1n+cT
za2#>KlLD=`MO3D|^%p1Rt!eA#1Wsr<_{4Ebi=SUI*ig~%l$y&61xlic3#N9d6Dwi_
zpd9eAro80sf>TVc;{3}71D$|~I$3G!>t=6nUnhiJvH0BUc!^*yCr}YL8P*&gw~)rO
zH$^1E!V~Zw6FJYf1cBy>_Q`m+Ra-VEtQ*LzGq^;KW)U4Y^xxobJ?u-PfxeV1kk%x{
zg%iX53`#S^y)yWur-(<b*tP+ivfM2$#=U4M8y`Li!t^ucwaE@eIIi-Vj;FZ&gn&D0
z2*|PKxu$4YU%L&JJ0OxgQuf{hlSc@+g`{Cp%C?w&oy&%FK5>S6HfGYz|E``mXb~~1
z@XyO{DGtSXVAlQYvgfX=l+zfJGEs+eJuzI==eJxIaWa@BiKWk|dMhPdqg3xlMEOa$
zNE%d}TH6L{wyK7^9z9}CFTPKN2p<8bP)eixS%Z339rLYzp?|`pots}38U%m1IE_Uq
z)GS-fPfDkn7LNRyBU+eWf5r0c9n!IZa6Fqim-hPy2RzY|NIOz&>pz<c{x%wf81Rqq
z)E{sJWUyazk&vOipD4jHMI|HM`q1o#LSgQH9F+rEdL=0x>exJ+btzSbdD>$_^{0M!
zptPu6ANzxAu_onK$^}GhX5okou8)mRE7zq;Dx}j2^1%>YiN>w5X$;uZ6^SV{8j@iL
zF$m82&d>jOF7rbh&&~w(QEvkfg~zq;%K`S&Hz%SK+_GO<8wzkmzfONYY9VJ87qJ`7
zvH7)pY;>M&{3d-f%34-$RySIgR!nd>9NqVX(65oFDZAdzMt6<?zqlG*ixe5J@fs4h
z9dY-Xt7Y^A=@ya~k6X&!=fRv^u$toO9M@~%x%c4(=?bg=y5s}zKvmq^vJ0Ks@(8FO
zNxkA{vF|@_3WP;<ho;f<_ZFzXEL>t%A7UlLE*R<-Hj!Fn2qPSxo@a})*?P3x!Ltm6
z>eXRSzdG#~a{?|s^oC1*`?vcpAKolvMaFh|LY&o!Jr=CrMqPLi*@gIVHV}x0-l8~C
z_FZU`df%ow6Vy7zcYblYy}x+We9u3-mEvSbE=9y=Ipt%e!N9*1v?(gZ3O1C1mWHbO
z)qVlrO3)%@O_J$~)*ZVbsWC?Q`;4!@-9`c&p|8`Eqx#UrzN9wUyzXMm#s=qv=NjDt
zr9qrOw7-$m#$QmJsEp507jvFUwhOI*f0PLNbZxS}7jp?T%G~{AgXuztCu@;d`<e|~
z%OZd-bi=FX1DwbCBkFThL>z?`i%p|Arj!kKS#k)_R#b-0b*f=_BcC`lVMl|MgNwg3
z?p5Zlk{Z)CO@!jpJ%W3JL*4h_ZhJq3`!W*&oXg+73(V%QpzQEdLC~+U-bYT?9<2)<
z5TDw$rM@R|YKta>mn(^;AB~AVXQ^iOmW}^eF#fo-Nc3|F_q0UmMqyy8a+HXrtBuM=
zO++O7p->uKd)GmV0F-+-ILz=4WK~}V?I`*&vodokFVZF}zlQ|jX$M+vskPE$u1UK+
zvi(T%D4j9tRqewBe>jW^iBC5ey2Mg7Ola<T5=&_lzd_L*@jtO_O4vE!pg}(py;**?
z)u>3~K2}LSmil~3QNW7_-8xTaqv6{&l^2_4<+7#e(L-ll(d@$7A@tTP@)XI2lqLQ@
zQ3#mR<Lr&P7|KvOzhf>j&vE_zO-dESs1TI5l^??wb883<y+79<Vv;Um)86;udh|s?
zKE=b5jw*WEfn9m`G5yd6;I^A~nnfXr&15$z5aSwXU=_y?DK)Cw6v0N1w{3SMza|uS
zhuc<PMMaGXs?0}YaeHkh)4Hnbh?2e};U9}m0gb{_i~82RVYs*cY1~Lq{$RNDono}l
zbM;n=fWWNBegT?vj4SMsW;E7g$zisueQyhD7Ah@pO~yNWxC14T51+MTK@7T24qHRt
zY(B1(#aV7>e|q1VRY3Fatp&Rr`WjBN#^nh<<;l4DhvC+ZqMk~ZL?`K~9&0R9Vwxyk
zEaE5sN+j#<L7bs6)=0KTBQj1Zio!z}>;_-Lm!+oKr`<j~71VIqSa-fqdoT7+(}6oG
z3c=Q=^L%hnOXbk18B4fDYV$a=I;QFUXm`x|hris&U!td`iBOkT2C*OtvXO?%E{lUF
zA1W?Kvv>U4t@`1nisG2aOiGQ%#B8D4Jl`Z!$1}O|UVk~@-jERzXn`P0tZ6Qv077Ma
zhY1hQ;74vb@vB?L?<Wd9QC>N0-mw_0r17q5e@;{uT8dSj?}+iAk2bcTl$s9@l(P?1
zQG1_WUxG|+#9Ix!=)be0`p<7g37}aLmNH+ADps{M23){woKEyuSy*^92g)?q;>pXd
z;w9j;{ha+v8f<k9#xjmF)1VA_LDMRFZ{X#|)2$bHa>Mz;6N$_BN*8oj{c9`1Bq+Tp
zm~DyEX&5Cf);l)zsojVsKEv@M*<^3)_-nq2qi}rc*sbir_1^~#sIcXU#X4@_eBgd^
zd!&^2s~du|qhq;C`llYq<1hK#DgV?7uu<yDLE@{_GVYX=qKqyx8?q(|5Y1Lq@jq<7
z{jD*_6E(h*C7q?lHET-aKda2fh(IeSo7igqlqbv~yznV*bx26N_6rBd4!9Qpr)*ua
z#L431RZVdM^KhWvUl;6Ox5Ut3QJu{(i%|Kbhx}8xRVdnqth)}=h*@2|y*jndMOFrp
z>RHS9$l6(1Svlst_QYTJ3L-A?KART(X;}5!Z4ZqUeRZ2#IM+a;PI6!XH=PBi7B%%H
zeAdQzSxEKCRF&oc31`Jar%B#&X<m{d=HHL~mKO>r4sIYyW~;G9so4|iipYXYz0RH-
z6zvnHXWpNewm`B;PY>RgedzX0E+Sox$_=v!0b)*%gD?NSj)QaPC#qs6={H|4!62Do
zZ5@USI@2q*Fp0-N*haub2Ox~>K$===a$R{YOK7mgN+HpzF5Rs1f7q7$khHt9ZbnS8
zra@v)2P*6u2yaYZy#K~(u#Ku)`nBHUv?q~YJljZgiC20yx<2zc`|8V1x!#@X35U#o
zCEtKPRErUHFj?!6>fz$xL4JOHodA)RgecVZ^l%eJQ^Lx=Al%VX8$@f*!7V_JQ%I;g
z)(5BVhJ_jNJ2t<VWl@VQRoU1Hv;SebrFbS!Vo{#HcyOMTl?kyKV%<Fbz74|OZuV(b
z@LhH9o_t6a@k&1KtBa~9!*PECmu=MnFir9e<Nw`(eq5=%GT9TmxJhe6HkmguFbvyh
zQM&n|Fv1)1&xi(GNH!|x`fbXPLXJwbcd`F|0oy$UT8{<1_nI7)L)H*BGFSTsqG264
z`-uEqa8<LKt_?z#oJn(5DO6b%M^jnmkkn73oqqq{Bm0g*X}!3`2>lVubfJpOxt;V@
ztjY)H?bz=wr#*a1aBT}9rO2vP=^d7}iQA}L^;9EP)@W1UW!S&RLjj#b{dT=;wOeXt
z2&d6>Wud;CGsTTwL;J)0>OiKfJ7tgs8!&x&vzP)3ovTUBKZ+y&@sh?oREZf5LFDH*
zA#Cb1$Hy)i+r`BWF7R5EdqJ}xVK4=J_^JL^U9qU~gRkTRh~NEJ`4YYm)lnvbN_RiK
zo{)IEq@)D6{G6Pe&6SzG*C9KR<eLD4d36SU{!=Xga&fK2%|k8<t-uow{3m^1L89QE
HuFwAik*67w

literal 0
HcmV?d00001

diff --git a/chapter_stack_and_queue/deque.assets/array_deque_push_first.png b/chapter_stack_and_queue/deque.assets/array_deque_push_first.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe68fbdf86b41e0488013e35b7edd060a62d1d1b
GIT binary patch
literal 70823
zcmeFZRa9JC7B&hM2#^F14k5S&2yQ_VAOv?0?iPZ(2G`*3!QI`1yG!9xxVzs?pAP5T
z?tZxAzWgtLC`RoJs&=it_FQw$PgeO$NeCgnz<mJ)1%)X5ML-4$3Klp74a0+gCq6<E
zXy6IjN=E1tRM8;*7VsZ0Jtbj%ad9YW;20hX78(ue+2c!qA1G+tf4%wfEh5l(PscLQ
zl>dGWa86$%D42h}9tuhYcz*n+3H(03=db5ysnCC)F%|UZ)v!>h&;A^PhJjZ@xe0u9
z2A&YUe^IuAf<pTJ_zN9HgM<f+8%kK<qnthTZW5fcocydW)0Wpl{%KY!v50&N#!FVI
zsX-N<dOFt01*fhm;(*?~X&d?R%C`YI@Wk-Mp3GFB(N8aFN#m}Pdk`pMxFULV8PUVz
z9`2Uy_qR4``MV#Q4je+eHcrU4(4bLK{^Q|cPw^A?9&~biTxGtPoRE;9VV{;*`{4~T
zcdX=Cl(;Oe>qZ_Gi1_V)K2YGPse@aXi6dX+dMkeZ{8>RkK}AI+cJ4!FuN<}MOqt%!
zWMRGSo`{5mKB*Ij!Dszg{=9g2KllH9cuBTwD?}`fsjC;WadS6*4#urCo}iYGjwW^w
zYr<purmJG@b&W{mJ}{o!`Jqk2$2j1>PT|KV1@ZumZHni+3cq!)6?2`hvk7bcSkD+o
zwk<!GI8~$;IKf6n){&=?4VA@R{feI|MmScw7LnmsfB+xNe?HzaL+8^KPBSB{(IE;a
z<V!tZ8ZCKxf(lxLaar1UISn^jVGjqBxTXq}`Jas!FYeagP)F9?BQuKGecp*5N_|Et
z`(LNzgXtB9sue|sM0k~6*D=43Gt?9TE-f)G4u@SE1-iiuTxGK}Nn|12ECFq5O`md}
z&Nb?hL@o3`PLwXu(yK}0a>Xn%Z4RPqKxz59#%4PG^HQk@p$7JS)#60HBHmfx#B{7{
z@T;o2DL-`+m@010j*_@&TA5G(<9uzTC@N~iHd|fBnj}Ah_tzut8psI@;THIzWX;!m
zqk_Cv1n*Q%=n)vD8=T_<TffBSMreL;GWk{9h-l@INB*Bt0mO-qyQm^=j}c=oU)wKn
z5Vsg;#3Z;y;TfCx!dxw(eP~jvKw~<6_H`vLyVM;gS&=x{>rKLc1_cl%krD2wb)St?
z8jY;!xf5WnI>}9GVn2!-Zs-rh&v3kcsVVV+7*gJMX!136Ae&&+c3UjgXvQ__Kf@b{
zb`MLm63%fE2{c{HIQ)d~NCK#nUwKe#zo<E}%7j5>xu3WuovUY`k~NpOH4iZ%fQx%7
zGB^WG3CR94GJsfls|}LqF&fRHd7V?cK9>8rmIW&hlOb@tP`NxSSBlhq<hS+5=#fUb
zl`<n)T^?~Jo~@Crfy3+9|FP&EN41IezHRK(NRZNVd<|Q#mjZW^gO1~i$|`Q~QlVNs
zYo;K`9#}%wy043`Dym6$1)q&($tINOz(A&n|L4d+AcdXys?YW+SHf+EYA3=35hcf%
zh(SxVm@N(t4(y+^Gc%R9M6rHdF=MIyEI}s|4~2}y8I6hjy(C-IiGBhJAR<D?2Qrn=
z$Owl>4I-90f*BnfV`60NH|Pj0Le&v}E9F!NlN*&oT7y!a<vG!E8|c0(cydkK0<Jc%
zhRw3oqIvLD7S?QwBHV$^cl$fvz>Bwh(ePgwj+CPY9f`O%-$06aRk@Wju7ajI$RTwF
z<TkV^&J}cVgD^&P0(4axG&W(4*dBMFShx3L!NV!~q}#CzSIl{{Ydil~VCR_71x=HO
z_0^D63qd{@>Sxe58GN`kj2}Xj`dj^^XhhZG$02aWs=D+i!Vq30p%?F1tyuQVW*1b#
z%mPmTk=L98`O+?FEu9urt%hrWD2@tncYP<9*M&OYgDq|hL&c3pX5w2CFtNtP8`dai
z^-}ZI@2uclV@^hnAT6Kev9)Qf$iG9+qwy18Gh`oQ7gr93nitxY9Xn8CJta>c8yXrW
z7bBZoi;Nl}0y5SOZhIwJ3dQO<DW`2}z|DjK&dAj<`TSm*1@$RjJSfqY?B*!Xvx<Od
zT=D0#wYB{~D`aAUTCy@u8f2J>RQ+|b%*09zwi$L>nWaQ_Y(b$sN{z*a=I@n>A;z~|
z?df5{j+$c$Gg+*mu?{If@Re-wlRYuArb#J+uy)Cvywo(1kFc#OMHI{0nN*fF`uo1+
zya$o*T6rU8djKQIBZmIO--lX9%~SJ!V;3#kqng}T(rUyk42t#HPZOasqc~?;^uNQC
z8X4MZO?W*nRG;`?<0-L2P}(x?cz0526mj@c(<w~PvZvHmS2fS;KQn+FEohcTx-waj
z!@%UUKo&vO+r*I$t)<8@GAdGb5Fxkr?>7i|yU*cfcuFTdMlzo~#ZqLAhwWFz5HQFT
z^I*5_R}zOj!A}VNp9w*MgINO+z#&VEqIkS`o0@`w0p(DPj7q6e=w6Ay)T0e8=27`N
zfl+ayv58vzzsmz3%qNuZJxT&aOkMQu1C640b>H}3r4s)=Ur%9>Lkja%dvXqUroQWq
zW;SCHsq7T<|4J#0pwDY6xvHe@&&bLOQD@#8ll>X$KZ-7fBoqT)&i4W4ThO$;!qLf?
z-+z~6ViYdW=W|SDcOAAMN6e=XdOGmv<>LbZYXf%R<9}6xw-6XocbyQWXMd-IKXq2_
zIS8#KYMIIq>FFa8#5I8mKb9q~+URKW)_Wj<Z76}QI5qWc$rla=;u52=EJD{yt&w!W
zkq)4xsMl=ul+RaiXk3V*QS3B4-c|q-DYM7;a0fNU)8L>{{a8GTo36J{hIn}&ZcjqF
z_SrX-fXo&8;kdia`z4TF9$KCuvj?Upo@0_?tWjj@3Dkn~X6DCpWxIlKWD8X)vDEE}
z$jCCs1yhX@SWFa*D}kaqZwoe?ueZzIppwmcMZkIb8(s2UWfV1Vl>#yDFyE~m^4R{q
zb$&=5NnCb3_m`_V8g=|o89&9Fr;$yjisrK=Q`Xjw>y91n6BCXH@Ot_n_6oGjplQYW
zv}%52^Mi<nBqt#Q9Ql%%nQ{ZB9oM_-%<SwKPL~BKu@s)WXw`39lZC3Ay*N1c7cYUP
zh;uzs7SbQbWV@@h+Y+Phn2SV+I3S)$jG_k2^vHVd!c&;6_(B=zzf*6(Zk?&K+4)`}
zrK}htS%50&ffz%t!DG4BO(q&0OPud&Hh{}wjBmf>an9-~aBRMq$<5XuQQugzS45C(
z(-$#CJ2ccSf)5?k&J;TRse5RM4TLSb=Yxo6+9a;4r>Cc{KMUqZ;(&p^9TlZNsv@SP
z9e}`*_bb9f&z0(Q!4W#6MBGnlxHUf9-w--(rg=p5MWXM}8^@7n^b$+;Abf#RJcj$V
z<^LyQb_qZ<3I*8Qj;9CB4}*v8zQ_mjT)mhhQ|eA;E5H5i790%vqG^+8=74KbHE(3m
zYJ-tej-gWv;ecS9YzZa+oz{z)xoY!8%e=*3d#a<!wZDIWtxEEj4%1r8F7%TPI&Rls
z$3EaGIF>0os9ICA-=|2&A>I@f*KOyes&StV^M5??eTCzBQAT?WUcC1S(X%?Ju~?Ph
zK9j51>>_kC6-`3GpRHAEcD)lKbP)grGJL)VdN7V1fuA8~SS+4Yx&H8S`j1h6wPpD2
zDe9d(pjhiJ7MzfAbadXP8K?7vR+>yf*4E~%hPW^0?NaufkJoyp(MDRZ?Qbp)QsUzS
z#LCV)4N_b%&s4J|k^<@Kx>^0-g?(_#lf8ow@{EHk-NGq4%AG?Dx)e0VY{P8u>J_MD
zdBq4Gw51<7W=7CjCeOjCAAiVDgcioyp%l?SL+S@&d^wnH!4C>zCU~|z;ZTX1PE*i3
z_yU;d`w<~Rf^=8E^nj~$pIG+*fmCX=pHM{slHyiR$-oc8L%CeP@p2_FNA~&Vc<$Kk
z)rk)CXq2M5Kh*tR^<oM03cAVX8DPvPa=Sd-7jssRC(aa&K?{t%%fv=bal3c$WFqqS
zMa1*@K(|p4j`d*bbU0}q=60?oSbc+Ba^)Yflmw#35>cbq2s&Erf>SUV%R;;#eO%Jn
zDXxyQM%mJ73WX}Br-%jqW`qcLp>DVBm^0OQtQ7qM-Y(MZiJ^J^eDXwZp})!}M?#(|
zv=k}~dkFlQXk@O{AcyZjoI#R}LeOWu=FKx8F6V8gQ2Ar~f;_pHRo#Lq>sCX!_8Tu2
zYOOZ3i95}s^VJ(2$0^<_yv~ZO?z3GnktS_63lT=ap}C4FHq9!wB{5%=4R3(O)``e=
zS?N)aiwxg3snuBExBwrHB%irui8(Sk9QFSy#LL~vpBe{eYP6<hlTYNB+z^Ewcf5?e
zwkk8mdc{uT&}l$bPT?4R$uD`OVl%+CHT&y&;4V{G_@29GjF&8|VJ)WZ)q~J+*`f@O
z)8O3oHuL#8#|-9P;qRr^A2S@Ldp*-0YS4`Xzo+{efhPCkkLSwO=YAAlwKT^4403#k
zr8piJ+TcdI@;?_ErTT9E?ukIV5;uBAE{ep~aUVS)gSNok^%*eZl1u?C2;nUpnC-<g
zzClsgXMu%fA0mzlG{UZz(YyQCI2LDJ!(#@-oh)i<&oT`lDL3xIPWOp1=dJLn12JJy
z;ML0thN<lS%K~<*fze+lgj9LW-yN^fHyn-wGi^p^GpU*-h3~c}<`Nc#^T6X(+DOTu
z2OlN6q0yP#h(#u&hmGxy9xL+o1+E1{{h|2GL5^7C<T*3eF~wr#Z)7MfH+$8Dl6k<z
zo^$;$X9_v(*bx!oTylR_@~V6%)}?t|;FV-N^HvbkASH`)MLBvxQ8#@afgA#=-!ouw
zS{$NO!u(0z9yzFdafvSHGtxUn6(R7TpcC5UQU$2;QuG6bh9ryJ`KEco^jfWUABq%b
z#*H@??`X?zR|4tj3a8NeMk=VrZc$?sV+_W&BaH+t5*oxsnd#B#In8zpCC)@Cc*H8b
zvl+DLBnTb0-fY`lV4tSkuff)TbLOJTpWJU)c{oUOeOb;8X3Z4CSN*PiI4##f`%-qH
zvrvr#b?)0tnRm>~Ox9PpuV<@P5_HB$<C%?CUdT=6$<uf`$$IT@MIj`42Xci^&rsi5
z!@5bgr^Ffu@R3mfE1-w)XBNeuW&mXarsNqIBi+fugM2iq$7r^Ks>%=@F|b>S_xA9a
z&{m`n6xc&V<Psk=4bD}(w@~~g<~mjGkd&LkXp@+qR=mtZPO%p!$_=iLt)MUe+^UsL
zwl^DhyqA#NR<PELnb~OTv_K|V8=s(Rp73o!K~2W>ve;lsA|j%}@?)B>b$Ic&h+F=<
zdgF+g`%hU^XA{O!B@c@MqkHuU0uDS3U|b`WWQnh4{^JAdy`+9@9GhmJ1@6!s@`1cs
z#90T_c|R&>gr(RO`HiQ1N-XspH2tb{SBv^X&7oz|PdT3uk(_Ol1%`u)1S+vO4jzY*
zSF$hji#3Wd)fb}G#M&N|vn}q0ryN-ew8zXX^krmPJ)T7{=HZE!6{kJCqIi&)KNF;z
zn}eub#>Q}doiNUFWtdIjYaL86Mk^Zf{1G}(ziCm0Zq+2+TZ|qkQf<bFK%VH9yhz4%
z*63RZb<S#J!l<Su=o~o41$PoXdpp3kxJDqbY1|1L|3!ay=6=ZSezhQ|a&g*;s;xm%
zI`j>9B1R;TT63U)XvBb0=Ks5Q;`4`r3?y9aRSR-iA~2eQKBBwKVz|d|wpxE=H?-oR
zP4J+v-z`JqqD^a=%8_rC#**sR*Q9ZG308^kN5kC<+cUG$Tv#8<ay<^}Ib%6gb>|j!
ztBi71u57p={PyjoBXTKdI-;D2%1K`4PQOZDI!XP9bn~w`pZuJ*Z~lezK(UkYeM#V)
zfHLe$=*m7C<NAKwz`)?)bWC!P$3lbcTs^(O<>Bt)_1W&snDR%U+Xq@<AmE^XvizeH
zhoNvEI%$5mGuJJog2<7wLctZQ#P$(YblOknNN1o-Xe&m#9XC&(2BKnb=zeY$j~`mg
zEZ_6v@l+$rj#Yg?(&`dqF?WZeqmvY-kx;B0_k?|^?s}z{3^`nGkK-b08hF8e<QF^i
zi@v7iVF5bDmZ$k<pDU=v6m7w7(M6oa1z>vQuz{d?!C&}@J^uaBL<XfeANNd`>Woz2
z;Na*l(sw;ry1x5XA>c}0Qc`{na5IGVOVFlK_@M%>0GE`Qi4k#LwX?rB=UeJrSogYu
z+BW*!R9)kPM@7(*(W?%QnGV4yDnTU(Me<vATdFBSw_9nMVDqLcAL11b^Vv1Kg(~P$
z_I-Gh_Z*#!rZ9)SQ8YaqTfZWD-LTQ_HUUPB5*-*L<Fbt2pIijQI>-Z{j6QLq!^JiY
zemD`6L-$?z`E4W}Hl=#OaR=yTdxTzrTj4zgaeKyVtqc;BTM=~55b?*STC}$28(pR}
z%)t5vdgWTvak9drN=w;dacD=n@N;J8&(Vv5h80fvt@BeG!$K`$m;H9RHCx<MZ6bk6
zi6RTcAwx(0Ab^Dbnk+PLC=kX=B7N1Mip-)o#Kv-ip-yW1Wp6CY>4R7XokVe<P}XE8
zI|h`8#j}`9*4vpINUw`I;Z;_lpP(QH=8RP0g-0|@6K?mYucNh434WV6h0Gkr>@iUz
zuwEeHu@;OM@mz0a0EPCs!p%_^AxB9b&@OMPHl*fi!oEk^gS?|D_r?SBWI4ec0!2<%
zMn+7ZT_d*TV-yK6TpW*4H$I`sVwI<Q=Et{!(gM|O(WC_O7q<brs**;g)7c}3rj-C1
zR`Uht%{1TVlcW){4m_7j&#p;LM;B)IcT!@9s=H2WSU9}Xl1;;k2RwMjowZO?j2>J_
z4;tViY`;~Omfdns7_FErRhtXhUg1_$Ao{Z>9iJ(gPu){4uf?t2fy0^d!K3hKUxxSR
zMR_Is=chixzEA7J9#^s!hsA43n8N>RE0Q4;3VB8PZGc?M7ODAs)@16d)xd)DZ(B<d
zKR#`gpHLD(8wK)D?BwrosCozK<{)>b6E6gGco(^CL+n@l;~c9&O!|X~{=BrE%L(7=
zs00S4F~}Y+rLRRFEYDLISIZ+sc}XZP>ZV)>0!grM;;U#jos75F?8Nm##6^<tjl!#2
zR#~#IuFFp(h#VD4F{Z{}Jy?aF#G(8&pVt9j8&A@(r&-?=781_G=)0}h=<x54Wg|aV
z*LGaZlCY++DtV7u(#=L95zpMi-e?sV&9mZ10`FaEI700CNfb)xA}xmv75*b1h#dwW
z<LR!D;zL{a(N@oCM~mB2N4)(s+8stBY^5~lhe`rUTN*TG%2*i*@T&uwN}PQ2#ipu_
z-o$QR2m9j#+3<43SYgNGyW(fN@+A+;3+nv4W-thD(}h1m1wG)Z#P5zXJxK<|d-E`q
zUh5;FcC-J^8Sni(R+r~;d(^e|3ZMO_rXu?Xbjf_3u8>O(fXK!3cj_kcjg=azk(5ki
zM@<roH5|lGX3%-QJ!Ohr1<_U<N;4<9N%z^8%_RN_4?tS<Wh#^4r;4+T#^->mT9oh6
z1K=88n#H-YOmy%5Z<1mThH0rbz40??{Jzo|pO+cx9nXvf&H#Y4*$RVBXQGHYDM>Gy
zx}}0>JAY-d&4v8S`Jw26bZ$O|o|fccZRf@F<gRhMji^Jnjqih}``Zp1a~t^z?elK>
z!Jh3B6ztRcDq*)NUA;t~Q7e8gNuIuIVlrLJx^g;b?8;`iT6u1cWK8bNR<yf|*vWl=
z4mRIN+yHu33#3Dm&<|x6tDn=gCh{=+twVPMaa(aG1YlNz0PLE`Ek*l85vP8I@oT>w
z<T{9~41B}w_yOqLvDc*vrN?uuJKjitHP~}jsWjFbTNhqSv4L~@bg{&}nUj=(<x^BH
zWTYQ_Yem@2d#5mz=iQT!btA*%Jiv90TP-YNLwK0LMg4^`_qJ8>$RHF+jZL}o_AbR<
z?^q*{dq?rI%=iYk@|5LULZmci+WvO=A?6^zPvp1M&K48Xsw(92bv!IX>)k{StLd@8
zc<$qF5;Isd7$*KZG|a%0{C>#y6{p9NltrVS#7^Uz5&~SF>jR)R9EkuCsGd?V`NV`s
zrNJ;VF&()Cn|3>%Z7;)_Acxx6juvY)1Ne7ITYT=FM3|mrZg~Y`7E}JstSyZpm{!3m
zA3UyFZB)St_ih%W{tf^&YQ`yk;DUm8b4y7q4x5l#0AapKF|ekR>{V_xh38%NLN_%u
z^r_#g0xvk9h!@lVy<%B;*(eY`rR036JcQ;n{sO)xh$*+PmsZR(u5|53oj)I`=@-QO
zy8k=ndbH%p=c8%Gsbm0b)D^<_bfqgUY2>IxcmG+wcbt$Oimt*0Nwh@n&RiYm<Gj+Z
zH)PZtAaTh*<?T=E1`_x?Xavo`PY8dPm48!99`@vKq49?#6;06pL7)8f#}XjsX<z)!
zz&+K?l{g?|KJcm)ivQOqwE!@&it-=)<)5?q82|<4=+?TD^}ogdEy@R)PM7*`N#SiW
zfKs|n#wKQ;KKkk4|JVh2H1hw0uv$7yU^7o<Ggtrk@uQ}+_xk(m>P6R^dAmh#-jxsn
zuC`+Qx~!?4fxf;~CTo@`1y_)04BdRCiQ=$Bkw$ZJGbj*~_JvBG7^)vJQ1~g^<P@Ls
z3o#19zc{SYt~WPV8!2kRsIHInRT98>08pnsfchA7<hY+{=)=u!xfas({mp@f>(x5Y
zaag#zy2grsl1pH>SQ$>^7YcntkS?)FoP~OXQMbVu<M=ZC*s^bqS{?V1YuEr#IIyNb
zSf@M1&BuyM>oFQg?_@#%MvKqbx?a}&@8P@!NfVV=Z43gOhx2lq_vvJl%gqq)!<=;>
zZH4XLtjqPOumoL|Za=_!wR*zp;Z{4GKmgX}JL?rt%ngQ;_xc%(blmjk9+|b0$VYf(
zFr50a$}i4zvB_n3x^%TGwE22FUw9E{*s7SVwb#1C5b;>8Cy%b2=RTW0>)N(&M`UB?
zdMA4gFbuf>?2n6wQ8>TlU|UaM190b2fl930&y>jM<^1_!aGG!Rh48{)<FlPEJqcUe
zbAU2aR>}ArykhC0BKJQS0Sg#bv)NPN(h5{6^8m^%iPI)eu~_|G=itD=KzBF%?8)(Z
zUzn$8^gD)3g}d2a7UOaD!<J`zv~3vm`HhGaBh}^_F;L08Zuc=7uF5j1UWUS%zWA1Y
zvQUfGW8zE(gTM9b0ccu(&~#I`Q`FbnTQ;v9#Nt{K7Z)diXijba;f?B89DID}7<=!c
z@__Aeb@Sc8FX_R-ksg7b6H5=63??|)!e2wFtI={ChOYl0<*cWWhU(UPcA_^7bjd=X
zI)?~BK%W{8MR!k5S;+?f1?m8C8}~`%NG(HCs<)-JRU9w2@&wRS;}s;Kw4RfxFV1zZ
za_akjM`NvCU-V#6NqFPgq$)bO7+<!{*64byPDm*=>K424IHfMr>_o1sk%YJb#quxZ
z$oyGlfIZpH&8}mt6{J(QozWu|IhGQal(ehl+)Vv(Xy~%yPXQDm-mGm?KUUYnRygTo
z`o>ck6_xmWttDFg?h2GdjGuS(O_%9RUB7^yt^n%WR8f+ZHFXdUlMmJlYkQzs!2jL?
zUBywg0^IW`jiXtlJO6+4coS^X^4~9qHD{cdhRU^Fk3Ef&5ox$*@*8M5G4LOT3<o+L
zDO(m#d+HI?p$J?~N5tcq{U<56g<wR;0DwYGEdRu>e|ZgxMHdRf4vUERk>0*jBN&JY
z2xj~xX};2V*i0EY9@4X~eiwbob~;?^i3syH)O^)&cXJ^rF1|Nem{2KG_7dxfmOJ}$
zPT%k~POnigM7zAhW@cizj*$0kT(*e#n<U5j>!3A{D?nIn1_}e{1Yq(+AgyqO_$qfi
zS8EXv7MM5V;}4Jo^TbYd(__1No0u(pIMX-L!sRB{HwVpZTd66g)vS=ylR>VbT-Q>?
zlTm2db9qHIJrB6OG_kmzlWfij^ZRA~MztFX2bm9j8}_!QXDnulSqs#umc8T1vRwzR
z**_x)1fg&H=$qd^(5hC|%;DGz5(98eQh{Fyl*^j=570)+4(-a-#T7G9I_*@LLC&Qk
z-BH7j{`|@dUBVADou;?}4f+;r-uy_C5^&iv&!?}K@SX2W9RP{tk=`v8M#IA5C#%~B
z(w7h?@n1w=$RzXEJI&n=)Y&K_^B<T|ucxLe()n{{-yCM#Z)K;{><y<qD~1BN<Pzs{
zxY&}G!IJ4|kEH4b_!9Aw_dojPJej?ql37fmOR;rqKAcbMm?4uoUhLnsBl80EIKjwZ
zvewOMk`3_}3VJ#uQ%K<=@xyL?0OyPwA55eCJh?Mm|IVxA*XqOXyx@%6@+ytSI*S4?
z#2X-dXkdIYfw$X0$;$|lBY0}P<>Wy*Zxc1IU<r0I)%c6m8%w^Y-=XA7ziyf4EpEPd
zJntedtnL3^!(V<jrS$foW;Fz8#IU&C{jpiPy=Nk>CufZeusdLq>hXQH5}ATaVpbIK
zm0q(m<DwZ%p-X-!1(HG}@$3(u&@2FjX*qRqB>FVGeNTN6NZ+J+aMa@QELayn;3UP*
zW5t$+)2vVyl%h)Y0YPLLNTX@_jFXym9c&5nQw{e^Bi8$KGx8MS;D!}hH)q-ab*q|d
zB1VN{dW{(|jlItcP1&RlFW+~POWypBXk?@!o0zg}Zm`-1NXA@<@`FL|FSZD*A+g!I
zu=plN@kX_4417mpnc%uALNqFk2EJTgihSEv_wsN9=V(T!bOV3h!MI}isfLIm@w~-3
zjrhp5#fT4gvS>Y`x3(%)Wb`+*>*X6_vx?cJ)k8h?qP@3n#EB>SKc-%so1@U%ZF<uq
zfOpO8Aj`){+KVn1m2m*>u?C90P)xStQzMcy3lq<3hFb$=8V<h%$UV<7qbPir#PG4a
z9B>d1fyxzMRPaEH@G1)1)$QTVE}#T0!}Z9GZpe>lcIB$yqx~aItXj<%A=8nMG(Y{T
zY9a9^Rc7E$4`FuNRY-t3H-NjP*b7ywSqr<_6c#&!@e+o60jWV#he_Y8VL+T<2TPp5
z07<<}zr13`Tnt?ncaY-z1Q|e!0F6P9`|71tx&FX{%Z1vw&2S(R0|~Ge5qD<|2?mw2
zLJaN##*tI_^vQ>=CaXl$S=shFmLZcd$#HJ`&jh0${(q99s<*KENXecJ=?bC-*%Gcp
zwy_nC7RQOgwHG05@iXQ6xmHMm;+ECG?QYbsT}NrDi5bgw$@+ywuil?Mc5Cu{UCZJW
ztJrl{vF%a!P8Upl#mkk>^6UB^3UQubOE;^R?0ELTq}r=r0*z%L>`?6wHVlc{%uHa7
zu*H8fo-a_dwtxto=0No1l}unAh?C8-zSy6a<h`?wFS%jMku0;(?0o;G!V_l@UL~tb
ze+y`e5_&Q?W=4Zzm(!6}PL_QMv*4`X`6!TBGwhX7s>8e@<Z1X7oci3evWFygt56J6
z6Xq89ur`=}<^}szM5c|@6bLL#GFXgDTlUw+kOS2ikLB6HOa-UjY!~?$xS}zCd;#qb
z%Nm9(Yqp%L7#lbyq+aKHJwG3QKbF#<ITdV9p?BpHq&D?tySk*m+)TFjcPT7|`g$JD
z=_I(uX886yBST&Syi$YU%8r@377RuU``bgo6*0|%BU41bmFS!AkX%lLPXM6!_@*NI
zNl!o_g5LFjz+jp51eIi<#d9EUeY{u!1?!EDci?mDcBA}@ST&Uq{7?h)zGy_>P7h%|
zCfp2pzN29`FTeq_{5?Ypd~82{QO(K=S!j#CrcFSWpx9K<HFd=Q;YGq+WdafhPc#BK
zpIP9-lCgy4<c-a^v|qY;^Bra&&FAJin~TFGmUbLy(=J9(4KQ<`5X%eW?=s(E1~SX8
zd@^J}ob+2E(`QLplR`&l$T{N8Hk_-mU^wnL<A5otmMy+rE&397TV!y;S-uvTyZUvg
zZR$H=M8tW2X7Zk(Q=Us4%L^nfTBE7KNb|+h*O(L!m6Usx;1fEB-if(6N3iut)pq!C
zyBl}?Z8o0;S@Bn?O`@c=d@$+5@YpSfs2fpv$@?C~{Ew~oZZsm*2j9?8oq_b_n}xBB
zWg&XY^evdwR@wb3OU-Go(%H>k+S33=GEEGb)3Y{L7zBU`i5A}?vcNxTV5A3BQ8}f|
z@6j-!H_ATxsPY{fnBJW{x&ok>9j{-hYRMLzI70XqUghvFHy)v4U64KNm7ngQ?Wff=
z%0w1nRV||v=~#BPP(t1}QGpY$(T@Ns$zl{j3z#8TwL5Ec+hI}+z`ap#6B#EzkXRoj
z`4C~*{2Z`8K5%=uDQQQ_P_-OBF@<B{GM|ax;f#-ck=WBu5gsK;N8(=S#Tu9CTDO23
zd)+X*R6su3MPQc*l(3~;@%Oa0j9e$}k~i^o{akzc+u8m2DGi1`Mt&1h#fmTK&HL!c
zmmdno*dKnGaN{YIZdJ20QRObRcnIT61e487m5>SEC)Mo)eqFB}s6S+&x2egS5WCZ^
z;PvoKIzTQXu*bl6HeC=5El-L)36^n9Qj*h3NTJ0-ALJc62v53RXjg!8N~mCo^Oh&R
z)kLpH5cLtg1ys3C3Dc(OORmG;4pW-#%`*!gk|>OqCoHQ8rtJwcFMx#ns1e1Wr^Y|c
z{%<A^03)M#`D46syFEh0W%lcknQ;h27(Wf#W%fud4YcI&Woip02(R%8AJW&fVx|9<
z{*hY{q1?1x59dK^&c`gI+&~fc25;rJzIN4mSvBeKMvX4|`~EnbSXOY9|AF@$%Y6~$
z0w7meq@o5)eZKD4446$rV(5GWbZ^PrPL|yfR{7=rDEjS;{O+aNX4q@W<sKa0rL`cJ
zxRuoG+aT(4oaq;u8X3{#Oo<W=W=Q?@w=?6C$qZ30h_{%UL!%mIsu~Kk2lu`SV9y2q
z0;uyf(=Wa1QF4oWMH<5<@3&*F#oBFUpb<`{e0Ac60JhZ@MB+2VbF&N7`uH@42Dm$}
z4kyBG6cWTPn}ufUz1d0-B$o)y7r?_SA5046{@~$MQ<xI@bXEq<mD_%!YCRKtbu;JW
z5!cV-BOui7=SwK!3_Z9U#;{tNdbTIwILz^in(Hn21;bzT#G0nlrRPoGSJBN(?<~20
zYsJCK*89Xy;`7YuJ%<<uIw2HC6MXps@BL9|IFOQqaQ1=bTub!*{v0_ZdQ0~NGQdu{
zdTBOgBB4f|4;xD)#=l{@H8ZzDFd&yC_=_PHF1}06M%ymo|2x^<#nX|iw!7ci8RE-P
zrO|ZAjw%MU(P92a3Zs{?fk)|GH%atb!ZwlgpfJ>*P$5AHe^ao(IiLscKQ>s<z4S%a
zdM$_~=+cT^Gp!pa_4|df069_$rP%AY_bHQ~jXTNSjXgvD;J!Xq!$3meISA*gg`Z3n
zpaiv=83cI%FzNe=l@bwL0(*e8wRDsMY!91pTVbIwEM2ffCL`1y+hNAQ4dOIMIWz_g
z7oiBY10sNr!)i*+PFk04*W)Wp{HF`;XB2O+)8k=5&UR6x=ne^oI=e_LanB<We(B~%
z#cLW0I0;YOUk$lE$1GLyw1I^v@`Y5Z*_m(fyjnAv$V`<lEw3;rf9Szfs}B`8UgR9Z
z4zMb-Q=Gkd*pTl4K#(59LzDv)Tg+YEFtQ22P2rPOJZ}<a$r+xDaARr>m|lQ~swwy_
zr|~C5-rgf<(*7ohQ7hgQ(@mBQ7t}k-5lJV+6O#JMFI||3Colxri~$@CHUQXO;~E(3
z{ObP(-i3!2^h_}LW2M6hcY)`!7#=_6s<vn6rG8<CQghf!tmjNik0><VuNnj~L2}nT
zFBWa4_qYojFi^?_NhQ2E{`Fez&uw3qhhhaXv}THl`?N0vo^~u^2#WK1&Eme-bT21F
zr|xkeM#_+FWl1a-9%e48^5`^9_KbVQQ|*Df;Gi!#%%c-yRM6yccZ18GytThqe{T$C
z<)TSIY#&S%3GbvOBsmPixfdV#&HIw}o6b>hZus|M=5soL-DvF7$aqR6a-1MPwvd+A
zww_7l3d7XzFF196zp+Fr#2!4C`?b0|Q;w>J{lx;NgJ)|O-EHJAS)s%^dX06r;6Tjk
z7^NE9^chA{dAzU{9cozPFexOOUH)?fmr0pMOy63nCdVs($u<@yHZ-YELyt7a?rJ3k
zhICwEGE{4?0qggBAf5A@m7$Jr)ddO1WrV*6m8-L(oMF*0L|AaXk&I*XUPz2j$?)l+
z%I9p88PHSE;zjW6sF{nGQetf$C2t5;0oOYC`3R10&LZ{*t2cC!?^z-&MG{vV*PWSO
z_90<Kd5zWH0U^1<TJb!jH+5S8<|}|K)cCBQymUW@VS=s&lhRM$tNA#bqV8AXZ-}a<
zv!y*3<s6+1?{M$Q{bc%GFn3lg;cdiwIY0jEHBzGby9otKDvw>}v~s`FuQCJ%JbeO9
z=@r393=zu(Z_|ynRy(Fe-y7)Ce!A$u()eBF+zN}O`KzO?f98u?owXJQzTyu>rh;zk
zbJJI|&)|>*e03x{U*c{BjtnWoQJ9H&PA6`8#ZK&UcOG14gz~h#HO(t^h<&TuKX8Q!
zm2E8&7haxEow5+|#+Ur&;rm`K)65iv@1beCjhJWb{^rYq12XyEoUxAHNSk7|fAPma
zKaWe?*S_7vE7rYJIshci@QN@9xiA+UEO=uv#JmRU%kU5mk$>6gYzyyu(w6h#M_wU(
z4M17cyKe%nuD{63w-yM8cpNvb95t{cq~zj3iH0f^NUqAr#^u_o8M*#UOymQ6IvM5Y
z5l95!==NZgxL9=tr1EDRB@UWMNMJzq!N1y^{%*~MPJW3=Q%R$ZMTf;*a&rMVI(|Gy
zy9*bkBkIbPNp`(9+U@sK*ZzoJ+lybamWW&zABQgdGJ>8VF;|ibwH%ZbfP(}r=JIL;
zXag2eTYk5a-<FM3le4pmB$S#y*vm%PLQ*5PTIEWT!Bwv7lBEAuVFsD>03%0?>t~65
zo8lYJ^9sSHti2c4$?=?5Y7y<F!hn}U{20@|0m7`|X1hQoFhpIoGFzoZe$JlaKhOcF
zFnIq`VYFf!X-!tfBzZef-4&GXuM#>?g&J5_1c!37lY3u=0Myk__*<Vyo7WRq9x{(b
zJKzh(6HyB2cF@t%%>|eQ7;?7S^EP#>Ds+C_3AV<93Cfc&>5&;GM=$mPM;yDEw0n*Q
zGi^4dn&VdH$Aq_bNfO!mH~A+mL@Gq&2<jcKYNLs_%+{O3Ek)hBjR0z!2N-}hA~s6Z
z9RV|HoqF<-Y)L{+0|DFVGT14fTbpbB6HKU^_ec}taPN@Tyi6dUpfVCmpGO=phU1}E
zpIqWQE-~`Mxwie@a@Z-*%ur2m=@=wVfP9Q(S&BBp3lzBTX^(JA2~TWnv)=DnT!j^H
zz4vu;!XUWEpV_=GQH3K61R<LyU$2Y83MD2)%HJ{)mq-lbvo`~r)-F+Yq)zaq>+xM{
z-x9z+Y=~a2MM$o^<TJF;4mw%!v7<9>VC%P_St_G9^t3G!L#3nv5>y$QtjiyA+T%Bw
zl#HRCL=6FlCF!^J8k*G$JPf`XxKO}O#^OgQD2LaVEz2D*P3dwrp%@JMo#+G@hhX<Z
zS?Z0$Ja^5iKC^~=P4|^Z;*4{B|CZ$Ik=189%kx*%unz{O2rAwmOHE}5f<i8TTb%)1
z%A>h0T`+L^OOVLMp*qux`S@h5Pv|SY^S~5;_GE+xN8!AN-ko#fa=!eo6PDFvK_!H`
zY&}3ZJv}0rc=%gT^>_G|hh(gdG;{SXGkI(@E%C=q(-WEYxGfQMXK<8`x%9yx&g`ur
z`REV0QzRaN!sqq-x9n$0a57D9Qx4xFo^+>;<9MV|e=BwaN4p7t8aR>9U*6~am%YP^
zaco~@`94K$r6InxFX_4SOi|;x%1IUc0aVj6VC&+s)jWS@rA3Ui8)?q7ypjm+d$vO<
z1k)=36g{yTIpwG2oQ&{xt%g`h3otxf(h|B!xMm}d=b%~}#t%=J6gTQ4iL-Ecpw{}e
zn@T+Ibaq^iQbc>;_|6VPdoCZMz{p|-yKAaY6pF`&MD+=YC^rb5F+3r|FcBhqD`%$q
ziz*wlbSef%n_+*ZJo_UY%=Qx4biM@j!&d=#E8K}6gJYbm8TJ;zSr}ZIVSG8-5Pe_$
zcLK#HlhjIhQ@zonleQ*I?ULB?gsv`%1GnY-OQAGlHamZ5TXl^5^ZJwBycZs~W9DZ7
z)!g7%O3%_h)sRtak?>3I0=l_2<97d55sllS{H=xFzD0t3-{OP6BKbq*bh)cHeSTH3
zw5Y~vl`xJT>b5tx_FzX#pD2DojTiHV<+TvX+)ZA75$E0Mn1c&{jd?QrfwH~#a$?Yo
z_kO>$3b5hB{qBUvRRT5Iy_h7$n>SVFG9>){{c{LY0B>&}hYkzYACUzG8h(iwj}4#a
z_K<%?5fO*+mqxQ|k>D~o$RkFh-;dq<&H>=uB``$v`UkNCILzQFWE535Xf3j5v_xU3
zXx_ii(H5#as=G}3Ip1fW!<k979k22FiWZfh4uq#uP%asvUr(Q<mMx5#Iba?I8P-%K
zBpN{I9M>i4wnuV!QAlf13c=R;RkP(0D-5%quKJ7KRwp9^J6^C7*bd~<mKBdsEFSMY
zofb762y=OVNUN>*VR^1C?)f6hn~D?FUM!YGpR^q%LXY7IIh9O=L;j$v1Up;jV_L=(
z(rKtRWH_EXgJfYS#jUP_o_{wId~Ilc6wrw!$kH#dJOUn_ehi5h`;=NQmKbl24(8>J
ztp6<Nzo!V*?@{s8of{YV6O~UoS!w{#!WL;Gi;ex$O#By1{D0r|#FhgG|6?}NKmS7)
z(+vHmE(U^JIyWs&ZP0=fH3X-4OePBeZ?pMy3DND<!EB`oVBjsHcc0o(t1t}9kJtlO
zKPtI^UAxG69w1`bfr`duL`nO{y!IC4<k6z2;c_;u6MA=hGE`KG%JlzI#?TIJ_o_Ts
z7uB60zB@h*^|qH@jE3DJZ7<I50ljPv(3chgN%m6K@p>zpzHT$!`z01<!dJJuv+6m^
zzKcb-gZ|sijL=8OnP1$*$=jUQ^!7WQkP)gMs>e9?S^l>teHN&(z5JRRgGr&h_chWy
zj{^tBBW|wrVEo7E{ku%J;o_!BUN!LDvIhP9m6NUd#<kHp(brZpz@!{N8<TAdkRiUj
z)>14^<I+OGI82ZUMUB0MMkfUY%tkHwdtfGn6J4*ja&xZ{d7WGG;=aS2PLV9Xsl|Nv
zXF{Z?JpjYaQgpuo;M7D-0UXcNmBKI>mR454RvS;&uT9QZfXgE0owBw_;dNz{$#{;%
zk_X%@I4@SIg2?<hU=9}V81q|qAMIgfZqj7cH{+YST%pR`=;#%MuOoxbDNI&iy5f_n
zvdrpl^8puSRtgaml8`FEM&bP2@gqsl&Uo%>0U@zVKSP)E-Px40Fd#!>se4PEWX7nk
z1PdQ5H1_=};(w(T!1`^j=G#1Hlj%S_3r%GiwI5&9qfw0PO$7N9mnQWQ2Bi^@6>kCd
zCUNx${D8<dhoXjfIBQZY4wy79Aknm{oL!&T|E*88jDj<PeMljdr`oUZS&Uzo)dHpw
zd6hdymnKDha{><TE-IrKGrCLt+LYfXOjh5xDkMVn_Z6RITj$+F%)!Sm^yoQjog%C$
zs(Yhdk2<j2fSb{xd<TfBF>1ETnmioNWTRuE%CCJiSg&O`xVRD|gId0_E8+=qTS58(
z2_^AXl)kY-wfY+=anrQTEx-&P0NU^R&1AaZ%S2S-eGx>#RGG(|A{WXZ@x-%EC%}}{
zlz}nZ3CN3!)atb_?*O|rCcS!t@kAbg_%KRm0W-VdfH^=faBy${_6y{MPi86D2n_3K
z9&vmR_jgBnf}Ohh`tdISYT}(S3>Ojb_lUgMnxmay4Z0cS(SGSREVuZ((~-05>USzN
zxifVV+lu@N&b7KijmAB9=RK$Po=X0r+g9f5C%g8MX+j3sY-xizKSB`IB4n)Tv66>6
z!^H+8sbse&@(p%d=8BX`S01(AQXQdOHSe4fU=zkjhLDaHlC+Q@v6LXNKov*evW=e5
zoj?lIbrqnW3XF9GDda2AGC?se0rs%zDl<HV8A|G*e@RC{Ev^8ZFNl3~h!5KUq09A`
zMcmak7;QJ^yO1I2?x<|GgdiF+U=EWL$8cdD**S_~sZZQy<0jim?c6fk{#7^|&ucPJ
zL|f~MYCp|`<6HGz)xD=UD(v=Ra3X^(CiddD6`+}u@FV}Yel)79*#Nz=7j$$#@BQVE
zA;3~T6w8nyp1_)gOE0wGu#p6~sB(oP$l*1cc!B)|dsrIIAM5yik>E8I&6gLC*Sk;#
z6qCqvE&zYq3W&hfYT~s=uO!gn9P^S4Nc|}$sh;p}c}6meTE9!{YmlM(9MaohL~XFr
z(grIv0fYnrM2~I^L#Om?D%M$g9@qhJFjs5EfLcu7@cvXfg}Y}RC#K5HwBO0$e9~dY
zLEU_mr&1>LK&sF&-gnhoth%dm$XJHNn_0xBQ=^u=++ko`XI7phY2z$7sc}O0*oY<}
zQJkyMD=)r^`l7fHR$W6TVw<Wl!60#zD&IA_ncr$ay}oO3+Qey+GhZ|;nAsra;wr_;
zRW;_K8`VZOJn&URbJ6_SSYEo(?tc5jLlZ3{7u$EZR!67(Dio(5JMy9&xe>g&ktf<!
zg#C+6)>f|P=bm+OJztJm3Gzp3%OyIpuSA0I*akyPKs*^v;z*0=wj1ekS3I%!bE~|U
zOFw`J2V&i|N*)HG0hwGpUVy&}Jq55dJbD)Zg_H0juQ4$wDjF!znJ&!nv43`E@#zu$
z3}2Zt&)gq+w`1+U7?|tu+Yi-iwoHL*=TK|~NY|Z*eMQoaoxQ%Z2)q(9!VyF(<HHs^
zwtGB^_D5N_=Ftbs!Oohi)+FxP4^cM<TO3&_5@!K0-<zf`PWQzEO!Y?HzV+}L%w3Du
zdM8-FOepN9iY;}Vsz0e}WUTo(hAY@?n{Fwd0x4H9E^91|OLkT}m_45)-E8GZr!9;N
z!>4rbx(zSa2fw)kUy}}x(?Q>EMh+A|R1Hij*Uxjg@!xN_?bfWN;ws{QT?1)~(lCxx
z7>$Y2)q0`&yZIou0Xs8L8g=6VFB-+GHy<v6DN?Vs%#53Olt5TD8%{TdQZ$ksR?gi3
zzvZ!a!DvE%A3vYjYBDfSbG+KLe+S=Jn3BRcbVmeX`Jxa{mIXi;o0$<Er=fA5@%Uge
z`K}=e=e3(0E{o~(ApnT<BQ{>rH%K))p7GhuXcE8;k^E%5F)zGERHsUxqpe-g($M9a
zDBgQ6?=WL9^T3e?{alF=JUP>D>NI7SP|}(%ifk00{IwM9$bbdBF6q7h2vhZB&ljG0
z6DqJ>lDKEqA|Qsgz%LZVdnH(|e+SZ}+A0^f%e6Jkd#xc(yM3`H)E3g`Ncdm8sK0Is
zqd!~$DlVxyuEvPv3r$BZz)pBMPWHbHTy!89E%KGuTBVQD(5|Ucrv%qth2@#jCmpMh
zd@2Dzd>N>LU<NM!B;prie&;OfPaT9&_W^X7sbP6P9cfO%n5y@=zRoCxenD$!s!~u-
zeC~q<No#&UmKw?WF5LupT-e2OHd+wxu3h@{cLnVQQjTbyLHTL?R&t_R2XqRLTEh?C
z;CzadDs!9L%wUNs^p;EK*(O2PzLa-!rR_KzvkJ3Gh6*Gs+?h&}Mc{p#H_2Yv7yALO
za0kBGz>bc%ooU;N=aq%5Zu|@7OaVa)p<?r&UKe3j_MU+m6_ktSe+cY7uy>wNd(AH;
z!i#6)(?1e9KTiOM4qE32<Mtd9R6ilm`ZWzfC|?En-wo~|y8T+1P|$J=^9>OLYc%ks
z0DpZKfWN-(@6TdeOLijDkK1JkzS=LJ;m$8hxm2~^;bn0<$Z=P3KQvlR9+?+cUZIlO
zt~q5Fyj#e+`7M3MIdzfXV8PL}azcD%;QM)T!B#0rmHgW~%IKDR1`9P;eMclGcluq0
zld^r5J?86*?zPa`yZfOz0@c8?!a^PN2aZw?ar2>*`$dYK4FfC$*APtCOZa9G+tjah
zu9-~JqIOk%o=Y~j5qE{SMcT!yox1eBVN*rAY$zT84IvmQFpD8PkibuxRnIGY(mFJq
zN)v$Tb%ewjcq+;l!TYr&1FYJ`S{m2ilR!!8zQNQQU0QF+W;V<Gs_l1IZ#O(zd`)7@
zUncs+cnSD(6VS)i?(JheJ)UtQd}iqk;S!vhU#q(O{RS3k+>>%|bD}te{bapAF(YLA
zL8&N+p-tfM)7*F%Dbbg+pHCdq!qy0*cgEf7%qo~fM%`|X(^}aHEtF+^??15O-S|Fx
z(Ck>t_6*FqOgf$Ke5Z(4c%9i(=sRiaQx#ucbg9M%uFKVLlUpqzqj5**viW-R{WDD|
zQfRKlY9|>c7Us0tVp@LO=wmOD=@XTe6^un7k&;IOLJ$Om$Fw)qm`@xc3LUggq>c$4
zm*tG6|8rNMsoQV5+5ZmqRYXqNcx0-&Rb-QBlU`w^Qweq8)-%)15aq$r5(`+Jhpa$J
zi@)UOhAUK_?B}Q#&tlg7apZphQ%yl)hw#FTlQ&1W6OV#L_u}9I)9k^xXRy$rzOdB0
zL&t62_R~#)gtz`$nMCJ!v)eJGhbAC+6zh%B>g%p6Va>#y*ppa|s$+`psf(af2hF4x
zgGS&g+H-Z*=f2oj-e2!Ejfk!l!{FtN06U=k^^wu>lf$f(%$+;>CCP$LD7R0pZASnG
ztxAR8<WGTpz+3W8`&E0{%tc_v8C7<oXJuUXP|=AgytNl-179;lNE?K2FFR?Z>2AX+
z40aj($;4DvA*<-S*^2QH7tfubceoMV)Px{v_u*~~(*SBC&cs&mox4VCTzk)FTk_ol
z0^2X8k}OwTFP-Un%xJjKIh@d}Fumg-d}`<GK1HS)ZeB(DqE~OwRQnd5lh@fD4Eig3
zT=fFooVz<rNz?PE3m}$y0j<rFfD1zy5CBDfNKcg1e1C0H$9>Yz1jM4QHf+M6IncKP
za3eevyNZcvaJr|bha9(L0GU?{iLLCc+|FxO%p~7CVpGm7RD()#@9XRG-ihcEr6PQ*
zgs^RnCKpWUn1?Gti-sIQynuq0j|pDgx4O&cVfD|Hr3;-RPU~-`7zP)rFbwD`3!*#~
zt9p#oxT3JftH#OWqrhK6Dx>>su`RR#cOL$bsMmKViL+Agn0$WqF%-txs9aTG4N-V3
z@%kjPJZ?n!H`wz4Hf{({0!DgOv==bcGH~T)ew<abc#eRfFPM6@Umod(fJr}yme^v>
zqKg}FIVA><7br8Wm~#a7Mo35=m7GNL`-@TZ*}<7DK;XN-$~>^1moep(70y*Izu7)I
zb;-ATwbgjLQh<MsAWPe!<;@EIVV2TSA7G|{jo_SjaBUk=IGtzPi!L;&v&`B>er_Jw
z<lKj31+J2ywx~6gevO{E2nIYH!vtvUaTz6^lSH@nfRZa%+<1<gk{GO;4_k?M;`&?R
z(OmkL(gV%S53aCK?9askFxDKjISR0JwVrA~zLC_Q5HLcjb4H^4)UKJTbFdC<S{(Z&
z9FaO<N`9wd(ShOh@aT0i%M$<TPjK)9nI~29-1&3K{FLpw2+ElK-g)|x<Uv2!R%GLy
z7bOLDZC;#e_P5_kb*5IX`o@R7H{&9ONy{^dsuiIZ5OY>_aJfP;1P6X-#^gjjKI+Gw
z-Q|9&0<gkFDhzzEt2MiZizc|nMNO1w9VTbhboBR1UsmfhrmuQhowz8xa&qZV^$uH6
zwY%#0@LYFwu+d&;;gFt<JyaNXj>sgB<bzEmGcpBU+=Pu;?0K`GAn0;Ok4s2m(b6)z
zK%YgH?clVD*9}Y&X#2s%x)H+CcazU((O~g~l_dJKXX<T<VP_ByU@$lz%@h@v2KGa<
zCr{zrzt}J?YVmoDe0cHH2Dg0viz1o7=Q8ILOi4KanuUNZ+#6mKfG0FAF2faQ?DR$j
zCJO-~YIwaQ0qaZ@b+ErX-0gOi@MAs)6CmYnH`rtjv9AWjF&U)0y+?X9Ocss$nTHxj
zT%BwaLpRV4Dauq(kGYk{cQ7RO;2eKD99GCWF5x#uwd?)m&%(VMh&Um`y*V-WiGKCq
zzMnfs_<B)Ao<Ahy(jqYT+{t!fFCw6@l6=hBQtEIiM9_7d#C7g=uwezUu?qJtw&;1)
zAil*fw>}z(#?;_~8y2-0*z5P2Rf3%4MS^gsNzB=P!``{v8kWA<I`X&a1lxm~MgV5v
z=e_Po8XYu>jMtZ}k#2UD9B$-xI=6Pf#Fw(Ky<P?fa?kvGNdd-d3dGDO&HybQ3aKC9
z9}r!$*%qCd4BisiSy@`LnjV^qbwt{&2D3#AP>^LR(bRc~2#bH(SnYEJU}-2eLplI#
z(@dgsPlN9Abk41xn<0%f2#p1);3U)5@6{0*%UI7gO|WfTBOg~z6iik0I6PeJ!7qIa
z9vhl(zBaL{n$d|cbxAOkW?DZY*_n73naj!~&^GPCFIOV?t}92w(%67Jl(Xvo!KJ}9
zYE@G!-!=C=FIT9}&)5>PHy^bJ6FDFQU;L`P*j~Qt_}1?)^z8X7%ASN&036ly*5f{k
zuIpGWk{^y>&JD)OIh+Hh&Cint0pa$|xLGR;`g{Oi=A-4(h%lJ^>3d$JMqs1}LV2z!
zKPy_lbaJeXg?`fwzxudkpN7WXlwuobgzW(nFd$829|K0X3`X<UgTP*~VWxb=;?Ht;
z1p6-_a+4n6+{yLVQ?>fHJ{TMws3j7+QhTf3f`cuCNHdY5mpS0(8Qp=r8fK08jLGnU
zE7nd%iIJ)v!Fl5>awqk;Mw`{abhFN^oR5`jeMm(PA{4yb+p8}JI9jIlHwxzUoLE^n
z!fGT>g79v}ZTI0i!%clD4bqi^xn0l9zH+bE>g+7?I*f(p1Iakcjg=hPFpi@^k@jnS
z9|v*M(N|RKw&fOkXfMOd#WorNZ@)lz(KnQ{W)j1VU8td%z$V-ynBJS}x)lRp6aEtg
z`PLT3kLk47?Jn?s3P^1F1Gs~Hd202xx$S40BdfI=$vUfad6kK{6C9Xo%TeN&{|{|{
z9aiPKwGW^$oeCJFpdu)eN=cUzD&2~7O9|2lNHaksRFrN(K)PE{Kt+(0ZUiZj4(U4M
z1(&+N^SjP}XJ72SSbI+19M5=0-1j|nWBP#o8579dR%zLflgb_a*10EuWz(J`#9vpL
z^ApKktPWwGffw=$b%f={E;lL!(zkgec>~s4+&|nBkMj^YRkFG@W5qPmNoW3cZaRfK
zL&y9Auibn*8|8$5>z17ic3>-o;$WhRbgHxIYT+Pvx`#z>{|=r>zKMPMhj?qVegT#T
zsX`uF-c==&V<qn`U9c;{qu8#6$8E=3OyCl4&sSX4Y`Dc+Gq73sRp^8^L*D5KG^?sm
zs<P&rX~yIG4jYT#zpJXqA$lUTo|%I*9gqJ!3q~)IPam0fg4p`(XM5RqwpyZN`vW4=
z)$Lvsn#uV9N}EN!08m$>#@rVDp=lpmo&>$=>oLP0;cj*uU(nC9Uscc5kgf{9@i09z
z`u&>~wxK6M>r)DQy(KP8ZAIdY9*Nfk^fNb(#aVyEdq;scv;ycrs4j`eu^I63-f#7^
zB4^Jp(-JIHcLVVWS5oawgn62WzW&Z-%)&@RgFJ`Zb$Kl8X_fnAi1TFbz0<=+{rUfB
z24Vd008Gv}T4FXu>xnhLvTPQ!(!R7xU>U7%6-J2RqpJ45XOnlF<q{Y6V;0h;bbD9Z
z!SYR7%#6_a{>^daq?Y3+p5K1+H@Nsuz{3W?pUGcH4!`tY{qMg|s0pJ*LLIL?z99QQ
ze-`#!q_}f@$%LC8-Pu2Pbf(m0{lQC>KI62_1Cf&==(tKe{a+NIw5Le(&d)o_sku%_
zO-G~*kvU<#()9<L`KJ_|){eZkUt=BPe_q?4&f`Z|@)ZC7{3~b<C#R+|%#Rk^0_!vn
zZ^}fhH;p(k5p8|*x-rY0|0*&EYl}EU1eC?@v1(=FBaEQSWJZ56z78m;pJvS}b?zKq
zJL5U%21>7qa8dr<-H<!ROcA|2@$i>g?JWi1vMio1KKA=_NhktwPp|i*UFS6la6|pE
za;R-FtR(qmxy;xU>o3$!{1$D(l+i)|#k)*9h78;w;VICiAvzUc)8&h{))JIw5&wO~
z#Lq>b97bYMuaOH6KN6kn{s|qX*aZx<X`2W6zfFSB3T<uKxlp#WrdWJ|$nO}oJI9po
zEiRE-&5LkxYohRf9=;_>F4Pt`Z`-S~ZYI<l;?@^FcZlfBeL5d&za?Y+&x8nh(OGc}
z@E=REH$I4<iHK+Kqa6{&kxblHI!O||5wugQM#}GM48VGlFq=b;z@dBl_N{B}rdRQG
zcsN67bCE|<!$Xq4_KA@uw4eCVKh~=ph-G|{^#Ngy?Mlz@1%6Lj#KqGfKsD}9)$kAH
z`7RkG2VoOZ_b>c8z@J~(5u;LiH?8$QZx?xQ2?ao$%wblzx$?(4|NQd*AdLUFYQlV=
zh+^bK9PRsGvFSgsp`VB>+(+H%T!DWYY`-6B8Z+2EQ)5W$^*`qR=NGs$6kp1tu77le
ze%~6Dv0xWefAx6s|FL+LQ0eS*+Hp^TxB8{I8Aw7Ao3gRW58ja8q7oDoq@nT7H|x$)
zXQwec{nsk}WZ+5JY^oKf1<=1#dZhd-jr^)U?xLknBeN<wpZ<jkGLYRmyi-Cqlr1Ju
zNNF|lKBC<8Vo$C}`N4Y^AFN@nN-Gzm`-ni-f6v55M1*XF?~$Lz$8WTrRQV}y-}4hZ
zk7Gk`R4!$QP{MJ`;J8a7dVRHTWO$i1D^1TmRWH{!HB!4X<D9M8ZQ50?lc{2_srqE|
zK<I~59M;E2#Rmy|w4V6i13vkfN`=K>4GUB-mDzs1TZniSOmaS_PBv{~&n8<Wu}9@D
zO}fVb_L2Tm)?`<p@k2NaPkU^8)65<&aY+j6S{~k0()h-X40z_FURY0tRa2|X!o5Bh
zdkpL)Gx>kEZy%MCog5IRj}i|4V6*hRgIbh|8J?8B{vA3ZTxrk9uQyi0t^gCS+EGEL
zHUCK#!ntd>h2`U4l8lqQz>gEJ`6}mLTeljB<E?Nhg<atzOY2I-y~~3-?xo!K%5PFB
z4EO%Jm9n$O61S?``sj?488<a7$gHi;1sZr=xg@-a5mLe4$7&7dnD1yn>cNT_(u6@*
z;vXXs)ypMfJJyvks%p-iXW#qn!3b9#EcRLCi?8y<|5z>|=J6%Hk{%V()dv?&ke^kx
zXn#B_9f|YCCqTptfycJu<Qn~5K_Z=aBVt-&>mB5(7B@j$OJI8Vxcy~BfeZ?&&J@wl
z{@VCmeN^mv<7{(IKV#`h12m6Jnr+Cz+WbfhD~$fK^1sghvQPE0oIAFb*i}14r7)eF
zq;$EaPesHKO&H03a+$wtaWo2xwT4;Y2j1ru&hCEEga8uw$|!+i$G=O+?-&NGqvLto
zV%wC08?24H;>dzuO202pJwm+*l#<=WPXwT9_;3Q}JqR$)AWgYdXYcS}e*5W8P+|(Z
zs}Zzmq@gM%FKh6JS`5djp~G~RX@!x|p_F~9*X9NQr7F>5zOu5iy*d*S6=k}DpjLok
zjt^*a$Axb^ocHfR_YNUn!^Tg>tY!^$Hgxxm^TLn}jt|@SXamzuSMR85%T!yE%i3&T
zwkEHt`_w>MF4HgT|IwQw#8|^N>U&GdUX)4&t(XB+v*WY7&^`o(BVTj(8#l0j{`&PW
zM(GZ!&-Le<2!!Yk#5?}2Zn{W_{&n0|mHY9@xh_+zKJ9b*_!v(Ynvrx7TDCPr5}{o8
z_1rsqNckSy9@-9ZKsCq)Z1y0^Sf-|?c*WK%hz3?UtdOKerT6|Kv}iNv@IfUoIvlC0
zLsV1#@aO347u=D~&Jhp&B?sWN6|W-FQNZ?xZpU-VYipo}RkTU_%42U6x*<T}9_>_8
z7y?=|%T0~c<m6t>m|p0b4wP7I14Rzu1NVj_np&Et<r8CPj+@|i9k#aoTu?jS5KiVo
zYZnt{Y-k7}d>I_jrpgQ{QB#Sdz4nDDlRk82gQY8?K=BBWwS`yiMIeewl4^qH(=n&s
z)2Vy@Xo|9fH+6KaNqiV!?^oG8pc-^W`(Y60KCtILeeH`fXa_5J55Z-;^K|;pj#L8y
z&_<z~7Rb|(;-An`l^O!XCGxnaUgPe7ijDYgftk)mfxRRY&?>Psvi=e5x_ky(E6`2o
zA~ngGt0oe!S*p)!oaeef0w_aZ1i#X(v4i9{cC+Q7ic0uOchsczb}@8@e#AMlY7|Y?
zLwO#aGc?J5WD&{>6xjQ86iy$y`Wiv(Zvz578^BT#unI%!DHsmu1G18^DwAP)i6i-J
zsE_2`=;4-~60Cl7MHn7K4*gpATt%56!8wlcq7M1OC?n~-foXV{`#n{ApIdYWGY~~H
z4(?Q2!x_ez%Nd6vbc7M;CS!_<B0!uD6cHm1Tu}wqk`Z0X7BwLgs>VX6($(qHlT!rz
z<AgnDFRR%~_a8B58oTsFyttH>Z9lpM&ioaUd;kaM<N2DlfcPYRe!3}#)ABfpJl|_b
zJaTew4u*SZUlM?-9dd6XgCta}$70-6a&?-eAr<=u|1HxkAiE51`Wl=%-yrjq7~r2P
zHz&`NBh<b6dKZdTxkZA&wKsl+J~!7lfac{6Wr7<s*CB7jY@&+=plyC+<%r!zvp1C*
z{Y4r!iOWa3uUtvpnPE&fnK<-rv?y$zu~?V+w-Bj)AN~M!?6-SivS`!+HTpDoO$nlu
za$<}v5#MayCu>r1R^m^v&|6Bb-cyg_TKf*pU|=Vh80}>F?VXd<o03c@%`rWsG`Vsk
zuk7=gXlt!l$tH`0sDAa~sKD;>SU1K)xWUW&XmSu&y)V=43_HZV8?dpH-G!Y%^rok`
zlP^A{blwCs34^>{1uwk#`T4lsM@1jIvyiE~@lRa-buw?%9kd5t&+y5ZG(~=xW3Qv|
z=8xtK;15i6S)bRh^nL+nS^<F1Z%ZY_d8*bbTB9e-w%{i-L=viKU8MGZ?1m2*Z(uB(
z%<lo|eTz5xLl)NL@SgP(li>wGVO=OsnFE@!Qb0W~w5opr$wvO&efhJ{N}{Ws#vH+U
z(h)0gTU|BMApKB1S0t9GdUF#bz}TLSUgS&EUd-Ta=}wzK9P%Hnl!S+<D_5>SYi=JA
zZ8NMVX7ZHlB_L1Ia5@_3Yc~~mzlF41K1v!$&lb}p_91qjQhGiYgxz<b^V3u1;Srno
z=_ey2_z0^1e1tG6XT9q28-R*erDl=(i})bzakfr!N%TkR))cw()BFVdvD^>H_&3fM
z?mK|A-J9cjfkgCr##0}r?DlpxU(ZC|ai6QEkn8VvK?s#Rj0PloAiv~?ODWILd1b%+
zBZXwwp{pEyRt@d-Sf=AP4(|)25$-)TVJPf`ip&kCG4I8z`4|S~iX%N#vo$`OvjPwV
zdfFb~@$bu52=Yxavr|F^-h)8HkP|QYTnd)^Om^x0t|C(<CQp8TyogDt)+3x8;6117
zR#ndNh$imL9B+I3TLySE607pId2Rj)X71Lc?DPXtB^tI%e8WTvqTUl|K10NNh(_3&
zv3>%H8H_Qpc`@CMCW4*k{x6C_@)&sB`LIJ>N|DUU0=nNN(W3#qHRsE{uEeqFe;ob%
zR0?UDw)oL7#62Vy1IJ9G(*y7EY+~l+9HyGfjECaPeg-HCx0<J_t`Qrm#Ai~WV96JF
zCi4yKm^IPx7_#s{Qx*5Ah_Nxf<=0wSY0n7|ifDT_=Hc%z=4Da(^XE^A3r^$U<GhB7
zq2AjqO3}Oh)kjs&UER(Y%D<IwNX=re@W()(pOS{tD|V`tLa52<W6K>Afq)rXhs>fw
zcX5-b8n-D-QKtJIvVs5*$S1DXm5m!3Ro%=x92*j%RA?+$(YTI~>c~0;?57FcqvivJ
z_a6OXv&o}Zcr^%aIQW>z_4B)0caAQDfSik=t>5u9;FNpBYS#hR`Qx@g9({<u3tJDM
z3fdEH9N}`(qYNR*wh!y9T82}CDG*~k`|z4(Mnu)Jy8o}6%9`hHPLYq>g7d%l1r5Wd
zs`c3t!RfRlq5T~@`6Z(yE2$VO8`5jwRc^kJ3;jumI=i|(;!QAWT3hyrkJoaLFOPTa
zlCIN47_5(7U=hXxSO+%#a^T%#y1w{#mmdI3k$4VM#_%#e{_D>p6rME?)OoO06fRxW
z8FTN_NC2<;4C046+^lj^aA9g?*59F8B6FtfV&PK#8u!B~MV=c(=Vo9*Lw~0tQ#sT4
zskv8)@sGS_JXyXZ*=sVJL#VD@;0-Si9MkEBct#F<Q!Ht$>9bF&+V)+5c5c+%1bM>H
zDJ=k7l-OnF6&6TEm}q0(UpZ9$pd!Mha^v6nk`?Mvl_DEu3#@JWj~|Q0;iA<bs|q}-
zym|#SL0#=K5B&CXcmdDPFlE|RSc!`ti(Ua>hZ;l}AnM|UT>^@LIUo2K{Tsv1wE%qO
zfkYsMDZb!M4PBsy10h~=>Is_W?e5wD-Y`%YjMo^F;t{Y<aCE4hHl2N@>p^CN*`Oa0
zDDl+98`*Fl)riBbLDsD7QidJTWln5)XSUa=8YSjVpa!64WN+VA>E`0lB?Nv^)D}_I
zvV&z>&S;I#76ItZr{|*1Oy|fVv^zuMhvWlRA@p)uq+Z_=G3*kB`jH!5m$Y&lt8x;O
zm<}oORP%UwBy|*0dMf=;Y5f1*)gGewPA2ih?S~h>T?chbKs)KOR}<glzkf#b<GUZP
zT&(XJ|Hv-93HvQOF3Afs$n{%xsv&gfhVT*~VROtkc?>jP3At?naGSh8q^~c4i{S_o
zXHq<S%*QL%rXBHs4}rXa2c|uZ?QjI?NdOMcxGTpSkNCI`()m+#M_q{jTI#yFTvWv6
zu0O%~X7S@h@c#KanH8z(m}P>L3!+plxJc!xMJ0LS?j;oF+k*1_<>(Bsv3JB}>y0jI
z{c{pSL_<d>CnpPT`L6tMlG6fU*ObHjEQ|PxBmQexw_uG_=0Bq-ohAzt5<I!$wcgz@
zaJ&>>rq+O>pxHw-R}a?J!M-Jc#>KQjrE==m8y#e=#faG6yQ-V{Z@hn)%mBxpxY~a?
zxmf;h{`&h9Yxo3j?`Z4q_4?1zZ^N=+Xb9;RI9$p9eDVSIe1?rPB8~s|Oc+r}vSTkR
zXw3XyscdLw!6zfSSS){7IRD)TF;WFcyl$HPM=RmaC$aE}mj`yyp>e`G{_p4i=MAOf
zRl5JrX%ar-B1#t$-^CIEI`<5OY*9T^`Cq;^G-Rk`lOO5I)g9)JMX-g$0iMj&c&lZ_
z2b(`hB&eN(oq@jS7DwsHZapZ)^A1{riJkW%Wjv62ft)MAQS5tIT%26=o5|BUm<NGk
zLNpw#XPgI~UEs?>@&@pL%+>yjp|GOUPNO$`4C;gFK;uGME}KKxsWp>8c*ok(avoxQ
z$K`s4i1;yZ`UMYvwu7SASWd+}V#u4<?h+h?m&yQdV&8?}9!hVZ10KZ2Y1Ln3+Da$N
z8y`Oo#tMnWJ*{gGTWui0MiO^J?7)Q|nO*)OYH09`sj50oMv&p?cLk=kgS;Aue>ymR
zC%uj1^1AJ6)y{J3ErO+M9iTqy)-J^$W^_zd*Nr>J4TQkNj;x#u6YBCu*2Z0Tl%K-&
zmk<f610x^QYVW>78;RB${enn*<)#B<jJV4UU*$OA{rd@E7!7>=w;H-$!(Y;QI@wKk
zrbDL&L4{cu`=MFQFYVNUisBtWsj1r4e1kZ;UaQ1Bs%J({K4;bnLFGN0;}sUZNRJTi
z>&9%dzt~?J%OzzhG3SZG;j!#4m)BN3YS*~nfvB-Tc3Eou{o}QTcXj|zGM71_p%irx
zbzDU6Sl0FRNe;hHbn)gGZ=QsW;>xH=fjcgaSTd-;7{CIs*|9F>A_7%aaIsF1Y|^a?
z0omfxttVyDn&9uC!P<tr2p5^%9Idy+KU;FI;ZRt6K5)jA?gMR2vC0Be9F=!-`l44x
zvrIWva|`0K1}f(gy`B3tRlV@EfM1Ki&#H(j0dxkwDkszH0Le=A3U{$Er+@|L0h?EB
zT&<`fgk$Ck5-UU)HOSoqx%F4CqHJWSI5`W!w__R~K(L`l&kuQxd+W~eMv7|=v*5v9
zd-Z+87(J2gIWaj;Y_5SRS5`{uis=)lqem~c?9c5Edo-^&%Vdyn#Sc}T(X##kx-~06
z%ox*s-hBN&_dzWd<hJ!Xb8Uok?mqZH(d@4GE~+dU!_<}3W++P44cV=MoZ9YFkwIc$
z*A0N`-<Xxtj`T0cj|y{=0tGTav4f7qdM&z2{OgX*YIkff<Kvcv;i`Su@17*B!iFrZ
zHPsrXd{E?4j>fv3%lLgKinOw|W+E6X=dpr>5;3M1BGEuf%~fX98<LTD;8<=Pkulg_
zo3kmSYwlJoi5Yb|&~NFFX)tt{YW;9dGU~Z3BtNzJ$i#&l`oV%tG6VY5jaIZbi|TzB
znyTY$IFHZi-}LJp1Qn-hp-*4+D;7W_S9?`^h4)QMbno$J=RhN;8Ps8D@8X3lw7+@E
zf3CexlP~kr+&N)hjVQS<@ZP^0(sbZ;4^;~xwG4xTsh-?;J7(3bZQ%&fEO$B8Uj#oO
z{VfcDSr>1&dLXZc*bW<ePfnk7hf@`==MKM#GTseSX=*|fq=Gh!G2>T$hSeS@DS5wV
z`^42B;^`pO{CLbHE<ZxnNM!?XbOQEQ*kg5Fm&ATC4yeS<NZdhE^hYbf){_f>+cSCP
zWDFIPxF~uAvI-&6O3gG^=`;D}Wr}@o?y#ff$DC*L>w1Z28w?dSNxl}b8`Kg;Jl!M_
z>hGK#swnLkq1c;-b&?IWi@xu@zD-6}cpj%bTx7hmKf2oPh=cEl-OTybr%e!DZo9em
z?s}rZDYG8au@=g~^6AHw0I<F~sY~|JkGT4^dODD86Q+qr;^<ZBVucGwB?MzIOy38&
z=pbhK`zF5=j~v|u^iVB>xV(84C^me&@2|fI=5U;onUiMIRjB6?t}vP<3Us~e5(3Dy
zi_J)J2EZ>lwkJzrP-nxw_z=@ja21efKgV7}?ikwtG~p&S6^Xo@>|`5&$SS8dwPLTu
zKg;H+%w{56OcDN|^Xh<6kYCM}8>9mbv>$aTy@q$@KOY+bxgCJrwdTZGG_kJAd=<y?
zRjIn08KOQHyIY~4R<Jng?Od9xy5ILxm@oB=d^vy;R%d#Cygx>B;bH5I?_9V4?L}ag
zAt+-d5G*Fe+$SFSqTYE`@RdWqY46S3o(S^6SRrEZgq`HcjIrA1Nd=A80i27FrP{!o
zIX35ubsJF$4|<xsP(H(2!*HRK=!Bkw8qs|3vtrjx+ZcQbN`@aEdn@r9nDcEdm=BlN
zKx^9X>}@q~JTf2uffB}!X+I$g@|$N*J=5iVoo%j)!P6mm=`V1K*>-}WtAxe_q;JZN
zPNVbA<;$K@J|O;Nps{btDo;A?DL*<o?~~qS*F6YZQiBu}g=4Y0w9tvS^m_C3#dq5&
zdFnrS;~>Sioo}A^Ydp_=IE$;Am3#E)QIMy$<EiVJfwGkSWG|P>y%hbgmp{r%YY|TB
z;mZ_tnR}7A`DdD2$&Etca2VFSRus|Ty^PP><f{(`1Yoz%6BtmKLJO|U5ZZqvs(xK@
zJhk%~H8ur4)9<wOAU<CPhsP>>YZaufs62IZ3eTXJV>Ca~h|zoIkG2y=j3N3KAXE?3
z$#I?<f1#7Uh55==gTb}8&SFzcX<1A@QQUz>xLm(Gbxabq=h7)5kQk9Ig$(hMLqy0e
zbY>yv$++s-XQa^rEkix8V?yB?y!x*yFqr*8bRiikJv5)#Za|8D_cC@?Tp2p4hOnB5
zz!mVx&(E@>qPA{*7mEkInXhCQNBp)Q^3c8{HQD5|lavtKZ6^pA%CJG*vwM3ipl!N!
zN6pB|NHKV5fcv@aw}R5B3w|H(w77Tv+c}}4fQ{$7;vGsPCuOsx_H3>f3_A5f#0_xp
z4DzvjMh&N1s1q~se9q`JKs^!<b*;eCf+?$@%xqv_ie8$uJztY@<|bAyRE^4+j`znn
zefZ#aLk8LT;Z6>JK!|=~_Y_}w;cY}r><N~O<8w{(nzmF~;a*OE$Im{3B<G&((N+Ee
zG=vhYe^5<SvF~TsptKDY=_94`#4B!oU32{?-bluta_0_&N7B@-K$erffRmXV#RPAb
zN(Ya2U)bdbwyu%=zDEHA;m22anrN|<^QS*QPr{EqZIW#<w_!R^RlJp1(!bYlX3=Ff
zQ==jiH$ryfhM18b2m0J4eJd3DOUphb{)G$k4RW@1b_=_MsyaWNS~gxSIK^u={n&g(
zlzXJ3Oq41G&zd7|sS4teOXnnGcr5r%ZbC-Jd1leJ<Bnugd5z?K36n?~&prZ*Zfx6+
zQTbP~DO6fGpv^`ohN4KhZ%O8tNPt~#j1v&(iC+!ac_`n3Tej8UPV1!^u{qfeS*>~P
z$m!}eTqe8Q+3D5kpC2>1;YVU6NeEr)02x@0=5D1I?Y++CAE(Mf{MmUPjdPT;D`h7p
zjzW%iqRFtnyE#6Kg-1AMJ-n}huEHU@NlbH^Aard#O2D2`3`&_CR&+bcN|guu1S@tp
z<>wC`HuoZ`u0s&L2ugsn&7%C&ghx>xn~l0EIa;OyI`1Ck^J_bOd3mXYt~IvZ9RJiF
z6b#j9<c!E#kt#NY&BPpgckk3Tka7B|u9sbl(6ojPLS`a}M#7ob|8;E2^OjjARz^mz
zJpTS@A1AU3N_Tzz*ZhMsP)A(}?<*nqR}E)zUR-(6L~yT{jAf|gv!T4sa#-^($&p&%
zfP5J*VMuBcWSqK<<Q$`(So=-OLT$xIzQ;<=mpf*=*vf(hP@s!&_$clgDWS>bJe49K
zXvLqO6*~a|k^dS+{|;1fhJioCVgXo#%WCMwU^<yHep7HMxcm-kO94abAzW=TH3QF%
zTx_x}U_W8md{j6##}!1)oI43RXg*BCu0L?L^j<IpNwe|K1;B(ENUK}z6vpp9^DJ?4
zg;crB@GLpO^+nH8E4lNO3^I0CPJeI^Xs)lvPVhgrvWAH`(V~;{4kA+F{n+&ro%=10
zm1E4um7PK1KazUwnsHO4VqfV0xc6%GX>9x^37Fz=355i0<j?MB->w22r0A(c4Z(7#
zUCuPymqAD3(&I1cDxlL=26AH8GnNpwG(C(SeX5{Acte`5;SbRN+y9j+>}2k=>_}Zy
z<=UY=a!1McB{xUA>uk6NZCZVPa4+Pn2=qbL8Tz@gFU>#o(0A-vc21cy>7W<GKQN=}
zd`Cy`X-#*ezF5CK(D`n}>%{#HNPcZ13W`U9Bo$0YDDORqPb%?exvG|j^?-yyzNl2t
z>1+>3R{m|Ie!-(95~5}mHT17C+H4-KbKUT6+DQ>!sf$v7bZ&XxND+N6TEx3T>O2Ky
zkftGH*WN~*Fm;onXYBjOTM)1-VQD{>7G)r*7G>b=J^J*G`sn8?t(_(}?6C?@MceB8
z&_4_G_|^3ESc?&cGsq!+?A~WStK%=z?^Zy8?v}k1ha1u=P!QUr^#{oPctIoUN}mf`
zlz;%!S?LT!Jy;*LE}yB}voe$K80FrKGU)l{(Bg4%sblj_@27p-4kbtMT+NrNhaYkA
zHsWnI>-taf;_c<ooUXAV8|EggydQ{zxbRjr)cw0cr%I?*no>WQrJ$}Bs?jtveA&uZ
z&c;g`v)36o5?@U-;WGkpL<?#bLcbw^=Q9rgTh(NQ{zE7vb{%QMKuUq=>+^^Iv*9Ze
zwGvM$1|epGc|=oPes*-F?t%-mZ&{XFJ~i#9?di-dgZ#3`>eIZm*NsHcqSX`VN4pIL
z^byyttRwkffG2e|9`_J=79{s$xCt1K<&gM1!sxL&@}71D3x})mk4F6=r(99WF-H<y
zKPJ@Rk*3jGJ^22`eV`Ke@XtyE!^BbUJB<-1Y311#r+Iq!h>E(e^zJA}fW|cM9i>!v
zI9sBE$U2sU2mUw)All!-mW5({Ux`u`pvxWR8d#Nhei<7Zi<g+J{s#rqXQ(C%&RcJL
zhR=t7`eKDJ%lNF45)#G%J&fY~3hmXgFf7dQBf(dUI;pZ_{|=t>(?)5aC@bt3zW(3(
zfC!rW1_T&Hd3Tlnsa6~&^;8Z>mvw%y-tKQQ|2wP4h!eJ67!j|&qx{cDm=Qed7N5qi
zAC9{-BLnORFCt#s-~#vYzhAPZ#2z{_TYe?z7WK<TbP-zMdld@xXA`7CeZQ38;`!;5
zvI<;iv^-qd&)Lp9$T+N{H_(YUMTXy}>8YlInLVeg-ue*`5KvnZpytMkjkIrS%9SMG
z6H9m+vrp7t668x$(a_MSXh#gQ%fla@jTd?QcOnrbZ0K#@b9BbMJrk{$*k6$Q{JRdl
zAa0a@>EF%v>89spE#O^#x~Cy7RxONOX}>kPS(ilo_l6b`Ro1KIq<$i7=+;XCM{tfv
z+us!PT!`tkO4Dly{O_nDiA1g3lKwnn<W^I7MGtx`zhV@o<QfxkDdZD`mNUh0d^y`f
z;L9<1Qy27jzXrOJU}~Vj92>ckbK5u4vx_#?UR_=N+`So&h()yDR>8M#JMxdtB2SJ`
z2K|u0nz=dLl@wD0_a1w8CF}N+c+a+K6+GW6Buayaf;<<7YQbu5Ztl&^O-skSdr;k`
zJ&8SsEgzZQE%MhY!1~~5hEAC<qX+W@-al`XBsbXV|M?jOOt&?KY~qvuj(&I!<bPY)
zATWD!F8#@WxBl0?Q6M!^Z>dhgzelTnj^;Z`URp-|!KdY1?lWK3hYGB4X^;Iq<uUjq
zYEgd)#u!nC>dmh}^h-~l-}UBXVq$7zkQzIKLDMAQT6@WrJ^3d(45Ais<>uw>i6hdR
zS6u*_JK8$A@&qVa4gxBymxc3^@ZT$-+QXd%9%)@5B~0bXAt&F13@oCxC|sn%OlSNV
zuBfM{i)yl{-s1GX!n;&iXjwn|udf85wT#yO)UW!o)?adrAj~Em@|PPWcevr{ZBW65
zxi%$<{{v#Nq!sb&@{^6I!T9fv;w3LO@J))FEla`XYz}MX(-V~^e_w?Nn&M7KS*H34
z%53cqlDZ_@VOw2il+eWCp5Y=4vz-q{{yuZq|LD8R-L}^NO{}b{I>44S_i80ko$9&B
zYHRK5hC1wfZGfTQsZA-_(^v+{szgZP<%`bsJo<Y!s^e($*08wJ%lZTaipj2UAkq}q
z66%$o-`-dFx(PzHm6jY{tZ0nQbJf4rkSLn~bR{7{T*u0<@<=@UQV|I<UZ-e!|9x|Z
zg+P#s0OKsP%MJRA!#Fezk(-FuejIIi>Ys{fqEtf3BO8nQ;PPNPTI!z?w%-$yy)eHb
z1)N=Jx0Q7fgQkInUUDu-_@C$Ci&lKcUAT8%f9L^!_qvOSZBJ8dEQj+u!#ujA$N$ee
zpq5K;o-_<KNp@N7h+h&V?<Kfk^i(941l${6yxysQM4}UAs+FgE5=4%SDL>3lbA&gX
zhS>9Q2m5~@L3lT+eWrV?C5}iu5OlaH`|j8klqKBvY<E-;a?QVg2)EILh0A?0bS}Z~
zIS+*S50E=9?%V=IxZxs07=^rIZKbQ?Lk_2e`48r}eWx2)HmVi%Bt_#d@QQScRl9+`
z4Dm87OQNY|s?#sU{ruwGHuWtwN1)?5Px5cF1)i+uwJ738zsSpRX{oW}P;q{RIqXlN
zy!VjS!ab%bIhpptro~Jd8&Q&F#mi(ZWXHhd5sy?3=k;4v+N`_u?yxs_!7>g30!PS`
zcIuaE=&Wa1+1bT33i9#}Z;u7uE@ja_5Wc3e!7cN^<Zlbg##%iUXG8@-ZJFX+%d{9;
zOB##ae~Y`yhG?}hsjZrIb;DDWeYzwjsNtU}V3KHX$Np@M<Vm<2RC;4+;<EizpfX0$
za|~n9X>pMxf%&h)CB*n41vfrh0PN&k()&z1-E&;8aJ%QeUe6=vNE-I(HGP9t?|+<+
z2p8_u>8bmQs`1n#<S0L>?I<3LXt|2o8^eKW!f`?&KPyUX|E>dYbt6~+Mt36u7cq^O
zZ~+F9U9e+bR4?b9G?v5vYr7(ch|qUiq}XSO^2poiwZ>yTRI^HXzE|Z)|8*~LyaXTM
zzo7ql`+g$Ya&p?rVhQAohv*?cB9s7{Nt|BV@(<clG+e~KO_kJ2@b-J#8*)p*WW`-9
z?HnNk4`nGI-l>gbY7e|Xsjl03ILA}uJ_4(Gl9cr)maHMcG;DS>%vWWIZGOAuodI*x
zOzkI9x}>7`iK~6{L^;BS1UA2rXwcGiWosyw8W_;Js2~Pva|=3;mMM3R{9$3^p2GAO
zv=_Lrn%-8L>(H8f%e&e1LWQ2Gh{;4gXQ&{>VWzy_Vy4hzQBm6WLYpnU>n=S3WsGw_
zx0L$ZhqqUkk3i;pi>2{5IPJj1{{#^vX*zt3>F%5@@2^<&_L9|K;buD1IX4i}{@x>r
z<w@}k<<H-6EQ<s?Em{3Jv12=5OH98VR&Y4)Afp8m?U+bv1moC2XY%LmeN;$r{%KMY
zG9Gx8f7oMjWNeYsqLMi1(#y_tlm1it5uvd+9hq+^%y)8f>}H&SLp(xYlDV9jHh<tz
zTtS{IO+P|EVuZ3ot5)s~y`n6+yqmm`{BT~mFh6Z4tjgL_MO)p}c7QeN%(rOw!M7#y
z%_*Y+rSWMxYff`Hb1Y^Lf(IOB&O1BT_TtrN_xB6Xu2t<&y`c@Z9WZ?5<~C86tJ30D
zu@&Pqp1gK0nESis`H}3%y#<Yuk1DGCF%eZuXSE|^e}!C?_qX}1R%);Pv_0GYTvS&F
zeHUwd%+kt_Sa0P6C<HkK9%cFeDy0eGb(*vG?GIXMbap8>#~Vwiy<cuD5Y~BcA%vsA
z&eE+WnW(%NnB``)?SbUQ+bt`zZ`F&>KQ(*u%ycOmD@TLFh2Tx#OsE-eR@UD1r{(k)
zC3`Er^>gJKN~=PynWmW$Uo&HQ>dBOIwo}aZT(U3jx8I*!=H0(t_)h2SHDTrWceO9-
zzxPh7ovCIq%V3P(R2D1^aAV;ph@&~Y;%H<RB3^4J#NEFGOnkh~(=1s#)&+Id(<N4E
zv75RfQSAnv66tPPTcf+nycbHRd&UP=%R$IEe8?qTX}AAL@339ZQI`FM-SNTeF{UK)
zs}DHvuBpCTQtJ+@DzHb<23P#TQ#1<*P|2Zf%T)NpeV&Un=eW_ePe$qvU?#*bAZ{6L
zek=Y*6{3|E)nXUP@%3%GvC{3MiR;y=&TSIk=q-N1ER=}6%UgOrS>aJ8@>!X^s!MAj
z^f*rM7J@YGJZvtv&v1pcd!U)(nZ9}Ch<$bs(QSTTgCq2_?v<tz+skVKOsV?=JW}V~
zjqk+BPqIg@lwa`pb(=BX-FSCxG9SlXQ|Vv~tjG>hO|Rnb^84d5qHj{Y8Tpbmvyf`k
zm8t{?oX$w9=@=mgFDV+)?4hO;9%@yo>zdfEY{E>uKf<eKcUMkLvcFZj<R2}U`GA)+
zhQj^Fx3#-l`9EGtHkfMfwI89c3b0Fcb8A;9zx-p(B>2vq2c=or(c2~IcS?WgiE=&I
z`C6aOH2mXqb<~-CuDP@jw{t6TzQ5e|ha5LwM-E??KDJH&Mhg~88Iot5=}5cr$IEcV
zh)73#Q$I5laL$sr0LAy#P9fynv(3SH;SipkEN>Ja6YpDl7Y*gB@m2%$6O%-*xnKND
z)v`QlJ(QEpt=XOOaLV#Qzd)L9d)fEfr!yqRS%vo>{c2Oj>ArcMJ<HQNZSf$09suW7
zVIe;L;y<S@B1<eu`RL}BU!jfQwgkb-wJQ~2=fs->Zow63mnMg9op;+ve#p#*w-RIa
z4b`h6DJ@s}^Cd&?G4syc;w;ZRvDW}J0aOn>`9i!d>pxFE@fOugz`lt9%nuq#Z=1|_
z_%V44|BVS>dz5ec<2ad8fr~>g=V3A>Xmt#Y_`4nyLlxmD_@q*OfBdE7eN?>#fws{&
zI%x2_Vsek=@Eflca{UX<PxMVb`Mu#s_0Ph5XlgeF;jxpd7f)HZDIWxu<luPA*o*G|
z6I_u?d1iku5o5u*H#ZpSIubfL{U(0EmAJ*MW#>r;4iDadS+QnM|3fx^)8SX1MvO_1
z{kO_xwo*(=*bJJQ`1z=93v6dPCbq#FTxjatM_!r;Aw&({p2>`VH=_}`>RZlTUEN(>
zx0$Y7saNMM-p4J_ptwA`UYY6<w=!1MGdJ*l-)D;?wV5H^;*3ec#=vaC9`6+v!E}os
z<#Xrd<^oFhq6Xip+Gdt$$;E~a(2sRC9?@hUa2ujnma7;q85g=0mn3=KQRaj@U#?5T
zuvyhswR-Xa>IIDq)rfo{{l|ZcR^woXO5-%%n+F!^^{{+$k`*+&o4HN!P1R8P?K9rp
zUwC01uee`?alXpknVKNu?gDRXzB22--uo%v+;|ah-Xvp71#7J9)qn!01yQvr%~$yr
zQ_AYjix(bw-pU&!T^1Z1Dt}*r|CR4osNra}FGuJ>%ySG3j2BDtGdz`W5sRhK{$M(L
zIvL5{CN{d@6F79FCu<%}Pc7+B-!w+9G=U#&=4eGw>9qE^BJ+&<mpN&in7hh+1GaX=
zs?_{;<S{Mflk*vG7X(O)^A%M~3U|7yjC9>h^t>%qsvhYGPFU@rFL)i?GnFKSJvY1{
zTabK+QVy99@SHCWo!Q<}F_t-^$&C1in#-7R9!kyqxfM5sor2N#Civ%XIvcM!F4Xhw
zlf6*x@a<wJIM>I+Ss%m`mG0whyWngyOe4J3ixul!^Q8z=H}K@Z%Xq>K&Rj#1Gc4?)
z%hRP8X?>=gDE_GUBD{4%5`0Ytjst(_OZ4UK=GPsH@QKxz>o0tCoG={01)7tCTas(f
zJ<`+*i;U+A$V{WI9F<6UI1>>XJ=w;*53(B+7YcK?NQJ*`@-Vn<M49eyWTcGGM6WW<
zG&J53AftEuNiuRze?akIs*2=gxaGqN3zv_`>8@P+GZ#7Loj(gP9%M=E(w>5uvHr>)
z%qnMvq)gA5ADd)2Sz>g+Q5k(KVjKJH)+bnYxCEH#sE|(vWo;@$37^i-6_NjON$^XV
zKg6ps#<wc{JR5Nn+|}J-YO<O?Wxd=N)^o*!zk`p1qy+a8q%?#dL$82$TReIV*Z4mz
z0OFC8(~AyNGk@0!ghp}@8s(&_dXr!#iAHLZfRk$TpmdXD^m~2mf1U|hW08<G`<}~d
zdMd(9Vm%OS0AFdeV;cTz<WxlP4TjOI2TlJT9{K&HC#+8r>vnF#f8yPPE0q*QB4oZ9
z^1^>kb&x(ml>m4ru@6rjs>e~)prInIuBAnBFNuQzm9Iec*7{{5&UbeLZG6Rfe~~7{
z>%F}a^6Bv0^VFVO+NG9p6|TX&)Fb#PsiQ}RzWeE39b9;=+oOzF3@s{M&g_ji@^wOH
z%y{J|jd6SP+d3*0_f_&N?kb?~`C?5wLc1q_EcZGo#*bK%^{g668-7<5a-m$vmX9sM
z2*}?10+@IB=_bRGURW@e&0)Y9ZzLt;u1qO0+jMDpd4D#3!&M?b4s5csD`S%~vv(w3
zyx^d*hk^~EI^22CMD{mPsvEepsmT-`?hR>;!R;KxhBf3cG4|z_T(wls%NP;QeX=qY
ztW?Qe9({2b*mN(}a}BF*1Kr?8WDR)tr~3@6MGq9K?8CNa7}qM=CHU!3&D2z@1I(^w
zv65&%tO_NQ(XfwI{=eip)x<{Nq3XFI>X0`T5*#MZoXy^Jc9@_k?RMoC{6+aC5mz+K
zv(xJCQszo8jc3clm}B8v&)??;T_?j3BDpLfCiEP<K^#o~(FN5Ub&XQD_cRJpM1CZw
zJ5@FuLFD3wc#&!knw#o_=DH=UR*8Pzj#wIyh$?{d5hIlqlx)G1%cwRgs@3zSrl&b)
z5o%MQ8fDE@Y%Vt8E*vgv?fPI`tCQkOwqr!8cVxC|7gS|wNH7Vo%yE3A!v5RPrd5aG
zxeH;F9Jj2bR6p3RQive2O|em8IxsLy4LpGuwUz9)!@Q#g85qeIr*`U)szCJ+PJFBG
zPWbNwQbmJ#CQ0eK9cDpg@t&Qz+dm{P{7za#ULv`_q+-Tl!Sbaa{56S9H}|A9@#Q{s
zt#?U=a;8#Cfuq)IW2O~sRe2IR*l&|uUaT>9fKiK3gJH@i_jRisE)?=x3Ad+9%gP=B
zkm5P}#k)h}<KxiuI;N}~CR#m&epy)<U@WG#u0i|jLHR3XF1x$AZNVSHpAl0778%x%
zMJ=}uksmH5d7Lb&FC{fOE1WhsI7HKMqWi~P)zUOZUa>6}lqG%Z<<$qr?x?6tP7>Ag
z!gL`_RHkv_bsMTH>0;X2ofPcv&nqNjl6X!{tDzGSx>Cjl(3NVgV3JwicjWGS+gVF(
z#&KH4i^^;N3~#9VHjB_$v?LSorh9ynUdm995TjIfM-{-$6*`*gMY!^gKfx7!<%$0x
z;JV%FWz>>Fg5^SvfQQEz1ukx#FzPv5IG*Hg?ec8BV-JyahOR2V?=fTLl1!~&PFQ|K
zNIeNnm3e|l@;d6V)53ecr6<`$bw{w%haW|XJ^vtwmd)ytyFj_@BUs;alIi-dtWbEY
zC_+UvA2z-EtwWR-ZXnpLb?jXkv=^PoMnuN!JNxfAxqM_YH}uZPKi49L{2$^OCY^JK
za52AgV6p6+%C=nHxEli`Bttf5bIU@mlv^IuKX8#moXy()aA4|)IDFSKmUQ#<Ho9z~
zXTsaM%9j=A^13M1B-mx$U}(Mmq0teNyxcm)t{6pvvBHbYbgXi-9osJ-zQubdM1h*H
z5#FAG)7p5&fu9p8ga^WN{`JY<{#~RADY-<Y2PYl6uS*QDL~N5e0ImxD32H(}b8fOP
z==VS-eOmZfyo>|kMmeITWn>_k7jm2*eE9;f!$v2_nA6hI7E83$)i;|lFC1@k+QGy_
zWTG2%3lgIoI<HUSPF)y@jN#xvOcw}IaEF&XFO$HTmTqG0!f@MTKkjE_W}Y~40*By&
zIiQJj0NdoaKHIkf6y(CF7Exv8uD#vuIR0-xLqkJjV<}$j4DYR#e*XOVh2UB*a2&4(
zlvoZq140r=g<qq&8<V~W0Tz1=5Sl9>;b9BYpG*u5dv~h+8D2dag^tJt4#O|V5vsYB
z$q%q9<~O-14j(I2Yj=4LtF^@b)zA$}m5Z4a92MUAP5^(LST8{wBB`LTo?~o#0VWFo
zda6%1y&l2-geVA|E0a%>zFmcU7bdjn+`an{P!JCDgZy76Vc?VmR?^NHRxJq4C2;zr
zyZ%q{w-pzj%5%>*8Sqs6MMsiD<f*3{{qWY@0V4<H(UzCya&o7{u+i2I4i1)<IoK*H
zD&k&`n8jrSH{~daVayRR_79knQ3l=OmiF2dV708o4DT32n+-aXn=`um)7kFoHv|Df
ze6s_ad4Ebmn3{D?`!%AQ=Kp>rjARC}7`I~+Rk)9XM4(LAKl)jJHX$fwDK&`YuJ)f?
zQw;@pLczJBj<nrW;a&e>W=6}Q@?wj@1gyPp7=qQlW*2}C<Woc|H$xq@n9O_>aNrx$
znYqZkPWlsip>v>c@e0Oqm6w;#4^`~%tyf*Wd^vB;0u>J<JsOh~hUPgtN<J6JF%c=i
z1&x{VaFY??vSXlV$udamIkVd)fsU3-0Q>9hEiw&JZ|O02;Xw9O2h{t4wfVsenTlA4
ziLQzB4%t`x)C)3QReN3JI`KD3i7*XQSKlq(WH>_ODM(%3a-666hI*QAV!`CFX3WK4
zQ45PX=)B69hbv{VJ^F~pFbFtVp5@uX6D5Qo+xCepUmtOy07`Okcdu+lR1QHQ8JS>;
zM?&8#OE($}`;C@-<}o_d>q{@S*z(+qLxhmkl8hO%l;%z-qk9=2=kd*R<@oXmg6DbL
zei_jjs%PGBHFq2Na)ceH#3mCiOpEkjh-1*x|MrgS<Yed-JH0NLQyCl_eDjCu`!~o~
z0Awr#fV(6~;(+cFgU8KV5&?a^e7nf7ukyoRHUUp{dexr8zo!Uo{jMdemJW4^syf(U
zJ<Ch}oS=~XuSdHPSI{erBsjQ|M`oT<q1bPXbP5?f+tSXr|J?mvQ=oYEZf}Z-hIIcM
z@2hS*9d#x1L*yh$ek=?y#ntN*05bf22LOOamHGjf4KoTVl#$UCtP`iB%xf%$D|aa!
z2ZO@GCiMBg)a~#55RNSrGdg{>?dN%`clpYhDmO~pV0A9l-JPsqCI<aXzrL5|9DQrD
zUVMuS?(5e=J_Tt2Pp4dJ#_>85S*7-Ms)<tlLbuZoD%pH>ylGXsM0UICxm7Y5HKCs;
zmo=3Dl>8hCAG!S0Os~J9o28j|Z@_l!_6we)Bu^l|T%Bq4m@$Kx^ef2&?`F9w06M($
z{rUVnZ?J)U>GEY;Az-RSR5&is`^M3`#)?79v8k!);UpKM8_?x|YlRDAO5=C400#Tq
zOh#?si|v3JP(yeuNDzqJ{rf9^rNq_Yve)VU80ZOXF6*x3ijVgM?k8;!KGar*mL=iK
zW0q)UWdKbP_No?JEk}gJ3Fh{xf0Q4|Dq>cVxV938kB7}OPrPaPhP_UDcX)p{-p)S%
zcA@d6jc27_#~tTxbrWp>vX}G&jL*LepMtN|v^CtBHa7Ep@6rS5dPAlK1Zqzs9&3L+
zI_CI=sL~;a^QClAO`4W(eeUz5iaP>qP$fptg@+${tp-+k^(Wuu_VV1N{=1L(abc_6
zFd1BxUTv!9<|NoAq2+LIt?0BeRAex}+Fp%!ZI%4dGh&hTM0Xqaj`=OmWTDq|)jlFX
z$@>a(z*Z4z6+m}DFF&K$3cUzuR{sys+wY#dMgoHe-&~Sj1tCrQSBuv{ge`*-#>liZ
z?6spG$(`<35jlp8LSAFH_A<zSIiC{PSK5>S0DcqAiScnN&uc)u1f|UwQ}LSRS@17?
z|GU5#^i-*O!kGQ5ha{(TT3jbjvl73)_>4IKy1&U7f*-FLh^%Qaze0b7pJS;gnzq##
z?pVsrN;K~yqx2#TkGf|v3u}Ab7rZpg_FE#Wez*zP(0CYw^UW=Z2bsXU{8qR=-M#+%
zM;&*ZE1ur`CXE%2@%-Xg+k>S$02!W`nCMd(lris+uHl71Z{wBjb9wYlscN$kMe;Bf
zB5NFMQ$5Ef?{|dQRcO9b4-8)fm26b$%6(JHuM=V<(m-W-)s6&^GG(cktlDxFIT>P#
z6tH(dE0z#jyiy0c@xr@56|BmC(p!=yN=ZrKrQA_cf)ykAfK6l+f&Zwo-bSQX5v=kh
zBa&P6zQqkyTV1)m3ELnCyRG$RR?DdQc@5Xn70*7>**WjRY{zulQEzZhf17BnTB!Ew
zX1cUBYC?HbRC?5e@<fy=&I?6>g)cT=n`3J5zgw?Gm6h~S$UH16Dhj>zx=9=`SAFJ{
zbg?pqq&H@;(}3*8%(M4xy>cCRAb0j*;}JPh7!4qkEtb2mL7ZAfGmo=gG#E5fjRC>&
zhX6&t-HAJLac2bQg3zPu<ZXc(4wH~z8&F8iHRb=L5-eH`^Akh8(j8Qz@OJ$z2!(kG
zO9&rN{2UR+nlQ3poV&^4%Uo;KC!!>m=k%Ck^!OBkm4+lkWmdYojYrYhuk`~JCzmg^
z=pziY?@Eu;aMEBFLn-i@V!tB%TfkvkXR|u4*>1ih`U?B@TZvtI;ewmn`@2>9>p<yh
zH_+GD$GSE-owBpz+LH20z~0O=y2KA-=XEBt%p#E326*LsE%bLk5n<T=Hxg%au&aKk
z@2>yi9V$4<#bs}udr-U4-HYVqG5N)-o=+BRQJM`Uiyict%_FSdn^(o|JWVbqvu9oB
zFB!Z=N3G?b3w!zU!libief52q(`{2nS!a3&cLZSZww-CWznysUf^QUen#2YfbBDKM
zyIiPldi`DvZjnuzV(i0qDS)qYwMQ4m;r$RGC|jQTcwA3@(HVThb?IF};=ypNH5>-~
zWjfC>Jz{P&ksliKV^RSrk<h%pIuOT|_c>A25H<vfCxy;L7<!W4w;l`@oOd{F+wB?{
z8>7u7PQAxV*yXE@awR)53|Lz6(aOb-C$`rYfOjb9;@ww=P&&y-Nt+|t$ACz>Qle*9
z`{Lr)pteaB+O?&A*O<lbuO*kQy`E4gBRc@igMGkz;zZ5aak7awy^*8XXnJ1x$(KN)
z3n4XS4T}pS1eF%$LD6h~MgaPy02Rz}&_+TJ=Pr2%8lN@y#ZUGxPEcpaBc@t(StxSJ
zqB!+H_gk$AX>+op>mn-*6Mg&wi#$>|GS=g~PwrK9uq9j(&rk6#lk3ZAt?%u3#keaP
z9c6Z%Uz+aG)CmdiEPi^d3>zE=(4I~foZ0{xVQSFcQeDiYK65l40+s8;=n@I#&DjX$
zx>y=Hq5;phx;^SYV2q+GjG@OnagFnQ82$A2!0=u;X}{!Pj8&!6=JJG4%vDVlkGp)C
z1xvB?gD$@SNlKJJ@7$y;wV^<N(cv1x3{M*dhiSLN{X=iND5dG2Hn%=4o9VY?HVuLn
zE}<RgS?v#9$}B|CKdP<8?0&u&{qwmXUJ8WOTIhR0SnIp)jvF;=Z|5Q`)CJr=|DxP>
zNbr?dB_FELzWAijY&%1ZBDB$Ml6ue}kiS--{z}8+TX_4na>$TGt7W_&1+iz}`W>5$
zWYX-55((OaeVbvlA^RQ0(+OtkxL2>{gGj~=w6%wT>2QWw&C{U9)_-(w-m!{_m9=uI
z_PkZu_hYuRDMlv~t(tFi8|#<+OoVXqixs(T=$X~NDA~v@2(@dMAwGBCozcB^6$iha
zN%<)Y6e9Aub(dAp)N*>08Bsy=?Ft@QA1aM|(ZW6rWSBg{`=Q6^pAc>^hv$`DPNF94
zL7UB(HS>R!czCv2!CuZ@+BQI)x1!j5hPh|w45JPM=FLa*2|B-qn6lxWN#3=`hVm}P
z_FO^jz%~aJBX63d>$rqNVurTSryKqE*FE-2`L8bX$(|T1E-pqmmv~oJ^lx$S?`%JF
zH9EzEZ_Pwpx*-HyVRUTW^YgxnKQ0<hQ`rQ~zl#HWLq*4}Uu*@Nb;5h>DQYbi0cupc
z+r#_c0^8JefAT>iox+49<GY{8Wjv^tVJM`ZHs^gNHz&Ip6OtdTFD@sRV1p)qgE?=a
zQ4HBRIkn<#?GM@#46D~o@0aRlb7;Ov>D>RWp>kX0UE#*u8>=wY2wp>x2{{H4tzVE$
zX%!ga(c^v>`1El+fs=nIAS7SS_Z{#;{Ye<2&yaw~SMx0b!5Wmobb@<O=w3Jp$;Vyb
zE40-D9s|_TQz{+R&K})Eq@JjSJm7W6c^z%aY8G0mA!(*jr51#LJ`9+yHBsT)->&wx
zV4m##0dRUMZ+}(0H*6PCUqAt!bf#R+uKRjYK2a|a3C3*406twPc=q<tTs5R!b$2@!
z9wDtng~IfFXbX^xoP-FBFWx{EUxB<gtb;n0*ayq^x<}C#je9{y!N6qEkWyu8(L1i&
z$1Zl+*fyM=KBK-3uOnV9v-E1sV<ff#qR=A57~(<Hly9&5KXqzsZ0xgkY3A;cjb!_v
z^KE7*c4|h!eVL@<>Dkq%dTTkxJnM-e>hVoPS~L=Yv%^(Y5|VEr_GH#JCgsAhd=D18
z;kkt<GQh+ic0Uz{)6XJHYk!`&=GxTP3Bq6TLT&<EQEI%rJW(<+X-yec^83pSBiY<^
z_X1(}Y?6zjAj5n?N|s;j$wU<_R~T?3l<DNbch=R5nw`y;^(=1PmY%Un>0+Qj_ihB_
z(UzG#C+RmzV#d+6Sq*A_NYBB+L0FGykX4x7t~yO5XJq;d{Ke)|-5oDk6Qcz#6KRBJ
z``D1EUR0C+O`j$UO)}`|J`R7=0!*iG;<5aGI;Xi^g8OP^g)$<$dMK0yN2+}*znHLa
zxhS``x7_Evxn6MOVz+q`2ARSrsKDm{EF9@w0lYdnjo<BPOe=|Bcm3Br@lhU+oz3)}
zGFqxr6cHU6H=uKS7WG(Rlg~84SY36tX-S^MfA>3q$5fNaKFdWDdCy-++MLjNIu3^3
zo$9tx$qNqa$m45^esN`Y;;P5btVvEe&6|C$uHlTFmbg>o$z@T}rw&_`RPWHO)uLzp
zBp;WaSO3GG!#xkNQ{L;a-_?vV8n_Tgr3~!D7BVdvd|DH2_52Xak`M)vT@0RL^Y8L6
zRRAQ1Nw~V&hb6QcT5Qvi$XFi!|781FG@w$ic~HxMbox0x)v3YzhGzf$J1Z5GH@u`?
zo`BEbhh0*HobMQe9P8o1Xa%q-jiRQ8v7YOqKZ+(Oi)VhDb9QW+iwp~Y|Hgdf$<X-#
zN3x!-E}!&kQKSG~5joPakRlfY^^2rYPk}#po%^TZ4#dCTF@nu10r%M~`!Xb3?Mm%c
z*@AvG8FQIBThpH#q8qF@SF5NA3DD1ueaq9ob^WBc!SBjC<`F{zUF(w2C-Qh)(O8k~
z*fo=1*GN_?DqPp!72EyDjZr{dbuOKA`xZ1tJs&7=8k0vNa>VgxJKgM1+L41&22{K;
z#w3d9vOZiR1dm~j(p<N6GwB<k)O2w6_*@h)eO&2LS8JwA@myD__V9S}cz=2SC(S7-
z^u1SD<YmD4ob-K-{a?xG9a5!QKi9n>N=1&I%#QidHn*HTOy$|3)S+oyG^kwJm~{6A
zH6adqd3kwM?=-m=?&EL~2#TOm+1h_HoBR67>>KKU)3D~pX2CdYqU!~bLhg`;qY3Rc
z<GR#tZT&N|v&ah}L}M;E9lg;RU`)F1a#l`YS`$4Q1PkzbOGYg%U{zWf3zc8IyI{Uc
z+4**lB5PA8NWbS1qr_ox73$1vRXSJ<bUxo~S6IqBGACa!VY67*)g(UO4k(FW80qC6
zrzeEkGQEfr$-$d3OflZu7?1DGc*?`NW!>ewcKe{ig7BvmTT@z#GZUIWyFz_6a9iDP
z0o$@)$?021V|QrxFuTn>k&}XMH$!DzW*c`rKwg_oE+ZyYiAT6Mr1`eAWNjo!)mz{c
z`8SKQg^Y$n%kWb|B{@I0o%<rb8oXscH;$g^EnF!jUzPFZjR<4yFS^<ro)M7-C|3E-
zsGc%0svUGmsD+c>Wc*tK|FK+o=IiM)Gpr^Ad?rIV_AzVb$31>b-#94FRFk4{QAwN-
z2tD-S#b;QQ{;rEdP)ZwN*(Yo;k(0~2u<hKqw>;fnIajb%+IT(jR(BcAKyvB^?$BJW
zz^s{nK>&H_Gg>eAEX~rEVL3F=sbSQD657ollLLhzz2Nag+!`(nSges|xW(Z6rS1@q
zCK2b!^-!$9pLk&_$eRO5vbYKPsiqdq!nLw|@tb#s*H~B26Tf=ReMeJu{mZP}x<}sY
z@{$$}o#OYSaaPmudt47b#ka8V<>!U5aQJ8X7J1xj32%trqCX;FNZCWvlXR2%I>HD8
ziJp?LK{^nZ32%HLa3!NNPeEIMlz)GW6-7i>{rzj~?I5TN#>ZW33p{L?_<5edRXar?
zwtC{2vxx#nW`Vy<g=c^k-?M7Dt7qhPoqy=72jYY-iiL#l&nyeU!kTS)D>TP(X5V~q
zM#izEQJ!+(>WeBais!^keK2_*ew?2n8t@nRokOv@9bq*=aiY9rz8qHLs{p}nF8;|X
zsq+q2c`#b|u$_dD^cXl*yK;SWlr)IHZ)4it4?e0%?+mV--)U&p)||Xsb?%B(-P)JA
z9#)ts5WxSSLAr6~3{QM_D!1^ry&pzzbU2INJGv)Mz_8jK)v7J!#OLLB08O?;ad9J>
zsG@q0)`?73g)`rk@5CAXf4F)JpeWn^{TmPz3{pzErKGz<P-*Fs?h<L~P(iv`Qt7Ux
zYiW?~?iA^6c+d5I?%(tL-<j1JXBcpo>pHJ*9LMLd^M;-#ftk{t+x#GztFHyrayDNy
zRP~<~0;r&5U-A}zBPj6KZgRSBgYq!X)s$ox7n^x)&`7UW_q|yj4%v*#m~pmAk$;iJ
zU%$5WWY3SA5FfozZ%S2F`TBQG(r&knNi@_*?=<sLTZCbuvA812X+ReYZAJ>lRV8Lz
zy5*p98%2yz3v8FrUFX&AFj_Mgw^K4R+nZ0T3*H|_7-=r`eO&J9%EN;(8qKP0x=w68
zRW_}!&9N2w=gYh97naWWEY#60Hiy?%$LsGa^=Er_*R^}|XH0X-aoui~s*F5-*@b`o
z>?i_OO6P--g3o;ks1!d`!s@E{8JV}!Gn(4UHxp+P$6~I$E#JUkhBJHL=h?VPYyZ`=
z9?JVj<P3NiT6FlPRD_%+6|L`kDE}co>E5fALhycHzS%^$EjRolO!E=SN1OTmrvA)s
zHQL6{(wEZ;uV%|&Gg^%FMK=|hI}kVR#fH5=+aeCxyS+9POZm^=ixwF;P8T@pXQiVr
z9OWQTY3&()jt*^v`_t%9B4_n!eo{2f%5Mlw$ManG7aqYyRrU(wEB)7cy5+0hQciar
z^twP^#RgxDNYTmL2K%_9F)dUi7!?l?etgxNsvNDX1e*(}sI@-Mp@GI*Ypr~Mt^ZvM
zf=i8>8WH`y>3xwZjKWy44tCXpuf{uG!WEX^aH7|%m*y&2pM1s3T99Ic6_h5+e3xs^
zQ+Lwd8uu%5enO^ZD$gtB!>!vy=S|@lQMeF6qB9;>0`1dMfC2R$2V!vnm%W`5mCK)S
zb(dCZIk=b<74&BpY@#=Wdb1bL_;!_}N5SbtOUuLwzx}~Wu^d|CD*d+N453ZWs<aUn
zfZ^F-e_8b@$=eh*Azd-}+2k;+vYx@lbQGHhrq#Zznr%}(vBg6&`_pc=&^^0kwU~;X
z{;I#i$-BOkZY%n86}4;qcJl{4<@@yxfs3sX2Ah>qbaf0HGsklJ6`q#Opf>cqYft;-
zv&L_FUyTbOlIIN}PrGp6CH3Z?@%`E4Pw!_sXj)B?U_TY`KVo^205d*rTJ&~3K#taH
ztdGm6dOS<~RL9-%`BGVW`U*(JI#T}$M$5o090D65KL(jOJ)}z}y>YRzv7nPMTI-Hn
zyxnt&oDkzyNVWuvWRA%fd8m?!2rL4%k9kKL^F{u7?y6&pUJWoL;x0o=n9#1cbRCGI
z_e9GzWDSdr?srRz`Jy||mvPU=C1%4fW+}rHLqE@{s~#`sOI)X>k}PiK%AeLdp#A=E
zck|fDa-doliWRRNX6u#pdscPoQN7{TktbQ<CVD1W+SujUux{aloD<vra5oR{_2Ndv
zN`8CO+0w%DjT^H#<^`3K=F3d#N`0%cx5w9w>se>$+0d&^p|g~$bdKvyIqfp5yQ{|R
z7qj6><UY~S(O|Z#p}Ou)<NRU4Kw4Yd`$g<a;R7}~%r*~rI|Mg?Fm9Lr{+wYAS_-tK
znq;+S|C4E@BMF-9c?XQrL&=}|*S8lNqJk5G<vEjcGeg4Fwd}qRDhd<UR5s^MjL#m7
zKGB+V2Des6@zI|N$f>6;D=SR7w?bf1_j<gV&TiUL=lHq{Le#@x>E-Zs(^OxZE&-Y6
z>Egi%LxGpYQJ2FL`CGL&#}^%6{TbpN@0}r?1|yy`rdo&%`XFI6+)~CgLs-%fP9u}z
zLTfroU^4=f#Yq5mTMZX!0_zdDzy0oVQxAC5L3aRJq5C?}8u;_XqH-l&_sb(o0sZWM
zsvfuyAsS8NH26#I;sa|bif7hl(Nu}mJ3<w5L0@{Rav?z|i(h5S+8(YNk$u=1U5Y0<
z3*8&<c}_B$v0gzGeq(;R7msJ_ZKRpkHQeugZ+)C4T}|Rh9<np4;t#2YX|fxw|NL<h
zuJA|l$8441`ip_7u5ZHA?ctskXl5iyg!9OC@!_XG!7vrfc4q;E0ZgGefJ+ihU#63q
z+DFLeAEVm8du3x}kXB<XC1HU2tkB9AQB%w7&FxV_XW|m3XBEGr6GF74kI*}Xz3K01
zBFWm<og*o*l%@eUpW{ud-b5xJvK#X@7``>svkZ0~ri>vl0+C@7q^>U7k#!Z=VLFX3
zE-v=ktKGbb-PqjJ``FU*gz9$O!uk%FzOb6Jva+nv0O`%f`k1#E*buv-3x58e7Bo;a
z2EM0{NjVr5a*rw@RQsL7s#IQI#m}@>?^LocmoL}MmOE;otw6_XSR`*nx+yZ7-Zy5v
zhhrNZ`?;f<=qtTe-R07Pt~PUbyEncq?B3u1k>>DP4QVY#ik>;1yY`c53;M<*j_=OI
zf|bE0gLKa;DzdnTh4xtuxkWxAA>M%Sk*k6>3JnVU=E5)B^Se`J5=c{TKY%|H7XMbt
z@M1Xvi~J^-8C~f6UXNMYY71jn$BKEeANLnwM(Q`FQkI`K<1BRE8Fy-*?EdU`XRsuq
z)*pPoK}oaUBT=`;%TYoy?4{pzB~g0gd3QA2ITx~K_08qYvgv}Ih)p@VE~@MY)uQmQ
zrlRe0Z%yU?#&=aUF0)VN*9?~cY5uEoe;HDZ-gTcyin@MqBIJ#X43UUe15BcHrdp%|
zyB<O^y#YE@x)ccH*LU-zJY>-RoO1m?8XPJ_{CqtrtA-W%Y-IfAA1}?L4Nwk7kE=dz
zD%wi*oa@maU8XGYGA4zqG0l8Pjg7kz(u;N9Fr(CS*(+f?Wph2>nwLJc3~EZLw%ykg
zUYIJ;-M9}Ea?KrI6q#?g7##Ch?%kb>b2RSS39AJk!^sdGk&O#=VZf`B;-agw=HFUf
zJRu&?5Iznr`rYPn=|$^#kwaJk?_JLfp-9bqU%G^VFLX3&@VCnWrYZ7)Ot5o8q8&41
z<Guf>I)+6T^E-ia_51DMqPgmmxpmJL6FHQ$H*eow4u^X^_qdfBU;ApX(&)Hs&1Ka2
zl=KlgaY7<P$0jlrq6fh<q5s~i!0{3SMq*$4)Lfs|F18(nT(cHzl1*<wxlCva3d<)J
zEmX6`!yDSx7VX0?glBqGnv7&8XBP!si}uQk*3}zIDe0JNL0!~P_aUqaW;j_k?=UEw
z{_NAqp2fCo^y{RvTl05iZ{2TfV<SIZF8Oz{EZ#26<ZRlU<~FbD?ia0oYj=Balv-DT
z5u{n*;=Z%fXeZS;;_UU^iw(J70liB=gu||&5%;nsoEsS8V(X0VTS9wy8g))OD{n(9
zoV5ZCKLZj67y+1pd3h~z!nXHe!1}~Ja3|uu(s^^$j-wEgZnw8HBmH|ZC9LNk?FqPU
z;g{|dC1#Pfw|~x>7luEXOtjSpp7aNigXBqRV^EV18wQb`2+v>wh5lV)%I*c0p;uf*
zcTP(x`H}Muc6?14M$1r)Xq`p@6T^G8N3Ud$ly+h(>u>berVH9R{Fez%We~N)^cw2)
z&fCIUtNz44mf_ylUgD*n8CBy<b=jTiplOqdW2!ysVVr&=XwVt}W>WUgu$y$8mvElt
z=*;IJmlotm4+M!iqCMZhmzqQjUzpzr|K|SrKfoMc4eE&Gn3H(>FE3?tj#tCaJja>A
zl-@(7_rc+N<utD0dx5H1P-0GRFnzDuN=u%*EFP_|>^;-@GE2d;tFVbD=;G!X5qDMi
z#cT5laqin%g>^{9;M>Nv+#3rX^wRCLUuN^=yXg=#HC_Q`N88xD6|P&U(-XnF$DUr!
z_YL7qBAB&%g=D8EAR6oz46{Eydk;b#uDyc4e?Qxsp9MrP_>g8o+b*=u{gq?$as6*`
z{PigCV5mSn>1O;mUSNL{g!lOL-#XJ?b}0~DGi{DN;>!??0OJu<84b0%M;6jhdiR`W
zA0s$UWIy$K{cEF+V*6Vqe}PScj_aiw@%^5)n}Y!PMS-dZzN4Y_jI~aA<ShPs{FNty
zGM5Rj_$2jeLtIV=zIP;@*(|E-MazUo^emX}lg_4)?R)Ge6G=O-fy+x&zT~DazIY2}
ztKPw*-NO^B`ia!({!G(z*5pc%htVe`5Vs8RBHa6i>i0ykZZBjoSFinJ`{(f5Fwo-J
z_N<knN`@ieQx6<@B1^4#C@TD?s)LJWnwusb;2)6gSn8?%plRRzG$Oz6ez26Q@6qNO
z;j3IsEAD-S6Ea;ou{FW(pH}LOrM3FQ2%~iRA+c7ky(zPC@S~NG;IF{_ihzjT={T6b
zs?;bIz9*!0{MVNAe?LbK2v6pW9W7rXp@}Ue8sO-#%jfCE%Le?9+|YLlUXK1XVUmj@
z(>@Jvdg$zrfz?`M`=7_)Ur~Ik6yQDoHG+|UKrO|*nl#!^thL-IOov30;aHW<<9rFb
zIT-)<IWPG|)LE;iHI1~<LIIaf-DX<b$<d4?|9PyNV$M%MaU%YlUH%fu{%v!yD7>5V
z&G<Ron0(nsuhYF>vz7;+o&7z7deJ^Aa)=NQ?0gbgPetW~V{kJ*=9QyTb0QY_;w1V#
z{0~J_6Y1C6UqVNp9c{<6Bzn<tRoAUtikPRB-m7WiX|ll0D5A-5flhSL80&xE6mZzB
zWp3*5UzG2;eY5o-88$R_Q@w=2F3!KsZ?D=lya2>Z(HgYhn1vs4;ynNNxt5K&^kH;6
zys;&B(J9LczfiB#W}o}1Nw&!cp`Aa46@}RZszl%nX{QCsD8oUR)c^TAff9&DQC*$K
zZg)=kbK2G2_w&ud%efjiuu)ZbDM&%Zl~F3UJi;t9|EK;2NPs^A-J5>Ae8?O&BL06i
zWYkgL^by5~!gVj?fRGD5-C;w52Ag?n9nrs=I=fiELP6Cht*_c+K(sD<3AC%2)L?2x
z4(Cx&^Z#8`f$lzz-E(>`)0Y|VACD9w8t*tu8%xP69!v%+2AqhmUxBP>NEU1r`jK-t
zC^7GmQE%iEdFZuP*NzOlXrHG2xQ<BYLizJo60Y<5hnbhc>fnZuw$6G&GH9d&(cq>b
z+U&RT-$gmm2u_n?o_ms|Z;2tD=xS@%oAxIHiAC+lLRD2&M)hJ3FqQ`TC*9v49CT*D
zsymK3^qR^G7#PRL$NRS`lx()FF009!s7Y-Y85n>Hs?RR`1|hsatq4@0>OPMduzeAb
zYp{cuTU4ghYwb?M(h;~+so|ZIFxpF`9h_ixFyBPSPN=oae#=*-_xc6;Owxj;zh{3b
zTI8O9!4-VN3xqvT?|Uz)Iq>6C!E&G1(KsP*QC}_%7mSy+s%>|n-BdVTpkg<oy2R81
zOqS!^p($xulvTG+pFYXUhmBr<N_ePXAenp=#I$b>{q%QP2O~SU5(jJwV&FlfAZO#W
z*na~=1#X@_NCQY+8$e6}YJGr4fs<V<Eo<(m(9=M&&@0`#=QDtu>;W)%Ax7}MHJ~xn
zn-8Z0MiQJJbs*Lc-xI||HC_EFAWBwVg0ln~hIs)F3r_THvR;r-3qwUF|M+=vbk?}~
zXKP<N1URe_V&GiM8!XgGZ-Lv>91n195&(g%$))`m3HMAAa|=`FUZgsvllRJqF901E
zpn)YJNeBWwy%a#bdTB>N<sc?U!A?{$RIDqI;guIeO~m)f7<f}3REV=Roy}O~N~Spt
zSxiq)=L)1{4fKJW#yQv3(1GL<*j=54gz!d!(E#u2(;WI}fY0Oq6VEB8FFpryv&j>C
zl2F)p?H;a_Ax2%%(9i&gSov^s1sot9Di*#7kU?fz!@H!HcchRoBHJ3@5qjn9QUG8K
zA>;@HJ6vtD<?jd!KpF<hct|i<+@$}KqlW;jeN{FLxooYc=gKn)JWAin$UrqfT%obt
zrS*3BPXKKTQAcX4e<o73#4Dv<;W>WeWUEt*U9!gY3M-HfT=<8aNiTv?0V#jrM;wCf
z5i!&?p*sn-0c^@u=0GZti&eZ>!8g!;ak#3~JCK~6wKbf#9U%edF0p1~dI9;%37E|C
zeLgW~qN4RwBgcu95}eSppgxXg*6z%e3kR0z&147k{E-dL-)N5s3Fqov>{`2l`c8QJ
zc*W<X{lRwUZYCfJx1%nN7pM#PR{**WK3AwSjj(kc2)pF+s9Wx<fQEd*qLP}T{Ax4`
zW@HLTw=?G=$AQq7Gw-X`J4!w{-aS}>Ho>od$!0omjHGGA03WQPf)7!+4oa)dUCm>8
z{{hT;s8&`>52B&{LcJ(a1)eO5ic7>E7RmbRXts#K4)hZT2he!6Hsb{bmRn5gkx<uZ
z@>w$^gDq}LfI^<2>w!KV2F?SFUskBzdw_Qo-qB~8Q+#ZL)H^H}4di=}b5sw)ork9B
z{da}a9)`nA%iQ51egyT*@5PakaDGoVEz(HqwLV-Lxy@o>a{UmT_F(mW9yoLnz^?#t
zDfbOBc8X79U^fl<+(x)eX-!M$zURLCGut~(uO?6&$&2BlZ)$eU0#2<Fgf&}prax}A
zwN;!wsFG4njy|}6rGAG!x(cTEd5ebek9D?-pYG@aWPsRAaUP=Z0*Ps)sstOg`fO{o
zOEU+wtvipT29L!El+&`hvymjW!D<r99$beNy|yz|*49+Z$`{bCDb_!gatadaiLL`9
z26}s;;j~Dyf{>I(+6F0Y;!-x_r`XQf!u#YJu=#2`y$^*68`K(<wsH{UfRv;(k;^rl
zXa#Awa!T6dxcm2%zV!&J2T)~tswta_WBp!iy6=$Ii;7AvH(Ep=@SoCc68QPGqy=c0
z1K@d@=59TIslV+Ah=wktls##qx#aB_z2-`WV+NrG-xArMDTUmf&3)D|Z7h}!JEyXY
z2>XpsGPOi&z#UUAJ82P61-Na#zW{3P&M59Eeb9z>Wi;kJj#HP{QhNFo)EFp)+5z(E
z%zWk{VF`DvkQaEHNou$3Q$Y5)x6qi>GGm#^XV@dG75NsO!w^L<{Hbqc7XWFKTBzY`
zBU*ndL`nMLr;O0nPVXbf^_AQE&LetbjBOLoFvE+Uoe?tKZpEB2ayca(t>0FK+gwrE
zA7r$-xk+V9C|ppJQq)~-WVVFeEYBMR*;~8|3=VH1IMr6x=5YEI6O$Rkt@&sYeQaWU
zk6|)sCFrtoDEIY`Ezqzf4ahUYuWxcGw5P<p5xE)mspLeIU0#^E$mc^wJHI%;VL-!U
za<_2Rb;LLa7hS>1Rn_~oT(=nylNqT(svx8ooM19zSX6U^#z@e>Vr6;0j(04rsUQeR
z66bT79B<z*R1U^>HcCE{{zO4a8+TzLo!%MSLteyeCKKWg2MLYDsQs7VsJh;{?ZDS_
z+<>apwscGlTqWn&kh!1!SugUkv0z23Ppxg~@#qI>o}S8~5nS4pEqCL-gFc84c9b-p
z%_x0Are<xpW*uXBuzB8&HOY^*L%(<&A5QAH@lR;>GoXC7#f)TtS45)3*rJP{MsVvU
zNlS_KBMK>{!qR<%22gVG@+mo)>2#L~*b^{coj;)P4|<iT@v8Bo>wAt^Z4O<Uy?2GY
zrC2K!`whoogZ%9xk=_IbIzR$hm?uFj&~4K!Z1XTW=mS@otukS$ur@`9TymOX>7Ya{
z>TG!`@jYK<Zw^Y51&d`mE!5%&&e3Y!Ia~XK%cvIef~$wymq^+mN!sl9tePU_FlvnI
zmGCeLde*uCPUzQ8I9SC4UP}D4%Av$`M-Fs;SZh8V@~orW_0TX!@sI!-%TIbKCY*jN
z8$c*fc(fisSFe#s)6?zb;1X80q4PELDfFjB{r807!=L5T-S7NRslO){<&0sBWFd@~
zcA9P=;J#o2{O8~UV*r~uJEIqGS-W_ij93VH!+Xd2p2JvqdQ)HI>NiymeeNAl7YGBf
zt;Y3k-)1DnHx&VV83D!vb|iJp*LItMBS3t5pyo$1M$6P!XKQQ0z6ZjtgAtl4eTW)f
zEUgFs;sZ>uWTNijHV<nP8cF@0mB|aNNAS`R6&KW5{}5h43FL;<jT;cE%0+B1Ss0%2
znQv(_kFTFM<<mA0cU7%GEuPEs9{gl3D8ZVA^MTBmKvrV6hJ+ObtjHvX!<>#`mNMEE
zpsa;rsF%AQ0h8GKl_}ELjH7PMnm5z7iLVdB2{}3+su1pjlmSB$P);Ng3K!YduHz*s
z_+74?i`-u-)bJe>GL>NSCWoAM(t3mClk=0}U%sqpF@iJWgdV1Oe9M|?>Wqia*pxIY
z*dCeixl>yQTUXgS0&O)1$EZrF)}$cza`m&kjfSVcHW>d!MHs;K2(+c_e|xh%N`0fB
zH74lSm3L*B@ds2ZkJp1P+(5dgELM`;u3JM@xg4fbg@rMJl~s`!^b!%f{T6eI6nDx?
zRu&s&0IOx^$!m8UK|xR(XxKFXo~kmT?zc43Xa3$5Sn9LwJ<x~!An0LED#_+pAA6w)
ztgSfA1o7_V(Rz>(TS%QvaQY&Zg|O|pDAdw~F_Eie0^PI?;)&f=zVhYx>4I6MPgbCX
zCkWhS!ZD32@f9-NNwg}4u$w%#!{MFjvHn#xf!P;=WJTMR>e)f%KCpW-eMQYWaH~MN
zC}oE7Z{QpG8aQSo!c-oDW9ARqn#qRK;PyhTYJBoZvYb12(QKu&&6d{BAWFoX4_xoN
z_$4ADjEeg*<POZ8;)}Lqd2zYkJ!}DZNj0-C%@#yvRpXe}l2n@UGU#>j2k_7YMZI?1
zVY>-JBK3-ANs!W1au&}-!y?|qAu}Z-j-c&yty;NwME+T%2<hPGa)IJ!c%kj;yQv0$
zpq*31Kj(gYm9&1uTb1~_SJEF$*k!F>C|RQSYy{hbSu9798Ul_T>`#8d!Qyo%Rcr6S
zaXN%cK(w`?y<%E);60M9c=<lLywIu2zWM_ue*NfD5dZBBl<`F*f13hus{XiyAF+dq
zc%XC?L?a$uPjGmcY&Ec(X|1?<^+XrXR)^Q=Fb3%EQY%l1v5*FEd!=lrZ6l?)FSf>h
zF<DkxIm(%EJ8ONh&Io?)Mo<w)6#K(U4QZA(Sxk=e;wzDDGY@Bi6H|hJjXXGR9kyB6
zN0J-cx#UeBaJ2SGG;qE25!(!@*TP7O(0`7se*2}T2%%~e%NW0b9s!?CqyFF;XlAo)
zz+eFekxZ+`a~LnJ?GNNn?h29Os($29&dH|DK1~{;>F}9D*#W$-<39lj9FZT<57YgQ
zA4ttU8BZP!5awYV+#1N&yJ|(uL5Y@fnq5B`*iUeggCq3+p0+r^Ai{%~m<axXOvzfY
zJ>(Ex2#a;pTW=Z{P^0p{uGo!EjQZ@jnc)(@f2Y450v3dL+(-iwnSv+z<IJQf(0oWZ
zNA#ESjrWx7HgE7Mzb=Vs%rvJ!gJ2a{x!{*jIz@LN!#UzA<2p(lZXAvRG(~+w7VViq
z<wq2uTvR^8yHaCrDjQV>VA7D-pP_|HMo2p|$e@~Iavjwwfq=tXIUX2I^=>!g?MFHs
zvdl^@t4A^_6FShf;Q(nhCaUhprtH8Z2&-XD*#$AzfK9XWEGtK=whtgyDMP}h%0m-P
za5=BP@#W1jL8`FycU+(Ps(Hls6&sBdo_Dr^Qaox}?2y|vv+7V027k`}|1Ju2Dxcpb
z{SH8UiH|1;%Srd*vvSrtE26vSWu__8yY>P=hnDY4{^JEF78y1DTZ><hP&v{mhMjJ&
z&+THw;_z03zP&e`v<LL+nukFiuaLPP5;6MtyR_vUqyTm)9>EJb6$r7^_gpEm^f;`|
z4OJvMagal~pd#7}sVNxsdple6QXp9=zg;E8jwaXWL8?6M$;w<%KdrVJxjWH0q^(7r
zxOa!MmzdALI^@Z?<pP%CvuA={H?FdLB~Pm2gyM{GOwCFGm5ti)DUNn%KoGTngJ=MH
zHHEE|0Sl+8rmr#rl+@P&CZ|nw=8_1{0s8w9B*G2Rd?#Z-M+02JDc3G{$53zHCugd=
z+O;<8K4A~|*PKNks*kJi$;5^|Ma)5PPOX;Q&*jZo5qFwWq|O>Jic5BvD-tWTmnrRv
zd?SW#xzZja<!snOI3;Pe(x$8+WU@2W<O*+$HKuk(g;RArPsfFWlOd?q93LvOj$ax%
zlPgP_&q#_f)5I_YdxfI-#qGS`Xv=CZT;dY56RbueDEltx?7W#GB?wvwW6(8%X<N2~
zePvL_`^DPl9>BoDVajPgkF4!obk$L)*|zh%S@xB-H%PQ`Tctky(EbtlG8#S41`IMy
zi`XNLa}YMR*A5v1G|DukcWnZQH}&1tg4g!%jMMu6j}#dSo(pp?b@JhZ14$%veXWTx
z$|7_Uk~v9j%L!_vGuIDVRJ+MhQ6!njhasvb*xJTH$cbGby?h9dum1IqBQ`!JgV&h+
zGD#7gKm!|QvzKD@{Y8@9vyooVlouwhAA-Pu>MT}@Zxpk{`vDI3tUqP;AA>S2z=f7C
z1EBi(K4mhmtl1=0p%G!yZdm(gRaGdVRdBZ0*b*2f60qA0&+_W?+-g~wdws7l4RR9%
zWl+df7Dc2+eI_KbJRh?E@M@70h}d%G^RyKeMX48yQJ0=G-c+Bx<;7?(zcja7@Wd3|
z8!w3OSNRvW)C#xV&IOnNhUE{G-k(oqo+B87Rc@tIB_%d461TWab3fr&<-kW3Y<oe<
z^o<+pXocj_9E1g6vat!ov@A!cqA)Q-ozX%!@LR@Fka~=rb~8QbWqM`uvjq0K3faj`
zZVB=6vJDqS)8!n;jzY~<uS?jl<s0NoPnf76WHi-=i?UNPe>Vfx4r15)h5|X@jQ(Vr
z&dx390DteunYmLBeU8tUi&EW&P@ObRi>RW`O9SG_j@=$^vxB7;ZaKfN6K+I&)wr00
z$g^lB5>ExXEe5{O?hcY!A(|IPS3Af2tDD*YLM2;a3Aj<y+^3mMH{2qAH0+%WH;cuO
z{O@fN2owf11u%(B5c#d_=XEle!jlZK=G+B>eBQ?dKU)u9Gd(pOF2Q0RkgIJ!4--1m
z$e>1J{q!k{5IGTV-82p-BkU#nva$*!sO3GPt}z3S%eo*#_%O~V&hx_rkFz1lagBS~
zi^$_L!Ld9jbD2&I0~zBrJ(sWIjj?&4Gg78=NglN5tph889WucrAdlOuLIw_4#%nb3
z-L@1u+-9F9`x~{V$&n!Ct07Qz+`f*LGvTQ1OLVY-LeS+0rDQ+J;}#+{7>YI}3Pcos
z1FhO`-i_~~Yy#iqPz<XECMlWhxa$Mu=yBxe#V56>d_5Bc^axosCPI%1S@jV<PpL_1
zX`5Xj30^GuSH1a1=mb6{VNeWiaKxa1L5nEzjBzF5=q9J-N92=Dnx<;ohn6MfikPC3
z)3;dxs~(BQ`vq9dzh6Gj#%jJX)qD9GnN+FjrRYjqHvwY~+ZP1x0t2)OisV9j%I{Nb
z;i&orq(L0e)(KQ2Z3r(N+4UR0SAxY)D4Bw?U-KFu(nT5&SGD_TV_1BPGTSd0jgd}N
zqz(=R(H2fg;rFDy`Fz%dxVJ!S{o}PJg{)knE2?St($8AmUy1xc6;za84WSm4+GJw4
zDDZM?M^fI<?J`3*Gj#JQAD6v|p_oc0$FW{{?K_ynGwAxI6KpQr6VPb21x{=yUnj{j
zw8hQObEnD*>rrq!apZV(h3uK&$$CEAe%?G${x{nQKCMIty}<Ghh9oeedxQq0VjtMn
zdUj5%@6J-{jNdugR1Qgg@j2$#qv8%M(o_g^#_p>?)bRV(u4S`Ts0p1~vv{Y(^2X5b
zdpnUFig>W;<jeBSqUwcm_9WT?=8|07_Wa>y^Im|b*8RMdRrMqsxlB4eFjvQVhH~u{
z$+Wv8Yxzy{BeO8R4T6;l=lMdV)vBLwF>^W|A@h-S4wNZOsE+Yo&C$<W7^*L5L6iH8
zu{2k^MH-q3lO!@L#EPsyy14wR#?pH|<(`$bXnFo$6YXq{d7jkEjcs_LGoa^}WP&ag
z5_%;5;2Gtyo?=a}KTD+^CH~A5V#ZC#wg2M6HR&}s49NW@Py1c`^##u9*ox#8t709N
zxRrxyC=?U)G#WCd`rBG0c<SjE!ShC3erYI;mx71cAADYD^5kN|WkLV40J!*0%Z)m#
z`z@Y)<B4x-IemkMPOa4@Eyd4L%7&%yZou>b(#(QZ^(e_9L4&yuTMg%g%Cd|0JyFD(
zyjFV2Sq<$PC!$6>^}ApBhO!j1AT~r?n9ML}!w5~$0hmyeNv$0|MujPQT8jf6rGGyU
z+Fl6FpFr95KO}-K?`SLVwB3f)nNrrdN$~6h+JYqUl^O!bBK-pSKeYcK4Z=vmZ6z?{
z4fweGQ%^%8Q>p(ILMM5619`K-Htxg@O0B$Et`D8L=~p`jj#t+|m1CHDyNgK7{FY~>
z&0LAAnLQY$n)8bK0@zV_EgV@?Y73_M^$WNd5Ro_hCNb5%&2EJFJqi8z%ZPGm&<b^d
ziJ*$<yD2_fFeI|aL%U(~xqm|}Isdb_ah0<?>>k^oopw&leM)wuG-mF;9fG|_H$+v^
zypBYGF(0l3_lO4oyun9QgC1Z@Zl*xWU1a>KV=&N^So^1qg@;&B@J#Vp7UgT7izHP!
z$tS}B=4k0n3%41#wI#70$gKD`Q>rCujhH$nx&<86=5ddps#AHnWuiF?XDNJzuS`$N
zpK(#WE84MFlZZ|ONwu^IA*GTC#|9uaR@<>gRjyk^QkYNVYB(Gd;@a_sFpPsB*wjdx
zZPu{Jvwar@U&lwSA~--3)rLDIT`NyYSYo47i_zs*J1_oooXeBip&5Vw-Ck<NBT~Mz
zNHGZKpGiZCZ?RLPG9@-R(d4M!0D_zTbhweUphd{?;U%xrAC<VLu98-o=V3;sT3d%;
zLT9ffv7QP9$f#Ogv(WMcl92|cgBpFporWk@7FyR!qz`I@8dgkIF2XY&O%)!lEL4cr
zkao#*R+zpT7K?xu?}S55hrP?^bv*tf3FMV{@Il@T6iLw{4O2zLB|Be6F!t4z6EbFd
zzxSA0>={006mxg(#NhLJ{CG~tKUK_vfHGHdAjUA1t?L;3kjhj>I4WwjWGBi<Il7}W
z_XU(ChS)E9qf;GSh!V-Vtu_18(jrrqsWKa|mso;9nqZk;4*%<TY$lpqtMNRpZgwMK
zYqU-zrFX5p+2(x-Z04*Zs4Cjiv=KG~fs|#703M6XCWTVipCT|h#yK*XIqX!^!uY@{
zfU3Q@l?vTI*p+45*T%vhExau{<#bp3Vf#-GkpxbwSpPgcW0Hyrj=BERHx2&H4r5%G
z4YJDx;*OK8Yi~Hv={VMEi4*Kl^@v!b+OAO&k4Hd}^Hl2Tu|4S*+)SB#yn5uvGtcXs
zaVv(`;JR1ch9dy+{(%N>uMp(qz-^9%C3^dT?c^QKbxOVIz$BP76En^FJn?1B-#(2M
z#-j2O7TduJmiX~$<<)JvEb41Y5+$y}1gF#|a?i0mgXL+{c&W)&8YLIr4B;tL+XAQC
zfRN!bo0MWK0kwRv8g(@Cr%1)3NTHWx$71bKOFUv)(1iq4X8t+xW_0z{av!{wAS6kp
zj9(UpjIMO0of{g?2P<es2De3M((aR-e6C+sUe~txs!2u>2GdjKb{pzCA7k5cAragU
zS9jZ~kQIP1$qAYp*WuUr6xVW$8ixjDoH_jVOx(d<Wg$1KZQBp*czlc|(%kVQ+aLzX
zCLObn#6dptZz*>M_REF=eUx&jc*clS_Cs60DxTgXH<sp1j$T*W#3|M7H-<<{9uB-G
zy|o+3mJL<pX{_vvul#P-hUgaw(^8IX#4xVg*P+5V%N%+TTUyrq$(NJGex&0ve<u4E
zNiJ!T3@9Sny|>)l`}Ig~NSf{Lj+WZI_xtUxsQdTz@1hCu9+`j`0&+p*i+f?RyFKa<
zBW|Gu;1&aEQu~)V%{Pl__mlT$x9&+pZq*a>#UySiu&;I=w^x3rPi|tl6TCOKV9s^7
zy?S>?z(=^6MxQf#b>2fK#XXd6R8%7lj=gSmGtVaMjWka)+We<zYlv}}uk>&Wlp@0<
z4T+xa9eO6Q89n6hSxqD!B?&H8>QJ-g^F&RiWePH`^y3yaq1s4E6cIHs!#YanHe=Q0
z)kcvw8f~9Nt4j|R>*@J;!i|iInpFP<vw46AWsFY6wy$+avh>0E3e)TKS(`@A^RVKi
z9>;!{woQA(Y@~bh(#I*TEQ^Rao=KewOs?MX)+jV9vCWO6dj{q(QulZV9}e~YWL3^l
z$m&;ck_g;vk9zaCGLnJo^96NtTHqKP3!t~vZ18xyADCg>udndf72_h>Mr6V#lL1kp
zTV8|pA0#Yvt8Q>a|7e`bFxzceC0?m8ac^vK?o%|%W=?9hn7wF}%$zjCf(WaY!FmQf
zHW^IJnp|eC`;7Pbg&mT47Ox720%S3g$b~>QMJUM$E16wVA4-e!{tdZ9!~|)|m31Kb
zImC{`4XgRH>-F!HgUgh|;_PH(3Vp}y;pX9aH!Jt^JTDw$eok4eH~+>G9lQqG;)z`?
zvxOhu7Aly)i4Xq6?X+NpoZ<cguMtWIQJuDy50i^H0zKZ3TKH`#qqzH@hWBsJ_k!Bz
z;l{W1p)nn}^f<KT_Xk_S6&1_3ix17-;YyM>0d7v$`HiI`d>{MIYl#wx_W2Iwx3%wJ
zXzPcSE3)*C?0+`M|A<V$pwJzZL-ryaFMj;9@cy5_MTOv~7Yy*}|NmategGgt*Uo7b
z@jpNAArg&1aIi~^<TfS~syR+MQPaaCKqdys*1X>j#w-8(eW@QKX6_fJYhnrCOt)s~
zjdD$5ZDZ>Pzed9XUkeaOyjw5I|NGUFF$mRUKLxkg0eIwj2@*Hpjy!)H_M1mECCJAL
z)f}VLDqB1ZJ}UX=B`Szr`X|2SwbCuWyYz!3qM+5tYG5&dTg;LFTFiZs=|GY5n*qu8
zxJ&ip+TT3enrI*8+qxbJPS%2Q-Sw!yD`Y^rTtXF9!>7b7K>oajThrrIeYwiO`{{4Q
z_T1a%LLTP=JLue2LIc>6qmlt$FglsGCZ2Bs{M)k@yxfrfiO2~N1q=evhFpYx0ejU7
z+xeN<F|gnTV2c^B)Bq8bZt+nPTOch&P6@;_c}!TaLIHQ9t}f9M0)c?#q<N`VJHy!c
zI4(XuktEneo<E{6ymNI4_%_s5*3i%Z>>T@#`}>xkD5|NMhB*EiqYom9`*}A;d_hp~
zl!90{V8&!xK(d*MBW$l}QDT8OwH4^!C{cBWvJVchg@DANoddi}*Hqn5IpoB*J}@*5
zr@qBUwimM<#52G2j{AvY5+5n(gZZ;^wk+G}Am1i&8qx)bK1l>SYA3Lo9^l_D1Pl-N
zsjk*A5&_u_czRm+2szoJ+a^gyd4vYw%A=OY!Ys|Vz`*62vGNk2b^)gNY?vA>+zCH{
zh`EPP2}IFnj@IM#xL*U0F$ueIp!9972*}u+{+y7M<PI{6o{{iZh?O|+FW8v%t8Lr^
z1jX(u^H=3JgJ~k(fOwug-~zjz2S0x1Y5;i@f9>AQ0Nu@O7N86+jt50}_&}&0Ja;xF
z>s=QzqRU;c4N%k3qAev{;Qf00KO^%%1*FNRNgsjxH2tDFczl7sn4@ly)!U#NY(I&*
z7#J8pV%*lQaYXsIuL19En1<Wr0dD7)Sk0>s4O1Co!eEE@4U_F~3PiiwfUP?BB1BZr
z#LSFEr)CJU#W4@OL;#vFta$=F$%%*AnVD-~@pR@#mNJUoRyLP>nMp`~R1P-Yz=n=I
zDD<wMDh1nxW@!#cT*t;9-U;mOpf-SfnRAO#s_5?fldVx9_Wo74McA~DfT)jW*iLzE
zU#1*@TL9VQs$wGr&7s?UlaWpe?c-ueuaL`sVKbZuWCICA;lywUEuSx18=Wi=Rjir%
zbDCH12qSCijeB5=rd$QPVUJ4K8Jn0~S`+Z%L{?dh(kefq*<iWCp9*BAQT(N)e*K%H
z45)5FVpT6VNdd8662ZuLy(jkW4<?EUUo~u``I4Jl79UJ~Xb}gSPj6!>2O@vpy_36Z
z_I(h~q={V<RxNp641>qTOoPR<G1Svq%WsKwW(rJt8hsR!LO;tPXs7pdqA%tGRKR6L
zUY`bqe({16w0iG+sQ+Xw3ALRPT)7&_T$fC6yU0wbUU(y;R+nq}!=#svl8=bPQz){)
zw(AywN&*LjBab68Tre@v)0fSBb?OMlV`d*8nhjtB`>~ED<+Nu;oX5cCY}75Ocjyf+
z6<~y<LMP5HBOfEGutuqcB?6VE8CnIi5Kv6p)bXJ~Z)P<<O8F2ym3}lzzidzB0iXRK
ze`Fm}`A-z0D>%hkpzr0d0PxTmg}tDI@}P-$9!Rs2TeFHZBQIyLCalDz2i7Y&y}^i0
zFeHRjXoiZenTp6N#j;0pG@qAR&4>Ailuw!enC)v*A}E?C^mT1%DP~f89olE2)#Q1n
zX_I(90m@qtqF^&!-a$1gXc#aKbJpWb@|6yKVPbWqjbP1)oCcUSc8YU`{g+<L<LY`e
zf_uX#6rat)&XM_KG+Vq5JMaY@WUn5HTp*Tkd~jRG)lW<Y8jl_|2YCn#&_Lz@3?+qD
zC6&$St3|J5GQj&!gvphP&S%H|JC%t5QyFx=_k_=VYiRVjKF)=)dOe!>!7cHQZ?fkF
z_Vz>(^bMxS#_tReJL34`m)T@-(GmxiEWs#u!$zW2poW%{<?-7edm(XckEnB@-PypJ
zV2#YmzT@}g73(EDku1b|6`3W;BA!ec2V)wePg8AdGk|#@@QBy<*AxYlMGPrJVy>Nu
z3C*VNvlpD^<N2x+hzyulRpAS0#zhd+Oxl9VMn-tnv?&(v=(6Ca9iSODb%*AGllF6g
zQHr}s(3{!Osz&A{V(-?4m@9WQB!`uov)*Py#7%)fePq`5i=kjH@kGx7;qcWX%-v3&
zTX5UJ-@EVsL$*A}*6+`+E;gcL*xY`RGwiE|cSZcLH>v;eW-kkDPDiqRPtQB*mzMcX
zm@<0IhdReRFj^!}zHWWO;<_2_Fe=BxN0lzTebJXGjmNFLHui~>Yx;2e(9Z|@<AS%K
ztXuGa{}==)<pOU$r<g0wp42url&dE~HXuz2mZ?-V5Zbe*9W{{aKH9l`!q?5|p3j^N
zJiG$hknKF#Fc@lS(crWex7@`%6D{2%-~PU+(H|(Ya7OUow_*+lm;cK=3#36JezyKo
z```|UBg>3R+50v)6H0kT6{BOD10>#(kCS@e*pJ4U=WwXJp^YN?;?I#So_<^PBFfi+
zoWqWock>d2wsC&@W;0haj3kBtMNSkgiwr!=WMjZYtQuDg0j!mP7NyCvvX*urdw)^b
z#x{_R-f~YB#@nj7c!}M9O%n{Iwa7t8by`|26b(q0g9*2_4p_eX$HEyX>HuGbd`q4A
zE{cQ&sA+vBL6LI^Pj#5<(06(Ie!s-KdI1GzQsr6X``@bW>9PIi@k>z}1!<a;y`S}=
zuV!jrzEIl58gd75E0|905x2X?nL!*!7VcdR8Khgio#Hn1Xcf`N<W>wxSI&|z9Smbb
zhTCXzB0uKXOb!{@RMj2_F?SW-+K%VPDhDQ3_A~uKC-*_zQ$`rAQrd*Ti^YN1UkjM1
za<iq!k<z5Up7U-`y?g~}So&Bz=d4B*I<tvq5-z(*^`sYMEyetMCH?mn;-x;AyLpSn
zd(q>U@ejmdq!0PU*OUqZKJdN!zrHtP!kTsixCQra3~Gq(Xs_FAopcF@jDF#p1Bq>n
zGQG5VzsA)F>&SKgv*V%WTxF<tY+J$3rRsz*TAWZ4v@nn~&1ph&fHFxch+;eh!5zNb
z-NQ6=IedU2D7wyAT+_;pCfpKQZ+cxUjdP9X<B^t%Gg-;@o{=PSdjdTj>zT*6syZJ^
zX%HF*z3DvHb-E@~|B&K<b9jYFe4&ZrY=sLFmu;1-JHFdmY5i1#961?QuK-H0pU38S
zzpNnwB5~h*uen$F0-(G7Q#JnAgLEk6(`@&g1rgBdqRCz%PG}DG-x!v4#cDf;hKM~(
z1H%C(<4S2ttXLW(i#kz>8JeC<8<;gu<xiuSkmGdSne?n-BNb;UpW7fpWL!VIXVw_}
zQuV^8W6D(}2tmzUSf<39J1h;>eJ?0>cUm8JATYX0hY&1V8;<ZAp|B?9?owzEBwCYJ
zy`Oum&)~f&u!x9cW~D?(&h)KH=0}U+0tqi-dca{zV!EpT`2!&k;3lsiIHGt3cTz`g
z9Y+FI`e5W_3^rq`fXk~Vv2t=_C81@}{({`nHtw^&;{Z!yafG!1RD00Fk53bYredx_
z?%lPO{|&$ZMdGJu?R=0fDN2dS`iF;}KG7&N9VvXHRAPqb2shSBHeF)@uqA*@Z}=Vl
ztDUUC(I`5F)El6;`_YBuC|@zLU@XB^L2M>g7UB#FB4m!D-0WPyIl9}y45vZgDSCZ7
zj=`RWwfrF>)`qL#*oJr(4@F*MT8b-U4s{Sa)2WIbdvZ+!v5(3QXF%v&M;k|(`^J`w
z+FqZ?YCZGSf?k3{w=AP}{|gJ1R;eg|iw=}-?uy<8JAs!(bKFwN!GDDM%9khQpH;uK
zCm>kl7fwd8!6@MdI>r}&l#t1X>TUM1=A~Wlf6wPOk%C{m958CnA)8xLA_a-VQ4yxO
zPEJZh<--ewEn$g|?1$O@d})j8`(wgEzUikeiAtgKoSyw@tfAfXA)h0XOThllS8YQd
zRF0U<d%OJ)M!O9A0^vqvvt98<-;9X#n)QuxYZKai-o8<K{8l?LB5%ZbBntnn(wMqx
z!EgxW`nuzco2rFWKIh0udPV-bq>%54QWTl}6~8Ke#9_8FqxpVx@aUMD>gw#m4=Xtq
zx@&7&tz<FVcQ`ZIZEVsuhn~$0etwnalz22d2%RugI?=mZ*UOebb+u6A+id_*L8IJ+
z37Dzx^=1|$pW#{Ku()N_e~i30Qb_EQf7Z{Bki%${_gH)G?nL4K1hnj*NS_=dZXhN|
zT=@Rj^Z)2Jq;e7(J7V8vBm4>X1jIKdO%OShIqr(C<k~iHm?dpAUrtjB#npb4V}bo_
zXYdy%OQ?}|n3VkdFhTgpC7~wyj=AQN4b8g#XhLDmRc}|s#ioui)?NY;<+-_1GtCgQ
zxTdUc51L@rDq9@cx#v`5V=Z+;$JE`FNc^Z6(%O;wds~C=QBJT!bG;SmOvAX^Pm_zS
z{a(k}wFC)WQ{|TN?1f+CkG(E44d<U2)@pK^jBwKa+yjx)cOW3DANdp?cG1y*hBwMC
zm!gJpj2kJ?PvDTDzd@ZLi2EKbqaK8Yz71hBdH1E^rKmRbF0ThD5bWRF$p^?F))Z+Q
z;LMI(nK2mu5jbM4p1JDeX=)jKHXJR8uo-_RMYac$2K$c5`|ms~<ArnFHugO>1@boM
zLKtiYYg&u~E<>rlm&IHG5@5n%#0*kdyU>}$izlVZi-scpG(?+>)kfY-X<;^ZtQulI
zq!tk6IFVBZn){bq^++hbR5@Xpvl8v<0(4$lFIS~eo-680A)5J^QJ4E5J&qCgaaW8_
zC-a{}i(`!TeNv5X8pauS=e1)*CgX3^VyQ)*;=DnGEWfAQSGZ&*d<@aHYvj6TsM>z0
z&%O+ZB8P%YSb9b#OnM!`;e~l#2Q80|Ph?hZcNgz$uE=5?xahY{=@k;pI%ARVKt1sB
zO%p<Wm5kFl(ECyCmNZ(aU*$XdGpdhT(|v{A^um%~S(x&tpe)<JscTLMuS86s_^AH^
z-{kRmwqaZis~reW#PxyPo7M4ts2n{~S`OJi^cQ~~9He(A{&+aW&S6l64rVV|ljTHP
zX4DhENUOn@R?ZgP=j8qKO>E82=54#iyY458-S=*Hp_?X3qKGInxU2}(jHYfV`IOB#
z;qSP{%1?7tc#B-VMmPgb&gMGADpZp<`=W-Oqlt2Pts2_Xi(ds1-H6k2bInGupc|CA
zq=+#?ane!j+0B5^%binhU>nlX!A`PR4pYl%unzHAn!0^KaUGt2aR$GW-Y9yXs(Z((
zEn^2MC-!I;&YPY^)mnX!JOo`8Gw#JT?A|@Qa++|lQ@3Qa`to6|kli*w5bFCSTBr5g
z%))N9+Z#Bobl+6vQNx7SS`u#3_8Q~}n<yXTw3dmTzc|Eu=e$P6vDP>4eO|vPSJ`n}
z(0$39nNoHLI9-{H0i)_6kx%<XYy4gKp&l}ohsTd*C9j-IT7Y%)C%6<|{t(?pdgW_7
z-xKv%MdnB8Na4Oei?;U_I{P-d;Jt_az#7@zGFd_*6#~cb6)1!x`=76xzGkk9dT$<M
z)^8L2;Me!L2atp4KW2~PpXg|&B;{n}`dYs&F-*!cHPm2Ypsm@Mj{VV{{#(T$V*=u}
zhNm}1h;ngZ=6z<C$7&xY1iLDLC7zAV>u*G_Pcu1%*+F15zo7kXSr;f22)~@}@AmKI
z7i185=e6q<>7dhJUT^i8M&r7@e!KB{6c@U)jPF~gj*g$-FT$Rdwl|~8tL#=LH7nb_
zN%BLZ-EQxzsyphciR6~wvWia{A5xqind=+XrX#+dF<t2hbQky;qA2Psk4E4lKw}{U
zK8$7r)C1mWxRi8AX=G*+cITA(ppQ8|At|d*j%U7oJx{QXHrBeFGI6JeG1hp+v9q2~
z*ZvUq8>>P0>jv5T>=#F&9?mg@;^kxxFgL`ix2dw&JbH7zf6P-WB(F@)j-KdUAhAU~
zfaJ(=M10|gD9}z%=z7T>$cW&4d~U#EDmlGDX_ii_Mn2~}YtxrPTV02kfOPV6h?5M0
zypca|E=05Yvh$PGhstl9(``DOCA27s-W_BTq&|F4);t7{$;eTwWmBbvnC?w?EDT|a
zeAk*t&F=yL^^U=_!=$ZnNS<t7@kep<gp;=VD_ytCsNTV30SEn~P-z#zs{5&JCz(2B
z__0c<k6`P!st*4=O3@+;ANw*$b@$Qf*{2!PGNXB6l^r1v2bIP7$BtY^>86uYlvZg(
z3$-`s-Jj}hej3u?mywVxbTrCu^(DJ#euSDfm(93q)^SvFJ5z#N*QN8y#C2UArE4|i
zO+!d<Mc;V7;1KV)@)Y?xwn?oG7xRXUL+vgOM|vJBkM}^%EBgl#j%4<)VB^kp;=Cli
z54WoK-tdt)E>V$PqBh)cN0PO^ykLN(Ip5jvR2?U2v2m(>cIdggOascw4to8j#1akp
zL3yuU1n&OX9779#GL$0`@c|N;UZ&k;mJh8TjU7Mk$BZ7NZS_L43mLpunq{sXP6fsH
zB7<HgUG47ihw7T0WsLB9<l)jp5mO$xW1dzu!&}I~8LV-QZ+(8_1h{%w=(BY=EWvS_
z1BtYJdEbJ4(ZqMz51X}ZQDq}&ZOVlqV?FCNdDs)L9VD32$yq4Z0nyK3;t(4v13|zo
zc?48JU7odu7`>UtA&Gz963N;_!xG)Oa)j2FTZ!q>LZA0rb3Cas`oi(0b`vLh+@hhZ
zu$omSnWZg^NKu+G&pl7+<Ot&6#jCGFA3Z9e_H|WJK>8LSHb1rfacptUFCCVemnnZD
zLdeM<cYBlD@@()W#%rC1ew*Z41YQzs#sy9Gh;n`*V=l2}XDcOAp;Y`>J+c0*`7b}}
zLAI4jEzx80($xbiy20dR{^K(%9D#vkp~m&^%r1H^7(CA}E<)2TqPy-jD8aq-gBkI`
zM{ONEHE_&6RP_;%v1c~_BLsEMl(Wr|^r3cP)~$=V=F7=yP-3EKbX1uk_hx^TP=dU{
zNU0g^26MEYe<n^_Ew%zPzvPC!gLn*RP2YUz(J{GVgdH(@pSyU+JF^GCE`ni8TAH**
zL4dy|9=)iM&|hcxL6(bSIT_vT8HdwG=*YJUY608frzk#Obo%FEi8;47d~d(ZszrJo
zGsy{&T@8H;oYNteIY*5?S^oKrG+z$(Q~L8}^+UB6U0oad#z$3qFMy$jRB<&VlbtC7
z97)I<+%s(J1DH)`l_gk7PoBUalj{cZmwuMnJxO|OsV_c(D`>FsZqDT9c+cv7?XGNi
zz1ptE^R#^2D8r~LXW^1>XMX>-8l1L6vdsu{vR(V|V`mvtUn<NAYQdzV(R;!|HmyI+
zVeyB@Yn8`v+F|ZHguEyCa@p}sYAB@XdeZxL@;Q0N)AOOLH98SU&!C|{9^ZEX@%2%E
z`oQeR5M)|6?BXVXR{WG@yJObmcqP7OmPWI_;bLUk8PzT`V}=(K+b2tllk=;LUL#5n
z@_9X5O$nnVwN~$YR^@2l9Q*q{9JM#s0fU?z$yZWr?4<c2U%pIS8htu8V|slh=W;`t
z?7+_(P}*PA;2QIajrSQd1088J?ytVXNcp1&$OSc!tBtPUF<%dVeL@j~H92J;#~u}K
zx){7Xx_LaSPCf(vKDWV=c@y1pX|R$tk7<K+ZpMExkGZ?=U%Yu1JWF*sipdjb`bqd6
zYJkXx@>uz|5>bjI%N_O6Bg6iwU%YeYKk=s=9C;8E48mA6Ef7erMt2c#e;4{7)<9Dy
zvf(9-yw7;P+ZByUgvux<eM_wLPPRPGCk^@(;p|Y2>lb9d?A$^O=qRFR$;ai`^S<Ko
z1irnj?7CDs@lBHH7}1+Ri1yWVNctxG7)aU23ma$>vGKQXu^7iisaK`s>{BdvsOQ)r
zvd@j}?RE?(PRMSD$;wFR!*0h!30_sSHr5zMajTLNt^IL?t=}+~yJ%_4SGcc5O25C#
zngY3~(b*c1xJ@y|FDEh%4KLqn^yeIERt|JsFjLvRssc|!?<!|H_nPm#^Q8<d2o`r`
z&Pl(ty$s)6UrMZGZpzeOYOmC-b1Dqj5gIQoUKK6+Mbdv(OU*HwUPAU=eA#%+A>H&;
zm?YuOc9fJSpZ??7jX<@5h|8T07YcDD(&Ij@W&}Yiehd{+->*oMMRj5BP7_|92Ny~8
zVLOHM`>Dl`F=gIZ*&my=lK#y4g=71R!}v|HaDRRKz|BCL;ArgI)rzKgD_+RMzMQ~g
zquKe5Gx<J*96~L0v-k1Wg2xOx$~{L~sTQ)R#`f%PK~Vv+*$xouLIHd^;lTovz4)!J
zZacxGO`s0<a^y<4v+l~bPJdyLgz}5pq4?Sa1e*}q1|ofNnb4mUUi!waQ=M#UCdc!e
z)Mprz#MGIm<lFQG;1{y)A-(=&D$gs&rHt{5Z=N^ND(8uU{=l|Hh1`_9RqQeQQ;vI$
z`u;2D?3UF(+ZTjiM2f`OK6khJa%#&DzJ(=Y`FTF>yvd8$By^HJz_Sbt-}<_CS$$GE
z+@E!9Xp527d=YhslcSI<?85&nR6xJ1fA_~?!d#kj9lS)UfIkjj|6&JsZ)$TDqush2
zZe>@)=ijOiJ~GQ-oUyWW-4Jn93;OWLz2>&$!DyDm7e^2NuI#n?^3xNAa*Ch!{S2ew
z7H8#3Uu<^iB0rh1#|Mol{C~xLby(EP8}G7oC{og(B1nTE4YDdB4N^*nfans^4XYxG
zgp`Dov`BZe3W!L9B1m_KbS>OjJj6M_d;h-YInTP!GT-may!m-&-kDeMTeahI0-a-5
z^_$M^U9bwyFVdvJ?oK1n2sI_;=?mTH(%VwNQLyxXVD|MDF_XWZd@@n2FlBMbVYy6<
znAg)<6BCPMmb;G}E(Leg!|hB*bCd%JC6=%o*e8ETWrhjVIlOGLa%)H$E5j4<Y__4^
zzk;OWGmh^!oOaGoHZvbEvKG(&lg4|#NSa&)x5o@?6x<>VAIN>5p!O}}qsQ+N*pwq;
zjA&IC$Kq;@Nt9k@D>27@@!P|-VfC*39h?pLP?d<1aQB@92AWpKY1|4459q_eJ)3H8
zyT_~Vc|5`niS0%U2%X_&ru`A!&hq_RJvD2TZN$TG=|i9d4w}FSY8r58Cw4()mFfFL
z^7*gziu~!`PwuZKza&p`+nk8O;dPVfGdi+}7X}w0luM@Mo-COBYI5?UKRw7L57#6O
z@AC{+i4T(!KBy5J_aCTY_;P<x{9UB+dw5gIb<0fN=oamVKW-~>(J6Sp^7f7M4NgQY
zEgx`qh7+|2&K7lEy=LFAj)<PVeeO>P^%OV<kk}c{8F>R;-aXh)B(+YY7R&u+3F&Lg
zII4C<PV$zH&@Mu<?ExVUF1K{W$G&l~&II5litf_<&u?Fs)&KH{kF6!UCqW&RMjK5&
zcX^H<p*X)!zsdpo;OG0ri_Qe0*{l`RLTgOAZQm~`J1}`zCNmYxJJeKqt#)UO>5jOq
zA24D1q%O;cpBz78eA0v=z7td(^vnlWtqg^kv(KxBBEqid$kndDYv$A~?<#1Z>V8=6
z$P}%mW8<(8ut%HvothY)4@-Wd^Mu$Y+$;Ivninaa>!f3-|5|WsX;XexO!(z$A<?JB
zwe&xF?hH&Wb@-z8pCLcx6*kGTjJgW2jc8MlxY%ul;j$19R8B_r1ZBq^B*eK!D#gY9
zc6VqmHQ4Q`Z+h*2Nmvn^d?pcC-RDtSsYlTR`lG`bp)c!%+S#h9uV0SI7Z})>8~O8`
z-WoXv5P>{EPV8}3jhV;IiP9jQ&WG1+Tm_=8wHt7#vH-{s-S*N`&8Q5kjQHZ#vl@@4
z$$^YD<OFT-k_-GWe^z&6_Z|Qgz-OXA5_!NIYx4RtpqeE2YfU8X=oi>F`8RNsg-sv2
zZgPmRIBA%z1fg;4KkXla_MveXDwC0_cniY&znl24rMFd~e%A-_Td3HSn=}vp8mwzo
zxal>1?O@`MB!mBDQM}`aVTjLUyb$6ck-|oTaKn-EUkQ}~-b0>?2?LUX75kg#N^=cL
z+~5ui+duv|*Zvs>i1~P$>&ix6%P|Ga*yI^`$oS++)AezM-!A9neLvGxpu?`CcCcw|
zB4nIUu?%QMA?$ttUziY#FCMOtJsCX=!GK5Q<L(0|BhXMb@@U#l3X$H)E62RZSWdrA
z8+Nn)ir-V+lh%pOPy@^Xu_wCs60iJAA?<&K#8Glr+BUuvE730x99?#QGQ2}L%`rB@
zOYxUXfVSURj3C_o)cKMGL{-R4GY;9QKwkX)^2G$EC4(|s<A(=$$uS=8K)-MDt<>2=
zjwj&*#pE!8F!ZWhG*YmBLWWf)i1WIR3~|*KIl;MtZ&tvE%+xK?HyH-kvLkB*p4ug4
zRhJl^K3vBG9zL*Nz@wO{M&>Y89_+gtnv6NO_R=i5Ij(Gf9@_eR@o0>@+<BIhX>nv?
zdqaUN^of2-H5(k*<Wx5?Y@P{tO#dKZQ@x0hw0vN?r&Mbu!nlbJ?q<r70+BWguJ0EG
z?jJCe2r(#dBq9}oJVd|PH#ni1krwp5mNM>$>zcWvZ6q<fMQ(-oqfgo}L^BccfaH{=
z4$?;B+blg)hGiWQ->2_euFu8KFGZV5Fy#0^pEHA5WUZOm9Fr4qi?qyrZ7_9lY4E*L
zZK{NblOn<z1e%r1PpVHRuLzCgx9H+X_eSk$Bt8QJBZznK%Q}@IpV(+VTkqT|rR?`!
z?#{bba)?m;ZK{+baXxNE6bEZ5zF9Kfd0;@SIIkDhk_n$m^=s?JU`vE4fLFeY;!HVi
z%gRfM!N+?jzWX~_qhN0)he47tYM_}cxQwH?)0z8Przr&$6a#bRLadbEi6j%fgehVZ
z%NQ=Eg5W3F=NE){{DGt5=^T!}34o4hNS#5%D2<`@CPF?5j$)$-ibJor{MExp(qOGF
zoArSVf}OxNTO*jK<8h9ncMRo<F1i6?m2iLi+lT33I<L`hqu`%8GaDOfL(jEscAfo}
zDO$I_94j!LJ}e@nnHbZiETRApPFI`8sh`hy)ctcF*t+MV#%77O>eqoz$+Lb=RSt(!
zv;m*xzMjL*1ah78o7%aGpoksm$@jpq<tnd=(!#Pj$4ovk9KKQXKpBjZH5EC$<nnq#
z?$;E!%ii~3gI6awJ_@nt%m9CY@FH+IXDhj3rHcq9+@IRSoiS$Y=IIkN7!oL&@Md>X
z0nb0W^0te|Y&Xhlt)~gOo++1rlE=V)30$3cmPOA~whn3p?ow1666Genxn#q*E8x_x
z35fIZ&Lx%FR2mZMD9ygqxlll`Q-vqWgAjf=oUg8JB$%iPKnU~}DKqYNRRpr5S<|9_
zsfV_`I^OyRQlM!tqeqlNHL(R~zur`#=`cC#8<-BF3eDgFnwWuRi3FkSfk*3H&4xZG
zw7Q!!UuX{4b04%x4(jHxe$#MurRUGj!0%;-U_dHh#7FAXL4gQIRNkwMIO>lm7v`P2
zXEi}nJr=EqGa@6kq;15Ctp}9|Pycy~?O0e)lq0USsAZ{chVWWHrOM?<;2lbUzp&yX
zJ~1=okE9a~RZv!`Hfm}65^zt>cL17dVd+5!{X@;jRY&-8LQUeRYQwiiYALM$%0P$b
z-DGdqQ<0-5=Y=?5=*}dk(m@<<u8&K6t9~6^a?jp;q<-w>iFHNNp~oi+Bi1(hh8?wy
zS}$c(ep=L+JUL2Tv}8}?-ePTk{7PgV0hN#6MvEvnwkXqzyNaZ;v^YmnaPG_<MlqxA
z<5oV<y30V#gVsP&`HVkIyf!3rZyW2)H?YXR^c^o-<5<?ucs-aHlo+*crgf>*UP}9W
z&0g%+JKQgp{B!>j6>VEINqHgKvv4sjY@7#RS(eytYq9cV3a~@qAW)LHn=phO!AgDd
zJ;$v7i()|r(3Hzag4HhV4}7bDqbz@@Y;mA@;vhG&<Vbtd8KtDnY0#Cro2`X`oq1`*
z-sh9;JNo3~Zg_j4ioZQJci(IA7!+7H6&&s)r{lQuZUPgzdu@cs_He=K!Rg!t5X2yZ
zd^dH$)MmkI5l;cld`F;|j;aHvm_U^sp<+-SeL&~7_e0&LMlCa_j~W<jPGDS&;&|LY
z9UCOz)W&=Lv&TPCZ5|F*u6az#Ec*aS4g=;y`LRyq@dy)Pjo1fu4YR}i)9s$_!#P3P
z*1iO+s%!u|q$-y_M{ClNnZZ#sf{%Vl&~>JW^V&zwH@3wdbWqG6Z0Xmo_-@%S<{9_u
z15Nh>5=l4x*?^Td0QzPsct1V6)YGMPcV}(t-1s(K7`js!57tuk<ME^r5}n;f3CT&%
z$(b=ng~&fcZ%V9yXL+d%w8SC(2L_ue4Z^+0W_t##V{Rje4T>GIZp0NZ9ZAgdt4NiM
zgkD=N39pUbPHj+c+;sMt@ADgwJphK70j`K#c+pFb{qpWen6}E{wdS^_(#_Z?x+G%}
z@*|r#gr7Ge67RL1{ieJ2M%Ba5&xQnS6bM*(9iRt1-#X&%;ikYuuz-d*w)PV2l5+HX
z?__g7TGQn<f->rQJFag(*UsuMnIkC4)%6lt&f?nTDIGY7^Q`oCnCS31*R;f*2r~ro
z<vCgU6#J$2C5B#?v6kq@p<bb?WQT`GQy8SUFTUF5oi$W$?m5)uFP$t|YK<xMo)<FB
zX$@Ry0ALgKYfc~lR)l)_E=}~>S>t(!Tf0l$)9uBcRk(kBr>)w^e5Il1LSVJX*TH$g
zfdadYgRsWhlC_^g!#AV7Crbdqd6RuGTx6~g0?PM8xAZ+1zg4+{3PjsILveKbxTV7l
z6ncmAjqO$IJs~CYtB@o55D<#n&lnl6zt^q`hIp*6|8O=K*5Cdf3`TxtWQ+KDmli2=
zs$QDLi+QXBs$c6ZGlz>j`6<J5vp%W1f;0O_6k)eUZjTl+0`H9w#Hu26puK+)z;G=r
zm)*|ZFVf-rjerMm&Oad(*~kYnXkkmlMtrNaiHm>yAxj$Vz><9Uk<uiRfGBj>W3#fj
z%5g4J9T=H9yfz14b`E+3Wi^Pk(NgLnJJN2rOLF)P&8Zf&7>Nl5--97`p`a8nPrO%=
z6VN}8=0)-=5ZTVdGRx-8pYsR15sV4dBdf)`Zc8VkPCk<f#Q0N{Rt{_uYqiOMK{X`!
z5XGUrM!e-a<hXyoX4nc%rGFH|jmZeI6j+$es!D;ew6-tlwT&|Clde^u<lNqWr%QEM
zS834iZnC=4pPp$lDtruLFtFv(n6M8&UyOjL21$myHU0d4zO5S8hy^j@_GtZweU8%8
zw&XLZKF(?2cnEOS$NGIF0qaU2;1hDA)dHw=_NBJ0=R;{}<?=d><H3DrA0eG7h^O95
zMdslt#*3h4Z6w7xlb_NZ$>7lkCg%vz3M4_i5@4;<Ux9b207P))P&o2Yr%;V34~UbG
zO1%CN%}=O6{zxB;q#}a(%%IVK#JLanfV|e8b7VA6UsJ>lLVxtu$jMJucmsSj6@gtS
zR-FTe%{vW(6jbKGrtv1|H=>uJ{!UkIWa^KmC%if$t$DakOU4*jzW?p`_l2@a6G;58
zuOuMFtIc4;dcPzErU}$hQ(`UX1k%qGAc1Snx?a;Usb#M1xjx7L-X>~rlmS>;Om^Ul
zI>;<aDP}5QecW%@b-gRRpl~!%sR$5zLN;uR!b?J^cbfyf*Rd-AAD3vdDL8mXpk|ev
znQ#>KO81j3w7fIm^Wy8Z#meQz9xQe;B3fBbL$X9gs4kD;gS4ey$|H@tMRCa@jc8z)
z!$y5RZTJ?-v|yN^<$=-X*e7{V(5o_{%yxc<$#1*ex5lt$()%OPG-Gr!5bp1I^?LJn
z#0=(^5AS?%<jyeG6g-s7;oCe9TqZXOFU0W6C@wbnH|ztWJ^h4(%{tHh;E3>Q{nU2}
zlxX=v+#(<GZrYi)ajue@HWaptV!ZDzLSV-e*=4K!IN64$&q@J73LLnC%e{qAC^PBy
za{uyfbvom+w%--^Za*(aq|*_@ML9-@W8yZ71OY#^kxzX3DGIBgKS@U-S91@>(z}Xv
zB^bmdd%G)Yd$ytmr;e2eVN79*<8r?}Yy2MYOS8CpL!3JHA9O&ng5#;2SAh`7OZ$sA
z*eg&6u<8A~RfWIW7lR)w?z;M;fs$6YL{aj}HpmI(rt1hqftxb*L79Ye**e9U9kIah
zB;EtYR6foc_ry1@%lg!dUBCX>{jryw9iP=S?O?A;W#{^6ogX*?1!HK_bpT?L2^2f0
zt=uW)SVm#PSXWS>GSnjnhj3?u&IoXO%&$dti>-v3?U<ODE4wjX^Uo^P5&j^o<giPk
zPdiqp4j}|6m6H#3efaPp9G=A!_v#ycHh*0UJ6v?!Zl)%dkXAFX77X!VxBn!7<!ym-
zicA%QgvT!yF&m4^KG8%s-PTz>FNKNG4h-8H&l9X0AR8}j3=RAZ;n0RM6Ys58v!I5Z
zFe26<pS=?9SttqA*a~>^Qr~O<K>w0GBLkLV2(_ryx+!EAJUioHktNeGkP86VH6Zjg
z_H(aJxI>C>`|A_w#?)YrRBjp7_8|QMpb9&{X*u<lPH#`BvW$Jj;N3*m@Ryb5zE8KW
zp)!1+^pq<s_vx<{-#)RE2up;^y0u6$OZAwX!qe+{77Azr0|eyQR?Kv2dC?|=oeT7^
zKI^=4(t{cH=JN32YBP_v)Ao5i#A6_kpInFN!4m9=^#G7X1Wa^Nxf~O{MRGg`&<Wd!
zQeNiS)*X(BbF_lnu^)0c`hj670&KRHZ7w){7Z)L?e#JVt`HG9OG!gXC;fN6lbB^o9
zIese`!NOqW*2-wzPrAxvEi{4@#?)(DGsz{N`G~9nDZ3NH5>_tOfzmeW)6-hfvVRey
z!KHZ2fgLw7jpTNWr3)!PS$XdQuHO>X-PA-_<4O5UpokAwh;dmJWwdAcSulSrTF2g+
zKQZNJaxyNHzZ#%gUgN1*l}M$x9csdubF!3Ji~>VdeSndGsn@5zjQj-5x@|;zjcINX
z<ofCtUqUui!8zIQ@ACC;Ct@r*;WICW9+OY?7N8uqO2r+m5mJmR%xf90keZ440xzl#
z>&S?1uM<^_xB&3<*bT9}*mDGLFPnNRek!1McL@%xklpaKn4_g-E0vw@*7jUZp+9m9
zFyu63&jR=>Gc+Ju4CrOVc4L1_YWh2I$D=a6+Oj<VM_tkN3xn3K9v9KGd?^JUAZ~i?
zKt(_l;v@8#CMj%Il{_i}7JvC;;>uGk&CRjI+meKg?wy$ZM;%1Tfd|^JPHX`dJpm~g
z?p)UH1mUViu<mgmr^*-J5GOex2{WNSfZU{6KiLzJS=g}{@d9zU|Mh91z^A=!d*^v7
zh%@2nr@~V<Sb1T9Nf@FJoHWmh70CM71i$z7yQUnI@vmn_LhxP4vi{Yc>MCH0_+5+U
z8g|ulfYbtQg~=yub>jvxgS)czbAZ&I`zRz@Kvtieh%cfKf17TkuiP~p1RN?z>XD^B
zox<b(R4viGp6y;9p<qn~7%5ep%LxR=$3lw!me>u(sQgAJ;rN+E<Rv`t##_P)n`(&j
zgkX1`=&|Fe<R5*T1R-GLT2(Jt0y-k|KOdkunArK}I&mj2gMoJ$9g>26;Gmy^IFh~O
zV^2-=8qkj+lx&uloazctAL7m?2iD_`V9{6}=l?EE!Vs2#b11RXo@V^flqdKE;y5H7
z7T_0Vyx)KM6$JQY+ZG{lhF`Jhr(#nD*m!xtSP&wbPNzZRkwGxx2EUijxMrOU|7fg8
zBp#U7zuHrABEaQZfdK*Gh3%lqX_~2c#>d#fLa=M!!3+jliS?xTWF|kc@sQxQHn#NJ
zSR-9dxv`Hn<q?;Go)CYQbHF=kC5JuavDOMoTt(*DgKTnkV{l*)a8ws8+zehU@j50n
zSha5{W{~vq0A50aVBHUY?w(^)8vyRafDTI-1xhF8j)LMoC~(G<5E~o7+-RnncugEK
z3k;UoOn@gEcL2t^6P?E3Fkh^)W(~!nf(tROBQ?RXH|s+e)YFwWs`;G&Y20`KMjU$I
zpL9$Z)yoKSpYfoM>l6cf3bwCn)Ya8HMfLp+G-qxIYhaU?u^K@(iEo`qT4E(MM9}rx
zGrkSC^_k8piOn#-=qN7Eu%!_%mZS%3iYRy<dw)9P<bgE@2rDCD+H($K_fMuQ2@OHW
z%F0ILa!;tlOBZ?UtYQ=Tlkw9JsAyIR>UmJ;EED@>gK#PV%m46Bce-`&DgR*1SXc0W
zosY29sSJ~d`#qd7SP_U$vj9s&)FZ|cg+ai_oE2eU-7r^}>AX&5?dTho7Wg?Y{z2nu
zjD4iawy%9Kwn@)Ro)G;nJBdC4;XA@CM`CsIQ6`0ic;Ndnp6wC*@pPT)-^g7L?0wa|
zs3Sg>k$)7Y4h=nf_~*<1^O{pEcXspuKmk#kk9O4i&ubz92H_c9d49~&e{9p~TFk#*
zk5It6sJGg5b}ZqFM&SNoaFe4h$bJXjL!n2Y5-2w&0J{u%WaiGtFds387c1&GhdxhO
zUypT%fu0`qBmJf$s5zu%u^j|dP?Q@;S5TPFhm)beEU>&*o-<1ArdE9X_z`_QUfjoD
zI>3lz0tL;CcWwL|Hv)o$8yJDJF|LfD2ymD;8j_*GC1fBcYVx>yAiY=fz~!7(so;jn
zNyb66??1^xJDwxJ;qbu<NAQ1VZ-H6!5=gvc5P<UogPQ^!!g_L7C9Cda7X-)9ht^PH
z1&Imnmlk$io%k9^JKgTQYQCb9$)uW?3r1M8+Fy1u7qH|FQpn>zz8XfmcrLICt!q;7
z_T<kn!@nCZQzA$`Vvq4aA@2Jl-Zh((;=LKrJ6A>ypAj9oyMH7Mxq_d!y~AO+BOfq-
zO>(Cx-?S0rG3JcYrZEAeACK=sFWsJDb@xQ56D2UFyw)(|y$^Q41|N_BSS1*rQv)YJ
zbN|Rg2NR+@U1gdJq=(!%oIx)KbmV}rPXBuIX*{-mcLbE&@*e5}<vb%!$ovn6Kb9+4
zFczp;4DxBvbwB@5U5&@D0tc&3$cQs?St9@ZiM~-0V6Y$v*N}IvbK-(%97SS_@8CUP
zrCEizJP3i11;|O=I<?M;(ik~d+<HU<V~C6DfPVzgHV7qbAHc|eI#<1jD70ul=$1s0
z5yM2i55y@U!|uz~pR{wi6{Z*bz}k5taDSLCT?+*#kDS9u;t9Ta1&7QBT|s(q*{hUh
z+$kJPADu^2`Y>Djgo;K%P*6Dep23|_(}Rd3DsliSYK3#2_%hZGTm(2-HI<zM3Sj=f
zsb~a_0)gvL6$1yo_7*Ms&jH(GbP+9J7auVsolK^K5HZ;tdDynR-v$b1x`2yxz~Kp3
z505I!?B8I4l_(cj7nk;ICNw3E1Q^HA$iZP9Ts=*{|5O;nf~>v(B`7?lS$J_g*}uvS
zD+LkmS#R?91&DjV6#V~hp2!Y%f~-w4(5VsMedyD{Ok==IJKCa9XPo#mWOA;Ae0Ioa
zrE0Y%F#2p@@iSHUoYU=NZc#xIPq>G_u`=}k=^Y7Te#u*gDxC&g)dOZ>pz&mj2m@P(
zqPNIS6tW!K+c$?{#=g}X6onDb@Qeq<(*I-b*LA?|Q`-I8`@d8qd*@50dknI?Yuwi)
zh>WcTT#JAi0(l;KbKR!XCkEv+>2~WPafdMrg6ZCQsp;9riibn?gA$mX#$q6mt?(i*
zq&=n$^VCSq;fdQeI^eK?#yHBek+Z|1&!2)7SfWTkg0i;s<de;uT`na17+%<9JCgHf
zP`RP#!n#fEp)K4HVSvXuBh6HDv<P{`Z&hXlUf9Ft?Q5&Ha-`<sX;HeG>F*t{n=Pi+
zYVNK%WJO$zavuHS3-TYpnL^vo&#<e4^*mY=Bon;Xf|RPjbtt)A%I8ma>JmK>MaVML
z9rveLr3?OV-nn;1SpkD0gpF6C;eD{b<09$2MAu)nCTc&`0`B5+tpz8t04AA|%d<ZA
zv5CK-ExW7mlsK|VC&s}DbG<zU(yfnEAp5N4_3%MFp{{n~7SODJBMpq(X(ENUr~5y!
zt6GEYM$M%)Q*;W~F~8B@M6ZGc7Ie7uSI&<$DO?wD<v-0c@*rE+$2O&zafMx0M)=#s
z?ZNGeQ>fV3SdZP=^k6!XuB!WtwW)sSLfZB9QjB{Yi)qz3W&K}zPE980#flIe-n9x1
zi#sh)Id7p?6SkK1ORe=I<CWHcCRU?1`+?cFs*I#07WUk|fts+cYb8#n!VhyN5#s6D
zE&Z`s$9P~1&IQi@%AIC?iInx?D;p0IbE#LE-$)5vzu@188sn9%`{8G8BaAs<Wjud&
zF%2w}-mL=WUj>{))CAcqSXG^!oxmT}+gtz6$e2u$tloZH?(%>DN=m%_;ST(*SG4aC
zaBB-)%XG2=tS<|9jE#bBpm$D>Z8!LKgVbewj3db=+*nLdIac`3IOAc|B5;``J5kK$
z6?WjnuH+iOWSw#ex&kY>or+Jb3Lvrh+}ikw7BBf4aG`QbB%hpuFdZXfE$~S)GBVr#
zy<f%o?bBa0ffBW$5<g@n;VX|dE*oAS-2nxkNrXZ5!2zw2hdC|)M$nak>!6?HRy%<s
zcRx0h8BwqLe)ZebN~D!VH<&4Hfb-6G3%gNKvkhfvUlw*vWyqmh3EZ@u;zE|eLeqJE
z<8A6kV<3dz8rS&@1-c$t<B?;VcnYUKxAb6N=u$jTRPG)Y!#vumIU_oWvQR%_#x&+<
zkF4BZ$Uqq^{bv+<m_tdXyIOeHzABOfy?C1_orU^L>~+B~#1Y>S9J~>keWSVsDrT-(
zX()fYN*vbM+m4e9ivOfK(Q4jJ2KNd>U%PG0{lpq6;hs;O{^1RZ#J=VIn2@>sjmG9N
z6NgN<hRgo;Q>V1}8^bQ(yrjrGjRdWyLWsvnB-slC<zZOL#Iv-00s@0~lV4vJc-ulv
zV-ZMzKd0uJS-3^p2H85ZnuFGW#1F_HKgfrH^DZjE8hz(F2u?-w2g`3i{IUj)F1*6O
z&*DW)FDeB`SArL@1*f4wIrAwmWyO3_Yjlk?87oCgbk&}ThhKQzx8G4d2$vg)l2Hy6
z{P^~Khn!o1aUITgvWDm%O1Of<iG$$0aR}c-jWK4452Rl%e~y|^k)QswjqelJ`pMrW
z`jz=O$WgBXS9q)Mu&65C7_)VAsXHgMk_^cOHI;qpf}u(`VyITtv8jdGQ|!Egkz7+l
z>e}vA#*n4!WvwSm2tXuZ{1|DBO+^z$=DysO0Z*R4zNhH^HI}P8Al!R+Z%8)WjLC`b
zkAnC(Q|B8?%~h(fw^!T0^|sF2+`IhK4jz+i?V0&5+2l1JEtU(^cKw~4hIuyr3Xxw<
z!DmwIsdw+Ucx$i`w*;uwF#MBao^;$v;%P|2j6GlS{*jc>T#fxj;b2b7bkeen@`hVK
zv$L7R&LQcIi%5@67~1a41VBE%ejsapKKd(MgGr4&?Um`3ND~tI=zz(Hpd``~*WgC-
zka=PM;B3X)f**Nv9x>lde`%gilKf^wzR`p<3K2$8&LEu7W@WGgz+?3FsRp>!qFS*k
z{jWz|60tVb8(K>iU&E4IE`J@c+rQd5k&)wN23cayjW|VQfJp98Q&ZCy%t=OBxH;~&
zi~F_%%l>9fJHKb6Y#xf-2#L_u&F_sWH)HtP9Bw)Icr8weJzzneIU8%Xs?Fm)Vbo64
zJqIkKDKFEn#SI(nKVUBAY}??Pz6M?r(>Y<A)Qg$pG_Ll={fgH1_B{I!7OJ28;$AY|
z3<>r~DbX&*b+Qb`C{xJOI$1A8o8CeaBWixX>sBuPR;AKk9yW0+_`c7*!6Il+&K$kQ
zSwurtqQ|VTn+o|Hu~kJx9V+}?S+MJXg+fN9Y+0j-qB*J?(JFLrGf3AWwJcuiR(D{}
zFG*S536C6(DJS*%W@<*Lc(Tmkfl%kGRmXEX{`eMNJg@-9OWSJC`-86+GZg={%IFu9
z^*Y@0PT+53yvQa#)R(yRM|tg!?At>&hf0-yTkr^qOKl`jIe955JGQOLv70K23<bZV
zQ3JpH%cYXwZrJ4N9~Bc;uLSYE{+=EGx`Xa^&gJK7nk`v&lqO5l^@2i*X)lG}X$kZ4
z@d}k)i4O^g(fEdV%EWE{8l=5gFDN3FyUQKh>6^l$t-etD*@sz}o6OQW5BXbPD7$}N
zNyr3czfYiA8ebH)>hS!6^635Ft-RDX3mb{bNi@g;XD<7tH)no)@$`BN3yl&{IWcuK
zofVDQqgZmBW{_~85V`N$!8o)=N&kvc6=!69Yy5QI9awU3!l;pi#Hj4gy?UcA!cUQM
zZYg36)>4#BULMl%uQR?fe7TA({Nj`Gj{l1${j}aXuQbMJ$EzNpvC%%&;A+*o9~K^V
z3CJ`H_5~-iA`yznuY>PtH1A%zdO1u`uD0cI*M*JlIu=T<Zq<5)$1KHNa_pnedOaHW
z9PeFb?qmEYT=8orPD3tbBJ?*E-Xjf#+(*w|^x<W`mRWzBfMa4nqX^|4zk(7R1qHAK
zQfRjm{kdwzR=ROi1eMdXI?JXC5+rHQw|DdOFHa4x?SF0==hs#kZ+=6DBg*rVa+$70
zaCxwK#-2L9@$7;R@&aMKMAA3^?BI}B&1w&`@%Uz8V^?mmW}1jyQQ3WW&fF*3Gg~50
z&G#zX_plEH=O!I{2GcIP-4oMS%yr2mvvdNu+>v-;q>WmDrugSwrtiN59_C3s`P#pa
z`%H$bq%5KPmfUZD=iMg3<ti#p`tb&(FGJDmJQKP%zy9G8G{1h<IH)F$L#?ETAH_vi
zIT%|FC5U@Y_J34VBuERkOjh%Kk@mnL_^~A`NLZE<V6k}+-}<%qmx1nf2`!^N!o&S*
z35{hv0!TL^@l#<<u_sGQ56ghF8`YtI*^`;<V*B8;9-Fm86XTteeKzMU2XOAq(%4B`
zH%ocaH$x27e`nz_dB~?b<9AO1CV)(cAwpXWu6Ba4Dc!}Kv?Wh%+@yvt{!_0iNZg0t
zdraG3#{9KJ{i^e~+`r~y<b#E0qP*`k=ONvpR7~+@W&K=E7YBtBtp`Q_PQ1ntI*R!h
z8r$VirPWdQQKIdvbB5Y3v|9MkF3v6^;reGG8+tfb-^vcWDpJ}cxA0N#{LQ3}Y5gAn
z$Eqrb_#)2DXsR+d?Eq1(?2@VBPq?V;SAGg|{~|t^E7m=SY+AVKv=~Md@gEVZ6ythu
z#;@B;=s#m4pNWR8WyKU&!KFrLA$mfrvgvC{YMc~HeHrl6u=($F5YJ!?YHKqwly3%_
z<5~BWAwgYgL5pkC?bGf_kABz57#u~^{{m6#_b!=O%73&>6Wo+a2|TEe--50@!zMJL
zT=un_g$N2?3L1?It)_eb-%VQ93s9^sa%EE{X$?V>_ggm#n+5YDP17xW)*#~go8X*o
zKJ~eJr``LHnEoEVJWFr{H@*~0AWWW&#6Vq_E&uDmKB^ibE-D)1-T6?A=I-*xpFiSh
z&j7t68av2cN_fLu(Ip=SdG9T~kh-!?w9=KT5KR+A$=rK)GO62x6P^<68=61t{9pEp
zGQWLhL6ELyzZ+#EHHufVj5WA6{koctkKP9)4WMz{y0n3430qjE0+5fQuybef4gU_q
zK|axXv&H$V;PM}N`wF%RQkU1&>lVABMh3v6fqPGt3=2QE@GW~Z;1sujaAd1!O2jEG
zm~y`C>eWVu;eUxV+8ZaruBs1x4BP5`wN4ZAP9i_#CaFs@W;Z{wN-OLBXLokzr7;fq
zLTbZ?J%^1xzFCiJ{Wbq16^XDHszV?7OPVr$<2<Atl&A%*8r4W#*w)&Jc<sx_$H&RY
z$l$g_V8C(aI8hQFoD0Eoz0|GgtN$ai9V7^GI~lyx-{iOZUd`z4DU%wM+nK$1aNhMA
zq!8@Zt&TSaCy3ayT(M>ksi56Uj_z%v4KgW~O|2U|%he-r$A!2X$L9Vu-y=XG|FgS)
zjpb70IRib^`!sKn&1#6ElYXIjD=0e48t%;clQs;=wwspKjAJ%tdZT@Gw!ez~Y<j@a
zyQ9=D***FmK_X&$t??_)@}DcHf?J`1R4rdYyvEc^YPVLBR`}##2bA!>X*&XG4G0KW
zNin+3!&BmFVd3@^&wUjW)R!wtSGD@R{4bA#7O7V3m~@3_+<vmVfzF#L5W3k&6bOLy
zt6ZKAsa}Vy4T3Tz=K&IRpBQ>o(|vi{1XPI@$C)1dKJR$4-~P}15p4wZ8c#0ou3n$=
zV!{b~(N_onH9*)DI=N&%Y$R()_ymTqN-bPgn#3pYGq#rGSyuqm(Lwc+^l(O4)_W6M
z`C1YmHdV1LTG^k(NRP&>Kj0n<P`OhHhh;d_WxT<uinWd*CLlPU#M4CO$I@x)*FQ>K
zc;W6WpKmKTA9s(o|Bw7^WN-`0?iWYS-lW@51(zTZQf+)<Vj_e|wwI;*BGfiz;C9a>
zQ+AJ4Q`~>`t%zHdmY2y!W<78V51F6fw>P!rkz@5}s!CoOfbwyCxfYx-#Oy6MHTr%v
z%ikGRb?5_;|1vEtI+s?t{2FnVXQd(LJ<f1=z>JtFXPgKmoqP4w2#AQ3m6Y;DW3-DX
z&rP(ZSP`U{{;xbyASyoaL0OhPn%_vbRmsT8f_?A`+tDvtnW>7j7-bDKTqk)H|MU*S
b$3Bomsw*XMJ~Hu#fdAyAm8EiS8$J6!`bW4>

literal 0
HcmV?d00001

diff --git a/chapter_stack_and_queue/deque.assets/array_deque_push_last.png b/chapter_stack_and_queue/deque.assets/array_deque_push_last.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee429455e058d40afd7a8e0d81501b84a89c3527
GIT binary patch
literal 73057
zcmc$Gby!sE8ZV5bNDBx^3rKfK8gzG;lynT;2-4jR($d{2U4t}3OLt1wU7T}t?|b&S
ze_t7%Sw6GYn)TKDzQ6bgl9LfdeM;~Y1_lOIT<n7a3=BMQ2>O8p0^Wp3Bw&FzSg?ZV
zJD5_)%WdF4enx8I#?sO-w7@YE3_L6r%#+7cfFBrGf`487c!>lo;h$p#*w_C#2e@Z|
zDGc1d&WC}~0Nx+}=>flw*ZlkaNha)HcgzI+J{uk;^U3dH&=25j7_Sd+-GMh`8!>e-
z3=CS=<1cI+9U39<+%V!F-YPl6?xi8R<0xOZQSwK=J8YpS5Ia;8DyKg`D14|XZd7Yu
z#5t=wFIBU}alp~WAuRCz9G3TMv8Wm&I#LJ=>t5FGyMCe@7#uU7Vt1N`&g-@@#GB8D
z&AjBYbee94h)&EW5r7ov{ogOYH$F%Y)QM?nX;D#8Nl7lG4?;X(r6QFu+#x8t(ct`9
zo2`2AKduUdfol$ypkNL|>Lw+B2n-J|)oF1xG|b7EFT|lyWD%2=UTAW%R#8z=Q+vS=
z?c`ylz1veTCMN~`_iI@Ywn$Ujr;6VW49?EVT3K1a!omuU%@sz{%dxhzW9`f$n<ztv
zweSzeUp?|7sC*8KiSggBGB`f?ywMbuI|U&aaN@N_jTxD53#Sn+%4Crr&*4nPlQL^(
z=X&Kf8Q7sytua(59;uFB1Gy254w7&mg#P>Gj$OVp7A&nObZ|my1YX-+0->hH#Q1X6
zd){4liMm<NH^D5nc|Dx(&$+;yrEH$_+pkG3G-KoB@nky;L(LHj|Hl*hC}0U4jD6-&
zWY*D5K*+;F9a=y@CFttvaz5V@hRM&*Kb&vC4hp$;c&eA}#xv);@!E~Ekl>#U#YEzU
zrSlE@wQdn>la9ju05n%lw@ios#GnCT8Mpn?v(9qPc!EjCVD*}Vb!JD0!nFi@rgrOj
zr?J|3{L}yLdSEb?sbQCPu)az1syrdYx3Fh2nL16b%qO`-f(>1WXVBb2?hd)GInaHo
zl;zBm;tP45_*F4e(9JZbtmPNjl@<HH2LgEF_wBiKVQcJhFXWhw6ot?gg??#Jmru4!
zC$rm@A_{yoVpcEvH2BT41mRq%O(w{Eur_m=>K~JW6qNf)&#zQIS;d-QL2@upsO1=0
z^U3%(@%{OFTLWJIPEaCIMBmk(-EA_)CvdIytVkL>8~t4A|7xO~1V|-7qhH)d0!`5X
z1rlEWg)4!L9PgX?g$ON1`@CM8ZhqS|jmNhUYeA-sq|cVqO0zm?b;V)-^Iji8GX16l
zc{I-p8rJrdvbB<*D2F5p@AUNc68eH*L#gtR3qudO13Tk~8Ni$owt2#uoC~}3|D%0A
zlzM*orsKhKaNoYM48*b#OhK7A#5Ax8!j`3_q}Hr_U>2L4m{9S%%^~N}pZT4=D@`YG
zElAQi{`WY_fj}y|$tGb()h98ZM;kXn!)Vl8LJ&lbh;iGYP$-;;sECNhwj_2eFp5;K
zXM7a$gu#v~vz32qq#Pq0D;wMR*qGGxt*auVfm}W?Uvghz;Naj85m`cVEhHiW5MX8Z
zx3O|mvJ{quh6tV%`CKu9D)EL>Hen%sedS!C4)=;K)SZJ>%Z2Eu#mQfOhZ>=EO1+%2
z57z4*z61?OYM@(TPOk*@I`Ledxh7gAX^=`xW1cL(MuLQi4=W-$-cngyW1miHy9+4s
zLGK01lF2wWXPyH@L^;JZP594x&1^<mKC1~|IwA1A#({lY88;Ui1l-FObk@Eiej4gK
zV>z{pigV;{Ne(X_48X5O=KKR)7UTDGaiAOVkiXV~oDSScxAof@uuIt6J0Q@(MR?zb
zBSu&nSwKH2P>A8T$yYj(t5hVrZsJ2jk~CpfNjXPeD2_*d`-(n}YNBY+B>(oW5Hj$^
z+mnqEZ*NBlZXglHYdq|xH1tN<2`3)r^F*+sVmVgaXBsf)31?f@tUjy-TnWoZe;Hmj
z{kg1)ig+B{0E9nFK~5Oy$lMku>02HRNI6wVK|ukBI&-@TNzK;msYvz5PRf9@y;%Z-
z$W2(sWLHkJ^g83I8KZBKe}#<K1|Wqtqi0$RK|)tpGd1R_S7<^ls_Y<<)a0tsl2mQq
zYK|UySr}evY3Nm`N4ruZV_H0I$e%bbl!VD_nlV_+>+lLhE_VPYhFT)DW#@&0V+O-$
zyW?VN#+~BZfrq5WhHAF&ZlTVoJNN<q_m}$wzi;1*R<P~Kj{0}HiDiPN(=JIg;;XfI
z>H?Y}R!Y(^D<*+1D*vtL{vC)1qP%ehVkvGVMr%f^WGF3gO7XpXU>u>gW#!2dES9JW
zzq^`r4f!<|>zZx_)$7OAb&p{qp(QI=TGX=-%SptY!fa#`Cg>X(_Im~b!y4!PF4H$y
zH7rD^`&DM!CC+I}>`eima1l;<tsa7l8VtD8HF%gm!L(sS;>kZU4A3+ZI4xG(sNLdz
z?Dmb>Tu<!;fj2)GemD7Vfv|uSPV3{876H_)i$E`*wUqSzH1j{R%!f=vxX`{Dg*qV^
zHwi;?`AVx_v41`6pDZ2A58G9o|DB_=54*k8%}7w->|f3OYxe#tp>|N{8Cv@wayu^+
z82zs&LV|ncP4`{%$BTbH$7dNK5cgK#q|ZOTTu7Ld6jlp!@pI4LlJ+99p^*`TR=v&D
z$@-!-ubBxXwZU<Jc79$<RQqkzH4k_rCoj)+@u?1~!To;SlH<X=Y12%j105JzVGvMq
zoL{cr>Hq7OJxP30Qc`uZ`7|R5XCvj~0Qw903H@m`a1e{<!=PE)eDobfRog*10F9_Q
z9Cq@0D?7q&H#<V$DGJ?$gHM;oIn;#3c{?{@XR>J1;;H!UPEncFeEsn}c%%imGOdnp
zuwZy^&tk-NiGx9-IxsZU9_oHN%vEJP+_;^Wvgho1`4f?rsr7QDYD8epNNdJOM5M<T
zU7+6U;oc<OB~LttN@rMZHiG|Ltw^OL-FXGM4B_ADT~Y`%lO^}J={u0z-W7yBU8XB&
zJd{Xi-CQA?AwYTHd3$-xM~I1ed^WAiOKAEd^R2r(-%f(We9mF>Y4|Clk)KnW=bZ&5
z?R8n(ePx0t?m_)(I5EHLrRg5)`=2A}{5QQMULQJ6$l7bLH|v%>Ll8Dp^mnEwlNlf5
zU^^Eqvfh%rz3T5pk-3AVHxkNWKDGST5?X1bq@=_wqy--4K;nB&I&kVwXvO{04_o5L
z;KVn@1bX%FzFm^C$?W~mclP%778b?duI?_D((0s=L{mXCN?FFMD=U0q{N@{wv?ixR
zoyR_eV<^*Vu-hKX4Z&l|(>te9ud`aH=p~*jQf0cKH#~X)4!YB{ZZX;oKqZ_iR%dhj
z_W5yEUCIKT<)!jh<yP<xj?;SawujI<vAZr?G=eeAZ3>ZtJiyd_Z>C~AU)F2CX4-73
z7zzX}lJoSs$V}_jE2=Y99T&=u9$Egg=j(2VEp;j-8gA!%WbOoKGkMY}yQNLxGaLCC
zo~{=M3r`Ty_)dq|q!o3(90=oSPc*xLM_T#JiCwqI?2AoWA_&|ku&Jc_`ukZpxeG>H
zfG*}MY;rx@Ie)9f5;bRh#?)$#=2oOxXNA=s@Bf$~yUBr-Ko2bc-^(1y1H>&Xc=v0(
zto3>zn0+<t+1QYJeaPWOyU!En6yQqjVx7o(U}BLA?2MnFrxUS%`VorH22@o3ft0Jy
zF}odhCK^s5yirs0EoW1jhiwm@SRcQ}%cpnm43ZcKdE6fN_SlW*Nk8xN?aqgL`s~NV
zDvL;Kt@(7R$IW?akY%m@NDQ?sF|(fc=vs#R339mYa=CH6NEpF}I+&4>a<l3&k}KJQ
zu-cVx5rxL_em^(&=l0vH)1X?8q+oTDrjOmh6jq3vAoxIpp1GvRNV#I-$Qo`p`Q`*&
z&nu6Mg@BFuI%^V!a{H;SciCd%5syn}&RBkMEtY`CZVg!8i@B0`nuqlBj&qhOv2S+y
z2TNt2Xn6vQQikp2#LJ0H3u*qKdI-<v%lt5!Q)E4$cH<7<i5U;E#+cBx?Z(MZcP-4X
zFnbJ2Ks0>iE!iV28}vH^`BA|(hZigXHFDd--QnHMMem&&=jkilS#HyiIU?FL-~7m$
z0$sj#;acBp9Le3K^SuhIg~oLCv^3+nI%`oeF0+X~rJk;?L=f8CZdn^K-kXF#n-kND
z!Xy|AM*KL;$<Xl^O%N)@1bjZz+!RjBfktx;D#7^i=n5k65DO$3CY~$zAgPICMAtGr
znWcid)*=SX?9}65(`KR3#>UUjM_;TwtTF9$NQh7D*|$^B&08z2UT0>mv6DV@hb%uT
zjg2MyX*AEgvuDctoiW76h}UUosnr2&CUJ5fT0JDC@#%TOkFPQ<KP}&MiHh=ud8swo
zSqr>Zgw~mc_}d=Oo#%Np*!3r`Eo`f+*BBT)Ox<s#ht*)r21y%X9))<rmFp%N0;&1m
zu^FfqGM$k-jDqO(>pnFv4=0x!u9k3UFW(roSV>3((<#SEvwSfV)|ow)6WGp)5xcQ4
zmx7g-*f3Ge-Hk@B#F|kyWegL&C~Z18(RwmOaoNd(%b;P{XMZq%HEUkxPy=2GqE05j
z(jxO#Uo!V->uKXR8hBo*8I?A;ZD{Oq((H2T{KJncARwU13yXw8jcDI2Blml;nPcIn
z>{QsZL8dk}gG*<si%KUHy5gmn+m4lH{X_~XzK=px@l3;4XLZAbXp=-|sv0|e>393<
zyr-M)Ro6$1!%Y`P#j@fe3>nkgi6L)DbRc(Y)`AQ(2Qp<X{2olvmqp5wBrmwDE%)El
z4hPXCkUQ;Deu113geI{Vc|l+m8yNWa>k+~zz0(4faA5_J>mNpcow6kTnPP!LVpw`c
zdz1-U3J8jwLBVL%MEESt;7u8jw`FeCQO3h<uZwt6vsOCUxFd4u;LM0*wnbE4pZ3(j
z8+5wvhQZbkIVI%yaT&t|RjnR3o>%J$)u%uRb@PafKr>0T^=}Z~u)OhU_j{k=wCFOQ
zWiFTa!oh?h(}1VCq{B@M1ZzRU1rN75Bk1W=sJpW}S%9fhlFX9WZ2U#>?hVO<Jv8gG
zU~7ENfi;ewfaC0W`-X~$<N0Zom#5X%QmT%TiDKZIxVehjnYq<u8RllSygHB(WPv5`
z`8hi2uWSw%4Rf!P%?SWQ5j*2?`~BG(?aHt(9Voc;%cVu>1hN-QaopB(wU*`@bbGh$
zPtdtzXnBX#0tYFNM<V!6`hbu%#Bf_-j8_1p-Rr%o5h`#Tn|9Ud@%MqD*g$iwal^)*
zfYkVS|G{a~&;pU6)q4ktYndxVV<f#En+|xqL{YKh_2=!eP{|}Ro&<KcFROc_=J=w!
z4MY)1jh<)ecP^6Oc#JKyOrD<4XNtT%DaR4#?Hx`r*geKMMZ7o^l{{I*>*Yn+$Z{j>
zT8Cbk&#o-Md$CIvi{qi1bzw5`ThFPyY`F3l{du?$89iU?s0|jEW9KL^2R9gQIx5<v
zn|8T;s|0!@1BfqoaFlF+l}AXgV5jPnH&Ub8k(M>B8oHsVG{t=p!l+~&5R6axVO2x%
zVvei2CM{KaN)Zs(0TGyNVy31&R!|}#mz9*1!`=1S@%;To+e7z_>%496SMC1V?uFao
zpxTwd^Pf*eS{|-8GjedV-+rvc9Lv@1knCaFEZ<%MvgLd2n5IE>-OqOWGdp-r+l_P-
z9@jlJkX|=VD*|ldtJ6F_7K=FQqA%cxH=l->>vJ!J2KWiMZdS_}iX0DF&*+>ESwY+^
zRF1dmcsw4>;y0|N59d|$zVHkdQVRy~NBH}1EM*1hy`>ddFfpfJE~PkIfK8J*j2@BG
zEj20Zo*>=d=o}$oYH#egXF9E-K_k#2SQPK!)+YKN`-?5SoX%GA%k<YqAykae@j!;y
z0+v?uaimh!e3%W~d$s3>g~~<DdR_(w{?iFZd*452grOcRZKk_HVoipVYh2IF28`8N
zhdqxv5I3f_^D}e|vzQF<Bf(9x4%UZm->D_>lBbGKw9>RP?Y>zP=#H1pT4H7B!5{4`
zG$C+W8xeoFqcX}V6PI~+O?9{w@C%i<Fgfl=(p9Sy$rIv9H@!N4=};JvXVfBiuZT~N
z1Fe81?Ti%(b8eXRH`1h_7*6cXdQ#f}2mU$Y`3{`11EbGCy%%OXlKi{Or~#_nDpN8Z
z9{dYdPd&cQ4L!Uie^kQRb7*Ve5344PL|26OSjFl5ZXd4>nhwc*Z9z@vXWh@@2Ge^W
zt&u+z^JQun447?KK7hAn^UQDbwowx7w+FIx-J2Z>Rr5JMCi1YQb2P<RtY(y{4UxE+
zq7=oTScs*a{fxe<s<o(Q)HPp~{i?Wdy+FAB<(bxW3;O0vpqN*B^dn-S2Ff~FszS`)
zSsTM=Kw=q4w~WU>qB8kHz&K&S(|AOK>F-6hu#Tj1j)9`Ov~h=4^+sG=eBQ`~8FThU
zOa}g)R1Uk0fmM{O+j4vJjGmj8>vnFs<_&qMHba$HG;}ctQP<;48AA0u738y0Tcd|J
zled+4?b5_wQ>q*wSld*bni~2<l-{7WF7-?3UNh0xz;CUG`G*RuEr$<l)l9|ip7{pD
zC1fSDIL6toz_Ri}5`(#UFV6WFHjx`eE(hV__rDf=xIJwEZ$`@`6%Rt*R`De+8`^1A
zd0?K^8>TtY#3UwzOEhY@A8wW&M35<r!cZ;Ay=~npH!&o=Y|+4p9PP%UStc1C@yf#%
zb0LWJ>Q%-$qpllCCK&Ay97rAw!B1u*xAWrurA2OQF9S3<X7TdKt}9g|*Fx-+&9gJU
zEDCah?(PSNPgPkx$H-~Bu27GGHM8{kk3oue>0^xx{Ux)L!9kSiE~99NKetMWQ3(A9
zr4oQ<2m@1!5i9E1U#Kbb6X;SB8KwtQqw=;h?+K^K^+t;I%wex07cLLzU6eF?rFf1O
zz{ibo@Mf^~SBROd7uInaPnPyWgk@+z>FQt1{TSuP6DvMX*979>u}I)BgspJwCx*FO
zrliAjvaB2xm)Ua^qt=4zP2E=nPkm!rAm0(*f$Kca>Wjh;adh^N;vpND7u2w2sNVo6
zoH_AWHHFEc{y|PkE+E5z?~?skD$RKYJ)tb`s_T_7lJ>AZ1k)&0+m2n2gEU`98ADC`
z-{>$dxooB#ulDlpO8cAOUc9LiugXk#KG0*aJ`ndjvbP?5d@*b3Y)LT`o)#3@v>_z9
zO3sN~k!q>oRtBG5sJLlEUs0hyWMQ>7xv1P<Ah*$_(X{i#VS77-lOsLj6-K*bOb%3&
z>(1%;7MLSbMVJZkaXbzSh1-Nv3zH9URVE4t9a_B2d-JJxh-l@37fl>=sRv6$+ioSO
z@CgyATIyd=JFj8~{`W8-fpop@YQ&ejSZ8Sz^UBv{G10lLOpJ}~;-aJ99Wj3asu$;-
z_W=z}023!>peY$yB`@LpQ9Bt`m+|Mop6S}q+wNSK_~R6%k^Q+k(YwlLFDxzm7|mj0
zm6kkjEFbRg%Ia61&Lz++Ux+a4I{*CQi-_*HaN^42ere-11>+_V;^sb<BktVSFLzhw
zbvHPk`HMr)TI=Hbo^I;?ZLP}_uL69w%h>GGab0NBljOQ<tKorRQ<}UDuR*+HY5`gT
zSPQfCl&jNhYP1L>6!UaBbLkT+Me+MhFLxdvRWRvAIqk;O+9VwUhxJ0E%Hqj}Tb}gC
zhgSyHknGlnV9-?^F|m7al@5UQeO4alC?gB>4|C(k3Z%6~@Cd)LzlgX(kNNcgU6~vy
zb7F2u`l-p6!V-EbB=%j0{VI#2P6BO08H-(y=Zph_p|H{{GPSJavL}5}6xy=<m&?A+
z>iusg0S<qffzj(~9dFH6OY3E@>qLP(V+3O(0b%x}_DD3%tVP^fK1`2+h5IPPk<WZj
zTZKTeM_3Aro}GD&ML=M2k)ao)adH3l{lSgx2_)2>_gRtWH}#C@Ax<%(-6_EqZPA=F
zpZA{2FXx-Ch!@SAUD5fIz|7NzNqOXFk$wX9iVsX6atvmms)2p~&Hv9reCG}GeWU?D
zA}#9Muh6HQ2oxfrLN4SZHU;VKC;jK&$WiKL+b&m7hScgq41tQrJSxJOAXD-fy7E=K
z(VoT$8aEv$4?V>kAt25_>B5$^7uPi~W#1f1VpA8hs5DG+_1ldQycbLAQmsWmbLX9D
z0Ox<RO@lrQ>Qq*rq1>O__cE;&jUe8-BfoH=Ev_No%_bsY4QB80o>xMDMsU)TQI*;;
zG*Q)IebFOb#$D^yS<hFpSZTbk>5A@dzF5p3{^7^kkH&^+?_YbxCMNeo_-Vx@9(VeT
zgqW`>VUd>=KohHfq9~a#%)_Q1GIlU8<#~hA72~1-?vF-Lga_A`c#8IV0JYXFx)v#_
zU3(6=B(!fd9W)MJ8q1FY;gS=!M@P8$ltwja*#u#v54zRoFsM~of{C9l{_AW~)up1o
z)c1H5%o*n#JzOfhF$U&g*PqOR*wuLZIvsyxy4m_z>vC!gA>ws>Ri1ieG41QqvNxG?
zmA`q{qGrh%Ea`0XLoT&FMdAF_;Yi@qh)?m6Gp__#PQ(}%@=Z@y2{<)Uns3TlzS%~N
zGMG=9$x%RV3qlEP1vH-q1Q5xDoSht11#=+a1M~JD`~Zf}JLF7sNz#$Pgx2+VO}U`r
zhO=4r;jDh?ESfTeE%8bbCiP0gc5m1g*R$`7Mfh>AE$u5+lNR!%36<E@>-VDdR4K%!
z5_DXV1;J)!h2oV)sB#Ov#BRlwxDRZF#PBlg982)CK*`Hs>ZfUv=79UYCN9t0Dd9_3
zI>s^>DC5D?HA&^C$6Z|?lFyW8Wm5DKc9qLINS0b6FN1}fZ*7yJFdIG6TuUXiANk@S
zAr6qz<#MkA_Pxi?p{KZL_rt6vt{l1;A!iJ1Vg|}pf5wtr4>>XS>$w6vuyASLkvj9V
z7a_IFrRDX{>IvZ4Z78PkDE2`h#{BS`%_HEiZ@h;8mp+vW#QZdN0MPtZ%Kn?KL{bNq
z3E7Pq2g`qdf&u$jQc$DD{l%XDrqSQUd&AlEwQ5L9{U(uqfAXPS9N=xl-vd$RzrM;R
zl9CkmWo4NP_CEz68z3Gzj>!R7<j;NneL!l6ECv&>S2Wr6-=7G<{eNuIYeWzsr$r*a
z+j*_!9N&$MxVU<)g}RJP_+|-f(bo%nHsjmd(~<j&dg~>DhcFM#jg1Xs6BF>cWnR<z
zJ3RmdsH>~%G%ePc;|Wd{sg|9)s>YE6ioz@J!I0)hS>iu^=K}%(C8Njnc0N!F$>L%9
zEyc(RTrK;eFM2)Pm1-Kf1bue_Cf;L3CdhjSz^u}?`)hz)+5re9Pl1)rJ%FTY{xv4K
z<h+VX!r5xg5{gCAsyVg5V$h@IvK|NUapxZ@K8=!l7CxM2JUA~ZgdxRJ_ypSRX=?w;
z3_y|aTtp8@ZX*IWdynP&r@7kwwf>ke%GMtM%>qDJ|1U)6hV(#)1WJG}9P2f$009d0
zjQwIVz$t$Jf|ACOXK_37>jo%#To-fmfI_S@0KKm6g*ZT)ULLQuJ>1`<Shpsf08r8F
z@S3stWPt8$XA(U7lFvDE5bLJhR({d8mk5FoqU?FG;ACK65OO9q$s!{mF$-v2rzN^=
zo|8#6#u`vyrl_8C6&(M0bhz|(pcJ1f)oyawoqFT2W54y|D?mH@9Ih5*1EN)Sc6Li`
zv+b%#&T^x}?vQqoX9<w408~a~!h~6RslA^o_ytgJ8{m$Dap(ZfH{g4^a3HQ@9T3B1
zVBM#+orY7m&@=V{NtXopbk3@&1c<A(>Zuh}pE#+gdcOS(ds|~RS)5z7T$7$@8{0NM
z#A)})h_DVop}cXgT?82AGM#$#hMw}e?bk7{7OKc@2`I{liABPcnw7OGjHrU@71{()
zb$%}j(snq<y&0b+oU>hvI-o^POCDUFswPG>g8&mK(9z<@#bv!X4}H#917Pk?1F<w)
z)sQq^bVAOd!VfvCGZh9=!=F_1uh(tq)50zljTIQHLIAF@`4j?HwhPi~K4{#1{TvrU
zfP=H{x^uZ2L4AAHu$j&au;=)Nr*Er|0Yc3>c5}|UjR+rq+x5pO7MhX<lFSps2Y|d?
zFJ@UkI<lejo~t%p-6Qg~UF|u3>w|Cz+`u4$e@Y;{tX?<-SD_hKEDD~`9!9}nXcM7z
zJJoK029=PL{=^nPP^bX|C`tY$f&FKtXOd&Jr(F)QjpXF!e%%UuV>Mg74YUW-VoN`k
z7BU25rWeaeRN*&<Pkak7b>t|c?cC0Ys07b3F-HLkcsJJ&hjFLQcsN;A*P{kyiRCJw
zsIoqxPu{)OkFklk`e!dw^U>#B+=R_kFq(|r$Tb0n**wsr>1S*vkeo`li-Xq5!_yH#
zfLz0P8+Iovc(-PMz7pfL^)*0h6;AK8QYuM#yzTZRgvO1(YJRqU{IT}SzwXu@7Dd#8
zaxK`$z#r7WD{FuN$|N&2Ie8~oZn-D`t~@vAoiGK4{3t@s@t^WLP{;*yS=A*Ato|~j
zZCb>kk`-53iksaua)f&|R48m8pu9i80Lg3ZxR=CwskOxvmmvVrZn@p(k#Pn3*IzdJ
zRU<d;r~@Deycxq3=d)WATeHpd|7nJ3!sPR#RKjihOhsSZdsvYjNqG)rI|1Gp`dO*n
z<me76KdWv3HB6vqhr~PnaTU=~2M`SeJ_q1yZD8dHz#Rd!Z&>dOy!CJS>1LXlKk{WW
z9xL60`G!Epsb_O_ht={>aqnrfRymlA*PpD8!=>`70ft>&Qh@Au9VBjHu7u%p0z`eS
z*4xRZ-{g`IJh}H%a-{gBjboiz{j-AwLUig`^a=tY*wBa5^Eqo15Bjm>PJ2;qc1f==
z#1kJxV&}CeQ4I9@KzZMn_52lei!!|5VQ@dq<1kCD?wR_v#nyiu(M;FQCJPF^n_Ifa
zB_SEn{?Ii2Ym|MxhQs|3F5r}u1Sxdj4nX8;Za}3+P1v8DnmUvZi?9l<IVAAo(lKg=
zQm5K{S60<tXYC=Bs_HVXx=tP;X-*C&;%&6JZJUp6G&z_Wo@zCg+6!WsTYEW_R-wPo
zlrnWFC5w)ZVy;{@b+&LL@`kF?xwn>PSH)6Vav`Qckc_s`^xX<F!>qmK%uMZjGPce3
z$~4{$>!n5>4oVj<5e;K12KHddExG)~BTk}~2rY&C&e=FOBDd#fma|#<TDP?=rn;qC
zl~gWHt|}_~Gc#>9f{iAt#t_C^`k3m}5qx)=axa=oozALeCl$z?$k5G7)w_I|G>hD)
z<Z|JU*#xt-@lVDtuz>^S_!<wDdo<EApprQ+(n_QDC(SS-U9f)E2V{dh8bU8gSW(LG
zrS-uCFbWgPPQvBp*srZsb@B|T%}kMx`j-&<F1-CoZwbF240ZF->FE%EaX1ES><}IP
z-Qudq_rP7*W#z4#TTuzvnZLyW;b`c)@%-$E6hcBmys)q;|45B0wb^2>4NUNK2HQQb
zydG}79&SiJqoRXXd%^^-*03jPrhO4?DNaXWQTH@H?aS)+7~iF@q2rEJowNMJe3D$_
zZVD-DvxE#17=^cuDTto$d2Q_!IBkqv89OY7aP}T};O{C%%MWfkyxGWtXrn8Woc)Xa
zy-#Ri|FXaB7S*L&qH*2c{?*c)1UCa)l~MTMO&IUAIkRz3>>UsMoT8<qEN|)C)o5fr
z@*Y!YE7gGcRPoO}`-kMxpCeW}?!y(<&<VhsvHmXe#e-w);N`@(-xC{<A9-OZ<}hSn
zNsuL-Y$K!32A=AX2M0}b+Xe>=(|ZYfW&qOTo?92=hx)v-h7E#EX0dxdw{r^<>574c
zMu(>5&nV7*lWjT%(Uvf5;kIQ6dAt;#@QFim1@A8n5F$1V#n}b|o)C6zV$1TqMcGn&
zSt7EvGHayZj`V`x)n30y1Ql*KMwEG6qk^v;=@JMA$*_s~?m*%)9?}`vcmfwS_l#H0
zQ}Q=?+*qobEi&^pb~<Ld*rrf-vt2;D_O$@*^)E;GgK^@pWY?#91{qOlcei^P8HCqd
z`KnOpb8?rlWE_>dWX&`4*jK5<f(`xN-2r5tABR<u%Rq^VAWzO2>=%f<qxY~{!iTBJ
z1LS~F3t8_$z5kB{pGk|=PV%YNts;G>UBSj`%=ds2j$kBb8|3sW$t2yhQa=hmM7Z!Z
zY61)u`z(DoJ+xpiuc<ykn_)S<n?VYV8H<VykR<CnUXWU;<J|#F>cXyq;Y)7|-w&kh
zt>#$Lb5Q9-W*@}Smc3^d3(fBX(1hO(C$c<=pd<bcIJ_Eq+H*16Yndp#L)Kxbm{<l2
z)k6mikHy$tp(){a>V?17u~Px(AxLU<Wm4UzYGPB%(5o*qhEIWciP;?PcKB~DlJJLT
z)XKBt()4@@T*y{l(nULlrzF%d&c3`1zVf}f$fk6m$>UyBXU1EYBV`<E)g8w@WW3B)
z|0vz~Nsc1idD~^KcBOBai|?t|p?~aJZOv}7<maq!Z?#hfDS7KsKA%caKqLhRb={A@
zRD8H2w-Pt)$&Kn_L}wP{%N7Y+5&djU0>=wet9A$(IqsACCpoJm4Dy3yiD62<_kV_b
zejC&v{IvoNU%2DvELp$#A)b!&PjTwBwdOAY;Nz8UdTkND6xR=|ZoFTQBS~Z=2UOH%
zU7u6EonG>K;HSkaqhVaZq!7W#8CLbq$$1qUf!yzp%rbILqv~TnP=6o#gVK?}|K$v6
zis@Qzf(`+*9?Y<UZ@S5Tfx64!nAY@E*Nbv$Hj`I$CTJAiC4QW7!s*(&sG<BBoHIp1
zC#Lyn8y2usaBeYDA#p<x*N4FxgCgDe+}+a9U)zM!Z!&hE^`=tJYa=NqUFFK@#kdfD
z+7aGipALo=M1`%<dMJsPrFxB<s^^*f|AXCjf8gvPRJ>4wbr)%pnHxt((HmEi`q0JE
zdqG7!r<H6h4IN?I9h1&u$(pB@PVQPU^Hf3BU#2{{YB#p8D(Q%6{z$q`9Y7+JQZYnO
zKngMfkWD?kX%W+(@?1hh4_LRa^gsT1)Q}e%;lpd%AwF?+^+M7qeKIjf1Z}SaswgOK
z)nvq9(wxyFaJrphDeiC-$FdJ{YR3nWP+81Oacerp*-m{mw4k)oL~|2|^^g(cMD9$D
zOE;?0O1jnQ)5d-ovO*-_&P_=0)!9-*FSS&R!lIAmd_qwcsFFjZ(^DnWr2Uyw;_*Sh
za4eX}50l}C(qm|)rT<2ni~K)Hb0)Ep&}-=dG2NI{zhBaeZRp#Cj!GPKU)fIIcX@<@
zl@5It2sl|lFIZAv5UqC3>@u8keNKyKYTP1M0a5rfHLOLOj_2uzGA-=tVhgP6y`N?K
zIC_;c1}MCM@Sp%U;0@qJd?6LQKVUX48m3iZf(lLQa|U#u^97i61ApJ-1JOPONF8P`
zn?kEnBwXX|mg$h04sDC^=?VLJaR*A6QqOt_6T###$bc|942+Hz`0{fFvIZ3g`^T9o
zc*Rb+V?<Eoe#jB5jw96Qi>Yxu{`dmGZmVHQao6=X7!d#jHyLSCyEU(F)vkgqf4jXt
zv3+=a{4nL{=(9<e5LPs>>_z=xo?5~mGXA6m+Qodz9XqurQ@QWn`jN$JFPEWMhOwN?
zVJbj!V`R2+w9&mJOz?}0!>*HcY=ZS(<AKW((?<&OJC^~YP7y8onI21-AKb0Fp8i27
zi2@#PjB_l(_;Zr;-EckFKOiG<B}#AM2GW7vfwHMa{M9?&Fm4Z|i!)tch68MZ$pb(F
zpPKdQD}_Nn;W@}-w&b2uJ&n|p-=*NVi;mxZxIcV2a!+P9t`3+!#$c9eXRDK-_YP7J
zIb~8Shf!r1Er}iV0VHsfi%d?-*&nQ(+3By%Yf;`!kz4RhQW%rCAHnKk1e)Cg_7^e7
zVX59Q!iyj8(QOA`a-;Kzv41(}MwAg?{=k6^cS#nLEwy1e7Euv9p+q1@wHwVrS1B|d
zc>aCp{;bT)W$|O>tKE}gCUw-g=R}Ham?O3S(gLFXr3JVMST2c*IN~C7DJ@-$JJBTF
zco5#yyFJPP3joD?#eC`!QihJF>t0boCh-z>NR~ChJ!cDG-}FaL-oGPdXM(g2e5Y4t
z0=<2t50skCw0`5EOa-iVO)+l9BAwBsKEC`{D1Gj7afX7N^4VQcSsGBT!1!SSmWxHV
zN71RksWC0A3F~;-%}ZkfDVQL@EQU%tm{;lL*Iywh1hQ#o;VX9{!K+V=Yp6-!xg%Go
zSa9OtYNDS6b+><VHgSS6bY%a2ZTRZoV4+D}e&~%3U(c%q)_D7XHoR>~8~Wg6N3j|X
z=OaB6UaGQa@Xbrt-uB6~Q_M1>6+8a4$!2)A7a)6nj%KhgNtq>XQKgJU2Z8al;wUC&
z*viVon`(9W)k{B!1IoFVokp_OFt#eaZQ+ulMjda1a+3y2MHd^>Y{jstu3AI6{&Qnp
zL;k39Zl8zCRdjlB(+$megjG6)D2iAgq<TP0Y4YCsE7cZa3pH23qY=x*L$ZYVzr?5t
z1@f=G)ELcJ|0dS^1qF}1(Iyg$BiL&UO4X4I;31G3#m_5xdW#v;L;9*yj0A2Aew?)N
zp;%}_;E)c|3$S=PZFYZJeDU-;GskN+&i5-)jmAA9uo8h80HaVIK7F9%$Flnl_Os-V
z;`3Vo?#rbV6FB%Yt|}N8y-IB#!b8hJ>X97MOZDjmKtFE@4~L*8s-mJ6&6oV-&Y|z=
z;-7`vw33z7YFk55{x3NryyNe3MoBx1)jmq4DRh?<FZFoG>+TFMp_RiXG9Y_H7?4`9
z+J)Jo|1yzIlIcw_?L5y7*c}@wi9jkd;?+&3bi+0)FK4i15P6xnN81HbjV&yxhNl&O
z|Ajk8+7YXAP`Bi*KD=SRc$#qd`ge=eGb!w=;4#ju?q~ijpZf~GMBte)^`}PFAT0ni
zD$3G{;QcXrYPEABl<*sP6EgI<#WK*$A14kHANKxcEk;%(U{#jtDZzF~zz@^+k(~GM
z-68DnAZAm<*iLr<d$WSUX-rQ{g^X_i_Jk*Wo!0cMAF2dT-{j5wPI2{0A5i?c#FJYb
z#=Y=HNX7~+TL^4T)sqybOOjjl7qstWncb+?iHB;~h9SdHuVt7J=Qho%@7wnaQ99-2
zP&MK!jc{^R75&a~2E3wnE|k^#b(+@n<qVTA<$_Dz!IL4O!ld2+RCt1<DE-IcpkxKQ
zy@oXEI=XZq2T5X6QzuXHP<mEf>@0so&8c{mh@X&`Uo{F1q`8st8{7~Hl+r5W4p8^m
zyQ()qg`F#FIVU*VQuDIseL{7G%T~ko5r+|xq5S${TvqT40@fYi4ax1HG1YND7QP({
z)UkUT(=cFBzV;HmF*zzm93_E?C$(ae5x<JhH+UNjHk3bn3(zI-V5NvH#+V2_%%csm
ztG5ShW!X85Oi<q>;fDHz&DWl<D_pv)HsTpStn6I_#*oYR!-*aFFViya2NsEbG*3F2
zt60fMvT!_Twgw6w%a0=IDW1*`WsvaOatpc)W1E$TLsA3~uQDEv*WuQF`OJ3~CSLa!
zsXjAXY;-7Tc9^)3O6j^6cbN(ZmtXP{j=I%EM`vW$oFtpedUyaRk?y((B8dBaWqCKI
z?&nKK@S@A+@$hF<9~$S@Us-c;Uy$HpfKbo8U1<4N?I7$8H&~$S9~yo_%X@tArqgzR
z4a2Q=Zz8z1vL5~ejpj5K&OBfY^hy_o&GH<r-pl$m;&ng1OVOuo;#a7CzcX(Wn2!<j
zs_bJ6qmiR$BS7=<r({K6-2=qqVe1Ve?@FeHB}NTPkCXIQfHYv2i6|~NLM|Of-?R5Q
z!GU>ThMk;w5)WfH#sMbvmWMd|eskjK4-1)Vm_}o;Ni5|bVYc<(euHY^XkJx1<1!fU
zg4r!yZ<KLX<vrEn^&|4eGqstGf~j%trOKUMg8*fcW#pTw5--=LaIxJd0k`cu^-ib!
z&9BO9?=Mn)8>j}^(esF-f53+!96ShJEIr&O82x1LuNArNJEnNM+zt>pkda9M4@S6U
zSp3XE-PC-RA+IKB&Ah>r39Z|flc;JB6JrSSZUbiO9VI32?_Pw(d`(}&$~)f*aE5-U
z*rihQ)<Qy<#C(o>Y7?Yc&*d%oGGxv^x&Ax=yniOoNe|`$mTnmAQLL^U^4!p}>a4F~
z9g6{=1v{#JpWy$LNM*B&3Nwpj?-Hai#^AIMHX&pi=Us_mo@Rq^uZD3gs<pUspajWp
zTP&KpepMf5m2&pG)khb+Esx54*3N14Mi_>7dI@l1&N}B*aFMO|QGYJoh9}`A4<<_I
zcE&X_(pY{5o{!jwj_Y|fURn1#^39z4gpEq$z^f(4$r;IsCa_=aq7&Kd@!PJt+y+Uj
zLPP{qm(>w<h@P=k#ouJ1<`Q3xsbUYwLm%tml$zcsq~w<xTo(k9>1k(sLm52TF_Psq
zWrDudob<OF<|sb96Gx|PW)rVZVUYp^1*-uNitnj6^#r_3UMmX)2@V;0gG*o3)d5@$
z>!WuUA#(Ds=($en9l83tLk%!Z2E8J^#D-n|CNKFT)5R|jprAdfIt#xY5A_KX8&|P0
zAB+PA)~MT&^aZj{$7Pi@(G}GQ-0Q_!8Qiwyjb8{96p}~{Uvb?`aWCY<)y$ei<?U&7
zY3Pas_SUPG=^zkcl#|s${q?iMx%)6S><it9@=+~Bj<E=a6^mm<n7#(%r|c)UVzfXc
zi}WmY=-d)aEURkA9zM&T-OmvY>PRPhxh^h+oGE43`ynEtb|W{_7|8;bxq_oWW8@&|
z6>N%#i7}64PQg<B?3(_jhuIVYJp6@9;}Qgpm7$3Fdd$tLT$}pNhU<R|OkSb3n=8xf
zP0w_+Dr3Ri?}_`SJ;tTEv;l9DdlZ>37gLlhwR@aRtp#p8uelPgPvtAQFjBbtG;#)5
z!KT#H2cH!tnHTWbsd^CD+x%ww{QTBG^2NJ27_v$-wi<wX{d}to_=PtBvR*reycQpk
zsVy<e_UXgv(a+8_+UExI5bj{8WniG<bQMJMM5gL{{4)iWuw}XK2(wd%V_veN1Y{Ej
z3B?JHw$~?`<l$OyoDemWl)NE3U9BdW1bT^-CEDS<jwxcYVYD7KR!l>_6uzsect5qO
zFlL4MYN5}R(RQQsV|Z;9nA-NkIe@Y?_(tErc+6bUn7q~;2PElDg6zqxwk6}w>7}ue
zdwP&6=zP0(b*iV&IrURF(PyWK3ick;U}YnP$i#DPC<%ljblK|zUQ9Ou{G+Fv@2md9
zJoyaBkjBE<7<u6lv?0YlDwUNv+CkSRiZD%eXhk2`CglF9FMVkD0`mBMRdnuO<jQ~O
zQXxtzV3G#uru#Gg_A&l(n*W1r_@gFeVqpWcdKZ)I`#-MMKl;>B2H=Z)C^n?|$Nl7j
z9yNuPg#536G=)E;?LYO$-?B|X7Z9cBjt9qo{Ig;I^iutHt}1;5S{!$|Zo2gc4g5K{
z2Oj=BBaZ%`_oHP2`cvZegx&tHkodb{55U9Uj7Y@)xeYnS^S{ehnzDbBt!UN2N6Q`S
zO_f|ZFAH+O8G>H-fOO+@xVZmtSyfr7ps1)V2-DEe0H{@t9MMrxEP#g}@W`vSJbKFi
zp~U&vkun2jWdIdl100|ISy-YAz`Fv7qvPhVZONhNsm_7e2+!Rr5uQiI>5!~rXu85P
zRQ0!NUl##JdtH>o;}>x0iI>=;$$nB*x5aFdc9Q~dvfuDu%%1|rP;NSadLIOwz&k*d
zDPWUX=}BrMBWi?+gyj=RT2o~F_l}Zy{~z_LSYE(#t~QO&rP37jQ1|1<k4vo{o!<-N
zsaMC>w>2+toxkUoEVc2`G#RAzjbSjZngG812&RNO$M4A0mrFIO9K1lL0F;du08;?4
zzeuO$P03H?dw{a0(E<VkCgwHjl2?0Wu^rs6>Fj|PJ888)NJR_;xQnUjlfY?j956D@
zcBh$6qOe{V8XJp<in@8&0NiI8Abb5og`zV6`0+hmE|b#vv=%cbM`K8bN>EgZxo~v}
z4okJNg`qRY2>!mH%@6gY^tj#T;!o=>ZWmZBdoL#e@^8TC=6s*WP2?>_C_rIuS6|2z
zb6U()n~q<Ssh8`)X1ptRzuB+5`Zxx#`X9fUlV~Su_V@SmIvuP9lmM+1CKwcgqlJH*
zUdPGoV!x-C4=cI%mdD-MG#-=A-d@Dg{UNaTpxw;-0$_{)weeMRgUjg#q!mL37{k$6
z8pWeuz-|uwZwCA=+)sMLi9#$6fL_g2X=^}4Z*8(UqyvwqMmxTjfXEV_iZu%`?YG`@
zxN$mq5pd_f4|`w~AAuyaY^_<LW~a{6YFw4nEnWkTHa^iB_p1}Yybq~LC-8igl@*-$
zJX{y|`eSNrY!^N?Gh)Z2i2O(j*WvYUS^hm>$TgWR)uxHP)SEo!T5><_r_MM!ovJof
z{ER6vA4~k)=czD2?7VA1LlyZmV0_5SwnjA!;k;TpfUwzd++^4v4XBwG3yo(0pcF2y
zwScn9t<F^#h-zreCbAf)JvW={5)Y(9M;(Fz_Go^fr(>l8G{6_l*E>Z8n74lPPirES
zdcLQPM|-K&wUtL@`;}dBZg(r1p_}P2+ZsSCjk_i!3Gd6TboXb<eTF|4Dxa=UG8PY?
z6mBjY(|TM$B&-$E^nJt6Ec><XnGmB!dSax80ohNd$<cBZal`I(V;FFw&(>M%MoC{W
zt2NlI1IgGY02&Zx6(mIYD8Y#9rusAdj&K;xpsl&Z7PlB_JT8rQ?>=wC;2!}l-kkjW
z)i~75ljh?dLcs9&C?C%UCjlDT*Ifj(m(GCHEO<U+P)tAxW!et^A$FMy1c9Je#5{I}
zQOUGNpFq<qpZC>e&IoZlCyr6GG$upm8!y^#_tn28xsclkRc+l%FA(ePU}tqg_SGnC
z43J$Vn|sOL`(GX)oVg8iOxIhS??HW^#1GV%Putz!-y8xMHv-U;@Yw{yr4pHc0!DMQ
znQ}5vVn&91wg|A*z$tdF#ykMVv1a3eQt*~L>q>qTbHWYSEJOC=UXW1|v*7YE65sQV
zA^iym1A#Cr*xEZgp%_L}%F+6PmkQG*V_G62BGH2vwR2XTEkpXrSxoWw1PM%qH&LR*
z>VWfyaYg$IF<f9zJw_|p)5X!!?%WIaKs!D*EyYc#$}ezyu6ru5xaa&`9&~(G#rg%F
z41Vr)uWnLarMP=nIcG&|6&O8Sw|-j5uC^!7c;sG7L3wyF`D%JGb>3H$qZo5BU;Gyj
zQQ`Er^yy3<+ym~9MtcQ1$aqeSM^Sl3>#g@Dv(af#*>oj3zT)<drca_%sU`58+!G>;
z4;SVH;}xa6$Wy(N;~vGRr9_0DDgn*0@(|xq&sK5+j{%>Y&{Pc;eX(QAeFM{ZQ^j*5
z&sS73sh@5*kTXVG^87QfRW`Gfu3VTo{Cd6auQn?xDuCcy?NJB^pM{<$n*s5qr*2&d
z{+Id<=>NrV`&*cp1?7*ux>q#X{->y+ed=>`#CNB%c0II$mT=orpPb>cfv;exUY3UH
zoM$sYlfQgvH2Iogb^ZPRWd`-P@{UN`ov|R^DztsNX5$f`3{GOqFn2BA*A(8H_i<Na
z^X%g?0kiO+OQC}fJalEdK?23aSl8u4Y^VMHA>Evmhne{5RKZ#!k4pNx1xyFRZk*fM
zpaBlcWU$4D#Fo&Ar%ffYSuO1F8aC&j4tqocT%Io5qKwt%lZ>|3<a_5iA}{BA%3kS-
zH`YL-qMANl`1G4!XuG-3qb{JlgV|fCq-Qsq*m}gNq9+-czRZAu?*mgD)g;?bWWY0a
z3Czkm3+P9YGhlyK)w9IccQ|w^vBs%>ce)Of%C|x)JHi{eWSJ)KAL+fmwvW<sf5M6q
z+)+sqk*m14a-n}SzxxnNZ+T@xv8oD870BiO_UZ%gIL&bZpHi7l3$V2;MK~SU!eksq
zz`@sP)WWgX68>SJxUFVqx=B9BOpy&N>Y1>n)K>e`@|5ZK-vYo_T6c(vUgXJUL{p>H
zoaXy(dGlk$?WiM5(v3a%Dczh=OMOV%&NN!$cf!;2sZg}097)VUr?d!X1~0&5l8)c3
z9iNk8H)*3@q{4vB%kOlc1;=bU^2TvbtOc|Exs1S-A*&MRJK3b$5kQ}SzZ$#5WXOfd
ztBH|$6I6wUiKGmaFki2YIsRhE6);JW+3@qlLe72$kgS+=vN-~?ETORb9Wm!keR9f{
z&b!R*X|0uG-p8F+ob(?R`)Nb*8reaY`|zgb7ca}7;Lr0lN|*HYo1a7P9QI3Aa1ZWT
zlGc>rJHt`ha=>9K92DspX^n4q%6P5#xp>c_I%-~Dn7zayQD$J+wfUZJJ-xRo>r0@&
z=~Vc(xq7tU5r#Ws<WLEt?)I$E<0dsJyJYn1yVd%@f}>7XI}?#o@aZe^7Igd#cxS<5
zH=P|CaOy0Tqx0?zPE(ccU3UBS-P({+r45Jl>q+ZDXCodo2dwf3YUXrVvSI`i(N6?M
zZa=+lS4k%5fo+5A8?d_~s6j%nv0hK=Zp*=C@%-Ue0)>cus59KhxIJmAh@&k;L@eOq
z&}{Q_h|ET_gfDJ=3#Qv019qxVi4~bnuD;f&pSxT2?&NzlcTOc_mLCco9BQI5jeA&q
z+7EX)nQ!)cxy0NcbPp{Zt-C-ia2bi{=Lw*+(aG>*Y~$k!<7iiP2x}|VY$g&}%44}@
zNocben6JAiZ>{01J%TLl%-V@K9z5K*P6y|JI!30x%cjQWw-2*;ta_@@q^$aFusjH`
z98N9cvIttww|z3{u=^BGm!JTn3sgKg>~vdskq;EeQ$Q?M?UO#7ER_xti#<CTWOCzD
zE<p-xj{+h^#M)Q7-_-*wW*@cC8e4z-ag!YfpnSgkzSbKYejc4%AKMP>8R0bOc{YyJ
z?<r0G38b!FQ5=d$IQBM%BN-IpgEA*G)$2U9c4H6*D_$}r^KOrJZ57kYDoSWDSiJJh
z>L(+9X7s6Wp41yN12Z)Ju^ihxPqp2d>&eda<fO)5avKbDD08>1=OzSAcZ;)gEiYzf
zFBSDlPWBaJO0L(V+-|7fC~7h+x?E}s?P_2ew<lIWqjB1ER^ODA2)5vub()(2+c3Y@
zom$T*FSQO2EdZ2MU0?N>+N}HNeKidsW`P3G)S`*qDZ@Xh=9W?~)sBAHNSG0Yezg7J
z!t3GUs1yC>rrFD}i?0pfYx*<{Aki|7r^l}~y9wIZ$)Ey5&5Pv1;IY<D<Sc^qeAja`
z_4$GB0IfW}KG15L^wEK=$U*e;S$0qN&Mowj!rq-FYZVhI?K&^(b24j-`~BmPv5`-j
zE$>?i8|r;o&Li%UPj)vtWwwjLLwI{Dys%y*yy@Yy>d?7&cC7AtpW!weYb(7wRdRe$
z$vh+4_IhoMTJm(X6{r|;A2HT9-3$c4NBeJdg`owyG~lsW;Rm)a)|)*Vjets0$U%H#
z5io;O^w`j+IJCiOWPl+&&ME!3d$S|{A4Ff<oWmNsy+UaB=jtXxKvUbKhzdBzw^NBP
z-kX>d(6Cwe>Zw#+{d7M+ez+WacB7LTvm>?4XYHmE1b>urIyM9C3->!~p>TT{{w>eb
z3-UH$t+og9ZZ@hbweFU_>MP@}od@CE2ubVkp0+1ie~A$jKMGKn8}!nTxK08%O-Kl&
zCW!DC`jLZ!wc{W}iAIP2026bW5DNi3582QV#>P*;mRTy*a?@L&w9~FJ!#NAo=ViqX
zCBnruu7sU)eLyh=Q<!H|k4%5mFyD~<`aX@qGncQ-;4Or9x+<sJZZdIjE6^;zu0&>P
z-OIy?TX$k-0ba+pEaI}@)>XNOE&xkif2u@(qSMzbS<m|Bxf>IQED|;C+(flhC@Er1
zi#bY|<o>H(%|U%adRu+KL}xJ~>2K2{d-e_REWH&Nk7S)y{?{ITYS_bvXFLplGjaOR
z%D^NPlX*X>WqyvNl!IoaNy2%qj{A#Is~$tSC%wqxoY!ie+b!ffAhw==M`0@GQUI_<
zf7^Pqa<ZM0Gl$AzB~6s6;p*3%;q7q0p)WPoU?$!eTFq6)vv9cxJp01YMU!7Any2Gx
z)S>G2ohX*^h;y9iWwf=*p3eind4B34HlHD9xose;NvbcY_+qdlYALl~!l*eNO3IYb
zg3}JVxd04zlTN;CHpX=HWt=%AvJw(2Qve7YNot8IPEu`SSrRSwdE70lgZ%tDqF&Wp
z`LDkkBlHPdD8Uh6=i>IvAgMgYQ--GJZ#+0(zw2DiG}vDU%5DNqi>=8am9cwNu6d#B
zrTe>^ISI{7EWyRi3@@3K;w$<NJKee1A|aVoB7FG%3@Um_!F&S;zt_Ak8is~)6}eXE
z7b5LQslGSa0(D&1mKjYF{I2uiJ&lV}nct#x7G^q%lVKabAnMZL)_d`i9;R8zT9d}a
zdb_1uZL{hkB6TKCi~I0m+tUcOFLSMq9gZDIh-extscuI{3i>&hi^Y5_5l^6g;4*Ot
z@m;6YCZ{;Xta8S-m@E;YdRSW6&|c$2$gQ!14@`Qk{sSFYapXX*#n%19!2SG)N{&~H
z>rzPmgcX+VtZrQYs<cq$c11axAVPZGJy3uEPIG6#N4lZ%?j30E^v$>~rq=M!tIWr3
zvF_Nf_m|9;N_I>CB2SdaL6^{005elbCzp4c0a#(EPrmKpYQ*bxjC!3++8dqxPBWbe
zraB~Jk$5dYM%5WkjRTO6txn^>qh|ovtNBBaJK(T!mvMRlOBc-&=XA3c1e==fQC@DL
zoOjoA902B41aD9;Dr(}dM)70y@fr=RB@<sQ9Lxlo0b_LgdNqT~h<J&4rwg~DZ`8y%
zm!N809C{%uxL3jvw=pErK{1QhB`?TEXY{?Y6UDUze?Ku##tQ#*D6*NdtlmqT&P{hf
zb@m+dX`9YsxrkDF%CBn9NkR2^eJ5d0@V(AGhJVZEkH#h5e9EeC3NWe?yaDotNgO{#
z?oPm;5B4XE66h+IXKp(u(F9vAW3>MdbARC$_4<8}!!V3GphyXdB3*)jlG3A~gmg+H
z-67qKqJUC@fTSqhNGl*%AR<V2mxO>w_iv9J<Nf_Sf53CDb9v@+&b;D|eeYOn?daE_
zxAXs^j#FgGX#KY!^FY723ScoaBF0HO2=5k$JdUe6P7ML^<$fDJk$4`t-nH~1DeoS#
zCQpc3u%vOAi4|L|ysFdGdUzF?JeDQlK+Jon5L6K3`KfUJeWVWfACDvBDjpZ|l_+;)
zOqWbiqDBh{UvP?N)bBj%SSXk29;S$|4-^+pbM<~BR~9WsP*3#zeciB;(2YHns54~z
z>zzUeOSyVF=g%G2S$p*MVVX_(RinD~Wztg=T>3U|LN?uFR?U*#md}+;w2i*Kcl;5v
zMNh%`=RXUM0kcls6L%NX4aWTVITD&HKJA&+&gw$hO#eNFE<;;7O6?Z-ZRG1+7KVR}
zrKvnl*D^p1#+<KL6lKKT1L%3kC2W>GS92qI06zgxAy}L)B_-t<V3IfDQVI~50}X#B
z4l*osIiV-rn4H+`q;7ZRi1KDlbBrtvC%Rt2>mKR<=v$UUd#1OK_R$>~8kYk_uRNXT
zi0K3`=DeGNhE5mBPTA7DdTs43d8^Fr^rHN*LD84q!JKpFT=h0KorEUa-Y4I(SjVjw
zsB)KzvF*E6%-}e}+~&3}?_6-KKFX$w)%3aJAW7{ue-_Dpf3^$tj?34)d@#iwV#lM7
z34~J)31eCpRo10#M5OS~-gYv4f#WT*S-bl_@M^IA<CsC!(t)#u*5Nk?V<9O}%%ap^
z+hr<l^sjctTLyIUbHKYsue$*V(r3qY9W5&-cd@t%aK>-e`>ihyUN4JLNfp|8ap6U=
z%z-t#PN~K1CMI^s*KBQVt$nj?>QD4cF_Sy9l{=oA>p@;u8vb>?>G%tW0K2cBELC}4
zs1C8Fy3<h2h?;grH`Kq(6Zk478mJfhW2!uxT&uSJ_C_V8(>G6LR>gqsj7}=V^S+cy
z%WLj|{f}L8syJTKbO}Ee-<Mk-Z*c@IfcAb~#Sr(s(${_qqUhfBmJlip4jw~|i^4tP
zIuoR)01*8l^3Dhm>4J!5JL3p{vKzk4s6$tYPMLa6fzG}GwvORvto0C`&H&E9tbW|l
zKZ-<36v(+Ln*EJ{Caki+{(vw?Um5vjG8(@R`epTo089m^g5g7awHCxK^tnYVZzH3%
zdaU?I`NEfk9Rl8WcbP5p{=hWX%&5f1)ucI!zkl#}V@7em*SsmWm6h|ZIA$TKRDBnj
z<XBJXO|?99$J28gSe8Z0Jb_Mdz;DSguuuf%no{IKoD@%U{V)f45o6`;HDPUPV#4^G
zFLCQz^u1c&>5!zY+%t9dapm^pe_~b1ln=;qyCLmy^R<*H97N@kUwL1Ag<@exjdE!X
zpfZ4GRemhjLZaQB4S^fL@%~a(x1(8=i&F-AM(lXM;7Yc#*M0SX*!0VPQo(;dAd?{C
zYbD9W`|I!iM)E&I)7IslXM6XA_vpW09^ikt5#ZzJh^K;H`1GkS`mvYuko3W`=wEqn
zHBM|wc;3gd^v}Mehs+J5)wJTbI)OY2tf!e`M52Up{^&___8--n{~ib(0f2yG_<8Yv
z83liG)VHuPeD_YP#ouxHoh-jA3F0o&hFy7okB{FM{3U7eayak?!*9RvPwt(V5gzs`
z;-B2>-J7&*Y;2Y1vs}P>Jd{HFEwc{`XPYoY;uM&0$-V!dhr+Pkq!ki+{kcVtj0goe
zM}I>#hCeTDDo-mW_9m}N&F}E9q7z}5nfx$k-~7)Ls!<{cFa_L&Lbu4GaZXZbm9hVR
zNMbdF<h41?u@q8`33{bA6!FG$;+co*Dr`gUFbYHL9sYlub^=sqzK-Ta7?qrpxE$VD
zLQ6vKJa9Q`ow7g6pV%1z$!&a3nmOzQAc!Nj^KrQ7PCWp83W2?{)9)!~yXo&Py{D~f
zI`W2D-v#xfN7t_-w`Kn1oE($?FG-=_sef2DzC0&|j9h3DQ?h8kh9+{qEEj4LE3$U)
zKeLlVjXQr<_U6r8&ypS}*_+@;%!Jhr$$FC)b5)8kGvn$~cXnm|9u9O0{u#nAg-yUR
z0mYm|yrFyjz`0>Pj^MAVO0(A*E%5Y#x<-v#0hUOGom=z_X`Ska+vnds7glaQ<n*L4
zB1?}}GIp+p{J!e%#|`@bVG;f;10_;e229U0%>O+3pAT&3vB~6(&%B2J?tovPF_BpG
zKR%!6|6Nx~v#^LYUu$OI{@)tRlK@x<GFh{f|M!BjQjpVaui+;AlZ5}hyd~kyfd6_;
z{_CH8`{#q25O&8cMqAeXS$uy!Fwqe!M+W{HjuEWp8B|5S^eqLNup*?c!#`3|c=Tdo
z`d9wEE_^^-gPlZsrYi{L&Jq#h=U$tsP4Yv=e~Fo@Uh-@&3)|2?qJMt)tjK-?m0~g=
zXM*t7>FtV2#YTOkE^_n2xOwAY0Py=YF{H#1$10Jnt3jw!@;GfqLvGh~nyw+eNk`3t
zpRsOXe6F?2WB1%mLy4c;YgGa^gC!Wcf{~gx^e0M97h;;N%Pq93u0PV|V1MV1wMQ6k
ztcf?v>QW}B_tzN9x<=Nmc2Cj&8EX~WmCc&$W7zwm&R~}Psx_}l7COnE2o~q*rsm69
z8+~hgRM<Wnb_Q`j464M=o|P*M*mDUS@gkW=<U*?Laxe_n;&H-8Hm2X0X9P94D9vAe
z!Vdr4j-NeYR^LB69d6<veZXjShu#4R>x02z<{FHff8tkMOR3Nx|0o=B&4+hg5m=py
z6nZlB?H3%BbnP2ULtKRx5`6jwEoO;kS$B?Tmi7Rl0(}X^im!1gE2lX}0iElYyRC?J
zm@a&lJL;gG3y+0iG3??>?jp$YO(MIo$}MfxT34BuRDq4BP%<#_bX(ed7k-a1>=yw<
z{c~-t@rU_G%W(&$jw+mo6^Mjlp~DZ#++SmIxYM(^kzaoHe}3WHY<(4vEJr@>iJtoO
zb;}p@O4qUF!?x3fmVcKnx(=WCx~@!5N4%1)iUd2c(5N`Ml@gNe6udjZnh@`qzxRha
zV((IHTY`F7wB6Zye47lV*`tNnU9gFz*eNRgkB}nk-MV^F4@6}owOMM0tmu7NS@7<l
zE)DY<Q`!~#cMk*8_gYX~@;Vv8lv~~_C=P(SgKnci%7Z_lKI~;;6oSL5ER8aC46iM@
zA6_#n2uaU2p2Euvk9UB&s8!6!#FUPeGqCFVxfJ~QHhIoU4%I53?BAzH>A{FT-?8H>
z`7B4vz+ep0P6d=yR~)eJ!R5=B%lCoG2Fdl=nYPrO)mdY9z5Au5rNFDMVtZ5_5*}{f
znt~xJ5g2w)1#|#VRn~4#c(D7g{It>K`?DjlA4U_Pcxx~AnjJAELCeSI0#0bMk7AP0
z8gOMQ)&vCwpMX55O{n?pw|9>~HSvXc%~CvMn#8syqwe?ZLhVj9LoN;~CuKeQUhOh0
z<Yv=aG<6;x`~`=S5Ex?SBGV>{{oI}`<<w7~J`pEpWPsWpu?@W3Tjsp=>nW2+5FdST
zg3>7Y08*Uo9UV|X`)<>M8Vw41aX{abuTya|mb1nDIQtS{8Ub>Be~51lsRt5Ro<K1M
zs8l}$t%|}6yd&!cRk(?<xu#flC>W#wY7F>RJ|KkwI$CB{ZEbCkdba4wQJ;}l<spUD
zc@A;?U|5%bLWv8;AsI<ZMh0+P(z&RpC>Di8>9=#YjS~|RZoaKJ)_d!PrhVnuQPp)H
z=8V_UxL+bC0)er1|Fr&7cve8h^nlcrcvso15R9+r>7m1e8HI}o;HF$_(gjneMbC&!
zg(y^41v(FX%Ei{H>-u{S(U(!gcf5a$UX^5iZqU-OyMZJ8j6gch{s+L+tp>_D=yyTO
zq@p(dRPHjtl|rLXgZjgXGesLhwW>uQ27R(x?HA?q;dM0isL@#DOVkr042|FJ<FG&?
zn#H-{XMA<jkNZl@v1Iy!h8q1Br8V7N8pQ<jFmJV>fTh(Z3|eVG9_;G?nA7aHsVbkp
zPjA*1nuO9~v(W<HEDRSXY_M_Cs2bE0K1?*bCJ4U01npT-&sB%D8uPEzR=Zkwa*Gxt
zI!vbK<|W$|K;`?u(!o3gh!9ViVv9SfPV+qmexeg0JpDj%>-u7Cik_Y-GyN}H5kQLj
z)1Zjo929ZnazIcE%CINX`z$%(jZNj?APT|c3X`z%W1t=$Y#t`M-dj|}(0wuDl*!U?
z&7hI}bNX{r%UEcV=>u1$$K=<XL5A%S1;;oiruoX9t?tF*i{B$hq^0kgE{-F8fq_O)
zvYJQqsahmK{m|({2a$}{$^#orP-lC2qzZHlD)+6=7)5nCgY~^D4~I~1K-U}8lbAYx
zTs#!{4bGF)B9+DsVdbxqgx%t~_iuNP_j_u-4Uk!xM~LaKM;J0ii*Cl-wOcHsMml$(
zTn(#udu_f-`-h_p>BU9T<MP5LU&q@!<n?+d(i1grH|HFZ6lodpH;0qN7&G%^AlHq&
z2c{B?u{;Ti5rfqMYQM?F)b|s@r!|Ny)pIqPOYK0rr7PFRrrw&&v^kC^&_><WM3U>=
znpc;)CW&5mnhe=MaoL69A5e%i<gw|!G}!iC`3pa}w1s$WbL<`c>tXW$<@e|${1q!E
z?@rfRd|+MX=zUfuPRHXWFNu_-#TKjZnpE?H(MqU9&$(>C{l4qCnaBOQZT0q%OSNR1
zGhKOYA7utg%)f%PS~%BCS|qHE%L&WH4Ww?zPEvhpH;5s#7j-7qTKJkQQ|TQQ89B2Z
zK&Fs#f3_oY;&#234<H+M&V;XMSWZvb00sejD1g~O|5$-tX2D$Py>*A1i?sOEyOpj^
z>~zS&bY!`ARicm&(C+S=mm8>fZ2L=r&#8rL(~fDym3^u>A)mm%)*q+E@&&=h`{T%I
zU4O#iexUYR4_ABC<9&HI1oZk!3R0{Z8uGfAZL5YagnLgK>l?-DPW`wB+~5sZXtOC-
z@69yDZ?Qfx(-({HIuxD6DAA8@x7^&u#~)Sltc`z!dV&Rza33vLluQXg0zu|uR7*3_
zx3A9>376|<Zgtw+M)aCIEYK=pPFPfk<37SwX#I5<IGYhG5dE%K-d|8o+n(wn8EiXI
zx9#;6G}|cHCdl?7dGZOh@J-~V2$%Rk?4hg_+LR?CI(jM*aapS6<}XTl$}MD=G@DKy
ziz)aIN-;>ex)MG8M?0r4G~pDy*|uuoG5f-5bD+=Q--maBiRpgf^z7{Hrp=bCFO-lH
zuGd0sY#N{--d{yGuw>@U#5=OFoO(*N^F4(u$$bq-@$DIgMN)a&BMx9_@hvm%ybHhw
zN>Rhax<>FfQ=R{07->uKiSecqX=T_GV}A*mqF<su;r){B!xS^uF-w>f(2K=2Kb+YC
zoC6PoVK&E+I~ZbnIp2%bl^_T?*O3|iZ4)$e5NBxYAsmg!=I`r*<YUWOL!&guiwthc
zor!|I#7|wf*B68VgZK4lHt<T!n$HqQ$_n#5PIT$k8oXv4RXE=wytKNVmwj=s+MBmP
z=g?9<m-NpM->j1zBs<_^v^EBfLJ3P(n6n@>B>;jrjYsDckPoG3nVFBeSPiBz-U4vC
zz*h#X#^CE1(+Xu}Wnchp0R&>X>V<v&qh9BzxHy@)i=UCwWIPXUrSnD26Fj&6X*_hN
ziKD(Zah60+{$i<~&G+h?9%JwB&*%_jIX;-Iel))ciKFWgQRlb8<ccnob|ktbO{ugr
z_5BiAf#;-C#9=9FBBJ`K+Kq%L>TmFf45=G(8%c_ZsV}(h8ohL|zacJ?b#b0)k9#N)
zR_Dy^pFo74FHCcGbq#qIL;kMPZy7J@I|1DS<%Q7JbW{4zUvBGuurSWF?kNxU#mWO(
z^3c(}l{6U8$*42DMg3(NR#|tx&T08Y?xNWAxLDi&q+~%Op)L<OU1CojR|qn=^nU|W
zT0>;sA|D5&l2_o&c<v2iK=C7ZbDh~d0PJauVhN`ar{-%)Ur1P>XRWaAIawpS$j-=_
zKQ_dt9qUpn-6y<Q`JU(bCx9`_PaJGEh)495^K}9UW6z$xweorZk1$)GPC43p4UnSl
z0IgwRVF5XjM*unD8Q|)xYPt5WfoNr}6VP&{9Idt36?k;uyZlT<tmwh|6Fz{pVn#`n
zNb^QtsyAVyeUK3K1mO+K*dNAGj-OW@LAMlOJQ3cSiXzL%DyleHU*)GlE^Jef!+ojR
z2ATEn71!07w$pmfBw<G5iSpIFx7+K7J<OglJ}H;4mQe+<0P+{HQ*TACck;gI2cSPg
zx&7-|<}dEMK=P%h@Bg4JY^ytE)ZDa|_e(Am-1h{W_E^TS-OPZ4Gs_p&0qH}uu=UH&
z|4Ye0KvXkAB(_QW_Uoqma`D+MD<Q)K174P^O(ypBh1R5!Uz3DmpPH9XGAUD-DR`}%
zl8t@`jCApx?>rhL16XV=8mC0A$J@v}b`;F!nGNn*?+^9$<DCm_sezWyi+E&Y7lAVX
z+8QS;C>HddGOc|~iVe?jK9stkT}9>HdihT9LQnci3|9PyUWpOR8a+uPK$wu2^qaAf
zo&@+0xlRj0*51hka+Id(9Ej-e8lb0ovI2xa>tFdD?B~(AYWEk*WM9{pU*~<NXidZ|
zXbeI?H+UHQ;Q*8(R4^9#ViH)+vB{c(xy-!A%a3>T1nZY#<O*Bfg|0&nKY$Up=V1aI
zm4TDI*iZsfOh>GsPvv@ykcjA;fSyxE9h;bw8L?TzsVaNfz7scVAeLrEx8$gV(FiOR
zn>O9bv+gnjeG+NK`<by!RrMuveMf5PBVyu2-TU648n|w^mtv2>Z$kRtRKY2}o<aIW
zE@bs(*u5K{Oz-3H*YD<BU6dC(FL);{^M@<{3|nfwqu5G{{C)BWk5``ADzW!{nzB@g
zd9~ol9?BU)^mW4CA>l196=OD4W4`omiDlG5F;WrlnDH*I<ns(TtsXKOlD@g)O1+C`
zbkdhAzn;)lX3Wj>E{k9)CiDcqxzHs}S{P?7fQntjCBxWosS{(+B%=w^De)@8*m)p6
zfe7Ed^uTP1W*cpIjz#at$o)R^WZm$Yu{!=m8xH9SH`nJNv<I0gS{qBs=hiJ)k6qBo
z#N3=rsxeMU))aG+)Q|5^A_sfLGYBM_r0mqw^3I3w!!G6&zB=`tJ?r&DoB8)oB~xtT
zAWkzs_-{q&Fogj>f|#dlq}J@;m<O&+i%@?6K1;MmSA5pri0Lpppk@m$|NkG~h*-HS
zv+%E=6Fl^j^O%s35TC7M_d%kfWBGG5yWY^T)HmSS0?fx*EmPsVrW>{l@;{|(Z<1Sp
zZL4&gSOj4R03>b~uS^VM@Qx(|bs5<3VP`JCBXWwv4hedO486QKT$50eWTmYg&mnyL
zZC0j1hYN^~Lt(Y;eG9cZ1lCzX;D6<|RCUY2;Q$w}c3%eeGIWgC0<=Gt5B)}Nud)J)
zgg^y%f}A?*7?hA3!dXn{vC~1PfHM_5FCZi&1eru`?#R1w4iH^bw}=$2?XDz4^NHx_
z>$T<9g?l+bdV-_eg3!UD)}UDdDSO=z%slWQ76F4O+a+u2?hXMU6wR*GQYV4z1nBo@
z%m&Ks4$BJ+ouZ&vZ<C?{+VJyL!kk~xLRKe|_?aYaLqh`~2ZcE~3%)b4ineprKop3l
z`2(v$F&TX}8(SS$;zs<$i493eCdIH_#W9!xH7KvOIX;t55%et80G|cVnSKkf)jDa8
z_qlJCm=V4)&@Gc&$;mCq0o~5<F`r`Rv4?3%_jF1ZyVA6rD+~Rufx|5&3~a1-P>GVw
z8=^E%981+2f{>3Gqr~LjGKt=fd9=7D8~rs2@S20yqSz_=+3D3EqETcK$F2kz6hMG#
zDr*Q*+W?Ro0l;ht2mo_0^rrIomS~k)w80=)#CUlOx@p1;3ulc0z>YlIx5ViVbH2Wq
z-%dAhXzr|OKI0rHdq33uxW{4?&buU`#5$k=2>#3{0HYw8B1??k(<t>AC%h5C!`98H
zS^Cma1g7gP>?<mpcUA`QzvSWD3|DUff{s$y)yB%o>aouO;6fN_P5Ju4+Ml7OUL4p5
zqK--lcc^^J+repkKA!=njTetN=?6YTNG!hl<2`+->90*mccU)LfXr9-d4}0wn}^3s
zDw$VoohUv?m0)N|B5+QU-ojc4C45u_;S}g_8>V1c-x(Bw<BcG6nt<D^-4*n(IQBmI
zr?oqMrm>E0+pDuC^=x0{*09Ec_#JXHwg}PE67sNGm)ybTY$Po0AE-_3I*MxjF02Ts
zJp#E*ALDSdI5}oU_cNTwMz(CXUjvf&j%XF+26U4k2?Dsp=PMN9KWrehmDwE2%f!as
z?Gtd)EYs@j^V$ubDS7(zOl;grqydRV#8h!<_j8Frh|{ht#iWGj7=C<6p7%~xQPEtp
z9?+I?p)|*>tpF`sX%$=;78GPyM^&&jZVE|*^Wi0@`gq@2G_!GWf}gweYGWc#t0ctD
z2$CxI*R1Dz7+LcBeXhLra!*)ak6C&LS~jr}5jb<8$g?+ZaPZSMuj<!3%OXRnC&kUl
z9aPAj)X0gSJYYo7-GI2{gML;989nlo0#;-wGI8SN?)z8%IUslg*y}1D<qn9$Y*f^T
zK)JbPE2<a2&1EWDGugG@vc)rvYwWG_SRUhXRIa*Ar(|Y}r)n~g0)g10a8l7pW=V2A
z#;lN5<9Mo>-uai-oQ|Kc5<guGJy`7`qv#7)?9T&U_{6<TxhXJKm}y>G+~^t;D+p;{
z0gUg>c_qWlP)Hb5+Ii?J===2U4U}snb(hV#_q*rQ6~6}6bbue%%(mo)vSBm%v}*Xo
z2VazN%^R{dH%2ZVE%1Ne5rK`p{!})Q{x~!(Bo7lI0TQz02GF}aJ5%evY}L%|sF=Qa
zl=S8@(5TLZI|4*p3wfWk{(Ut_&_n*n2v9)D2zS?g%&}<aR(Gwwa}b&w=^Co_^JA-7
zS21B?a|3_{>n%h$<%xKz9!|?rpt*enkLIabdkaOc4C;u2Jmh|~E9~S4xyAH<!Al)K
zYT!)ZneRfcok=g;ilT4Em?Q<TJ4v?j#mZ^>StF%+Ukv!CUd1+F&XYeTB;@S!WW_5W
z-<jgaB+%-u`#o+R2Azksoj<wU$EYU}I6ECLd_6YdT^ioM0xcu(-Dtw;`^%6V^zVri
zMckKaHb~cPbkKSw;mY@p65528Tr#Zl_uF52HVt&{Kx$8v`9;n_(&MAKg>T{w4e!R;
zasfb}X@#Ek?Crr~)0;Zs10Lfaf_1s4+ES$kwjqOuHMtPom+=KqhEoYf-lTs9e`7~b
z>8*FWy}S2R2z|a*$&9W>M|XaU*rZ?Bqma3gyeW1kza2}7xADV{e!}8({hBzhX78%8
zPu^Y66z;j=@{5-d{RDkP@$#DH{+Ji80uxi=ZE(0w-55m)+`N4w2RI$9TnJX7R9{M*
zmM>77RvO*FS2MDF5b&sr>Age53!9qq;Ew3qy*T_L1!g^xRn^_|s&Ck}q<0Vcgo&=?
zK3wrDscDa4_L+UbO8=4bq0tiIaniiY%o+P~KLwOinXO1uFJHbv#?EYYim#Xa>O&@i
zpcg2WnDmWwj;8fJ@us}@V}r$RZuWv3!%KVL%|SsZG0rXd)!V(~jU>0kx!C&d%+T0@
zt&6e)R|1X`5G1Z4^YxtDuD=;bNV2^fI~!N)Z833eY)8#jZ%Fw14x+qab@o|YO!>#h
zS4xXB>NhT!hn~Nt+^TT#-%cA(Ah#?<S^0nrlR@HO8&u|4Z4zLmEj3ckFPgH~dr3|q
zLn#c+cr%8FIj&eHb}9sSzkFwUmy6mmDy&J`h}2)u>#9511^H%(gk*m3AKUHb&EQW8
zKX!pkRzC95S>CgCB7X1t<*RPmYG$tHEBckWe6`c*uy~7LoX|`S?fO$p!S1$e$n}pj
zH!N^mzzP%JKm>@Ul0LR=rl>=DCV_;t%?1<2Mq>?)Rj-iOYMYb*SH^3P5{YAPK=un%
z`=z$elAld`w&eXy*l)Yz*^h4D(v5pb0TSWVqVXo3SCg$)DY&T{E>fL!F%?!6Kii)^
zkGqvW>ph=bd?T=k@cW~qqy@dQ{}gx8$QO`syYjh?FA-Jx1czGr6vK{7LJvv7C&(2f
zepgBhA19`*F0`4NS^+%NC|NmvdVG&ZkmBtFd%qnW*SYp&9Q%`KqaDr%FA00?iN32d
zr}Ew1ng|y+i@N0GXTS6fQa_dZ+w*$QJAJ)SYK>a5D8qKCV^(O<*}`diiz}MJO<ep1
zwTo+wleKpqh#qVXY3@`kZ6>rC<E<G#sOzHgR=kta0CaY&9X|Y*m;yY@+i$ZJBxz-l
zLHm4{OPgE7Oiz5AZ~7K*T|lSv6U;|Yxg<VTc@>&UJnb7f*S00HG3b<K&^h|mcb$j(
z=D<r-V>t^)pR8(~&doRMV(!+D-_9766MTJoITg+zO<l+PxsEfjC_@zTbe*~wNzcIN
zjmihCg$2V}%8NP9`tfuqi=LNJhbxRx1XpFxON2<{9Tx`MCuNjAMYN8S7F<O|vZBBZ
zSIAjTJs5XB&uxO5O{(3fS!z2Mrqx1W<xvs3j;7_Yz0&b1+xMK$XWr2~hA=*`2UYR}
z){&Zln<*n^M;Ydx?A7_63&_0#2Y@qqjQa6dnK>yeK>7vRKQ@Oy(CE|y>p5bZn`15x
zs?Sus;Eb<irX_OF<$4yP=#3~ylmQkICay$PHtvj}=FdrhUT^x$+VKy*e)nL(OuI^*
z?}bSyA*VT4!`a92j~soRtQ|LtWU5T_$BV%mOMAC&?O<k>VcB>=>a9eWpkZ80+R(Uj
zR!NIc)B4iINi!2&r(S7u!m0SzuQT5~wPxoM-Ynw8D5j53=3ohX_0@Jo;UEP9GuMdr
zKj0^+nv|V*c7m*j3XUC-n`mmoubiPL$S|IWNm2cBo4DH;uXU&_q>4b$W{xVoz_3oN
zJ$U^FeMOKtzfgyWwQnlN!Oz&*T}USEuXZSg_NVza#c%*+s@n3>oiv?UK^mf$A(U@u
z=BwaX9^Y(swqX*AVF;7=G}rXy%J_O?M2gzugO%Qs6|8cnc?*@$^1Q@!=o{rtN!fws
zcBo1gRN#xWVBRz0q@p!0neZPOQFQgJpWP#J-g_$9TE09p>=VAA<)=|HLbQ{cZ62op
zg@{^0wO<xDSk_<jWx?Qna{Pr^^2WPk7otp{6pT*8|Aa?n`EJetsV(V$O1@(7&he#|
zWvj?bac@3hZ0KWbYlG^b>BbSq9gq}E<nbaYwV6qelX0|3P_8q5ZTJ?kPxT6pgx-*c
z=O}9dC!!;N&e;VzwInViXzstK*&p4((zSwh_}3E6svX9zo!SH!T~agw1IfM5Or#`h
zJCOXRDc&$XJCSfbK9Vb*i0bL7l1u%`#ETGEw7FgEgeW<!GagQM82LwJPf_MYDdHfC
zXr<|;ayQPzkgCKP6y_@zkG__Z!FO)Z3-@n0Vbu^$Q%G26C-he?ix@LQ3jXx#YQA_B
z?_-?1p~mixzGv44Aer!Ne>F1*Z7vX`Z<35p%I~W{4@Hy>eJAgN5~kblE1xukP)ZPO
zDld1OU2CfE4<=(7h8`F#^-uI3x3Al!cn;K6jEc0LN%whAC_vjrQd8~8@{;HC`sv!u
zkKnD}b2{^Ce(;hj<V3hlb<0i=9AggJmcMz^`1oaRvDRTMHOsM|Ec_DkjbkU*`>Cm^
zt+Vy5Afe8=2E9F|BW{lz^|e;fxu52LdGqZtnzX>T_l`L^M~xI5PU>%y!-u%w9_o-e
z8av8$-FL;DiDs8=TEJClT7WY?t1k^BNjr?6QmK9A2*3RE?U~7Nzg>o$Xr<evd~{t7
zX7L9%x7Wk%7@s_n=2<NoLe39-=^kY=JEcu}>ANOne+&s*im~!qWu=Vy$IH^Lrx-a^
zi(<>s{=8(2$9c8S8aUFPEEhfU^b%6JwOVrY!oHT%aGB}wk(6}EI*0$j3X0geNe&!s
zW=C%d)NT<*P$u0CR<qaFT))t+F>u&=Z1gI^O}>UK*Y3Pm!pmml8LxGe^M1+Qq!zbq
z&K*(dTg=$%1HIwTPoujjxV2jyZMzwDG+w(?jrRNB)lkl~{@^hXk)W%W@$HDI4O==1
zhwD8~H_y(~yYdG)$Hm%hdTmu6{h8})dCz-oV0f)^g_OB6EQ!yzse0%Ajt`{Q$#O$Z
z#}9pyr=P7*9RK3CQ8n`1x2-12fVXJG?0-7>1u^5^M@vPO*F*UBgB7>)3g-qx*cHUs
z=LeH9I*n##QTMjPgcl>WZ3PwAu)#<s(%n&JQzh{%R|!}Y(nx=iI{a68@zCT69fhBQ
zX$+UAT@4~(h~F*xiszmTl@yKL_3wr2ud)fSbq8q*L?WII_pX=IyANjIX7(qPH?n~R
zMM0DlMtlp-=P|mJg^jVXGum8|T7lR1;@c7vK3_X$kdKY(XxmUlWJuhLEDkU7bEg>)
z%h-c7SyQo`g%kHAtI<ui=OxS)PU8w{Jck0V(k6)S?8`q_rSE=}T4JxMzELcXe1~le
z^<BE_IVu2y6J{{-UFr6Wrru!&<-b4Cq-2oZWYqVT*Za+j`Rz?a21E9RJHLFI?f2RE
z`;e5uK1=Xv1J(bRzKb!zo=%OW{qebfGd7ZsakegsBp+jcc!?L=ABzPtL0(3bCINr{
z7e;E_B)mj->m15pbTt`3sHzK7zW;OaaMDq#(a1>B@Utu>FgTHs@MJ2SRm|saBLGrE
zLVb0Jg#p*6Fw(J$&zvO43GqQ(Q%%j?m6QrmZPG~kHJ;@?{EGf6JT<9Wmw7SSr_Y~d
zU6JvANYsoMId0b6ACVT?SMYEwJ)YL(ZFIDXdd^p@PyH>T!<<@>LMD@WOvRW46^xVo
z8VqJ&r&=h8ogutaSJMdyqqYB`m7u|sz-^m(fGQ2Z(Z23G8iUhWqJZ#@P4i7c{|g(R
zCTYDa-8_+zDVgGkfMU{M*+z%EY8f%64ml@UOTdcyBIO3pUoD6JhU4YoVv>Mj1TEmv
zNnN*QAz5Ue9o;cAQ&ZC?H@Yt2U&Sfpdbv97c1=z?3cCbvAcT%xq14oKqQJGs(w5h^
zKfT^$G2|^$f43}7*Zg~`uQAmL*75Q29XWF3xmXGoG(t~&8_|zPb-QlvkK!qed$fNG
zu0nToPxbY>D##?&RPh)8U(I3K5cujnN>%UgP#k9Zpus~d-~-%xZp8fGuL2&!oSwOz
z^A9_P7~_NdglIk@MfW}Tr(EML(~GMi%G}s8;yCij5ux!QzTek{#SBC8Q~cZ1RC=b@
z22o35V&bIk*=B8IWDIOtnX1+J%D<~kG6rYAYj@Y%-qT;ux(32k(z?fcN3+~Weo%uv
z-co+>MQnQKzW`2>t_W0QA|oT)+f@|hQC{G1g<5OVwI*wyrer`U(~b@WJz<s8m-u&A
zNj~v+e7V?P#?HWimuW58K=9H@q`g<dSZ=QMxkQj+Hq_wIMgSVRa=BZ%<i8tXZ^uPi
z_t8o+LuwbgfWAbk+%i3}LeJL+9fF82!%`xV$PL5B)4%_vQX#9&4Za`NRRE0{m-l4%
z<{n)@$lOHJwf?{F8|=Sa291@<pvc_S)zwXC9mrz9i`$M;i{(G5DSCADk%GMZlz@-b
zd?8ceT@>RvSX?GLj?I61lA)1C=sF?2K95JFu3G-|QzdXAR96XkoFZ^F^!Dbl>ApVf
z#u<2M{pP<z4ZDPl5m3?pVSP1ie(z)spiwYsSo0uLHW>eZ(2R^+*cGkk)%-_L>i26#
zK7^)!QC6?`AW!~#T7sA`#l^*<UgD>K2^)0bX3RxL%2UCf{AWszJ;lfgarOjZQ>oI_
zFlvn@-SPj3LVgIrc^J$1b+?@2DOoVch)KRkc5H5)95Kqg?Ad!V6Plf&Rlq(g<V^j;
z9g?KwM=B*(`U=jo^6*4Sww?+(j|IV4E4j}L>SgET<P;Z2Ixe*OHmCzq6m0|>P2u}m
z*Y`g&B}u#fD}xD5V!wU+*6`tM=Hf?kU48wQxH^KsutseQC6XWxc>ms?J^$zpM0`Rz
z?EbVIdd=6~!%(1E{TA>HctY{IFI$6mr#c2D>u7LIG3!#-UH*<ZEn<w;f16NBVC*~I
z`7qi{sddJ{5`#79&PPlHn{wiIv`H#TG8sKItT@?#zk+hKa(#Ls>z9Db4>sIXUy{U^
z54}$!>nl??nCtsvpRg+#V{0jlSgR+gE#G_{881<nO_ww^y-NPkJTXJ4NtySm#NlQR
zko3>fq$_)5$6!qE@#=+e-VHdIf-d7O;D#+DEZnhgn8tAQ=}3L#lP9M*x6bRlzZ*`S
zX?E<{lSOPv06k7}>1Sl(SL(!gf&8DetZ|G8d~6czErnVK35J=th`YGFyj$#shFrMy
z=oP*JQjK4o`yvDV1wDHhUKQ&0zI+%J^To`thXae*VY~#7jMUeamq(su@qa407e7*Z
zWABb7ufqgUL&5dL`18VsXa7|=Pf7M)$C>w{Maan3Z7YX9mE4FYiuLw4^7RT0D+_&B
z!Q6Ae73(cxUEXu)Gxgz0MCF0nbz>ycH97=+gc@=Z_i)u1iX${GpJlRKj2o&Q{P~?9
zp4Llz_4S{{3m<}x;ClEQU)3{y=x>gqWnM6cvS;~sO1!;uMhnjUa_I-%IsXgDt%2EF
zyAHq1V)6G(<hRuxd|78UJ6x&5M+xQn2oa>`>Ws3IQiRA#7dEwDtq4|N*nmNc6+yyc
z$d|?;>HW#!gkgT!eTUT?vBP!w?gp)ZKm`D(Y=*KKurFkB86HX}MCts$rfid;2y&os
z^!mA}v0(jxmvj*S*;HDq{oRey?ucnB!><aea6GwMnmk2GhJn$2Y@D0?uemzBs|Y0h
zdL<swss7y@5NzInlTC`S>?kSj5<pMaTeLrs{=NKv1BXF@EPWWQuFD_Z{BL)Je)K#-
z_U=?tSp?JHtq`GvymG8}!lQ_kpn@5Iti%Xd5X7|E!GF(zAan=*4Ap1`PX`(N?lDse
z@yw^6>P!DzqZH|U(xIKRhM5zQ%tT96WFC9t!QZ0`?M?Q>eYd0qH*BdeHt#gXj0A9?
zTD_|g|J>s6ghE$ieZC6vsG7eQ$L`e>C;#_Xm3@NHiP-N;jzqos_xr=o&430S6tVM^
z{cHLE8#~$-EWk36<LQ^biv{CO2N#_%O*hFzF%rQmPik2=tNs1y3t8+?lUE#t&56Q*
zWtH$xWB&K1@+|QCgcdnPSOt>U!}IY}?(pAvq_xBjS(=`wyzW0C_HVoV-&Db+u?~tu
zyPCnjmtMXG_ikvCZB!sZF~Iki-l=K+`~BhPVbDkTK2-MD^#6W!n=ys)*6o1oUuBQq
z=fgTlt6<&Ett>buM+w2;58pbb1sn4B;=q@Jo3ac>T3w?j-awv0oZq;ah5yeA7l8LM
zv@dv+M~X4QrZ%_>-%S6bWkbRU!@+>k#7gk<K7!$BewPvW@7g{5JRS<(OLhL!?|)|k
z2H_ZZwNxh`&PgE0L*V=WovGhrW&uve=(J;p>Yqpc^TF{3TBc~+=B>$p+_7W$7j?=n
zii*}06}8?gZ)7A1qQjg#FZ97-byNZz-d6v6@plC}^x&XHGQg|c<;co7gm4qvBC-rx
zJcHM>&MG3uF*u0c5`vPP9D)ES@Gj%1@Pok&z`jARQqC_^K#XBz^xp>AP6<*4T~!JU
zF}_V-aXN_3eyDG=iFy2(q<M@t23ENg3SiO<$LV<f8-;Lx<y!DCmd#&Zq`+8^NQ2a8
zZ)IsIuei9lw($erlW#_F@s1kmOXqh<gUg@{*q%gI_H2*C>5z=|@3eRJur76HQc_a#
zpRICT;P$esxkPwz3@7dNYoTldu8V;-#28jMU&FW^2!EL)`Un&<&6n&pIbUEFu^~~B
z%>C=MyuPDZA(S@6Hkau7hDj#he(4g0A#uRQ6_vp`;=e2lMv{egEn$W|Z|i=XKS>?5
z`{bk6Ocenb`8yFg;~_d9c6RpWnWrXsR^RD{AQF-0g{2i-{vtm7*XBk`;!E${I8`X5
zsD`*<OM0?7c?%p8@ZGPN%ZhrQX~=70KUdG}a(Df=7Qi;h^R$a~h*Mj>UbC^YVxho-
zt{@_zgLYs!Vu$;SGztd5s36yjoE%|cC{j16Kiz5*yFXbBa5PIxOHPS*w-gBqs;jH1
zy~GRJ^zLE97TTAP0ZQzh&+Yr~6b^-Jz%-^#G840|pK+W!Emt{*7dr2zgat=3vVn;w
zb20r-695C8yKO=id8~u*YrkBECaF{mKhA3WG8nYJDCxcWuiA|&{~2Qx_CP*!e&{gb
zB*x7)@HzI|7Trc!5IMZNn9lsGR7_9o3$3fi%yX!t66!wNe*DP9u4!warK>_EPkR5z
z{hIzYvkz^1H>8|&L*d?|d@#8BIwXCEt96tdA+J*V@#9CGavS`r+3f6W$ho@rR;dTl
z6Z;^fN3^b&yvXxf;HB(2A)0G3z3d}(^QaCtTM)V!>$#Pa_jn(U=Qa9P#x-ltiyRz;
z+17ldm`R39PFr$MSXLBdEY&qnmuw}pg)+6*UDi2DcoA`#30%|59}C|e{#HaLg>tSZ
zY9&IMeiR>}v1cTIqN~u!nfH>0$K9|Huya9J2<yzxZi~Z_ONQk%zr_@ZS(dEJ_7yc1
zIQulqMlp`j7{=!XaG$RbMDQI3yy!uosDvh@M?QDFR`=nYSI4b&Mz4-bT39Dd5XRx}
zxd}$2(;jOy)<kg0%)Yef5cw88EWLFH;pJdy5{ZH+1L+{Soa1!3peyNU*UkytWRjQ&
zMcZub9erV%H!hcfCRBs$c0>gD4`g?={sYuQkphw&XSvEKFs&$uVS5Wg<L=Kp6!j-U
zk5XWeV1E-+j^|qbx1i+Ea{?x6R;&nl2I5>*KZ%O=9f}8Hr^~>>M%{-eV13egsMJGy
z8}<bA_jW6z{|wlu1f2E9g4qt2NaO=}oA!%k%)iqKYgnH~^zg`#R)OUr^ZG}8Ie3C4
zC>yBs0kRi5BUpBKyrtF#oB}jIU}t0VKBums0os=nUb*-Apot?^Gzn6X{qKBN-3Lje
z!-XH27X5enmL|genkbnSiCp;j@~v`Jxr-ysKgU}Zlc4<ybShc|=jZ0;-o1MVrQiO~
zkhmW7-C6M2UiAPRnoW9%lDc{s0Fli@?FBhFIJmgJsvkf%gYwGCO>7aJ+azed8$^CU
zH$J|zvlE)Ayt3<Sg61&?vx<H~(4biX8Vl#;DINH2_Zo*|+XKIUK)3@nU#lt=I!bJ$
z^q$Q+>~NTNU@nG;0yz=HS)AK1#+w^*Vw(#u=m+80ML$mJe{*v?!nmYfH^y;h28SqH
z8#x|X2jxGY3#u7(fLi|u4RpHApq7!N<KgM3h|Bf>K(an`2}HZe?*ZhL+HZGx)HdGv
z^xDonnq5Q4@M6g^RF0BR(UkD^hHkzn!zTxKj~qWKy4p(oOr-<~qJxPzkFqWt+GJh~
z3?i8!lVitc57nDXuU@EcE&7~b`)nnUmo->K&m^pfaHpY&CJm~Cu9%N{V)4hm?}4lW
z4>xxrXW!Xtbax3x2L}fs)_$K_TKWXBe@o~x-?V@&t6Z`OW#9^c-g|4j+`bKE#9$jS
z1ELQC%kw}xIA}81AJ6p-PJu2rC64mPX16jD?A~!L45WZ~rhBl@ygJzutey#<Bc`>#
zoh|fJ{LUCVu9}q>8hmT}oFj_saXmX4^+gX*3!mc-vWH4@Tvy`zIjo&(4-B=x>0d6D
zl4#(<yfkh|c5avH^&9coSWZY8hYmvhv%GBnwN)DuUal+200|9{AnOt_tiu_&$59Ps
zG6N_f!y4$b!3`-+;<aoCK!%>CW)C2iA@5uPWsPz_ox16vs(AzBEf?LL{L-)OB^<dC
z(%2nn$;Ws4aJSauuP%)|y8(TRE{%DIil<OCN~L(dy_mV(EVQy6GG?rkp3!wN!9cT|
zJ^vf6JzaKAug`%?cUpfaJDDQR#(Zm`b%Ndb6`>f-*usIAu2bdF!k^uGFXR&IBX$P>
z#)d^tf9)$FspAYUD8X<<u^wN0q}jdeWj+61B`ZJQ=UbB7kLJja4^ILRd<Khk_e|b9
z`IcfFP}BoDHfM$b{njinqN}82$PQh`e}Zf-fYjXqvs<omKY$UINJLW(7F7<b1Y8Y5
zs*te7GAs3(89xdMtJq<W5wDc7J0G&k_3zIRvwq^ZV*Nv_<~YFyVULrEx_lSA!JD7W
z(;s)()Cp*C?>@t4n;wxdKYH=C02iS|BeyB3MktjaHxm<+w`<qNDgZi{mSCa(oNBr-
zk@RNl!8r#$0hcGxin7@0=_m6{+s-e^qB{BpEK!miH*r|zK3nM@?yI*bX}n{pQL7ts
zIqT;eA~oEL45+8<#g!{^KMa2sS-)Fa;A7o=I=Xh({HIx0w4LHYE5}YXjTyB^hOKJJ
z^UCr3hMd!WDpkhTx&85-3ZmR6#RaXu2XykEw>d}PrSIuqbxP&ufcZ0D`Ke=tYAqhQ
z+X=5a(>7>gc*b1kNAsVqFZD;R<>zb+jNIDaW;k(M=!?kWyHdREr*{(f#a<qqN%f7j
z(|_%;k%6a8qtyFG@rHK&M+q+9)d?y7rD3Yfm7m3ZK!$l+4T>0_Oig5D_D;W1Cb|?h
z4zN!D7{=H;59RpBUFSMyV|45Qc;vW7H9iFxF2!Vyv#IXO3I=XNE`VdlU+x1Y4WXBu
zF}IoWCKxa?e#QjZa#7VfqTQ;Iy_U`hm3f$3e$zb#EMYXbG#(3R#zy00FnR*G8h3c}
z`zr5z<#8*`$<2)y=xV9-?E9APSN&Nx!(?iD?}vRxNNc{H=F)@WXCV?{BU|$&Hp6-S
zYuEYS*OzW<fb99M#c8+m?XO*jis!h@p44tT42U;NFH~}oE7cH=SoO~_Ik9Id6icWT
zY-LytSJ~3+4O&e96xdfTNz*?gEUr$oA4{Vu(Ld*Yy3U@%lSh<qp@eTG)=tZa8Hfr?
z`0rV0F-KjgOFix*i=39<D>3u;Ca!vQDoee3tyAkO%Ew$4Js-3369#7Fl@kl!ciypy
z>Mp?1fiq?<AN3h@&X)ny670Q)HQNrOb<CoVbOt`%+35t}m~9^gU|b}vES!SNpozR3
zJ^BA^U^qgL+MO+wwAWKDO}SI=r(2RY@Vem6^zjVt{2s#|Juj`bKCh`lajUMvY{k9q
z9qke;<ypPc!d-<v5&LdKu6Fa{)v@s-EgJoIRrlg$2V2Ms#Uq`z3T+Z-?|0hm-5cbq
zco@Tx+6o3`^Ts);+N)aXeSTsi_R1QzI*kgWi6K-kQd8{}--Umw*Asarc{WO8j>vEG
z9?$FEEG;r$ssKD+?L{mYC|37Qur0s+u!u;(F&gip5(%#!b%%Pol8K(d^vL{bSSP1r
zoyTn^JO_Cl)b~dY_GmJh;y#039f>`^Rw~r(Y!UzqB-MF>Ml7-BZ3g$|8>5{R0!JWp
zURjKhJNh5eHp-vZ;ff`*r$Khus%D?Lu0hH3EJRz?hU(sw%}Afl(tLq17d`9i=T{Zx
zzpJuzt3Oe%UaQQ$N*%km5V%#_`)$_6HJaao@$pykCDD!?qwws)Y2ERfXI~gv@@9Q5
znV-^B*s1VgH2#o%VS(sU?DNTa&(*O&OYfiAYXb=li+i?JKh1E59&LXtClsDPAGsY6
zi*pQtm56{^`$vFDi9jD!Y&~+_9{B@~?d7+wGeri2Z){7T-5RxIwmv9@wVe2hRiJ66
z3#2mAIeKAqluzGc;3%axbRg?%8a>i(L^mXVuEai021spfV$rd&fjDBL{&=vM%-EYl
zP+u1T8lA63M+ZO<mdRo(l|v&WPfJTUh`fbA#GAiyRj_C9{i$3r-?Hub@MhiRZL=`j
zPXv#M%W#Un?p)nV9=1Q?AmO9nI~?jayq9U+Y&wT~|CAMfUe=J3jn!t-fuEuYwd2wI
zPpZqOqLu{K)F+eHHyTCOcdHYg$;#X;94dWnr66HqHdJ7nVcSyqOf`$0%ZXt0`*FWW
zN9imTOvB?hOEoJe#h+|7rwf=mm}#5M=XDSDI}2OZH9pnWR(|as6=`^tewW6zUf*Y}
z3u|`)U1Vy2`^6nADnV)9=@+O+(>cAj(c_mcDBhUun>|*i?;FVKFVR>sbylbqTDkac
zaEL?O(S`nn<5i=&<LIO;F)+h8EWLNFgboL!nGObo$_jr&PP@Wa@Y_LzrDJ3Sd0n>N
z&eP9I83_j~ncO!LyJ`KMeyR?*j%Uv?t$Z)Ju(j}`HNNQ!8D|-y(yn1TUOu-&Xrq+F
z_FN~I=@*9~f*z(jvCsTOc7Ob=dD(j7gjXw_9Dkm2&5b^-+8-bNT-Co9$FjkaP;Pau
zbe>fi;27|fA++Vhk635-f95%NL8R_e&vAfwvWRarf{5JL>}w*$ccx@t0|ZcfCgq+@
z;8g<XMOGnrCzv0=o9D%SML10-Br+b{nljj%)3j*?+^qTDjSIr5d4i9hO6?LDx*pl-
zANB6uD6k^E2OhFfUaHw)Mxs>((O$>F^mO%WCXKiA^rw!u5ndg`l4Y+5w=At=7Rl<e
z&wHh%rBkX|>Uj#swSCdV88~`jHm;m%9Wme^x?Ls;ua=mUtf#M@oYWR^Z8q;-i?7)t
zqbo`$K^;;m{0-yhhu-)I%RK*bLyIiRhJR$d<zvai6qiuoFl*iot=$<~dIM^br3cWR
zu(eK7_28TMT2&?ZT<46AUYz8l>3G#uP<{z=i4dlzWRcW?H28)de<f$Ag%pSIJdMXB
ziHeG_wT+<Uaa%9)@yGr<kIscVMKm8yEj>VI+5tNAv@~f_cm3eYV2Psbr?a-4))lsc
z4U9ZZ%EMge?G{|WGVw0<)cV!>?yXZ&b+kXZzm}aZ{LPKJbE~e+M@kiqH*qX1TNz*Y
z%IlYTdHYj{yWMi_X-d;S=zd<}(kVZ&ap77g-vQ58ktnVcTXA3=Ypi=X!@8!v=%1wF
z9^V31n@gGfIul9%!P3EAEm-)+B*%{*zqe`}X2-_LN-MAi-t*bC^qP+!8b`06s>oNS
z`@2GkuOiqh$WO=S>6ZDJI?6aA1N#PCZeP7!=(_giaogVDfluga>zsHazBC@o*69?c
z4#kC{B~}J=@$94x56^{ly|Y)sNv7Lv&bW%5DdWD7(yU-8Oy9mSsj9GSXf-3Bp0H{8
zti#u$;`weYeY(1=UapXJIROWYzpP~CxIuni-sFfx8iNn%ferEpc$hN$7mz;y>x89~
z?HoNp<35ThZJ6)`hSlgM(@IG&FIMXFj6nvK*Y}qI4rFbQA8e^~O2RMDMdsl!-|MMb
zdNcp}+zjcra-;+86?`SG{~UWXFG_^RUgeZ?VG_P^-&h)kgM$2p1p4e1p~NWjQ{@x`
zjop#N)&mbZYqa8XPx~0nU$~MWIDd|7X^7D#q03I+w(0q)4BrIYCSK_DttP_iljPJ_
zo+(CnOT$w`-%Q`qG#h9i9E|?!452(p#3yzEM$#%h2%rc%s1^ZG*U0|TjyskT_u|D1
z@Hd}<`+fBR#Bx*@Qk%1-zfY{$&gMSz8Q9DpyQ-pY;MC0bss9<^_&(XxCSW|esrn_~
znJcWGzifoe*#`_Wi|@HT?*ZEi!PLrS?Fn^#a6_Mo`PjXhqNtt7;l7OG4d`L1H{m@F
z86aumx@E7PPT_p2&=15{w-eQQquO55NuL`c#T1dD@m7vSt=Oj)5j{UihC%DS$4@78
z%Fdm#Q5l(#={OcTIoNJL&>1c2VXY_cvQQ8y`gO>dF3ovn+WFMLwi3Yw%D4;XU-!q5
z+wYfHwH;V>b8`4CERipX+t1^Xe{nU?eKS(CTt716CyxJ8B;8kLe=swpuxT^dcAhAw
zPwS29T+j84sn|3hETPmP7s!265JqK6l;bKUi^RP%jn%8KeMoi68+0L^g2{R_a()VP
zDmP3%o~9V^7c}VUo5nWg1K5khabflZwfgxT@bzL)wv3A)#Z?3)@Y--LecfkliCH!m
zzmc?vdP3(*2c-$o=`6<YnUO?QN%pmSuATN!V3P5Zr?#oB$%c`GywaKZEUh3k5??M}
z_`=<qz-~VNL80~X*8ZGmR6rnFb*~PyOT<xHZ+6%6wz#Lrcckn7NO0Gqc}3Tk&&~^k
zr6l@(TDD!Zyi)jSaQxEnmnarB1)qLh4F$jQJL@;|t#Wj_x_ix?ScWa5jQc*f9#8zL
zR_0P;8LnPsXZNEieX`=~85d70{Q+7%I!~FqQy1E-^QWpumO`HPUa0LDmw%MOk))xb
zahF=`&C-nT`JE24t?sGvbb>MZx~r9e=UtyJgkJnyDdBi<M{ZH@TcYut<2O=;5M4>U
zsOiuAt`tgX;-I*-TzQ9$%kpJn1*^FkKTq~KuBRG#w=Vnbd!Kk8`{?wBTkVdXqvNs*
z^cP(y>rpWl;NT(H?q)3J$Mn@dfNrbwwH^^_`laUP+;-R|&X1A<Pf*^O&#w?7I_4Ue
z-}C_+O&<<o8tRL#7>|mcz)J(8qC%=+hg0TcH0n+y7R(rCOG9teTc?-29VpRhbwrtP
z#REI-#ejj_(_coN(;rCX%!Ql1q)|{9muB?p3%S-3U7^|R(U6@b&*G9k@Y!I?dU4a>
z*iuKr-01}Cc`NzkZ+OB))0wX`ggE$`KQ!BM4v94J9NZ@e6YyOkW&5I`pO{r0Ts09U
zZ1cdRSd{F1Xr?nXLI<7`z3CI{Fn2eSIFl&)L@eA#{-*xqW4YY@1SOpvEIw0Z`uzhF
ztIZ9{E!h+NM;+KmGdCf8Oudo_YP2>1LI<=RM}r?Ze_Js5n!I!V(gW%n{0B2q;xE|W
zy$W4MN{>K%>>8G#QcH$~Z(QTdWoAN*(fMyPAp}Ky$|_GA72yZ)$Gy}Zj1vNG1wO9~
zUSNNAKNAh6b6u~0e=VxG!B=Z}QFW(Tj7NAw*v%}-$#^1xu4MhANye4W85OJV=(Z|q
zZmn0)yyC~nq`AU2F`Bx5?s5SqTMqk``I%m^2I^sB_k{2KvtDk(u^LY(?Ad*-+Y+X_
zrX2YauJBOQ&OjUZdFaDqB*3Ygsq^%#Gjm`5r;zJZAlfkxBz}uG??JA*87K|X{+Df)
zYNbD;$39d#V2Qw`j+U0Q^`Yl1m*y#MU=AS9GfwfWc6W*^1C7J;vaf;4Ddg3pbQ-j;
z4!Np4)GHUTQoG^XTW{1Z7EZ}?lrp3?p5gx1D0+YV5m(SWe>mAnNc{~%EJyEsC}8nE
zuNz9bgx5T)t`_N#t0lvta_I9jrs)y*3jS1`q;>dj>XQ?bd5c(LnTl^r4gFy8y&K-P
zNVDcQ9=I>lXq&Y0zIIA~V<%qyk(CA)HmTITlTu2Jr`pb=n{;Z|tt$6H(;&O=$8h_a
z{6;EAt9tP_Sz22z&Hbh>Q|Xp^1gceQM0bjcd|D@tM2dXXznt)FFl6wg$9Z6p_UkVO
zhBug#gik*<C0Kiuw>P};Ca|!}jbJkXwCM_<@v;agJFu#xF$A(WUb6S_5Ikpxl~%_m
zWA1(L<wMi3vpqp`(7Q-~V~_r+PeL4MP??NJ$-L#W>dd-&@8~Pt&k)1XImfYDklNJ%
z%(oY65|E$)QDn(L3m4tDK^_Bw#%)A2Q3;-q*#h@nLVRL=`UA6*1zBkDHuH`qEv~(n
zD%~QupbbNjjfNya)VK;F4~GruLMHjVu3gfSCk=qW<?h9_V;PSlqZAeLwo7l3Y^Ir*
zyrg{k47GZGhcoy-=YYN+cfQzT+PZqp0Hzl80l@-2{?Cz{4^zV-PY5jP`_kBU#C__I
zwx=kD)vl#Nf9Ftx-SN|ELg#j38ZY>CYnhKlUT2)JWx82XsC`4aq~tUa$MY88L9Z-)
z(7HEsUAcrM&h|@Z>cikS%<5~SH8k}vu*zyVDd|bWW&w*#Ug95YQZcpLbL=f1?}~B@
zUdzt)$XvPo8K%DENqi70;2AoPTl`pjaL;#qlgv5TUcCQpFM31NsMyp*8YZ5ppjT@`
zr=AR(2CUQiy00VF5>Gn?aC5;=dQS6CR23{sLrXBxc_#1aQ~79|HUI{jUJ^IL{dN5F
z^u$I18`%T@u&c69(>o;(v$^y)aR@^Kal<7|0+s((Oi7?tNp-n&?oj53b_|jTho!e)
z)rCe-cE9qfTc_l(NM=EYYdK1R=$!cNK1x6e;&MRY^TQ1MIQBJkITJ#DcdpRLhkP-|
z?`kkJ8N}b*+@inheAHlSzhkaP;2&PiQ5qbYlc(jG4+B(2Vchg$xpjO0X)Xi_eJgXW
zd~Mj?>q)o9#!o|PuN{Y4Ts{swgoH3XZ{llm%u`}C9?v3(oI%pV*vS9rpQ7Gh_!luI
z0u?gHH}_%Rn7f0!)>bs&-Ov0c7Qba9Q~9Zi=xqZMX(ZwXUZG9}Ckb<^;9)j32>k+E
zgnCg}G|hrgW@)`p*l__*@%rB4#SuZbwL}l=Y2~_yzUQ}-Tw42-1*GsEqCWu45c*|P
zEZ^omtR!P|GmoI;GiVfm)w?qELnOG_`+6<w=xNjZ7;eud?;@X`CJzi>8hF0sABLx*
zsscyChTk<!Z1uCX4jLbX@BDvky>(QSUD&>jlyrj#(hbrf9fBY&A|=u=ba#hRlF|)|
zlyr9q(%mqWfFLo_UB5j(&-1?Tx7PO$i?tkPIrrTA-ut?)^E^&Vi~q)>vA^M6N#9_8
z2_Q)bY_#5N3el^&Bu93Dc)_bf&{J&q1Ex#_0g_-CM_@>j7KHX8SrVLx!Qt5B8q3~Z
zn{*jxIvuo(df~vNbxitW8EPrC6ANg3YJx_R{4HbOM=LV;H-d*4s1NfB9b-*WZm~Cd
zx@}>D|566ta%%XN7LVo;A_*SMU@Bz1yB}M2>RGXQ=@BAkQiO&7cS?#T5%@jG>p?~w
z!CjW_a_+NItIL+Siiaa97f!x9<1<I}8O`~NSb#TXhsq}g=1+J8fqN%=R21hX(38Pa
zgAr}<F8y!++$gaJ$X@lFCpJViLMiqx?c?a}7~x`_*v+h?UQUPKV5jCv8J>pCOq|=<
zbH~$rZ&d&aC5iV9F8By{=&N^2dX3F>bu_=GW0684e{+BLSD%J!SHNJ6IdJ`&a(_OR
zVnu6bwmO3Fn~~}$)Mknkx24kKI+=Xnx$kQjkk5&B^fw)))dLMqNB)HJ`REPd7R{%-
zos{n;&9yMMt5x2aJ?(0v*^oZmGW>rQny3^46PK{F=D3oo_Bt10@y4C&!GVI~c)r+V
zGVH?3WPUdNEJ14)=XVNkp~+cbrt^q+p)VwjYIZ5>+ii3bb7|q>fReG1oU-z;b$P1*
zWGDr6wYrUOE=VUwXPL#Zk`uvab9|mtmG5+z|0DiUi^U#HeT+#3D>?O_l?1lvk(#!d
zxj!wnxr(<T=9XOxiohCUAo0$BLZYp0y_KKSPp8UZJ?ob)+wvU*JYeiDmf6^3C8`d(
z)-v0WqN!$BcuS3vFIPu|<jw}pZR17xL9@IK$j&){trBF@(~p*<3#)quq$?=Fz}iof
z4%isoC<Mb}mOgfikz=oa$4go0qy}t$hSkRcn(9U_XY_=LQ3k@A0v3ys$YuUTzo*OV
zQJNx1#r-GZ{Ph;@69TU@g=X7L&a@;bt`@%7QaDfc;@I>WkOg|Z47mb)0p8)CU7=eW
z8}wa1>Cfc;X9VAg=3)=^HNPCuBW|{#vl{Y`pMkwIXVdt1PDKeOvwjec@|a+KP$MRc
zK9oIoTEo{VV(@LfOiZtCngZs{iPzD;6D2B4M!r!HXP2=q>FZO?`MkcbySZ3c;b6KQ
z=n}b{VbUE2J$7+mvxWEq0X#i)F`dugUuh{`U=MoaZ=s_ase(kU<o4E!QhNb^bq)3D
zYQ0fs9PwGvMxVi>p5|AerUA<X4D1Zwb)pM5US!S04SQ2wS#$-Rn(@23`eIaZ3V+RU
z)g()XXg;Et`0Nc;8epD|(G+M|{j(&#+wy)Fsrj3g71f<bZf3i!jg`W{H>P2zXtT#w
z8Z5C}$lW^K^ZAN^7S`^RkVKa_kGpaayLyAIP0X&WD>uK$VDY`6^X=BI`~C5kHp?Px
zoMlgI1qtTm^Q<Ltk$eNFbkpX7qPmCiNWNa+IjZ}>V1tjg+$<ec$=qf6rEZcf`^vkw
z(=^XAOZ(PC+(_3|{hBEwf95&fgVYJ<jlNIZd|lVliU{8RQKp~Kx*rD~eG{9mofdj5
zv_<9gz-W}emVevw^nU7<pZ)e!Cb6HuLH9hC*?){(dXfimDw$VvUp}S@^Mb3FTzxqs
z^g~VTI11s;;a6F6K{<bYh)cgEUPrBK`*mHMZXNe8VuoJ@5^W8ps<klNUuOd`T1n#k
z?#JX>RCBquNkuD-?UKWTO4Tr^X~BxCm8!QT230w$YqZ6F-LT3rafkn<!);ThMqO0#
z-#`O{_Uav~Y@4d#nf-59R_j?>BuO`W7iH~&pPNh1-xz_83;gzHtb8EYzurNv_XvGe
z7QZMEJliMHd}@EP9f@XhUnqUgnpB@uYtQ&lQ|Yqa%O>%*!N_Rx>b3R1(|DjHC#3$w
zb8TOGg}rV8J%3|xxA?l?sx~v1mGf>kZkCa9j=OvrSE;7D^~KNLa*|Pwg>VkB{0dhq
zm-^E+4!3Ux1seWowQbZ)w@q|p?<PldqmmqvO5WD8zN#J?8Y<IkMr|Tj5bMtdQi%C0
zZ%}%MPKc*MK|Akw$NCQ~9t)zbn|&(Zxuw3O+rVx@R$66|3!V7Sm)QA!|L)+S|Bn7m
zY9ErSeC#~CtrETHykgKDu)Qrpf>O@0Z2c-%(A+PqNgQTdJW#;zFCMBETY%{M%WOTM
zaQc%`7g8NvxG_VaK6`W8BAyTfn<U$UMYnqUDqknJvHmR3O^*!k5{Z#$$sO<CBx!dP
zSADWvv48#pMb~}bpES-Ef*}SqGZTt_wV?f0W78sg|3H9n)prnjZMuUZjWHt8VED7A
z%G;dJl<RU@q*%UIW3H{!5k|(`XZGU74`Qu%_=Qry{Q_EqMUw91rCTStz)BMg0YOJr
z`udc?AT!_yWZ<L;I<5g%`1tSj{uyw-nb&-GOdR+df7Ogh?tz@WXcW*TfvsoN=wIPN
z#`VCF;X7Ww)IwL(xF5zC&QGrGL)}Ny`N|~9D|)GxEjJ9>U21J6%ycw{BY$0=iHV7o
z-P1gr+8_Dx*?YTMQCTb7PlS)$abKkR9GmlzFM0417t!ZI_xAR)Hl1BR7n|91IrnPR
zjInZdiOr){GZD9k(>oWbu=jb1{9B^67sc4v1;~y;1iBHhCHG{Ta$7Vcd)I{=x0rXY
z{CB6MVEG(N-1acL$w*l5FkT1HUI6ZN(YGV2@TIaPzoODoF&YxVTZ{FcE3r9&+i6f5
z!Esc+*M5$BG-pW%!{9jK7tSyB-!1xA0U9TfE6R;{NZ1u0JM_DUpfL#MzLws4r|sOI
zrC<HNM%_=*3=zGiB!#}%*$={c9rzff)H+mO?R8~tOOvhJt@ak>I|s?#NU)}^BJ6qX
z=OKywuKpQ~Wi?+mqtzGF18vh^VNBP$&Z_9!O>@TF91blr`LTU%ys^=HKaeL{Xi~?W
z;&hKQuZb{fP=EbhTKLucS6rzP&eoIH@s#MTmGb`lHggqizU19Ef0nKp3A`laC#v#R
z_UJpmTK==U|8sidiwV$Z7p0Uw-F>1*HpjuhlJ*R?T(2B1X$Hgy!IvvdO535>J#wNa
zi7Pk~23i75_T<jHVfv*7`tD<U#3D?bb5~buu(GLP|NE7m2wWJKX*v14y;hXw@=edc
z_TZUNp1;f91HmSkx=fi-WUJ3X7xvAZqOL<-Wg_>}r+Q6O=O=XNtJG|?51t@L+x@Q$
zF#xS5EI|FXt}xd@A`*3`vO{u7zfJYlDOF0zAw@i$qDlB=vPXcPd(7@+NcKv$&h^z7
z+xE=5p45)Z_~|_048<MNKi|L9-P7LNZ~fJM`&!sJELhPA+A|VV-Z|17H~<t~qoT)3
zInBTxu$2XMFf`2(2;7M>X#`-bu25V~Hfy|tX1D2Vd<}hl73`6%6PNHd-<xh@D$K-x
z&M^P{{I1w>@wN+U-r!}TdX(6O*)^@3aW>gH?8mV(+<a^Q+O}se<Vl5r@fJFcL2>mn
ztvhpXHW9JJ;}6iSuLftZ5F<PGg*o6J5WuWF_#RYx-m((g_fal-FY$g=D41~$dKR1h
zX{MgKxbQ2D^&_KExpO<){e|bFZrAwLr=6H+tMEC{EAlu)eq98A(6M)EcHUB10py;&
z+t^1}TJ2XFIiKSz^brNoAL*(8TXVp-R|~w3+d;0%rE_wNEbSL>pT2fJwKE_sROXp7
z&ns}V&FuUv1F3qk!f3m!p$7eZV#{HM^ZLkEv_#ie*!a59%Cz8p^AuAj#>wUJ-sz=I
zkyh02jGq3M6~Be8JrTT=rf+X0kbI#6tM>%z!;K1OZtXZarW?j<bv-0F`&s5F2OTQ&
z=b6*cWh)~Zz-<JAjleiV*PR+pg61M5FpB#0bgZlZFhZW2feP5!*;!fNLhHS0TLOa0
z=Jf31KhI(K<p-7t<L3QmV<(Xs8T|<xh@|4JP;;FJHyew}8A1u!iD#|J5jS7xG80SX
z*hp;INBdvimbLeQBgCh2=oy~{uW-xlMpo~+ZB$!kGvqv5LK~cK&g^>x=xeX8d&&FG
zltxE=+Y%?^aCYLL3=;39!zphZS}CG~632c`*J`XVMwYqybQL}`8k*l`dF%~T2aw~e
zaL%Vpw}~+G#j$AKh%*@S$nZ-sGec<t2=c)Or=rr}vq$#rTer3Ap{^T5dA8o)?oa0-
zBf4Ij6AxCa^n&$YDk?T_=chlnr}7#E0<pRJ!$d9pM&lnCe(>13Huv}zSwzA9c7(M5
z116UFh_H1l`)!x&bk`TNi*MX;DZ}~I^?fNTKf3~(HIi8|54Kk=RP~PH^4Wb+sS>D|
zUD_|BH1b<KoG;Br*@p*TmKGJWm6s*w?z1mB%8cGj;@ZSKY4zP9o7@}3HhZSbB49SV
zFQ8+YjAQ$<-RHWwI6I?xemY<fx~$iQ8(fWA@4dEmM+7OI+g_OWK0oowgWV9_8k44F
zlTC<7@Vi%w5nl$*?_RR>$#c$6R;XQGC4ba!w~GBVGeX&->Gs0id$?t8VZHa1O7}fq
z)8A43KXsv`F<#hoQTyk~<F??>qj~e}<&^V}N6o`xsGtR|&3m`s<KBy2Wd6+53(t4c
znkGB7&bpdiE_svdwYlQ)=8@cLbvB2Pm-|4sl<gU1%Enfm>hy?{`<n{Y_z;YIlPS(w
z8zDc(n~tpOg70-Z$*7pml7`()KjKW85A6bc^3y<M2Ry+h2E=}qoQj+=b+i^pOu=g3
zfAmxf%D}0F1c_|Du<tJ7;(uP<%Pl!UIJa}(?w=;7opsCHLu_K$LR@QN0C0X#LcDC(
zmg)R=$}WxwEF;@-CABrXv1VCb(cAd*N*jc0i$=&>Ak$?)vHf>!P|+-Q-QnmIVZBYL
zg;5}yxjC*L)U?gxSI7Ew!=%CIQB|rbyR&l~*)kDm@e_CC#g!io=>b?^afdyDm!sZ0
z(}HI*c2zt783E#wIzR;_-g0P&_*u)Yn7L26mu8Vs1SWx5cZKqN?1)M1Si+z_9qD5q
z5r2(!mRbvLhTiY`Tij^z)n+-D9>*p>bA|$rQ@i9J4i9VGwqA>u=u$3g;jHUbmaY|J
zo9Pbj=sNwze?4Chh4!9p^wuxeZ#JpvT^yF;zMib7_C88{KeJbO0a3pUnNT=V!`(^X
z%`vH4Y0;6o3jbLO05rlOx!yh&=!P+zu|tG`+61cs-8y&bhTRjaQU9Zg$8$s6vtIH>
zu$S&N)98F2CbDUkA(}(u_=Y)Y%rh)n-PnCR`{u)htqk<UBK?P|Oz5jEZW_G0)xZ?(
zaw+h@pj8OyPFW5YhIiHB5>1!3o&W2}0fJL-0zA6{$T2X@)WXRgo8b6<(lTYABKeK{
zf4BXY`k=V)Z$3+FMEmg4@O#*twISym9xVs|f7(&_OAnp`cgWe^L?0La0mcKw&-N7F
z(4k+v=ETF1ZOYw--o2O<x7*e-|GsM&df;MY4T^-2OIH~ykCyF%o~y;|VoJ(qsTb6H
zppVfN{f6SBq%lDSeqV82dE|2|3l~nI?Ede;H!4awX^H<X7LRm<@U%-Bq3ZhK1XtQI
zxU5%sJ#U6Kb_lryRRw~U*8KN{k_qTv^S_>1%@zZpRi>_cSs|-ItI6p=Tw-2go|=Gk
z7ubL4QGo=sTU&1U`Ty$c31TJnA<IC?vpsLO5?)TH8^v1AdVg+yuV3$Mi>RWl4y<Ki
zTn`vJKXMtm{$K9E*i*zO=-$Klvt*~ukn5dG>n;2F*5Irv-l|?)s_ghrlO_76z*r#p
z8qO6eN;Zi9KlaE`g2LkB^k%OS^jj4l`)%*+va9Yn&xwHe7!FZkHnHLg-=ANUBSfuR
zu)x(nU<4+&zk+w*H`8t`ZD=qx<BK<xk|K|3z0inNhM!jP*b%9S{Z9@DV${C7b&SrA
z$RRk-x7xa+8%DeUNG6~Me~A!^rZ5a_U+8~liE$FT1CeH-@u+p$Z~hjg^z^H5+LhW{
znieGsONx}9lcmAIVwm9X>hW?Y9|d+Z1+2SIEXr4=F@@qD^BQ#{XND3LGmJI-JuI^z
z`eIy>dJFtn*kI{0g&W=9;Q^a!gEr%17Q{+=!zp_Og+1G_JQR5@H(OiSH;v-Wk<8uB
zMokS3cHO!?Kw1K0@aBiZ*5UF%Lp)zoWa-}xh`+^6O-&5%1-5m1-X6h1Im377KYsie
zMgHsvszJ5k1Q<;sZhL4GlJzpwXb+-gj1{@C2UrI+6NpeOi~d3&SCc^l$FC9~x@2+!
zJHVZ)++TUiy5KOj9I1kJme|E4<GuIw@jhTFUjlx>`QCh2Bs`@QM0&~=L}T&7$Zfal
zr8G4)!JO@O*-68A4k&UA>8YOYf^obXzr_xNUa+wzpfl;~XH_4AfXf`MOn#aq(Epoh
zbT(h<0rqmBQh07@$>NR+<eFW$5{vcNY0lu?bkF?&hOh#7{Fa*C0htm$tx-~qney-c
zS#8)E^df>p${VDj07z#(_a0p4kRjv@&!3UT5dv&1ngglfHqc&Q%o7CwU)for3wUU}
zJs*zn?;N@q(KycZ{R9m<L@Bfk(bbK!Mwlg6wMG8(oc93}0Am^mo*1VqBa-Vyz$i)`
zjh5qwE)m_>DeGO$kYcz89<sfQSs(bQfjZUdJJ|M_i5`G)HWfVHa5(={Qc_6Tb5nr@
zX;2VHUF9*v*-RCxfr115i0I=XP@r(Kj@y&FytT9A*csW^GlyrWmN)+qHXjD`-=!87
zDz`Z!KpOp6&8D6uU`w`>%%fuXZV^nfzNZhQqp-s48P^sN<gWo>xD5n+$s!%^MLy<L
z3N2fKPoZ_jVP#j6$xnL$m|$>;MLi!6N74wusK6jK$2P{{1wwLS;&6sgd~FJd%uZWe
z%;S-eSgFH$(~<m6N2lH18E`p4;0np$SNV7wEx&B+?lF544Mx^Ld@<Q4<JT`CS~aeh
zE&TdeTJmp>(vttLhmIfvL8y=+AicE*8F$?i^Tb10IjXhR4fb{lt=E2m%-jf^@(Rt&
zm5&D^e^0sgeFoFDrwL_vexT4ggAzOt@;b5bl2y90m1LmB_P5Dt9xpLy@!+l&pxfNo
z$N(uFg$lZpg$&H5rVc=4;XwE3(W7hI(FmlL?$5nZ&=*t!HYxZWY?>tw!j@52W>4Re
z!9M!WVJY+KTV3#X=~!x|Qp!d@v9#x=&;=H|8v@cf%dw(|Sv{pdzo37!_F_wd+7DU`
zmVhMqM_|^9cmeMqo+1k#_Ni0<-T3*eu-Zh5HOOqAbU)f^#;h4%er_4CgEKDLlIwGG
z_V^{~we8~f0iaOj^uYCynXh?Lh)u90gOiR5b~rEQKk8(-6v7FsMn0=Xp4j+(Er54N
zFl6JlBfP?h7i~u=^rvCnBc>y{)6TF5`lRrgZVYD{o}F|5(}PN=E-(Q&AR>uixBMQ9
zm_ums9X;FHlqg=^T5WIvZdS0YK>_6eIF)gk0b*f&bnySLT!lwx<i6i|bClg3pBsEt
zs7Mi`uZOQw@L9xeKYo^v4ucFj8X3_fUcCL3zsb=#4VTohKvw|aq3+9w<`u~tKTLPK
z#8G%U^E81*GPce)F`&5?AS_2fr?tjNg3Bul_j}6O2ikO0rBd_JtdSmMS31Tb78aID
zdk!UR4oBL;)aL42KqfWe#Ge3Tq3Yxwq)3U>%+{XPo@!D<-#(WxXzE$Zdul&#fQ)X@
z=8jRPmRWQ&!@zU1^Sc8&0c9~H3fC#MvYySj`O40@1fvT8u)VO&ANWekRXCZ0iQCG|
z&R_bq<bw~M$e=sp^a<Qc8+ZV|JseKeQ$SD$9bid>l}tq$6dp3-4;M6%Bn-0T#_#m3
z21LV*v1+zvrg;yW%E(p}r>K#*IfN_5mA~6CGbqi@qmO2J|7pzM1aR?ZpId%A>xN(O
zxm$)enMgROsrhouBjE@J)F?$oTV!F68`zRH`?Ul4k>)MWJfP$5FE+;aFF+FHxy?9B
z`@V({S0ZL9=1cA!>X>J~Nd0Zh7N8sj>m;#QCF<aE#4wzUEE-OKHk!~cyt()sbk^&Y
z=y}sUY)1=S#Lp&(<|=GaxJDOx4^18s5mDQvimNS-6cpAwo39acs0jA!P)==kfa`#F
zs;jPhyz`yKlEo6{OlJJhYS+p=fi2g=$&ZuI8s9=3?!~H}jQ_g{79it@Ul_JT_jqL3
zggv>I%2`{Kj;Umtq^E*VvFJ|@ax`Pv>*rj;gO~#C_;a(CDmFy#M*Z))#(<3d$L>p}
zj8W4k)nR3XDuSH~oQqii7o^QATNx8O)Q`r?rT{CY4wijJkUNBw7un;NyF2FhHHD{g
zjGnSO6zQ`NmDg{Y_FOo!cErm#ksQ0nt&S<Xu5}MuUtWGy>n_bQ=dmeEe#{Ss>gP(l
z?`CYKQLi6)OT2%GTUS&;29v{%i|q)@>QZZ0%2*+k)Bi<ZQS39DZ7#7|0uOJHL?#0^
zk40u${(oA?^Z{)Qlf+H4jM_Ln@?XL}<ysiFI7_7k?~<e?DQS_0VD$tKUP|^EwnX$K
z4>HrMT77o1{#<mScS!tjA6WthXvDC3>^s#Bs!XnOu!<LII%6o-1Pt4KLtcmL^S9Ye
zl2-U-KmSNBAyH=7F5l<?B~XpNHH95P-<Q@r<R6cl<~s%LG#)#*^hU4ki9E1DwD=<1
zef=(wtTJ0~oAbO1pSkoTdz=CXI#|y@jt#e_=llX^KHZU5Vt@6@H~1aU$Hrq-spKDj
z0fm<n2Jvi0>6GJis7Lr2FD2xPW*`|$RX{rp&upVfNTl~<6RS%$L}#`piWcJLV__pu
z^|}Ko{0n541t!hM@{-rfgx5J1HELP-{^q!H1B9N}7O4Kj$nPm%#hOSz{9uC1%dajF
zb*thAy453PIahFn`qy|B+B2xmC<9g88<F>UAZzz=V3Eu?lz;8d2XsOYwoV+YbrQz1
zboI1IPXMd_9%%2~fu)aqaP(seF5w!%-uP`KURQ}h%k``H{)i6e?>z_)9r{UI<oCCR
z|AS7gg(sjn9lM5RKvm==f3Q210m)KnbOr1h?ZbId47vT=gQw%OVK6u$?ujC(gY&kr
zOM`Ff#6+T`M8@Zqd4hpTWiXH4QDWKu{&w+449x0DykdTb)PURM(;)w$6z-YN13sKh
zziF-Kri#>uPds;e$n9%RiL^QW?g2vRLwa>q{}F58hG{o>`V}y|K-nAeQNI(tI<n9z
zI8J@#yjblQqq#<I+)`y>LSQB&*KHeNQwMQ@E%1woK=~@(f_T}V^|%v5o}_W5T7Mnf
z;FHn9Nr2A{r$I<5U_?X&oCX^w$)8!n=<pt$)2(6r3cv8&DJmFZ7g$;FX{oDZUv;f9
zGbOF8)oh=?qDHy#L$lFBs-s$umkEpqI)cv@_8Fl-|3iA%bG$YBENa|!Zrh9NL~+-#
zHb&cX#-biXH&iS`u05DhRtoOU+wX;LD-YZiUXh@o3Ct(5SIDZIhV@Q2Xx}ab5YC0*
z9oKyidD2YQl~H1ttnbBQ*!ZJL9N@l^(AfrOJMtelgVkT4l=>Zt{8~4aeZKA)GH-Rx
zGj$VZ1IPX>=Vl*3*Ad>jVVbQUpO^fP42UKI9y1kmz|RKXI2X+7cjwE@X9bpyc#Z}3
z7AhdUJJV1tOl2%|!P9S_gl9-IK74KDNv`Y2o7St#t6qIG#rzl<3Uthw*g?sq+4BO@
z6+ffsIg-g-IRC7GsABTdU<3SHNK~cYi)%wn%o&1>yp^&rVmZRA*6AsQo2Eidl}WRp
z5%ULqc`rUP%FtYYl)Wi-8|8w9a|^H}kWa^k!Kf{Z(ckuv`+&<nQGlPvs3u?#2~e=1
zX0?c<{@0*29(dcvMEO(SZ8HKgy@%|0yfz6z68ems@xgROD#K$fysaD+P1rEL!jt3y
zJU1Nb_qQy7_tTPqebY`z8V=Z5WpvQ4?;0WX$?u2ux6<hC;=1Tm_;nT=C>L34Y}u9W
z7UDU`J|%B73w=SRvsIwZL^x$-;-YLK;Py7yrZr;G$<@N!?seejaOAp}*!N`i2XMxe
ztp%60HgkAGw9qE0^A0D^#D@MFDN}XeW1~$1`zQ><F`?VCnePyy6qJ!^$ucLl0GQJU
zL1cT3j$qswR6mfEohq81o<3+#GQMB*;|afw3hx)}%arlL%@ac&#r5jEI9R8Pb=9+K
zzFrFVC*>*!LhI;E;g7I0sJIr?EH>XUo-~GwnhO^DJ;p@J5KH0t1`U}MX*X$O2PbIw
zil#;!21<oREDJ9<$b>YotC`AgQ|h!JE=eP)lvyVb>(9z(f3LS!pY?E;blQ$@%_iTA
zm3ZURtt!#}nkd$+Z$M@GmKswXC#mDijGs8e5b;*}fck0a`pD(WoGSdnk!C@|ZK__*
z<(DSxf0W}X`}0xqTgyks=EGUm&3;LzE=MBB)|0DkSq)isX(EX5rx)vxa;7pajIwH&
zkDf6ED<Z55)(#)U(<#96SR5D$slL|2W>iSZON1c(r)bGCPwDzTwQZ6x@s5Z8lsyo#
z%9sp*)fs7is7IjkJ;9H99L5eU)cKM#FQJrgN62F<)^W0)hNya|$I~3mLbx9lob7)n
zRQ!I;mM^ca@>To4{mK9PDBqJq7*`x}RwzyYC%5L}FX9>e&*;uWdvBTP*i8%z0tq^<
zJ3p=kPZvj8wl=UoUTHdV;Qc}~?h1gJR<A=pkeGxkvQ+Li07~kU_cCG+5z}$fSp%e>
zbrl_CLNznRxcGVAq>@2C7Rpk6Ny6U(a=XW$XUg=f$#Q;0u1wFrXVGnE7RgZicJU_D
zp25O|B1?raa&0kum{FHD)>q_QS9*<Yf=8s;EGlC}cQe?Ee;>^v1eFqqSM`KqFzdvc
zpI13n^UibVHLY@ogxkt?dc<Y&Q$G*Yee|rl;vpHKCOFJ=)5V@cMXi_aM#}!900kxi
z?13G+m>6I-u7-Bhi9zo!+x-RY6EqUpp;a~x$(@<UB6RPIt-fWrYeeHbC_r%A)HQZ_
zlcDbTS-6BPu6cw{ailfBPTFfd!B9)#D;^WS<C+Ye$ad%UoQ%0~7w|q9T~(SmUII!#
z!Q5WG|I^13el07yBMQiMshkTFsRJn#eT(1uZCi4Z2ow@?3?`9O6x~>kf4(xN^@y4z
zA1p<XEuoFc?7B?C9|cxMavsw@U=jI=RVLu~W<f-{(|vD_+t-VCopJ8UdYW@7jTBOV
z0CAkZ0`|R8GP=Wa+7M6(uUc2zWApM?4uFe-m{K0UtAW;LOehC~qVtdRJM}+e8N2NF
zqtg1Dwg)x>KDg2?-l3=xl>fXy2jf|lPhwfi>FU6HJz+9TYdCp)#5Xa*!ZI)Qk#O|n
zqrP#((=176&t=c8dEF5s{6ZfkY?>0Z=UYpV1n$wS922VZQttY+xAr2Y37|=!%|G}H
z#GqL1fB!(1Z)5F)Ida?8z~M_SdNya$mN*qjDdq)g(KC|NdSC=9ktWTqc1>DnR%Xq~
zbF_2*jyKqy;7QUN^}ubi9ELqS${wv_Off3F`!v_j6Hm1S+Y*v5!+*Rad7u6eo~Pu#
zbM|M6T(vC<jXHw(40^{RNN7CoRr73L+=2QW2A$RXSDgYV6mV$sU!b2%4)M>iR_Hlu
zchZtBIHta!XGAUuB?(QREV7QG(ID^>75&2KA6L{nx~+v^KUdKy9)@RChfv31R)D#1
z_M``KvNt=Ds9WN4GW%{SQZdIqhgvtIsfE!Y@VSSsa+s~(Io3mhvcR28=NdAC2bL?G
ztE!C9YTJ-rQq|g4tT!G&h@3*^x2ed{_~D(gO@=r~n|NwFtIm|+fT(?d3thF{xPq6y
zyhov*Xd@;QZHEEd$Tk%b_w9P=)}nx<=(<gBA~yGxluG=gG$(3r8(c{`mF2TsK-l@)
zu?F^BWQW1W-#~O%pe)*xncIqJPYTN#hxPBWX*+JFXw>v2rq~HGJ3s*6v)y}<;VC_0
znrjKXz6z{{A27Bf(6AVP&xVm~<-fb}28PxTYH@<3{TZf=f%z{QQyq+_@arS5i8LTS
z6?~G9QhP4+`sIG5iE+p|Q^pjT<Fdbwx-egi+30mDQs1h+a8mo`Q?j>J=J>&wNnN^T
zox0XrIde3PC%n^xuA>E5V_)r#x-|J)_VhRP4N9_()Q_(6lZM>S*K~fiLg9KX8ml$W
zClE3CO~@pD*eO<woLfGNRU5_gM}QB%IkgU^Bbvzg%1%+oe=LAcn;3H3A|I8JeCkGK
zX+Jzm*X!Qoz#P{5PzH-ayzN@N90=$qcs62wu-f_C2uf;c8}$?OpaTha4wSe5cKZk6
zjkJu<Uf}eOCY$4{a?O3K`UQn0M?z=Ye-~1*<;wX48Bfj4pXHBWyI$4#G@79c5ym8%
zp<gv;g03K?S{<|GO;;Z&TfsKQ1Dh{Kjx#hFHd`J<+r95-14_NRN0mO5;`h{X`>BYZ
z#UV;JL}Pwu56^!gIF2Ms+x4<erlVAG;q%7)_0HaaMh~%k#UYRuL3S%wh&7d~%-)>9
zb1z63o~I;<t`Q8yc0PA*ii7Qdj#&M-WzE+P!y}%92_WV@j#8UvMZnLxFZ>sxS^DF1
z7WE2#8j`v02*hj=_p(ZiDBEeyEv|K?x?8TMs0e{Xz7Y22=2D4NueRqlI}qi|=*LTg
ztSM(oGb{nNqyKYd=z-W%F6i48u%}y4$7W{v&Q}aN^EzKb&!>aczgZUtGcqD)^j?xx
z2HFq54XP(J&v)%u6YZY0+8;^dk5JCq<k&%xk5tF^&$SG&9^WH-an^FVnXU;r4s#x4
z`$k@A#mBYa1aLjTSyD;yU8CbX>=AyVV)hw{Q*z**kg!XY>Hb3#9FaY)n;HSTnL@|w
z9G2CBAE?MeRGTUbOxCPcPkjF*{1G*#v$w4`g;a&vZ1qW$bdc)4FQ`!~wI&zA92waT
zl=dCg3yO!=i%^2DvAnampnV)&z8#Pkg;!Y;RBiU#EMxiU%E8aB!#@koaYO54bX-}}
zrZX+ptLsqqs>{Z$tgd4FHgZ9zkVLqdYfzP{5R)C7#!FH}z+U*l@IyZfhs0}MbRM3a
z=7xBE*NyHyyYmVhNBYsf7UUZ^%{2gh@9II%msuf7mj1wQtE;}3TMq<!kZf=xf3U7!
z<aL}G#)pPm7(LgHn#3)qNPk%>9mi{V*tX!J+-LcuB1}FZPUDA5uuVD-&;|P(Fr>vW
zNDlspcoZ)-H)BYT^!aM;LyO&#u&zBu#^Z=t{M3PQ5$!(-N*3&OM_<a(GJo+=1l4E$
zk!guw)?bWyDJ4U}Y5XeYB2@VUS0*pTy9R;nN3Apy77(O>?N~*9Jj06GkIQ=x8dXdz
z0vIeH`SxVIoYzLL64;G4>Zr^Ex1ov!-cPF8eaN(Xi)@F2s*p)7T{zze70;6yrt=pe
zAkPHN;%SCLds9&!k{QKW)2xnKqb)xrtwVlM9g$)P`O33GvcjJyy{xdB8A5LaJBz|v
z5l;UF<sgjuDJ}Mq%+@|it@9e$t9BRW_#iTPxtAFeoNK<n1T{@0*EE<rbciDst_+6g
zL7WVR--)juyJGj7oY%f$d5e6|t~33i9#1(esbhCnMEvci<F`ei)!q>k<yE_bvc>9H
zs*;?8jteQSP*<BodVh7cUqaKA^4o0JN;cu`{JKpDBgj?CjpBW56ppYdP0fd+>(Zd1
z+$SL;&i`!5g^-r8IE7`>QP^bMW{(-7TLPnU1l^jgFT}R7T!CYdNtSPkkSSg>m6BSg
zWCh`^0AtZ?KcrH<CwtoY0delrbBc^+1BC_=!DO_RdY@;{@YOre{eg4j3)XmRnT3Pa
zARZ?i82=pg-SXSDW$vM;Y;<rX^vLq7M$nbT2ucFtF_L2G)MS)0q@>OfHuPiTpk&Tf
zhJlVV*^1WViJ9ZPUtQjh(G3UbIWU4zTFr?Mt8x?RvbxwpyeC=9$39We#x}qOs_wS@
zy!c@tKm+V!p?Z+Dfqc%)GowR4f41I{GJ1;nZ3+4Z#6*JLsABIYxMW_1ZzRz6q@1*P
z+#Jlmj`>P|n}{tWz>Y2;I}M7%snrZVrna~fG~5bT%=Dg4e?o=feB&ymREQjfD^Z(4
zf$)puwWmLdtfz}$v0NtNHt6{eTM`<Qhf4uKKc|zK?v<^Hu4J8%*vAV$c%9r$iv8Ob
zq+8_YeQL{(EbGG3e>|u1k_MH8gPZi-g?ISFI(KsRhBzh>D6}3cOxoO+*~~am+LFYW
zyryPyY54GE%li(eDgM(IrJuz??z7+N^B(v2V|n5{+$8@#iyAp~;1}5IX&K}pi%J)A
zDX4A~Y!R3CgEMd$hABplV#{~=+b?(hQTbCa4YGibqac!#@TlHS(1+&~xp7**&aB><
zEPv*wO!@R0cw)8Q%<i)Jevw7+4VvqE6e`KE&awVQ$>9Ypg&M!iknr*I^%pWLU*d~;
zar+<ob7nom5LMJ7Dr>*<I-<n)P+}@n5bjou(EJ*Q=!CCT`bmtL>R77#_3AT~w}keQ
zp(GS`G-J4O>jaV!t1=J16pn9*8k1j;{Eix~+*|!Yu=)I^)KTubj*nkEc<n`FXJEkr
zJ?|rD%mUiZroGJ{OIFBSXSw#DRtm+xlzWntMqI<G|8i&P1%^LD4K1sLKar&87<kFv
z9sWEGEPvd=eYn+DUr1w4+F0Uo9bi2*kFaD>O{+e-i$xooiJkUFfQSEr&cd5;dC2<#
zNv1}R({WhTTRDPtgspVx2~P7Np<xeODKR_KHa)@1BBNJrynYXVL4zpIA_ncfNxs{+
zvbHL%UbKPac#Nxyw%6_YcYpc>@WapoiS86fq1JattNRFk$H@<=?!4{&cp1(7LXWbC
z!bl5M;3HJ&fcyR9pZh9{f{@8|c0gqYO}Zo1z{_@t`|^93w>!Vd0i~_?JN}&=N!+%(
zQ|sf|5nPx0@hgLDpW?|qgS(?-U^sntuOu`))2`*mT@^?|Vf}-cHVPu!CJa4J<htJz
zVN)}EN&QIsU4xHCiR=sEwQ$?1Mxf6C1B~Cyv)n=u!Jsm=ADVVTwrKi2?BS-hK>{yL
z=r%LcBwm_qv2So^jlK$T5GQU?%I;Z-o+P%#dQICk4#n%Bu^AzGjv%r^G)Ae_xJ?q$
z^Pa+oXiJa2X=!F~y=~cbGUfB7-Gwp}gzO*&RqZ!m^Wq3z*PHEqeYmn82O4!>2pX(+
zGL>L6mGweQg3gyiIxl!L`SqD|{d||&{b1)owN;?&lcR=s6aJF?`1SNnxV7JL{X_q=
z0|O4f<IT5}tFrRn;6g}2beolR@m>Cm*5dLG<XB<N+lc|Kt2DV=R+8Og7q|U5{hrBP
zo7MVA{qK{z=Ol@K8jd+VBVOhSRn^P&d+EIM^-(KiTmAKZ<b1gk(@Zbnad?xsUMVs5
z*(E3=ZYx)K*0D2XQn%t^)aSbPY@Ya%qAjf_>=(Bq7Xs?aad=$9lNPIgMbFn7?ebMm
z((=*hg}?%%zelvVg5!;>-AcIa$GTQ(y}(feoWsIY5jBx|1;|Nqft{n!Mu4f8>7@>s
z%7ZC60r315Zv9*A{^gdDF$AD)hB{chEn8^g86bZ@-kRYdqiH3-BCDl<4Tn1YH)H?X
zF@X0CR%sA>i1%pTo5FLJ;_wSq9rFG`QT=lw{O>2g#iOr&FfdjI+xdTlw10mAghS+t
zwuk>TA^z`Ac_~TnfOz9ne)<2M-ya|bCPF_(C~EewqLU!kpwD9(Ak9-Fas&3q6X^@G
zxBvU@alr@^?waEz%uN1u4gkqC?AR@gJZG#Xg&Y?Pj`#!|P5A&(_}}MHW9ZnHV^$4O
zlD8!8$_*I)s|U=z!X7iEU40CQvwNv|u{8hlYTDQ^<dQ2hC+;`xBje*8n=)%M8>K>E
z^bVjS58%*|aLG7A=BLajL=Vd6*I5L4{z}DL<o_a=X#Rf@Ox<jMl^+8x|KC3VAg1X$
zon<~HP4Mo3UwDQf7hUQ_64=1>N_)&(Q*CkdIiZC>;KITJK#m`!Qv%=r44AvFl!36M
zTF>K6kj7MJIoWg0!M_MBO6iUK4y%&wwq&JGSy{i8mF4TWxw(NrLNZ&bT2xn8SHQMH
zRVz@*M3f3k6Kg{<qB-Fz0Yp(SPi(_}tKIb|r>17g#i`@L!><)xJd4?BtyGh2>S5h@
zKLvDdVRVMyBTbt3-Lv_xli@rl!9eeN&c*v^I2Df|748lzFWY29WT)>~L6)I7J`a3!
z=f*8Ba%tTb96z!CnNS-f<bWI|rEA_1!LD)yxa$nK_~;f)&CD_ZFak7EoK9770e>a`
zXiMV0an~*^8Q4SX)O22!0OQt&i#ItCi)|p=M{cs-RaaL(K04aVV*$jbOcwV)i=Lop
znaW`|@Y-f@wg&OPpjqHt8*}*!xZ_HLFE1|vB7XxU^DY-^0JKC+F@*g1zOAZ?XW3XV
z_@u@2Sp4=xeR5M|<x&MydN$tXfxj>h?_0P+TaM=e_+%AK*17p--#IJ85%r)Gf{D0%
zlML1Vk*Y+{;dsa%_lXwoe;Vf0-01Iwe7@_c???Vz;n4JE(=)eeHws*|1EWu_5REr)
zY5<aZwhzw?7k5pewoOJ$LPJ9%ANA)I==L}MSr`PdN9(jbRM)@*4<D)5E$c`c{My{)
z(5~pv*{)v%=Fi=-<`K``ACC<9jsX&$jhR_;FIZf}TtcbW$$3T{64W;+?t7JxoV+gT
zzQmu5^>Kwb)ET_f<Rtm!euFdh0hk?3+Gm$3h~5M1nzKgQAPCn5hQJ=-<EV4!BE|`W
z4&YvaPX12)vlWFD>E(KTen*9XV?Qyw#&h-)LCI7mL`S)tPxlTzOFpImdnGxCu0+ah
z1XLA9`vToKQD;3Nc+lch1H{5fNpV#luisG_8Bf}AQOjk%+Jb&TjZ`?w(H+Wu_wo-l
z`I6$+6J3x2*b6LS+u(6Z$fP2JFxd}03W&9xm<odKInABBrP3)h%O304PqI3p51S$c
z<-R;@vfhDzF~By7YQN4l?hEDAsp{4|+nvRox8Y3J>JW+)0F(t!&ei%+##Y7vc73x+
z+?7JmT)BX$CmufUc+$FSX5DK4IeEJu?5=X)QF+*4Ri%UcMIm6WLbrFBq?j+O+i*QN
zdglY7BiGj{Fz$L}3bFWpxZeBFa`k)$<fxU_(Ue_)JQ2R(F=zufkO&O6skh_ySpJe{
z%Ir=!Y%{(G5z{~)5<w;S+*zvd*+Mn(M&MhZl}N<1@IEihjjsBYM5J_451M5U?4~Fv
z267sDOOHK4_Xk8~ORE1PY6={KOI}74*k4c=q0gb2e);j`pzX<$;)r>bgQc~mOPgE6
zX&QGdZ%a}yAW7+IG3Cm|xJ@HBnwpfVD+}qqB@XSzs6v@S<8q5#DDAT`5h$~-V}3+J
zGQrelm$97h?BuTJ)Xy*y$PE16p5S&UQ*f4NlDS{-9k)Rhzq?qs9h7{~Q782~7%1~)
zf3UX-t#AS(C0j$Up7iP$_n8Zh*kca-y+`^UpR0Qk;OvfL;q_n12B`T(LL0HtHoRML
zC`SnEePY0m>G`1tM7=y4t-^yFQ(?U%Xs_zc{tIpSKT4|a1Qle0M&>CEgw}7;Y4S2E
zt3tZd_^qE3bjQg1PBpvRyW|v^&z9M)*5iF7pA`21=~HW!H9J!?>XJ*3*+a2kzS?5f
z1r+RJ{Eof~=TWiQDUd36EL-=fb5L{Pz~rql&2?bE*$ZzTn@@BDiGlqm?{z1b#oqAg
zuK+sxksdantN}^R3<BBeRb6r$ifO41+E>Q$g*NOg&&|h#$RkdI>d_SLi;gz-0x*Cx
zvvw_UE`LgCnQjZMH&-WoIhWoXs2|kvM56tc2k+^s&qMr=2qC0YvXz;yAlcO`F7G(T
z?QACP|K0M?9)W$+;nN!l_};UshuB?mwIl5ICC*@$GzzDtYHXhm&0YY11WbU6gu=p>
z+5_q1VV{dcROFdk0Ym1x!Ty2!AMhEsbXA7|LS+9W?8<h%J`Nw<W;02Bu<>ox`s`^?
zz`IvI8N+BixRmDb)LdLrt^hf_<%Z_*rVE=Wp05Ny%>mCOq0~8-=QQc-<Sqzo6Sl>v
z9Llo7H2*#Jd8A<I@J&8r?8CV_ruroIb-!nw8&lL3IyzQluuk!^|N3e`rH<@y+^`Mu
zF2R|E3Gr))(>6)T{bsuT-jfonYW^say?(wLdIC~+W|XfB@D6C!59qcF@$2vn*`J1y
zma#VNr6Hzk^ro9pNS;}o?Ke*GqBcM~M1qExf@ksMhb--ak_lf2l1=(&QqUQ7c%NGa
zGs_JI+ado#2;WFP_Q*XFuISkO@+Cp{IYUG>gINJWR_*z^O+aXda=YKs_Yuf{!AX*e
zpjT7>AuEeGke;@}NtZj6LDm_G%YoR1V%a`rTn+gu%?{+v+g{5leAcp+Wz(f9?4YUC
zlpv&46s-u4a6^4T_e~F{71*k=)IxEE#>7=A9lgY1zqReA=uC7B3R@K)z&4ajl}#p>
zN6^fo%j1Nal$_iMwyP+}yt*OjyxDV3N_+0<0=5~?r@93Qrzm6)kQU1kHs=|C@p=P=
zc;=`6HarJq-TGsxhZNlef>3Qvj>MK#2U$CjbTwI+^T(><2~T-LAu98zzcHua&H?Qd
zkRBxW4d(^*gMXB91O_?||0?6&YD;!i#3!kYfTL*j=c#Q)88>}^x8S%8q_5^~-C$e8
zqo91YVAB)%c!tua-OnB6`if?rcJLu=Yoeo2z1lx<Lqotn5tfZ;G|HGvyu3cCA~Nhb
zn51U>lAo?)*=v`5_VM#Q4tSK4r4NYKo0oge>9AHd-?r=3-G-90T>k6AwKQf*L2jc7
z_HaB5wQcPqTL$9X#RnZCLigb|i=ezzvVr+OpKwg$V2`Kj_H-qq(%C25>fiD2aR}HG
z7Rq%WsdRqHS@v|{jUbgl2z5H+Nn7D>;`sMmOWgw3U=FIchD(0I?>Hpyk`4eu&W%v%
zfJDruV1uV;4Ne1PpSb&0)m4OoB{kCt(7|eb$%{-j5yGrqw_de0)fBD9GxFZelY~8r
zGPiOP>B-9>>O#C43&Zr^q_C@QLe;s-AfljpnUqgeg0bH7F4iAvoYB~b-pd?BKM|U^
z3}Z2gB<`^JQYT-R!9Fi)lh;7p!PmALgc%@d$4-Xy!NGzY5u4=rPX{_4LnL+`8%VSA
z$pH$yG0X5`tURil)rVyY?a5d&H=-=%jS=M@pr}V?O;0K`*fqJohb?&~y!+)_;8;^5
zQ~&mPsUCG;><4Y+q*!FqpiZ~Q2b><AA@P;cKB7#IvppF51^ZJoczMI)FHJ<_m7Exv
z-1Y=1vsWd1JR)>#4sc8c1Lh-xwHa#cUzX<8*3Njol{j(InAX!<`u0n6T0K;~#dWuJ
z-*;scCg`*4yWeU<L)lwe7Xj_uNj1+3havBux1G0Iif5p%li9Sv-0#{O`0JT-0uV8n
zxoiSIbuCX)5WmVHMy9=uCRH1)oZ$|fb)F*@6F5vvAXkplru6##x!f0K&C+zxq2IP<
z*AJ%{NnFp5#`P*Z$(Ua_p(p?L=~u%eqCpEP{~Jd}UiHGwViZggtSOx1$|0mj=Hr1o
z$&H!#<E=bw1y(Fu1)h5+8r#o5+P;a{=s9^BUo+oIyVjFL6mZ#Bjt&=AsVk=`OzyKt
z^WbJ|zHL;0)Nau2+h<(<hMk}1>+>{u5D!Hekdg1!cqW3)s%$4mH~-=kW!S0HUYK9>
zMR<DPp;m8%w^Tv8R<GG8ipZ7P1LRHREcYLKY#;9r>(%Z>iC!6!BBHJu<upbhmeL*^
zd<!)x?2VbV?fcZK^Ior>lJ7^LJm;bfiza7pKozDPI*roLxR>EZUlUFeGW|kFx+x~z
zw}W&y5zry@sw6M`F9!`&n(+=MN}LuvK=6GY&*K!ltk(t$`kxRn>%x;;CiEKm?kgFF
zO$v~(MGy+uOe`^U7sUZeWCc({=CxBO3<VIXF(vR$uBqQq@)7%*<hd+5q{qBN0fbA{
zg43RNPxVA&=ZeYphvxHz9Q^8D#+Y$5<R`DZGES6|qDpB{ah{d&LQN4ra!+Z<xMO!X
zHX+b<Ia^ETXllI3w%&XfzoY$1@&U>KkpsF*>MKokFg&HyxkVd{*%jaGTYg6{WNhQV
zCy_ZRg}8B~_1dnJh+)@neY~wZ=H-v4&cDjqQJ!57Q>H}(dPcGryA^f4{mr+ZocU(&
zJV@J)L^+c$O1`l9eAycwX2V!`e-U#p=#54)$)lX9iE>Q*No1JRIoEKLK35!j0xh>0
z&=_Ava+@i<Zz=4ke7R70{XH1dBzaE+p95u;W(gyGE@?($l3IP`Q)uJ#jPLnU?<n?o
zybZ#L{uQ}z!)BT_*C?uGoq2)VwsV^K-A`Qq6t9ut!q=W-hybJXEV{7g^$uV?xQyw2
zWa}n4pTn_y+M(hb0mDkN$<S-0fSO#oBwThGqCD{WYNn!dR;0ypDW|+b%#1hZX=vUg
zCgW3^e?1)}?Dqy-E>vO%RF7A*Y|J^59LNn1T{*7C`!Wq1c^)^c&U6la>X}%nZ-v=f
zIy}`@#{4?jV-wiX-x`rh+;V#ceZ;AsamzYzi)zU86NIIvV0(1WYCj&-I$Wc({suCu
zM{KSb4*k{$vvcmp1-0U<?2@iNctYOEud->CnI`Wc?yYg0Hk*NfHB0Y9z2*t6A1Gz-
zl&dpI+qT5^<&*h%Ge?3B<{0!0hkDl#hVbUNqauV+&hw3v8Vr{O(<ojeK<=`)*F1<-
z2j$+sZ|lXyP-AEGyToJ(`{R>-s$_daF84t<dW7Ch>GBAQ%(kU20Euf{F<^d8M?y4L
z<2`xHwm*1RZ9IsfL-a~A@G}N!KqxE37v=4X04B;`R)wCss$~uX`&cxvI;h>?jCmP9
z<Y&s-`oPe|#}DzXz|iU^m5Od^SCoi7`i2^2di>h$(N1-cFbDImv+<#Xd~bYbbnf_g
zIPStzbv`caBASrXX>}q`F_)$7_Atg@Dd?)e|Eiz{Bl%^<#GA9QA7&8F)aK0>L<WG<
z^zC5S-Y?$LR-mWead!8_wocM+l+t>>%1r51JWM?^8w7jdA5WCHN>wTIU!KyCNA}-u
zk3gq>vhg^4dxFyR49{L__@j?$NJisT_WjLPQEh`iu@F^g4L63W*y)?5=YqaJNc%gm
zK8Sb}@DA4VkxTf$Vw}J|CEJ^7LqP#o11zFPU=dwv&b-N~MaIxfoAx~b*JDX4WGRrC
z4P#5G?KpFvi(d`_^5qnqrK6LIdWJs^h$<+2R?FtEXK<rubHX+Ku4<Ld@{Ys7%+*eS
z;svIuq8G7Qep<LuWns!{+He{23z8QFs30eFGG=itLLe8Bs{J6C^XovjP+bc+rK{>*
zv2z{wAK4@c_tp=s#BHz~JFxgkp-DO|!LtO9^f5ZNmlsfMdD8VNm^0^Xs%Xm#`&%rU
zjFZ@JXvg*wyHJK95<J=2e-`u{@~fs%S$S!)VF=T-e$LNI*7Qg@=@cGe6=2*9;aA*T
zbx41!V$04|Y2QVg_(Ssd^Ai;&1UzVX9aonNHV?i4gqV1}HXlzZIeF`qyR&*v9IpCz
z#&$`<VAjQ*TyXR|?M-#}M~f=9@;C9}lT!N-zSC|tH>2;d5gw^`%Iv0?^YdyDw0^&#
zTL{}LMo%93cV3R1#krmn1l!5;gQ~te>fJBhOtS=rB}r=feR%roR(|y&x1aDn@Wwwg
zmQCP!Bt*zxiTD#hz0CjcHJ*|O6iHHH;0((#1~ytfi_VI3dt=hbU%sZNU}MCQrWKBn
z*S;1*LmnW6x#1&PEg^|#mns_LrhPX&H`(ncwQggMj=+YW1++*f#L3vz&qaJ|awOXk
zG0mT5OmSNpUw3!O;o8IIj}CSKadm#mUild-*g_eQu{szWZWJD%5LpO3h|`eD`H0VR
z+^@CBlq#<nWFS*wgAm=VJ=CeNy%(qVg_@?K;cYm3cMGoXZ|Qe9WQyiOc=&8fDc=lx
zpS5l)e^9lXOsuOmzC@zBkd!)48O*~e-_z(k^k5?3T&HDsu4TpLQ-Ki?y=;`xvC|#K
zuU2$!gc0(7DdKtNKcb?yhDyCHzV_}+6S|G@vxXC8!oHpEm&;fn7`Bq=`=$5&`ObX7
z>Ma4=tDj~zx3~H+roBDPat#!1+0j2(4BOJmwN*xC{RR;PhM@&kMIAAS^AgWTDB2Ca
z+F#}cNFytrjTHq2Ym%f088LR*+goQlY<}>J-?|^1bT9wox6X5?ndG>K!ThQX+#)_~
z*6^zn#eM*Au@G}um{o~1q|++$V>w!=bQ2+GM3T-(8l#Y9Xhb0Tb7`}+!1_hJ6l&!K
zQ(vB<#6d@Ox{`>^5N#PLeVGBkl^QNtXP}iu5jYae1MP;?Yo{M1N%H2rR#r^JDQgf4
z{&Oo8-M%gq=dbj9ulcHnpUy=SkG$E;QdQC{IP9rf4$@iM<JoI?;QEBYm6L*~b#F*W
z;t5w-LjN`mTbCnqRxW%B)oA3}WGKQf`0DeDVil$z52=Mg-El7JGtpdeBF964ddE$~
z)f&YT5A%M>ft{1sX=Ido-H5B-hb@JB#8dAU^zd9BvA<0qtIt6|EOswh@b~cF|M|YS
zNsCI{$)a-#Wp=nZiyULoV_ez4{l=Mq1za3y0xksH@WBBLu*c+LIGD4Pp(wYS&qUYs
z!xGS9H_D=;asF&&Bpu1tCY(&@7fIfk;&3$+q?Cu5GHl*XwB3@Rr7og|-+%c9-P0J@
zaGn`}?B@+><nMd0T!R@wc|jD`Pep?(g4qF{$BH+9+}Zgqqk`v4*fxKF2)GeT_ZhB9
z$XU(_4SRpIE}!%RL#eXOKL&Y|erH1RDD|bZw~%T+*gMZ(i86K^(Rtn<<gXk6Nsy>u
zWsI)%SQm*cYTabpo#!(451HQLTY;RO$MUY))D$Z`=tH(OCIgu?KD)Xrv;vQw-azz|
zLxs#9z2Vi+zxsISLXBDa^k698d}K8{zI<3LU8FbKfXBK&!BJhf*X<9?_jaoye&yO8
zJa2R0&zgkj75KFprs;@$vJ08iZm3AwHV}VpIL~Xj13-ZePrajcxd~-Fxg|2(`XMIy
z`+i69*<TSJyEcT*G%uf)z40eSiSE;1#Ag)|O9`^Dij_BvWBR#6zH))8wbSFasd&vH
z<9B8G+V0G5Xh=KGL;e~JeB)C4P1pE@1W**?nAFP`r&t$g=6KH)Yir!nQgvkqe7|E%
zi2vjr#wuu2i;4_oH8J|^ddA&2Z~pYfm9qN{ZHBY(TyVv3X^Te!2e%+LI~fz@|10h*
z!=ik?zhPlPP$@wKDMgVGY3UG^kQR`XloF)7S45Ch5u`y$C8T>{Rk|B#q>)&1X?SK)
zK)=81`oDdA;ibFx&VA<0iO)GRb50mpL-WcT`Bg0JjFPCG>AJvfm<3FaLR9|=p&Yc6
zNx45(F+@smu1MXd6|YOb)eSZ9xYwa-Bg-n-Cr_|zYcG!oH|6kfukEmT93^!?<$w7e
z7k|QjzCI>D8GdSe5|6+uojvI%wEjG%Hw>LdV|4WPvmLPYUiSBhG++#^rww8<D{5e3
zSsMvIlLMBjJ`N*8HGl5C;+=<bUCG#LG`TSXa`pNt_B)aIxhNiyx1)I+FN0smTKaTb
zy_IHtr$NVH^hLOJ={{{qsmjfLqx0+(kvzryucfCz1~Pv&!t{Z5vf91OZpfRU%RDs>
zpL5?>H$CB0dR+t0_4RG{TI2P)%m0vS&<w_|ZA}VVS%npRT48*h(X}6uulokxHDLR3
zcz<&=p_8o#Y#r`!*EALg5k6;@s-g-Z=fTV9H*<fKwZ`GuR8MoOQBBvwVMU_In#`t5
zU$qF5+#gzF#9+1k>dLbj!dGGOj|W;tN%~mRTx>m?=&-!@CTRWMFu6X8PxD~1evY7J
zgs*W)I#Rd~aO@AKvR>3w9;?sov-<A2{-dLp)VdoT4`E_0=gbW$0R%`I$?HP1`RnF^
z>)=RV?~=B1#W1TX8C}Hd-tp<S7sBE)uRyITlls@%9?^>=m-C%yrlYcDDbqIK+TR<v
z^&A8E%8`mqLnE&!#<=e`Ey@0}O)$}c_Pxuih%lkN0MUq*)%nP9C2UTc0dF@hkRib&
z#%SsNTwT4DP|OVICVJnV=cCm-L)F_#!8t9@pS<Po+vha#{OL<B;rraFSC3qD%uhhO
zIM&icj(3*E+lEe{dBL)X+IRvDFiXyoHbn9N<nECbyf$M$VVWIx%Nb%<6bEa3u~_hk
zU&~M5SoGq1jnP(aXKfE^(WK=xRmEVMJZrj^h%P&@*ZD#(;W>vF^Q4Oe^@R#3YjvId
z-PMKSb?d|!8IueROA%N$D%-;kMJ?dUcs^KAPifk*UCZ@$S}+<Uz-)m>oMP0F#Du<N
z$eCTJ5&H7cIYF(c$^he*@u#mBr>7#l45uS-ms3C0!$M-tBkqxl69fh*dm6IYo>j=Z
z^1-HsxhvERWt)iOR}govF}y*W;ejaAYqwpvmu-Rcru@B$ZE$tn(Dv;om7;U@d>1c;
zIX6UPzMn4B<y3#5+|0}+;eJVJ@*zPZ;+0(o<#vL3a_I#5CJTcjf&Cd0O6qzEQ-j;3
zxntS#L1%@Rpf$`>_Ws=r<}c^Yg$=F;+^?}Aw%v&s<=ndO&Hv<^P;pi3$OnNQiUP!t
zv*v`H5f$G>C85P1Z1iVnx9cUxJ%{&##3kf5lws6Seb4}|dMk?9H(LSvwx4c`W-j-M
zAG96BzeTlNG&NZoDmD8SMYFoe-mdNBDB09<L#!A6Y~`6ST$nJ^-TRQxb}wk6$(U8k
z-f=Xp^Y+q+^TJl{^yNJIhhnhL0EA~Wnor;t6d+o$1pDm2G>~M@dGhRb*s?<XAHH~f
z#|QVZL0$-5-M#A{-a`@4O^yJOFj!RjwUlLM;eg_*{YB_}icH^(mcf-KC)~$xVxIZ2
z_gc|3^?r~odeRxmt;!zNtoEe)d8B3z+y0dUGK-sAX9mEvKk1K56p@^B_KDK+(*bi>
zTx~!WB#k4HB@-dA)F-9M+lI8e>O##-i>=$&f2`%kN;P-9T4}Bp|9Xy<39bi8*fmbM
zkL;F~)Tf_`YwRzanj2(fe{%KK3Xh;d>nPr*_;bx4a5<Sw{nFd8IVES1uXQo;UDXx)
zL*;I=y9^~O(MxdP?RBKkUSC@E(oT{HF{lv6b)#`UIAEYDxvMM&W5%mkIqdmtj}fCP
z28$s39leY?cgi*iOg<S)_P6b1gHLfb*=85q<f?tAZYlg)mS2+Abo5R!;X7vB;oN3?
ztjFD&6}w_{yiX&RZopov70ErcK^e|*@<*t>5=h>J$!o7z;npk?Ih6|9e|7Y{Gp3r8
zTP?}((<MB8OpW#G@>W@0G0Fn2|5Y%}NglbI5JzmXPBS;0W4`ahCh`MbReqm{DiwmS
zqKLrIz9Sp+5QGqaaC8o0AkO@7C6|qJMKH^b(g{9L<fP?GsAq@I*!}=yCmsn5hNvDt
zZ7PfT5jib9vig}rAs+sSP60e16nB32qnI6@HSNtMsBo^wRo-7i1Nl=wdqOQnx|}j}
zbOEeDXL!(mb>9c?CwC<LES7PmIhH-_Ls4;|0-qhkX?5>?8d7H%UZ#qJ<Re2zI7j5!
zGU#En_T%LW;&b~Veo<$jXh%lfw#Gg$_4tKSX|g+fby&-unZC}eW8XE(cBrj<uH(+>
z%edo#+g@pn5`IK?2x+r$oj!NKzdbONUuw6obv-{qmV!6M&SGX{1b(AxW%O?%<@KH{
z5=^}Tj^7vBi_|1fLO!MaW~ZomsrduT$y8Kyz*Jn6wN%7l1~B@%kZK9b35~rht>0`t
znn5}Y5P(xpBMz<(%sxd@ay^xG{4s<X7&=7YDicbWTmMb{(eX@4)8oARF#1{t=$YED
zLY@o{UL5W18eBs(;sS$jcdU}At1qi;Hfs&*LJR$UzN6Cvzh74$<BiE@Wm0{>*uD%2
ztCOSTF(3^?&_3Q#8eak%PLjb?HR-MdD52%O{qv$ixF?ffY|jBJ_)^%xQ5#l)FI2g-
zk|nHVrM}!c7uV&o-a$d%IxE~+uHUzVtLvWQ=H;a0_N?l3g3-DNjG?`mAH>XxZm>eZ
zzJm!v-6!Ktnls!>u7%H#MFX2(>CxaDzx%OXYcjuiSzkB&@^t|*LK*jYH6UK@kP+;R
z?bc8959!z-_eNXXZpV18*@`Uq0claRgW27PS6eeASoGdT{%o%`d<G@GB#XchihMnK
zx(erHz{r&tLI%}2j@hg7+Y74UxX;$`8LeMp{t$)y;STTxpU=eh@%Zu7)`hC2taMp$
zyE^Pw%q!$mJE@7mY61M^?cL5RK9&J7dOU63&9WiK&9c(e(V=)M!BnwA;7oen7Ct^1
z5|aV87R5Ce-c@zr!QB2Fu<@eM9D&C1iloP3@N*fB?dZ6~gjnum4bN>#;ZMpU>gc8x
zUi_dw9wl)O+aP=6O%Gw;rmJ2^D^Ejaqp?oeToCnZ2>!e4dKk9?8y*}}<qb)r7sHuO
z@KY0(rJr}q%34{2HNb^d{L3F+_E4C)R`vxVN2iBj`8;fv=y;7_wM71(#%gCX;6O}`
zNtY?djD<2nq>qXGt!If+K$7o`<3LIIt{|S~YD-UMiI#rL<vM-w)R_|OGOFwIjO_ss
zZ5Gvuvjq=Wx)M6c_8y@}LTlIJP^H04NVuR==8sZ%1RP#q-gy0S82|X99b4v<jc^16
ze^L&C5nIe<;6+*=h;Vs4Go8YMx{LmK;tJHiax>HOQ*9}4uFVkNx^RYW#j_>f+Ocbf
zcVLe$uwxVtP&ifKzhgmoaB4U-Ut?F0%S0-(%;pkW+}teCPymC}ry$hSs-#wv&FNeD
zCY<+OFG+^RN5bZvXoT`08|Znv{&KT`+TL1@kwGT<ImlK$K{~tiwZ|TQ`XP*_;f2_P
zs_svQJ1sPE=VZS;SnvM=KGcAoL$tUWQ@@9V6PJK}8Jz4smOLkqUBxfCZrbQy@nh%B
z@v6~Z#mZ+ERC}BUIHrgN!0q|h!Y?4_Zz9BJ4_&_}<UvYr8S0(CEty8>z+Z-|idI@a
z516`@`_7_D5;R*nTOz;clQ+cWA|O*JfqFMpOb5FYf6}46w|A_!eNty>Tgar-MPjsK
z5Bh@;yjD*glG|KT*|$&7ZR1+=EH@Hc=Le5bqJSlk<!Qh!-cf#sd-y8%>5Rrc7g#18
zEn^Fd;^@35u5GZ+iYx=xve-RKwL~VUHe~o+TF)JHTyyl)2Kksv)duoj1I=WW-}Q3j
zdw@fq037<dVdxHesgCSTA{ES4c%wMB@_yXjX3k!&x-v*d5rcFT|ASs7F&J0Lg8&DE
zy@xtJhmT5ri@}}EE5Qd-CvQ3RLWyS3gN24Eo_hGJP{Wk(QLqbvfAU-4U9c{YC|);%
zl$Ar|ZXv3XS)wJpH64_p5q>7t_6c3;hK_`3f9S^N&H$EHqb+mdVIn8QYiH7ya$JMh
z!Tmn%uOFC%S;tQ?wo?H$o#qP-5eEjLdhN1VS%^Z8|3VAp!snoNiBq?uDGdzU1CzmA
zW_D7Tn~ujTviiIINz4ukB55||XFp_&oB!r2V44^U-X(9XISau@P)ZGNH$`6C&BgLR
z-VS`b4@77~6c;51bH`t<PSSR`X|>-#780j)V!9b6f%b*Gbs#mp4|5&fcA=ZE*f2@-
zEPH&U8xJ6TEs+}?+vEzu`S1segP9Qgg6H0Cn3lfz3zv=whSgrw>zt-vV~e*n-VH+8
zcx`0dpmbwL>0m;C-55J(y}uxwcS@2AL`^<MdM9OxUhDR|V!uK(t382r+fOVxH4JoW
z5M;FQ`vVJ6=do9PMU$Tm9VIZKlro6x?ZFO}3t4}Ln-m|@RTIje0Y_)Ti`%NKd#kh0
zmphK^cTccc4(6q8j&--LRM~8kSw*?s`JBItz(l#)?hmvGmxt1diagtU!D7-@I@NhU
zOrSPJfYddV%F}gXr>-x{rO<5`1^R2z3b8w`n^IO;O!F7(6isHLc(c7d9O_Vqo4;7h
zMwupR;q&87AvA)hv9oRaV<|Jd$bMnh$$Ds4>S4nmI80rZdl-hSXvI5Q&cM~_cRQ0m
z0>=U^$d}5*3=hBjY_FTAIW}@)Q0yho)s^$*PR5rtZCe*c5Bt8*@VWEdwj6>7y2n7+
z`?rdb+xTX;7xT>8mP~GEANB^AR4)GvZM`IV<=J7_Zq>$*GPSO{?g2w{-Tf+s{c$g^
zF;rk$TTn2Y)hKFviZCsD@!2zE$=G<+)&Z8N>$Y!!&2aY8q3!qbt~wmnirwmU<WECM
zuN<3aJ_KJaSrWzMv9%#_VHfmyj};FFrO_(i5%t;}WZJKlY85dzAdO@>NOG%+m#Z>M
z|FXEa?PKNPFmteP*7PM#R5bi7z8m4jLBG!?wSaB1o}2sRY{GVjPyc!oD(XTjCBMPF
zstv=5Uurr(6G+H@9jKaU4Qd(3-sO$38ZMYw{=kyfy0ySlb?~Vvq8D!H2n3c=38;m?
zNs9<e`z45>M92=|SvIe=f~b_k!3+)@L(m#Y45kdV^yr!@t~8S#sQqa4(PHP4ubn*3
zn1ZN1Emv;tn+Aa2ng$R1SZSjLU7lL}%&6L(3+<}3sv7%NnbM@32AZVxr)5|Dyc-yi
z?3n(&V2wpkC$RB-0@tpgnzk^1{`2UXwoh@4$wWFi!XA6yW<=^lN4;jR97tcbQ!V)!
zyH*=SdH;Q7d8L(sd*=@>6Z@bEVYRpdV3^w(A-7<b@3@Ra$xMY{^CqpX^UeKxYq+9^
zD?1*(hmU_aPvq92^;u#J)$|1*_&(lv59a*EppYUCuk|9QgPP5y&|njV*%(X_=dI<5
zsOv2WE^WAY#TK+22Gwbm`-SP-87-HS5Q6Wq563PXa=7&@naj9|Y)w^(y6!o5YrrQ8
zW#luTPjgO;mhP0X3cKOkBEjJvE33<EaB{VWhp`ttq=L!GM{Fj7MV-NnezJ^gJAV)6
zy{MMachOTEZq~a^wI42At}~J!C|);P<mym6!JG)%U0w2y8M`Kc4Yg%n&hGa(Y{*MB
zDW2m^GpV;^N)$_h9_*!RWk+%GLfG|7GLn4gE4BuD4R7SLa79_nxat)-6;|0GS*9J_
zTnR%&`7@+<hI{j8wx4N5s*dD((QX!AWlgZjBPMZp6%rPFxLYo|<wdir(M@5G6Is$E
zdbnKLmL-r&B=C)$BXW4{^$U$<Dg{y3<?3}d_*1Lp%dX*kPM#^=5FR3Sj6RJ1yJ-CI
z-ce4ZI3F2*E7u^4438=w7_>;l$9$9hf$g<R+)j_DJ%%DVFmr61Qm=u|fgOWOdw%O2
zTF(0O5iG57-y=54%c^qr-uS7(-=(_e_u#O4jYrQ%@feXfYtA?`vqd>9C6-&Cw@w~a
z;S#;@%_@dp(AA-)n<7yDCS?L|rIpTpYzQcyY2QG|o4wo9y7+1EC{=I=m}wsp4PYBy
z(i0I{3^{Er(`${W_wmNQ90K_RQd1&WC}>yEp&W1VZqe3h8b_^v5o%=Y-Jb_~E#9bf
z>}$oc8oH2?s5uuZ#BA2Tu$FH3vw&hxxokCYv^7T5Yowx5O1G{rDoN)sv?n7K?uneA
zZGORFILc{wkv9e~XJx_J^e_E-?F9Q|Qp6TBut}>UI#96Go}1)?%-&Z9O2~W#K~}nd
z+wN<(S^pxk+#ZC9%xzKKo3VrC@vb*xJV(9e492;OOLweB-Ns&>_YuWpH1<%AF}gV2
znn0@tN!z(M>Qu27XQ80=OLYrXrbg4Bcg1ae-nhBUzVltn?xv@C3(FU3s%bW8KMpIf
zLNaLo_RC&S9s2Z|_1eOkWbh@My{#2o-prq`y(%Xuv&VJ@XX0H~x=oCG(|Kutmmp2g
z5F5&2c7P2^wk6m;xF)Zwq+V)dw^M&1=wLaEH;7VWt2rdB50Vy;raCs=mOI9;c?FMa
zKE`kM^1jQ{-J<6|TjH!QVmkMI7@@V)R9g<GMH`mCmWToIyg*m99Qiii#L;5VR*%-#
zPOvWj(X)kDe(LA4Sk2Ml0slp*;-UbN)eKs;Mi1W1#tLJ(g=lMVMH-*4$Yba0u87N`
z)|W_O6Hu_1<+fGD+AGPZUC<z^lC`p>$YpC*iDq$-!?>9@!Gl?FzkIH`<#m!L6$f?j
z_su~+l@BFEbG)L;l{LaQhdNCbWY8WZ)f>|}(t0V?8-j(myq?rrRH;?vz6lh;*O69(
zgD7GU9Bj~sdd|du$*dn54zO{b%w}6@l}kHV@~Ki{&s5O%7(U!v*)*8=wY2EvjO-g6
z8~~2Zb9R>a_ATA~UvgX~k9m=h#x({75B<T2^iq$}k(jEj;-QX!YgAg}aVBiT_8lqY
z@-eMGA<o~dQ5m%GJ;-6sRDSWn<#>|V{ilhmhg<Vi(+uj{QLEJH31)7Sqr-l#T^G-y
zZQeG-H}GlWXje4)KUI*G^`tCZlyIR33z<adrT#|+o?k|(htmO!;(m?D#=>nxF7C3G
z?~Ok8cw8i+T>i$>aKfW)pA)~BRp++AT2+(~22-b%qkL5G_wrueL6}7;tdni{ppM+j
zVV-blzsV$_p5QAQkSL~lb0LhxH9#h~kt9;^Ak%rLV;yBv<uylwx`I&`PaB)BH}{T0
z*JZnuJ{<0zmFcO0Mkwj|2&>07JPoL&G@7=Ni2xBBpA4_vX>%)$t)1YcQo~-|A^RrX
z{mI?o-Q8PPKyQIpkG&ix+%{1(dtXNP9TlvQF|F}r3YTc+FW4xMY#(L#WdUqQpGgpd
z<zeTA!G#j9mbV#&r7jb0`s$QBDL9rJq47R3bZI+ll;UZzXx{o~u)VHT>ab?+=H@)x
z(QhIr<kk6Z+)c8|;lNid-t8c8uqbo1Ff7my5X5gH7c?JGwKiB)2br_i%AB8JRX=b$
zG)o`OsRVpzZv?RPk;rbyV_4%^>x7vqcNF;qC;7f(5Y2ur^u2AeTVM7-&KHxquUBqT
zX1X6*fTS=`GQ_M>Qe+i%!P%j$U#l83s|t7IJ|e$Sn2=knC!z5fSXP{|)vQbqTNvR9
zl`RIFIOlwSQN%&)oiLKS(Z954#G`-x7}W#I@|kW-F6XoN(=hPc6UYqywGCp58D#7a
zdT6u^o$wc%_o11l*<ACce_)9i?BxZ3{=dg@3TBG=;H^`MRIf2pW_CHM0V@B53>45<
zOv~E*Uy;YZ`SVo(z@7K6S^j<sknsC!QwgvdT=A-P$$ygp<mDQOh_BlC`~jbTs1)M@
zS;?4{OaX@D*Zm#{b`^|5{Oa=QE19oYoAteWz^z<!dv)|XGr>qInW;2*NG9G9_asPA
z(H(o6-OwXiZ$^FPP*^DIXDM(|q`(LUN)4T|MG+4sqkug|9B%q~{Mlr_8X0ZsdEkxF
z2_KB=&{GD66RZE=@dbGYmM(Q)tyen3BAegvi_Puu8DCq0H&?cW!j%&}Aui=NnXUFe
zjYh51qZf`IZ|Jtu9m{gJm^t3!nc5I0MIP{QkLfdY7!G;;ppg>T?Dt8~DgOfa(=FvK
zJ?1_w>pHb=6?||;C<x*L@)<L87C*?LtJiX@$CHH|>MD<T#r^s3oW!$kQHI?tgxT33
zk;RJ^fM?Olbhm~ybL|8VOBFYpiuc&Ur}yaXRDgVPLOA+d+kTPH?;a}h36OW^FvlFy
z_Hm*JR4}3P#OxRe-+tnPARK>hyVKlq|0~>KFEsoe{BcTzFk1xLc1w_sc{Oa$WMt?j
zudz5Sjp6ochCCl?O5q*~ADGpWaSTlnBLE(lUx>+38b*b;SJP>Ju--7W@k{ZE)sEs9
z0%vrzEe31E-|{j3y>s-Ed5i~fmn^>$l64)yHZ|&8$2vEVMM)S>yTD&o)!P?2{QV@}
zY+(j5P=35dU5eOsXeS}6P@`a4yzoK1(BNqrl#fXdLxkyP6|mCDVvUIF=G!U1r7Q&-
zg&g%7s}B739O@Bz#&a&^J-%alEh;1=1ch=W;C5M^eExkKD5T~C0FED~4Sqe!c%k{d
zK}@&e=;X8(PcYim71r1<&QoLu(i`Byg>g&teVSI94qyZeLV(CPv=-7I<pt1+@QZ<H
z&I#1BF{}%jic_;Unr@ETM}5j0B#d+3K%q!H<f`_cmn*?80=^g5zjBN`7B;bA><}8^
zM*K;oBnbyc$KI3+#HACn&FuO3F|8$3Ww&O&`7kT$0y*;77cM(iq4s9TP5x;f&pqdF
zCea&NNbjg~BZcPV9&}-Xm$gUjes++h!@WcAe1?}wo@5)r37qwq;ty}X<4vvysP?<e
z$Lxc+|LIw<H^6GKdqPei{=J>+*1hIaYhp_r)NxBeJc>NU08p#}U5Y`*3S2!_S2{_^
z&<3+4oWDPOmW&)LVQ37!4CwO=tTxfq$;YIE9Hakx{?hegy)BUDyK`e7I3zOiWd?P!
z8-;g{#}b2yz?|1DMUoic<I*xV962VyJ8McJD8_pE`$B-Yo>~J^Q!}*gCwStb)#yk;
z3NjI(I1RW0k`h5(iKUjv1B5cmWrVu$n1&+*&~6LtYJ}hvf%?D0$zfVO?}?rnRys*f
zs**?Ym`Aixd@jqw1@ij=V0FKbMyEMMSRPbBKme?orlSK3T5eR)$9j5R2_F;0*d7f5
zotDA%21)Y}^uS^wz>>Dkxa6wgcdO`CzasaW9OV&So}<3$8YAH48eCe8CRJ<-I?j&>
zw<;EA-Ju%8zcUa72?n;)GCAK!mn{9I7`D`i=vq`8w_;>acBhFfW%^(bpAR|*^=I*b
zW0py5dXX0mkz*t(<rtBScQz`XbVP{5HGMEJs3fHC-BIb6zpYqoH*Z#l*31a9Wqt&!
z+b?Qoma}|VLyab*xy1z-9IIO^6HNOLU(y>jG0qUB-zkr~D_wqK)C&@U=tC9C?t<DP
zm{+f_rT1gFH}<*gw<iv_vZU>wD5s`4&@7U){yWU=Uoa>*i|PuPr+$2MBi$L!Sh}n{
z%9uPv6Q`it0}n&TsHBP*m<d=539!F2j_IGo9t3?t{LG(<Mx`$Jq|l^_-?c9X_1e&m
z6tu=kz#6)Cqf?);{T@0a{YpOdt`bPH^`Dc*g3|i+JYjWYo;CSer@4+WJQ9<03}bfQ
zxEEI4fEO+V5T@|rrZfJeV&a`HLmx*$KQ9c&Bbf3Q<Y}@=GFzAv5jkMhXl};|p4f)p
zjOKm|IPj)5!sA5w(dU}LuihmuGPa8WF~bqia6H+4`Ryk4w!r5<2TRkASL?S|62roC
zzL5FP^QPC(Gm|oDs$_1b1V8HKYYTaJEVJpQ=oj&q;)2ZZ9gt}dKJ!}lL~!xXDIjJr
z2-{lV0QI;+S~1kxdeN5r=*O^#i|Ez%*rBd~l#*KG@V!r~kw3Avzh|bR39?#dN`vT#
z<+sY2Vxx&UW6~hPtf&tZ&-czV`Qz_?4@{Q;XmpP!cLNdQA3;2t8hG65xvIWm%;{if
z&}*#w{O>hBCXRs^5GQAQmHH(_?%Ej1EQ3H4!TsYG)rWyew|4dCumP_IQe!z@xTkMY
zMgLM&zfcL}XU}7rcq?GFJwBfEp8+UAvTlfPrZN6>Aywo7r_@?IBS=jzfoXk@WfuJW
zFa6d6U|wAvcDjEXAD}cZK}B2j^LC#X(vPRxt_}gU8EJT)s)+2m&$eF?sP&0n?H5Kf
zM3uxEr{qD-?Tq8G3(7DsOW<(f1bkv|yFs}7$9@)Qv=|@{`$or=BQZt)#ZTr8+W$F%
za_iq)gDJQe{NQ;q07yN<d@rV^^#gT0J+P#D*$$v3X<S@f>BB@(S;d*pGU$xoQ##-~
zkMh}n_|*Op62>5BFbTRl<WBMt;;+BJrK1*h<tB{FB?JQ-0u}^+6^=cbkvL??h?zlC
z<4lW?^{}Kot${QOl*RltLLmsKD@2>S#TMa@e?88GQAhp3khui)evHJ!&CP9M)}G0=
zM?CH82cSoIm{>VpXHJ)_hs?jAL6G>}r#^5A(I~Xeah3f-KC~&Br6lf^X|GV12=tNB
z?s`&Yl@Z!MUvFo1D5C}`)Zgq;q=nTZfR{C*DWUUPz4;Mrl!ekf=HpQQy2xE)-up`J
zYsdWepGv?N$wPb(?<%KRI;)>7AuNK(|C+Xt$~QA`2t?)Su2|jTW}+o}mj#^H{hf+F
z5&a|4<O5ru?)ZMRe>ouZ=h3QQ$udoPZT_P`u~z{g@%;{X`dhvKEPD$xFyp;k^CkZo
z<`jkf(Ssv_1;l{ufcYo~?f(pu20W3%&*lFj>3lSj-e?xMbu!K0!zcq^oMydsx(9GH
zwZHa9{uv&@1ms<rZ|@(%fxcyekBx=%L(uW^UsR5f!aCC2SO2Dk|H6+Fn~9DjNt4#t
z{@&h*{Oo?PWoF6_gv%$6z5G-MLJ&ZhmO#h8r6tRkLO{&5K>t*5`Q9q-r{F_iolAfp
zW08OAb4p)0@zxZZ7scHBX;(KlT2Q^PvA~=K5ce4n_egjxMC+KidN=}<i^}uRuJZIi
zC85JVy>#%*hX4)T<3|(|B_MV)tt~WW;KoIN=n>RCIj4L)MHnUCP3;nEa5u&#$7Z7T
zG3eOMBaq_<5EBC#(0@5s18T54_Is7vw;&*v3lUuU0dDDnYn*L@$ci`gaTR8JVZY9R
zh!1#+>^&OollSYf!$2Qe!bdeoG|J8ct7OD+6e9m-Z{jV;5H7fZutueqjaxbUF;F5D
zC8|4bOCyvHk-Iu}_?)}pmHnk--T+{hvxTm+6=DNl{&v<4wNMHUx<^|@hDZTBz%b@O
z%9Df=JAN9R8oZ#l#9RJ7fQ%)N79@(m2SC^eRhxHCAK@Y4v!7K&Nl{Z%{~zqpcI-Fm
zrw9GNPI>5jep#_5^8}YMD$--pc-XJC@QSWAa|z+RGJ&u?E-R40MX`gWO9sorAe>8Z
zB3GvPU~~5DG%UtIoj@D_YI@)Xc1qk-PQ(tz2`wQh88aB;bSj7j%vVHPIZS_ap6L&7
zSFc)w%n;H8=_Z6R2jG`BhC3)#DI3Lkoh>e(7QECOI7Qwu>HMbS*@~H;A@XopC+3L6
zsPNoBI@g`WVJQhfRS$^A)MR=cPe+$m9s`$en~M~eId;R3G7D5dw2$`Bj@LHb2eCfa
zl`k20`<dqdA%1}uS)ZDl%iwC|J&|VCLX-dU3W(xg!lrK>69&vI(IwD}8F{dT1Z}(4
zz&+FQ$+t3~qWDuAmCz61NFxidDI<3C^(P`*OMVFy6d$h%yzE640>-qx0ywB0iz5i0
zJ{|VRk6>9B`aV0=h$H^dk%JZa|Npot8H_({n!OvGOekpdrUrP4I~r(EM{DH%UwG>|
z;(G>7YES*Ls_6&=nd1M_&J9D9UT8BU4bAjSwy7hzYdUl=Xa^-_WCh8H#fg(c1KyA+
z{N|``a&K@dipj}OsK@PzLo>$a`LFN6dr!6}kLBwrtF=yFth)GK_zh&{My>+VIrm_@
zthA5oMVEO49FWn6W?=%2;OQ1;1j6bT+=qY*kLpd{6#)e`!=23?mp<Nmev2SPI;RCr
zMpy_qodjv5vyx*WMjjNAQvE~}d?~uAUb_@QF#ye#0xQwtAVM8{ypoDmn2(4hBb&W&
zj6XRx?|15_dCl+pO{|cm`yysFsj7ct-XjB5@K)@Fbe_@P1sA>>cw98f%~_wjTFN5x
zP@SWXcGm1OSy|b~0ptg#;>^v>F9TG7Op>nvHMtwAT<RD`B!ez>bjlNeUCBR!rZ)>Q
zgRQhXW!2CO<+0q-%&z$=^b#CWQufx9Sp$XD12@54<cHI7eW2f6C>8&=T~Hos{+u<B
z!t-Y*NHvQUk;&F3q1gp@9L_E@t1Ya&W|QzVep99{b}I{6x;%^DjXtR3W*3UiU;duO
zYm6&hvHjvRgCCed7RKs%IC9Mpc`W>YsAC54QZ`X?%fIdye-iLH_CJrC>SHb$RxbwH
z668D^ECNloegUtPvfJO)wFb_dgY$Oz_JsnTGKA>P;Y&+P0;mrIekjVZr)LMz$-fgX
zc}_zQ)Eoc>><8k7-Ac->+}s2=k#QV`65;W3`EHv_pg^)bXb@fx7s~zq;jZ884X4Yu
z;DS9;kwbwc_JyleDTO8p9**F3Tqdng*j^$eJvr5jEGR;^n5yDb!f3=fDs-vjyVy5A
z3_wl(iPX`2VaLWKL7oLg`WsokDAH|`EZ2rmqs#X@x3&;bGME3#xS?aD)+TdbY#dY6
z-XAjeUSk%0v5sv&emb49#+py`Tr5Ly`N^srO$!Upf`27o_Ob(`r2c572RO7%HN|f?
zO|%_(-MGwlpumh=+ZyvSQxzy&4w`ftd~^oe3ZU-o4gUPNXwc(|WGzLulZ2qWtPI5D
zyidCsE3X!Dv^5Vg>92x1{3d6!I{2VESUmM=vd-C>g#idq|I~zl$(mEG!e&Ckk&4T>
z8PxU`by<C)x!d!_vu0ub?R6Q0fEW$!UKNE%b{O|yU+7nzAoH34vfWK2x?J@Qx#)Wv
zB#PI$$N38GMx^?_p_jZ$+tuXG^IF2}Zelvo{C9q8*@-T_aN|{6yI;E_6l1pUGST->
zPS%iz1h@)Z$*cYsX+ztk5cG1y9t~ypILEc4DU3%VUyT<P-F|*C7X@0>8oA%^z1}Ss
z%lBsee)?d6*@aPwi5Ie~>@Gozq|TtR!!2s3L>&HEP$WRQTRBzs3I^d^o{p>hu5z0E
zb^T5exs^9OBLxzVg6?*WjlkXdBV8YsEd$(>&-O_qYy1|bsyKZ}o^cB$37>GX)ssH^
zSs3?&OP!F0*bg?nrmqueg41rB>jIpLnx;XAz$b1GhjeyvajG07x5g=7XiYotT8%Ud
zG5-w1YXjHWxEb`Kwm^Fd!QAb)GPm^WKoMooB{pQ2pQGkM2^`$X{m7Hb{hm!%UY_Ax
zzOR+boBL7NA!d{I?Ih<rF$JU*&{;2!k9=WeW_6v=5Vwx|<Vt=)4=R#xaEtR@yA-x3
zJ?Bm)ikXvZue`!~p@XzlWOo6a>Q39ap7_ADdTAYC61GW6Or80@FSvfR&<CdP*eBEQ
zIjy;+CiZAxTFvmZ?A{Wfv>YXVr-34XMGqmeqHoO_%u<-+Y;gK;E~G@Fg7~#kDL#3D
z{>H>cOw|$$p07;Yueow$J)kipc{@o#QEtC`oibSiC1=+?rO=b7c2g-;%=-q0q*c^C
zquywYHtShtXoNLav38l?3hSA3pR4`x6MtkB;0RyadB`e&m`l_ar!VV33Yx&y>fbt2
z!U7|js8p)5RG%bamRt?G{qb*^2`8rG;h3*)zS0$mRVei?fN4CkK1K7zLk2^a6u9XN
zPUK4DRa<JemE2hAdXn?CWLenY7_2_2fjzPIoVqN8%R29BAC^g)oeZxhC?LvV*c{kD
zFb)s+z?`l0(T$Hyry_DUY9*Ob$DgB^N>uvYkBrZ{6u%Ggo`@|_e{NW7tNb?-CH7vd
z&2qbyJ?kN4fKfw#VHd|}y{+k0mf|9VTn@V?p`iCnU7j&5mNz@}o~ThW-H<XFY>p`P
zjtXVE4{n<+@fvG4X&=g-ePI&uTy&-S!nq3^sUi82OfNr|NT9620r}$6Qu2eFD4lXg
z)=l<u)PQ-Qn`(t&coE1QVw>lmY7!uc3NwNu|8m#M_qv`g*JL9W@>ELJ9~c^NxhaM5
zw>?j)eZi{M@YeH_nDvyfmftyPDkFN|0{A_jjtfhIWOV^X%|Ob0-@zw(HJGx~RNL*7
z_BPsVZrY0Uk=d0qjZY;KV$!H2jUK#j_utv4TqV2Ex~JoPNmOh(38$FW@Tsuo{H9pX
z2;VPIgOuAOMD*rE=L+S-&6U=l6QOjwX^M*?{r?#6f=mpX5F)9ESFgU6DIF!-bTL?c
z-P39@Q~9X*I*CyiOJd{$qn&r;Ht(cWEH`9d7?azcrwB?lFb*##vJ<`0IK&=x(Lguk
zTgV$&=~uFqpeHIH?>Gisw&9RzhGyFsnm`<*TNgKn-UvnYGq~pp^12u^L{!?$WX<Bh
z0;k&T>3c=%zF_PZh24IbU`h1t6O~Lk1;cj}ROA&xY+wpp>zC&8o>J;-pUZzCfp>T5
zt^|W*j1MQbJigCV^yIG;nFH}zLS#QVwLiHc&e-~<;Xi?%?G?m?{~7inXC?#oIp3b9
zYr>t>guEXEpNLjoZM&ypcvk-{{=&DO9QXU*CT}TQ=nHm*HVcr5NVm!&;sK^lR=mwQ
zN12o&i!x+m&Y{1MW3!nGqr67+_O*0OvaT@?Kha{>cM@_|yF~x@1+q_5!nnUdbNk7f
z3Z#9ypSUHD&yI*8lOJ5Y{=U0bOe{&mwdRUcB-Wkqc7K}HF0p1AA88C@?c`CCiVnEv
z`8gbsbb}@&!Ct}Fu;4DH%ck0C`EjC`9otfM8*i*3IS%wBmZLIKR;Ft3u;R$S2Rb>X
zHoI+b?#!KQ^EgH403^MFj?*YTsadU)sy1TFdxRZTKyUMgj#N%5q&}=N1#yl&|4WS^
zK{uUrz|NEO=U7IA3&qW_S?Lvf4*2*d`Q(1kw`QZ<5XwvNnWH@yrxPt=oa!HWCRq2e
zzKTiSv=dD8iKb#1nY&>$;=-XWP#YNY0xmMA``T*z((Zc~_Kbg%0c7Nt9<B!`afQ9V
zmDz&25mT8rrE-G-+Eu4=DgBOk7kimxJ{2Pm4fG>rSn<uaRBKS8gWO#!I8*~>;nHq+
zKABh$WnK>?A#Q_piA%qT?`P%6_bs*R$9JuA<NiLc42<Px{G5Uqb0fTuXUT8Lp3Tp2
zt?o6ep!<c|M-j!~1k`8UosjyQQDU%xv(}ibZTREUT6Z7IJ>Jc}T}^!U5w~P_@Q>Zv
zNx_7(oYpH5FE3@qodQ#|v!Rsorkk#|N@-QY9`4q>b7`sktEy|t=T8VVrB+Mn4c5O*
z(-A&W)P;?MRJaB6JwjbVL@tjYmQZ`d4ncF$zla0us$u65^Im=Siq)43@#*PG{2a!g
z`=Tc<j<h~T?5of%T0@y%Cb}5%F%Pela|p7=I_94Mu|F>t^Td8=zsUQewzdz8op#)g
zIa$9N1rteK{GSoiqr~Piqw}7TezeuaSmI@rOv_hI()_HQujE4amvcRGv-p5Op39H(
zd#-NgU1zSM@lJB=PI3qJrWPX7ql*;li%d_B5dR?=rip*=rW_MbOLuLAe?dpWk5vf_
zP=?6fVjP~RGXR4KR*O_9=SLW>ssC+0(X)Ah0ps@VVodgbaHX*#E$VS&wGL`A2D24s
ztg`HeuKRrs0-~w)+_6iaLZJU8^Yb;LC~gRopZ{`nNH~ePMO$SRu{VI^G5a6y@e{lr
z=~C)ix%oe<bRD*!eX}Dx>D`%}{xAM;m8BTWrP*1%r+hlyiLZa%Puo^kl%hTRwAOL-
zA0Yw=B>kNjemqmGMAMvM5m7k(k4hT*P-=Qqo{TPrB?u+BjAeJOY6&)WOSh!hI?4=4
zp`)sQUms2~%j;&$D-pHnoWeg$YKvD<t+UhRM9u!CwY3#w2UET<vFA4n>MA9M17Nor
z-z!vCyS{Soa@vc@ALFMdHvhP0GE)C1je^fsX?&%=5S#Ur_^!V}T&4zxzovQgzhRFk
z!;^04D8(4KlOa7?Ou!XT-iN6FWUUj$pwO!?R^?-q7&0zeOtO45Z_N2b<#vB8rFEVQ
zwBT|C)zqAvl=WywCc*_;&arE4spkks8yZrH^c4S(DBj1;d&4Ep*pf>0;L1m<6+vm|
z&SYs~<Nm1)3|TV(n?ZOW?7n4vZ%BpSfw!nm|6{DMwF=7!%cA8!rW{Bh><Zq!U$XsN
zs3}8>R}duAPHL$xenrU+uiRlC@-k-Rf&gg!0|4klroj*0ma>qv*_gar&|lScd_v`E
zR{3%or#BXU%cq_qto{R&n#5#K@WN&2$i)4f6tTC#mt=p|zo93#z$@)H+%W1}m;uoX
zx^UI^AWEKq8_)}`E=tpJ!E-gYEE<-iqO7_io*Q>LqR*oI4UO>MU1W^Ag;%yfGsip9
z{}y7MtXrgzAhO@g)z(at&W^DL!02v~)oANVJ)GEMSA6*u1{JdZQtaZRqQ@tBnd1Rf
z9?_+0p8d#1Yq-Q~z%Cuh3Scz_uch|aj$J%Nx4(-Xem@4N^Ybq0!x=>F803-YX^Q`d
zDiuY#`=h2|nK1^|4}dOwQWV;}?6yJcy&a-40m43N0ek;*vX$3YY6ER6(!XCMprB16
z@-UDoSo$B?`c5P@$LZU`_}bPi*tX)~&J?{})zC)3yk}{A@hCmPCGVt~`1trZL8pfd
zT^F&(q)MS0??b5yN9jxd!RqM6T!jW;8BezOSFX@t@)fOFk1hx&1QK#P>!f@Db?%m5
zTr>7*K&;cjO+#$Cqw#C%tONh6Hs3G$yEiQ<jS0igAewhTu|E<I+~5=++_CQaG{hC4
z7u3jz&LhdSfQcH+JU?k8=46lmHO?VoRUbGZ3`qB;!27KgAaWe+=;-L}eI%dXO(BkP
kEC2p~{24IQcVUNwKP=MP4ytb^VSqo<_vP<pi|alAe~Ctkm;e9(

literal 0
HcmV?d00001

diff --git a/chapter_stack_and_queue/deque.assets/linkedlist_deque.png b/chapter_stack_and_queue/deque.assets/linkedlist_deque.png
index 2337972f7592805af08b6e0c91a8e5c5e8901cf8..e0e64bde2bcbd2e24e53b37faf1964d168312e28 100644
GIT binary patch
literal 58678
zcmeFZbySqy8#O#2jg*vvgrI^TV1R_u0t(VG)BvL7(A}xx0|F|gfOOB$-5{Z$G(!&|
z-8Ixu@4=`1`L6H#@B8Ch>(M1MENAZf+}AnhI(zSHpYw-`k{lTc0|^8IA$$Djp&A5&
z58mQ-6XAjv2^M)A@Pgy0CMN~S>%6=OetBV{{n%7d5yA!D6G8BCE<nzmeFXf4;4u9B
z^4VA9aTx!3uZF|<*Jr>rgDfC;KR*wF=z`a?KSto+*?0bYJ(q;@?-i49|Nb;SB<bAW
z?{T}qry;%%CB484vE3sbM+k(x`RpG~6gN2|XgB2XLrD!coE0=-4Gju?YQLyhg(2r+
zm8ZPH7Lbzsu<?S1290Nk`%Ptj+0%^IvCT9JDPppUG;i?9RPpd{kXS}?aV91C`T6lL
zvVJ<<+iHriAFXv=Us)SQchzl;#Eaf_ocr#nRXZVi*G!&C$ZqnM0THVo1oxL8GgT79
zDJ+u-qMj}*Lxu3cyjns-`A&~0E=_r!p=yEIc3oXes}3~|9;F22mmkE<=cDLu@w~8n
zSwv_^%cYT}U+GZkFdMv}mDBwphqlaWxX6063|;LS!wb{(bjUaA($Hy!6*2sJ>$8@~
z(A!m_NIYEgj}P}^_zX`rnke$Ma&?mnOWs0|3)S}1vd#)*H;%6pH4HfCX86z?-_riQ
zE&d;HdvN-;G8F2$I3dd>I|A?ljq_o{k(#X?h^p`It0SchJ3Q(cZxreqA;{Go)#@I#
zTBMOD>I+`=bE@Cl^9R0umDAHclHlqQ6%$XU@AW}<HtM_&`5E-fZD24KrsB;Z9Jl$-
zPw)X`4}p9=epB5<Ex9Z@Ku}ZLG1_@mbdEgh;jeK5VM}^}8(eMKIIdZsI`R5EQr^Uf
zCl{J;&=O3Wx_6NsVmndijjnPIu8;@qv#NxyucgmvgxN$g{1$OMDSErxLn-;=JjC?p
zaag==K$g?7BF;<ZKFHVP4+)GykMj&_M|$&RL#-DEjSIfj(s`g+3*fgezRK0Jp~C<D
zYQdaug<xDuIZQGBJOp}csOq)(QU{FC#vX3LfL^6T`fge?0<-+eS5qbZLjL$_`loCo
z7*z7mk%b3a6)yAOftK`dkJ*67=8!I<gy<*X(jF#hZ{p&_R7o1e_%jMv($ui*d%6<9
z2e?aVpVaf7lgpeiYIZh(PL^Ex-@(YLB85X*70nMDFBwBb=O%eDQoC>uDOp?2zanF-
z5<3!vEdL=FyDe-yImqi@=31^WXkK81c34&WpRxI8%z1;VzGeq-?G!OUiPj#4@W&!t
zU+T-i_N>yRakNP>H4~F=wzsf3Cq{?(gAWjsBc<}?gOhCK<o{Qs-qR7uDsk(n%O~xs
zt~c`Mgzu{5XnxS_&($r>$+hEza8o0QHFefd@*b5%JVmafPu4AaqOA97*nfLA$~-@O
zWq9996?`>B;qx3<lc7l;&D2Nm7+LNOt$YKR0tNmgm^0Z|6l!+Y#BwGLMkGw&{j_6Z
zDey5il3%9m&l!C6%4AWVHN3H}MVa>I@<{bSVL(WEdjm-gou2}H6HI5PrzLt|xcAC&
zFTj?EJii~~bLW1)|ND4PCc^8>Vt7KSTKb5O-W2v#b5e5!Rfdn__9cwTM$*nYDz~}^
zADS<-Tf{I<^;?vQpp(^OIvb~r(daKm$wukx#swi&!L=g=lNT0X)h@#fe@s{l>dN7J
z4t_17wW3=8{SnfX8l<v9(y2c7qY#vvYAc%gB(i=xc4@Cou;!vJ_}(SXNQ3G^hQqJ_
zSF5w>3SL|KYaEhfXdId|6<{Z;jq~Yb2#l(AMN+PmQ;aG;{94Ae5%xccj@3_s0gpx%
zCR7^mQfqZYDxdb|xNe8<xdQx=Ndg<u<tlj3fIU28s$mHK_aIT>^2X~nN+AY%<Z8#h
z<{=7cK|=!(vVxYQ)u^#{D)<)FFRAftruml;YYUaSe#`X;AF4(aqDXM<>@>Lv%k3Gp
zO`5+<#zy`g%SYi74~0Tc%mqBkV?3NWA$q48%OXqd=MO}vfA4x9l8S|;&q(ZIyA~%=
z!&*8QLNk<6&PCzIZ<(ESGS_c**yw@_@gUZV6C#JqG}*MQ5!DcR^}lg>Ym3|Xno%^2
zQI%R4*GjwbI`T5IO;9C_{(qmTLC=4odkGiGtv!Fr=vUehN;6vYTC-ME_xJ1h`Qfn{
zBc*H#GFTy_^RF?Cn^f|@XP+bb*F?p;J;v*MYdGZBpPhyWGqe3RUEWGGNacl81>xE`
zJ#>LzH4l;bef+pxOS;AQ$u2htA4kaeBNUc-_xDdksx%m{CsR#cC~KMf{r}u}B_O*;
zcs-*3+ctkYJfemvp<a^z9Rz;!xOhfg%9QBe(jJkVALMcvd+u+s|L@}eh2_7|^4}!-
zFSq=fM*qu-|7FGhvf_VP@xQG2Usn8=Oa2F;|6>;a5w8Du=>PKn|FGhJSn>ZutY{*-
z&T^*ZoZ<uNRn+wR#hqfWgDvS-=WmoWh0yUZ+%|r=JdoRUf4ycQ%Fu1<B@kvy;e%@*
zo`q%W6q{m5`hO98-o`_4goFjlq*x8{WJ4JQp0&Q2>|qwNGaAf;K@Gi~<L+4_eNZ`?
zU1EpGc2HR1;)hT$-doAeOz3TY_9ZM=uiU09K{S`j6B>OoI&o5FJ0a$6)t}X~-6d{V
zcJnlrghW;LAF=(BfnWX2i1KF&cw3T2Q=eZ(a43g~^;-00puP9d-iN!Wlv>Zd5fTQR
zFoU}(8NR0{>~dja1y2K)*6UACKxO5|LY4CgcCcO-%LC0DtKAz{z&hWd`M0<u4`eak
z$}2pqZ^LmJ2yF(CADJp;w4$c*jbPhHZ5)Y08RSeNHOIT7*b47M7c!=D>(K$aT*G>w
z_Q)GrV%UY$c_y!6xzKyd!RFlCzbLR04!C%eGh;&}{x#GUQ?D33Fbm0yPOB~x(L8!p
z3P~`?K!Np>7!X?vbHO<_7*Q@1lX5_4n0K=EjgJFzpX?VEw2k-{sgr|^)k}$S;{F^>
z1bBFb=$nP?;@jWvGD#Nl`n%|<{tGW8SUYgvKr%1Iqp!Se!371bV@#j2GlXGrbud5i
z{`*h&U3G=Wi3&2D>V5=sk6{}>#|t}}b|qK~fH>NWRoL5QbF=s!ZRS0}`BxA1p8+Ca
zTV)|F?g8g5i{7jER}5-BH1iG6RGb&99ln1qBs65;)EW!bmfSn2V!)q#UHw`hx8!rN
zo<Hs{$nP2zD<tM&xHZ*RKL0<cIYw~g9#orm#0qGwliY^Yfe`E2R9>57LmVA+`7#%3
zxDRD~3(lHn|K$pgiR>usE|^;dNF<P$|KPswpop#kt<IcuSO;OfXFI;K^s6d783kc)
zF!)3+66iOGTR!1)7=TY&ceJG-I$++Pr8=MJTjxB8Z{*#t_!$(WxG}eQt5=HL1kb}q
z^Xsrnx#i<rB~)6!1U5+<bg8j@;T>Feo+Q%u`Bh6f)$4V7B(^o1vfm*`J#s9x*C6mB
zZuA7BvLl!an{=w-|4Ppiz2Mtvi$j$DUNj3sg{e%tMJC@c`xAFe+7}uh-FI2Bqw|=_
z=jPxX^F2K#jxHklCHxv^&&{P_LG2$;o28N*0IRAo>te3na$oAtZcIJ?5yE%RYKRh<
z{N~@=`Eh_z;OW4&K!96EYEC}C*q6CXVkTp_3<rfc%?}UU9SW8S$uGMtrpNefMI_>J
zr+(wB*$A*^u6-mh@(s)_dPl0LUo_;aJQ5J4*f28Cc{qyeN8QpCHzr1&mfN7KOgmzW
z&AJAVP_4dt-_zUATC<Lp5cviUZP!2!P=KVlr?E31FzQ!!6Os}_Gk$5J1Qk9}gUkzK
z0lY0(lFu;~R4(HLZ4)HNytX^i<)b|2KANqhZf#hXqwiUdlsGRBSRnUjV+=vxAgJGl
zvWSZ{s?q&YP<u;)gZpQY#%LBs%WWgBD_Ztv*<%+o%PsomqM!ynrR^?RfrJ#idSxpO
z{^t_ieh{O~d;D<DEuj$f6e&-eUbS~^Mz4)kZpYcy{ZSt2@e6NzPt6M9m~Yi0nn`V_
zBs6rHah&h;#`MVLBKbX+vNLnM26W6Uo@i6t9s$);m@9f`e>xoAdsC0&2P{Scnx`+E
z((8Q$ioHAEpYFZ;by6e~QTj<gO{2owQkVqUiBZHUi#hOlkT=?SFp3v;E4^mzuy*4!
zX%HD>#@6STq&v+<xpdp^^|99!*jqRIo$BptWcq)pyuB@v7!#L>uz5#DCBa&bFB{H$
z+;EPf;@M?>^S61gU0CufeguEKYu1@4ZYaR;wRW?WQ9$Lg=uowJ4_i6$ucg3V_6A44
zzUl7<lwX<rl|G3G*o+N@&6o5kg}D8A*Xq1pInV66XA4I8voHv}x#GzYG+;E)@yk1Q
z$$wLKHJE-D9A-g8&olizEmZ>v$ebMWc|F(qGQ%@G!pIS^e7fpS(H_gWuqvk>%i9#L
zApP_-eYR0t!*QYcB}YrqaHeN^@EX?DfT}w~c~3Q2+tB12bidhpkMH!WA>vpm2#ziO
z?#l49J*=e&VzQnPgG~J(UA-m&YW&IHFW2-yPs@6w-&?%|^<z9eM?D?MKJ#Jg23<M0
z?9JI<6ATqDR$X1-aBscb^%x&fG``czQsTL{hVtyoP`rc_W;YE!?4>MGAF{Ypn-j=#
zA=5DTf@lMRA1rC;g^Uz9O<72VDW>e#)sj-#&(m+ZP34zVa5hWds)KY8FY@W~`CsxI
zm~Rpfz$kujY3a9unS;C^Bwjr;BJkhv{>)6TIV2!q9MYn{T||kP($8_p$>G*7Gx%%;
z-voJl^LdusKYjG`B42NSdn$cWA}9Da=bXJ`O#lmh!ug%wE+TwQ0@9h?*Vgz8CO8AL
z&0vmviAZMt?IM}rp2E%|!WVy;PG==UHxK}~JHHOzvy03`f_r8vaS#Uno6FALfiOZY
zE5G`6PM%#P{sJpxzJGDX2>kNveSd%e{Qo8B{%QE+m%Xmlx@X+`-fLqP9CG|mZP1-p
z<z82KViV{vlSe^Dvuf$`l?=9|IwRJ$qKg;*?)0}5Ae3H0-!8M`+T-7pC1^_P%@^}X
z@GmYIwO2kz`fq4@*+3E}y?bA>K>>%JeQ$kYT|~Re$)fA7U9`(6vHHIu{Cd_4>RT)H
zIDB|C*Q0z^VN7aRl-#!l0}P)MM-jMg*elC_`qQ5uM7s~K!-jH0u^}{7_k&YlgM59?
zrVFKzLiOtCaHja*BS^xBgwk(&yT-Afh=!=*RyJlCw*Y+%zci$radWjS@dJkB?@s*6
zjl&!m3C)ZPlwnnqc-mWg{mF;P_IJzfyTdzohs-oR1{ACQ9U_x45S*d>ZAn|ouaSPe
z(`k<*?v(DO?IFY>JR=64N&nqa)(J2c4_sP>4e*SKD$XyG+}7I4Z{Hc9Jz8cL1xe(u
z&uu*NgRJzlC2{}V?7xO$HZ?0GvokvSx4HQMj6qMQI}5*+P$ibY&9aNrP5!?7U)K-E
zb0aU1;|R?AcltEbXqVY9_L6-oF+a!%aIKBD(azbMD~(;QwFou!7(}?|ns!*;6W5+0
z15JE=1x$H=DcZk#-_MT%x4m|q*L|?a=KIMITlwc|1(JcK;Vqil#NM3APxNQAhlUkG
zD8TveLh;;yRb;Q~ok8fP?x|H86uy*7Mvh3@eEM?AHRg$`&id7-!W&W$|0FOBvLrA4
z9T*AL2wbWjXl1$Cw}d5?8q&C2G2_L^7WII~+HrRo;@cwH>!>y!gW&ZIC-MCqJPBq}
z&We%A-1GcyjPG=#LIrx`_L+@Fo2|{saugZKTz1^8z9+N4T|XPcrv!FK|9r0%pT;Jr
z>#_|R7>OonJBe-1g;f!{1>YNt*XAWgNSyE7KS)1Ew9gLe+VlF|)PIMWl?8vS!S*3W
z@vSHIts56ctsB+|j7%nt&JUE)g;Vo?X2YZWstFQaUV=^->EBQG6&EMQ2QAP=RgS~q
zeSXc-GNgLfCPo^ec*m}{!0NSx7Ad7)F&5L~{?A=P@Dt($#`2yr_gcJ$ZLe(EY0J^p
z;0S&2cjntn=QvLc=PLo@bC^v<L{CIs{NEwt@VKEDEP^hJPyw5vdt>aH#lZuX>X)>u
z)g>GCs!3h>N`PPC1l;aeTn<C|Px}OLT2vViQMZt-KF-6%jATkZ$z10q?mx|PNkbnO
z?d8+dpl}pgZj7*Zu=)7~f#N-dG70RTA?={k0Gqc8EWC$bGCQTgQZ^SmuvS9vSyRAx
zNomK&f&~Zf0RZQJ!o|Ph|CSz?_t<iPoAJ<@LPEZ4Q;%REkH?4moZeNXuJK_~T%zY%
zU`f*P-TjC3%*6QNW|9we9K_FI-~%2F?@8JlcC*snV6N16ipYid34&JHD&aHzvxGUo
z8rCYE7X{VJC#x<M@N-1l5JY=qc)VZch@X~jxQ~Nd;F|e@{2z!{$z{}3zbnM%%Ht$U
zKG5MeYeO(6weTjM$R$`J7T=BBF1B%)>91KaQ_+wj6LMWS0U3x?O>K3b{{)Rp^#)iF
z0K<t&$9a%QW%5stw!3@}W@B>J2XaRjGZUF>rD|eB83n}-W+DJK=2Xx4zFI!PY+G7_
zs-7|&O?^34vMTB!w<NKx+u?Mjq=P7TIfYL&*&SmE7JLcbvo&|o%HihU0o205N1G*j
zmjSW}h-$7*amK3W=8u*fjf2<hVVv@i6L5R$<JM5d35Rby90_j5&9|Q<ig^zpb#nT7
zgK7N+kvexhFy__^(h!&FTAO{rAGhvq^+@Ft_zSQiPc105-G$gipJoCq!3>78NBmi*
z{LCpcu?>KS?*MM?0&Gp;V%RJKUBdGhZ@FzuRyi-Pjh1(jms$<89VhSP`yPKAFf25F
zNf4^uSOVCyS%Uj@({F(NhlY*a9z37kd;OEcQ=!Ov3casMYnMI{ytstNOMHEl?JX^?
z40g{!>oW1DfBb*FH#T+#4F?g>E?%W^z$U-GWB>Bzk|RK}ntA%eRmt{)QirLCNDifV
zbHpcy_8S1ys~%L&C+HOz`HyNzw`=*V*X{wzKD*=z$a16E-fc-qsO0JKx^H;pX8_py
zsQm(6Pg_?WXK?XgEcJCoHJCd!1c&%=iPC^8C7#)AH{h>CU3tAbU4i}@DqB5MY^PtH
zl%BVL3a|_KaFGd6AIhY8<RLzw-)R#{>()+c0iUpL0;Ia*<J~Xqjjm)=%d?gY0+uuF
z3G^##hH<t!u+m%c`iTh5tbwK1T07+V&}{wL($N9rNRj1YYr6b?TWLn_7;6EV_`7EJ
zV}+tCxH=$3cLw)8<oIjaH}LuM=#||xtUDTd7LMAm0I-?k$%hR<q5wr&_C1;R1*5>s
zn};8=%#5aDmmO+n_ydKdhdK3h`Ro>VQ)n(?TN!QN3?s>}n0j+@#SNHenDU(G81#wB
zfO#;v>mJ;htskvP+77ALIm!<=9Inlubbax@W<|*;FM#)tE2C_a^<aHGb$m$iZ-YcV
zcgMiA09@bxTQpCX_~{YL@q(N;7PB~1INkZ_KDQP!%id_&=3t9Avt^;4fai4oi}=Wf
z?HP(+#n}36GoqnL_kvgf_&uiumGTa1<p)opVy^4suwv^<Y=&Z7mBSCI#olzlDnB<b
zr#V?{VCQG!qOX<bi)b!kgsbvDA4PxC6EiF?(8%tUW3tyM4MyprY*42ka848M->Eb$
z)x3pqpmpkfbC!MqODg`s-}CsN6?$^>3kwvh85Dg}XA3Z#^DJUVBk=rHbalD2Jz(=%
z-8Z{8MRLauLBJQcEcB*cP%E8r-IMLa(;+!gibcR=97n?#1ln;6F4z`~=NjRQDm*5B
zpk4X2iQq8Hy^>!YYWJ>vwmnLHDJ<(ri=1a&UiFFa;)_a~!zz2y)&YdB?+<!vmsL>=
zchh88ObHUL_PD|+yZ4Y{MLF+u;M(4Ut9b!RVefJ&zn<|@t@!IAfBZE%nThqm=mS09
zx6%O!uU0uf<ACVi*mff!%Mnnj2EL@=P1@EUYZVSKy*KT0FcCe!7|fmLc6z)A3tg3A
z5nzl)3~J~xIJzunZ2+cSB@noyrPUCY)vsddfxFR5hA&-rt^PzO^t=A;yFWPjX^;^8
zI;(>m+8mp49XpZtp7_%FBHx?dzJK<d8}Epo6>{hsws7UI)Ukg}rPjmQq@R?xLgHC{
zY>PbfA;OoTtki(+8U%q4>v~|)9{Kv5I_I(P>H6tnk9_@p3m+TZVk$EcG6n_BQhC~&
z_PA$xMo)2iNzv)+eV294$5>5LI*+K{2<D_tLH96v|C_X|5VOTUQb&I#D`w)Gx+Ra4
zy{yM;D&@RWxU=cA)Y99@1jmvX{hZg=Krj2YUNRdJ8_YMfeTf$%0mp}ZN6K+BxsKUy
z&vo>T^_2bLP-@AaX2lZWImoYDMJqgB#tqH$+8s8V=IMy`Kx6e%jYD_IeC@0P1KbNt
zWkS!>?@6q5&H#8-TRl^dwywszrlbQ_z+OH8j_ZXzf95kliP8;4Kfc1msdETSHP-A5
z=uwCt+1W(_-*!Im9V?#HI4^7IVZXA6FW5{?#%eL&dH&keQ|x$hxwuQL?|iRT{yc;m
zf<W$jY_)O7*<M6GzSR`XFhD!f7!^3nSGUjBfiq;H;LILrrBi6t66ZPggWPg$(2;{L
zVMXkxz4rnb^3;<BME*CahiWX;cNheUkbO=deDo?<&8@brz@)<#>h2>=-XGV;)zsBw
zzRQ~|S6iewE3X5=#FSbRnyafB*p^?r8+$$AWQxLf|8U||%zpZyMx&{I)YUd$qwKwD
zd300ZPB^S^5wS2Dxc%|<Gr50h*;^Cb*eS;$@e}*$4ncbCP}|M>1^rI0pIwy~SJ3%}
zmb(%N_bWz=V8YkB+m~E^K7>onq2#sENVxOhDO@{w1id#}@U&^T*sT6wE{=HD9S9_3
z4E&sPBv1qQ^lMEY6jsA#KZK}hEY4|b9VU-Gt#%n5A<R6|Q9d_-fuiFQ#|k`}SV~2o
zwan2X%CDcoH5NWSp}G#xjRY}}jjrK6cf|9e`XKJQ)=tZf8LyKjG{nx>i(e08v8`o?
zczQ*9turhR?%j<nI@wvDFqAI69S60n1>I=f1I7-Ot$;!%$aysi^;EgmKz0}{vtDbR
ze4V~)519V#WzCNq&}%E><(`cr_=dIz*bHXD<t)8^OV#&~%M=lSgnqs4AFwRzcEwME
zoXE>=WAWW?!nvTPE3A{1kj24m>d4+Tixkrice>-=C?STPQkWo+qGUqoVrPWs+UfiP
zH?;-8g0M1LzOL+xRYx0Lwlx=Y(+8M?$Olttr3?vkW3ba^8kp&lRYf@DzAyRMs}!B~
z%qj$eJ4JE}_i`Rb?rdZOqixO8Z95mB+XMIUAK{9EPN7WqwJ7{+wma_wzy77dBA+*>
zUqA<bzx^eP>G%(7tY*9A>9>}UQuSJde!b7}Yx0dA7MxG4o|Bo^3wj<3y>xjZ32%N)
z1=dKh^_uMzsL#|(dj2PA>rr*E9>bc2oor$mKMW(uvoL`oAcn&lkfW}v6&MO+0&xvc
z0SU+$^g-!>fqy_fgpIsXE}S{`B*&~Pfl0(k2ngk=(1IO4ps*tHs@knR_t38Ohilc?
zEb~>a+>PpqW2J~f+D-A>Sc)+qbFu4goIXok3N2e1D{>x8wrK5tin`d6!-F_l7Z-g9
z@qYvG@m(L11qlK?r?z31lZ~L)Ox!X@lZ4_G`#(a^iL6xzOVi=v1C~K7K5joCNCH9%
zW+eAO$yS%|iDSosPM&_H(V>S*nr@#$lq=df##2Mq?$i57@drXjaGor$wFdud7NOP=
zbQc9I``=u;8xRNAml6-t_ufGP&{BxiL}(2kA^x|t@e1pn4%ASrwD3?x5oY3KSCC93
zTdhg4Dqc-mt&x^9Q_2q$M}o4lRe!2>YBRXf?!wA+-=$wXLB1ZFB|{;Kd3&;1vpWJ8
zXkdJj+upiMQDL1P*XG<&TxaAVU_H|R(L7?3thSMEOoVH}P^=28dulAaJM=7woGB+e
z2jx%3crQ!MQGQumdV9WWP(22-&T_0E9nNqv6QNuZH89xsAz*c1f2}{wv3}s#WeqKC
z(>U~UnQm>kJo9nrb+gj@qu3fZ??#Ho$MqOIBWpw^&N90Fv0%$9BG$=bh%eWHm&<})
z4j%u++)P_Us$Qb7<J|t{w4v9gjNZ)kvOgXb_b@J5P|qiL=C!(&KB6db1L7!J)F`JX
z@gc*LvRsU-?82h!VCN^6j`&57^sP%~2|8C!s9DjmG*a~4cJklz2TCmZ_{~%6y-Vfx
zYUMYGs0VL{GK5|hR`dOwGk0>hZi~u^3dqv~3*-r^H@_}rZ`_k_aj-2dFX?%T(X^8B
zlFP$y!)!^3Vo^K*`)cmxF7&2{$Qti-rJnes*hJYBz7)Bvj({Pj40T*+HQI9=+6v@*
zsa6XBM3K{?+TbIQ$fzHD;k@42r!1a}1q<*Qc#c)kJ>@CJ^8w2VAPy&=T*rG1N<J^=
z*ZZ_xi_rkEmf@f;@g$AoVkQ<#HTziccDmIt($tar%YzqE+^%Z}F6$??QSF){dlf9p
z^DW+odr>^<8=1&<>iQ1_CWFa~%_P=Av_NS~1Uc=%Ygc&pBCcXAzkMkk59YRk$|X^c
zk~oFC`!T^MHRc1z$)M++i>dIXtkf{<Uj6AY`h62k-1Kqu`oN8nq~>bRLEiG%_MAnn
zp>tQ!SejneB=OEM=x6UsKfLp43ay^Eie$jqK^4S0%Gp2tmCZ<*HGF4zFn@6MrPe@8
z#5Q@|O6p0?0Bw)foajTGUfb6nhQ}kBZTJBs1hH1Gcfa9S)wDQXTkR8C<Xg4lnCY|I
z>w6=?YwK~`ihO;L0hmWs7-^^g_m$Hb4)H$(-$gB<eYN^O_h+l4c`-9rp)UA}oVhp#
zhgn{TfVp>N5Tto71ZmiZiTJp*Gr<ZgN;Bhwc`T+cRf=TbScYD#&QOEeDWCIkef<9Z
z$8wK^j7pKz)sIyxl~#*I^7S6L+p*SgG5y`fBUBK%cw5Hsc^tegS-=AXGh@$%UQ@|b
z`XtBf{_u*HZ^+Qr<c3wUqzrp)`_&#Ygrp#ae6t#?fB`8yAMYs7>=!sFt~Z@?1w#0#
z&#(^E>YQ8?ZMsWGy`87a8Mo~x5N=Sq@38{kPLx8|%6MN4a90`l?pJ|<iuqZqljDvm
zc!klEYS14!0#$~C`qM*kPq+O0yku2NEVcgU2nq6Ax>qZ(dtLxIVEBBGFXlw;*!lsc
zC0n=}3(xCu?xe!0kdNZRzEj8tO8anV-N;N_AYVB<w3`pErFGSXf=q1dE4#AT{<*BU
z^HSw7a{-ynFU+1#4pG_|eNnz7Z%<LK#{#-(i9?+L#!rXc?<~FSkqks5UW_GW#nsjP
zi8`PC?@zJHW}mp6+oO5QT}Bx~iDS|v%U5sYDya^qJ3*B}wa?*+pH7nF$_ob}04x%3
zU=N=GAYG=jvxHh*CpcW-l?kEO2re(~N7lOaupNeq57k&|uppD;P5pICEf*2#{`8~k
zAI%aLMJDT@o3egjY9CRt9%CJOy%rt=UJF*hDUTF)HvSAOh#P!q&Is$wy&%pT%Pe&X
zMc^EzT3Q#qG;smD=VvpFdZSaNASM10kZ~n-33%i_fbVv3U$`qKlux%}>dhbOA}q*5
z43C$fTKN(-j3c5nO9d{^1za}2hWj2pJC19&EP->UEuf|H^8(1>Z00Y0MM>OH(NRy+
z4dZZigIK&6?1K5t>2UDwa5oUynH~>U)8np*sF9r#oVxUk$qdxHNy_*(RwyI|%B7s%
zg0Hb1TAu*Ye({!(gq=mf%83`T79HZU=n*^)QHOdbM~AqfMGlo{x|!&M%^vBe;5^3e
zIEIc+WNWQ+1>$#9xU|qh@!<OIo$<mR?OERaJOSXrTtWiy(LMA>k1Ai_rcGSHog1Gc
zDT!T>ET3JLqUc!Z1}ep*@BJT4`94M{*m(vgR8*G>X<mYx)8T44y@*AzshLyEjcj{Z
z9+HDRD=9nI%CIUN+IEn5dX&lQGq7`AOQ+h!8fX;uMxh*fp#=WRC`4wV2|69gkZuCQ
z&$Ty&F?oa1)rd&8C-ifPRW=M`HQX1aUjD_n)T-D(QAgj-@Nri(zI0;^$WKs^pDH~}
zh4WHK%!N8Tbe#a4tL&gLM1L(nyx|<8sq<KnX}*Z`u_?zOcATdW*JHwlRPLs}xHJ7V
zx+8AB>l0&7g||j+v=+iZbWV+{kM*pKJQ|Yc)1UawCY+=-?{aaHDnl)%L*th!a-u1J
z9Q?;(JGzV}m{$VJQ>AH;o4tS-CL`_0qq-jZ?Kr`6%|41j#AS9Nz@aEFTdOu8?_|-1
z`@u%TxjZZU<Ms?gU3MQUlyZp&{$RhAwg*1kX|~v)F}6R72UAx)gH}*BPpGQBigp0p
zG>!2o(24&cYagX>6uYVc#$QbWxUCV$Q-zs~XjEE0u}2cIjFY%_4ehx2ez3O3@y_7r
z)oWBcEyqIEOB(3z^jzIC%hH)@3sv0`%k)efgn@!5OT0@(MMsejCvI#+>&PE&F7FO2
zn`w>Llp^}ZfcA5nUMD>->y38K1FJq0nf~qD7XHTRhKf^&k8SVAp*3VXM~tHC9OG(B
zcR5wYFnVKomM^sOf7r~fV%NCLcT{F4{p?x~S6+Ep>yLc4YxR^N1RW-WJ9aLfO*^)O
z0Y~&zkB`pa_LZ@>pFCL3b1+QrY`bas3>Mm;tE-t4FtA}B=Mc^`^#<7MtPtkFh}nw#
z=<9~)8h1yL>gKxOYbr<#oM+koM{>Q@?xgWfd=%A&dc#`r@!Fl~ggWP~>M;A`Vq3FU
zC#;l3px$>SuvdS8m@|EW?xrX1i#e(uO=}mOY=s*lY}FCP-O_zDu>h<p767hZOScA5
z?NV1pZ*&NT#_|i7d3%-{M%{N=O2Z)1^WIBg@iDc!KpOJVRs}rWGP1h!)(-><U{k5X
zjM38z-<va7%*R3TP>S*COJm}z?|ec~V%+R+gK#Hc_@XiqQipemkW+??Ti&j1$%Nl#
zr?RKsQh}-huARXr8}fT)eskOXV^?Aepvtk`#dNCyC?k2D3cF-x*R)La=JAtiT^J(c
zl3d*(&Ge~s{fFGycXB7|Os)@C9@9S|uiF3dT3#%}P@+Cf-x;MDJFHnfP#bXj+=d*B
zw?-rc*_IdJ3X#1W5|_)9k`Vrw^sP@s2B<<@AgbtwyW)D@p^Z*A6g>L2(?#6L8bbM%
z3^d9nUM?&p4Y#VLGeJAmm9)X*NeWzJug`J`JxTq3EXC;QTqCsLl|uq)g`Qvxk6uQQ
z?^2kgcOxipPHAJl8bXy+x}O&V+W@CNSh_0`N?u8*G)U#!l%lrZMg|FBV~6dbu6y~;
zff&XII+0XB0AIuDMBV*nPpjOZ*ivcSLSmgw>}K};1C^DOqY1vanrsp$F2i=YLX1Fi
zEKEH~;d}t2&t?n#?(0sYYqRG`-um2q-Icd33GNZ55!m1Xophp@R6L!k4oO6B*kTVG
zm_hyd_{@kh5ig3pmV}q`{La(Qc+1hSbY!wVZ2R&G@IX9s7KQ`=P(T!wiKt8)vksN&
zx|rpN!Lj?QnA+E;I2}_Dys=KOsg=14<s2?mW;Vlx%l0~awV3zJF7H45cu8+yM{)GV
zK;5%)z3wn&Ir~N)WU;)$7#S{c0hgqf!3M=zV4T?=lW=RMQm5(embMY&x~Aa86U847
ziimNCxq(DC?kLyQM0HWvVdlf_XZm_B(sRIrWGk>bT0Xe_mcOkV$Y64BF4_YHvr-_H
zG`M3|C1pWIi+b(6_U5isEd_4u_(5_IvqN|w0RE*3M@Z5|^b1R%5R~(cBl7EV%!~n1
z;E^mB2zP2`_YLHx#~Mvdwnt7Azx6q*O-d}_N{f(P5_7CD&g^&<^)AjIMaUGRP`{?T
z&`l9dKqb*22qbV@vll06dXr~*6;1_k9aQz~0cNA6Qs~3^(cEhv5Sn5!E-nDXTfogi
z2U|1=4L76J5}~*N+kyH#n8({IS+;ctb3pPI1&*OzRrmd}QJX&J9Y7rWv^T%;)qCxr
zpd1^Q#C^O1(r<DB23tP!s>DyC2Y(D*AKXZif;E3vvA`2)r#PCuCS6u&2n2ZII1|VJ
z$(H`9VIny|42a@}o`IFa-PN<?DLAD9+-3Z%$Qv$+04SosN{avCvX|Jz-)8~D*;L&y
zuyta$2Pk8jN3&LTX$-%RSnHXp4bj4Kf7)Ye*gfC>b#R#fKRGzo8yN3dWgT6%&E{3^
z#+w5{Fw6pvqQa&n!RmxleWZQRXZk`3lrea|FxU;OIXw)X@ZdOp<>O#MiPHs^w*<f%
zV;pc`AF#`Yrz0+@q#pnWRtlXSkqh19a$Xq!=GZAb59Dg~blD|L!31zXwX8(*S{^Sd
z`!YDb(=>4G5J>di)d`^0j#R*%XZ9MVvQXOu38BATzBrTF>tV4C!=N%3_N9zq{Dku$
zEL{A=t%lHK@q+oWEH%Y^6NPyH-Jofnbg@FnqF^C~0@b5Wes?yu6u&v`t=Ce&8hN|I
z=Xu%=i--?C<~m-Aepc#bw^D9I$BWXYQEpi?2d4xafg<0byTO7c0UnK%&vx7dr@~O3
zUa4jJyQkdC#CiGkCsk`p{c;`m(jpytA9KjKZgvPx#NRbja;io2B#z`gx#EjA?zvu@
zEFH9T`;p7nstElqOD&zfV*|kIn_iKr>vY8qPzRRkexE<KjJ_Fq@e6gat!YhqKL;i2
z@%4tMRJazDc6W^|ZVkv9qrciMc)GIJ%Gcl9UEZ==I82emqukJ8T{F}WbB(RLLRsa<
zYpZorr^+e26#0A$@c&MkFaRSh{MN$muXU@14j%uYukZc>Y(X+k&%QN6A6{eG);Gc|
z^iVw5@RPpyubqXY<I_Fg6ED=lmlz<3sGe)-39LPG`q3<P^R16`bJ`8O_jD=*WvYgP
zw8eJ{PUwHA*liS<4I;laJ>H8yGs!66lgM5HLXIC>5aT*3w?@9cN=e{rFQ{K|=hyUF
z^4F^ZZ75IyR{7*}j9#eJ36T>pUD;2!y41wl^ZfWj4*PEQ42HO#0(L1dM^qsDhT5z6
z!WeVBcxQ{KTCc5ri#CgYKQZSTS6Gg>i4nfW=sQha@7`)H45|gyK2)^`Jy-8Bexcal
zT4>uVqM0{f4Hb6e5`Oy}FCaX+a;4~7q%1I5?qrG|XM-9=Psa@iH^*`S3J4oQY|NwW
zRq;`teyQlK;#Tic27dFTI8SG9Nr1NbQI1a9sP!AMB+CPOwyVAA3N`aq0Cn<uXb&|y
zP!yzc8vA4P9&&0)vs#1m8b$^ig$qd%+Tl&bTG_7Y#?^Wiua66_80K0<z=oOX*HoKa
z>g}oGfLDw1tEj)4$CKHu*>B&XxIwdaYy!{U8!>Xt9`?krSXY`gQq6|@)$LZj*ZG3r
ztEt;<JU95FDt3oUn_6|iq?0P#3We9>@jg^b{bA37eKWQ(+#{`^12-3SVdmrHbs4^i
z&H7U~xA?|npv<s5k%z@NA3Cneb=`p03AVTHd+K?NkhqB@G(7G1+^6t)Sne#0we>yJ
z+bOF+^YTJfAC-o6=A)Mpj4gp4*jLS$N1QvB*t|?knO-7#-Ys2uyjutuR^z~!h*o#Z
zu+6yv5#77SH&{~fi+CZUNQ)jqDKgwjj!9nCfn*uO^p)12sG!mS6Wtb=qq%PCM^Wt|
zu@TQ71c7ihS%|+CefNZt2;Q+Gd>tF{{iIt{(l>dr3swt{T(0-EGC9QQ^TiA1O^T=F
zn{7q7hRUTGqL$klh?&V(?rBKgRU#Bu>lDQ~PPnic5zO@L2L|Ds;!D|6UILa9nJa2T
zygy=PEO=N3dhT{PeLz6-2YgAlr`&{P@roWvOxNC<S(XiqvW>Dro7<^|$w=4fDpF`W
zq}JWLZguXnjD^25K!8CYrwMyG2=kxSO#Fv%pHB|)_Ond}`L)1yWNvF;(K=Ocd|%+K
z!d}Z&!5yFLu=vWP@!iz=z|nf3Z|*Bs(9w<nmn8V&2zh}kuqxw!ZE*MaA-r;v%1*k@
zWw==3^T4rd42{FZ^9OXe&Bl0J+JJn2;YgG|a~Eyt`JIoSm`_aYBF9nq`~~&E2A<8s
zFkPxdDCZI7oT~<vM-;4n%SCYy2(64tPdAml1~-&w03}o=e0)3-JlQuFH-XnL#|~(h
z@y-J}$w@W9t7hnXTpGJHkgHeivMOZ}AzLJ41nhdTcWc1hOLo;RF9^GISGL1)7kNec
z)r)bT1pY?^oe|U>Pfbhx<_-?$#ZR+?1mb&h+>;5ng5LQSI4glluN2f2_};!sgJ)$<
za3U9e*8p@adS3l30e&W@WE}0gQm0cCK_}A74CpfJQ3{`pz!1JVZFOp$S>O^p0QCt3
zvMrIgft-tl<V;L?fQr>wJyRJ$bt1&)tH<TRGyQNGZY<rgizK{JYSGua1f=<$mEx`(
z<fSsA21&$^=(dIy+GpN)y*D>H@2@Y2w|j^KVWPJN?h*t6!w~?LTE})OTFprSd9=Y<
zB?Dr!k?I(t0lYYGptqj_yKG6oomE9a^vu8*$Xh_5L(4%w2s>s3U_e{V1#B{gKWv|?
z&gGo>;Kznw?n(0}t<9@H!4fjNNz}ig*}S;J{p3#pZmsTc4Hy`6nD%NNx-Rn?Pb2Ag
zBnZOpB@^H%;{l89?!kN_;;sj@Ql~gzIo|!OH2;`1QprQ%-b2<={ER0bQ|#~60ypue
zeQmm%+D7m&W>JyNSQ`uA#nc~WK92~;qcwX^fiDWT0W!NwS{3i)S+<uRRB)RlL9K<0
z*Fmo}zZufMQ~~mSqugydWP=<Y<)eDPgehUb7Xdw3B~HwHb>^Q`(FYy&Gq+yEbzbW4
zaoYmbhOwf%okC4f#9U!)`6Srd>8T)=Gi1h8YGPDNPYRSBn{FrqRJqGELCF(+t$WS0
zB?`ZVO|jt4B_SMgfW%)n05`M~-yfr;?K$==KfT0{K^-PS;u$p_8$Q2fKM*N_5p_5K
zSVjrw$L(TrE@-e#IUGBdTB4ZUXQ&jjObM|lsNtgNq%o5dI57o-(k+_lrWWsfu>GXG
z^3cHE#Q*LMcmMPH4$`_3tT+9E%(#2JHxX{GD3BALHFM@gRB-~>oVSV=&ZhF(FE6`H
zfd7cG=B=6|y^ePoVU!7D%n}ui$9{7!nF47c=ccjfz-MOjrxXpG_MVsE5_c0tG2PNt
z&STf1akriZT!-F2*`E#>PX=awAAqBD4aJi%%Y$9kSvQ^{zf*8`UX8@vI~Vl%5j#<&
z{+a*O@ifITH(PcGh<^40XBJF<V=yN}T3XtPnrXZ3;^Rs=g}h5_Mx5B2>;*et;dgZ~
zB)l41zFNXpUTxLYpqZngno$Hno;xc9CA!ajoK(KLmi3Ho?AW%}W2d(T--ZeQ88m}3
z4{}LJUs+e0l^ExkyOTMIvNm_={#h9r*eGRwx+h-(qZsKm<CkOf-8&kfno&4i5(Gg!
zupO@f@I-g^=wO>vvl~+bjF%`&9^De6PQOxcc#`6)=W)x8xi8D6r$`v~nZz93GDLRQ
z-rvAZyj7BpMOh_ei$&Vi#}>&@|4}WAVPXWxKS?rBU-8H1=0B*dUxH&~2nL-Db)iJO
z>H1PQckGC9hA;bHAXz9EKMp|3V$N5lE5zsmO|CZDz^O;(+8BNuyWhW_wh3w#)}Ccg
z%^;?X0$pUyNRs3^(J)QH>)AJsgARZTznma&>S4K`?8-H6G1FVeA}l*oF}1$4Vx~|@
z`diDcZ;cX9Pxk7U86BFb<nXwsqXagiLYbGd>p4C-y{~>d4g|*smZBCngoG~V-&hK{
zrZRRO`3)U{@}YwA!eWO-f*-Y5R<b7r@eTRj-Z>tu=h<0*a{peGGk&O#X1`kQ^mY92
zpV;Rgfn2@=yjJ~;#X(1uD)N=UcyHak&*yuf5Y8-mGpiz!ji5T>ZuNtVn_^DS99ye%
z;RSr6Pam~bzk5iya;3MC%yngG6O`4DffP@!)ylo>nO?t*X=(?48;npMAW#znZ}u(0
zEa5RA?dRZ8L7qn%^7B84!qg1`JJS=1a++FDpwe0c{113CKD}wr`3O>#Wl7ixF%Ne2
zY91BX`tWuhwD7?x?##}VAuy5yVE>x+qL^33ED5a5YutTa=BDC<&#A(~Cm{D(ejW#j
z*c6~LmqyE5>E@Sh0r{w6=TFhG6$eOp>zQ&@re1*a?Xr$HQBE;+I`t<TIhx!WS(H|i
z#gW#dRi!RHt<M4(>C(Ygg0;=*FQc)$nQ?QCy>hkiq7uLW=|^7sJg!{IL4f3FlY0P+
z7|rJ!SiCVnv{h-F(c;u1P_m)7dI`am#8HfYT22GZE|uU)jWS#a+4}3tW)E{y1)L8w
zn@PORD$5r@<%;^SfL{=w#*P1WK2ux*x8s=om&$1`ASCe=m06;ez|!Ed(|)TjQ+e<U
z5CO-5LX;<#l4O{%`Uf~J2ZG!|i&R;{f!(>0<7%Z0O)y)MaF)UazX|X8PlB@H1L>d3
z$9$?sKb-`7?1%gIUu!lazt~+2<%6<lO_dHBIEn`>Fs64S+Im;Y>_jg-7O$vKh^1ap
zo#581vKqc4dQ$%6;~i{3_Pk95*qu^&=Vdoo_>&`gS#gQ+K-SAV#arf018aorkwJE@
zM(V-F1khlxJInA6yw!rUO$)DY0Doeelt~yVrxaNGTFKSeYa1b#*T0G%t`q~{Y+(Vc
z57c-@f)8te?2wCGt}s259n>97OjIEQ)Zqc2y4)&X93N~=_Blm4XDWYM3X?HGEu==j
zV)lztrM0&<l+TT2)`zww078~uvlYy>bIpCNa-P3xS%f-2NqirJWN$I8rO7;_gFv_7
z_652{RlFnx8M&4kxvJm!%WT&bue{Zk*gGb_EOe_;1Uuhz^6p6i$p1fG$xm{r&V0tf
z96+=fPFr2lvbGS{T^73rL<=i(aAq9X-b6C6ukS*^wv`rfZKbPlb#&DK3EB6ym3AA8
z*M#?tn~7Yj&`4;Ep--icY+>y}>_M}7s)eoq%p>WsA&s|nL@+IP&SXNRNmMNLPI`<%
z(Vg`h7rI%-80>$%YNFZfz4@mXV-Yy=GQWJRovHI<w%QIcJTeAu6ql^OL<$yQWV7v(
z9jSE8lu})DbaQ{Pdf%y=$z*AywV`(6EJM8-g`;EcTMgZUtKWSwVb?^aH6SoFsP7mW
zMGN;mV~4Y?qouN$zPrVVH#kN~fUuSaENZ-IuGBf8Vm?84=8K9Y7cscsAH*g>K>qTb
zEQk;2->+w;(7^o_kxV?L`>Xt}4`PQO4GM!TLtjX^w6clIc`GJyxw*MUG0ZmJB#Ttt
zn$4f8T|z7QP;iUyGHsf?1~vNt<@5_|lpTQKsF$h4G#F_^;4-*wVOe5$vK3>aSRO{p
zKQojEyAO5W?huRtNAsQgtd;t}Yt*`2=bL;FU;R;$UW8OI-q(g30qHt_T7r6k4OA)o
zu4kL~-%13@J%;@1)00D5`yHF0+|f4ztVgLV$6tB9P~OSB4KsBiW^!&n9&_A~kadzj
zTYPV}eF3W^S4<URf>z!4XqttPvH!TiqvG9ou9_fb+_6ivN`$o{j2q5y(c7K3Y9S>v
z(MLDt!otbZP@d7=#z4a5V13u(c)CjB^07Hk)nq*vq$D5srz0;-(eH6VuWU!y1KNGy
z`r}ZHoe{}2<I>jIRwh`cp2*5pbb6ZOiA0!s4lGQ7Endj%GmuH8P;O(n%dY5=CLh{w
zF_&v_<AdYS?pMzTpx^>8x9Kx&G)u&Xs)Q~D3S7Ifyf!8dw1~9<!w!%1L@E6NXCAoz
z9^ihcSglk-UCUQyxfU_))hG?2y~%Hu{Mq}d;bN91iZ7kdwyz*7OED3_bN8S#b<26x
z%%C$D+|{kA$D1w`;CLPDv5j|oYu`^{`ZLs&L{Q+x2Ob2IL_g;AB&bt8*aIgsNUxhp
znNlqxezYO2r{3kz{k0%!2M;Q0+BSE&4hVFSYDy%|lZD-Ng#ma~pS&C%LbMb)?~v3|
zi0w~~+Sae?_I;?gbh=cGAg03vzMfM8=jcUhF15)H8v54OUFoqH)^Y>(z*nH$E&P3T
z8VD$vm1>%KTDc<t6r1lcE(chO-quDe<~`F3-J>CX>#vTdQ2bZ$HT)Ek)Y}!N-8quJ
z#nCG0V>Ry_px1roGeS}7mi!WCoDBJWX*#>+={3*V7jWp`>=7{2rxjUBE%rPM7o~gW
zbLM;lCp_MfoMymV>q!mLlVq>j>|I~zNp;rokK=`RCrQR?jaa*ZDo=&p%blHSKve>j
ziCqw?AX4z;rkylEo6qJ>FDs}vF}xjq>53Z*V9}SbwaPm(i;1%HV?3XT2L_*iW>`Nf
z$&`d85F;^&WsSgPpr{?UbLSrc8%MG{*?GV~?p5%|w4=B*;LZ;b9zlZ$jl8W9Yq*xR
zPN~zhnrJS^^cQWrFSdJYwqeZHqN>8!yvZ4nY_I_5oC3|=!V!%`DEt7WpqPpq$3k1c
zBD&i`Z+HY=Gm>FsGp%~{>X}MFCMcU%fVY+=9?ftx3ZTN)*tFJ4J^cXdYA3Sm=5RJ?
z^;b7j`1V(Lr2y|E(Hz0RByfJhh(eD8V2d(;mFyN5$!9puQ}t8CaDpLh)~!ZLvJtNM
z_(rqOVFg&QA4;zIS-DafeHH&|@AB8a_89w{UzT3e`4;aRveXxOPOQCQfz9*6TEm$T
z)q>6$8srFZh8olu6xcFU0vX<i3Pv*)-fyu*U(4InLtkR{K38yPDPZ0$A-K1M4G{Cj
zo;fypl413k4>p^r8PwK*B|s}=h?GU0!|2iwdONX-sprmL&bLT?Kgby>|4NF3j?bRV
zktQPu2bNLgcp=p&DpfhhZA)W=4iDOJ*>m1z@%FEH--eY-X$=l$t7Ufec;lCv%tv<(
z^4!$S!Klhz*3307)hgB75jSn9pAY-K-=mqQHcR-0MI7FGz7}!W#y3(a!hC~}(9lMD
zb_htIk68lybQUdFr<#H|E{*`n{;aAV^AQH8QR6YXB!u!z_Wo<?aaKZbDu6l*+}Z6{
z8aa)>Am7mc)EBfXV||?cmdo-P%Z;pRb9Oj<Za*Cyhq-(Wyl>E3<f3qGsyAJJUA$mI
z_<4?9ZyN_UWLZ?5=~0a#EG-F&5h3o)&qaoirj(~#C&O)TuvuE?UkQV;`uPzrbTS-Y
z$h|Qvz$5iNB*)45Rl;Ht{JGD56AOXwX99rewzNS1muDuN>k{yfJK6I+7Eb%fZ7S;|
zE8R%aF#9b!UpIMa?o%9lbjInk>FbJ-K065~u;MTJv;~L>$DIWsULag{Hxq(Agjy5)
z>XVvKSURI#z;S;rZ_Z#7eccHbF6w=2JpQOr5$s=(=p+T3VLKCz$!{6rF$maLoo;XY
zF+%xX#{#e6#+74+9zVy<&AwoRpRRElRf)Y<L)W14m3K|QzaEko*j<p!rH(%pHx>{B
zMlu6HZMK)391Doj^d!np?&bDql%Ft<CK)j!byV4#7S~jae0M3)68JJ_(FaDnZY1H_
zQwK0ZKw%tl9}=bcjHQ%(n_cJ<3DHbt!yYe9n<FVXuo8Zz&C)LW(IIMMZ{2z9u{P5J
z2>D+ddL#9dq=U%8F||77HlGq~gxt5D4<@zm)<`Q-W;yGNo=FjoII@1*N2Co?>~E!T
z$WCo0YQ0ZSq}2_W^iGGALhq;B`SORJSxMje;>M21Q|k}g`vQ9kc|+94llG4)AkPrr
z!u>u7(v8}+g8w&DU7iw(*W%}?hpeY~7|I>6%krjn0V}p!ljZpJ&H^e+65@YEWrQc>
z+bJLyEMbc0vOZdCv>M>+y%oG#CzDI}agoqd<|ib8`Kv373K)}^Ga)QB5~~S2-T`Oa
z9f0AV_YZ+hWx?D@ZHYT2veufw&Gy6Q8}`r4ag{C$<nKQ?5-t{o0V{!O8zB3?h)!y3
z-B}*&qU(Y~C6-Qc(Uu^`(IPYd+(0V9i3>Ij61T#lG^ypk@dM*`<yD}Qq!+gpvQEB~
z$h`h3f5B_k8J#zXgwD1{swc+wn>%zC&g;(8<r}WZ@Gat<O?wF&;)Q^DpyXFRQxnFf
zn3qQaX<;T85@9sEnmyk@^(d;LQ*>etU0<$NDL>D=_YAgMV|!XxWI}SHnYz`?cin2Z
z^qS`V4A{@{aYSbh#sv^Iz`?$Gu2I{JfvLbxIRv6`CcOE94Zz!4U40L_%t}PnV?<+k
zU|Ne%Whvca>yDsrVjt=~e0n>8cl@kb38YVS9?0N+6XdxYl+GBP(_N$GSSy&@^JLwl
zbal)H;6Q*qs=Q~I&fqpBD@4w31DwbyMX6oyeZ29p$*IrwSEENzH?QKK`vN{T6oo2q
z3uKj84{9;(fo(##cFo_63u;GG)OZxUt7iL}$}YReBh=Zn=FXG|3CP@ipzvg0=oaYm
zps~x*&HVF0$7og7KvlIm$k_TgVA_ejwgb+@uwt!MT)9-5F&<+h#D5dHIh7t{F&dDC
z+)Lmgy>siaHW9E9G=LpZUerIA!k<69sP+voq8~gx%T}^Gb;d&1(ou3ZQ7ygrkKLM*
zuOf55HuO04v%XCPAv}7pep%owIA<e&@{?ZxqPkNju$(Geb6A_b_K$U(GR3i114$z#
zJx0)V^t-+*KsN%L!h~SGD}*3QKar~hYnb2XRS+QS<UE&wEZYr|`BMXOrc(E2(FT&L
z5q(GF%Bx7++d{#iBzRi@<HXm`C$RssSJI2p?p!@pkD%n5Vz;%7arOQ%8iG83`Ay@<
zzz_QXS?w2K403@ncve;YXU~cb>tt_!^_=jJdy{G5jW9)P`@!*52lLX$1WF9iU^BHP
zP_eWU#YFzu9s0bm!Lj(&sK9qn8Z3k-z?jLGvu<wcR*{<;p%uIqiKRb}kgkFuQbrWn
z86DQE{P&|l{PiysU=ZIDU|4WGY8lzyBNQ^FbVP$-U`<11V_@wwnlu*_IZnYIoYO8U
z;Gz60C=QAe_Wi9s0_PEhhOpfg*+6xttoDXIrHeUC7OwRx$K3d~&JAkz!Ml$Dnwm@o
z+X$K>q+%#HWF&kq@ApOp9&hA|8%%Xy0_|W8!5ee#ymt|<E}_S)w4-XCXR)f}S@?yt
z`rVYqddw~;Xi|fMCI?4=4eMm8A2a)uX1UjLI8?~#Y~SfuI<N!F*)T8kxQdW9eV+2>
zIrt!5eUv}Xg-o;c75p=+4hSw%+*7Ur?mt(0MABgJtVj6g#7iOOw6l~EoOg`v%imF@
z&{mVYq>Wa&!tPy=aCRuJ1sxz#KhHx@#KnGVNJNC86Xl1mJ~I5d8KREQXm6~_H{EQB
zPG9g`^jve%X|G8R$He>;HP~1JKta5Nv5Ozr0JgvVnuvMm1IqB~&))jrM|L_=--|Bo
zzSL-c*Qheizmigfog?5A+gnr6sXzB34RaWkKQbws5W`$4#$7p^tzU6)1drffjGqbx
zelc-9t@`$9rE1~)ZV(JCZ46*`SV)-C6Fo2YJGs+6&9=gujbZsC?@8Y{DhRV4`+ul<
z>!>Q*t$Uc3RvJMN>F$&e>F)0C?o?8`yGy#eJ0+yMB}7^}^>^*(Ip@6JH^%<M;b6mk
zU%A#?bI!&8k1RBZdTYoV)YwC#sMZsM^$6h>QkesL{*j#ku^H#TVl$F@m{a6kAh#&o
zmc$wDOuy8ucfjyv^WIp7cnbq(=I6}AK8Kbls_FD#z2{~zqFKM1i}OM%cKLiFPH^no
zfZWr3EG<6=(L}GubZgu_nE0QaXOba!eyU&nV3()<H%j^C>^Vxc`mmh&|H0?~lL|_d
z`>j78Wz!oNa<>xCm1q<ImMK~pM}<<?=wW5Ky3L=%a#?+f#YEdZ1pj${bw<fR2)kJT
zpd-ElyjKvN<3C$=ga~?lH9xSHIde_X)naKovdKJ|Mt6wwLsM@pt<S|ZRrMsH>sAfy
zx5i&hGg&>zJv#6wg486j2{1ANNeRVCf&Y`h@nItB{jF#vk3Z5J79)Dmz$^XBefX5<
zQhidt#;te5*Lz;&5#dChzfRrBc14X7CpoDVxs5#DCIal4$p2_0x)3ew#=(JH=!{8E
z#KT4W==AXG1sKrS3P0J(<Eqbc?+rh-ZcFQ4>KxW6F@67JcvMw+D7WX7WPj-B+{(Ha
zUFCem8?hnR6d0nJ!j6Nh{*lUd<O`xn1URU)zhgg(ko3bq5Y?+3dPx`EN2hi&SSsid
zN^t7=eSmrRt&&A^e?3Xqy?!@0M-@2SXgnD$dW6?lx!82N?TQn4d%TLJqg7F-)aHHa
z_x^Zv&?+bi?77d-jQ%%&-%Ja`vC`*uBb{b3&katq--@YESe|iu#qR6Y^Zql~f8i7T
z=fC+r-v0Vb@ynLEFy$*z6S&>~TN)1$+=u@%`KC%Pkv8dDw#Hl5<v_lr+dt2b;I<QR
z-j{h9;|g3|AYL*bK0N{X58rY2r0#o%t)3r)5sQ`DRQ*QR&Y+UI>2oQo$T^)3O66&4
z3ti!LpRV2mH<SCPE$PjkgF<lH3ks$PbCqi{*DgGq9NoTM$}yM_!duSz<^{;9G7pS<
zLbrVogwPSZ*7rM_Tv$X8hOPZWnH#3nSJ86I+TM#COMvr19<*;kn%o2M`Xc$9KS0K3
zWeCtl?FI`B>&mlv+x52jg}-{XaUWEGpN7}<p{S-VkvCA-+@3O|9-0At7AyiP^{5)s
zf}*nMFHaz2Dpx7Rv@r+X8KB7Xasj&*c+B(zF&(bso`bq}z1aj1yH!qrBL33=mOKE7
zj1}E}gX+WgY<}&ZB|!ZL0)u*4PP?@d?oQ9keZVkY=ePj%t!O~le+z06ye1>DWYOGx
z475guK#d?Zt<?%DAXa&y+O=A^NM9MX-7My|LuujlTkoy+%`p&lMWOsr0YVNT;b5HW
z3jS&)kFi2MI;ZzOBCyd#v~7+Jo@YJb_6J4Uc9}aMEW)OMq9cI_+!__ugwj||?K-d3
zg2#opRC4RC$~ib@mH@B~hJj*9N_ZJ)MpkZ4R*kC)WPmgNp1i<4`TmT7DR643Zrx8e
zm;kXy`r149gQ-0E9Dyntv>{sdwwT_4??T{*ce|Z`%Au_y;I-BvXk8x(XT5g?+^w(U
zzYdLY19+82Y=Ay!e4donw8ddtNR{@;O20`Z@EihrS5{y%yrqL^YmkBYhf|UomXAJQ
z2NbRu6eg`7G@yUp=<uAT)0l`8C)TVr8uXAZofP&@PqNB(GwHQw(RQ;-YqGH-Ms^qh
zYa>YT-QR7Qd{J<efhd?fm#_h`M{@P>$M$rA`0%RFX4l^h-e#x0QIK!ZjSuK}f&^Y_
zj0F#;T*(_%kA?U1pC^cDlA6JSuik3DjAap|t-olBGxL*i=8dXyrJ@3?_&7IauIA`6
z>GG*I)InZs67P|95K7$HRYmWX1nNFYHg0dRuw7^_qKV*dRSydt?T;!At}AQmn+$qk
z3Lk*Mj1*nVQS$Xpz);9bJC_57l1ePRr*wFAXVbkCu1%j=-$-hRN(^obF~R2EqF!RD
zLCJ7}S`lc4BBHxnobE>-I`^;d3vN!CS|q-bSF5<xkv|)1gP<o4oF$?)>=A;Dh<9#S
ziT2Oms+=o6HbK}Qp}ua$UeiZM_7exA@r%^1c(vXHqLEy&_)PdI9p2LnnE+6oPU<Cq
zmsoFjQ$eGqIbAz-O;$A(t*3vxcZg}BepY4T#_=1u_br*re6#LdW%<H2R)3u-{Omog
zy0wO$Iy9X2R17^v@1KK$7)ET`B^Xn<aB77nmt~aqsAal^O$(oQ>RG(_lrXqVAc%+`
z)VMpCpdZLV*Sx-KMA**$_RlnCx6Yo|0EDUv<+?f~Sb^)W&%^&!2Pyh$D-&ckNVnr`
zq;uI<jRL}SYptxVj&CnKp2+c){@;g1kgk)_7JN9Y`gJgBAe&c^)tf{%N?^>yzGjsG
zR$&VoL>PdU(-xyP<vQ1!KH#tO;VtSLZiS<xvR@uQ4*;zml&*BL?u4$kK2=t<=k7dv
z{ZMMFI#^&hm|oSA&0F*yUX6W-M1gx-WxW^gBKhk!e}}2AwYrEto6lVJ;?@YR-7tox
zDFj`ErzH{K3V_T3&2276@dBbt#a0zugu?r+r=WXQX2=i!l2B(ps$D96x?RyI(tXl)
zU=$;c-l)`ft}=Ti?nWCdAt8HAprUm@=TvXZwFO>UHr9s_uo%T9X%b|}g>&fy7W2<N
z>A@OD)(Dgn7^(-vm3ySo>Z_v|XMJ<?9T-UucWcg*nl@^6Xn%623dCQgEj<v>y7O>)
z^j9KSatN!sWPmZ~{REC5Elr|ScFTBMiX1FC?p|Hg>gta>Ls7bc1bS)+Zp*58R4*QF
z%Hhc#z~3*EU8{asMTC>MaT1aDm?O`7(y&FUZa0++4ZUQ!>zt?a%L$M8a~%9!b9d@h
zPT}8g=4jC%@QDXm3YGs5<SG+%Lpk^}12}9O(I5TAmFe13oI)9y)o^F##F15`=-Xyg
z3yOgBRWV@M7so&dn`bAItzi?0Vl5UyZF|AA*-B^9yzZ$e(gh%8hwC>jz_$mI4Uu~<
z4rp<fy|(vZHQNc^kf<=RQ%4uKuQDjzR`_N;-UNijO#!<M&xZx^wl%)<?cVNzmLKq$
z3U1?dqT2Fuh;6hB^%Y;NPQN5YZX@_Q-#9V+#yPSJKZgG%HLA89+R)V17JqFtiK9Ec
zVSV@@Al(a86$*}2olhDUi+*?*pGHX8!zX@XI`pWGdj75<@I1?rV?|8AsLlV%1K=>H
z#*QeQ!*KGjj8%k3WU;Owqp9FEb-@R54&q0_do?y)n%g#{WGwbFjePDh)Z-bgfF$WI
zi8M7V%2MO-UV^@PV-M^=SH-Ffn^HgmOq&prsv)40^Z80}I5+G2qq0E%HT$bd&upM9
zG>VAseP;^%%U~+~jWYasJfxe%{B$!|KF3cnTh<b{HdxKmF6JVyRDXJt#$la2I{MST
z^E#Pfp1a2Gomz?=FtZ}+Qa${t@t{h(aM#*S&!-2~ROvA(3~egC-k)z%>RD5f`9=sp
zO!UuIm)~XE4?g$04f(wHx*1*WB^ZTFa06KOD?yNkE+n_`>?@iB5y{{RM>x7?2cqLh
zapk@-WmlTIL7v6}L$P%@>%{>p_cjqt9tGGkyT#tI8k`{=^f`*zrs!xnrX<@@BOLb7
zGLcH`pM4qD3}FFU&M)DljGQTa;Jq_OrJLUztr%SM;ftKCnCV_+kU*jI5_#0TT)Byt
zW<**bXY2;vN$Ed%TI9f$&H%NV5W7Yi_uf#|O3pIHBZl|1CBNtJMdH>-leH$&=JynY
zn{|z5?XrNbmjt%x3ku)Gpl{i?+)++>5dSv*S{24)3fg360GT{G0FImwOq{48Z~F}n
z`vbPI&c$4$cw45bzf>A|DvvEyvPK1@qW7Xe5wnx~*OoNl;h}Z#380iIx#xqT;$r#?
z(OB<rKLT&Tqg<oY05Q-S5&lMfher9~ZYxkrc4rBLuK2I<IgirAYoXUbxZew!<rw#k
zhTps*L!-22RueDVJwDBw7xr6UZ)JJ;vHy|fs8WgQ{f0g61IrJf`T7Kc88Xfo505&5
z72AF-+o8zUr@1ct_h8>uNo7%rI(8o2!nA+TOh{<G{}vE+RA<f=zgDf^4L0+FJ@kW_
z*rwUBTJBao#OpxkpfThf#o{VXhWZ+>p@q{bZreN%j!eI2EW~RQpaWx&3}TV`tAS}-
zFz2}*Fn07R8KQ7hx&~`SvV`zB6!Polp!PSZHQRQtM&|w7tw3c5mqyl-xRge@s3lzp
zC0qk}38UOn;R?`8)W1*9H~Bt1eZJX%-6%WM+DxXEg-fKCP!xeiA%Q_ap~Y2EP!y@f
zux6hgNQK+sDDwR4HNi3MQSix)bRjn^U&E*XAD+etmgS0;bjJIc82>$My&Dhs^N*hv
zV>ZpITFrbH-v2yyk760-dwl}2LcGZs-1NBEwdW&@v!xj-4QID2rflewX2hnmX#)Ov
zj!{*H){e7rTGZn}+DkY;yrGh4UdntrbqW)ORd>&941Kep(8v8Lq)Z@Ed~dLCVBLL_
zC|hg>Fk0Jzo{uc;(+V&nkU8BMj%m&W*VrW{+#un~HrWGDhsltwKpM#;&dN0~kGmd9
zAdgSkZ5@Qph@-Onn1Y<(cLpUBX*#3&5-#hvrPtC=2d=Hi+k6C3K{#Z8KRAbXYw%GY
z;iO^(3*JX*aat``7+yX!9x>^4di0LoU#gEY^?Kq?CJJ>D#4%Dc-ZEXou{j$XuW5b>
zUpXGCu!z!TwJTapd!}U^y~D|vWopB_JOdsW(TL`bGz(^LQO9IErNl4=Fu!W8A+XF)
zhL2-6`^1lf2w_-_iLDf1>mGbo5q+jOw(XQNOa5^_LupHj^cAiN-0Gbg@u%@RPT7uQ
zP-*At04?R98GDQaygNs0g<p2p{JXKjpoE`w&Jt={*5{5~s~W#MrGAG`MN=vbFF}Ic
z$-jC<-(Y(}53_KP#=G(3+NQoAyFwUFBv%DV0xIP&YraE-BnR$2*O`x2hyX{~XDphZ
zv1TF6=`r1RcZ2dF_M4{O0^({zz9Gb82lKITWkbPI)XYoUlyz_E?V77%C%i0AL<mp`
z<@se7PsOAeGR<lc^c@FrBGD{QV5KQuEh>r=nLapxFr53tEWvb!4K&**mM&g&nGiJU
zd!LwoTFYWz+y+4s)1mv*_A@c9{xvI}DZ#%PoMuV%oDK;EI`A-9VJhQuG=Y&pVmsKp
zJm0^e0*>%Q!nzlI?eSz#_Ao=5I<3dYjEwi$tKdp&>NR<?6)oB?adVRI5jjiMG-ed=
z*<8ETGmOdm>l_@cDhOV^1iU)l^~vm(XznW{m*ryVoWKXxI@gSa2|Z52*K2MuO&r#9
z$4eDEWoYGM-#yx2z0gH4M&?%`^O_faEy}z#KaODrs@+qZ6r{7Vp@=G1FTIXIrh<w>
zB|l8S%+fO>ASS2wcf|s!-o#qKw_bB4vIT4S1YUKhmqLpTI?~SkvUsV_=6(l;8^@Ap
zRY=uI<8FLr)4`lf3*{TL85jEFO-G_3O8(rVXwfNfT2v!ex6(r<ua0QE2a-6Xv8l%E
z=oe0@Z@={2h;G&TSG3>(7B@QGg;?O-%<1(6g<Y(7@s6Kw9}<;@CviQVzE9jO9`_+x
zH`&IcVTKeQH}q|QS!VD){0XIgy>tdXqeC`9He#sY3LLrLtXOe4DGAJPBoeRRo>fiK
zjm1<S8ohR`kmt))&xVI})XT*xVKa!Sq2J_a-8k!3&m?I(md{j<;n4eANbFj#-HA!I
z^)#l&wftU|syj@bue1pi5g>%oHZz5Hh?gTv5em++xFsoCC|74HACbYBr<W6BAp3rz
z3Nsz=>rTpUm@it^K^bacv#SFdn}wjh{!ye$fJ!u1i`fmTfO)m+UleJe$GO*a-kg?T
ze^gvnwv%dst^Z&^?KWvX&o13!xg1P4Wa0*E=IVG5@ArcrNP6FT9lYB)2iaphES;X-
zIr&o8K*=72*yc`Hb!?&9^$IZ+kKJyFdK~5|Ao;KJJ3exPK*U|phR6Y(q#Ol<nh9oX
zk?FI=THto(qOBg6@vlg9Z`V7yz%!CSF8g(iJ8|)7q!xiZ{Q&0RPO>&3obVSm)N;%R
zo`xwbyB>iJLyWy5lNUy%RE({=m<d@82L1t+jPDazJa);?BFaG?;YCVFNhWFff&{K<
z0?(8i<o<6N=we%gpcg8J<&gTxguaL8O=uvG^%f0;va@-yIpOsndhFIVYZ}71%0B9$
z-T}G}W!aKbOArFOv3}fSxDH|7;;3xE&!GNCp;5{U)Z3@?(k<T?XXp;QU$VLSu!3vx
z;&*FCmVcBu9*IZ4vHY=_RqGG&+r%K4IHFZ_f$O>sAeL1)=wpE~{=<;~wonq{j=IY^
zhXKYbXetuuW9r0L&=@16(Co~W_Um679^4PM=x>UPj1gO+;^-vW6_hZok!uY(m^tf2
zaBo$3Ax^3K$QdHJP8#Se4MLJwxYGO+=X`DPi{TTs(n%Ay2)}}3$EwVDe7F2xJkiRG
z7>;IRWgsrTtS5cn<VW~{ETzW5?QDZT{u@pB%3i*1AxbK*TSu-ibfl5Vo`Vgqq*EyM
zzIE$Fdiq!9l!KKw>ktzb6*`_4D?qKnn04{8_WC)Q6LUKF_}-`1$aqUH^<fWN`!_%p
zCLXi!u(sQg^x$$65(dbd7p^q7;B>B5q_$vKU@{(DFRPz&P@ZUJ&P8$$!QLqUuD}rL
zho~Y5<$kab<vwt&+2;1E>136bx^is!-BuHKgNVi4^~RJ0{(%CK2-S_uac0#3UxLVi
z<k*kN2KbtcL}4tKCB>o{nYZ4ohj@hh5VwM(luEn)5*0)JB|=ZxSJ1)ddO)Ow7jeg?
z{VBg>#PQNI>{a_Z<B0*B*?iUYDW!t-=a{UJn0HBV{reJyUz4_xwn<LhLnvB0_CrV1
zQP;N%0=lvUeBU=}eDwvqHw|TyA4$j&9<mbJW_OlEn&?9g4g5`;HBgqE1w%8Z){$iD
zu39>9GFNqT3pc`j59#{t<<);04JDp&7k9o+hYNZ^&V-#JEpR3zkxY5!eD_}1Oh8ud
z%2W!oqD|+4DPc;f2n&!f^r_Dk888t#Pc0IiG4K>d#DGO=){b<g4DS<dtzZ&8PmO=t
z3VcZ^n{EOtK6?WQF`2HK%;OYnImB*DhGv0<euFLfd~S;xJLD_hxRCQvaV2i{d;h+6
zl<=tteUD~oI3`-^)N=fj_Ao_$=-Zrva>XB0<JB6qR7z%id$?4*Wci>pUF3=G-ADqC
zLy)JrCgH2evqU|(3VUh53$w!-l<xwGJ+QUm>lmPK*+pjSNbF>{c6{r7%%T^}Onw$z
z_}x&4MelVglo)NueIhuYi?hAL+a(Ef&LerPtAsMdS{ye}h<}-9xvHs>cq>a`!$3#&
zP<l-uMs8&`8`*U=i8%c<=lY8aLkfZjz}^MJRxhh@5+T@%WuepTSlz@6(}oH2@Z5?M
zl*8bzp_%dFN06;eg{NC-*y>BEemLfjeu}A-e)r@>7%2|3qRaVEEDweY&OEZphz9lF
z4fpD!94elf@0ekh=E>alA*^<_S|hn##1~?CO{8;dze&Xi-l1Fie{8ax{i30e`hsl1
zIFavh)~j-9U^I#DcfBug>v_W5iCL1UZO_lI6~iowK(nWjObRvlf=bq~p43qaN{;iY
zo#yeO<I!(qintNHU$1QA__=>{_du_w=UEVwEnW+NMd$80qLi<xRtn<Wqobe!=2H?l
z^gTg$PRg9W%Q4!v%eF-NNt|$4GFhw(>^*OLwUPGsf-RF@yeysknBfBb;<OHj<Z{_O
zCzzJWv?Cl-R2FJFq7`S_db$SO(o;JLU-m^|GdfcYN1n9j<P#B?V3H_Epmj8jXqjM0
z6_8+DtrmFx)}S2DR}H(b;T5B9*4au^(3V^5Bi>;uq}u?OjvTY-dg2;tqj48l`fxf_
zk#S@t>_lDB5|XgrXg68j%>6$Sq<IfWZ@xRG$tF2`qbnn<wIaZ`l{DFbhDFdgtIa_q
zA0I5yS=37WcsdhjJJe4TMMA=Zk7_Nhs778<+R{~bz(3?y^V8rIpWL^k#PQ0LdfjqZ
z*R6ATQO|n<LsQ%bb0U=`NN+S~I()uOZv$(tk7bE!slig&;aw}n4QdQWbK)CL8;y#G
zMqGt6V8_GP<YLb(8BkcC6i#3(%Yv_-m)tKM3!IQwLxR-AtBoSW!b7sh9mV^k;f4&V
zX@%zK{l#=2J98Ote~hzD`T(XL9~RmZV2F@3wNCqmuXeFUMD*lV1%8ox6Mo!aq2Z~C
zI*#wRf4JzI7ZLGQj1Go076BS*i#@kA99;QQa8_#7o_0SkZ%Vp_i8`N_5u3!NO4E@|
z)1heT8raj}xg*O>zUa4!4rw5gKG|qD*@VHz%h1<CP)tq}LOf)+IJ3c#k8%Z8Q?yIB
zIyeb2hOahtFL=(~8~e4k65>JmmMp#YC$q$Rp~D))*P46x$%0Rrz^zPzY$25OLLroN
z#(~_-JPU-ghI|8Z7RZ~lMv<bwje5mmcRa@;@ON=<4AmWFUd)!ic+TgTqaR#zPe<U{
zgNKH_QJf~&*XKohA&gG;k*!@f(ewUev4!#4i0t!BMWY|LxtqaPQuLoKDZ)$s+OKz6
zlHJ(rvsR?xI$BtwC|6vOQ22C}1?oDnU<m(2#u8f&55KKN3SlX!P!`C_*gMbcc)A$t
zfO|)bKkq4Nh((3<JpS?i%=gSY+42w%N0!;#eoCL+1KmAGVG@K_EQBOHaM@hhhUnQF
z5XSCrF9wS62tQsSvOtXd%yjba%k&k>3-2;cz$7?xLb;NINf3v@?C}h$t`f~nM9Td%
z`Qg|n!k5EqzvLyJuf}LS!*T1o1c!%47SjBwAPL!uuG#`Iy1GJ!dql!M^fajbIUJfH
zRlt@t80SxQ&B)6yl4|L;vk~9j(v7^W%Sgv4bmZa^N-##}FlK#t1wHOh#;zv9maMfC
zDmjP2^WkAS=2co`cp7Wg6n;dyk?3#WZ@0Jeam~m^MD~7Ygj)!rsKaLdB_W_Z1i!e)
zm|~HM7LLWECC=@kpDg&T-~*6xZXc%j=(OuL7>}Cq>fn7+8#9w7s15(P!Fn%J;1uq0
zlgSLw;h6Ke*|jwX)5f16ES)u%?X_7jJp*;N(NmdyQE#+=kI}IGn1Bykf-UeBsW4jQ
zI(t~^<4dDI;as#s2t?Q?l9I@#?MMk@$6t+h3J>sWeOvIsmc`*aJF_>2u|p9r^}Fu-
z#0Q4(7h-|f{-~I-P~S;pI4EF9&(Zv~=B?5Aj(xh!9sb;0HE(2HR!!~336>O%TPAa)
zA)?wia?+}h_Q75fx$z~Ua%x{FT4<07<A_iSl#~$NMh+IO0J`J_QcMv1(nQ~a&4s+m
ztB7#^R4gkr9=tMT7xW>e$hIoE&W{85FWTa8U#X;~oG1aTeLONu@VYO%N8vRAbL}%`
zCK7`<v=&4-ki`DW+Oos#wOC70$}1y-ZCY3ayc<0jQ|)aP0TyL8)Gr|~>s^DMd9HAZ
zF*5ss35``k0Q35?HUi_vz{el{1+6jMLd7%o8VI#fvP-gSpO9paED?}i8|lXdQvS3>
zywTPRHOSge8UVI_o@O2l7dNZ+k7F3sgp^Q(+41|)moO9^82GN9IDHsMlS9eU1Nb|o
zTN9zz0o(j_Ki<!@$VEi>iT6C5aoMpX99PRdG(M7>8#6ws8hvA7IBR%5^+*wkmi%qw
zQp^cSmJ<Y{0MD&i1K|#Ka+C9sycZAg(PZkzv`+xV8J!^MpG4vg`FpRrl|bD48;-?K
zPxqxi2Ym<_3O-GqIr*1vB3%v{KUQj&SN&b>8oMd8fwviJaEtaDuEEe9fqhKc>t8r4
zAJG*y$Q4##iv8&Inp%bN;>%vO2vwbh>VV{rYN*qxP(~Ak{0J?4T}LHwT9gfXNlJdj
zpe0aj19gzm)XwPeB{>%Qg6P-<M7F~p9^<O)<Yi|NejJMu5sPJ4;|K%6)s{?yAF1g&
z6Vg|1sh1x#TsYQ6i*|~2jM}x>c|LWx$TBs#ETD*BMn)yqPF?Kg@&FqA(F}nw1sg?9
zE7m|NY}m*#K6A^I8J`o>z*8vsWv4@01ct$`$_tE?gJ7CiGmp4HvoNCxP)&;a0(&yN
zVrdCSpZX&&L?p&SV#x1&C?w5)8x<%DWItmF$^}~o-nUPlI15B3<Gp^OW^o!L4~cFe
zLbM@9@HSKUUh%ls4CkI~L~YW*;?RQ3RVEmQOVWdlkKps(<p7YuL*Xbq$@(+U=jh#E
zUve1MrW)&r+iCpfo<<4Wo<JeH(#CBnb@`2XFxP>ln5$l)|9d*0DEjx)c1<^tbIRxX
z0g^!Foyp<XFLERUOZ08JU8MAjLfDof(lJ4t&kOwrp9SHu>LBMStU0h-c79~<gyZwq
zlWLC7ZQOUpW;rU96UAK$`_Fn-P^7V%FgJw$oA9YdHq$#mLIrWxxGe91EP=nD?f<wF
zWHl{y4i>I6Nvk*x%%xB=J-P3$iVR}zZTkGE#&3Q32=o9QCrzt&960FO-PJ#4jG-B5
zF{%yP!!t>Gnf^)`F0E8QGrw(&EDQ4+3>qu=(H0D!gU=90XE?aTK1paMtoE1G(x{r0
z6=U)W$D76zJsf>-&^WdOU)^7@Hng_3PYc^%oAH4siBZWiij~_*e85&C&hZQ7@;RoZ
zo@CD^QSrB47kgX}Y|0f@B>^X7#tj#T$5ixq%qXe%N?(-Qm{D5wr3B2FlKFbuF+crO
zxho;J7g3iE^V9Yfwl|rqc#y$pJH0uc_~NVDiPA^{f)+%$yYLa_J4)jmpS>FUNb<Xt
z{v2WfPglL)?!iK-kwcK5VTJSfrN`<_Qx%r$tn<uzq4CRlHcYj9x1iLBiZD)$+7Pe5
zHkkiKUhu@SJXu&v8MhMUDGig$&i=3&rD9TTaQ~a}>21sTS;;x3D5|$q2<FiasAfrM
z&hcM+laOmi7>as#jpb&HJ!tGwPiy>U_QXguUh<{4u9kXJYG;;Rr3TF`u4UVHQ<QFA
zd6Xq1CPD&)nU<LJU_|U!{_u2oHM!+}2w(F+?gKv9oc;>11s<}wZJ0wg5ydWt-tZZx
zrbD>Lw256ND_%Q&`+3u0euyS<AcMx;F0%wl<9|Q?Du^WR_vVbFyamFa$pTBQrBdP4
zD`~EnkrD<*bjNJwOB!wIZHjMx2~1{=o)g9^YQc>rgI}|};U%jBCjyY0e?G_&f)%J@
zoB1}fu<e*~0v0k|*d);fgi*r!2fMDWssP{Fg+N<R3=44Jy!y}Aa#Mj_#2|KL=-yi-
z<vva{`cCq-{$<vm^cjR&U%DCY&k!||3*<3g`Llu)S7-mFUl9m7!Q}k&ffw(Q?b^RN
zmRdr1Z>9zhoBXXAMzD<@##BZSrX|w8tBCRcel}RPC-FQl>ZPu(Ee@w1p^e2a(IYL&
z>>2WfalKCOEV1^Aze55xDOWU*ugD3)EGbgI`@e6KDmcI`wLSnA-`&P-m;3RbM>X!2
zzt5|GwbB5?ysfW~7P4Tzz?G$JXL6YScVNK?`y0JucAEE$*!`~;!0rezF+10!hh5-?
zoZ4v+h;x%DO7_14A_zB{-m})~{1@2P`uoYxm`(^K;DP-P2PR)eL51*tFAx5aMp*+)
zY@0W{#<VG9qjPBgd0@*|u~2fb>1CmUt*_2UNa0zxg$U*S4W^kPBM#6-pS$f4=@iE6
z<v7Y=`6S3H@MlMqfGUQTRTatALDUeL=u5NBiz;>)u^@;1F$FKUg=+o3K<&xK%H%W>
zV{)hhc~&K=T<WRPdL>B=YF?N}PD|Zwy$I76g_)F*<=a=kW+%3500jWV%ihPw>eYJB
zKrVO!Yz4r(M|Mh~s{=ZPT?#s|uxT-+9na*jUI4O7YBk_y1qxWI8Up6<kbXJl-`@yB
zw1^_FoH(<WqVeBd;cFC#MS)^9j&^Q14<8gnF(-Bd)coMTRBL;e4z=BhlP9t3rbTUv
zM`_?-fVBa7Z8a&`yO5^@c>$jIYGugGNI<qgc&>^J+-RKO(a_@$S3dLQH(j%Ko7v_t
z{Ht%q>|%W~CNH^1OCP~2puH7XGxJ%oEFQ#x=%J>8b%1ypr1wRlvK++XHs}=ty>`<$
zt3Bv{Gcu1YukU@rp{yxU@i7pgP=ij9rNM<3_bZST0c+0>Gb2D0lX~Iab(sbF?KmLW
z-ZytYPmE@|%t(e1xoLd$*^uuBom<`-0{hvn$MrKeK*{J+1Xa?}vvj=uVtc@^=omx{
zz5>qgLosjdO_vJI0FB||!Z2Vp<;P2=@po?*27lZF8#(RofOgRZ+_QqzlNeQD0QF?s
zoZ<9%<ZP{#?ZX$xYFcH;6vktLmGWI&T{L$MNyq0d_wT2jWWF-F#f_3pr|#FDS)WPk
zSC5zLZFLB_?ACzarqOU}{&5~@kxDa#*vfK;XZ;?D&IizVXGHY_ScVLgM#r@fA6!tN
z=Kmm*TMb_N7AS{9(i~?2*S_mwl&)VI(k*GC8A$zs|J%poLV@-gqN1I(KA#zxSDvlF
zwasw9&x5$ts@Nrb9VhTo;PF_w-VFZpaDQ~qDrh9rVk^d4`xFuv(pQeZ35XnfLq7GN
zwEab1egmsS51510#F1O33JXX=>(XMu@cG|dHUdq?#aOSIt>s0l*Pr{JDM-k&;N3~;
z;b`yr)0V%_rGvPL1rvYHb!sY1_>#kEb|dngJ}h<AC&l70o9v~lDMFy}lQk|1Z5WKe
z(-uwCAU)C#XD}`qSmf~B1~wp&*9sfe0rEXW1A;UbW3hZzjgO8$<y<&Cy9k4R{Q&bY
zw3XK3lV2X{OzxFmp8OeTM&;93DLm6O!icpuZenVmfHd~)@*C|UB_8~cX<|os<}>&o
zoT{aZa5aNvHYevIji7IdUB)QAEldY{+K0~q&I3eS5U1bWIB}b<uK<nhv&O4ZDgp$Y
z!ikUdSm3aL+!Qtnsu`pTN^lNAf955-iTRzcQZ);lKd|`J)C&FV+QdA<pt;`9u%}GJ
zPCw6&V3blKIi<MSb+HZ9|4o(SV>CFmn#!`;VA<a`+kz9pp1`yz^ZJNxhl=0?h)8Q;
z%`F)buaULgK4zEf0`W=|N`w9h5RDX<$1~sBTfb|7Qn!efD^woevGX|vZhCMIv{O<Q
zsNFJR0NG6FGydS>MJ0>=!AqwQRqpL;&qFEH+#)iNer1BK=_Jrb3&|FsZw0fPjTp-V
z>L=jWrN_<l9o}`<ucxepK$&&2a|fL^s(c2uN3y6l-Zm6(7B#2w%1Uc!)E#}6(Ynz>
zOeI#;4Q0f-u+vP(%^u9cSidJE_AW$CuhL?+9|0t)vEj48?V2;az|}1CM>3DU4{a8>
zq(E&ri$d-MbpumMWd-(jUQ1!)`Ewu09b-KCW<<&T6pqo5$98%*Knoz|;Ta$^L#t-{
z186<4vrg#zR|-tH8vt81Ky3v+=cKCCPaxjc*0mb|rIx)D511FO@^p&Xa1MW(7iIWR
zYhNPqfU416aVl#fKu9z_m1Ziyg)l=&0-eeEUKQKFj%<sd<=9N`39CvW<6WVUzGlX6
z(Avr8F!U{o?_8U!wM*{aV;>(AuH;vvp(|QQzKbiZUYsot<7%!I%|i0AUpjl=y9UX?
zWC{4yS>8|bT}FQ6B=zttYJaO7k5NaQs-c!h)rZTHPl}ORK{Os;bfqw@;mc*aBGOSV
zjLu`SKb|H4g>3L}GrI&=w_pdSgk^uS1OpshT6p}OdHZ6G0e1j3nUSs=1ow-z+gh6R
zGsL#MO{Qa#<i{sg`6(pK!{5(d!hVO@<_%SWV;<l>7$kf*@&0Gab_;3#`cTni9cd3C
z*4nkE-gLXW{a@Q1xRG}o8z27se)-9uyyduWRYeF~SQX%IN|`@dFad)zng}IOUfUL(
zRMIs}`F_gOP)DqVD<k9*<X5(2q+QvR@iH4irs|oP3J;)&d3jiiG~O!z;n~GTfM*l1
zuY@Bk)>s|ceqjuoF$QZfD#hb;$Kk;Z1pGjZ*fz;tn|!LM|Nef<54I%Wd}u9dVbIKa
zG*%`kr&NE2detG1^<Iv(p{<x}(_x&ZNK^U50kqk{UZ^`MrKgI6UmC;G9-B?woEQ~H
zhsofTmJ4R^aHWt+h3c;O@t*81(ev$Ybr7F2(*OVd0cUV{DpXz`X<P6&A8<MeP^1`U
zD;xH?7v+&>_oNC-lFSo(Y(bYtG_tYd#E0#QZ8PK3DcI#yy-VYUPV?OHgZ&AQr(>X2
z0SFO&{v>{m{zD2jnA2oYiclyuc)~1RD_E($bdCJuK(*Xqmk&4n<rs6QSz;;goI>JQ
zI$0tx4~n?{5)sAVo%yuAPQ8PM%zwke5@c|Kluaq?Vo;O8IHyde)!W!H;z7Zx%Ppq)
z_Q{BEb6HGi#i~k^0gWy3bXni0W%7k<HpaR;*o<PM1MH}hX#6YUPj`kQM4Y=KM|`E2
zS^~cKk!y2gzO4*%)$xM7!TuFAHhaEe)Xp|Z<1DOSYvOE*JFO44Gi<#DYIpHB&%U4$
zei54U$#6WBBlUwOR)<n<R{A}j?R8i>#m0jRQ)J1-`_^UZ<61yXq_*R?U3l?>Rw7)o
zs1<X(Jqa_9aAO|v)Pe>`U<^JckYi;iuIwWQ^+%W(d4lx79(DBSt`1&HgJGpXID#)p
z4eU<9fIIcpz(QKYO%G7gFz)@yopbbHCTnP84vQwhjkUMadt-f=lBobSyz)+ybj<%I
z!opy#v{IkKBWbw$;zn}o#-_HShPeKTsbkkN5npKnZVC8f5iARb&JVh8cv1z=uJR@l
zx!c}Xxtk+>M(MF!i!)wyB`lQ|-)(CSv=D)Xv?R=f;>=*?8honK#EYtDR~F`ZB={vF
ze3AU|<ku3M)mpO5uwM9XP2182Wo%67URFQ>$%nPJw2V{{sN%ZYIv4`ct)qX!GZB&<
zfOWG)tDuDoN@Db!XAH~wEqjE0wt=b8m{RpA)7TkhY^OAi?FDB&Yjg!MCQ>;)uEY@x
z+Aqe@ubukI8EwDtDX{Dsq;(tEy(0VapybHSUa25zvDdtKFV+re3AmviFLDu&$R>nK
z#mb~zPx-Z<QHPrH_tpuh{%Z`*pbo(^N0ji7sA<Fx_A?IZLMh(?as&cQZ6h`6tF^p!
zcmn#HQxdpPOf%FC>_*zPw+Eokj4qBTDf|ma_@YdP_zTINej<5JsM-u-QOfivE=%Qq
zS|5@_zgQBo9d3dx2Q1X73ycj2D{8gha%#cAnWO6YLlei|zjF?$o0b*pD&s)T4S&DV
zO{@6}o<%;|b00b00$(zH#nuJ#@L;GiNJJuy$9cSmIUNt!b=?qesDoPaEaS@SEF0=C
z$z-_Lb`5~lFr4};KV2G_i5TR&)eIZGh@Q_68!b+qjKtRq5AIAo@@Y1HEZjv(vBhTF
z`{Id9W~(tqUbWW(wV&9G1bilb$FuM4yD!Er`L8cXeP!Ix*LcHPzBkwrCq=OqpDD$_
zDd;xKXx;6rWVhBNCRF?&QBQw&t=-Qk1qZuRx<i87@S?iObTTgdJ<h*roBucjSfiJ3
zq=camHMkm|=FB-+z2sz?-MBOOX$wa&&2kuQAidvdgN00Fhw(1eLGkMdvr70`9hUnc
z{wee3eSo%&A0iv*Q!x$tWB#T^<ZGt&-p3Gsvu(-FOuD9;^V6K%zn}9WzQ4dB?=Qpf
z$<l`63e1xF&<wWCwi}?`d;sl3^5{{i@R1G5&I3r?Vw5kIEk=jF6gR-H?I)^Effkl-
zpN(;)hvf#WOn0y{Dpz|vZMRoh#TTwF&<8tENsW6PPMWOA`LV8)vxSE#F71Od<iK2k
zGqLWYAmh|>ZW*U&E;eFh8VADdPRHax1DAAw<4`i0i>loV<k-FHlC{t<%x?YF6})@H
zGJG!e{6As=&tG)w@l$PWey<dwc1_vcqC|x|;tgQZr?c7(iOh8Z*X(2W0Dmt)G&02F
zo;50Rt2SVK*Sc;blWSlTua=Eq8MK@Qf^ljwwzL_N7w`utg|_oRx@%C5`H6H}2TGk5
zo3n1>ImhzVZ1XQeA=}QY8R-tYnz$esZk-2fV{TvxXGn}}c_BQ@Xza#&scql6M@EI8
zR7@vR6UBVSU4dUU2N;LtHBvUv&W_DKvFWf)F%uVQ^efy~YfV1RIZf;@5s2ZYgc+R2
z`gE&x?zJU-!~Z$JLIpVyM_@A1%B&#4>m^+1$E<s?u?o?(r0Jfxsoo`tiR)X?i_e{y
zyP_?y!Tbvn993-uaJmA=4rqmm&ZPOi3Q7#?=5(DG+hauiGIB4TDD#Ihzstdt!gIa{
z;OSZo*+<o<V|QzglI_<5z8J{Fq>`qfdEF!&oq_53-hHiN`;(GQKvKEgNsuAn0QgF>
z?Yq3`s|;si-e*^XVuPoB=%B_5lMPPdHsWeBqoeSv{cFtFM7BV0kEV8K$%I{z`udZn
z5a~=-`8#?01ot<TcE5<on$mncx%_{2SQ|%<J8mj?kV*Y_^NN9M-yE)h0K*@XyeC>5
zo}(OOu^)RSeVIcWfJmK-KBjWM!XfoeBh4~Jf!mO~yvBz-3OX%TE6<|{%8F`E+7M@S
z=c6r(6w=$M!Z~A%`XKzBUE!Df1I5<T<UhiAU%G5Td~;+SU3W*~s7pYqG~VeDH&9j7
zM{GQ+!Bng3OfqQxJ@XelB)l_Tpq#DJnzQaEpqx4})Cb<4gMv{_x2%7ketwYMZ=HXi
zZ_`O`|5nH_^3UzaYT`B~!4isgz&1r6Ax&DGGX3t-At1gTRcb!bx(K}Co5g(VbM9aL
z>PC7T18rO+bnC=Dxt!g)`hx`7FS>Sw)m3#6_x!UFl&DDX4(2pVzal2$L2rhZ2o~vD
z?9jZTw?y3m<oc*Nue~I7=81QHEDdrw0_#;ukp`l1@nLeh!CKHhc34T|Z!0BGO$K6`
zV~|qdt2};wIULav)MllXHntM`lBUek$1zuhD4Lny*(=g%{E2)3&sGas?kxy7m?AUD
zia|r4Y%DJSJ*-<Bovahu8|_3sOU{%ZXaUe7i=Dt>{D2>?hgh3;hH~LJRQdgaO#^92
z(g5Qjo!PhTD8aR){y4LK<>PzeMqa1lKBKT1{M~+Nh4Edk=^CSQW_`0=lrNo7)jX*5
z_HUQI(q8#Au{u5@cC=ys2i}OKfvJNs5C6J?0l_CoNqXGsfG%FoB)6my(Ajq?q(>;~
zC)^IE{P#)?YsrbHE!5GOBDWj*EW~6pI9+SQdt*gAD&9w{b~n7%60dzVH2;Zua*VNk
zobW0x2&toB+42|gfHLN#&Ove0Y8LzwENLts-DslqIw+@`lH^6LIj-Uiy^~mOJXD`y
z2+^05xyNuiKbju=isf@GvYOjdsa51Hy9o^3D&{B#f)2Oyjl8~#I2b-uLv(lOte2DL
z@FI5$P`76zsr`r4hB{DBL_xYn%gn?phAf4mz_j)$6w;Ft;*E&E#8e?IpiZ;%A#z)_
z5OP(;`qB58ddxyVB>xKvzq)Wbxf&m*Fz#>o3@n!E14d_RRHkj;<@x=KT@LCZutne=
z=2bB7ICB7Jjs6A4H*s+Z`j;{|mU%#TA1dGH;weBp2C0slcq}>5^kY;ZH=SfDbc~}!
zaFwerPc5y6kt?)n$RcUW#^hNu8s^l5dKm_M2q}_ofqvy_@5J~dc1jo2$%r&(zn132
zi{At2C}?^cvO%h;@F{&BE8FunU;A^_WYFa8?Or?eJ^sKosNTmsy)yYRimuVT>dhjb
zE8G_n>m8ENuD>S>t&5*rW6hKsgct-D+HS_Qg(%<-8WcUoBh&RKhzT(L38m@bW$iRa
znx<iZF_i`wo{fDcCBX0$+~5F30bA=N)@ljXQG?@^j?f!5T1+Onv6lKTZaBEGWI?pj
z$!PXSh>@{kwnl^^jdgDp342+`Q`EnbyokR5#*2)fIwVBs1SwZ(vOowquvhnH?W=Iq
z;fY6pegB=}W#f|bRDYAnqVwHGWVl%&3;OE*_Be%+fMLbWeY!T2)s%G{BHA>r-%8cP
zc?a{A&=?OBdTNTblUS%Z_ZuVIIZ#uhG-za6x<SCA_`&!sx`S0hCB;Y2>eYGVMK1FT
z=sxaxsHO7MVO~bqs`=ONHsInMtksCUj`47+a?LE=MGo8!=e`kwjUSJ-W$vFs*}<~?
zGkwa1-|Gr-EJ0X+C$Ur|^|l5BvO=UHK`<M(t{^K8IVFBzk<?*Ze|#oT<DH}2PJ9)6
zPz8VyjLBtP&&pIf{^~uXD=N;ODXdg!i8^w(57mTR{v+h5nD6RZ2&$CCa)9ukC9-gw
zc9spKhX9|ulqos~Me7<hTx0qRLJq=J_y@FM8#mY=J#&%0%jG-$G8u-&D#MYMQ5vCU
z3Q)}X<zau4bWTDZ$wm9r@;(VO$nvhYyNf&3b0=@7{k;eBA*1=~DCFz!?Fbze#^wYW
zft1xMa|cVfLjG3n17lkxw(2Y}SYoR(r!w1s7Awvv{-#@z#%3S8ih77N#b>a^{c8~7
z07VZi67f4{$*qt%eRV~A{g+M^xTbyA*p3-WMF77^1BfSM0%4^kxGWPnpy{3NCf>tz
zAsYSJON6tVEGY#Pg4EUeU?Z_mr=TNIVcW=iJJ1=Kk)%@7$Rf*a#d1TG0LkksE=Hcv
zWiE=M{VOu&Q7p$nD?PPCErA=QiqbbFYs>^}xYF26R&VL3v&Zoh;${yt@RF(JWvbyC
z>)c-5EPbNc@0!)HOQUh@Bei<_`}L>!rbBGuosUVa=X<<slw51Z-{z{TJ;gGec}oJ8
zC=>A*vqlVZ(i<cB#OU(VP7*&}M7?FQliBR(s2Lxj+Ppi#5nJLgRVYraYt6fo;3dW_
z7s_CU-S2{(;_a(`Y}tvfS1vOi`Z*EcI(i3b@te6Sdq0Z-ozL<;BnAzA7dtd{s*(c%
ziQk*N53QE=&DR*&u#0y+8B7~vTmF;A{bYw&0DdWcN)3_5>F|Rbx_gpfyYZd1n=ydx
zCI)w|hBnWX4^wz(rW8b{ef%C>1U-A^(;?EOZ=>>+Hns7HhzTYFO;!AFTqPNjgucdM
zLxv$i2O8(+!3+$v$VppjR+_asQ)xc?xS|nJvEYFV+*p%iCzB%;1}w)2me(|)&eeNc
zh`x)u?s1$r;sOjLU&uONMbKfAkCzpc^KaDcEm5tk`i|X;2>_!Z^=@o#z!+Q~2-nPx
z$|XHaIpwAf(?FZJ^Qd&TI%DlSr6>9ge+^SX`Xw;OD_`h^Vq|lN(fI|R#M;$VV}^N{
z>zEzYPhA9p)H@S{0TKJ`61^-!xF?arti?BZgdK|)KNp+<bxtp$Ch`ezgAqjW4c2CL
z=F748sldR<84Mq}5kamcP(*t?tNq-Zyl(Wj(XPYZj91CJ^p#+8i<a;)2J2|^Qdnhl
z_D5l{i*Kl8FYAk~fncfw)tY;Gftu_vg%jxvTPx#RZ%ITPE)j6kR{t%!kVJmkcx)-N
zh+Wg`5Ekz<E4sZCNmQnf%q+z9<P@%W08lwrK*Z)-fXR{2SML5gK}T5nWr?$JxJ}=L
z(24!@_Lqnn<pM+dBSpV~hh7%6@%r_Kq(PMXq+udku<Wx_n43bXUTWiP98v1CQaqdy
zuMt*LpA4HM1Ec@kn?A`^Yi#052^=weM!9`ixWklhq{p4)w<(&iAAHJxs55Lsf9v-V
z!$)$&)>CcEL^{`wfG2W9ihcXY%U~yI3fXE%(3*Z@yJFVqq@d4lR=T@@$626pduFZ6
z(Au7}(PdJCEldgJvAu>}Tm&Ntmg{JWXdlzE>Q@xf7sW=4_Pb=CmcAkA>n~IoeR4T6
z%}1b1iut~aLN_MznhL3jJDl*ta)>x|G=Sg@GY1k6`&gTl2ME!dfv?1%e!6RSiIlps
z1?N8ETQifx6uC5Rr|&Bt|JIA8hw4*1n3&t_BnJu^LsjK`6EQ0wBvZ^v#k&fH4^F9b
z-?sh1Hg3Rd$3~kOuIsD?y<tjnSNo1^-!lb6tmFolR>pwP{jEK6zkk=OLOm8nF%n3(
zAKYrfRVIS@G4Fuz4iYGA_gMGWYZ&bV?3!g0&V#c7Utew(d#p2m<OO|m90S?Nc0DCb
zj?n37b(`SMhlc;cm_Nos$wzzt3b~hx0OQ8yPxQI?exnD)@{{=aH*Zb!uC*m93yI6u
zxAulSfwOC(xl2gr^^^W@DfJ8PhXj8V0rM2#Uw5x+@ZnE$*Y)3-?49M18*wNm{cfM{
zbv%Y-&dC#hTz(fD$`#IZzyGxuXSnIH6V<%#M%Z2Cv-DIqb5`D>qUhU#t4_^V5<$p(
z7}|{(sux*e7Zu4q#+HC=yXLa4|9((G2G!5JPAFz=#6yYC)R0YHdJSrjrU_JOG1GHs
zh*hBS<xcD^)@YAsu(h(uO!3Vz6X>mzS~IrGU+hver-})=A4z0<8eM&byKs?!j!fTB
z;xh9o3GUO14_D2bIVWxuz7m=@wN)Xml5D<BL_@M96`|tnfddl6W@5Bois}FEOBw|6
zg>=A&Ml#cvx_raB+x+{ipRohFq{W)l**Fm|Yh<{8KK&d2HJ=d_GC?);&jT}twuy<p
z<4HpI*pu!~Iebn>XA*o1yIr%{JD6YzgXvLGvZ6oU#c4usjCi7uaN@!r;E~4Yl{GEX
z@*@rB?MzvUXS_{UuP!823R6m@NT>4`mN*ki^pQceHXxSFCP7et+wy|FYglqErZmD!
z9(WIVy7y#Y<O_=r^$?;(OPIwgN1nftL_UZ|6hW*>_lp|vus6DYq718G3Qb%r1$UDt
z<`lu!MaNls<A1Oykl-X@LqEayss8@@ji&Uq6)QMf(ntX6ixh4J`2YW_jDj}44js+&
zzkI&bK3woKUPGvMf^b(x6@GSKzL3IDi20fJ$R2W7sx(jUS7vnUbb4G>u;^E4sTeuW
zx%~TUoWvl=z!iu6pw7{BpUm;9iN2gRhm~y_QJbs58CTO>lkz_areF{VDd0jO={Kun
zu4ca(yLz+Q`WIJ%({Axqz%=KuUapXF%WeAiw@Rf$dB2#mRdb&hnjd!>uONcqc1lG>
zH)d3`R<=DXD{Ze>*;{(<4ihFW%?AZHe<uKG>wI_Dcg6#X`_${}ao3DR+qDkE{W{Hz
zW}Ejlzx?@cKP0D0cCO}J{OxqtZ}L)Yhn%-0Foi-;>%3+QsrDu(-}%edXWH!(>?1py
znmbOaxXhQi%nXnFo!#<I(M!k8Cpmf9YZ4tw`S8*~Cw2%;9D$?^z^(p>{(!pGg7UYE
zzf0p;G*H+5XeNIw`})?V#yXILaM8zG^e@<xkhHVs^Q*g;zuLzb4>q!G-E5R>oo+vb
zpYqi{ji_c8x>IkPZc-Z}OTiB3D@P+HQUQGQ-)RMXNS|;nU-ewAwAf)GZRyOae}+80
z0y*5Ps?(p5zd7@@riV1V5~`t_X!WKEzRK1kcz=pJpJIlLw!9z=_od8yK3FOA{tT;4
z8v6^j+Q!wi|HO78x#LJAb|G?atX_>D5_)m}T_t*tplpK1ER=FMFyKTXBgD#$kijaF
z>jSB)pLH&di;{T55iHtvxXrG}YIAwwiS&@l0@%I0`&@?NKPw9g#_ldkVw1d$3yF)o
zmgmDGi~+j?H7NRDa7&W40ScT#82}EYufJRAk;ZbtSgbqq=Cph59Hta^jT1hfwA-Am
z<Xac-XW>uvC80FiZYDR!l^Xw3@b>Q`+X8&XY_c)GS>ifx<&3pPdFPNKS<9`4-m-i|
zYz{DF`CYyQ9f;VZ{``krrHYjZVp|dD-H5I2pms$tZ_PY4PpH=Yv>Yn*rgjKC3gptI
zf&jKw0^@;g=&U*Bi~VT?aWs0$i+KoU48I3MUXH3TS%JaI)j(8XO7^$P1m77HGI;9v
z?UQ$JG>-?g_~m+)?+@K~lB3vCzT?0DRcm^bj59{hF8A*<+h8$YN37PD>pQL4WGru3
z;#$gPSQxaC`JWfHkKg1kfKfxv0V!GV=NNV&3~B)g818%b91`2LX?aeRug9QS|MhM^
z7vtYGWRd{oG-uOo_GKb*)j9rM2F=pI4TQM$&Hl?f{R8qT7fCp&81UN)-Q_vRFsQL%
zB=nDal)8hRKCq)ho`)JA=Jcn{kOm60trz#IG5G@f`gDXX({b{)&29M&STM+to$9}a
zi1z<EDMkbQ%Jmoa>P{Eu>>17N2vVzLKNa}PV*YeOJ(LD;kv^EuOHsY&|3FD#r3><4
z3Ocab#@rvT{@ss<C#0VyB1koi9T~%S;?chbRJ|?m6{28FQiUrxwJHt8E9a4UxDAgJ
zj>nX8^!b>7cMCd9>gRixYwO}x@g0mB4Ja9G#<v=$;`zkjF`WPbgL}AVJ`1=$^Z-2g
zt@o9pK>hqj%f`q3qw3Y}ne=2cQ0^mv36|>_@5Xf>_079vwO~JQw(6jQjU{u@I}Lb`
z<G%*#)8F}>uc<++S?0Y2d0a+~9&<G<^#aJkfNU{Sm`&vGM0&$-D8DddrO0D-atmc(
zEIs94vSPY|5@IYH%nAaHdC7bnqDe}R_gR<p3m>=RHJ*0<QrCZHUk1wqupxLse-U5|
z2}lHkP0v782>c8(o{0IqG9CJmYT+^WAT4cyyTDqPuQzDqf$)+zvqZ!0VtwOie{=0B
zqXSRmY%ruAvxN%5@DBzW3V&utcoi7y|E+f)Hzaz!4iC_B@JbQHgn$@e+FW1O_+7z#
zGE<V!Cmw=0moH>nna2rY@T+Tn%`Fnmy+cAJdY}0AC;PtRvS|v0Ibk^X`T0oy^Zl6q
zh~;$tp!}zcgtJe#?c1s|0G!TYx5Nws-F4NapdhWDLH7_$9F&hxt6%945+e-9#&?P%
z^bo#$T)J`~9xkW?6I3S)CTKNi{*yl@aGbphLc;3n{T<)~&`EV2M^V73WB5FsFM1R8
z6;RqG!CBf38@yAh;&m){S*`lcSMBegq_V2MG*ShlN!6m75+V$0Nf=;KItuEOGpQ?n
z(6FR1ci@@p-7IPp3&boNG!2sgLjdhHE4f`QU_J~;owiVvr&^*<n*FIXQckP1%TMuV
z5xR0PBUHDBtO_xZj7*(|4keJm<b3{fU!quG#0xR50GgV8AQyMG1afXQC=>@9$;oe9
z?j-j0N?}oioIcEs`Rea{wQ>a77fN?{q;?|(Y53K70*j&{C+Sw<6DW5R1Od0h1-(82
z;1~^9(9W!E?hkhk55TMQ+-c!5hG#!jS&nB=K7rih+apMX2N<S6t@r=6_uk=L@BjZe
zl1Ryl2!)WncS({xDl>ajHp!k*B0^S1R%P!!G9oj3>t$wU@15|wKkL-#ob&nrcU|A>
z-PP53U8lUB<FW4JHYl+5G!M*VEy%om$4e)r<L;(Bh`kX_NnX-A^(?f+eE;hihhYp~
zt`Y3k)hn^7x$E$P{bFIE=6$&yaIF@QW}VQkHS48iVj!(1qq;sFePhjXu(WF-m_DVk
zOVUNb8E2m=NN2>ncRfdb!1&6L1<9n%D+_v4T}&D8YKVUxLZ@F<AQr?j>RGwXQMpj#
zvi9w(a-_aXHrn70GdORWlfcID5bzR{bMK@IO$#U4GkwQ5v4-_NW2F>c<Fy=l#!Skp
zQN*#FM9ghLms{~hsV>QY=2jxC^B0>9CMYu6)u$J}d+^UHUfl{~-LdFN4k#BbN6QAc
z6{Z7~HQ`%K+I6f%->zw*KT2ow*n55FR-E2;5hI%?Mk|ZwOgdVcsT9qvNKEMN3j!!-
zv!Q`}r0Q@hN0n5Th1m|VU5-CkG@2_4Pb8WD25xY^nqxsX@O-1=2U<IioJRfLt5|(6
zV81q$d;bQiUCk`QE9I4p&%2U0hubQqBup%@l#za<^5rx+Mj~Sn*T_)K`d%&z1`w{r
zjAf!Od+Dwx)+LytBLxkyzQofMeWHGRRBS=J_e#iOq*NuTIpd+!8&rJ8LpCJ*zQiCZ
z?kjc6cWU~8=>s)5?D|AKj^;J9hn(zSyQC@>02bD{t2fK0!!;|W0GeSH*C9!17slG1
zC;R<iovVqcFGKBuz(c)tu7PqH<NM?el5zf*TW@nqvT2v|C>a)054cMup2ZbX((4Pv
zCcX&wjZwi!ekU6TEEw;Be)FbZ62F#Qk$x?IPPkGbTFL=sDicv4?~#Vtl-gai6%=Xk
z3c7hyo|}tGL!@UJ<_t@9DPt3ZYHx?idfHq%Y~Fo1Z(zsR83mQ$yGr1Yv5VAhmP-gu
z51dH@sMRPg`nDWef@7^KyB^N=o%JfM@B)zalm(&Tj;lN3%^ROj_fa;rHq6D`7nb{=
zvh%pT0aej<Ym-aQ!h7mo7``VVEyQaE{K`GjKGo2|xZf9e?Qj?9z9Z41)sAHxL>a2t
zF<|#=-6$cVb{?z8SChr*E1bj#PPr-Jo86MO?L292{k|66V<uZb{Z(V@RTb5N2yV+A
z@{TF1Mlg%t23XMJnw4>t43-NyL2!*%iV8b}X6%Un@ypDj4A(&}3gP?QiL$VfAx>|)
z+TaI}<m)}X2Xx~FkhhGWUIT$ymnM!c-Pns#^zL2n395tLaW{I!t=_U8G0Ld|-udtS
z_W`!!ZX2kcd$X3A<uTM`#AQ#wp1}}Mw?EmCS8)97&|=k5rj?=Ba>>!*B9@$pn&Kc?
zyHG%QW%EzM#(avP0_wADL(rr<cenPMh#Fbc2WU)$FpOE#kn@>;vPUar>xkxmsc7H(
zB33x6u4w(78u6GL^I<EL1p|pC!a(o0N()rq1NcYJy{}_Dk71*Jm|ea+&pv1%8}8aJ
zNO__+`?kyH*X3-G(KU3>u}q8<yER^@D?FnaRbds{Z}?y-Bv_@{<fS;$&CHj9y*tCP
z&(RwH;_BJ*&m5}u2XrARjjr}1EzGW?X+90(4-Hhl;}P?z3~biyZDh&3ObC30?mBf_
zlG>wbC*zd`AIr-#D2PjV350t_^J&bp@=Xv_kXo^-XBhkFOu8tV={cHPW0+SIFokzO
zx%R1Sgv95B{KaBW{02MM#on|YI1jZ79?0uNzO!=E5#R<<q<t`Y2QZl8O#1;n8*#Dj
zqYt|ixa{E)PdGH}2(7$J03|XsEfNsklQA(EG9T3)E`Oe<=p#=?UnV3RS>#3JLX1{9
zW<9m<5K@~HH6%o&i}QuK*r%wjL@tr+k#HF{oTBK)I(1HO(gwYi@r9Sm<}883u*wl0
zamj!(mkX7{aDGnJXv+PT8$$M*>xt#IOMc&`(~VR)$EiNKS~p3phD=Rf-<j}gFx!2n
z^F*Zr7F2mc23$-+4{R*LMNL5t2&jp9U{}r%e%9(HYc986L{K}*YoH>c5)1X=xm|^M
zL(33nhGR|pvBz`#qmH$YP$$lz%f04%nQhE3{8-z}u2zw}fsOL3*W6rB%8WXiPo)}X
zrTfM=oDGJ~PZKJ-EE+||CE5<cbJd{)wOP@NE}c3jpim<ze&%O|35o6q1<I7!Fn95+
z;UEVcsW!P?L_&$#1CdM+$0(iu;@OQgl58;)e>g!JJddJiFCTj%^`K8t`<Pl~8kfmi
z$M_7c_t#%1V=F&HD;|c;N)s0#Y*)c+BT!%hyO8a~${p5t4mBvfX(y6W1Ztt#`0`d>
z1Ah%x{7uX9C3_GY`2cznJdY-P8Ajdrmx9acUFJE%qr}dBd6zv>xLstDBjiVC25MGg
zz6*hSILTWFuM5-s(Avi?x;Y~KyTA85Dr`pzf|yQ6rw#>wbARZ=UT6mB;uT7It}V*T
z=1OxR)Nf|e?^!0%(_j!_umt4cpPK53;+_F1V1MH0F$SkcjV^q*)0kjiig-@^a3<El
z`3(zkQO<sS<P{JU4JUCKN7a#mOfB&2>%WHDK%lh7#j{Mubx>*X4x|266=W^1&a3jJ
z52adHHq`Sz3Q&b;m>r3RpJ>ODP@s$X=AOs=f+Mi%`Ze0eN?zZvUf;j%5{rkCz&C%_
z6DQ9rmxW=^zGq4*PkaAdR7wwIvD^XMsHW(HGc1}7JySk5u^qy_J@CmLHKC3>0+)J&
zxg>}mMds%DGo_sO)~DetTzmF0IK!Sikou0^+C+VD%=fs#War|Jpd@bLI7s+9#~|U$
z=w>;V;C!!TBAq9-42ge`Vl2nX3yD|480O;F#pSQW1b^tyIF3igYpN`O%~EN8ajo{k
zAxG;aO7|nFec@Y)^0DD)=vUR~9un~$Cy)|DV>DA+)3h8cG&wpvaJu2w4^m*fhpi+_
zQJ9ZuQKx)oJ6X`SXFDUG$fIpE4XK!&c)A4rFqi7~1PIdr<8U$KS?DPb+3)%?I&UuJ
z^rxyGGhF$+@L_v^H+!g5dW3RcmQ{VNO@2-GN558-1r9lN`esIU3@-;nTKl`1I0U-n
z{FeTcWVdrpVZN0&cahjutAL6ojs8upb;{I==MjzOTUxIg-TGNtB0QETtH0l_NIWAn
zd-0G0<n+B23$ty=gm@IR44!Zl)Ol;W4qS~~Ra>n7{NBchm|cWchf~gV#pMg_t!Fd%
zc~1fbP9KvQ>N^5k(Caq~{2Fl?r16ahje--^uWO4P;9W7lXy)eobZdF>arQtV)|N~E
zTchZzo#C?^>0BC5*zd%Sc<dG0s%QY(3E%Sx!febfkvP^u;0cFp^avyBNzFG}Jse#|
z?^9$3DYN=Dp}9_zK+Sq4Z-vU$A7={;TeCW&vWFLzkd_`zLD*^Y>IQ0F26G)m>GnWB
z%+szyDOpaM2m3I26&HPy;{;&|cx`&Mh#lOC3+h5FvDNM=qPxcVzOBEm-;wg{;dQIb
z<)RS4yp$e(Tk!p4_lepE@y|r`xz)RBCn&kr%*Fh;rM87H9&*2BLzzP3|5`H5^guw<
ze)AoStJ2RI3+eI>SYvf0i%fe>l}k7=%Sz_kt5`KldNbGB)CTfw8rn4v+f?t&@n$1?
z?R_zrZE}`{$x;5IU=Pj8fwM1B2sY5b2d$?aWJ2nn;%pyFmH=1G;3Ero8zI^E74Kn%
ztoMgqro(W~mYK6OWuw6-)NAsu;+xLFN@4R@dk$hro=bqYxc69(B5tH`zgw35VD07O
zdpQYU7JP@`voW4H<B4EWoaE{Kc?5Go;FItW&AJCrJsf)#8TA#d9C7a7Oom!lfKGXj
zeIl4vvK#j}V0>>@M9F#DeDk>mG?`kw+AT)Q=%}{M5s$`JnS$}tntWFTwmpgP1jffI
zAsQ-=OZ$>!7U5noo8T~05&a+`ogUK02e1XSEP9)jtzpL$ZR9eu^p}C9H;eq`OmGzr
z<O$}>!zpkz10g*i%JjJHj2L}+02|h)vK}K}f=(M1Bs3yGXYe?Ye<G)5kL=7v5vO3&
zl{>+)6?{pn09!-di>o4jP(}BNdm>cn$+ZMQg6g_g*vF(D_b+{NK=(Jto8-#3xuf3Q
zT{uTW;U-J}xJC|*HjAK|WoB<9{z&c+po$KoOB2Jki1t!=6!wBg?zzU|sE-ueb`D*d
z^`}Sqt%kl2&g87+=*N1Oe>N$!T~b>-6%+h+(DHG1H+Oe3IW)~Livp4HxT6wJVg-RC
zY@NG=9#)Y7W9b>$`Btp1xZ@TFkOxVK(ChZ=-ab{5C+Bve8PY*(1=#SKaUR&wV7#aG
z2rOz>r++$27w~#(+1I<CNo!x}5x5gLxkpx8zgGGlLyLhp7->yhOn=9^nRISEL9k{%
ze0%n+l))FCNHh&_1>`xtT3&1ba)~saip{W^TKeS?EV>GNNMu&Xr}1u(#J{Rn?E$!q
z-e#l89&vV^PO?*&m8P{!hxbhjNibgb*Nk{@_mv_rfXkPWC$bafiF73#JG+m#q+LLd
zW}YBeN{P^Mo&!|!(!n=S4*>Z-@>BIu-|(g?FW+{?+|+tCdbQ8LIR=ehD<Z*>w6R-H
zsS<AcV9Dz7i^_X~(5_^dI%|T-L2uAKYlO#5yHBV~TJ1Zy7IL)n_{gUy%D|BUF@Y&|
zt$33~(*h0$V3qvTVgwP!C#Z&Cmd~==ek&~{j>bdvT_9J;g=P2N0(r%rC^8d4+5q+5
zj4p1;9*qvZ#s`V=yfiTTB4PI7ZhSCScDh)-U~dqrzNtX-MBM(00o^Jj^uo3|PGJN!
zUNOjs)SCC*&qhY%tjQKFh9Hf{2f8=JE_(?24iLr$!#cjgU=_<h8kHZL!@iJo32PM8
ztz)30sk#6dI?5}K51(C+W(TJVjO#9vr59lUTw(^3-7cv&?!(_-1+{n(fBEog7^cE=
z>;TGhF8R}XnDpMqtHN%LO}z<Udm`~*lG0+qEmJ*QM1C_ciudb8?M~YrQWX=v&Bxg?
z!s$R;zO{=y&k+?sr|52h7xRLLaSY3H{Sv^#6zO{ls_yPA?~z}>%<`dswa?RF%4l9V
z$l<Mc6Fw{?u97=M1fJ>`nSl^3b%69>h<N#gk9qc|yuPbG5AVhW%CAx(5?9n0-nP6u
z&yFv|e3$-p3|at%jyEQ*n_vyaVjn>$Z(Ik3e$-;p2<~e(DIcuyMZ4DqEtc!N<%PcE
z#0%+>kT7)-K!3PQGa22;8%<~%Oa?eDoE|E4vkZ&%cz@xhiRHBz3=4|Owm_ni?iUI#
zB0S<UCMq4s-(xF>ixO^W4kS;6&vYp5k}_FFO*Hd#y@=*KS%6mgX8K4=>t!f#w@rvr
z<Lu=Dv;B^~djHXAnvFP1rF3sjTSOM^LwCHHxTO_QeO*N0<*M3o_oqBp;F!5WD7x9b
z4~YD$#Hv&$Cbbbs5B6glKgzT+kq`#re9@BsgA{b~nTL}IH@PathKaMl%2V#Gg|E7M
z*Jcg^je*@~0V`vGJ`*Vr{#E4_#k9xg=vvsP-kTV5?OH>R+*6z9*X0*G@DpW&V)0B!
z@i!n5{zU;pa3%yOo)j`qf|w8JR?BZoHwvO3+g!tf${S6P3&v4i80XGNh9tpd3Jk>H
z6r$w;ewxV}8WoOf&k1Oa!)NaTVWrt|-!yj>C%2MBI1D9Fb#$;oWSKQ@*l(j^=WU9J
zFYI9AS4L`bVrcSYzBqGXb2ss=(*Ox-vGUXnsH0uOn!k;?E(Mv*%hf(RbOQA<+c`*=
zq~tOI5dP9UCi2@S?=u%f^lQ9wzeAi3gp^MbGGJj_@*NJ-gK751)bd`eIAcL7dx<k`
z(MIgoBe^u4RWEx$jL}i>Hp)+w>=(%+I2PDSl|A&s+&dVNoT8(BIs0M}<4c`kK!ZWB
z=0lX9T_^EH^GEH6ESMdr;GpN#WC3^vqr!W~yT7VYIThf!0t%KkaA3YKyx&5?JhsnJ
zAFig*gdYj=Z-7v1v_(}-NnZPQ`%<gpz1K*YVVVLQM*usvmEoLC0mW75Z%9^Cyd|jq
zq~~=xh2GbOPiY}culK>eo$hSRX;DgOa!mz$^rOuXd?;fh#)#&((#bP;765QO-m2Yt
z_T0}Z)(@Zmkc^}SgRmkm%!g;wNN#S?$%gAyO`qd4kNomYoVFyywLOxP_I4D9ZikB0
z4ZwGMPSAPmTbG_g@jS#!t_?9%s@i<^{j1VE{|QtdFbjzxmU~i0NiOG({YLg^GvylC
z#k804pKdiulGuP6(HLxX^Ft*$eWpKaL?;bGQ8GnoH8gK#WIB-AavEVSwz|Nzqn-05
zsP<~4A9>gAro=)1)VVx)2bL>XEP};^rOMQ1I`9JWVDB)Dx|~9R!()zG1pu(f?3<_N
z>l-s2Mw}0mM03*%pa2EBv-uhbgm(Usr#-QZayTr{W<n(=coZ5M4~nA8o#zZ$i3>En
zxkYdjc}Kcf03d)r3QXD2U~*zOHy$GA1}wXZVFKgMHy?q!HEllz*_+||RMV?@sxP0@
zlv3^-mtBDkXu^))9HnP+*CW=KFpUTzIU(j($X5tqJny!0dn;Lv)t<?C?kzM7?mExa
zT#c7MLrTecS{?ciewf6V8GdLgm5JEBATS4EblrvgyCa|g2JqUnyWD*jLJ^)G6Je+E
z&WM8p5B51lW@?bpfCMPNPFV-Op%gokhmPviv&4L*{d+XwQKSArA3!9mZYFA8_=ZkE
z-oqY^ooFh>K0?p#i$U}J``wXQ(B*8xF&`>kf}MSX%WLBR98T;Z8*)-uuLIvkljF|Y
zi)7&-nZUl(O9c2b*~sdwl2Oy!Zw5}FQk<ZMw4PqC$SgPeJ{>>!B$Bxa|G^;@wyGcQ
zEs^0G!3|ZPlTAMHk;&ee92&>JwP%u~(N27wZi(=*ae?}zg21@f)tzDPR=F_x)mL|4
z4s7i}{d6<3BijX>AnSEx-&zaYR%&KHjUmw8s4xZfq<}WLkc1f~913mNiY}93e9}IA
zYu84+$Q6n6nvh;!r2A55t?TPc63Zc9jek*4O-^fQcz+4<@20s`j6`wU{bm!^*mX>y
zkmBm+?6+CD6Q$V7^^bjgnj#<VJrc=kfkHi~_CQyyJI;|}ya+}8I%O4!Ky24aTa%|F
z_J%&Axm7?;%f4Ib{IXZa#_Oz2Xur*?^X>CDVMOq;>zeg8S)2QLa+$}cZqyG&VHiGe
zn_QI>+I*&<qoxMitxOzj)lFXv<T+F@z%t7j2uWF+R4$8MAcn{NWz7kAgK%eAHQpS1
z2&({g3~oAI_)v<m`}B-R5L$N7z3`L%WP%`*tW$$=6#DULCGM#8_qjmf+}0hzgUz_c
z3oCmj3_v8hcF8PJX#AsfN=YlYCLu0CfyA?rj$Ue1+|m*}iM02cy*zNW7po(k_9Sb<
zatW%tWoxd+u-dc(hUot8P{@%Embu_JWIEfxinxD>X8i4l9x{FQ(zI;|vc)$8K|U7t
z_Aou!M6e$$lijFVs7nlL3+H!O)+#>Ax}AX4e8PA7IO6MMLib2cZ@XPSy|ZkxF<>KG
zI<%HiErZPiD11xcF4sfO70v2eN!lM?jwZ6zt2Dsb!bU*-{mkRtV{@QU;w9N0e<8;h
zr{lBDS?UC&M|_8Fj9%Bq#h%W5gL0!S?kSEDd#IHdPZ?w<&>}5eya2+h(r5vGb-d?N
z`#~k_sa@5<w=EZN1ZleTqze+DK)Vt#jotqI&jk5V#{>~SaBI*0ci(`C3O@1;U$f8h
zC1H>;Jd|n-R7#P1J79f1m0QuKX#T1K$V5YDrceoVB5t8Em`2S^L8-DJ!~Em482=re
z4wav6@n#<nW_^n2ytTo)8?x*gpSjk;=n2YCp|a<HFew3&mm7ykfVw`G16>**dHO$-
ztSp-fk;P{KS6lic;0+5vKm<B1Cie}lAyv+~GiQu01!!j}rQqSTe$pR@qwE^^mP1x^
zrdBS==EfVtnRZ(5Gc)%a*YCGfNXjOty`PVI779_5z>XL#gu|cM(JA8EW(2EhZ>_*i
zTCecNIZsh^lGHPuNVG@<;8OjFf6K^2AJPR7r!(36G>E7}qy~$Rj7#hn#2=iBH9wyF
zmDh3@L?N5REAwN(?M`C?FnA0Uw(so2;;&+yn<=NX79ZYjnlT-g-D~T$d8K<eul*~+
zcvFWQmZ;NxwoLMRKovXM(mg7IgD_+7VC8WY2$GMUeBlZ0SF;pz>&*<^gJxN0GFklo
zS&*CBZiN~_;AuTzE*c2Vjzfiark{(+8Ioz8JHA?kyUW3ngAEn>DN{igz7i{Fbf}CE
z;|7TTzAz?o;cEF_;%<iAdrgG4bFd1saPG}RzDmj0=&VQcZQUe_W%dBfuO!Fb<@%>U
z)l%Ly0a$!T0Qm+-M%o3RJl3H;T=t4wI7|<~$zF-gshTw>TO1FYXTb2K{nC)65RK1w
zsR!dR^Y58rT;2vF_<$e3iG|U#(Al<yQ`b@yJ^J2bj%_7XiC30w^=oP`IG3aB5al@B
zKH0CJl<r$6+l1PxHd?xpNpsz8<^2qmEYZmY!0yq?o3onNEDF7t`Y@Lq4X56RPu_*9
zI`MbuIwxlnQovpvbzE@VM55dAWCeWjXfIUD7w7T}8wqjS6hgr$$?2+Epx6&C+0O_r
zl?D!NCJg1Rcb7b75#PyyyavgtA<Ob$qH^Jkvll6N{O<3rj@vi4OF%fY1^dUjjPR^#
z;gt%T7S@v7(;=}s07>i1SXnJLM&*tpbh=7TyuQVAa-6D^nw)N5y{qwDtU~GQCW@D(
z8V9{HL<oyt9U_};Ni0%1wBBHD?X^*%raAjpM2Ud5r!c25Vq;!rhtqpPyMq6n`wBcd
z<R_P+SS7{`0|gs!^}6H}-F2Pk=t$0%-v_RCJ8fp6S_N<_+|oG0tIe|C(+|_3UN8n<
z#Sm8gPGuKXq9|mqlB>%a;}w@t^PZI4_ZOr_bd50Rc&Xz`tVEoMCn!}Ae3>NGarC5D
z&wP<&2@GkOQ3_^9tMa8{C|-Q?JV8}m_=1}M_FlGjd9iWVldPwVov=zj1xgmyG8x$B
zWTA^pJg2>ft{~3kvNuxZ@EFMJYj?id2es=-f^No_w?0&_ou8ibTRSe5R1uc}T`B)x
zH-dDRpm6=;snPvQ>OPqErV{kjUW)z{em?4oeGM*KDM`x~9va#u25Ir@%4qwnoH2%^
zXh1a`YUVfV_ph%ky;@+kdR9$~z)ZWY>l>6@8WX|o*un3nbC(Goc5jAmRgb=p{A&(R
z#cs02;I?ensto1V_ajU&Qs@}dejTR2;`(O7)M7wZ0E8|Nojx32<TeIHrdpxm>w=;e
zdAbwKL!r$tM5PJ!9_wi?ypR_B&iV1U(0db7u<kj1%^|90{YCs?@9S>|u@1@I^w;(&
zU@;qhM~O+}M=Zd3WF)mc*<o8lmel<KuUXtXfb&Ajm8xVW;l<+{Ge>*b<?glzTdW$z
ztsirV>^|B8!PQXB$xCaQq}}F~@l-P?8vMG+Cp6WcnHp*xH1?;Mv)#JrKJqhvSY96h
ze?Wh?J+{;)GY+JYU%@x=e2MM-w<K4v*flU?WH7?)tdyj3vvu!d51l@H3>{@)lr_T?
z?)&I>2K0wIpy+k{-L(>uu_x!`IZsV&x*z!IN0KM}J!;QI8xX$9sU&hj&+mk&l$$TU
z<Gq=6F4>~I$#0ItcfS)W@R0{hfrV{4q((nc2*3ZlB?l47i#bb^%zyvQMaU3=YJWbK
z>2D0i?+t|r)~-RBCV9pmxAXHa|5X0`*H_ky!>Jg#9Nqvhhu=5w^Ft6Hd|_c%8eock
zUE{A0qMS$~oLrui_utz{L;wN*d#s-?^Z$*}3Zld4v!~)|Ke{_lbG~iR*ll%SR?Onh
zp${YUGzEv%c*rb4WWuyRv&kqRRuX!wd-00Nrt$S#MWtcOL0@Sw?$T6uh%^?*HUgGs
zFFx?QQM|bR$rc()`*6#5um55s{#el*7_PFH^uL(w6|R)HJ~9V43qWePg5Pg?vLgc8
zWJM1x-JZ)SyHcQ+w~H-J+?9(Po`MBM*<X`*`UXsF*X5!IOc+Pk(Y8Lha1n)ml5#Qn
zIvDaU@hCw|KZbZN7x!44#2?};(;(MUIvkJIri&RAMu4tGEazv7y7^J{Da5+Jc9}a!
zSwG!Db%W5;52rNXb8EVCE`<o|ZEK>v%j1T$<KAZHD|DM1OM6rPST>?>VcD{63Ma1l
zimKw28f;>YJe$khj<cT>5mO|t&+UoJ`NxXB=jBm+y%}2q>U=llF7^h=(LU11C3@k{
z4gaa_ul{=%5k*QJBx6@<)IQVPx{T?ke3b;AYC7AD;`fW7x#f;|51p;bC7bLoeB$rb
zEP5BXpKL8d+0y^{n>}QO|L<r1AA1L>ciolx{UP1tl0%w^v=aVrx*+I1L(X%#HY-E$
z*ChWj+dtvM_J7J#nVaU;JIudIW)C01D*sYyJqdwD7ogZ$bPJ8Uz=fE!8xc35@$kW;
z^i#%*mf>{!3v9+nqRRP?Z<T`cMu3298YbN0#Z|}>UXt@Nh1c(|R6Pds;+^G@Xjw>Z
z@-Wmr3}v0$!2lp19AK`=U**)RM#CBFwFU~~-=~o%4Ti?CnCJcoPAY_;8gCfTQOtRE
z3#zi0NUNJ(_wfGX(w{_tW>C<fe)YMiH2&_#Gwu&tLDU|S%HrV?075NeEMb&_YEWA1
zmiKu}go4Y=G5{5rlP#&g7tD_jiLgru*r_rxV%(R1BOOW)JKk$>hPXZ3lk##>s_Xb*
z%S#Hu?xD5cNZFrf{vVpLbNK4{_nLasl%mdrk0LNJhGP9%EZG!ebozAFOS$3vNnU?E
zCCCoEgzBBq%Pb8N&pWiMU{X8~_6tgr;={3B_>1iLbML#Ai>!B)W`d`$=tlxac&!$4
zP)a;?Vh8&FgJ}qEh2Ane3Bp;8a3amua+@2!kTd|s0YFr~>y>QqxKI@l95KtOWKoL$
zdn<tp+&T+6zslQ`GMZaDnAooM*;1`h+K+t=ra9xacW89gvbD&_eQt<SF=v3&h`BEh
zxC24hxYm?iqt7WD+N2=6$VcHKE%=Y`45EUmwpp46(qy!rU=6JZ6%de60T)uh6bcM&
zkRK<lj>(rQm3&EMJ?EI22_gzte}GBY0*Eufj}oR00=<Ot8`MHdAr(XUWT<42Fed+y
zY5JW?NFlE=rBS{}{0#+;-g+g}vn;+M_Sm%8$5&5Wa2?wVuKU^+%?g}lA&7P@K4(*!
z`9jy@2_!-t>$fXr;vb7_j{_BYCZg*5G#DwPK;;|^hCsaGkKuw~3qpP*L<4l}EMSb}
zU6zO6m-2j0y?xBH%yLA?h|{F|67>Gf-$Sxc90Rskh&8(;g*E132L&pW^)bK+5m1Ht
z3m%2fr8<&a2n6-lu?8Rh*5%qGM1hd!zyh`=+X?S4aO*G6^Rv})LW%Q!OZeT@bdLDx
zj}UAZ#DF%kmecgB@jet!|CrnM0AO3fcV!!OR099FaS!ao>oBuV8>iD?OiSrOSp-ol
zs3n^-+h`1pssrq#7=^lXywlgH3x}&d`t);WnN=MTr;w|Z^bhksfd9E>k?FH#y7djv
z@v)$vKr+N$CB@USOh5(uKkr|V@M6UVlu@63C~7KrQUW+MAp6tLznad?bbwk)B2pxO
z!B+M>se+n5F*A0#c*qhK>e830YpMo?mQW5`b1gRRxYXHX?k#RRdmNX<(bib*BVjeQ
z9Kvt>eM)u%4lRa?9}1rNz_}fDA&S}q)^kx*fqKMlD^ykUlr~pEmCS~Z4W1z<_w1ST
zd@T7-gO?ySA!eU@iYJ6EeFd3{U1bV3VB;0HU03rA_wEC&9G$Bjw|`Nre_pK{;a_0!
zs1SH^(RG3tjb@k&sPzBU1mBA65I29&$7VkQ+ua2rEg?WTSsU8lVe=5Sokd_NP(!L`
zzezZ2TF2L*j~7l+0!ih=yLYMxWQ6{VjijDJt&qG^`6lStRNoao6MZGH86=2aCgD7@
z8@6r?76A{ST%5_W3j3u&VEiBq<r^PEI`Z}TDHCD@?a=)tZ4q5CKvntWrA8ijT00hN
zOd;tqV&e`DJ}9KI9!&8AN%VW%{>}!%*wMG=Dgo7q!fL|T`kC*elw<6wF82ZZ-Jgg4
z3zUqb49uOqGPrNQ$>M15aJ;_Z%Q>*vBp%ve+u8@xZF13kr=85R@+`Wcgz#w&{=E}Q
z-$xqlyy!2Tf}cC>?_A=(3|ht_(y5LA4wY~p$-;Q()Fu%zDDWIx`Q56WRcEfgqc6@r
zcdL!?^os*8d4(^~dKp!QF0;@T6^*|q1dLVp#oSusgdgDdI}FwI5}7SU>yQxoEjrf8
zjD0y+cKGluV!C`P_igYiq?~3bY+yK!z-GU?D8O!W=E|z*HI;u2J?%x@ht9*wvY5?*
zXwjR4F@Oban9v!HgF59sv8zM{Of^sNRlRD;0E|J9O+3kz7dz0h13YM?eM<XmDXa#{
zY_*mZu6ygOn#GP$-?kP?OnSZ+_9$#n{Nh~vb&^<M^r8AfS^4v-^^(SkB*pPa#s(Oc
z1`R4uE2Sn5X^6qYO>qyp(yuXcpsBHg=0cfQ%HJf8D#dPVWhY_3A^hE7P3d3Xsf3AN
z%u@u0>HAaB3??FiyJ9bVpDFT@?d>@9$k}Du!#k7lMO&#CFfa<!I=CZZKS`7JMcuy{
z;nn~8{fQ20TJ3Ze2=f2;#QFIF7$BgBd?P3D&xQGO%{&5-l0ZaZU&KH5BIJ}89ff3i
z=5(bH$*(K?c`2aCbgSzA`$7QuLzX+Zq5YX{|MlV`AhEWQ)^vjm;_oQp$LFa4SW}~&
z89x~)e_jrpVu3yIzlVas`rk<Xniw$C|2O@9Y^WFie_vCgblA|kw1E1+tJI*E?+|-b
z=na6>Xne&6pjH)M^OyjFvgyV28WU{{06szgab3XM+(Darh%(jf@7?R?-jd4V34w&`
zR-YP#!h?|Gz^)8&O%cQm$p6V-O1$F^j^gL}%ux^>-(jTCd;sy9zYRnqc@Z@fes4MW
ztwt#xsM5)sAwDG#$wG1<AuQ*qq(f#4P_PGWwq8`Um^YoRDAGUWGEp$8sF94xjNj4!
z=Z$zS5{j-Vz)yn{*`>}(><UCFw1vHDibs~RW7O$h+S(#7F8);EoC;y8Ze}MUC*?d}
z;y1}c;yqV!E|rE{<?qVq&q?bkj!Cj|MedshS$DWPpen-{m84dnWgsPzS@)@G#dSvb
z1jR$NsKgY-_zwp4Cr{NwnOhUy>+SX_rFHO&B;CH_U--Nh$U!SrM~A$oy<>#=r-iwJ
zOg*)`Hre!+mz?2aaO!n7{Z$Az>7Nup5dDfU2IWV}rX^JmN#+U|9l0##oyc;7G(%mt
z+;+}@-ZHavR~b6x_`KzY6lW=07a%UvF0s^xJQ7AtZ0*vUkj`9p;}fj%xG<7F6;ToI
z!=6h#^7eS=vFBqW%rV)c2cvz~deB;%1YvdjQ9u82en5W~8mXIJ_yJ32x}I0xkf(O*
zDwE=xiqZ7WJ8yUySSci8xOeyA5FVf_WP6tl9HUfr@exqDD>V(E<?5=P<y@D32z~f3
z`|`aP5f_8AH!A_+N8`a<lo=7+;|@cAJF-wwDQ03)-pu&s!fUM0nRjm_zr5r$0m6X^
zZ0VzwrJ)`&Vztgu+(vjOV+gqT3NsvHpGy#W7kY3RnGW-ki>GQ%jy_l>%14`td++>r
zrRm40NlEDel}ZZ|1s!voI#&A;5a`1YW||;+Is;jFE82^32atCC^c8~C=YD{10IyG~
zwHS^(8q0FKg$G&s-LBBz?QD9k|ERRtlcXNo{K35y9_gp2Jg#$vkg#gpqGAlZ{h66w
zvC|5uT8vL6Zt8Fml3%Bw@xOhTYRfjjjK&qpe_xGLJk<DS1+LPS@Rqc(x}5|H1oU-I
zK5UJ@c0r(mSW1i*=Z22T8_%rk<TGxV!>!xPH`=Vl{-W;v<ERzo!ic=kRXAIC@0tC;
zv!ahujID7G3hG;>_7EdDM%fxJ&hIoG0ymxYRd2r3_Y!w{-Jme)9)e{OUS^q~FrqBW
zYIB?3(?b$%$e8n;L6Jl?H>I}>2C1caOOvFrnrC%lNb6+`KaD064zWb`dULd4yl!b@
z6vu@7Bhu2BrG-7%rN)Bw()AXsv{8iBWFJ!{eg+}G|Kz%X*5}nn&_ey7Rh*S3sa4$E
zTgxx%a{alM@gid{p7>&Ug0eu3m}CPlx$ZYv#y6#0Buy@v+tX{2MUr_&31|dwRlgPF
zcbWtqV1q%cXAxhqDod(=j}+Gx0f*(`D8~nj#P#T$<}KSYG}2j_Iw5H7Ogg-O$V(&f
z%q>BT)8ss&EY!!_E(lmotMBL5m)EcgZpQMt&@OjMsfuZioBLZtwK;M|HCXVq!i|`y
zkxSo{^0DwXA>pu@XBx!hDAp|~O`biH!+ma~^$~nrKJid{&j~EjktjEqc#YI2b6OG&
z;~omQbi@iroO=KeOWVa%1Lg;eGe=e{TF&oK?>JsF(_jT*-mo3}#CdG;+GdAP5I)Dd
zhR<{kuXM`=OLRu`_}^u73oHuR=@iX2&1<V<p;=*P_5i1ZFvtV*(nWL}0AcY{S6j56
zqP5rsYvptFC5w+TR=>wK7;`7gO1Br3m=YFWp?h)Ajc%P}xjz;(dpQ8JPlQ|FzQ!db
zU)9nu+jHakdk39Zl`<WN>jeRQE05bX97Q_LZj>=@KAL-p#-7Akc0@)#cda={=~B$z
z2Q&j$^p6qb74H7M&JWIO8}|fgLNk8iTH^^^Tt)fnWu*dF5zHk?{T`P`?#RvkzR$57
zI*)d0&qzYQ=Mn24m`69n*MrJqO=c=prwDHkFrnXMdbP=ToRZGBIV0}2vG*9Sz&Rzl
zf@aO<PVq#X>~ash{qLW}YVdUWc-GmQtWEAyb;a`+ESzUbzt*>7+b7vb9yvrZL|II|
z7_XR$l4Eh1Y||XTs;OV<G^gFUHlyj$<&++LXnqVQ#l~{!E7yD1{6?*H;#4y70qWX?
zJX8AdveH&Ea_&=3XUG)rEJ&uicT*nbT?wraET1B(aZeqp!McN%g!Xx+@sB5hkEKMI
zyMi>B-lXg|pXQM+>ojcU3cC+KXPt15sWEzIT6i(kRu5aT_R-1ODORPzPK9s5nY8P^
zf}tL6fb}7fp_Tru#mc$dcv*-e2-AFYl!upE>^ZezG>ZMMJc)t3y}(8%7w%2=C^EDA
zp>j3H@|GxDTARE!6R)bqEXnt&)5$c^7QM%R!^v81fOE>`Wbdhf#h@IlkO-*Jx7z7f
zaXS`N-u5;>CUWZ;>lfkGKCCKpt)u+3g>O;zB7CQ;mLhh2j&#;N_k0ZF!oAs_JwDgT
zsHJ0yMWkfa-u3wFItBBO>Gf*_zkkGB54@~py=5kDP4>*}<~`GkWzVtiGfiApjHSDH
zOm5pw;GwCQoZq2<vejGr_O8fhs3s2W*6dvs2J>yuV@^2s8C4qA(5s=u)BQM%n)HQ+
zP349zzFbzRf$$NYbH1wSwzQo5xWT}=XAxekA%|D1ra30nv|25H-N0Y7sb67CV?MgC
zX{zsO(UQByzUkzAXrdmaDhDrhx9!s<PFCE$DV$rpAtl3c@~hwXHbw{JDT*-%9p~V}
zTo1#jb@9!47KDenxrBL!>+v=i$}%?b1_q!h|L1JgOTa7zHJbYbU6YfOWt=Vv%!gM)
zca%%^m#O8I{J!tJS(AYt#h*ViEP_t;X1e5w<6ghrO7e$;tV0s!?PcS@c?p-CkQIs@
z3P;qsrdC#T*za}w<GEJP6NuKyea~JvI@^^s;LJ5#IhHPCm*t`4I}|=|_0LNnH@I7b
z>D{e?p?TfD6o0I+m~1R9T-QZEo9!R>g8akF7+Dh%CPo_H$j0V{DDL8(`}6UB&f;Zq
zPaUd=+QMEDVf5_elY<R>tXj3F{@PXkc<T;6qG=1MsAOyEYKp1SCuRPHij=D5p1<~=
z-~V!~AG@{O^u5Is+ht5g<*<UeVzV-p8O?Gg(vW{XG(6TOcA?*3y4euxsI06IJElNo
z&&%EQ^?VEI&!*JIMm*qH@UQzAruQ^9xodjgw1+UM&As~(UG>h&7eykw9Np6w^+X$P
z^=$Cvv=#m9hv1p1J%Ykx=r7--lakYp(l#iJ$kWCuJv)}Y^0J1ph9#&J&&5pn!m&R`
z^2dv+_QtN0rcGoaaLOubR___@SHq|%DCmic^eqtWD>BV8`tQ)7@ICoRUzFuH`&SpI
zbm|B>kd2LuXy2)2+`O3TKEUHs`3BGBYL6xBe}+n()RV9yq^DKO$0DemVCdPbj?TNv
zQ*)S(E-w2}skM8z6dNhRt6gs)%S)*K-zQw4;h2xJFf^DCYn}_AqNy-u-=B*+mb|#K
zQsuT^tUwfWH~A|udcknH!^^T|Cj~=F_xQ=jAu%Lo|9xn3oI1I*s8FHni@Y+jvQLD>
z9Sc0!j>!oM2)xO5KXPZElaEwNE1!!VN*t0fc=7KclF|#nq<P!h8g))>iTBY-J64}8
zfdrb0&AazJnx?6!sN!N{2{^oklKAAYB1!OEmZAb1Sac6g|M!W^s5_aAE`^!Mis8Kb
zP)kna{(aZ_UN|)_I=%DeY}fwIN|pNod3_dD(MX|DRNYd|93O>B?f>yTpK0(HSaw>~
z@p?i$%6dy4Rbdjx9cFE^8|Gl1b8rJF)xzhTxn9fEukwVYy(L-^9wLIR>!)%GmXsTQ
zPwJmb<<dpZB+QAo)30u~^KkK@+nwB&^=OiKiUT+-lDwObhKht7EM8uNqVU(Y^Wg)7
zgA)-?f^|-E@&>4!6O$DViY(~sjxHYjKW=dY^Xn2}*L}xDeqL6(>O9>+;7Na59j~>2
z`vJ{nxz^`QN=izm&yIwfFwP-cb(-dB%aXo!GvILjYdNd4dnRhQ%(v)2s_N2{iwsXl
zNT{r=9G$1dkb61hiKBsTxfCHlbkn16j7s&)zqT%9++^Ii8L~CWwYJZrC)aZ9MBkpo
zXcf$FU|?X-{owl1b4}Bq|Czuuk;2@2ctrOU3-8(gAG7B)c9?d!Ieqn`r~rYa#fTe^
zsw%epX55|P9Bk{Q(cAq=Nl9mBX6ghi6g>>zU;R8Cq#~)7fBWwc;jdSnE9CiBuYo_|
zLmF+h$xNf$kb}q>QjO&dxlL$6xKsO@bKte&rE^eP(`V_Gdb9p_q|OsP|H5?z-R>-A
zWai4@p~!r>vTOwILyO>e>_bSSz{v8w@avGRe9>~bdfU`Itp9$43bwz@eaz6;1;mz*
zk{99E^0K9sRSp-cTQ+qybGtGBzh8e)HRYw%3yi2s8|3yE<Iv!j^i2ivY%#qj{~uMv
BCprKC

literal 59420
zcmeFZbySqw8#X*MgfxhRfRxgy(kL(}-90d*BHi6(3xcSGgml+{Fmwqh0@B@~NQ2VN
zx5pED&ToC+THhb<TJIl+vvlU*6Z_fEz3;fL>)y{a)Z~c?XbB(?2(hAqj1~lf1HQs~
z@L=Er&Zq<hA5b?f`CE{pu1ibce;!)sD_W|mLb$+pJO~by9D;>81pEhq(*8UdbBYp_
z?(gqfP>w&30oQzD1Ht}zJOqLSpO_yr@CS3wAD>t$&|g<ff&Fzf4kQKZukWxPa5N-H
zM%o{I;5#cAxIrK!Eto&hXl@cZFm8yVjI@q7bafIxk>bPTnM)P_omj)J`Rl<PvB8&_
z@XkL?dzCUrS^MB)%a>;#7pE5#1>;*TnP{2|KD%G>nB)Harv!H?#IP^pakRQ}@$m30
zxSloCNb%edxKUbHDp1-lknHn=HXrjdC9%HllviEd_wtH-#Oxyo438=J*I)2zLY<xI
z_gLphR!2*%rt1UFg_(vX?&RqlZ|bEH&HK42T>0&2%y}AYA>Vu6iQ-DoKGfq49L&*7
z_gotr%+uX6a9etx*Hu!wp9vXhnrx5e&iBlmta<y{)j#RY-GAH^TqcTZhW-w^td3FA
zUmw4Y0y4}S7)|>+h8(gnQeu9zyOyU($+_;ap@+(!bjZs<PpxsG1t{PUC^p$|e>HN?
z5cBe`xlUw}Q(=wQ-0xXkUG?2r_F2JKlqU)n>h#(A)_JtIfzrwh<<i<-ftj)Dgc14{
z$~ho!@JM|Xw7>j6j|QbSN8V~hHce6PAs1K3pODb!nbi5dW>XcEs&2UueF?HLS%c_B
zk!WnM5C`+(mXi(B;TjI|;qv`Zx%a<U3yHki|ENAs#-@(v5UrpOEjAg;yjZDMh@55T
zVunoB`FWX`B&nsR81$lG#(P>>eZC0UT}L6`e&(7cbw!eYz9|T-7l&fPm(W{;*P$0x
zS95jbu9<_d<3y#}Tk$E{C=z<=p%GM?schAU+YR#5Jd5a5Gx~Jr;mam_McPR53{T<n
zzs($GA~~{yA0_%CB-V}bKjir$dh#FMH=#R4yBV0#T_-s<z0z2{;nn<@n9ISuf%!_K
ztmcLYe{@O4TN4|nTQ(;D^FFoVKO7Wlb1&8D6tb>L+`}G8n#{k>i!A#-MT)tW=d_c;
zwjEZ3Fy681u_49!SjVIHLu?jE?fTK~pns3-sca*iB@+1~i||$*wAj|`QFM9nK#Zs3
zRBhFby$Wb?l6QtsGVdWex0}E>x~Im(lf;Y7X;7&qWth^Lohjs(b^rVZw}(;LBQtW#
z2xWN-z5F;$A2hC0wCf-@2wW+btF5lk69=PjcOU7d*qul1Nw6I9UTe{%@nX9X?)6&m
z-><-eyjWj^WzIv0V>-<!_6xBxWuGl-ijtChpwO_QXwXd%GF9c4?WvQm*ZHAws&Y8f
zc(CX^Uu(kC`eDOY|8uoWf`<>|s7|=F`7?L46zmcR%+O1BXTVzIm_bX=IANJl&sUpA
zed*MBP?q0fDcjCpay9OMCSDPK%|XE@>~^#hejRr(`a0jmausR_^_m{M0O3;Rx2;<8
zuHDC!>)WKx*xT_0&p4LfR}jVyp2h}?d?zARyX{KR=X=E{%xCab+W8p?zg>MB?(?o0
z!n$%bx5gX}_ylfV@~Tnz-FaZ9m#j4SQ8Kf1&R~{Go&6_-Sh>x{6dvM^lb)WQCZyJB
zT5@ej67k9Jd1f84ZiMh8ymalIiqo~ee?LYGqVbldY|50TK6ND59e&wLDoVqg{9;5W
z2kr1+^Gl;`JK5+Za%KnJ`nPh=B8~rN=|*Zm31x4~-J7H_X0gNfLo|YOEh2Cmm3+Lo
z9a?KtxKs8NvP(8=|Lx5pt)U<Crcw=@7W1@gRFydv#vvmg${dsFXOKpBp%t;%|F!@{
zDraZ`ITev1R@oAHj3-X$I&}AACu>Z<cS(NNparXs{J)%3$}Q~L5Zh1U`b82{&B(Si
z&YrPy9>2X9ZDtE(Z)9E3Mf`vGG;lVTOe0K}y83ZTVR^2XvOgVUyc}s%yV7vqq$4-7
z%USE+$EV>{J{?R$5<ccFOt(ilP~kN0y4KVsczzX;-RJ-J_;Wc@BFkIaI;J!#I3Rk=
zel}0)jGW4HjU8YA&!cj3r1a=Q3+zUEXUau0(7}irr8ls(-Kr~!|6>FcP$!+0%XfrM
z$2oh79<GrnwOX_P`_3j%>cMK!;oU$wNDcW^^Zx`EGL4W((Y<kqXv#_I=)dh_|2z|9
zH(iG2pU)oBNJs`bcS_#(&$s}AO2M!j1EV+|{L>YXc|&0{ji$H6|K;~*<bxq2FUT$a
zwK8D*aLA>7WrcJ9`u#B;8RSSajp&~b2%o{h3&sk<U;5`ggM%5NFf%EoDCvLN1zs%#
z>O8~GO#d&h{QU|XvMT@V`oAV1gqjILa?F~6^{?LtV&es$aA@NGa{`#YgXa%vc<BDm
zd%_!EK%m8ptnL4Lf7m9$5Yg|kktF~6{eP4G-=zO%>HoQx|J=)eKK&oT?!Q3#Um*Q2
zd-*SA{4ZtvFHirkIQqSU`>!JXuOj^q2Kc`odw~x&?gaz511?MGf3h?Dnq6IwI}d@9
zwEX-=E1~r6htOElz$)|Bh=t^!K<`;<6Yo32MaIU}?qahKFDwtE7)^pN{f0!{y}$&C
z=nPLM`$Q4)>;ik&+Z)5<<A7~h9k1Akw<}s2$bCKUG*S5@&MHZ>8o>XVxQ$;vhWjn&
zX6tyjM{%mg3yPg=_ZO1;A$U%P8%}q6Qg4sh_ojW=>XtG^b4g{@-pcp|k>91B;qMq(
z6D1E(A=9t-KX^_f(Bya6#-2RkF>DO*`u?H^=SY#zaLAKbqBfdqcUvCfU)bE*iVm6%
z*h4!_n}if`Z!Jijjiyc84(6R44mYqJdR%Au<;B|p>SYvo+ZN7r0Y{J|@%3wSiHb<w
zB?V~lx0`3+L>HCG8n2*@y1lY0zdc7{daw0~QBQ}_cNX71$Hkm>dDWLz?pq|#It)Fx
zR^E#ERX70{9=oxm%7p?(!|n{`ob=*VxX9wzTK(D>+D$vf7*cR&oZR?ZcQPt<lHAMY
za+%3&O$<eY(J3XuNE)&#sPGG%YGG^S>iP3hJt@);h6)W)NOZez;O?l^jr-SCLp<eQ
z{^pdK+F;Ki>@<n}%w%REoe3gArw0qm!E(M&NEz3Cwe<C^mlUovBKr>7xl!)(b<Z9V
zQuFB-H@bG+-1;2DYv{XI?f!y6!YKZCe6$3g4AT1TqbA<Hw8ol^db>%<FV6+uy?b{l
z1ZEz~cg^MQ4`r+m1YWlZ79~w%(;=c?`R?*^7tV}Q{?1OoeE@jZk=|N@cQ2-Kd#S&$
znYo*9tjy;1e2vUAKEJ*7x`S^C$`clGQfCL<w|BW1%IDwR+8mYn1?n;3Lf4@Y(D2)2
zpERJn{uUC$eHg;ai-2!^vcz0oS~{eI{Wm%Uu7rOTmZ%l`;3HFHAFN{1bNrn}haSqL
zu$5LdQS`@sLcZc})e!xJYQ;*Y>H191FPk0wFWj4pBaAB?C&!%{jBQze=ipLQz#Fxg
zOS=lA;Z4DBLzo8a7<)~!J`$PsFKvPB_p3|oT!7e>a8FLtDY^k_@ula>7r)uVXK?nl
zeitTK97j*7mHNtVypY}Y{xp|v-r{=&zui?AD&MatWqHL3ujv5I-FJk)AkGjOJZDnp
z%R0FiLdqxs0r^<fSkieWxYIvL!mqrd!Zh%}A~3LC<jL=Z3+LrVJm*j&y!a4!9-%ey
zf|%Pk>&K<HOzrGC<AtK%Tr+=Mu_PaH$!94uHt_fhqn|)?KY#7_`}7R;%3|Ujb$e5W
zb9~o-twOS=1^_d)6ep2kD#b3V-FiSOnX^As4Q9RdaA$>IzZjlxV$k*U{1rC!q=Icb
zRGsIjMeJZcf}bFA=p~8IS5$>_E-BS66<heP83|SgNO7_T#cig3oQNCim3+q4JSMdx
zOpet{SxV7d62M24=X&oC89JSOeXYK^xhbf33~biOty4(zQ<iE1l?8vzuXRkO@DL!(
zKPPFM;-av<e!gDeyVBApL^OT5+S%Y`>AFQ1=Es`&+5qxaKAd)^<$^kgd`*|wLL#`9
z+<j}nw#_Xl_z@Bkg11j=!+-D_^xVP*pz#DcdFIGxuxb84gKnv#)lzxJfPubH%X7rE
z8QWD0N%`0ANVHh*txtMQ`7C^SAyp(>TA=c&CJPQ+=?#{Chrr_>t-jxi$60>2P$RG;
zzBDPYVwOaKLFszc0)qr@TeXDe>PUNZSWMJ#Km)b0dvB%7mnf5Z|Ei>m1$S8`HxT*v
zY+6KL#jlG*l!f{K?wP5c?w_;%Eab`r!^@~>%usy2-f$K;+}fKiZzoqaUc1@Oz0jFZ
zaj%Vh-kNFeF`Z)%+-2WvBb1VRg84U}NTv`0>4vIB2v|uo1z-b;dGMWu@=Ev2`v<oH
z7wIwyT)_C`iC;Tsc9bZr;QSY^m!_JIq-u=vzW4ury^-!vx!~7oUHIqmvV#3=HA^i!
z-Q7@G5~TFvI?57H&gCQdk;-=_T|0OK4!1Q+$ZKwREDwCYa|iLtFPI+Z7fBQ%N}$uH
zEdeIcuy8*!m5#V=(fEOY@6racZsnfRV&+2v!^;u8DO}iO3Kk)NOB|`IM|QOzH8do7
z=*;yLt#p7zLLuPiv^_{lCc)B1Am}(TVwiBFog69G;fSS26HPSQ!S);4!!~nEhjm-)
z+idd_4A**&lwlzGo$v5;nJ?OLGXA`oq!=IpRU7N+3Hi@U9O@o?hnmQif{=!f;<_pS
zzP$U@Z0oDvco;Yf#$~bGmi+A&z_8#*;8C*&=Q9L;voegwe+dlYN?YV_jsr8Jk$S*+
z*m#I7{hNeg0Su4A^{@Y;`7)xxQa~E3iT^eb%w@<F!6JS|^t)wa?rFmcha~F7zV7-J
za(;f3AqR2(zoGvhpLMd*#+P%5&rc8oAy5ZTSr-?Rzm_ypGftkR_t_G#9*)QEcrisf
zxvx4DM`hp%Z{H;e68#k-K4AkhP^oO+J|FTFHhU!}G%z}D?pm>I!_>tQ-#2re5#BT-
zzr0Q)1von6sv9}BmR4h$sb2*y5`sBAEU?+I$b<|l`>R#B9P?kCAty614)WL#Ii^T|
zDB%?k6IK#N$pWuO5x%-bMrDG*<ZVu`&IFK)cAe!h`J+RY<J+c`tiJ-sb-*=>x)ljY
z$TI0PHYwB@vgA%uom87$-wuu%Ef>xo_083k4e|T&*+Ds5MZgB{?_~nF#jKE_ofIKF
z7K27Qtd#-2=Q{NcY*iAONnNxBcVmhn`sZsL@=h{`;D5~n91`-Ja^{)>jo;FeC`=xQ
zLY(XQz|oD3TJs+neVj$+ygGJ+mcyqMP6C~`|IR9MoWXPuG++xtLI|je&9pW)>W_-z
z?<P=AurX#=c;<B$ok)_T{WdT;K*CyW&u4GpJ$zWhoWQw$p>Hg*lfvodZx>al2P<&1
zQ|!v$&-2qU!f^nXihzh`|CZEX2J-*^aNwTn#jJi^h9jXd-l3}Mz|LJodUkisFYJ_(
zg6iJjXDv0)Li-c#%lVd`3AkcnJL4Rkn9PDhGZ<1SL-kvP=Q1(t{U{siA*C-=+LFbA
zt5-iYY|kAUzH?|6-854mOg!dpHx;fhqT&r0e-z+V5f6Ul8}JW=*0qRK)M-@~N5R@q
zZH;hPt6!<$NdCjS=JOOU@Tp~+#s)$N9<S+NzLPBvgJLIw3#9*+9BRCW2~Vxunoc~F
z)s7cRw0oU+o7O7Mw>x)Zmxzbt0VNi{`^#byEBFZXB^)dYykLQ2Eco7EW)`Az{!Nu@
zR>GRUZ%qi+IH@~tX|djh<~p>T1M#Eyl(VpjAVW8G%5BR{h#%>J{JfgS3YJ408?bB}
zMB?e+N+wSBl-!Ol3*i-(oSqUD9X>JTOhatKPejDOGMLec>~{I<;T4YY;Fe$YHan7T
z$47;Ns^}9LFdw3-9`_4>S)qa^^ih@*Ph8GNn<kKP(PilN<U{XNR7am>adYWCI?NuU
zfY{-pmj^~rYN=zEMTw~?V>ilI8!VMB2g7NBfn>jz%^>_MF2FT#K6cYtX%;1H6+i|*
z+INhy>gH=&gzqgUH_cqD<E!8t$}`%^nPhSk>u#C_KAs1R$IO@?8TMBw&Ug_V7TCH?
zYp%|_IfZ*EHqe&C+v9Y(oOq0DZm<!>Kv9sRA4gC+Y3*jDCc_G@fEUspV$B-<%eWK-
zpkaX?9YtY*(do0Jm0oW0vm~;$c}CKxrq$%#22J+C{o>A=h@+((GAOndCR2<?kvROl
z#QL-wWgA3DDix)3*Y^YN4K)i>i%Zk<C7mx^8mg*p)$dPz7INXM3K}n?60Dj~Q>OSQ
ze~&#O_@g=Rki<qy+F%l8lr8cd?^0q<(J}>!KPjiwkf^|ovrusuUxG9GN-#+G!Q2hZ
zr(FAc?&1kKCeT%_!dsyH%h>Uezw`civ_L)0IfnEtzOhP;JI;NyjnBy7DR+TIaStVz
z{vAi-Sk1bR24Ono%Y)A|NE^9ulPbN_CP@o2vxRu<yXD#oI^a&{Kk0y}R;k<Eru+NV
zR|oq|p%_#%UazRlpvQ+;>L^<|7SS;jQXHc43D5NXxerd}o&!-~9(d4Pncu35rw@X0
zjUC>VG^y!klL@Bgo5(tqs5x9KmLL-qkwR>xr872xsGxuaO~OjVrGClxXQ+k~;1}qZ
z-2M2R##Y1AbN65&c_Z5*=xBVp8mJU&yf#1{{U{bw03txyb6g*AL_%|&r52u%=rCR`
zaq#suC;@V{GTR+0CaH4u`!;!JfKjqZ)tHIeSdmJ-Od>5vL4<3*rifcf?rbOF$7u92
z!okqTjFiOxO7+^PG*XT}3v?3!ZR1Gsot>58ihh()l~$aRi0!~9b;$7tYE%6KP+3m-
zZ*^uT`PwRofYMnY=+xh0nZkk~Sj1sW(58=t{tW@N__7Jz#-Kxm?JJySW(n2JED1(^
zX;l0@Xfe)$q9bnhZAi#H0x}4@c7ofV@d<v2S72DNF4Az&3GzIKfNf3UvLv@IF-)Eh
zWQ-*A;`iPbAP0vTk!QyXQiaE$SP`;L#7k*@LMjF73)Z2DDz}C2ku@!^=0BGu*i+gr
zpO>NaDr{`)o{HdDN2ef&wFzmkcjqGIn0RsgPmI($lKMISiq0uFVW0-o?axwmaNRsT
zIbv6NbJb__E2xQvij2qe1}p7yckE&|F{SQEV+a;Va5J_`yCrMvN3VMoJdWa(up24}
zrxU3@hGOAbe;;*_Q?#bqo<2L>BPV=LE5s!RExxNP1n<q7(q8VZvHko8B$_Fd5MWv4
z(Vt`>A!R@#q?VwpDF0^>#FPueq|zDUpqRwW^TFo4_#SxWLj?x?pgOjDk__38Mwn=R
zFW9U;+5<pM36>Nv0Z{)V$Bv4a@75Wqg;DVuiGR32b@FYXyZ1XPfso!XVPz<1JXP~a
zR;zHKZryHI6a7j#$}kD>ka0`dyw{VxIDVn;+VIB^kfhFmB$YET#G2vHpqG)>7(ssn
z%!S|FGj`kk?I>+EpM|$x4F2EW;}X*zZ)Z!r75B(PR}Mh*_ZI7qH#_w7uas~F{rEtA
zwrV96=J$lsc-py{m{l*IFX|2Bw2GlwmEqQU-q8Kok>!oayzZGV=MX5ZN&2b1H|D}r
z_WtYrR(tdl3)eg1i{rX&lVE1bv1r_O;21POQvJX+^KXq-Mksh4=hiE~M979wq3wp(
z0Ti%5wO23VzSslIh>D5|%$fF=#-X0&!G`euri3D!wxIoHM*IB=gHp@*8z=duCrW#i
zcJu{_iHUyeRju@!pqd={ybySDXoKdBov!w<i;YOiF{;{>r8cIhQ@OP_HgK1?WSNJG
zsMWdpqX#YNim1x_S}N4xWhb9ZrRWz<?*4W0JMmUR!|BgWjJK7DJjR%(zFi{}x0C}V
zHyN1NkV+Ln@<08Imcq=BRz}2jK5iiry?lDK!6+4Y{338WU7-7BfBc)+SS$QO7=3PU
zs2`)>>NVBmau|EE|E4m3-S$S%*|_k|&5ZXC&efQ+t0h`v)|^v4w;8^Kvf}wl5dkTw
zX<;;9tlskGx>hw3Z5vvB`}&2F+@}>O#Z38@G2f)}Pv68gw2!|P@feND@_3POI)B5l
zcJJNmppkOvaT4MiI=M#kJ+tW@FQU=Zwn-$KTW@fT^~Bq+kck3k*=T&7_W7T_os!4-
z10`Z0AEBNvLQO$|qlP42S+ChRT}*!wc+g>L+pi9(_1Z9bgf5~(N_1rIT+Qg<Z#Zry
zm2wyJq;jwo;)z9NmJ5DcZRhwgW{0YJHRZ3&-AK|lpkeC@o0&Kk5=VCi@hxm3wuZV1
zmp=5VDpNubg<5E}9dTM3lF^l*t%UL5aSlnu10Sa1AaSM3{|uawX|VAMC-ojId#$qO
zxXA+W!;PxlY$D_b9#XHQ@42;)^~jLUF?M5~^j4fzS0W88H)Z?mq~WZ>ZK2Ebc#fL6
zrY!dyY{lY0$acVcZ_=x|;~p{s%wGpmKmTSg%C^`r$l-Z)inCwVwLVkqUwQJ+d@!mJ
z;G6&y5rxgj9Aw$nf!et0^l-%kt9X5Ktv9{Z!0N39@8mm+FxE7c5Iv}><<ONVHSwj4
z4`I}HYt}bpT+ps%wJ{DKcZ)2_+__yd%th=+z5^#MGnVkwKaBkgo#FD(w53PF+n%zH
zXPu!`Kagc54`oX)^inSa&ys?X8J-aI1!6oM$cp#3`_%{UbNrCQsd&-fYB;l2F&(&=
z`lJ@kAnCuqf@<&#ld?M=+Lb*1-dt@sV%XPb{_%OQZTIa^Q{`B`L4v**)B=PXqKE8H
z0B9X!V2TKPJAq-IzCc;sqq-&VQm?l`iyvDJ2CpIwd@IT-B(7!H=@t6)2PaI15DN3`
zn+=|G6eyROprbJq5G8<Olk<Ya&HB!=Jd+O$XS~A7!is&vKM@~_9U&&yyHR9Z6Zwe)
zT4*|dYhsap_>~TGzLtScg-Y4_Qr*swp#$?`wa1F>)q|a3)8Sh^(<kd*L3=gRvZ$MI
zKi=}sc?R2bTzt@Cw$O#Oc02u=RJ{tlx0CT+<NC$3{lv1SvLB8^{jQih;-3S_+AWYa
zTxeIG$74~4bNfdewMscwE@f#k-iWIe&io!Xb?}YztrZDlQd4J!O)j5VFG}uAt1h*S
zpA{!dJ^8c|i*(VaX-Iq{paGz?rp0FO4V~&JGiMi){MHwH)0KIg2Xzq!_w?sXYRs!z
zjPcvu?RfG7m1DPL{76>==Dsv6+B7=Qm90#dH#lNR9z8q{9CQEm-uZ&K=JRl-H88gR
zQ}X`zD(Ce#N3H0FP{V%1>yrYR-SdkJ+cy2H*032@4$H$-nFg98{EOG_K74Geyjq_&
zWawD+!E-Y3XzgXFf&1a{R(H*!NJcrx7i=s;YOaaiLpj(^qRF?Sa}P#ddS+^$p58u+
zUEm$Bwd+?uJkvR`9WD;=fz4FPFD=QanvyB7hot#jsU?Fm5o1eo1^Q;xWlMW4!eE?y
z@a=>-YL3*-{^RjH);hrp@>i-om#Kh+-eFuX>}IU~2+YjMyWmnZqp<ymdf?`TNwZ5f
z*2Ci{Ks0!ZXp0rHL-Kv5KVRchYW;zB*bq*))?uI1jy*}_OAX)dhXBnd+!g!cPY??~
zqcOp$K3D!m-ckVQwdl)K-j-Z^T*RrJwa6UlHQ^$Ea=3GwV5MU}2q2;CiO%<zZ2;Uf
zVa1t$I>?P!&hSMb^Lrl)26qme@4<O@F3=WA$NNy*wpp)0{|A7Ky;etlfN3J-KL*~x
z`i(*|cR+QMl=tj>+p{o8uanWm{(@J4Ls)q)TOBZbn0a<*M`cDeL0HIcXf-X2uP>z}
z2}#j64{`vN1YuRsaN%_ZSOskWUq-^pbFDBb#-QUcK$>^npOYn&<Sg@yi`idu3L4K+
zrAuzOyG`f_0zI=3i?#NOl%2n>oiz8Ir8nvWm-8Pnc$K+L_gZ|^Q4cGKkt^}&?)^|<
zo<C8efX+0}f07Q~$p>I0+Q+co+J|`7?V}(#97X0)%DS%%t-Vs_a|udc{FV<QWbQ~w
zD+8SbMDGzut8y(1a=&*6ow^ks7!)FfoKAc-GHm;m;{fWJ?Wgm&LdB<#k(%@jNvsqU
zG?247@Ui3?p-Q5t%lbssRI?CYD!+VD)wg)i#9?syF`UlfME9h`&=ztNG<JZTMd{q~
zN;I2ld}83?(o{R8^4Sh5XfWmVb)kujr6}5{O)93hc+j+InH=0YHJsOnqeX+!g;#)d
zf8Z=BG!UI@Oe(pba=Lfi`ywy{YT`7IH?r>(bd<1i1j3!rg2A-U(jX=>qi)xVZ2Q_d
zTSWDcGIrJvk;Yt5zxe~Kx?Zh8TR4EyucKwE0*QGI-pQyN_jNO#^z@`ZKHEw@TjYoy
z?tfFe!*aRM+qJV?Xnc?A>%cIwM|NqXt1n-7W0w92H3LuLyVXMe&3aMiMR@+|(1NEJ
z0=@KPZMiVtJbx(S9Z0AL*r3inEMin46x1{7nG_9hL4IZ!(n*_ijR@sCRqJzj{S@TP
zWyXhwE#%C-_WL2eV=a3PX93|qY-1U$e}Dj4?bjHUF7-_CjlKNR#`8+~h9d$(skb8C
zXr-mnF3B3Xuk7&ZS1faUDYH@JQb-W{pW!-eSD?BUB@vnocjjobG}G}fuq~?V&tuqz
zwebo>%F6EPL3dF3B7(8k^z3k0ra_I(1wU=NWfZr}GGHfnWD`AX;&x`Yx706xrR4BT
z^Q_r+7-Z9fXyCi1{Wj|2J5%W%Ob*}i9YL88DD8mMLD$i-DE})6I?p#RrIQ!(#7u#L
z1f*AGDP@7N2H1fBCihqy+d0{r9yV~Fp>wKr0i40oHD$dv#<P8SiT9$tTk^FlQijzn
zd{OZ}Gc%{n@+8A~dMoGH!?jxc7Qd(F=|-G#9?dS3imY)Req{cJsHLTG!x9BG=qsQq
zPrPK+MSd{^@Q+pHNbA&2g^+fDhfg5mry6v&7i87cBJ$-Eit+$be+nKrc099Ktk3J9
zNF^6vw)SXm&Fw>!p4xOD1JhFbYlZv4ry6dI_<MJrZddiqya@lS-z+Gy30M+s<OLof
z_x>t3tBz?9jUD;R%GlKT_yR|>PHTTMf(-J&UPbTX)^SNpSa&6g0T{f`%Oq6H*b7Wv
zwp04*nPb3YE~*YVL%?a4eJI)vSOhI$LOZuh<0+ZX_FJVQ$|9pTCsCAxSN(SFy$B@4
z+A@uA5h~dQ4+~RHbESG@@Iv&g3nBW`Sxejk^DADFSv*Ul%2LO(q=T+PDp&)w*F1Gu
zFW<q+i-#4qcL-EgFXqcuf7#pK#d2F-&?(XxO*5TD9-oHpQ3cgiCi3#DH@ExPlF0um
zwK5aofWBo6+`ofU0!)&2fj)^>NTXK)b@$bGliXVsBubx5RP}ehJ-;OO?igC^by})h
zbO~mLa@*`5HVvv<U+E{V_N+lU9($TguDem%SiV0#*jn2d_-<*3VLcBHn}<)<^6L;r
zE;vx<N-Z(Br-2>#Z`7VN94_YvflP39wywyO)_w5IH(f4#v+G08TIHcw&_^1p#U~B*
zM7noQu)PnLvUe5>0PUo=m3SLABkr-hsLWRfhzkpm!{x}r5By%2V|zsGV)PVN8E7X`
zZ$CNxU>aQgfysURQ79)x&}vDmyGgigP}TyD`&ynnE2n(THsv@DwUKk5B70T*m!wZc
zx@F&W9RrJ|C~IP}PtoJUk|JjY#IRx1AiM#-wP!zg<z>5e>Wv}Va_cX*=F4m}isY)r
zLEi|RfS{Pboxp@5KI$g)BrdH%YI8F}Qur!2cgLw?F;!)*^-EavS0Ta8IK3kMJJUb>
z!Z_p)rY`j<Qd#$;gh(Q3y-T)|0(M7>pqQD%9*JgoDGrlq$aUk@N@czMgru{p%agZP
z{5-98z<e~K%)M0P&;w_?L$>2Kha6hk_(KjCs_u|8H5seg0>N#$#D^bXA?&fN!wW6c
zoO`V<IZDsKIa@Ck@b#s<;N`-*$mY4T(~UD8Q)m^v^`1t~d-0d^BVS)K9?zURRJ0Hi
zN3)V|JC=r_NrnK{NNde&MN}ZiwK!R6-u(Ffj?44F!K=h<<IRz-%N2@bID;TTdPH~?
zW;7ccjH^={oFJb!Yq~MbhphQTOU<d#YkJj@psa%KP|w7UdemzxoK{GDA<?bYug+#~
zAxxxHW$F8@=?$ZUwHxjn+PV}GsNly2l4r+mgSq?~j{%d-Rnef$J8j{60qL>^Si$XY
zmD^2^2zR11#|L=t^BR`B*VN)q_AX4a7^{I5=nBi4o+YqG_dIay7?vR|T<xjxa@yF4
zP&gT+E~pNZeoz#DU|%t_{7fFu#D=+H!gd~VBC3kfcGd5aL{lEdl)rOZk~ER+>Xz6`
zWRtS1e`W!)5)JNKc9-<Ow8f-L&j1e5*51I2lUu&`ou#y0qCsgoAO`PQfC-aE4b>yd
zTwdPoaO|vUttHXBkF-9IiqAe&cM`cOZIy}yxDE~|j&v#s%2F@m2wqyy;}zeVNQ-7!
z%ltkVP89T-`q0#{2|-$iNAqBCc#Z008KUYxIM>H4Z)*`%Ss?l@J;kieD*2I)V?z7z
zl&^toX_vR|)1O5B!r-d>N!99DO5;eTvWj(-9Dl%d%Js(-JpuK6@=)hb2mxfL(4p)6
zx<2_S&eOmXLkk_nNA<|b;(-yN78$!LAflM$)4tuxN1vpTSRgjoj!4Nrt1%8a+Gv>0
z<V|%N-Bz{x6kB*0s>ko7Sok<IRzzMPd1vz*3!j6ulaZw~d)mv%c<Pg^AqaY^ibnK&
z)4((MG6v%8LZ`4&UP+nv0eXsDw+e^xp&D2W)vkMbjc>ec)JGfX^OK}hxs6Xgpd#x)
z^7EEgi~N=8P^Y?O_YkqMc%JdmZhpN1Ri?wyt}kuzCVKDloW+w4B=7u}%PB%O1xb-s
z)Kw^DqqLTO8<%*H{DJ&ACYL6f*^iQR+|_{j!2TnTM%E%idEeIJ-J5R8CAdT?Z*RKW
zOEuL%_mFpT4ZU`R)A{F-bxm7X@#g(W4);sw$kble=QvPpk5!i8G;{U|#{&r2g?ffz
zrt-Dcokr~Ki*iSn#@$bxZ+k935E1RY=w!QV+blx7GLA~No3)wFm^7&flevyFAtR&e
zyUiE#MG}ehN2jDLhP<xT(oRw7MR`cSx1BJ}eReyaj3Yl7r%rr1ob|#^pkwSAZ5W@O
z!w+7m;(*@7g*fi8p+WY;a1<|^Ir2V`dSuVYrYb5@YDA?O7O&!yA?0OC$Lx{0VOj&U
zHLpttEN$>RwbjH}l}dm&mZ-;)$tI<ZYVfcN(<@Y49UFX$SW2q%<vbiTiB-IO06R1S
zYe&VjV6jB*0=t^~7SU}<BuJWh(GJxo{OwBihxfmM>W>diP7tNY^mwsCWk>sB2oZ%w
z&(Q)YV=s?&p-`r`erndFn_&rs?c+(v@p~@VOlTcNB7F!8fM?n9<NGt-1rKcvj4>mN
z5$f?hrBn`0c_K;%fZb;B%E;E1*?9CV&*sBR4vRU-xI*J6Bxi0%Ys^*!080Tr9l!0K
z02n0O{Bk~OsJ%!Wy-vw<4Wbt{&kh;7i<r6rxqUdNXGhp(C143w{hK9GvJeg!-=c0#
zu9?1_Dkr4KT_y8M>!oL|I%!^`uMom~YxiemlA{jK!&6`w445ogJ3A8Iog}gLOvtwa
zqW?nCeXakb4Cy<3^pK^ZBjF9=c=H=*N`wX!sh9yJh3|g$`o)2B_TY>N*%!wiOC0#T
z!gN5GFvktwrZZKyz1_%dCXK=kK~F?|G)CKeDVn<8rjidO=n%TxdDz`{Z@~yprvS1C
zK@><?sZ&BLC>AhD6&r8k4X<@0r!QrCF_^a8Ky1NpPTH~Pl=x209ty0D5TN<Ult}AO
zP^^Z5Ws4cM)&1Z!)enhCf)1Ekc;&LGtcQ`E>F8vG@Uh){XIY`gTfiOnVG1HzA$BEA
zs4P>c3P`}{?UFmShBS)4-SjiOY0*xhY6T+7uI1y59ST;zd$J1k;{)&Ns_6$DUMZME
z3ukXybzPFxcI0*OyPNIzEoR5~MTaj?kZc#fUZlXtNBm~2ycOThPx);Sce7^~fJkLQ
znSK*?4Uc1PFb4%gm`%O@YcGJAg80!;DN0XU_=w(<h}7~oq-}X|LRrJ};+S#Ibpxc#
zh#6C4{{`MzrD3!E1X%AOY9=EOK*eRK2FkRZn=HK7b@cW3K_&JAppDT)>KyjvPskr_
zyi43K3Z`7*`I>z{IL0gR`}=c~Us7&(uI8{y*<G$P)Np8ddVcr4-x_*&TcrTx3bHok
z|J16`D+Vu$VCeD|1pGmxxo<d)lv8b!Sq-;-NDftN=!St(;acs5u$a^#75jt-g>2Ej
zcsQV_k^pF9{}=JTun`<wQifI74Cs7ck(&mE6sJZBEoGdw|Gs+A;cH<^E>qVwR*#jT
zaQAoNA5aQ@ZQUFpUm|W40nj9jn!ns++Pz;jnoHLgWH%1lKfV`MOy&9P`1ttHatDH7
zk13-#Bmwvw_Ab_Vo|@^9w}DxRX~wj1^5llw{BwY%jFm->1QE~k<n}LRga%SR$>%Ek
zl-cPz)P|vnFeGq_5$9MOxF<+~L7HA*T;mCL0C-GHSMIi;RxzV7UhW{oRKV&9>IcPn
zyS2+WS4F10%`>tV<>mk!rr;NidMPf#EUa|RGxJHXq#D2?`^pZOZ$EZl9#|SgnCeDZ
z7}sp~DT7K@+;$*`J<0o)*q8?p+z0~1U#m4i#Hnastj|PMy$AN~<?bufJWwoSI1#3G
zSiF;whJM-hK+A^<La>7Ut?U!0OHxioX$!Y1ijoC#PT+)I9=1EmUNFQ=z$cd{nYRF=
zsS6lQoy!CnRl#gor<<`2WoovtEqbqsR2QT10dG_q$)ul{>(@_K$pLzCw7LDwf!(5C
zo|9_|=I*dd9VkAl;n@N(BG5eAM8Q^-*h4m`8w%u+I>){8jOenoQRxpatcO&;94g69
z7cV~E0-W*|fM8#2r|_tT40#E@be25bH<xe|?K9a-CnP(O+q=ULdv>8`vH=-rus6-M
zKKSq+PG;!CwcQzP2|C4+qRGAd5>wd*f^uWExoX8ufS%g|kT=&;)>{1$J_p{xASy6Z
zzX{n>AK({GWQbIE4)_u-;*Q7`Mvq0NMfI!Q;H^z{0(ch4d78J3Nx03#LZ2&rju%?N
zl(FWK1;f>^jk<01kb5U4?!B@gf7eEK#}8e2pj*(gaAF(H6Mj+tR;jvWM%`EW^Gt`~
z_nY|utd>F-EVQT3eU%$mPgK14gekm*i)(03-_z95pDv}{Lws<_Qu4ydN5q>kGQ3cD
zOGD26KIqspxDmEsoxvSNQ0@(8efnC_a8gJpMk{EY0<Fe~==_9C_QFh$ZzTZEg;Z=O
zVh*9emO#UI)ut~4lSME;XOKV&q)mPU)I=`2KZeI3?NY#jYcsKkb&9BeaV$zLQUB5f
znFg1Z3@+@u7m6>A$OTa1+rjm<(|5WHDd-K+%<`N)x{LX4oTjgf)>7qV8km*rFGq^O
zZl3!oJP2n?iEIXRsh){!LwxqKM2cxcAi~%qdfqx99Y|OGfZj1Whad4=<{RGj@?gG2
zN6e6EVI|dO%awpOSAg5r)C8%E%}0^T2MgW3H2<1%es|`x3!k0(v%n56IUj6t7PD)`
zxPiJ2muKgovql{Q#_tKVJKUz`IJ}-`N#r-pg-pAEJr5Ylt9s^h6U_lKmjYt;x$UOj
z)qOl~Mqamr`B-k+I8m25Q1!L~Y3Gw<IJ9`~o~nKTfLL!enR6E`6-;1VT91hnTTdS>
zFc6rW$UndVx&NS6_w4(;di7o{{fY@!<z&f#%Mw<0%LBQy%}pdRKt=Va8@m^!&JoHS
zDF_WeEVqeF7m5?QmEQ`hu<4OwE=kjSl<S%NJuRGY&899eKBE%hMPYZ*Kq#lywpiNo
z#!yV~t~M!X5(mr|*V46UyWyfjz2iR9GunGSHF9*@eT=rgh>GYQWqitV86>hN_w)H4
zb_0R9LDPVlozXo{Bf@3dL2f5C1!RBXZHCc2oU|PlI!f)QX}w<}H>Xr3v_|wo^h!8>
zJl`WbTN*!G2rBq~LV9y%frEK5lTLdr6Q@xSb>!7>^!DUZaWaH+|ExyHuu!*@l;LL1
z(jwsdoCc60aO8GB*XI2;wX6c8^~ObfV^bj&3-|QO3Yx=*QKDrlw*4&rA3isEi7n?c
zyt<bF$hO^~Z|(ZG7%gjv^(}O+-{VhUh8+eOb&K^!hn^0sN2YUm_UozUj|e+^V!vWa
zQP71JPeKxP1(fd;PonLz%N6uDkdnxa56{xjVmewOMW;*O?l^G8c&h5sAX2YSIy4qR
z@PE>@CvEqF*hWpCEx!!>z+LE7x4n>d(wk#?;%gJNGA>o#m$Ky!g(kxelUcN)=s2eb
zFOi>cnX2PPY&x5HrH~_C#%dJBPq0@zTD}L$z6jKnJSIFJpp+nJLvEt$9dX|wnYH;v
zXXB+4si|~%(n-Cy$;qhcFd7bc?0E$PC{D=~T`*<Ma<XhwsIgFv-IeOha#I)7<FL91
zA89XmRzPEYMKOV@4g(P%9roS$3G-_}KQ#KTi(GTgAsolccpRK&gp(f+GxnGIPAgIH
zi4NcH4Fcz#orS?IRXzrSp<w3_@-dx>m4G+Jm#q?1-_pKKrv$wA58%WogNUu67zz;n
z3g>CaYoe|tOg@`75lI)!OTMf9f|z#Pp)s&s8#M7>R{~mrbUu-{vKZDwlnYMuSsofP
zK+VCh+BwAGxc+fM2`xBcDEOJ~gki=w-^)_BUD9&=+GMr6@(D>F@cMrVXUvrdYXO0n
zk3i{NP#2wj=+-SE!sigM)hPl{1a95I3a4oxFKx+G<H8SZ1R)?xsF_aK{^A~P(4TU6
zG*ZIu^P6ifD5(ovEVx|{^Hmu8;qaB?x*y#l+r^I)zd0zab#1U8PqlAvOg9WP0qP#4
zy-bj<#xS+mbbJ8aIsh1!D>d`3GT2|`G9cQ5wy6vA-9d&jS?y8t^_6m&;7f~oKtKSF
zRSOv=bpdiCM@7MY^quUA4tM)ufAZ-70CdlchrU#P>w3Gwi~2x>9xG+Y7|7LT@0bPx
zP{8e_m+6gMhU_AvIaP^_*!T#pXfVSz8qVqiIadO{etJpS2T==!z?N75_@#z;T_2@7
z^N896aPki#XhfY;7~a#)&%BU4Tm%$z1p!A^-H(rS#%(7@d);rYH9J(d)cR~uC^YQP
zg~g=L5A&Yi{KSe#l0g!1+#9?SFX)^)4D|M1XD53r3Fng~1}m<z29`+z`nYDj+78?z
zuQi}(Lf}b&o>~bR^zIB9necf9&Jcic`vW@H_SIB$S6iE6?zi5H*kpK#@LuykALht7
zn1EH+fM|k=FNd{z2ynaxZHlkiWcinN%WVhSGuPf1kFjXDu*F68lzuCB;zz#H;qN4@
zJlP%J>G2qUeqbz(KKk;aTle$x*>gyui4<up32kwIexT3P(1iKwjRKYGN>`DfI=>q&
z3$S)!Xkh<O4f}B{2G0^o0+_RCtlyA<Rh3{!X!@s|hxHrYz~zd2u3FcXU)0~QxK#-#
zx1C;Ez>Uxk0uiqW&R9Uv8v_ltK7~imLNF>#I1T}iQKiP-t4dss!b=s3K-on0R2tYc
zt{{mtlTHd~IRG2wbaix;(i<2UOrb?4baY|S8kO$TMF`Xs;4%wv1`E<xh6?*T8!eX0
zKC<le0^l^7-UBH6Ynmq)LgR3{G7|Cc&bY!{MPWZEM*xEQgfZ}<R<>&t<Eu7|Zgs{q
z*f03RP?J1F3tKRIOv!p5!Cb;!hz{eS--cUsmQMgG)Yr7sA$-O7GP&==bieIK3}4?o
z)n+MFEA-!;c|f{6<YH*F_SS2vcg|MAcl-Nv@Si;cT&O>g7LtKiS7W|~QCex8V(($a
zPDj#$J#;W?<q1-81Q>{v`=UndZOo%{yoOx)Lm_|u4;W*UkFhX8c=D5T%LDDeCrLG;
zfm4+~wmt?G+ghfjo8F<IpjzY!6Xxrq@i2KSG5;t{s2C6f^y2Q$tPI{WP!aEy>**{L
zCr(z0E|1x$D_;>jH;$LNgmdv+#1%GOX0R1cV9O{LMU$O|q!gst;1k$#BpEhMqIGaH
z_%2>Xa_~28hq1D@Lkm)<p6`#j4|@}CFD&>B-enA!*!fJoz2TLo4>H_3ZZp7bsfIC+
z&iXn7!A6D|l=y&)tT5*>Cpm+N(?rVdgKD9@nuo5kLPC8$=zC#Q<X(O|GznMlGy#&%
zSZ%unqwi>3%1&PAU6L&0o1Ijyz6pDd6)XS3{QT3f;QFI}kxzL_-H{!gooI31LjSco
zu*AN&Ugna9gs5Bq9;A$0El8P61D=NXM1qrV5sF9<vdd~MS^mhPn`!#__G6+Fg1Yz5
z9HGQw%1pxCR}Y1f=^x<;=yiR{O-}de4Iv}6$zZ#>;z#E64J>T0fLpXewqHA+M-4S0
zgaeT3ClYIA{Sz|2d%b;IIXfAw8#B%sd7t+9$$)r@X5&<Swlw1ix6{f8WC^%1-~Ib1
z9|xLN4{dUj<AyjhlLHTJ0`ha}xV})~s6627#{nKU9_WAia>O)&wo0jLt$f_RXaA)<
z1I<;lU>q(!CC#%nwJtMhYg|_@LH%pr>6F<bmOOm81hWbpik~R>y%;OC>NbBNvD;yK
z+Lu7XS=b$Y+SO0Z&8=6^^QDrnat6jtv)Q{0sP_!oPcKwc3a%A@%-RlJGr9zJa#Mqg
zJgYrBJt_xVw{?RurP^4D+Y0a{?V2=`#&gCl&6HO#Dpwhxi;1}3TqH<cx%#dH^a9-$
z7YjW04&xSljj0+*N9h8*<?UQ=0((Ffdx6CVu2znpKgA*Y#T%@zA^KG2!K_tF@}Zi|
zX|K*ldVWZ&g?%ZO+OI>rh7n*n%Z1ZU86z|8hr8YqpM<yil5W4AY6v<jv*|C$I9bZ_
zC@#zO;*A*sm(t?y72*7|PbBk|Q~iPEGwAp1<Ul2eQQkcwoOW8QR%ZedU<YJS-o!f<
z6u`;Ufb5jnFFM`n^^Q<ldrn4{=_3j=jI{76A80|Cd{Vc>nG!5dxP_eFHi~<#Cf>HQ
z6)rMW9Ek=X4bavkbs&g<Q@!MX=?%g(rgV@hE+*Lc-3^}tG=UF7uC$zrM}H>Z)~oU8
zc>KbHL@na}clz`A!BXC5CnD^seLAxVPBoo7%0aRc+fSsd34V+MQ1+0<s`A*I)g<V|
zV~_Qzq$YtcT0dUZ7J%N{kHQlAF3mqbG#Z@(&VKPngKnNq?>QA-uP2|ArKU3#TM)q)
zMeCCW9>a5Cfb<+hnN2<tv>z#s+~D>oa4lmv1tmhjgiCAgy<D^=CJDd;Z;u3eN8k!J
z#VwVjo1@ivFHM{vmvYZQRg94f?Sd3pL<zF`_~|gp6x9^pDue+_-XgiV;ZSGkJGQ(H
zMqTqM2x=)+M9F&MXz8S^CQ@u{V5;(5W2h$O+*lO_+SbQ;a_<JH1u<PAafgvNK{E&K
zq(}I(s2)at-=UXHmUR?rB2H6A+C;UF8jd%WRjqn%Kd6h#_`(V&y2P)zEZz7bc>Rc8
z$W|xnRs2B#0#uB*z}VC9zF*AX5M8~MLIewim&KQLIu731%|x$j_a$06@oHzOjMht_
z)0CXHZuM0iR56QD));g__FIaK3r|WV?5@|8jnlPCVuVoZt~I)-qRKgffbhFky@>~l
z%IP)+LaGuyY5W8MYh*a)N|jcQ23bQg0RVmB>GZpd&4W9HAUf>7d45Oxubrq^<bzGW
zwz+)cS>jJQHx3jj4VYBGW6<%FKM({ul!AnQ*FK}E=@yQx^lZ<Tw{~9cyuCWm2zbcH
z`IdFMZB%4Nqw0RF6|8sAi>xn_-$gPXAFiM(4u#Ggfl?V=)-+~%vWy6Iz48{B-Y<1D
z+D*Z37=lrJp-fFLEKT0Gy(0I#*cer}8z1u^LWlGKfE2iV7?9$pwp?QtlPd<|Tf^h=
zh!}2;?8tD_*(7bH$%awn=x0$)RDW+G<So<~joEXaS7ecgmp=7Nc2#<|pjE#cQ^{Ta
zIhq?W<<d$YkLC2_Y*AjycA~N*Ur7Y3=D-h0yB2h|7i6r6_()#eRtOA-Z!0UoF%O96
zaUb%^|3p%3g}6g8D2kCH`7<&mT(yT>9)HMyBUJz}a?jSS$el{`bpK2D%`FuiVOkVO
zCXOiPmM6sv#-9r@9oKCHbhFhj*K1HWW|S%@?XC^<t7$`M`UK}Wq*zLCCIE0l&uH1Q
zfm`L|J!#-fp~fE8%B-Akh00`)AE+tqJcBEqE8Edr4DjZw-=AwZS#ye4N;!HWRBrDF
zR9adRu$D=lY-7jwyk4Tu_6f+aT8Cec{UP&Hcn1kHV+GxPnTd_mrv5*GWUAV7DUKj!
z=<xN_@uG<BGMTE1#|w`^+iu#E@k*C;U5_@_SdNyy=}zQ{LKp+5_7xAL&&qS`0x^55
zuM)4|4;~ZW@LVplU(#}d&T~vBXeX7ecb$A;JX>@;8O%c*a<zP@F0u??nF6gkTsC69
zDVciSdWs2L8=;&(PUd3gtu=rA?1VxR*n#FmB|8V+fXp;>C#CB&5c>gS$$P&#*As8U
z<$Uo){TCKPP3DKm5_}$7_<xE7ft5l;#kvw%0dK{DQ`a<JQMpf<WNI66pKNmQ0AMVJ
ziV_{tSDIsnE*R~+VKsEy2k4@1lq=Hc9D}k09S%!RMbKF!L|@G1rDo3&(A3oKP5BiG
zhaYgu_rEcY5J}~iDf1j_d3J$UTV1$%y?SLEAOA&6;a}ZWg?AhiK;tVKCl1v9UcIu^
zqbDEZH452r^WUtC?<R%0`-2+h%Zj4IADUto)nLvZ#q@77G|VYWodn88+xdSW9&EYD
z1@yxL+(n+kAL6|67BBSL@#3SF?)7@37F?v2xY_v%{Q%8)D{UIX%z_@!Fs&-wkaI*A
zX9%oiM6|YV012!rw{wR@IDkVslxnbm*i6YQzgRL*WWxEu9_Ra_i_b&}u2PFfywUk%
zQ`28)E;E$ZYXGzq?itZY@%Aq!)?^AO`S7w8{FuT>DlE2D%zh#tywfPthWw)HWdJlh
zxh`~d1hCc{Q|?N`g_;$&(@9icI3V+V*WNz5G2~!cans3%%e{CpVmk0-DqgUSHr;*S
z_<adld)nGs=L{pAnyofKXwQMNhqjI@Kx{K%`uH0VEgY|yp5>()6MvQCng+!fQ2mZ=
zWuoWCUIZPRJ1GvP*F2@%8<S|vPIM)>(rA*5ok?>}jf@9Sg&0v_Bt|0GGOFdaOuzvN
z1e|31Kt0HI^|^^;#WMgv>o`0gYg%M2vxW5VvjTD3xLz6T>6ci5pHC{Wt)bw(+Kw&J
zTcex&zLm7dWZp2QzV%XRiP;yoWXYP1nR<c^;|<AxEY-NQN3kB6Q4t6~LGOGt3iJr-
zrar!RC4ByIqS|c5I{EN^;W`m%19T*y40LE_CHM(7m@W3C4jZ|tdiNA<XeW8k;S+OW
zbPykIbv0Su$2KCW1+@$I+xxbE_9HMw0M7>Ssyuh9p3XP|qruxwGrh%knwR>sxdm7T
zddF&!ZxBH=^5nhnX&~gw#P54afGytO^7do1ILU>9h$ec|ue>Oo+|3{15hz5d$yUKP
zpd#5Al%+h&NgDH5c3<f=Kb@%ZMTpmrg{qn76dV5NpwAKA{Yd9DkmV)D-8sY{73d$8
zYAivz1Vjby*GlulWp3es5Ye>ZIA8iODWd()kpcxXcH?~Smk}azjZ1UHvIPsFKQ7Bw
zz1*ZXsFrJ3Hk(?n&F#n%EcBb$=AU-?QWyL7xEb^fcv_F7D$R2}Az?KB*k;2b<$^pr
zB?#V0I@UfCOK0O;q%^s%v~BlDsEX;B!xg}aXVZS$i|3c5^`1%I*trtf1_QG5UXfm3
z=La#e94=bXNuN@z#H}Mf1GL9@12Gc!TyFaOCrn!o(HW%YWcz&OkDya_4{-sfliJ9S
zJd<TQQ0GA|-4z{F`penKy0&Ti(Y)w1(>nIEfy8UPI22eb(J{v9+IWCyqLS1vHVZ-K
zM8i<^hqjX=a}I@$9-8$G_1^(Ny|nb;<<QqXhFi2y>^_rV-IPD|a@M`?GEbB{N$gHb
zY0CpPc6FWxhA$?*yrSJ7s`pcOzE9Cp$GkiFIt`;9e|#zPlHYbpyZ7)JDd$H}lHH2}
z8M2(Qqj(tn9gh2oQ|m|ihM+mpYLSg1H~z88tE0S6{U!aLI(|J_{kch^f(NwFcZPvY
z1n4^^!#9uxWv=$x7W$0u+afW&E~j>B3XctY0ze9gf_LT#Ing?o=DWRrjKf%P*y!-;
zkH+tmV;B&QnN~XA0bA@QIf|NpBtoS2?bhDrCCj<amkfHj?^S}@jOG-Ya)igC0q+R^
zy4HTff4}%`y5W|igyFWz%s~#A22dw&VQ<&S5gHjZ#PS(0LyY3*QHl5f(~1PA`xAkG
z*M$9l$`7B3v+n#{&i9gn8PcXe?=4sykGzZzW?$%&^2>n^f_o9*QgLpDOPnyuE5&C$
zr}I7?r#qwAHv(!NuW@J5CsO_#M*t2GiBr78E<4P-G@tF1y+i}UYq<=P;4s=&fGru|
zl&?)@WeY9m$a&C4@8|=aH^zsM8K;09jDNNn&|qTmYgN#q^Oq?FV3S|&xtuRMN$XLk
zTk**@cf2gB)T5iqNzw)bfkCn7F85@sGdfk~m$}Yq2}Fb2h+}$6`Uf-k@iHF5QF?W#
z)quf~`e6^TB4sq!;6Rq%XrX+Ps1`mk3^i3P&WcpL^7BG{%J2(GfM6gRX3uP9m#wM8
zAQ0v_`q<p&{1Wu?U=q)ftV{WSbuP3;2Riq0$ku|zl!u&Od=XEI2&%Lh&XRfi#`otc
zy>6HS0u-n_Olmv}0ghr%<O{k(S%E}1cJ&q?m=m7j|55ZzulZFpG|bg~Fy)V^LX!OK
z<oV<r631<&l#=3H6PUedDt$*<uajr~-f;Vn6ze-%ORx1wAF!PQC^y@jxvRk)es!Xj
z5Ee|<?^Ydj+mclV7UEX#hy-=(Nsx2yE{pzDq%&#bP&pV4aAfypy)`AAd7vu`E#Aw#
zsGsl?cj!QkSFN`uNG<E34b@JB`F?J^Y6kp{Klx8<BJkZ~7>Udo%ccJFwGY{M060HL
z*4SQSTm3;D5Z?~#{qS~*!S##o5iNENZG9Ma`HsUf9H-f{fW)RhMYZCaOw&8eR^Rdf
z&^+Myvo!`-Lq=%uef{ul2I7DhVsc*n)=UWL0##QMn@o#kiR}7ufnrf2J)+tk*(UMC
ztN*W^Wj)6Aj!9cfYq%u#Qa$L;O~^X=s&gZ0Mjx6Fv&#s$Bg>t|L5EKI`@H_UmIz+3
zQa%X+&!ti`xBc^hFg1;W7*y4m0g#76$|WmR#$BalI3>a*Vzs@@dyw(U60dKix2y*(
zuNCid5iyJeM!GiTUp@!GQ5ldK-R2XV{JRnB|KaPagR0*8eqjr^0Y$oz4(V<LB&55$
zyQND)I;2|!q`MnwB&9o~MM>%Qu6@q)y!ZX%&YjtF=A1dh-s`u1E57SfOGQm2_ZK))
zmpW&hluyhfS>v1o`n0Vzd3^5w=Paw!i6jpY@rKDRzPaV&{f|3}?0-AUe2APzJ5(A7
z)#p5`9$!6sIlb?aX;LxF^>OJr`!_vd7!!*Qx;NN!){5glr5jls8ie_lWZE`bs9_NN
zy`Fb*?)vOa*)q3PS-9qtPJ6;_I(m)59y^{T;#4eUQ1KzW$#EeAbL2nU59pgIIbcCu
zt=-Qv+_CcHK3ZK-ZWhC+q6hKZtapI*n~~;vZFg3=<<CzKbm?li!11zECbs-<DGVUk
zb8M%{<CrH7DoUjS{-o&_)ng$FN?}o!;<l}Bl}BuIu2v@N2z;tcFugHc)+S!~F1b=X
zMCWxrg(9i@k(#Zd){~)sR?rjboIhGoZsP(qRt=Vj1sN%Jvix`aujk(I_wPs1{yxBc
zQbt(7^^1S*mKO~kA&3^NL+!SbQ5aGg0jsge_0!4TdEnbho)^Lvp#YKQfFAu!A3F{Z
z+x?s+B`51&#OB(9*faWjEs%(XbR+YVfU-xV6t=!B;p7TI^Wy@9!YSMc^OI#&irDHA
z{+SKj@W4-on^RlGWl7}+r@?jt7|}z2BPO8=V`Cp~6}#09I&fr80UJ(rC0>ODumD}|
zh399ppAK>UO~+Ut6#Qq42_j$5zA7_hv#B{kFle)vKh3Pnnb%Rd&sit7r!o0cv3(WA
z0oqamCS?JpGBDBNPH1kuntK0oA&mkr$O1N@*ifw|W@(5R4%DboM6p_btDn37o&hQJ
z$Ehp#dSg+s{!kx4Z9Ruk-|G}phzOW;O6_t|lT0c&cT;{QCETQKCZfCoumxHi9+j8t
zvW!588NaeCcJHRkoufJ<U)1Obp|Z=iy9D&;zW@^kL=<P@^DA$&yfJlIe^Sn~oA=}Q
z!ZgCPhS{L8Z~zTe>a*SI;BFcW+PKcnD{ojl3v^53l7?pu?lR}f7lZ_26%#h&P8-2k
zf&fWF`-X%~VM9)7#+obJUyIT9g!MphP@!H0^-Fx;@{dtB4hr8kq>)?bUqts^?z{@~
zv%b=VE#;I=nohC2|M7MH7kmgj4nQaNLcT0Q)dISBg1bswG@TI9on&C!N1zs>T~N&f
zy>!Xj<5D(L?*`>wY?xb1>+YK~c<yIlRWQ<{)rt6Lgn)k_Xu^j6Y~F?;4<3KxkyVP)
z{=wYXZ>}oUj_)a}Ui+xr<=+i)bk*IH2J*NlDgq6;#tTMN$-jX&MGsd0qSM*j|C~x-
z`xJDcqX8_HnwE_Cu@#!DnI6JrXN&6entxtC{<^(!Wb)Y`jHg^1WiPPbt;;BaTbMHE
z&*}lqA_L8W(`U>8#KFG{1A<CdA+Bw>dc{Yt+>&f2?`*#w=xnv+-<M45<*dzOy=dxX
zYKM!b+pBk1qgprqqn!T_pHg5F`ow3(mK%w)KFki6h{7i8*sRCJ9;#Q9UW71+jtspl
zz~6a~T<o$=->vUnR$TOWUZ4{u&cVZLuYUJKL0!E~=aA^>iduzC!xj;#VK$uBn5zA4
zM=#@^77P0~a&&yq>@Gce!bkwY@A)$cRZ;8;YY#8EJdo$T|1l~yG6|Wv{gPjvtn~7q
zc_e{wzEh%Oa`t(o?tZqhV>vtHA-_r02kk(+#$4iO;it@(%WB3afnrbFeMXWrk_>!_
zoQNJSm4mfWTjjj5CCNl!Y_bSmR3U{D8{{@~eVp`lLOt+BB=R3Odu<KB>(!D9`8T9J
zKd~$Op>6gPa9)yN-7$4Zyu6GW`0B_+x00<OevSx_&<<vq!E=xZuN2gE?X@L4C~q<s
z+Y>~<U}=TTAMtavPnG1guO~Pmg4-NqyT6n2IvMpx;sBk;^4CuvMHeeSrXcFHxR`@F
z@7aj!HqcX}phVJyq}(ob_*?;I>k<^U$rsp_yXs{ce#-Y#v=inDQnc_<v{)FrHvFy%
z!Q8b=_3x$wd(H3SiV|7<KneO6A{Th+C?So&u55JQ?p!iq-`|xHECjSTB@=1&cD=wn
z#ts}#;QLEGo&(wppynm3p!6+DW@#{sKm^*3_~c~u&B{1At^>en2zs96oL(I+djP4&
z2W-0i!qU^}Q*b}Ve2MBe-IkuZ`+Hx<*l}0zc!1B`taI{>0x-RG&j)0UpTK7Ti;22C
zSezbz1(>QYioy@|qQOW&nQ}N?^bt*&5zuvp3|bZ1b-UnXb3l(VlJrW|?i~QO0L%8S
z&6lQ7;Zv*aJTuN~;O+yi*sU|VNJOcwuic}S>gS!lzMW$;Di|@pIaL})xLFuzr8Wt*
zzlS>Wf+|WAY_|X4lsd>%#vKfQ4Kh$GF6+ND>xd?4t{{T2tRs^*60iLs>o7=TqbG!|
zDIdIIK)go<jjGsMfj*Gvq;GNkrGjV*aLyQ)q|jPJfR{d(P0^BMvj?veW*|svp3l_o
z^nU<K<+)4{9JMp{C;e!x;|?TX=^Mu+RT^|G*?VKPqJW5+#P`O=xuNzQZF)L^#b5ob
zR+^mwb6Bduv~$&bC62<b+hDWvJ0fA?RSJt?B?RSKe^eOQNdYp>PzNOMfXH#0cK}^n
zNw3eCiYC3iyQ`B#lu#wl;|kzB-u8eUV09F&@c{adqS}D|6m71$*+E{Ut_#~)QkQ!V
zb<6IxppWl_>5D{yKo4pB(?j|>NrqX@!lXE00SZ8{TTGa-u6CH9fQ!9xu{u2g+Ik8S
z|Gf$FCR<QOZhia6(wbYDKMyz(9H!LzB0DesFL{g}qY2cqoNIgBU#K{<wL#7fCThLI
zs`q+VV5#<5fh=Q=TuhLSAotYT_BI2rX86koJs`-5mp*6TAouq48e?=%hj|qi4#3|7
z82IN`(TShkI%UPnXv%4&RvJ&PGxREmW02cQU2}%p#<H@Auk1sZv#v~chdr?}TpvJ^
zkk`BRUksJaL2wJGm^t;jrrP$6t~W%6bv9#BK6)x`-iN?rp!n#E2^I=PndeZmaIhDJ
z>RGi$h%iD*8d0Q(zdbkEfL^l^noa9xycWn!uZ)+m@#UJTJl$rnIb9Ttp^zk$ipIuI
zEi$HlS+=ncE}=<j9x<oan~@)Js4GWC{9W)8lU+=p{T{TR3vp=&%#-<oFSH;B>=>mO
zv!lM`W++mai?gDB(}tW8#B$-(^*tr^T^}Q0Hw#A%=(x$ppequY9ad*Kc-?CJDYVpb
zc&bTb=lva%+$a|<h0MnmHsWwNpgaPFQWg^zCAw$e%Kb{x?<eq1GWuwarUS7g`)8qR
z?;rLJl|wB%+y=7dW>x@XyR^|NG+XGtpR&bmzeJ}x?a|PlcsT33iptVHF?ICt`R{#^
zheFlJ6%A)XNyO$_)`@G$mromE&BQS^se~(~PVVlLA5?rgE|+XKY&Ep2Z{_1n^PX<s
z-WtsmE7O-xt^$+a6v+-|q$gLX-PTlwb_Mc~L+a-bM?taYhY?XzTwipXa^99!%-pQS
zqfvGCAf6)_g{0mRRJv6&>Sxoam*|<hUQK!%Rnbq1CBI%>w>_0Au~h3-+s%xakbvFJ
z5|;v2RckNpU)Yd87~%8c4cGNF{#ZXZXS3JmzVLND9wW}KSR=mVZZ1WaiZ}E8hQroM
zP`BaJ!ADM>?vX0XP&*ajx&|Po79#o8wYWZD=I&@}v8jp`0y?kq1>l@DLq%nH?UC+q
zTO(tWqki>dnaUu>$tI>)W!#GEj<^cVy22hswa%;8LkN%wxZDi27yh}dMqO}t_BO>U
z{WTeoLwb-IHv)WgD;5zEdw~z2(_NEHW&kF%ype$fz%rJnc_ZX(r~zDGD~Rg2TK7#f
zaZo=SRxDTO%lZTFu?^Lt-`)CYveLN&>9f_pV39RCW=?gOD<^=jo`&kZajx>uwbF>k
zOo?ql<-T05H1?TgHSNEv(-@CzDg8UX<`bZ+uD^e$g2>1j5zYyZ!)PRmEumZ;9K>YQ
zyC84J77;P;>4<r3=y=L8nW^>CR1LvYEGB3HRVzME3!P1+Kq`JM>g4@60e_aqp$j0F
zt{y7FEIH=&>b}~3dUx40kY*}L&(7-76EGVO;m3i;pnDF%>?&|3<wC_khsP*Jf}cyp
z>>H%dX@*uDJmp7tYFdwu@>Dd$MD(W-7p%_``*_}TseQRCjm-8v9Xh`QhU$q6fbV}B
zHn6D{PW;8gIR&J6V?|tI;e|jq)>%rEs83rxm&NyvE`IPeL6b`|YJ~D`_*Ao7e0-W1
z`Ny#o))5V)(?WkfiN(;v#N#D)wYywIUWd2VW<4uHqY<laqio+k#GFX6dTLxA0do^r
zX*QUv^;U>?l}8#yQaw<BD-hMzi?EKb{(+M_u;meKPEljDKWj&rM+SViE(=DZu|#w+
z2c7zFlMgc-EPtK1iaccdtuG#C9*SN_zoS*q<_+Q1TAOJd+vj#z+$)-uPlL0FQ>%A%
z(^c}qKo86#BZJq&Zjuhhh6n%k3`^t(h5kebG@CwCGKK8zWLM=}X}L-w#7YN3!^UdH
zO0xo-QltdYTlI@B);DotXhT)FZxAkj&obN)dqs2|y^a_rV`me``gxP}?t6`TZLTx{
zd^9R&sEGp>(+AnwUUXGwLun(Lin$b7R9r^r(}*iB3n$&-sDKxS_SO9uPws&I>-%{H
z3ZkzajDi35OB}*`AoZ)30)60pqpSC{V~eV+YNy)q+AjKI$RRq4?dkoHu|mUCI-ywu
zzq&DagcYnfxbH&mF6bZ>WRM%$fCdhUB6A`Jw8{g;cQeXwsR_NGud1>UWn_IJ$rGdO
zUD3V;nRyb-CQ28TVmx+zY5O9+t`*Pfw#W_x3)%AWifdF_J<sN*q$ZX?u-sI!mAcY3
z)Q6+Kb{qePk>pDh<um(%Upx_TNI{B%#K_?2cHGWN>vao8$tNC11Fg`QAbB{fDZbIS
zn#(~p?BqlKYIY&!h+56dzypZaWn95JhMF`{dzh*;>E6lus;y$VDq-EL>pA(Ta%(d*
zO_XbSt)D9zi@eOySxAkr0-7%`0^zlHE&b=|3MAof0$;oCfZR8q+H-8t5E^8zBKc+P
zsDdiM+TnfvCCb-+n!_Bb+II;O0L}qzM(J0<rNJ1s+#4EfT)`MZ`3dkoQSm|_SZRI$
zuPt_OEXk{^JJszhk6~LV=Lz^;A{3)K<S#h(Sd?>Pn~Y;}%HO|+rpN~<=dLN(LC*Z`
z3V%9%!Rn|p@&sVI%t4{Hr(swyRb}%XM=&6meq0P3gDklzS5a3^%yyRQiy;KsvuiVh
zGz5onnhNK<*MIu3dS$bB_2CpPnmLzPUMXKAWN_Mzk}*~1Ay&yaj-F|JzdP1+RH$-D
zZm=^VWw{PdILx#jzo8E-34mfVz$34lbi5;Mf`$h`)uIBH-<05BDDdI~GY5fs#Hrb*
zL$Mb^W=wV0xK~@^9XU4lm?~ksDu4hl{Hd1S6@ni~@+wsM9LNSle^wj6`0~cbG}4Tk
zUZLgd7FunLvm||?|8H)&s?9ew!xk`TA7bv+KZAv#%Cvg~MhwYpSZF>5afEZ2JDye6
z=dmyX)M}4F%z-}wY8P614>l`(Fau-rO^UQ<DWE&(mElvaF{6LOXmSW6;kN-IHte@O
zTwyfc91dq{T5k3GAj~kWxQbQSOFDZQnEctFmE+8*x5go-d9XQG?=pT~t+e*Zr;!ap
zwds0>jLOPw7WFtthHB$U7!3^<K|+>-vqUe<z=X%R4urdtuD73ZZ~CNrsPsO}agI5?
z$>p(J?qK>_?5T`;qDZkOWuY*3>RqaL(C+F2ep8u}GNqeRMY&asF1thFa{2>3^RQil
znL_8DK@f*&SYIaISVY6(Q`7jAc8xKt*9jBV#N1Kw+{$K!)mrqwU}+B;EF7<JhrI=D
zqI%4k7To3YYo1WvL~}IGfrna<-_*M>DLE(79q<}3pa>(9x&H}ly5G#0ywjR+vQ$R!
z9@qu-GT3Ck*^?8c=Rirf>|ArX>%`&gt@Ez75J|r<wKeePoFF*)?0!GF7AzGzW^`7n
z19Lk>L<G`|eiSr71}TtS572m;wNgN;%N2@s=d|{eMb3v@O@2eYpiZ9bT+4kr%PsP7
zGUjt`mr+>eV0K6IYU>;B{elK`Yu1jI3Aa6>QEn+l#SS2l!zY?rdYU3bR!JGl+jG7F
z7Wt1J%v<C+NlZqPUO*SbMQof5!FNqh@Oq7k6i{lGmHV?gCK7)nB>+j%b9!J<!EW6`
zdxsu<s!l?8WJs7TV%Zk@*ScR4NWBI(h=I?wN%Nc1xM@I`pjbb@kZ}(}o9jjhUP3r8
zp(hjdaAH8jT859PWrRVK#;O&;6RyuX&$6foZ8Q*2J_H~*1+GA!iy_E_b&0l-&NzO4
z9JO36bgN4ldxPX*vsU8psr6~YYtO?%H&e^#SD#97XXW0!m<=}|0X)n~$@=Ulh5@0V
zXSKbIcwr_wMsZrwq$xP**lF>4@y`WBz^7bl?~lB$=U#$UVi}4*>{7TXkNTW_x`%B-
zHRK9u0wxcy{|w+tTC~9_Na%cPR7xbqeO*_|y|NfS_l7-sF{YO>^71R#lt~pe(~XEW
zgf16)BR6EmWCOR=n}5Y4b~$RkJc%gJL5tsfyFMlf(ROC3?0od@lnLS?1eIB>k6&W%
zbC+Y+Jf{m#jt-xt0W)6Y6<%{6WgT^?Sag4KBTnP4(E-v1Bt7Uxm;=8~HWQyYuErW4
zj0FN(GWaa#d>bW%;ZJaR9vi<y8XC(k7PjANI+ic=6)1N|&J%mtcko|a+SL>xIDO52
zF<<tqtD>2UAbJF6&Mc2SzRG!vi24^~-b8Y9z>=W_EQd9%$<0dJb>!9N8k%slzc^i9
zsa;37zc8_33~z`W#a52t!{!R-ZPG*r{CCK)LZ8cyc$Au#Jo@CqU<)YSK*Z#Xd>bb|
zf3YdG|HZ7Pm}%SdFFKGk=hl`5k~B(U6~35*v=G-Tx(T%xTc$PEDO^&-EZaQRc$J(z
z4qXe8VyOtvMh*_|0cqLG>w7-=*2)MN{ezy@cuI?+7VoGk3eENeYj52$GDDcX-}-T%
z&iFk&IsWePs6nQ>w_4Nl^Ja_yNBLR4Kk9a&6+T6r5U7L}P0Lawa^#R14Lk2ikAL7P
z_^<A|O?RfRna?w~9W^tsd!9An1ip9OP7|REK<>f5jNL;~r*mk{<t68=$8#qTi{+8B
zg}%(Q^s1S`I)F3F&9>@>AnNM3I}wDwRXF|Hd<#sFRJF$J32N?eZ;Y0Gl|wl!Mo%Vd
zA?dRCMq}OwNvwjkWOI?ZV@@x2jZ{s<GYC2eT2PI8LdidNjL~Bi+b&(1j1oTKEnRSF
z{(yvLY8bEB$4-<xKP(IB-=F(62q!3veb#=wz6u|^GJ!fm`fil1?}{Q!;ydo!m~W0i
zI!p7Y@Al*dcu9a0Vym}R1`iJ&tHV<i%N9i_dZwPM>E;t+Z*`oe<5&{h_u~qsV~RLR
z&@X(D3J39=QRMRFdRz$3skLr;;^6Z6>cAj0&OJAuY7X0^S2DCFp1QWVXz3S7?Rik)
zb$ymgoDzI&D?assT2+oikXs}YJ9exFGCOu<@hfDfywZa2;qJ%ZBTeHsXsVZ43*ycG
zX*iQLh#(5}aY4?-`|4<Hprs~NX(k?Vz!m=8x7bW)x_}#UlN~2J0cn?Tx?S6rv5bs-
z*3?$lUqJ&jqQur`5@8V`2WX_3+c6(B7ZveWqpsYpP5M!sSmYjDWSSl2hUX|*XnH)b
z+M!*q_@(7es|5;BQv#w4@@Y)cv{a!+D<O?L7cYWC+IyIv^WgO&jwn6B0!1+&*hVur
z)KI}RQb%9ElW(&)d{u9CkvFDm{#XIgOkr*d!DYe#WR(CXCKA8e)5!=SEP)~hws9&9
z@2T1+PGg8pRzYY2!)h77Ocf;`OpYG=S^SL)?Rp5qluLTPR`Z-@kU>y3NE{Hc|5!Hu
ze#uL37vs9(Ye2yoDkZJJ2C1`|_x8Xl#xXt19efn4nWf}=mPwhAem`^VNuU6alMX4o
za}wfa9(K6yf3fnLUCp4RIvnq;stK2dHQ?@*b-hrd;dl)~rn0GZ)rRDBJhxj03xvj-
z4YKSnm6fr|^>Iry#WY^y{-^IM<bnax0$VA3c7H1)49CJ9&v+~v;}r_o|EaId^fi{l
z|FsDp_GS_@7Humt*;t#AElh6OA6O%_)+U6-jd~7oiwqMbH}dr6QfoykUk!nvhjjoo
z)mu!~!^EL{`?W@CvIjf81wcWkl8u1KIDlhq7hN+TU7zTPElzN6?VM_UL$?`6=~}g8
z<7reZUgFYx@RR;`s^S1h3{sU#{FKt8W1P`t)Q(}46+I`RWA#{Y0(|(eM3A@jCJR!@
z)-zQ^Q@uU-c?58})WGiNvptB?n?yPqB#Sh`QTHiFb#!ncPmG8W$?0SG033}%)*fU5
z;&4~Ia32w{)|fz`2fbsZ%EY6Dw|~j!kY%|U@4sYSG>cHnQy@-`E@GdtC*h=V6gFeO
z6MEcdc@*~cfI;`ccGnPT;KW7v8LXs^GlfkTq{<`loC7GQ{X+e5_BZy!<bBQ9%m;(T
zu})T+XrXE9r_K?ZXeb575Kn-q4a#D5`R3U)f5>D;!9@)B!ymD<f|rELbVFk>+$$$S
zA_f0`TVOk!^MeA_oG)g3BBTO(F}W!b%?S`jYKLCVsa&zACZZUx_)UZ)hp_4wZ2M`f
z;0cX$Ob1A7;!QjxBurzd<nWwZtUl0VbU!1I#K-WV{p6ZZc3Ztac+mVomNmB9Ak^Ix
zab16cB)gYUHnu@|`c+exZ$gK60>T}Ae<gu}gi7nsyr;`m@4D_v6aXLcr_kcd!Z)I|
zi5^DZ7;bZ(ox*S7jRl9z{4~;Mn=|D-LFqz?1G;m?H_55&1`-i@G+hkJ<zJ!e1J5&Z
zgyTQqe_-NwW&YW3aUs@fDDtuIYwh|tP3Sv5qzh`$hj^e5y}BzEBy#kioW;xQ2T#VW
z)jB8V>~-HN`YAk)-?aYGnr*j5<u~8u9qG#pXPbUrO~;JtV5iCUkehQr{{~Sy+Ohh0
zC75em&;>&lcpf3$W#zc)J=9gj4)uxJO4gqT2No3kq~Z}QbVmoTP21qUz`5WpH#j2p
zT}O0`1~UJis~}1d`>2hh`6_oBU#wuq^TltIxbxgvBpko*m$DnIE9Uc=Fj*gQd}<$Y
zOziWHByb8SbL(iQEe<iQR*drt?h4u7<$~`u^`Vl9#b=|?c+f#D_K4m<P`pG+q>B5L
z>m;wj-ri>$bV9y?*>eHpQWxxLRbJ0>z6pe%1pa{-2c<%zyA9Mogu1So%K>rEF`{}i
z-V>x}WY3x{^8!hM^7>$$5i{1V8rwbBwFbRwm_Pq6ZX+?2GFbXc7)D;pN2ridCp>yD
z*0OIkfl3YB46lR;f{hfY2}9x3^%2C$$OBs&_8+eUM8`a=6e941-y84N{;m6B*JINf
zXALPXpO~`3U7t|14K-{v_o^m{jOWL{suoFzpuPl0f^L8iy$K|nD#zy=v{rkrgLs!+
zW^$@5etncMu8hG_c3O>lEj~2??M@L46P?1iVSIzeGgAWz{|rK0Fs%Csm0?Fi1U{MQ
zPi}GD_%D<@zwW$ntMN7Yx+@a5H56Tg(Gnsw9YQ_beg0dtlT|R!;??fgY0kk{EKt_y
zJ1gt4RlnYDrGWUHbbWMo7U4Z?`)Hz;62puJB#fV<XwhnY8^l*G>%2}3!GabBRu%&0
zaqZ$=QAE>LdHSi<UDI4Ul*<C-wk@jBaWAdEeIu>e31urTpI%TjF?`2qH38>grPE6%
zUspd~hTbR0f|0fbQYN~ne=pHiA|SlGEWDQp{^@jud?DxQ#4X|i6?7ErB^K;BkT~${
zNWtuvfct6r?t}lkfd!i9MDJ`8crEL41o$N$@_K(Ih3jSQmV3BSfkAEv2KmiS)tW?(
z8S+etzU2gbu$FQEGiTO2r$>+dH?r<Mh=OcM(RWuAc}^1&HYOJ_B<va*iCzbtkqu)A
zto?fNoAl8uD2UN5Pfd-{aJbZa9^6a?D4t437@WGb1BfM)D0hf0EQ5`}FC1>S>jpQt
zf<U&y`2+6n@T{_`uY^&YL5l|+x%(_OkvRRbDU5&qkU6k%=N0;znu)9eNJmOkwP>5e
zT+d1WNG0`Eov1U#+kNQM;}Ohf&-{43&#g2&x3`w;Exe}EY8TPwLq5;eY9~sTo5VHA
zy>6+?qR1Aal{-IJ<Pf~zbmZwtp3Np5IDb<Z`uJ0jThDET$-4TavFG=x3uU~{?nBTo
zgJZ<yuU_*$v9zA-Y&4m+Jo-6-USXICMO4S;`Tn1@lxa_R8fQBxi=z7=(U0w|^IW~O
z&qo?rT$c+EV~-Y=x0&^O<2qHfa-#?fkys!UN=%@4XL|~Iz^45QgLT<4Y?tJfko#>~
zlO?roT)IjWz1kB<rN8x)Gs@59L*hncF6HW@3D6faEbfAK!3%an-#o*)ru1Vgs7mo4
zcK11IN{&E|j2?vwC$13>s_w@2=VCHk93NKN8A1wrwW2*@$tdOd*%F@cOtz=3lO_)2
zT?Z<_>NgrqfK+>_<7wNrkt$bD(49VNm@yZ=VMaY>WNY2-P9WJ_h{t1B?UW4vrKaZU
z))rEhaF4~o)hi;r)oZt_eK4L|#XCFBzh4e=&X@Da<UB4@0%a#e_<Yu_jwoX%hJ2zs
zA{Pc|4rm-$&~?85O64K(6n&S>hV>!c-|IyX#B!d&uG;rBHn<6Y(Atrl8-78G#v==l
zZX*Vc(m9)tVq=k&af^0bwL25T2Qhd<sCJWos#zf_3Qp3fho$ZjcQs0kJrA4OZX~#_
zo(EHBe(u5KPU3;0QK+bS!nz)GEf=}cPmp;e^nT;|$#}P|j=(i!<7tKNQY*QB;-i`-
zf_P32biu>#PW<-?7tcNQ$=oQZoqWj)q6?qPKuZs+wLtpBU4_2O<!S@5zu){n{&0BU
zzL=w+zUdK<eV*pH9nQQB-<kUL@1eTDy&q1AZetPjWzrKOLind2wYB0!c1(87;b|u$
z7<F(4R36cdh$Wr!m@xGBjH4@gOY%I~W=%TsscvHmijumolG!b)zEH4dw(3bJe5q1;
z?HXCyJ-+ycG}pJ<jDlv2H+m&cv}s}r5}D-INfozACv<N#Im?;0H{cvW*JtH&@A-@H
zlZC7$R`Rzrxe+ZZFPDid;K}l^j+snLPxyEuw&cu;Xz|UryPwf>8@)A+G~Nu#u^-gU
z!L>%h>XKoy?b=Q2c@r%}7i_RYFY}Q(&b^-0wy3~Q$HI%lE`AT=`4Ikr5aJUKa+~1p
zTAPgYlrlY{(I0*epMy7dPbq>)sR!)R<q-6T56Py<oRDeo*SuPcE^Qn*Nt{vfkyq&8
zL^AT2RYinNsdsVTnlVw=IGz;-e+zDlzR9QvNH^7c>!9_g5UGr}Zg&hd_>b;xux6eo
zGH3BT++>^8MUR9nF2>U`(T>o=%!VIsMJWg$MRF{B4br@{lQ-}~^Z%O#AXc|~)9ySX
zS@I)VOe2^gjs<ex0d3o@;x2l0i${2$d$8^!#q|9~qi-IH_UQ2EX|&>Fn)3wuXEmB`
z;|eW`0}*S0KAKP&bz)cdE_AbmfGnv$;PCe4;brv?xW7Ma|9%<(W>E(}<Bw68>QvZs
z+c(1EU***pl^^B5Jr+ISnl21x6FD?*0D{Q8{{E=;%jx{=-y7<*;u4pUw<I-lsdP%*
z&f5sc{%1u!@D0(W5%-VZKA^svXDYuji>XBHlbNF7IRg07-bxEc0!<@61y&i2U%!D&
zc5t59^`CPZmI3vA_I`@e@?jlpqYdU;zGP+<>lk)km$!ZPTJgZ!w0MGPZ6MwCgQRGv
zn|zV+gifyBJl}U4TTk%W%Im`5eDSWt*rbi5*};`qR^gkp-UR8Xc7}~GJoC)_Xy)V>
z@X=is7v{t5oApYg#uj7BWUksfwz|X^eoNd!3AYt|S`B0n#5Vzsp_S^=9Q0r3mgXfe
z@B3?5Vtmgw);sKHf8d~)nGl8oG|L)&-B#XOE`QG=Q2F~TOR%Ey?GoptTFn{PPvh~o
z$ZhzSqYDUcP&41zeckC(?~gzUyU9&;Nh8fv$fGw!4dYAu(mS0|lvr#?sQ6mpV3v3T
zA9{|HO`{mhfMbGjA)7h$EvsF%GtzuvS|%K>729n%MQYIKv4$02l_|xTeX=)PefbNW
zkW#T8c0<K=|H;0<%gN@shr%$m2JsvOs1#gkm;4O2cuqBRRG06#)3BqZdLVxiV36R0
z%?fX3b7yfFJ`^2->tW@atK6APM5AxC|3TQ`MESQ2IJNCbY-Y^zm?$=)Par-M69Y%E
zL1u6SJ2+L}2TRWXeAF>TYB8aN@OCdJX@bYx2uPwbxTr^IHB4SJVBt6~5%O5c!9N;H
z?#^TtR|pJi1-r{oa#~sYMFv2Vn84T7c3fmM!&>y8cA>+IGoIq4+YsU(4hx?%AsMqP
z4`NH1H}4sY_UBIW>LF#xpwd%<ouvnXDnRyn*T&|5T0)^@hM?540WsocKuKn`FhJq7
zURb~!t(d}&7WJe?R+#MAu;`()JS${oM<J{P?{5zDk>&FWLR>&8{P!aj1xKGM<RhkA
z`D#OrkmE}Y(-Vb)_F>SvBpg_CTURs6|5tOL2g;Z__CwYeQ7z_e!fTp(Ml*e%pJZs4
z5zX7wuAUyY9xhi{?Un?B$K8$t$QYV&8N>hmG4wziOrxK_l@()J*Mm@(8f*;BXa8QE
z|E*&Oaa^Uf)hMu^B@bLO=e3mAMi3YI?<YqK3KCB(0Cnt(I}*U904DSs8o-YXdb~9S
z@994e6Ie^b3X}*Sr|<{adZMd#-NZI1J=sM8GLMBl3kL9iJ3U;a5ZP|E^#Z5`t~8_*
zw~Az7|4W1r^zd{*Aw7i>Gr|IIO-`YX)z&LIUKo%In)Nae=8gqvL4UmBX}&2Y!+tc7
z6ZB{iyu7+NI5AX*iHpiNObn<hIdS5{+C;|&*`Kd^4~$n7i4<Y?QiTejIpSn)kVwcU
zeuiZ1z*@?#M=V6HpO<4OBNX~dPLU?8AlhTC-Wp46)w<{tA&&#G$0!iW8`PQ&F}EGm
zo_!bi#?&>tGXnDH0GrC-kiMNRo}^!I6`#BaqL@4ujKj8f-g&tJ2?lVjanp{2z)Y&3
zxXU=J_dt`N@hQTx-A@Nt;?98bzB~#f^?Y@=@32w4b5Hi^2cfN*3z`@x+i~x~RWxr;
z-RNOM{uO2%oB~EtWP}JGrqO;s--zY=_VukdX@ZaAS^+n=2GHP1{3*&4fGz<#I-nI~
z-oVVvo7|_sn$ZcY7J6?4K6!3NfCNB~`~@H}N@dcuNC%gCRZ(iH@<|x~6YG2$&G8+U
zYDeFYkOX7>VJ*oI(6<485ilw!`azIpchdXwFQjh2rb1+af6W&}o>Yv2Qqf~Q@Tuf5
zEkAH;Ivn7~p|o2qfUNR%+^O@8Fw#a<n(yZiDrs7E7V?q8w#9qleLI&iq{3@DZGc+=
z7Mz!j<@L~fsemi<d#gSsxkvb?#9fN=D`ms~FmBsmFeIK$s$<Z3K;F9T>61aO0g#t;
zH%6CxLyK(6VLQi|xd$>T*|5JU@JkqnCT@cfYEqU6i!L9hEw-cZknwh$uk861uuxaI
z*PcfU0NBqUA%!wo`QrG;=N^OjJ`k~HeO94bgvNsCzUnrwwuG#Eat>g7EL(=UvODm4
z09mzKtW2pOc8am_TOJ5U>;Yl!pCRZB4uIe=%;`m-j{}Av`th(o@luoHxGaNh_tf^g
zi-Wpxg)iFb7_gavY$WsqyvQNwI-=0O2Q^xTqzBvR+==^|I^kbEhsM9A3LgD9*=72u
zT#8kT6c!vQQ&spRdRl@VfNBQgL&;2}E)vnCE=ZrfQc2?j!5k-?a)3U{rU|Igff?jC
z3Rq*X+?GmbJF3{$KnU9zNX8Rga4DPumNskf6~N?f&5GSseAKM3X3HP#3$#3Q3L_~@
zV3ZOy$(u)tG(b;qk&2K?PcjO@O<OMnPXg3wg@A4NrD>%~A;?Rfwb2NH%^WyTTYEnP
zt3oMRz}BDHj!G}v-Apew#H|~_d>;)pQJm?yojwGB{RD3ZYAI{LJQ?L}j+-={Z9zhF
zvv}WIfnl{ozl%`L7EqX0Q~A|%1)6+cwh^zn$CI=#<=A?b^9E|3&{ic3s5^wQq$o(h
zX_ldC+`~L;rRRH-VvuH?b2VOOc>l|9(FCTcX#9IQ6H(cme3xsH?CrK&^4cqsNv~kD
zCIY(GBuT+OjQ0=gGp8vSr`*FZS7oGrlC|^Bzd0pDZ3`)8naB1=vnW=c!K>4ExNw#o
zL%_3InCnlFawoiuuFXMAV0*mQLCF`Pz*b4aPKG5p;zkz9A78W7&)r>Y_ln)tZ;W1|
z2&C$;zc^&gm<M{N=qL+bs&l5oRaRQLX*X~R(3-VN*Q)r)|C^3QsZ4`Ou_&7t^vy@X
zQ>pSfnE6g8tybIL&iXTNQAE;{l~|!mEfgjEV~4UqA)(E1N=6d@3`@7PFZIxwI5^?l
zOO5a%hRYI4OAsM)&#Kea?iAtk{7&5sEQ0LhU@4~I(V4~$e1=X&qhZcaLLc|cwS)#G
z0q%#4X{sMZN_eH+RzJ=q@BnQS*_d5lE9j!de`cJ)Vz0Fv&o*F;w`{;$025m1lVA<7
z@NT{Qg*I!v0n`tQS-g`jN{#p_y=5sDu?`+fO{Zj}7k3M$AGHGkiHL11&A*b5{VAg5
z0&w(oo@(Xo5<EILgS4Tl(|J&f@~;TrXx4C|+<M(cu)EGlO7OFR`%qYeYKvXwb<eVF
zP|x&S$tN0@Knp?Qq;wv~Y|RzmKCW)RDWSz=61;@Sgp0T#pP+<7?e9;roqCXKj*AA#
z1z$QJTni=cQER&SsKJ=}S_<&^8cn*1K-U16di1^7GCWEAc64ODgUF;o70}<|4d0to
z+EX<vbdvKqRK20XcwN3f<PAdRSO;jVIb4vR#P81zQVUbJs;|IlTCIVcco>c^Ui=6Q
z$rbI2OpW{&#wNBQHwOnj7`tTod_7rGw;*);8zN_db<r9x5lM)o^^crzlL&-ro@?NO
z^3I4U8KrxR=J1>GlBQ@Fx4jjUB90&4V3R6R(IMt!f!6y}^;m)$%&FlNutzVhdCTj;
zw%RGGfX8k=g7>Q|U$28i$_s<u9PgYr(jte@Wp|~C5s((nbpCxf=2j~I1bE*p5RE_8
zc6U|C_c^a(cfWv=V_iMSF?j`e5hi2~C{pMn@<e=WbKz+6w5W>l-7Rn*2DngtQ2*I#
zVY_WEMjRY-y+GcdaFIYvqhH4d=I>nU;L@nS-S=+kpa!6xS(E){`JGx*Gl7jo?GTwS
z1|Mxp@fxhygV%q2xlyU6MzZWy^P)De`RsSJg`<V5TV97MOsYks5rfbRf80&9mx8=U
zGHP?pn<gX#Pl~QBI50<w#+q+iz&dJx@yVKb?9%#1?gJ(J%c_J-@w|{Zhad}l-226E
zSW63w2lHp9SmnL0GBuh*-QMFER|)K}6$pHCi~yyJcTh3eC7z=MMZdP0v81dcxgNG`
zbLo|NoFow~LWY+=VX_a{c0!>NmD+IL8c4quMW*!7mfkP3k9ZwI_W({G!~#q2AJ0Bp
zS)BeE>DbGQ>VdqJPLs3i{CdKI-BlB6o-*hn2#6Al=h2@MeKSldj25B_l$T(44;4&?
zInTqrOYZMLXntc>+j#T!?kKAMY~|f}eD7;%aThce>e}H@bE!Hn6|1z1vPawi;;8nW
zRL1U5Ic5_qi5eYHEzH09c55MP=B+>FKz-R`49ogNR@^GYc~8fTYYr+mQ0`!}gW~Va
zR{_FI==NtgnjeA=kmzSGxvdu_Nj^Tle$;pjv_e29gWzt&0#T{<mp>qJFAqomTHA__
z8N)FmhTmDIl3nS!PE?oLcU-U0NE0dwzFas3s;0e94PUK{G`)HEVIK4~qXdK=ftj`V
z1aY<4y=5tQ-)c%ensz3R2)}EfVTn-N#$G*wr1j4N{4t!VchmT@4h6g~FoX+%F!{?+
z6R;|$>bs}wZi&Im$*~{l=#hMv@-1TU28m3nzRZ0u&Y-%^&kt%$HDdo${9&U7E`@Ml
z$B2U$35UF`{6H9^PNWh0i4B**6~5=yPjX`fptx+q5ZSBcsGcTc$NdFzzyZqtSHusn
zo+z5eorIZPRSQ>38}vONwUj_bNEbUdI0Az8eQ<t^&b<>1OzB0FGou+Fk_yrqo3*En
zjy$O4=$F*fQdz5~UR&Y~3!CjFr*;Y4EqDT7T!G8foJ38l_as{5#h=iQ6Qu5k4rGck
z+2;q_#C<{TZ8hn)y*e^c|CX&H8$dwAeD9Nw5h=0;efF7?(b4ZI$(O)C-DvDdj8KT(
zP}JEwGrGZfpdCz%K%RG(c*BCh!mq+8*k2zWIN5}1VoV=NI6@V=2oi3+rEh!K4~kNZ
zSSZFt|GDVH;?h;M+OR@82ysCC!!GYZb#FUKbno_u<;$f4CAc=qrg@oc=)AJ21?|)V
zfTU#Y4kzr0nA_y30)8RRI~d}Ta1&|I5y?1^65(3#u$z(&j4dnvF}ms=yx;Fj`nN!*
zqky;sGUsI$<VK1pAg}vp)wy-5E0nvi*5P24$tblj8uhpVt!^%r>0)WiOs(P+NVgf&
zy8$;?)Rp7eXIXh3+}tF7zDM|M<9^hSmvQJ`Vb+}Jw1QZ(r#M`_laOpl!j5Fgt<?P(
z@%rkB)nc>x4xrmD>R7+RM;lf3d|6tyF+oU!SKmv94}T~ImaO^kT^4a7IG>m@rz`^L
z-GX003wC8lWeObH!)NQK%jL+L2S3YsUW15(XLeEo5h3ZUrckwaj8})LUev~p)OIMo
zF#cHF<x*8v>jQ^uFv*=@UTOj>a<46UG$qcz1vIDzLKH=C*LynO66Qj;!{Ex^pG`Xl
z8AL=RuSeFNNy0Ih_aXdtE{$ueET6DL7?XJ|bN&-t)H6Q30F=!nPF?UdAzLU$oaAi9
zy?zdpy)?EhW=|uN5Nn#%+iuP64%S?OP)&=4POefVZ5npBB*^p;p?-ZaquLCA*R#9u
zr*BMDZ9I!_nwc-Mnc9@Y`KGXSXRCLm^ZolKQ&WYXrTQrI__Q@}s%cOI4a6_49TC+X
zsZ7(a<Ii*R8s*l=(wh6X74$i7PE+7JUFQedxvEnk#<u^jG3gI2*Xm>!CZXL^9|^z;
z7<$)8Bxp~prLC`&Yq5%oS6BLzmXxh<1W>?hvn4o^AGv_1*+F7>OVr-vg#bs23hMI^
zcj|ySQ2z$sQe)Q6n{O3>^UjMfo0P`ZA6&h?TDL&-_u&mm&Ch-P4sSaM2TQ1}fL8s%
zeq7Cu&93N?KUa7HZ4@!~2&+d+31#I~7IuxDNjQ?}ndldn>4i@VBRQqiSa)9@ZQ9E9
z5SIn9qG>{PX*k|IsoTuJU#c8x>Fc;mg#xLeV#C35JjQRe|C~KfB}AAfZYZk!C2}T^
zu`>|0AkA=}@zrp<D|-Ts1xPq7qF?cx5f5CYL5hD&_;8nF@{nkkdINj%0Fy<!RX<FT
z<P};-{WK!Hg+1O^f;`iu*VlVO^y!Vi6wo1c_Apn|e|DXcKEfk0IOW`olaHvL&i4LY
zl5zu7VR!17QW}>8g{iC@4!2-mzf>~DFIGOq-k&MKGMFpWQO<sbBk>!;dvw`9^F~$}
z6nDlfP{)JilZduWyk+(_=C{#9&|Pqu%@mZO6{sQl7ku#MWk}si>;JnP(!gtjo%XAh
z8b#cDh}}TuUr_`~y81r|Vhqz%17c>n2iwZoKqp@3tD2vW;dV4JV(l`&Ig}jMG>Wo8
zzr|!cfAN*|C#DEP{2%UmpmwC!*rZ^bOg}Is_8AHjhbaDnWfzDSyEunieQYSy!Pzcj
z>3dF8bAJ72OKh1j<sHxArm@4<MG=ugOyiMBYRoRJRqfBjmnJU!oDN}aq?Boib~jO&
z16@ZLofX=bUm|1P<6aimL${;hgfR~KLcfF^vb|hpxzQ_#{(I1uq6}7f5p9e(#O88`
zCK?7<C7w<mkY_5U^Rf5?DSM%UpksyGS6c(8ZbY*qAk@4brZ802lX~@$%sh|zNU55>
z6DXAZkze6!TO6cfQpYuD2_ScyBTm$8tO*-4aZ-Jq`;dmxNkHjG`5R4^MPY_9_4)k7
zt&X1R5}YXJ8A0Q*wfOFn7lHxdhd^jAK5Ck5UQ?55rtM~>XU@iIL+s@!X2MpT`pl5d
zvyd9SxUZbz`58E3O}?Uh!NuJa+~4t4j{s4D4dv}pjp}-{TLv+>w)or2eQM+I?jI(G
zv`fW{s0`#lQB!R-NwJnT$tXMs5+0nl*&6X(?hAXggFVdRNe`o6NInNUI5uM7_4~s}
zlRd)xe_pi+P(hzb#u8g&gxbS_Q+3ZMNOZYceq)G0dpn^4K%-X|qK`lpF|fg%^aZN6
zZTOo>2{R<rYTK60p+ieGB0J<EOx5v2a_gX-KpJW=Ei}c@TzCUqAJr<9&N2bJ-2pNF
zl-;-|WtU=U^=QmxCmgj2SxSxW7|Psv?^5+0AF6wJw$mmM`whd<j1;-y9_NX5^zStV
zs%{3jm7*FqtbUZYu3sO{8hb{nKe13`DZty7eZlCpYjHgtqV*wAREn0}xHTjE2-WYa
zOVxaX;35~G>DV5!f%9yf50%+-6$>qZ*hld#flO#>5<s`;biq;4+-IN58HU41g~3IJ
z@6>M0)iPq43mcfx>XO#L;rF|Na4#?466`yXU}GM%iX=5NL_2y^E7LX+X#>xVkhGkZ
z5AOPncIm0cjvK5rxHoii9}0ZfzieP^@N#UqM0-lcZmQY+$nC(u+*5q>u0~x2oX;gc
zzC1*-G^3SC2pBRpX6$k&EY&!uj2D>}|0`2@StOsiJ4O?UVqtm~t8^z0Ia`frkw3tY
zAZRnR6Ec5Zn?kgu^?|!VYc^W8C3z!}eQ4g)N19rkj0fR5q?cpJ@kMJL$$Y!vT3^dN
zvN_$aRM@^sX9*s4$M=fM<3EqOG*m|3t3_$UH%N=kXvissN<NI<9YG<%*9Jd5->f5m
zkFVXZuh5^;a(C4BtwGv*eh913|5sAiOzs1Bp1(E152?`^tuR5d6!V0S_r0rlvzCxF
z?VQVqk0D1~1;f#-p<z)k{yZHx`fb`PnsMqt-00R{SObFLP+24)9roa?CAU(loa^gs
z$)A=nR<nqbUpt1Gi440>E%)iQaTp1pbsI#oEX%u(pfMPkfyx18Y30KACt@kj!*~#{
z4#4`)VUp8WNEXe~#1@umeoF9~KD*=txB?lj49U~9|0DM}d8c%{^VDVCxT0-yZ5JvX
zIY39V0bDb3_SJR{OnQnq8hENP0HB4I_xRySZ~`&>3*3-$>H(L0eNJ7w=z_se5zp6Q
zZ=!IO(rUhU#iyw9^`HM1*pnRQ(1~tpM)^{oj=gJ(yF$S`roV`yiqt<sn~_2uFZskr
zU{8$mU9&QJiW9dGyRZ{Os4+@ebCWe{0CG4^#>6XWSo~UZ(*d$zy_n{^@o(SlbT7Pt
z9(Ph9x>D)B4odL;xSFa8pEbgix>1gC>U>a2tA?1(`wZ8pD**m$mHGnI+5ld>$4WQw
zL|-I7QbB@D72*13M`9M7N+pAjhA|3TN<G-p^D5k7c=!EDSUUpEmshZA9U8dmzEt6s
zI9C&_-EJYBdsvArAhn|=4JR5tn~FYBp6qs!S&S=MZGy-e`mI{9?K@`I08?H$d%t|D
zK@a<{f(Yyoa~#t`&9^<10<Czxc74>ChmlkklVo#LST$0w>-nFiwj(N%g^FFEK9~Hi
zp3yHDbulZ`dfV?FsmPVCH8?K(*SC>m;7_I`2&lHaS*xXG)eSM+6CxF`H#_kk!U|U`
zUFKFZ%j;lseQO5CxzPKoq$r#HlN^rZ8-hHun^r3agxmJFA75ImUtIPgI2Yw&m!<b!
zAsTxXNPsKFuZMQRIQ1yk50}RqKGTEOO$I}Pkic<_U2(noQs~N7yC&XxJMD4I6?q++
zNFih%QFVx=yK`Mrm6ub^pd(F%%a%xCE3d3UXXER~wt(45f1XoW`#_Ic9r6N#Pd$2N
zH1lcE2WvJDe~HLT8fT^GM&na4)s6T<Pn+jdzBDfmhh5!~j@NqiHM(pSvMkhy$&%{v
zE1WIIz&l(b)669heu#Auw2H$wEY%M8J!>K=MgT{-F^M(|-K5wdtE<iRS5M=B^A6oR
zVoob`!n9NTlQ9cac*c8#ue%0D)E4!x1DcV4pXzi6{ZR>sWmW2>axezC7&r7JF{<rD
zr(-R%C${~h54X2kCU|rS8K9+*a?A>4f*{K0%(?%l!1yHCY2tw*Y{8PbV@*B$0dDDq
zEp3WQ5`Jvk%dA)Iew?hibrZ_O@v`yLul;Vt?+YjqDT>NfByBR#KI+N1%5*I>qYc&U
z+&IJ>nX}pV@yisc4-0FMd<K`-)!2vfiL`;6!M*$fkhlZlW7}CN=H_lCgG`OvCHgk+
z52#JC<O1W3&bcpS;g29u>62Xxaab4l)=y2!jU^q8GIp8Y{h&m2rH5!!cTJB(WrDqe
z_8^4#eQB?60Stgh2LJ@$55F;egj(74x{%K?*|&P`cS`&HB4o)<@}razxygDX{X2od
z4lDN=mh8LDYm;1#i@H+v2Xm-ekU?iYN^@0mT-z;)&+o*&rClQbWKl}P>thDmVRb2g
zM#O96An+si8ya#ivM~f_zCEa#9Y(I$e|d#}j`WckaA?rxhdXSk|1tpq0GgOf{9l|8
zg%S#a)=$Tmq`owfOqwWXGsIx**@%d+4A{Uas)NT!z}#DC-zo^xpKBI1l^N6jGuzB}
z{Jz0gVT!QzA4>puZ^+2)d|UFB6)V*y{kM_t8F<R;h1ui@xi?5t0ckX~6UTh^bDWmm
zr$@t86g0IR;0&o(5Az2SWSIzrGqw}82D1CcRk%JLc5A;PK4z!YxO#KnsV&16JTeHi
z#5&MqA5S@?N|fQTmo-^vK-W)1p1d3WnYE6%ub}Tv*mT|D;MUe)yY!k7;ND=-05WZ@
zkAa|M+C?7K<2MD0Qz9P6v>LnJTlsw;$NkAhatHJwKbt#ZGuad%yk}jrd9XiA!iT>c
z6}vsHGBNmIY8&d-<lLn3)Jeno*gm=@6~W!eh2FjgM<z{`o+7k@S$zqhoE6DQtah&8
zPkrCQelqBvpY*L?|8jVJ^-yDWi21d|)p5F`KbFaT$-iipNb~)BiNF6j^>+Ow4+!s{
zy8Cp#>d@vczid1x(U*~U_V<;}tI(khm9|3v0*``cl26`m%cT8I=th%5#-Mu#+x#El
ztZrc<(z?`fNw{h4#87$afOiP`tDqU-A~hIB$yIlJq_epm$FUuLNHn%La<xbcY7PYv
z&B)d$l=<=s;|APBwygF8I8$p;n6M631ha12v4(~Yf+(7E>E2*R3;=9~aCmF<f8Rie
zINbaW&_OMSPgE8i33N@-n2go%xwpr2by@JB34M;AsJ9?YD;r#2Bl$=}+xTh+)|bct
zWnpib%qWCzCy7jl%Fo;B)ZHwPt=Wd@^XqsIE%n2;K3J2%>w>f9|6LbP<>V=On-PyY
z870aa?T}2tpvLz6^y3_Qm#5M+O`~CJP6Ll+w1iq%;|_MFIvW5ar(i}R!Yk!E^gsxO
zNc~Sz(vz)OB8`uazMOY2?Ux;vyDQo}mMb>h?(UP%fE7tg#B^2(hIEM_oXQ(r=NlKg
zto|ejBxHV~;1j?ZrB2|(@;9y<$mfih=Qv|Y8;H`U9Sm{69EgkuQ<-gzD@GduB}3$l
zBxANjy~z4Y;ZIWEM<Aj5<3;nxLHX#u-}I#@mU%DN*6H7VYoT8M?ICqV-e{}b{EU~<
zv>RK{cClP2<1lcu|77{AwtyO2`k-ACw`D#h7X{equ@P+W`sui&z@t%6ux^wgzj)7j
zzprlSxZ2v_Ua?ec$jMr`{=WVFk4>)A_sn?$CAly}OT-;H?bdv#vdqwhb=;zT9-uzC
zp4P;ZQKMghsK+(ZZ{fa@W9<_m;C|@LAhmFKr>m0-;yGH#Cl#BIfBuTxK3aVvwQsT)
zXcS$lb(5`8klgy0MID5|Yjy$=JJVR*rpI<tJnjrVYKJ<f_Ad+}yDtAHqa;g60Z1t<
zt|<X!+8A_lu&>_rn=BU3!G^A%MU!0b&l<`;r1TvAv!sZVy+f$}M)B7A1>bN{NWk~f
z+lHFy{yJ63DFNq3ElfEY>#WMd($}zcGZ40Ju9%N0|KGI?B?Qi8-uL6!+2V}jccdnp
z-r*XKfhp?(q?d0xfky{QkW~j?ObPn!9<X}fS>9hT!&Z)eKRXg#mv{Yt7V->Y##-QU
zpGUVfR6M0Q=d>_hCMs!n2)1B=?7;RNz2o*>{YV6GACYq8^zd+&f!{CcyVT^l+2VhO
zsR#sOac3T8&`6U9MRkryNXxOqt;6WxP8f~}T6WHeS=ZIh3djIGCzT4?-@2`)h=3B^
z1sFepgYKs{jMdIKdrk&EJ2-cmIa|}!uu+(Ujcnw~Woc?gdnOjNB(vT=np`RWL>Ik$
zal~Q^?^9}gu_|~XJ=hab+XEG+Hr2^u(dX}<c|MLaUgj2puKMR&kPzgYOz!$`7W<u^
zFO^xVUp{T@2YwyOY7NLdcJc2h5jOM*ZmE8!R8C0@slYCu<FB%>Ubnq;5<%%#2Vfzr
zApy{p_kSON*<5HlP7GxC;s}(#ed%QeE`!~^I#{d&)Kv{4<_@Fb*LwiTnsQu%d#3aN
zKNb<WLqpncdufoeI`t)DW5xATG2SvMKG*j+rOtZ}=j`Hk05KrQ1c3fPUJ;ik*G0f(
z)`JP%bU+~6V;nh7AO-5BQE{EcsF9~{f&=i0cB833VaWR_!y^mWWaL1g(K_48$`{F#
z#nX441UxaO!2=LSJxqwbh@WnC+XwdCpJ62KTAs=0ACR#CJ@y0>K;RWAa0c~OlOPHk
zB$c6eH4fsINMD;DRC>Akqy1^!GdGHkQ$-!aNm14TkDde*S4^$W=#`2ZfhcKk_scVe
zlOSIZl$@&PBK`CGC#Lt^L5P<z`NqAW(g;pSolioxN;JIn3U200<6a*|bCjy<hj2*b
z^ktXH87m7=C?z1kj#yr2y9I0wb>I0JC;~ov|9)i~h6GIi36h!W8jGOe!1um|yALj8
zEZ>gRtqo1LlGUkR&_rywU=Ajj>JWM&23LpK96GHA<DeiwKCZXUBh@>C8wl77lY@nt
z|I^-E26dUfVZ-nv1Q8_^Bm^WCX^|8}1q4Y&0clW>PDx2Ykw&@%q`SLAx+JARQc93U
z1mE*^cU^b)`SgBxW}cb<&hNuLD|5#c=XKU`9QoM+)HjZS+EL(>2XR@EZU@N~S1i7g
zq{Sy2f`O%vvfnr3QwYa!w`B$jmuuFpQE+ciGFXbohs0*a+*G(jE5Crbao-vAKTh3(
zLfjg|Px1mNx-wl&>}&DtN2=7}g|RM>=>g6+FXt%wda211RCY9`Zdbec=uV)92iWW5
zIDb^IKO6u0Aktob#eHSKo4832fRU;t&U>Df?cxon;e>pN$NRc=v8VAav4U~Ci!^yG
znHsW@(bOq<fJ*nH+f?`X%h9?;a<3Vonko%u#m(Hg`GubEY{qO8?F!LUSB#`J*%kB}
zn~t(HFEaB!8SudgL32YeZV-#ug%Sg|x7Iipl>3IEtsq?a$cHp2^pnXdkTRZCr6T6^
zT!f;+msqw94=m*`Lm9MpUwVDo#vZS_x8<z<ttng3W&Q<L=0Z#L1KkvR;j7m%^O7^O
z5)hm5%L{$WiMnyLBxmoAX!DL*PJya+8D0_IG~lI^`!w-uF_Qbl#<|}8C_G1#dKSz4
zu&kfGvy;d!=Ol5KI0FhxLJQC#P}G+;)5_{~0x9S$wlHPIWklAj_WL}0zY(h>>%b1k
zKaiEy0Thyy_eNplf{Jl2m&~cuk2NQ7AMZ^kuY|qyV|i4`cRgECfHJl!KJ%sQOEK{E
zpincx+V6T*Iv#|Xfya4go$ct`(S`=U7^yzByi5&-J>8&8XN2(Eb-6bxbAeO&3aJv#
z#j+H<t?dFuhJF`W#%msNK63RrDnHqF1*Ru3291z`_9jD6_+IAzt8tq#6TRaJ=s18J
z$0nl84Yg{9(<C(#2(@lF!Zg{nb?}<bKTk}+#;aCSgV8<#X4L(}8Cea+=SuggjJXED
zTl^lk#6b5cH}=Q(1G6FL;B?Nb*Q0doHeYm~y<bd+!jb}`t7Ybg9VUo^-jG-UYvv>E
zC45o^li|F2>^BKmd~53>*CGwG4nC^T)xJVSnA2!xr)^+nwry}d3^$_}BMmD|i_4Ur
z;Dejd20~la9&my>L-HrPuKon|_x;&`+CwMN+q<`yfkNXWLtQMc)>*TNbu5;8jl0L;
z9hPCNhuz}da{VANdhT+MChr4V`l}SFh2dTA9&Nd>rEMsEdQz*2Jx=A+?dtO-K$edb
z@#=$s5Kb0#C%pY-9S8uMDhMq^Jce$T)qe3hy9y5COvRk<tNn7b{(g=*Unr%SO!Ma=
zOW1Wbxys8OmTNF9`|n{tzdX6f>`pKcf)m1lzFNvt30O_<WbQD=;MxmuAX$${R$s35
zRLU-Jth!}dK2IXd4=ohx2Wqv>LIp!Pn+6@`t07&1z#07l0X634s6En-o1-BQTLj(t
z&++c33mgv}7b2flJ&7<gz_g(!ww)QrnU<)1X>Tay(j{JP+34LsnFI@zRvvLDuRTp8
z@s4%%oVvc8me|l%W|Ys=kQtlv$(F{9$?yIC-qh2lc+57Rhb<QNIB)HJ9)2_7+P1iC
z5&9{sUw<THLr4o89OxXDt9<GE;K`|7KYF_C`K&iHPC1sZBrbS~+#}xLBLsx<)iLzx
zitoVD^0m$1A%BZDxJ;31)*Dr2))aTp#XIGDRy^c*x3m`W-#hrc;{@gJFH@kbl#h4E
z%+}dQb)-lh_%F3}8cJ#Seo=O5!QLUynk;h|P3W15+8HWUtz}JnWW)hm_oXDPDUNj?
z@lXX6W{u7sdBu~DnzZ%~oliejS2ZlYb<n3g-J;aEE~2e4DAN-s_%UPq`V0<fohP*g
zCMv?QR%Jr3adY2QePV^YM7-07ojbM%+(82W)YpAYhic~tpWr{l+?1%B70t6+hqk1>
zF5cdqG?q$GroIEcAeGiDC17))N)=9;Le=Q?X14P>aFYOh-K9O`vem)^K3pp`I2`8U
zlh?Sb<r?&_NmP+df+(a(_~ACWTq4OK)xAu~#*@@nq*8k&lG?xc)%v(rJ58)Tx8^G_
z=`U$y#P<nFA2Q&<ew2-#mItn%DHwvqSA`Cj^-+k(*%<34>yvNWOMFRhAqB{zMp_qB
zAW;T=2o|aLw$?=~qGcGi(h>tSN}er!F&SO`SezNo<RriMB~3HOK~ILLs&G+E@NSvq
zV)F<Yu13(4>!OkdQ&~b6%U(M?9FWTM-YdUrY5PnPQ?w4(c(Q7wPofJzhXEA4IY7Dd
zzF;Oh4a-LSD^VYC#7FNHd_)@~&G!%Qva=V|J9nr^wJ(L}T81?W*WqaOmGSOn81f3b
zs2f=~%8@s-U0Cq=sfW#u8rHcoB#)LmRpmT0?j`;7Q%3G$Zp>7gbK>K@>m?6oC&qY8
zN_%n+rPUu0_R>{1Vu!uCnZk=U2q@%Me26&4%@x_PWL(z?5Q<<K-ih~@kS$e)+6T~-
zG`*|Q@r6q!K(ufDt;x)pINiTX`vd=?D3_7*UFocLafgpp>0Acy?BX)H%5Os8GT?z$
zqE;1>{Sx|DV(k|qJ*gZnsf4@RriaNzWCE29PaodtJ8Z7y@1rIWLTC~kht#(=AVwYx
zCjJpQ|L*W(M8{NonPfe^MOp7;nCx>lBi?K$gHfLw4>T($f~jxVKg`Ws8OZ5>XWtTq
zGfh4E;4Zi%Nl19Sy*4;^pK;nk)cn@$ypSMg0cRih4OMOc0ITcQrd617Yv2iGBSSgl
z++9#Kq@^XeSl4$RuU_OB{54=w?vrq9y*xBMVcVjaihtba>?MH?$9m<7_LCovbbwym
zo=eK7+T3_%Ktb*Tx4yiwFh6)$gzUFxHE8>%#u%C9)ebUwa#Tu8ANgER9pF$A#eV2u
zfj*!w7C(+SOk)>5I?fW)gy2-(+<5DX(et#%et+n!BDyChPjDVutTr*(!RfO+Y0oYb
zez1CY*H*!b&@Hge``istT&O`mw`=P!b5pZuI%llr@r7Y?3;duftnaO0#>7~v&prpg
zL+!|cRSNt~M`*jN;o!3zlx^e`MI<LUf`X?MhDvDIzjBHvst6R$=7$ba1#?w5lbt_T
zYwM9Cv4SLyCBd#S*sESkHzd%aJ4tIe^T~I+*pP(p3HVOhSH3^e#qf$dT79a`xU_M2
zXLQPq)?~Q|6X$a|vs-l9<<}xaD2Ydv-cy#qJJbzSmXm=A)?>v+o;M1`o-@`@;qct1
zO*n_=DkQ+2q6Ij!O`E~ddM&95gaig;GFPF3g{z3iM1~e_n6?+h8#|KuSp$<JKVDK<
zU~PA0AmcWk)JN7Gk|-YI(Jbwz<NH!WEMGghiMXY*Ikc?F{nET)U;iqI>xH9zdb?gW
zd-?}?KAgI|CZlItt|n+aYVqL7Un3jQ{93iu?c;H-t<^SuwOc-W(cLvR(@|b2jy6yb
zRbq>F^iD-`y|734JHOpZcIm$8$~QhlL)1Wyz$21@$D>?lZ(2#i{$&rwX+E^34iz1C
zV#Z<O2$6HKx8I)>nBhKk$wUbRijGr(WIt=>Yl9>aP&*a(&`Rd}s@+m060!J60YZdV
zLHkytFm0;-#OcYzN1nKvGIqARf>|fTk77%HEG?`HJzlcS%<VTC$K-HNsz~lPx>F2c
z$H^Fo3*4q?@Yz=|RZ5K8zMM6_sVzj9=aG9BM4pNjwmCjY4p&*U1u+b7i~F7@{4yg!
z_G4E*cwOXCT#`U5Ke~_-|DBxEVl=6k-@{#iv{kv~5E>B~mSbx#f4^17*I8fi8cZ=U
z8{UqT{Vnk+h;TIC2w`p5Grl4@@lq&`qyeiszvAOv*%-dB6)QQn#nxemfPb^q!Cu?x
zO+~UE==GHNe$35+DfF*#xYqTGjc_pIf~R0AJ*gB%q^++jmHP1>0K9=e;-uT{u?y|B
ztW&1xs*9Dm1qvjxk@-bBcy&bq()e6!=xLB&`rTL~V(VCp+EcGVi0cM``s_r<Uc=f^
zqYa-Pvstg+3u;UT>B^VMYQk~8jwd#ULM|~NI~{SKX$gq5+I(wy=5w)A*<8QAM!4WP
zbM8}(v>n&+T~B<T{S5-2z3|%aFRT4QhEG~dEs>ufnNn1PJ|b*A6I9<@#3=n6(BI2M
zhb^eHF6h4c3N2?Ndd|>?qQySL`MCK5-nlz|<S%)HFPqCke02kGac*V8O(s_rBK736
z%Wc2DVx{;(vA0+Ae0QRB-r3mo$+B(Z0=}|)OBb0^V{iMi>TTByHdNCsIEt0OgfvHr
zp;8}G4WauK0|_~s6!FOw@TM7Ml4Oh<Sf*5f;0yo+cJRu>rIFH3Ckno7KhnY6Rtp`*
zAAAM}&9vKUeWtl{GsbH<jik}a2Tz!CWiD4~H)8WdF0#KIF~i;T-Jc7Y?$MXU<gj39
z5Fwfr#@$p$ql<1V^IeTO8&<?^Qh{@4DyS`vgSbw@2$Q43{!7)C?B)+pSpRBDx|p)n
zbA!6LQ&jncM-yL3*Qo_=17$)5!`*@r#}cE_97a~N$%=zyc8!^-ZhV_&J)bm<V(o`A
z<l7ZIc>$!3qNgc(pV$0MqKU)jzBf%vQJ_Pa)gJL^qBigg6_FC*;ZQ><!Q{{x3Lala
z>6)zCg!874Bfp(~ka#oGvYr_1<3_0j##y&zLXj2~tgtp32gyXeYTN|v{F5J#L&hCe
zvSX<k&0`kM-dKE%HVIXxviCP1h^c;-;%vBM<uS;*)_W!JeT@MJdJ%*rV(8y<vWH(_
z;YmyfBN}dn*8MY0KK6q?^m>`}mSx+(lpO<}0m35`+S8nBPfC2ksC#o{Evn>>VM_I>
zVNcI5T_M}aGOs+aA_zW|kP*3W`~NJ(aUvGg=JvI>+qfIvM~IB$$EQ|e*AtGm8}Qg;
zAhNC2q~<jphhWC*9UmM{Riq4e1HcybRi;MWizKe|Sg}02KBG)-oWW~8T?bMi0=q%;
z(BtGDsFXxl7x7v$F^<2}cU8(!9gWGbMe2CX%%yQunzJhSc%}BZWAp2a5^oj^#`@#N
zEc_DdS|C(mMC~Jef-<8y2wfiLhr0v!y0&`57##rgz&To=nu%e^=4vFIk%y&Fbt<4U
zQDFNt`(-2!)j{IW)mMfBOT^RGg87mx4orkMX$7hBiT2O9>|<1XyxxwZeM>f_1|#`~
z{veAT?7Nf4BnGau@<OQ3s;Im9;p;##Vh5b|&Dql9>9<ewd)THJFRpYrT=sG+1<M8g
zd%<AEGElJ89)DwY=ZUlG=Er=o>u-M30d_WDvCN@Fp8sBQxW>1|8$Z0ZuCA%J0V5zW
zA-N#O?vsvs9O+Yd&X?cSwcTW$#q#TH791TqRL*B{iu&C3n)Dfu_;B_^-l!&#u2d3?
zr|x;9XWbf*9#y`*TXbz_+@M6I+9Epp#Dd+lr-j<(`n%Ypu8K20xr81KGe-ED7cPlA
z!-v_E-VHeg=99td$~8j5*9>*b5zv^4bhAqqU2$$*@TOFqu)+zSUmC_-*LK+qjtdO<
zfNv{t@@;4qNmLA)AEh=O%l15uRi4rv=^;B|D-Yd*@V}TcR;`t?!@7P%GV6u&aH?gK
zJWvLY<~7cM4mvI&s5`c~iTP;GJ8nk5#XzrP3cgr>^F>40r35m=G+KgiG-2Zs5g(=L
zPYN=kfg8`ojnxy35={0vze*Ja&j|*ScG%4D*6zQw{+c>wCYQ|a9K(OU>H^Ctx*F2V
z*3~`NBW#?uq&~gV?ZbIwtc}e%h?ZjBd;eZbyj88v^i!1;W%pxLmV}fp%c?c~Onco$
zLEv&*o0eT}!WJ#lWZiMm?4e?tjN8Qt&uP@rf-mn>)Ikb9JMU2jDdb^%38p*VIqemi
zc@?#hiuE~KZdmu$aBnjBxfe5?`=;m#@DB9J{SDc-bhKeXnVKT`)}m?7Z8vR0FN(<U
zv%zp%<X=)i@@+J(U*?I~^#|C+r%{|mT&Gmge81`1VR11FAtB5N9k2xml^FgG5}6hR
zdV#Mmc+w5>Qw&X%K0S_TX?(>ADRbZYCUdHm#2g4r3lN&7F^|ETKa=V|s{vT(3eo4?
zaCu)+Ej$~u8QXmQ3Z3H=OP}|Tn3l@;95I>}*bG*u)F!<CXv9OZ$&o}Hy*`A)m`o%e
zuUAkKA7<FLcwY$U{BERECT-@M!it&~o%R$Fp652|dWbngfb2q`WNfM-w8$A`F#<3~
z;+=pL{Di0YWL!yle(5&%h_s%w+FZ(ir)e{y3+`Oz0r$4rV9YxeaMW6b(9g27efSrK
z{X~D+&Do0+S9ro{cSEsUcsOG^IMdi+2C5+T?#8pRRx!t{Iar{W!6hbMVRt#eqhLxA
zt^vkDILSF#<UW*x++o3+`+w!`fJlkJfYw+N%`>Z=NhZ(fIc`J9NMGSy^sL1U$5{NX
z2bk@C0MATdI}^uENhVD$<V(=yB>EZs@S*5j1MwIM{naGPO2Vkzzd=s>XD|b^jFSrs
zHp^zbuMF$ttCpJHP?L@NHsiw%M1vHnPrmPe<(+uekINKO$Iy_giatfbQ&MGl_Z6bP
z0X<NcQyNdJf(VZ_eW%@%C{SLHo~Hy}5n!_4%XG-0e2E+=$#-1SI?g-ai#6*$KbEBZ
zSXPE;(Kw}Kop71-f^4csYKh1PehOCsB=Dg_&qnX2bF@~!ggH!X45X<%AmA|ceSx>O
zUPGy|{$d7ruTTB*4k8#J0+J}cl)<i1b^egG1=z*D4>6IKht63+(CF3fao~`1iyY~I
zJIjv#-7o)W=HR+zyM&JXyBoP*tnp3TMq=*)I#~Lsk5GN9?e6sToZH>Ij>w7=VS(67
znX&z{AnJ49kE5v{6M%~`Sx9j^$Rc?icf6en?WFoYj*qexJx^a4#~OV|5dB^;Q|25A
zY>S`O?z^Ed1@D>2?Vu_{a+X|Ezdzy8D23M-w$IM!I?-Q_cXu_Hq9|2y)iMIFAxl9S
z&ZB(k5Cwls8|Vx~U^md;79ivNWxSjPJBI{E(HhzwZ5BEs6*ECtN<*FPga0kBWg<9j
z)peK=G&2jPGMd`bbG3JFoXtce9Xg_PzJ>X`L99I3{`SIBM<g9q2^QWW%?QaAWjZ;F
zB1#a5RY6tvlg%_Tahr2(gHfkyasgG6d@^hjAo#s2rjWPlD?k$@X1LE3zsPK@$PADP
zc{NOFjA(Z5=Y)iTk(5=57M|Vls$6;+<f6tHCn8N&oOKUbbMA;Go^t~!3WBUt4G$E=
z<g_5E{Tbqjub#$?;FKaXsVhS=J1uhn>nioe<Tf1N_k1ah6OnKy5qAzbX20hv^}w2W
z#H2+Y!TRR4R}(-06=|Hl-WSi+IVpZ_j7n_D4<pnkrUXstyt7ja9eGcDovfL020{(N
zj!Jhf?D@Dqkc%@HR0kgO)bn+r^*81<z(Knmf7AUsll=?=K|tNPVEsVZvNu7@X4z{a
zqmMy)I!x6x|I&w5jMe@sXt}W;oJoDixUKfkO9BhbocCKau41P`n_<2D4+X5|hkEC<
z6MCCjJ}`)qkncl9H#x_nxB9gPJsYdYE0VyWBIA(jIEwkV`}e_^^&v)(ig%D%2F1t0
zu32+EW(?ZTK7g8~y3Ghfr*sJ8M(Cq}k)6Gb#xr{nJvq+-fY78N_0EFto<ci2K8mle
zMRpF@;QYFzgAx~+aVgbdpIjnCNhnf=zDZ|Pl)-+SA@+Xr%r&FC5pr4Y9TgcBxtw(F
zsFHQI#v~-a#nsKa+3}9h$^!vPKrQnkQp>Dbin6?g%5Q%Hz@On2=e^1)hAd(=L@E)Q
zpI%Kwu$l}HFJu*V7x=Kb@{2u&!pYUNq$jetEJq8`7i>qpE;ux5fQwY7x3j#EUcG>G
zWq~mp(%LbDKCpi#apNDq$!&emU#G8h{LYLMC)n#&iU_m2=$^Q5^RS1ERO)?oT^Q86
z(GWBlOlfxIkYfT)Y8&8b$}hovpnmq@re4kL7Vv`zLk%ax7%zAoASsUhGQ9UTq3Jf@
ziYwBIggebFsh3`-`ndV}k8vyIX&2|Cok^^9zT>@;vAoVb!TFFxfBxpJepzsDs3e9Y
ztQ*{CWz8ZN<6N8p)<lO@VY^P%_EkYh$^RBE>_ST#*LJb2ZzwIGmAiZXs#$V%X+8tm
zeS?$DG*v;EseDojO*h}gbVZL^{d6LKRj+Rl*g=c@!~;Pf3Kd-kfE<X9N#mA?k_$VQ
zRdWB3XJUM5TvEkvwUBpY2HI!x!V)a(`;gPMQ}LoCj(Auuc}~T);c)%=$E3DTA(_`m
z>j3xM3>6@K{Kzhnnn^sP4s|r7^>j5tH~clhG5A@L+u(Dy(=GM{C>41uu9SNR_NK$I
zrxS_Hi<6*56Upk<=y8|m)}@Cik->-k0=~#dp!s>fFYZVi0`{v=>spKxr-7xDsg3?c
zFJzQ_t$DSN*4d|3J2dXJ>Ybi@29n>CXNpLY5%eF(f8>|1>|NV-`GNzfwv~Y%;l$cK
zcloEW3x-{un-Hpk<WZCjs1}|*IW5Y%6;lP8;WnYHWopo_1#gJ<^9>^j(zth>OVP?K
zm&{&9@*a?Dy)d}w)Zr130>&i}8x|&aeEMBnB5>ZA6tmLI-_C5LDcv||lOtdPcqJon
zFMnSI#Nt$nOmsV~g)o4G0+!C4c}nl6Zu%h}9k;VpdkM-1LV(CXgv=VGldW#Yub`js
zrQ#0?zt9oRx<$q6r!k-LltlJc&%;mScnH3LCIC|!x6~-A<zku<3>MKv`AX4+cLuLT
z@Nwc*Jn<>?@ImPgJVv{G4Tq)Vuz;+iqji@6a>;=+rbS5Qqqj{F%}4{7y_w`<r3bEb
zEKSwcGC+cjtl=h;;hlpKI#-M1z}sj1#)J>l{GMN~jdaM_?9i<Kvv1;Op9bzUQRTZR
z*<xHMvCQ5$p1o0GJfd@r9gw5|47Iz$g8gM6J@{=wQ?JYMqKkth`(xY&^0mtKnpk@%
zdljIsf<<LLA@n^{^Qc`#TrA)`XM+^;8!43M1?Mu8P70g5rw_DcKPBy`o$IdtAb~iG
zKYxFhGM$i;g?KpRe21b$QevIIEoob2onTC0j|*#iF^NcBVX~d<u>0mgEK5_<3v=xR
zbqU+G(a@d7;jp!3z!-whFrnggiWUux313q5<^w3LHOiLHp_c-riJ#^}mi<<>psoKi
z(bETSIve;0tsWvS{!iTFPXMkBN(Do0)mDC1E)Ffz3b$@W%Eik8SU^h4hIVZ7S2S!V
ztVuG$J0YGY@CpygUvZPmyq-mS(`o(p7~GiExM5YmXRZbmaS_~O>#HI~jkre)9}1On
z4dPs=Y;MZhMZMvUMdj8WSMcrt63@;7__*KSD(t71-O<qK2~Cv0_2<~Y2>nHcQ+)}S
z#sPw08=I`Jz3WB&vUBghbQ@yfobb~j<F`zDTTs}0PDzau_|uh(jj<-7_66AENRz<T
z?adDMT=mL^F&#h_Qvq>cHgEI0s0;3wn=>9?N$D9UNXy&fF%oAnUGaaGB~!LQr>(j)
zb@av7Vyqk*>Sq^}BGVT$?us)1Rr-e`u?@EsOMstRomB<}Oo+CkN0U(70+6Hxm#S|a
z6uFZ~>k^_Rj)XxJlZDx)V-gNLoGWYRfZ*tsCbKUCg8w~bi@U3H_ep?AllK&z|HiIl
zOU}vN%$LF7O#E|BG>{gE_3HlCekOB>J*J<32e@h<rjK?0z#3$j+M*w0t!I}`euIPy
zvLjlGd@l0dJNPnD2}>a=+x;?V@Wi$H-zjQj)_InjjV`?X;kGWitSHy>1JCWxU)z1y
zXOcVDXx`TQLuNSustPxDusP4p;sxHd7g9=>zYm5BfyMr8mX(EI;E%69Z|3DRm?TM@
z;wj1VhLxAge$@kDAE$R!b@*D?&~h|uYeJ`>(5F1^Gj{b5Thp?QA%94WG8;lw4e55E
zQ;%0pB7M8yDv}5;iOsYdwRB7?)6%KkRz0PfsfWy61s&XO{XroER-u^wY`=vO*0=+s
z;DUj#)Px;DdH%LM%CSJ>jXV1n$39xz(?n-WM6E0D*%MxRh*~{kY~;jw+4IJQG7%<d
zn?LX^`P9Oy@Wgq`M^jnBrQ&G!!RTB|q<j5XzV(XYj3ojxE1JUCrJ#wq$853??~5PZ
z%VjKGc77|r^Qwxo?MQuu0@-d=xz&2rtbb;1WsY?;5C3_a1h$B7aEn)&0|GlH8tik3
z{L~I$ef;^8$HCm^(VaS4Ri(W><3np8%)eiuuStGj+0+YP;p=q3=Fw(!iZ<{$YIpNe
z$<*9(_$I;?nVlRHLnyLGHJPd8JjfnAzjqCNSm!Am>tSA&zpRF6`~rkoM&0tPuSISW
zlr22RGr#GZavs~Fz0R$PL)!1RJ{M7%$MC0DU){&|5^=^|ovg5SJ|X|CdW<L_fuaPP
z<*&De*AC=CH*pW)5qO9|y8rpR#0buD)3Z`;#ee?`fm;zcw5fiwNK@0_@AvcC+Y3Ak
z&Iwk(hyVT;Q5qAtp+Ta8*njV*gCInuZKWO~2+@E3BoJ3+^z(z?KktvH#z!Fa>;8#8
z<^R4$ACMo!{O_}V4(9(uv*kua4?yf}+Ng&XekHH#Af5B~*2+LKZadwE8nl5#=-f$d
z62eF;%>B2wnBPY@eGj{o)N8=<_n$)%S1f)AHeC&r3mro5fVT~xpvI?b?e1p5-+SyN
z%>(1}7)}}yk^6xIw}ZPe+X;4I$n46QzM}eo>$RAC%r2j659@QC#~x+f<6riM#OrM8
zRcymXz3)7mEdC-gzx)Vr?a!V<uOZpo3HUTzDoW&dgT9NY1sEju`&t(l+7rPs0)yU}
z-7g|aLyalTR$=;VN5A&YCTBv%VNw2w{91pDrnT-*x{SY;{-wt#>khjwQ585Lg6K*?
zI1<VpL4C4#1O)Cydye$ddzQ<nVZ8^gjYEOIZ@-gB%iG0qEWewWn<8}~^cNDTzMiRn
z8NnS%X@6d3r}9aRFXfKWLrK*H<z~$zvdn)Fe#pR<{umMujb8VNIm*x93wWa9tS#Hs
zBHn;y-t^i>w1SlJp&!&0|Jw1t_1Dc1i*Qy5=3j23?F;-QFSO>hPpk-RDt{+~>=9t*
z`eE)!xDdL6FQYrY_&xnr+6y)#H%w8#CYT0gk8IjSiuf;L@dP+$Uw-z(dYIJc|MvB7
zHc$l9^0vqr%{&yVe>pL~3`Xl!@MEt}p;<#@{@ZPl>p%*yJ>{RWG=9DRuZvA-IOKYG
zMJ9fq&_7;&?iCEEDPJb!?f#mXKQG*_BV_Gc`0{)Iei99;95Sgf6y3{We-GB552NXU
zHN54BF;M;6==?EEzsfrQ`>g-}vn4Vy{wxuh;=2)b4KMKkF42Vv1T#0Dv<4Ezrl&Ce
zwk+faU@CmR?HX**23n)&?)b;>S?CORfx+N09k&C?-)CROM>a`WlsAwrLCDEy6QN&s
z+&53M9Dd-v<il2>54dW{{5&}Cew#}XT3BXYt(TBa`WJ}4FsIGxurdkAxzsMDM9cDh
z!elcUDQG&Wh3?O~#1GzK18~iJ=iYe_I;IThF#>F%zn{YpF&McLzqyBG#<)<!Zb<%(
zq2_2;Rf?Xpt}Uwn+CP?Mt1v(n3wxA>UW-T)>@Uf=AQ(%es!=kI)Dym-)=*`j?U>%V
z^AQqV!2hD5+Xl!-#Yf^un&s~w(C-k{r5E0pB)nvVf=sK?Sjk#v<W;|0AiP6)$D8eg
zhBHJ<lm1Wtz?uA7|0BrmHE9480nmIyxhPfkZM$RMHq!eioDaH3$^v3|9QTT8-HNL&
zGyMHHcr?v(%pz>Q=f;BtI3eV2(19|Mf`E3pO~;2*JvnxZkUZw!Klwb&C+KX$s)=r1
zBK3rJ5QrH|BRM6$GBF>Lk#wZ(h|x4GIk#e&IgD5}N_u+>@(#xkbReuaaJUpWUe7W6
z)ept05cl`3;W6^W@b%Z;rB=|&YhdCyHswfkMyk7b>CAJ+sqfKhD&?q=k$c`2p}JxO
zv4x&g5-6A=7-z?VOmpSVz9$9!M3wk08u$N#)Bj;dlAx`hPskMVWb+c!09%cNoC~CI
zQ{>`=E$1Xk7O$OzT#xP>bKu3D?fa_yNG6KA96Ep?I~^^NKU!?G2Qok)Hx6gm7(^c+
z-Rt921}a5wbP%PGzfF_dHjX~Nxx@GaDa`gaKuO@kUNfwRP-F<ckVkXb|Ku4<Es1p8
zSds&kX06K)K&eL;zXvzI8^RS9>Za$AO?gZWaa5_x;n-9xfLoltZQrZ<j3fT`56*)>
zzeWb&+C{zT2{<8iZtkZAT2q9cc2lZF!TIVgqF!qHwh(Z(XRcph%$r9PnJme9jP0P2
zjLPBjyZswhT5=`dp}SW7`C73yYagHbtiy%20Z5|!wvCc*!f@g1XV9YNrL^E}p61dS
zms6g1h62G3VBJ0W{>+O!+Q{IDo3DouxEPe`pK3yu;M3qRH`1>%RSnPBmuk^?_^+Ax
z`_>X#pin~0C|%b`wq&%`5*+y+GDx>6l^v*o-|5f3j&oNO?PT}9ObA_IG|#VrEIkAx
zK7aO_bcue4M13sehqNV;mcGB2G!3HNVj!Y$j_}eQl!tB2tiRxgQXYH74Vd<4kn$C+
zE}#tC@rSexLS|$Indkfv-uE6M#r<z>M$=&x11B@KqD~RuIo38DOZ0o_KeQRY5`Fd=
z+JWt#=}XrW)m@bS$0PqrbP@q$)`tRJDcY-Ykz7rB-8$+sR}ngQ+1|$5Z-cqRW%@`T
zg!dijgBYoA-IYt=@DAS=K3sLDcmAWXL!b+qrJs)y1JLGaq(!2*-}O6?q5Ex-Nw~w2
zNdDo07-oA&9TX<Cd@K)l*T!HQzy|AkEKHmq`LJ@>8j1Tpn=geZ$kzLfNS330=}Yba
zzNTYHVH_k&pw#__o1wEJX!d7kh14?dEy>j1x1j;j9*Gf^fz*-svN!YEX44!$s@pz_
zl2?YlT<#^vqMeK8$mxJhQT<2Kf$A*F0SkpqKWBTS0%@I{C^WnHLzl_5Cglg6NJoPz
zt0l6ak-QNIu|ZOR<6K+sPoUhd=NiC~E=%#2*<0j*NGopgk7UBBdVrOKbZk?~OxB@T
z`e`V?b2Cmwn^t(~7&~}mUcDEe&C%UscXP{&b7ZwmG`RU$=O7q6>1ZB&d*keUlfJZj
ziF{6Aq)uPo5W&^LNR#_*IREy{f!bax^r%1XcrKV45O7qz&JG~1APelmr>dZd9Kn}y
zo=tq5jVASyusZ4XH7RbEU1A=7Czv${1#MKz(#8WIas0<TiM;F;_eAzplB}zYuX4E2
z{NeTz@yOTLp>-}Gh~&7#-eKFOeVgve4FFdT`wuJIfsR=IL2N%%-k=Go;|~J2U$+F~
z(uzWo>Bt(ZW31*`oUj@5YpO02LiUS?1EbzU53Gw>I4`ZC&Ge$$<>rSvf`z||+~Oz4
zF26j(KS!|I+!4+`RiNt=J_1b$0?$61Blu<if13C}9ygWM<+iYBWi39Af$7(+On4i7
z`x+fgGQra{H?^gbCgPY83^yry*mRT?ms@%Rwac!6j)hrJd7cGfROA#B&}Q%B|4Cc-
z%d&{z<Ccjs)Za7$i@{LObRz6r&5O-8Tb0v1WCx!r4e$jOkw*C-dM&dSozyV3qx-@(
zv$W|`%D(NtJ7uj5NS*8_l;YRY`ST)>7dF2A?OgwVn1i3D!4g_Z`NE3^!~bFF5UU4V
zCD46|UoG$lT;}&lgh$~{tMw^r{`*1TD<h>1-tA?mi~nwVkkd3AJR2)XRi}S=CO-#Z
z&JQ;4<cG}1|5z%>6Mw^p{QFt|`>4OB?0+-$Yi;~*`Tb>8{x9t*k!v`{5QIRrV=yf+
zAOVk*Ervt80UC9JZEFB(^>wy|UA2V8KL5Igt_Prx)GD4CP_+cE<*evcVif-;9v-C4
zgJcI_KAeD_P_@MPoenh2k3OI(hFd8LUM3OWG?}a_htkvKuz<6V1Ht1wgcf?bgEtBl
zBJ^XvwBdb%0P|vXD1O}HpZ5-{nZthb2@&)iK#_T^Uq6_zPcM|%Ys?a#tl8u$MI^|#
z#AopQ%O>_Qap<<6Wl6sAtv3KDxAK7o3}`#)I{VCWGNJ${(lh{N=A4WJWA!tk%r={H
z!UrBPKn9YW>TJZ<uA_YkU9FKKd->Ob{No~$egjYd@y@nmCZ*urj*XfC=8++=9_s51
z6HsM=RE##QMxh>lLoxiXC$vBGIwNkX6M?@y0_~0vD#{7J>H<k0q8}PW*2@D1AS4PH
zR`4>E@dcjmt};l4X+<Po%SxZ)HX1q=&5Y|Wif`%V4Egr%r|v&$tFPK;>!{9N3NW$?
zK7XjU!8jwbitWv}8Ml>7On6RA%$(*DGvf;<cUCio8|&dFZxup==jbO>jn1^^+Gwuu
zJv!J;-`blRE6J|Um;~mKxi(^|CpI>_;Fhiik3fFEg$nvS!_V^KZcqSJWTepZj`C=W
z;Y%m@V+zk3PT#l_KMSK7x{42JGj(F;l$Z0jQiGqf<HY@njOz?Fu}gy%UqGj)*hrG}
zv0+Tu=+Ws7`jAyRbX<@gAOb2{dKz?GV?sB_6X)(+P(R}|QEEp0)X733iLh%{l(Qlt
zR(}lW277xWBgu+(!Ee)NmGMnjgx7jwD62qc96%-1PT-Ib|6ryO^K8Xng%fd*X*D>k
zFsPF9R~w;<XxN&89(n&;;CQn~+epyVLKr@cw{*m(&pHDRgCn2ou5R8z*J}(Lk$ZK@
zl|24UKBe#?`pCuSWiCIQ*WLv*qumz1ApEkaNldsHqIL6*xgGn#PF1q3PiE&-%UM4L
z{qg>Pe#)^lYM+(t7FT9sfE+`c2AB7n9%NI1DhIA|5+R}380cX&)txv)rB(jK{R}0a
z>$pal`NhIFKdKxLxZc92+{ITEzZoDIXVaIBLA=n>wo0FF(AR-uzo5Bu_c++3-_N~$
zn8vb|*N*UGO8|B7x8^zn+G!OY!Rt(NcRhcwg)j3X6Y;8XW3DaO5p!GgquXs}JJ)8k
zM#pPWCnUM3mF{G7Zj3GtozQbFjV-?dz|p^E0KT9a)BHh<&3*_=b_}(6GG7kmJ?U>D
z-&vXLF2|JUqGPgj1X_!}>V0tkeT<Ku*W~;UgYyxA1DC1^nzk9RzV*Zp{+NGlEikXo
zsX8BKGTSKW^w<k?YisNA4@`~<5l137YLf)Lvu8saxrddfpJGT3pZ;*Z(v+F=DNB^`
zb$-LF*gJ;|Q*x%Z`q*X3+R%{m+v@nPgW@Ba@wWXW>!kWg!lWqJ!|>Z23+Gfv@<7^a
zHp^Bo-JCSDRofu?xjGL6oeUNI3+OGeWT6*mV<b_*rt_5rNs?PSi;^kxD<5#KzBFF@
zoOVxMA(b;vk}po^c^JE1@aL3`)+e=XZD&r6tTJNR72*ok{#=%Sy+a;0DuVTd>4B_q
zH%7n({^jPclKz}bd(rpWv^SGAvvQr;K7&b=SQs`KYj?x7`Wz+6NVsIv&C|VpQI~m{
zt`1aoEo4+G*QQA6dSaAoY}Ux1zO%<rJiMUy%J)T-fM1PYa_rHDCHp>I9g7U}K4dWx
zE6HP@cxP9;C`8VX%Yr}l*Q>y0k<hw@ssh2y*82|vBN7X(Bg)N)WXJkELV~uW>*InM
znrrlDGBYB*g{6nP-ERkZWzY9<b7)spOge==?p*W0uqfxfQ?R615v%Y4heLOBtLM?{
zqrgY=?>=<c?bKl_CPVTF&2O8!Barn?R|<yUT(+Jg?e*gf>iJ=O>CDYssc<%n*ytPT
z@&sSc+GxHEC3-43W01Xe{kN5bTnb?Fq5SS!rtsd-_jqdgDvVdfVwCKiH*EszKHgG)
zd%R8%q#YigeaxRAEwByI->G*@i{5Qai5i#K*5BT8!P)pk?h}-MGUFBY7K8Tp;1oAp
z16|eydZ|vl{7q~YXLW;pd2R|iy!KnC7FFM`5|rLjvnRkIC^U)n7cvjxuhkp4*k7Iu
zYU;^40)?vBLHsRdZB)d2Zm`8Ka9ywHh)zDhv11c{gHAp&sQk*&&~|;YsZG0s*Nv2f
zWS?(;ljmc1q48WvV%ot9w$e%JXE~T>MK0G-++0)s=Tv;dv^zsQ`J($`(Rn(~b=BtW
zJV9rH*Qy>T>*@M^B6RIpUbBbOCi78X@r%x#e_`~_YM`I`MB|GHZ+^+s9}PY&6S$<r
z8k}IHk83M>rg!Uoz{|XLTr4|)V<}&G{8d9k+0U3%*l@$p)c&bun|-lAHlbFmz!?;N
z3Kn@l<HDiHV55KEYqYIYH+eracf5S+_&0uoMXa}DakyA89feU;yTItRP3aWoH;`9q
z!}mj|Z2s=2*=}n|mvF588{@O{-<MvXbW2)81A-ew)ySkp+E{Q$v3wbjRra@SkbaBS
z{Nk(5B_juG4i$+4UVjzU28Xm3U9NMu_oY1}GcoFi-7t1WG@ib*X{g~Ny9cqO;`P<R
zOr<xw03hA=dwchYp8Ffga$?BwV^xfkn-`{?q_WaupI%mC&|~Q!G*5Po`f*C_;QeLF
z#$5(wqXwg=zdv0<%LivVEp+;=V_SZSFP(PAHQcsZ?<?m81BYt9?U)4Mw(;FJR7XAV
z%etodym{R2k<wTZ*;jbr&|2afc;H9;46`#7=|8*<#ThNL{;{v&Gqc>$%BKWvzr@c|
zdUyL&4sm+jX1th3TlYQRjjQea;cuhx^Rli8ho*Y5CvI`2{_XAF{-_^vv8l7=S5T)`
zroU|O2Wua!{%afXM5ECT)!-Wyh943yuxF|djfa*#VXdBJHc`V!=%1B~pS}7|D@+tv
zXLdWjcvR6&Nn=wwpyZ;QEdEX{J{Gm;@3tCwinA2z-l#)S-&m{pdz<+auMKi?Fw57Z
zdu=#?JQg`se|!1wQaBI3*<_9B1wZx|>5nG5!5BYf*(B%io!$OcDKv=v_NQ>^!so^{
zgk!u}=5;Z6XgmkUoLt3xyR}vE)!6Cge|;Z4jhm(fjh^aq)Yzz;X*r{^1KxJpR7&~V
z7u4)ImrwocHQ?U0F(OaGOdNk43!$Va<Fc#8ocgUKjaqi4QhmwB-lbgq(<Aupg^W4f
zh}2)~oAAhU365$@x|W)#wqvAb=Ugkea9g*{T)-~$Kc8#Ni7tArPpYoZiBVOUV(sW+
z-JFk+h@kT}nZ8Ll*_xK$zsE;HD;Vd!^5OkLLe((Yz$*<D=o;-u(2ltUIrRBDOvl+$
zho}8-Cf{>gj14{6EpqtpBc<PnWX5^*_Sqa04WCqLOeR`O{t<-M)7@R;co4+wAg^+m
z9CVsRL`dmw_M4QVp<)&M|Bj6U{f9RnI;C}&iHkn!)*o36ll{DjnI_v*jg!<>B^@<h
zx+RgoF_sVIDa8s)+5i0t6-<Jjs0_8xsDad!oa{-RG7Aj>c3ci!XXj(!LLH2Dl{L6~
zE250DtP3Oc%n|YbY3R`1Ha~EUv@a>*qlZ2R)jelL%zfC)%3KxE+w5UdZ5-HhJWAsC
zr-aY!teK=1n{fSiwPoGaBI@$Zx5??9rgx(&f8tm;eg<97FeZZDe3kd(D1o9HCwgJ2
z>P0=bXZkB+7yl1ystuPuKk7<iV3&7!w&IHr|2<2J6O+J=>9q_u`VQXT6r|I@aW8rp
zAnk{tpzsnaEmb}^!gY+LYJ5iQ-#djq&l%M#-5hQZ=B=n3^+El`dG?RYf;Oun)<!3;
zpri-k_=&r2zqzxbG^66hN2X<%k%UqDC<|Y|;J0P?=OvFsykoHaYr-DP_ve!2`fA(0
zH9OOlNSIc7#s#%<Z@Aat;o+TM*OZa`7Ve$ZQjB^<@KJFz-S1x}6>dhsL@>{?uG?T|
zhVl&`8*)znv<pQ1SFc`OTUJL;Spzkhp12$ACuCjc#oeuvRVn$biY-zvU#R-Gxp2i~
zWFnZzK3+4Kkub}7dy1nJx|E}$qccC@Hsf&M&$*G3lHvwov+c+bOfaO}&a8RA7F*z|
z^sg-sX6GBuGw!SHUQ=8YoXG>>e4cRzGjmqp<qSR#4aMl^+W@m?wMjOSoM(f=zT;%o
z#k%s)NpFw&-^PPTncB^=6H_{f=3^SW1r`p6S#^VRsmbAzwNkM|E?Q~}Q2g&ZY3ccX
z8?qj7UXs(@eN#5X@!xGPEgS!^<NZU0Qp_|nb;A43<E2iETc0hjv<r-ek*7SbRNKUp
zw9twYIIVWgX-k>?zprt{?Yx;dL-(~^sVYDK9?TO-U5Ie8M$f6o+3-9=4TM|om-J6|
z$ScPeVwVnlyoB-J5mCYQ&6qE6KMs^X&97kdWt?A7&<9P9ue?Cu;-yN+to_3l*8Sjh
b`+>e9O?6c_GfW;0{*x4w70tP&_2T~n$ok63

diff --git a/chapter_stack_and_queue/deque.assets/linkedlist_deque_poll_first.png b/chapter_stack_and_queue/deque.assets/linkedlist_deque_poll_first.png
index db3d9a3ce8338ef11414b9c0d9f9a0de4e7f8e11..c9d0700fd0be8b891dd1e2a1724fd554b3ecaea3 100644
GIT binary patch
literal 55029
zcmeFZXIN9&7d{$76$C^nN>x!rs)ddeK|n!@^cIRpuL1$-O+`V#1}I1;QWAOzhOS}(
z>4X-V(g_3v0utKYab|R8e)q%uaR1N$%jhGCJm>6l&faUU^{#il>paxc(O{(Kq=!Ht
zjMuJS(T6~&!B=P(9Ta>h^J!9m4+<ZB4HZan2lqVq&s}@dYYy7l5FzlL4nj?F7(z)t
z1pI|iaQ-}*e2OLo*RSvT6oP*q1ICPYhEV-H9s)53pX5I_;2-&%KRzilDSnTb3H|G6
zYDgyKU*Dl!;AlwLmCM24<AB#yGam?q={@-$MWQeh7r1Z8wJVnm?@%m`(!OFP?(W}a
zj?dvZ+mlO|FPKmF;3z`yCaT-%k*Li>(a+-5m5l=V-7nso-i%2(dW8SQ(V&}@YPnQp
zSvN12g=?@l>l5aP`-+M)co_>1Pk+D7+S-zksoPrwe}{&(wAqQ#hRyA?m*qV2ev5Az
zD5wr8Lw^5=xXB@?y9+_P4V8!PlC)E$+()<cz59_U)OFE8UDwvcDhc8Tvm?Jx_~YAw
z_l$|`=S1(i+*?g6xzETY<=m5dIf~{iCK1bNP^DsIgdMJOmG&I7EU{8p`dlBWU|=6p
zdrR`4*QTJ-=kR)ir6<i>;n1EX`T0)$D6?30QI|MG6_t(JxDnF0z{2I~y!16lb+M}?
zk)Qa^M*H7Ge4~F)bG<E9Y_~8If=b3NWAMc>&9_s_Tki%K^}b3LwRnAFoJ7Reu5%r1
z8n*JR;u6KS(N~+)YnN-Wp9qIQ>5l*Y@z}Bnp~WFplv#shG^!rx*x3%C8LM_rRgdz=
zxl6Yv#N+PlK<aK!en4m?yHFy=Q*6ig>;2S6Q}_x?XGHMBoi*~AhyOKI5eKPR{jrg|
zhRy0Bs>e(dTbs;>8$!0#<2YLg=XD@fXphm=={C08iJ?&xgWe^fnB)`#+3FiE|5zn3
z<^#*77Ms`xlJm712f916S`?<@ShVYa&gMsY_;K!V$&K1upATy_a!OWbS;sbuZJN))
zqne6aY>rlYyisHQ_h?sd91p-4_8G~GQCb|V9zkYc(g#}0CY!A3o6MJ==_+=oKfjY0
zI=WIqUugIZs~hC(C}cWd)U`Ka5!*m;kBR>1^7nZo&)^GXK@;<-O3k9o$i$+|OQ=Yd
z5-uvgV>Ldr9nJWNMqm3<LLj0#a(=*mVsM@7QBCn8{VS<|FXjc-(oENDz0=xl^)5s7
zh3NCP=*Xo$kEM|UgEIrs;?UCcJGnuM(KMm%^p(55wZ3sQ4E>@5V$}aTj+bnonhu*`
zK{B>R#Y@9Hx7%{p@RLy=yi=WY3E~=&zRAVC%&2aSU3P19=%}DCh9P}}7{$EtdVk*>
z<fT0B9$_<8SuTm7a`7Zye4$S4x6-VluZY34r%I#Q6q%b^-@B+7B?VPIwJLUtUCeWT
zo#E1*=)Spg<!`&}=RoEZ4C(!^8M5eejqN@gDka)RZ5zd%EYglMo^T&3M<j*vh7W-I
zxG(a3Sa;Kydb5W{$RekBVuQtElKsa2+!iB6GThyQAzduA(8g>a)P+a5<__{8s>zk2
zCY{}Ls9fzx&gf0|lH@V-%Su)8yN_xcZ4ilD5C3WK;mW6=%@Tz)&#oAX_O#tI<M3v?
z!xmKKt_`tj46U~~WNBfK_i$^*x<08#-Ou><l3x*CX&f<I+iy-9#o1&zAog2qIN;!P
z+jiDD;7Nu!KZgx_RL0Y981T0lm#Y2mj08d1RbV2F_WC9zDszZIq!soN1poDFmVKbB
zf**B#6&z(%TgDmGru*;pEf=+6!9oi**sd3B^vl^0n=@kS%~_e6q%7q69^;~y1X#=6
zY5(_nw9uG*u~+8JDo8)~tO0s<&!U-Fh+BkIO@u`!hG1R^A4!pwIp-Jg?@7Aabk9K8
z)CnsWh)m`hf=gDbw9|QcVF%USgU~4!vXug!EdN@cPcOso8EiYhF;Y?u@|UbO*M=|^
zyG&0=c~Bw`)-x7gJN9ocF+z9ut@EM<vRgN(z$Am#2A|;q(}2A^VeP0w@y}zMbSXGs
zuop&3upxR$iotqA`>Mj*lb<}!{?9I`V=KMHb^Wc_SMv-d=B6xSrO1sqbhPHje>nq9
z?c+yp+kL#PD*2Vg<{iD1?X-<{L4<eRzm|K9{{4Mp4jWjr+`by5A1bZy)~13C465`!
z_|N-;P#m~>6Q$x&`dR>j+twp7*5CWLPo&tVR<Z3LGhf{8k!)(dwYYzyTlL>d{FKi0
z6a2>J8ibqc$tdTw;hQY~aMi%&SRD}j@<G57Zwn?@bgdBYOY^TA0j^hMBUBOk%GSay
z{$FbvJ`1I?>C`<ms`}4u`anG#!X3w7^tY%$_HK8?lpz~CRNV^yyv+zFD!Qg_nI8Io
z-rIkJ|2HlFS<8Q$=s(}`cQ^W<SNzW_{^u3{^NRm@#s9qGZ>0Wz8bY_`INvu0X?%Lq
zYmk$Aj=3pKismszh*Jp(32{of<!^#Kem^_u@Gk_f><guum=ke65FyTBxEvhvCf=X!
z6l<6N>A<0z7rayi*nh3wF}icqa+H^()Q*=m#jpuK4?806cmR5UdR<&&KlHGe1I6z#
zF<?yJ=|QH5_fYzC9)jZE%|$LB&kEn$U7^-g;rTt}JpG~Y-b6cjs>5`G=tHo>gL*Jp
zie2Fz>?C|J+~{|f>2l;aWI*7(H<_T&g?{1xbmUU4+8>!rL^j)T2**;vbkpkTrhHh#
zRIF#?j)hQzPb<rxe3x=4HC@vd(Q#Q#5FEgg-gk-T@P5)NRj0?F7szx12dD+P$e#OG
zx|0c^kjcONujKXr=Ft%<hhHcJZ9F=5(YVMwQ8Nz^DDoks^(7qojQJKK*~+{jI3OGG
zaACGHqeRir*jT{)L>x(u$AojK;=u3K`Aq*jdGU$Q1l=9sQow>HTZhW_)fZWynT}n^
zy^*6{yq6Wt8@M^@UsCfera6kXwzcM79GA3}-;lkLkr7|;N^`($8b@t>`S<0p{UEG$
z&{EYlq1JPe{-Mj>TE@N;ZZbisA!w8Eu>Usk31717OX#mlL!bq8hr$hR+~lG17Rt;G
zoK5rpK=AI#z1Fx#EP?G-yW<Rt^YgtVAJWIPbHIGNwWUWTY~NB%<MeEbi;H>X{ZQ2k
zq`91Dx#RY2Nn{o&WP4+Jx@u=k?<2dYc`l8-KY`m)c6CzIx2})>H_>^>Br}P*{5CoZ
zWai$-yHI8o{0WzO{3LFFdk@F=6X$!+)L1h#HQzmESvb@IIAL!|FfNaj+hAXT!N)i*
z|0W9Bnn1R_omr(4t9tUx?0=AMD6@S>gTC600W(NgI-P8pEw#TAtt3bZri)q|z1N)(
znyVJ`-F>+7K+&_Wx9^!xivE2X7{D~3Z)$^S=qk5wyV!ZjptjGbA;lRL+4ioVxi(X}
zn{GvZxo$1idgo;IM@-k|Vnt_s(ZGwPt=SAd)c#lIFd3(=<0ch$ADK)#avy)aZC~zM
z{pXed-bU~?1=Q=|KIOy;gR-*!OZ^{xhde&U^F)nmD?(8b{a~VL2AGpfP^MXE`c6^v
zO1gg9HtiIN0}XL?uf}exjWKfm=JN!3z*zIIT;nVCs0DP>QN?)ZXcxt)Mw%Lp1YZA<
z+Zs+sHaFffi1$^_9?`w@z0W`wo+vAp>u)JbI92;Q`UwhvVa}&%$0O*deaC008Q3db
z2RtU4BC_5YL>g&lyM~Xp3Y!%7jpmJ5uu1H=;{4`&PH!Ag=RD#uih+CWx;?+BRP44M
zBlX)Y#8`wwEJtRObA<0ioHckocXVSsY(J3Lu-@k}TBNy|(sNS5LU8M{;_iBHg3{id
z5x7S^v44<cm!Pom%BSODQ9`xA+GI?%Qsw<$bcr54a9#Q`ZQOPg4BUQ$wkblWn*1P{
zO~NRS=OMw~-ad|ba{=3iJtH(H&>1LrBO6g%psTbiu_YHq>dgQicCP>BMaTHolDgH_
zZ!NJf1h3g*>qGh*JSN#21scD}m*d8OcyU!>gz_GkYp!!lgD0i;1_8^$Uv2;w>6hgQ
zR|1C4A1{;L&l@%^Y~5`T|Fq=wnNtei-yiur@KPbjZ;?LmN~u*D@tRAvT=A(|o4*rA
zC%{zG-9^*gIpg)^{KrRpN>=>!%k`V--Z{ih>Iv!b;ERd8c#Jhyk#>2x>qUYbZ~*~s
z^)n{OAqq+wr*Jtx=e3!3J7JjisgKj<IlnhjxN;Gg9`lE$6cLvg`bw<B8h1B>_O@n~
z_I}uLgeQxb-5k|-!SV-7zLO0QuX<zkdEi>5p+QPUz|1jGqgHHhVkFXewPI{x>v|L|
zGgCjFG*w`br}IkYJJNdBB^&3f=55)Wrmz0DX?g=(@Ec|=mK7Bnuxffr>|&O4ffrr-
zMH1nTDB$-RzklGWqOnm>uhGp=^jNE*uG-q$Uj8Vi4{6vO3o;6uh@ia>^;&E-&e_(%
z3Gk~wy2=_}<uLOxF`x1u9zs|d5-*uWL$OTd=3QRPQh7gY>9xUZM%W(Ae^e4|V&K!p
zV7%PuO-?z*>E{OD#Jm$RS-vBXMdJr`kGH^%IsJ3T#HiZzzShQKv2sZu&~kiaNgTd0
zcOg3_CT1e;jFxuzq}p*UFoPn^Jt9yRI=7LU@6|XD12L?D4|artmfI$7p`lA?eXiSX
zt}6?p)W5T}W*xdU-F0fJivTY{9lPjoS4h=UX>014o_5lh`W;KNg%j;3!TL~(X3n|J
zqcan--^+VC>YX<&Ih;4K!t#J@WkqL-P8>og=cva?EDhbiw!OI=w$e<Cgu|?mK{pFB
zQ<d<wUx7bd{d^_^_;y-aM$W1G5A5W>lR8Y?Laba)UMj9z&qyO*MUkPV%sNB<+PFTe
z-a!X$88u;J)#GZw)?)Nf_mxAbitAQ2cfa?d8wo<=8oU8l`16a*t2h;dYe>E$w?Cd`
z#w(hN*R8yLd_wgwQUB}Es!ukXp;8FRw`J;-@Rb_D!pWFYEs1+zFS15Me9~hlFJW@J
zK0*Xk<QeJdZUIWNW8^XWp-<W2ZS~a&$yR~$1$pWETkntP_L;mDs&wvknELeOh`{wO
zgJ5`8$=HV_ZBT4tl3y&XiM2!!E~HgJxUsk2bQt{PuFp}V%Ei)<J+iVTcmPXwA(oXJ
z6YrRn>L%mm`!2!`qN3+8V(IXHGfYGU;Sqc?PMYlhJx6NFET-s(`-{2#B+Kqiz+T%W
z7pfmAN|kUvY?-SSOZ1!h@{;p8Fm25A1a4~jdc1Hzo5&x2IkSuUXpi{%#jE=v0M2at
zsn0P(zf-4&Yz#H-?=A<PeDdKA`3tT1CiY9dme`xA1!PGv3RSmIhzwoN;e#*qo$ZU^
zP0TgPFE92yGODgMWKn{tcECH{v7BFeUUcXeC$DJ$++xaXT8`Mc2><brO+xLmabB(8
z5^0iezeX*VJ&SS<i%c#qtlyeRg`b%XBD|T+Q`&WQqE?_aEzz@|E4u$=_RGs7g?$$7
zRSgr74ApK!hie6Iv;)xR>sow83l=i-aXKaY|J5y6GCWUC#<OVDE>)-E%ESoubJ?+D
zq1#Kb;ti%~JwIaeTks$MQTV`U*#0h9L+8>4SgjxDp?-zz1Vz%EO^BOWZz{5|(7f91
z7${>oz#O;>ukRWA7aP}LBj%?24Q1a>dbjKUdR71k)gs8XUJ=vMOi+>~xfNy*{TtQ;
zO!hr}M3x-Q%*<j$%Q>N^#Y*pd|8|&TVuhdeL0UVn?IhXI)Xp|#WPOt_+7T5b14esQ
z<!0k{kMV}lP!C+Sw*79O*2QD+6Ir1yQug(3i>ZGLJ%7yhigq|;5qB(0>0iYIGnV5J
z$9swDzeCl}<AZ;#`#+9XHU><InJwbRKjA0EIQVr#8Vf1vS9JP0<&W8b!5W)7v;NL1
z$lsczDWIjEj(7Kd0rnR0%vqm!KBdt49)vUB!U7g)QfygpCiwN>TT)ud72y)ovYW$|
z&J_;rnw2U~Nx)S6KRi0-a^ka`hzf*4m#S4^o_6&2On)kA8ucG9vRoi}HFXRq?QiLt
z<h-3|jsj83+N8p%J9~d~e{Z}iOBL*K6=X2J2(7ricoF@!zsLet?H&X?F@{t45{O^>
zKRzn0uWjHw#f60#L>U{57>2b#fQ?ENviAObnoHWFZmAk42VY<{XWd)^TXJW_r;{gW
zu`DkmG;oogFJ!%&4-8SiF^sfs3@y`oHgIWU(9W}AYi2sxx|m<PK|qT|`S>z$vvnCz
zxnEX#=fuj+TBoo(rdR@0@BNp@fUEG56cTi&p)BnmuM4P%%(u{(#FW%;qy)L%Ll$F%
zj*5V|Hc88Sr->c-u|fb9vxrfi07fAd7t22Ke&qJ~0$ka`K#8Z8D6$satbMbMOUkXQ
zyC8$OaDM-MQZy%(=2fs2RnDZU{(@#t83e~ew{hcOXLCz?ys|Jj{{tW<Y!@MHZ;cNb
zyz~8|<nm^Do0t#&F1-d1+z<!^l0a2IpoPAt`Aglc&rhv)7fdueKy(?X{Oao8@buOM
z%)jCJ%jKHMcnvT&k1lq|Og&buluzAxbrX_)DWKdzS=y!VDt}YI5u-tg1-b){6FBDy
z*1b8Bx>)~SJdeB-K$51<@=+A-vq#KlD|>Zfc_^8S-dRu``V<GkuXM*E^<SnY2#NR*
z$F+<e56zPO98+G{M~x;xo<Ft@+a*qTm08@nmy@7K2FL>_yLv3ud`t{I(&SXb9tjWM
zB9OC+?=2kTcP8Tiu#G>tA~|3Qf@P{6|HcO1dY^RQ%&T+ut<S+xSHEtd8+Vsp$@+9C
zY+7<r=-6K|aV4WT7wvkNe$-1z<RRWxOksvn*dBA(4^@li(6QjPcHl=C`%eksyVhfB
zeYaMpZ{rKDKq5u}()RJ};AK(HoS+^HTCN8Jg9!Rr_nQ>~p?eoS7Ko&|-mp<s!nTv;
z4I#$^8fb5x?m#~XV7XQ2gEkf|Jl@zZ4Oi`MZ|*nlZ!0m5?E(93_<Emf47jk2-9^XN
zcbGXD!dPot8}>nDrGSnSvCn{#=3ti#P@r^m8mfm&Zkcr(Qg(mj3#*grwkf~hzP+&&
z#c|0s*z|z)<q-6!AH&9pmao?C*;(_zg;As7(;&Tja{*L1Kb3$5Xxv-miO}bGA?=yo
z@Q68Nc!gUnijA|pOXAJ`-ex0b@`I%!CQVBIi;f+JhZO-furtXd*9HZtBbXI`*nI!i
zlCp!UEEtbY;YCr{wp);I8>Dvh48<wWf~ONr_EwV{`&u>MM)QUKnCs2~`HzcYisJ5<
zi=9qVM3aV9HtHLQUXT|$GgW+u8J+McqA>lu(M-!{80DBA@cMqa<k}X9RK}!Ta>|oI
zxKg*?qeUX<qlZZ?;-O!K@P+`(sLpnz;VTaa^M@-FK(hTt+A)D{N<%r|I^UJZ?fx@Q
zCq%DB#x7KPd%crO1TioS*RDovX;fs!I^%+iP}{*{zP;L*$ymk5X}&$zZr5g|K3Evb
zZ3IW|6HCJ8`G=(&x7urvH^}vVR&=<>8x*CX)$Y_Y-SyPoJsM}1M-9jNx{$S=Ni*m0
zianbkOL+hA2pm!D@dI@V#Yjvwjxh5{SK3)o72O4yUDh2`jq61Oh(eX|)z}&jZ}m}C
zt&7D$#07iG?m(pHIk>LKy{}VTA7F(tMe+C8%{T|xT83{pJy8iNQaI@Tmb`Ha!MY*q
zB;vz0pq$0Q!0e-VdN>vyLcP+AjZ;ad%Dle5wV7-#e_c$R>*hDLn||XnYkpbvH8o2(
z);4Z;Au3)`ZC>Dfmg`g`t)NBy?&xx8p01}y56p|Ym29K88Rkq7dvk)B8%sEoMp4Ng
z<Yz@rYwT#ndQ8wF#-I-*u9A|&NkVc9-s2orcbadm033_BQiQ-%nhFn6e@-!fwZmyM
zDxtNOQPn{6m{^|+EhLO0(Br!Ve|S~JQofE-Vn$K(U{RlHy$Ug<dMRG8@&TIe_+t(b
zd#nbB&O!qY={ewsD)N?o3^`_K`{poNWa$XI9vRiR_2tF+hw++xHv#Nu7({T=cAYso
zN^O|Id^33_Q#}fj;+rQQ#tV>UL9l9Ar^4nOe;RMglS{kiorw`dLox`}H&_O+?VK2-
zt@(gG2e@c;cqrcj0_g%|TiMM<wF>18BYi}Si-BEwVdZ%X#t4@*bN}2DMU8mwg7FA)
z9wzbCtRkK*%JIvKGT(W9oL_s2WK0f;G7BeS5f^Hd?%jH}IZ1L1sdR`0FMQaQVvysh
zg^kokmT54adE;MMwKkuZVSahj!%Ngv4+HWFm#-c2%f5*V39X!AOga($3T2)0%a_pc
z!cOa^PsZxwEb@zs*=<JD3{QqD^8)h@c<(qsH)W_Sz0%j_SAdH<#oPopm%Vco0~M0G
zCV+YG4<5TRz@wSn+pM3KXY`R_(1>G3$jw@wg@+!~*_EjCcLB4qU1jC%fJ+Z0&4U2l
zV<pjRk;9lp6A%kb{0D!gt3GeQ6bn(q+9^G3Z>#@&`?Y>8`&}WQMEdOJAWmFb{x{xF
z=mw%FBYI(YSbFTvJ6@>7&Dl0%W2t_p!Uj);*;hW_JP1OGhy;0pOjTx<iT2&<KrV`6
zNr-EIWwBhp$f@1aB;b_`9hvYKU;qxQKfgn?IfLd97967$j_SNdUtFNdr5JptRG`|8
z_Nav}Bb08+BpmX}I&33ex$MAPXu6ba(I=+sIedXlIlw(}7Vu@NORb-nA86dG5+KeG
zaowJc;5fz_4bTm>Q06wv0@rnz7qYTo8;4I$Km6K59g*B{&V8^nE4>Bz{rWxi#H#Z9
zu}fE<Ssu*({F%h7CtcI?!yT3piTrAy9m-@|XqVD_E0G>6<izU#_U?f!?BWu@CXz&T
z^hA%AWC}ykI&xVKzAU`!Z5*ebE-A+2Z(;IzibvxzMMO40YaHzbQ_3+K${9iuZCd<s
z7`teJkwVmV*xZr(4r4Bv7rJk|c<Jlf_n8cksB&Ua>leFI0!juP&!%E#0<$}fZp));
zbDc_uje9l37#@>;AUYK|!@BY$+HHGz@+{?roQ{kl%rd@8Sm^R4N(5<dlIXP!dqor#
zC{=}PYa{2sS%sV{_mj{(v@OyKa`7S3rCXmKPY_&0@lSYD&gON141O<YeA}uBUqL3*
zz%FDgTR_lm`QrPvnLlC0d+^1zI+InTRh=WItk#loX5-VN0B4hF1tGXX5%J<@x>94k
zAAQe{?VjkJuEnq!uXGs}pgB*HljJBOEsyWx>Yn9W3hrX2d}!48SYQh*cYI&0!G+bl
zQ&<0Z<IZZEktZI{X#>mP_O}oMvGf6%G7a{YtyE#ttE`<#ab1r#>y0APJG4Yl(k>wJ
zT?0!gnFwZK`le>e{yq_HlM3-SQAEY(ME81u`_w_%T3%r*QG8UcC{){*E4KEGGIQ@9
zE4~L=A`f9Kixg>{@p<Gv>HTX4Or+0R<<;>`yg^#}?i|5CTe!=zqPmD+Jk8mi5=a*v
z<Vw9g^7<>(p9k)A?}{h!vu;}7W3{<w*4f0Lbj#}L%!0Rp^Y{T9TDM&37QA94m$_Nk
zeO4KG@|AY0es`9eCS4}zKx#a36ag)5kh{KmR5qloAU1+HumUp6>%K=s{E2Zhp2Ee#
z`NALYCS?s>hGD+9WA@S)#NAegCv2oqD8+oGG9pRHIOIVQbAQdUQB>mdzXMR^V2XB$
z-ggn}22rm#x2v?S5q-0-JrkIZIg5^?x%87X++8>l{;h0JrxQS$jm05@*Vnu2(_GR<
zriVY<Usf%TqG2poSXg@u`^bi-Bz=-}8$1`{(w%c0&d(llwR|1<t}nt>6>$@tH8$pl
zbLVu$-dQ~n&7G~L`Igi6(1T+4UUx%FNI!ib(t+6h(Sue<4lO}QD-&(#m)tcUmv~wN
zSyWGjMV}=n4ps*Sc~VuRuarVi$D|)(I7vEEl_^pt#)b%jrTu2Fx9}W8yNOkR8v0e2
zJ*HTnI(0Fp*+M&m3Gj!U5Be?Q*l^goX0@#HV%zF%jzTM4r-3$Oy^eu#7KC+>v4NBD
zrm=2aELS-E#v>TVWPdKW;=PlPR|d?oxFNe&GHa-PxAJ>R;>jc;HWP6;(<2YXqQ<eq
zy0kuPId8%-zOg($F5!!K=AobcRd4k3yLTTMoPEv3@e88pk!<nFBJOPizBdx?rfW@X
z;Z^IiO8albw0b{PD?V|OFy;S@k!g2FJT6#AqLp^%brZ{A^$qe}dBq@x)^ak6462@$
zxJ_skE-|dXA3WL7?3Zd946m5C3=yKnX;$>Y8++HyuiA^F$m!TE!9&sz+@sV9aUAPr
z_V`j@@RMTcZchis55xYkq)=l?5|g1MDKQ^10u;8QJ-g_2(OWUP+5>TEM3f?Y@`YV|
z0BJriF=JHvMOlbJ7nY9&i+@N-3Mx!4KHMYW8K;HU&Ab1k>Z-K=gWZKS@vyDfz@xa#
z)l#X1B3;90I|*9ZMfn<#h{Xek!YdrL+URZxWj=nbgzb;n!{D<nr@TjSBP@J}MHMQq
zq6PYO)vS|4i5t1kbb5F+B(^j!#`$oE6MZ#8K9wrsbQ#eu`nO93mdXW!T$PpQ2dX9-
z=)5FJ%17v5mhricw4P;`(6nLhp{siJZN@{Gk-yeE1_u&q;Ds(yFf?VMkR?3Wh%RwI
zY+vBRIENwAI>V^h^q^v?ZX?maQ%}WIx~(N(u*G<-@f$AQ&z@GR6r|ssT9{;K%_Cm&
z+chVQ)@~w88VVt(<zV8<se6Mp@A^1T_m2^yn-tv6R+~|q7qJ&I!(J{XxmXi)`id{y
zxSUHuK6g4x{5u#qdjN3BVm0Xu-k68asck}Dls>rzQ{}QW2=kE4Gg)i!jWZ}!q_x+s
zXIfGluhL)(hkFXy2f125dquqQIfNxsb8F7-u_D_pAn<oc1C3(O%=r>n7F@E?q#Z{}
zy3dZJ)59Ynq-*OkaaXwX6TtdU={E^<-+ir&ci|*vfm%dXx}|To8i%D<gqY!hQNQLQ
zhw(2$&t2&HdR7f|6%gx4CHgGcPV>t}^Hv7|`;lCH?AnD}g(cx|*MqxXd#|K3h}Y>g
z!mtXA{H{+co|Y0O5NBv=nM^N#x1emv(%jV?z@E=iD$jx+uE*~1Q+w{7?@4P~52+M5
zHs1}|;HebT=m|bOn$pedQ6e^f><)%4TTDu)kCQw{K>)B3+K2d|&h$=|1{tT;9dQb8
zO}2~!blY156yj<Nt&&?7;su<?>rTbRr+d9UkkxrD3+-GvFV+1Zg5eqFgx_5HAn8k%
z?x~a`#n)U(=W>%n=(}gL1|x0`I0#XXUNPrKyGYf`r_{v0diF>uw}-L+GT?8^g>2CF
zOt96$Z8hh-KtB(s0g_7BUd<_zgI<>Ok1iR7jtP(t>hlLKlx%AghA*vmslsK8i*I#b
z$+O=1#!)8hqz$`>x?wh2d-+{A=G{HXV$Vy&(r_R~KO4Ltbtq*sH^`WF)3vrMLua?8
zkAhI=ylzQtf}M-+Dy9S$%XM|&Af6f79$AflN^|h24TY)dkQ@~(Irkk)d_$5E#Mr!_
zT3)m5EFlsL7$h9v3fvfa6`?oi=WZyIQkMw)H?6<8(q@S-!s5P_HHasqVc6|68b*>D
z1`>9szE2zVgym_qJat1cU&nC8+;1ReGQomgXB`aT?ZJc0sPD`v?If*o_o7&dVH5;a
z7HdB62-aNP<M{s6JI*qT8)OeMWopy$N_N<8ZpeG1t7amOt!FM#9}fy%xn^1)d4t@%
zW^_u=DoDbl1N+ig63;~?W1NJlb_K$=m(W!W4PD$99j=!ufpivqp`w}-6vm_mc+N|(
zqCD-2ZZpc`6C!&`_5x}A^OTG{%FzNsc<ErTg4PB1e09&n%EZt_w<RvqU1vQ+sv9B@
zhC_)L5T&n<*Si#WoV!gfLd@`R($2_tnd-V6`V<Q?8S%wM)(Bs!b&Y|Uu7zc!`!Y=^
z5{Xn59lkE5Hg5TPT#s*c)tGN|owR{&EW*h*uDoS<c1D-|Ub;g;!tpZeBe`R$A@Mh&
zUQ*e#S1~A9o+8#)2#`I9J4L%uH-A4dNWUT$&a4KCHbIr1hl$f^C$pcHM&=8RJ}${F
zX!Uri^_16T#3-zBU2Q7=M$UQ_svJRcb&1gBQEKAjE+Mn?QEBf+*ka%Fh9)dQVgZ@F
zq~hwr``F_-oBz!x=?R&S3tS&1K4UYGoIq_mIkB1#;dm=@ReN__wz<lHuQDeYO%9vH
zpndz(Fs$8@Y+AZ1)lpSAVVA=-H}a!3xNqO}P$>xV9lGUqIsisjq{Nr<+!t$Pa{2^W
zq&syTfZmHPes`5$LkV)i(roRgZKcl+FTHbF@XgaiyR)#apUqwFNLKWmcRoh?W}PuR
zQjy#vqkPc>(obxv8Y7+V3(Y=oHw$}*jO?dwG&yVtHJ+6t6B_+TVD8A{g(7(YbunJX
z&W+4QVPgTaXWPvY+d-_Ght}~X%#vLk<*oG~Ss0J<k1f4yh|}zp>H1N6xMr+y+QPFQ
zOXH9TldRR?cylVlHh1|L@kbM|t?Mj?%=1QqM)DZjyZ2)g?^N+~jH;&fp+A>dv*WAp
zHD9)4Tu@wTq8!%KSlX*Lk72*}tsdr@6Y8=INVeAv7fOQ+TyI%)n<Ue_hAX^#b2ZCj
zjh%w32aub2vmcD<rc|0f1dXOI-tP>=LreE;@Ua2AF9&vtC+?mP@#u<XD=G+zt7(s-
z-aeG6)Y;s6Wm>N2RsIw1KHQnaE|{{UWQQM*|D(5RW+9)n6qU?$?TqCEGZDqhg}n;(
z604cID#OMBmuTr0p@8DJs;lfDqd(QlYELb@o77vPu}gh}8@mo0eQ9Q<WBqpF0{5<d
z)wlyG{r0EFCpZO-5xl0EjH97M<F%(F;-*Odfzmme8=TjT5BJAQ@VaisdgIJVSPN0C
z-O75jZh@(4ZPxgb$FAPxuu>hxty>D$OtVaQdiB+;>s63%(5+w04W#{yb^H>IyOQ%T
z%TXT?fQYf|Elh+<_AU0aMv4)z+9!Qwj0^g8<d-B)-;$ozc-O&szMs#72ZehKfc(@A
zU^^PYesRj8P)tU2v3<|DPEj7kmow>iRPIqSUpn_gt#+?x9DridTdM?%O4^G~5A+Q_
zv0~Q~1J1G0`a9U_HeaV~=}+1Ff(xmLM4G+P5&r0rp2`{0TVjznM{@=<p=sTOSADpF
zbj>Ad*TIi(uy7O(u$lQ;pJxo2%Xt_QR-!I}Y=?0<q~fD86%q3r>6p(+in}!lSE?mG
z>%t;X2$dNo!E4V=??Rvf99`0dgx7i`wFOd6kfxcesk0<z@O=@xh*MIzRdb4s*_PP=
zC9Uh>#Ka(?W~Icn`r;Pta*3L&2?x7`O($Dp0OuL0Up(VU3s67BS3Sfx-~1VXu@7Qb
zfcdNng8B}>Vy${6JB9XcPu*GV_MXi-&Kc~mrqlRVhks=1Ji{Hv{RR0u)S?R8Ce{vk
z5AMK}?Eda)-G}Ou#CsTz!~)N9G9`q^y9B*@>T&Y$=Jvc?5%;1+_G+5{*w(OX$&h}n
zv6*M5(ta@V&5v)fi8e*3b73uPCixi~#sl9MTE(25tX^SjGBAi)uz3(!p6w&On*>rZ
zY?2wX-e%l|rU|_J)MAM3d8njImLmtgTnw&kIh=E|;;qY~Bj>1X8=(ks#$qmrcHrvM
zNRN-%NmY@ro8EMXpTbwr{l%avA4ftjrOK1JA!T)Ft4$#Hy%_?qy3*X9%!a#6QiaYY
zn5k>MSP3O<Y1SLx^hsD#k8|oY1L$(~M79LU-s_Zkf$Z4=5Z9{)y8aJf29j{|A#KW7
z+;bxrU-LHuR>nC)ZTrala%A<$Op5QUhhGt8-(&d5=PxOquPJ<B^#Xj;0os?U*M;dv
zjZS~QcvR9vdm!=b0bz%>%iBHZgIQm#@sAoFmU@1d9Q2Upho?QV&{HCsYKiu=s}N7C
zjKK4M3j;nOlwT^kx=dYBJwn>a%OI^3COa?>>%v<c4hvx1mBqGO8x9H5QQXTvxLt6<
zk{TwNeeGr|Tr(WA`Lrkb!<nVVk2Op9M*E`IiIRN<2hb#OIf6^GCbil<D}*NE3Iac+
z`W(<EHOV8%i3t1rh@0(R@m%(HwYi>*>!MNV;s{S}iI`&R@G^Y9IvuBNf1Ezt`DKH@
z7st_$#VAEfAWK=e&uMr<1~k`9pOS3Gy*p(Vrv}Kg@FSmgIv=~nM4o}}h^|as>0<1p
zc01JKz_gI(an@7Gs7phJ5j~gZpxD31GPE|C8$`!iAHMp+s*3k@143V=AK5QCO0QW*
z5}g<m5btxIp3=4tDp0RJqTqO;8}KLTbN6kVweMy&-_maCe?LQ}>jx}-;t0gUmd&jx
z4@2HDN(=4^Z3^uQQGP5|1+>YZ^%_8ozJR6$`D{D@gosFH7Cf$#thLd6gV{74;qSiW
z9@jM2_8?<_XEt}d<_e&iK)4{E8o**h^)o<IP|=$zANv7n2fbIE{40vPnw`!C05Xmf
zJutG`b#m<28UOG*mO<7GdVB2nlV7jQ56H1?h7NDx#e;sA;PU}FvbGEXh4FPdKA3%B
zK}CU*TYs%xrs`ie4({W}8PG4X{HiPGDMwe+G9dn}Ru4jc)uHH)A1Z@LH^&@(KJ!P}
z>{m@`hZPh;1FYuQe$B$qhf;nI0NI1f&P=~H%}+%DXa$0nX3XBR`d1_46%kOp|Nk)f
z<9KB?H8r`^GV-MBae`~~$aHesGg1GTdZM~`a-3~HDQ1Vt=MH!<WqK&6u;|)~8efJ)
z7y_=NK(mY&dX`=Sq~0x(W{eS2&>ag+!aIG?sVJ;$71O3)lNfx=yk<5&efun!i?zBg
zB$R!E*@z<J5{BH2!`cwuAkR<9vFE(AL+2~Bb)nL!LxA?%L*+MTb~Cx?SmVM&RsoAB
zmcsu{dG%x_vqIps{lFq9@zKMS8x_{w7iZd2x9kiv^LiSt4+NarWuH5ii&F%(jSxlo
z^&&m$bq-fhOCe3&$fs3qTocVqP|O_<&Y;>zP_|_dl$meweEL=~cAXah^W#mdb0V2N
zr=YcqJ=N|Oihe81Cln}l+qxSw)~oG>f7Ku(PC*|*&NSPyK#v`$fqZfDQjb4fQKlXu
zX=$gVHIpf;_t%lf^T15L@~)`RKT>*d@u^n<kK#u%micr2!%d*qBQ_R%yN>;J!XNUE
z2sd)_dRnXYuLJ))#R~koUXJJA?M=rm$RPc5kJzt)e;yA;r?M&0p-m$v9e=Z~Pe}l_
zT9jA*?MBGQPb5Mp29dp&9shPH*&54FgXohavh;h8{Ji@+;Mf1%`u~r!{wcL7KCPr~
zNpX~i!wKE1U|IcJAol5M=B1pXp`*a&t(A}U@Z3#oYi+fRL*IigRio2?_uUCngOv8{
zEBknsh`UgB{wQ1hc@s~C&L-;NrMr0%)W6M17Pzk2yD!s@Pawi$pMaige;$-cN&4)u
z8s*xhyFcl!KMtPK0ys=OU?Vo114{o)vvI?K2gF^AwkE4}@yloED{%+n@4Ni6t_W^m
zp*~dY9*0)6o8ofJU-(8fX*L#q_d7%$7dMpmOAVmx4D_v9Yjr+-bbWL+=L*&V9)|6@
z9vjqs4W23E#X9|8HY<3Rf;Y-gKQA>(?YKzhxp}K2XLNk0R|3=P{dW&;m?fsepAmlh
z(;sBB#0PhAQ2}~$T?Ul1gO?PRb_+YF#wv+}hkgwz2_~u_?RGpzgbY+n6{GShaR=#L
z52xNIT}}AC0WKXr4hizTF!!&nKIIJ{KNzY&*#CO)KgLY}zvfLlh>85Y#mV0uD}ak_
zxH<nzE!)ITkxseT{W(*ZJk@9Akstng7r-C;_%`)SNg>Ko);g9QRlHSTGTo}VyEula
z4fS)!YAX>J#xNFWSnaaNDkZr31AgG>qf~xJi*ROWYklvGb_I$HtyKM~=$yM%ySZx6
z!QM_=1=rA3pkknk1a2df=J!KH>@d8av6AjVp0~nh#I1vha#gb}n}j0j+$Hxh!$jh<
zQzEohAYy^YL@O!C|5ucyn=&}g8j=_ky>YaV>2%7V8!-!EFss8TVC&xD<fW)9w5{HB
z281VF$Eb#13w2r~bHXJGeW7c@U9d`s%QaVeOR}l@A+C$lFjb0kaY1YFg{nqo9|$jq
zJ@N3#U-H0Ju}m*{zZp~f{Wubhqs*B%2W4hBCklowH{W|-Go`-iHP$K4quj&?uBS8`
znf~i~2*C-OP}OefYXt4LxmVqiDQX$Q6C<L|o8rtb>GaUW9#YOU1s7`xbdVMMYgIEL
zRF)*TPr7O{MPA5352>ma*tT<T7FOVxjJv7SmCQ_V0(A&!?$Td=SFZ^=X~pI0^Fo7}
z+ubJ}#v8woAISlsy;xd&npe`s*DxrH2Na)KBLeUB+#vn#z}CACO$wD<8bVlOYiw~&
z35M-L=16UOn<X7;YR@IH;rcE>D*g}$mc7sYyFWH_kcw5qebMAyDd#q}(ovf86++dB
zrXlnjeE5l<w8IpZerzEe@l9mui35vrlPZ{z=ri}kegT9Qk%<{uoDFIeI=t#t&1|um
z(od-52&yaPI@Ylf>dZ$$bqP3$An%iNKeb?FL)JSC7291XHj&!E^M*f9okSl*!7O%+
zX{xWjO0BQp_*+f>*FF=apw{6jtp#G6-V!rBg_e*YB`)XbYEN{J9G+VgItDb)^|EZf
zRKHH}qo|$fM~nx<BJqT9M9|Ion>Gcr$TKaWZ)Fv!>W+Xr^4FX@^lQdZP^lf)1b%Oy
ztTpda0+T7>rj3Bg?DUmV11fKTeLBv|{MOlO8a6TR4}Z5f+L3b)wu^k&B}M19mc2H}
z=NAWo${rHzY*rkk{xz~blq?Z2GD>6$c>jO}Xlyi!KJI~HXC07i0J%aizQ4%M#H!S$
zd9ci`Xb;dVw*i7$lzZrs9=v)@vKXNn&9vKU((u%&io37&yOs1#YE)W3hT-1W4NBkB
zD|(D{_%Kc?W8Px8u(2{E;w@RKPk56v`=^h7>=+?xQN1%ktK>9LJPOj>fyS_~fm9$w
z09vh<Kpc2+gdudL=Jur3ov-)Ex{Y_y%#9>aUBYhnaMy$PWoW-R*UULU7_rhndmZQ&
zfO^RsD5B%H7@PVnYUiIbyer^VF&?;0&f3FEr@x{IPd<RkOe1g!JERK#KevFOO$5%P
zR+}F!7fu#5n3Pz7Vr=zcH#4&#P#IXt2Lc~!{MWNW7V1EUj0bQ3P?<;fw;Nb~ts1cM
zsi$}Mo_XmAwBqLsk8R;5u#Hco)2~Ib2TF<+@d`0J_ORkkhKKJ1kh0&&qVQMl#7F(y
zL=uWR@Hti5(|8}~-g3^{eOPSV-y_XuI|KwQWmNG3l@n044YF8yHB$=-9tN7BCBh4E
zZ%eHMRzdEi+V$>TnGqH#xtW<BW(t03;3XEaIEumIy(%qtECs{6GKFi1*J|(B6>uAF
z<EW5H8ttSa7^cSM_H>~p?F&tYEcnRrQp{{?7M#pGsqyP=i%)0E8Z!N|(Fc0Um)8rC
z#Uz4%<90&W&g2sf-m;@RU!(ava9ia(SUD)lYx~D!0<INfWBTrskhod-t%bgn=;;p)
z5(aXn^H2RsdvM+Z#-n}G4DaUQ-g*O<qc`QUvm0vZF(tz<w}(ce$Ag{Ls#8i%TnHFS
zZ2A(}@&2(p%ZfEn)a}b=NB?Oe6FE&}9;-fR6G&o0mV?ISmnwTbfYxiiH_sY$Bmj*;
zE!Sg|BxKyDQvp9vGVoQ>W8{ZCU<^RfL@REN*Zb3nCwwcQ6imy+eH4ef84O^u9X_Y%
zKu4HWX<%qz9NKl5kYC?Wcx=Xq3#n+j7iwl!uYe;AW#5QRcMs%kTt1M{uzNMI-34hg
zXV30C{K)Nr@@2528NNw$U;ER9R<tHsIIMR*>xO2p%Xm+Hs_2kIx(*bRyBfv;kw?iS
zqs%i}b2|qvy~UFX51Rob+?W2otL5rZ8KETSdLE_Fy5hE_(OR@9X(Eal<WGvi`-_fB
z4AsY8F}Vw$BE132p9Yiw50f0K#?njhGfH`B=aNe-6m2_xY_!W?+Wh)n+d|qbqjO=u
zh}S((@W6mD5*_k!HrZ-`=!MeSxOB?l@_<nSkws7hL}}YJ@xZ@u@fL?E#<zfgMa_Rq
z+1LSPx3eX@@V*<IjaBPN78qBbkp`~P`B{D~Sv}r^YPaoIF3Vm7EcGp6d=a?iuB@nf
zBYrUmGndqLyO!Iyz6X_rEpBr|Gc#vNP{k}LE@l$NhGa!amoSOOEx1p&rkoi6GOL7q
z@-o)pejp;thI%4qHD-n}wPdJ9pi+W}Zl*n6@b1#Vvv9foE19JLYTSc2%>C6lF=egH
zEZuXbL}i{_G8z+nzi?g+BWF^PxxGGLakGVfpanEGV7&8JfMD>ABpkaECp|W2Tr>4l
zi`5uzB8t3y!q^ku=;Z%Sh>?XBH!%Hi9~65m`LiOE7T5~=re?XRCc1QTLTZEB#9X{~
zXNWIzt*dOZOwKASQ7kwm#P)+y!7ueTuutU!2L$t-e&{4eC3T%o-pOJb-0BHQBo}l|
zOAXnpH1@=-8%FL(Jgx=Rd4cSnoG89K6A^<5T9DQQt(zAh0-S7Q{pNuTZc<3n)%+r2
z6!%nUu4mjh&U|TnKD>d)l@LWV|MJNTCb`%;MJTG(PDN`Co17hh=b=Cm>J0~gw_~pq
ze&#H!iQzrV*=n&@8`a?Y28u@+Gl1=dVf9v2nH6%+e-+S9aWdctPYiu_sSgd>Hpqp8
z{`tYOoZ7>t6#$U0wm#qF3u}pDlDle9J}Hhf+wKH<L?C+CDOahCwX8O*cyg;veL7Bz
z$NMFI3YXEKU{7G(O!_HCxB|d4RWzAd0pYXnWac{ZOn+bb;n-Lmo4))T9vkI6uhI_$
zgDwG!q4en7@_yNw7j`!jtoYyQDsJU2u%&|)k<LeME8)euq>uqXe;HGMOS<p5hcr)N
z85+ZHGO~+FBtAk|(%7KK^XWPFVCVqY<m!iwU6paB5RM|Nqd@^)hP63l(D7G`$xpo^
z$V-z#6N9}mCVn#!;n~hb^L?0O{*uxnsP&*WQS_z#owe$6k6^^IfiLVk&{&GqOhkfW
z9X84?E|Y=4+vXztRM;)K2<C_Hvsjm~8QojxB1FSohUQ;{#KS5bx}PqrH^#-(J!5I=
zrUDh=%U~L)4O4!)ctHw^9?t`>rWSd#KSYOZ){bkZUm9Ba06RRAt;V2WKA#;cRvvVv
zmQCdzSO{r?-D6)3F$KigO7E2=5PR5zEi$LuaZ;UTQnS5<y5h&Y3z%#Z`h#vA4rgGE
z@BkV*7yxB(HoK5N+>hUh-J~B%kz~bv6#6!cSpB-b0;6dxP|!+vjL5Y6#n+|?kp<n?
z8=J9(g@qti>ET7DuY{PQ*Vx?7HQFmsm`)-$UY!uu7~~t>F=GM^C`GB29l2&f*Kf}~
zX?ZE}sTyR?c_4G{TvI9enK<mQ9p5Ddd3a+hu9R&6wN&*wGX51%vV%68AGXmvuY)XG
zmIi>+wWxBb3M9H%442z$!8UP7lM;o^5d)<oOD6{n1tIvu-zIvpMf^R6-niHq5nqe*
zI-xib);x>f3R~0yK5?@`>8_9)Gy0!_tp~7tjAi(`#nc&@sCTIs>|4oRh;eSi(6t}+
z28j08ALoL08I`q{Y_6*At{bbLp74Xft>n~|8L~Ml{rp+g8w+dE+P3>ZiAYww51(WR
z^^jChng{J7o}+Sz2t8Qs9w`35-)OCxv9+~Hj*1`Ko{O`P)_HMpZ+CjxbEq1jg%q>K
z`((r6gqSxk*UfYx{WF1_rJ?4s&-w=eg<S{WO;C`_+)*;T3ipTRS}*H7<m2f{!~hL*
zX?Zc@XQ82V|FHld$I1!JQ|nv`K8s&S8Drv+qpC%1^)#cA#zj5+_lTWtV|4*8&7%4w
zIK?2_h`ve9#;_|H0EodbuWo-h27+Pe*LxhkMJ4nAqwRopHecJ7#i5F5CZ0l^YXN$5
z#3$iGHIyv*OI*sbo4%$UVO+gf?dmUFt2j_ldb{m@5e_Zo(e(qrohGv2jzcF7lxzti
zSAF<&P{W2sdHtp!iTl+=@RJJ6uYk;>J8mJ$BD`k+1?i|}EI$I8TDUxFzCKoE0<k#3
zL!Sr~qi#SpA1k2qDnFX}Y)ZOMhb+5{<OcHV$ky7ds|AdJTy0GhP8+&*CT*&<fK}oZ
zavdqjA!eEXqA095@WazFCT<x$3e)ak-nv|Q&p2KM^8(Z4W3C0O8{_+X{%YS0{hoZ4
zBRDtpD&`gX1TBjMXrSN7`DIK>EWN3-dec+VU~P)=n~z;{{9<*XwxhiabfiAdg;3O-
z(v_zL=oesn4X`hHnq$J?)C11Fujj>#fiI4b9|oY#Wy0j8fn=Jze*@^ZcrHaQsdc_M
zuPPa+SbFmN`h0KLMn#76oRMldSuu>0GV~gtLGFRBH(xE$8VuTa5Jbt>78Yirt~x|6
z&pKOA(U*ArTQED+32TL<c_5Kg_<Hxq`lr*Qty=gIptJ`Vx29OGnpp9@A_(sxw(fFB
z<{1oSioUt{B}j6!7S`)GP2?1@s5P{E`%+@Any26AMXMO1Hjo}X#4RW>X7P>;_aD3e
zB**bxbsh6A#$q6V1`Zd4GNEj2UPo$q?E_)2DG5%S9~%+2mO3uTR{Ob=a~>!>8<EGs
z`|3>4DZ;+^{-wE`ga#n+iqZm(c+<S@N34ay&?8rOBy7&QKr%bkvtYt6?}mMgU7V~d
zQ+3ff=blq+5`4H~_I?O)2|ex+TfW|_QZh<sUR$~?>R2w$Q^QMLSF`X8=y>q@E6z<X
z*8!|kZnB_I53g5{{Da16VxZ_L;mB*w(~)rPzkZBJmRF`N;LywD?#7q~j{<t20-pm7
zQJF{GIu%IG%%NR%0Y3IHQJ3+CUC>pKBl~%y0xV#)?TUbD^Xo|a+5<_&%h=3fET7Mp
z^B_wwF<YvYgr6==|D1c-21Y_^GBUXy9paTl;ggKkfLhr_%-7iS0b4MsyNg#<)Dgow
zQ*Yy6pCad97<i#lqh0TuIEW_304tTHo5lZpiQsW4FdeD~ErWN(rb9q5OH_hKJGS#N
zjW)>=ScIj>3V5;_n@uq>qe=%f+pG_sqVBH2ThvskO@2)9-)!i?z9rYO3`=6;+|xkQ
zs59ppNUGRwlBL+VTp$RmT?#Jn#GFkQN^D}5n>#-05!e(?VP41yb3i2#H-Nk!-<=cf
z{sNJ~9+=mjD&?ZQ3HZuq4pD0v7oDTYQyd1e-~HJKygvcKlt!k`Ji5GGAI%X{mlLA^
z<m(A_W}IL2lxNkXb#<n1)MxSB^KefT+;tHa4O}S5^L=(EG3wnLPWL?^KIL*Tj{0o(
z;n4x(!f4Q!<5a3%kr@WM7HC|3TgnOHY^cvxL+z3MVunmibdH{RXR8<Q2fJGizxDb<
z8^rnw?79h^V>~~d$ESPBX+0(ItI79gvK<%SF-J)Bc*5k1amHBqk&FR!7t;BI<_q4A
zNQb?O&iy-cTu>HzuOleB^Ugo%vCOMfJpk2sPjS;g&5r2J8Q}oolh#<+LlaR^jg*r>
zeYNIVHTt+vdJGBVx6OcYW7z2HzD?d75sP$>Ln|gVkqEH~m6Bqrq<hm}>vF)Bc-QzP
ztYiCF7A4&+&_epk-FEmV_ab--tnrC7QIfe6ls#}M;A-nT!Z%znPc%N9asO%P8vNv-
zIP?u*hGz9sLw<4$cSMy*MACZKo3|WZSpzf?Y%-&icYMOUJXR~X_S!@E2Khmi*9u(X
zkGc*BqdAcIfsYj`88JFd>SmI3Ze>1w;oV!UP5npUQD4Wiw@p4!oOn#u6kLzC{|Tv1
zpHwD^J~`5EOFDioaKZ`xj&L8LVkJgXtyr^;pHbPKP~`)-6bW)#)M}3mIrJz~fX8N-
zIMv;9^03#DtdAYsuKstcWl}0s`v`rsOT!;RM=j@G!NYk@{7tS*MsHidmCWpOcSZFa
z=~}nr@~w)EVAJq<79lx0+*9(2t&#X_-6C+GB=b!lK+j}SBP1RWD2D{?!K|Il2#Hr{
zg!<8nzzzoQzQ?<9-}&+hSs}+}HgA&5jT>C98F1+-aaq)y*wHTqnfE6I;OCQv7k}<8
zKoa(pXq<^Eex4g%OPNGtx0G(`aZARVS<Q7xr(MX+)t`PWDVl$rg%RY^v(V}E%>=?9
z6whNuaBV3==OYmqdco(zY55~XFMy0($v>zNBXzX4A+nfIfrzjc^=`kgCd(cJ8gc+y
zwLEzy<=s!5_CqCnefu8uX{uFGn`e*N!eKPV2`GJP<n@w-=DFInB$Hl=73Axyjq?HJ
zY|xey$`G;mwNE#G0^M98Ws<g04DryXMCEgo!r#r6t2B4}N|z$BYofKUd-&Vx&3n~D
zqPk5I2?C}C5-oDTaR-A%`X-;p{i{`1&jw15NrJlz4z}3v+&^v0_WbTr{_|*~(yO2Y
zArWQ)$B$uB?^%J@<Vnw(+0%sbFi=xznt>;1b<D6Mo2=%IOuz}qEuPj&avQ}|u_k2L
zsW;h03?4-VBX0qs`Se%d2ToWQWzvegxjZ>xIX8tX2SueAV3L;Wc`qn`&H^37<A`@B
z>ofp?$>A%>ggS)WFR-~bh$(nt#Wr%#5eev7C7BC5jgpNulu6hX@OD&9OK|?TeTYmj
z*k+kms6REG4*Vv&2xak7ZID_TI&F*Js|={(rcrIEf|MPNILr>rW##j17Yo>vJ?zIR
zlQ*_z=NMF*p00$}5=>ym2tdaAdgYp!4G2jZnBS}7GeNucxg;}YBrxMnhLZi64xj}D
z1%J-`^H-2#HB&mWw3gveGWJ_;*zN!^!B(MmV0d@@(khq5Z0S2DB;1}%IUQ!rH;MfC
z<-{LE?gZ8I2zlQ*J*y7sxAAwO(9i?dL5I}jhd9!_33?8c1zBGM$91lgtNy3sdY}`2
zkUQ<P=!rvRO`sK5>Bj`6WMPJo#)w=y*gEr|44}3A%IE#hZF(MhYvSl(p+lb<n*eKc
zMmuGSlvVCBVgUknxH7rcDA6_elU&K91Jk8;M_)D<%JD+dwI6g<j$F=1asHW2-3R-E
zQ9|lxIZIH7;)2)hbd&hPbJS#p3B2k-Z`>${q<5P92F8d!>Y7=N1!L4h<pPE;)<y*y
zdUIcoBnk^xxMzJdAEXprq&PY>#<RpverhAD@>`!lCm!rHxvQwY3E&&+(QTnhYi#~r
zeoj0+mMq~pbd@YfImwDVp|?OLc~hfC@XxEn(ef8c?Xn(oft&GoHN*hDMg_8^jhR%>
z53tL`T@n%JjvoCch9JN8@TwT7E>0<ej@Jm7#7Yow1eV<GWuGbo466KzCq8c5`=1tT
zvYb1-Puui$7N)#eJ6vWLjp?or@*g-Rj8weiD1v_eGpUS$@HZ6*mN7w3i=OkF8LZ=L
zB%K3nZ@@AQkKow|OgyDD=mF<aBrbe6f=gLC_qs;N`pk$}*66|d8uwZF)ptPlTSX`g
zCO4R<cbON$12+jvMB6S|szWRKz?P=}AHKdaEUT{T7H$DSx~01tX%uOc?k+((r9mWA
zx~02Ax<R_68$lYRyF1UieV+5a-?^@H&L953-t4{CS~JERb4-g&6+|~GcIN|Cg_|t?
z>1>41i<}ou+2U|JF}|Q(k%+jE5t9-P+qV}`lJD30qDy8T?r-ZXCc5`UO(q9Z_*J;I
zr5^p_;!l;PjupXT#K2wY^V86(i)L`a1AfSpnP}tR#MZQ;A01ew3yB8(SiesUwcn7J
zdtRUH>{y;d9X^P0%nM`+m6{oA!lzJJ)}b(mViDMY>XcyX!WzIip<5a>h`yG7>w}^z
zZI*02)G7=*$3RQk4Cr<SopufHI{h=zzDu5i_p3HFXZX7-wBZwYm6<S^$Q2tP9xG8A
zPY-pxn>sRIXyF!2=x!BXeC@`h_kh*A{MgTsPt7lTe`)^smR9R;{w_=jf;8+tMF1`|
zuI&zw1Z{oVRmk#EHi&`Tv@K+cJ!R!%?vEZ2`D=S)!oia|4RcEc|1JMS!4U9K3Gw_r
zH^OaCKq&H*&X@J?fyD^~2Ub`fXW_545hiZ|Tf7Ci=I^mV?7}5~(qjTu=72iv&lmt9
z?y|^={`*T(q)6Xa0t8O~v>*C50Mu<a>u1A17w+MZKRHGJM=jJ>6gXx46|L-%zrO>1
z?8zqZV^98xkay_Y9DQ~XyLUj9DoHrRpT(ngf2Kw2wi`7GMA%LrCRh5^VnMIo8yl-B
z(F}HQS|-Q-HK^<!vTWd}LA{&}hz2dvy~9aCRDrT1uyv#_rTVMv%HZ^qTEc(O%%R7k
zwMR^P1lWPL5PUXP|1W=@|IJ)6=v`p*gz;|)Hm)#we+W0`?T63q7D=}P$kCM5^Snl)
z?0bg(nf1i!)hC5sch_kOh!(yg!U1UGnsV(#`{x$I<i=omUeM-%r@5+ZJ8>SM8zfk2
zaSzxON~yQlrPXm$f3!O{pD-S&{W$d(|GQwbYZrujrY}t3cD^$S@BN$@(Cuk6n5@!1
z9`Nh=vm12<)-Q=!xO9WvDB!eZzZNAG7aNN^dpu?Uif#Hnn9Eyo7MQSbrmRWVzdkB7
zoH0eB$F-KF<F4Zl5%Kgq_07UDpDa{UBE^5|=Q9G4iD&%;`sAUFnt;JZd7<n%S)eZi
z_V(GeFo^2@2UYSd^4?-)NVqq^*sOR;87vUd05btZF#^88L_xb%_e->@HYPO;P`Qf<
zCySJK&4)&n7eRRU--7Den+%C;Jm4ZHb6Y<NPR&2vt&w=)SZ(a`w_92f0>Q<_74t`_
zc=BmGH@>i_XhEc?nDAqfb9J7MIM_76i(2`}T<<yVA->nhP;$?f3DDiRIKIfYQ%Ds2
z*_``N-A{M}0_<Bdu+l)Z8g!ol)B)#rMt|YhoXh^K1&M|N^iI0qJN-3iRFM*}sE?&{
zO}4ieBX;hSbz)1tjp&0b59Wl>x63$#bFyMuSndzMZN6M|gee`|FH1oJ<~S1Ay1N%(
z_gf=@{kS*vy>83>O~d19<^uZeugVFITjECZp)8t7naUcO*}sj%^sjsY7I1d3@DXr`
zD*{SASi(y3LC>eOI(U|Eug;12ApBU<O*W?~CXS?DyA*Rvq$QWVW8pJU=8KPTA0i5w
zP*c;(m!;W+lkuUjPr(sp0NzZ+$cP4b2Ss6C@2LsG$v3;S^8qi!WO)7t$B4+)=3_<x
zNzc@tED%!d16_{)Rhhx;4Hn*vOBEXd8qcf~<HL9wEW?0K_qRnoqZ%Fol@KSik+CSR
z`YoTw|E%M_r(`c55ZNSkT9gRTEpF83E?5$lbGDdV&uKBJ<Jl}tNPfF&{SQ_RbQ<K`
zgzk<y7bs(m=_DF+fy#Hrd-x7~nHXlcr+{Olgk(Km`EK{3B#emb;l_*3YWB2tf3AP`
z_g$gV^$&D9b(_LqOR4I=`@=_A(GWn|2eUQ1pW%_uRMwX%p?#G;;3HhegSE#*ZmL=%
zS=hXu{uDk@y?NrXF5T*ZH9lS=W03ON_~P3P=3(eRWF~1z!=3r>0#oosn{${NrNye5
zA9oLKW@^-U?|)gPf4KntxC)Y?&)?bo6{G$N5N!$!=uU=%Fin*_7d+M1JDV%DXgu*i
z1qGTyjz5UAxk!IaAr^K*YhmSwo^C5%wcYysp(3QV%=n*%w-zD&9x=^2=Lf86jVQbP
z%+;KK<(MJtj|kud=|GZBi=|-Aik$!5Df+PMix#JOpGd6)e-Y;sZSODMoVG98Ho9mu
zPyHI{k4;BMw(_iZz_-!Cjy-oYk4Qq1#lnMt^p_nL+!E_w(*rD^C+3y%*+Syq3iz<r
zeAs^OWI&u{rIQ?%{<S;Sl=}N+O#w>`dO4_>OmhwYyXB#V^GIH}eR9Zg>i<y#Zx(bA
z0OZmiSRkvCPP+f=F#i6a#!##$5p*nO`DJbPw+!yhK_Xy!I?CPltl__va1<h3#F$d3
zCmMMr^&i#aEAsyo!pChSjFRv6SYgx=(7Fw6td9BKQUQ4bUn6KOayN0k{(rxrF9gGW
z`}dGLnjS*R1xNkNFFe=%e7OMi<oC<f?`AN3KZ76^|7<(^^dI*FO|y_gKiYtr2<a>P
z>LGU*cfP{x$}X#IfdpS?mg550?Ce?Oeeh?Qh`*R(!pHxs>g{WURen}vF#<&VyHV#P
zKjv7fk7?U5KCyCTq<6D&9Xs#?aOeM-%|pM)PudJVOXF5T|H<jHyjP85%giK&oJZ%_
zWfS4mjT}^E>PPBNnQ_f5BDlbTAq9ExtCtK;NFa<j`_mR*y0;f#cYpjWU>JHUc<TRI
z7LO49|CPmso^5ep={pb9J-GRaL3vZYqL}vE8o$?Pr^`OVDBGg7bC$c<9P1EFQ+}|$
z7}f`y@IM9CCcLf1S<qg_jhFhD=krER*jI(A;iJ$d-@P{3xepC4@U^J8C*x0dkzRw!
zY!8T&iN90<pY>Ka9px_3c~6KD_Z#`Azeew>(nrs6*DH5(7faXmDf0sMz{B`@5uL%t
z9})n+>w(DC*~rC5SOod%G!T(=T66R<@-J(_5L!KN9S1pY({jC_;g1mCM8wp1>~?v~
z-U<+j^epe8`F3EJ%jBHQ*^%8u8o*xsCG7e75IxiwSFoq_tX39zFF4U9<EQpKlv@D<
z=?gA<+Peqw?Z6wQd-964qx4(<eU!Or(nYDzn%D0=;4;Bi5QXJk-1YaSvVOUr$9y(R
zUf%tc08U=#8!9FsN1TXm)87Mmg1cw+1ii@WBO~q6j4>abN6Z%dLbj5ZPKOtv5xzP6
z-mWUXf40rbuqo!V9lJ1rJlJ>Zf0Ujy<d2~x|J_>v?pT){Q-C{RTjsQXXcR^NyPu!Q
zk-MFjX?z0UO6!N6cW5nt&UdD_Q6MycWzE_iJ^XJz1hxV{ZaH|nXn1Cn{NG<d<p~(y
zT;mXVIi@7m@A{SILmhra_<6r$Y}OHcCtm@nF%hWBSURXb2&I$U{6{wnC&H)HW~^QF
zx%^?ljq{G{o>0$ZnZ^>&;ao-8GrLbWQ>%w}W<9Ke<5m+kxlF#eK8f)A!t~^dF_3w<
zB6<a;r%=_OzsKH<8YAVg_~YB0-&GH(x9OvsR?@Azyk+Ul?=OHetF@gg%)2<Oe>~C;
z$p4*ZV^Y^q$yt^0BI>;k+#S9l-1MWPI6CH$gz#lIG;59LZ6A+v{8PaOq(h*0-+ne-
z61#A>S&hBX!}NM8WwTPR|G;}SeKNUlGL;rJNtbhN9O0a3Z_>7`kL*>t?NiqZ)@^mo
z!O!w@k<euWwk<P-;U-8p4ZgdXhi5;6*}_Th)}fK=Nj_{ZE!2U$hTNQ}ruKP0oED-M
zJ)Df|wXbTon%qk<3C-r;3pH}j$#J+1)UveaIx{lmHg2L7be8JoOF{v6@c7TF|H5~X
zX0V@V>jA}uHGHF<H;FsHd2UN2+;!;S@6z6Zz)+p8&Soj^(PVtiP<kYX1iB<6U`f)_
z$r}QMAK<%(iHqc8V%MwarUE=KGT<(nfu0=@Tmxy#M5plr5S)W5g#bmlQvK%H&V%du
zTtGD#1lTuF&EPCnc@1O*ZvkYTTNyOv3A|)=<wb1&O~vkDGVkG+RJMEMP(5i>kOgv)
zG|ZK9^G<13*#5jAnTsyg+NEsd)EY_uon&E<tGlbO3BscjXh!%~h{fkO<Ul`l+p98c
zc`K&5#&xJ2N*96~8WVr%3!0v<V>R?=%HMs#s|89<K<g{8ZYmx?@kKWGY?FC+c_7sR
zToG9lXJ_l1vu&NasremKP|62&R8dA98Z9Zg-0@S7^Btho#Wg()3Zd%7nwZ6JE5Im?
z`~{aemY=cNdNx1@2k2Y{*35vC2_OVq9xlC()oTKs0Cr8s{=;LS66D=W5im^)>M+VF
z`k?JT5R*!m3Y1umuZ~yGYnz%pfi#!RT&;76GP7&~y9k3elk3)~2un^qZV_&z@I|Fb
z>+t<7PsueM@5k*u2qd!zWE@gp(~us|a6?*<>F-TX3c3r>Mk?zz46P`u^+fU12C7$~
z+MK$yDICU<jIf%p7GNq&sb2#gpq+SMug5dJpK8d2#O4~5e2?k|>L4|COG16>g#7?(
zeryKHc=fyV6JQ+8T1nkva3h!I4^V4{QbyX7K#_sBS?u6<*^-hJ$$HYbVX<iTM<V7e
zW-jwl;Rm3y^Q+v(K8ndILv2Y2bWfIo$tC?Mr9!q8^;CX?AiC_*V^L-31X>vevHcCR
z@hp?%cOd1oG|4r;)^zXtMx##8#N-&Oj(rCtmMj=}H7!hd1xh--fuy66MtKs@N#wTt
zML(vzBco{eyStHetZ1V#p)gF1ZN&RK96aB9fE9>k#Jx_jsQ!C!gyZ0xeDPrUY;@#E
zy;g$guxwgv=J0<He*&^(fYGCt5Y%{Lk)N7ZP3)?a%2?C096B>oW!4I4O5dw9jt2od
zx<{`HyhW!!s>(pH<p&MLTuBjb(qwZB+a26t+_C7xA|T|z`L;#gT0BC};6;d@$w=BO
z+~kEhYIr#b{nnO^2I*$51Dj^t;s>>9tz@9#r+nYxhg|bHxvrQEpG&C8F?+-tuEu%g
z^W)&>q92tf7ZVDv_ZR)20VM@ASibkl^nk>M<)ZVw;DCOtplOWYY1&LqR!~csyXS>>
zt!-H%^|wAIqSV2h*U)%Y3xqpnNO7jnRB?&*^GV5TKj(1nUT7&bZ`zDE55KWR$f{f2
zR6qMys?jA^aDq8GhZ6g6)5i*y6rg}o5!+4(|3<HxxcIw@)>y^Vx!8+p<KMrXe<VTn
zcNSz#HKGeJ?l?uOT5MM8OiOl|{I5@~Y&VN^OWwH;K@e***tA63y+EbC5SMWpVgjd(
zLtm!xFyxhAV=*ha`}%w_+T*2iFwx&GUtySyC19JWaRPTf-h34-ScNRzsPr7*pY8yG
zPNiV{GfOm^Z+~XqgmRU509#R;$Hix%(ulj*;Cfiv543_BE9B%#A2xVf31+vU@@io6
zlA_6;jvhCO4ngsE=js>r4h6*=7uuaAJQkCMv2#a2S!v?vJLu~l%0`=_Mqj(RS&mVW
zAG=B7PTeBj|FM~d=M!5Ltsstm@Vmd^nZQ^b9c!+YWF4zW#KM%NW$Iz7x!BGrD~4x%
zY3z&bZ{vqxA>LiKfYMHX@y~685X?RQS9#N<0*33$${^%d<N_f_7Jn=;BJe+vg+3cF
z`ED!)8;zEl3hkW;8qR-8zrEkHjd_l(=SZZ@kJBeAvtPn`{wutC2?&n<@`ySDJMT;U
zk3x8xk6_not3Vkg)}KpHeiS)n$7riODQO_pbfuWOX?PNSfT^}iTC$GQQ)II~s_@Q|
z$F4xx4#<m|RcQ6`T=_v|@!lKlS{2N%PcOsQ5#~&i6dKK;fKPA%WLLGdND{a#zS+>E
z1BJ%=zM~tnav-|eh``-cjIvi*L`(Pd*18Cu>ISq&RtMc)wAW;R9&fzw96cWa{fpw@
zoV)H#N5SlIN&gtl(El=l{<0IYb4n)fk$K{$JheOxVlPx+rwGlhp|oC{TAxz3SD*uM
z|2dAEla<M(GTIoNu?fY(%^P3oAc+@x+?F2Q1ZLDf8p|NEUnv2bsrcfy?FqX1Zz`$q
zU)4I?rJFCbyi_Ei(tlpFq(F7d9dwnNRk|){4oGrihbeU1G)*A~#SYqR*zavTiz7t4
zf81|ID%Vp>tW&@eC6|4hfCBMlSMYaN6hK4__6dA4L~d>+SmScpT3u~jbe=t1W>Zt7
zHrr8VBf&+^M^4Yl4^i?*=y=H;8Tr+n9SKQ{oZ|X*ACZ3CZOX?3r-SCr#rwT1G^?^^
zf7e&L)cmdYEmkbOt5vC77Roq2o&^TBO0_1pYn!tR%KPyrl@;+V>xKwrq*<&x_`gg9
zn=nMSR&r=+-GNZkYRHEvEi=D}S0o+g&Wv$2oI?+mqr-FEaB_OU=!RXdd9G2B5d<Fd
z><<iv)A-!Ha!*(3xcoSAM|9|ZLVD3IZN-mqmAlTiZexdC(epJQ_A)McorZl6k=`d@
zA;zK{j+)$;2Sa$Nass!3msitvjJ^_%KNvy2W-816ku1|<h8?Lhvc2A(-~TCrtfH-L
zZS~{BEqV!_X!{D2?JH&7)Rcn>HG)OX<v`Q)O%-{5njGV8pr?rq3CrelF=UN@zY06d
zlic#HO>VY`DxMS&KCL6+?oS-v1E-TSwh1MytulBS#$gzb(+M3T`I9BeN*5TYay*=(
zARkJ@NU^-OdIMwAM~GKVb89HkV24pVZ6Bi8s=DNz{N$?4dUO1vm-B9RT^xTN4LK|l
z7nULnFDHi-1S_(wm(HiIDnMkQ{d1e)aDJlDCl3wt8-g@xdWT;A+4iAc%IUzMTtU&8
zF<(B_s$EVLB91tL$jEK_&aL`4J#jy&?X$89ls+&lR@Mkno3o(9?T9(!2z3b6o*4CU
zRJ3dAKN}0Qq1~$UgFz5QYpV8b093)-{*<Zh(~;NdpV9_6fsC6W;xZo+1DP)uQgmP1
z_;)wJlNd?!S%;V2o*9l)y5cb4yO{W$s_^#cQ`?;GMgnO#+zHomV$l?F^`rLLO4735
z1+PsAcojs-3>Z?8=xs%6@Q!B@Fegt4qWhysA`s0a6f@sS4-uq(H3~ZG5xS^QCOmHs
z<}Gb0cyq>Wbo+(uj+{veXrB$62jdQ`AD8EH6bt6s=k_p_)@M2RV+^mAdEf8ibVleg
zyu7Mg=T~m>7k-isYO}d8XzA?Q9B3RJiJ>pzqOwvPQCR|DHh1Rp#M+vdxL$K6Zj~--
z9dWJzF2?ml`h)6seg2n;bDBJ|70I>@3{NFqUIRTf8_q=99KQ4>w!rf~Yx%g_=-4pq
zi<Gpry5@bG^=#QwRv$alRnApr!>ni|Ye5U?;6*-^?{-r{Cwo)|H~Xz;CAM`nXbTUD
z{W;QywN3C~r@oUGhJ7hZCtn3!?6Yv;8`1CTnDTJX4?zzaB5n-bt~FHTMSOy}<!9Az
zHQs_G&#y^FWZ$hyf6zKM$dOlIOvf7WNq7Ts%S^|>+E+UT*`td<#cZufYbDIC*;(#A
zRb@%Qt*RPf#2kk9dNxk*0#760!Eie_#FcQ%X;@~mFP)dVX5R262cIzG(h>`ZWgv-$
zKR12ZHbW?#&~~Ui8Gox}Qo;EFFm&VUV$VPn2UUJk=R9>u|8&v5?gh|F$>A6V6*r{M
zD=ha%xc9n3&o+6|Q6dj<XU}h!9=&)LDaRV9mvkWI6-^SzLOZe$cL@7O=IDb*$x$0J
zQ`=kJG=%vJeQQMs))pM(*|K~BybahO)a>sTkaQHLJx(NbN?V6-6qwytqRarTd90Jl
zKBd#_O|E{)8+;s%?s(JBQMpwW+w?LLBwohq)jTXSTrchiuVXMwR)VRv@E1aEFG1yB
z>}yp$j-4Z6r^7_?c$~QQXH~0Na{1X(7gI~^7Kx3Ii>GOt&4U@?fLb>nA>i^SIQWAu
zw#8lBo0jFlMJ489xp+Q>D$S4s?U&MNasx1l`(=Oul@?jqM3%^7L#XmaTA}O^7=vR#
z@UFNc<l>p!7xe39WO3Lkx+AQk-_Ay(Rt#R;R>^mrt#GM$GR0k`(fl)6$T^m2S_Xpk
z{5u>@8<n#uNj#kYw>Ev9gYyf$2!a<LL-PC|Wfz}V9k|_v%N*RS_t&VS<(hCGG=^$Q
zmc>ykax<t(`?e$T#-17?HOl!BFAkXJj~mXojZ8SDzN`L4X^v-iwDhpQWJEMBfV$f!
zscYvkkt|BK2#Aw#uO|o_d4EDoW9S-6s|$5tQ3Q-41{godZ_=ClhQ(Bzf@a^6YX3%V
zhYa5bbelm&Eze~NDfee^2+H55OLanvt;4!myc|A9b8IIs-I>b1O4A%R6CJ^h8)U-G
z%Ak@>?cE3BStaje=a$r~twL*GT)~N+4X3;~t^QO;a<|yHUlHnkP+R`@49I~qP@J!@
zN;4V+cj107)U)Tp9M^nwf{f1MhDgxVNh?_V%5<Ms)~j<RH>Awt2tC!@3DugBN|nij
zyN<Kaki0OlXz=BBPV|Z*CFg`+ps>VaM$h6&TwRQxPCgMy0-vD;8691bcc*r(Rxo$E
z`!utSdPh+5#b?IV70ePp7|A-vD;48+;dgIg=dmporbWFSG_MB7mrmYOX*2a1Itm1w
zy6N}Z!zqp2O61uBAEuP1XsQ3Kx-_Kj`ecBOZD7>-Odif5(ZJR(HKdJ*x6+7J=rnO8
z2G>2i{b8Koe29vcK6?VGO=u;MD(j^|6;P)AdWjFWL)FSOc59NHCzv8EDPnAvFCmgY
zz<W1N;V+nyzwuTW@`*MB=HP_@le92o2#MSy$epxissP#cm3N<v3_X|E-j(-NkvFlR
z>7IP@eh!SSyv?$sO4+!Y$A{Yqn||DvzUFV%tS0Wmw4FrEIpT6o`K2p&5++NCzlaMx
zg-Ds&!P|$(Get=IElqBVpzI%YqDKUW;wTNRy#K|y@=~9sT*o0z{wwXCWfWr>5+flI
zzblaJgc8!WXLH**g-O_s?Es%;e1_EYOd7`6tRZ9oJC>2&<KsY13?2I>KFZIu>*6F+
zBwm($`=5z}7H!3>tYTP-O;B1A;KMI0+k>KK)DtFs{Uf<R#~`JFL$@Bmlj=W<+E&-{
z<QPh$UkS3=1=*j?UTw->eKY?8hv4f2al;^=^Ml)wF#HpO-1@Q8JKosq-3&6i(CKoi
z&R)YcLNe8t_~uH>RkAV>+Q^%)UNc|6?~#nD6)I91%6#}N#)h09N<l}I!!3_wdRfdo
zb=vh*=*TxRwHkv6UP{l2mS=7F?F_yGl<MWQ-r4mnEd}OlTljGnirGk7>Qp5pQHsy7
z^J7Yk{Y%QVtmm_#x#haV(xGpV^LgX)VI<qABC3XLu?wtbM~vDYf!<&MV>mHsrtd&=
zS+ALdt!6?E0$uy%SEgIheivMVwCnY{&zB@kg5;4z9y5qb^eN4e)BzI16%m9g-as3}
z?`p)*njFemv<{1NmO~MQlu3#hbmonwuEKTS6R|EOI(k%uEtP*MYsZQd24Mo-Gi=~l
zVX%asOx!RrMXHzCki7J{pK*HPd&Y4BXQ3f2eUT(;EsmNJ#vDcSlG_$arP|1@d<(~@
zu~r_S&S24R^h&{4|DZIchR|_E$?mjD#N*w-x@y(D*QVf7Up_lU0EL;nahC4u!QicK
z$o5_F%Z^TWAndQo`9ne}UpF-03HG#09><BnM=7+J*w#8<0!=V@UHjlDua<t0sv%tX
z5;Pd#PfDX@&f2+k64}dL+Q=P(geLTW=BB~30*i+oKhx{SPYuue^WRcuf^4+?uGme8
z!gO`h(J!@6t2&W#w!&iDNLJv`&XW%eR?`LVbaLFWwqC=++dmS_eukqSMTPCi%$L=z
zDI0k)^18}sJ=j+I7Q`$$Y-lV>0?t*uTv%uVs!toS&1k)bRgDtgW`*XM9Gj)X+c(6>
z;5*GIHIAc@d2{aIlWpV+oqyko&$b=V``+Jj#CwvI0eSZ4zLzTEeTDQ($2Hd)CWi@6
zeM&CUIvGJeU#%LV=6qzX*`@dAu{>wgzB9V77zj+R{OzNLXWk*Pmhm&5;7Yk(tBEW@
zML~WUMP2wlC4DaE8>qp^yn;$WlDKZ>gu~C*Id*a7H2}%s4<%IiSjtiQ^4!G@6LD-n
zd5#Yq>2P=SM$hrwE+O-VMBjj}BvyC{guJ)iL)u{Z*%0^6Z<=}Zyj2+I@7ETZ3rxo@
zFoi$mzTdaRW=OHCV8HyyN#Q0sL1}T+MDca{Nl>{?iZexUzr>GXHi@IJ-<sCrbWDem
zaQ(9_p!$_k<*dm5?l=b%pvorbS&kF<s+2xrsb-8n$ff_wXZkNszg4*hdP@>lzE+n=
zjjKLd&r<!Nd~u3%K0xQf$@L4T$eVw<wpcB1=6NVDBoujsu7jC0_Q1fQwB=?83^?FW
zGtz1fu=r&sFh0P@m&M_e{S8oxZwCw>Dm}aC-C~|qd2-oXOszbCK7chfL|PLzW@pw*
z+|^hSM8h11L<M&=Zvj9(Pm~*9{%kg(bc!>})zM|bCZ3ZH#Fy@UQ{)msB*Et^cIJ=$
zyq({BtSM6fi{VT9#QhvnV6_Nvx8@+u@TIlB#VQc=4ce7^=^3C#)KCe3_Bgm}dOOq5
zNmzbNCC}GQo3t5|ly{%OB??o8#Qy9B9DDknMHf|vlTt0caEe#`xw8BO4ur4C(d~ML
zJjJ|q-t#$Z$`0o1Qvib*X#ETpj4I*^Wi^s8H^q_&<q{<xhe*n&3dA;N*rTgA_0YQy
z=MQOz1p&Hx9N!#N<lq|dmPttYuC&0sDav}{r*B<Mj<f{37y|ODQ?B(6AeqXmr6*D|
zW>Y<lXYg&;@^^8AkJK9_iRxsQu{~3oU{EOsByQ7%DWqYw!qGg>GV1jq-X&Swmu=R^
zv8C1*Ws+NQMV}ivzoZsTcM{a`+{C$(HN_h0Y9*LnuTY%-Fpp+kZex~$<%AM-MPlPQ
zwSIP$)B0@vTnOF@TPT;GyF7C=8+wj~O8lTdIC?Kw+^R&#=DP??&t+V~It{t6K8B|2
zzO%yOZOrj*=qB$0jq9Vsb?|y~fi>8Ty)+qI{O%|3g*r*_Uo9(jB_^V2;%NN9<Y0QE
zq<D;z`I(xQhfm?49aTn_bw4A7Pms=pN3EZxtiZO*(%i6`Mv$oWviUG<k?1w%oB9x?
zAKz=}zs%=m^MwZJ5Q+#pyhE{)Qc|bR`kq%&x%J9gc-oP}h4`BVqb2bteQDR(zQ_gZ
z3&2g66(7S)-!lzGHHqPzGv~HkU`|J}#C)FeWZt@JsLgLpa@v^G%9a6|0#qyAOClFs
zcA^QQ7<lkZQ?`%K=<gGf$i0&-9PRx>)0=3PmPng9IaYL)6}4hQ?WiK-7UY9^T$m+3
zgk}EAc^KX~F$A=KKpD=1vRp?14Gx<&&4Qh*{`4XM-*@6t@Kg8Di^$XpqNzw`gl>e4
z+?yfItv?dVR^UqtVStYco1_LZ1X4`Rk7u)V2j{<&i(92h^jr>ei6eexTjE*r!m6ro
zTcDuZ|0q-D^V-HEz}CUQG;2Jc(pmMT##Y#i@H(UN?0tv-3@!@qXRnBSw&f_})ul3S
zbcAu_wBE^&K-VxP?d9li09YVvBrrph9LH1+km&6#9E^Zl*|f3yNHiYEodxnjC2>OE
zu9V^z02odQxIz;9BPEeiL9hRE8qtB$&K>j1e8=k)#_&JO9z$}i=BV5<6``qlBDU@#
zKJ6B`C4U~m=Ek2pl*0|Bcqw(q;-_YXAyJ{9%T$d)R#L`%qk`d5u=UaYz>%6n_PEWC
z4SpbE!wg*M=ANDWF5|Ymopchrnu;-f)FbMVlUm)ng3WrF5iEZ#Ya7*hxdxJ?RT{)w
zU!~M|91eTVu@T)EDC?XoG1E(F%z7gQbtA-o@ZH7C&NYzaUWLi|+IAUs$d13X2<`Pd
zHf6!?3=u{UrTT)IHSbSNTCF6WUo3{UWY;Z<o&@Vc4U2?A0SkYG(NSlG6#5=guoQhM
z#DCG!V0tlG_sV7N4XKS;1ZtxAsNHm6peQya_wfync9{Cw8=VtO9&14yNWz?I4xdJp
zPOeYTk>Qk0TyPTO`gKDXNtBoq$JoHOrDP1xt9eAZa6zt=zAZ60c6{GaH_T2g!Z0dY
zC8@Q$`=!TMl-Nbj89EtKD+(CYab5#fhz0rzo*9)TBf2Cl#tqTZ6#~4dz_*b|q;|O<
z15|{YJ}ae=5+>rxvNsuPW9iW00EGr8Nc-|*;Y`V^_9|BrCC|Anx){-}d)KhT`dL=^
z9s9e0+M4d7X;L4HhPs*8k9>Tu2d7#Um;|?4DvTtZ`Y3EBuOBAjO+U!T-2POT1*&=8
zV(KkvCfL!+G*VR)8IQI#i81u4_+4_wA`s1Sm}z1J9vPpRF(Z(2p$=+w@uh5|N%z_b
zskL^lAZJHmnNtC8P4sRy29CPizioQVSYh_|y_cE&W581{@BMizi5Fktq`7fLs*3x>
z4VOcZixh(p(dS*Sjuknttox)g|AaBCVI+2CWVvv1;-&8Z*1N3G9MvCK`8s>9xf^WU
zuB?^$L8Kc06sAcAfv08+@(Zf@Gvr30$O~_f5gF$Pj<-OZi_S|6;YK!tNSSQ6bzKf@
z$eQy%8=VEsFgP?~H<C#OdV}=8&no?%Yq|xuFLx{rNX{tL)1}vc=Xi1&_%1yB=yiO>
z3YVz;6&NCAq==E%=r+(sWzNp_;{(^}8*(Rw8<qj`+GC{r5J3Ppy$Fkne0Rv?FuK-+
z+U`AojM+5N^o<YXDp$it+G|kl^%mm31`|m6I*WyA3O@b1`0}rHHAD@Qk38YJMiCq>
zxJ?8>`u0s4>be?)mmnVKB`I$?oAXAB-^2HJCT{xQS^(j9M%~otU7A-KK{P$pO|zGc
zJ9=3B6hEJ43C_j%zzIaRB>-9bCnGSAZKrlRp5K<AihCM4-6aH$3=@A*|C?;IDcG}m
zDW3-Y3QGTR+>`$LyeZ*OYyi6L`DuO~%AMMET{bRGpP#hGT9xdLD796{TGdPz4N5vu
zps$n_bIrAuF;@Av2?u28lYcpTrdXi6hB{y{lS=PWWRy<*fJ;tHIOaDf?4*R8&m>Yv
zudiF<#>NoDB`QHB4N7TB{a;(dgRkU2FlUEHP9eV7!Ezf^;i4|I1JgGoIFv~^2r6oN
zSqKM*63t;H`Wp<e-h7B5{ZPJT*-(T+XXoDap~l={#cexD-)P$!uYkHdEbe&pWJtsj
z3eYi>d{E_7J|PfHe(p$tNkD?|1=*%s1I?$NEb6^G9;-1DL{r`w<2X?NImBYHNSAAX
zb!reI9l=Fx-a4irLuJ^Gi~fq*Lqg2xNk{T?QxvM_2`)wn*OWdfw!aZh4}~V;J<H?p
z3GS3SPI{>W!V}QocntinhBH#ME(eyd2AO{<_L>_nAK}=l`eLyN`%oAnc)Bb&Yb?K)
zqNeX7B3N|FFikX>|7{)e^La9YLuYUqcC#UhoqjocezEn$*%1x9&49%oq<QP71W;&T
zWKZ+vTUiQsNB+&sVZJ(gwYf^tNT%?mz`(QBN!lPYU~W1@4lJjbypMNiIfWO~2Hj&<
z&(Bu5?B4Z#?#DMhty6asKYzY9J$`F4?s@aYp?6dH3H7Kx<d_%YjlUcmBoP4>NNPQa
zEj!W>xjWuexPQD~h`$-#RwuGM=Y8r~UKAX^cv_@G_Q_^*t~A&=_Ho4S8WNX3lYTqD
z*>bnecKTb@qSo7hJGTd-txBoXevHE}^11bn$?qMJ_kR3!fr+XdJTt3q3*&bk&7+_R
ztRKqi*0QIcI&FG)45;N+Rm5pm5?ct#YKBF|GV8Aht695M$Q6rMtoLg1;5F+*ybj*t
zzp@D9gmcj7veCj6l!>>#4&*AMUQYL&SX*vDM}PSY+eVAQ;0HXuoj`(+|Cb!`>~Ezp
zf8tm>#L^<P=Td%Z)46GMEb%XRscG}BOhk#3H@BE@IhbB}=O8Yid>l3%Xt`PPV|gPC
zNfq`<4@_uhOT1d6le#maZXY3i*!~l(vAOW5zV)>o<fPQ>Mu<n_pSnU#+)&|Cqj&HJ
zh;r>v@|EttMdVo$TT2jTepNx?#TzF6iYK($R6?CpxFVgHSJyOZleCmDBdW%O$LeS=
z6<>F+P^Z|+wKywJJgl3G`X`pfQ9Gx765A-2A+LRkr*5ml^OsZdL8Z@j119~{6NAp_
zRUWEn<MhH74u)L2udjOCWeS&Cj;rI~BoTne>P?W6qVPqdJnF5AD9<SRf-;VS1YQSg
z%Nml4AbIRBEJqVM7x!j6EghG*As(~GR3rC{=EW3|D-U`}v=1CYBuKPj{>)YbC>{3i
zg^|Jvh~%!<Y@#t5hiJ``2r9fW>_};nDqHWcD1xFIqkas1W%y8TKi_TE{nD{$wT{|Y
z8&X4)0aLpFOVIwGJNSU~Obd?Cg#8B3gouzY*4`@n!?m){C*lbU-EPsk(p?p#H-=r<
ziZBsZ3@$!ck>Ky4|J;xd^G#+5({s!LZ)#Db9`>WNZ@q|{y(x```r8CvHEULah7#fF
zAOjjgqW7_SfVaQ;&!riwh&cni9cd~^0hup0os7#_muz9KH6h#pRVh7Q6Lk9TgU!H+
zA|3L77@^6=TU|vpmQi5S=H(2Ep*@}l)IELI4sEv5WAq-X*HDm_8aS{lc8Y&L4D_`=
z!14XK0g&`Z5PEoTUCg;y&Hwg#sG)ZRm2fAWX#m{|qauZt{z)LI{O=cSv!}2JSw4$i
zL(Iq@qjDF3@ubQM!_N0rW!wDs6{g@oam@Ac{_=~D!g!78pJfmmx`5cQ?n{;pbVdLD
zOx4NIagtu(|C<%%^!4cgAixLiMi|`gskwTTupZ*tFeM4+vV2v(Sh=}Bv_cXky$r@?
zeFUhkgVX=@imvda)EBeh3ddgapubm0{cX^PV&eq({A(JV&9TszcZ3{3797>%Vube*
zp^$f-8Os!!bSi>u!5<*Mhyfb_W`C@A6WPu4-2g)HOAx{UJbhb|$mZ8o3~?H(Zaq6G
zkRy<n8*obIHych_ABb16hR!xJO}1%Zd2J4_UaHIQdN40sJ!6{e4F7I)&teY|IWyoL
z7(Me`(8b!=*K6Yl-VI=}Sy8{651he>t{t;4VUq@0pCp9Do(HlL3UcRTBi<cHc)vd^
z3Z_|$^!}wJrFQbq!;67Dko0q90^H6U!~QOtAc3?-L)KOcjZ$JGFu{bh-y-rZiOfiF
z=hr>xUGTmhFz60kdbp_L#cc!QTW+0y>q#X7Ib8t$+s%Q2j!a+8-+_rRQP(pgUbQFH
z0d+v-+oXV*dJ2@J7dy4}aK&UUyS{LFoNb-|HfSC11r&?tC!hzQ1rQES5N)o(<j0r&
z#O`ZRprhF}_bze?I*G*M4+4?3{iw*({i+e61??Ij>yc8!Jeb}BW>WapJ<p9y1Jqj3
zr2pK6FV{4LrMCCP<n#9KA2R&}v6kYHo<r}4O>fFgF|wOc+GJ~GA?{boNH4)~l{+mf
z0fCdtSu3`O=RBV*^Pnp{1wiPM>nl}=GoAfxOTPDZ-6QAM!WT8XJ9P)q9676p{reZA
zV(5N)Y|Urm{zSIZ=EmqI=(rzp^VllJhXEyq^64Ls-+HcUX&d`s`h-u&bMHMiuj3Ff
z15W640Pe=}?&=si>@abL>lK(A31Xkl^=#<$7mh`s-60ERCszDE9gE#(Pgzsnh&J`<
z9RNd&(0K8OPx~k8b5-t2`BK1)o8M*4F1(N7@g%;kU_O%VtSJrli1&|E#cQ0+IUuc(
zHhg#FCFNV%LJiWIB`{P{nP;35)v>pZemOe{W0~l=cT4Spi_U{XppsOQXBrS;>Ejmp
z!w$~X1=iLE+3<ynsTF|H?5XW<yz)ot-MbaFNN0(N{QG^P#@KeMnbPTmUY&J&?3Vlv
zh@u=%b6W{22*ld$zx~}A_dykFceddOtkXxpI&oFoctUms14)pCPU<M_UxueiX)MYw
zIh~-8#gEr>AwV0MT5t3S=99{DJ?A<BT$4+v5{Gl5WYD6f&~QZ19cT?Dotf9n)8OX|
z7$cQ~XFr5b;+ZV^4OjlNh<N`fY}T@<B&pV7qnEZ#CK`0ZCU9V(*>_<|LA%H~^v9vB
ziZVSn=|nvs^6}o$-U+;xFt8oyaB6cgZGn`+<Y)NdcPrdgWr_ToN$q6MIi}q*pSCVx
zPEjfE0EAXAL?jbw>9XarhJN%6)65~SmZJ0u1l*xUTQ>6vVCbO9g2hB|Cs#Dt5(>c~
z(?u20K7boS$=rOpKPw*AuH&rf#omEEEsN+R^y+H)%Zr6{@vq)e$hlAJbzGek1b)6s
z8{UNKdH~SfoT?bbJ5kqpQjLS2@?s#vb$sneDk49IVk?_vsR0vV^bfFhCBVe%oF0FN
zrVhfA<Rb=L5o+yEhTs<l(nj_={O(A%TCB++_2)NjnJ8tsH+Ej9$<kB-q_ZJy&gy5e
zmW9@gYQ(Qy1`Ik)2*!_9p2sV(N|+Kj*0*S7$sSRg967I^g$M5~I0F)bq`+(F1TH+X
z4V%Oa%q(w5JuYO-e1-Hh_=aaN!;n`B#Xz29Ay`M7X^Bl2jHapYVbW9O!LUrpsC<dJ
zcj$H5IFRzjdj&gv*|}Q+Uk`4ucLqS8Rhs-JdhR|S)>_tC>@uJEL1iw)^=Mb*>^xLz
zqmdxLUf5)%!680G{Fe13AZ(>x1I5)>cMN$bG;|7Sx(d?a+Q5as0PZJ!OiKw;LlsF_
z??OfP@Z>-}nIgAebLROmm_hhWOzN&{N(v~4h&+|_VjUbXiWOIwPtaNiMz+&9afj>l
zZN`D<z`G|{)t)gHUQYvHB>hPMJuB)FjJD%@PbBDOV(L$(f`zPwKB%uAV-~=25m>m_
zhO@sMhmso*+`W4XDjro!lOV2!PIlt*fz-F0)^hk3hXn~+VwEgtE`z5IBe&1Xo_E+Q
zd)O&Ea+0_PTsbah>mTZP5l#oS3)2p3PBeR~78-0KhT-Y2TT$SUV-CqZD19ipCD>*V
zEvEQ+7s87uXFGXbTS@rv(th2oYFa6=`(*WC6Ajn<uC*Cz1@3(JH!DM|C%(c_D>4By
zt}R#h1vn&2X`h5iNxdHFUoVZZNfIi{8K^pvsXDHKa)0obz$^FJ*!TT-9*rw8sJVb@
zvsk>C(3bkK9Uh-+Bl<Kd!ZYVAkcVZ0E1DF^dPC{^IwOtNv5vb)o4%s13CHI_ot{J}
z!YFu9Po;*jSl>9-aAhq<@Ga;F`CNw3M2A(C_VwF1{mYiHy6PVR7E`KpDWJhRwr0hx
zuy?!vNy_?+4%0;aQs;ma8YDT9CVvjEvLOgl)~B^N34v-Y(w!`(>?<eqg#hRS1=TQO
zenMj)6k~`rs@fO}%7*vjrMKf7hEC4>Iq@`EvA2}I9|FD!7k&cpd{Bd%po|7Z;u~8W
zv~F?VhEI9^@0YE62Z^3S_!RipV~&hofkA9YaImt7T;VH`fj=gm!ymzzao`x|z3?S!
z(&*`gPJq*@D}rl8{YjN#7i$yHA5R{}rp1UF2XWijDPr~sNReojTj((1nD{5`@O^-S
zQ~_zuG>TM^Q@r8SM#DuzRv3g*k>C6G{(j+<w(Ln^a_UrJF`{J~;pz()0~8hC(~+WR
zNckvn2QtjXoquKmMDG*2QULmoBIh(!hF9qp2yp=(Ib~;l8!A}l`3_W8&!n!2G5d)P
zXpD;!RCzc@xAzD=x=ec#6`1*HFFt06@i6+Ccky8VS`dYK()1lB&$jI1g&@F&2YS~e
z5$p3N_M3n(6$iXY;@Qf#KICvthel>e!kQ6={@B5jxHgAU&Ypjx+>CwT{cNNxzhFK0
zg&R)gHpbv-k+wgJUHI;cE%O@N{JHx0c(35%ad;pp^QWNRVf0U1Vz}47)B_3nJZbOL
zNGHXT^*)_XTA;TqDYmY~K<dZP`>?cFs|_TcWXl`hGbU@SKd8+JA$6n~voSUGFh4Sp
znGn+Wt0Kd?0QqFqVGJYZV=&jp`Pt?Eo}&DG*m~oP9`y+eOr0D{Pg%0icuaWjx%Jbr
zKm;M+y=7pDh2GK9tdwfu%awD9iScg|ZkNjT$BCqFcf(n}jFaURDqJgX;9I1Pj0jv$
z70n`Vec6!s)|$fSqr*id5uw`hN2b34tPNcTjIE$D5!4^}thyqi!)`3oJgj0EUVc8<
ztPAEYO{pZ}L?G}4F%xEQk`Cpc*q=`b^fD-3h$lK-3^+_Ukz~K`|KjpJBu+9ysUD|I
zFNgpR_cI=93K2=R9#l!%%zy=}M22#3y0V_>(t(Rev|*3Z&nN_O@&0nDwHV7H^eyZl
z<<9*3BIdr8KQSu|J`8uIuFc4ZdnFR@d@#^bDMk&0T%Xbi$FTFfSNXMb;h6yjJy%ud
zeDfct14IOA(+M2`O0P7QGWX!JtGr}eN=1I@EU$?kd9)M0+F4ucr|O_wtFuPc1co%#
zp9M@97PoI$s62WbTW$OsKi|k2I;C4_D?zXdp7<)ZW=o>3YX&I#qOX_F&GMe$#uCY8
zX-*5Do4vl(lEz2dTgPmqd0eA=&A(e*HEPTv(4&(~H=~Hc(xb2Vb!-s~=Hq*zqIznc
zpX#zxNOD(k<x5m!uCe|xVI+{fEWocybLZ~Ncr$w{D8>c{dENgb9-WOA6SeJH4$MYe
z9TJ#_C>xja-KjO-zY9I3Mcrj*<z8Y>46mkAlV`k0+~eCv<&Y<l6Ey>~hs3G^b=gsz
z1uf&u$X<??d=f!JZC6ttD)60b^+^WOm~j6_xWIf=#{(1H{L)4aLKWNwoPE$Spmo1r
zeYP)$auKP;PAMSSTt1^L&er48@1rA*$f}FOz=;z3Eq{-TL?B#n-u1^a9vOKD%KBTy
zGyct#Xf+JCZMES+sI>ZoxuLjQVauSM%x52)H5!eB4!?(plrv*9sZV%qKRDy^43X;|
zZ^|BTz*IZc{tgG9T$sFPY>0#-d^G7_@;Z1ZbB#M~Y_;G&fjG{zi6bPJ=qXkW0`QtP
zH*M}VQ9Ya*Q)ee=G+8K&Jj?a+OWfbmU^iHnI=gaj>pF&X{$_8_5h4D<{{%E|$k`o-
zWji7QJgGCAwXkH_Ykf!W6VY(U2Mm;c;NsJKX#G&lc0#4f@ve05MrUTPZZGL)8?mv>
zFIJO4KlxUJZB^?A^0=WahG<(^@dXe#cDU2=6}*Pl@%1odLy`ruKf8ZjlaJsaf?tge
zJ>hyo6?y>bf#Mwg12G6c=!FgF_X}D8p-?LJ1RE(HQm>)&j%tqcAraxjrvOsZq7rC<
zr^yykMjBR^^&XXI@v57*qX}nxExuIGTK@GZbX-|=%1{C4g3V{+ukJmVKM`}G6A~Lr
z#x==B=c&kYFnv;MC4|065XDE$MUnlPh}sAdfrC9$9FWy=-%(?Hq~Fd5t^=AglOt}y
zk|Gw?GJw@jhxw>j*E*I|^QNAYu)flnU1%Kf{?%T2=eMV@MFixji6)TtzQvzzK+&}9
z(E|`#8ObCXzQagj1M-F)3q0uwH>I&V4t`yiD$sJtR&AwUjQF%?JWUo>l@wF2)lao?
zT%Xl;_+yi_Fa~xyjFx){%<h)o;60d)jUdD>)|IoPLjg?mY2EQq!Bn54f^W#7KWuQ?
zP<(^=S^HHl@;YR6kBOwJnz7oh9zWpsOm4+RAT-{G;y+VjCT{f<V;oP-rx~%1b|t2;
z-6o-PsrPi}6<PDNG)@_mTT*;aMf)#8VM77z7_uZ$6d(?@1xb-`7lO<+d--hsx%g}l
zU7BWG&u>C~K3&h^!B8ps6bHegN>7@wCy6XI(#Nu}zvREi_cO-OeHOrrsr<y1Ha;Jc
zK-0xX2S^HsCyBFIL055;_yYDIKo84v^8iVEW`@^QCz&Y@>o>kh)fr=B!b6%CE7qJV
zARtuL2I9T1I?01>gpK-}6P&)bY`3#^t@rkd+51(4=?`c5k?z|yrSx;meRBcI&$AyL
zH*NZl5K&Y7sC?b^{*=U653rCrc!C7c`%^96tw!eQpUA|hdQhHq@Us^(3N<%G=s;WK
zuX>p~<907X_;zWIdwQk?>0gv)1nK#|$#^s3nus_F=ic9x|ExW<@t^_pfP&DihdThK
zd+Y{KO}kWrE3}ky-)q!;7tMy@sMCw3CM)SB?F~$~Cc|e%)(skFnN+IwsqHF!vuY{n
zFQLfMQS+-5QQ~t}RePyN&wVeRK{Ww<{r#|OOSE5<<66^c>fvBY9@5M7uV&ag#0tkt
zS!-_{0qF_@Lf&uy=tL5SxiG`cHB2@uL#1%Jt3#4Z4iazgvVIuF5icTg>GA7Y)HeN0
zPX~Q<riIK?YJ>rv7BD|Wy{d@Rjd8mN0v+1z@s_!zeAf4$1gOSFjVR?=5R0hu{)@zz
z<HNpc+o!Y;ga#-6u(09L%?Ay;jQ&|uULbGBDjtZF`I8KQ1wE}aZ9FSX%rKYr{tiC*
z#)TpCsv#bkir~&jiKb!!Th-QTEf1+<44z3Z`Vn-mqc1at+RC(n;Tt)*P`V58(^%tn
zg=Es+N_LC8zOb}G`Y%TVzv0%%FFL5ClO%=_Rk4JpLH>T6YH9#7Hu!RiB$n47AZCZ(
ztFvMLOzE2Zv7NZeYA3=!BxztVU}%fa9DIj2dVR!fARJ?diuhPMt*b7Dgbj&2BwxWC
z@DCbg4M~g>Mn^i5+Jnw>1(Y)#+dYjbn)LjbzSp7aDj*gE;L;Xs>7N|I_egItTHqAb
z<$fZiDUenuaLUW*CQ(%IHFCf8D;=1V#bD6$-=l=b^u4a8Loxy#QfZgv#9Y*5Boq}6
z#)Z<zP*Mg)y7fftwKy|0&c!`FT37Zj(#0k25zKTWz$dj+FLKEEP^<Db!{Ioo(uVt0
zT;>n!+pkhw$W_;l+YMidV4^N5Hv0|Meu(nzeiOduAz_&Cg$*EfKy-8GRZ@S4^OEs$
zf;AmYykY)Va3<#VPz(iKC0ibhH+KYLK3%k;OIzNOP>2bHMA-`|QSkHpDTCd!Ez0s3
zJu_HrEPAB!L+vIX<I^9|(CbGIW&e>JRXV=+9z&ZT=TcS7maI%hEr{W2Qazrs!Xo_&
zZv!nV(q$ydsNUqTMX;Zx0z38hyJSW={}ksM`2B1{%v}7o-loF?C;29u=NL6hTPr*{
zY?%ObH7Q3TzjX(Q3uaG<cqrt(L(2G=6xmRVZj@Mp(|4t+RM{h|1U^eIJTo*8zPLS8
zwAN&$v0^S-LqW<E_pUSrz9Ppa%&8E<L2YVjDJN@T5`~E-W|Zb}$KjAC-LXl;$U!Ip
zV%ZTlNmixrI(Kx-Q&C-F%^Rp2Px>>88rDvgzo3rLqX#2m7!sM`!I;Gcy3xHSuMxn*
zl2e?qW$71-IL+$E{l&ariU`v0Jd;&g>d_<^Z#*}P4kGLa-74+{Xgx2EF2K`)exk@`
zaX?a5Mi@dB3LxFDas{1HP|Pj`Mo^{#k1PF8jhIbkDi#E5f!piO?ZR<bagjbwn$5}t
zavy|V9tyXC`K{P*iEWohj+}D_A&8~YO}kWCG99YNxvt+|%n3~?pws9F-y;GN1CN!-
zhi=MNrK&K!j3vau4K8w4-66h|DglncYAqLO=lO)OH`Ze)&tTM@xEsA|)Nj}M-^SV$
zDYoXu<)s1~0H$wfMRPFZ>J(}v!*+O!MVn7ced%|*qj)wl`aafJIT<783WpK&al*an
zQAugD&L&}X^|uFuVX2ate3uGv&>R^xa8{$NnvGrxa#Hx_!D-U8YtV~gU5O=?717HU
zKjl{n;av9!&XY?7p7GaL5Es#6??a&<ZR|EGsd;P4<pA;n1KYP47okZWfc;GLZlnVD
zg=kEXE}OQc@w}^s!6)Zuz2<SRsuuwYXommk%_vpPG-ja_dLG6Q!Ust9OH7U84U=5k
zwN<vC$^Cx)EUw1g#z89*`>XIY-w4b&9SBL1JFwP+c4OsAvPizZYB2~l+2cynk?a?G
zhg%bI#q4b<<s6)OoYAj&b*x7kt&>)Pv%~xQCDm{uS|NGuOn*qE{Cj&e7Hvt=Y+O((
z4~e>4p$jJZ&CA9{S#{FK2Kq~tT;vFTF_c=<#*kXj)&1O=q6=*w6ojdwT4`9i+u-eC
znf$PNYDyvS^Wk(@Fk<;a@xiGJVT^BcpbQmu4X2=fG@Cp0tG*{q|C5RaZcdvQN@S3x
z>y>5{%qvfutKf~cx6z#}-h%_V&$Qa0skZ`1y*-8-v*SSOE$(AJseDh#s93m7D^c&z
zWxFE0hQW|pml!zxyI!I-meXHWoOX_!Ta9x@6dk)a$6^127BbPaE~BV-kg50+Y)747
z*=Kgm=TqW~lyXrantomVc#-c@9B_73sjxqUydYqBV{f;Hfp{Ng=lR8{fbYZtmP2>j
zueqKv`KyGplk-6xG5>MU#qhL)SCoOrcJ6mC2K%kdfV>dgx|dHy)PAuod{Dxw&~7*m
z(%$4*G>KV|Xuv{Fg4dKl31}J;uY=9vvvdC$xqeN_v29|`yF@d^lAoU9N?>kyLHC4;
z^(Ih!Xh#;~s8RW_X@kCVxk}y3?nTd6I5(CK&J$$TdKjE_gw@22?`86LX&|+DYdE><
z!Upxr`!wbEv~!28=MQ0za*6de9|bFG(lCVMa<s+vDoj*KD<(8aUVZT|UW?W`csZC@
z3Z$bQ<KCgt^$^xb+>g`F3C1p(I@s^5<VZ+;0zB{a0Bgp#9aj7k38f4e-A94n?#3nl
zV2A1z8ay+6Cjj_!3}-Eu&1|Y<W~buFo|K=&?!Sc>SmzKL3C57_dPUjvj^(xHH=b}-
z*z$L>fr@se0K)3R(Bj+Wu#w((F)#eY?oR?;6ce-(Y9?Z_6Hb*v;EWnqu){l0sw7xQ
zeYqeVZ+on8TC`&sH8ok~H{{@U;@c_rs;Ex~3VaP()cW$HdQtlZJeiBFKd1_E>zP6B
zN`8J0&x7l=yAv$2c>4mJwj_+vC%Vx=E(uuARUs3#^H!I?_ZO$vzl^-(v->mO?dgb+
z1XGCgNR+0tX7sGLRA9Y_a*pk%N)9q*K*q{1yEQ5=zCM3VgQ?;bFWEyA4O9@aruLz$
z#|0VDA%*i<Hh4QENx_x^y~Nd&uGplG$_kY(BG|eYri0}ANzSbW{i-VFJl%+7k~ll@
z@&tSitg|AIRgy_0t%}RN!`<CfPyPI1zo++!n`RR+H41RBZdKspDD}@s)V>{L?_Qqo
zX8ati;wTBbXhME<OhL8b9<Owun9Aam+{T;6v54dU<P(K-m61xQFds<NjazL!Tg`s~
zk`d#{XBfpn@<YyqD7P+lt-_(pU_0b*EuQJ$oCo0cWm5&XNrp9hFEg18T(!oWY>+U*
z6z<^LFKA#}_z7|iHj=>s+mSV#Y@N8XUH0ShmOASDsKx3v-$iHs=5*%lf3^3OaaCtg
zyMX9`lz^1d<wy%iDcvHibSYBOAuS=@ASI2YAWBO~DJ5OfjZy*<f;4v>MjXd??#KIn
zx#K5(o^$@O_g;Ii^{n+gYw{hRm+dkh@ha+0ahEtLy<qxoqtFb1uLp?k<3|ksf=9=D
z`^Tg6*J@0=9B4d<YRauvpHvvo*b?2e8^m{r=B>WvKHb8q(tb2HFYx^{t9x8+R<GGn
z(Z<)8S$7m4dlNb^-h3fL%(mq3j(ee+N3rj+x=GB}+w#WvSqbaC{9}RWXLjW5FGpw=
zX8V;fnaz#%+Ih{8zv-?d#)}tJc2z|7=L>NcO;DMR%Ie+Jy6Tn0tW}hE*O04C6{kfe
z>zPEW)t6fdPHm$X2nRN<kX>{%R$R>3yox?kvTJ^U_r+(Mi((4O<ulr>U!EH7klwic
zOh`S#-#EBITE|d@A*PJ!crL-i#}&s3L!q#M$;7z<e`jQ{hEV?i6re}%7m(WM@Tw&^
zxRV_Brlo}eycQws;r^IdiitfirF{KEZQDUrlRSoilgrCL93R{+OAi;ig6FtA+{{uv
zUm9u1*VDi^>>aoeuy+={jmf2`x5$s(_ij~n<5=W`%cx<D<#UGO+wORvtY~gl?6a3?
zWqJeGTgxE9?AzUmH*)wcW7G%FDqnnmP5=7JS8PX)cdOk5mmSmV?|v||4#H1<DUM7b
zohst-5tWp-$tAL7-tuYd-jiESmS8B(cve_e{PW|AaDxB9+;GJ`96fFB-ZZh1=tm<9
zhQk~ic3^vj60D!uOiIt^^g>gQ^W^4>$6i{#SSfM`zt9V9=YF0Sy{IxR+dH%ZOvm0G
zY5akNg5_ufc^0RccwP<)-Gd>t%jqW$0;Q)gjaA38>4ND|np2Oy8AstthIz%f;k&4o
zu}8<+y!#<ErLzO_h&vL%-Opb@Jghz5v$s7D;x#RooiD$t>e)_MwyJ+M-=)r$okTVi
za}t>b8>1wW6-<2EN_H_pPfz4Eibi^^Mdj7TPb4Wz_NZ&dWkBQY!1K}kVZXOZjS%3c
zc7i|mDEV<Si>D_w+k98CuG;oHnYNft9X6xkjaY{fv+TuDiq>Rl%kj_V$6qTgaqi^5
z`3u;h@j<F|m`jW^eXz2`k=xf-wUTkYbAm@xKyEOhN-so{_;_us^hMPzhE3kbOAJ_f
zc;r_nF`B7>IR?p9<TTlnS3^{JX&iiC+S+;A%uQT2EugtlyttQO!Dit#uj9P>@ye0z
zU-Pm?gnA^h_qvp@(qXUvuHPNMvBRLWmzLDE8&P_TcW*h?U!uD$eBFwM&-RxSvrZ4+
z(Xq!Bm91J%%kn9TW5MER3IhARCxSE`Z{5jb$(T!E9-Ljab!qCwQ-XBi5ll;~IUIcG
zW{n8z!Ff5nZ4RiFF>Qfs<3@|CK_g>`d<Vk6gB=!MXsol`NkRxM-;!kdK!eBbOjhe9
zJ#Ute!}yHRZ0H77XSg_M6?9?p_ByL+V(aQ~pOsHE%<H-xeOA@!WEnyZ;v5wgEc~?I
z&iNz0@(|*4W9%*SSv9Z6k|wS1sz4&f(rVRP^1W%%<9}jP2qu$~(SWtIUJF|4Bl)o}
z4Rox`70bzOj_I{FucG(OOD9X1v+s4McL`KNX*N|c(EAW@Md~J6#$Ly>`BwHRfrP}K
zekzAqj(5*Zl(EK)3RI%%3LsriKG2uFj<+C&l8`58(*EKakLP6B*ZuG+M#$81IAi*<
zs8@a}a$#K&3o4a9nGs+Ax{6{$G0e@y{Uq{hT{(WE28w@9C=6zvGh|*j*-xH$tz!n9
zI${=72^=EPQst9BEfU>n1dYjc4|X7#E)jMqWbd)bu1s-?lT}k51&iaodMgqiM4ldz
zN5e<kk{Pni)wSt0ADx&mAvBRqFxIQ2@m$NQ+TOko8APFZ{O&VjyS5oVc*Jg~bIgg~
ztB-eCdL1^gxQqs0W+%Hm+zAm5IvD^xN_0xe_unC*YVX5e#>T5vPxYqO>JyQuo4#*h
zH*@N)6ben42l-S4cXp^0N|FfDVi1Me*67vE=VXXofzMZ{iPw*V>x~CC|IKc$qCw8_
z9vM>B#N=tu)xmABOl$y0R>K3jF@J6m3K%FkZtAgZm4H=y@ose2*^zBr#v*;{$Yx#u
zK8xN91er4M?cvGGo~$T7JRvLg<*`lPuw$~@gro&x4#s-zl-FpvFy|asfWagMOG)gW
z$d7Fb0Yd4aPaS1?-Kn*{QJ~Fb%I{EjADOMnO7X!9CKJOXrxT_E<RU4x5GUIY6bE8F
z?|ts=q*k?sqPo<~p1S<p^+mgfl;2V#%4pCrp-0GC_ePn+->*T0l7GJQu41zml`joH
zZ3>k$x;OR}s|InL06KdH$edh44imn_*^emY1cOElRy=+=WZR)6Ax1xp-@Z3PI)rWx
zT84v8YYU=XKvgH-7tWYPhWTC@)=cYUxfB6}v#GDzc#cZ&uzK-`%v-K%1*OMjq$UqF
zIaKu7@emdU|Cl*523-C<0IiNYok=mLyEWSb)VcOJThN)_e!h?Bp9sAk^6%UP&LqHW
zBM86`k)o{KX=Dv0KP0;5j6uW#D)Nl!t=Z69`_}kC84&s20*LV^httNV=LB{4jLi6=
z@0XXZd#!Pbv-(b7fcZu{9PxoFq&u)tii%ITovbH#Q{pC6MAjLIMj1F~cmVBVK-mFS
zI7Ub%i02XMx)!Fn?RSg!F@QjWM&W(&KFRDvn^x!&5-;#j-w^et-+oz0$98Sbg=%77
zpM~ioZet8s(N~~4$6;gHIN@}@Xi^YpSBcH%R^oYR`+N^iY6kM6jFL6RJ!!X7KxW%C
z|8V3hw?%U(S%SPKEn4B+Lyalzug-%)7*lG8mu1WgsT!=5^)-xMS8Z3i$W0WR#A#Ag
zKZ25RSt$RyeT8k#pz;wx3arBSv2~{Ip4gMuj4R-6FQCpi)CrZ0m2qtvDNp8V!ukW^
z3+@nP<!b@8d^EZP)fj`E4=!0JB!2=$^ZR~e_Nh4_s5TRCszOH8?}&R<+tB`VKXaR%
zoO1%YG8=t^)nwj?-q<<I(a#H6k0>5*7d8_Lj(k(Z;n1fmQ0(S!Ft~<}sSIoU9-nnQ
zvnTSEx~{0uK-8cV*)sxWH(*`ScFUlE+<yvg*|<vO_X(GT7y!#{q3Oz5a*&m9ra0bd
zu7%pT*&akDJb`dkeopugvJwOn^Noj~6A)f3+bu2SNRDp;Tj7Y??Q7(B7VVl6v-!pO
z6b4I|Xclox$-~jXmx^j?kOM}C9I*VK>JliAXxR*AxE_(d(MK2&JVMK0*6Z<P&i6;{
zFv-?Y2UWHEH{RBRGzf2*s+RTHFE$Rt2C<HIP*9ZJ1cf0-^EN~a?4*^C!Vr4ypef#8
z*^b0-U}~VzDU=MPotH+sTkV@&C2dn|S35<iS9H2pP)u*&EeOF#U?*ObeJUh*p=A;|
zUE<Z&(ntvvM{o!44Xep0s`vMrVMhEZJ>-e6U%u83)+O9}v|oGd5*(~K@VRF7QGU><
zEY~pY*)`~39hhH!)dR9KUi>MHVRM~Hmw6%1-g-(W!yrFQ<P0p+oCj|X?N^`NWtoKb
zIc4JoMfFPG?ict`MO)pL(WAwMlCg|oJ0?714$r=A{zIAC!&s_2wK>&yYt5525}=-K
zL{bk5V|KcZ54y}OLBJ$2+}rf~_Nb*%_CmWL6d&=-#g0bhBhcPtC&Lh&O;AzUT~e)$
z_c@-XI6^Lr|ES!c<Z+m0`<_9o0g9JQ2Aron|8P5)rI<ITt5<$~i@v_gi_(KJ$$rk<
ze?m_4s4p(B<QB^Nc-Riq<Wrht^y<(PYbF;tERwHHjobAI8(W$!%v21Y0F}W=l7!-u
zm(5Fhpv#0E^s~4L@@$*)UGC7^K4C=6Q$Lg!atCi(v&W7g>GWarHYqf~XeM(Qt3CQs
zi-(pJ7q=sLJb(Nk{)Gv3=H?rffbVaotG@)R8;y<364sQj)f<uP;eHK_?!a+cqKZ+A
zd%Kcxm192dW6a%F{^h~@FiVtR)i~@{RgraUG(wm|P!d9Y!+v|WCGZII*;#$Z=lgw6
z9wD|B%nQh_Z+h5WRHj=F8(H0YhH$U7zZeDxY6Y73KoJw~Sv1E^eYb46q)I>*<P&+U
zH$Hu+z<Xvq@4lDq{?IH}m3RMZ?J+2+d`xQvk@7HOOU2acFeS}iv#OHMhL_C<CFIC&
zIBiHomc<ox1gnc~SH7t(H<N|UOaYb~a--=i9x)XvJ4ze{i}~=|jO#>ptir}`eI3wM
zOcewm_3s;A*Tz~)T212ty#lOUD_XQOm<C}kc`YY$@8;(fj3Z!KOn1O_TtKB!D%HF8
zTPABJ&@vu#T|vrLj?Ef6%a<1KFk+J3L|3JL4KGu$!nLG>Yn1e{-DdHVG-4wrtSlrJ
z^DjnwjRvd}-_~R~HyUP|DKrm;d}q0C+GM9+c&|)vUNuTsHNN?Y|Ilo531I_}U?pEy
zUPhwpCP&Hf9PLYdg*b_b=THe*bx3LSWWNHVTD@N8z*bCH5Ke~mg|v^VyxovT%6}_<
zc+~8E&`bd|sFnw_jB-ddi&+T>-Pma;or1)<rMlxzmTj1UZ+BPOi>}&(gXr(ogd|7(
zw(|Us+MJGeRF5Y?%i>J}XQ?1cd58q|WL&QedOxrz%dv}>iBFFTV-Dm{ra(e;4aChP
z-@JV|Uhj>LZ`E!?<*aCWk=|+#dJ?<^6(JzCq8n<j=VT`%@_C%w{+%e%CpBDI&6Lwm
zYCuMY(WgzblZD07?~yYQRFk#$mc6&=Z<7jItKo>vf*(>3eh4{f=Qj0^(-?Bj1y<AV
zh`T^Lljm7k4w746!h{_ZFqu{F%{-t<OI^oH*Fe<U71I)1TIIOO@Ri5vLbZ)WdQ?xZ
z!K>SXwR^3jRPqG{XOABya$H>8jxTX-%*Fbkqh4ru*M9O+GaG|SDATH@^1xH@lH%aK
zBaI|SPkoIA1r)Ixeg=*n>cedt<5p`MyB(Hpk)jSxf&Sve2>57W;^w;l0dv{dQ`uZ>
zP?H~fw<wKB@Tz~W0#48}aLQe&pQRrXrVt<pV=<o(3zpQE2&o_5pC{7U)RWh;oXOat
zzg8(p_$n?U;+m2q_|afOP;}v0s($K?NH8G}EZ7WLVuqO~qTez6%1HVK&isasHogf*
zySAm55$_;P9)?8kybGB|S8yb-d8Rx-iz$S#^=X&DzS#tIw(ZviQ1LnLm^_fZ8K|(t
z)D+rBq-BLnzSwROF-4pWjTCST$J1_S^NSoNmwcDb+cKcYGo{$;vt<?Z+vC62<#0C9
zDQNC{vmTdj246PvCduMaiJ>-l<@!)<b;JH4=j{`}34#i2I*;=m`r!(-DZA}P8pN%H
z>Zrng?!@Xc2b)n>UzQLO1^Ln7rg+~K1d1cHM5A2V1GNS{0g)-6CYmewyPWt&(0K#g
zAZgtzDXtqVRm(Q8a}*84Hh^Q|0$kuiwjF5Olq~R=Z`4#9x|Jd7*P19jjuGcZs&?~&
zv`A`C%<>AwVo8N+K%st<oSG$d(Xod)_EhcXd?sC&_V|>d!LDkzqjz^lJ|bKKAye2l
z23%di6a3-*<)U^+Mu@X*0;x7OOfj3(SFFUA^r;<Gd?nkoUbW6sjB-LyUFo}c+yvJ=
zai;dgrEK-^Y>2*ITLkT|2g*_HcJg@Twu-e;v|N`jEA%85HZadoc|;6|-M0-g2Zc1g
zTps&E3Cm;X$0mgLJtN31=0l%{(d+f3@0Hb=ZLvq+w<dY-H`Ca=kCV?1l29ytkDE`a
zm@OR5PjWHOPbdZstAY$Xw1!-j*Qr~aN`WeJySEO8Mh@*8c!nlirSG-^$>|Gr5zKxV
zM)u@1Gayj(jIn@}xB7zo>mb$|V&q_%?Jv5=&Z;V(M)b}jBvn4#cREm-3wH!9*Ba;p
zCy6bmeLok0ww8w|tcYUsdS7oUcjeXG;jZ27fIf1~5i)|uyIogpC!FTV?1%2<@r7=j
zS^rS6dewQ~scyfBpzZa+B;&3nG~^m_97pfEdCYm`Oj+X`&kE~ZXU&lkTv$S95KG8P
ziSw_R43<zQU0sa|sAOU7uYG>X1MNI+*>aDX6_-~#ZQT_J<iu9PLlx&1pyqQP{HVHH
zV&iNz&?;L{vt61$y%BN%YF&r4Rw&KPItHKC!B=IAZZTp<(7k9pc=ZGLUpU=j`mS!2
zv;_`3O)E}=k^jWD1!}e9;{7Aj*wVtYoUfv@k;`6Mk3xvd7YLg{dX}jE&&|LN#mv?x
zAyzhHZLjF-o%D*9HiXLta=hlQV%Yb36W3*^RZuJo8wt^LXsunLE!m#pOVHgjx$&Th
zUadiYwm*a&Aqa<%Lg<B-F84mIeYmBk)dwV0q*>CY5K>7j_b-~0X-JC04I(%TzG|Nr
zCHu1FaFXH(v7M;xtASH?U5)+m(sNOZuye3j&qzWrZDnSzerkNUQd7_LLlK7+&lh75
z2(xfj!;RlYl)xYaPqLGpmmoDLgDRyvaE8KdXByWsIDH4Qy^{Whp6rUNYpzgZ^l3sh
zkML-xSx`<In<A8*^qm;-CNP*T6sGL;XQ$!XPl%-07FKZDB()<Bb?BsL#$64<@EcL2
zF(iHLWx>Wv{W*%(9s;62WgJpj_WI07j>l5$^8j_R69Bh#zAJ+8G-`x;e}!m7*~9R0
z1!FM}>9dvmO6T}p?Ht|nYyLhBJ>rX<;}C@*9?1|RqAu>hht>6YyBM3UU5~f{wkE&o
zOkzNg;U9TL?RA+P=i^zVVzH+^zm)hf|4>PAQ9E&93TW7zht%_c1^*+EOvOjbP__36
zzBkHXKQwbGb^DKsVKt-uhtJl(39nX<uIgNG-<h{iREMx40em#au9Sh(kPXlmVUItJ
zmlL5P)(K<Y7rz|89YMC&#r%Tm@=xmU>D`1-OsP|l>u>1^h~nVz#wye<9$i0jYB3T!
zL(A3;Vc8kkAqc{MZb2$Q=uViY`aCoGJT3B^_rB`ZjXU`FYVn9~gWcC>nCt%i8a1f?
zuGk$Ua(bvn<aIZ8fC0xlUh8G)#Sa7QB@YW^r+ozgpdSy?A0_0dZjIu%eA9fg&+pb5
zKe}hn_sg;-#r?EZ;nJ0zZ)Z=p6krDlPklR-%N`xV3TgoMDfVThLqn!-3Tp)b>gg$f
z+5SOLmIN%Kzb+1VQj5?633r!2*>llQ>`R1|@6T2KJ5Tb*MoX(8iQ-KW8{`?0?v?I|
zUWUDeVfTqUC3lj~?U>ZI8gB4~|2S0V=fh*3^#shRu@0e<<4v)HA?ao<BpRVu%fyR4
z`L&{0B}dohJ~YEbI(a^01UlhcReie75O^1`;;fpQlGPSTEN+lwTp#aYx}UImVFKt-
z6A@VOMKU?P73?zk%~OMiK?A8kF_UGnXw7Tsp1Z7N*-OWDxRuMrKC`h|Md~yu`#1xH
zv~0KGQT-MhOx~Qvym-XusMKgA$cdMpDT>nvv@DPE$ShVlx4n$xaWlEKHOiel@U*Ul
z5<DG}&4oXI-mcDyPT`^6MN71PU|yE39Efj<RBb=-e(rLWL}yZI?`d3u-d4udHW)sD
zdQcocb>z^1)AHlz?}L#<xJxX`pD3T>2v&GUtMKj`!#B2o@P?N0mN7tO&9BI!_gv<6
zHEicFA*&5&^oCS{5VF?%u*34{>OdgCoUMA_m|M9xtr(^U2xm7k>)LruQIe%&3%g%^
z*}DTy={hV|8n-~Q)YBW|5zC<}EzJDU)banAexrnrKNK9s9n8#MZ9LvWs}wIb%Rc3}
zgeYk8gt6RC_}hSJyBAT>9ABGReOx3o1;DgB0#(8x<L)K8pC)!X=-}C&wMy_DN&NXb
zKTO4r9zHPY3_{Qze-04hPoV^u?orJCxzkIW8hI)Qd~m~72jaSa`~ZSW1Zl@GmFvpy
zw+Hh<9*f&dyZhS@XuA!;9J$Vv@}7Dnr#D+bYyq8#M6dpy`M-Ya$ptZ58Oe)||M9#=
zP$%p#_trT2_g5@IxVs%f=5oJ3FJB~lz%eiW^7O7hU$Fyb-~8M|+yC*raqvMBFRRA?
z7-4gOW-T}r5Ha>YuIAZE3y5R8QxC)MulV1T{C_?rp3_o#{Yw~ayT@!rf_bvDei5JJ
z|Mt&m*=SKEUTIa>93AX}WU02xO6e|X@!lnVXU^k!{Dc`>$3rG^yeNAH&uMWF!F?@8
z72W)|8|ROkj}D6E(>Q!Svt4&_e9T><@^jULY|g>0hPfTtHlu@@&yl9XKvRlkowrRe
zf1~a)gmv2sk-5S}3%H!Jo6E>C`cY<dR2oAXlcspIv;N#K$F{Q!ShME+nAkcrDi7yR
z{ObPF4<5YbkTL&2DeW+&;FmK@CZ!bl(+Z#_3+RYEi`eQY?!rjY>bQ08>*dOpzB$85
zfyz~Xe~lTAGSh1v*h(m}=ow+$W4TcQqyjWOB?I9`S?098)?`id=~Uc6(EWS=;{$eP
z`I#%?k+f`%s7luipVYK{n~LjANbY@i8xy10g+r|E=fQZAC~BrGP03-trRRwI=XKf`
zRf`+;OawO=%g9XM`2Mn=fYbqhohaJmYr5{MsJ=PQq*;a__i5_))3RSsz!$a>Y$cig
zxznY_!1hp@X#WTEZ~yNG|Nr0jrT&-3=L&}wJ`xhaoV1wmo&V<IzqNO=WBf0zz5mwR
zf9vhP_4Z3Fk^0|y_`k0Q&uJmOMo{mKW&LU;gV5$hC<HVT>6)3(L(&ga=t?0eFwp3`
zc9n1fGP)RqOvECW&sBaY{iE{CXzV{jjc!d8Xh+ZjI`Y*(jE{zT5J<KHqS*08=X<4M
zy2RF-q~s{~?O~%>kmGM8)clrVr5^|BP?8(EPM@QjBn_||6`r-lFf(%OM`o2m5>g*P
zuE;C$S!BL-%=ws*B&;nRTn*}eFQV{mB}7z^WZO?Pe`yJMm4F4~CuVfw_neVIYIFgL
z2qM2r+g*+J7K8!#fxkb7t<a3~s^;8_bx%`5%9h3Mm$VACj?WQkrkb2dw-H_~;_c6k
zLV`VN+CQDv6A(p66*XDyvCp><_6(Z!gUv3u_IL(@%tlM0bN|yMLN@@^-kwVDfs~+H
zi7{^I3>Np86=b@Fcq8RMK&p+x{i>Ws!*oLcK0>Sj81`#u!@emblUMI=fF1*_-+*x<
zs;Vm12AbbI5La*$5p@yys8?!c0LY9A1bSPiJ)rU*=o7j}0JRVJ{s>aB=tSH)TK99g
zM~rFuml<wURuKc=e|!rh&Xy~`ypE)oO>@LhU^W&LEb)rT^65#J6cre2ySWr7Ve0FV
zCe+}^K~}zQV&!pjcidWIOAF_(EcUMfCo%0w8hsI+YGjBa4cF5zUSu!rQN)9mif@>+
z+)au%?U&WO35&L2X2K+mwZ+CESEZoqUkNFM;OrhAYJC1+a+(y>!M!i}DTnqSDU&9E
zL;dFxLfZ*>?4?1qn%q9P{v_ukw@m^y@4q#{dPS_=HwE93G}P$jvj$GE64Bih#W7}~
z(p21PXy`$7Hq>Xx*S_O*Ra(yzD(2L7l1s%BUT9m!H%Cbiyve8PjV!``eSvVHSX3S7
zMY`k=3c;E})EUCsRS<y-r65=jc)tmv321*Xg-#kJJDnRwFjEz+q5Bx5dyNFIXyy5j
zLbgXx<9((R@Kl~h;=cd17KOnah|e?DGHeob?ivzJ;RDD8r`=Q{&9+c6OG=#tX1@=+
z@tsd}G2Li07w!dbNM>&Sse>FoT$$q-NE6=>1EvLXa7Md?sT$q>OKRnincY<K_yRf!
z=dfANYIGadhpQ48PZ@_dIZ+^&tyO2|cqRTw2miy+G;r$<{j<cgOBqTAH1e<{ZcT4v
zrZ8Jbv_jjDCMk8ih=5rlrzYlJj4}pi%qz659Gv!Fwlz7Wiu+|L9(8G#_6J@tz(aFH
zwNeYhC&<5!l02=)fG$$L&Rq6}Eg8jAxRhA&?8Q=zzB-W%*2Z^8SzdM+m+ndQ$s2k)
z(Pkt`)QPw8liukY7<roW7tQM*4>ux;^wE0|w~NZ6{k4YJEuSDB(u#{1ih&$4jHW$k
zCIYk1sO`u~%U1&Mi^RPO(+H@N$hN3((=nz4?@gl`P8o|2oQYi>8win)V?P^qjc8(|
zNh2h6L@wRO$!Y=w?}xgABh$($eJy!)q)T30PYnZ1H*m1&m*5aUstMd7Juj>aGE(*a
ze^_W#^azsfYvaafHOcwaMpzlsGHPn#ngv_Ny?3+*x#&0TW<7ews+Sf6!dXU{`k3_Q
zxbE7a>ABWUTd&+Z;9#aqMn7A-JC{HLbtz=A)tpZr-UunGYU1oP=lcFcuzq55u0tQE
z7;-ilJ-JPRXQI-P$SDiB{wjPtU5np*knXkLd2e10#VCI7XdlEXOb<jfwHQ8B#7i;C
z9JCrLx<$ApgY3<iVnD)4YZG-FFK#lezQFr&c3M7~erMn-{G4k2FL_a4NX~|k@Q1mF
z)^zXYF&b7~{bW$)hvXoWo^uFxzMF;V<o!PG``HV#XHi+N54m9uI+qNTq<eOf+CqB+
zHe1(1h3R!^lrOW9tFtl+ZUpB>=zrV8AIc!{`k{$krNZsWTy|&_kmtb(u%}OX{A!Jk
z+F<j%Lb;N4iVc;dbz0F!4!n4Vg-e{ovOY%9+Wx~`0i2iV`$YOPi5Ps(8G12(B58dg
z?sX?Pq<jspxb8Zay@X!&jk3kD=Qr2QXlh<`(sw!DFAPa4dxwciG~N9ScfD(!FxBKn
zoU~KBkhe0ANEHeF`(~H+@G6v#PbAc&wzO1aX@Z09y-5Yb-w%KO;kj%!W{C8?f;?$*
zo<|?JQC)VJSTX%E6wXf_96dXQ(f;xR_?{p&<5KAjIbMChw&b&55JkQe`aXmWccq!;
z+ij`qHWwl<rk;O!&&m7UgV?J!EzO7igShJfHciO;(ENg&;1<2yAThH^2}S9jLgJ(a
zg)YjfSk!2WEiYvIS#@Oj(jGIJ6&lBdis<yR=MvDEc%LmaXka(*rKJ0SbC-1P(N;jN
zm{L&&*Etl<_(q0Gp?mgcbI*npgsYyJjy*?@^33|Vo8}bOW;}ZX=8h1-o3{>AAJ1L6
zJRkMw`s<@lo2Ad4bKInBbKO<fd`KGkUuI6XHF_f_1x+_ziI(2vwYpR-_`dk{Ph0@;
z;%raQ8^{%n8<WFu17w&>RM6t`{I$f;#FaBdH$ExjIeM(uaH%Zk3P)Z1+@la3+RBxX
zwTLEjX}nRbF-PvCh~)aKp{8~V6T6S9s+?)A%D$L{CLNBNwUi6F&E#_&WKkLUI}LKZ
zt~S@yFlX;a7F?G*4y^giwe-D!Bj^_p195N~-|*Cto?IZ4*I~(HUb*^FHLjC=`eOU&
zZM%<@X*oD^JxpW<vk^kM({Jf+CN#hir|QIap^VNGh_|}hJ^q2RBpXlkgsN*oxM&P7
z6Rcjsn02ReAgB&mZa=B5{Tt+9OGQOnF?_`&Vh2hyU3JUID}@3fsu`=f4mc4Xqs3n1
zT$20+*+Kv~dTZzf9x=sFhFo8k_4IpLE)^^k;`NX!aX<KK+Uc;$c&Qxp6N6P~{;{<{
z*#LAvzeZNO5}$vea#%wgGk;`?A)hH8om{-K{lms71@_eNVGKlNQWZ<GJUYbG$|aB_
zEf$ei8H|koF#P(<SN{6blUCu@Sa=DuO)mKq(})_!jbC-Gen3tOoG1i>EM*aq_OJ2k
z;-UlCi|sIsuAeAO{ens%lDkyly`?z?A??>uo+XrbiDA=hR8@Ak{>wLoX}UFDX1xg!
zyQo9wk#PPqTP4$_#-g><kk-(DT=HbB2~aY{m@`e)ne1436&*v6LVFcMzd?a+YvP~r
zytJ)^vj6nM5HEHvQmCc(PR?RZNMd-&J^4>>={*K@Tvl3Uij`Ox!&622rz4+w@pA3|
zj<X|!J_f2uV4qZm7#*&OKwq)UrD2)zyW~?!Ncjx=ON}&7dxSGK-}FkxT>C};>&G||
zQ=&YV77gze_a9tlBryFHo05+{1x{czjz&hh*Fn2ZvEaW91v0h5-u;Nz-+D#rV#30!
zFY0_oCKq(O`FgtiPhsjdpPn%lJSWYoB)e|EV0tI+A!HuJDSeCr`;2)l+r%zn->Z^X
zc&+BSoY~5N3{KL}qXG3R6j7NpvT<fCeFk!dPuKqE+m-|gDX*v-O2l`S_hu(h6V(ST
zHzwcx;!(i`hnaW~;b(n3$C%wuxab-rfWW4ZY?8(~RaJ)6Uic6(`-5x#YtR#dDiXIL
zo!}}#-ES(TVM85JhBm>b7yZXGQ_$&{;b^Na+6(NZomF&w{jdftl7&Os<u}uXsT+}^
z6#Fx!gv6xeAzh@T)L?%>T&M<><JID(Gr_D5GYtU{4p0h{3C!L~Uq_03Z%!u|Ps35!
z^>0>SPNi_G^TKn^1nMX;smUh!s5PiF5@}a52tlGR1!lbflv{!8j}eeS*E`k{W<jlO
zPuh6N)Zo#-Op^{S+Q+yNjwPGRyb)6znU;HQ(pH6g+~c+Vk7be4wYh;3iSU|5GKGgN
zcs!N&vIgjc<H|!;bCTuTvJeE!-%PKP?gAg@BLk_<mJAEponX+9L7}_M{;UCd<cbba
z+qBiFm<(>XL9L>^z%K1LWa)h)pWs$&W$e;&u;zv<tI&4zwdZgq?EZ`Kzd|ojiAB@S
z_1g=Pw^2g!+oN-b>PIz)@kec;xhT(!x&)68Ktn^+ePJTJ=B3!$LuAsFOiY#zhSBT4
zA-IUml-1L!R3(G8Y<eGyBp8q0s85z#+x>8hv6>sVE(%SMEkFq=b}815^CF5GiB|p6
ztA88|U>PM5LboQ3@n0pd^L(^K(>u?(=a#Nwi`>rfwn?6Us~-yXg3n1zra8`1lMxxT
zJZ~!x5gQVdD_Q-Q<%NT)q@6VsjLHx@Ak`eb6szf4yX@RpsXMUAwNeO*D9kMCMGvOm
z`DFBz5FnE>l%+kY$Q;b#M{qrVSj_3>vcT&p;Ys4mkzwiTixldL{hj%{tHtsQm+D)h
z&~kdtoAzzJu^v-P(43THdYtj{d(z)85H6I0?p>4VOuN&LfgC*O;DyB{v}eyKQ$<u~
zLM@3}y9NPK^*6kp9<3f-I|chllk*R>|7BGrUod815Y^lGpv>|lu>v}Mal0Mt6zVr`
sXQ;P+6G8f3ApZN|1{T5>UU!UB@i^8=B}+RQ3I0io%Za@f(R=cL09Jqfn*aa+

literal 55756
zcmeGEbyQW`_Xdm~Qd&Bs1rA7eON%0@NOwwigLDcAa!@!lqN38$-5_!(k&<puq^09s
z$NSNHuixMJ{r!%2T<_3x?jC#Zb@p6y&GpP@K6A%tsNKfLxrPIQK=76BDBOoYFu+&T
zK`d18Awz!`1$>~m-@h#fDek9P2mcdprK@DEstRET-?1PVD8vvn<SF1k2+Fme7b7pZ
zi$eYT`+XF)|D6Nw8D$GW|9L(Hq7Ocie@ww&<TZbNqUE6cea9TsUuR=La?pN#M;!!b
zLxL1!1HcEi%N;#;2!x;m`4{CG2LUzs-4G=O*#|x-8`D?DX>T<i?d;#h!Db}9ON^DG
zhKe4CgT9UxP4VOL^;S8e#_OiX96FDGwB5RQuQl{K%B>shjo9c|H)Z6WLQs+*xy&!+
z{EmZQA!avMxlXeVlc(LAR_Dd~k$(b&n^w>I5&d3<<<_cKOmNt8f>HnR&*yrXlzm#m
zGV{)b&e#+#gDSV_*bi`>ZqE`+7R$tJ1Ygm=PG`%JNk@My-|NY@CLwE+;#smeU4Qs>
zq`-cx_=dgHP2FXh*wIF;VELNKx0<YWthBT3J#uOvNeom_Fi16I{{AOK8zYISkdbyq
zr^Hw_lmf*i+p|R5;*&P&Tm&vff3|e?wYSkVB27_#7T;ZANx45<bqX@e{`e)qs7fK0
zHdLSZSe=rv_*{HgvA)kX2hBD;g8d+UnT{U}UpecdcIGr`YH(lef1t2Wjb=*xnK*1l
zgDE|ima%zG(24!uwqP5ChEQ5WqIX9s_^@u`=Q^tt>Q}xqsCJ@us$tyAOP9PijIy1?
zq8uG47Q7}x1&N{*4X^3p6@5T!F$W#6eEm<mBF*eb%!Vakv8K%O(l=sFM4=76rD6OQ
z-c<R+fdvvFB1rT3!6f*;B8c9n(2QQUa|>!a^Omh4>Kbf4)TlFG@b=&4`uQ#7IR=&!
z3?nI>k@m&xHeLH1AzHbZ&0x+<qd%)XgOMmVVw`7)=iX*r?yUEW+#q#is92<nh(g0o
zre>sv?Dzlsv}z%QZo6tXcQVn-*tgIdnX&xZx1B|GupDr^LM|QAQ%?g;e3!}YMwQKm
z63tcK+p6dJ7;Y(gbKNqug6H4UiGuOvhD?9~p>tAuteyPz28uXH)WgI3)-Y9JrJ1W|
z&P*-yO|zkEB6w$!vUA>xvz7BsKApUx6)}jxWbeb%=6^WkPybB5o`@$PpXMWgncD+N
z{bFJEiIEduS>h@cKXcY;BP5lTu586UI<Woo!%$=5hCQ6s=!bW;RmCwI%VZ=&u>bsR
zcS*2Xt)m5%x-|q}`d;PPr9yv_&j1tLLaz<4+nKnth2F9;=L=?laY40-LZMkTvL-p^
zAx^%MQ=0ZaToyS8IjX3Pqg>HG7Whk1Y$7Yn?f2#M4|dfasJxlXSI^cMkU-gfaVvIw
zsM3Cn5{-3nCiRI{w_-<z<%{LUo}|}g|6Bp!b~ai$3<$g-9(co@z3VUW)6q*Ex+r}*
zACsXsm=PW|LPQm7cPQPG;DXUcs=@`eXHeYqw|}ewuo|OnaX&_hCZ8qFWkQ6LV_IE4
z#G!0|nMUtu7`;`$)j-6d$$k7n*A3<&>CI0op!&!9XVc&gv7FPR$sk`M`~+p1BHa6w
zRLRs5OTk0%N<Jo(Y2qbbJ<b=}T?=bhQ95t<A5Wl>V;MpiNRFPHE6nd3!D!;vX6>V{
zSQFlOe)7YB8p2~x6*s*R8<Er<?(sf%sg&wUT6=LKoYPwWPuJeX3D-!*5){LsM!Qcu
ze=D5&#RB11;)73dm5X(fG&dBRbJ^g0_Xf3h+imZVZn$awdHrK>eTAula2B89dq$!e
zY#(g@8+&RH753V64^b)WNYn-q?=+1W?>}9GolB-LjV4VsvN%KBDH2_53!{bab^K`?
zN?E5Wd9?rkwU$)~WlIuPtBVaJosZ~KS<4syV3?~rY?+eh$w+6NoYL%{ll&$|hF^nA
z_X<Z9Ye#AB(w7^94pD{MS)8{S`Q?W~8_QDvkGtAkCqx~gtRwFzGJ_o^`tU#qCM$fV
zi-U0e<keKg7nS}T!A6!rv5@f{eyhtJ_Xp$D!ef{%^JLzvBJEGN$ajMNJp0272%{qm
zmIBM&`~pdpo9}$G{kYK#X5=~?{%8E6B4zMk36972XRR@!_!JqOVx+1P^5k^kDfC~l
z9L&XsSQ-9z@lSc<gPd_ZIElPgUs+WBpE-Id6K7|UL4D9f0qG|0X;<O+Bl;$4hJ=b9
z0=LgUFPr!?BD^Hxg{b9OQvG`ZL#A*kA*&a}U;gw5K~&5Z+hoqXe=nCre-yO2DHAz~
zKSx$<fr!Q@S^e=?Zak)tj8kQsD}NmSghdI-zxO`w-}aK(#J~%755oTb?=f>^u7N=X
z?>@ix?^yDoF&M>VlP8z<k0o`72@I;(!~cf?YAJXj{pTzdXn!2HMaK&sX46yrw*eRq
z!SmNPhkN~dObv#3Fz7Xw-amrCk}-Jx!<0dSKaT%r^#6?hpQry9Uj7R&|HbrwZFc`{
zr2lQC|Dl)vAmjhrA)|+q<_CbJHPTvkmwPFAj1i~rv<gNG^)&Ta=ti(mX(hZirfS`*
zou>VMeC_mS@|ckNO$m(vz+K!_`_KU^WTZf6AX_?U{nIP_Ap?mCCzL>Xz1q!A9_UTK
z{WU;2<*W4%+KLpA{YKB1+;bF#L5D8NA#PZN=S{~e>59$Er4Ak9M=9;i^cQ48=BwY!
ze+5(xC6FK7{i^Sshr@eNZ{GP>@q6PrcNpX{@JQ!D<l{oQ-_V|c5u^q!yl-X1&}$aQ
z%4XeUg#BpGI2LB_=W&b&{mP7T3IX=FTCU*75cim)Q==kfiw(Yf{;|!5<yYz;L&^(z
zLJB2iO9;;MT6V2?PC$EBz0{2Q`wk7@4$D6(gfYaoJDAA+|K4EWlq(^x(qnC|ndS0t
z11yvALbyxvD{uTe(XxC1@{Bx+F6%#zC+oC8Y8tXeU;lfXO}qyz6K71B{_5YyHH^XW
zT|fQwUncx(6d6U3fC>1SIXwU4xGy-~`_0x7=Yjg%+x)D$t)|nJzVwupWaq{oqa86M
zfP<VioWDZnV|uVL(f8evJE$v;s>1AKf4z^4jj>tvoIN-2>fh;`jcy1x{-nD^v5Yka
zIgjz#T-a4|LFeU<&-^!QA12V<G{1PJV|-i^bpGwLraG;FwF<(4zszI(6HHyocfKuR
zK<ad3Rr>OHfxn|`H9JV^_+h5!sMn;Uj$ux1hJA5uq{Y>n`-5ifkwQAqm6S%4GHa4w
z69>%jJ0*L^F7wiFK7xWgd-q_{S^9LN+~NW__Z{zVqg*S3DGUx$^Wh}@HxH-MotxlC
zRSc%a6*fahJBwlmIbj5Lj3<v4<3+R!b@_a@=eUjZkLzXIjRTLZ*rzOEs!0*OGbJl0
z_D%n=qbg3t?yagG3&aDN5O%D>>KVV&@6{%vLypzc2Vi_>KxX#rMM6ZW%%F$-lfD!0
zt@s{B(RxvW6=vi;?YaIc<q3@#{|fA=&pA*a=;BOOWO{#*{_+UWsSDh4-}*Bpy8B>i
z;xXbuJFzB&Xx#`XiAwcFmq=49ciT}2+7<F-+lS3KcJBXR6+-rbo30mezLn9!IQjAI
za9uqpP17xfM<8CQ!$-7&X=-qC3Tqo!{Wy&NET^V(YRw<P*G;-AVC}zA)(zcjzW7lB
zTw#;%VPBdM-*lFO#OX+urhnn@r<Mr=?1IRVG^9Qo4MiJ%{m2r_8(2+ExO$n$6jNVh
z+%(Mc*wU{*L(G9#^6>kl2s~Q_kl`G)dIui1=j{Fhg&M!tZjLKR)TvkXCx;twrhHd3
z1v9BVaK#6AZ?+gXlyzcI7;3oOnUcIXT7(}29L+}sEs$hK!?o0sM@!g6J`Ml9UOvM>
z27l8?_4IxeYT=}$`wBuf3^ShYW?hcILg|vA_f;28N$*WV?d-?t%#;`S-A+{#)}89S
z<|;ld!6-eu&+b$=n>@35=J`9$;e4(JcYI`G;-BIlf=vP)jLP)-@>VlH$lp$+K&xz&
zwBDymqc^i*r;ECz@!$)zH^Y0zxAU0(VmnIubYg&fHAN)<{G8p{zfkq>hb2Nj>^%Eq
zHw`W@HJu6>)X)-t)v;;<dJtY&D3`V~PsF6yakfItxr>mGNt>iD@cS{MW5B)l&E&Gq
z|8TPm@%gQ$lJx$de7SYsW4Ppd(bwt9$pt2TBhLSH%1+<_ozNAwL`D=kg#YJzw|6pT
zV!7+0uN-@AjPnU{W3~*xR-Js9{Yc+&=Ze%eN|xJaH@>Vyk7>`bO2ZWp3fQ?@m_mKY
zR;v>=ivufNaJ>IEG@Ay4DZ~)6@ER3PB6>6z=3KW9RrJdaJh5Hq8f>D3sKfbLRAXzm
zMB+xPG(<-yEa94JVy{HAk4GNVe=Dx%moaLnR?n8|g!AQdo<FYqCv%#k1>%=>3}=o^
zJchXUX2aqWi5b^!TArpObG%>^|L>K9oG-NL=6ms0pBwbdH|TQ@PZ_@!oOSEv+F<#(
zyneUGTqV#Nwki-$B>;sFocDnBH3rt9*IdXI;c68fy_08>Z*6}CbHD)Ulk-BHCb}DO
zEagm(w&yDrU!@p7E`m$?^4n^6={NfQut>N$Y6n4Bgjdf7p8EK}u)hYZz#l&LCW4r_
z^{^~$HSG0cpt!isC$`rO&nG@QoUX2gq$Yje(s9S<HTga3G9l*Rxy(u2Nk3%Bq-M}i
zgjyeoaEf~Z54bp}Zf-o?tVc#RAAc8E(ZjVP3;I)CSiLzE_bw=<bfa3SS2UYgIVX`J
zJ@W@+slx<6bg@vkEOb`sTi$K_5nQRAdav&v6Z(51SgG%}^s{S-fzdur=$E5@C)2I-
zSRV*H5LmdMm8NXObo&XO(0gvd7_O>ubKtb*j|!;-tR=xDV!#q{`}_3u4yV0MWUX6Q
zI7%AsCu-*Q@gEe(aaHI8n=y=`hBslT2M>69Un|`?b7)nkY&bdip6<4(g~mQ%g>jbz
z>}-8~d8BV5Wk9S?J)ntH@}96tIc(f|l<}-Ys4(VMXlHi4=eH_gN~56jA3BDvotyPr
zbWzc<)Q4+zI<A4LZXd@>(kf<Q$S2h!XRzZx>D$Gy)10hH#>0>xn1Tx8atyu)i?Ua0
zQ!A$nbrx8Uf=j={?c)yjY(Ys=8qw#A^V6-y!x_QNM0o;6I&0cO|E)&vft!a8#kJ@I
zjDb$YkYf^7HD(p3Tp23wX9Xr!4oO-_*Z#rSvi0)E5RpF-dQA>y%Y}tTP8<>~bX2fo
zeB>cqoYDA!c2&})9bY6->TJ86>Vk#OWv=D?aQ1Q~-Ff9k)6`n8H7uS|++&T-e`9E=
zIJJj;SPM6}ccf(8=dWE#HuyB~)f-k69vftkO2Pnh#A%2znIpp<vYO?;8H&rD!zO~Z
zM>y?+xObbj6ScoE&a+=^HQ=y*_WMNn!znTn8tP4&Ct{s3OYFm){yk<dJWGrllj>_K
zQ~Q))P(HRy#A?&>l6CL;!G6JV+H?Wf69sdE3yeo5ZXJe>PGD3@2qBT%F-s{5&P(E&
zAEO4BN8Qr93fH@Qns=X-FgqVwS$|ey&GhJ^dZ>~ubzU*7b_%u`KFbe@p?7^B5SN4^
zs+@$Y<H*ZIN~%W5KUSBUyvqEX_csN6O%s3>zLNUJes~LV3qb}PMP~r=X3thc^hn<4
zpfM@N%@uzEn_G9`Qov3p#pS@|nYt`W78;^}q1+T^wgkc}x#jyF!*5{a7prQPt{~v;
zpA0*-$d<qwz#yypN0mng7t9aWT#a(b7c77wB5u<-*33ul>`zVkw_&qN?sSltoGno3
z$%(D7l1OaUEFLx;Humx~pB0##+wlht=E&k<l`HPcUZG7!@Tdti!bhN|KfdXd#tvCK
z32=XK@P$1qz;;^4D$z~ypgJWh5X$`<YRTLUd160W2p4mQ;uh{Le6wBc&-7hA<t}+b
zE3vC~i`nOCj?0~wh12F>0$K|7%CD7<dDY6Hc9u_Ycw8^gk_o9J+O~M(#BH?^osIFd
zEgZEIl}~}CH5PSBOg+@wcuKm)ZiIaXj`$Eek!-(c@PA9wNQQjc#9ZRd-@gg@tyH@O
zG9Gm0AD{>cyzv=LAyb4Y6Ka3&Y(MchCFIok4;DO!5xG4r@J}lJBS<1A7|rw&|2K&L
z>;8h_;77<CT1)(%6U)27tL`%%!>Y~=JBmF;Y0^O#Acyd6d-(Ahd5OP}jt{^C-m{Mm
zmwI679D{NfB<hl_WuVUMlp9wM;tLb15&tKG^uO(_VGx3Jp&G#|v!%MR?8~#&RC#km
zD&M4IwGqPicsZr{N0IaQ$}!_^`k;Uh0cShivjKa3x~2edQahBk_DgKhxXUfneJeg4
z&c0B<3%EF5rPyE}e~H=8?=W5(dInIHEl6FEn{^}})&0_fp1y+Oy06HAqNLB}nGz)5
z*R)jF4hJ6hnp|`Toprytm-qOvD#IO&sRrj?PS#YT6136iWkIgBzt`6P>?8w42VO_;
zqHjFexY5tCyiZtUHozUhC|d!?3%=1DaO{RUq#K!f@boraOgf|M7u$Rmv|b96fE|F3
zIqF3-?oFYfVUi}RJ3XP7&JxC>mqNnn8TWyk65g9M2a&orouF55sPX8%51$$8SIf+}
z)J0f4LB(eVlPyCrS^Rslxo`<*1Ltu~Ql%c9fbH#?GBG9+Lz&tfrr8%`!{dA}0JIQ4
zUV>S`LpxBe&<s{Pn^=nqh@{GhQwcO5e6hbgZN5}q17%!#C|$PasNTaY-<6gSG+evr
z^lv5pL;@x*tr$V4le1Dk-l{iVo^L&LPCd)uhcxZ=OTba4^KM^N43_W1(?k~acQ`A;
z_upIfTK8vA2`D)L=wwvyr3yf~wT#3GY4Y(BtF)dZrm;qsDhBDBC&0fvGj7KILY;|d
zAz3&5fla|G^HQmLrtw@Q(#`@(w40Y8l}5w;q+V_T0QfJ!|KOegB)<e(4f!s1Of&dN
z?x)=FZV;F!9%idD(3+cC-=%m!EPS~qeYscKPLR%P)&>$2rR_7|Cmvrvzs)|KT5ZE}
zNh314JL9t$|5>qM)WEq>gG<&&wov&Zj!K{jM7Jo^`SWh+iyaXEvk<o2s$)JvwPTZE
z>6Uz&A!(ovHWoe&_A!|z3|*Gx_r2VURn^eu;+^<y02wCDW4WX*b`n<Wv#X2&O0dap
z0m;@|Q(z+85y>B)HKmVx)Mxy@6-|3hepfa*Aui(xx)XHNPA|2G5STsg_ij1@Id;Ah
z>%i12WeRpiYwLx5e37YAfUe$q1IXTxPlaN=E0B8wZ77P)k1dKfRYgStq%%wS194YL
z=1JZ-gGkw<nNM@EOc?q4=aMYrn{E!eOce&JuM(uF#YN2zb#jI<j*2p!c{`QUEhi$@
z11OAr7&W&xYgg&ISRSXJwBhpb^77k$Vs2WZbw}`Fpxx+P?n5SnU+>QWLuU%vk5)}O
zDOdFHgsEJ$mPwV)Qm92_5-?RGl#r<BJdgf7x~&1ZTc1sAOxJru=C{6cRZq1!e7zbl
zhlc(_A^$f0BSH66I1lZWYy<q@7>AOY1swLX{e0;@4Pk-o0ntUg7qiX*i_{Ibk3o(a
zJj;D7dD40{kWgSUdE6#1UU<S1CQNH?27IXr_|lKQn|Y{}M5cr9O^Yc+{E(?Z&uGP4
z7nsn?p0m^0%RmrOG?R|4`_ApMUT4`ouLUWPE;LzSH(~?)R2x{nHPO9MsFjhX^;Fr$
z#~9YEaZ5e{P(%(nA+G_xz0Sa))42PQ18nBpt-R?`^ns$%w8WTuIMY`bTY^9caccab
zy&|TW%4g<PRz;2?;GUK3zbPignX0*$d-YMYi^vpLgUh_!M;Fe;y4<Xl89n(}sxh!*
zVxbK=xaIK#Wnf39OT3H-XtTYht-+wMICT#ZgX2Y1QT?SYRDKF%pO0}UAv(!pAIUx>
zLcRq}1zn!^VD5zZxudwG<7l$ZG8_A?zp`A$STCyj^3I1LdG=JkY`f^qTq2&+F3W~a
z^9dRLB)F#5vnYbxTsg>B^h#2|w-*7p5z|PP;d3^GkFlAOIA;^!0!EePETT<(Gn!N#
z*!g+M<q6M)HNTMf28+j%*DOF>BH^vg=ii-uqlbbn4};w8`7qk>dsMhy??UZy;hbrm
zXAeK&G3?bdqp(-gl=tY>Ox8xArBB{EqhaUdmcjKUTM}?g7pAa8Zudffk|}0v%Gb_$
zhbk#<-pf^um%qg7mGySKZGG}Vsvo6+)cO8!dO;!&U(bkw1s}PPnGs<V@y<DewYESj
z14LGIcs^Rk*0MMMHE(rs5rEA+F31RPz>P2_zrkYKbaC<xiGzqQSMAfh3mVIj&kBbG
zE%>;q;{+{J8shgd?JYv9-3B$gBzy1%#Lcmi`HQ@=>%EXr8QMlj!aol;2oMXOH8TOA
z)@36U0~hP|@nkQ5FJn|fR_H4d%B^LzQ0XC+aO>z)Y89+^F|Zr-bV5_RdoZ?xuLUKM
zA3^H04m2uCpC_H0Zwk3cD<fXse0l7mq84KP?g1=lo9d?Zu9sw0PX|!YKpfms;DEQ2
z2k`OQg1;TcJN87H4XfIx&(Y?D$<(~U=vQKyl*mbM&|NIEWj${Fn%2`^kbxP}c}MJq
z`qA7>(enW{w%%Yg3#_x}vtPL$=CYG3nDL7}oIj;Mtg19@_D4GOHJmfRK-8RkEwF`1
z+jLQJR~Pv|?a6+hs>G0HI4oMIFk;!;9Z%iu))!tlH9@UieVuuQ3}^55v!MsCS%MDA
zvmJN0Q<XR$ePE2*reusXwg{(D3<fJ0F4SjeA6T;lTRQ|%xxsg@Ml~fp<ZVWD$`y&u
z@^JL|NBjcE880n+1_D+DJlNry83eSP{USi_Wyb+hPJ^I<Vwpzl48N~$&D``eJ>yCg
z%=+nI@L}&n8#s@W<dVgg3R_A34%s>JQynvJQUJE;2s*Zcr(8e~>Y#}Xh~d?Xdra|-
z)q86u^WhGEmeSyzv^G47s7;aMQ|s~0r6sWCCuLtc0m!=Y+}o)?ab6QDO|kLHY>JhJ
zpWc6ik2r4OzOQUqshBl_5_)G(nS;kI6<2k?_j^s@BeK9ZR!i`a(lkk7>pDO8m%O<$
z)5vY0?^OlU52luC9BW@93D+&QLye~^6#HN^F0CMTFH1Xn*Lrn3z}^>tljF2D=gG6r
zH-T~u@p$k9uP0Yk;+9q)ehaa9WUW`g@(UB1HbKdzLk+Z9i&TA@RnMp|KCe3gjT3{}
zdGs!vvLJz6<$(n`{Xk1jK*J%WcoSvBH9-G#-(#emr8>uQzf8@g5Ey1wd_vQsB6h94
z$lmpgxi93W{Nmk>7D5i5l_ES^@#HH@yHWf8v!`@<m6D<<lU7uZmJj>tH|t_O37?36
zW#g~S78WdtATq@v4B)qlyvl!p`Myr;{cQl-X=_sq-IVyVS(#l)gJ73{2VvezSJ@j&
z*MZd^Dbuy<X#1=jE1@stXSm%x!yUNUBC$~_59>|?%iNO_OmH{FSn;w}@LMYYF`)Da
z&afU1DvnJ+lbBrWrr@s3x`mO)a<Sw)4DCHSm{`R%IYPbXfk}2$nH6K!6A9AHt<x`K
zP0tb7wt={!-z$dY(on86;q9=jfZPhJjP3ZWWx)Hr4};m)t-!<jr71}-BG$d4C#Ufi
zln7cItnR!!XJ@O@3F(q7Nw)s30?ch1XzdsnJ6^J73##1Y@s=M#C1&x0V;>>z$%JfR
z6&j@aYPDXuO}Wl>G^I3a-KCE$s>kwlqW3IEFMy%k!iQz=_<Is0HJczobRpU@kiV}a
z15vm_VK$oV<U~|>Bx)jc4QmYhGxj2O8-2jG?3ebw8<K%B31Lf(tv#CIf{r;iJCEbS
zha(rxEY;48gy6P78fM20thA?WibiUq9}KtVq-vAE^#sr`;A8TQ08{l0(Wj!kwG3Bs
z=c=22aCJR6#%zhNm;97irW#ngT7U^JQromUnIh}A8W)z@Ujr<U-6jEteydJ#nML<*
zQN(Ro;?+Ht8w$+<v}P|;)_rX{x^^ogB_6}8x_$WhSS?nta$55uYpdg}9+*QAaZS95
zy`&ONl=sj)T*U^VtLv^~f}LNkokv#jC8<LYwKckB_+=AFMN~)}RybKYPSykos_Dut
zk+BcZRhG^+8anb6^W}G?S=v*bSJRLL$P<ap4~}(wFoo2O_BpQMeAsc1hi+na*@BCR
zvzv}=T74>Df)=(@uV)SRbC5FhKlCFS;*lT5h+-D;T`+>7Y-f))Cb6h;<j5GKr=7b$
zPazmr!}w|t>}xY$04W>xZay`F`jrI>3=gDUr4jFMOJzJcUlD1p?d7fyS0U#&E2c2x
z9WsK=8#)f@(!q6X(7v(nSp>L$pXZ=pnh9`aguKQ>4KNV{5VVFUWyn-93EOJ13<g!j
z8L(c83hNV|<Xj1Bspby67A+Q#e*96VsSTRN2(kW9T`M*||7IJ5yZ?2p)+?osJdoDH
zE-vN;g$$7LB(^*m7>Y}(E9}f7eK+pRadqd`8BWhl2E4Awt4x9W%u%y4J!aT8sHPW&
z<*^A|ff0DU64m<BxDvA<8z5c8ZZG6lJ);R~<&=6ZBcjlJ#{RLSr$P5gi0w?A@?N`Z
zO<(Fj^1{H~6%sP(&nYLz==0k^Wt%d*8>Q@i8(tEO`V25P#Ti9H9D~Lv+SCL?JY;-s
zADE3_i|-kQuh+!6B=rogd5#&~4jmLxY<39T&!e~c@U%xKK!EK+BVT6OIAEGe)W!6D
zV3!5_K?dT6Sf4JR^ueAg%V;7EighOYF5HO%tzV<?95uifXBHRN?n$4G7*T?`a6KS$
zv^POId<`dD+5@A^>B#KqT3L=+C+-CW=^V*py^ogn=U1f;#fZ;Bk3o`>rq_+f@1Cv3
zIpCZO_&AAdC-hfS>m(q=5UORn_lv2Zn*X=}xGOb5OuPDIyj!a4wmhu;a~!d|mlW1Q
z`}4;IEIF@qWdmC?dt7-|A9LL6MywDg3X90s*UBSwWJ2x&Qd>uV{Dh3nD94nM<GCh|
zCto5Z@tJ6!4$7w~`E*HqfhfQz>b&->JS)swVqCr(RU*;z<*2C95QVq7K4^)F9{brI
z3B=@C+m|fHs4bD8%hTE8;;syrK+cx%afykfq+v5MZUX1sNv(pBuDrICUhQ53WC{+X
zkVi5%Qc-E8Ty<$nbCg&!Tu}F1k7{n{dNGpYHY0YgBr*;Xa?Jw%39L>wQc0O;RFL#a
zR<G}Nh;CBZnte#77uUNM_5-(8K2<)N%a*SFgNhrJ*cyW;i;{+#kT`r6kCei4w;bx-
zO&ah4lnk6;$G6dE&IS>8O(pps+bW#BrwR;PY28KWn0J2McJWW!2bCE3fYWHEQ?c+K
znMTeDU|U8+4&!i=*;?{NXPJ-235H$YM)VBi7B5_3jHKC2vbqOLqTsoao2!t8F$=>H
zR(>Nu*A^{%b|Z68gzEgh^|zvGYavoP?T%``rkw4CSW=V7qu0-9*q&6rQs=FGLgb^!
zisNLetS2w|&IgOd3ZGmPnC2Y=;d3kQn&oH9tfE2#6l^w->Wj#$DJz>O&^6V5Utf@o
z6gTYNWjCXWJxY-r?P=lZmEEi7QYI!|Ag9P-KExAX?|pFX;`#fwTW`*giLSk%A%MZ?
z*(yoq5w}JQ)v`n~LKD;iiC%}<kHrOE_@e5#=@N+xGgyUAj0q-P9p%MMdv=4neuF>I
zl>mh|=sP^H)3J;GZ0<_y{6jrd(-&4w<Ba-hzBsWra%5hCavBGh!#Pf}X0SofG2#hY
z%>0<2n#Ok6BZOHJ<#6QjtA>ntn=<arPWFqHp#>txad<;{^$~9qudBD9i9(G?oc}<J
zS?4|D0D5Fb4(HSfxN}0&M6|p7w&%1}zlfPms}Fa`u7DHJIyj_Q+aGSaQMRb8xc73W
zOR96jCq@PDeXCu~>UFpVMHf08J6g+2u)cBSg{Juj%bE`l>_R6wifa}?<}%lCmg9S}
zp3gejUXm?+)Os~qxjTV=U^YOz!;~%6#6q5l%4=m^^$cZoSYX0I>fM5+vy|2%{a0OR
z|9OlUb96;aV2lIc)eVH<(H;I74!5KZh4&@}vt`fDJ{ps!)~vmV#Y&>O;$%kPwMz=r
z-8r9t_dFx73dHybZHaQy<rVASh(~KK<TZ3jBc$F#3&@KX-yL~Okq~UI5`3#%4?o?^
zrHPu4Vd^WbJw{}Ys*}SChnl;<c@j(P@I2eXUa0G{g`^cE(Nak~r_O?_vhB_;JyI44
z$h9G2sk>NGaF|N;9cGm@gy@p8&D}IK14jWfuDm>z$z#MrsdhnYb7jmsRI1A@qT{`W
z)NQw%hzXvuOV7E9D?aj#(9}p;B`(*{hLOY~>xZE#1gvUM6{{Awr{Gb!`UWjsxx!c~
zxq{C?Y!p%WTFOUT`Hw7_dT(P1GvDf-jbE#yd9JgR5Rj7-fp~BNh@-ZxQZs(x*gNhI
z3Bx8;K0Q(YVgIZba2guO8t&s={aVyz(&!-_L#xLoY3<lG1@Gom7^A2&7DS$fqW);?
zsU{4}TCE&blPDV$6v5nk#9gbVYfwLcmgqyQ<zu5sBX~y-`!N4rQfWhk=Uq*0D?Y&7
z<;bC$S@Y~r=Q1TE<35~sGC;j&F1E5m+!lf0rA-Tf3Pg=u=}E}Gtty;gl?|${4%+BT
z2?E2Z$a01*C*F%lRjAzFZ3&g<xhsIg;lV=?*YB2!JJmb-MiSBcN@4_eGGNL2-r<qG
zF|s>|5*ZugBX-Z7KKd-p@XUfQVN{vmn!uahMY1=E#@$*u?cK7e4rH5^xtST61Gs_w
zSV4O+$Jmc*wNg<)ST^qlN^+SZKs(yAZ26Me7%{{hcDcnpjPwY&#zjAVcBWF;`;Hn}
zf#&Qv#0-384a4HKhLQwem<g!8Qrl!#tA6XUGq2T)J^NtcvF3b(<j!^GBmM_dNt91_
zSxO?TbVL(*A_Cqnkm6DBqTe&rau-8H;0_QvsUJ-nF0UYk*2~1Euh`_8t^$4q-A(0z
z^+xi@JIZpa6K>ZVL0rc~&nI0{og3N-BwX%GUGvEim&Q%%G0`W8<1&N!Dq+B!7G7G7
zTFn_7Dh7)Yg_W5#zVUHr&<byq#7wv<^<2`@rh3lVpVK6fq2uO4G?Py-YCi4&F7y7f
zmIkL2v4Cb$MCM}q@d7uU5Tc!Qp?z{)bogD2Czah3D;d)&;gCl)V7ly10WGE!j#x~Q
z<BQCs;#<){6Q{l^2$-6`b7L};(Y-lisFcKw?vywnO=$9Ec8*wvT>y>-FE%y+@O?SV
zd6~^;%RHcysq2bBbBc&B!Plj3hrkz5pC<w}X$DuzRU^_RjmY?qUuBai9N+K66Aui&
zDl1_!rW?$h(bzLPO+`2t6$BmIK_}RpUSQj=iHO_c#%OQAbK1s_%igXPi$BefKes*U
z{K87QSZ~q#F5mV^B~l5lA%qfmFFsaoCrU6YMd+2BIGoC@W`dbq8JhYE!2wq4UN7e%
z8moJn@}5qLj=R6Xht(}#Tz^>oh5IxIoMbqBmQOX5Eu}sgCdSwo>>>-D_mCyP6(nD(
z`4>GvhVnX)&-pR-z*!;<Chzf$lMhS@Ds)}Wt5fzJXU5uN%)(63%i3C_9Ix?arPI=3
zT{cV0DJK0q6QJTjEbvj3sCm>q&jHq~4m|3;W8bToaeCjSr==n)*%o`_776%b$Z|rA
zseBrdP8OXkFTJqd-EfI|N-a}k!w)fAoa@I&iwT<40*7-8)n0xbMJBnB@-51b(Gf6g
zP<vzS*=PcE_tW%(_D?xyFHFudBTYz-dV=fcC~>$i0%3&$uc=P0&dG$ugbD0B8voHo
z@Q$<8>)K1uRrKLCgpaZpO4J##mU8DuVR=7$^gXy&CztwJ9U__~;kNmH(ppN*Ay8IW
zxzyAK@<k%p)50zBGIpbJ&2PzlTcD0<pSQ*7o-pal<b$ir^tQ3jldW*=T{v~Mxr}ME
z4b+*a^u!L_d>w{hb8>4X>vEvtefWZ3`cruWj&fG`8ih<CmZ@%DEuTT4Mhm>hQ^nH)
z0)O7}X$glz1q07@OH0S-R*z*unu<Vs29<|L6qRcfjoTfV6_7;$fb&zz|K_#K?WPRA
zh1Otfo+i{?uIJuOH+C1KaAs`rv5lG8XoyD~Uaa0{FhQMC{nC#q5UzZ5mqmq`sn~*!
zC-;Wzg97<zQYLL?W5-HM8^(E-SQp|WzTF-Ln+vRp!Chf8r`#;|4fCRVcw$7u>Da;T
zvt`c*l&5epP=uGMZaH&jJw%)#liF{-{5snRfq|tLf;wD7JPGeDu{BY5>Ce}0KbSP^
zdA<khZLcu=)Cg)EGK4ml-HAzhB-`Z-_BtI0mUkH<-!S_O2{)BKoy(+{-8mxel|W-|
zING&_WW4QtXz^7x=X_QY2X)R*=53x-DL<7xoWB}Qc@!tmKS%L+p`VW=Jtt)?<(A>a
zYS0BMx4yRF`w^Pv{ffJm$Rq$cnuctI)2Ly~Kxmo?Ds`e2iutstZaNg=h2!zO<h7%w
zOb7y-cO*k>Rbs0_V6Urvx4%=>GV1^k(lx&6^9u(G&7DH&e|L5a(xFha+9hOl0~(qM
zXWIt<`HK0iwHjTW5L8?z*I1$9EO?kvX)oZ~|JP{&fH)v52xm1p1|J7kPgSEnsGlx;
zHfXp{eNC%WTkpI6SNPveGczD-2pnijMx`Q}Ba)I_iQ19Zw(h?JbBO#!*n{BeiIfUl
zp%~)+oDM;2mfU$W<7XB0Yd9qEtqhJe9XY}A3H<#detJvDJ3yW2L`=Z`C^~)C2PMW)
zotC{nT4WyF0>{}ASqi^=?XM@w83nkbvI#ZoAGLVo89D6WxR%)gb3F50yFc~1olaHB
zg~7YRl1dJZeAG<w<L|}A+(i@>#oYOsJ;A|2*9BaN9ONEhdu&eCHi=t0+d=1=U!@KC
zn`7*94uY08Ns-wq3LGC<+*?!HIgh}-zwhnYU_3^z^Zcfr{4f&r71ojSTT-EfdpYwM
z$WlV2$Qup_kByO$ngk35zyLf$^mGjqR3JEbS3)q6o`wxhx8Bdv4Uxq4*qUi{o^A5o
z3~>xn4_5BMc;q~pjEYlXkfU60Uka3IM<OVS-+|l?DWnSO^^^}0#@R0UKr|<ure}zP
zF+*gENc1g7>bV}1acGwq7b$O|*KDP5eDD-J>6@-BZ=FE)&s+$-k2od)lD$hHis~7A
zawarQ{!l)6>*g89M@0jN2vnS<`@t<e<2O=t`V~Qb9f6U7YGh_w;Cu%qu!dIDg@MTj
zf5Km4+8E_xd3&qdN_z6!+Rm>!q|DP`rj}dG)@&LCC@)e#RSR^U2J9?!Hk9aB+JSP#
z@|$t-ubRQg)<r;y*KUo$2Y&d*e}DErKeCho+Bh_dR_Nyv$kVu1m2+cb|G)Kci2^A3
zGOHV*6NZ0y&?kT?l->8({y3b04f>+~JN^H&mSJZuwVp1Jd!|$TB}2I0jbXG9Ss6#>
zOKgLoGAZN-waO?M*JOh!`Mm^Q0u3IeJAe8I+j4<#w(Y;-QiviUkOhSoIM9>XXy^E#
zKU+&d#C5kYo~U-U<VI0BdzGiO(*APpU{o#8fLDxD&U%jlhRS$?zm*%p7>w}2qsg0H
zcs`74F{g52P=4>%>7XhMq?oQ$4&kUH6j)}=t1M-HKkR0(X?;DvR(RP$h)107p9n+_
ziU>+nWLQTDNA>M%>D~Vw)qacRG%;{6<S2XmqnRf_&oiY8Ib9<B`=E7NU#wyg{?u6C
z6u~+|a5(bs@M)<GR*}J2`zV`+Rfr`X;;jXxQs8)@o4@`|BOBgMx$EdH3L9pygKGV-
zf2^2m+AZA-LL0BD7jYVxWY+Fb_M8Ge75ReFC#o@Qu9uY+VpY<Mj#a+D9`B!Z@Xxvo
z=&%ML_W3Tz;xJmHdP9x=i&DD9sV0pj(eEKbB9RiTwO;2{GBzx4Tw#Gt&A~6BeQ_c)
zD;16k;lJJm@VENxfeDE8Co5U^e%s_HzR1A@QCCRjF!}Fa^7Gp-vGU(2<S!@^0t$lo
zgEwFO@{OMkk|Xm2BY@zqLgBCb$V{SJBhsZFZQ?!AEA_ZIW3j(9DD{wSraS+zK3gt*
z`E+e8@3Is{KB`zc?q~CN4pOxY)%z#zX>3W>(~S1q3Y;&7rpw`}NNowM6vfB;PM@Qi
zxip)hMaI+cf4U=@dQ=QL_rcXKBmWkug?z!~ol#!v4Jx}4Uda>{XYM}j<1CHouS7@<
zD|b@yab!k7uMp!!S;U9uWr2>_XkZ7Vq~!PSkH={9amITTRov`#SD?MtEXiGVQ4YE#
zKbGL%Rg4=J6T;ekC$*iH@QDnR)W!vjj(K^-^zhd{A5w@l_2bOQwQA4UAda?vd3^jm
z;ppy6+szink1TX6(w|77iLd2m@&_{e8*IMf@wpd{g0ThDfO+$bTu+fAq@O-$sTTaU
zcab&zYTtFQ^A876Q65<4?Hwx%iWF05G+ps9fo$yDw_F`9jCgeQ%QH))I#y4>ZKA<#
z!VGQd|CX3M2p-)3l3$$bs^SCP#}BJOZ^Xmu9x3`HlKCbT=Q!aDRxn&vH8bwq4actj
z+c7r!NKe`FzK{V}L0`c(QbWM~!svfs2L)r7oj33k3**Ol_bhCU_EblSdWFh3c7d7R
zpzzj3MS7Cgx|(8pZx$KcB?cDeao7@hfN=thcnp3&)aL}5xWMjsI*Kg)<Ocj2&T~t)
zqt03$0(xFh(h4!5BUO2z0yXoZapdleDFo2OjdAb>MN!4mUvmTS5tQ(SiPJ><5RVw%
z!1Km*+!Su+g;#E&#%&uV8?MBxRso`jdhXM8q+a$tD3N3=7g$XGj#DRqIM`D14}6xB
zED<=+yt-<}?GYi~;G`%xT$Jygz&D&5AHuQZP>Ew{2p0b$#fO#O>*xox#m6Dq^XjbG
zce?@fS1QT`%Hlc|1sMzU>c;I8@_2~aI|A!<FIX$xK<1GQrr|YrRQzwH_gBMU7ZJow
z0)cG#eS=CV9>Y4*wmp&=+ADP3zWInW6-vWOOrPrj-W7o>9nWvp|8mDcUDSEsW=<J0
z?Zz~XA1J!!bM{#c(5b74Ps4b)Q4g7fMy*P#aRlEX-N)GX^!F<^9vCr5ZKd2Madq27
z&k}Q195EOQ$q}iroDK_(daoDLS^aL7X8@?7iU5GE{)wl5L0Wz+-nDB`Y7(#ew2U^l
zbQ<kyJ2S*PTINGqhF8@d8hi9c)#&{Hat=2JLR7V`K=>I=*!;Ds^i{N|^blL(u$CEY
z!*=`mw`6b9WK!N`_K^IxDE@VqPBI-%!<xi?plWPtkGkqyIR+%wOF*9Dx0V}4K*^g^
zvyFfY0H%$8xB0lw+3VYAQH_eb*qBMs&1dD_K#zISaz$#;u#A0)WG8aR*r|TmgOReh
z&DTKmmX8$gkf`eQljUZ@jB1x?q+V(ZtaRVz(5he9)(%<<dL&97eYX$8#1~&ml=lMa
z%kd{b(qso3I~)k;Bt=yr0YGm)11j`LHOT?^BG50I2PDnuc_Pj;4FLOzJ?LLw(EG%^
z3FO~EmYR@6?cCt%h&JZ}<I065FqltOM#8dTPJC;x%qkN5N(FV^$AMS{Dy?X9esyUF
zxBeHE-?49(XP?JCHBj>f75g|!zJ*kaCyb%r$IBMMJ5l5%fVg+cE)46Ld|aK|@<$fs
z=cEeFMRZy3TR;Vt*g(tWL%#I+I(UN$h2`@{u<<1E_AfeczkTj_DiJ?Qd?v_>+T45Z
zDI78l22EfDcpZ)KuQqQtCYgqhSiB@jDLf`>dHJg8UV!G@0+NM>ZjEx~l+k8;pi2lc
z0B?L*I{?b!+o6d^K>45*o+=#_sDe~C^@vYwe5tgbnv@Hbx!Lix)9MK*-`%|ec7NKs
z3ysL2MZ>j)=P!HKhZ_f?@fGomom~c;8p*kgjy|2GWWmo>($La5+I0n)KH;5xYDje|
zE<Fa3!#ia3l5Mpy>i1lcz6pnftl8#g9=zgt1myWA!y`H-v~6=hJmNG`rz2`nz|?|X
zJ!b6h$cDgg$76y80?pYbkg`E15i0AJfpHZuIF(8i#`D_*RJSJOcn$TLyeAzFA60$H
zH&{K~3=NcSrr=EVoXAVzHmEJE5SNEx1>4f0l$PfxTkp$&Km<ZbY_BEL|H3?jJ8FXT
z#ZjqQ`^n+f<uXsuF)aIRDIw@=F@}USD`2-L-Kox&X2?+p0_tzz4H(8MvwjB~zJN-;
zSi3E4u5ft1#ahU*XAi`AdAAd|i<5bqK#jfgc)1T-GnUHy)fYm%6phQAnJ|K>6B+B&
za-Wg%^6d5TvSDp%hmq>rvyA7F+iZCp`G)u8GUpR5_cAby`17u?C*lIPGBkuz|BC+;
z#5I=}r<b#rr$Gt{r(4aJKq*@ZnuxMNJy`R#3YC}}Grm!shpmlMFNbis)ZXmn#i2&h
zQ%l7#q$E)osZ`(WowiPQY%2!Z_X8ly!d>4ASe57zhYjb-hpfzaPq}s@b$_*uWPPj)
z%Z&2pe)|>|0<7%5#|0D415LhPRl`ml_6Js-Viy~;Cw{EWqeUiAioS5q?=R3UVJ~75
zOhB{E0#-)bXTxv<TD*+BSS!t6Rwh9$X}%D*7ZNy6wH*+dazWeq3Ium8M~=~fR73b-
zbrqg-Eg^lCN9+07&@_DaR4O)TGU!urmp2ox<?#lBCY<yK#AtJ%TFb9JWtkawr+me|
zwRn9vKPm(CCvfUlyfNkZCdW!q!aZ(K+_&!jP(v&Aa;ks11llP1Hb+an`9cuIC8giU
z&-+{72bb2F{q(IFOv$*T49t3R4?l5b_J412pv$OhGZiO&sB5Co4R_mxsmmYxE`8vU
z*;i=vGT*JK%wEp5@1PI|WSu+VKyfLnLcx4-JP_2CG$j-Oq{|(sfLi+m^f0<w97`Px
z&s9fbpWtfqDP$C8PbOUMrZjil#Ub8U)=KPIT4hIX!C>Xug6?I%O^m4gLUMjzzUGHW
z+&v!MlbLrG%Z^2$V@jqE)K}~Su^oPb3h-75N&}11e(-(<iuYW!<DS#8p3jgyGT|*r
zx`L9s-k@bE7mDcyqU-sJ-SSW?Xge~AJ!}Fp0U$eQ*PVf5)%t9~A7)Vr09}g8dJTL+
zA)2+9+Q9AGR@Wop8K><735NzW+H8J%H|u(5kRALx*f0d4&JXc}Mz;?p!;Y@?7?e`y
z=UYJo8rwih*puo4wApX?F<TUxxg<Y(#{#`Qkn`Or2fZTQ5+U&KXCMgGXMX<zz;tTT
zv>Z#&#a=d$es+@MBzse|mp>S9ekeU7UzhpgaP8A#fqxbahwsL-?#;klmrd`fbpCq>
zimxS0IsuXK5yU?&%tMc#kiwHiX8#oM3nN-78!9*<VB-<*Hzw%xg>C~41@)(S-#agF
zxNo;!p&0A_u>E7qL|v*?;M=WkS)<V)YqB-o0{D8LD@)PBH93M_Rgv0Qvf4CBXHJB`
z^LO-+!*4^`n8_><YsR$+=RUe|d()#wW=n}r%gGyd*EkZo2%aZm;d59pDcgia0qTql
zWH|-F8#jJJm9Lr%3e9Fjc_$mWjdqH`BQGCQB-_1rfORgE@(yjO2kydvKAVZAw@pV9
zCH3^NPNA+VScW5ZLn}~;Pg#hXF8*iX9{zTV<18G{&rU9IeXnhAqZn-P1zdGPld`Or
zH%YrB?p3HRx4sIBxOGU4`>C?Sm7j}_{krMC0nw=9yX2jDr0NTF=seu;Xke)Ul!~PO
zdN_%i&GG6pW$xOSJ>3jt*D2I(ACHi;&Hx$l0%B^J)1>kYKA}15^X<pw%p!+iU~Gs%
z6)S|>KRHW6ow`sa43JbJA0n#Ke_DT;l=p-y-<sfC9S}}YH8{SXH#z^R<9m&_9;l1m
zz`n~rS=(c7sg@}&M0F00<ua^s=}BTK>c8()jPG3H&%#mYn8perG3M`1^(>XEi~A0*
zwxlCac|4QjU5@LNFGh=>H(pPYJNEh!SPDi+rf%7)QuF7~WMJqb1}C+5PTYl!z{lkG
zm8GAEt)$wQG<qf6JTQ$ffYu8E&5}03DvG|DbGFo@nl0~+Xd(m0O0uoK%<FnuvJeDU
zM^EE~63HPkq?}wZCXu_=F@1kByqlIw|6m3!USz%c22chx)gCqGt3T6_#$SB16gtB4
zV1W_rZ;wEn-Y{V@_^C$+Jx6)7ct&w?LJ|39nV|JA_a3KuXIKDF%^WISQU$0t@n*wI
zt8y9<#xp=~sHYHrE8W*`8=CHr#Mv_M3QJpbY#)#YlO=UnTgrhRSVlRZUU#<Jdj*e@
z&|Uvdsoj|T)te8d-jNgB@TDkQj`I~*;nCyucr+SnoX%bJZYce`*Wl<CE~DE0*Kb9n
zBu*#D3bY+YgZ2^}E{W_GtAi<K9meWLftcgzXYx<4gg$`|28KnjjHsGrgw>Jwg+U%w
zv6-rlQqK;@`>V0%h*n3P*`4Pf4)%ZtiLGYHQ%`g*2KW+vb5rLTh*cBLIR4br=exJE
zb7$Um_;urU8}4U9Z=&-qh$wVnCUtJ8RUI@VfIa8nt@@+KtxEuWrT9Nmq5+r?#;U&3
zHJ6{|XNT;?@#WI@2R#ua79@~MppPxuA9QuIT~2)B=%fj1^2-Hdg_{$Vt3(okcwe;&
zbUfG3`gJB^c+>*Ui^e7&7|71M3BAwJ7Xg^a9z2X*{q?G!uSsLbLq1F+Z>1Bt>xy&W
z9<|))V4~A>-8oQa1ps}*Kn{28gK5w~RiIsDj%=3dYLCKF{i%r$b_XOK-fDj;UzkPh
zbjm&u^IJGeoeU*(d8DDY*D5q8Bhe&QdCUvnF5+~s@k1fd3WBS~=F3H{i(N!y?&*B~
zG1WiCmBjgCw|cDFg6&QpQmFfS;&`8JRxXd{e!KepbD3szV6FXOzpc0A@fR422oKHL
z8)pfWn}#6`V0o=B-<?oHvIQafIF#q3_oZR0P#0vwlwRjoATo}}-<WBXKx^*ESmJ$k
z3}7D97s<=By{-B!DK`L_8FzrLx_K{ii+BHH;s$6gq)6bp)8QZ11HjJW;tXL;S6`xT
zl>^mqk$hSjQU?u0;+zhVA2JM{f@YBJM4kkzI?yL`RbqpeuD0X8adPd(`(CO2+^eo*
zu52bThZi@&+x>(dZF<ba7)`oAhVMNzKKSqo54B|09U{=O${h&1eZ4Zj&BwuJJXsIc
zLnWMJ6d&iA2A&2F$K#_Z@c6$HBRDbdN#Ez?H@+4%_J^Qozfxt483-HVsh+#o^lru-
za&}-AK?AVooc^9`#u?(yR!Y-83+hmx$gCuJY)r0v6rIPQEK*hH#slK{7-%^$pXXgn
zQ&nqCbpG&ghl_Z}BaWSfPGAK=v!O8us@klr0UIvWyl9`BPew}Gig6mFCOQklge+z}
zF!d*?(1!1X&gkKq_*%90TEzw0Qik=+o86Hgqt|A{LAI}?;fkXEB|}4IS^Qk4`|0bw
znz3C)p!v1q4UmbONgfkOY`B2_HuCT$SDu)wf!krA_ly~jVBqEn(CBrg4Rq9PT$A+K
z1`6@sjHT_Fdhab4Q#YbQOD!PzLXSQ5r}~V4d<6*OK#roCc4DEliM|3?!9#Wb#skMA
z5Qw7z71Kw(OOl`$3lUK~6{^d)X7#<`M)_+(gC{in@0L7E&GSE|V-fN6<$Y<aqBNNK
zSOmH-`B?xWd)sSf@pE5#&jNmU(YL4YQ5TLaTJI^@vmTrQ1ijOy?CqWdVqv6u=MpIV
zWw({i5XGRGbZ49yb;z<TRjqhCU|3b8v$CYd;HZN{{UxOcbrgS|V!ZjaJ<vytZLWUv
z$7c<BfB=LI4_`QPe!K-G675xW27(D7qvY`KnHRROv)%(8Y7?Llpe=;V@2ae`p0%vb
ziwHpQywt~h<9ld5cNfbbA9Vt7i~aqTrGIs(PY~N^?n^v6@pw+b?tdlKks5RVqj5P|
z)$L%H<WAVI<h$xQP7GxOA&PT1(t4+wc}()B&`g?stBPaLV0Pop^VX$db?KXMC0t~D
zVR28zI0p?6g79|Q-ooH#h_{B~D*gl{af`t&%W7k<(`*gEYY%HYup%cPghha`avOvd
zu{vF0Eo6+$@k4cd94KForCl&4HSoYbg!sj5l`!0@;EUfK>)!61LqO6T1D<DZmIs=Z
z{dDxnwA=TL)%vXFSns^qI78C(T$yEbL-Yc-s=o-@L>=TE8oWllI5fCWLXFirIc-MM
zuG973d7~uIhTr1d3<^m_K{#2rL(-62U-B&MX9>tsy=6_rf2@OiBuoa&4~{`A*H=3F
zpqqf!ezJNHuj`eqB3`8ZB=Z1Z*2s{34QwUPeqOhv0<L>Vfmm6&%b<{shZ?oYSXTSG
zJ?+{-Fec%1f$QH-280@Lvh+jPk)klFslOVHEp@<E^<!PnM<O6YP(IeM7REWtj><@q
zT)k8FsdMVcAbDOx3WOJUGl4!a;5C)HAN|~)<C#qNCq>7;WQ_vhegk?7r#RWdeBe#H
z(oqUlT9Fe<8XHC3Gcojbq2!&<pkPi5w$rbo{^UR7o(eAIx%J8Jc#SwQ!y2uK9}Vq-
znrYjdXSzMw5PLHLAaEWVB02~}n4_RtwfI?TKqYz|*owqU{T&h~|8F<OOaBBxEv!QX
zScv<L?UA(gwP-z&7Nd2X`wU3Ad@4?LTJlgQh<`oU!D;b=&u{-lm=A)z1OL(S_keix
zRA+>tjT2_mN{_v6*yE!;4*!e?5w(NqCDMWl&HL$^d;OU$LJe1I70<G?|3T`4P=`su
zd*Zkq1o3K)M8!iT2_QyG$oA-|Uu@|P*R7BnP+ainj+27Moo59N42TJd&8y8_6Zf$L
zqyn<j^I7Z7Ok|9d(MFF8EO%pZxGj(4a=2Aj+ih=QifPe)-lEWXrW5m!iAX<6R|F9t
zeB$^a$iquNq!QK0@-Gf32L&T8kb3*Y<Z>Z)IHhP|WM_GFDsJEBHC_pE%jd6J@%D&q
z-MQ_U5Cm6mx@}Z*R%ySGp#z!5p3jKG&v#MC)Pu1nJ6BtAlGPbHT0lw&Qp08p<yC<P
zy_{BZ+L58y+U)|5?@BP<<DU1>oqHTId(^?ie%Lho>CVl&A>yE#P#hL(L-8}{d|?2t
zfXNxlu0e*<_8D-$@1X)r6@ZJP7dHLQKh)8sqHnF6O6l{luxFjgY{59xSZ<2<t1^Di
z&QcAQwwB+D5&$UfU@5}unT7BCT#9a}$|>ANRStT~U#qP_C0R8%@mWL;cCdWuwYE84
zPq^rF8)1dE27$YX)4C4S{?0E$q;t}dPbZk4Kf%vYdBeM;flbzh)EwmSfybuatDCe(
zu5eilWK|IefYj549YNu<K&Qk>1Eao328w}Y4ikZp)bG;oaG|wz6f1lny)*2xFcT`f
zxa8PkYgY<nAD_#>?9rMS*8eQk4TeMbwxfxd;zH7M_>@ENun3o-&JgR`6-#CWFAv7a
z;RXe9h4-`uFIpS!ozfmlTY{K#1~-E8w-!$Tr~NNlIz*9_7t^Vuz$x3EMJCz61<fTo
zeAweU-nFR7;Nj$IFti|&uaq}(lK4r~ZvQ`Yopn^zUAON6LAq0<ySrOT=@g{9lnzM=
zrMtV4?(UG1Zj=(~lJ4fN?Q_oa-h0Nm|LAZad+*=cYpq$|`I(Wv>{U-VI0GGBE#H>w
zd7+fDxZ6#Xo_qd8J8SSlKh|Mo+51`T6XZ@TZ7a%gM_d;GP9Vgg-AnV7{^tZD5InP3
z<CsH$)5d;RW%#XLQxC#RKq2NRtFIw`JlcCgHoF885e;OBn3GUBTkYB9Jj*{7Y7AI$
z6d}VdU&V}jv2)S@m>0NBU`4e$Gp@oL#sTd^tOEAFZG3jKruv^40*~!EOJmUmy|SVo
zq%#}9D`o}+cO5ls^g#V88hq`j?(+wAe@}#X7XhE2k*XgG;&E9Gq;-TRxK4>Rj1clg
za)Hl3wIn3_cYjpChWq{5b6iOAz)Ti$KTYR%GPZjYht2z!;YkggtR&wp;Kf7A^>l_P
zx<UA}ESp+}AT|M=(o8$h{2Tvt;vjv+x5wQ%*GN<cjbZ;)6Ir$xDc#q5C)CX@a{C#c
zpQokup)yx2*bgM$cmQm{LR$lKS&e?ezYC->Kn@R1aDe>D_Zb@9fGY%7@rE9lW2_<2
zCR+zJuGe;1{DFb^N_q`W4*!_6FpcBG(8NWMx9MF^NYJ`IHj=t}7eP~Qn??m_zvW$a
zGXa`+1w0y`nIe^!woOKHo}-W&k2an?k~5?|T+9y*<>t|N?dENmH*zok5p^63ITj0e
zU%w$lKKvGl-4T<8{?V#kYmOQag!&Q>9ntDEj?tv=ulUA~3nua(z8@+xC=y&RT>7j|
z!C_}+btzY^ch$FJpt@X6_51w<wfq`J&{UMW@1mUp^8!Cvz-3R4wOx|ZUF-^yK?NR!
z2v_oXAHKoJ0pfoC2+yK*+)3n|5J;+LgH8IJHB><rgd6L$da(gNFrIP3doJym)Jza8
zPLRRaMEJc(L+VjOT{GbYTDq>G1V)HJPx%I-Mg`61ZWL1+@~K=QL_;9Ink$FjIV4R2
zTFs+nyXYs1lbODXnINefwU?e(jRX`3?+)vz`duP}Cw~b1ku9bJXFi_UZaGO23DU7Y
z;eiD7bI%}omi&-%jbSAuoE0ktd#xNxOU$ny*Kl-O-ep<PkJE*p@GE<N7ph~<f%!++
z=jbGDn~6G?hrjMX-{l^FEx+m+AkS)#&oTX`58@CpfU-{KonnXq2Uyn+T$dIlXH3!=
z#g}u*&oM3k=<Yl>s!l^ve*^mBMK7zP>XrF9v)t>IyTDG*2F=}(P>sIpEO3N+hPO+*
zDHOmDn%T50>gPjSQchYN``h07pF2j(6V8pm&a;&6&xzItB`rY<GcA0!=VQ0HHUAi3
zq_5x-R`mPt!lQsQ+w)5Uzki%>cZdMu4!7>%?-7{AW_w<dS#O~VHWN5VFkl&Q#p-4M
zUIe$e;Ag)-d>H?GlkY()k&l(t!hdUvbd|pB_U^(EFBAOKuLQ^pG$R)NDG$s<fuB9-
z%6aDgEknP75rJ=tsc880HaisNQ_Izh>Tki{{-7Stm;cPoM+Vu9DbCug;<X#$1Q=X=
z1omUlg1j}B(F#aRp;_bDf6HlLg<8Q~y{KRb2W~5>szvkGquN=KUjnXSp3A>;ddlEx
zSv=3D%ovmU<gt-9^vL?V01#!+)4;m(pNEbhTfy0pZW_8&@hd?>*%RLBDo3Zf)oXHI
z{hCDLy|MZF&BSMrmGuIruXF)NsX%NKP8?;a-Sg_^Y+LiuI`h@v#{_h1>J<e0)@z}6
z&~Tw}=AFWKTgAMnhqaTUS*^^GSKj77^McR`M2uI0$1(&ewcAUs=>P<y5*P!}o!tf$
zEB7D2B{BlOEoc_K2l2HRNONEQa{Wy%5r}hT49XS|?uPVBn>z59%l=$-lP^EG2Q9(o
z;9bCN>_k$RFq|5Wvvs?@C3tWgDm3s(y<*8|JwN=>O2~Xngru(NOVH%=^f)VAXaUqy
zXdwN13y>a=wmW^G<Y&~ZV8S2|^14(FjD_?31zITkLARmp$RFEE+@c1kvn>A2d+M_u
z=biUi%V&QJJu`U#7W3@-CM1*jUDe8J5Gl(J1^-5z%nMn(eHU=0{fj`*$d-lq<az$f
zW8%kCa}Q=-VE9_Rnz=&7RETiI-`o2cg7cprHh@flLi`EfN${ApaRe1o)2qNs_3J^d
z@EEu@uuCdCK51sxzzDaTU+-noes>bO95Qk3w0B*C=szI`<ql3df{@$&bOSIVD&JKb
zcl#q&i%)G-0scAJP_Gxb5GGb2%LRe;REojDy|XpF)Tv!RQvsEO=3$yv^<yuMzh$-w
zHyE!URb6j)uBMeL_3U!V4o)?XVy^*#9AE`74WEd?o8`kMmc2XubH}>j{-y`sy88RE
za1-iv^a0u@t4BE|Y`tPN?aIHOY8}xU;B^+QYexaDCahIa#53#+^alF{;@ZPD8L_q#
zYl8I|)@1fEzntk5c5vbQjrXjv?BB)dLD&av!Fnw?k$<8kyn6`dRDiL7#BQO3;^2W4
z{oLiYPU@r?=CiM!ACwLC{LS?N3Ej?O<54oZ2@=O3c_-O45Vrkao<mV^7tI3?sM{#j
z>?z#Z4B2RJv^Bdaa{T^lO?_d^Fy{cjC2p0)%5g}wHUT`XFgU|Mr)TR}A$XW`^VUzc
zjpJFzkF2(xlb3peuK5aS7r*cG1ij*6zjU#7+!)hnTT%XVGsyWOj+5R_1Q}<&!B+~6
zgwV3ZdXR9InI@|+J_1$N5OtOD=IQJQjjR2IvtVLT>E71&7bPqizi-qyPx?YCJ1;z%
z6-|ZzUPwq(a1Edr9K`xwplzrvPVtZf@_oTVm<-h5byMI9+5`dwy{{G=_kq3qxHktn
zxXzMBI-M4Xl{zj>Q<ThI{=N_@rTxz{*U6vYCO%8)_CZc$0n!Ch{s+&?ZBZ=X)c*e1
zXalhJ2@r~nk@|iS5Sb}}8_q^QQ9}&aL(c8-w*45n7qI%B+fcR-8Lig}Bq8xzV*iCq
zj>bs_2K%`LuiK}|52nix-3w5BHx$p!<E~zunfKm{EM7K0Mche$e8KPhV8s3xsf_`W
z#1Bcp?MMKTjb6=Kg6ynq``?dx!N>+u5#k1qI*WbKAD&FATsNXstjk{>9eg)rMeO$*
z)Z(RS<H0hIdxjX;Q%%HS-BlGM5$<1o0y>qCfJ1W!pdyfK81e@hBMfYH_<0BR?Z=(2
zUtA~~SiONVV{qjtDQ)O_qK7Y9Sx{)6XA)5wq4A>pe>D*HNp|VmZ9nl$zT5KiG%)$s
zw>8?M+Xp*_1l>e&1t5Nv;1dQ}An7l~oV_E}+K@wM2@FTX$G(HV=izT4#t&V<5|zaz
z!WA}mLAgjuGDRMYik%krQV+Zm0k7hi7ma^G1DITp#OAi2=ozP`n*h1%$RIu+Fu4ED
zPykgK@#zm)ErI>)t0@z_C{tMH9AxRbzZlH^goGAHKNUqlCBK-N8JuG+%x-AS%o0=1
zAktCPD(?e#iU?ToKkEVu$p0=*62$kw%3b2yPJ!Zfe`!D1o~tdL@ZxAww0p%NFA7nu
ztT^3$#v!_S<5n1G5Kig9A^cuyp7zg)1BT86185MMCfB>w!eSetlk$U5;5zxP`aoR_
z`-J0I(7H=G*O&vbcHPoROVJdhF`|+E6q_ycBmN`EDdP0QcyJuH4fh^2a%<TCrQ768
zj>(#UeU4@BV-^+1N59@<wCpmkWC0v=pos<890TITe+7Uug+PO$v~X4mdcjUSAB9EH
zopKmwR$VxAQ*4DZJi}AaY*2K`ElS`1C&vp?iB(>2n3W8i56kKci~P+0n$)jYhC)2O
zEkQ?BAL}hXs}@iPQD>+T8@wl1Jc**MT-_&sUO+e{-@;Na5(P}jJw!%$lsaz=S3-kf
z`@LjgS6f)+$HMgcFU)^KXJsa_rk7hJK`G<px6CXWIq3m%`0{Sv-5~5;=NkseK*TSM
z&H|8RS{ZmHi-XWP5;zVj3=+whjOW#kG9L*|<o@noFri`m&J4QbxOU6G1icIEnZelx
z_o}yHVy5{!KB1Szb%$<14Y~mlcNzQ~{=uO9*6(;HxFoaYCXW4S9&=^OeF-86-jIOk
zC!z?nM>4uNw?~V-rx86Q<bDX#xzVL1yz?r(eK-vVn+>A7D3!!h&d!0mwi2Rzxblm5
z(Tu?(0nQPfmhY>dZ1c%gak2=n7+dz<4j*jHkUvMuV*THB6xp9){v;x5d4{Rm7%b5y
z*5Az4!=3CyEEWlzI8c(Za(WoE>Gnh(d#%`WvMCs2%nAB^aAOv#hj|NWM<lGLRVAy0
z@lsfg2{EeBzPRfe*`B@<?HL@OO#)45;APz5g57%D?2>hGKChl;=9bq7Y(H~Sx5R?3
z`qE{?UDpQFjJ*@vinnM8G6@|}d6h=>u`UJ%$y6HiclB;O>s8P_w--C(C7OX9vz<$S
z<zz+vVoigI%5md3Ya_Bg@n830UfB`E6ab-vf~c$Nl$N|-I!HZjpLfq&!@VavJ|wf(
zI7F&|_AC6y0enj)&xS@y{XcXHs(0HCVBeyHee0!5tMlKLY@`iMP!wC5?LM|kN7mDJ
zO{T7Me;VaI6#VMixa_o?`EdGKQ$PJq-0E#W9zmG7WU8M*D*p6A@q`J;#0`TxL90Wc
z;a{#?5xk$h-N68P-i|y%pxmF?BJw<uwgd7EK^H}m$DQG*CBBP(;9*e#Fb2@<03m?=
zo5o#xWFX{?1UG_{bG3B|#BBe)rsVwC>XXSev<*(h)mp7<hRGL+Wl_VDSk0j=x>qot
zy>{MRGD}i${p5MGhB*FPi$kHtee5$!%H%WLfdH_5SXkmB)XA`6yv$NWTn~h*Wh-^N
z&v~{6P7K~9Q(<Q`V*Y)fe5B)V-y{ONe}CMgyOHqEzN(k1blIOcIsN|FW;st$vNv1*
z69}8?KWta%pe~dML$i(M@rbwrUBI5yB_Et4WE4P}oS6h}Q4ZAAhm*F@*v^`|`b{s)
z)lS##98@#t_Z{(d^;pCI<On5wNtLW*Kq)+PvvP|$<*F6lJ8gev4L7WCG^OES#Rk5T
zH<`_?uLO6n-9{EWzp@q8jUY>eYpy<f@vDUqsN=6V{nsMZW3C8(0~t+&`klt?xb&-7
znWVby!0OLPz<C6Rq=?q9Z}@kCAOxSPe9PSRLAV=U;kw=B+tkg4q^SWgMv#bih7A~S
z1%&V{u8xo;26N_r)Kdfj6>I!2Pt-x0C6nK2>#Iy0$J`B&Y|E$d9Dtf`hUjmf=Qgb(
zOvvZ=XXE3U!Y_Mxh@0I`*5HtTC?eThTtIr&0Q9P|<MzFd66ObQK)}q@yIM0a9N|(?
zf+5c=le8Xm-pP3uXmoL#`%|;bc2V@y1FL}*Y)*X;G5*CxQX++CIm_U+D4>8s0l5AL
z#ZC5VP|-!MS3t?F&U6sVgBJvzt35%D3!_qDcmb#7iPkk@S0Dns`15n4;<G#<kHcDT
z0;6VZr}cadXqqYmp(bxJgTk<&%iavg@tbb?TY#BE3R_?0!N?j@fK!v#YHI7#2jmRE
zZxfhl2A&Rp_n9Z@eUxzu1!bP2$=9UBY=&Kmf(LcrpH2wX=b)%5U9|wpO#q+CtpNi{
z)xU6f(1nh>Vklqt>(OHaN9hd2<x;B=JPVdfO%C)?HSZ!}yIGSTJS!eLz1)39O^bt3
zJ?zBl)qW>0C`J!)*JPlc*@G*t66{|{2<O*=Rn+aFx!Vrl4xT(mogd*;49xI%ew6Ek
zBZhcQ!FFB!_IUynD>+*kK>kwV-^BSmqVWMhFHyzM<pvA0yi*OWk5|4i6ZI)y0zwda
zAaxp(g#04-W<k?#+hF_P2q?Zk0g#d0mQeFy!iY=?3HSRMAO*od=2X313uEmcHT_%)
z8VfY<L1J&H%EnPs9y|E-Pfzx%FA%5=1WQV!lo?Fs1gKJB7j@AqIO9TRC~yeZCL=x|
zqyTI2%oNBUoVGJuBYz%7@Gb|xb*MIOA!Gk^dycV*w^92dC~{Y%zYk7)3?$`(+tU_5
zcqhV%ThCX%_94{jhjM$!{BzVg>pjzKIQaRl@b^zeKP0e9<)@HUY87K7O*a$G0z5)+
zeRS7Q&s(waTE2iv^5Rbxx_?^q#3mCg<#@`9hK&^)=<c9qhbH%>5mSz)-lt3>V@QKJ
zj9ed(x3U_QA2oisPvRV#*(u83grRr^hw}<UD_-woHx^=;7#UNDKQ%cbm7n#K($yE*
z?^i6JTJJ8~8;>5^5?a!)%EoWn8q*#-#+}B1kj`7J_y%aU)Fy$}#C$Y$wm!RJ$z`v&
zFgI~H;hZH3Q$?$Iv<F=@yp#QxhRn)1k+6sJJQ6mId@=yI31hSBHNd2}y*l}>!C)gV
zvPKl5|EUb5tFUQi|HR9lPu)u56^_uW6_BM(+a&aYj{Br#vg1z(A5?x#!ls0#_W3E<
zbMs&Ot7&q5^=`@Fb1?SM`SxYF)4W(QlWYel0V>CwPS0P9-m1XaqnTplPm>JK5$!&{
z6g8d;p1u+>nW4%1QEuQmOWDc(*!=Y7;1vw9xES;jIr@T?Y&I*bwhex?z%A<SXOrm0
zZ-e~|qlC1tzJAD0z1C#Jy`UwXRnK#G!(`;gVnkejB+zJJKKuiyX2sSjLy{~tmi)gi
zdHj@*s%6N<Tk9SH(or12c}R4{_nB&o#~Mga$>Hw!hv}@vO=dL}$mEs!fo+5S^?eKk
z4S1GL8OcY1xFYns4)#{YaIU{cF~xf?G0jFs^rw)=g<2SITfnZ<__Lg;JL_;%YBE1R
z%4{eSzJ^OCzgJ3zk83x~-0*Pra>9{I$q<+eH_J{tD4muxS)7U7rPFY^f?8PE7L!uM
zgl!^`5=dgnce~Cn)60hZ6b4u|iVP9f_VX#B0^ZGSM4=Se&~5(wU6S^Ud<9iBkxP<3
z=7jH&2S{`ge@=&4S%1|s^zIpySgY$rpWUuJBfW-7I5`vnH(~Kx*=)BH@*soMf%h=6
zYAVc#8m}}xJY&@bFn=+<s+`e@I$2I2O#ST)lMWT$w&BWmXDHPoN`v~#ZKrrzX|qdT
zU{yK)4u1wmXlgx}KsuunR@^neor=t_fhrrycKG|=S1M&vm<uHJ(kSi=<n+=c;V+G(
z#=aj6kY)F|x+&93-;l+d?)IvL(;GL`agEczscECjSJ6P}Z319hDQ(MCS>zCKS8*C_
z$<o_EGy+8*LHYlCfA`K=d`fpzaY$amMHgmoSWujBt_KmjN5!OpUKNk6pA46s)nov^
zK0(b3v$RfS2!b_kq4#a3GZXnlaa@vtw>wDP?lxHGwp1B_+IIOw5s*NA;-W?I2JmJ?
zgs5l6<i00%wQMhsY^N&J86zsqn_X%)KucV2T>7%eS1+uht83$`$D89G^zkrN2+dd%
zik9#Ti{Ig<51k}#Ot5oSAx6jVK^?`MptP*EU38_VoN+x|LSq8{o50xsq-9w#n1fef
z50i{fYP}JI!P<d?{*hD@qQWKSP+jlXGC>YYkQboLhrob?EC64*3)F7<W<Hd#@~nYJ
z#d|=hG~5I*GKdnSE;A}+`}uI&oB`evl*B+U;U&#$J?RWu{x4_D>K%E0cmNh_k;<T`
zR)a$na)`=S@KlXWOiYsmdDM8KO=2F}hQxzoSk34it*F(o?!h+6O3kwia_lYo?)3In
zP@k@9!|uQ$7#~^&FtP)+Ld8w`DqSI%EtTPFu_RZd@5HXU%MAGrX%d3J5^3yz8aPi%
z<=<?0-A-qb1m7eQ50A89i|N$Ftd=q+DH1iRe7)m=-Mcz(SIXjgwBgEnSZa4NNFEk>
zS6qr)s@Yb(72&+ND2ZSg{?+KK=i-+OaAaPAMG~STiIWBkhE>D~ea<`u_bY5=xB7!A
zq9YD!`iypz!mS##!f>DrK_E(hz+I$k+p`z)E6&%ByY7G$_n`t$92QdfpWPmigH^mL
zR)>!Xp-lah3CL*S@2JyS<1xGZ#n$Pz*e4}As04o-m+UhlE`4nmaI^xn?dBLsgZ1Z8
z`E3Z-_p{Gm6B*5kKCX*$JXnecm@We2rncft4V{i|+LDK`aVPq^#cuky?fJ(XZz~a#
z?T726s~(Ma=uB>8<GXKL^rbJ~D>KT8!9>u4lOg2vI^GwSYQhV~P4EMXHkuBi{iau{
z1RDR>*xd&dr9K-1$4KuvV!{`RpYusQcE~p<&}O-uNdhAX<OHG#eiilXH@zv0C~(Nl
zEjm%9IZ5>RBk_6J8wmT(bBwrNty1pyOb*4G7=Ni2!q3HAl%KG}g+}q`I$6S6@CF2q
zL8p>Jh?))vh|b)J(U8!fM-s=}MOp;#)Z-9k#`4za%8I(We*u&;J>p8++srLE*~587
zsiGY>{igW1O2LHKl{+y4@k|pBdrX9&J+asLS58?7?HynK$mQ2#?QlZF*=J48E5l$#
zi?w2kd1s@?oh|`5ik3%cws_n|DrW(4DD{-jU87H0uf^}|w!*ty=18^PO9&|tlqsNh
zU$$2p^NW)3@CMe`sI#DWjB@|P8N=vKxsR~(`tts|8ad&mPguI#ms3I*)caL*A3pr9
zRcvX-esbxuH0pP$DY@y>gxYA((g6kDve->ma-3>t=q*!%$RmP)YAy@fD{cjNV?Xt&
z330kX(Bm^VfO{%Dh4SstlFH2h<4@dtI@5ttB10V6KL1zlS2I8j>3NnLzoiHDd&JAi
znSo>S7Pdc<=u1p>wXwDSEN@zt!R@`K&(qWGkB09WMsw)_=&DXrZsX}kn8~<QZ0`{1
zeBuAZP1_=ZgWgUN?Uhr<fItfq4zx6`>eNGVE)5WrVXg(<Z!B+JD;#wN2JyYBs2PCy
zi*@vn#}E(iVo~p*zXe)xl#Cuf;dcR-{kVg&>Yp8_Lj(tS_L;cK9(Zop)Z(acJohhu
z9eMM<G|LaHr$wsJUiw9w<;78gjw(Y7i-nDrA)bxs9Z6s=)MbSb&*t~Lx#atLs_ZaL
z2S9`-j7G^f6y5@i<((|<yR~6+bx8S0-EfjmWchPmQ<a|6VJ`YM&+kyn$d3;vQ9im>
zWkQ`E3LT9Q4&-S>{b@siPKuZ$el7YBPPr{5B3{Je!Pu2V4uZI2sC9|RU!?3c`6JT=
zh;OnZVR5=#{H-*xqPw2Mq|>q+?fV}z&KcDz@Oa)_BxM@3tn7NEPd6DsskKu@|C#;#
z2fZ(0O-}9eVO(wXzH)P}^j@~M)}(fW`TWR+g<`%xozojt*oR!t`Scf}RFiF%ifyBV
z$#Yip^?N=PTCswOXSNPg8Vf1(l^Sxl0Of92rf;sw6t8fn@|{I@QiABGB%vr<EGyso
z2ar<#6epKHrCy%sAoqtVGhb@sSZx032FP!awZcfYY~UK}WW&7KqoU2zr_4MFg5{Mr
z4A%V!x<%lFp%yqKkJ1C2CK9JVCNF!yxM4Yc7ZO2F5pwe7n=1zg9SJ;j`7uu2E0_am
z!&|iJs0<IH*W6p!txq?172f-My4;)j1@Nh2B-QD<PV96Y-#6|@;GWYi;f(E5@AJ@a
z9P3M?2cX^Y;0KPGeBpl{vRMqo=d{(RRv9RzW|S3xyUcdJ3Y>i@XO_#V9Cao`X?Ky+
z0m|k8VI;$eS-GuzEkmdhEWxvZ)v8e8L`rDX^y8d}n2hVLo?2OYjN7fS$jnloHLR$g
z7`uhIq}<DHAJMjNfvzeob-if&gP6Zi!CFQKP~PY60P;3Lh<Ns^_hz}Ai2geVJ~-!4
zlW7e-Tps<eMhnCI;1Ozm$!1F-(D~|Yys`|0T?pzD5j=ESBKgjlg=<&g=5aDTu%g$n
zWHvWpbhlr3^vABE$$eSjfOGa0cbt%TeYPe9t6!r=UXsGdDgY2=YswTHambi{p>i*T
zKW@al-byGflp{{&Gu+Lp?*K}}AAmDU{llxE$9%UILs9o5PFvZkWuF-#48bo&B0DQH
z(~nqP^>6-6k=(}hbX#c5ZqdG+)KPq%7Uz^KHEC5Qd^ty%?<sE|e!RGR*-#`+$IS{?
z!n>M-j|cUXbN5-v2+k!kp6~OFjS(edW*-oh<*Unn<|X{8=c*TaOA`bipF2Gt@F$ou
zGWgbO6vEkAHo(A&8qrYSCV<xz(3q3<b#O#z9KfM?d|}efN^IODWj&1o&cPw%9K3!X
zgtg-g6TFO{*vV#^M~*Lie70%lOuWYN{<_Es?J;OoBIu~)q5^5f{F7*`exL6~-$4|+
zOhpw9Hfo3$b8Dwc0yzS6f9!@=WGX<v<Cp5p<A-{o!A6cOBdsue!3%W^FxWjOE9n0`
zXE`8`Iol+m@+J7pE#VmSj?iZ)_Bw9LhN-(NC{N4{G_Qm91`swYRp<$fJexVe0(}9U
z;~57=(v`4mA8A}2kPKPui#8kVjq#?04`39|ynL9@Mnlo&za!r$2q0<-ta2H8^|`-+
zi8LGg_&6EmjYC8Nm~C8aWp3`@{NA;F&4!;jy<5KOm?L2lxN@?`e3N@M6jbT<JCpYG
zNU-r!t5gA-ldR^*8S`1oM|S0hh5?C56hssvXt?99>Us-AXF5M>#-#h53ev4OgKCey
zI95@9m&M{m+YV+9w~K{}2%k1Wc{2Pi>+bld$ep3LbVe=Bd`2I3)cFSq994tP16Pc$
z%GAp*VQHcIG?dOUUc$ZB$+c&vJV=l4&pn55&!|ah5@#G?Fkl3?!Z^}-?euFBaR+c#
zeNm4ba{bq1;Hp(nZKU1U@Pn`@r@D6|Hf5k{Z3s^JF6K>OToj&)32XbIBN-xzLMOUz
zmNhqOO|;%6Yjackttl+;eukzO#XoC1TKNU-w=^;QhxFr|(f*MXT3EUXDR+lA?=NSy
z;HR%GenJ*w=@3b}-3N$ios`4j@>IwPib<{BYG|(Q3ZFaO`%#F~HTnrBlEv>irZN;S
zLS4_B>>k82w=)+6=fT1YV#QpmX(bV9Cb5Oh*x2?0jF(0)#-tMmurdi7L8pN#!;r#v
z%pqL<-VQt}1^wE7t}O>B)f`7FMfDvU5WA?n8%v#GYJ}j9RO#ghjE3k7xne3w&83{J
z0zg>T$Q75K!fD}XZ)=4a+EUe(Om3K2g>9aWZ0H^Qj$d~{DS_xCj@*alo;2-z4k_R+
zN}0qNlI{je1<6>?XZYBZxW*<qX0o*;?fkj#lT}~Q^1t0oJm_$s{~p|yJn&oLn8G)E
zhru&;yC=m~3r6Ogf*Z4EpF04GM%VI_+S7Lo9sSj$Kpm_e=3(U?5M(@JD??pn<p=}2
zDvYsmloqm1t70{IDpmS(_wfMwCloF%I<q!~>t4a?#2daHW#WCsbdD1z8tOz2nT?pb
zbf_gC==9d?GrzqA^V{n<mCmNt&f@@9f5tSMh%>$7)9Pd1)6{Gzq}2>kIQ3wQ$Ste&
zqBh<svorS)U(|rqr8QXdS=;bT-E5VJo*<-c^aLK(4MQGH@>(F}l5uH*Q#V3tIy}3W
z^QWWz&g!r-iKphC-%X*v)LGmp<o8VISFH5n`kexQ%nI9kp@Rn@%a)14#!(84Tzp#l
z^q^jwYrQl}^cte5x;s(cKbU+Ku!Kq=U~t=tr1OiU>=L{v=UEK361`kAA?CgLk<2zl
zZNnEImbfI4Zl@AtR=v-UlX?j-R$XU-k4Eq`-L{Cgs8;c;LuQ}o;Wq+f+aQ;0=hNd3
zp2D3Ux)<4J7cDk<Op6=k^D)<sxLc|s3{Tyd{_pSh(j^7+zkDu|5Mo}fVIq|xa@<_4
zkKe+Nl#OT5jD3jD^}gv<EC@_BPED_iZycJoM(KYEz2Cb)HRX84ng9XYLk3%9<DMyc
z$me;-Q3_XvQxZPoV{m`GztPm4+)S3mug#`|Dj4xoWTUe+^_px($AfoUz(jp^2&$V@
zz9u~frno_()j6(ZrqA)aMSjOJzomq>>2MTkikFeR1=^9vM=?dc6iYamqEU=?gt5c3
z=mKWFi^OZ|HuwEcxTQWl4`D{hKixQqRA8_y*??>M#ZNFDRv@ygDP}!#?&3{ByYuFh
z;P&rHhcmkf#PxCc*e{<#h6n?u5TNgYV2PYn0_rTJBqx|n4~Gc}<B2VEeCb&@6xtDy
zeuvOI5StP}6YVAC6o2t%WQyNxi0;9trr^?&!(pGY1l)9g)agMGC(I*<X5=C-o5TyH
z;T3A+BYOBscTBQh;(L9))>D~uqns}Y`_#PSPXqT2<pmQ{aJxw)KTYwi*G~679R*c#
z*NS?Ow;Nn^pdlYckXEAZUY@x!$*W$f!mYPh>80u|=1q7qDY_ls;tI3uI{IqofQI|S
zZcs+)T+fR}p4*gwjsdH!1QZ&UR8|tztT2~8x2V-FM&BZ_EzrXzS9GdM!_CfKgm^5A
zQ^^YBHWFODqhv~pwmL`L5_7gzbz5tmJ{k;GGEFpy!1gO@BsDZ5SAZ`}6a5^qI!uPR
zVQ&>?;nAo5A_eJkozBCO*WM=gPPHUL`t@AS)&jVPO#{7o!JM4@hAO(%%?|Nvw-T?U
z=*8h=<gM)mn&IvAB{wJ%D?mP$r!rK7YcQ!Tw`Eds^;N#lN1lGyRCxv}`^7bB8WKT7
zHU=`+6TQMb->R(kq~-}JFq@^vDfzODp)`KNYHs3y-}|MF!y6hktuLV>+t>L^;W#yE
zEnwu#2kcyRY*#J;o+wrGm*uMEX?umR<p?N>*c(e^_T<g(3cl_{QIew&a8dpquZLLs
zI*P^F#*9${Yz-%V#oPB=Qf)K?om4pFx}5-$UMSF1c|#}`<%)5GPxE#FyG^ny(CuxE
z;FNn3yXWQpIg@2~Eg#6M%s&@0%k>)<JQBJeXToA3s)|Q9@~Fb-8us`R4u;ZX2B6SH
zkVpsfc)#Akz7oJRmNb5i!b5|K=es};jd&ghmNyH^h6Nf?or=wR-KbDr)Ma?I;cGv4
zl>WoaTBm?YgE1%ao&r=tf+u0mv-H;YJtxCe$U<yO|IGqmLPvYet_r_RLh^>=r1x>(
zLbNA{=wpr;hLuVL(FRw^^YYI=ti{HsDw4g2vE#G#1{znm!p9+BbFg`IWcdjO#WrdY
z_(hdz8OXesfz76fct;t!*^D6-o!85!1^*)a4C5j#@;-+-Q)%g^E`lRPiUSWt<FN&e
z(V(+^dx1iyy-==saiVeIZnTa*#tMPbk0~9btI>!Yn8fUqI5JcHU1Q}scB73P?_C}N
z$#hOZwy9`er|x0DIN#UA8|-J|oZp$HPqF;yY<2Sz6!p5FjZe(55*_)MZORytQ%)(>
zbgm4KUS)^Ak`tZ3OZ@=4bo?czUn*L)<ooCckZrk#bP++2ZK0Mgv;48DQk?b}+AZJk
z3w>(vF!!`a6O+Zb?l>XdT3Z~}>P57BZ)R+dNp{T-lVg|SdNvnh(u69rRHem6^d;AO
zausDLQg?~R+8I997dBN6T)?`I!1gv!vpKKl6e@});A)ISL)G5lx7D-M+0ZU^V@nKv
zz1Ek+fo^%D(AJSpvu=i(^8KdNZBZObjhS9mJRnA=**E0aP-vt%w?M|b!**9}gN%Ms
z&We~dw{Cw`+R||;XH{OBl)|?ep`*{}<=E5?QBHsW#Wqm>2$5L9I$e97O&HAJFoqgH
zQ03@rcovlJ8HmGCia_H^+M936g&Uk^;`VV%`OIotzH736Kj6@;%H9|f+#Z*dR><xp
zd5O37Fe?#i@_b*VS;a3m{_z#Fly8GFPAQYAF?c&Zjuwq?#rK{k-@P@avP|*jCR2Z4
zM(8oU5;cF&Nsf@ItvtA)ZK>#MqI)Ms3va|{JJH-fYKpSQqrE9aIloZ+o^KJ$DrTm(
zC8<2n7=ICX)#gz4*lv7?>*hO|l_k29u2suQu=8#Qah--lz|4F=FEEh&DXSY<xX9>z
z8;Fw_VUSkzS8Hlusg$w(jvo}49g*toyiW^6h4gG*nJWlu7n8!q-sYn(MS0cGVEg$E
zgy=iSQ3xq_UY{JJuGLbLZj&z$;5ZU-tMu(O)`?(e?b)^-NMj00twSr?t`_M&VB_}Y
zuGOVrzemMPC{=St`>{5ou*c={CYc?-h5d3#+*fK6NR~)!N4zNi%!FDVY+O@g+w^bA
zW3npP?XTi+_ZYpj%KgYrX)rBE!1Io-&yb7farr!zELHufS0UoXj)ie@k8s!%e-v)v
zO%P~<(W*7?`${%qf0F1&VVRvi-9IVx8YZVS>YaAzTt98P?ozS%A-{$0vNHyp0zFSH
zBIo)k2`t=LvF5em%?2^N9eeb2anKa3A##e4gMRh~I!yTf*~r_uOw{ij4yRs>Zk$+^
zhW2gv8oKxbS0C*$yAVe%hs!#puCSuR>7)?9pRPa)yhJR2`N#X@A=evok>0{SXIdMC
zAEK~<-kXdDt55d#=$T<Z>l{wtC0llcr`S<;AHywl!2ifc=>2_r5;C(ozI30|Rjy=n
z%sp$%^H2J&ZPPS$#QRX+tCKP)O8$xO$l;)+zWz$1XpmHX!~fg8ROF60$+71yYiB#p
zn2!PO!pD8)&+waFe$rj!#&{Z3%FRvgT3v&OlGQr6W2%p@eVqutg)~Sy=L9*lV0{f;
z>w6n^6`Q)lo0zE@G^e@e-x(P=V7;Iknl5dS<3)h;RwCWW`jh|Zx44jGlx;T0FtoU!
zL=xq%Wp~tmIInjx;lnBldSuZfDL#@*$6<dTp4h2-C!kX-GG^-0FEPvuKk5z!q0m}I
zOed$rMjcBmIIzQ+fA{*<$8<eJ?(85+F^FN#4%^Sky-aM#uV=(Bag3-hBFDOytw}Gn
z%MLpg`6%~Lcdj(fWEaSc)t*gWO}?yV_zq!`?fLk7OLLDy2OGAh-`gkD%0jyOrpI~y
zqcMY$6Zt}D9M52+*uI^N4F?=+o@KuXe(g(bp9cfA8`>Zb{Scm%{8~4<ex|o`G!3nT
zM96IEClTBT(eQJ}o={$Hx4sl^JAF19;TqGnkZ*E^y~mir%TmJz@6Hz}F2517du@C@
ziEAKkCr*1!ru;{Qb*ZgvC}%O)%iCo1Wy$Xri3SNot}v*l&Vit<r-h{gQGA(WpQ5H~
zK~sdQ`?tMWn7a2qVNZT1gHIz(JHbkXaVw$v6fx+A+AvrI;jn8-Fy6^c*ZIe+Pp7O;
z7Y0wbo$zbCT~DqLns;pV8U6d`)vlk~R3#d^Jq*7EX4o;lEscMweEq0%kJn>uIxhM!
zEeePW20hx|u6?r)fA%W95jFNorcYH~mtC0Q7bWvKeunM5`LOD%Ej^3l{j}a4;6BA%
zc4Hc0YaRSHUx{Q1ROgyNWs}lMwv?RX<UNOmmC6MX4smyso!!Ozc#4E#4P`UohFlnA
z*U9mE6cstU8S>~>GTXDjxs+DZGm5FUSYIEcbebUFjpMF7w#meR+W;N=6SI{Qc48`O
zm`vv!w8k>&Er*SpS(~vB8Zu`U{-pZxHVFcFE@;r{U8@&nLv3r}<;iCwk9lG{HAB3S
ze8yM1eCKa27JaHN$^7uhy9@$lN@M#O9?K&BE^YdCUQDM~lbhY**>5Cf4))P#U)Y5&
zP(DBEzDqv;#biH3eGzuTE&Dr}Cbh)515+sdRHa)6rEp{lRvbCY$;x{p{%v0Z!}g7P
zykn+8YDF%C9OE{BQ{LI)V_|8Lfk34#?c@83rRO}iLw2Qw-`*luf4<Eh-{a9F<w{t4
zp=gDTC6<({$d85iVnh`0`Fcqor#y`ZK{cTT&IKwC1HKe7qqoC-0d~~Rl1t|&iT8|%
zb<n^uekmkbNapv0;`n}QyYu$$>8Cc2RRk;*88l)Y8?@=(*AwjdxEJWms}sHAdETw)
z@&bZC5XZHy4G&}qeueEwtp)yUTv3W-&ekCaERYd{c?PVdP?gt#9>@cOTsL@`H`%XY
z-e~ZAmWFyQ={&H4peOx3*IWYeEF>v;{7~|zh>eMKcn-{yJ*CsjS2OHHF1bBT`Pc&C
zby*;h{2faf%5^`_b?rYd7Jxuz98)<kGtp(K`IuwpfDjiVULelAmFww%zpc3L^}?Q6
z_}y#Z^_u{r!sFefsPOM6LE(TYTJnNs3&P!$CE#Vn1?gOD#H}9(Nd4q(@vx0M%lB+X
z@lKLz=p0C?jL?WE1Rx9Hn^SKBN#XwU0sKTT#Wo$y?GA@gsdeQnR=Fb0y6R^dBY_Q5
z0ht}*i>8dSe;ykA1_2jrOGdjMvhOx)x~M7D*fI;R-3517rEt5~NObi}=6TD7%<1Q&
zLfq=$(~^O&;+c_P{J*~)Eyjvy?|6}rr0;$?Z=tkgq#C90bf@`5?1Cn+lTE^?^9t0D
z#9&^!uB2xG!wFev$fxWwB)11Gc;(vlq2u3-t3HAXO1V66V1|@lFaG<V#9m{&feI0c
z&%Fc2u}n*z7N0x#nn=JCTx464{=3#<Fc&mcpd%Kf=gBW*Q`4P4h=X?!BL!K$JE&0_
ztQ{N}qVzdcH5+bEZKTM4$opH0!azh3V4PU`mel|H8|mbe|L<>b!T_~#+d;!3QXECl
zy?8+*<o(~%uCPqh*VYt(m<?)Msct5nHo}fM%31E)3!MHofZ6~-CQU&kiLeJCYna*S
zcX-`^?t;2m4IP{6K0Gr<<rdSySUL|dd`Z7S@k0J%yk4E9%FH|foA3hd?cT*ptrqWx
zTOiqf9lZ@SBzlPASqiyNkU2i7oF^?;O5;G1pbuCmDAl_KX|`?El?!+GO#<z!V1_09
zWe0;YS<pSm*tA3+fiy3fA0bHge}FaPMs%itj@0)uAH3&B-mdH32=VEEHj;HzZWzvU
z9?=CEt`LBXKlSnc`UH~49sbAx5<j5B{|iOkG$3#;gP}&{$_Js074O>I984j@wOHbR
zIEHn%0lrD@7MMoq2deEeQzfz)K>bpt*V-T(Ku5@K+<Uy*gFLJM>Edlc8$j*LX9y(Z
zg4XFh2)<>8f3GMHg0m5SkZlA42;E}TH*oq~)}R1Vj5~D>D7fJ|G-Ky#Dw%FTVE+DI
zOF{~tiY4j@=u0A(MNUGLteZCz-Ny^4l_{Z@lTPwf8aQsI3zfDD3#^M%AYW7o$i`@H
zn-s$eWOR|oSu_Mgd4t^E$J-vuyc^B={w+|$j11`jo%ej9a<qDRY?N;tm)qR)M+dd4
z3||ddsLji+#)peI7;8>IdydmcB@q_%f^k$1U}owM<Jpt%q)MAJ(Y+vK9Zo))$dPcT
zuL2w8$CT2tgscG=OO)SHL-z~FUeLgd1eH8#hqO3Wgr76BK*|1bGeNUpaW6#a)1KOT
ze?+PNcU8o5Kd3vszNj9cAab+96_!l(l2sCYI2UpLfDJi3NQRxy!1m^bk$jcKy$)K1
zE#8)L9fOSZ`;)n6qPstcS0S^oe4_BmB;_fB07D4>zA+$I+cw6YUd(l_$_SxbTRWlr
zOVke7P|P~<7Gs&hf}Nw&ptJP@f??YaNbT(`S4aWFCF|{n(2jn0usI(u_iM+;JS#Lk
zKpPnl@=Oc<zEKnyfnzIa-N$H8MN5PXGMF3(qkegfy8UZDrPBN9W3Dixyh7z#<sQX+
zP2{lbzAfc61sMu#U?N*w3+&}pi4LUVh~?`GGgs*cZl-6@fMMe^!QUw2BB!SNO;RL_
z+eA$L75a2T6Nex8h00s$GP+VQCZLdOsnIdXE@34~VK2<^7i2;f((&_YNX_$mq)oZY
zuJBlq2i#+-#SoKc0pa3eZvV+MO}nWeRg%}*OnPBZhqD-E*X@8hlQ-D9e8B=|U%8{z
z%mnRy3GgxnbPE71b4uqiwbARzxOZF;!E0tF$gT#tP^e)Ze-ugfdm+9td<NZCDM^;+
zZ=iR>Q2IGb>vSZr2Kr6J3wHCVYZ+iD%ziSudXqqPJzL%!h@rg8_GV}76AcO}d%-d%
z0Qxw@74vn{OB09&tn(6_$wFIVYXw4Vc=AH?2g)u`D{;OYf}v)ZIT=S=kO`w$xhZM>
z9ewp_+Z$GaklB@5vqULw<>>qy(dtG6(d6`cp2nc_T^Ps+PPCua@H>MwnrgJXiFUah
zY#Hg{n}`7gSv{L$^4Davg$L+VkQR6fAJ`N64$+19W=*&;_BNKD>%1NV*qm;36YJz8
zR)?eQCY~f;SOI?!>r0T-O~;E7BUI69xU$wWL<^u;;WNwlcFM{neWFO5)8pT##<>KO
z=vG;0K7(}IYcxSokis4qc!tJD_O=v9D}%urB--fpgik>A`^)hFj&g>k_vs)lWNz5N
ztNFEeV{(+EL~*~Z#t*~1W{#xr^>A>P9}Zn9nPj$u;&VA28X@AcYEoQAyU7TZ&f}1E
zt~$EUFDhBnOlp7QhPj-%46Aot=vgNJwyhbY$)`w(RyoC7E~cSV6?h)8C`&#u*CUky
z*?8Pui;K&F+swZTB=ZBl7k@@XJWqtGG@Q$cAYJafN$aHlBr1irxLzGa+-bqkzOi=@
z`~$KEp<oU2NE+i3fSaHU4+Br^jG;)7i!tBCN3Z%Z@pgXP8?XILlYVk|IFY%O;~kx_
zzX4X)eY;LOV*6@%`IJQt0=&vpX+W;?@S%noZ<F{L31AczYabwfEb=~|e4Xc=s%_=8
z)V*Jxu<cZXteN>GdTYoDX%|cdO2L>AH(x3k<KLlkl`VW0TBIQZRfv}5wgy!Dh9&kx
zF%roFVeNyv)j=~${=gJ<$)(HQ#l5EWI$->C_JOo7^?!OMw{M^xB<wj(S^%ypYc7~u
zU74hPsc~J#kzAIF?NE8YCjnA~Btz+2Olhl$IlKK+$>|Y#bg=IA+@`ipzlH6YKK0kU
zSkM}n=ou0hoG+8Fm#t>k3}ybhy1T&mIz{VT=Ld7T2OIf6Hr|pOcs3fI6bqDoc+_1}
zzi+~_tVUoA6N%2Ef<NFxHEuQf>G`O1&h?9{>Bjrh$Bx0V<%IN3P(&kLV&4#vy!omL
zJ5LkE5~;S~JY(^|cG87;n+z{C{dL7r2q2ZTf<3{+#RNT&4b>DcL*}uUv*t;Z6#0}m
z3ldvxPVa-q!lSpY!@X#_-&WCbTgm56iT~O7+#f!7&p#h`H^;xvyO~7uE+~aAAu;yL
zRc5Jm%wIbJtYjiJ&_K+;&NITY#D%f;a@p+BL^<!*v}%ykWZoq0sov$%5v#pPgeRls
zV~#bHTZOQkd(mYHnulc<>J}1z6=LK=NDjsIfPkhnIkJJBbO&nELY2`Uv1qV=+i71X
zA+M-@=a4gPW&tp+&(HhEWkmF<HP}e0r|1qKZJ<*-JvASE>CGHiU+R)`Xf59NkUmyT
zj6>KTj(oHs8R=)avikFFXjW)SL&UYkT<vgVv>%scrD9gZ3aE@34~*+ACv#_zh||z?
zC^+k>GunEK9W$@NK(OTBi3+Vx%34h35Wz~c7$Y!>ji=L-JcwLbP%OV`NMOQIIt(x2
zf)x4BS?}z)NrUmke2J^(4zGW9KDta?13XfchI}_`Ltt+3Ln2>MT=pgjZ^^3<)$DJL
z!-UMG*s)^Lb)ht4b;8HA4Y=%8Jz)Pp?yKS+21I|?igsk~d6njDJ7nD8Z!8=B$B`op
zkE>wrUgbozj<Y9L7gGg9^d<MF%8gH<JQhj>cmynM$K7rc4zq7HKY<;qxO}Y(RZIIq
zsk{vBd#v*mZeF^5H=-5GK562|Ifg%mto8Fm|9F>Te=z2nT;wOQfV&8X$ffe|Ji@Fr
zaaridylsLRp)gLN8&SxlKb*{WV$*a*@=HeboAC_6E1>bi-1{@cSV^VMmyk#k%&2H_
zpd5N^!de6&55a0vvO)+?GgQRpX^yHe%t55d87ZoYdRY6jON-v8dNFbPWz}(1OvR)N
zv6eQUd(O6+WfH`*-FLg5&rF7r#Ku$88axZv7(dy{JAO{y=UE%V#mapg=TwdFeEKq|
zRMgH41hkM~Wa1W5kADiUQ-)EXWczRlr|?qnB>}2D%Ev^b8fpZ4D%Nk~aB9(&zz}1n
zG}*7KQ=MboN#U1lHa6iouobL-ewQ4Y+s_$datW!Ja=$<xw{MAnwZP0L;yQ-7DE6K-
zn)VC_N}u8S_Yp?x0g$cG+a4`0j&$**R5NI@Tq=HhA=wd0$SWuq@d+?AEbI=JY|>a;
z%c*={1WX*(u?QSBRF&~2Ee-MrjSLQk`y{g+Im^L%a!6m<QJ6z~Z(rEwn9vg0@RL1L
z>WEzNP^;fjb*>iIds`w>jxyf~e|~QofKh?3YyXO6@LdBTd3}1^Ie`89x1LtC9vW-0
zE;Plur{COwGHrbFd&NU)ywvrNdFI}+_VaKc|G#Iyp*mwh%z<Wsru^+GL`11)b%e_P
z3e28*qp$Fll0(oI@#FzaTo`QGEQ*>l31Cy{brYn7f6Y=z5!27Mg_Qz?qjbXX$+=$4
z&XutCBv109*X9yUYoZqICoe40F%6v--U^Laa|Vh<be%fib5v5Tl}pO|jRU_RF(ZB2
zhRQgo_RSaKC!yS=RJOs!pW+1ggdQLc`x{q$g7NUxd3s@$1Dh)0JKH(>qN%%RKjdvr
z?|uPhmz<WpU%{u6=vEo6ocTGf(w2msan5m}xP)qmAAG($EytLI+hr+!nLRe%EQKCa
zmQTlmLyv5XSgN>(zsT3V3*3S*73Ji3)s)3WkU9j~RB39+P)L91!hq5I%lOe(>Y`x!
zs7kzYe7RPt%mD8wWfs8}sGW=4R67)^5lY<<t}~DrGSq(2<oZ@jVn?yIzc~=DMD?kn
zh%$~Bf!x-id74MJqs@$rMcB$@nXp&RuZ?&5@1_K?H$)ruVDU8o%M#5`Q<KGJtP5A#
z<%K;Qo5GkP+IZD7)(=?fMe{fTVLIHKnvDcMH-Yp!W5!BdIx2!#u)$hl5Bn9dF}f&c
z=F}V^(!tPkZ6I~z-%HAfR?|V#za4ljA}+=)r=zySy|v2Jz7Z?um=ifC_eW3dYzo#^
zpXjGUwIzSKM8A(56esz2ANnO>`l%_!i31rO)uG$>)?sJ)xg0}6{+4@LRs|8oNW?Xa
z1Ww~hC#W>;id?S<wi*2?<6h+WX*rCNEXc&E_0}q~VnTZU^=}%H@&5h#@W8H3lUjD5
zp4fxc9(`5@W&6zzg&}OT!m;N#12P#oXNkfwdCr6(+xu*1zD;J{*{FE$8$79QgSKfd
zE`WuaZoEiMB%-1?9Fjf74Immqz1kJI+m9QQXaVZkQ}Sa5QZQ+io<)FF)~c602y3<Q
z69}mAQvgd)f`Qu4bTi#ZdXRItpb~iFb#DpK-p32gLOl4~GKu<JA$DA;R9O4@^)Rb|
zL@<5UCq3%(aepUjRt=-~3A59l<F}M>Ly_IDaXbFFzkcdEDeTrV{>dMQ=Vtz|&8Yy{
zoM+9J39zY3zCCVfc9Q0=O6TKJe&ooc2Msh#4dw}D`8?hXpi9XTswBa9G?$ZT--}%(
zc$f#+N8K^6{!}no9W#4YE<3ikWH%_Sk&lIM6f(9!v_6$<iiJp#4;dL+EAbX9DELy<
z?mgG5j)H(DciI?G%x!i0&6Ihzu|VA|WL)d#D{mH5?q3lL)&FPgcEc+^db-(3Q1pS|
zo9^a-K|CAUW!<`~^RT;m{$184Won{W55h6_HyLYKkKPyS`RlPt^e$85idMu<z*t98
zWW)c*JtKvo6F~c_Ajp6j6kZxPu(*@a$qlKsa5OHwXEZj8sib51s=n}wK~hgk?U(^F
z?z0$y{@pwC^iT%s=z2H7`Ol0D*(PVTKBpR%Z;Z?5jTxSX33hdqUEMqobIqHrI|6yi
z`%v>yF{s$H+@I(p282LEKSnh?k-gZfk@W<#YKM}+n!TmwA!EZCzEcr-V|M$JluqS0
zDKTQ%H5Ry5$$-QW@v2(r=bR84-c`Zo5S@LAO7n!$5)7?-;o#~##8oe*L2<bLzWg%*
z?Y&}x0z`@fT8n#Ma<**3-(Y85ORjz(@*Frx3pGStj=}Y=`(qnU46ON=&tf-Ei>OG`
z+^T=?-&Ap^6jy+=?M3S`>H;&;{nJjCoW>&pIuI1kjmoObI13jdAOp7%n?^V3U~q3V
zJ<(?*bI1vAYLlz<+lu!y1D=8wXAl`(V&)y#@xv{!%hZS5yFnl)c}jZ*f9~3GmN6&E
zFgu7{&4oXidB4o0$>MJx<SQ9)8o9!mbtC^i64hEKV{7>LAuI`gZcH3?oopq+n{{=i
z2OO+67&0$H1K!qmn89NPPi^IIT=>TDF~_ofBW5RqjUsggz`0b*h|dPs)vc)jD}r9H
zQ;D583@S}mDerRkF;d_WKQfEkueg_Difx5?XxwKM;EMWxb8xrfP*S~)^Y@loi6M?8
ztTl0YQSYF_*FZ<FNc?3|i3183f%p27oQ#A<*N+<C24{r$jqf6t?79;;IeLJOn!ab>
zVBbNDcS9%dZx(7Q-9y=pXil?1a1u^LUBveosF)Eg=2OFs|C;&$039^-T;4kJQ3|TW
zS|_J#_CF(PY<}N&q&;Vu`m3{~^Z|k-bJ4NVtg2#0^<S`{t#TG%j|$<;Ey5lT%PY*4
z_~E!t#5hraTbhbUA0^<WT6pWRuRiS$ODN%Mz~@DKbMVdHVNIJbiPwRC&tG6hUWx|n
zdqtXTsKbrIqa|vPQ9BQSTA=5a2&|Uoa*S4@d-pgoBJ58m0ZSW-vzbnmY!&h0{L7b^
zx2^O=d>jx!YK_Psm-B^Wk->8_lf5M$9pz4Eace5u_iYkZ5@iEaq&KgdSW8%8*=ofO
zYDMu{c;gv3yI*9oicpadbbhFbfU?@7-L@}dM2mQUD7D^F`YlKHwYbw5%@!#?+FJ-T
zrBYV$Gt4-SU<DyQf%MK0C8XcRXKgAE{?fhwWjaibgRuz#E?uA5r>BRjT5CQZI)4kF
z<1eI4d_{ST2-w5KBdd5RURwqU@mAt67t~!P(97>m@<y+se^V7ZO`X(^D}CswA$to6
zG@NNbLefIS)dF(IWk<nAa~%QfSIk@gqugLf%Tb*cPEDe4BJxA-yzJFG1|kH>4JVem
z9q0fpLKNMd=0qLc%3auB;-AX;+~tbcWYc6;JIuc^f9C8?$m4KPZu82uVh`aW<h%GH
zBFVW854VcAJ&_muEb2X9!EtDzhzT^?OXE!z=l2}9p37&MGfuJ?IT=Bzg<kg~4(fJ8
z^a^AP^LdQ;PfX%8%Yv1IjL&t~+(Ia^qqr!I5g8Ma744Q`(m^=4t6SQJJ=F$7XPrlk
zd+G`uK(j2Htq*&Bvne$T;$g`k`glquwY}D4kI4p7kPi1leWJAcGROx99$5;(TGZn%
zqyJF-{YY44`^@`7#soqu#VA+|f45KbFsb!5G7lQ>`)J<f!w`Ho(a%z|nD3%-m(((o
zO=ij4aJfx1FQgMH<>ORyq9V%6^K=-&6Q`K0cw>x*x~71H8MYx&>ZB6y@dmNizQQ}l
zZ!><1`B1B^QiZeFz^kxVJuW2Z9x{t(&IqP+cLOv;h24WiSZNq~%2v9$wnFYN%#9cG
zni7i4p};<f$ZI8gmi_I8Vv@dx)sAVZA)*T)f|iGEy~-Z{eNo{W@P+pxi+0YHP&Pl6
z-^U>OCoi+#E!GNc66uszgxH>_cg1u$;{TNadqCV5-Sz!H?R{lbRbA9Bap(r6K^loe
zNQyK_w;)JJ3nC3FB6W}u5Rh&OMN+z@OS&YL1__ankd|+4+xNZS829HLcf9^`FwWk4
z<y>>k`8?08t5_51D037$+>XMYMTwGf?<SrRX04Dv{#=-mw#6Z*%0&8*<@{)3M!v>y
z>(P9X<yo$%Z_S&p5Az#|#4$~xdAu>6Z#2&s<eVQFnC?(cBoyy89*MDu?8i5dB?C0Q
zq%^Z0{7w5|4Ezv+&$|Iden`{KoQj(`TY?LsR>i#aIY4r;V(8+5QN(k-NOr;=thyo3
zEbOk>qs1bB^4ui4t(<FF&iPI^E_YD_SvhTfo;|18z<yE`w}Xj;L@Pub`JE_aOOmn=
z<<hq8%4q1#Qg~4%F}=}^l7yh=jzPQiYyq=*<RQ}-X0pcsmXFQ`qWyH9j)`zYEDJzo
zR*pUvFG^c;4R!@E5m%+86+#qiiP{u5B~3Hf#>?IW?6>l$rFTh1g7Y-AtHi)<4CnKZ
zKeoTYbv8x;nLx5&_Nfw6+X<h=p`#PK&<#soyQV8$X<}Ux*J&Vyajtc~e&lyh3D27s
z(h#U7rfJ#~L{xV?agxmEYOl5upCsGFvc#jr&hFyxDWg3@2}u}iJb20xs<(n+mTxNO
zFq^o<wlj%yzBZ=Ohj{jVcSsWOTj3Y{lXqYB?WltAUkViT?^K_uRyHxg5<O{d(G}ZH
zLeR8KW1u4REAE)l3Shtbs9(TIfa2P{v@b!D)Ga5!->^I^lWAF*BhBPv7|W+sL28yM
zeslM-u4y!TrEq_Bu6B_E3aYA)q$jCiYp2B%|6OLQG>md@5Vsp3S`lGrR{nm^`ksq;
zl!%0k>35pN_LPNnDiOMW5rXTN7s;<I1W1k{kk(EZ=O6VeJ?t)T5lwjn?q~!k_2g?9
zqDkQF)xlDk0NN#A&UWL8%(M3<^ZKU`dyM+I9=x={!GY{ExEY+sn!L10+7(;izBdwM
zbQW8nPk9zXamAVQ>>?$f*{9*tmt1;9K1LH9U(BFb=mcm&%IQf;9Sl9P@$npE1y#M#
zldUhW?kAOe;EEG<>#Ws%M%}@?Zt$%q?}8fvyt^W?Y9!+WH&32H>PO<nLx1$8*nX=L
zvi#>+Vf8z0S6<>J2|7)_s4ck-wTDmx=~w`C_M`f2j_%Scy}J3(k-R0im(7PHj(bz?
zV=XVK#Q}&!zV0;p!F_h0HG)Z6s3&C<$bCIBN85#WZrZ*Pq}|+zzkNkzx#0cG6?7|Z
ztdqt?*JHoe(L9y>vbgdFi7J#5x8LEjn~uAIjGF^MgdXdB|74RtfqiR3gCTd_S7Ps+
zp796mqe%{8?r#UXXY{_t5ug3IO&xHcJk}Gfb5NWK6-*SiX9zQtwS`?i(;2bnRl&bX
z@+LDfVd@e&-ie7;Grul6t0W84z#JGjny+Y%N5s~Ih(qNiMjr~>PaRI!v*=Ry0l*(P
zN}))39@mn0KoX!Y`4V3*odrBqXA~*0YyBQkIJ2sypKHhJVaW0V-pl?HX^~JfaGkY&
z2m)CZ-mPjHC~zs0h0p*$nzgY)2dqc@-|xEmK}hM{rMLRALk0>q-|w_41U?RJT+(`o
zbH}H}Az5CWF?|)z&y(3Pn{W-EIjf8V@>}ug!TJ3Z15{QS&_G#`3wyZUJ9fR$C`B%%
zb|hM%VfQG64Y&Z`)*up!!ds3D^}aCVeuWvwAqICR%;nbxBOTZ}Dj>Tf1mhtZ-VNG}
zqhDE%eIUe`>oVgUI;9V?iPi+5*<akk`lM0dvOZJK)DyhAwspD--FMmh#Pk~mk38=u
z^4c92jIHCuil4P73h8%TSB-#@p@>@~@dC%b8r5t|6o^D_)QwVvYltp|H}~1oCaYfI
zE7JL^$-*BOEjC=v1R;~e2uzZRhs`@qV3LYH+*%04rx39puHxGlbD282+bUXm#z$Ic
zRQV-WzQE@8TLHCii<VNEE@uYd_s(aLe(3gDGs7vE%_5UHt@!L9^LhRth2M)IH(tf!
z-nQVFCEXR!EOazPD29IwCBUHJGN9~>KJ543?>*Wnktj5%v|pg7dhRvYSmo>OI!0jZ
z(R;8gwaX-+13uK)NQ}AH9Xa*FtFuYWU|%!tm43i{ri(21rQ;opl$NxEK*o)ljh2aY
zu<N>DyFcP#xYtombeuM(B&3h*OAiI9Ud=o<e>$3Pz^BLheCpeMm<I_!eZ-b$z0)3E
zKe@@fA3Q#6gCw{1vE&NFkuQMF@iwQoAn_L!51_&(?U@G>p;s@t46<XDp(2|-`;2<_
z;4oFEVSP&&vL<whBcjF&A=H@?ix*Ri(RO`uXNpqjy~Osh<*ZWSv9Kt`#I&`Gdmsz3
z0t1t(=GN5*0Hcttg7zdf@}hk!t^A@(_DldprR~U2((+VK+7#shXM0NNmXw8K3$7y_
za22Y--st_Xx$^Ttg|t%4)&~tR+BXHdLPC?sA?PfVBBQ9Kd;Iou!c;k>w2w+-B(tE@
z_Q$CE)4!jZgEjAWW7Scsw$5_4TE?{o7!(s_2yw28Uvy)rL@hqNzOek^G4RO4!S}=%
zN_@XB<8Kj18q8VOP!n?t)+u@^b7n`Hnhj4fTpCJY!KTCpH*u%Iy3KY{FlTfS7uAA5
z#pQ?fg#N@#=u0vKB43KQLQY)C1k@o2UM$uk4n)!cC$&Bb9^)*p0-nse<nLyRBC1`M
zr@hZk0cRVeG8dHZKx%vd;23-YMZuD6OB8RXC|w5L`}ve>?j7`jwaa3gIohv~4=+w{
z?U#Itos-5DGMQwTX+3Prc2bc(-R5q65W_+WY}um}9~8GD38{6EAo#XN)39J5f|CQ~
zb_q~70V#*|+4$Wr>Rv`}bN-M57F3A=Fz|P0&Q529rVk3uc4IkjID=HC+$lF;#yx1E
zeG8;_*B}ksa-hgxUyUM6I>8_?;YHDKhvZSJi?!me89Avlm4VBLyDH$=T$csMrkeWO
zYAEOgtpgx41C=TPnZJp^CWsp8i*&Qf(bRevs7B-)R+prC9rMUeu<QdK5vXa`MVjK&
zP65?~n8*;hl>uLcf2p_0d48XFDW4*W2N$_VX;wsSq5!N*Qiv+s6qup-b6i~s5un<-
z?dj1T?;Mo0WO~{<1F|(FzPiSq0+|ilF@?BP6?2<H_JIT!o+;%qVHPj38_X?6snc3R
zSmfSRr?Z!OD<$o_@zwom$M`hcy0qKY+l{^$V0XPW-x<O_$oQ<VaL`s8&GqUQ1X!Sj
z37(+Xg&zvzfF*nrHoxiPzBhX2Rg`s>GX8Dr)Q~`+Vn`%<cYGbH#8E>3_VN2gMR8EC
z6^fnIxC12xdypS4@g!zTS=M#_xO7*ao`#B3{k^G3yC3;Rl8!;xyX~r+H!*gvO;(%z
zyGf(rA9?v0Qh5oGsaI)}^Z<l``~_Idk9M1GSHRGdCD*WK6;Z{lFuslaLzKeWZS47q
zH}}HDkE|y|K(6U4DAjk7^0M=y70}^^3c9$t5&+<0Nz8FnH3+x%gDM+k7$==cb`>{n
zdwIGrlnLLo3?SbyIFkv$4GKu6J?RQ=d%y}#M>DVYd9L=)GzaRWtt_!{MZo5l+V9}k
zL&0O<xz#$39;*GGC#ro7xga#U9L!cbv1EPh-Sts3v|~Of@2t7A`E_G+3*FdrZ)EbO
zORqqF_Y_cvdcFc>tSOI;0bFXwC~e1a<s)PL0?no{$n55hQKV^|;||0H$;^NQtAOn8
zFS-q$yOrDxU!Ci4+eK@dYuyg1hz9pQPI`ea#xj8Qk@F^<m)M#f#TH}xQ=U<T$tx2Q
z?}#e66^AIM9dzI;Af@uy2%5zQ;?o32pQfH2rmmzKjDD~O9CD}EK!K12S=41o#iPx#
z7s^s}JnQ$*fFKWjKr*Y=<8WJ=?O1xVv|rr6r)H+l_ypHe?!-me&O4@`UzYo<P%72D
z=<IFhTzstL72sl2zJ2S;1<1GvVY1@BlrK52_t$TTUV5QEHLd`5isUJl?d$alkkGEY
z)&K<4=lz%rUxS3KY1T@#H-MTr_i$G#)<X$L?uL_C0+;o7<;G`6W7j@_w6hg}%;!8H
zF4i__SSbT#;OAdeykjqS2Q^fnJdUe@f<~842h%|{GD;PX^_}VVp_wgBZliM3vEtFP
z>v>?T#34oqMG7ACz*pG8mDzj>tKLMhyy|Oh0S6&3s&5I`KnFoGl00eKI;nx}=iRsJ
zGk};1&=8ZL^T$KV+#g1?5+PdiB)Hi|J6Az5(jhyg+T*EBaljoNpQi9nzI1IKVgYL<
zX5VJWd~4UuBCS5EYp`wRx}z$1f!CvTTPRkdVr9@Ewf-&uMZ%ROA*#wKa7OG?tkRi@
zt*@fA`gnd#a}lO2W-A_ma_|eEt}kY&LID<%Mk^}Z@ltI0jY3e0LyM`E=lLy2ClqK>
z*i}pfV8cYS%)MCEpVa~%Ka@(y9uUvfIS@hjplYehLj~?JrN9!>c<v7BB%YisOURe$
z=4i|?^oeD(6f?frqF4o#u7!A-=TWMGcJ2d<k6521IW~R5IeNP;Nj`Dmp)CY;A_SfW
z5~ADytBe47dSWMohI!J{dEunS_NJCU{_7XO;S7RTjqi0a>*+||U;<=-xJFPDi2|L@
zhd|=Q(WAP<=mqCk`Pj|l9zLVIn>S2f?@vEmpb!W7M6hWe5MP`t^xDho+y)A-;Uqp$
z*WwDs(L^#5u^d<uMMgN2I!-$u_=7?%)F6iYK#jhaLOGPIvAEJq0&S~ngk#fl<L1kq
z<`M~Ry&4ms3K2HB*Fn?%N!WC<RjguaA>wNIxm)_jcI4N|81GydhLW=j0FOh}KS{*Q
za}f)q*DI&^Ff#WjzeO^pVX<%nQlpZW_klcW{w(v?%Nc3LfJAq(CjYog-V4A2whe|i
z&%SP+O}j0GMs&98CL?)(lzPF<x}$5UN7|)=c75=CWs&t_6^Doom&(G1!=v(Wqtf)l
zHL6qRKJK%xY5fF1C}9zvwJVS0u<{llx&}spjk7y-OG*BDVx!9VFotB9`^KIDL=ggB
zm>bS_?~@*Nso~>k;hxyWRR_;C1Bf1G6CVpJEdck$uUl5)I|<{AB03kDxT<D-OWx4U
z`PPHs#EIE4=;P{hz_{x^LDfxKs8_qUWU%j2`B)@(SE~2g0`tHZ=;LRPQ__BZe2=vV
zfTLDi!P!mSV{jemg4-+t1Rz`crpQ>Sh|ogg$Vc44IFvAvJAl}P3yBkVAvoyXT(m56
z1+;(T&H5p`w<P&?Qa6dspU8!}da4GKVaHex3zG(D?r<XpjBay-0|gGI;Qe;72pe=a
zfX+DdSfs%|UL;zR>t9Mdgs5vhzJfFRLg0p0@Z+oG#-NtO%Cze|(IGftQIoXS0ZFOK
zKZ^Ci?#f{P@suS{y_veJD^Aoi2&|LuVoLyfOp>18##N+JGX5Zi{fYQ=nSh}d4h})L
zqBo(`LSBn*A|9*d+s6)L!lYALd^1Hg?E%-LKqJV&I-hmFssH05^i*;Ot4J=c#j6Fs
z!ihyAp{~$z9JmXw08aT0)z$s`#+ggvpdbRKNk&|_$j6JMxTUvufMR_0LYRZy9qPTy
z7{UUwYFTy9mwS`;i^DxRgPV5}a*G#sL2$`WUgU$eqT`ddz|1@vFVM=mdDU83Py?jB
zhk_QyacVfGDxYaKWUYI?d*7~JzdZ5KKGmCQ4WZev>HVe?*=m}DO3i3P=8WElH?ksP
zLxxolxa#_;05h?d8bSIk%?x=b`Y?_3RdS|bsO~`~`<LRYq*4QO7vx5X&qRUVP&O#f
zS4(d?0%>Rf+(S^!*Mm0_&w>fv(m!`725Bb}Q`4Lb$Pn<3LMSc1Lm-r7^@=+PqJ)Cf
zi-jrBxsdPx{##MqXeJ0PeLY+@$3-~^lsK7_d>yv)Duyw|c0<SPU|`N%K1}9I!^8R4
zhn2V16HR4ij;`I?z;RiwyHu!Kcb<K$yF<DX62EvQ2fQmAb=ikMV*u87QC2#6B21Qm
zvJsPuW)^jTY?%vnq$^+`CId&xDPME=GRV7(FH*eO1X<)kfP15RahV6JI%Ge7cfKv;
zn(na5sy=a*i)O<xlOPq9#$a-BD}0IGCt_6A%q7ImD&;O|uJFBLIfpZlxRfFuyCj>s
z<|k8rHrSRontwExA|Y%x#`tB@o*Q2hdk;uWve!1<7r$orwospQY|Q|Nc}*b=55OJY
z&(e#4py2nFOsPcI$|OTvqk_3h)^KoDu)KLMn3kpJP~vPy!W)3Pw1P{F0J!ZP*BVIB
z$ap&&0fzz8#IR)Mpk0W4B4rf)+8n4Z;F=p7W~_9X2{JQ~)<DFgYx_o<?qh(|O;|~k
z>p38W0rZ~G<2JWHbbIf=o=E{IdFtxjJmb?~5eNVQmEO2cBY%oGpuSRaM?DAJt#>Xv
zO&UyZ*5j4APkp>|<_bTnATLG}H;~;c(Q!zTAF0H@md9h;*Ib}WMJ=1UtqS^M2hGSW
zg5lMl{w_}uY<$cH@bq}m>kWyanC}if<Uv=ZOnH8|8qtod?3=bS#E|hk>z?t0+jG0K
z!|ZmxdyxBG<-vFc&}=LS5@Gw#?2O@%{Ze7xPUwNu9guq{ls`$SvK3E4PAyd9PY$&F
z$%@&RCU*dr3|e5J7dWoP6;24;conyssjkwD+Cw_vL{2RC5~1?HwQ~tuh&xFE0JUdw
zhMJznkpUDzu1=m(NC&-2BA=IHtI{k8A(A$QFopF4TqLLdha{7j^}wESScsc#a*gIP
zsJwT1cR)t5G|P2yt5eCu@U1XH25Eu1J(OA=&wKgGOgf6@M5{ExWPqM^H({L%X`hsV
z+Iv&?Gc?CUBO~H;H{S4R`~=ZbF3)#CU@s;DL;LE`uuSR44HBSp96?fG9XJ`ucgw)p
z9V3>Hsrs;!InEGB>~hy1FeHg)-KO)rLEv#P7bsuL8#WK5z9{Jv*%yO60+;U;RI{vm
zw%N?}dwnS#Ufi0?ZlPE4<Lyrrz#%&J=k}l%F<pl5UM72gjd83qS<sI1z3L{=hygi4
z?##uap7>|gmU5tuPFMiyE=5Kqm*xPf>0BAj%RxB4jkpo6D52l_HI!E}VERS+rImkf
zNOEeJMhxVcO`KInR#W5me9?_jy5_|Uf{?*_3e+--8<T)uw?^Q7AoG!)SUBozeda5?
zUzW!hTnHZE8;Ft3CkKVx!pN`fYs@tFw}X+h25vRtjpaRK{F=Zr7l+R~nMa$?`7P2w
zMZjS2Et2s4s#k`OSd5{eiyE&8rm3hx&pwm8N0kvrROoSlEk0AZ9281jccjOc<=Q4X
z0|I{HIt?Q?Zm=T+>41mzC~)Q6&kj75%p>_lp*E1UF_Ys&s^4QnbIkMhFH=Xk3p}y{
z962cN@$-pnIXYQx%>jA=^THf@D!iQ0TeIEGPqvg<c}2HcM8G9`fFIlrUZ&qS`Dp+k
zu(z}wAOgQ;+vTZT6VjiNMIra0aC<RzRvo0?l+HY00-iuey)XRxiFBCs?mP^?Dd<gk
z5Mtm5N0rK~O6J0ox3Q9}z`?#h^!8rC&)c9vS`JM5GlS2BEBo#ih<;K!5IuS(uwdKX
z1_7;F9T(tEvfz|$0!t1LeZ%qhV=h>9?)`~Qq&rs3JeR7DE0iA#9*8&<7T9G6wT7W}
znrc0=a|F#wV*^jBHf^N+eo_XjXw8`uz20)Vx0t-D=_qQh2$62p`>c)6<l)D0%o>^0
zK+w`asHNkm_iKJXI01Vs#6p_b)~MT4=PQ;y@Qv|>-YTt5F2p;`jYOWPejP=~iN?7!
z_0fWI8VPU=u6)k9V)c7$3{iv;M5)%ZfF*Via^c|9KnAL-AaP5I*utl+Q?Fx!88d5V
zGiFB@O~{iUPyk~qH*}Bl*Yk7;E|mPQ>tSLWLyf}b=3+d#@!qITg2Y22W%jb-d0wZa
zN@?a;xNGAHSDgNMh=mvvkNUN#6Dd*gfS;VatE<Imo8V;aMZ5M4A&Yy|?k_egxop>E
zQ65Erm;{fwfL-jbHM1^B#}CblX6=aq5d1VOmt|wT;e^I`ec?$)z3TaxkmNAD0>}S_
zYw;a30C_~bzxfsGCv7{dp_}hmDD6}RF4>#%Zvj1-(E`80y2m$}?A<(9>GxT)REyAg
zxm7`E<OmXxB5)Igpp)Oj;KbP&$V?nmQj9(_`2o0L1D39wHiFSSscu1spVT-lExv@k
z{6?_|iB((DU=?{nEt1}%Z3DurD=J_(`#d)Keqf}axECq1tZh9K`FfYcE*#&qi~~CX
zyIk+d23$CF2hbgMO=!US35EQ-gE<j_Un9!XftlvKgVty}mds%~S*uNc#aV?Z-k_3$
zJa9{kc#@b?HHzN~qE}>5lK>w*5M0{sACNV!LRe+!z7Ouaj6Pj(P9%J0!;tj<8)}6E
z9BJd`(fbceuj<j`d&{2IKe`n_$qp_j$-qsT>!5+Oh<=Pvnh;DHOPzWwNpSQV-ZZSS
z{lleR;1T{DzaKv=qXKEq*J7H>jK8Mo$1f~Fhr7+b0ha%I>Rl-K*wnM^oj**<_wJN{
zEoNC958|pn57+N=wGN%R_UgljfBzYb$qg_UC3-!ONYsyM{r;wVAZ%w}$@<abuRnwL
zrg4Ji{)8R=@f1*C0yp;eBzMJsjlhpl)`$ho<s{|%6#)G4RN55e=Bx*aT=++8i7x_1
zk0EKu4;1I`&J5Ut{;hwJO$q<Iwa8e}0O-jT(x&pyH(3jT{@r_+(Ff=`KPTpUv${Yq
zG_K9;<v-u_-*o(cKOG2sW*&=<r&9boO_u9)D0w-*mPVQpWMlR^MYyqsWs&eGE=Bf(
z0<WXPFJstET}mW~Us<G7{IP|~ND=fPedG<;Qi1o4TLSQ?L|iYXQr$N`5$N<Tj)Re5
zvCC(av!n}vjkbxkwa`-zs7>WlWVerI<)0a&7*0v-I-JgeGN{P5gLZev<l{q6aRbs#
z1-}G-K($5~{W4R)K;j~Q<y`ES=m}~dR@~aBzb#%33No}@2=yq~s0ZSi06Aqzn-ZXq
zMgf!NVws8`Hb0@g9dK1FoT9=%=X1iR&FW%-KX$T6d}9&*v)9++B(q2ql!%eBLJYOq
z?Ql?<JKXx^8C*f&4C&1i{Q+B5Kt})h7*M_d7;rc2cXS9ALQLk)#%%d{8OGkDNF*fk
zIz?G2ZA^L=RTf>6{MFN^<3S&?XRMV(h#$3mo$en8d4ON<IR!g)gInsovWW%>X0@J1
zxP_e89X0rb91ytV3c(0+bx_UK2igxmhFJswj0efH5|?Pn2PhZY&#6%>ITPOQm>iB)
z3)&_T)cw7!(@LRZ{`m09aTqIMFt3GUBl$T>=ckENpN)l(e@z;K1snoGhseUUFnvU0
z8ev^#8hXw|CJFB!1|p3YCW@ZJn@n@{_uIc4jYKHLy@)Zp^+$)k{da&I3{Jb_y>ma?
z{cF@N0dpC3!KdYq$^6zBNpoQRs9Gj8fBy345T$iOev%gwKKHLd`0<laD7J@dCI2t8
z|GQ8Bco}~H7`^{G^4Bz4|2HH5Ev;Yn0Jv`d?UDbi)^7{(pZSH(#{bTdpBCc(#gknl
zs1ZaRp~~n=nefOnK&b|Ra52DX&$sU{vFzReLEyF!GTp+_RxQq2kQRd~39-E60daS#
z735FGzZW~?)kqd%<{MOQfOtG$3!l~A>ZPQ_zaZ|hym1E*QtLiuwRb7hkL2k>6>|kf
zxwTt5elWqG8dq6j$~yOCYYbPu2ddUIbt0Bs=f($61tH0MrdvJn5Rv^$x;p2Jep*(o
zie;}$obQ(<E!cf9d~-d2rW3wjIz3r=K!rllOsGf|pfaDfQ#o+nD1n)d?r*r;9D>fx
z*=&>|ZR8vy*!yGHy|#gXZ}=i8#_-DFV`b`fe9{2ySub(xq`!TvJ*F+7N&egm0&M`E
zJN#(sc2)`l0@n*@dn%|W3p)YeL)BxDi4*W!17-ZAS+*SjPrQto_ui**pm2ION>z~l
z!kZ-$bx|n~Zm6&`MCAp9qj9%|f|0bH<$iBaaoe$Hh-zBfxjp<sxOxmsHxr-DY!Zm!
zM)ngi%HdLt;^>rvtT!4CDNh6-i>p2prMR-X4!AUJ0e~`l#c)!%aTDa7c+J~+{JE~U
z*A(rf2hvKnY*sHnE6Z>{uc2ezDy%2%F#8US3ta<{8o27kOgTa^L=YaNOU`fACCXWV
zyuG;Jnv*vv&{(cf0zejj+~NU{q!|5tsJ;m8_FYhWq4g+(o(S+97=j~0G)X2Z9OtAL
zR{*6sq8wz+rAD=6Ic)5KlEGt}j2t3ch-$%~&O#imvde?Tm7D3rarg1-J%}Dt<I09_
z<L<UMqI)fhmc&gd=aCB)^OJtkGr>x7AB`6+)?tRYx2Mb<v`xZl&!q_sU-}{&#h#Ws
z@VEk&$|uFy8UQdnq7xcHa_0j?X`VHQaMyQSdk^U5)tNiHwOak5D!cPWR~dVq|A@9h
zVFx~}G>6ZG^Ecor;t9eJKVJ+um;~^L&6>3W$3_N9qKu9TAh7x<0N`?g@QA}!tbu({
z)f7-&&Ja3D1weU>7*^FpS^V55I1ip2m(AM08ZzZnYmanPUAQUtRQ^oNYyPa&HkT;-
z38gG`i7(mQ5#ZY`9LXWB$@=!cxRtlxsghG<z8_<A9a+a;jz4e?lu~;D8<s6V#n5#;
zPpL!RK4i^8+~-jyGDL~??31mBG=bwn!j+7_=0hU_iSoRvftXUP)_h=umLEr;2JSxF
zR|5vO>c<t9NH9IzM`J|1PgL5jsu=RiXj6aXM$-{#6;OivnGLt09mUCsoy8HZWuHrL
zi|>NpdLG!a7pla>3kt)Q6e1~MV2TC#aKjn0&Yepbxox7?NPyaGYTz$7;lxPt;Yn~i
zRd_h1PXBOXiTLG84FX5Cma@OvHei8b&E&^XgR`#Pc~06!=H9$Us0fjAPmN*0FuNbu
z{L{yl;t}=fUU!_Nudnh1udw3{2f|GI%dl~XlILLUQ(gKuCSMd6yTGSPs41Iz{3|QU
zbl9?M-e#LIC1<Ip_BGp5PZ_FEYzm1Vva6!kC?Jat_^tnKiGVbHG#t4yKPc2~wgj$R
z?zE!V9N)4}^{P3rGs9ThScGc@%5GW2t_$|(51GP@-YUYSMK<}=-#kzlJby^<;}jL}
zMqu*YgHu4r;v?!Vwdw~kVw$3DfgXM~G@bjDF}NWfpG;l24*-&sQg;i1L91t@v#0h^
zPycg@63v?;j(=R<1c*)Y*lieMrLiMfTm{kifIgJ9K`>$Ff#`y?L|`2G-c=%Ho#z}M
z2TZ34D2df=DY=4kUCC=i);-Ug_B;sG8B%;m5~*6wG{%TciQJ>}@WchzPt5Il!ny5B
zu6NI)y1&q@usctw*#PR1G$*N|aa!o|J;Qvv`B^hoAnj&?3<SU;?C;IP;qr4c)Jx@(
z3wFg-ths6a{vXjV1PZcrT10f~ZaYG5Ma9f|Vldd+3Z|nVYk_lwwtss&ErZF}Z4OO;
zFqY7AG94;TqMEH}$otje1sQRiXVy~*rh%3mc;pk!r#2lXq*%`-*m8&HGoM@qk=zMF
zj(d&su9+XD2FU}+q7l}8>}H&@2K0srm@ox%!O|9VhJ*$F=O_uy@I8u@t8Lot`jqpR
z<!9!_Sd6f=&r_Px_sVRPl=6rBJoqe|JAj$jb!jmNLatjokCza;4Q5;g<SB=p8}Z8C
z_Bg}>)An1PZI8m#i4A?UkoGak?fwcGB92H*F0i=bIO9u&m@)Nwbzc-4rjf^R3Q3cm
zom;&c-?o)aM;gbVG-zx1SjLZ9bwI!4@^(%*x(wRjdCz%jwZY~b=@qN()e5D+1HRSR
zF4xCf=5*SYp(t)Uy+ZQkL!?vP0V9vs{lckT1u8!!B)2|bhpYM_-5TX3vL1jB#N)T?
zqQtNmC^5o#3ekOSFijlkKjjTzwrEvembnF^Kt~Y|_vx$$yt%AftA<BWkL(_})YDFG
zceX8r^>ZD*hx-INhI1{CppixMMyS)WlF@utG$%G3RA$;nhH!v?h7_`|AfLktCi5T4
zd-W*7U-+TSbCxI#vBl?>864CvF4DNGomYsq(_@zC;lPc)ug6A1t9i~%%7AwQ-~=!R
z>&I?B)Uh#$JJGk+rpzYJ%r>szmz1hUsvRP%>$2hk`cW_8EfKR(IKv(k2a7>2L;>q8
zdUefrEdN^mX;QF(?9L{G<ENG*mng9^6GfU1<A&HYE9f(0wvTVo(#$(8DlJ4x=FXMh
zn&9gS?XB6)Kq!n!KOd@!v6ek8$@E0m=?wU~cy@mOtE&ajdHcJEE2zjG4WRna)mV~q
zG*tKZ(n*qrrA;0oEm@-K!tL_^6${^E@L7R`({IokVg?uJo~2BxOD)?If-u&kKV=GT
zclAF;klY#tv)Dr@A3<9{a-^PHVX$OB&YX8AJn!NHpX50kR}`A%i~o$T*vZi8mRHYC
z6?O6nZ2QJvzPwn8hsMhAub(N>G1(>RM^@4Y$c)<y`^3*{$H-2S)^u>h|IXL^oXs*!
z#9}=>&#tB868*sN61Jy`ulp2*H*>gwML^;Yb%mdiA4wD%H9EFY!lJo1q5KvZ{Psea
zvlly>G#T}m%!CUejkMpt{2q0ZMM<}fat(cNp+31y5maE5ro3l&ZrRAu&FN$F56Jl+
z!=APZlkPEV2cS{u#z=gzBwL(SDuLG)b`$QJZ1199J+0yUSA&3(ErQ8a(XSp4H8LLl
zYJk}%5N~Z8RsP123VcV<f`ym*{K-Fa2jEH_k0dQ1%Z(LK@WLYM8Q#QkEK<91GUejB
z^0MS@ah2O>05<>6QAL%dJ9me9%ofuiAWYVS!A%C~{vo7S{T5WPV!>1KJ>QUXkDMk$
zXy}|%(z5KPCXiSC=SzU(zw;r*ZHwE}-o!<05gdk>BI<@Wi5s8Gh3c1BVBHv=?Hb`u
z&^AHZK3r5Xm(`4Z+5ase^^Z~2kVioyq7;jwIE?6!c#XDU(A3v)^W%N2*}17PP}%5t
zy!w#!l(ixnu@e>QIq~OZPgfyDroa0G(5-~ea`Im2bOxPtD5h4|UY!eA%5;uHTA~zl
z{{|zmBi0ViaKwyKqZHmpm8bbA->m-6J@Ql%6_bf3G1_)}^(8g2MHtN$!A}!(J^%r#
zqkYL)XtE*Ou)tdGQB|nAeq?HY;K@maMj~0lzt`ZdLK<lTMR55R#U<h7MtbMZ2knjy
zSSB@cBnvS7J*w1BI&CMVsI>jbb3?d<=eJL4gTC=f{#tF4>#*ix%G5Gx+n4;6InlC)
zXj9#G*0Y}%-ms=0#Ui~tg<y{F?i9YdStrt^6}m!+r=nIv?&HDb%%JM~p1kUHE5X0J
zH-qKZ^TJarQ8D;s&qe8tNX)iws~S*Li{yoU39tn$cOX<PDDs{ta7Q64LLm?%KH2pu
zn!S0Es8mGUzsEck7CHUm!VqS^!c(=NY?6(ct)qY=JkyYlUb_Ph)=OyAn6;qF_PNc0
zPuTn16uh*lY*Hjcozb;-e$e9om_i`=joF#t%1sln5ef^AdvACe*#cys?5{X4c6jV&
zAiewqs)j-Se<XSsj9tjW(L)Q)@3<S2g>zN2>Hjd1>oDn!mq&+oFJyMxt(s7Kpek~8
z6StBwmm)4Q`mi+;oPbJWk(fe`k@XRn)yj$3)w|3o@6Vwg{4145yh4TW?ZNE~s?QV}
zGE_W@44btIe(b?@;AOrW92w(tn|}*}Nk;T{7;&|S!9rz@+N~xp-RugVKK=Jb-3^r-
zijPQ(QfReOFdkw<Al(|{7~U*0^)8>%p{&b53Zn!{I13&o?zpQ-;>si3d!4vf7*g7Q
z%EJ7yak5h+x!{Z`&O>ml7Y;|VPo1kA>X%(s9jTb^+`h3mFtxqGp{9V1r=lr^nw6|{
z8vn20Ht`A^p;0@?KJ=O5W85y#7n8qloUWC(J5!3J7E06z)W-m7N$7Fdk{LM{`o$+r
z@WY&#Zw$h}m#G6*v{JV{-cc+jb4S7*AWKIhU~>+os=e=go`7#j;y)J+u06_`MAV14
V#}Cq4ERn!J#j9$v1=1$I{{!r|(Fp(m

diff --git a/chapter_stack_and_queue/deque.assets/linkedlist_deque_poll_last.png b/chapter_stack_and_queue/deque.assets/linkedlist_deque_poll_last.png
index c881168b53af5a068b8cfef2b926fd069f1dccc6..40a7733746e36cbbc05cbffc8c5a33fb873dc0d3 100644
GIT binary patch
literal 58079
zcmeFZXH-*L8#Njt2!a%)DN3=R2m%&*FCqfcA(YSrL3$4;9T8Lzu>nf&B_Z@0q=}${
zbP{SH76d{S2qg&I70=OgUf=JI`{Uj}cZ}CFl<3*nd)4Qe&zy7Zhk82djPzXe5D0`(
z<JuJi2!sZFg!a-w!4D-~O)Bt%%Ev%m1ybC7d=~uWp1rAtgSIwA5PYVC&`=$Q?4w))
z{)13){rocJE1Fctet$Ng68QTXaL@Zr5bB@TLm=khC*_w7_)YoFUqAO{Q2leq4Ct?`
zX&@Q<etm}af~z5+SCoUmj{~09%zPjarni*eRPjPg$3VLw8dsE!Zd1+U54<))?Cg0h
zPI;T%d~V5B3l$WI4y+AhxK?cMY%5|aVh?lA-7CLj2p<o4>9l@XOAYPW<*k0jQ}?=t
zzLA~?wEW?`XWiId@DgnkPtV6x*^Ta3ua-XE>B@fR`|bSX>W%`l_G;tg(pK6tGMOy#
znnejhMg6Zo1pLCw*N&N5S~lEhjY1-kN$rWxDy;bV`2|}h&;m6@=vmJ0G&;U82=rfn
zT;p>ps0?#DVI=!Pym7R~W3tdN-)~_wcNW&~dL7H;f-5qsamRn_O4icSLY&#4$6Xg1
zkmIjE@t=3$d(s%ziLTD@-$0^JLZYHe<8?km#g@sjxn0yYYLmK(J4RRoWzD8@&{AW|
z`a+&r$q4yFe>DG^;FBX4ggr28C>k1@2G<=N+yi|irBVPsa?=WXVcNbkp>U|iZLC^k
zXaBy^$3yC=SK*{`8d;P=o)mxbzlP!GZLbLv`g0kQt21g*`>I?^+JDsZ?;FD5kdn2!
z=?YxDsg=uLscsMCX=^2lV5u~l81aqi4P4pot;sM`uLQ(`{OkeKhyO87d|^sa(CB(F
zlvOqjjhP3F;yap0DdWY&Eps~Uq6WmODP(75s*~L-J|u!_*t=u`uhr%xU8aZoW5D@X
z>cV1LID$#;8nu}Wwcm3gMTxkLMLc}fE>e(%shPNKS$^|jt~H4ZK2*|XlNczxhS9Mx
zvAu8*UNwG(<G(s;$cMlf4H`>}?1LYy9!L4(dt5pn?lfD|HII7qWvR(LKU~sZGPjGp
z3lscK#9PU{;wU1T_il}=$22b5C3V?J{(A{g#_l@b3n5|eQO$)68hAC$)D2+)N&^zZ
zYw&(!1aRZp%cd1pg+(@G#8Ih>JNr)+!~Ga6B>ue1CAQKG7ma}_?al_l5su0U@;yA0
zpF#3yUFhC!F;hCNjr{j(J_`3`Lfq&o8|n=)DiI7YVG|LCe=W_Q19ww^;9U@tV&1FS
z;2I03OS_gln2hp|v{19$aLo~>GCj8TdeSD;;{w?^*lvr_F0G2tQ5C;f)S~Uq`(I<_
zSfzBqd$gQAm)e<^#B)8H>?oRR9%-hA7qP?)Gr^&ym&&4h1v?u?HAHJ%ljreF1NEA|
zoqhome=gMru;#n@@v|xg&_Z<CO{Bm5FyT(s)u*_qt3u0ub2x2y4K)EVhb!dMdcD4=
z;M~&S8<v39t08nht!;O+rTULus{{#$(bX2Yyfa_+{cgwr7N6zz@ZFf2j%NDT9AR2j
zbr_8KzHGb$cS)kc=-r8`xQ4Ux)}Fb-tB?O&pQoWMVo0dr6(hI)&PX#(Z}!{lfe2Ss
z$VBOlh%uINcqa`1mZrukdEVaTw)%gD4kbSG@E-45t)aA9e!LM3jIzNT5tf6-^Vo1k
z)eIC8=^8h<<j1v;O%rI+Q!YGw=D$YdeOg$g9;cS-t3mXT%1rJs%3OR6GWY3PrW@H&
z+>e3mxIG+@+KwAm|L<>Bhp8Dc<j9y@$Q@Njg`t@nh1Q)7r66ODvwF&l$NiG@-dD3O
z|5s<3sM+)_rK)Hc&@xq#R`Al>E-nhp%^Z#qw6!}$#NsPs?-pJ~M0wHwxh_?pA}OPH
zBVh~KaRGH{mNo5ujx$tDi%F&h+)I8wviH}&p89uqq^v<{)>2RBr35&MN2VTbS1(RY
zAQV?0muu&?5mM!i2rPf}=R~+ut9%mso{jFSZ!kg$Qw<aItBSMSUx`@XdISB>n}?-C
zMKG8Pr~r&T+>x$%G1s^n=3=2(KGyNag%Icjy=fZbnH!0o=x#XF(^1jQ#W}V{JJ<G)
z4dca1cXj-2$ars(Cv)iynwZilLQ-vbzttb(;6Za(6~$2M-Xgen2ZGx_Wav7kQXep8
zE*SMkXTqpeF2YVo*5;jnj7{s28H4W~{$u%4?a`>*z$uu|@4S(3Zn-%hiYhqqpS^@Y
z&rzTMiYch)hn&57vqn9-eE8m<k1>JLS3Ep0<UGt0raJZ-DHE^!=L%J&ifMocgk3%#
z)B5LrT($^<%x}?T1^h7>eRM2g*<Lwpe{{ZwhORlynh$yZKO4ak3!#$YQrG<B$^X0g
z|Ays%tL1;2=zp>0-(mEBQStvKDrS6KCF{%o9x4FtjEs%Zmh~`N_leha?Du`HP0(O`
zXAP{ZCK`jcUk}}*=hM3mr6$;7k}7F_rB+84y|t<}2K7($!|X-}aVSr?a@V0{?XVNQ
zjh2Uq5x?@*&C>*O$YsIEh#eNagE$&ew#Xnf+?It8!r5w^!}x2#hOydwtjHF4Oe3=z
z^F^kgUY8oAKMOi!_^;bsIi+M3-Tu^oMJeM5NR4f`jh$G3XK<x5y53yt^Cr*yZl6$s
ztbe|wci?yDel|DUm4PL!LiqaDujl=JTPu)!8)^?4L4S4XuX>Mf40P6&!BFA%6MkMF
z#tEgi5f#}N|3_8$z8Z}4*qaw|zZ&~jIYo$sPz}d)D)IkO50wimLAt9iOr84A`t<*8
z(;p-&Sz6-1#3?rV&i1E>2dRER6%L?H%WT^p9rbwq{i>mCj_Ka|m`Bs*=NQ2gZ3?a`
z5Gr2kj-Uc+#6SI6Rwh)Bxf_Zg#E*__lE)@@zu_Ej3>N6iF1@aRS9pGU!@IZn&aVB@
z)_P5oo6z1y(_Zk(hqLbYlai9G8Uhx|-toA{3jf%i+-sap3tS6X?UGD<@#0?f=({SH
zq3V+-{Ac@fJti9;(oBTz?SP7V?WsD?oqmn8{O+l;{)^g@_{uMjWfvQ_7azh6OYY2M
z-goFqLVSwkMCKN5+!TV+eKiS#q*#Y`|AyMPPcMJG+#^tep+^u0orX(q=*oS+2hWb&
z-PxwySGqp=`p#;ecJjCaaVU79YG_;?Uc1(>716TN%B+|occ<Kqyf&a4xHfZWbW%ak
zc;fb#SPjWsQ!{;iuP*VSdw#>UUfJgP0SO70s4v}YRj0N+tps`8*OpiKYZ)n3Ks#z~
zrQP}VV{3H@Gbd70VY@ukw2MG2DEwG%tzNO-BPX`+Sb4V4xTp8N+5G;c-fscpI&vvi
z2=;`@;TykJ!jEr~P5Rz26Lb`#^~9#L;69Wo0`>UF#gj%M{c(Z|=$Z*ljMHeP6BiXe
zQ<atk8Dk>mfik{fY-Ilh6Jujx)6!=2;2ViC*MVZodO}iO0yc9YNM-x_%L^yUnB^*&
zc@HV^(Sp@{oX_WXosnTfE#o&|J6BvE)qYy2!+EMBUdZzDizj<v-uBnW;LpINK<jJ9
z++|~BaO#XtL_|evNYQUitnN%9jZsWegfO3O>1iUW1a{Mydbdq9q_5&ukKT!OuVq3D
zn0EJm?acU&uNwPG+YyTE!*-))RmAbS3hrDMo(_z;wVBygHt&vr={#b{Qqq&q{Ik(w
z4bR*y8-wojlZviD!jFU9>T|Gr_SeP<KXO2B@5ie1Lao=AqAu{T#$EE<5E@<so)!XH
z?J-upz@KQbg0kKr;{7LgMtVZ><cg9XS7c_l^hD<oA1IJ#vW*+}+XxL16+RIddx*TS
zHzs;Z1Npk8Oiq4##3vp>Uyf}r)_W|Q){Hj<`qz8}war(3u-MdtbYg#PYqpB!z@>(o
z+uv;&Ltvvu)@4z&DAn5PYCk|b)X!waya>VGj@8)xpc}F>XT4`GD|CR@`~3;lvpVC>
zDD+*Cy{(>5v3pXrd4*Ge8+)s*S-mk4Sb|FrTKPciz`dXD6sf;HyYV?jl&L$Ow9+ZM
zx9HzAu+wT{i7>W3F<Ue{R5A(nW^#AhJP58^hxs7WT4}2%e+3aWk&JVRSQWfay<=aN
zOGyLlhAD5;N_@$2|8Xy30Akg_2`1QeYKO98J6@c_7@7=d3LT(zVtZCI5imzc>h(q-
zsul^xv>t#;t1R?inrPuZqn(s<Xh`)wQ`KX~;KA6&Bv!2(Qnm1;&gg-pHKEE1Mw%h+
zHW_`#=a?79WxbjTC&QE)LEPSYHvRhd2D!)}z}g7*9DPkvlcqnL&|7E6GO~$yV1ktf
zyx4tWb|Bxy(bo|b@JMxI%9%EPuZ5PkU~)6nf8q{^9aVY3+w0Tmp^ffGn0R&x5zNj%
zDsYacE6%)tDPe=(kPDKd5j8%ZJz|OR>FDOSJ05O9k+`|t>9-t_>z_c4{PjAR!OPA%
zzbm;-p$r}U2C;jl4TXR;ESr6b)kbb3jGah#oO4MdNCu;Av9V|6<>jqRvhyG`Z4IRF
z=1}!;A&QRt0P}*GCKp>Zn0py<=Oj6dXv!`(?~7C1-L(0@C5n#I?32mHJjF`STP10Z
z;#*KB2DX=)nihqa@Qo-taFv~qp7cn3k<P58--w!BrbpcrM~wlgue^hqDIAwFd@IE(
zYV4hG!G`J6iQwy)jQd9zF3g^R{U3%jOdY!SV_K2-Hi63c8tbWa1kMb0IaULw)d`|}
z6nrZ#^v5Zwe6Rj7_l0FcU3p_X8dI}Q8nUjr4~caP8iCo{k@B2PS0tOZwBgS;-Kk8?
z$XFBWhEGw)#+d>_p5<E0mucw3{3oLF(0+l$JX`iG_Z#+Kntn`)27D{^!*w-}DnB$~
z_VW%Lz56-X(|%c6qeUKD8NsX|ReQ#3gzIH(nm8Tb6Ll)6C(n0j@n0E~5EI73lp~!o
zh(=ZxPA?)mO$<+>ZW)Vqr5E+JVHiwyUeU*z<GP6=)kw*BxhiA%nzO0C&(72afb;_2
zV6&*Nfn_IdjND3R)sa&6ffd%9Hk2d7REnw}^T?a~4<pZ-Ngf%~vc$FAI^#qy(qMEn
zHWEh0b|-Cjq<zTA8Wc?>LoWpSIP+GY)bj-4@NWH0qa(kP{sSvQL3<+4*UOH*eDZuI
zx&sZLqlE^oQMA*7x`K_)M=IQV8@9eB>q<|tp$B&=VGr5l!61AxtdO5`u+)B#d+}pS
zfJ?3dGG?<|cIjZT39jlrGF}1#e+oak`Ic38kSo$N))|&qPJ+x)z3G@HRx>7el4tXU
zYG{WFI0II`exU!#X>~hurNXUWz8Rw^U3;vPj!$n5G&8H|tr*L%W?s`$QjH|h%dg`C
z0v4XCImNHEr49}uo45MZd7VBN)cH(@c-gh)Z^f1n0!WJW5ZC8|sADimW+4?+oXJjq
zORA8Nkofc}NU#MJwI%{P&OfR@WA0*XU#n~imAuX(&sbR_Xyzmcgoc)uXKrS!FqFc>
zIV@}O#L8Pzi#XAfDdgr+D(WBr-L^g13-<k**(ae?$z|u(KJqX$b8+I0b_@=N<4(wo
zpGh>>LnEd!-h)CY+8>LUxnhj=5PDF>lj|0^Fc_^ecn)1`({&1+f!e-Jx^}~UR1pNo
z%>1LXk2(gUzpr1j!nX!(FVu|b5%(k-=PgE+gWqd5trz9l(A@3(@-9x7D{RRrh-QP*
zCVG{O4@>2D3*_Uk{AOexX!1Ehs$Zq61|w%v^tsU;1-v1fnR#(IYNPt4#`?!e@`2U3
zdGOIZ+Y<$mvuTF7_5Xl#J#mdliHL-YqM)VZ+X$mL9(jw25CBBjT-cG=R8)v1f@#iD
zRG!6@f4*iiglnOQhQ?B>DM`|0yFKw_Wz-!ZHJ2-uG6_|24ybA(jV{{J?YnHPL1#y+
zj9lfVHg&vNs;v-E0{Grha&m-^%rBhUY)Hk>oLPh#DK)apeW#b}##7kaK~P8Zn7=j(
zpCsdIDmCIR^`CmWcI33ZCEjx05B4Bc27!E5tx}kF?<)=^YGP<G_r-6_EkDGGq#`so
zdfkK`!{H)YOMuoiajZF>MDU@GOFl67XPcYvs9C(B)w1Je77nYA#NA)K?guAjoY8(a
zrI2UEQfTW(3?7b#K<n5*hA~L?`7NXD(ifm$@eGXN)l67-JSLL3le!c%Jzvp-0}Dp|
zB+W*j;T@8JvoU8u?vy%ju+gjucWLIuo>Ar8o!yP5CK3*QpNX4@xjx;MoUh+O+%;A#
zJyYNR@bKAjgI;4foa3!PGtRQ|vSStK&EU6()TxE?>=$e#neXHBSHG8p?x4~>_|BKT
zb3Sun$_H;#L|>3Av)-^Vk$llEN(S}r(b4R<IQjMA$=&sur>E434qtpV9eAl(-iHHh
zPWwLPH^LWyP$efw`*xyaER7LuoqGGk*hU=Mz3rZ<$_lIr9>v5jHSO&NZ{YLe0*D^A
z`7>0s$1}#f(gTR+x?l*bvB?ON&$o|#yR!485sNF>aT8<&edV#Rs-W52L_r>F?+^T$
zZ;Mrn>lbBGcOG5t_GG?j@EKcV;+&yUWkp|XZfBQc$v9xvOFf9WWoj5XBH)O34cfr_
zFI5d$afD&x(Pw6^+KH=65&d8gn0d(Ohi6|T44g|31}o;znndpiltT&|ezd6AeFXb1
zd>`$8lWJeH=fc*33sqdu;IB{BF)bf5RdnP@gRd^%a?W$)zpgEx>xuH}8@;u;{7I(X
z+d)8LE_=Q2!t7f}(Mx0^{op5}A8sJ|MM(VZh+9Spei04gdeYzhtg#ZcO~R7^u4y)D
zRwLta0<m+Jkz+9QP(xS1`R9wF6fj?f`26-Ez(L7^B_RYhyV3<uz@q;b@@)2}LX;6d
zVd$R|-LXNPNoY-RT!tg#9QNf+wJZELgk5syR<L0=h3}_ny{Jqj`dR|Ps`N&yj_iV%
ze1*w~0e6msY-LOpCfFpkRTA&}{BRz<{t?{ETiQ45TOZ=xi-YDk8mAKAMy|_IH}R*7
z)=>RLLhupzPNj^d_Q0ldTVTT=%5~P{vc8L9lA(-Co(NVm0!2D~6Lod6F}TXcu0kzS
zlP6#%6BId$X@QH<G&XJq&xT@q18`*yS+K+^?l#%~11{V=X>%$teo_o(ruqPF4*F(q
zoG>6|r6vV;YR#;&vU?Qo;FcSpU|4yDRca3uPT1?_9Ss1My{qU^nDeXFG1``L9uy!k
zkJ-hpjoY9HO+UZgs&Snb4W88k_@dUm1=|__jpK!!@MRYnM+BeHcj6ThOg-LJ*`Mib
zT3c6z{dR$&KS(3yFckiLZ$g$@=IzNkpIdHtfL7VVZgnN)Djsz#7Del;S7wz67BczS
zBZOl8!QMy&d&7Dqh4WX2S-z%pS?%14(}VK6;~=S^6^y%Jxl+ha^+~VH%yf2A0uC-w
zro#3u9TxuGdu^tVD1g(Hx4cG+X`lHrTICYaP(GUTj(dcO*k^pJ{8_0^PPgeC0rAe9
zjD5Ehyc9^E@})i2Cs~DoC;}^nrLv1hBoC^h9u)VzuQup2DIqYmOieTd3h}tu-kSPK
z2oRnOTJ1^?Ar}Tbb8FxV`FQc2z}$Y+X=?m9N;VdId`vr6`{f1Y17^WP)mQP|#EY=_
zK~s3^&l$?NVrL@87`A&BDaz0=7upao8~Sm*IBA5pCy5+k#)IlE{D+@EOf%?~T>DI%
zMwn&(tmsUX-W}@lvo;lP=SqxZA}0`+BO6?lYb+f(APsZ6MskVg0~5oZ{qyagHHsWS
z<AJ^x3+R6(#lKLw(mH^{BNe$fe?|Gfvr`=SXCBLg$h*HPi@ykiC-ML^t-GEB8SPi)
zL;2KviV9k)&KZIH>#ARXpYEnEK)3R6&8xq2-p@LI`5F)!`r0xCe_`;yA2Pzq2f5Xg
z@c*l(D}94bO-;SxR5<`TqohyI5*D*k-Y@Wbc*0K}n(5EgdRlqUfsX(p{cuE#68o>Q
z3!kBWuhnN3pnuqsY-O=uQ2#v0xwduBD);>wUq?2_$wv93wT`>OGX})F9NIpPbkIAT
z0-b@31rVs(c|Bv}synL=fuf%s`YQ*a<j#g2zfT*E&H~i{m*0bu-}EKM?J7Dhj8+}u
z(9#DQoRxLIM|ZQdeh`@8?{&CJu^}kAtEK0$MRwpFg&hdC6M1$2`pRMbbJWp>N}&M*
zF(s*=Ut=oisi@6`nptLW9bU(w=V)L>rpjdPb8PQo$!9Y|k9fICyZxTy9~AiI#a*E0
zbwFUcmZ#~n^HKB%Bc;6yo1NG49vuHoK~=)SAmirJk5w}cP_-R9tivi%<j&Ho$c*QB
zO!Iq@DlGyktxj_K5gi|kKh=J^w>#F5g}-IjaJd64VXM?VPBA87-3^}`s-IRp3O)T)
z-+<-U*Lx3x<*HRV%o#35Ju|Mg@7!Yja@^^~J*cDN-<N#V04wzDZJn4u);Sz}(Y-<X
z*snYNy<5`2sNK0cUHQkttz!p31eaX#8;Jb%|Np<bxj^T_tQ2U<l`|It*XOY)6J}n8
zpgDBS<Dy;;4kI(OI#5poI?2SysB*dYjQ>War8eyGZ{iXHjXbXe5&4Qz$Hy4iv_>(O
zyk5~P@Ddjn&sL9H?9GgThfW4>H0-R8aa#KJ73gP=cl5pip)yg#lFNK#{vD9@*A~WV
zM(~xbfRp<1W3`7jc&%@inm{)euY(_^{k2qq1pfp?Yw9=Z)GMN;fEI(h*YTI}80PEj
zEO>;@;ec_(x$gDrakPfTOK}%mtmMSYS_KkU?ubiq-I>asa{Er;dSQRm*^#t0q1VPC
zVo}ig(=5?_s9MNK5|r-0r|8LJrOS#p2hQE4fR1BOK+N$-x~Ig;*>}7k%?&M;cZ#&I
znn9S(d?erq-X&HIS05cYWHB(f63s3Im;`hVya$kl7z{@7$0z14Kc*6R%_69sVJD)$
z%LlF>jOVyfufo52=wJOB1lw{@!BvgV1B%BWWVgOPN02FQoKvw?gq2dPhL;gTVPKeB
zPfG-Cdf;MRbqd+i4w+2fOd^pA<FtKT?k#ApKAQiRC>(a+0)yDzVU}e}LK~;G(WVjS
zA|S|Ei(JS+{LTJhCW7<ZI(1$9SDc`tR)MZT?kjCR2=j*mzl~uklj4tMy{`T`+F>TZ
z+3a4v@#bFdCk@4`*sf%-20A{Du?s$l``0SX;oyVhuip@Y-r=~t)Ud&E-n6&gAAFdQ
zHHtSz!JM>ZHXtsGGlOxO{qr!)b`6*{uJocy2uyF?$-N^Q^(RZ%Y5ti3wi*akZEcAt
zTIhE8t@L1++pt>=UQ?^dv-M4T>@o477ZS50DqRu=_xEPh73ml9rUiqSTWIOCmR_%R
zCwnv&qQQDn1aujq)zh)ZHRw@}<w(I1`+wcP4BY>LsED@E{_uUwa(b$f?3~OpGa0~<
zRd+_%x^X-Kt0?C?qgSI)Y15j+o`!t~D5aC~sqY&S&YRf|IL<ynSC2aH?QBf?^vG|o
z&9VxfSo^LUN`CHL4wt^weO%b(0qJvF3|>>srDl9kC2GMLX^Q(7+5JQXL<Q)5ZMv`4
zHq)v83R5o(0n_9==2l|~peyi#!On7qO?RgTg0f4(SYJ{fhbn0dXl0bF#RE~oc6I|W
zzJmktYt2?B<zr`O-^`Cxunx@~Y6;*k)-5~J>X$3<O8Z}vBgU@;ao3C@(QTge1Z9QX
z?&cTbEY{S1>MAOMp}E4LOH*He?vdM2F<xPN-sjDMvonVplQc2F0~BziB&{q54K^|k
z-GoUswX9w5e^1QmxsF+W!@#P$Hf$GH$a=e^Vcmch@fp@O|2E!T`^<uOWa&SfDNKnB
zR`(ium^J(dU8UQY-;kw$@V8gD06nbA873Y!;+%cDNWY8H_x_HN;5S^AMF)cb>UZYF
z%l-KNj<*RAow$8LTT_XsRSDly-)HmFi<SF|m8QO)O%F2QjrWdE!3PLCE>}#jBh_QM
z*eyy{b<!0m44?JxN@8+Sp3rkYnx3{x|BAFuAd3#%vz4S?Iadn8(%c#dI8RY;k9oY#
zv<JxQI7)2H2o%m)U<DW7UsTvx8z6qMtn<zly2212AD^^(=N-4dQB7$e%|OYzKBRHA
zTehn79Z%prsAp*bVI@i2W&TN--8%{Pu&Pkh7`q%N;4*%XN6tAVhz@Hsp5=Xh7~^d}
zR%O(-i9U>7X0E8hy@7-~dfDMPh<+L#pQ|86xA@Rj4P-!o8<=>isYTu`b|*LN?QW9>
zCn-dMWxXF`H5!R@-u<yfyogh1A&r>2BkIfbk9PdS0SE+uMAK(&%VpXOO_p%$|7Z-h
z-F^1Lqo>p#SGGG^ISS9*Q3Gm5-w#t_Tkur8iAuy1H{E0B(2yd92~Y#psK@b$oK;-w
zRV9vs6@xhMa@UdHxnVAs7CJW!#!hrry9wqRwe+e+sFmJR>h~Zk$$`B3{q<rc<^r{h
z?@WfTGd?HaYF}dG8b22P)Y!+?N%^^AVq#+4G08<hGu8nfINrmOvrJq!xGqUXtCNcl
z{i;}u%`A6>QpIaFjrz9Ga1M8`7he`MLB$N?U5}4*VZEakqLExLehY1UERvwN<Hb@7
z!WY8Re|$abGE|K9?N}6<q~*D-Bwv6*ZvX}rX7^ZzC@^)SD}wZfLDW%m+GZ6PC-Y_R
zVRuj=Hrjr<eCUfkE!>qw8K`ICqa#*0wIbJ)&+T}<1L*CS8ujM>S04l2h?+&fHypF&
zfi;$pi!EvVZpmPtz0n_iC_waRWy}Ogkh?MlT^9G6vgwsUqx2%|sb8~t)(ttY172GZ
zkn!fbM3W}uqP6ha{K#r)D^nm?^ME4~$u$f1b?e<1UHKYNurngoUBS5zQ2q1!ZG^1@
zW^<$8C0cktl(~;TQSFIG3>7Y4?v_%$C|h|B8TYDE2q~k-M4195WjcW=TzBnIxqCmo
z$H?H3s47*rFFJ0_Nf~=0E<w5hY(k(kO#}P#ww1rR<r65S;s?5xy0N9?zPS^aV#fRw
z@8~m;Fv%rAjP7(=@0Q!Wdpw%sDT^Q)2_FRLfY2Q7KN;-r7*^TEhrZGOkjk`2qknGD
zP#2M3O2b&mv>@ldXyKM5?UN^y8zFl?4aGM8qINvXkDsTTi-KLlv)HbEY$(n*34V>c
z3AdvfmbqVLwbRP@PA9#{zTx@3n3Z(eSd|PcXd-ODiw`Qzew$dBzgYW)iBSi}yTlx_
z9AT4$9q$IwbHYB+GH)aqTN3!ajT4n@l4)d@CjP48OoxG5#5TME4c|<FyC0QseTg_T
z7Vxtq9`g+(5!szH({kC&?ReuGNSc_!k$7P@lM0&hpQN5rCd0j~5(D?Ki;QvQ9?muu
zXl6I`D+TG7_YhJIEs?v-5#&=W4*?iCe3f3AuO8~rw6hK}RGv?Ps7XYEDzivGIaBpM
zvDlo^5;qS6EZH_l4g)|XyE?}#MS$QHQ!2fa474PfQFEpxZ@Js!c$Y3!eEtr&T}w;L
z)LOWqi&%VR-Zy7w6nrw;ug=cwXIUelNkwBa_u6=F@Xj$!bVoaJRy&xvl>0MNCDb^N
zw7;IDR;Zp0)M2ym!`ji=cWklRIno|$6V=~yc^k<d+gmP6i+$(165cb>y|rjg>rFmz
zw?8|}6~syr%*;uX$L*J!0L43<;`5m7fbZzNn|6N<NF_S}j|~YpYNv|dS-IJD2u-^e
z<yR3$o@`vnhpvKT93eY{Qu3!;0*Ylzys#x~dKD1uC0Sxy3CX%b&-|(?&rB?qSOs{@
zU2UUG`)fLZahNXVqmElcBd!odGJi#uAm~LRGQPc~cfb$U$@oeEy)J`=#<ki6zrUbk
zuA#abH&K=G_;_sgV7<(9y5`8+UWFAy&{woJCCTbjCqdb%POWhfu*IjLA{kLx9x>h?
zS!y%;ZTu77Hcq{@GXv2flK+VV#DUKDh9%7THxOq_R<adg#P1&`?yv6~Z1L)oIBssg
zzy1L{n4Sp;aBskkIdP<{>R+*2N&kT3a0R2cyX1HJW2^Hko<<7?Cm^nwL%10$+f*@R
z1!e28-BWT>9(<<xFQ}0omTNs_l^9ahju^W-X2p(jL|=*z7v9*vB=dOP;spS06CfQm
zG>91;{DlYw9H`p*Y$i+E^x@BQ9fbCoSbC-CWWLAmmeZ1o?X}v>WKOl63=8uBTKr@&
z9qG3dF50>|)`!Wj-9dau#!zx*lt*+vAPUcP9t4C#Ku?U>{M;}0t8i>qr%DVFKURTg
z6@2lnJgX&hNT%eHr+c}-$k_Wj0DB9;>ORK+!o;uAx|~0wxiAY~@xVJJ1Z^D9{EUOG
zX+dA(PN8ab&^f@LBmo2{>DJ2e>j9AP0-E_Wcw)#Zf}t1_B)sOVbH2@{>XNniL#~%A
z;0f{I3Gqy0|6tH8_R>Y`z~fJkF>o)O>p$Ps6*lF*-+|9J$#*_V=@S?vhK*5upI`US
zXr{K<D8Y`s@#Gn^@!vzz4$FkQS@`nIwE|)TP=)p*3RM3X47^xtL5dkFGRua=am)Gv
zR^6j|%L63bP#~UW$0=Yyo_i=OYFcX3pQBN|`%FvZoT#Yocz&UHoZQL-`XSs!yY_hy
zB()b3l1ar)Lx{a^-(DB?Wc7}Do?U*)irsP9E4z?F{#h1>Q<}Q=M&Ir4roL}dLLf-Y
zp_{FM+TleE>H`R$kLm^Ju?YyN!SiD^9x_y$fG`aJI{z+tsEH?Nxh2uk&&+9-vwbEQ
z=p+<LpS^gXt|F)60!Y@J)<OD#?iF1UcbJ=DH<EojB0u?>Kg9-H%ow)~o^ZV*g}RmF
z3COK%Fv4-0DO^<4a))n&NVzt!y0_D`H-s`N$-x?MMhDo0{P@Cqb|GCOfDX)b#te;n
z?Wg^uapWsqg{`l>nW~@$@#P<W_Usu3BjXY{R_&Iore{?B$lTDd!s|=B9@%YuS<L@7
zuoYOKRqm$%6&K)cX7tDQcLaRXh(Ht8-h9TmsWSF~J3{*S0|;~%EW(|ptAjw#DHqA`
z3?yMqfPgQ*G45l%Jv#I(O}CY9x+lFP?Nz5})9b<~DQij;^{<Rxpae;4y6>5!$3&4t
zH#l%H4d9P^{X(8Ur#PtQ_Ru7d)p0{Z$^9UJqG{AVgA!n*4sBl5Av`A}V49~;?K0Hu
zrd^hi;ch1Hl@9zBBD7S)i@S*I7~z9wVR<wzG6*63ojnPDe$uK{iS?Ej1Jm_kECPxO
zaF@Oz3Ip5cBAwV?uEjw##jewv*Y)w$WjDFB)+17$gvI)$MTPyG=9NCn%_<gYpzs7d
zHfpj2=ra`MKiT=s)^z$FMV1G}P{qOVeBJcC^_%igy0=%9lz}QNO6mSm-E<m&D9yIZ
zKryu*+q`toAux>HeUDTUI?|1~VTylmZdHEs!`ke?^GnV-zMc(Qqb>0YqKOAb)vy&8
zQZ(eXHsp$2=biYuWl>Lvv>}N%Ab#Ryvf)Q*7L-htGByFL(B`l0bO`!^X0T=pJd~zp
z)}b^H>KWq)do_nc8)9&!^4qf<axv4L01O#UmSDU<Z1)E+-I-u($i6sS_JxwcP{ja>
zxrcs_v9<`^Ap!Np+4&ZzYm|;t19@Z5*vQCtX<{dEa(m+50amb{F+jN9y~`jn3?|DW
z&b@+a6PRx%fzQ2mjeixt6tV$~B2@vt8^DqCo(f?1DzHV*a-fbhVPSCo;<zAf&mTU)
zQ}eJy>;79dBl?rV+@*#nt!n``7uJxhQnLyaqr^#ykE%s2=Kx&}e@2+(&G#&0q{93(
z^J-VK=vMQ}iVnd1cZ&~MWJfCQevjMY<|(@Ik(gsyX4?j^Xs$0584@74;~bqdI6G9d
zwz>uo;g7z!khKqI(;cIdAF`g!yKob@tk`P8c5@2M_PyX?2C|2tj<lMcbIA7Cr1O;z
z@1LH+E^8-Cn5`Q23>R&S0`mOCn4$a!B4Y^9YSzAk5@sm44$vYM+GO*3;IMGpx}~^n
zR{D|P={S~IxMAs!C*?fXadvj89)joieo2R?UeF@DO)eI>Xlfo?EGmYt+;D38c57It
z!l^jw(On(GM|c(iJ%B00t)!5#N-;ER1L~r(^T73?%^e1>^oc<|>)HqCjoSdt6A!lD
zXZDbQph~VP3Smc9B6xpfj977@sy^==1$z5{wxrWl7~`wOp%QBexatTUAEB@ru!#uC
zdr`bD!>b@LB3~m#sY#ROWaGGE1QEFo7z|e=V^W~56R!QjoX|CWSdHCqH@RTj8!!2Y
z-ivB8BZ8@)_sg?{LLR5Ct>dFP9~fM_0Lu?-Kcl@cMjCn@EACOQPwz18B9kBADGrHR
z4?AF2$m`tBdDoGFOW5_qadvzD=_b;hD<vrl38&;})J}vcO@M0RP7}2eNJcBCGSbl)
zH{EI2Qf#|Wp7jBFEki{=aX<6tDs$l}v%K%Y;VC^aXh7{#av-~=buh_TT=N7hlx+ZC
z$3@cs943w|(JoHW$`?U!s~j`*XPomp=s$R8IyJu(X;$SL%TPux*vi7+GbWy7N+>xd
z23AdIt%?f6DAL3+cfaEF8OZ(aF>+iLHhF2&DVd0rFg`X~8Mmpxmg^fi5%r=QaG2I7
z9$x`E543d2<N>)&PbuQI;wE7qLW>w;9@~vA4=JCSFk&1qE^#pABYqeZJx!7>c&D_H
zQx_7Ex8Ac9z<2^CTAAir7qSyTay@wDf(<A)uj})ZOvaiWNKe*0f+D#J`l2XWuBInz
z@VN|RkdPrOjNk9g>y-{6WR%|#`2gQ&!?XAtRinl{dc(Gtj6&xQ2^|s$2yfuBPBPg7
znJ9ur%U(b5>k>E$h2A2*#{<?XIjc82;;e33O0BWK=W(Bp7n2aWp)OkENNKup&DbQ|
zHK&b>A`ElYK{e_VR`r+be0xQz+(vJDCwhNn&sL&ld7u{tIey}d+6k7}un_6ljo7QT
zvqN!K9Q{R(UDn<Jn%_U;Y!LOM%OfN^=!jec&y_nkvs*MvtPJj5OXX2NBArp>0$$ZG
zPXad<xsl0aV_)mCcEK?L<r)OYT(~aR#r@KZ>IZiP2HgQDUBY(*ebx8#4km^}xSwgv
zwIa4&d~{)Q{_cK8<hF^i!3k=DL)|b{_(=}Ejafhha3W|XLBT>~t(FzFfWXMw-}NQ|
zo3>Orpfjp&ePvO{W~XZLtm2kNl<oF>MO@U)e1WeXq1(wjeHYpk`rN%o4BDOvXIJF{
z{N(r)kVk43^N*AksU_UU3o;7)WAh9X-%#j-dN_7U3e-qldQ-&AgL&PwQyM$%26C`H
zReSp>z|tT}60hQBImB!76&W<^7&y-B-NiP40ZGG=>4>rMfFmCG?<hVKRYeZ*lpc4d
zfs*Sxrh~Qir0>Khpp1a`(0NgrHt~sHG8-r+F42tUv}?BF&m{VmyD&7PuQdr;JZ~hb
zBSXF*p8z4al^5;|^p(0pQVW#><1_ZM+56{bdLCE1_NexkuS<V^aOyBBC+&v3xy2lN
z8mVn+HzdDIF^OjMs<?~A_0PifnORAgVAads{PHET7L)1HOwEgf080Yr6@`u-O0PK8
z`zVae>Z*jN82)xt`uT2=F3;$5q{>RlZRwSS?yjbDh2{4aB<tgYEtnNHGrY46vd&x?
z0hN-gZs-K*n10;B1Kk$LTQ*2bE;h7H(f6@pBo>PWBygz$@&jOtpTbLcBLNn<xjbzN
z4k}V6-i0>ydUZD|Vk;_2qrTOxWxtkCM-(o9OP^K{Qh#X3iKopS?Em9XGDp8qYV~P+
z*G{hPtVxeiAjoA!0@^{jXCZTqw!zz}!RsUBZ@SZLG-Ywgc4k#>B(~lWcPC||OJj5|
z;*|O*czO5mKr@s>FRNk=B~fsBRmgfPntTnBSb|75Zxxd;Wr%JR*&%)bj!#rjfvgR-
zm2d;16GX@%SF(p0`;feW{gPZmx~%Wh3UtEOQI{o4jIZ>kd#ra|%rQmJD26ERcnt{d
z6Ez{BqXGy9QdA`7Ifq!MfxJ5L#RQujecd=1x!b=nTU4k<-0Ks?S+jewZz1DooeFb^
zf3oX|+dkTkte{+igntI$n{$Jdi-;6v!JNRwe!;%g;!-TCE{ti0zI3>LK*Bgve_vSs
z^;cPPM=h2<l}9O!wW_Qg)7eKSPGws9ENRwAI2gFiNH*8yd3@%FK?ux@XbCp2DWZy&
zNqx+S*Gmm?^2=~<*4blO2T3>U&}~9E?ckl{N@<EWEp301c2emQ$oQJy<8$GPcV{I{
zlNyg97_L`jzeq+#G$sXY`}NOv5UsJHl{TF%>jC9O(S>JPLTq#euZn|GKm}y8doS4{
zmHcSL=0^;&0`HZqpb<>>WUd)AC;R&XcP3Fm`}?X;y|{ap@6P!F4+X}pfoqCdncDNi
zr4$3}(54azNBqDWa6q{=lXT>I*YW3{3mha7Grh{eP4rmzycq}P0}Fg`bl;$OCMgJX
zL5fa{)PQWlnUUG=Ha7Z(z6+=286M<}Z0wqkdH)uJn9JJ^5#QSbF1U=1Je@;d8EI_r
zD#yn=e)5P)SpZr0-4mw+ZaN-){&sMR(2O0=c3xu1v2>#P>UYx}6xW60<1Z%dv3p2V
zaepcX8MXiR9Mv_h*?bX~o$J@lFKSO^-LezB;3Adoei$}J`g*-Vtcz6Bw6l<7xA!dJ
zd96X}W%}kM1sN|O($Dv>2%b(&9RX6vXTFRPTEMrOyA<Z-n>PehohciVi@eVhP|$u^
z2p7e&#+Wz#WDXtx6c_Arf}RfUlY40Vy!$cS#&k_1NqCHnt2L`niBj~i?wuxf91xiq
z+XQG@*A{(u`!>d6B2#;;-MW;!delG_Jv%HV-k!(kMl@vP(#2;*orR!iYrU%{+@wjn
zu4<5Q6=09y{A`@veUV+yx|q?)rw8xV<bC+8S>Lks#dG9<_z+|M9jSp5$sNb-Pt2hO
zlR=B-M6X1yz6Ai72jQr#;xz*gv~6jB38s<cqu0Ps);>C3q1M?^oFs}tP?^SYOWXhu
z_2bCVa9j3X>tleV3bD7GduCiN|K-u;wRf^rCdpiT&Ks5G#f!6y+THoz`;}RPJ7=H1
z@tN+%vJ#B%j^(V)K}+GDaQvI8MC;<ft84e$C_dMu(|eJeR=o|4=Dpd3H32I8k)m7F
zj&FjrOL9jiLbew=hUuGuDb$4t^Z3|GPLz^KH|~NR+z;zMt5VMzVkG0+L(pG%EL{`3
zn=Ko`v#W|P>RBpeT5P2(4jWLF@AC8MU4SmOJR5VbM;njw-;fj-6>rBK<Pv+2{(e)r
z^`$YZ_6Ym+CMTTs7YrycuaR<RsPvN#TyL7bbfCGt08+Fa4ktI?OvMwgLv&V0%Z>pl
zHX~&#bZ;Xxx(IhQIDO{OBB){0d2I7FkYfCqyFrE8Nr}qLyar-Bz)tNHZW!D|j>t%}
z%(p|-mn1Aq&<m*#9Id9)#@A^!$$SO4&fp^~8h1HiP2W&O05Vqj0PJ|xq|?@g!@JS>
zuY&>N5I9^jV}YI+k!P$`&Z#OPlhQY0?{^54g%Enpe~M*PVADb()TrfH>9lXyvMQh+
zi$GBRCQaVHXVD=>vAl{C#@33+H8#fJgWU!5)y^$fyPTrp2_1O}0Hhj5){^`NJPImI
z<cIw(`^<z$aOXC{NRay0s*E`L_2`Ti>u7gcPJ3~A(}MiA1v>_^8<Ix5o&*@i*`XVb
zF2pzq8+b&GxQZ+(jj|SP+4VfJh8>8AsI<3>qXox|2fw2}7K)RLDbCw?3Gr~Svvfn<
zpI5uD{dyOG;b~lA9q4Vb3F5;pFdF;3i{kK&i-Kp%DvX!Ym~8ZMtQqHh!c`YNBXPD5
zS%=~k%r6b0-*bs)i&zIw61A3I+CA<&l_(aUxZZdA$Nl5p4;E#rcPiGbWE?p;1Kf%W
zVd(|mJ}J&9q7~%Y!tH6bdtr(FhVviJ0P5Hxy#EbaMqK^xl6&XCWK!XM@-A?n<5qYA
z=Re7Wko22u)`}HBxyU6i6!Mx<tUe(JXC(+Wg4O7C_YZoPt7?nCu=yxgIo^^ll=?nJ
zE=Ks_IrII+-=U2jV^2Ls-+zmJM=bm{cWW|zckOH<B0hyQZWptmvHb+WnhF;D#rum6
zPCL5{JL1Yyb0zz@=nH7%wahM#b-(Pc*EH0PS(ls5d2TVGGp)3)3=#}WuYadgernz!
z0pccOo;CjNHmJf!`b%628`p~KzH#N+Zk&}StpUqW9etL@-rYRKW$uv8Pr%iA!xQx_
z#;=4hFf`7~h@jut<4g+Dy5*lgu#vyZs~p_T72#Hu1dMzfVmxDu*?mJxU6PaYf+@K)
zk}c&mKIiLA7u^^ue4PY1!fOxo?mJ#1q!Y-Xp%l7nvJ@VYAz)vaY+^ig{Qcz4qJM-N
zfWDQOPy~Dk6x*n9zX0!Ni*Z#_`S0lJd6imJD~k%%Ne^rgm|X&`Vz0;fz?5g-^7^TB
zGUefzijaH!2^o(g!Fh$DYAfB#Ft>$4^O8mTT>oGrqzTzL^nG!x=$ILv%{k^<3{HzF
zNyM1D33tD!o-k<t^tMQ@HRE#_^8z3SdSvF#AD9t^a;@a^zGyi{oNs;(5KO#@mA-%U
z8TTqh{?i;UYukAS&q*@2>x_2*HXLX)!R&KFz_sP>CCq)%_Fki>O5czh_6;!JUGV;T
zExBKpSNy=;sO4cxLEr}GRtTzXKRs3-Xb|9exX4Do#r{}k_O|kxo70@Q<=t;|gWjG{
zI{bm6ZSlbauAzd))1{3Y^ZKnA4>Q@hl4!DE_xe3k&6f$ni1unb9p6s!Olzk@1M-!E
zS-jKOF#EhJnqq9dA_C5Nq`ZJ0dT?DSTwA$Yn^eTBL5^rpv00`L(20ub#{=b)9Mc#g
zJi>eiFC+`}VK&9K7jo=zh{?o|eNJrY^n<mw^3DQI5cj_B7EIj~VP7mZA{d;SaD1DJ
z(JPwHF)6VEjCh_7I>aW|pOMd(7Ww>&KLe<gBFsy44mMP3XycaN1N$~s<~hFGUD?e<
z4xCspsxCgfV~%J#hj%yEEBGm)G;z<UXNGK@3!tqzV+r#wV>~}-8FVf$OC#Vsh17DS
z_7y7Gy^#N-Q1RYuoLA<7l;;wL)>pt$j@(AowKmj`qTn@rK~v+o2WRk;Z_sZ2V&RJn
z>i!I4)+(eL{V{djheL_P9F6B}wxWP0m%S1Zwsv2wVZ8Q8u+Ji>Ym?jqKsqizOEV*3
z7he>o&W#u(v_w3Ioq7|`5#Vxbe2#2>>b%@)*4;1ZmqlX_11}Ri{4isheq8ka_JXl1
zOJw`P#KxNomZWOYaY9XLO>Cwu-6kK)@e~|}EHFPJdPH7Fb!Q)!V9~=QHtgW5*$@bS
zLeZYEi{!$1#Vy^P&t*57AJ)?h6?`$tG<jtfZZ<o5#{R$}iv?xW_dOR8N<!+wEys!K
zjJulyGoN!5--xN`8e^s0cC3u%45VrY3g=Ao^*+Lyar$H(pX9p?&O^ZEn13BbKr8a+
zguE^#54#z>0*>=fz{Y(rVW8jMp~t!K$o45ha#&+x64~}45=joJ-a51<%x(N?OE{kx
z9W~}RYQ3H@fjVpXP4{dmpnf5=E-$TxC`Xor*-PtH=3NYz$O+Z{!ZRCbAwfjTCb?NE
z_jBjBPd#y=ij-_fl1J@o=H4qZsR+byzqm~jCIC~eV_$b+Oh0VOhcroKAHD2E#ww8G
zU-|C!erky$4!Aorl@i>Yhk)0i=#Hb<O){|d#|C7Qd_NPI+|5+Ggm;klw>H1T`Og6*
zCHyx1P1zky;{h1^D|GB#klAy!nbnmq@7BHFZRk5r{fz#?0hj>?g?fBM{h}Q^RXpM%
z7FfNXMFQ*Hbu>>qX+3IfjP1}I1$PfZ=^I8f{m3^-JAwxTFL8___K>!Pb3HJytD#f@
zVKIc0{nUVoHBvgd35c*>r5QF!ow=x++IHE=Q<vnAzN6@aUhJj4s5KXVXkh;V*NAk>
zjgsI;bNpF&I<_W=d~;i9tkaE8^qxz>A|<I;FXvrrLOxWvG%J~Cat|1jfg{ZHZ0V&^
z1avyM(cXk=ZkK<DW2#ApD^iJ4j}O`$r4psC#{0qX&yZVk15L_9F#(2u9}P@m)jL~i
zuY-WPSkrXNG2Qc{Jln$udkgpn*<OPpmmqqAQ9ywT@x%Ge*{)AULE71Bf2kp+qNso{
zVZZ9++iH!MO0ie48QY1W33PAO!6VaMw6%V#2BOq#0RX}?YB5NN$h;G;kf~jpYgd`B
z<w{|qqV@*1q3(-P`KrGphR-5|{VHPvVWhs#j@=eTV|6!VirZhM<4tE$jKf$#XaDPL
zO%RRP52@RiJ-aWJre0ghGWmg%ot13dqj$P<9xz5_ujj=8`Tdu|@V+LjD=gQ27%B9)
zLL+m`dff(g|786dY5*Mm;Hqbpnmm%i3)*xVwCRvo{%=i%h3>$x-c7X8@ha&uiymMn
z`KTypKBnZN)x=TfBey2A3ey7zrEUu78CY94*|gjRG}r8*#DJma7f6D_!d3q9#r6%W
za{UK0rR5Z$F`S~0b?uy-P&DL?rAeZlH05N2z@>1)b)#ZM9QxzyGU7L^99&|4guV0q
z^v4_LsHjS)*<6j&0skIYf<|M@CrHTR;^M->zIvWZ=HHBS3lBoo`1Gu-8t<%rJLyQL
z4c_pv`}Ags=TA!{y-u@A$+v8Jg~#vtZ@@<|S81|KFhQi{8x1IdevdghX?j4PX3*Bs
ziJa74*0OQ?(pe&-f2@ZZBi1N~V#89#VC6i4>|h+Hr-aQTcZ?)h4ix52SuHp<G`7s3
z;@!s)GHPYaV6{XmCCN8a6IALl1}ki+!CQ@he(?Nmp$L1|eNZX!5>r^g5d~E~wS%yI
zmDr?AxgwgFw+Y^)vYWjkxn$ih2YafMCk#1f{OrJ6SLiLnAQm$wPsp65kkn?Hpzr0@
zh<=atSZR=!*j_7Ls1ocI9Kjswo2~4+TXt-@NY&^;J)>0WVTx0XUWcy>@=?B-#^1is
zlZsB@QvvTw*>DDe!PM($%(ls%oOg)14p1WK*j|Rk)MKb>PjnI2@w3l`55Tns2T(L~
z^HsH|I7EC!gnTP}{WO`2dI=Ez0?jOryC?Xb2vd>6EBN81Q~ew8(!|HnfcaLSaUJ&2
z%72s9DVaX>$mi4(X0Yp5GrOe^(b3gDRtSjLC+KBiRN}F{zOW$wcp<-wqRu-&iHuft
z-u7`3X9_3^ILx#(e~27jWpyf7(W1&rW2`tAzJUjI$Q^=(!}9T1B`^95)EKD}A@s_X
z=1ZkoZ_);%o&U0w=qW+D^bx>5ubU!O7T89Yh)726srSfT1{Qq@w{OIr$JB(p7p8Ga
zDKwg2#&3`QJ~qlnsA~p#f~4E17&tfTOEfbvxm6#Zup%VMePLah&kq_T{&w-%fX#2Y
zO^;du_=YGXR8=ZaV!*4TlF`+8>H@r`re+fU6*nm3qkvj}#L746_p4UeqLfO%m~;Xw
zVBwrLL}#HD#6>>Hs>iPl53-?pI5_Bb>-*=nVh12gg#eom{#_2k!El|9H=5Ke;GmL?
zddoj=SqT$`66dk_rp!?a*NK9m>Cp#6a%iOrT0rS_8t87U+NS^5L7v<SH?a;zbR~&r
zY7XLX`)SqgR})XkH$Oa61R!k&SeZY+_qRDmX_p3vh7S!oP7hYx=-ZdF7o*O|vJ3}S
z;tf)!-)|ZC2Q>xb5{b@L^#H-Z-KyfL4)Vwia~OP#QiD96ROB#!q|^xn7vWV~k6(ia
z2`{2Q4{VMA*;X1J2k!dChmC)mBXKSg=kW(qDw+Q8x(u2H&hI+JAGvh%8ZZGdGy{!|
z_p-wyw|>a%TiJV64|xbbtQDQZ!Y093HI*<|{S!`4Q{1~YEzl~{I*RcHr=p?pkV;_u
z@p0*L>!uKL!AL2Gu=&loh$U)5#(rQ@dLjV4Nn$q`|8enzP!D#=25ou*czb(sq#|GN
z6SOo+(q-%YsW>28E&(}b$^8Hm?8S**WyS;`yXt40_hNVXN74lb`{s+WqW*r8)T06Z
z;=(xK-de1V;s7u6310>d$X~X@-_}dQ)37-zzfTfsQ!`XL;jN%n0-n#8q5FRgKM)b=
zYk6!q-3<q^kvBP$4d*|CYaV2Rxs2jWJ@eaRM{|mhRm4zp4!OAQrJg%XvBR;bf`av+
zsEqb+Co%oiW;HW#D<eGVaDB)ZHra{;RMfU$5FUS0%m47}kxDIewE}Z*+@g{7Pv&iX
zqEkn}Vakhu`*^pUHSpWl4o(zXyg-14V=b@wl}WdCgTv+FN5G1-yWQvX+k6IC0g(=j
zXL1%%<aGUTitQ~4kkt-?RCV$7jM#6}yTB1DPJ7E*ZGA*doUGvg<E@Glhe^ls|L7y%
z!>|zJoYmHoAD-T^G|s?wqmG`X_?qdj|J7%)=AF=2F<s~U9Duy_mVy;pV|1P$+PtfD
zL3Mv(Q|a?i-n+((BHJd0&OgtNK6x4zQ%<hdJ?{wop}+-KRaI5}fieR?I<hu4j=#+Z
zrX5&{?7zE8puq^Umh!T;q_dGzGvgMAqSEzf%-s|(7P5n-MF4MBD;F8Z(7SX2SPes)
zi~G*>0#R0H4!@T@viGzBXk?%WYwGCiJgbvZ3l2@y@1wxBVR}&gjcMt&9vWT|Qf^{j
z+xMp7a7C_%L2*=Zx4EZKFiQ9@E5v)f<{fQZBQYWuJ2+Sbj;p$S1FEsdgq(0~u<r|*
z5DE<{Zf*(`!eu4OqOAsDYuGA)>#<TqSO|w{z#!pb!?=16!a|+_HJXMppu8rcSvQ=G
z%G9!+Vw-c;O_u1|z2MA?_4qOF)8jT=s?1yOJA3K&vW+5K9Sw%z_tCbXLwZq0#%skU
z1wzIyuFpjgjDxLMbSaYCkt*ir`VwZnc9Ghgh8ysy(Jkhtb>5&BZ*t$0%#0I)74@pi
z4rJcv87;Pyg@5A)OOsNRZ7D*McwMMC&!|$F3M|szyRQU>mYKisFc?}r7U;QvFylR)
zRG9@}R=_=>l;1$mtuA7^vAq|g9I+oL0Xj5&27=(VdD0*hPeWcA@)1hHLXOua;sxw^
zchFvTUC(f4Lh>aN*q?#KF;a=hW5ZrMWEF^5ny_R@Iy9=i32uk(D+4E4T-r3Gsi~-=
zjX}yTGD+||(R+z1_Z@gSVfFkG=5<)=hXx)CS|r8%cvGJb!Ca~{UhOtUIVkJIxDLen
zH2J_Y__rX=Kgb6gIBh5uc50c1D)9vV4X4C5xdn?8-ZVEPMpB|fZ$P-izS8IkuXo(E
z2amAGr~`W}ML7QJ(Dg^k7TTj#TK$bYOK6g~p>9<}*G)1V9AmrU*v)&?!E-9WbGl8^
ztA7WIMuwb$eMJ($f$snI!J*=dN!!lg9SV!57{K&|0ssG2BBk|zr3gZaQWBLZ;}H;j
z<rg2+mHcQ(89W#s1f+u1U>d1kmVc1o2cS+&;V>%9tUq{hg!wQyg!F0~>7-xH$Kn!R
zZd#Mp{`>KCo5F;EuxXL>`j81S4N4H*xN6cpq@or_-@rVta1DroM=+LqcXsg4!`=7+
z76}Vu<%7u5|LdiBKMoiC@C~uw`q3q8RCUg2HDo97|KjVdqpIAxH&EDY1Vp;Kq`SK$
zB}Ak_q@*Mz1*t6pBCT{tmw<Fgw*u1AjdXX%T^qmio$q(Y9rvFz&KR=az2CLwnrqHy
zKJ%HozI!k7d<gxwy?b(I?Ot50(X&(WEu{_g0pJ@ETuoPG|7G=H?<q@tcke{um58WJ
zk=$J`S}V;icOMuf_*!xD`|>Krpf+GcvM|%ai_4JpSi-_l<{kqYI*bT{8V`5N@Sc?a
ztWF~;V9d!2MUaTe$CTG3=_(sgO^SHW9vS0~s=u6<6&a<*Rs;T5tXLH89sXX7^>|Mm
zEBg#aR8p$be}A<t{4)Fd6k&>HM~d~SxxPb*!LDIXKIpYrQUYvgR_nfhFZO}=ey!VC
z37>5<k1y^i2>F@_9T6#`&L9EGW*a|ata7V9^*!IgP&L$cec;$Od({5?V;8V`^qTOw
zr$?$$Z#91FMUC4dxd|e$BB7X-gjc>v&cKHI<5J+YLyo(LIR3f5(-5G~FI>&O$W$X%
z*J9Z7RdyJ@tzH;l`TSt|l`f`iS{krEWbgAlv40HZX*0yVL7=OXOKtjXMwo}2htOAT
zy~RowieJsOac30`4Dzmo-5>;cgu}!h{qdRFKVJlJOx%*A0+W7@>sMi$Rbf@xEZT$m
z<}65?F8WXRM%OdM(X(m%{BFTbe_M>h|6iK#M^&lUzb|}7FbW!tFy6W~wCKJ1%Ci@v
z@oga3r8bqyE#X}?i*de?vSpSo6nhUi`>h4g=J(I$NpYjsyzUz%vC)t+pzL!i=O3$h
zl3PChC%~}Zv8rDgD8|eKuH*P;bZJnl`MY;8UDTSRf=j2O-7#?lX2I?12Zb62SK9Zg
z6qA$6odE~zXE8WvO*hHFYyJJqhd4h-F6q{aSKsRkej9P)$LQV7Ujqpbo}m<=0lSVg
zL$rY1C4*^x$Qvt7S~|jYjZRgBWiz3GR7>ygHmKK)nHah4tbV6RBh?4}FSiV2byE>w
z*K_=<l3*TO&-!ji9BH8k;2Q6vlgO1%i-dk<G>rA1-jpTnJJ$QffFw!?KR&QWM1XD<
zl4#H7@`7~vQL+8K(K4{wW|0@~51)}d0qwuSc*dwMeR;w-kN}o6HhtHQ*WXo|r1K}&
zKOeq1F;>;Rvtw}CxZdgu69)3K@qTX8LQKNf=Y3Q_PDYgS7)B1rhX3U}!Nkz>b_M(S
zt%f^;M3yLE_u)qenSK7^ElBvWdP@gvz~`vqCrZ3(n0_OIfDy>`bSp2wQ=Z<Vt}hj^
z2U}eMX{2D&q!=Iq>(S_K3HStErG%a{wz@75g$yMc)H9G!pPX+z1;lo?w4(x?pB~@Z
zEpx|+x4bagZVK;T3Bv7DY7_aL`)yTYG#j~f`q)KwOi;Pwy^p|@BB1fmp3D$wEpUNV
z`mLndPYLn6Y|OwLp@9V?`ORG0R8M}jPnf=*s`MVCX$U;po~|~ld(tz?Zdh-zf2FoM
zHa1pW+w~1kcf`4;h$9RMN2=Kwupm~6K5WoLsv(N+Go|LL2~|5BKhC3Oy)%nvXb*sw
zOJaYJJ6XJLcZoTD8krsxTg`rJ8;7GGf7(@lX*pB<-R;nl)!=+CRTV}2PelWZz8*9P
zoPtxx1K7z8uDUezfN_2*(rj+ya}#S@0yya~2p(#<@2Io8fzIVD5QJ>{6Bpw%W~<M8
zn5koAaF$4@`8)E9O!(}1{Ai4|0<y!kIlc?SC-M+*u#ONeeZ&4$Mg#|0pt6kYc6#Ie
zcdzRM#uc&IYUQTfxzuM`8s@aQTOJ$pU;N$IDrKx6TN`>CZpIfXCEgEFA1FdvVuIdR
z^rM`I)aq&y{BsDH#9-&FWVK$rRJVnXEI5+S*F+=0IpW`C_tn{5HeWWJbRT?FVAO&_
ztruWmh>rqDp8epgrxs(n{x_<}R-`X6tVW!yH#rO(Nzw)j_uZ}~dUm?eRsp;?Auw4)
zBeAb{dER_*Gf2~Vy1Q9eSj6(NM&Jy;TDP^y2AR{DiwN>k)iyERV)o<&lh50IOCKry
zExZPDM%<Y#bx|<Ev&exml(XM2=DUshs3*1VzR((wHD}t`S;5YW7{{)q@^GR|Mla}4
z!Dyc4c;$zKgy^o`X%sRz@YDeaGHDv~B_N!p#b%l@DIW3;XPa?VftssBAvb7D*Bp9f
z?M<HQbWrfznWjy_;^KlSp5>7bK6EFu_PeI`Ty`=Dpm}i(F}&~7C-A(70}W~uIF{8j
zCY(jz3`+BMdP#uDk8IiiGTZg&@89^IGI^2^JpxB(woSI8FAx#kHuKHcYx|31Ps&d#
zz7lDR%{Ma_RNPlT0}6;Z^rkMF<mFy;83*WrBkT*l<z!X=DIWBrVjAdAL2A^#nVB=V
zV9y8~#D_`{QD6Jmx8Op~vB#g+dGwVDpWg0Dh@PK_SM@8f3o*ix1b~z^a}bZnrBOq>
z!*5L{#)p+AD~spqOB-LAN&ikzq8*?`9C8S$85drGoIvLXhW#>m2ABFl^A<~yLM~-O
zbi#;|#WU`3P{y(XH_4#qGg1gDAL{Sk>*86PIiJ^uy{jXQ+ywa0k1Bpg1}}-CSMVd7
zt7fV&#CLT7M@;GW`wkmIqNg%>Ea0wG_IvAhNZ;>)!(;)g9ZQ|9pHI0^BP4L9vo?5+
ztl0Fr;h;kF7V;Kre047cb565-Jy<xRsqSiKV{!v=2F1%fu2{c!r6@k`F#(DjRaTn^
zsUt%mc?f7I0G!rE9`(o2`)c4vycr86&83mLP(=zh#70GDGI;fo*}O;EKxf?PO~jFe
z!`E3|Ag@zu_@j8+GdWOvY;+{H((a78U>O{pvYc0{o*gA1hWNj?^AK3-9EXlCAdj!f
zMeIMLer=|2Gpm0PyW%0?bf!*v@?2X#=cs^@hTX9GD7%};k~1Mi8)pk-C#6In8M{dZ
z;^T0iYK<D{Gc09F1pS1rc|^SQs8|H{c{h4?l3-IuCD9|-{$jg9YqxC34frjsR7cMs
zf$}kF8O$L{j%>kl!6Z;IFh-7t78r9<5Zv{F{)|Cb7t|R_&J{vtJ9>rhqKPMM^Q)W^
zx&BRWM&3}dDkA&!{IFlhq3Hk%)RYqh=+}~n2!Ea1{YW2;gAyEA1@w9A?^&~Z5sx?H
z$#-7z8mp!XHk5i|7`6a)@HAbp=N+Er)?h(^cZNc;=1{SjA+Y{OyP;SXXTdn+w_BDN
z@XSe;zFE9k{qeKEEgq$46-?KCsgk}O9|@xHqGMxs0Esk;NEwE@q}vQ&ZI4P2rIXnv
z|9SOLd?vodpw_EMi7@c<P8SHb0X7YB#Ca~8=;!APq0hDxaVdKh<Fb_z@M&mBfI?KT
zFhAc~qoGS+KOFcUcBQ7#NWgG7pQhail=6YELVPK1j=c0Go?lqNe*gLPYRd%9&jfJc
zTmDW)1xi)XM^w*zRz_Ox#T||3Tz7n~$nhB|>lOThH{H$yp}b!~d+j-X|Lc1{9SEVP
zC5S9PKe`-7E8H>KJkaW>U(DbE;Q&424q_iJTL&$Om@keC_~k5}-gROwEG6lN_)$T!
zj3mDyRWb=6qBp#XnL*p?($tOhF+An`lNz#}O0g|XEe$*`6c^6iU4d+@G#s4$3Q31T
zoj9c~dK-i-LnHhE=)G6|B`8a*aCYqKq^`Ekw}>=r?(9k<EBiHJ8p^*pf|s=4(Iqmb
z1T}W0U%-o)S1HZ+lUsh!$$3{<bUWVx=Da8+Aanl+TKb;j$3@BCMZ_=Jz&FK5La?n~
zG<)iepxKrlf~aqW70EzV6QkBQsmXQ=CWQmii;y+bp*!JQ*eI|T1J)m}Q7d$f7iaNY
zLrrt<J+h(U6htzhfJdL{2Ghit@UR6Bur4MEG8^xVT^&8rCzCK+4EhYM1~%~7;z?N&
zj6FO@gki`|BxNH_!(gr$(COD7GlAv;F#^z{?`e`pcxPz#P{pS2uUFVmp#Vc47ctzn
zFzy(ferb$RU3FB@&E&J0azs|o!A6IT0&Io+8;{*xw5iAe4*gE6KD3O}nAdpSVxBek
zxyg02q~umvA*LMA8)E-4dir+E24h{vX6woPmS7w&$XPhSC1&&udVCi>{wxIt>c@OC
zCM?n~2~jzvRDdydlLT`+;aow^CgsU8lkKL<{n^+cUd{wiE=wzczQJ@fG35N)xdGIF
z*9GC~ztp^l0nd_xyHz_19~9o!tmpHvHZE8p8}^oGha0iinUb7OOSPfHbm0h$$AmQ>
zcxP+};D+mqC5uj#oA1%EBGf%7yqHj8AMYL=5hC^`%dJmL4>ux^yRb`PRG<MAGU)tb
zO?btfYznm@_-O63tstpy(03%d!DEoGMZfE6?T8A$R%|6c31d5brM7vDA#YUV^4U0B
z1OF0O-adSLcN2$bp|p5RMa1fYw?#ic_S8_1F#h2I5-i}F1U(qYhCQ{T1Y4#h8?PSg
zqARs(y8<b9-G|!Kl`%+lSYOw;e?BS(3e{wXh2|nY6zJ%v?Rp@iSuIeT!m*N11Ms<>
z*ZpRU<AngJP6&`G(;`uhWy{ac@2cUt4{U`A8P}}jpy*SPxpCZkjnrp`jg!(?x=tyb
zEu{nb5#~Tn5WfN3UTd7(7_w={kZgaqe7oyG@?gIv$V+42Vhny6>Vaj@6c?a-t$-f;
zK1@NpLEn)s*>3qNCZ^@fLjTE?*FCm7y@__9?M!~?i@-+((}a*ZZS^y)RiUUdiCR7K
z_V)ftT8;s$K>pcmtx-w`@xXR8Yy>3^dXs|gP^`p!T*Jm*gi;b1G03CMy!Nd{fCsMt
zm8B7aAK9g5qweY#y%)kl(!ZcTo4M=e`Kqar+0b@tkH6U{kLE>;O=54YYmHXMkTMqq
zxKe%F9!-Cn6lQP{WQX^EvSsS;emsuHSv{W|dPej|XmoNH#rAQjk$!A?4o|k?>o#~E
z1O7C;)q;vID`SH2`C&7ERX>~(w$--<?i6l(rZAHvIF47LD3zH8sz+(^)YWTwd2UtZ
zo8n&~%qYN^c^rXOOLzBKh$CuX1n9NpvYV^`#PIc*xcll@!0En3yt!?RET(i-pbmoA
zL!AJ%om`CUaj=fFgbg7_h65(2lb4#Dq@!1{IQ!{~w6d}Tz+%wgKmN8X?N8b%d<gG4
z)CbC$_WTqmwAiAEaWJznCsJ}GL>|Wn96YLQVldEi4zQP6Pn+|kxho56W+Y+?Gyr4_
zm?Abx>#KAk-nk4p=4RcsjQT>puW86|y+;C8?HUFvJ)3ETyR=9f-1G*pPMW*F?O>L=
z$I-W`RB&Iz7{ERKlDA%YJNlW&=`nXu!VnP%H!rlef~BUBStL`66`rmw-~j-mzbb&z
z#ssUP1jYE}rAu@K&^BeO$TUWTUELQ0?GA~TESe}qgBSaMeguu)HNq=ufE1qrzm5jm
z9ai@uDH>#J(XJfsB0ME#CNzSOm-Ev?Agg?a%4Sey3uawBb|1I^`_%xZL_Dr8gG-$&
zvIFr5cnduOOkm@z!Ks^oBYZ{oWhct8tJ?_8kJV)tZX#ngmtVJt16TFvR*eN07oJ*~
z85ylwow1b?LcFnmwcI1aLB(~Q3DmSo3FG;kpUqAci(Flm^c=jvV8LdE#hxI!?@SAm
zNvOO@!qDnIdT!j8EDUcRX36)x1s#&`PDxXO(Sz;kxo`RDm0Fh%$OL{J20jG{;=ft<
zn}=N9vo30{GP%cdxA_M@cRvk_N3CE&I^7sy9oHhjqfHE!T7rO@2>@ElO~G>Y1DLE<
z1MHARUvfVGq{1yaJL{j^!apXUST=+Uc0gZc>pf_=jrQS(Onk1gc_4t4F8-ac^y@vd
zbTilQ)`eJ*o;XgUI=7-%L%=+cFomc!>5B$Ei+)Q?@>aw|z{8Gm;O#7e$H5c5a0bYK
zH);lWwm<fJK%QHmYH-Lo048YA$OPI}j%Wu_`Md$eEE$3!(xNe-&o3@xa1Jl1@v%17
zM8Tf`JG;LYtnh+=w))~tfQ)$=%RolyfL;+=03FbCtKB^XWq7qgmFwNX8^#1vDuA~j
zKvV&*XFB=;sHmr@Hd^@De*~Z9(^4BH%J%bdJl!0NAj1qfSo|w`0y_it`Nz4)n)&V)
zlLxjDdM5NAAv-JpZc#pm-T{u(PpQGbLB2oL1hq#HkHMC}D=u*q%H6qM(BDS#Z+{yT
zD!AjMpEJN=QIP9KA&`v!O@!fpYX!iM8hZV$znz0pnFu8DzNmMn0~H_eKx?pzNnQU!
z0ZrhUw_|>!e?hT<M~GjLrXO*+fn4ecT3fX%k~J3Dm~!c6J7zsmn;kO7_T_f{3g}=S
zg<Eif>ZlZnE&&)S@>o?>)#P`){@)ftaA!dr;dhn-wJ79&^5ep@|5tu|?g0HL-ORHG
zWCudhxhud%!r$2xen3l&OeTY*`j9;xM&4e98);t{mRtA!ig@8|w_v0Hls)i>-07(A
z$5OpWGB&Ib9T?*7oaAQi0`%`YQb(48GeLs)3@nY8y7BqNvf3|?dWSe4wI<2zuQ}ZU
zU&>bV{oi8FrjKD}(`UOLyBdkTQv<MtAI~1pO1<Am!Uqpp22%Lp4Hxz@#G-DtLrpT)
zE}g&gH7<`g1?{J6K!@2Q8>(Y)c-N3Y&Nmy4iz8*c(wY#_c=$oN3F6^!Ugycl$+|n#
zh%SMOpDhIjv4oTv^4&*FMULe#ytvpb_61S_x1b3L&!J=NKZfaTj|#G8STeYVo#lIj
zu|HHcyMdO{Ycc@`-3DvdLK>?(yiUpmBJO##26Rfg4Zt-3gce9ybZshLuvSK#Jg{4)
z18E9yPUQWYPXM42B{ha=2oj?_178K(VJ@su8+6N+wf5wD@a3ky2bbyrb-k*<#;b!K
z(0uM1Hd+RzX@FBQ1D^>)-3OUQ`g?i*{3aDthPfKi*qrjGH)77qZMOU`<_uQ(B}WM;
zfi&%Rl7VAe{Oy|$fXWSF`lF=YTQhalC$H~FEb-`|8uItTWxJnu>3+R(?CNTeQ%^eR
z&^|l0oziir4v%^Kq^_WRl`#x8Wo}JCrvS5=o%cG17w$P8N?~!`J^(+;00J_h%bBCi
zW3h+5w_Z{mu<N>GNz=0^bREv;Wp0nFo;?13XA1jxpckbXh>@-QO87kPQZzQ&ehe?9
z{#%&&8P&Wp+3OtJ`~BAUbmF{fx70iQ$uH}>Y{-<(5omP8#ROcsR>*IfnMuij(hEDV
zZn*bCfRNm`I<OQkQV%#<YZpr<(RaGj5|GkO1Iw5xA9lZJgtQ2&2tM}Xe?pByRNE=L
zsewbEO8IK*^_SpC^>s5d<KJz@ECei~1J}+gJ)1?<N5HpG!yC5I?iYYp#)CDWY#kPP
z_nr0mtXhp0xY<qR=YjN>Ty)V!d!?S>kcT<h>@Q@j$dZQG4<~m{Wi7W$58AVW`xM&%
zw%3bW8j!XC{y(NUXCsW?m7ikD^=k6l59@JfJ3~9YslZ}VcFF6TXnrl53=y2=zb*kA
ze;jZq?_rYHfU0bRjc`q{IXn!6L-NYtw0=PT|4(-*_Pdw>Zw9=80AzSoRmT7xeiHT@
z2^*mkh_f6?lw49bZ1Q`hE`X*OQc<@;?<F|=iV6;Z3^kndjtbQ-G~%{iNvU10KGkmM
zQJP{msMhpu#fetNx!YlGJa{ePhn>i`0{sHF{<Ab1grFCojxZw-^MJ$SEfDD#tq`{Q
zDV?5j=kq~zL=d>|3EY8rOY!?c2H6@McP6)gpXs#k%(ydFcd9r&<y&rb#*f&(S%3~$
zHT+vt5NiqxxBJlTNyS@3gY@}*Kr=cRYUGFTs|oO>{(~|j8bKSey~&(+<6F!$g+uCs
zD=UuEi%8jKBH!!SKW-KI_#j#F2Pt$BNNR+yy5^4j$6@&a5u5wp?32qy9AxsfCUnIc
z@^=xdWTs)-Y26jG#?`ZRu^Kc0qJ}phgT(${fgvCi6)^RfmvKTq%uT!4!SVg!YFj!U
zCf5HgEHIXoLck>lZlSl^*23@?zPmL1{Wi}q<mT|d3(8dz1l#SE*CFbX2od|c7Iyr>
z4}e2q|5nNFJ^}uNOg%qTOm;|Ki%~OT=a`w#zB5^e5u}~)a$dX5i5j58Kv!w4M`8J|
zDW2VKHK0`(YQ+?*iBP92KO)P*@J_-em5$PWYTZtVNUyK|YNWtZ>sE)~<#&Pl1^Gp{
z&N7)=kB*Fyo<Ov;v@%pqgbbR&2TA|@goXyqI}RaTP4UJk{&m^(DhM(fPN(1Yf4`ja
zf35p=d*s(~(dVVBlVlrqG{v+awB!ck7wugA;#T(UV!4z%zw;jL2i9`%bJ+y<i#gio
zdX`dvKhr@C-6fEz)PUed`avI3Bcdr9v*Dl~D~~&WHF6rVo0^CkVjD^n7;JV?fGnuG
zr)+nOKBR{2Fs32w+z1anLQ|Cb`$?`*RBDB`(-1PkIZl)Qbqva!^bDBf>0$p6&W!g)
zjT&7&H?`(I*RfSOZln|u?o$N!g)FO2(Aoe5NzB@gXr1jffw#5y!#m;6Tcd%HtdjSQ
zk3&R`_8cSLHRP;^zgT>;aP$Dny{U>55zPe+5!o?L<-LVs8X1~nsH{%Hh~0?`0eM&y
zc!vR2=(FoG4neOb4}_tg4`}$f41=!Zk%AslCd_WjL2!u;A@}D8mmPL-*Iq$HRd+cM
zr$<Wop4`30B%R-UmhsNHSnGzM?UElou9fjGYHk*R_w+tWQV=>7DMYc>=Itkt23bF&
zdoy^h$&xXi!D&_C-*6+FsqjAVSD))#Sh2VCQk0D2vEF2pu`AyYN4SH3EWvw<fF)`w
z8Y!iQxAujOR;;8nw@Hx{yo@3>>ibK<8>N2THFel$QR8J(W2AHibJ{J<|NTM*>R83F
zZ!<H-ZELtC?(k(d^OLIeHDjX*RCxWo^g^&Lg_gq;f4kHM>>w1C$xi{H%uq3{8f~w~
z?+>kM%<rEO?|<@n{s@fPous6P?{k_zbZ9PVXAV<9VlC&<Q6L_1YRQv%>CY7zP|two
z_7~imqV&|TLHbCXpUSEFJP<~$w6_z735GS%jhUjmCmircltUL?UwvHY6Oi~Y`snDu
z0V8k$TOKRbWB!T1)ejc1)5X|N5l*{RtaG9AsZy`z2L<KO?~E*M3^lsIx32pHyWxr~
zD1dG+u)3i08#itq4cJ)>#u*yr|JW5Z42K@O!1wSa47<(0+;}5UqdK+rI#jiK#_BqZ
zQg8n!lG>c_t;Q+VxBR@AC&s^ej-HZMd;?a{3&n4q5fhzc0KfC^vpO*mN2|Ev!E?w)
zw(KlZOU8onI@LaGT=tE}wcBCMxh-r<z9^qfY^hAB)I|$L5V$V_i;rxMe>l&eYv!a+
z5&idkzzviZVt&Q@_VEJ%Ef*&_A4oVTTua;@9J-4+{g{cEY1oL-;;Xz3y^feXUTdi&
zsWfFRR3t+d$Nw}MBXx=g;^u4TtN`3KLdaIw_cs%tqNbrCQFVJY202Ee@YQ(`D`i`h
zyx;Gy9e>JR7ZJbudNWM)bj4Y_z5?Q$qmp=_<8ZP07>{AQad}5)`m(2mwB|*8ySA>p
zG*)6d0X;YX_{|MG8k5X0bq2?icOL#XT|B76>#TJeNLY|GE%;ZsU?INvV)|>~Pb#2|
zTy2hBzZL$rsw3gMi+8$Hc?=j*^#nX`mRVVQa*>oWhYqI^AM_phk(QQ#g}sJ8fc-uD
zp*)B_cwRfJsj9*vt)tld3cCy9#0%fR`G7l<+EfHmVmc$e>-)DD9h1+pv9c*P!9g*6
zB851;jF;tsOY99fv`-Gg0Xb?8y-Ayu{!{-(z|Lv_b09!lW-0oQTBqf1P=-GRt=AK9
zPI<tJYx!gN*u)yg1u!rIvkh_L9O(GMX^Y#M=}Vv~Th8R-Rj!v=f?NpU_033#gYh2?
z=Z6FD5EceRpBU7Yj^g!;mwNVY5Yk_I<FkGi_Wkn7|3&t+11BN)z49r3Gy|Cu$fVS;
zZw!%dT`^DM>`>%`PIBB$OW+O@C9yo%0_t;^Gzaga=d9m@U<m@HPoQP<T`ym<+o04`
zF8Vfey2?Rd+}OWYV5%@>k@y4%>U)lStu&aa2Q4i?`^rhQQa?I9-;Iq*(&tK^%uciF
zuo;M%?YHBZKS^2#O_pv2MOClL9W6t|f!q*Wi!QSlh~k|M$Y7=LT0Rjqd=9k6z}NCR
zR{&8dDz|YHb@TIs<)46}<#Pdqy?W(=wn3vZXG8Q9=z|9g8ut+Ps-FsW3><Y^Jeqs~
z)e{zE`c~z!9iAVW_pEy+ijx{T<ZYUq+{HW<un-3|f%Cve1I`1d(NH;U3N6hi$Vt;I
zH;`yDiP#pBZic3pt6!D!ums3^<ucT-B-%{kG^1w0HT?{TtxQ|rqup*dT?@)uG!fuv
zru#4l=k7<!U`~KWWrN?XG1p*z!WzK4ZS?P{iUL_ac%Rk!Fpo1B69N7~p(hy#@Hsom
zfW-L(^xvndE`-YQt=J_P69Snv=q=FCz^S%7XBrmL_qZ$peHV>8uEjFW7CytW6F9Wa
zps~t9zwi@U8@#9FWrpiI>zBp%a5*`;u#bUiSyUcNQHr5tf*ibbxmVBY-@MM7=HVS$
zPq8=y<jA*Xu%8p~u@2LYZH-?NjbtFh3~HhlW0kw6Up)2`=GeY}3xtxFK_7CVLawjc
zgg+1#(E_hx9FJNerHm+MRRzVmU1F46FSr1L<W+7vU>HEMpaZ38j`hN6!>)JUa!$m(
z=*JP}?OPN;J{R=wR}MpNeyIvfWLbAnxQ#CWVqTVcmi{p0<sxzi)zsK<RF^_B-Jro~
zWxvE_bCzp@eDJL9m!FHjrh#fwWUt2*tu)iYVSllqPFKL3XdyD&+{gGzu<c}8zChki
zgZfXb$9F&9vk|3D38hJu=jZ&aA?BnF-d*%@OLp}8=~&*1h|f)iSgT7zWNleT@+s&A
zl4};$QIfgMubJzMzwd=p73(($D86JGb0ikVe_O~3ToN84@*WqgQV%T@88TCa`gLk+
zy-2vT>twGDtJ>Q6;)t~8(4d^#c}+NPN1(SYWIT?pl+#4a<&f0i%@5Jp!FatDYHGcT
z=PM7G!d$khz33m+m5OaTp~3pDLSObJH{ve$pk_4E?Iq>8zTjrlD{~Vya^bi4$Ux{O
zeAD#|=LEdn+orT`LKWpSRS4b>H8IzdOMy8n=WZjfF*)*x-xhKqkAY);if~B*j`GFB
zf&9}WZ#S-Hlo^YDgkGwi4!Dp+_4l+m;z`1tiEu93LQf#O{UOKkiM*BIqFru^8?7^t
zB3_?*SaSi|)rwp^XFXOyJGNQOuTBGPRY8kb;cHLPp4J#Xi4&g=cCDNzDTxGdmGbFa
z4>GjHyq@IIcgbTYKpvxxS?#xrk#hyG?f?XNooY;3&dV^qg0xG|x1U&2KG?^m366#(
z`}}FR{AzWRhsT697IySh<<a#QpXT+_(-AH7;`-(Emf{Yk-VbIU{|vws<J45aWoQ=Y
z2YK^LB^&83#Nj|R^_zN*u2j!zFaBOZNJp<G<df~zy^is*#3`kPj}HsP!VF?Phj6a#
zYu9tGIdI_=-5&FA6;d-m27^BFV)nF=2(fnU@RtfFJ^ky7GRk<v56u0TDqA=s4iSS+
zNjDoz&(EO@gY_{g_P_?WB72#p4gy+}W{()+Wj&rR=bQB)R|{EBq<<~#<;krq@db_A
zOreNzMm`?D-@zf+_?A5{3^4Yi&KCQWhg7JNwWTY&SG_QL4RjANXdP_JRLMY&DUBYC
zN>TyUg5^w={&;Q~#ALpW<aj=xA#0RmO2~2C>2sgs#ez+hwo<SF{?us*lu*8cy8zJ+
zQphPj?}udi0F|;zyAPe>ksr7IhoT5<O(sHG!~MiBJ{RlkZl`k1E|EXc7?Y)%<^ayH
zeo^x$oNg<&Q#h6Rh>UbSFEf0R*YkOm?Sx?CepvcZU#I@U$X1W!M8&=j5pL!$I;Waa
zkyc!HrltJ}piU@$UrORPXEoDQnfHP7wtfDIvd6@D&%6_tzYdl<(J}f)8O4ha)Gn`w
zaHr~lCdy&QS+`CjuEdE8YUW73?r1mPWr4J)0~sElD=7L2tb9H!jqtV=>YS?J<gJTE
z*f>2BwtT;P8kjvccfOXg<sUQZM7^h6@S=MP#$XzOriMhxB-o>zwhBVKxAxt9y5NqL
zLP1S)m{`9*lSIZ=ZH2G*j$95YSKmhc&054jg>C$Mlb^=VYslODA22Wp3L1!jCM^XW
z^mOBWf@(_UZ%>|_t`|ITAaRr}?>_{(A~-{(F3fa(Xs}Loa#5~0<+6PQ%Oq8!$MXyn
z15wIY;zv&f6yN!H2$z8@cxdeq^e5)-<4bZWf8bu{yjkQV_Ib&}obIFEan{evR?mq@
zUU^kWgIGatqdO40<xjBQB0cW;xk%>v+4VdH=0a0hO32PtS1;D=^Og8mc+jp0qJp38
z<adE>D#C1^fPbt%GOQ(8%^8Sa9tBu@Sjc}*8<d<$F&)bGE-YTRmQI$0;)4u-9Y<RU
zj#)kuT0%HaXn2T=t)2>mk>w*PLEIv{0h#Q((F3V8X-$O%x-BzS&RB9hve4yh?67f*
zcRmKF#?(vA%4B($Ff6aMU)CuSKt^qR^*h@k;IT?T9h2V!NrA-oT`$$vHS59kVkBzp
z0ej|IRc?;&^NT3_`p9)v1J{dcPasY>=WUeKmwRHq+ll^tMrsWu9B<MORi`q*g%Jq0
z>&L)L5q$WI$<X;-Np)r&y!=7es)wU#_34?jJY%{p?X{)viDfn)>3af)H^&*YgJU1I
z;lfjevT%)DGSyPk?_!iye1WdH_}`A+0KtCkKJ3<nD=@$)%Ji(1H9+B}N=)J77`D|s
zT>32=0W+0LpBt0AH6fHYHYy|88G}6tVRd6VN2a-9j!%*&VXbjiZ;xjYcy72>kzxJ|
zVX=fMT>+I+GW!}D6gjbTou&&do&<(0q11ZL564}$Phu}W$AsaXB!5`~{pdyDv>tN!
zIavJR`NL+Mk%YFz=luh};WhEle4+RJI*J5H`Y^xQH&upDFDrIuDeYF*BZHKYk{+at
zgTceL@RdNKi)?)QRqH(-Vkh9`Gd@CI?h={0J&U;gkfY}nVp&{l|CIk6mA^yc8GMY;
z$`O!#qbXtSaQq1T>zv#ww%uC*9cDHF;i-O)@^&&1hSmO*e`%0(si{R8F@>$aoQePO
zTHx(~Gz!0KZEO+0s?Mu)uDRoH?&%joNgof`2pGskfW-8paAFIw<_S`z_~zYbBXO7N
z=A}IQ%bdR7>x;4g;rJlV_dG7<S3QWlFgZ>E$5+D1ZThvsi+5>nlqJ37B;z7lzxOgC
zExiqJyB@7>j0vk&tl;Q6jYY6!a~OOVQTtiy3&JnTo~)oo9G4$K2~!erxrpxdL}bw*
zIEMK_YRD|4$sTguLsOY?+&BSwP3d|SSy9s<9V?~B{QBjt@5T+cP~R-cvwR)aA>@vj
z{p<wem+Q8+BHho_gXZE1id2;adQ~KyCFo@nY8Fv1<W3iF#6c{Kv%tpDF_qj|GR;@u
z@-QlvdL&Wc!{@5vl!U}shp6)}r}d25oV<B>YGT}{nc;>t8K&f8vZRt+pE!le-SN?F
zhUxo;*+w(!2qQjO4)aJ^To!=9j5mvIR{`iZcl=Hp8r}rg@g=;ElcniinCkK6lk`%h
z5b_I_rcQRHi#&9+=#0}32?{P#rEaB2qgv==jUA$<EBZPmao|K~gYfdl#xD^Lv`_}v
z#8jVzNiiN{s8O{>UnB2HN8%J^<96$mZ@onWf2Orw*d+&D>|g;snx^Xgm}kb0t*Xmn
zx~=vaG(o34llgqQ0<%7e-*`h~^`X6s7&pU`*BZ7m`ne|Cw(ZBAf{olq3m~df*yAlK
zeXGG{Eboy4ieeW8&1rNeHHAEDF5&M8#}!FLiyJRClx%7Y=uk-4ZU;IGKXsr`Iz{J7
z8B@o6OsVbo**$7Cy~xNYMDqD&+31Eohf<Agl{bAAO?f5ezWM-8&Xc7RgV}>vuADy(
ztRnpKQzRY`8qZbEMBf#dXqeaT^@(n$<f*|p++nK$6yWse$hsa{8`YdV)+_va_jAeC
zd0c9f!-V(Gc|*ZD*Twh2m;K|n2}G&i7iW#!G6(rf@<X2%t&L1~=e>jFS$yL;1a$Ba
znc$x)M6?isYk$hO@RWqmKE>X}c+oH0J2|=V2E%5;f_c<y#iYDK4~@}&68&pvh(ZM+
zgm|WJK`ksm_<#}FQFN%bG$4JcWG^ARX}L?jLi<z8iVNoIetq-;YR1W>T+R*<W>)|5
z^wo>|72iUt&*AcVJp-;sPoPc-M)m<IA<blhWu_bw`@w3_1Rj|!H$x=Hy>tvrnZsz!
z5+HKQ6f-JE=d6!BC4z3yHL(s}nkVJdB}>Umn^{)NN$2(mUJcO%)+OhzfWXb40bK5U
zBCH@k>_wyY4ECU`o~?0qkg)7fW@X|tABt}B95zx*<g%VIJBa*83*eO9T?auhSK#V<
zzRo&JLygS3!1DbsQhW~&D%Wr1*=wmQh?R%V$?5f6e{E=oOVg$z!RVaRAT@HiF$&qO
zyPHSUfo@<pgRGqV$2^PIJg-PzQx@ZnvkR*+KEgYxRE!ye5`={%i-L~&KA`mLvOQ!>
zk`^9!23qJn)@`wP?>+P@<(=tR4pt(-M`|#C){Pf`h#qL#@1?C;{yr&Iqh?WMh0j=<
zD2@h=X_gKMM!<7H#~P5i{Dcv3a-K1?e{auQhO38oOzue)ReA|xe_*m|4ONdfBu2Ko
zau)P@Tp<milLD9%By#%^<e0YPDqz{DX=kp7Te9ik{B3HDdvVd}<f}hLku9u7dUg8|
zW2ktF-jAAWTQyI@*I2Zea7wa;TGHbJG&&<cV+@hzLd)N36WU0^QvjxyjO^|5E$T!m
z!5H72pPh6Jr(SPadY^NZW~JcyVUKgahz86-^kIE%>O)i%+cy!Pal;kfKgX9zD#ecl
z)`w%gaMXE#-;DZZ>2=kF1H@JJQt!c8(^&`S(~hV%IzGqmrv&GPKQYkDM}Iy%`{HPB
zq&U$?+s4~;rM=ha?~Vd>lHnv<APXob`m|K?Q}{&PY@@hl@gw#vNhrpWfkQ(~(O}uP
z;4gH0K}>4}<M_32lbdUN+m=Or2NA0FH-*ng*$~kl0<0*5iw0yTbclRhMNMU-*2j~h
zEp6kes)E>xRCH>QZrNEci<#Tye>YG3#MNun_;W(B`$j>6B}q2TNe=U^Rm`UxwoxC_
zLnrs_!jX8qh<k~t7(?g=9Jz_hCpJcx`Vs+X!ViR<N%591OtfVM2^Ci@mvJcjWH5!Z
zK6SBw6j?SE%SMl9bjwInMhrE5x$I~r%I-9-&Nk*0Bv>hDLOJLPU=Sc$l&9^4Is%_J
z^I8?lUUe6!NJi|?U(|Y);tFsPrTcvE(D4F-jPggKoDALWc=f1KjMd|x#q<x$d(g7h
z!eW{Y7onKPNjpY=QtPe^;LwQ(NXG_9Cf|X`2@A0`-95R=%_x=e%Ujdq#F6Xhll?tx
zMI&<k43`ZH2djtVE_s-4jD0Fs$@%R(pJhoN_bm2HqtClA$8oHcWj@I!k+^yJn^WRf
z(|J-;u#fOY)pX3)Ep%VHVl<XC>{%?aJt@M1c3uS^qdHo_-c|ZXe_q#B_~XTE)eXL_
zmCC&CHEI|Nbi<AB9eL8l)F${o#H9~Y+0mm{J*rr!wx{_1#R+J>OD7DefXg%}XizW4
z+z)vpqo`nUPC_Av+2>dx-Z)o=V2zpCIsC;YlvS-^n;ke%y;o$bGz;DohD|o#ZZLQ?
zn;MQ?hxE}Ngo8ZDak`Km?7Cm`)>!YXX(oG~<Bv@D2Wg3Nq6!GdF`p`nRkIu$J91>V
zy57&DsfJ{=90p>WVm)lNe?1z&#6q-O)`;JNr*x2$WUpUhEKMAq;|;<Jik4b7;uZB8
zHK6wEx7YHF`lKd9%x6q~_2DEl*8PkJl!|>TG&dx#f8OX4xatqJ#)UjvR+{M7_|2I*
z-Zk)4qwr?gc&bc0!NQDd7L|)bEETo<jb^QH*LTqLs0OAPX$G4g3k>JYxn#v@Im((L
zDA04hs0RakZeE{%P~T%BusF9m8!GI$29tJr3$RtXU+8W;-(l@!^~Y{jT;@qVAir?|
zLJV9<SuM!@IhiZW71r;AdtQ7{^j#I56UP5J5glw#?T05M>mUTfNroe~`U<q>d(O4K
zb%;>{Am(aQ1)gO3y`2%nm66Ntpu)_}ur8g|K<d`wvE)?$D8*<=7}e`mZh=9u+~0iL
zDA_oWcvV03cpAU+muhsBI5{C@a)^sZZAEcTi8<KK3n^_qL?{cgm&+?{sPmc;X9++o
zY`&XCdph`ewuuW4>m%OJOr}{li;;v}PN4R<g&gp<WKmqc%UQy1^p%Pj&}VO-xB;k1
zm%_Nwe$=A7oZO$Vmq{F$_1O=#Sl*HF=o06$nrk?`otk<!V#yHPz4o)kT*=rmHl5-H
z;!7eIg(a?@Ph{S|UApnNK%S{r?fT9+hNXg8lKQd7pD@8^$XHwkUfHZk*9ADW%U|ak
ze;Kc`oH%wCg*7hEpg7PI>k#JXHNH{w=9tVv7vkzs_xnY4HIMRiIa@`WdvF+v-B4qI
z(@;t_nt;+L{<fuFeXx09x8uP~llXPm&>OS|(ZCAR+Sven53Dc{Pf+aIk2j}KGGMNT
zXm<aPR)G#iS{blL>NvllrBD*yvj^_aj{vG>X(3{){(M=!y^vZ?x<ljr{ZH}Z^J3po
z1lhR1SNL-*ZY4)gXfnsuXVl^pq{9Ydw`{LKsxIj1a3xE<z#+e!Gn(<hDK31Gi_+d2
zir5vvT}UCP7xf`0v9mklv;@(lzhnHhVorYE>mv{58EZxvxAF-fp2&tHr{GnV#4Ql5
z-ff#XlIL3P#gHdw?1<^u!(I&~`b1_D;ZgWKd&&1^)mPx_oE74+&(Wa5ALagg1`l;b
zMAHm2Gnqpl6OanmL(dQ5nvxmPM+OVdGNKmEA3AF&zX|rk*#DX#+ly=U+qDnbH6a9G
z49g&P=uzR@gO6)$7r?{F%h^tvFo3R5^10839Y&^rmCa+j*Lg23`=VEOZI(8_64Xej
zL9&E`*bA>47(f}qQ{QZCo!T`H>btt^8xp-1duA}g_S+hgS2#3GOgZmll<jym#LmM|
zMNQiW*9QK9^qAqxI2?gFi)`b-N2O)|80DWVKa!@kx0}tvK=p&Vv~I~6XO~o`qM4B%
z1hDpQynW=MS#(*LA(2s92~=q9{RVRv+F3X@vZeL-86Wr{!NPi$0B#n-+Q$oQjrb^J
zre6Q11ZPQh_JH=@_W)lZE%LUO<HRJNLDE;TrX-@O{?iBV5d4Q(^xLk<s<XM5jL{N>
zuQNhfIYs2i@Z>2s;w&<e+l4cc=m^k+80*Pf(Zsr`BlasY6aEOipvCS8v#BW7h}&x(
z=3i$0AxcxS5D{>sC~EE7!T5YfnjqyMVVX8*w+rZH{8Gj~LCO^2WHz0DnUVUP>9z&S
zhl@w%IwND^moV8cB8-H#t@4q>1j{d7h>B>iU9ve7j>ZN65qmE7>N9wTNZorx=Z}*y
z9r%#4R9!Z=PzH0(q4QBhJfhn}M6^&^aJMkER@<P3nnUvDhOvaiPa11qEyPrdx%B8#
z+POzyB*+dpjDPs>2#=P3|3W}NOnXVu-~dO!Rumr+Kc$%^q!VS3?H9afJZcyFF_C5Y
zyf%y?O2&nIuxI_1e6)c0G^%R2C|`2dnhcbS2sZErr%jJEjE+HFVd-k@_QD7!LAOJZ
z<jH!doN8&t8GwS--eOk^k*RBVaPhzfj4p=an6QVUyaH8F?Yj*r2Zd1ZPYJ9H7b3mo
zAoLM8^<bjyv+GZ4R_-6&o==bmCAD(C>d1Rcr~Ue;0z;~mraex7f(8SSh$}e|7*?_W
zUM6zbBi^ugm|LC#X>Kp4fDKHyh9&Fn_ps9~_96#&qUU<c6)sLitX*`rdhzN_Ql!ri
z``=rkP<s4@r9Lj7Z+tvlSX`RAHDWNel=w|MAD1Q0AIBU~CYq*m&FhnPB6&Lc0clWi
z#B8l#2ADAg?C~GQ6u0K}tG@Z0{~%m)ydR-T`~=eFg<Z17^C9R3PlHjhrrpo>pYoj9
zb}6JUgt2L1C$y(!xbg51rfvYODQSr*x&_21)sB2q7kC8i8H>}u&?*CySx1;fP%N3B
z%xLCLP@9IL&nTj!vP}2vuL0F7G(iRkKe{DE!F;{B{j_IA#Y*`8z$Av?G&a4=g?wV3
z;V-7Kqp|>E-8Uaw=3D1_<R{c?Qq-n@$HP3@xfB%6QhRh?lhO!z&DMKxGocO})|=1c
z@WsbX3nh9y#I8;8>EZcc=heEt*r#AMsbco<<@n`Caz0@PnZ3D#N6=lq;)n1NY>mA2
zgy$f^PT*81vrj;<^-xYESw&V7#u0M$AZXQ^_!34JH*OZ{fb1ZjK}5bALogQ82@eOp
zBaN>5+)Oxj`G8WgrOJV0Xn=2wu9Hen@rBP=qcSaH)|sP=WfE{4?zr)L3H@I8`VnrM
z4;>7=KFy=ZdYQUh#eeAEA@|q5%Qc$S965ZR9R~jnPW`_BBUSRaKAuXp2blV5GR_7Z
zf%|irB4+J$Qw@?(8R7dvvDOW*j`hoN41fBcv9k7_>=twv(r^vX<PrU(Zh+vk5P7s6
z=(sU{ocTJ=80?FT8YJ&R!;5YByLDYDlI0_j4*RUK5^dPi!4E?yR9=xh3&okVjT+=V
zd30I)t)aD0%0qmN;0^d#UiDB-1r>Q)cBhbg&dv<_Qc-0)anNVv*$U)rwTU|{ZCwVG
zub;CgCJVi&&56?$NkV2pv&}RYtMGCjNCtCfpDEdp$Am_Eb@nlIK39~L4{Dizl(Zj%
zM7^W%Q144XkM28!SPcqUu?(U>Dbhn0qTaF){&K$|It-Lahoj*kR9(jo8LZ$JgOTHY
zdkldjZK(HhQiv@8XFYeWvgN9-|A?Nda9Qr2Z*++mPggo!4ic<4j;4{9$#V4ipc=}n
z%#F`8Nh~B5K&F)@i;iuK8jqOTa59N5G=YPrbRZunNRg*!L2}AJWy;-|1Dh^c+?3@c
zZc8F!`^C&U#Wzz2wXhQnF-%MKT*x<|(kCPCmn7eJ`0;6ZGnUxJ(dz1O|HS)Ay7X_(
zMkA5z;(<1bt&SXkE2%R!OUjR9HxV3u_Feq5IG6K!>EI;MH|vj)&CUAaB31cW7LT>W
zwY2btb3P*O8XN444AzA1*wLQxqv`gt={DE*g7JpsgXGOs{%va0*)+AtjD7j`%~B-R
zsn&jmsISwZfAO~0lul{m!R<nCYU=^t<?hYSt^^q7ayX`GUFB=UpZx=(uSu)kvX3t;
z{jTYXHNb?-cRTJp&s<X#nT_LlBTK%4?q2XP?)PWfwkn6-ZFWC5j2^1~(U4_WOlTyf
zs_c^<Os_d3t>Ea?pnh7oXuDNSh^$)^;$xp1;-;VZ05(nV+CaO#Z;0MNg0`0x?aXqX
zPq=2M4Jo2k)<C;k$G)W_2{R{Rftq<RFN@W@COc#=ay4^Qz_N4{Z8m1l{YjHi%xKt|
z3mcANu>(n1a)JyM^CQ8wFXa<u#p&)Q=-|`{V$U<uTI?w^NSt@!G!Z}ED-ZJZJX;#^
zxNRb+HQ|~B72{A6NWBXcui1JLEY11ZwW&wuQP=|CSEGYL%`pEWMY?Fmj|-ix3H}4E
ztI5?dvKm^?nTL;JiE333$#@O&x;tCVF?ZGu+}73!H{v=Crh?lN3My#o%gmpI@YPJx
zXeXGG+S)mXQ1&ROR<CoQ$A2S(nTqdeg^Jtr@(7>glahaab|F9RoLrrCK|!u&^VrxH
zFbg8WJY4YM)p#tiYXtP#+Mm>_@bU=Yr!YKyWsL8D`dhQL#x6M8{<d&_pdnO9ppGS*
zGof_0rq07E1z=I3pith1I+k<Chxkhpn56NWUT#8F_i=S!bLEMzO@IG*k1z2N)@Rhm
zq0?c%C~|g)QP6+bd0G78trqc7=E<RdY5=_Z<dX)ZIQUoJu?=SA($w!|I;dBr!!*#U
z1xVvKk;i{<r*xXLxop--#P~rw#lRgKpK6N2^j~&@XRy?L!{;p@bZ_Wzl!O9dxpA`c
zLJBL3=E_R_dsIq|RY=-PXUvFbzmoxSxMGA51gDPt{mr%EQng-mTf#Ap#3H`xlJ_<b
zwoxJ@=%1Q_A4aOyDDyu*OqDu%&u93=fP06;tKP(ReO+!-o*`=J;g<%74hym;hPwf-
zHw$l;a^Z{kFb&}eKEr=r>8_$5j=-n`PdCni6yKXA4$)(qX(FGq04C?Ng`oc+To`Df
z#S8Hipji5MDS&YmV}rz=^@Z2IoW$D><83(lnE>7)$x>nJ-#;os1698z0AP!wo;@_Q
zA;f$EXckbA;4?B!2L8{(a?yY|#040~)35#b^XKZjpZDM$h{mx83Ta`r*gsR`YF{?b
zSg6Gr4?ei7Cd4$eS5F@RCA6hA#s9BQe4ya3v#bE0IE@^{z57H&Gr+C(09;ec!{PL^
z_@yT(fGVbWLv|oD60FKfX>L%r#746wOZHJrrIdRrc?)1103KoxsCI2zB-xD$T>y4I
zd|sD<ZD|L{F(=QW$-i(IHHuMggMllmJx59K*?eHYnz}8R4mNEPL~+3`X^IR2&GI+<
zi&7N;Av!@eY2UKmLPbvxG67T9QuwT&nZamQ_K@EIT4`pKUDbrebj@oS+mcdHa()rj
zj~$p9()px!{T`(0Vx)Nd@~bJD@Ddf^*T#4`z>T}&F(|JvFoir$3x~QTSK+Du2#I4~
z5!_DX&s3QQP^}Z`!=@F5iEt6uCcwS`Lxp~DF9Q9z^n8RyAmvdEq$0a*OIq$ZcyAh<
z0+zvjnmZ+qmp%udQwzoH4o|>zJ@lA>_C!&4`=rVXmcUs1AO3tkS7%`YlX*jMJ;090
z>d99H;5G<Ru<D_@*$Yx%0mV2`P{LzbR=7R^Q(INh1wmtj43@YHpyyxfAA@OWONHhp
zH%H>2h+p5q6mawo8T}g=EXLHv%ntw}*H}(G6{95IHzt_pWgL`Eb5|>ZQHN0xUN3<r
zGG}TcWdRffO58Vv{1g=D<(B;`5hlaA7I3DP6-b1q6C>2<pSnXVDTPj*C2zNwzV`i|
z&6}%L>&y#p;;fzmQ?!WO8USY_$+qlqW|&<!CCj3cs*!1SN(`%xJZ9@LP|+zC>zx9e
z69OXcn{haSp<n#;`AQtx(MUA21~7#xo^or?f4B__l4mVgruBFXD)AEDBBsUHgE8A&
z$xGTRpDp};_5cnEi6BwmVfS!Nw#L;rp=6`e+A-DS@&2Yi<_hz0QK_UVy{`5{qa86#
ziH>tPYMI3=SwE+qR?OK2?|}g`NMge(6x+xT*zcd^F+k7mb*2`lxJ?E(k(>UGVo1$}
z$Ns8Mg;ef1TNmd+<>e_8i2ytb`6nfl?>QKl9p}=&7aHcHp6h)sw!fY($e{K`>_Zgo
z5G7zw<bA;1?71AX=n-NGcC|A+1B{c#rBBKiEQbJ1L`77g12s<vBlEp?xP3EY!=vZx
z*f}8~oQ=dmmYWCO;&On`aOp{U4s_c40SRKTRwYx`fsJbQhwKetro6MYXX8yHPj0h{
z$brP4LR6DT2W%kYi(27sXYz1TjOrAhvn}3yb{9a-`iap{gaE$Wbl&UG`Q~w|>!@D6
z+XA!s3E)GP_O=Xy5U))dKpo_ob{Y_~j|i}VRFR!w9rpTHHyH);KF00Fe*!4aeSYXh
zDCQeoEfTTc3t+fvMv)lEkQ!D<?n;;ptXZ4`<G9ryG=z}>MXrQGQ9J!o1>W=h-pKt%
zQ^~qPcmvKEEXbM-_1MSYiS(=v7(C(i346`UbKE4z+><F7^){SP3Cpo*XU$EdL;OqM
zDgX>+5vMULxU~bDRK5XsNQ{qjX+9uo?R1v;L!%q}XfVoQh8Sth5xCt^a48j?pJ_sH
zbrq=TBI6_~-)ptB^&-#oeCgk64Y;D*X|$z+)EwVyNq<nBebMi8Qm#a&Kq>6k?5cef
z^XjWDix#=0TaQtjImytz263D^hnxk8b4{aOhRWVU^F7x;N8um0W?aE!E_o42F!WN4
zkP5JD(r_|-oelZWaUz5kKd=qxAUG0QNtObh&nc_Db&*$-BN*j2Pg(4uJ|UI&`d#;d
zY)RAQ%r1vB?KP3_K2d$25IChU5@C3ql#n&IkQ0k5d>SPGy_)HJoWAEhc|EfA`(X~h
z+<2t@Jabfke@1Az-A@eWl=&0)9?tvu40K4-;Yi8G<1Tf0wf~=j0C2X?kjCtn8YJg^
zDoLJw4UGxIkp!W#uuHp|t#<|RAsI+?l0+-!rAiqTf)?7shrf9Db#p{|y>RpD2AszI
zpzKuUiE}M9eo-c1KAO^!@9x_<^odT)7YPXqKcd?ojUtuD5iC!bgotObh;qq^*3iqW
zr)TV6z`Fsq+$#Z2!126>3nLBT+ity`3bl<HZDgXXjUb^AFl9Q_<aMTM^0&iDv+r|R
zyWujZfEiI)_9n}@db=~0E|=4UO6}4U4dQ%tb#6|ro92Zw7>*D~Ow{m_E=zB9+C}u+
zM=PwUt3m?A*?8=4{Rbbb>zCQjt5tESgRW0}E{0PNP~1NBaFnUyfqS$Fz#}&NGnm>C
z+&pGPQ*AO=3Rd;QP*oS>?$(@8REKcX)!`?i?3lERtJX%Jm<@>6K57U=H*S8bEAupi
zxWikGr{dN6en^~@4$)0ks0^!kJ}gO4$c`<De%ax$jEwkJ`gKePDvtw&<qc4<cLwJ!
z^L{ItyP!T%svVOI4~|c|&*Mzno`CKp#;&1FiJJXbf$9VcRoB)8ej9B)*6`eq$&F&o
zdS4nUdBQHm>%Eq!OA_>)F6?Lul8D=&XFXr7xgKFAoJyZ7G4ZOxV;8H>AP!J{O86Ph
z0BD1blYY%GApQl1aLAu^m;726jA9&q`bp7vI{jhfEBLsf4362pAuUCQPh<i9-0Ere
zsrfV{LS#ILoiKzxFjSAOUKh+EaD+%B;6cJNg&vyj@W~^BU-Y0OeqCk$9@W4;7o5m2
zy3N{RFSC!jYG6K<en7AIM>$r>KO5o8?S>X%vrJ#cT#o%hS-kb%@T&PKSoWYt{k6Dx
zI57GiBF-08FCP*iAdRJM_W86uQos=;?(JkKh>}-I*Kt-T@VQ)$9RJ<_{wFRLdDKVq
zr+gW;ivyRS7zxX33z{AiQTrPGrJoO}M@D=|=i<>JGg^hl_bC2=Os{ZM^YG$N+}bKE
zWF$K-ZW!XG<$r!L0>;8+!+K6q>?1zYB(x2C8b8EYO#}^hsmp{E=RRTcmriuh=fmr6
zvv9ehcV#M`ue+9z6-d4t64HfDuHr8%S$HTL3+p79>ECfO9}c_*F=04er8HWoG{llK
zUJycNL@#vFz4N;{*!%+;-vd@_>m|TCcq@w)+bH{TRYBq)>f@EvCvz1}vi=g5h>i5#
zZ$QPb0%gu2&&Wv$ae6K2WiT7jWN`*eJ-5^+rnkW9_N#3w)TF;Oj$qa-_BJMhCk$8S
zYXCwWxJ+3sQA=yjLX56x15n)Em>73D4`#MFaL)<-rgCEcjHyytD=92_R{2}WA^|4D
zE+?|%+53d(4|NuXd@Vx{FqV^TvMza;4eq(-km2R+>+;N;<$Y?~SbUQtB|#hOen0r#
z)xnwtLumkl{pyyvAm7*KQ*c%QA4~+!Iencazy#x#L-?`FL<#xTqI~s(ruqMA@2lUc
z+@fv)k(QQjknZl1MnFWRyQRBJMUV!OMvz8Ix<k4<r9rw=n!C1fj^}*ebN_&Qk3abE
zu-R{{m}|~4#~gF_u28GZeG4r<V;&<E_A^lCMiaqRDbdUj49{L8`p_hhePcUzC2NCU
zsw*0P=Ls%TC`r04o$n<k2Le4T69F#|zf`UFmganSg9epGtVCR~v7PSjiW&E7$0<pq
zHXMvP5b)coKN!Y)2NNebTHW<rJ*usRu1y6><xG3e9T$C4Gq@Rw9KuETg1Lt(=S!<^
z*_o9yws$TH>4PdSPj60p4RX%L4@x(fh%rP4VkQJZst9<E=s83Wlp8k;Y2e+6G_80l
z?&Lv8n1>j15RU0Zi#hAK-cecZZDTQ)!!IBE6*a5(AXfnhI7a<MbLQ=qr5y6pbDE?b
zCW&_l&x5){sg)TmQ!hZXA+k(l_|wC{*(k^y_^dGKiiMZ26WLgOFnY*VM&u!eA?0y>
zGO^tINVzW^QqWoCyx*||Z#|mk_1=af1w&sa(Z5t}^Xk|T1fg%Et+0_--gw~9SgA8m
zS%1rbT8*hhr1{`#5R;MX*qHsM6)maZx%1}IwdD3gobnPiZuV3O_o(UIHt5ccuf{tr
zsPxIxLo)bJb<Jb$Hu7;LrL~&qd2UrrBJ=YUg&7aL51RWyz6WzG59V0?Lj^UM<AqQD
zs%@_0`S|5_{-@M%9;1wSSj6c%la_R8v4*0?O-vN9xXeM=_;2L8RGbq~i93jQYqe~H
z(a`nZ98%F<<d^n$(<9U!)0?h>AmHLrx*x`3?ge`zB_d2kWUN*-GVX<l{cw0P@jVTw
zwQjY9mrOG^JM%X?we#23bjUr>F)(rTb!29O%h8^w2}sj{(P8&0tBvnNlq8c5+8JZ4
ziDX6z!jwEKHtwvIOOo_xsgLvsL<h3xO!_YKdrio=!^Ks4qG84E&Li>saNlM0coFbm
zgnoK7eoa@BM~EUMCy}pDO=MZWOu~ty8S_8(W%Q9;d9D@Rdfh(M&>8-??R9m@mW^@g
ze2E3l9fuGm<=SX+9R6$XOqJq|mulR>S&wSiFr0wa9Qj)ELh4N`jj*z_7%P+YW(d+M
zMwEb1yCrsr5_|UuStx4_IAu}W@R(HyzNJBVeJo4A0F*$iXWdFvT1X4fR{o)uJ!hr_
zttZ6paRn8Sm|(w#oRRLXZS^sarE3e}9MsVhnRmK1Kw<H^7eW!#=r?&9zsvK5t+{SF
z(BSnGU6)y>>*wZ-=;XVRXu}9iiqjM+U(!N*I(It5_cvsY+Q?o)x#t*X<qMwBzxRng
z{#C5PN(6fhg$Dm@8bp-*O1?rl0`q2l8dO^N_q3+?@kq^I-;jW=yj`z+$50~rdx2oD
z(VjuwOK|*Onhbo<77lV$fexYe?9rTif+YCOLZbbUmf8Ak?gt(lom_9_IzY+td2>C)
zn<x7=F;mchB%A^13UqVHki++#HG49W1Ssal-phsB=Q(U&y2p;4oA*IOu<i$aRU?Q9
z;q=u_ann-Jz34e{%W02{ZRqP-?>E|U3XnmE+>*N3X@y#!n|+=iaQ%qh)_l;zlR+`-
zrg7NI?bd;@6f<XM5YQ9rf+f+P&E4KLb9_&d+d%x6^~Qi$Z@n@Mi1ki#9etL*38|V<
zylf{MRs<==62XS?{pQ6bLt_&`@x|zA_4g|b=0u&AxzB=3ky4%I>YqOUD2OpyoEp88
zeh|H?)5=KR&UX$-V95icF*2<@jqV=-8GXOWEGS!5%kD1H=JfoHv(zHRTNQ=(Lflyg
zI!m>y;z2CHA3{#@xjC;Y?+VE--f|LV!dgEqDSCy<j{wj0Rk-I05a>|jV|BKIO8TPe
zylDN|E<{}BvQWYYo78zR<0f$D<hsIUmdHC)eL&XR#G=^eK0hgHJpS86>l!*$gf+_c
zK+r;Rdm)*lM<pS2f;1!Y_>T6g<efxd$|2UQObOJDpQ@`r0i1{kcnqhm&$WFYn7^<i
za9D$$u5tzP%+;_HL@;>LTadt9iLTv5@_m%oY!*@|OzX_)vnbCp3J)?$?-DPqDn{D}
z{FP6ohhV;9=23*^;p5|owINJAsinY14C;rw+$8=^sp&ang1zvA4uB)oA9)n!Qb*~K
zK)vsY`9UGaL9opyI0^`DKdBQ#@LjKgRHD|$!tj0{FD!e@Q;QiL#zR=pdH=yd@M@5{
zy({IQ<BDzO)FF<K_wHBi_}mgTU2~$tOlWN6^FC{}&}Vool-+k*)O{z2pkpf0h@L!?
z5|)n7vV&Ehef<*yNmT)B-X$nw2jV`hL&Ff!c=T~iJVlW#xCW_YYPDFV*k+zup!--X
zSk5?3K|!$7{oda$>9jU+2y`llH@F`_9_*^_G?U|PUV0q1L~i-%`tb)yJYM>xEaMS6
zai6R_=z6Hihf3e^GKE_x!dQR!>>Z&{yfWNkY!PCo*tWlPG-q%UMh=y)Z4)&7f<RwG
z0+Jq*-a}4J?<Ls&ITdqh=;ngz?&j;P1IbrB%yR<Anhj5USsuo>Fs2?YsyF!3&J&>D
zXct%Khhb8~lFf^?QpViF`lyY=!Q{t{xG%j8=r!k%p1RiCs^bq*vZK31LRM5pfctw7
zaUHsFF+;!z#IOypkDn{FA%0LIDOO@vl-EiiFXpY~lJzg_nSO*$r~PJ|;x2~Yd08@S
zao?WXfQK3?K~#8HgjzM*vrK;wLXsYIacjpbwH^W}t3Sx?%$~00Ss_x`a`NN45ae*4
zyk~raywkZ<kE>l3rYaIhdIq&ByqYN!{HLy}9krY9`F37LIIOT7YLO>7$)<WIhDC2Q
z`L>{m5Y^Qs(&n)uk-Wb&k5vkw)V6-nHW+wp(j9>{g{$J*m>~Un<ee<7fZm8rN*lW$
zDqZ92UShG`^Jt#Cju>j)g{8iTh|#c<E=)R2#pg2+*GuaOhVfZe<Up{<DfR+!{GPg;
z<39n%7t%n!{BGt1YVI462;VWNFO;o|zRpVz%;Igwhl`pG^j;5&cG)j55yDVrC?}r5
zDHkwy^hxcb94+6c>-5hM1U<svE=y8KL9_EIZdloP5MBaajQ((@RG%~Zmm>Y8oOAUg
zzV$`5l0?2MYbnXn;W*!&K-*Oe58=i9{sSpBmKUrRk+j4^#n4WI3P&ZZ$8rOFEU0*@
zFYFnq*oja>g*QR_$)J0A4qu$PCsornqPDvkUNvk+4anc)7EBkUr4aSCN>YbPdPcF7
z9N{;*sV2iIW?WlNizd_`Ot1R5w5*oG(X=n&eQ08Ys0GZG`a&k6&7(7izH!F@VrMn=
z4@8GuAA5Z(+*k<Nm;gr22J9mn_eWG|U@t`-V73|CGzLB2OrVx`Im;o)I8Fd$W^#b<
zp<B8deSQ9W#A6!aCU(p?X_*on@5cOTPQOkgLaK_+CG%=Id@pZ6BZ%>!EA2jx1_|xG
zx+C^?<eq?PXH>x0ul9}SMMW|4F`?g75?rf)9)5tsbDB5t+&zl9VT2q6Z<!LrpqqjU
zO}-b6zi1Ss$t|(EzgamtT;|Y89za&DP895h;d7I6d!7=y$&)W$e^ls4yVV}ay_(tu
zUuNNGh@2@Jir>W!E7PHp)MS}X%<S?85`U8=GWgBsV52(Ft70!lTGSf|3b2#=Wx=XF
z_@YWHj(PSlp(u~`Q9eAMaxnXfdr+1_JOnR(4Pq>6tQ}TR%%_3XL@7OENwE+>wySF`
zi+&oC;1141Lg206=Maz1(_+zhVL0Og+H4pjb(+Npm4Ox#ueS}*5#2Lz1jOI(e!)(g
zB2(0hrdbLatIHn^^}Nb-RjGbly<*+#%BWnI<5ia`!M^-RN-^C~MJ-LxuD&GqS=p=4
z9pB}PLz3GadSs?(^3zT+QdX39aunG(NuJ^(i!}5Y+V^n8h+nTJn6~nbh~01H)^x)d
zev8uoQL?Agu#6&s&zdbt_e#QU`C@fN(&)MHc^hdFYj+{tEB?0keXoZpcfM7qU0=Lr
zi*tk5bC%Hht}IP_zw&8E=s=?XI`(DbQSu)83`uuN*d!Ujn&){rxo;B8eO&jlH<5$E
zMG|gg&l{z(tf)61`ts=3#gfCM6y4JuBH}f-uUZLrtA0w390yLFO@N<j4Y;|Cf@Kwo
zfL@^SNmt^o9M^0Hf@;{L0#P6lMdlGV7RDt(<$C3l_K3G&9c5(6QEQrU_&uVZAc-yi
z?AMn`aU5$V#mUN6nc11K5AZ{!Z%o73)q&4s@-3ld+v%i>6}i|kDtX^UzJ&cQh59qo
zEfWw#nSz7f@?K{$IIl!j?Wwftns-kmR*KnP2-6zwxg@T3^kyuKG>My0jhbDL1Nu|R
z>tSNt2N-#ogef^r*2~&bQ`#8}#i{DP&suFerym^?k_8>bsG_KUV8MK+^Tzo|+hErI
zqRTDT56;AgopmWKTxK-C9~Qci<)q&tj2%VTV&yxx!y_5r2?|C^5g=?Lrfkjn!TiI;
zX6xQtSgHuv@doSfQIPmu9j4Z@q36pq>CD-D*ogC{rF6wODzuU8C$3f!O{o<OfzYub
z4zo@<;rNyQmZXiE4iXO|{Bc|Rd}ZlT7ORqal?^Lu_-tlH4aZRkDayMuD~hTvh9h(%
z0Y)DsoVJTa8(a9xWadRC6i(K1tY(rp=~)xJ_=z3265w+T^Ng}=1a?b(BCmM3QM`*g
z^@hmm!lQ<T1#2sY;|i05l_d|*vSzoFVdu_5h@|*bct=^n&EWmx{nZ7u`TY1u%Vo$a
z7=#yTds#I{moQ`~$&wuFq!#m@<-YV^Su&cFNcF~NY!;ShZww(gThV;)N$_?iqOP~2
zxf@3s98XTvP4gOz>t=GkSM7}>2{D|&Ma@Bk7HZ;(Hw&NxC9JF#(^Hq0rAmge--Ye=
zqE><lkNWVfVRERiY+S7)gXzdFH={{|EgP|wBAEk;UIwW&Muwj)QV|+>sh0*_ven0W
zaq*^lI#P?MsZ$3fQ}Hh4Y}|C2liaNWQW`-Hn5r+3dfF8+Y+z^l6M4d2&Bw3P=v5Rx
zPT^5{;wk6o@*6L7R-3_J4-l9;Uy1us3J?;86JZm;Wq4C##fMtwZ*R6%rFQ5%mY_4m
zouX!I!F%OEn1?{G*oS}DHP&yTBOoMhO<St^p;N`64a~f2yQ>Nw>ajm<UyuSD%p!;p
zeYPh;_i#fKRyf2Yb<m-L@V{xpabSkyQOlQ~>l|2#4ae@OfP8;yGU)4@)q;<FE_}SQ
z1=`#cGC`*uylo_#Y@ll5p-DgP@q`@o$%y&aE(!DZ>LOP65QN=WdfLJh&tUJF3n$)a
zs+rn`X~Wbj`ifj?wdx;oB<P}0-Q4Wm-lW`Yq@3lE-JIPnuiQEe8hTE6?@2+i_~@T6
z83*@B;jq;1ol0A?IKV~UjM}9X#$CJke0NE?y;?iBpzm8{VYqF0A$NaF+RU!8`Blwp
z==88NT<D=-EUx;<_a^84We*csXG3DG9T=!l76hhjB&^#$aNDR)_Eu(Yz_nRb4A$Ub
zCWxqbDnkeIhx$BBe7+c+HGHH+_bQo5t0e!K33rbwTBm$goK&~%mRzD+&onyD_#q83
zwyT-)Mg{<Zmdehp(D`y!?6D;t1LCkY%T|=h8Ii!FI8ngvG7D*y)iHTaA5+PAyPD|h
z?}_Gy{J8itqq%!8)>$)d1G?cA;L%MPd?vEj;ZsX=@xi|xPD=|1P;#-Dua6g=3?q9`
zO4UJEW6xD>yArann@1kJtL3B0bddMObY0&FV6HhTe`iuN)XG2gI>=1=`sHimn4SDG
zOO^J|FI-aNrZ>D&txV2wKC$<pJQ$it8*k^<%+W=vtiTfMd{)sVrMqIa#aZ0J)Eu50
z?7nBQ^wrI!DG|dtpm4H@@Lr*uNw8+pz81(!$iUo($){c*W1CBq5cYZZbR73-w+BeA
zjlT1>@ZI9u3;Tsp0S`Zf4yF}3I&Vq#9Y>bbx*m8HMUd`wd6{PQE9D6Z146i=VfGB2
z_)}JNywa^=uK{eVEzyK)sLhF=K;g$G<!jtDlKm)!-)*y7^|^4(Qe+-ZpU+u*K>H*f
zao7)cIt0%z4@XB*7qBHUh1$8X1Qh1qPD4_>@gBr=xTcME8O}2o;0%>X6$kbodZ_@I
zIawGE?qo5CcQgufjx7o<Q=StLp88OUWb$@X#Sg4S?-AC*wr>{)waDc#k`$lMkOs6?
zwK!a?2Xj~=-)_I@uGU`sN!X0>tnjz@^bq*M34q;&N819<h$y&zl1j{;-YZ8e1)g?`
zC6WxP^>vpqwWP&8k=yadF+%efw}t1MwkI!Yf9N%^K1WFP0Hp?visKFLQcmvfE(s0&
zQ-r2H9UJb!u>}su%cMGWBu*1@#=_xo)z9zbz3%A#-fSn6dIuyKh<(i<u(E#>6WVME
z$?f%`yK7quq0Q&6q@7jE;vpRH<3TBl&}9J4jqcC*b6*<vM&_chlB5RIcUYk1qE=r@
zOX}9Yz3NtZnK?nfXuK88dUvcTbiFrHR0!00{G3!ug@v2!7z*DFr?1~OkQO4dY<wUO
z@BSL9nQJ-8ZtnS0hOc-^Hd|ax$`2T%UX|g`E%feTkR*VCcl-dHm!n5k$^a{-`uyVL
zQ>Ul#2}7t--_JCE0+#4Zf32O4C;}ihEM95wI^N0ZCeVA$JT`^J@SYXX*!B)L2i0R;
z;1yo<*Hgwe?PJ7oyM1+F5&3?|z+#HK?JJqElS-<7U~7`_E4CCRBW}FEF)jYRV&M%{
z*ut6?R0tfiF{{%<l1j5yX+Tm`19eO!c^q3+RID#x2WztXg`Gf=0&~NW!Q6V0x=o+h
zG%=^ev^w7L!U$TSPO1ASW2xZ}BzavJCfA!|wYmhwb&%SW)2VazEX3CA>(e`E1o@z7
ze+0~kkdPMvi=Q>s=X0qMnvg_atg}1t-cZ%Gpza27nMQ9NaEY`)z3Z%5F*l^zHKK_Y
zgBOrf1NA?649*0)DGJTd1^?egKGyHUOt92{Amv08IojVG%j*ay48QO)ACpH0)dX`d
zZCE_K)r&&Jf${@b^?Fr^uP+{K^Nq3aZB*=7?r{c}Whrp7&PIy5j%b^D6mx-%aS5Wb
zpK1WdBmf?d^<3uBmA<epKX|_Fell4aelmww2B}r_g?;l5%AV7+aq-R0(@6*9cP;mc
z3@%kVy!gNInBXDL!X$)Kv7REVLz8$oYz9&dGQmbPocTR#oMk8d3K;$}sTK%ENe;Y*
zhRExKEiG1*9ttDG^{ofZ8~7x<-hk7LxsC~DnK>Sz@7F{ELs3o^u^H=Boqu`nL?DV1
z?cSpa^2VVi^0(5%aF@VkkqQR1fwIo&qQB?`Ih4?_G%fu?DMx4Xkw#yj<sAdy+EFmm
z4O(QvCK`Yh`X7{tH?dH=y8JRHgq1DR#--y9@QgT6rO3FFQaw>7<MA{<N)tfgbaVNy
zYyt$p@QV_y@-dvx4e@724pAexcLmSo4Vz4WAY|}uM+PPx;Fy9nS3BB2w;Y&<QU4}V
z*tM@YhK1-YktFX2(CcBv1F(3P(xlrk1pt{uD#W*gEEMmB0K^T0%p0VLW(FjULI24S
zS(;={uZ!b$O!-)5&;m&3n-9R}AOZ%2J;(1Ih9q%^c$FY2Kc2e9dtUbm{jQF`XI;9$
z^6yk4OYFtNmtdYD5H(+QSgWlsdRwSNKnI9?%3QJl({EOZ-Y5d2M%g+b{1Qrh_t-A(
zpvz8rk_#a!fIjYH^B3clVf>ppN<J4O%N@7MA#<R8IZN$!NzP%V&t>KNngSb8#peS+
zjK?PJA^7PGzAgQej`VG|7R%BL=0Q3rE#yS*uCN#7$Y4E|fmDoiaNYGU$QP0`+68ip
zfURMReuozbCNRL9f!-TPp*1hYJ^^U+W12VokmLwG=-Ca_BArI0O_S`};Rr1UkCov$
zC>Qu<8i_5P*A@KN+gKST(9r6|G{NHeALJCgOW1y(Bmf$IxAKZy424IDVnR^yu1FEk
z*);y9*HoCpZpor?z6wIq5VndWYfZ>A_j9S=(r#h$H9WClEN^>*-l7m{o?N}ydhdH;
zvF->vkBIBhr?I>Q;TOsA5Y-aLEqVwq$UU~n!pHA)7q3hU2-Tp%90=&~YLI9po|l^2
zjun8K2Z-o^B>=f@FN$uz+AIV3!X@F&BTDO$cb;J6cWbr^IZuF`fR@wP*X5T4EEJhN
zy$wk<#__wdd#p~<A&6{(ym{Pnddro&=M`B_q@EWa13tKY-bm->FnsV?dC+R9Bo5Xc
zklU-IX%tHzux`Vi#ScG=)H^6OpA4{qhiqdwnFWyUmY6x!+yK3!UudiXwA}sXe9ev1
z?eLq(?GYHMHIZ=X@1I*xEi_zd<3XF_buoD2(Mgz_ZxA{NTVpAo@zv3Ab_`1WK`lxB
zR@*a{m>t2J8N-zw-{H*lolicOaGXfU;56R>XMW|wE_TcuN<ZT4oyQ&e0w$2veTT}|
z(`xgpRW|;qX~V)x<g{--=Pb8(ZT26;YBld<#_Dv}%mCz%gX9{B%PECkquuVKtuPN7
z^Ez&kK-!OhENOvLyuN$)cz0QnpCGYvoGNqO(%ZEU>(O8IpCkoHe63FvxI6AlHRunF
zvNkVW0+nAOSw!QV_E60|G>Z|bK349v?Pf0(se1v$;5iLnLJ8}STDGz(#j!%u0Z!rf
z+ptKxo|+lJ)1kJ8h=gD_fe4MNVJQm=5JR|6JqrajfCj}kEw`2Tpk+*spt0^cpTp`?
zb^-5N*C~zIJ)p}XV68T#N9WEq*%BegoArP-2CV&#VM~4-M8~)$P?c~!Gaw=mw8>Lm
zxmnqwV&MQz@-+m@`jc^R_nUdkJwOxx_L@qo7PLfW5Rf#zfsn!38fUURuR-B3&>PwE
zj4J|}JjjfhE;e4|HHzn(oM0DY>ou;=d`7}Oz|pjfEQjQb_q_Hz+%#qPqw}I<_m2<|
z7UZ&L-3Zevr(<p%X&4Hk{wQjEliW1(Y89NwbDv#Cq~Sl-7k><2GXW!niN^&)q>k-n
z1LO!m-?Mp8mgxedDp){!Ex_-#d4Y9T5on<7R7^9c*k6KxLd1sS0D#Ch-`*+Rbog9J
z!+hl6z`9-bxe9-T#ifwpI5$pz@ZoyC_U82oPh8cPL)@78%T^)ACGGmGb8;msgSYRy
zfG=lvlXk*iB3Iq#%>-0{LRbOk4&hFv0OBzov_X@w(@geMvBRMBa}?tyM!Xhep=cb4
z(gkFPEtH1FOqC)@?}mFHr?-a%>Pz+YCvaJuZcl;MVfXJMxb_=*oAxJFgAn#nBDWQ=
zTh*9xW@}*FZ#@iE?sW43B0xCk6_4`_RO}E*cm%^FdqsbZG7-oGR5aHfR{Qo0eBebE
zw~P|6GU1g^lqa_tTR=pjfPe)WgAQSA6COE`UAnT}=v;kJP@U?5D89^9C;wUF)nP86
zEe65r06~X!VrWl51X}2k+@&zC1}vJA2lC^E?#BK*pare3=^5etSvx@UMPVLXRS$SE
z_uYUV(_M&78>5+Y&VFGztB};4U6=Lq5Qz;XX3`z7Uu`@zk4j&r;h8dqW<W7p5gJ_h
zzh{}Ty}ieI*vWw=a@_kc(eiVbT`g%i-kjZqqK8fW_vG+7zSh$MAO;oU2F?XGkv7!F
zFv;W*1XUb;Q$di!j)Z0(P`O$W)JA~j3-<GU%v&PmL7*vNDae02mPfP>9z%OB&HHxX
z_FSa#YK4XJU1$+6^w}FiYe-`yX<%@_H+-)*UYt`{Bk4iW542HE@i?#U+4W{(zbZB*
z_1MnZyE;j{X|!8z-x2g$eGF?0AG$poKWq>3oWPEumTu$yrgyHhLWeO1;UH?<Y&G6k
zRMfqg{Q~4H?RxFW-IXn{sckQS671o9RjtVT4zjFUK@iOdpQ~lkaG|tP(FX@0D_*<7
zCR3FPTE~8sTRe;@4epu#pjhN;-ZsJ_EaY@JYOa!XaxBUTn2UJ$U@#&VEm?ke>5y23
z4kG6oe()$oIQf-ZBGLjxasn)$?b9NiBufcwP91}%TR^FzDN3*IOXdaB#)6JFAaz}Y
zK9Q1-EoZ-;$y1#RbARd2bf&tT^ijrTJmXp3gtg3R_oh=`3H$`_8|7kqql1Nnk{A%8
z{9F1;G!~QWD<5Oao!)Mpn7uczVh2E7yU*gF_6G_BjCNdYM~oUCB|!?GX{$=(cb@<S
z54+OVJ&I@Al4JZDa-;w*8(|8<s##;3sU(!)!{BDa<)PPhShlCa=T{aa+ve}G6;cF~
zhlKV=Yw+<2DV?yvQf9>fOBqWo5gckigQ8wcy-?<W>-PQ0_IOd_(}re!0iPSsnY#St
zP-&iecdjRAVBd#BQM;c5VxR{&P|*0kMS#OS5vMx}h>$wYQDi&pt@|V6-gKp0$qEKN
z-ehbK8(I6{!A!EzYaY3PmkkQ^Ns4FF9#skfH5KP3^ZXNI()_%=%ac+Tk>CrjHSawn
zUil9i{MfIiJR>)g;Cf9n0)`Wu04`bx(I)tsJH+~v@&SB+XefHla53>~?<D}W>C<W&
zVZajK=o>K|3<&I2J-4tccICx9kX1VY$Be^X{r9v&h*Z-WC9IB_pgnt}62}3kL0AQ~
zy-Z%oK#Bxt9ITD0>h@{qVgj1}Ffanm%?sc{%Yl?(dL9Kp<8u$3qRn`)`w&VxTICj=
zkSqe{*Qoky%4BXdS~m0MjNEtG<d<kui|99+C*7akVvS!%*E=7S%f}Xt73x4%nFc5=
zuUuVL`TYu1k01Dc09qOGX#DG`o+11ztW;^q%MlrXjCm5m(I03Sn${~YcYw<6)_!ma
zq43SKh$q~67g6gPF3X}>!I+q4lr=58&@XxYBx=&qQdH8R9kVhn07^;&>un!XMPIT2
z?lYoVwe-r{Ws#dZvNMXf4;kNq77)5?0;IMcEQRg|^F`NRi))E%2e>a4)qUi0=0Sbx
zQbmAuz5Bt~9qWE1aAGlmAkl(v2laR4??;Y~z$SYKP^-|$2Z4L&)06eQN@u7AmixBo
z_N0-y;mqJenkA{{{+AhM3y}C&S1Lqiu7ZLNkv|2j5(C}m-@fW0d2Sn$_87QbJz0%_
zsAV(&MywR7qPD>&n}+k%s?f(fAXSsZ)n4Vvr+EgE76a}~Z=^hA0_gx&?76m{9&R#b
z7fl+b)bFG;B+z<iPPI_SZEBBsxlw^<#<BEXw(!BsauUi6M&fc=<I@dd^ARav=$Jup
zu-hy<MD=?HYGR=-HJEhjc(+?(<(I&fP0e>f5)QwTr@{SwI7R547+A5P(D1;pxvjB0
zPYpgHUW*lKHC+Jd*q%$>z>A!TVe<Md;}o$Uy1u%{-Sm_qrK=8*(lDBmid#uW1s}v*
zGU%Rn$2J^i(uxqJkh=@iVjOd@2)FnomvC43W|bduE+}$Y3xHu(1)I@j%+W05cYH9b
z=xbGIdsOlkTSxaa`2{Dg+c^-bg7^%Uo)RGclXM_Y@f^kmcoPUZRCb=$WkXWRc{8wi
z<^o3T)M~AU%cG&}kkU-x+0za~D6-%7yX5q=MtJ=mLM;=uhZ0HOy9G9u;cj3zHIBO)
zPb<BW2*1H9#z&5kW@V+;LRCP=M3N7SbNiMvoemAm#XiJbkZNi|v|xUOo+y~Sz)4x_
zjc-wx20?}NNK4RQ*$;~hSaA?}fdOG<6fFWMDDpvB39+Y_mK35FB_wB{(CMwKAyHeb
zmOY|4Cvx;#`+zl|hQ|55!JvE}l5kOpY6(b331G!&7X-}(CAR0U`sO7lx9j|c*9;uY
zzwyVHn)E@Ga;B^=fH2!PIzC2@EMsf@A<!f~eTmiU&3ba9*-bqBF6Sd{l*}pi8#me=
zHB}H5c>{yLn?lJ1xClR9Ahi}Dl^)#hHvT&0l0CS^Z|de#QFi=%EWoeB)ntgYqjzTj
z$@n`&Yo!7mF{vx%Vl=z^5$w_VT8i%K=P`!|{qa?1&Q0_^D7yUVsT(gHH_%BM6sIlu
zv>O&<QQ2lpv>}RDLehGk1M2x-exEZy5ECIo)j2Lif12KTa)}`8RJv+P&Ga&Wb(vDC
z>brOC<tu%lMiJZ%9@z>K$bAqg_#McBtBLv2nr$aFu73hVw*agv!ru04LS|i*EjSM#
zMSzKC4Zg8RZF%|E-9%xwC{m!m$mt0`L<{GSecZTl!*$~}YASJuiggC~&MgX)r@v2M
zV57z{5rz`i$XAx8htl4`y}ndE5zxTWZ^Xotg&da|R=R&(7-V<@JyHAc74=|ENty%>
zK_wjDY$K)3D<Kg3Q7VBD`LK5fphDoHkl`MU7Ijs(g9+FcJZh>=&-81->>a$;9N9~2
zDP#aO1lp!^b`UT0$6xymk+FVHt#%}=)sMt`-`1r6@Y8&VKgm6kQvf)H&;lnhaH)dh
z_a>%#>;Qw0Ahg%+R!r&GIfT(7?lLJlv3LopRxvo5!oa>)2K$~w^2{0JAAf<9n=-!p
z%l2%n_KrrJtc&9xz5T+jR#i?kJN8lx3wglv)UVAC{rNoT0(!-GXMl%pdFCeq{L%m}
zZ2Xg+sOA0Z5A}Kl7Y}Hj!-T^@U4peG6#y^`$ExYP-#ZyIhtF>Y8rjrx`|bM=i(&7?
zG)9Q~C@MBk7m3}gmWiiQfj_VUOYL0kl>pF)Uk?aTVIh+<r1>-xgnzHsr&?%i5I$_s
zIE9I*k@I~Y!MUL0=Zb$R_WT$-RvZKgbaohCF4pv*N0^a(RdzAM-^ZAWR+rB*>BjaJ
zTs7oj3}1mKwCqh!|1~w>mi2O}qfNAP=sA&HG}hCZN=%45U;7aret*JV*N}PqfP?4D
zi)^|c@P~%s;Je#>xs-n+8A4J}9|<*hw7$^2!k41e$E01vyYC(+A!G2(+Gv;6sUtaS
z4=;_!{;W67beP{8D;N=R6jEH$U%EH>*TNIU#W0KhvaT6zWw!9NxqzvCMc(f`c>J#5
zJ7&<KW#R<lQ?Ei~X|AvZME@G2L3!9G>r3$MeLX%@;)orr`^Qn82y2~Mb(XRl_%{!`
zCY+msh(v(*09vv`O<W-_?Eihk2@IK7o7Y0wn5YleST;NKv>UFW4vS%500CL8<t~@?
z-|JQ;wH7f0lln70sSTc{yZca0q-+M~+jirogHa{Og8&};HV@c&zsC|tGNSKmO)Y$y
zW*Qd;pcn&U$evstr`+Fv@oSY2>VqAHdZ(Q4uh;nr3}LP-f)93+a0~t(;$PbW6}*NE
zUQXW+Wbv03gIo=iRDuuI>dfB%wdQ_3j$<4c=@wC|pL(A^%-+x2*Fbo^0&9|afBf#J
zRcwLa&Tub4wED*#z>kB;;DcE{77Yl-@q4HK_>mZZ<GZYn6CoVoU+?hayMDWn^S0k@
zi2h$+zyxmoUE2V^uSx&>0zi{#zy~h<!H_D@e>{L_0GNFNl+o3H+yUG^RRDZY>!4Hi
zKSr1zOy!JzD)%3o>gUtVLP~9tkJ6s~;|`El{BKJBKcA9%z+}(EjXAm{DG|w6SoY|&
zSNI(sfdz?oA7&X+0|pAPWZzLMB=JTLAQtH?cZ9FqdK##Bo{kSJDT|qBW3Ds7TurTM
zTyLIqGZgLnY!8TBQq`!ao#sr{pUe(w{Iwef9bnJi2lgE##tfW!_0UXogUY1>jkYyV
z`p#Os2A2hV2GMMU*R7!go@4LhlQ%P$cQX8`+&j0!96pQvbrmu{KL{uh9k=p;RSF@M
z#7zmu023d7ulI>2yUegQ?<fgZEwb#3sK55w-wMtPph*cGKxD&7T(%U#6J`r|%jN&t
zccY+YuL@^mo9w}0wCIIvOMzT`=OPEDf<>si$yX@~;t73EVFD*gu0M8aDl%j<+CJfw
zg`t!tyKhLnUi&CKiSEt@9aFD_Qk+l(xyDbr_fJ!E1S<%a`y+Q$FPS<Tp{7&4^R@Wt
zcK(cW!4$#Ys?ZQP<rpfQ!m~C;v=V(?`D8NP#HA<SBH-^gA_a;3lSBt;AUX7>ZAy&+
zHmf|z8UF8+|L2{(!SDb3dzt^n=jRei{ck<|+!z1tm;da;pZ5H}_3+<%_<wyp`00>+
zc0bt!)&5S^nLu)UQh{goxEYzHtil2GfQ2Nc8$8{%4ARfAks<J;aZgNW+P#+9lh(!E
zraz$*$Vx$phV%;92UTh!pvo0ALWmc1JA^11fo=mp+uk~Lr%dGr(h1<84Hu;Sww#f8
zV%&i8ck$7CRULEBr>l=q{6S8oo85udTmyjm)1WsUpJ6-7SAB$;!|sLDSEvcRcC6xP
z$YN|&Jg5(ic(GCMd;(lC(JID&x;`i@(Aaw*apMJ`?<mpl6#I~t2hyZo(bM{yXP}3J
z{tM5ugu4j#{Kxc&qbxd*9FLdnrc0pnDN@UqIy^iIg1o=rkDor(dT<kEkq)_6I?9F&
zq}w3S$%o$n1?-4j0kL@Jm1EB}!Q)yRMKu7x|AYG`9Z?%V9lJmRI>??n<wv2~LF`h7
zB#|OW$Hi(p$Fu6gghyDN#UCV7P!~1cxZ9hBw#(X{jFE-gx`KLM^e@$mZwOIkY?m0k
zL4&K@Dp2SQ7~cJfHVu3Q5Cy)rOMZ~xv$b1pdywT06#FIn3d_?QgY6)-_@JTUm5#>_
zm)C`3P$ksZOR3|B0%qnKcp~0{-&*Q>(;LjnOb}?1Bs_UX{0LLv0=nMKlV+C>oczpX
z{~7o;Az-*3cF}Agl7F2fO~ddDND#kBbBZ+TtUg9r=4n?JG#{pVjZ<<uu4xl0ZKf?T
z3({4}x`8zyryiI+#7luC6hcCo0y_a3Nkm_tj*%q;(fVZCO{R)T7-+#%<9ap4OGsHD
z(z{dhAWefh^Lqt&+9L~~V}`tm#xTDfNWv=PK1)%aVG=D*#i(c0sl&S)=0Ewyxv%gt
zZRjOAQ)(|hL8;U$gcCEtX`=JjBny$I*5Ut%YeiFFb=)@|d{BsI&n$*r!fD(E;Ccw@
z{e!nHM<8>A49^$_V1HMbDTpMxirr9}B;cVKi_mE02Ts326Xw-u$#etUkJNV<E#LN|
zk(q+9cxO7N%!A?BpeT!tz#2^#d_t6M{oFD+bspqe-m#lK{q`Vc5Mc>jKjct4^N3al
zI%29O*ENVTp%o%Ge|<V_dXAH-F&Mb1Rt55F`%iqgZZ7xWQCaS444Qq3P`z)qU>4Et
zMhacIU!R>znFK^+SZ!<n2`*@0G+hT~NoJSRm(987-;<JCJVi-ivX<($0lFJ9>X?yl
zmvP<NnTC-o>D^IisJb~gowrUkIb}*m6-b>f3pHLy2C^f<3c~Q_x4jLTAb=jQWql7z
zK64hMsfnlL*OaOek^>W@QDCk|J{)VH4>clIb2pSVeS@a7Nf2{bk#Zqzg&TgXtUSz!
z-dEt|5Xde35qJ3Yql<DaI<-0k5|$R>L_S%hK$T{06OUdBS?Si`6i*o7%|g(YX0o2P
z6R$91eO^Y9QJOABW#CAz#m1P_ghEu%>Ao<WJY91DR2VSA*>LB+wrhl@@++qMyV-)y
z8{C)ic2BTzTlbkd7~bNPzd4D7aaB9`TJ={j1X;eUtT3QK3!4EV9o|8c0t3%QfMFv;
zb5zgd#y$@wYN(O11;fkG111MN7Uq$xzL<C>0+by&${mD_l0No67!zw1$pEPK?}Q{1
z+{-EE&<Brb&p?ZlPFC_aTUFbc7*9LQqi4CY?5s<xajy_hbxMp7J>rPH&lW?Ub3G@@
zBKp;b;?GD-j};cdFpI#t1=1!Ho0`1#HBx05rxdqJaMYO~L;ahUm}ez`u}Y?O&e)Sm
z9+_?w)p><;@6Cg4f%{&Pcn)B7$?Ononr3PZ(3<s{iQMpAh_96v#_eQ9#9ouY%&>%J
zomQq|tR%93!$38i!xas|MXwvxyJXYa8qydEdn4e`Y$|+&ZxY6WLoX;StLNo8?B$8r
zUDRwlZS*Hr4gzi~M6xw>KiUUW6gAP;g_CQDYve=y-%5+_H%Mey>Odo@((kG;f1_1=
zTH!7wu5wrV6<m7metrou+a+J5NsEz2V9l|3+hCKWt-s(y{BpC1pkfSM9Rr-I_V#{+
zZO1k4WPxa!4_2+XV^iPol^83EkDkZ*El>~<a8TUv&B1V5(Qwd(;|JOzNt^Ms7@fI>
z<J;?k&4PfO`vFwvzqVuR#o^RoH6mr_<SW~V{>Vm$62sNilFfYnMh`7z#UI)ZS`IpC
zo)pkV|3KqJRnZrCDPU0uS^QC?>e1^%h9Az_Rbf!4UAw;ifS4<VY7hnURG*76{Bhhi
zyCmv)73l##g|KozuO39^<fC|3>jpvkgV57-oVz)JcetHxHuJ<_$&v8O-(Ixk$x4@n
z`!nG%jVO1@Ye<zFP=$Ubs|ZocQXt5nI{z5dQr94?{9Z;bX0%<@SE^J^5|_5O0b<Q?
z4quR64L3<ZaWIeCAlK>ZsJw}TCe3M%`Houmb-`#ksidKuE84Sx`zgy9%ZAAM{FtYH
zyWPMG^D}!kebF@o*8^GOVNcW)Dbnu!AGDCa9hDG$m||&cjpA!I3cFnYaU}A0_alQ5
zKAHtN%6#yYgF$1Rn`jU6;tGsP6D0UFtUP5h!bz+zn_i2T$2*3|B>>Lttos6SQ!JrC
zcRW}s+NL|=3q=9G%@!`K*U6-b@Q9e~MUc`qRUZxRt2S0<ZbZ$s<Dzv<>vZqLWYFB;
zpF`h)h$3?#wdZ<huWx0pl-tnl7=xItH)oPo1c#yUiZ$G1gO)HH_Q}09ro|~LXK*}p
zk1SR(Ax3X_UxIr-wd{_-g>Bh9u`0u7o6fPFP{+GPuFhMxGBW*1kp63v`RP9pHRG``
z#z+IXStU3VG>h;P^EwKri3X3r{01s}uR-1?{{TlISsLHFWl8s2S2gd1W|6q5c%*g6
zNjS*NM${Ma%~uzhEwm?nz$=jY&E@-L<UsE?1UBNv<b)#hnkfxQl%m-M`Xa^zL=wrG
z-mXLHf7rqwW-(npRk<w7w@*T?N)bxhdINfw!PF7nWbYs21X-<qRFCCmBFdQTKangj
zepTZTfG9`*^@6|L5N??JBFvSM@0<(oH^sky%U<e;Y|8b|<^JPZyW|nW<+-0jd!1n7
z5~~IzP$>^DYx+F@m%qfI9Ms6mstA?9)?x5XL|S33VI*iP*$)iu2Fas;KfryMObMn;
z3w1_E7CvRyWT>!V<*;Kw)9p#3P2i*I#({K#`PYj{MTvF}Kh5394NZzD(^vXdN9{|a
zn1rY9`MlfsF6Prfe$OZNR2?RNr`CR7!H>+BOu>%eZFCM5MW3m=vn-`YZteITP|{s)
zd~16UXyk~#QCDyrY5eG4g9P^eo42B7!{`}~7)xB2a%}|XD{B@okR&xNX_<^P{CRx6
ziO>HsRV@;!$88ka8=3yTOr+!<bamr*1OX>VtHn<Fr9=#JdUXNSVZ{^n!|UHk)ZdQ^
zp!*<Eq=DPUdJlDT#=taIlt{BcWmZ_P+W?2uKsnARP5E29uHDUdWpAUz&~6B@FGq8G
z789Ae<^4ytwZg3;yAUf<#J*oAPxeG9K<$3N%+Ag}NlQ*n;49Z2+mX5VWD@(aDD>Sw
z{^N~l>ffG1&B{{B6PQJ+hSf1(nJ+yT()()0>F(`aIDtLGIC2#9Qro?r#Ou1(0dDKS
zFuYORUTXXPzb}*~8bv4MF`O;qu8?6&B`JjIdIX(FsP}bc<$+h<<;f6xB74!WO@)p3
zqZ;Cj3c6HZ7$n-i|Ff0wd;Qq`^pV2z9hAeMbq)NA&3w59<NmdKtS;56s;c4P;n?{f
zmGZ(@;o>kz1eT}5z7XjiG5zr-Kc0s-NR*HdOMI$AoK`Yz&shnRB)kK$l<^#;=_xKQ
zZc$ND-WWYbrOD`;iC{;DHClh!&a?6v@qdiSV^KdFL@KA}r@a~^98oVD(rjk0pA4Su
z%-7r)@1#IIa;|S^Xs8D|_?KekHq3qu7thBt^%O}Q1beouYTuXt<E_B^dEAY9$e>DX
zZxT^Xw>~1%h)p%ssuy(Po~$R|X*KZGXyVjOIAwlz)~>g!3-OjNZcsiw%k(pWJf1o3
zlcNeL{^{{5|9@Xo7uhqJ8L@^@=|W*Z=I%m<Zo7@OHQXyPkH<VvN7melLV|*}B-K1a
zE?6%`U~DhA;VM(cb}b72IpV2Jc6aT^zP@b`T;1hii=*o8G-Bry5!p*>poHR}{N99Z
z1!X<L;>0Zn#SQ18=JoVn>n2T9a(-KOyZ}#Yg9kbeaoVL(y<7n5C`@zt^73-UUKWme
zKFW0@XC$r#L3))<vf*vywsq0Jp8yS(Ui<mvBe8B{p3O43MnU`UJ-YQv-@VVh=8|b{
zIG{{BVq;^ovuR$iThTz#tT>l2hbPq>QNjO@#iykwphs;(eUYUE1r(ZQDz6g<rr~!6
z@+>)%70=ORXW-uXoxglxDV?m4H!0kL@#hYJtQ&8}2+y8F?Bg+nrkRT{Day3HIkg%Q
zs0o@wmY4H$b2!0wMTix8-1t(3vR+V+Y9Rmn`=}U``1Dw;8*cK;0ZHbjrlu{6pXc{T
tOPCxQFnrNwhRpw5>X1c$6#&x+ofxAmr}=E26$<>5l~j}{6xVzCe*h|N8Y%z)

literal 59572
zcmeGEbySpV`vwdTB_*M>ARz)uhjfji0)l{|bf<I-9Rs7JASvBSNT(7~k^)1CfOMB2
zjYACZU9<P2dp|z!TJQSS`u_UX&%JcmaC6^Rp678M$8p`EYAW(1L|2F)5D1B)!rjLZ
z2p;$ndw>8Nd_b8VV1W-T*kk!Skdi)zHSj+H=30st4<AA}!Pf*3JgmzQ9Ly!)KM2;9
zzkV6>D-W>fe}DZL>&Abs0rw2Hg5dsjJp`fyJ~4lcz+cSo{QZfOiS^GNGqHbNjR(oZ
z`SmsS0Js|BclWjr_#kvt(1t-Eq-~hLSaDpW^q}1k#k;qkcwlWz;V0@n{dB&wZ+m5p
z5ckd<0%62J4h8nL8!xX?;u3$uyS-Cd|MJ_V*P53CHJ@BJ$_h2Y3XD?Y3AoJi6>^iD
zxxsSid}a!#vj@4kv9Y;<Y!I69^jL0yZPlXE_i8;mkA8@wCi`?h*sd)qVc}7#LI3#&
zVNJ8D;e#V;`>o8PH`#T4#Lm_yI@QzF-iM8>g=mChw5G@(o9IU7KmR}rad+REn_lqc
z32?LVIoKGhbl;ku`smKL`<W;BX<vE8&OHdJQ?*h8FGJeWA)^ZQ2&Jb<*v)_40duc`
zH_(b;VeVj5Z;EJTa~Nc@bZ6Lv-HruPs#R_>R$<N%jT7y?;4Nk^<%L%0Qah>1Z|~6h
zSG)h}0U{eJs1vkQ!wxrNF`M01A-KwK)U2Uv7bm6C=Uj=EXxv9k&8^i0_Z=<K7bjm6
zy<kKw_TXZ}T!_!b1A=v!%7XlV4+a*V4jZ|Ug_hAw8ToWq1Iuwo;KLM=gVjOPZ)L{e
zk@mZHAL7rxw;7Frk0JI`E;h5^1c#)Af0`Q*z!CLi*W~=OkDQ3qM7p<p_{K?^3Qa78
z6#ky&p%*6$HA~SH!k7FtOAQ(v=kBP;J!3z;?6MFR$Gz8wXz>;^aTd2!Kf9^__Mb8T
z>no@+R*PK)bk|gibWOCrla@h{pDCF1>Uf@N#^NQdz8^HXTM7G0-F6$tzCU;ZrU$5y
zGHp{)9t)Cr7kk9zQE&fy8vU_<P!dGPx<^pVXfqe?s;rtL2I%YjT5Io=^{(N=<;eI^
zr;YnxlwOniHi=6&ljNfgXv|wo#H4$=@Zx>{XF64|cI{NA%}Dr2>8V@1RmdDY-1y8t
zOu0=go;EwIVv(Xwm$PREcIYJ#hW$+>PNMZD7fD@B%-?mdPn<UW*ZKl|t-8ldC)6tF
zDHJqd23cM$=kH;O56VxI52wA<e>wv}QbZ>1iD%F7?<WoPU~kp8h|ed*1Y3v)O=~fy
zH{<;|r{nD8EfxyN+?_YB#CwwQjSLYosD647@5!-v*>#~Z+JLy(cGj~A7YtSGmiStA
zSBO%QN3LV?qI?3?zjq2)anItQpX<a!MHvwXEK422U0M&a&AGO+P2Siy!B1P9z@4}>
zOU&d@n^UG2RF<b}7|5=2T^hYkL*(!<-bMSLP51ZWrN(nMu~29#T5K2OyJmN&;J;*w
zY^E2nW!?@_nLWQSo9MhCQ>0jueaF_iLZ`Rbp`wiIe;Wiz63O%VoK-|dTu)&nmqZ)X
z+D+?EFG3OGDV#esI{mr(wNm4ac=TsyDR*b_5|`V5HsUei^%s_Kv0iPt?1$`=QJ(pV
za%9`d!Zvr-)UH{o$~+EwD1Jb?zR-;pV-&6ZV|`~rQ}FJfk%U=u&x#hQ>U^{*WP(s;
zEo?u3Zp}1-ovd3O(Q6wP7;_S^WOh%xwe#B`gGgXpmkBS|A2(9dL6F~5%<MAwMysGr
zz<1eRp`GRXW$*m^a!tHs@-Np!Db3CGKIe0-w_0g^9$WmMT`Tc~`R-sU<CsTBqFL)5
z50352-Z%GjAQm@kla|W-^yrATrzfrMc+UJee5=o}Dy%DPMCkOzUD34ET6;4P1|hpi
zYPS$!`wHmf_ve3Z8FT6otoT6kAUV84TACJT?g2+KM?q0h?TE8^j~b66wJ+{}E<Vm{
zQ5Oru_l(+)11{1(5V?q0hG|hv$1dGy>sGsEX~VtzKhL1LL~vX9{%Gpt6`5T|>N9%(
zR!i&2nl+Lv(V~0>Q>pwv+k}T}VnUKH5-?YWG%&U~{6_BI%4M$tzv$g)&~{$<XAHT5
z7gF_*)IjC_R1ictYuiN5qkUvM`r*!7;y*WGwwnLy1OHc4-aL~c_s7XS#=f?Zuh#Hv
zuKiDowJ#~;jwc4>qy2)RotKSa8dof&{~T%sqP8dWF#B)EV2G8jyTkrxH-r-{E>40~
zAO4}!`hV6(xIb16EnCmO(-7#GnL#ro^+@R%&VOYzEWDSO_#rfJ&FKDnE)Ym!T7Mxw
zLc2eQL;(B3tjTNcKf-O4Cl-$5GG7+SA2Hy@{bq<>c#QcU&lKb{g7l%;s<8eT#&!Z)
z|FB0D;r~5r&}F=f%}GrGB7bDGOj__zfd}!A{`>o%>;19B_7Vmz{4oHOtVR&t`(1*6
zJTr-gA7XiSc^vY`0GQxjY;M1yegD5>0P`N`Khp3H{hyoi{|5d42L1n5`u~NO{|hgF
z#Ml2H#dK&jvby<SA$^gsNVnR4xZo+kfZyspVbk|Dv-LAU9R-T3t%+)f{&eXf1I_h3
zXfBB3Np*S}8ovVhjXVCUA5Gd{UL(@Eo`a1ZdoF9dJ#JlC9P;UAanA5#<`>wch`!l-
zmEFHO0^P&TW*>6clcJkw$yt1EQS?Pa6F~{`qq>h%QSz@`HQ<F+=cn5g>z%FHOq@Jz
zW7;ct17x{BZZwISK;N%6Qw5ha*jT($=Qe_<?6j9#|9;jwUg|-?fkpmwD{=Do9@C`?
zc5st%s>;S+SNta-+g;{|REPGa{gGM!|LSt+Qv%!R`lAmM_PS+8x5soUb9aU(*Qj}P
zT>7O^Qpc-rd#P@eot1Yon$83g(@@`7V8^3Wcmb`x^`u4OpX8r?dzPl@5U=*uh}oTm
z_3EZmJH6Hx1U_TU$>zsSVZO%0`Gh9)QY)D(dV%TOL+dEx9BsKX-(KF_@rpk9B3%V)
z+PhQOcuv*tc*p_1M=!XYlVFfsc@wTz>%3H0+IU5lx^|${uxYL}c!j2Mr-Od0ey^{(
z@t~L^&E@ggh<2rgzT23&B>1j@_m8-y_uI+34h^my;dGW6zCQ=D<cJeo3bBcvXaJz3
z?bl!O3vXpB%$9uIyjI#lbg(()J*w~CaQbs%;R^NraN6jL&94nXoeutR%jNp6W(Ci8
zmN`y)uCTpWBIc`ioN^s451mTj))ss=keRwW$C_UOm9lrH(THG_K7JF%+dWq2_CrTU
zUizbp6M<R8D<-OUEC5N7=-Z|g{Ca%V4QS)(w@w)m@1GksCAI9->=&B0e7D}(pyGAy
z3AxtxeC9(rWX_NJI|apwI~ia|KqRyiSaw{X$c{}qiqkYWnnpFs@8=Z8BRXmH96yaV
zogI97fxp7Q0?)?rL?7<#m?H2ZejYAFifS8u|C%4}Us7237GI1qGsWxR`*1n`NkzT=
zR9!7>r6Z2pwz5|QY-`mLEBhqUAFHwI%WV{@$Ss`yn;1^w#tVRVFMdwH^J{~D4u=A=
z;O95f$i6g54jbjy=4|@!o!AJE=7O12+-N!<8qa~BP1%3^LF<Z?zo39x9b_%yxa_yC
zJEQZ#mX1qR_H-YNV-)jMLH^sKE6j5Xi2|lFr)#RBwKpx<f~^H1LM11qey3c4`A=sW
zeOnCzwo{9Gj>TciK09HC%8WnpWe-37oN&m{8=4e+xG=n^;Xq~|(;i3k+7L`K9M=Et
z*C>B|+3bs&l2?zEIbI!@O%k#^+YXl1dv85_cCw|KYko@*Mdr66IpcY}me+JVTngWf
z%}^$d<;}YEA|o`{<t~#SdWRt%>zkR*CWXrMw(>bYVMeA5Ag31d!#2*$6UcmKaqt-&
zq0TckQbx`GH5;H9d7=i|aN9?<_*WaAR5lCsO9}a%p#lH!s!GvNp!LNX`E->P#m$8B
zp*aJ+j_ZC)T!u%R?oCR@(;O<P9^+Pd2WvwdYr9*1=P4|0UBbOQ4r3K;eiU6lkJn2r
zPeJ!@*HzFR`J5fC#KOT=om|w@K1Z*}^3^V0-efxaS>2T87iBVH+i);4VgJ!ifQ<)~
z6LBD*X+D_V`^^hI<>fc;rquD6bn0vX)C!HEkAQJvBuA=a%g5;hUK9S(fwKWJ^vTTm
z8ED5zmDSJ<<qXG|peQNF+2+OM)Fl#n5l4K!tM#WRC`<LeC&*Y1Rg1QRZ{?<P^0%03
z2NT5030lQFZ!WVsB`Y>LKM2a2oqU80bru=SQEqqEIDUkM$H`^{DS2JL^7L1MQK0Rw
zeAtXbMsAOqgsDywA|~g1rt0@`_N*(GFpWqm;5>ITjEI66@_vM&S2Fz4;R_rYJ~5r!
z6}guE>6U4()OiYwXfnS;oP`YSRs{?8*X)_j8T?G*#O{(DO4PN=a8i6E-}zpLW}lb6
z>)D2-Y)a*qNTM5RH^BzYS(GmQm2IM~VM*Nc6bMM1{z}EA5wI4$#=ZpCw^q#H;A*Xm
zSjEm!4tu&aQatfU{%ZSI_3S$rq+nruA2AUwr2jy_(MR0rHR<DAZBlv3jk4D1lW7!t
zB!gFISAS}Bx^cQVgP}6p)va0c&-<V7nd<vxP8KH{d$J7RM@wKaIZFvr+>WFdjVK>T
zFob*RDf((HA9k?}AVW_FBjLB=Ly7kphxo3_iqtmCg=5(|#{wcI^D!u!9&~vd{3^1T
z?_v9a);QFyv2(VyeOB&cuy&JQ2wRe8^1W4JR^;rgvcT@}k>q2B*Y|u?=>y8s=E*U7
zi|T8a_lR^cOKB*jyKE7RW2^DQGjD=svo(AspKW>B<44@hd$D(pmqH)j)!wY{P5K}a
zFSYxbRh(d|#caXwY&QWQgdBcR9CiP;o)>8*U1iXE)e>bHj+@%Muhmtu9(4&H^<*KA
z)-ik{6(v}a<TL8O3v8=PvvW}7+}&zUtJv~xmm@(oLFvN!MA@Xl_Q^mcKlZF>bD|-A
zhJtCmT{AA}YLEaftLsj|Pkz{?Op8zI_N<y)yvl_oiWjc(=4!?hk(-P?$P;)`xTd&#
zVPX4CkA!$g@(Nk7Jh>2c^1hPsawAc{*}NJu=;<N0m^aLrshTrN98+fVCQ)hpT9FU<
zwm)>xknPe5TT_yKUb3p2K`)E06)%0NUF>Q=O`oK~`f5R*1Gy_B-DkI}Xc0cH7K$z1
zOv&uy_G3IQ#TDcwl@5N6_1*_E&hneXnuck5sv{)PadE~Fk?53*$g3?yECE6VN73?(
zgwoAY&_o}VYP(&6qdf(o);-rzeR*ctla0!*{w#hJB$7#1ruJ<QSgr?Px(k}xMAUx8
z<QotCvs&t%8NKPfya>zhUA<OH?puu8=ef5m;PkafyK?t~d-BxbgOa>+@e8y3`GQkr
z;cwaR40S3sxm0YYio+83JXg}(m$`TDmAY13T&NCR$8|N4VnG|8AJZJn85lA)wUKmn
zdB2GD4qS3?I+^;);U_IUw;#V!s#=oODt<I*j)4Y%7$DL7^ba<OqahFyS(2*cz%}Z)
zC#u<mEtfeKIMurNcz-5nbJBys%iObhi_v@IlU<z?8*!IasvN{(Ul>12J-NgveMo6w
zNydQjrgCn>ZZ{V!-J*@I>ucNLwt~T?N#pl|!WOmf!Ssf6dXz>cJYV=~B|LwoE}2G%
z=XOERDIJ<B#<HB5&||#hQ(h&%;o_`c8#@z9h?jh^*?4&+Rc6>k<$*jG-9aFYfzk0Z
z_Dmuaq(4<WRv5%|hz&tC?rb!xd`0L{HEk5b1#u2CMlWr`=KY<D(ahT~Or{%;mQzCC
z2Uyp^)<$z+iS7nc<cX{dE(5p2-7FB9^k4Y)EPf0eUb`cNOrh)zSv}cm$`AzjCS}jz
z5xY+CVOkMc&!Vwgzqa-)tGfoxx9<R3-KYea7CD=)@@rNV@}UIH;@SygW$$>`1oFNZ
zGv=qpbw#@L3)&|MGi<Xm9T5=k*BCgpQ-w?9#(I9qRxIadaqE74^Sa%gwX9&qE2BdR
zJ+Hs|OoCkeEzsaug?-}M%S?I`9x|<$OWL!8cU_oasbV3?k}t(2k3?i_Z)(eMQ#`vF
zUn#TFw^(x^z2&LeSD8GYi^fw39s7IJ{!bcNyPR1VPqcIqL3*_Sq=NqZbq<-GP@z7t
z7httS-hB{1mtSA6Q0#&TszL)G7`U&5Z`+3xaASKX(l2$w#nWUPqzu!9HCVrNr?RHY
z`4=*znP%z@zZRb7ygP}5eREWGAzd9#NRgeBnuQ1@jc{|KfRtd^2+iJ(X45fMznK@v
z;9bf_i!gisT<ogXz8Rj&N#2{a!F}HW=1h&0!Z`w%^hW?8MWTCMBC9SSoVu9-Q-xEJ
z_nS-;WG2rw@2g#kQ_(C?sYhBt<f2=VT29K&Dp+^;y7)_cevVl>)XZIwf$zU%>fNHu
zSx8vRti6irls(&VZ`?~$^S2~Whv%ia&GQ;AH@+cd;GcvbcfpR5mpc2B(D*v`+t?Dw
z+E|t=cXwFsUpKI5c!LPAHo(;!2@v>F9@Ngwk0l&uR#3)Il$`RawBhGCKrN!UMs*eE
zXQ(FF+Z~o*25i!)K3t<Of~tsXJTx#Lz&=9dL5U=(^KIdG{2U`EK*W+F&0K5E6Cx)Z
zntYwjZ4zks419LlX@qc(0T`SC5hZ2vRF3I*V1I2$G0#k4{@Pr;)8Ok#yXq-1NpT?#
zk-ccai?MxV&23K%@=~3NJ`Vjr4y7nGU7ud`?E2zVCW;fc=YY!j(6wuPlx$PNavEcs
zPi3R9P!HQKi#wQ{K$<4ioFC1;AhTG{&r3fJGeke{9wO5-y6E<83h>eY111$dLiCHI
z^b+_L-MRL7gmkHdE!1wcdeOxy-@Q&)iR}Ki)Z=d!4@+12Y9<-_em_D`FG;Oi$h#}v
zB`W68O$Jk*SfficwTfcbpSJLurYE&<UgU^qpWl(I-d;*DRC%K^9ff?@!jP1Lkkb?y
zOM&bBd}9?}%09jKMpHc7(Bh4SdbGNPkUGtK6GvgyJEX(3GCpF&#<n7qPhz}N0OFXL
z@!o2{H4+gBy(M~QsJ2)6tBZDUgO4T@K}1CB&lR$j|BG8jR1pM3H!O;Fa0&&8JqhDi
z<m1wgaH_vsQzm#Z*h1PgT(Q!aO*#Wlrv<l<#=wIGCnhvRnOE5L`&TV7mp4I?7Xzlj
z7Et`)vsnA7UMOD7@2ptu@S%g(5SW<`o|^iW<VDFYAv25I7r8h|Z9SnTE~@cnNs_^P
z{g+q9hyvHXHf+|dYvm3*QLje5$<k`@as}9VtZoK=a>?HknfNK=V#t0G%N~Vq{`IRH
zy$A4M^+Qk$nUnKF60pY9f0uJsG)B2MuFdGq9BVvhz=>N^H~+wSY)jXu#LLz**xzO9
z;XY=bu(QxPL_5D^9DMb@ya1PH9l2x&^{&%WcU+f&wn+Q!uSoy)hMIi{?3#qB9KOS(
zXttpYd|4=i#gWl>f6z(2uO(O(ZR{-U%5KdrIw+@f*YcLLmg4?W9Cwr+qlC*1DpM0n
zXJ=>W9$8QnB=G7#P<7T)ZJhzYHr6%vDK=to9QVXg@)n!;cqm7@!kyeLi4BEnA?c1M
zp&dcOja->fJUj^@w?He%q2D6|AH(hQhWfp8WPJ;il(Q3?kGch#K%_DH59}bKq|Ti9
z;D}Xip~5_-nqJ$jYm5g(ocm9xJ)C&Y)Y^flSCjMn<frFKAF%;Cw0kASb#-Zb_7B3q
z3h?}SOAoZjenGImAq0YyiXY;BqZD8B7o_-`QBVj2$&yF2#q0OT|9wA~cOVDIc}my(
zPFQ~x5>OpLvsl$$9+CT%8~zSnnR0-;zuLY2>DMy+&yT-c1H?y9Tp8mZt-Q)<1ld$G
zAp2bh|NZzVY5;t6N&*gkhs3{IxvB=fAH3`3_(!LzfRHfc%vKcqM=OKDrjUF+`r>y;
z`up+O_kcDM&t)wA2b&`Cq!}`qRnMsR-<@LS0q~|uk8nNfR}uC4Zl)5A-)tPNAP@e|
z^IR~@kp<-2C*_>HZ(sdxvH{KNbi>Jd*x8IV`Sx>-)~8h@`It#reynxrSNk(5v3*Z|
z^0XUE-Pggb&%})ATTU>vPo3!O0)BO7yABHIt!hA8jmjSRRq`}rSgDUBBL;|Dgf2?z
z=0#!H!|Y}7(_>+qk?lsSp<Eu_4^MRWY*jB|r%AeRj=#5wWR&(oZT5O!^47Ww`gQ{W
z@eK-3(Fc`h5Gb1*ruCk)dWGx~InMBDMy)?P=HaWiEQEuhJ}@-Z)w+ZQx8v6RP}JDi
zc+C=(y>@AqjESD!5PdVdq{P12AFIziCcV(~A>})Jtmm;~`E`8d#p+Om2!R-G9m%uJ
zH&9~i?3wm3niROMQ9(m5I(C*RNMGQ+`;uMxe>(VkItmp18x4a}pQ?x1D&^xI27i)`
ze0;Tc;h!a0^#Du|CoeJAKn27dJ&u|XR3}N8&A>lbu%>O!{XNT66adMGPg7_XLaMzq
zY=&$#^KsGgk2w`1f9qKPx|4sJHxK==58-+ASF|h^)_>MSrXZN~?i%kAPU_iE`KOZ-
zDH@lt&ZA!k48Hi?o?@_<sx^?iL{-eQdvINdGb~T#jCIEl@oVPPE`dS3_f7f_T@qRg
zcF7Vo%IA;WKn0eEX24YJ@0$4UpTE`xHN3r3f8MX<_jd#SzrOjZMs%guW1!SGH6xRR
z68H=oK{-ysAXauNZ!>Xe8JV>AMTzeft$@k?>Y$zEoihWgXPWS0z29SYLk$m%31>}+
zNY*&+NRjp)h7`$rN-t_J1**#L-@nfv)7#g~fgmWhk_sc0+HS59v@`}`xU})uy04pB
z_UHPj!{PQE5B1w-p6W^G8DG>@Kxwq&&R+gdm{|93?G3>I297iYP*wHKFR8eAo6x&x
zFXbe`r50ko@O4qU@iu3$rstE<fpkI^dR}WeN9)9;EWHLUgZISEfvu&?xb?zwr)qm1
z9|yH^KqW*^RRg-iZ0_<0t~`7AlYe4gCM|**{+Sv^@E3w1*#9wsT74TyD&M#eA*oSn
zAZ<Tcvlw~@qQZ_`99i6rVv*~JWWo?VyKnA=F@nakSEmDfmm=zL)};#nVzRPb@U*Z`
z8l^{iC!9&j!?ADh!MBoB))T-k{E9V*7BGk{GWJh1O|St#J)gyw{k#UUO1FY3wFx7s
z>$QjqwHkb}*9<}y$UKm7%JdG?1crO@X2GteoUZ;{%x0?@ZCRE0YmEVA@^-U!=4nDE
zbR3V-V-~B0L%(Liw(?;`NjnO{fqKyI{Qd)%bjt{4=l>m?nB|)pXBo(4Iin;H`RaL(
z^GqY9Me;1#Cvh0uj!;eKzJTmo-k4tOeC)a>;<=p~_rpQ659{<dj|IS<F_<4riK=Fd
zuuS)~*qp4D3nra%XgYN+sIVOq9HE4f@x$b4;7=}B>N=quwx%2CGLQn|`hB$z&dRU<
z;Pfn(%KY5}s4IYug(t`3bx3066p>dV8?`Ix`gQelL4m+fBsfZ$;_*Q(?3Edc555y7
z-tJNIWv^dWmE3o?i-XB~L*T>Djj_F=%D(xaxzw1eJK*-;Ltc6+|LQFi!ATAF)lU0+
zt6^qGK%WXeNv!c`yClC+w_Z}NNKC_fv1gww@~WgrNxwEhYc^s3{tm|6Bb9ce(ZF*l
zj{g<)M}SUO0EnChBrb@U@vwl@NKHK_JaO?7pYQp3S{5M(=%c-b2X9>U?CrDCepqjo
zmHaEgX8MC93W-Re1gm-T;}#sWTQyzk2+-8+?KFmyfb~?%qxHA!O%}HLlD*7%g`?YR
z`xCw&0Qc=Cr^g4xYbaBu6IxZxc|^m`=W^v(Vj;^uq+vhnbI+wxzOvl3ADoV6qW^Lo
z4WxqSiPMd8MNuQbI^G0~`rEvO^6teBwPNrbWa6XDH(5d-yiuE=3_SOqIWb_I>v{5p
z^?vxQalMpjXmRjWH`?kmXGsD5nz{DR-`O*gTtLaOlCg@}@oCL~Vc@&^^+*>KVO$Hz
zKdZPH+x~4VdI=<U8V7SlJWkdDFn`iNzbyc6+iNb6#sp#kfxRP9OnlTkVOOmm8%K;H
z6nd6)5e@2!48ch$^llHIEZ}dl@DHC8^JeaetlXa;QjvUhdvM2paS@bF4nEhHVp12p
zsA<ti$*g0*%_*0x)VpIMiTmVEe06<JtySIlP|0Gg-fzx?QY}*ftk!5XYW2(*Y(RkF
z<YkCD7!<X=jg;vY6h+0DDprE+#jn2akA>s0x|!xat;n<$!=^NUTPsn>k`yL`q4-^h
zJ2eGQ9|u8v4u&-=%YaI-f;+pI71P6|QAF^O!S(B-UOc1j>RSCSSna=DfzW8M+plGD
z=R(==TKreUF5Q}Hx~t9U0w`V#uhq1Y?j0d}cF689PlA<b$;@Neh~DXB%H#3?F&J0h
z{<r}s44&V&0K;B8tf9*`@d2>pW0jUerpif+#}Qigu#XaN1R2$TZ|%(QAhkU83$-%}
z!u!6yo>cpCr%S3R#6mfdpXFANXO{M?=e=MixY(ZQVAx-zwk5gq4Z8aeDE!wJq-Xtc
zE|6TIgzff<&M1%an#QeZSv-GsS$M17gPH$?5s(QFr}ybeC;Cu7s|(Yp9RD%&AjScC
zHoELuJv>JKuCS0bEy(_H`lJ0^(S}ej3hg9{Fg$j@&B3>wgYrzLE3)TDfH>xu>EN9o
zkUDlwk_a=updd6vB^NEOgCPWzj?ITK7paNW!|po^>$mM#EG&*Z=BcjK&nXD%{Kx<C
zP8iH<vA)wpiU6Y2XNe1AFq2sFNZ5KPI(3(fv-&_KRV=!r{)e3dE13}4$SG>3|8-y2
zGGM4-lPt<8zSCx9w|h|*NLU4=2UkA=`D|sINWaZ&0b6u)nIX%LX=144L)u`&Us1Dy
zmmjwFrZa&zmx_3#L|d!L;?wy1da~m6-eltjuZG3}Z*=pgg$txzUZ%xO*hDT-U<<x5
zk}kr|xfD_>%CHG!rWHU)(!{HZ&EeMhY12x1Y^MPB4%Ee`n8LMpS0FtRpR&9jtaqmb
zKA7PpCvlw`ti+|gKFLTAbPk_yXy06olGfoTGI;YR+2g^;%at&ZxbLRk<4+4DJQy(1
z4xvn-oF?mV`!sny!>_JuJO-gXb2uIK%2R(PpTgK<viVc&{qS3a_!PkG#SEY^YalUE
zw*KsxWya}PKm0yVEnQ;pYR7jBbEr)8P;?8Vf>Q^d1^NcB0~3ll43WdV0b&WJ$?r!E
zQiPxqNakMtH8cbXi}6Tv?!LK0X^cROhzEjD)}FgIls9xUjXQNuFK00qy`=G;%g=rE
zFX-|l2Xflr-kTx%W9eK53!&w`7!rNUO-p}kU`et_)4}V7HiblhHZy1C0x~Bouc1E3
z_hHM^BZt=eHwPHOjC=1-Y9e+C(WiieKPdI<oi#i5kVVz@vkh^>Br$XgVB%#eMTbfO
z?XvQvSLud1QYcnj=n?gM<#@6<(y11}V;_NtbVVYz)yw`e`>AuvW)w^9LZ?Uk<5&`Q
z?>%d0^)N2oi4tnEXMb%hL=kb6RjK#c8m;eIPYx^Uv)%p6?t3ZJ8oM&~Mw2zf^2|7@
zzMl5VEfm#sR>6+A&bJXdAmxni4p;w3y5s?}Dac!fYWl~{bXBQ)v)4vIvWfp_O;?B9
z(9qO(9X?0*pHBiRq)2u#O0LGQrprw*hgy_u$Q8-e)GW}+Kp`Zwa~Lkv2aL9I@bcvm
z{<vG}FyU(95(l}D^NqZ}#&l3L!VP|&sIS6Msbp&r@*Z%5<aIutey1ZdqnlWyHxs0g
zel9fX&fk0X#F(9u`IY0B{aJ)MTk8OX5M~=lQglk>h_}CHpzJ;L-bQo!Xs#!$GiRF=
zpSWHt(^2c)O;-9s;BRiB@X~#+q+<Mq^^qHB5I}k=lWiW$oq#uu%|KuGt#mT)!|s<m
zp4x)Dk7!#85GChVg29$p4q5)xB;MX4e>RhZRx~pB=w?>|nSo5Q)Q=i?vuS>COX^!;
z0)iOB%dTn<vX2Sb`o+bH);&W?8RK=@0$_P(Uc<hqFLRzX8gymQ_@vg!JJ>paoc@9c
zjdpozbUy=&+s(?*iwr@JX*_QMM>RAV&*ZK-g68Rx3Y6MorG2{#xRrNQ3`zMUVnONJ
zm^{K0i~WPFImz}zoP7@1tZ_!vfJWg2d_!SRx<|nMFN!B)Qz+83ssMxMfZeyV_gUQ~
zQ8&KyLL5(?6^Ft<*0;w_rcn~Gy6t$M>&h!fAbLAJ#(36`09X&xY&ftJfmBZ;L5Z1Z
zjo0V5dKTrpkho%&VRw>}R*xk{TCU<ISba{(2u!D(Yy;zv4e92%y2t67|3q?i<))cQ
z)a<}hdLiq4ml~|Y@|>`rv|<6q!!GFEOrs8+${5`cQwLan-;xuh8uJo1N%i6J<9|V0
zG&akrAiH?3;Ygce*#oVN_5&NmdWO_SbCaJ-!3@2MYi^_qB}yLG$a4I#Z-ShihsM^H
z{)L({CGbp+8|DYz66Q?qoOGRRKI^~Q#3Sgm-4V+>&uDth{d2Qy(wO5`IUgS7J4~7L
zO7B@p{;vupTftwu^v=lXWKGZtX~4})nvtftPq<ef>8m)cA?3xqKR2g7PdC1x@7`7`
zm5WW34OGh1mN1jJ{{U1d!kU_SGpM}NcoC-1WNx$l=J<V+-`P!-D?<F9iRaxKSgP6o
z4}#768|3Mz9^5C!BZV^w4LI=^k)Kx_W%<=rh3Ki%nth7e!;Dj?-U(nDtM8cd+y43F
z3G*bZhr-K~mXB&Kcamd#CwoRjG_ZUiizeAKD_{9@vz<&bW}-DfWv*TOc;t7w{ag=e
zD4K*R35BH9Qv^x6j1;yQq)KEv9lyERCEsz6X1cwY=th()c;HBB=D}}7D9B1Kq0eD2
z6!WQH;G$;PPbns`$&1QytGJClk_avj0jc-c=9gAA;wwEa|DKK@+>)lVV<7$w%)X6~
zum%Y2S@}{VfDV9F_5qlI?8>bhP1^uV0%*xF;<u(`_<iuLJUnT61bx)+w>)brjoxl0
zlR2DSei>&e9V)ty3fi2xCG{d<1&6{*ap6g5iPc%ktv4*G3HWW50N@{CN>ou)_<u@N
zH8yPEyg6*4Y2<fV9jI>jVFzR&RomfLqSJsH^pPQDlBrLG`1A^oPWqjnV$^GPARPlm
z*nMp`NWcroa2P{F>nCx2DJ217kbwJf$fTfMb|1!a=dr}3>_Qat65&bkQ6f^f%9r*5
zrS=lPv$d$;SUiB^5Y`y2cxbqa2ON!XLjcWif83_@bT^?%%1mL%?=X*e>3d<R47h19
z3H`{=p_)9PdnYtU!uMId?5&0{L|wUQXS&<C)%9<{BH%DxFMg}aX0(LoL*hFI!SBHL
z0ggbV#KLta8$M%`N$;x_J?-OVLeJs@GelBl1*=TZN59C)T;t8cC(>RC-9E4xmM7tm
z)EKSlOJ^A91vtx-e$2jGy-U^wXkH8j187>5{+5?!?6r%msQ|8zHvW8n4!kB~Kpsrt
zUU&dD%}uObPU+^03I<JZX_5?K8*0N#AYpNA30S+WkL)@W%cAGVz_AoU7t2(q3&eNl
zGtTz&F2TU@52qsljujYVBY{aGQkR&U{HvTsKi?iu>_1)vWBDxMD1Pnim1))<mpVGR
zxDF-eaY%4BxxM-ZkFQi;A02VT*1E45?vv}~B;J&00|FEguFl!xlIQowaq%dj{){S{
z*OVTI10JC1^ruouXiqUG1FCx!`zl|8z8hVf>~f;%^iiL?$mq+;K8f{@GpCzFz(R4*
zF}gbVHic`=>#un5d=<zIs5RiC5p6o^1$d0oWV^CorpIu|122Hu+n=zydfLn829l)J
zg|!mh%~d)HG=_(Qf{!I?W!Qf#cDwM(PK$lojh?uL#&WV=xI6G8e<h{*s%!VRsbe>X
znybe#2SXEd{^AO>N6H5T%@NP-`*WNO@gDO6p798;!i(s&GR9|ee%L7+6TDziwv6pq
zNCZ=c|LjedP6-q+?YRDtJtj|SMNsysoM;aQh=EQtK-s(xzPIyDZTYN7_Dk&{*%I`2
z0m{e_#_Rs5h=o^RFbiNQnIADdI7(wFvzJ7nDz$@ge}J~5z%GM-{P7`7x{l|<Y+*^A
zH7Mt_cH(yPRefK|Rt>)O9=MGkr?&-47TaCP489*SzQ?c8E=Twm<-*oX%+<ZqMXG#f
z;2D#yExb6%i9For+3lsCrU%qCO>fx%T+;=0gsncGO(Apwj}#O!pxzPKkhL4H0_;Y4
zbGgpb#D#6HZD98?nX{BV(T1T0sKxXNMT@~X1OGaY9g}(AFp8YVhk)s3VWsW*!F0MR
zuUm9MRu!oIwicOLuw{U_#eG|NHch}ney4$TmVJ1BHgnD@y}MEwt16Qu$;w;5-2&Ja
zP)Q)zM@L74gJ{mKnK&a-92&)6XLBS?&jQa+sZafn4-++f?!duBl5(hH8uPpi4V)~(
zp2+$0<r)AIQeD0%&M`0faqR3yWo5ZG(48a4<i>5~gxyxFhfyfmdYgso#+919OjD(P
z^rT-Fd7nfcJn4Tl@bI|iF`@uNkoD$Nu>i&`3f(HZ;6aQ(t3hQy*S0jJ{1KS29Gq0(
zV)npj5~$i|*Ps;7omIJ1nQ>|x)^KZ1?FBv=JExFY@}m%W2B$V)&w6@DY5x?8D4_HJ
zHC<9+(p+b_-%*d@*&Tx=MxtW}x#JvpQJ3#u+!}8sQ+R-)9Y`h@g$!@s9Sh@Y6r)^b
zMJ;vk36NgK;h&M}C6S$Th(<n(g4OX$1;?S+V1V}$*FDlTcHaG-TFiz%Jp2+QGt4Sq
z<$hd9qgkq>)$~EL+Fnyu5_a68$)PG$5)gMiM|ApvRDh34pfBxXLObc#*lQTRctuBx
z0&up45Ls1++9hfg#VwKrsxVp6{x6H2n?R#M0hm4o(W_5kqk6}V#b|%mk1q>j<jB?!
z&|*|?n`x)T!_Zjw!l>IjsA(x-Kv?gHnG{04qH-z)Rv_5X?h>+qYNU<4M?RM)ghFE{
zp>c7iHg5q#1W76MVe5J>6`5_rJh2`7JSWgjt;@ZJY4Dl4-josB$!{M+2s?CK-#D&s
zmDL5wSm&-;4>wYSkX-~A`AX-UB1;lNeqPkkN=BY;Ouky8$?K)Obgu$nX9Es7p&<={
zDf31=(G-Cj2?`&KK0OE8Qao0J)N8>eEw2&&yGaJm(rvqNWNUmQ;;GZst>;<-!y$`l
z2A9a6nQqV$zA~wr1IDdpXOC@m;%AQNviE-HXB$-U3z8JRfdVhXQ4w5WdPX!6{XPXQ
z%w$)d%%2RrEPBxn0$v67iAdui<00VeE<b0}z9qGrz*ndy+E{Ucl;NA6w5Q89K;sEb
z2N=C;V&=>(*PWeZ#lieaV@=GXq43ucOhfhLyJm_NOJ5Gwzf3+}&;18LHRw>zCQvjv
z(9U)EDAj*{`DkuHj?BD(3jU~Fn7c^l{Y(5ug1bDm&OjVzI{DW5(nsXJbEhD;&|>7R
z6xbU_3jM8V5<hp<#+uuxms};8hHT-N!&BS<TY_<S?OYHKVrBQEe7pgqUMFr$-p4p*
zc1*QA7Nh00zFDN$%@+@f;}Q9o4a_cf#pZtj72FnJ_dY-s0YL<KwgKN`u)t$VW&u-+
zkeS<NqsHN1t8SL_Ju+S5{kU<5t}$djtvTH7tXs43i%JzJnKM|%@JM&TD2Sj3%b-bL
z?7dD&CxU8mTAi&T4P)M#zlmY9%Ey0{84m!%d!GY4?*hElD{MD*`<_YEQ6_4cPuF`Q
z`NpdqW)@u@?i<6w{>oiQn9-W7>3JswAL1|U)_0$3e_;Pe$(VI5EjMQWcy~VNmURzv
zv*c#Y0?4L)rQ3l0=&JOzYM=JrdiXfUJ5^>Hc;}qA82Sl9u@WEoWU(gTe0i_rd28Oz
z`620(T;gOCJB6l=d!@p%kB?pv3o?NddC+1)pH(@gmv0l~Cg{p2EMv&}<xHf_BP2^g
zQ=S}2vct&L{I`+h>4zxEGwUwy0plk^GY(Gd#mgQkAAMiY)h0_hNRiHDn3Fbx>VIiN
z`FXpyRz#d){~dPDBt~AFH_-c_`*aPC8Xq-q8&M5ggZH2|M|AtI9DH6FS0hbYT;A?n
zD8mp~ET?dQ&0eCMcElb84PW98eg4p*se5;aJ{rEUh|HM`>ruaz0ZPW<LQRg0j@vZr
zAmgZlGDxydd?i)u2LOPM=XSd*SDR=sCGR818*=}(-CjEOtL|jPlZKtxk3=keqnXB{
zA*mY~e9rQiN{EVJyIRDc{Z@9DNx5#~evjThx=WDZWoT(lM&QXyI<#{Ko#hk9FUuy$
zBL#w`?j<6)vtNHgstfL6HgY)N352}nirgL&@C!RBG*x{lDT&Z+q5ZCW*<yni5fz7a
z24<tPHta#sTtgXPKG?d><c!Z9Iiz3=QMs>Y-Lnq(ban`ZJ78+d2dc`_GyLnd7)5Ng
zv?!)Ak`@Y#R+n(Ger{>dwChi6RfvT<j-$;IPpLolBmXmF`;pn&b*G2*Y>5uyXCp_U
zsy^3NHY2qJx%GSxhP!0hJBpE?<Mw7zH8;5rr{Zuf%OrnEF>}hnehPflB^AWhu!0B7
zme&fmT}X6jJEwNq6prs`w}#*BiWjPh=+aJ<&e^Vvi23-$I;ruJm#?^F(;PvLvA9N1
zg#G404%f+ut^->?6X5p33B#p1%C+dJ@05_P*tKqMT;6OWy;)}`?+D7D&m|BXyF&`I
z*n<_qxyh;)_T}l1%gHt^?)PHZl4kjn;IZb1_ABc-?T@;9hY?#}QcH&xKXFwcXD#R1
z)QxvCr^@uAttn;J)>*6Qm;Fe40((9_#low=*vaRgR`v;VLOZP#LX9_giFPi0MTds8
zURl1eJa`2U4u2XDvqB~?9hu=fxv#X!qZf>^$Vq7g2p}d2kzu--WMZ=r#=BL3ucetT
z-`21v%T-U?bjc;>(yOQ~p6g_*go$c49{>YaJ9e*cso*Aiw&6G&_&s+zCE5ARA`01W
z(r&jfQ=Yx1`>^ZVGIN;7V2p8<G}NkJCyS%-9}?d&ez#p_&_K|PmWPn`bOmLbCB1wU
zJ9>hk#~g!&9uNXve=B+XjWu<q{H=(ooV2Wygg|sxZ0nVdzUU#^2MLUn*c?LofhAUq
zzPFqg71AHw&Eu7&NGZCmUdvz3x%ZwwHPWi^TiP}<O#AJT)7V@2NOlyb1zR<V`m4jC
z%0&Gb^A@4_$L1+T=@=gx9BcVm&Eb4lt7lUBOIZz!p>lymQMsqz!@|T)CGIeV-O${p
zSinkX@9M69wHe~DT1CToQS2}<iBx7cIx-+eoUFt2*1#4V^${%_%1%a~aAZiaT;5;$
zlv`~)u!D5C9VsYmZ?vj+x`jik<Nc<tME|4fT8n{ioh#YN&-LlI4yd3dSHLr5&W<qh
z$NM$lA2#i|wm$?E4Rjb}#KPsr<5AyfGWkUJB|7pRbQp>s#TEtFD$6MA(y;YUGrR37
zMJN`p_Pj~}D9S#pHD;l^44P=!$Yl^PjG@y$wOmRRPEL;n0mfH6Fzo#Etv&`0nd0oj
zt2et0saN$a5mwc@@81Rj2PP-pp-K%PkGtx!l;X{LTuy;;7G=eqQo|BRqn+UG1!G?^
zt#`Q`&{VXeFb7=gJGh670p~uJyF_dYcbq%RkZ)fkDI#RKgYw#TAmU&*XeP;j5|CsT
zy&x1Q!}=`IAZ*;gb@-{7E%tW5-`Sp^%hjPBB{rI`qT#%xJx2$8&b>6KZw^~54u_l4
zrlZnFkyC!B$OXUT6QAhLE<TNx2g^*8!k{?542t6iyaB^%ndS)EVFmjvm((jS^JbSf
zm_{6FoK!mSSDAjj3*a28QoieFR$!^p&C}hruWKf(P_LZe3Nl~1`?Tle6%@#{?>QiQ
zkn8t3cVSVoT#NlZPir1b#v`Hj-P?}2Eo@W3@cxt!+J|mBKass=^X#Ud=i;SJ{HreH
zX?4nv+x1S-M==l4V-cUY@2YQZ0QXYqr8?LOGO4xEC$F60tb#hC)g`F-&0EQY{T^N^
zp~%FCFPG_*d=`@&agE-%dTd{=RNz;X$rnSXy{<o9H#|>Pm@I(3&)O~<W%U0FjvgmW
zI7XHAR2-})PgFPOF1sm~ki{vNIDzw?1*(8H@*Vw3{WKD~y7lVE980sYxJ+IAw7wT}
zR~@Ea)}7vs*NS0!y8n7Nnl5|3d-2XH^oBEbo(7dldQR8Uwg>Vs3aJ*vXe*(p)mNMG
zN_aB2r?;+4&dHGBlpd|M*fG0!T*i=b+OzN+=B49IBy?kEImN+(oLN=J#H%>9I8Zjo
z=Jx1500EC{vUR}<(!nDr@j(fueF7knV&d~FP8W2HxOQul#hH%$cs&rvn1I+gvOO$+
zeVI6*vwrB{LBa+om@cDwwH2l_cYvQx%KnvTQ=2gNcDPHBZm=*zQWO7fz5lkrb(sCV
zWjIBh&r#!&0G5=7zdWx%9F2KN!%v;Fvd{XRSw8p;!4o!?ymqulQuebpejRobwY=W*
zkIrl+8Us;8R4EdEjO`uOr7?l3iyEL@$!xZ1wc^ym!Pwk;3AYDW&jOe}e0fBd?r{r_
z_Lw)E3^e5D-s3<6(8E%+h(BVUpx+V6^4tb?m0&KI^faS<UCfQIleIHYgUUi}XQN(o
zcNSzTeEHmzYbDv83t%R_R#`%ayaFqSeBeI^-(R+`F=s1gofsPYBq&XrrL~)8rP=y<
z`=)wsfLbr_9ARsh3HOj6Bm2m5wb6|v^~~DHCt^}*hl!>UH!b3mmm?NHk^K1`#Qg^x
zV3PR{290SkYYDoJrS-erQE=0t8oEPJ$X%oAl<gWEIsrv=GIKWrez}$&t+4f1aQ?*`
zh;ba%f`%?WJEIL+VrPR<>TTx@MsQrBwxON4_Va54D@fXnGFHP#Zhl5dAKl%96Of{B
zF;>2yZu#*Z$tMh3yLSIdwGfW`UAFwoRHo_Q`3XmA5ONap+!#KClh=sMv7HYA)_^wF
z8CrD<3n%?(?y{HU8nN_Rc5IBKqbLoGRp?p*L^;Y7DRk+zfqHj6z?qSz*|8tXka91Q
zZUlaHUrw^zT?nVxQQrXA@n@gpR;qf%`#|8;-CAZs5L_J<;*PrQpPHP<5Iht;eWdVI
zv1vazDoRdaS*$AL!?x}#8riS3*wXHsll)G%rnr0CPeLg;&gRJcJb*MRdyuc{)a3Fl
zkm+?7{r5X;;@Ez8nL<e=v#9zN=_6qW=UysJz1zi!X9cxHw`vnGj&y6>#EA6L*FAhq
zQXfKOAEv{P*Te@!?ak++<VffE?AvCyC*Sh<%n@IlV_B~VMM#B@%<*~6Nl!;dr{Z#X
zzFTyz=?XmYKKgKRJ&6~w1&xoTfI4#U`!QrwB<lK&-Cg0I`aJijb+Q_HrIG)Lb8~>O
z{LX3){$a_{-sgCE`%2$clI4w?o`G$W2TOo>Lq$5ds6OBg17U9;6!u?Iyzb&XV1pW&
z+Akh{HH_iRazZ8wbS(_wbg4;v;T9^|wz-Kmx~7~CG!`i%R&BvrWv1P~C?ycqmqf|k
z!^%USJ#=u4#j1H47;72Y(}jO!3rI9b?1w8N`6=3IH(PCyRj<q2iu~4cK&j;<FQNGP
zJI0YuSngu7Z9*YEG3lvfU}xXV=*P;;3B>6n_`-lIa!ab?ti81ZFFmKt>G0m?Fw^C4
z9VT6PaPwW=SmDWbn%r>}dsh&>tnd2kdL~7rqq}-3!<p<iZ_6u^nCyX5Q9O+Uhx2T*
zm7!brEe>q#1&<alk}6ZsZr(TMJG1CCL}|@hET{!-Jq;4r%aIQ;hktT>+?aVdgKhBj
zm13=yBDQ6nRU;}fkj2M$M^h>S*@+<@+kLQtSgVhu1EyobpWDN(5^Z=aijcf5T+Ljb
zN<k1qYZZZB<6^OWv59-laK0VIDx2%Mq7+XvQ&2y2huWhYI#(8TV4>@WC!xYDE>>)3
znMEv$em>`PWuJ`yN#e6^t(s-{_4Z1&@G4~kyK=K{fyNF}p$Q=hqBr%)eF)p+miVd)
z9M3kzZC2ZtzP7nqr-bKD7LF`N^4Eo|;pDkq*TsejbP1(D-$i%Z+7}7RpDl|vb<tXR
zDba?eF~AblEoGc(m{7arJ(zPX@Uvx_8*q{afp(e?*%%_+-=TfEQR~4|-Nx%jEpyMD
zcF!MQt-aQ1?6Q-$*%Yfj<FYU5A$y*6GBiYpJX~?u^d@-k)t^Svzep@>_9+3}!SFAq
z;3MNkaqZbO8d-v)y5+RISKIRm=_p9vd9qHc4h?g?Kut-avQmiomqC*U7u4Z(gM~;B
z(`n*7!|v(=$FR|G*{VyvRzUBr(2QM6I6w<TwABEmdiVWP<zw>%4<h>ju5H#h)(pT`
z?#l`hpy_80FI0}-()48aB3Vl?UJ=I`Oqpo^8(89j-V9qevV=AcN5cg|tIy8NELw5(
zGp3~PRjy`y6I(v2TcPh@duY2s#5;U%UkqRZ5r7HCOF|AFK@rZxj-6LqKht49yg>T4
zBBcmRReydfWXq#d63}n`V$`{c*Zz97OduZEZVL(1M!Sv=-mni7h(Zi!X#F`}9d0Sd
z2Bs{4B=Px;KMG>GQ=n}L$dq!3DB}<rvbO<mxoj?I@dcSo4HR*Cw5t{4qIk+derKyH
zVP$ai7^qA`TiwnpDrwa&*0k@n@-<h_NKU^1*1kXxqt!_004GfZ_0L11D*a~rjt>*>
z;i^H(G^Eu$)Xz@Er!elwcjAaBku_XWP;WLab>|v#Lb>zglW+936ATyD7Mi@EddG(4
z?QgSYJuwnaU<(+;1U+X$bx{E!*!==q;lF*9;5bE<;<8!U&U(Mx6}nc-M<)qY<S@g)
zHt#VCl4`bKe!VY39{k|QLz=&IbN<Kc8VXnv@T9oz{q-h5=>lQ6fRccWfe0t7tM%>x
zAl<rW9;;ljfLlnpB}R^K&g>fE^}qX*@y~?*AR_l_s@?ijl>wj4-&+xe+j`(WN-~@b
zK+@5LUIph>o^ryjN~K}{KOA(cf>iPfP18Q_m>#_+a5;e_utw>sLeq-uK7_;E>pTA?
zmod)SP(Z}|c}^(P4Ug6V`MQUAeH3lB{C4t!@>xAP>TM4{wHFHULhd*)U45@Ftyvx%
z1|2_5c-CX10$>v?Ve-On@1GSpGY*AJSF=lNkYZNtO;IU^L`zoJyCmXM)jy@L@1MeV
z8zsesZCcWruR2LY0>SDga4zI+ztLj*Ewvou(H>2T{j6cZ8KR@##Al}xlBi=%e|5Kt
zR9iIMN90uFyoq1;9aJ4#pRZ>2`BG1UyPc1#=V|-(s-1QNWATkXXZ21eFf8@#W!A%-
zJd`)Mn`x}TOK^x1oWRk~8*0SZzIE<-vTg?*B&yuH=&iugfkjc02@7;H3zD+8d#q67
zH7<+Gp30SSX?a!)zjIl#3ZoeZMO*0*Y%B85q3?hwkfl+-Hx7<Ldsreg&(BUJ_dJ0E
zYl_}*s?L>_V2|-RKfVbfO?#Fq;xhG@0hRSks01Fy73Z|j;WE;zlXKU<bj-LlC?{J`
z1G7XGUO+011IH5A^3raZm?g%%^nT%a$HC+NqX|yMZaao&(g9Ozhp$wn-mHwBz$fm1
zHz3M>=r2WI$=UNHGLv48Pqqi+$U6z@7zM{59Uv+bR8=xbG+G~Q$H2>S1ZOVN4@6@(
zc%vBkjiB=BpG+}xHAWEv69n#wtIxSiv#l-&Bwmy{SgLL3Fm~g(GxUlf61u<C)r!TY
z@;pwO)du)!JVBO}x~zFa%>Z$*KFX(4^{#$p-<FPoR?tiVH~|GUtO_xDo=ZJM+a2iJ
zcQhSCKFwJ*%pq9_`Q90}V!LniYJH4%7kT8YRci2Riv*FxJEJwUh^4KFa^CeXPXupx
ziP8sQ$E`F?xRepWrWF5mbW~H-+g4E#4>%ivE#}D=IWMrq)G`Zj6^gq^C!zutYF15>
zue@=t7)q2e4w4Qgoim9r0xwqi{1SMnxiq`IG%7)u;WnsGq$eq;js8&l5F1&|@3B40
z-*6{|bXEmOYtUi>aub+6gj6w+Tyo=;e&g$lS6f_2-?rY;%(4_y7+hD%C>yNSIGg&`
zHx5j#qtn9G?fI0<I545I)8_noF{(mJ-=@i9o8#hdc-w8D54REM#z~Vam)<zH+5$rt
zwfZ!8LqU{2V&uZC{g_>WuqJaab^t?At+OmYg~?9e1`I80napK7C86MNMVO?YAqh`9
z>^^}@5{$J1!IO&k);{Xzcj>H>{*I}26H$ka-QFgAj~`s6KMnO|i(sW!FOV_`nB1l6
z`F0EVN>hN0ZfC!l1AT;z%P6G!=rQ%*a&#sgB92QF5bo~*`O8Tm8A<<5IcrpNM))LW
zEmG>(Hcth;Rf=`!N_7qnJfbx-=LDJ>e<{J3<(bz!<v!EPb5A{2`DU)y<a5fGo=u7Z
zdhw4kF96m}*kjPH;+K~&iUfgicK{D+W(npfDmZJVQ{+-V7b2;q!)=QR$G5>OlNh+9
z{5ENs$uW=Z^y~r|ka%<gqW7&6XtqX>pEJL-Y%oh#@Gzd3qrH{RWQ;=#b7UO-ZSlEW
z=3iVB(Oq!MY{!3I9|a8KE<c@74k~s)5%Jr3{RwkQ>L-Ll7$au-fQuVLf$a86spsV0
z2G+t7t@3Mmm!&lL#cxPhaxwkD>JxQ(g-vuFbWoAxUoYF@<O4yaVEMizO*%;r<7~H~
zluahI4qUa?C^Pc=q}DrW1W+K|TZ2fdygx^=_#W>QLQFft35oG6S_Q!}lBL!yg02HO
zyLhjn>etw1LW7CwkG~g2O8?XnYtL4Uou}|615#66ox})G&_!`Xwef?YqFwVqy$k{S
zQDN?%w;e&3@N!ksu5gwEzacnxE^%QtUD}%wemG}Lfs?(rMQ#xb{0&X;5h%h1cs+-F
zeTzVV{Ev@W3448{I7QN(mxmpNacl(wkrp4)f;l7g0f>Y$g7hOwd<~Q%95W<;j|DS0
zSe@!Hf8|%ih9bHN26{gNH*++cZW|b@j5sgh@VBOD!@(JE37^C5t8U*|rZ1-!y_3s~
zy#n5_1#N^@qo0=i<0QjmA_oVb_R3C{fh_j~t8x{|A5}HNmY@Fi$!0<$Kw=eV{+DxD
zAsV`Y6*2b#y0n4C>yLRA0kj#iA&c`*oA!y?7-wniiN6X5Ez+hCQ@X`s6MfADTjT;?
z-NWDRMBoK@YkRR8uYj?qt%2zO^&;<3(<UcGi~VCL;tIxcH+!$T>p$a|3AMmAdHo7B
zY1mXDqP!MrjG_EV0DlYo6BA~?8pbSyEzsTJsGIp+;Ckmbz09%{5Yzs5AJHLb%}r}~
z)DCE4Ol^79zC8qq>jjwfEA^`)zu!*<j^2k?2uxDH^WvsJasIzvw80i}+JQ%eky5QO
z=h9!$OtEtf1VEZNUmh6`wxv_)#|>I*enrM&G6Wq($Rm-U32c&(b6sjv*q?o_zs;P)
z65Hc&<8>ohR{?v%kfyo~@Pq(|0553y(T9FnHDBLTaFkTUZk$r2J&M6}@B47!Xt8cW
z(_4(@ErM4!Y*A_V9-9akfnNQ*by1_kkbdp|!`54dRkdzm!?0K&CEX<@DBayCouY^|
z2-4ln5(#NULRwlB1?fgQrMtVk`+XMsoPFLe{&)#G=X`SHJ?`-Vy#aRUhn7=2xzSRp
z2^Y{^$nZ7g(@f+A1?BocrGfH5kn(mb5xZ5DJ~#M~m+pHB!o)iO+z1NHgg`NRC7doy
ztpsw4Ft(jjv4GBVt$@nzEAip=IqE}<Z^-B_R=-y*e!5zU7Q!*y(T=e5_TFpuiwJUl
zHiP<<%f2MuEdYOhOA~LzF66scxr8-ZR0MKkpZSM2!G3yxOS|H5%7UJ)LVf$p5O&->
zUz~!OQccFl^ek1n>}~G_NqKwVGY8^(%aMykjT&L7OxURDLw`AddI#OnU_9F3uLtne
zu^)hS4it?<ka9CLLpAjfkrfz09b#&Z><elu$U~an2ZX+y^xXDc$x?+!TNIO@4wH25
z(Lu0LbOI7c?^i5<lrZMN07+I45Q00OdvAXYa*PL@EUHO7-vGAQXae9v^BsV=i?~B7
zx+r7Ak$T$`%PHL!Sc=#h8W@NZ(9E@G@x2h3`9Ln4H%P#!46$YboeQwW1yWW3Cjy-H
zLMvBV;CinqUp))ZY9yS#Zl(j9;sTGQE(uMdBTuq5?jae|?@d2xg*-rSAer=SiJape
zj-Cuku93PCzAa6=7t0wCNT8ShxBmL8U17sU1foP-A(eBbU=FKsINblIM2=_<aGhQO
zu`<g1wvOOQf&^-8t?C!9K&M>s8<a#f)lG^m12&Gn`&tM!O<0p?<I5ZXA;D)<vHq<B
zM^VrJ2}qt^hT}Sv!HjM6-E;~YtssI9{A+K!zBpPYA91e4Re0WC)#vD?B>sYbK}bZz
zak(P}=@b+lWCUP!z1aZt7XMqYf3I}`vNi>T(y~wKwP3HIa^fRqv${thqVeB^Tg`t3
zX|yZM*wf#ld4Hj~J?haT^5*H+HM`YT*XwXGjRVfjt>V8*hd}O^L=0jg3I!0+3l6e>
zed1=jEqV#^OM!eEeBF5TuRV><!>+cBV~*9R-0*<Pof_k6ry||SfR}xf2-#9QLr1w{
zw(WoaH(Q7L6roRB!0N>5d%_sIPI>u4!^%nb)!0eiE|TZNd2yo4v4<prt~I!Q5h1E5
zDsJ6yHSiKhPF+N2)ql}rPt?L2!!Nk`Fei$9^ITGe+&o>ox%<TKlpNUst*1wNiL;7s
z!$?P=t>0-m8XZG8nSjtg?2V`p6vMm6|ELupLeR4n4gU^KJTtiUD%AGbnAs6GYSH($
z-rn0$HDkv(Mk>iIR;{E#JBp!1Yc?`)B^5O<l|Sc|zKepO^8m4V6AXXHKW_sSX;Ryw
zeRGsqd-<@e^^V6aL6Uz3%P^Te9`SP63TASm#KIm$$S2N3{K4%&Mz+)iQ(C%1u&)2#
z3t%<rHOa^1mQLr1bdlo+AzCFkRvzqtBvGzv+35D|mnP^2PM#V27iBw+cFZq=RHFb>
z|1ZM%U$9!XivQQ{*gRFN5!#yix6^1wf*-~?iUb=51<w$IeV3Ly%xHOJF-Q{&TjuFp
zQ#z8arK>=RvE?%`9y;R5cmI|aJtd@0niV=CVrus{%d}h1etbMglaex1&@mYsDoB0j
zzysl+%NJzuX-IjWHFGn~BjxhjuBxM1TM5LfrNPT6#|AY2UFa_ai6S?faD<~7#PX1D
zp06UbdGNcEANw6{fa=U%DMw3E0C%JiKs;WY?}9RtH$Zj$#})tQL}rjdjW0!A8Z??U
z!ah|XCS(UXBR3Q+2U4Q!NG#?oxgBSyXB%tcl>oS-yvnj9fIH$t^tjX&ng6ddV+!Do
zj@`CO4L`nml`r?|syDoE>HdRO*RtJ5>B+#D<0lYa!*;O&uRF<p18(~2_qQ|uwZdSV
z1R)z|J<We<KRdSX<(%CLga__spzueAysJF1-sOBJP)b@EkOJV`|6icwBy>IM;hVD$
z2M<d`@fAqpDRP~6`*R&b#l?Iv%&<ulor-%hwy;FMfs#wuOOO!La1s3RFXf@y3Z!L*
z<5VEr8*8J&+D2c!!F$qaNPq8vSlrRy#JeY)mDYs&&wxI81Eh-Sjp)CZT}=nF;L)HY
zLHMpNN%Is-i))`XY7TGr!Mjb1>cHlb7|SiLacyMFSD-Y=>ZEJR7FnD9KLGYspVh(E
z!nqnkFU-O%(I2nbXBi_%1a0S|HMcF);Z_1L(OTAS4$WyTyHXpS68=8*i$kj${vZtd
zLYy>f*!GtDA|6|Y=`L_T{C}Rm#3_{Mhn~{}ew4HGZUh_f-}epjQ~-Ee#16pD(`S74
z07|~S@E@$Q$xDBgF^=)Xae4fZ3`(J`S4NLjl#x;EuFqnx*i!30kcbF7D-h2Pz`>Ii
zh`|zOmxpgWkh^Fk681n4ti*bQKTkg8%nEx(+~u}5<>Vi$tRqEY{WfPWA%(Qr9$Dwl
z5v;kl@#RM`qdn-)`Lg|C^v}xR)bd%XW=m+o@wl)qO&|4}$vN>mg1Y{=!XUGIbf$R}
z0vsCYIK|qIW>hKq!1}I!;i8d(@#RMZB`VuHBT*nq|95ymInM?5jKPJ1^X4;@cbKkZ
zmd2F#Cu)+RQMr6uZg?5@*+ThLIb~j{S75(loG}X9&VeYP5X%N*NhxPG_8|afB<X4m
zQ+-)@V6IqeLIsEc0{vD1Z9-V$ID1t<RY%T*&(xOM_)V$=IC5%^h>U-j1iw9anc)cq
zG{3JRs;q8nXC7dxyo&qhOi6HpTM$Vm5L!PfKvbPbdDMNpHDR|MUEF+ywKtM=)^$mE
z6yNLRxiECm8fwtoxXp1xI1<*~x@Rj79M^c@xay2`Pci`&R|*Q|1bCg_Ad7stACo+^
zsjduPX1jGjio|xx=<Jb4V|FUT$@(PSuCH32%27gJ!|8(6sEsZ$z;eTwIN6Cu=n#Te
zMydWBf^8&(Z{v!>8&zZ`YPD})(vz(=-<Me>Pc4H?2sm*(7$3g2Iv2m_<WuG0E$!>C
z*ghm0WRHEVoPIVh%`Vmgc|bAX_e}WF0!Z{`Wei<ocUC{`_XTmYDZ6!Cf_!aQ=}Bd7
zq1Y?01sk|grS<|5j~$zI(_k$9ppQbJ2YDuln?<*7|1{5*eAaGDIK7VU^epZ7Ua%`k
zY4iA>w>7RC)fPv&d=&9|`BZywxS0)-GdnUDJxGKEvBkgoml5bUBZpTf1ruePc!ksD
z_YHQHyY5)O$c=<%v5U>vTDPsqLe(g-ov&y&gP0#yslPVu2qs+tKiU%bXW#00G=cC0
zqDv9d9naeR!lm##WQ4Zy+$^c7McYWgIXRhdR|(5!xO?lyZ;em7ItyY!Y>(<Z`78QF
z18yP7H8cX&Bj6EjAtI3lxdEs*i~<(TsF=)JQ7~nh>^rqB<~@CG)8<r7di1DQ@EfoZ
zBw!5S%gVniU%)>s0W(GhE}2p2=*S3RO~48PfI?TBSseK5-*{km??CgnG~Gsx(xV=D
zEa%AXdfcX+7u#Sw{$(;%u%Hj@>H$EMw`*<`^-H1<W1HJ#+=0$bz<X=QlCtUa^*4kK
zH$cw!YEmFMN5TRsRlaR7#_=qZ9<kC1RH?saod&V0{J9Uf_@@)D>8_(?%W>9bKGVSF
z6p{l0RIK+WMc@M#paNvbZRYJ9O>?ok#YusezK1#ia)A<c_S`vhZI`y06Ty=>iIlfr
zkb+iRsXTUq%3fbDIi>}dHfL}K@7h19Ky0u%TUujHZs!@;5&2yM{Jas2aU|W7gmDxm
zHAL9YRN)4z<MBt7&L(mVg!!<%ml;dQN)42D+oS|f=!<-ZF7t@RPJ-KQ(F5BsXN%P~
z;>+Viaw?pqD!`jef&CQcaP|ZJWksW)*R~e`qI$XRRJ$(8+<xC}o2&)}P&cFS0w^2&
zd9=pu^GlMYpcTCO_@8>!rrktX0@;1hrxfMV%oAy$RUpdo8BPGFtr`W8V-F$N?Anc2
z;`*t6tKz#!Tz)^Fpuha$zfsY}mfyQ!4qLwNGpgz}n=ZdAzwta(+^x5{+o^n<$Qw4s
zqVUsh#}SQrVp2m#AMl7gofmCf89voT9}Y$MdiKp!QD1whN21KJ)v6#hcP^=Vny;K5
zV$v<BxW=MW<2@{~`rcLxewE3q?uu(DbQ+3p%kyq8dz#GntS31f8&CI0&afh7822&4
z49usDn)PWAG~~sCR!%8;eE=f040waX`ee+x66IhOC+dAi>q!xZ?6^68YGy=BINq)m
z>E=5hP4QXlHh6Te>d$!9c}1N?yYt)34i|1&iJR_uE!4k$T{n6Clhy9&tH(NGv5$dY
zmI>Y(dg$eNe_ppy6MajZ3V&EsL#2W@4=?w5=7WN1%652{R!FB0yv`$Kf$dkIxW)!F
zztzF;8#mG0t|c4cchlYabMWZI2rEDV?QU6Z-AiQ!I>SrWh%DJ}@-W0YGKTu3IupJ<
zld)5h9zDLZ$>5(~@!bu7NlstZnDiP`eH>0hYV(n9eb?jnnK$b}+4oNeiEtPPI=E0z
zYoBNW9~N9?JxK1HvmUlpEH8|sI&lrN_l=O(aO1$UUcNaLiX@eFy_$s_JTA4zp8gw3
zSlH44D<@JJ3@+|VGyx3f0=D3|d*26y?Kk*c5?atrmHn+RJnuF!H^qRZYGEZQSIfQ1
z|8j4iQ#QNMb5s`iXdpDjMw1KP0luHl2iChxPkl;*28QFQ$c0`_r_Ev10>x5%z`Hk#
zIgQ&yr2#tzh4@0EV@*l-)>^h=#;XlCP%s-tRJO&Lt<2{Ot}Wb)f%A5CL`wiRdZcja
zV0&R%$%LXEqigO5n6J={DnGQJsR1d@1dNdTQD-PXtDSeJYo@FW*hQ;(!g)4E3U%go
zXULN(a)t^b$P2Pl`LclD66YHLH7YBRw@!iB5Qls{8~svI3yju#MQ?MppisSrE6f+}
zQGZoc<H3Iu|9LdvX|xRZ2-&YtmlxDq5aH7;zXil#Mjg(4vzZZDiuR;3a{e@~onM{G
zY|PP8Fuv?Lg7PM&r_oGc0Z5U1bv2faGT&9MmH&>*CR;$6_e$eOczyc9-4(fu9$XI7
z_oqDQ!=D=uPqr$oCk9Po6AFLXIo2@~%0+=4fG^U^SP9g+@b_5i+&#P_RT^tu<(w}A
zd@Txao9#`%FHZosOB#6_@t(3mA_AQy-{5HWsb9fB+thYAMxrmbFJhr@0kT~3@#P>I
zMOtu6J5CVuD~tP-&*ViqvkRKYFUSgU(SyqC)wKJXaOxazf<Eh$e1F9X$yVlKOl_pG
zA6)A4i?gHv`JEa+=`%aj=D31zKuQPu4UETbnH`Wf0h|AV)$mgJWTn_~gcb*n9WhZp
zPl{^SV65RfVktXs*Nto~hs@}34JWAE03S|3XbS4l5=f_q?yH2e)f<nK+rAs87O4C8
zdu{sW4RWD~;|Gw7^Far=8dOO9AZ8}?t|S4J1us{H+=akF3juB+?RMJB`$PX644FU=
z^ZN@VNKZA$8<KgRISqwmfILs(MvLBN<2Odt^d9*yX+la+y>fJSTJStP?DhUUO&k7v
z#vypV%K*tr%?lFF|Bi)+A8GFJoV7>t`R(=eSF?B{mg7?-*}!8A!MxQ}cs<M`#~nQn
z5U*STS1+ysWfXq&;Q_ncxqFJabtr@PCm5q@!{v$ZJjn3wWSG%8R1cjBvmW2*d+tU3
zlkL&R0>hvLM{7sdO6Q*Uavue8Xpdar8pKro-wB_ixp)<2art^tLVE4sALKG(K)VKP
z)T5hdH?AT4V~xVqDIa>G?-c5qE&68_YLj^ma-u$3V-_CitmgIgqTlp+naK&+y;TBa
zoWdf<9rbgc#yxTVhw8icD|hfXZpy>@QVE}=N^~^dY@tNEU)Xuva8+B9<|vuuFees~
zrKt~><9~AeIArvmS;%(@KT4qT?4~?oxQ-wn0%k*~`z-n1OYKJovVggWr9k2hG~`>>
zg9u}lcb?|JofP#{Yvvg+d5gk2#Hxgn#(6ie7|T(W(689?u&$nhW+I&en3Rg$A|HWS
z3bJV_)r!V}1aeW0m9PLaHocUB%j`U^QTi;%$;k-_({`J$6qZ9?u}GMh(wal;QNPom
z1b^*b)*7^yYpNYm?D1M^a+F9EPJ&#^@^d}v98~|vwcu~`@WFz=!*_UCEE$OR$=cm=
zZCEC>?IFdd-v}bv`JOs*uvK`P<rE-%0Tzw*&2N*V)!trW=P;ltb^LLXYY`K-yZn}Q
zgg$isq&Gn)&|q}5Q^|7xuI4`}mwaRRS{Udi=Sp}X2aTNA?$Ibz-<`t(6g@?-HM1Zl
z^PmDK31)SCIJG^D5$zbukHD?x#DzB0s|a+#WiYb#&^Vz|@V+C_d558e>&HTR!Qg>m
zhY0wPm*7#)y9b6xgiq-0L8WRGyB^QZibo)NoE7;}@kY$-@0{blwkNMKL{vkeJ&jMR
zNi?6sa-ning8T@<^wTdVrd_@c2~4A;)b#d&*TEU(lkOO){UON6@JdYu$iA7|T#cdf
zOg@On_xux)kHazF-nOYkbU(eGNc9?+nCkD<Ij5R`#r|V^&O;(ECzT;QS?wc}mkKZo
zYk<+d^Sa~msoEPDaI*ZI<^uZe{hI(Gwb-uFKP9iz{Yfh?e|}>vP=JAK<(%hIAwY3X
z=Hq7RSkFJ_*CXhn@Ld1ON>mP_9m5$C31omg0wgLl(Kz<c52Yj1DtkLLcU~1Vg?ra;
zth=cNzo6`2dJ;{5O6uO9A*ok=E*>IJl0YaI(>VN1<4Z&88No<r0nn81fS~-lol~-i
z{#o6BcC0UA3Y19GU~G={=vL=v<poh`k0noc%YQlPTGwgY(#^{I{isrgy|(vnNFxZ_
z0$L4Hrf%WxESZQdxz<8>ksx5_Ng2d=TSg%F6~W1vchoY0V6>MBUK7myPfc(n{`?zL
zkR<xpZg$c9=(cEymo^0KU_T0?talk=uim}jEKqJN?jLb|Zln4NRRrXb!-!Zzm5sje
z{?p|_f*ja+HWE(6_x1-90SD6Sh394RZ-}&NTz5d3Pr?vnv`EY>=iazpM5ch~)y9Fk
z3m2H6qFJ9lSMV7yuAK9cqwK?@>gOdRDLvV+e@eUnUxX)d@_#e}lE&`o*McsF54WNO
zR}=r^yoQ2!2r-%|CkUzeud#u!Onl_ux)^tl8^_xvXYSQL5?=dZ;kHx>sz@C@xCZL^
zhhyo<3lJAZ20S6=zd5$fKusLT>GD>M#KB!iBj9impTZN)&Y9h3jAwe<<;Tf%e?5Ms
z`SQvOz$1w30*LKWZYhPbnt&f+wPy0SDMp}d6cwc#TK5mtzu|-x@Va1h&_)6KzUx9p
zE;55^y6(j3uY3csohl1w<SA_32@G`&Gdmq|dqD1`__Gvz|I?!(Bqk8l2AMuf0R4aY
z2`xQJXfq$q#rd^~#Q;D?l^*tLcEPzfp4x?s0Hz=U5NgwKSO4(|@)QpqM&cO`!UXU&
zjWc1^hjGPNytMt3m`Zam*V77cA0>a2cz|X-UFiU7yB6j_31T0JyDojyde;jWI^IZs
z0k_<BYgKikV+lCw1dr!&)-w}XvL$TLKO5D5Uo;}cQ1%IBx06SnWS`esKPC5sB5N}j
z*)KGK^yKf?fTRRla5*|<=1sGw=8K?Df;#t<C#AsTvW@8gcjG65lUQEC!7N%zLAN?x
z94FFPM_~Dv4P3y|b`EGZ#zC_oc&!DXeibBq`*3SQfmC7D`UKuvs6W$xNk*Igw?Cwe
zxv19nO#xY-$?&&=sJL&qu+hlCpSVQ#Gqa!D^O`+MgFG->=Kcjio`xqh2ylS8a8DlM
z0-I2Lmlq0d0r<Q|T=ApIT(*jcd*Af`A^+S-?7Xnm2XBTn(?9Y34am`J#7sG5Ho3V!
z{sd2?fad}I^!%Tn)`vSWw;Lev(+(i#pnC4_C1L69y>eQ?=Riv6o8<n7Sfn2j$So|1
zlj!?@8(}s?`8jK4)&0+vf)gFzjExiBM;C!>gZUrV27VAHz=bl+It4K-aGXZyz;kI<
z7K-=JS;_--IyN{`UI;`)hC!e2+u(4@SvU7zRCTXMe<fB}&kkXvvn^eS#z83AaJcqC
zGB=*(&2PXWiY1=T_)p|e0_F-5ic`w#fVhcT)$lInfzqVKi>RNXi}3+ME=djEw`JG{
zCALe|m4nD&f;im!fVt=QEYTJyFn|w_70y#d^z*mP%Zwio=_^d1ZZ=S(@iX6m(`PmS
zyY3tZW7zQ79qt~9o79`{i=71P?yzVWC=9K#p7<Rpo^1B-DA2}{rrE^Y;2B<6;CJHL
z+hLpLD;uA+61SGyS&h@1eyjjj5@C1iF*ZHm0)1{6yEEHU&RAjjE9_GW`+!hLjYExw
z#sVG3qvja*M?fro!xE0q_n^}?JXOg!MP9}6-75W;l+KhMdM5_bsrC!6KMbf-B+0FY
znB(touNWk_jAbz(XlO9aXz1i^UmZI^+-|+km2I7v&#ncad1bW|9eG{hH+Q8OCx~aR
z3o)Mu>?fW;p+^WqSra4z@WugC3t&E}0?B1iToXwtT<%T)_%v#_e%74M`P~5m%`A|P
zX+`dd@rP<h_*2bmCOfn<!z^(U?<TJeMBS`jG&o;OZ?3sN5-^<ap9$7%hFnEUxS(ag
zg0Uaz&xq|PL-59J0M|F5_Z{B))o=^SkQ}d0caWcT(4^OV{%Z0^kNq(<Y?M9&!M4}K
zZ5R(YH;d^TjyLfqxLA5SyF027yl8)DQcPn<44ubyO9$u!un#CCi7{g+4m-0kA7ku#
zK1D<;Wk5u>xB6R?6)zEoy3OsL-g%{RyRA;FL@pe`M*LG(EhlnE=Kf9E{{Q9TX_t5e
zGFX5fAV)HmfsyU0bf<Io2Pl1i7gQH%x~pVw{BeH;6a|~&`Xu&F<m6yDG;deO(V&`#
z1`$n80)n?L2!nI3X%!iQiqENX8$br7ZyC)as0*lm>Oae0Fwj%Oh!`^-RJMvEU>QJs
z<otJJMr-RBQlo@iwuj$hiR5Bml~~-r%3Kt3U1${Wo#f1^uWW~3J=*o^J9hN>FEAJx
z3GAYDBs95<U#Qj-<txJ2cYZ0s&K(^e87Up{y8ZhE7pGs3HFWU}_>AQ2D1c!_OKjl^
zoC9Qm`1L*@#He>)Uv{bxn4<u%FhyHOw4M0oHjkH&2Rn1EJ!?u@v-7?TTDM!wmw&Z6
zZc9%Mrj}ufngWW;kRA|Sx^&Pqn34#nfnU->(C0%r-pGM@)4*JGMjf>2BEqSJs)Lo^
z=-sa?y_$p}pt=`a_<)bj)k)JpJ){U8YejqFuXBwwzyG+O5sF3OIzQ{RoyzYsUlgE~
z`~0s?@?6i6vLbxc{!q`rMnHj+-mN#de5}yTM~jHYgAX>9yEpf3jD#LeqVK+gfyl0+
zf#^Y0)bw44Bod0z(4Xe^RKMX1dV2`FkCla<);C=Eo9O#>p{VX+JEcQ|iE_jbp6AuT
z_agqWTBTN|sic5C7*_?V_0;X`Up?VqOfttmvf{yuGsRBrjfi`9ua6oBA80nzRaXf8
zro7*sXbBa=!{yGUwg?@-sJ)kcq?7v?EEE(GxhNe9-j#sH;_XAj?5p~P=k0aK!OhhP
z_DPLz_obJ9z1Kj&^SbFTz4G@P(~VQ<c2F1Y(mZ-{t-N5?Jo>O11)I+7JbK|enuO2&
z{PR-o576lkFtV{qx5B_?>d|E&?2@r7f)$Fx(W>{oh)SzOVcZX)p?h;#<9eh+@$sen
z^KSTI1haO8V7z9d5cNIYRQ}#kYbT$K@YlfHkj=x-bcXq<-`-O%@#{8ejRz`};>J>4
z_lKAo^@;xtJ$T&bIl@4V=~QUF<%}zQYH}GKXtlp>Ne2_s%V{F5ul`I3yKM9PoV=-P
zwm<#Uh^?ejqgttq<|O~T#eO)a>q88FZsaSp=C%YV{k|AjmPg3{EF9PhYM3XDe@N@l
zRsHdd4Zr5le8=+^nP?|iTukTHIqt^aa97fB6#eMW93ydm(4x`MN(I24hxs8;)PraL
zxoG*skRON24uA8MQaIlZhMT<U(4Ou7fru3sMztEu6No!Vlb2Aa7sQ{)C(WJrP8rOn
zP(}iA+LC+M{eCj{Yd?ca?d-98U1dZxdBQFGH`F;~9MzhQuiEgT{dvSuhZ#LjVIayX
z8<%@qwnpbu+b;Nhc@EY`$0U<7_kTmtfXEH$q*akFp}Nal2E`H$gh>m`%@jy&skicU
zU>DN(f6T~L_HJ;Nv^rx;3(o)R(@n@{#R=Xe2;P<amWnd)-*=hIL7dhMD4F<MMd;Ly
zOdDsY2zwV_was;7bGe@$3*s6pFSV#MGCEaERb+xA9Rek2j1aJzWcg=N;4%>=@uHz5
zuP;&~?9jBaj!R1SkK!1csL3+T6Mc#Xe3?jD!q|^JDzmHl8yzxWBZ8>=8)$wE%l%(_
z!$60#neezq{^nDFSNT|QmBW?{0eb|UXUv3w@CLe2t2l+jSlw*uLvR*Plq3*!`%1EG
z?r+%rArVBQKk;hqG?4xLd+{v!%#Y6a>y>%q4(`AQ9rm{ooD2Py^J0tEC3yKxKzInH
zQ}@P7u%Z?D$g$S2Z`RCiKjrGjydO(`2*T}ne|1Tu<<t(Tx`LLY^@gtc%`Q=9m;p=m
zmsx3~Axw++KWnDaPQWbMz@4zI6&x}~dl@0Y(q5qLmg@S_?$p_`2>BoJm5AWTZyZH;
zC^&5AP%PFpQR&iL+j=CnkJOi&5XekS9dMN|oE+y5-Hh;uRL;J8=0&e23tglRz2po@
zRorYRVFj8Fd}kLo<j8lzpNY!q@AqmXqKDo`naOWOIdoK)h$2g3s`)9bz@?6O4i1{u
zQBE0NJ`+qpD6>G%b(-{`&(mMHZRuWkL`YJno^_{_u)KS`f9Ue-<(%^~JFP)qwS9NC
zE90ZW&8TiFp#4;UloWn$0@N4}B2~m#=ecN6u?m9}H+(|Q$p|WAsC+W6gQ$3=s%~{m
zc8q$#D3J~9-J@)DY}MX`dth^vCBQhKvFkYW{lU=53N#BH+E-J=TP>TcR5j%i+i(dj
zL5GL>=i^>NNE&^Rl>pA)2a&Cfi68LC;~IHWFlypKo!S%s??IE1^!@qJ^Q5MjkGS78
zZ#Z!-t}D!LQ~&ghFxo}kOX&oJQ2y&WTpa@AO1GMIODhL4j<P0tXpzeNPp;BhC|P7<
zV^E1!0GQP#e&ZEcO<bv;4~^UpyD=*Vz9k?jf*w-+{rOs9Zd0{F6t1t<F(AbqMBh5+
z2%O&;+&%qfj~X(&FZY&&$Z=yX6@B215(Jz+#OVzDya~K~L>P8T<H>KPN)*)X7xz-H
zT9FzOzN9LzM_CufS(2yP$N}YGhSdm*ZNaxk5<E$AlpXiKGwXo%;nMUK#_k*e#!TG;
z&SM_i^Gc*sQeo$_uXgn%t7Q+FLFj(4E;o~?-dto*z?YLf$7?Xd1x&}2Ap_y(+Qb0g
zzxSsf6KZU;Gh94Gq7<^Q8(}#)ZegY>XeM!o=yAem;I&x3W;X>GmC`11oS%ukrGf|y
z>J``;0bu|GYfWzco9EU26yUqeLk~k`ZEFoZnVB`;Ohk$jTnllsFgo%|o@gW`^<K}H
zet<>d-Xqywe>A)55w^F%mozPsl~EHh5Q=Ax3T{_WB16Pype5&-yMLG2I2ilXIiW4s
zv~(QclgAFX&htwBXR-XnDJZxI?ka|4D(*t4Jzv{skJwfCj)|SbD(~55eiMDL;{h)8
zBOb$kqbsUWe8g~%(l!8o$fyzS9F3J|#!*Ay?|EsF54Du@KhaKkJ+SkOMXxM{o%Y%r
zCzvnoVgAL7!4Vl2_InxSBIO^Pr-gUWCpvL!ITP<P=eO*2k-=v-b$yu3u1d;n+N1wA
z`p=ZBb@!g@(+CAS0~8ThgBZ!Se!pI(nGqTf4q_joZARzdOSIu2ggLbOlScmUxxN@E
z@(r*18mbvF+R(|4|2YIn9~)QCW{m^@Y2sAjm7@QYd&{FF_t|Qrt;=^(%Ua+zr}#qz
z@{F`0cuyn^ffjh|_&u@AVJpZZY;7U%r*V4W_y_<W0%}w-&>%&K;=0^s3f=|--eqBH
z?22=J^16t%f3Y<TfTxg}*+xKG>nP}<jpWzVdeDz26^;cv88g_kB>uJn5X80Pw~P3R
zT*^H7u>M$|udHanRN{`1ADVXBbv9;WV#~eH#*2ZHio@rCRy%6Of0kgzOBBA_^d#XU
zOC;Hz7+M<+;8eC~28Q}2XkcSA@jGxJf{b?)6fA8xCnodRgdU~>cgPUHHAz4{b*B#U
z7m`yry~tdB>NT7a5wI3AKj|M)Oe$zOyuG=?rWE3_qwpvPjUYtwnvMaE?F=xvp<|rc
z7K38*Is4{^1FHa|>(YeA2parw#yKB=dP>oY<ybn|$ZOCW$Q7^+XdtuJ0Ze<#CUCpK
zcgKfOwQK=POyzam+*KXGm*wgZGJvxE$cj1N<R&;Q3Uokb{$W~-LW`ry5sYnd6}LB&
z_r;o!({tTC$>%m=%?mYqFMRu}k!Aug{1Sj5cJr7_f+mGZ5T4c)q!1VPk8|6)Phn-&
zd#1w8^)w!ut~@+MIF%8*R#C=OJSGVT;AC053-8!24IIdl4Zh4-2AmkdB;<gp<coIY
zZ$H4iHV>8wMY#r4u-pQY9A*#xJ_=6b7Qii#w#H)Vw<1WGo2Q)Y3dqWGn%ort6>AdP
z5wwKEyr25qZl;>B!p4_52RBp1XB;dlHej`dAqigyr@4LT5CP`3hOjA~^8uixRYUlb
z&T|I{6Ye_bqM`*&I-<eG3H8p9+ttP-8UKD!O<fFJMzt#B3tfgW&gNhT2Uv&TaliDy
zEaePuLmJwLatc0o0h!ZG1S(FG763)b=zXZeCsMopl?rd2j?T+GZUhJ)ea8OIM}PJA
z`cS|RU{$B$hok<m^uIuG^AbX(x?N%Sn@~TY6n4$l0lbun!fv)x@2g+@3S+BAEz{jp
z89Q9Zjf>j^%r@NT<U^)kptn6BAXQ@m1BC&-iJSrP9~0O>&zste^S8p)I;q|*f_Qb_
z2C`Hh^h#X`Pvb$s(?=GSFR={DQha&cTpwQ>`0$EK&L827W>#mRa}n}}A*Ih-I_{(8
z<>t#>I1Bn-pC6aL|JW`5?we8?_4*~KY3_D9JSMK+M@F{C%7zVEM44JgI`>6960zTZ
zENf7`w(GS!U3N5T=4Wy3)E6`P9;*EToQdZQlST>|!q80{;%NP2a_0xK0b_qU+n9RM
zA4q0f$v!^#<?8&M@ghGLy|+1RJch2A&S)CHSz)x*#|JP_CDg`o#e}hFt0d?tQx6Ll
zzQFmar+ZsiF-r>-T7gq7Jk=9B03D{XAv{fCii@!W>6N+iS>Iv%!y2kN#xa$9^;d@}
zz$a!vOj%2gm%v8D+!o(&vLKEi6AE>;_1i6fY$fiEKC}~mC6(hgMZye}nU5^cH*VH8
zZy*m<4JRf|U3gKD?e&ypZF@kEh!J$+<5~Bm2-E2jkK`E@{3KzI!{z+Hhr_5l?>Y|v
z=(&U5J7Fhvk?o)w5c3;l4_yJ7lHPutdo2QEjFmVL$rG6QR#8%^(DkQ%_FHAn{{Dgu
zV$MPJMs9K_$WIqvO2*7|VK`Df^4@hy&*GS!NznIvI--C^z%I7DuZaIfS;DdUmHhix
z{gk4j@=U2Aw(%Km!`gWVvy`uR8djkKh$J4JcMIDAgd1szJQ;WXVYzxOusWWmuL`O^
z^Pjk94^eT3b3KAeRpj^p)v7EHruunkGlRZg80yKaR_OL)qpq=P_IIAc6b(w{VOd6t
z3Y|z(RVY+So(P+wHIepR*xsrj@+X#txWOmPLYZ?urxT2<Jj!kucz`oYzrH7~W;m7C
zN|OLy_)12Ok=3X14qZH#K2mcONfw8lO64?Uv$Wm3O3Kd#R_1`Fl<5&>r{~nmOOvc#
zet{GSxQYb7DeJDtx8p%l$vlpF`QeyfHbsUmj4J@KeSs0-2?%gxT$<)Vv@Xq`gAxY=
zG2AaXaKha!)-^}V!JD_cF!nK==_+mc_?TuTR-&%`LBL5LknNs84!{`|knJ-E?9rUr
z{nSF3XmK}ev1z;;@MV=V13lR1obCp%YGz(aKF6eEoGStm)C6F00df%p{&o=|bhyQ!
zN8Nb&f{!y4{RvySrV6_=Dq@>C4FT4B^w#%(|5$l;K2G>NF^7sc6u2wQ><J2ehxXuY
zcg6tAG6S>Mw?7w3U+4Pe;B^#x1DHBIdVrufmG{lA7`YX^EzRfk4)Hg?9rG|gs;`C&
zesYP4sg$OP>WjCD&%#`mzH$8cyLXCF+@f1|XN_w96Qv6s{_4}Fl)4%?+`Sf843DI*
zYc|SznGOWejfk|^s1T3xSF|#^xdWa43NrqR8?5a8n#vZ2U%3VE3bN?!SbrGz>$ufj
z@znI)FMJ7|-!Ti9tmJJ`<E(=-TaXj4&Vd9a5)agowT8>{%vWLK514t&Jf>FNDjJg6
zYLZY9!((2CJHOT`ss(-x4)ALpaw?O7AP(G>&ajJNTi1uG<|)%DMrWDNXO9Yz5D;wt
zmkXe9FcxC2&8O7FVZy;S4XEC-It(Fs%?XO#?UZi1Hf1=p``NK7OyV+BwD#4ivZgp+
z1TrVqF5m>`uYOl4k|HXh@<bZvek3}4JaIv!@%WMaJj2dlj3Nkm^+eELlJUE<tUPaA
zi{cYlL~XtW{G2HZvV`dLQ-IYj5t1j2*XSXes}m|wf9I54!+(8qHY+~NK9cvyn?l?}
z*gEh8#E1@4*mAtOJJ?(-;g;SdnB9n(?Y-#?NKWj`0wueRm=S-bs5*5$&2u*K#BSDb
zAP-8(qI3<G3Cc0t0OyUYDny#sB{kTHuI&>Ry$pXBhmd~ukj#*Py85vD(^z-KLKiwo
zEAgv|zG`*Of{cCK(*<+WPR`;#T4@*qAvO%_72yadQe^J7XfAjA*moR#Pt)Nn<%b|q
zuwp9kL;%X6BeZt0zNw|A%s?*~6`EC)iGbmTEwr9N?|-E2k@Vn6m6`C2)bn=lg%>LI
zyUq#F^ao8ihZI8*&#5U2d?@v%n|)}HFZo7;6|5fj+W_m+Hmd}<sMN4`bpF>8j~G@w
z#*KoDj|n6L89I5*Fog*ev+vHM?gT#e?Mhxey9%ooP{ExtxExFXtwPwc?MmB1SFYX1
zr%6V;UQ}ib0pp}@9+M`e^X`!SPKxt-969j2-^Uci)I$=;LpZ6S7;)nQz6^64jm(ea
z$684-nJGhL+E|D(fw``s_?2g2+!|Q;GXvZhJ@9Ufq1e5&mqPrXd|EX`xZOebus_4+
z4L4H_F}WD7vUGor-fN}zteRN({eGDUHR_`&M9aJ#&J&B9Q?N)w-tX*5kjc|w*i3KS
zr)lQk;?oT8{a$T$WJRuj6+CwvwL7v?s!39AzXDNEA=&tHlnN>Fhmyqs&82RpQUi}Y
zIDeEl41DojLIBs$`+Oldi%C80N6F2Z-`$z{m)438kKBea3K(XjHjAQ$fkIAp6jH{K
z3U6e45~Ohqn4UO=f|0z6(03x3KgH!kS90;)qHV_Cs1+Y}FE=Z_`lPm9IuQkmxvf9P
zF=?hfu^(C7t)G97q2^;QM@AE!XunPXQQmiI;aEac(aZRNcK!F2DAkyAg~=i)+m-3O
z?lAEx5WgxB-^xc&^qvUc1ZGwwgoUiVU1$CY+xSmGw}D`%WYy;{WozK=3b*rri8Of2
zi&gkt=J_Sr{fHam)$4=ORww!t>A$J4z79c?Q;vs@#r;YA@POoz<MwSxjEiYn8xVYT
zazImrao8w8@Xn(V*5t#<#diID+OTGP)|2;sc-S<D=F~Z;ECo|0ZqmYZe-TyQs_8zh
z=Xq={CP=R68pmvzja3jwSO^U39wpyZ=L8&6Ecwt3184SR?xkS*B;wwW6@sMr!mK&k
zqN?<Yj_r=KEGm<cuJ5|SUVXX+b@De_bv+qcPm)iwBK0aW0|kD5<ncA6H?VIT^V}|O
zXGjom(<oNBWMzwWCz_)TMl-!zg9F}8SUnT-2z6gDvtG7}NF_NaBv^lC=aP)^3%|<5
znA)a;n0MpUfq>gH9TiI9!dvJ*v@O!3Hl52s=8;3u8*uZffRDFjL{usX>6J13$1@Dh
zB0GYKUQFUwi2CXLOggN|y-JdxDo)XL8hBdYzI@$-jKVlgkTRh-Zu6pJp)Q;Voostn
zYh5Vn;VKDzd>))btBo()h3m(sh)S`GPSqeWZ%}~|^0$?W?{g?}&yzktQ_ojXq=AT8
zJ^RVSf`G)opyjWKqrea2s1-R0Bt~!Zw<e5Y`};o}iBV^cp38Qx%sG5)e;aZ<6&gim
zCjy%IT*8|+7A)njy_NVNlDnAd3sz`x6cE-w$3uppe2f1$N{^FSv8LYd^UQ8@{99>w
zK$06V(iyHva-2je&~{^;&&-3MNx_Yr52&2};;wO}_3qi|SGzvtI`3Bx1`Vn969XcB
z*6MnXh~|bwq;2wJmT?P^Jx>5XIIAE*W|GHB1smwpD)2d^XIbi5#^MW^s8okGQjdkh
z4dVw4SXz^2h3sqnL1n-c4dqSWD0(x=g38D?fuTQYU%JTk5HZ}AF|wkPgG(4~ULo7X
z0YkLYXo35?<xy;eIV)p8Z>L~S=KAm$t}I2&U@C)v%sKF>J{o^`aio^vO~_DZh`4{V
z!+uWiBjaxjo@{gy>v%_K)%o{^%kMx2s`B^(YL~oxJIBNfg4Dlkx`5p?{Ls6{7I5>W
z8Q|bW^=Q6aBOzy|WVWVj6cGHdWrB)(7tXnmfW@iHSZ)ynRNWR(26d6cD3AL$p*VHl
z`3g5HbQ-MEFFSMHrm!3)ochyVr(B<az&2(1o)P-IwvX5+{Z{|w)}4=>@;{3h@E?Bk
zX02*a|H1}B1)r9^BR|Pfx)6NVnII1J#)3xn{6wGUN+p`^BJ`Ebd%(#<)FSg-CN#f|
zGL-CDN_*A^c(<oil@`a9NTP3ti5U`a>DEBUifKSu$yDWP!GW#Tu6PZndvhxfCe_1h
z9RD)i`qaP5U;1$ZGUGd%nIX3RmwjjLi~T>$qkU?l=dxq%b8uCV+Fqvw)6Z+ITCc%7
zWBxG$iD`2~t%LpdNX71Qk{J0becr3w#iCj~yIyZ`<ucFW&1`RbVoJ_0Mv>-z#M1O6
z4ig=D?=6<=VZLl|;d+`x1FMGzy@kumSzttui)_2A_rwqDy!VrVJ9g2VkQe@i>)kKT
zj(Hp5Nxs{ISEi6Egm?J4wQkQ||C9o-j#e}s>AWWSw&+;0Y+fjKjaiOy9HRi@lXB0@
z!0{&nn|Og?q!w%0!^CcWN6B-}%grsH6jTtT4BOq+gTjc}RYre9zUT-THhZN!S#URz
zv?h>F#--{Blm3Wnv2fgWNbf(vhv|_rxy=Ks&b@gVuD*mIODKy~(cgG6`+B+L?HjE`
z%Mp6mqVntp1nGq@+p5RxpAsZU)z^dsagdG}p9`ZP5^NW<^u7iZ<!Lx~@-9dofZY&u
z4As;hbAF49I-p3v<E8vHI3}rhwY)s5F?{@Rv;Hyq{G>`?ogzTr5j4Jn*zn_-J3x}>
zydFSo4lQ1X#pX}!$422|M7vgHoBVp(BBK>l67%@?hrG5GK){%8yOO(vx<V+}Qcon8
zRBIAw(X)h*{l2MHP(9=O#kV(}MuJu^N^}AB)ts`MkrbA+ieT$U?;8&0%rFdHU}d&`
zSq7XW0Rc{7c3<-`h)9Nzd+=SG!krL%*m0SI!=|3bHb)v;u)4WxbQ7$OetxRaKTba`
zD`Y%igs0=W_9*!<V%belm1IWo*yYynF**nFSKlg=8av&t0Xl4kLo<94RO%<yJ!#7x
zZn<0W5_olT$}JpT$~69H#FMXv#4(Fk2z@OoA9LzfVDc)#lWrhA&_@b9MEZU-#QM4L
zM}jb^@BD?c<r-&pjFp$`u7~}Zj~(-DH?bl<1YnK)*=>1>FK+h2_-X7jD*0}-Mp5F%
zDh#2${E9)$M}AzJ#BOH>*R2L0n3HWHj`Y4A*6;I!yMaK^BrJ}ePn{-MkQb44I4YOW
zvql5qBlx_G$H?*BHS25{5@Ads_R{`V&Ee!dMbGN1=r^}q=h<AkkOD*0%H5-r@efZJ
z+u0rF)rmDcvYTl2ryIVNiNKIV^ghW<EnO)K#>{hAitLDrm{(^gvs*o<e#WjcFM$2A
zd%tG1pUOm#%HquL=Lo_0FKB@(2)p~No<4!a(=~FR3`omzZ?Da{*RP-$JVKJG&VCr|
zIPgg)_=vTuh$UV$SZWB~!o+>HUwpgq**L3Y15L!?^Qs^0EB@1Jp8#uZ3-FUjdowNI
zB!bV2*f4^sTHlCGUxF}?j0YY;i0DtbrME1uDw(N+l9Hck(&Fvk#7EI$d8{myP4^lI
zFsT>Re%fAR+e~oVHZjkC8q_JT2s*m-wi$}xHmdwkre$@zd*Ke?A8-d2rrATj!4q+*
z9C=*J5owM&pTBI{9Y5pkl>C;djs&>^V%W941x;O)X(LX(GIa3Iqa5Iv2N^(BhydTT
zil)OkKDlSR!aIAK?IYHS7o2$gt90!xIZCvHaLe};>S)>ZOcY1LCTRV+eR+B?56G&W
zwVIvuzTNw-bwj>ufZ1HTnQR0MZ;3b%UH^_by-VNk2$jJk<vc3lCOHjaC8yFqRqKvu
z5JL$U=a$DheavJ*pg;%R2R&w@YB3RegbRXnK5S$fs{5Y@A9$})8A9#d*Y*!r{#0MA
zHlxm~H8?Ai9_##(dc%g{xK6A2fx+q{U{|skFM<^rk$n+xp!Je0)^LWMkv#6pZT+U{
z@SZ3m#?CqX23hRI_0N3s+8FDh)_PqYsW`|VOi~sW94|Q0b8JCh4I2q%1u7Z?hd|s{
zN-D%`w)Mykqxi?fSNR*CpN1qZzpPVw?-Un0hWVQIX>2#YJJ;34s!mTUV1Ct=7v9!w
zrTSZ0Hqgg%{9J|mrwNC{fcJj%Wv$lh@G}xD5l9Hc<QDWF31-4JeL;x-P}yHL)7=NR
z5#%9d{b+?9P}_I=M<|GcNBYvlf~h91nE3pF`cfv}R)pZ?qk*fZTr~9!svX!k4+~%y
zyc`sDn{!(GnOY%srMQ%C#e3jB@?xxb<7MR%Eq)a3-=1av=MJr_Z4Sg^kI<QRX<tUS
zw4mh0dhM@1f5v9K0m4FWj|%di$9Z=$7m)7|P`#WqGkfcu*O~nuYO6Ed(ejoNQ3i3D
zt$xdy0Oz#ijEmiQ06@(SC~`%=D=<BFCgUship2iPhSh1pWTiH+M$zy&IY!D=qr`36
zL00Os!eXRM`>J}Eb=IpNE*ck~Gl*b+Ec{c*p=|X0QD_`dOEFI_07vi-ts5DPe7BSZ
z>$DUymRJeb)uu9~&TFD5v_ovP3Y?#Ffb;qV>GYU4W=1=A$Td<d`Z5|7t)a9?K?miA
zNOz*RpKlUI0S9r(yIy1R{m&m!Zb7FG|GO{Gn~)!{tmq}$5<uMFn5m|Vy4~uUa9A93
zNR?g+OZ5p^619Z1M3Pu5SrYh90_XQQ8u$&t2!(9GYmhTEyn_*|)R+(VtADP%shW!a
zaf8j+<*L<7UZ;!@7w1LRjFeJi*?gc_!Get?%lYEL8Wois*FnoI;Jt1Orf~f#fn%W_
zPO;2WfKvG0kNunRq589y-A{erZ5n=@zAkMP{uCrLZvAw{ke)K8k9PT5BK3*?`2}!%
z0(p!hp2V+75lBYjEtyc7aQu}Xwi7xGu67r5FgTKm#_tR-!L14u=SEWu3fSVcxeQ#w
z<y9;u5LOP*J@iLtcmEwf`l8a#78AJ$+M5EUSyEsZdQOfnL$#UkE=#gSFbj!}5KVxw
zmO=o{{j($$Hye+Wt}#6}ZpdOA@8rNYMfdrQq(kI(VH&G1Pg$~MC*@Cx&mE6M^D~DQ
z-A?OQc|nbT(^rd!c|5&?Vo_2!M<UM*!<|-p7KmJyQq>@QPAbYd4<0@Zo-q4vR{mfO
zAsY(oBTqNd_x2PF6If6#Q{o{)e4kE-b2;036ogIMW-7N>5b=I@o!}%4D^J69dGWVp
z-Bb*e9#q)@oqJf}hQ`ARL%eyQ%d<nPsl_P;=}FT)xUKHbrL?ES#(W&R=!L5eU8m(e
zxFkvrPvAA7TKlzVgMp}2oGph&C}X<<VQ30C;8+VyV!F7fZl#O~$bQD2<5CMkG{NLw
zI~{_9xJi9N5LTb>vtmuz$IC3CvJT@48eC0|?aR?6HqRvo-)81&sn@>iO)|k=Br>D3
zWTFhm%=fz)^LvgSB=k6)2LFBXGMfu2*8>7K0&~4aniE1aOzB6UR;Uo<bXCpWDp%x}
zx>g0I>8~?2!;^T734^^&4*&Kzesot6^jHMZ&mMM-q&)JAuFcQsdmDjDy-R%;<M#X>
zw(<did4%c-!Q_<ROw-su>?+sIPerX?evZZS=5k<=HRspMfO!Ocip`_%Gkw|cQA?UJ
zgg<hmfuFsa6r1Dn$cj;q)9rS|hY~~7w&h%du@|*Uag1Ymk3fGtDCpY(kje?bKdSlA
z-30#n9NKgy>@ZBP(C2lLc9jsX6a7X#jA#=PmhEeSbVj%Lqw|>|wPWV1=})NG!|c8y
z-T~*<o$VeW{9J()vhpuEFIfxwTJnTE4oz%}HF&7zmx&^qR_4?tS(sFk1;38ss8<O+
zUo&J?naNhs2>3vHB*ovBrh{5k=>obj1(S2nbqI~nY6}bcc0Nlk7Sw1_93t})c;0D0
zE|Zk6*V8d}j2HBfXxEs7jNH%8Qwir)SHn_n8|E=LXU{@f>s?BFsKyQU?L7AC-&FE|
z_Z%~=8Ys4sNGmCPk?*L`KCsQbJ<x066I)nbR6%y^6TCUh4tQd|Ys{U@F~r^{sWzYD
z8HgS4mgcZefFziz{X_+!oH~|t4N*Z1*U%*0OdolwWI>BTB~2AsRb~+vGxF>`;TUp+
z*Mt_-9#V3{wPiO@2c@S|P;V+0sf_w7Bem65ZQ$LIZ_wh}Wx?XC%?t#~herQ~yQ_vZ
zb_&0FkAp-$eQ%f?yEZ7;l&)sHdGi`bc4o+dp7?BxkautI9e$-<XK;OPSFg;CzT@#@
z5a7)2x_<qr{Y==TKl-@YBTCqHH@~**{U>iDT1L!Oa=}atkH$O2N7s8J;&*oi8MfW}
zwC-wH6y{J0+IL3JA#q{J3CJniDg-sJ7FbrW5&s%N87J`u0;$?I6r!0ziC?qMDk@~o
zX?ZG;8XG*tzZGJlE&0~1x6E^iz9OBMPqvuyc8l&acA8R)i9m3S4o{*;X{kT0=?pts
zwtzyEfR;1wLsuS$X=7qz9zlm%=LnUsoD#~o_Ag4^?&cTE8G>*&82Um7GVT|LxW012
z`k1f*PJMe$bTLO%z3C`9t`BdVVF#EIW)HMfG_+KRYXcI_7Ku&!zfV8k7(gD3JPo@k
zEmiGiu?u3wtCNs6mKMotEW*h&!b}_K?<t+$m^8fI<@P}%i0ux*^o=VL<RV3_{=7lW
zO>K|CATaAuiF0eokQA8+VS$k&BgknCo1(6p)wU=(z<%V=-`b=(?;jY(I~X_-aJ*$9
z?RdzXHat&gHZ0=tCy~dr(;YuT(QrTGPsr>@vSy*L7w?tfLn<DVrVg~Xr?ct3bU68S
zVr<j3Kf1n7gn0Y9UDXuK=?7Z};N=q{-s&&w9lcKOK6Z(L`h5j#c+tMPM};B3aBI(N
zS|4%DUc7A!3v$onLen2mpg+V?0tllBIqF-DMr?fcTa9zOyPbxcy}O%+r90U9qj|qs
zQ141IDcOv5xp-i(nNO=@BwDuEoN6b`G^&0(mvT^X&_MEz&g-_@?}8m3>I*5mo+JEq
zdiV3T+3!6i?}+6^KHcc$Z;Y3i6oQiP?=F}Z{Iz992(Is<Fo;*>D~eWQd8><QG{5kD
zsRZD;E0E@s9V8%@Hd!3W{<WyH;-uz`DlS&H66QesO{p02YSe-iy~v*UMpvFVu2hB;
zQiaiCqmL`>lwj=}#uG(9pAO0Eq@flR*?*!`YASj0UeW%*$ncT`>k}TLYIO!?!Vj5u
zLWkFfd~1)pvpqDM*x9?vl}PQ%un<!k7fwt&L>9vf6OVe*vLx1jckxFG7@utj9Lt?d
zITe*t!-QxW`J1y}$-gBuuv*%pMY~;WNsy_(*k7!&S(_u=G%-v9_&}Zqi1nj9?Gj|R
z1Oh9cE?dvhbL=qjm0yX>qEe|`JXxR*(s<_p`5M?)B_QsoP_P(@zINg9*)h!^g)NII
z3}a2OGV7>2Ew4M@fQ;Ra@zzqm>Y?><oI$*5z;`@j<jn-W?kU~+A!p(~dxhj^glYnp
zt{AxvLtibD@b5%@9ADOrS}ar4heg%$bqQR4oVOk%tB7PejNQ0me=DQ!hXOBBnd2jt
zB;@4zeA&ZaH_di;vOW{py!R*xwRULqHvk?oQ++2=`av2WBjVCVoWnxp2flu#qvVPL
z$xPV#^TnXCipF#b9f>hcOyyXA=w&=GUhFO=tN%qeMN8yCqkmXKBM>4()}#O6R)<GE
z?+wCRrDW&a+xb}TGYN1YGKjwRbWWs_!vmD2nSUy?amm6<_kcd=##2M6*d7)JK)rvU
zZE%DRPI1R;6H9Z$QfBdW9f~HC%;=|TAFI~&r(3Ir1PoAg<uT#`a3?7d4CEu@*jJFE
z`Ums@L!tBU>Lo^S(o+BV!QtqI;d!)CjG^_;PeY0(ayk2tyS>=>GJ>)^E&=NOx*%@X
z2lUbvX5qvCpc3yPIAI7(3EW;z2DVQY6v#0099WQkX4jg6fOkAC03&_da4q^Dz{Ci(
zRM=~Z2!UOv>c<>TN}Y}E?4gzaoPM>1R>ML~;grp0j0X9;6f!16w3jhpu%SgeATkO^
zE#70Q!k_|Gm+@P6Ao2M3ycl1o@UoBp+Uc_(AYc_@wT9<NkkO9q03)->zl%c+lcBK(
zV$OP|I_^w{Q%m^&AFMJ6g?F_CZ9{OOwXwDqL|FR3oqh=HoY@R>@_z>a;<d_#YkyPS
zW?Wud#_<Sl3<5|jHOv+S_uP<@UeWh6K?MYge+FsWoemRHM8L69{oYVOGPe&{g>xNZ
z7#Q`E?je})H`_{-gaU5?!Ax#=L~W}#t@?cyC;UrE;f?XEI-qGO?7d`+w6A0?$d>s-
znHcBU`r}G|XG66k5!O_PM-mysf3Qb6>;17neGAW=0`?kg4e-Yvs5gi!^%%-kwi^9G
zD(ZPGcD1bmIs=1@A8`eo(EBrshFC16>FZzml&0{0v|puz<Jk>*Yd|fBcDeN%s0SRP
zODVZtE??RJfY14V8@=j$v}Xb818}lrg#my=mY?6FGB>Yk?Yc#H`@q@Pph}+R4m2BO
z>NtaAP9y@sB_e$PI}xfKgCNUZ|J!z=DGp=HXum~#32}AHOOzz*;S3$T)89ML5M-EA
z&~Z7T;d<p$1dDFv{?}ltMWV?Kjr7Z5(5wL?bjJIr7m&(C^fcUVHLz9cbUsEu8f&<9
z`FuUSCdLnXgDP0YJuLz7caY%!{1m4G1)EC5yg%c;@z&Tcvkt(_G6%vgm1QQKpWsBt
zT`8ay9%z>2EO`;hW&r5&jme|YMa%_2m&X^Z*&DoLy7&p0DGPZz9*f|~pZjhP3H7KQ
zzSM(9c(kvw#4oedvt(9SLCQN2>aO4ROQy4FSrv3=olE-U*83Ukw^|xFwjz)A6f#E8
zQb52v6?MLkLh$<tW7fwugLmY~Ig0<My}$g*YWx1jVYs9&k?vMHB&9*RTR~J>kdW?_
zl9rI}5~KvByQRAkB&EBh<F_v3)aUyL+~XeaGtL8t!rp7IoNLZk#I=h69Evt+Tbs{k
zm3S=bYUllhg^eWuZlzo<%`=z&9(^R_@mg~b-fe(ZGLA7Dn6i@EoXj{q)gJ?CG5POm
z5v?$Bal&1gGbcTpQE$B5w=PYY^(4!hyosmyPB3PPs`5hzFzJ^#=ydODsj3bL-&_K7
z;YgMqI+$xP7L`;q>!LQ)-UseNyREPVl-He2@R%hMU+?JHcG1k3j5ETf9Bz{b5}4h#
z2!U@>AG#k;pV{@`ZCtobs95b!xC^hHZ+{1P0l7J8)B*_w$^e-1(PbrKC1bV3mn^s$
z?_0=}C`@@zO6~|{0IB`LrB8x(*OzB!hN(ip7g-E$vE1Y8$Jawmm&Cgpmignj?xBar
zFdP72IUU5hG1Z$4W%!`;ufaTC(N-XYW7;LbENI9*FvA2BV}K~3;IY)|;_izEq4FNC
ze>&2~y?7&l4F<kL7#aNQAaDEj9lH~Q9jGfg<vmA*?N?r2kcoHRKT~6nca4t2cqh!&
zm9(GrDASCUcX6H!b`{mnuzS;`I%ix;70~B1eXh#jovvJ@oon<F=FVe%;{bq6>s8)7
z@#CQ0$@|*b{geEzy~Hx=o<-`t(yau2bE{zD4h*dZIi4L3vRB3SG>|HJ?V<%Iknwr6
z3_$r$;hcg}{p7Ldoo-Uyc7ilJNbMBJC6yDCoh>DaQp@*06uhJ|`U(0A^tv&#muP<t
zm6;cZIO_(9NI?tdN>ZOR7Z$iJx45~76LULH{Dl_WxtvD!x~S{AC+=@Aex<Me))O7)
z`2#Jz%@Cpow{7`rTC2ZB+)A)0i$s@r<g`?vq@UE6tIxn;=H9|2nPboq7K*a{nx_!>
zP$gmZO;aB+f1VMfQy%#Nimm-0S2|nG+(9k&0|cPQ<k!1#V2*}ebZH@9&tZm2qhDhB
z4i;r{yzM3<Y`vz4jFUy-Z{y66;U$cKl4?{${~T2b{{TC)H#zn^4`=G_{dLCc(TGF9
zP&()#Bw1OOpLUxlgduqF?}4KtBFHfwdkqn?6*M+0mv#FCK}}gu4RurH@Pc7lAdTZw
zbT_CU%rNcDUqer*cqF2wU%7Y;hvNWT)D+tI-xeq#9)l`wG)vm)nzXQ-^UK@0{itBJ
z_W(mU=cROWoBOLyRDFa|bL*YQ1ZTN(W`*_Kw_gLfXX$5={TK|A#tWA9z*p2jm{EN;
zgCz5Hvq0F$U<Qg&U4wa8pU2bt<9%P5RpGumiMCzZg5}7H-{l(;`EE~%Ml@o0=#`cu
zE+q6}9sMC_Le|>=Qd^YNO8W$CGG;*~L<O1jd<18N7IcftgX`JdE1msA2HOepckWxK
zp4piJTH4z~2VmEf#{wt&sJ*~5*x^+#G7oC?U!dZ+lq3XnlHL7}g|GMDWjZv(VAt0H
zWD-Y;->~>84Ses(%)t{AG-LAwZdA+fcja8m=hbUoI^{=_XuWqC0QM+q1qTQMYQjJ*
z|B(>drz(ES7sun>hkTQMPg8xuS7KIiKLEj2h?oc}$07$;zo>MzDnFTuL~$5`wdr0~
zoQ~Wp^z7R?q<p@4r4vcXN}4ibiZbc85W&`U6VC$^-*@iPX_wt@#UH@BDgiqNv%n8@
zE!Yvj15NitQKHp3@gvaDqZ(Hcbvd#<38U-sqmO8+5--Mhy5R(5&)IOTj1Rh{fa+JB
z_%1_3WzyoS3DZ~g_RT2H(cxiosr(M6J2Xm^v5aKfkQ9v`L^gr9c;<}$X$g{zG&5iF
z5OIDT&EBq{Eb_UMXows-$^ajG&7yfB=YS7ax)e`A`B@uID=iJl@k;Vap9EFW<`H(b
z3_n4WFD<rsun1#OTIcGX2xUEGC%22eO)_Oprr>5k5OUaHhai0-BO*%&Q(;}CUlj-p
zY`S7{3v6gwYnqT)g8JGcJ9GLX&(8prL<w&w0c)6aH)24<8E+!$qZ-}Nkl5zZoA!{2
zOTNjdiwV9ho@D~MX8{THcylz!yAKN^D|=x_1qf+InL*lcMk&-^HeCm$Xn%}(V0!v1
ziEh@A<wT7)MUBD8s|qipLuL#SIqMDT=GZTQw_+Vg5zS^B7gP4CoVix{o*XN1Ak#O4
z`C`9M=%Qmek=H$ctaEppT7kA<u56E$ps6j)Ft+pH8~}$j(!KZXB9&DO@Os^XIOQ%t
zRy2h3yl9D7Z>OXx4(&5$LV?Bg>`BAZ!G2cHGkIHHx}cQgLrpRl!$Xb_e1Z&4z1g+v
z3~+qKhw3$WQ1q8_logrU1;7zL#q_<w$P4+G*)<=c;&}1;abSw}2R)ImPAC|I+7x~U
zW4Xp4=5b9WvxpMehRz>+0%i`K^ZBc~?i(Leg(p1ok44JhAX{E-jvc@Oob^q+mFI<K
znLf5hF&A#-gjJ9aKU8DKK9jf%pG1|WqSHVfmkO(^3(;EIHhA{=W-yYH+&jG)7#@i0
z8LjtTf4P&WtfLysU?n1AU^7c6^gCIC;bjX91|urTGPErVS6bydUhurl@R?w;|9AwP
z5J3MGR<9&Fi`i^`s`OZ9(v_V()q*RfBPvyY9AF^Jzy4MSHcL72k1^y0%wz0}2&T-#
zeut$VC`W}9s$~)&Ss)JKQfm}7SR6+?#2;uu)ef-Mn50f_8p%<{fS_nAAt`ZA5CtCr
zwp|182FPrH)knqrMrIZeY}(cf$aW|%Cr~%&gwLSf<DES`v(8jcWCJF%lcPm?z9SnM
zXGf1PL61#$Oa;z9cgi}dPsm`$Mq^mWmT@<Kclj~>AxtdYWvvNm6y%2@qiN`LZ-uB2
z?61`CA>3<oD-Ghr;M$8i)Ms5=;z57vsnb*TyY<(g0<h^BR;B{sqGAJSDXvX{O+qw<
zJC3n0N?1^=sacx`5VP;<0tn1q4x8`oc`|D>$H6T0vAPQyt<CXasQND$-x3c{hfTtY
zr7<5^1zXlRu#+XDZ3mlxP18Wjc7j&(x}`GqeKsR$6CJu_YcW&gRW`n};(8k<f+mJ=
zficFk&aaOajf``OVIG59pHgZq4h<{Gpn9(N$^<?I_a`ww8&8toc}YUPvh=cDSRvl2
zhWgDzqRa~(tOvjNW@r*km}^Lh_Z4GAo<K1@w8|YCQ_u@$;th9##u#!<@ln3J0yn$W
z$PmMPtj9fkvM__cDki{i!;1Zp5h}p(?tyUQo*yfwYF}4<tC-!iWpuAHHcRzg{3}_a
zFs-)-1>)`Bd*K;Rg@;!21d<aFc7y;(wJSf!Uc#t@=3WDg$ossKbQ#O70F(ADp_TE{
zeCM(n^)O-kGfF!^%xznRvt!alouPqG?hqb9Z<xgVd^+&l>NW5kK$=K)B*J(w6>?97
zsz{Kmv6m{ynGs8T-W@p5Z7n6UP+<uqOA>FLu42_k`^q-d<A142&-i&G0HN7Aj6rw3
zDuYU+LINqc{-oGJcGR8vjBJ{{)(BzmF@BZEh|rVHnGXen=H`h{X624nVJ08l69D>Z
z@~!Muo1gq`J<fY>Dyys083E$swoE$okMUcv)l)`UD{NdxUgf0V*Qc{p%fDa&wkF;{
zN)|1~8ANS3NXhuz1XHRU$dBqlTwN8T5`F)9vTP^M7*!hK3P2k3oE6*T*zs5{n}zf^
zdolE)>pVitaTN>-ERCajFdK1Hoe>7GufA1n%StoWX9v;VRYxB}T}&}C5D&&-*%sKY
zzL5q3=|A5Flu2@7AGg6VkKQ!OE5Ik%f?ii3tMcAR6_>?wELwL~Un>q)D1Myti0~md
zP`8c5V^BtL2z+?i>nvwrMqkE6VlrbtqL{1eD5m7V=e&*q&|lD8qgQ5cYug2rvw$_D
zHp?iM+pBuBk2=XseZh<TIshHJ8NNS<-K5aDkIaLi{I;wL%ie7`cG}RLtD^1f@gqV*
zaxu>G0k)BLHAJ)$CPIS&<$W|-7bP`O!c`_;swk}Y-p_6N$iK-(*#%cCVPJ*vE(Efi
zRifVijm)Q3VS@OJe0^JYC6_)69Zf=h2Co&6MyQ6Lq`mC_U7#Ldv&E_<m)MFsa7C_G
zhDu#xBG=z!eWXi!ZQG?E5u{!R08Qb>CK|TkfmKWbk%jb2Dwb8sFbcgr`7kh{jd${X
zdIn5R?B53WTV-)Bgo_95jd-j)NDJx(8kkHoG~O?llV7-YJ&@1#guypHeX&-_Tw-us
zdmn&pNcItLIVg{QnA%I8Tvvg)><DI~RY%~<b8T@Nt+gL)m7p4jn%sr50!o5uQqP9m
z!BvZ3KwFm8eKzkGaWh=R9eePWR@!046YSiF@aT)5>ah|Ke;6qnX#~^SkW)^*MSgei
zdb|89r7$kTD+%q}Ys)3CP4-o{3r9Jad<AB#ppBLrs7@>-CJsw=eOIyOFQ44E!HQi|
z=x1kXh*6*v{cr?)R23a_<rXl9bhZ>j89Tq0Ve(i}4+C<5$xc$6U8+{CM7*>)H)eR=
zR#D8L1GU$FO{oyyF3l3q>FHM%mST(JJ0PG5@p-s?O4esf{$&5!*yUX|jS3g!Qpy^e
z#GBlv-Pxvb$u5p#-6^LkgzsmRHh63L@yNCw48nGV4v$NQJe*Ay6DZz3Cc9)&*6-BE
zXSWj0=XzwKZx~TX&+<X-n<%4%wyf$N;~bzvtm8i}(o3+Z8G8hI9$Xp4T$KUG&n<jG
zSLo+YJ)X#%ePGotGY4@9$ceja8r!pCW-_8Nt?~^{6#Fo>GHp1p7iPg5H~~CXi$!`D
zV+@OJ7`sX~rmMU4^+tIQgcS7Itr-)9Rb&z(MAA!)@m|F%r|`!p6$^fyP(TiL8?iOS
z<!z(a8dTDP(7EJvz1ZpJT?|pf_UFAc*xd|6H&yZj(cM>QflhrQoe^gb>jA~p5Cz`r
z5CaUp>m15wKE^K*8^6_ChQK&)Xrk#yy0!jn+EhP@gz2;h;VwLLukE(jNReQMrd33R
zz`EzzTJXFCMf+_{Zo7}uogj{i@S4&Jqg09TjHwin#U;*&C~Winv7l&pa{p3TD_iPW
zUT|+1fkCq~ce5OTMmU2zT~}H!!J3u(re<-F8e<fl{wtP@hiCQAKWkxrA%kG!bw7Ah
z=<y>zkDt59!hx7|ZU!pI5-6n<tHSh9|8A)2!*bQ|c`Uf^Bd0Z!ZEr>F8?Fw^C}Y0!
z>PqmYK)BVVsr>nD*TIcM$?)+T{ps$nbR*8*gOY+d2ei~Gh7dv5MTR@?^iGpY=ihWZ
ztcG7|wd3zr;b=4jY#Ed1Afky)aYY7INg05|SCP0M*Y_^gFoAw`pHhJDJP@&o{<H9@
zkFd;z{F4b};yaBtJ6Rtnne>>Ri)c<G${hsjUQ)7{SiaYWSuJ;4S6DaD;h)hf_!_=_
zDb+&t1!_dQM7SS9N|VdmAf6*7lP)}&7@Qf24*aS$t?Ie>k|R>+Ww{mlQ5WIEdbG+H
zoR}v}5@#B_^REE4S%_<D=(FAn%?*_D0VTb4djRWwkU@`g*fyj(bl0rfCJb*d8$Ul0
z%J7b(PBr_|bxRH8vObD?-B_P095f=&v;~>v>87@3<>G+Po#6n-Y#9fLRhb4F3;-*I
zdXNlalB0%3)J{CqDJt|{?<^z14dszPiV`kEHy<C{2=P}FWMry*M^zP@m#|b8jeBI?
z=0Om^1$4KMR^L>JTn(cXM^xqQqi3NNQ%1dBqWIpB+kn{=0x2K3ezrEN@-YO(*ty{}
z+*$APa~C({14CMJOYvu3&SPM18vZsy#HvGoMlh<#RE=JDnh5>#3W|9cB!;xK^~D#S
zX=`zEcn`qX!HgqkE*f|+JCBPJibK*u-=wWIt}Jv$-Q#~Kdr$BJhBQSb9Ua2;4O&KD
zu?|+4J$xqz$iLpRG)*7jQ=jeU_pOHC$Ua{Du;`RFH~!jClu-{*#Y_~zu#YD@Ni)NS
zJqaP4Gwo{2IO2)#Zbl#spI7!Aw<PvqEb2GOQoP+_HS4>W5d+nO8Hl(>Hf+|SJuzAf
zu8MSP_|Y92$(6phGs}o@cg*moDS4^1_-?Brwe<)j;z!A3daDYoiF4X{s9>gAqd$Dh
zyGQSDaJ$gi^Z~fm+*98X%b~9KT);__Va`Fo`sR}B(%msYD*Yonc>y6K<zbEO{s866
zh5ExtLH#D0usB|heVGxe*dqPvru9BmFQ6urW%uboO6CwHU5{j&K3o`;K6fDt!8I7J
zu~9I$23(_GvH969z1lgypIvD(6^4-L)fC{_nWV=C^5WRJI1uD5_a@O63`Xvi(8{l)
zQ|oeVQi&rB@Cf&Gbisw?llkLDvN3&}0)6<9MRwMKyi#+$D8Y;Z4jP3xodb>;`BGKf
z)F;UadHmR6vqSZ~MyO(xL!V{z@zE9(Z({{7iRT|KsGHuS!EC8M_d|-ci!-trSa1)G
zl)YLIpvg{D5L|*$5jxOuP8F$ElkJq2a$;2>l~1nygq9a`nAwD8<e;r|V~d2097D6b
zHK;G)IC)#v&o>J(QWWs+zrR!aGRt8|0pa`-BxNv=txScLi*`Aq-*VYq*WG2c(ty;<
zd(CNi$R2V*@~%$nmEr(D9v;NVS9f67a^-nnC>?pZ=agtRVqx6e>*w%VO&>&ApD&QC
zwmO;$Uq8Xc^=P9HYSkb3@TNSQo(Y$$xPjMvvXSv!`cB!E5~{T?2858N_e5`0`_xU~
zqa=G7&p{-kukzuin#{<h(iZ%ow!_r{x?IB2mRgc!@0JB|!TNjm?|D^{$`2nx>iT#G
zo|}hQnF7=q*^f7KczkbZ^5B}22bpG_K8j2}P9?3t6nDTu5Hjq>4dY^AkS1D`B+&Ln
z$`(Yw+?y1G!w@FXeL&zGRLo7J!Xc_n&eUpDhnr4CI?BfId_n<wgb43p2aS^%NXkGJ
zdRx3!&+1yH2qw8G_<R!k1x`(fgJSxe<!&LCyQ$>VI_`S8`Sx%$_Yft*pog=-eso4F
z%CutA1H3yFXuadl*XVT+D{r#^AM~R)&g*X=h;apvrA+<NS*yl|Xh_;)@5r#Q3^<wD
zvj)FHt;@9kmUn3|whtV)&lb23Nz<>^)2<obVGK6G7o}&a5n_>;xubG-d~pd5q&ek_
zxv#{AaKCw-Y$FcR3kgmbYB~)U*eFgX3oQ00s`oZad~P(0dfS=7TZpD9Ck_N}f_oyf
zsC?_HDS)j6v^o+%Y#C!bS1g}y1r;paNYG5XGMqbpu^B3o9=V-JDD5YfUl+^N<pVbp
zdG>IibtQ6W=%E!~`QT8=l-gZv5tc3@22E(OJ_YM}@>5Y(Ll&FVLq^pmP3$!@2*O6`
zJf#wCChG@QKKGftZ4l0)NvCfIqUiq0Re((c1h^(95QMv!$7%i|iOKe_U<6bVP(-+p
z1%dC+QU~lukRSzz?*cJq1-@y1CTd?N1OY!e=3etNjQQt)8%r;*H=HXQm$n!4!YAO-
z#@LS@3XkQ8<xL$1&6cF!X%TejbnU6mj>SZc$5m`a8k#0gYg+twasR^>AgB?b%xBsC
z7LREnroKhJ4z|H_gALwnpfNK}L>HS-&}8r0=lC7DP|5C+Y$kfWWwS%@oNG1fMVZB~
zFJSzKqypiXyZko<>ua%Fc3l@tlefm}bGEMbNH7%1cpU)x-Q~pytVMUz;f@VpQIn82
zjTQ53oyB48R0WGp?aLmwB#fz(q7m8@A;7JAAZ)v`5P;WIk1>r83oST_;QM>U&kshp
zSt<-jf}ETt0IRsl^yCD+Wl|m@%*MAZ^qrfgmj(~3<xw0Xj+9b7zdFqw642jG7qBEY
zF6g*fx+1;hH#4Va^W`fkT(4CVJob*<Prf<rK0Ka1+R4V)f$52Wcgf5PV~Vscth?);
z?^H~kVlCP%QR-85o(bbx5VR~=n_ULl8%x#Rk-EhyBNxBXJ&(}oi=YAcv%hsro=_H<
z&u}2HrJzx8h{0>otT|G_4v8U@qHdlxJ^+Ak50QN^j3PFEpkst)ojdJFux~w#D<u<<
ztW)7gG^_XRKEnr9R<PlCXVZa<=sAO<7j`Zx<jQH2z;Wwac|OaXVU%Cl6gr46%Rq`S
z&wa64kCo2n5$ISX-hFMy_(1xh(T4mi#5cQquxVNnX&~O7k*`fL0koqG1&nX7LRm{R
zxFm-Vax840%+6LAXl^(xtjR{`9QKnijKJzypv7>%lpGQe;0I*ptcNLGZBSNgHJ^0e
zexl%WIY<nNM=|}@dLmCy=D54y61Xv4sr8~1ACx*1eLz?6tqeVqNe@FQnmY6wVVN#-
z82L0X(_JlH>p11GB|4HrK6qT^-sb;xcIMiWZ1N++&&jG{_8-9q?r@`h#>L%bWFkSg
z^JJ9bY@3DLsHp0xZOunuZAgGKSSp#zB348jhmgyD$;;!G)E3`Di2>_WwHY1zz}8Jj
z8^B^z{g~9;{AM2tng;rG16yXp>G){U#`ICcovNqi&3JY8+r#2g<Zl+*_61%nIjgZJ
zbZ#wK?8JnbgJcfij$e^{kqZU6I^w`4gC2_7m7wZEtJm(J0tj?Wq^~l(Z4f<gB6jQd
zEA|J_IHM9l*-{4VD1b!YW%;;qX+CxPhYpYBOyEM6jRY&l1;G7?=9~sl?bLj&Efobn
znhG>$ezE2`8Q~kAXq~N{L^ND%m(N+&IxZ4^*cPbd+0ZM~{COWf_X2_z00QrjXxz5j
z7i<}(_~|^ovVwMsDx)yfVYC1x0R7frQ@hv+mNnoT{C)ER+eoY6BC?13$mYj6qj;qb
z*!ZTOpv=FM3>zl5jXs%x)F_WxO(+pGKC^#NUpjy<|E7ytanND<2T(>ZK?EJG9&gw|
z4}R<S#oX_24T-Uksb2~bYh~I%LSpWxghalP7a6E9m(zfpEVHK@EL?=W6DW^J-tE7j
z+2eJrPkicte4jYpdh;1Z@AycS-=g`4@kAtPCU14{OO|5^PSbyFmgyS+0M!GnCsmYK
zz29mW*ZNVjm?VSe{wra6XTdo4;xqLh9fmL@YYtfJDU>CDy$$>oD`wL=adUg8Qlj{q
zcDZ>SlbTKNVJ7nv2xfqQ+A8T(Ph<w#g(d|^IC?nQ)qlTK6zV$<CitEmb_*9N>gufy
zeLaOQ&@H)n;(kAEd0?C=h?HlVyA2e7e(%`Pv_+s~1+L}?z?K$NG+){T0a?L;6ak)t
zoAbgOS6Ib>W#mymtYo%0{ct&2RcJp**<P*S_8I-`-bu+;?2g!-r|;)Dv|G=ba%~jE
zt`2Y(>J;#-Ku?A$f%dIE$i4dWvQe+5NE-Rijo0Uv_JV*Y`@Hm9|8<w{S1r3f;1hBR
zWd2}0-K*Nhi`wg}8}X3Y8i!371D*aR&hsqJrA=uBG-nPF*(Hi^q4TC!KzQ*dDY+&+
zh#Jk%eA4VpWRLWL!~~J1-LfGp9n&WP-mg%)4zvP(%>tm11T&P1)wEofG6u4V8s2a^
z)wYHvquW!JR+A-JB3F)?!I4i=0gpIEz$v!Q0VKM1fJZBh)en8zZ;|8ryZJTzt^@`~
z%4uFNQ1sLxCkx>)3KU460xgteT*b)WqnPf8G7W0mpfvp!9=vdwI=mJ5rdHy-0e)vW
zM}WRGhe3M!{e*`F8I3r4Csr0yzc2r#H!4e2dLg29t}eG{`&E+udwJrKS1atuWCH1P
zo_pcaF*)jj<?gG;O8Eo?O$4FR#2u_FS@t&Uc3_KGxx4q>Grf<UTpApRNBG{S<b#@@
ze$<g|t-DZF{9HL-p`?H(H+Mc>$!~EiEqwl{EBsZf#R2s|GT$N42FS{LlCM4ke5Poo
zs2}qW>~`iQ#pMOqn->WJk)RML`}D(nscpWEWQNt~f?EBS?iiA%(RE|5jDBliq^K8z
zPajMNa~X}_CXv}&h)%^5;w+Z-ZW0~V`}QeK;O^&FwOuv~@@!8_dY?SiE_XRJvP2`|
zSW><Q|L;@WV7=P`USH2jtd%*GdB6JtlWc-YFJYIp!S`)v^+`DI+xF=nv|68h+x=Ro
ztG0ABU&&qANAeu(|7V7A!__WQqE65hKbk>nSR;50iSK(eVgUsv=NQ+I1xZk<A8=2l
zx*vnp<p8~_D_`TtRQ%>D!3r>~>Ce)xM?Alfyq>bCv~dCHpi-6-09JaZ$=YzLKRn@i
z$m1Ec3rPtOkK5hPq_|pZBhb}qP@tHR+_&u<ENX5E^vn*{nY`Y3I&iho=QO*;?8E*p
zn~jzHT1vv+ipx>}yiyyK$i9x*n}i^21j0>u-`AbPhpJ<6?}xTp@NK@J1bi~=HA%>+
z@1s(z7D2rxxDQ)5XTmph-&P|Xs)6!?r&bs-7bA3@=z-BZ6U(c1;At*!{F<ez9EcEf
zCh%CzW-BJ$-YH={V(%bT4WHbM>ltqlOTxO*dOD@MOocYoGe>;HhjbxL7hs_Ak5w_)
zgRr30s$*HE+2_8}`GrcnW-KHIHd-LiVK-=h4ahVK+m--;f)i=I&7xHmo|2(@4a>x`
zH)_$I!Kl{_XDb&%y#T>*IU;<e%J{ks@2UAj(Y+_il(CR4f)wt8FOq_;M{8=EpdtsW
z<Rr47VoxtW376fo!$YtZ&H3R%B=6ZGUH@V;pf+qQr(A;uri}y6;;FR)dhZpwrW3Ep
z5n~W9R91+$`JYNX)_m|w_eRN!DtN&bNRvIUv0tZpCwQ=tUkDtRUIW!Om*VK`CQv}M
z8x%#(B4sHADML`uq_{cl7yu?c6;4w3a(bgrVK}%P&PO8>aydOUioU5^+7?|tL-mex
zW&oR)G&^&2xv{#V={gsdBCrwb<qvkVAL4+tA#C@a20K?8((2{D{eg*>xR|zhP(la*
z>vPDfO`^aGI6&B&M7nic@Fn5`q)9Req3pf6lR!*E321x(ag9tk_<{BKIbeURlq%@b
z8i<8VYAvDxRVX|3yehmYugYUtCIv`$SV}m7Q5etxF}DqGAMG&rKg?(b0q{QgdTOQT
ze9^7Uh=)i!Hp8t^9ifCyKQ8m#hRt;eCvn^gVAxPB5HC@9mp_McV!)?P9;TDgOncZa
zmgr2@eYivBD4W1$3(>SL-i(ni>h?N_{RxbQvGobP;DoM@M)sE}ogzx=VEgV<omZMa
zx^GVb@eAUCy_lyuXP`<PAp*T=5xx{JxkMH|g{Om~%VAM0MzxpV!kJazbYOhW5pfZ9
z2m!)s7e_h5DWFcvXOMRe;XPL0dJi{SV$ri$DAaGQZt)s~Qh07V4XZ=}DeR6D-iuNp
z!uq{f1D`!A^ghJs`oE~xf4Q8Z0dP6FKz+>mN5WJl0&ygqn|}G!!_0f1zM8;JW&mpf
zFB+mYa|Lx`W%WJm8`4LER*hGV(>29cF(;RohXbo|xpOxco;SPT<RD8hf87Rc0)_Qc
z01JXaN;E9KC2LMFt(SFhe3Go0>H|_d0#1US7Xf2)liRDPp4Y~7?iN7%2OwrQg5a);
z6ji}$R>c7l06&iSdH;kK=l*cg_>wIM%&>H{aZmoi)g1~U(vJJA5>})}^7BVL4f~<M
zUYG8Pg8ZB3PhoWD>wMiS(=Du&+ql%98_qW(JMMme1KgVeP;alsC2J?^a@)Hu){=a+
z)T!Ooxj4424AfCuN9$8vq!~N{yPKkL8@kHxBOG=`0Bh95eyKBpv{&;noaaGQ8bG70
zG;gyiaZ}zVW@Z2Q1LO&fWZ7otwXRlZ7j$Mz4CQkkb(^f$smnEvT+79ADHl~By2ysG
z6LSsMn>`j(Sqqf%bALfdBaGr}DSrV@wZurUC>e6bME^kWfQn+EV;K4#Txm(%a_#r|
z<twnDZaUuAPD{2@hFI1AP`9_@-w(V5BCaK}V^F$eFHK&TNPzRQ8owe33dI3rj)c1?
zD<+M-Zr(F7{g-fXbXl?zqH0Sm{v3X0&ZslNa7L^q*bzGw?6=O*()}vAJ=dCHVk({Y
zs9st3O=X?TeJ)~6%zD}I!od%ZnHF5P@WC`O=!+YNVNqbw4Ui-+7+NlxEAp{OhN>Cu
zGLcq*@PWcoXMDf?6Wx?9@Mb<;2u9J%h#L?*RKUMe`sy$O$fL}A?^>CWF7qMtK9Nw$
zsm~-})wyhA^<cO3TYZ3M(6J8i7x?e&yBVV933C9f<W8}6wu04+m}ZIh!cV;fJ=V1f
z`x6a-w0?cm77&trI&siJu5}Ez>HVlN?P?7X-gsY=BDH2Z^jI9ufZBm-CRC~b=pv2^
zgXUiiMBx9`d|d>U_u%$Cx~qFNrW;fIj=2Qo4f+jRN$lzB{$hu;3qHmw9yH$r#3(@4
z$Z+&WT*Fb8J*qbW@w?<`87I{@nLYsd^Xj~2DN^2=Rv5_J6#SsE0Te}+XGLCq&ET7R
z8FG@p9BX{l^}GVdu^&6i{I2`1oBK9@f2DeuJy2E%0<=|dBZN%e?C(>o8efEM-$Jgt
zdEy8J5QFD5rnAOx-#&?rK<sk`RF_c_(Ej?qz~kTHHnqww!eG=3%I02BL{?tOP~y82
zWU|Ujy$<Ac>HwW>@mVIl9Z+;B?RpS42QzC2QkzmTc6!*h1iS3(K)^IRn?7MUhT3{H
z!-GNAoSQp6gU=vHzE>QM>Qhkb3ig!IKx!ysn0CR?)XnwoO&Im(55bmk&;Zkc%-~AP
zx%2vfMuEek1nC`5T;#ic=QA}HOtbR=x(t=;PibN|e|++dH2f!O_E(7N{Sh05T{g~_
z1qX5k3pveA{WkF)D(D^Foa^3f0-P6~)1wL?#v?Oj_z=j<tSRg8%-G{V2;;UIFMAs8
zUpi@!D0mmXUS`UB#_z$f9PSJz+|BmfHM6bt2D#_uKF~{5(~`<PmZeMKG@oG8Y5=Fg
zd7qVs9Z;OISsF&;nHEU^5r#B~O^NfvGGFV~VNeWL<cyY-_c&7sFSzeIo$!CFu$v-d
zoo*fw@;PZX4$hse`f+ubTk}=#Bc4AqkaRZj@mW)CfP%|X7eKuxnTwJAuJ;2e8+kAH
zPXMHe?>^r{vp+fD!M$q>FnystXWNCB>K|;HA^~ml6n|()^_%Y5%$pG()lX&6ap9Xo
z;l+c{OIUrV2}&C0923z2;B3g**k=kW+D<cma4R7+$LT99#nZ4L_vVN04OjO`o0|kd
zDaJU{W^5=0JAB^cwqaA3puLrqtnRl~YQZLRc(Q<dFJ5kdJOuUNOW2;q{T^NV&z{ym
z)5QI>%4JgGb|LG95}uQP-6e<~z-?fBL30U{wvVWhTAyYwp4|YmPG-TGg5Ta`w40}y
zaS}bD7>d6?!RwIOn<IR+4&a0_oNjW`=(`07?OdTaKqaI9#dN35=pM|@{x)We;(hx$
zi$K4MJ43bB%VK5AAVK5G;x)47N`v*5;Lv0{I_QCGmLdrN#BM}^4Nz!RGXJl;genBY
z82upPYI!aV>?B!So?#^(110PWU=w@QPGVKmWk-xO9QUIMrZ&?`vPj>sT``53ktdSc
z>Ezr1@L(gePYdv`qlC|J<ZMr^qrYR)eu)QH^x(j&;KtKn6W^4|!PUBnRN`u-6~K_2
zv^)=_3gbPVFsPPC?+JO8ATPyfv(TD5A-#Lg)s5zM4eR}6en-Z>h4ht~wkCJc32qt{
zVbHHX9uR1N?d9jH6fwXQd2$UxHJl4!r<W`Nw@R;`NIR)|NP~3bwEjIC`-oaQ7z`7H
zoWkXp(Bv-9i%QQVW6F4|y8U*+fKREY3&}yjM#u$q3UgToeijIXbOF|L4qvlksjd?k
zVXXM+Ed2XG%#st+`x@<Ke)gZe43zxuh1Zq1zr>zWFK)pv6f$j0?DJpC>HxBv2`4b1
zX<~icu37tsiuhGGg1MgBjY>f#fJKGEX0RSM8DIwgxxzU??zslNF)Cy@vQCjv>;=WD
z6Xr*7UoWI(E~p2Yzz5gA8It<*)8H8B{>i_#m+6}@`#5KL)jhU;;r2r6G%Jd5=fZLu
zRu&)v8&}`pRPkT$Fkyha=eB{A&fvPn_h{E{f4m2Or|FL1@Xn1^%kv^LC@}PaRCPCP
zEB$qgE~EFxtmpL>w_dRM^x`h3n{M02ob`=Aq2*AJ%>=dy4J;XvXwd=7v-~=oOy%z4
zvO?k&bHp$(NCXSc@rTy8*6r2^9_SygVz!J`w!#!789|)!l&EUv&zTDpm1(@zQXaZ<
zFB;RZaa3KEC<dyZac$;SSmXw^h9P#ncpPI<Bmh=EE$9cXX3LyE7jGbY3N6~Sy^qx3
zv|sn^j+Wt-tkZ<ZSG&~#L-dJMe(pDxLub~Yq3occ_(|3QAd39cP(?3i1O4~U@4%!o
zCw*>Tos~y@&K0|VRE4!Deg*OR>|#t~jrR54S6A{aUC1YxEXdo^o%o-nRoJJBSU~3y
zq+Vxuul6^d-xA(S9?WpJ=f<AtOAw-a-8ffwLt?L}RDkfA`8F)!@(~D7X(@g?2G@W;
z$H<_R*I46rafbylp|N=ZvJ~Fo2!S!xy-(tsQcI;9UzOh@Xv8)(#gbLu`a5BRoqNxF
zu&I~?-xv!ERnf#=LR#9WaKb-{AWKoV%)d8G{N2&j@oi0#2%w({Lb-*4SEYXsJ`&`;
zcK{lB*upXp^Zij}8uVDIWZ||{K|7J;3<)D60UsHO*7s9II`W~aO^@1uQ4MSp2<SH2
zc!_}Da}>-v;&?a?hcBJ`TU{Xmjv!})BUNF66Ut3%LR85{?EJkOF^1`dJ!=L*5Q&bi
zM(0)6E1UwPm8^BpUl?G@yTJ{7{A=hylq(9?)h#uMGLM;m&xgvMh%7h}jiy&XM}Kw-
zhh#0GK9ivd!}2A|&~O)Nw}elGI2C974h*la0o${<R%aglhNgf#!8xT@AmB}8YM+VD
zEnrI3{v=$qt<6GmY(Q!;68}EPw{o(B1%addS^Q`A@#jdONx{V=vBDYEu4q9QSF&Kr
zIh4&4-?W=~eR;y?BlTW={J@@>OqIyL91nZ%--+cvUolDsuV&c{nOFG|LrAQ&_zX}x
zTwof<%rLFhKd6MCLk{#PO#myj5w6O8-6|=m@{(AOdqnJ<yBCE^4J=lE(6+INsrP@4
zSGdSi6klv|;S45+`><)7j_ZA$#nJb7+y69y6BeM9_T?_Z=na356zG&luv%z}<6&Y|
zzeC4g|J(=5ubDsCaQ@ei!`?v+9wmGKC+Zn|?_d8cQVQ<*JX0b3<o|gRHa%=&V+SYv
zY0RG&4Vr^@_i<;2{W<#nYJ(h@nQ^W9f6EmAe$oFv<FD@i-Sht&jepKT&?*1FF{!|j
za|F07-cqyA#<?+{DFSuo-y_!t)BY`ZuvtZ|f(6g{vQuUjW-IV0#g);wuj^W7G|J)I
zpNIwgj*2eA`S!PRGXN~~`KEgd83+#P!R=m6>Ap@{(%qtI4o2{!dZg<!NDS8HCc>%1
zN;$A8B->^kE^96nyn*hS-eh^+5HxODoV*Bi%%7V5V!oC0;0{`8vGDy}aa3~vi22if
z>6R#a<>7^%@i=qXvU^wIoV#@uR&)JvQnQuijqRZ%ImlI(*-GNnDyWcq1W}d>8|>E<
zd47^9Cqxx~dHbnbyLBZr|CpQ_@l8$m<h9~)BKbHna@g?DV6DgPhGdX0ozDHzl=iG~
zvTz-N8-wP5WsSk+lZy<F64!V{i*OM%6yL}X2BTE__k1y<XrrE@6|B3)O$06H&gIJS
zV~6T{ew8*y`+J}9P6ZprNp$)Tn!!N?F&6w>X%4DJp@3L(st5$@q&76lna!w=>VJn4
z>Y%D=>G#|*1e;zFt}Xsckhm;&xPPyr;(9dwLp{5{4sfuY!xD1kt8+t@g5D}2_k3<i
ziJNpHan&vhTSESHod|>rrlh=&Fj0@N;VmK_IIFLMX6m>v0<)O-(<iy;@b5%Fq8q#Y
z<L`bxz?&FEI$xb3TY$ax_Y+}%{0K|Bk@X+{V?O-aoBw{@pQr!+MYRCXTK?p1$^Sme
z6sC2)2rY8^yU%`YwxC&v)(*T=!GAUM_oGH(yu)@Jy_5emiduyXjM9d61;PJ$6zu2>
zrEA*xNB8|~Uphb7=f}RAv;Ln)8GuI-D|^lSbw>X_0e~+$P&jFs)cMc%$)vZ#g1c0>
z+JD45KO5}50ZQ>t14@B5+rPhEBoyEv%mm>be@Qt1qX}bxzw-Hi1M<%<R{7t6{BMQ)
z-T=Tt`riuq-<I|FW#NBk$p4?7AtKTU6_zvSfQIg1U#WEP^pnPqUo!n!bq`5+EMFfD
zNdvI6X2UbIUH$Kipnx>4X*D+J->~DVr|YD5@sA@F_Qx6t7~5Vxj>R3YPAaYDl-fjn
zkjSR5H$dS!?pt0FTcj26mVy;_{gzSRzF1o6OLE$pcoeQ{ElUu%MEI!r(~fon;B>By
z$wtvO`{NgV&&x@rWOqM5g0a|1EcEYLIP!-_GM|LM=;FShRE3`=P_t0|*P*{A<SiMD
z|D9n5RKt!z=?lo+JI&NMpp@?Le0|;r#NP3q+EpT28~2@zU1{Yl(A~`JdPw(!JY#K+
zhntCECYu`EiFF1{xauF##1XAGK+5C%aBG4`R!9}(`}S}x-G|cqjt7vomVHMd>;d|y
zDsax@!oqhG@ZsfX53KeV+D2*E0kNe8UBDb<!|5nGR^(ahC0?@z!QVm(0i|QWGrGE{
z{Dh=kVLqA2WoF$wOgyV*D-}i>q#T1#7)HE=f7JlkuyueR?>yhclKT;udwqIV{Kk6=
z(8@s_wN*(2)YevuzOQAzLnq)t--Gc?CW>C%dEXb-uQPFWG@_jO9aM;AOdr+V$>re8
zpt%2@%NmW0ANL?r`d!#%m`Sv;jDP~pJGR{Z@Pzw1?n_;}A*xgEU*VpLb#eS_WPuG?
zE3q1<sf}mnS3pL`+zj@Y;G{eZq?clml6^VV9m5onDeiwqbQ~1RF`xG^n?8b-s72Lq
z6hrlZ&6JDUdur@xg(Eho4zB!_<LKR;aYR&nP%wu_=3*|;Z4`R4&gq>K&B0sw=*y}3
zzLi}NJc=Z7$VO*d_;^Z%6nuN9IJ|~9vw^Z2!>x~ZLUZN!_-?g|nLF>d5k#Sp4biuR
zPrkqhnhIz}7650fHSC;NIBLs<qwTEzNU;>A_V)L&21A3dX$tx}s|N=t)As8KzP%>|
zGZ%x|1CSO4O8L^4Y=d-j`U1e~s8l=qNQV;pRXqeX;S8?JG>nHwn0|B$@gnFSLkJEC
zPhNS~mMi!a^AgE_;R<yl5+&buIuE<SDP@pK=P<>z>AbDuy9ugh{+lF-{mj^PbX=MZ
zic)gkx2AOSUJ|Jonn*YhDkX6EF{D%5lJQo(=^3PNVT+Y|5N^GaITkTazxUGk2ac;(
z{=hUyivD9hdZR<r9}Sf)XTGeKzhry-)_NK9?RTLzPk97Z)(nevIC%V-c?XF*RH`;u
zI0RQWl}@y^kEmY|j-rsD`e2DcX1#Ebsl)0>2Lk4iFq+_@J_vy?u<~hZgb$r+xZ|cQ
zlA0p|mI|kt66JYIKgR3ZpU>gp+$!OcW0GLEn1o!-tgm_U>8D8XY4kp>emQw+UC~f1
z@ut4MzF8Rlh%Qi>a_@>!?mV47IlK7_L>RTxe;XmR*+n&w&tPb)y;M4M%+74};I(b7
zn3I<#ar-}qCcKFcrzrySX&tH)vF2@Q)65j}+-${u>_aV<JXcBk2yvzRQJD?Jb9_nR
zIJdIjzBkR_f`mOBVPcZtErs?vG7WT>C?*mJ3=qY3yvH)at}VaPaaSS9VK0{9oon<=
zLoS_MqqXVT@+hSf9$GHT$DJRc-8%hu1K3gYDoCrA6DE?8$+sq*7Eh@=;!97GbS7Jt
z-s=_=3K1L~t*cVoSx;10>o<|s7=`mu&V)_2pOHWI&k%(4a=&uaD*ZH5K@l8btaM-4
z<-oUeuns=o-9LflXG<!IqD#qjb`U)g;`1hNdz|jQ@O(1jV_xKVWW`95-17dP@i-Xq
zUh1a&k0wF)B@u)8_%#C(I*`7XF+Y)Ea7&dvwQ~$AX8q`_#w9-F4?ksNE#s(fR->kP
zhp_OolkPI1oxr?=)=po9d1B1xRa{PpLZat2A5Jm3qk1*N5r@vhVlS#!caBriBaVIU
zJjbq`<ka)48w=6(of1CCA=PTizRe1hNCFS1FW2Ar2GSLu%k@U{s$yH2T6X;B4m)_S
z3Ckop@<IJsI#y~Ik;be^+bd&V#<zhL^Q`7+<LHdEXB%Tou0wHD-R1!e&iijz%9ga)
zFS>FG-uAfV3{pT|SDk0P?0xg`eX}5Si05N2_Pgc1ZSh;!hhhbF@WF*liWF~+UTnSL
zz?yM+8;`f39>~N4f!B}in<++8;#f74BI8Jr|Moxt18*dLY&ast?lN}9V1Zo)hqFYi
zM%u}xlv5b~qz#B&Q{@xC>?}OKJhMwCtq_FPH8u_mG`CDGrMU5R8A?Ao{EB9aEo^TK
z!A{4Wk4mrj4KMzEqbzcP)CEATL{~92LL%Z%m<?Pf$kNaku-}XAO{`1yay-OuZOM{h
z0Fq_sSbR0}8f&D>WgX2$cm4GhxC1uJthoY(Rr`y;GD_<z;xrOzeHT>Jod9{g{f(<2
zroow&wLq!@m4e2ZE3WQA^-`Vbg(yONZGWhU&kOJN?V?k56^BxHVl2IDPRx&3de--j
z!N(O5R~UAZiTVe54JbGD&DOic#a_Ab$wJM{Y7ggp<iWQ%9r#_dAf8fu-nYHB7k$Ga
zPrbTI&5p^J0+k`65f$+MyYBPr79EPy^o&jC&hoQDbSc!yt<cQz$RhG?n}j=UNDSF6
zonu~lMT-(Hv0oE%$*k}9htVU=+AvujgNnS&MZMce`?=+Z*XW_eLGAQeS9%sAq7AoR
zo4+-Pv148S*m`8h53$A0JsS||XH{AttYB^C$JZhG_s!o}0#5o9+U%Js`Zta+-@Ng=
z=GRZOn)RejJG#GWlHV#>l=<iaRpD~{<g!I%w`izsG4`s}&LpHyK#FP`+3YJ4SA~C6
zG{u5Pr1#d}Rh-`o$_!I)_hhov*n}@2<8a|K7gBK#DTE1r<sI4wK6i5%<ojQlgCt6?
zBO&KKuMQu9fD9h4Yf18)#cC#ae+O$P4Xu~YW^4bQF!3It^$IMvYT@5rXZdn!ST5hE
zT~A}SAC^BFfh>{JCYiqY(;Ms`hfsKvu6TO+H+AQytS;G-nh^pyz6Xu|Z+QMsw#Spk
zo8DqZW8LB<uYT=09Q)W<^xe3Wd*6`$y>Y@)P2R%3A{KM#H5T}M)(DB?A5Pifw__0l
zj!rSE#p8aluK%&u5hRNcnIUjrR0Z9O`lj_6fftXNSL1^*Q;Wqdga7mffaUXH2TsP;
ztdxvL$sZsDSBjimagS|dzOJkCXZz<@{mOVH3wU?l?>YUk`4l0RS4h(=_&j@A%nW%d
z>(Tig?%eNp{<Fz}t~XXlmx#OTk%SoCdrWd4!P(5L7$do+JKuOJ;7jCpPPYFheBhzU
z?C=s?!}3j|2DF+&B-;-$^^Sw{#itrQF-9v!j!2&UpN_=lrGc=I7k`=zWLBk<3EPwM
zB5-RI5D);+IR<3f`Jg$|6iI1U9Mv{M&B!5Dvww$wu-P$j*IQi}Co^mNl%@!;%wPWA
zH~9-cxZRzd2Dg(iN{w)hi>z=Y1ra{JycL-zrc8wzz~=N{lL~Yr64aiWlS(!I0KuXG
zciN|=--LCW08&@4AnbXqz{SV@IVqL%Zl@vb+EU&&E(}}ppC?S<!nc<CGd|6tUS`Ov
z8`HeQ(=Wg12N!jGd_3FWuK5XS68+H}1t;!S<wesg@e72Ne+>AqKYBm7t3s|ptLawr
zL`>v6u#zcBje%?QydjsDaw@$FUXC0NMXy#+QtqC*cwbk)HCplH|1r_1puI!Agl2T_
zkc@G7BYVQEvIQ{p{M&;j5yGx$3lU$m;o-2k*5c~Z%J@{&ZR`K-@%U%t<CX7{<ae$6
znXC62j$u<f)W!Ai?)4?{$g5!>#9xEE!p-Ua;>qru>QiP8PILuX8rt+^30Zvz%Y*%r
zcA%U6pE*|~<ZVKG)x#+-na}oQjYTvhu5K7$xgX7FG|PE0)VN<9_r$S!UY?3-J-{+X
zj*pak)nrI(cI%_Ue;;($8wZ<y?j@;y>jQWj#8*+<b6e-_9#j=FmbL!kNu6qYqVrc*
z?ja|Sqe`yiMOUZ_y;xeyqa98DA1kH{D#6#|M#MIo1h=?cQm!jkRR^;3z@huwWGzHt
z2H5rhnITp5WVoJCB)XjEq`U^@HaU!Fz5fdIeolZxsDx9#yITV9a8h0At={ENnw6h*
z>NRF??x3*YZQW}0xJtY`)s)o$&8ThVG#QJl(pIJYf2^1S>GaHmM@pBmLxHkc4Xu2a
z3V3vB0&a~7?rP8Z*g|i4UK}&ir44Cg+tH=ljq<p#BouZ(sHy(<P6ryK_Ykri4<)1)
zJ;-IXK}2D*s{i6qS%F@^^U;U`Z@%nw@B6JeWTVzxt7Z3#tcQNjr56%g{<99iHo=xA
zk{=tC|A7UnGS`juSZHUe;jmhGM(+8A1H+3d&o~BMnYXu8$86>qiAXwZ|GN&tn{1%1
z&Ld1V2NSIOu*uKS_L#0+Si>v-0p#-RaJ5jk(Uw24m6Muwt+$zGd93IEHo#g7;$E)B
zzvk_0+nG>ST3T9L8w@u<s`Wet+HLgTd9imxyGQZeY;*3%SJnG);6GVOC5g{sdT;(e
DsC%}6

diff --git a/chapter_stack_and_queue/deque.assets/linkedlist_deque_push_first.png b/chapter_stack_and_queue/deque.assets/linkedlist_deque_push_first.png
index d1cfaeb9ba81070d9ccc0458a31a108b3ca47e8b..4137103408697ed39561ad53c721e6827ca78ae3 100644
GIT binary patch
literal 65273
zcmeFZWmuJK)HMoA8fgTjyF)spQ9wYXRFH0@OFAW`yCkKR?(S|7=>`Gm?l||_?^gG_
z_xJZ)=luBgzPMPjp0(C<*PLUHG3NRxFDHqHLVyAT1B3Ql>Zu|O3_N%U8AgJDUm~Q^
zu;3T0t)iqDOyMBWPw)>P1C{57FJ8bffX7HM@UYl0_n?=6|6yPW{(3R=CDO2jzaJ~Y
z(*1o6cu)U#FmQie4+HZS{D%Ig4St}n`JdnS(qR9*V;bbw)$lNB_kKNw41=p-Jf4cW
zf?vp1QmVEvFzD^jAJ`a1bV6|7FwdWgDm%h%CnMKue7k6}wUnR`rTRdIRYu13`hL3K
zxImQ&3Rn4$B12+2u8Of^rGgS1(I5ip5H6ZE6q7)Da%2iBZ1(Vj`MW44jY_vc!LwPH
zp$3Ok+mxGwsc}u0or?LB?JeGgqsA=_u9K4!VgV{LSY#;?2zIz9+}{sl<kFN5aFTc|
z=hss`gp3B0E`rdbIV4}aKoj(_-C&5VQFC3djQ)N3uUCqY73JQCa0JK`*uAy0+nIiU
z(1E`<TVoqBYeEo{#~Cl=cG;i6u|Alrrl!^>bs+Ut!XQF?TK1ox{MTE_3wY(KiF?@!
zY;JDW+WjnT$Cf$Xo+?vNoeqGJxRm?EjaIgSbfP8#gZS;8A92Uaw%A{H@Ov0u^>8-u
zhQpr}ZWKjeY<(`X;xq{!B~^WupGwoD?!Q<G6YkuaDbef7b&rC?uh-~5+_mu$dl=IP
z5qFmP@BPG!D90(7`9W;r5b6E(B5rRK@3E>B!&vT@_OZyg+RYChp)O998F?I!ND6pf
zYHXa|ER;xXvIr<()uO)TNjgH;&iXaAzwb277cRW+7;_N!!vs&3SKiZmwpEr3jdQi{
z`-s`XU{bhD$5(rzBC2y2GGWkb<7@>sLTxN^#(xj+_mWA=k@YT;x$z-V*AK(jZ-CLt
zFXX%=J=Dv(FNLb@+7w0e0%a4w$lB@#;Ste$OU#B5WFi;Yz$NY1^#-E<9V(Sq>n3)d
zjIhEz#79JStVZKUel~@q=cbT&ds5eZSju!qg{F}k882yE)^)4L4}G=y;X8xkL@zu0
zC~}NA{<V*=!$ru#M`J{7{G<uwk$%XFU?_<kOVC=4HQ!vG$P^;pPWNh;YL2{7ypcdl
z`syBq%@eEFGC}iuY`=D<F}W9+o%d+4GslLeGdldH_e)-GByYd5LB{-IvGOHG*#1z-
zRaZGacX1>;-Y#;zoF1{qjHjmm9p11QM8RL8=ed`3s5}m8k5{!XPaFpYejeeO#HAvP
zt@n+4)a`ucahAKn9jaameY?B30TGuIV`a&IjtI6fw^!!s{U5^*P&n0X<i04dw0V7b
z)=%-?<#+>&z?I%}q}@*R)o=sna=;HO#-ujAq@QfDZTl(I|9Ph@YD^!a4URy0xOch8
zz0n*5+<YutQq!0OA&VL|J=8T<SuiPlwlu`>9fX4ikzxXlo;Dktc*_rKxDI0B|2yFv
zNKXq0Q_xyDdS9Z5ZuxPTi;?%LaX$XQgS7b8V(1f3So4PCr**#S`|yM1$m{hh)QsX&
zW&hosRB(|d(dejB$`;m7*$AJpe88XTD?^3f2LXY^l1fbpeQga-SFoxT%S1rtf5i^y
z2A7su^r*F6YKju<>eJWJ$++uTq<bIHAW;1n&UrA2Fa6n)?L$9q+}1}!HgrB}|A#p#
zkR%Hjrjt=h<Q!L$BJS4Af4c!|Xq!1E$l~2m(rjRiv-yZ-%tvPE_i6fd3tr<im{ca1
znZYs2c}wgMF*l=(^jWJ$A-qpza`*%Fd~_5kp4?wl{m;H1Mt}>?RY>v^!z{Q@{M3>T
z&WX^Z5xZG*n1(c9=flsEu3?%=Gw+XlKL431vS(z0-{g@#$8f9LJRP#gM@GYQ_KbRA
z`vh&M%do`yOIF-}Z<3o5v;7?};#@BumvcVy03OPs{x^9!AskYqn7lrHnZEzNqLMru
zJEtZt-OrY{cvA+JXgh<OfS|9|l@bT_-xr6!fGE^TumvTT5TT&LTM6W%RE#|pwyFO=
z9EWgKi0BYajFobA%Ni@Z)feJ3f-gPW%3S{m$zMW56qna7t(CamVOV*_Y*R!>aeYS^
zyO91h?|&az5kutFz;QZlJ@SWlF)(Wq$GHA3dD#ic1%A)}b)_d9S$Jegz^wj&7%Wkt
z(k9P)dg=de=2PU%cC+gHrDvw5o>9HLS7oDO|GfwnBDyM(2ad^LOn1pMuf}@n{{)b3
zT-bKA!d5gq7To4MmjreVy<ef_Pts$i!qnf3BU!{d{ju`zIVJN7#*v3Hx`uz3^6w20
z?dJ)p<|NvA_U}E#E++z;bbz1f^zS#5CxD<Vj#`!D|9dFiys+?Aom$~*|DG(7cSv-e
zGHoN8|GsOo6*%1HM;@YywErG*7I_*B3!0=$#J{ri{~gHxU6DU~9wg}hyS4uRcSh_O
zUhte!{5jIY{BUakIXmpmT3IAxZC8vU+5H^NGMy;w{~{Si62r~2PU#hkB@a^-oci*2
zHuf5)daO4xl1Mq}0FS+hj}!WsjmrwYQ9EZ00`U{6f=LPc9lfEK8ua2GTbhPyFFcU*
zY$Cl4WN?j?dkJ{~!iWV5^UR-1D=9qfKFZZs5`42}2#4`_b{nkdwfCK#D-MLg8UVt6
zhrx0JSlpn`S>HEaYjj;Rm-y9hX7Bh=hlhDWcu5~@{WFrui^2ud<fg^_RDSzZ1a_9f
zRfy^L*x!14-qwz%y&Z77#D6tlxllukOy?QJ$@FKKvY5kKaUUn-MJ3MhUx~7Q%PS86
zxAN@VRps}s{EeD>eZdpz^U?OdNAvf`hy;Q7s^&A~|8I1brVgIy`|;vk&cDO{|3@F9
zAKrX@addZ-dM9vqedJ_LDCm4#{_fl1y!0#g#to@goqhC5*}+77hfQ}kmihFJo@g%x
zPjCfs?*f>iV=GSrGw|d7&L3o~AJhy=E7sbL&kJ|AXElc8!9xN^{iHV=lB|vAy1R4A
z0|iy{mn)=q=h>euq`&+3vFUYQFJXA3y_m1_W!$S?36)`OINqsRV43Z&gJwEunKY$$
zb!9w%lABjQ_Cqd{F@rb_KPTwLlB8~ScQ<E<N}v*aqTd}3%0epUyX7EO5~o$Hay#<^
zmME%+00W6U0y#JCpzoXA@AnF)@(kSp73GT;FG|^?kpmmAcIys)jDP>GAdYmbb$b}6
z&mqvZp5kIrx;7$7N)4%1tFm~qS8tnpw;J`*a3Jx)j1SBjpY57#{A2RhiYo3GKiDW$
zzsX;85?a<D4L&)VpR;Vb;hxm?uCGdz=Ua&i9h(2H)AGSL%x<eud*kfMs`ob^baMt+
z<Y+#SsuP+-2I79_*C3=cG1mJ1){}9yy>7}dS#qZ(U;M(l-C7LcYfP@Xvw4@I;#QQB
zmOj>|>phRVI;9*rNh0f~`I(+_jo?Z8ZRlJwl{~F}Kku}jRnBs<(iJ9ru^J`rZAEkG
z{3GU#+&HK5t>Z|<*)FIIkH+!URNqV-9DI5*XRR=>{%wU4m3z9R4O^y520%iQ2iWp3
zZ<b^ndVir0Wir^=rt|lt&Kv248g;v6Lqa-!)mEw|gony#Bm&i1P3}_P(0FDa&pxXY
zx;<ZsZaQn&Lwop`Oxcg4WhmfV2fmi;goZ=b+ML6}kCsNaD+ELvWASw`h@H`_K2QgL
za;=m)V-4GGy1V^kQTy(2N=4HoFH5&3&o}X)=zZfs@U%56&xz;^IJgg9iomKL6ip)k
zI*0NP;9jelSKz!9IQW3dQVkYRWtniTeo{9mU9RT31;bs$_!!(kf9-;j9G^i(2)C}_
z{)0E_En*8N6Ivc;a}F=r#ir(M`k2RvteRm3T~4VEFM>G+MQ#qs)+Y}Wj8bY=BW2_V
z^Co{zrj4|M>-=df%T;j*`ctNUo(A!Uo~ylZbHhm~&4Z(o=K_f8)zO#a++Qa?Mh<3T
zw*`?@w)_ap59V6nhT!#nn?D+%UutY(Mwk%6NRUa^4=|rH1655oJK`9EoH1)A=le^k
z?w9m|&R08CIcRZA$Iloj{lu$Y@Kfd-$mNjeykO_br!!0&W0vhWO8UZdSZa7l`&8(w
zdr-Rp2eL9b*j*1A?Q(v_L6Ht@GM(?XLxNq$lg2!<*l0v!tZ`fUWpa17Hy>RkZc2CY
z&FkmvXR=gg-LH1qg_WLDanNUA<)$;XbKI^fujsOj45hctc1|$yE1rn^qYJLZ>nX-O
z(;R1=@o1^S*t1*sUS5<@f25FHbmJ5;1m$FM5dcaxaqJsZ_&bbxnUH(V-b@X-b6d{W
z>nnc!h(n8A7`$OX&q`)o)`6#1EEjL?s7fA;K=b}J+|$B*dH0)>2|ems=ixNbb}=od
zA2B6|V3snjZ?E=f#nXC<-%slJcW{?@p2g#;AFx~MbOt{<PdJ)qXtcRy=^DE|TdGBC
z;_z6{;O~!rtIWN*>{10-6!|r<J_ffCF0J3u-8C7;eHvb8CH2`!PKxtpJe!^vPJQDi
z%SI<zxEHtU;BO`|uU<b#S+sQ9QWFreS`@*<xVsqgpee!Yvs1k<i$SMZD&gT)j{cOF
zmNDvzidv1tZdi22tn5W8O;x|di|QcTtxvDNWzEc%?V3(gR>pe5eSw006U_>on7@yI
z8Uym;HgzgTko$AjXA~O}bHzT-Z9M~3jK^5}tb5!Ze8`<zj5Aa5rLUxNv0X}OU<8>b
z?FSeNvym~zuOli&CJxul>buVUkkg<y`i-WO!S`2hl0kUP2nx+i-)lG{iBtABHnJCZ
z>oE6T{GM30W#ffmq+YUBE3);1wrgLBXesGmwc~#iomVF^X1MFfGyI0j&9CY7EVKBU
zj_Lb)`Iu{I1L5T2Vlt;_G&ir@+-?vE&Gx}&FLr#G*Z)>ay@lzXTp`-vPQv--e1psS
zIF69uyV1<qOMSF)8dhd#5~hPj!k&of^k3%%+n5w`?lL5Nca4lggIN`f-5C(``t8r{
zvY~7dTu!6d6B=e{Fg!Re#TkuNvv@>c>kdBg?sB5Z&pZ%wNI^IXx3;hl{p4y`9E1AF
z^O&E^MKF!lBM~OsP!i3Hn+6~fy+!mt70+8=82V(^>O}}qK_7D!k#*nd2g8T2uL~>2
z-)2aJ)NX$Hs*)^IyQbOT+yOn4?|R)XkJDe|Kixn$naPmEIMlPg|M0QrKopV>4Mk$6
zYWb{=KXKzhh-JH^*ix9swcc)a<E$9Qk>eL@FPUvts|hvedc73`NCn$j2)dB}Q`(k_
zX>U)K<Z5NEy~|0Ks9eufrE=<g&`%;ow`x1chxqYR{U-*?(jFS&^A?QZs?2)nxxlz!
zu`<U;C?KwCe4$Y<T^I%V?9<t63+fp%@-o}40%-9jj}6hfvSNB3X8%t>cnTLFn8N>l
zlf-3vq`~DZfy0OfZDYEEvCqNdAV>?E%Rpdsn|E{8b0Jv(_p@w3w}?X`>@Lu_tn9`X
z=W)@emEy8n1IS_9E@B5Nflu(AjD^({s(DVQAm0=4*{l+n=Cj#t$g?2#+|DfAN_;WN
zXU<-~HaC>}>gJaIDKW!vZ36Fs17H;0&a!fg)NISp1>;o5+M~c7Yk+<I{iHFu;MbOj
zk%sAdH(9{52lr82XgPqArSW|EYOjg3qGsCU>ko50MumF)2C>I0Dr+LuisJh3&E)l$
z+AxIm2Oblm`qOP#uXN5?wV|1H<H9`_OKu2IHSE`XLHxwNeJ2=3f?1Esq^6r(alk}~
zVB$wuR}Mp)!Fp5jBNW@0)rE!YYfdvN^svav++dd)G-(<A**1+-`vaElI8z^acx&$S
z#zBd44&8R7F-sL>BErSW4n86lWaUAP-6tU2P4ePd@n*OyRGJnwaL4FKQuAY=<<hd^
zBiBlCHe9TIvUQj&*73OfmWtVP?uFW}-F3?h-4({z;8UZlrv4z&Xf{}Oy^<QN8LV`^
zgNOd+{w5|SkxIH5l-K2B;nD<>YzI9=UyB-@<(u?F)?P=@CtKF-a35NhkX<z2!?-Vg
zyfYKm3bH?&w{?lmjCobV&+Jbm9@o}zkE@VYX@<r(MlyPyx^3p=_~j(p?~WFXoStal
znU;s3frArBl?GGTJ+Ybj8+wb7K#b+u*AKcpn8o6$hI+EM5$X?n88aLYy0Xiy&HOMD
zh(-?BaVOb$e{y!_xf~7f*alH|v7y?@kC^3fnvUmF$Etj&1JH>Lat;Xg)~_IAqrU$s
zib(8pY>>APo`{frNi6a1SiNa<x~#~lZp4rq9Gx#wAb9dG)Rloi`q#arMItY%K5H*U
zRNSRP=9{<s_QD&{@n=??gbq3ZC*9QjpM4Se&trSMpAAvjOVHA8(Q5(VRvo>PW?ERY
zW>L4}H$Dflo}SEoJ!@7%_L5~D<<S}N2Y<29nmp?#D{Q+HMWiX~=V^bjrPSo|;@8Nk
zXy@(Z{JtEd5=5@tz8re;YqP_99@K2Da=&NC6D|^tMlLD7zMRP`76%EnSZzK`P>Spm
z9A@Ri&M=E5*;ClwB))EW5myu=cWc{E6=sb>1(Cnu;Qs`5FKj4=eV9A<A4-QC)G=ij
zn&r~J^Vr{UL|PW0Bi%InKRfmBTbcq3IJo9A!tg8N{JK>-Hn7b;dQB()I&Z%ciawZW
z-cNhazW%!MSLL794vr`_f{DYgEC2p%DnK5hESfdq|Nmtm#*&a!k6R~X$<(F|IvxLk
zU6akRyp_(7uSG?yvu&sVZ;z{4>bzevta0cHe#Bw3+6|J<>b!}>Ku)TAU<)c96W#5U
zYMG(n$(RyQLKtqb)BxxlAOkrBfs^zPIi^bGxyyghjx!{5wSBPC71!RV7s|Khc@I6F
z-9Y-tSsWGtc`n#iLqo%67=+FB9O0XvO}8gSDi=%sq@g5&{F;g)BzK@JI{(4yaRCK5
zTS4?0?oRe&xe6Veq2}@Ur2?9rttDL~SI|-lpvFM15WHIeLNuL!X7S9~DOvOZ0cq&^
z(yKP*iGziOj43#=63BKY<-XwT{?0MIA7FIvYaDNWE&BYxVftN;H-^wT2=*=)KjMPe
z+&`ID@?CCZC^36?ab-PIGDlHQ@wmMJ6_=tH0=&ge?N(u%A6gJvircAbuQwtFI+xT9
zjvQ|~sF8BV!BM7AhSnh)?I6)(0N_8CIVcNvXZ3|$9Vl)g5XHL?p84(>PoYOF?@a-^
zJzMa&WB8g6*(s=;{-W0vnl4I)$Ex)5N5l1aRpa~hWCx+6evW_{kaekNu1|_Q+<-V1
z#T6Z=W>KScy^Ig4AlEPRG5`fV2Afw$X#N+H5`h?qFA^@CcY=EH6bh)*{Yh%Uebw3T
zyj4@HJ6{g!LiT}q=kusa*MJVtAk?qg3^1GRB3*(UH3Xt+PVOP12VdIuP{+xJ%B?(1
z4~g%eG2edtZm4dr@#>(9)OHKxSX8vvDmuQ*m6OZhFHKv8b&VGTmIy=U$1V%5M*}6K
zD4a+%2V2dLjFKYiV;I^(C|^Bd@wnO2Dr&sk%u|zL<$t^v2-4-v=?ruh$i@AJY2bu;
z7(4;G_~|h3M0<*i6R!FG`>UI)GmIEep-;M<&51iD7{nr5q8(sJc&;|KPsV^~ltvCt
zn_ssI>z@S<gV`M>z1{cUDryp9cLdWY@quRD3PkkM$&<Q;o85Vrz2tn$Ty+tcJFwLf
zgxs8Wy`hzR1`N#y{wYuRLSAOo?b_YitrYv|cM7Bw>-)1Tb=##qojvS@BUTrnF!gEW
z-^#ab$C4!Tyt~=+;OLsMsAI0|3i?!^NkY>?C2<XAomh<qmDgPr2AU3v0FLUplrPN7
z>oJ{&>c`-E!P7~-yYnvL__@2Ag}ad<4EKHSMOc>n{ht@0PFtNCv%1r;^O06>QGg+R
zKc-OsdegH0K*H0kd_;m?()tT2D>WHVXmOjJN}$R4@8HuL-)#8F+;0YFDmLj}FXo91
znnTn{9y>O=hhc6Kn;rtZzU?Tf%c2+JsFU$yyN%&oy^k!ni{2QD4IMJdyOthTYGbS=
zbxg{kFP9)$Btz@gUBp#OeuSN;CHrfiESJqS%}P4tgf3PA>)?NxBIvRV2OW);$Ibgo
zs@1EgmqHhSRtc6BJRTNbDN8RNm1gvXgi(G{a%iJ=CV{O7X&(RLo5*%1sCj2Bn*@oh
zo|MTy(&#PNZxc<@GfQHC7VthVh4-89HR}|-ua_CS1O=@ZE^R6QYd^>+!PHA9e`0&7
zxkE(&nxXZ>L+Q#t0mwiC<|K$lmWG0aO&88~<690!BJ)$+oNS+*=m3LdAElZA)tE%H
zN6OZ@qAxpRN{qYx;P&gCj#z3|v3J?qhulv&220vNO>8~DHKD)5$o}vhF>y)>Y@u22
z6+qt3TLt)x;;<#spYxcjX0givZ-dU@FlB(B?U(WJQE)2XcOms#uo;FbI95x=>}m8O
zS5{<g^Ri+C<8Y-CeXTlDgAFC#9NmLuEVQn{$tALt2fG~^ziVA~``9SeO=6Nmm-jwa
zta-+axX62(*$GXTkO{9rjQPb?W+;)v29~-*zBJ@_e(L6jeM*CkyTHWg<z0~PkSyS2
z(`#X(7|~M#dubacc&efo!o^a%LBU|HmtxaPj~kvX+82=#|Gjc!{alI-zP`>bAa`rN
z;p%5j>U@z_)2fn`<f!VB&@;q&fD@~AdQy{!AUv$j4;te7cY+7oX^Cug(~p3DEvo-G
zFB7xh?hx!!D#_=u(A+{mWvZJ%9+}bZ+-}aKw8-;8&9WgT6?xwM%6#=01dG0EvQ~y&
zzwZ69&8^jy9vdq%oU)KJ-ugJeBl%DdIJwp9d}J?Nky!Z}m7xM44TV>>n|ntW)31~Y
zqPKn^49l=TJ~5rj@;g=PAXKb@N5NF$><kg*&&e$xn_9H3N$`^BW!kAc4wl5PqI!uH
z*Z0VaKrpIhY9?2Y<D+ld7Qlr3nK{$i-e@W(fo1q1aV|bN`}w+rY@=)&1TR7zX}bBQ
zn3sm3%u7D`bM|jKd=_?+U1~MH976&eKObVC6*k>E`^^Ie;edQyNR0i9K6Pcu>{$<O
z>V5X}MAJgiI0~%;!*5Ky{Ra>6^AxJ)olW5$mlA!|mZ`edZ<Yy`$y*uDY`PrsxNVb}
zwVyH9%Yufl=U`o5v>NFBI>A)o3Xp&*OyvHz>YOBb@$R=rsfcQ-<1XW>MhcxZ(ueve
z0cwW|B{3}49X)e?k+!H1UTI?s__;|cSXqgj_@o4w75%$B_POOT1JON@+?zwIrDn;<
z@~B4RW7^F2d?4*xK}64#%it9@V7s^o;S~(yw7IEUapV#Lw)T0^*8z7#R({_?2VohB
z>wxH(`*xD9euWvO`#s6?`Q^y>P3^)sNFjPj&F}CSJoa1`GT0*4lL!aoeF-1sy_Bgn
z2xZ#+(FK8wB|u`1iG1uLg&&nU!kejd1Z9W#!%+?22f^A<<Ou7}X!#%;bf<&Qh|>|U
z^q!(4;*2Qdiu&MuV9wRrRFJ1lw!@w(*loPBz?LRYv0eAZ%VMW*ZrvQ$ceUA7$|JzG
zSSoMF4{=GzYNBhfD&Bk`Ov|EVq2RsFZ5PD&z@MQsVMBKu!GAs;x2tA7B?x97P?J!W
z40u=Em)k!sv5=Tuw%qH-4A5K)D%SV-oQ54W^-0ftEjr==JB&rLUKVd-XWF#r#khQ@
zp+Ki&rRsZGGP`O*AJYs-JfENZ(IoA`Qc1sxPBo~s1YRTDaSOveZdv8uoNWF821^IB
zaz=pJKcI&nOzj4(@C7n`hE!zmh$G<L>K4)oN4%uyaq;;+?;~XJeY7=f%M=FeFjL|)
z+0uTl2OE7#$KklmEj0v6Z20%!-w_ZO_nb1l>HPlDSk}OuCWF0E-hMX3dZH&sH^HDM
z*Lpd&ty9YEi%&3ygZPl~+zak0s!9y_Lk54ez{nF`OY6?g#QC65$498Zfr9?{bF`it
z-99EEyDz)WJnsHIL@kRi)N$8zBA%Rq{5;)!RcwM?_3BJF1}E%ISn8l;SjFx$Hv>WF
z|1h{<m`(gFe}}jYbsyb@Mz`liz8fHCJ3RmJ;2D{a4kt5-p025?cc3v<hE0-*R7}!w
z8h6`0A{WNS@aZr3l6FX+(P7(UVH*O8IxvXbMig%FNPN5ZmG9xb@GnT0TI{z(teUk!
zE!1--3)uSnE-aLo(-<>lbAKC9_rsHU?l!DlEc`ZGc}qKFp3fDN&vLwGC9TrCdd1QC
z;3n8uw_@IC_Phup{-g@<I{^j2t^vU(zma>II&ye(0-bRr0|)HuC~N}a!?#&$-jS=5
zCSMCMO}FnwPv6kBKlE>xTM{KuGLA%yA2!9+Gf`)0vr&(I<gc!thtQ7Ebzd=`$k2OX
zauE<7lm?tsTR!5{>0`MqlVnUS&p5h#RE#IaXe2ld)oY(UXUD7~O0Q+}d)4lv8Kuam
zpCGoc1;7qfmu@e>E1KE?lPtw=9^WSqbEk25lO$Hoj2qcRUtFM&mS}>*GDS<TPZQ+O
z<Jqx6z7q@K)h!|OS_Y+1kdXlZgMXU@<PqTZqa!&kirdiJTKd@E;@yi<PS}Z1IVQ}P
zr1+c`?#o$y&`D?w!4V6Vr6#tvan=z}%Y>o9$3@e9Y*lJ4ZU9GKN5o}!Hvdd=S7X$n
zW7v56J|RT#=J=az$m)=BYbKLE<06#r_>SB-tJ3yC#~nT(E`OvW&t<{wjE%T{SsU49
z6FcfUdCzq{_3oOMZ7KM}Q(EVwVBOpW$}j=;+Yg?xx3_0aq%JZKkmR!cHcYXtb1Z%|
zP{k6$rk>%&obTA)t0@VYIJ?{`;yI26Yb62;f(OLvAJ&B4Fc_VNYMwoS$^k1%xaEDt
zNfZ4U;k*Aj&H`mkk&187JY_adOgQp7t&k1@ExeW0%(72rWB0w2ZaJBn5UizK)ueJC
zqxJcaK{bn#R2)QjAC@a}9YEIiNKU%Nb(EAC9&d~=MN_lA+D^DXy2LUvXjauHBuk#m
z6?4sxIc90>`PH>O0P7kL2F<nmsaDj}OMqV(4NF)A!(Ty>a!&C#xhLd1Q$!EP($`zp
zcPeLC9@)KE0pxtBfR0mYEBuRX2XTiZAzeVrVS*K;L;<?PuZn&fxww%>Uk^pJo~l%A
zBweiMGts)=R~%M~^bWwu>F%kE*^kshp>kfCE+JkbHg<3oN3WEHZ%9NS?)!AcRyU}U
zGHK4_qx=eKu=u@vzNLg$MO}5>iuZ9a3{Ar8UWd!DXOhN#8wMur++8_hu;w3|60=%!
zjZKjBIt4be5`Q!#3Ayp_s-H)hpk4&RGy<$H8hFKD_-gQqEJmMF23b4Sr0IB6#%bng
z3qklLl?P?_Oh0g-kg<AA*H^s$rA&bM7flJPUS~{8#Uk3&O(l@<bP{_rX`0KQz|bGY
zP+0ACvm(tgkA4D58O?k=<RWlI>@`J}_&t6M^XaYN3@#rdo*tM}#@6J%;6cEMLM5v1
zvHCD2k6}?nUo}Tnz1HIT5It&Pv}?eB8h+=*CgAD|)OFVt!H&|t|7_sp{St#R)c(Y1
z!|E-MqfZON&+qqG*!v67d2LdqA^vX?g&i65qQ8B(Dt`>h@v62;!|WI9v?-QR=RT~`
z?<TJ3Brpw^`^es>+jKRzH;T>Y&z&9qmR|;KcQ|t|B7W8Jd4P>c^r$8Rv$Tn+nYiZX
znS*0?xWUa3?&(|wVdmN!Akc+63mFg!<6+_q4j}>(wS`e`|H!;*PQu3Qb2dP2lda^#
z?aEq!oQ8W}7B&XTC#(;h09LQ^EVxF6Bs#*cZnbWM+L!;)%M|vscp3HH^hbLv^?AA}
zP-qwq=nc8i;$M=7CtPnlj8|O%3k~LYdua^IQm=k<plBc4Af8h{w?H-H!4?Ja$1ya~
zCY{4Je+;7<)+fU>Z_xcy@?;^>1w?Z5Vnuk}mcfgeZ0ivEw8!k5ubfd$BM-6_!^A&1
zMGOYYO`^mH%LDw6Kd&*yn-Dd!vl<~sfYV#T!xB-wBpbjRnCQ5ojjV#%3<MlfnYbQf
z->(V5x<0br(e>&*BvKV2)zmYu&xv89<b-dIGxhMC!NFjeIc>!ue<2LGP2uEq0>37~
z#zZR~v(_ZDn(M<poSy@m1_-*o9D6KI6QzJBr2;uNBF*fN-?3DVEK_LSaV2Dm8c7Yg
zz2iYJ%~PY#<KY>iEAR#HK@r$_v546SYO*#>QC{VU=-F0FSsB-OpF?bVV*3mYx0CNH
zO1ScV3OJu1M7a<&fEZbGwM&zlB|FO{`Gs9``Dw>DLKf9YB1rK_)oP2b1I6svc_E+>
zv?JY@zEERve)T}Mk$6OL4lNH12Pgq-9F^{}pqD2teU-lHU2K$1)lTuoo(PL?z}xsu
z{p^x<(ISw$aOp#LJGT0;aCzanbvsO!^er}diM~c4Vvq#4Z0Kv34veyO5qbNCq0zN7
zCr8HA{Ln8fnyrIcSvxT0VerL!xPQkDvMo4FA5jkgns!IVF;jz6Pkr$<kz&T4`dgVv
zkmqWlz=_#P+*->wKX_D5Vc^<9kLD+VCT_*ETJaeZz12=_BTIHI)cNH5o1d|ns%ES{
zN3m*|6Jq1b=p7@yuRE!doq;2HYWUn^#pA@%9qW8kSK%E{opc_sO}_^!RX^_BCq^yn
z_0qTJ$qw_PSt}msb)+p9kuogEByU^4{3H_9<gH97Hn|jyDhr5nOFw6$Fu<6qR3y<R
znj-})?3V=K^%Lns9^2O<>!UsAU9t7y5Z<%iSH&E>kLmth=7wkL(CZ)CJGB1KR5ICk
z?d8l}`7D3gMz*3wwD(llwT|-f!&EEz$~^7^Y%j@;y)gIV3^J{Y&)v%^jcoRN^Ted|
zr5xq@j2eEFWy;ZcP-W<%YCo~l++R19nUzfSAgz<DXG15`(&QbByM{YN8;5ea3g10r
zXA)~>zd~0r`fMZ;Fxjy;QE3rhUGzTb!**Gozm}yw7+oDkpe&r@z0qIs>vf#K`rfm@
z-N#ZF+{wftCn!ept{dYKJKTz8!^!Ip<v`ZnkG>K-k;;g(`)*7~D3#`l?2{UM{xXK%
z%CJF%S4q17k(@l~0z)2Fy|GB8@0YhCR|PVF)BGT)?PJUbPzB@S?oigj1>!bact_8@
z$u;=B7k*&@F_1a2Tgw@Lql3ROX*UZvKK2VCvHzh~kwG?+LHbts58~{vhh%l2UYT;^
zdHd(Y{e1~Fh&?RivUUHVZ?}PrZge(hobbDJ{X4})hl6|fdA#!<`nFUC*#71mGJX$4
znc0g)qgHumHrde>bD#AKSMIbCANGcFsDx=59J`b@FvQxf52CH#Pt194@WRuQS)<P0
z00po{bXy;d>p_?hfW7^??!nkm1@uo89Hcu^`q|F9Kl*IRcjSH*yYkD&=<)?{=h#F|
zh+n<Fo)k4Zy&;CZdH?FHH@O%<UK+UjUKTk0=!zq7*|G^AZVNW(`D^kq7g<A^s`6Db
zh{47+#ctMG$IvW5uCBdYv+NPh*>wIfSg8Z0sHPkxA<r;H!k<p4V-1*7c*SBb?hTNt
zzeO2Yr<SLIlV`g0>RZ(?n3lZ_RBlRe7blpg1XFF^H#5Qz1jGN7UQxBET)?nRi}>q6
zU)$>f&^qu|BF$lMUOFz8JpVN3;%ccVcbcBp1DOh`8i5zK?K7BeFLrWI(n&iSgTq2j
zB?vP$CVa6Io?2jOVhY9-PFqdl+KxK)Fw`-*5^P59<%hK4YYJd-!3)o(hV$g=imp-*
zP@&Et``pdn6gAFi`5=IR^FX8-a|6Zkqg?tNQuSrk-0+*5=G&cDH>sX5zc!08I(SRl
z+>7A<tT-`vVyb~1?U!uv_XZ{NS_5H>$3JoC7kvFyG>J?BPgdL<<2UVp@7@15K4j5^
zY9G{lP^SA^_6tVCLk^=s*X572poxOO<hq|@NH#^FCcVyFbs^KKB1<RqA1+z>2sr*%
ztNBUMaJ|0Gz~Oxh6>Ia8g*|RT!TG&FtxDw%Due<&Nt@!h3`jaW#v?q#p%l04gRYmU
zLN`D%<lioCvzbW?VXfO{--KF--jA!&R*8OD1LVRKP;{Drpqjafsuk<1>Fa+~_|M4=
zgj!YoBF(9W-@?g%fy&+%d(hx=v7So0h0mlSQX><`Qj(nxDZP*sz8nD=!4cSpGAxxo
zIDy~|lK=V?vBPZ1!;_$y3qTe-uSQ6^pSO_$VW<)fEm2MD(CG)d&L8dx9N<K0Al@qL
zR>q0^L}n^!#|Cts+r}A?y^}!OMVhF0WE&jpY@X8Xo%Toj6b>UfvnD{OS~Q%DQ%VF^
z-(GHk)JC*LuMYApl<|d9!GK(L2f5_{Z?qP0;Roz^&`uk#dx(udiG8E-{z2mpkWu*N
z8M234ogQ%bnE%>s&}ahMU9J~$f;{Fy8w<!DOu(#yNMr?bQ`~zt_+&2=^TcXHfN8_L
z``$I+{h_LDjbZWdS-3cQPk{%Rh%nye0R0=l<j5x3meNGW0Y#x~kblboz`R_A3@hRy
zK;q_Z%^IS8FSpV}dvDtC&$&;O1T!IEAw=!<np~vY+RaUn!WM`LFVW>E?*(U6fFs&-
z+H)99uT=e1;B0$}Lp7BN_`;TZ`t)mn{g5`vs<p`d<SX!msRJDYU)@TyNV6dlEs&na
zQnTaOjPRfP9vABR5nxo4PWz550Az~b7RcO~l<x!#PL^xOgEyHZALE!7sJEQ}kUZaY
zXd-0%q`Wa(b3~t$WHb7lwxl$!cylH6N#XObZ`DpmCYyAXf2>zv-k@Qs)wQ0{tCCV=
zehr8~$3MRrt%UH%g#>=c%1-BME;$&>QyR%Vh=lAe>~Bjm7I0e3R<APmp8EvZt)Fg;
zc+ZXr90HdZSn0yAg|#MMzCz-dQ{Q+EHvHqD{G(PaXYuMHaS4VU2L$r;bdmY+i%N#d
z(;s*)s1GU^0ZZQiWQD^@sPV{V>$%DMjdcID@%8cI{&*^tbQ0RfYIHv;-{ofiI5NpK
z+WM6mp}S$23XFtisk8*{ZA3HhM?BAcY!g8=Xj)M5n&_kY>-1m`$BOT-gHF&MNFB}s
z?$d9#vrq^al3L9p0bS8ST{4`xqARJ(Vmmhmmd++`EoS>00Gq#J64?BrV9D<r3sHb2
zZ|<x|Byl9`iM>0{5iW_a1ire5G$`7m@(;=$?E%t!kVVq>MSIXyk;lzft52(QAU34*
zfui_Hb;eZ2IdIL*0=`u#WmEr3zef2;`t;rZ>a6%Jvx%5uO#&0bZrz@cKtoZ}Eq^WB
zeH{3GU<Op~Z_dAR1M7rR73_v*fw#MScmo!J&a!NPdo{?=e+i&d7^4%wIKJs$DW~tL
z4<za{{3k>(hMGOe*~ewlh>`5JC#}IDbpZij9<Vobp0qC#ab-m-N_|<e27Q@VtV3JP
z6Yb8xxUz3NVed^M#zQnWJnpU*0NuGYoGy+W$ddgvvj1zmml@@6RRSa;2*_pdi;gmo
z9T9EdB+?lJaujPQ5I%0>*bh4Mo7}+3Cw$OsMk!!CoObRw4{>V*Vu6!o76VY9L$ld0
zUBC-0@fcQc+<|)0jg)M%Fl^Ab{#|}({I`u2d|sLqSa}N3DOrg5Q!+T(t{)ZE9<*{v
z-IKs3*v>Vf4%AI4P9t@aqzM}JF2L%)oL4J}^cj7IvIuD3k2$eG6{qu@;`<oB1}u*N
z`C2?;*Y9TUW5TIpmN&krN3q*w{$J-&9Gu7d)H71xJQnv10|7sf#b81mfl$EF>S1J7
zB`yLwkyJg~MM-BE=^aQ27L`+m@b@X+j4Qnqe3b@UrP8ieEm{qA>4XqJi9ICuCyJc)
zbsQ2rTOH3=E$f~*DNDV{7kNXS^u|l!AG`;cPhDWD4NBK1L@wv|vY4yIIwhLTq*A$E
z<7w&%H@lOOV?tr7gSrY&XDp%Sz7>Z#kU%nmcqdBn@rY|qUKBWi5H(UI;7ibzxw<k}
z=g`#?Oh)^J^Ako{s@0)Isd}pubzQ}uLK1wWAv8tbOAM1rdxZql$0lGBlL#XbTxM7R
zY8D#CrlJh<vr7ZNSs*$Nx2?7~ANJ5z0dI<5u!sQS&8+;r%~Z!_WPKYigxmuemKvW|
zT~L$ZC4UulXR$#13J4inb9Fq40#z?^>A%+#Y%VzeHPgA+koPN^1%!75Q3YCd*&=A`
z)394Mg+K2MZiA+8y~WUCNT7RJ5$rE|GEM2UIi#m^giMZW2}VF;Ch2wAE<xPYLdmb3
z1CFHKraO201A}x+@gU2qv%RJtv1)iJ2&&nrNZMn2PV32%0^BRuOS7PfaCTnB|2iu5
zdNo=}E`i&88jQ()*1F3ac#moZp!auZZ}C6<h{^)6%DW#Ts^AJfIh1P6zoqhfSFEj&
z5vsP=)%1j!f8DJYFd}LE08W2BYIw4hkK+i6;iBqglzgh|_+X`x*?SlQ;c$ccotHb7
z9#EDaNUFLAubKAERQQNYZBTodzV*~qyDH2<583)q>dWX8sNf3d30gv`K3;z)X8^oW
zM!T~$AgPm2)u8h(daf!i>95FJ^wit9lu7($j$nuvDclW7(R8iXSx%=xT3jT`Cb`>h
zHIihSZ3`=tuKsW*m6Z68xHeAR%u)w5C}wP2QdZ6JRhtFic>T;b#Jds<tVGGqn|Zw2
zZ-4+C&1DwT9`S`~?GSM4ji5qr%a)Yd0{VOxu&!7yAx>HTJpT5Q)@=evT%DKt$43BN
zOb=5sC%qA$d;33{?E?uiYBz-%Vt@BAK5pDeqD>`-^{{HbJRc`@ODo@-WL{!qPT+X2
zcA9mSh7>&01`vw;WDJO^*WXfaaam1GGQYo83wc$6uVIIkkOVcsL3P_agzbC%5np6A
zmL=RlY*dUv(iY3eqx#9&xB!-&<vZCPHNis%PE@}hEe*2c+8;-~PikZSii+|&aF~TH
zPJQ)O^V!Ob(+^)-E^#$4MVxDIgbR7|@Q%NE$ddzN8}9S8?8Zj-Rv+Z#Ck`}L5w=~=
z5J_lniLd3B)EyT_C=kmM;245MCey2^qY~K-P!#Q_4B`ZVKSEC!ip&^`>Ob6z#qBL&
zf2A!<1&L90`V{=(uh<q@vGSSnyU_a{G2Kvr3Z07@PNnB{QL_{>BzAxT?@O5w73RZ!
zYr-v|yK1F64Um};8k|k?o$g;&w{bYksw2NttZdBs#+E!8!5H5-*c_Tc@6~o`leyMf
z{*!8Gfz5|4GO5cA`*EpWy9EL)IBNr+y5e39I>zHR|2Vg);A4b)%i>waj<Z824gxB>
z>$^k{3OJ?6P{yK<%_DaQb_6S6ctaz%)CS$g3BdlYN5ZA|MDt=Pn)p)jJGG>ZBCT$Y
zj<GKqzT}lqqFwnc&dcdWqtQM<(uxSg>qEf8vlN|W{o@6nkuXn*J|sQCc=DuOKvGcs
zixUk#4B`l(iHb~rS{6ZvI|xIiWb$fwuT3)l<YSQ^SV)`rbA;bnxkk*@rY}aBM-zoc
znnllO-Vn#xGr2^0!m&du%BeRQI)8315}8ags&Ro#Qv3zu3qmx3_3eg7ke<1d;2Az8
z^e@#h66I=u$}|OWMb(9J`cE=rNEHdTmE+e_dvzm`&9=dB#!4jER^kQK@;-o5&UpTV
zpX+yy2!94qxQPtmtJcBFGJj{xew=7M(rlj5Fk=%6Egn{>fgLHR14M}5h0r*K=VIno
zHNFDj*M-N7+$x_vuhG@0D}vApIwst~toeb@AT(Sd{>Mucaga<cGA_-FsH>}8y*H?7
z@z~>4E90oM5X?NlT0;#IVs`ca@IuMIg|yrdR#FC*3}+F4?w;30$gh4lDY8K^0utvB
zFjeY}dvd?YhH#MttbpAGZ3oP@9bW(9OMDC~D~NyfhJATgI=G>6n&G?(#9~k>{$d-<
z;Vf!?#Qyx2!?6VzZwrv_-`QP4eIG!MEC!J7bn`o7)qxK(jvodo$tKkDXAe9mRWHQ3
z92VSol5HI}hSQ<eWATCMY@th+jH@d1PG$j=&kjq{i|Gq(H-xvyy4CwiP`gWSGzbi`
zT1ke#K)~=V9N5ba0PUU}z4f^H^<4k}$btwy1&~&TC={u*f5fTTo~g0~t~;PFcz{%O
zcNo`X1`v}`lC^~S&V=r9_KQ#UpfvCwe8du}D66yD9RY0vVU7b3!5+W4Wii~2A#h38
zaO8{m=Z%iXM6IG2Rht3!ETBPz5)`>lS{;nRj<}Ch4{9A(YN+RXyv|`S_EQik0?#1O
zfRF0sQew|6fpJ-c5T_cj=m)dx8z2`HgOo{Z(@jn{nV6VZTU)FByepKLkPA7Fh;tLP
ztuz7iPV}Yu@c{)Pw0mXb%NQjnbVMc!HI!lstP|94W(aP0>W0Xi4`loUHVn^Jyuk;Y
zf<04q7g{b4c_6lUG$af~1QY7E19Hi|Yf*>|m%yBA4=9u{;oEaia(zGK5oKDgwqCK?
zOLAIEpjH@T=IJ4U0stJ5qGebbGAEF0?AQ(a<G;NWb^`|Wb)qaowp7Qe1$P%WH@C+t
zz#x<9Nd-*?89Gq2Fw@b`i0!C8;2G(vgGWI+N&9X)v)ynuZ%*dfwz=?7gQ(rAknKgT
zs%y{md+t4XB_-k0j>|k!?xmKb>=EQ(r;?;^y(nNZv5}$&CWfUwcZjIMUqJv$ngw3X
ztCOuNAWT$6h5+xE5b)$14kmqs5n4~OefutY)c$HzhE>CH$=9{$26%EB0Kpuac?4>p
z-3j1511^OJoX{^IP>ZzKc?!Iy_z<KK0L@M|GQt`G^9zilm1N!vzy}E*6soP5L89Hh
zqv0_3fS^qKArJeH=TS5v57{X8G6SOJ#wD|o^ZRXTvhT?HQFW`S?Z+*u#dCJh3sudK
z`4b#wsF`t_M<R={C+Rkj+CRWCKoi>Gd>%)nNEGtoyeoh!+yJ3b!0!XzJM2kSx(>je
zHNaq#z3UDLf?O?zt}xP}iHg@K`!Z<Lk$vE67nZL&8tz2_;W^2(v$f%S<F)aCzn=J~
zT2Zy}qUzW4r$GQnfP%puz@Wni7jK#_zXQWYJ=i|$=I;P>33r2lCYnQl;bY&L<lUX!
z-9pFd0POA19MuK5SWuHc6s!$FS%kXumT+Q*{4+xNH+h;a&`9QhUn|=65}4(tz$_)r
zFtazhobA?}P!~P#6rKq4D44pLV5+mp(Fpyb@ovEIEc~n`bE5+}sVW4dSP^&tB;Pd4
z*r8w>n?j%%L+grw-~^a+XZ6Aa6&(P30j=~Ca-fLoRIv&Aoe87KMe%TS+5LSDtBmxU
zabsK|UltO3aQJU-wnK~De|$|4KJmV|x?`vslJ|y%mein@zXm_yG)BNxj8;*u3Bm4W
z_X38-#BG?|E@JyhuOUI9A3#rXrI17bEc=vC1KbL#k(ps~2OvVQ-Y!4yBy<I&u#FRt
zGfP+;3Mv|}=|hSm2ra6~Ij^9$v2Bh==)?q^cA9|7Z3Heb9=ocFE$__WgQ0=f@mzfc
zqZa|FCMNiW`Gud3Ep}`|j3!xZOh&{q(t@ZAIgq32L6Asj<Q<3=xx(2PFPK4L%nvv1
zYWBKk%b3Rp>{CbMRjSm_U#s3#0=UA>;CZmL{~m|7|E2q3l-T?yCtH4@{VusPO;rw$
zrNgFWjMsN0_LDjufU}X>l6K`1I$BPxfUYt;gw*XA3-wWe5&8B7AU;Hk4j0&OXVTmc
zHV|@HvRTUd+0h=!h6;|E1?a40Akg=f1`Wr{jQ{AwK;-`jaoj4XT5~9`cRQq{<V#hm
z>VAT00_^f7k2nl7cO&un6YBZjSNX)f4^nSr4)Z8Xy>|D1Nju@N!+qDX^xjf%;v{Dx
zZnWFF$entms|l}<ny3{J%3k)gKz=`alLm`T_XYx7iac@x2kkZ$jXHG~{Cze;yDQ(x
zLrc>ADvE@^|Lo*25hhuX_ijBg>+az(gcLkS87NHgC3JZM7L)*%o2PXlh>qGHQc13R
zAsF<%=BX$K0jF_qH2ugT<mWC4=+v5weAUKO7x0o8+;_mMQWM`qI^7y7Ejw8t5A#k5
zn=)F|{>+|y{-s$XRGGSE$ehwsX@&dFrlr1SB4u1>J_+4cXm7ZpT}Dd&XTZEK!yM+u
zS`&F{w8%I#sNVXO7nLH1YeL12mTywyI1mf^qaB|g*-z&S8&0S5YWzEu3qj`ViRU@>
zr_w+{hmHN5MY0sxQN_z~5!yk?YsU9khP;Z6YrEMC4T+=iK}7KvkGor^PY+ak;#z^`
z$MK!lz@z$;S&u{Aq6Cyv)O0=Q=!v4$6Ih_102VLhHy!<<#p{d5NI~H_FH=J&sE@tF
zsH=tm+>Tw;Cols%N8VCoT*ckRo3ihg8~(RT0w!a0hC1B&RBC<Lbf^$QX8r)i3*cKL
z^`U;tX?D?<^Ew_v$_{u1JMnKiTZ<qO^PTO2Q$GNDqe6U~u4Q9g;*McUB6HtSWUUxf
z;2O%AW+nK=^i<p+GK0iT{WV&xN1zVmW@*sgp^hDFPvK>Vy(ojNWiVXmI<kaR%Xs|k
zOC)GQqfT(4=Uii9vw5x&c(?S@;}XX?#^CGoC*je+f(JiRj~jUc+OyF6nwLjQSDAI!
z!91GSpCH8q%k{;Y-FfqHU1%`d1^N4Q*z{P_a~PY|fbX~|K4EdHDHblwpmdWNT~fc^
z-uJ&=7ry)0hDFhh#aaY936&p{%lOvRf#g&K+FD9fEp%=*Y2Ujpc_p$Mj!ld)O|GRS
z4$(NcF5S)=!kYvLwBPhSeW(Dd4ijBP6>b2jet8Gpa0TVIOZe97C2wX$5ai*B8rc?X
z)A7L*O7rvPkBnX)?Qc6+-A7vKp{*)D`uH2Gz*tFmHTu9<{!mRpZM1B<bk%W39#|Mt
zKo)R(T^S9?o#vmt?2iX|`3^{~&zkN!-hI^D2fk<)c4m&)j^K<DX&)_>`<-VTjfUyZ
zrc@$*7`GkUcL{1B4`aH$uqlZ-OK~(p?&0mV<EfdAm^pRw2s@+Fu(g0tN}U+Tut=+;
zLs-^qs9w>21%DDG3ICDz{id?A^<l)ak^dsb(g$7>(AfDM>>pl-Shk!oR&h93b(I^I
z@=T+>i>vGMl@*?$C;Qu%uv_nI3wyLwdWiaXG#cqRmO-aecv7+fz{x9c=tAd<4;zSN
zsRP#oC_|A9ge=9qxS#BlD**#RyWShCO{^i;-Hy~dBqRz{y8sg!A!>&ni!WdOV&Cmk
z>djlPtXylQg}_@8O#|x`nb#>m#ui$)p)6iSNQ?YPCAPq~>u|vi>}y$`GaS^{jm~M>
z$o`w)*gcPmUWqPJ!VuUO5!VWq!aT_!y`k%V)@zjFM6(=)v}uT{tr!!z%d5h#)9Rx#
zSdmO-bc(e^sE@g0l>8oVf$W0&BhEd`$3a_>b#|QZ?DbR8+e9Ct1vmMQy{<uMCvc}p
z3+4~uLVJLB|3>JJ)2=GsSwa-XA1mmcC7@=>DB;eTe$aKs*AIMFdw9}kZyY9YD76vT
z{)Xw@(wU^tk5KT>TL<}mOoI`cHI>e3!yHeGorGB5hyt{hTWa|OP+mN^3ryB_!sG?m
z<-=u%x@#oVW(^1j32cR@l<572{jf{D_)Mi=jsa}Ga0HCYDd->7f5Egu-5Gpdai532
z#C5WnU}cg<Ra;W)kb&0pFXoT2pj`1w>7%%6laGyZe*4rONXDJpf#qH)p!O6ez^C*K
z+Ab3*dmIR<hM};04oa6r(%ZQ`_cH)}I{7-OTeh<Y$EB|+di)jZKdEVBNwQNvHERy@
z+aASbwMFfDz*FP!Kdn_Q&=FkQB){duB4gos$ATQ&M*TA)k=FBI`H+mf%Z$FKGZJ*!
z5XZsIQA<9LL9Pwjj8lvLh$#WHk|tGgKMtt_>I%<O>t2gQ($@6`%~V6f7oeT4doE^m
zICv^++iU~7ibK<Qm*$NY&sg=36CK<!_rAJPL;whxk)b|HG&gP%hgs`wgkUyTs{=+I
zFN}Gfc}L1T_o&mT!Y~8M5D9u7{d=hls#n_Nb?mpVZqqS)doBz!gLPCQkM9|^KOO-5
zk+c*DR$}q?)LxNT%`-h=mvn4!R%K5FSHr~v^2M`DjSvvsu+azj)pR{S%^4kvj>nh8
zy)5;!c|OK^lQx+_KugXoX_EFjkvNgGh)MVn=jxeU!bq#kIQO@E7nW})!@@v;VlJCT
zuG(iADte=fL8=5S9{7FF2`(*@hF15zaDuhK7Zs_V^<~3k_O8zkWA-Fu!#$P>h;sO=
zLoi$fs?@UJm{Nr!LwNbHnswGw)*ktY7`%Btiwf6Tf{&$9vQCAl&<nK=9!U&vy(3E^
z^fBT28L>>r!;q<FY2S|udky-zA6S}~srixeJ}j9MJWm4vffxc9q=%}P-h!Dq6k%jN
z*OOH5z<N=qJW~C{9y6qKN=Q5Gr|$(<lWE5u)^&PJ<bk7qRZe=nh`98c;kEBg6x76(
z^SZHJP7(eVUwpYu{j1_YspC|Znty0eV~hRPZI;s*Qzf0k^7hb^F?<vPR)J*SCon6p
zBzFYs@+`CSpyM6T5kTZyQTw*mOWQm>huJW`y{+Vhbt`+QVZAu?6d}XChjjp-{`$Tv
zA)`ZR0q2udx{swZA}~=VpXem#KR~Ky?{F)$Ai%W)8plU!Td0Fd1%Z}!j*QJd`}TNd
zMci0p{5acQmsXSidDxIiB`yhv;r*G`Z{qd7mmv^dyyZC+GFx&+t#epwQ1Kaw_5ve&
z&s!}NkS-XnP>Ua*S4?P9+V~&8Rp}daGB$(T2Tbxegu)eH=Sa+rgCZ<LqTZ41Y&`xw
z7n>auLYmag`k4{pbARHK-D|fw8LfgmxylkKl}ZMH?^PU`7ZY}Xi`41XL=n|#$q-df
z_<>mQ0`|v>a~fq>2yZ0)&Njpr?(vpak1nw!y^|L{)}=B`Tv7qCG}!QI98;piJp>3p
zY`xv)o@+J_+Ee9G90)bNv)KaLoBk1b=1;(|5x~(lYR%SA;jXI2UMZsYQHTk%VTeW8
zwj>i)CIVgMEPN{0_*7+C)jmcNhO(foQ$~NDfZOch7v5_a|M|w#Y14@IXQ895hSofb
zzE2Zf#)d9?c~UkrXwJQqDm0<SE-5e+T5XkRkt-}I14bvHk$zx)4ofuQU1Dwq8mh(b
zxuRAx9ub6kW0Af)#ETOM*p+tglIEt%u;DPoA2Z9KkGmK|@dx(r>#K#kH8nk08ZJvA
zH4ZmvV|k7r4U?s(4Ll~Pbw*1DVVdtv(LSE!L4xk(kxwu#&E}~=Z(xen)5>6mJ2s*C
zje2?PcSc_Kk)*MGSa)FX`OMw3`H}*`<Xjc)c|WZ{)3asg4r&+B&C+h91V66ZPB323
zZi86}y7JDuDQ5Yje<s9lg3f$4bp(S!MSWcltBX=*oWG<`LN%6%-XLzXnzI5+x1d*D
z>28e4rdJq&pLtdjO-@CQ_O1o*IIj*M81~c7!n+bNnrT^8Aa@;7%d0hJo7TWFd~61i
zKyT5Bjs&1TOu7r}TM!7TK;QN#QLKv~=<R7qZJr=&Jn-3jMNe?tiJuKbGX@h4`xt$E
z^~$(R>V*)+oxZJ7r!v&7zzY_nCCu!AD{9>^IE4ETF(X}WK&!=5!>-F&v7D>I&BLyh
zHeuogS8ncHVh#pn``RrBKrJ@kpXE|6ol*LFnV_`d4EjXMlVIo{fK;u$Y;1K+^PN@3
z3fhB$a6%}l!?q8PukOhZ+A`$m942&W>|;Dn+H{^^1Daa}mV9s`9eVJI!&ZwN*^u$X
z+h1}-TCzD4h2Ei(g&pwWcoXM4pD+2-V}=pGMm-Xa2CYc~1hdk<@!EW4e6bl!L;1c1
z$0pmaA>SoL{vXEP0;uY)Ya53HC`d?2mo$>nh{%!dknT=tq(hE$Nq2)ZC?TC9DcvdE
z(jbj~`{@0=_w#<={Ad0%j5Cb<YVWnyUU98!J#?sPaokE%hTM)t<@p^_Tjqd3+K5g%
zE$Z2B(T4_apB1l14+szkp0T+qP@BHD2Us3sGy5t!Gv8&&W}&L>Y#rRl)k{p$+X~+Z
z${Uq^ogG|@pYRguhzEY$1hPGEP8;xkUF*Y5);sYOBLww-?I^xAzQML!cZuS*cQs9<
zf5|-LdT)QRMG)cZg_N()a!(*F3<>1TXDzZeE>PyyXr&jQs0r+y_Yvx@j>%3I-htGX
zt*GCy1@|t15fcaN0NV{O8ONVRx-o%{7y@`FSSVV<^PLZIGYLYSC-5Fqv5QXHV6H5M
zl`p2aWu_W^PM2!&YOLN*f;?kiMDIj%-t{DwA#a`%FmTAeE$$Q;*wUG?PIl>^IC@K9
zoTDT7nBW1IrL4pr|Cv`M*}lz^NUtZ)+s;AsL7nvnb_QN#dLUgv2Qqu=kk@s%mL!O=
z8Q9qUV`WD~OTm}66qBjD8%JLsO19ygM*Q&ezqf7#@9KajcvNK<&?n%bzNLxpudQsv
zsyKVY`{Zx1Qw3&Qb0S7CCxb1}moRNFof1jQ3D;Uwie<E}$XbY3(v|>tG4nH5Vj6eT
zCH~iAW~3c`RNc-X!+R+jj+-BlIan`dOrk*2B9J}Yn?@G|#l{Q<%+YS2mz9^yDw{8k
zS%bI55+MY=7I7C^%ph;bf^EpeF3fR)(_^oB`yp9oIel8h^i*Ig{p;Ib-cNF~tiBFA
z+<ptf9-My>GVcIyISbEvbbChZOR>SwF%ne1hGs(X!keEu(E#@=jkhnZXeZ2eWi561
zH-NkcJZu4&OGfX;s)6Lp26#mZ6ylPnBXHI4jW!vsvyM({cMRz)s&W2m*l3yc2gjfm
zgva}PCwqWJ=tIdNZ{f{lQQq`QLGNXH;Xp1yV$3*@q?78-;jy=zu)3`37$UBRDEY1H
zi}>I)614qTKaWu8mL1?@c;f`vUNC_PM3KA3n>&>+g4Pw^?_aGVu3i(3%0fcueI>+y
zn!tT17fRH&of{rq%xzMmU(Bm$&ceAGFu)C%SPm~*FIt-O2vw|h%ZwRkB_QRJe#4Zl
zEH(PS&ju7>kJ*A$-<Cg9N^^O!wHNr5M{l@3<Ft9j!n6l1q94!`eh9P;>Vg3q6pM}O
z8-G;Um!i1iP|$wy4Dwh2&s#$$_RAi~b1|YJazAl=gPPXC`N)lKFig2kv+IKEw&juo
zJ$yHIX6ZbG+r;%Yy>5WBKYAxDf*rHifWG75JAfj1fEZbp0WXa@G{l>_uKQu`y0zV%
zzYe`-4Sfo4uKyeWeO+o`Lu31Btj>6Xo$EpC68qPPVBX(^?TO9xkYSSFx(M&<XqDjI
zOpi{VWP||dhB2hGYdMRd6tkfUm4!w65Hwrj-bD)n9X@B04*t`!pB;gUjS^XdF0l}C
zNcc28Mss`nS62n+yW(QtJe&f&)8FC{ZqWmXrQwtY9;zNyoqQa$!ZSsezpVcCm<lf(
zaHK?x{BB$PE-0a$SUT|0yR5t$K3(;D4i=9=A|7`HDZRgw1nn~tV$y6K(%EVd?YBzR
z-6TZiiISz&_IZF&E0TkJL5sMDrLgQeTt|k9dSEbVZ}w|efEggJ82#`#SY)yX(awHM
zN7?#HeNS09tQ;(Nfd0*jLrHPk(a5+N6bysJ9BNId-eCB?KUm_;UFHDqe*<ToqV$qX
zga%{r`}QdTun<ktPRKu~IIvXjk{&&Dh|b6e&iJlR!ms&`xbZFX=BNHpscdCn03>i`
z|5H4G7r^6@v0L5{Rv9UyI*#U(WrwuB!&JWO*4(D1s0js2&<z&e?Dm8km=8Eo;tw_(
zMubZ4inPhuJIb3T>mbN3*HgoI>KqYh$Av^D1<VXPc*;5TVf}xukjnN%!}d+r#aJ*W
z;m7DCKI^p~Dp}gSV}7%#CJo%^giqh4|C5ggksLiXr{PLahV%L2W2QILTz2-8O6x_w
z#B4<d)*Uj-=Rqr%U=c{+i-2Pp{BJiOt`rVxPOmDpq^LsKHnBpD%@y6)Gi2@iKS^ob
zNQ3q3ya~?1+kcLR0^XTBP)vB{b}(=dpFVpWn^#-Qo4%95X~D;2``D85lN1DxL7}YI
zL!h{d3eX2J#|LJRz*{E4^7YB7j#82`llnA|0vYP7e$<g^QYZ0(@7v%#Tt;>Xst(4-
z(o*y-6m$Zm&4H(Y#o+36%h`NuRAGaMxjX?{04EVM1L^P-PHB^p0ED+*YMd&CaIOR-
z7?o$AWWvIG#wROEv(K@lcf$LV27?906L#x7p8LoE7#%nWQJTdHN9>TzS)R?=y5Ik3
z3=twASHoy82CMf-it5@t1t5K#N_}r%zicAlI?eX7B5rP#-jOwnXksg1o(HGWhDf&5
z!wSI2rC;P~9@7qBkN_$k$D&;zp8%*6b$9G%uB5?k;YWXguGm5SDGIP@9hDk%r_Lx<
z`-Q_fp9h<#qq`CPX^Q!l0g@35OWEg1_YpJNH;yx(^veJNZ&9=WwXgNZ(W>RB+VQp#
zAw%QO3ZI~^5giTqJPYmjb57L(`lAYgQKMA6_G4Z#6AX5x^~3-2a8G90)f;7!7a*dq
zN=s|C1P#E7&!LJn^h1^dtrItzXzZ|L__N!`Wgqi<`7dl#+1<XD9zIH9O=v|7ut1YC
z#6c9zz7vgxqM>fzXG0WgVtnV<x<pMi3k+BhH{|hNLveA%n=AFXCD>^U)CBnqfls3M
z2A7c>wjDE0s{5?y{Ol28b1OiCVs3r1W`!eMi?AT>{)Gw|bFY8g9i6SNVa6$Vdiql)
zds62w-JOL?lY33EeRl)(D#xb!-Ag3LMEJofnw{3&KZR=<0v%~rM&p|p_=`&b+LJ2g
z$59Fr!bTv)EQ_hhXZ=0M)BP|;QX-OMGUqFiFSjZJpIDzKnkpA;&N{Q%`M<zcz5Fm7
z8i|2Sp&NLTr+Ww#dPd4>r|cWL5UL}QOWylYV*Z0V{Rec!NC=_yy<7nWk4jfSkz&#v
zVKuQ=ff{Yj!^0EFTMGlK9SBrg?Q$&RU!)S_Lx^+_`v#C%!de|f-Q*}YfRaL~c#HHu
znhb?#(H?;cm|{BrQ|)u$|G>RcKqT}9d%Ib)3}8&DLD(r~^e@+$6csbF!+F&;pV=U2
zxq&y27Cebd0&J~+=;Ru}D>TTJ{g)D3TKp;003?};1dC<`6)}EBV}CxyvMxOwye<ta
z3oYg!zMX&2Rr`vDfTj;qT##@mDF1%_ok1pn6xBSq?X0h`_P-^}lBjloH+W&c_<R#!
zR}K%pH{C}7UF#Tukl6}AoO02#8bLS04enlWTvhX5mEuy|OOW6I1%?EUPEeX8bvyeG
zTD%%ven<$-R%l|RPu~;GJ~gfc?ZqMBnK*%<s{0?~3Oi>w0@vQ7QP*>sL`1qLhPY7k
zdOAlmI7kOsYU?BRW+KJ%`P;YJR4^Mj&*{yb<-c4KMf4D7@L3#25H5)eJ5XiB2b?7k
zgwFltFaDsLUx2MI=qCu@0<PD!5Ys;x0R&htyfSQN{9lku=nZ!JU=s+<@_f<U_03bv
zIH(^OcBC<Z!+6N&=3LJ#L2Wg5`9n?+l)(z#L+gb0=39ByU-ZX+7FXP`PF#{qC<uE0
zkj<(ROJF_Polgy%e2`Umt$;fFK0iw5zb#}`Fbtd!ie*MSbfUuh^$2A4K!@NFti``T
zINE4E$S4w7mo1`Bp49uQ2B-=AkJRAFltA|HO#hw&RgbarZSd<*<f3d>RZvL007G~Y
z9F_jWdq?44z*{^fjL|Hwp4HIv3|F$v5!Ss3(Bvg>nD_&OMwNd-!)BsXGPB^lk}1TU
z;s^hK+z!7_nU~OV4}iC_AAr1l=~2EQ$XfohwMx9mx$%*!wSGIww34&B*_H4h?g^ag
zr6cJe{(pdl&{^z|SG-~Kkb)lG<6=l89Mt&#u#AC{bPzPYN_l~RL&!5UZ>j$OUJ<H?
zh^=b)r(M*;ar@e81?F|kT=(IILCO5@OSB`e{_fAUVH=qN97+F0L3c?4`w%3T*fz!J
zMJTNjx3Q;HBK}8>N2npn-%hNu=0^buA*d3z8Gd=^z#O*Dm}W7U$^(e!7w*F|btQ4o
z!rk;*IAII~c4S6<mGJJ6Shw4rbQT%Bg#})LI^046y9D2W$a^YW-j_#;!gp^#0bw3w
z42q+EOQQd#ffLxk+wA}vAA^+F1`y1=f2a*iVM(GN#d3+yPX%3wfv@ax6U2aOHKvrc
zTH=W|k!=AsbG3Q-`Jd&6qN8;#nSPb@sj35J=`Aoh6M%EX9GEnGW75oy;~O{`f#?cQ
zZiN??Kro85fsp*YF*@2&4ONlkyB_{kv+f-+!T$ce2$jj_@NJx>Re~a{&5;Ax9mfsG
za$yQb1j*iZ!{Z$Qw;VD9NmF<LFgR<K0MMauAIKJCVTCsO5yVnTZe<|GDgPCoomtmZ
z0QqR`38&ywr0~B>%MC#h$=<O9lvrZ-RFVN#R5*Jp(J#I)8*nr)28}JK4+HQImKh+?
zh9&^5*SMne8~<btQI-SAJEc{^5Ddr@m1-`jS8;zlEfg4p!f?+3RB%9L=aeIcAq%uI
zFEr#ti1Oe5&INTJK*nRPHK0lZ!XsWdzY0<>)??Tn?sEUj=N%%&4k>!!gj$Ky=1;in
zYX1@(L%C4#&k@E~BuH&PPrQ;<rlNTxcNrm?Op*zw^GSPJ6a`i%0YJ5Ni|wa8q_eG%
zm7)Op$YDIQ5Bl0h{la`%$nsCVU7Z%7l?U1ZBh&)Grk`k6^wFoWfa0Ksy%yY^VF1T~
zORJj&E9?_a2ni=atE*rs;pm)ZZ%O{#Uu^Fn!$=WA!4IA(O_Tftb(u&2375qn=A>2I
z0j5O>PSd9L>;CfDzuHuQ#!UhtFJl;2vnH7cxYaE7gfm)L18TC5n{|f^|Nh|=8vYuh
zITqZ;fw+6kwATl)X}s=|{nIK5fuCn+|8<_t(kXpFFoytwKFoRYl$$3_pH%v3M;5{J
z_wVkJ{mXbKm2CtO4}y*(hWql(+i*PqaJ9;YPbBoa<Y=lqFa<RsFNS|9MQEdKfth=5
zev+(ZVj+L|#=F98VZssr-Wf@|$436O^QNX%%_9w>CXoeVepOGno%+AKIf0B)bNJ5H
zAM14w>iH-Hr()SpxBWa9w9nr|=j2asYo09pI({f5@9{&ePJ!nf96-S8&9nh8^?%ME
z8yx7xdvA+%jVjmBPtRMBJbiZd_S?=7A`0lX997!hps!JG7RMY$WXGP4z|eUrWQb4!
zG!hEr=$!q3AK<UXl2EsDkb;eMqnjGkgRUpO<CsX&CU7Vg!<<L8XyA>JVBE*WLD|2X
zu!%~g>wikn|NnuBv#{GFp#|RfBOoU_F|K6)_1gDPsqBKINGR;?eX{55xO%-ZVsQAl
z<{nW_|Jr(Im`w6J&dVPI&9P85xc>b7;db&rn+ZBk#Cq&yt_en3P;4Y{gU#9<5jjZs
znfyI?d)FWt08ETqqzcS~j8FB@zY{0o5n)BXCIima#17S4*m=eN3z%EjSn^rc%jW(+
zU!ukHfLGLNdlC7sH)bZce7zMMOtfi4`Vjr;u=2wsYxS4M_gpe2+RNx(xaS%DgFJJ3
ztfa#hWL@}Q{sbLBo+VXm75Ns2+Rcv*#oNV9orT^r=YN1|AH=-Rcn-RxOtS!i)Xkw3
z`oD{rj{|*wZ;9Pb)4MG|NYdVcS^g2G_mIB@7xveT*002<_86%D13>c!l1uE(lnPe&
zA5nOc0sv@OLo?BkXWJ`NnY;}J#P5|m&O1iA7UtIG+Q31M0~RHs85LgF_~+zTdr4Jd
zFtu@S$$kN$*mjeWn?v;eRpdRa*m_$DH+*m^`hZh$KB+D5-xGTm0MSf4o^Ck<AX<AW
zW+G!Y?5V#<(+oDtG00_qeu`KPt$XSa90w?7i%2i5zh6%8_Owal)D$WU8h%gx<xiA9
zK6O)bu6h1fjcg^T${Hef>sk_*gD^B%gy|UwcCx=38}dn5R|_NEkA(_?8bBS5cW@$9
z04JI6HiCDgC8oEd@)tw(WIImyA4hCMfvWzk|3pOP$UbK=qbJ~<B>sBuY&S}=UN6E?
z34FyMDiP$nc@eo3WJ3l4fN%F&=3m{>OS2L=It#wf{M`B1H3l)`o8Ljc?}+S-vRFOH
zkVIZta*B*AhJ@Qm2gAt-|J|{XA>^aG+G-T?XQp3*T!R5(0W9gaROs1-#DzUU0iKwB
zFKQ&^jE$z2JJTE$OdVddRBLu+gH<tbfMgwUia!ZI4Z8>zd>24!MC#e2E(h7hCw<i~
z&$?|ipTT5BCKcdS<p;|wZRECbP(eKC9WHEPNaEJs-MC_&8RO<H{iXe%jkkOOTi;#U
zycm0+cyE;Sc5Hh^o#+c2u$UM)9BAr6`auOiJOa_8{TtVECq@F(JODrfylfR%_FtH?
zww2{{rEk4l_ZzGa)o$2E-71H|-#$Oh3ms>8pT_&KwY7Ct<-LO8K=_9F#U>mw)(zx=
z>(@JOMaaIiA9>WA^JRKvwYlPZnED?n1fW7@_Q|aIml%ZB(?>1x8jEK-rMC0=CP}|}
zw30ez6uTF%$AmZ8l5g6+ng6<ZyOS+R(LCyB?z&<EZoY{|1j)G4_yEJT6ozP_3k;<S
z?O&La!TmshHI(WWu0FIoEjt`<8LpeY#M*Vc-rLDr^g6h@$SQ<tl(JRte*CdF)%@bC
zN?(4P#LK#X55qE4Hy{AC_)Tv0FNY?h3FL8&Q^Z@l+K%++uTSpm7pCiaoF2B^EvH{O
zLt>Elo?9++B5549c-qR_>iOuMa-hUX1)AZ%IYqbzU0fl+qv7<_N(D^C|0v$KsP_6|
zbUirKr65lEFsgCuXH(vF{$_cfz0<*1v24^wAx7>SDLX%W3_Dki7mPrXQh@IF+e^;>
zqlWMud4Qwo*q2a$ceOAqoOY*`;~M#0w&bjP&J&zX;FW`*|I#)0qQXF1(3{-}t9Cy`
z;z~&_T2L_dbp6qwT9-d%V06^j&pzP)^Y$iBn}4H%(*yeH7tPYn$e!9a*3Vyh{@aK6
z^9c!Z2tRKCuUe@u^A)*ZT_R4%T&$f;E^Cv^uIqw&k7S<y)louE_X`5{Kg5fS@IJr4
zbPMr*(EVM~NxLfNeNR!@kt97SDlcRu_*k58nR?o^Fd2Hk8@H(iEf*Jqf@W>E1{Xek
z$2FPE3TJ@4m5~H_jvdW8Kx!FHT`^IW;rgs<ZI@J8k8i`jQA48Oz>5jy#DG0<2*8c~
zKGbvUK#Q=QS-51XRiF&4x9*!gNfGtQchSASo4fp2H8h<9Go}`=?uHk$xbv>sBoY>S
zKYU39-@1nl;+PD#96H=0Do72vpk1X#Ql2m2gguJ<K(W*^Go)nclcr`Y)C)Vg$?$-b
zvd!^F|8G?PPh+nW&MP{ef;({106cOvVL<~N7L#!<P(1E>fBMaVw(v#xwSYl<;2;ST
zj2=hnju$N{vNRn!gUDY)>QI~<ecRC5nz`u7x>!o*Q(F?l`gFho+-(eA(o8ID0bVsa
z+C-!W?DXBJ;$X||49agGO-9@z4)8(`ymAx@BT&zDstl~#3_wU|o!rs6gV%3K4VSvl
zgox7!b%Y*02~aw`BCq3|20Z;wzt{a`GCw$%s)Ng|eNKm(?$B(S$LIw=HmvPkRUf`x
zYvp5T6R`i%oRFw(b@9>*xxZV1cpeu|L%&2gs)^J=mgu?+`5U}xm_<KMLMHnbwaB;s
zFvH3b2U)dE99k8MJcc}y_#s(D=iI;(%2=p_?<VB6NO<~VlYPpgvSn&Mtzrws1^t<e
z?xkAdiKx9Wzt7OwYGWnvtCc3<PTt*h257hi_73!_{nUZ?s!=6D7ckw|1snLnOFUf0
zO4mIWJ@)lby$)38(SG(TNKp>nZtol`w(#!M<Th5sfE)dU-{?036~Z6Q19_j_I#em%
z7^p7<$@6DaE+K=%FNv;6g%lpM%c38eXY++#Sqe27!kJe%FIHA5Y(Gp+mD<UN7mblx
z?c0J=!3HfExzxrWBk0fJ2Gs$3So_GT2e2HxJi|rND-j#%d|v(NsB?!hUgj<ce`G}Q
z;GS*@`&TXL>|J=U_)8Ir@W&}piUw~&MPV<K%?MF88uQ$4&k+|I4~i7IR|Xs?7Eb#d
z<{8od$0?D4f`x#DxITvc4qXKP*#Lcn>8&#_>%<fAZmP(-NV-pA&;R1f6C|>wcik51
z9aReCm;~O<&CLP2?27g8fEjo$85;4<T=yG)fM|syX<Ce1eGXFFo2z?q?}&!x$KX9C
z5RirbE$n3vp;L1?@EIR`9umRH=)WA0OU>vg(ZwXO2F;CS^c*ytk~#2lKGf^`_U(E#
zE&0NHV^Gh)$$477Rj&JkV~9#bbtv^ae#pBAAxOQ?`zNSW#_#S@?^D(lmXwy3yyjQi
zG6+`#I5djPyZOoQKZS>@FFwALp1>BP@<q0`o_E<XH=leX6d)#VYuofuDAk#SWNshe
z3C`Fcj`Y!S*EKK@>d_3*#M)9T=|ku}(YPdxa8bx95p6W_f9ozr1$z<#1V%Ih8?m(u
zEd-5PiOb!z@YC&*LpzVpJ(ph!<O1?Ke0z6?_5pSA1TZ4pUeUX52YgOxWMlDmvBQCU
zt{MDiFBA+H+BQ$RDl}JOpHfpn#Hq7++QlKI=HgVN$f>S&CgDS8s95{~<4dnTqIUZG
zP1rx*e5tNViip<|@l74lW6I2;(suAm?bf-*XOEi#N9r-vLx%^rW+8s4pED5b7AY02
zy|}DjBFiX3ck9juCQY1Blkt+5Ervuz9<KSYep;H;_?=4ps;%#e(fWflJ-9g5!oY+O
z5eFL)=Mo>Wcu8?(BoGxp)h|?En}>np9oKV;;*pk`vCR9zO*eH34;on^)PT;N*00o<
zga;LV6*i0)FZ$Y+ON56CQjW*L&a7Y<m%;Zw?G+oQO`>7YLR-0FnoJ1v5m>m7xqTB#
zVo+r8b3#Y;GmTwf5)YP+CMV$Xz$H2ZStO3J-`KGF%jBmXk*()MYT)J|nTp$<z-v;a
z0l!Erdj$D|FS@+yekhb4LV>EsS2#p~ltwnFT9|#YjYYaW=iNqut~a7Ek&GGwl|z$4
z=y_vonurP(Cj<;ak-AF^s`kWzMI)^AY`&@KYVRE#vo!1|m%lT{I7xFWUUJX}`$mf$
zjiAuM@;U<S4*1zYle#O|%GJeTe1SNR7~a(`?7QiDiu8LqcRq|HEaKX%uky;baL87@
zZGA>&dG(=&5O`W=pdYe>uDOUS{K<Z(@yTExLt&+YI3d_a<P{FxbD5e4#P8#6Zs^8R
z4=nFj%DbW3kAJnb*J1^KtxABHfuyT-O7~j)&r&@Q1zX8MHW`NcIT9gv!Zr7#JbASJ
z_H@5^Zpz!)7SICOtX$IV4?a0*Adb|hjs|6s_Rw@!Ol|m*#mYl>`DRZ)jrN55p**JX
z(?c@JGK;MkxMji0KZLP<GGD#SXDVL0buURoRlSdhw!E7x87cB-v8i+*ui9o~UkTta
zK7uJB<+;meYttXr+iKY8+0F5ghRa>N8f$LNIinlr`|_=TDFFv;*9-9MNxnjo7*zZS
z=>E}YWIq9ZSpzR$fRL@7DCXbQ=!`)Sng0B-;ho++lTs!lTt*`<av`}6+NVy_oWbWL
zyv@TLcrA%vn|hwdC9X|ZGCqa?IYmrgpPil&&wd2q`Kn+^$bh(D6Qxf*Vh)iccfq$U
z)2aKIlan(TSqzs)5nQQ+FWWlt<yM9o9Vtzn8?uO4nofm|MCcg}9}mL73JZY`Ey*&*
zR6;&sP!ik=xVxHGm&XZVN3>eL9ExPYgSBsjQxf6y3*#09U_Q*$$E8@YN$KZhe<<{o
zGU?XzK1=^-6A-BmAYlx*NZBjlKpX?edKexw-Ua-4CRY#0G@0VM8W|v3c+vNUND>}|
zL5Wf8`=>iH_0ZCoxRPp(V|8205yotBq&UE<AS<>8u|c%3xA`~Dh3X9A#J}VczPux7
zdFT?&0U2vYOLM@iqee@{eNlN4`jcn=_;`*;M3G&4nlm(>zH-g~TD0lRy6#8z+ZnqZ
zJ^0q8`yp54DS=(25<=uYYHge!TVhsY<Bcz2{u##tZrGP<A6d(ZW;0*A4<BFwNT%r{
z$QE}|ea}aR%LYKE{kyf%BcOd!RIoYZ_gbO^h&a8W2+AWF_BYHpy#kX@RE>UQT!`=#
zxr$MVAYeXsSZ>E6KNI7JNF-5X6GFxd6_;AP_zoSPO2HLCl@sx<<<t6X+&;CE2!sN*
z@Y&l4ZAe1oxN3{5$wB%$(IGZ&KH;{#FT*SH`8jeTyTLC|Yc{4o{1A-!`n~g%Ec}yB
z;3B~HObs8_iQ|BoULW(i9gT_#Gu=;m3Y$3!YGSemxYicz#z6AQ*|r=)L>`I@lve<6
z#6CJbruf}o6QG8x#PUW>q4b{GDDviTR-4s0Jtf4->Gl;G+>rJ91Er-HQ5F9q{h%#U
z3Q1$D*;+M0+7Ps`RGSZm%_v}9#mMOa2?~LpBjZCdgqRcXVIS}`Tg`|il^iZRs|NeS
z2H%;m?m^K75%Olf7yIBiK*9oD@qq#KKm(Ll=zBhoDq&<N@FshyRyMeTQ-SnAyVko`
zPjRH4!HS)K$YgtEaQb+-jkUiQ4;{mfzQ=}X@sk=tjA}Deu>v@HrF8smf#*#IAoW&<
zPgLM9%ZaCi`o{c4BQu101gqyTDy!l9hGl5zfbKK@#mbz{yOO2=Jn-cm!U!b3vuG7d
zYAPyt<`|SO79uOTuU3XMeKr0rK#<?__F1J@#5hviutotFGfH9JTVUtD*#%)p;lp(A
z+TpAv_b6@Mbudb-xi*mr*!7#8He@2!PlX*<I|UEwzhcn)0FJmS9&R@#XV4+h<xRz@
z2tF|g92h42Oz@*n%&<F__-SPj(H?1!d}!!XPMXKaPGj(ak?4AAXfHn)g+afdadUIa
zWxe>G3Q~SHfUd6veQX`fM+zqUc7!*V<KO!283i5q>?-PP?Cmm+;%HRbIE39K)b-?u
z3?ds8ksebvT(cnK96X-yBsOHIHVgHYt*sQYppxPWdRWEfsDr&ZnMC_~_5SW;DR?;@
z@egog@A$Z#V#4vMxGQa_AGbrSxsC~|FbvdFz{H&@&_n{b7p%Zg8=8ADqA%S3*B$Wr
z#-30=!iKHmE_dc>V!p6D?|kq+g6Rn?-8d)QI+TPER>IKUxCFpNW<>PDQRg%%IT3cD
za5<7iUPrVGjW_|KFqiOpYb$Z2XD~ByPt{iqcNzTx^jy>|S3F_R@W=ggL`z`-bFn^9
zBk=_Oy3`}|K$~ql3ctaB0YBJCK$e~+Bd7fRRp~ME2N<(yu4%y^`S(NpzyP!;Gu#O-
zcW}{T1qSc4W<1lMi>V-wUP2-D)CJNKa0v&eSO{2z2zt?izjiwW$_7@-IVZpBpQkza
z`EgggK>g=8B~ZfmV|JV}t^TWQS3rM~-eQ@;{(1Jg6m$z=3stTQJiLl#q}q8n=1u}@
z`)T&;9y?OkGJ|TL!7A2%&{$SgTK<X};2}oZi5fxscu-K#w+c=5zpoSmt%BQJuU|Z#
zIE+}ZW6_?hw-YECb8gr5SEICv-u3HW_$X$Y-X8X(TpJ*l!2GP10p*A4S3~Z5e|!~i
zM7cs9z&@T6PhE;-uOnZ(9lkw&nw0HZcewb%Vq>qNbThU+EXGGt-}m+r9iJq57<3dZ
z8wLnLbkFQ2{_`mz&@{AOqy_T;Yp{sR<H)=R3zuiBh4;ufk7h42XU8jg?0h};Flnye
z^EWPy*6`Fs%135>%wfhUa)($h1HKjYTMljnxN}oh<^jqKT0tB@e?AZAgbXEvhHkLw
zaC$tj6f&e)dyf!t7@s40_@NK0vVuhz(Bjz&t)q1Ni5~67*ZS3~5Gw;~$2;UQ1geI+
zJz1)u_FmQ>7sijL+2(r(2!y9T>fHeBQ$AZ4L$LS3tDsm%iVzz-a7$t!NU=HUlGM?b
z5J|FU0mpAYU*y>~)zOgz+++VE4@&$HKmrE_k)iL~&ez(W@6E;p^*zp#`=-R{q>%)6
zy$^&^=>s0qMdI0FAoSl6_&lwY`0G8zMDxR`1vO`xiONRc6Tr_A1eij`vkcG*&N~8N
z|M{)0i}&SI$(lZ3(A_1%?X)yK@Pef?eIoUc!(_8%gV}yN4b`<o)lIejyp7$u`)i-U
zjVuM>Nr!<f;kSSz{^oq&>(|v*%geEKhuOBbZ@;;>!taH~0GwL5scS{Wk3l$C%J6dI
z<)v6Su|8`bEu?U?#<@`$|0}Y6H0@LBHV$TMpd3+0?pIiIm%ybAPE7>J3BnH(ph8M4
z5K>p0%d3drNvF{>zpu(xEFQjib7Uc@S8F|A;_~xH*kt}3*dO>OQoump85zKOhZC|Z
zkUzUxkRQ}|5A@p@NJ{!l@pL<Uk<Jg6n%uvx-e2-=zZR?-j-lJt{Qg(DXoK28lRqfg
zPJ9x@x(YSQhJn2{6^BCjndP3)0!^2I*!&u>isT+EOgmq(p^;Vl>$8X8ZqHV4fl@a`
zA6@XRQ~~@*!Bqg4txzIh8X$*>EFXzJj7q<d#p?gOZ8LbzBfj%0@~<w@rnO%luZcFu
zrly<HjBbMq!D)k_fF!O3mdEz7!*2BWubt02c0y~Ud!Cb(K9Z><W3PMF@;=q_CfR6@
zC3dU*b;`kYxKztmx2MAwIv-U0bMHRFw;_}cTaP716Pu(SEJ6<I-eO&8PG!#Po{t(?
z?wCfyH>4MCmP@y#L1)#6Le)OQ=OQj2T;VneZkA{r_9}a@$e+FG3VYNXhh@(Mf(|N(
z1Qeo~g$(>V2%ctz9pcS%1KwTd03o-ceZT7s+7CYkr`not^8<en5Y%(=F#HkWXd(z#
z;(%cpb1hpP4*Ps_MCZ|quO5_huZa$uB{F!ef9_5K_|0e8mT<T!4glvratM3{A3zPq
zhvZ$He+}d={rY|b9#L=9<LTXjVyPkj&wfR;pRo2fV(m7XC<?7*Hhk7XkkqI5-~Vnm
z8BwJ5*+;o)f1f@g9h<347A_vq2vZi|%d$0*Lp(MamyK&ax`M}mk1a_;Xmr~gOSx~h
z-@fVCSm@@S<v+A&)Dj%0D7~0u`(m4*Te!K5+$Ala^Kk3E<y8Bt4(JH*h}u!55Prn{
zHS>S}1&&u%Z0r3uhYd7CUHoxP#p>F=>ug`f24&n&U((63S}m)-`Gx~C#RYr3+5CFq
zuMWWf#TJC1YD77Adyp!ZTbev?Nts5_dGyH=bF9F_Ur5-MCg~;kt9)uIMBOK2yOMvl
z=<h~lqd-FDfurCWXKB&gY7}tFurk6lN%Ptdr%}~Hkwv3}meyaTf=LuP7GyX08=ODI
zz}NZj50nhGevOaXhiiKg!<;6R^>UUFArB@>ET<ROLrgNt3ijC=R3&uFxk?@32jxFk
zp<p}w{PA=+#;n~V>Pud+{J~sPpy+r3x5J{Lnlkc}RIr8OidhkVl>;n1HtYdChl^cC
z7l)#NOIX+QCJMHRBDv$#Ml2qV*P-@geECW(MdaYmWIzFhDd?NRKgYzMORcF5K?TJ^
zqiwx@zP5rUU+V*pZ7yu*J#t6d!Grm5ZD2=3gn=Es9FAeZ|6>OJUPj|b#`B*NN)unb
zl&Cn;@5_|=osa`xhf!NlLg7%;{Xj8U24oHc9;7<FGK~c>BZ2|es_{2O!Bum`vgKYP
z_?v)yA;p%>kmfvO?#!W5@{9iX8%cK8<_fQ%@b91Iz*mN#f#)a71q@)r_;HtsLN!w!
z@p&1eNOr>)44MyCtG`kA^zIr_DxdhBm0=?<sI2fx>!vPFhJ*k208dX!Y6E!<O+2DS
z27L(sRE25!-}BoQ89N>SOejmX%y&=%OOqOQuNwo`tnv%XpU@{1ekD<TBOXkKx}DGe
zQjGjYBVUG^QRlB%zmRXATDbmn=EVBtCwavTUjMJLg#K8?wb2Cd)KPFPA$jF9Y*-jQ
zb`}lw8$%QEx6!7}@aGaCI{%*g^d>5h4V`QWv7Zo$8M~1MFGoQfj5MM3lf}^e9ttQG
zD(GHq)Cgkn#wYoC!nYdsglhS~fHXXGh4X#C`ftzrxGwReQ3@A$vH}8JB09e^HnHp~
zw4*`4HENp#)g4I@Q<4@F(VZsssK0uELc9D+-|aU+#c^{Q=jdw%L+=hJ$d>%8N8;J9
zP~Q~ci<%YwSuc0wld$rBS%+6BjY&dTvw^Z>b<L+A7vW!>U4gvkSQ5U{!J8@hn%?tD
z$KQxQVDu~Bd(uov!4hilDok(>$*jP%5H&u_@AdLY8Z|mF0R+u<4*%f-0KYzogw|j4
zsn@1$Z`hL&Brc=bmvyt5h*1F;l^-7e4oTI2bOGcQ;{D2h{ftAA!`QNT`H8J1=!}H3
zXlwZ(qw!OzL7nydw*(!H&FT0_CkBp9k49F^l8@jU(%};4;cA-p?|oDsB2LwE5aE5j
zinJbBewq|{t$Q<fuI_V|JxaT%d$XB`PGMy|9dD4PAD+;TYAF6v5Sva6j6}1<D=SG?
z$CUZkBp8cPMZ7g<54~j}^}3v4R=9k=dy&^d$*NoDa2(Wyc|&Ts`{5-+hTFu|RgG1R
z4Ks@@Ge{}Xf|F!b5lZn_kzn=MhV}zyX-P>=cq|eh1A81(d}klS?fDgMMR|hIF9G|&
zt1p`mLp(lOX*eG?d+lCKm?+e}|Nd)Q;P+UiPmjqpCD+~E)(KBVMoOo;X4t!-w45hl
zKp8*=Dn2DPgIdWPqOvu$ahE{%aD1n~Dem47Qg+E7h4Dr`I>I-ZqxjuyHl4WCcGBda
zOSylueJ6hyMZ&RLK@t4e|6+fMaB+|+Qs%<>KF7?s08efQc(r2&5R3e=129g!Wx+51
z#9-x*t=}&WdMT}boXq&ER=2>NeCqUe&G%PL*PK#*T|W6F@E}42;A*TGJ%9&0!7EBr
z3C7{!+4$UP!&r!dw%t@&=?G3jfYJ(G(Y)B7zW{}j-(b$nOry(djKT0~X+Y~Go5(U-
z??{8;T;&Wn82}v5h*ypA3NS3GB)3*EWoerOKkksi{TNNIrIZY(7wYG*ZPb#+H#PU!
zS;a)fBq+9gu_~c2U0AWNS%ax=F8l#lj`$2ek?j5#D4bAaWBK-r-GPfVTSSTA^8z>H
z3b^G&7%UEbgRBo|@<5}!Er^j90Br@p7*eEsoG3im{qdvxw$Q1%70&Vo`hHU79Wl~)
zUaO0Wo~rYCo$ocQhA~$aC*)wro0)jn+S*<meE;gIUannZHD18M(0>NtXAcGUDp=47
zYiF*1{s4n5AHS{!<8VQr{51d>R`0BCBpGD#*;6>b0gM_Mj@`uSX8nn*y*t2Jl~3m%
zCA|W09WXDDiB0g$HW+^!?|XNBRnCG3fJ59*Qab=5??WKV>tan59LCIAGUv-=-|uO{
zPUzF@WmHt0YCxR<L!@6ns)1fObO9~fciu_WBqzvXE{(_rl4Faem7}dLsE`e2g?vOa
z0Ni*s$Q%%>U$<9_A|FG~_ve5AX#2%XT@7+}PgL6CJIDEbZ!bX{X<8J>d;=P8=K<fu
zc;d@(*B?{+gM3SJUVH<4-<vL`ThD7aEJkz1uP{9ZlAnUcpGv+!E`rhRB%^m)+aNc6
z3kdrn=XskqtjNlr`)n_@{f5sc+C01c99lsmwh3Aj#|XkrJB~o>>0`WdSp!!>hFgQ*
z*BY{Uxhp0+E<dKUatjK&xmX#z4Qg#tiWfM>#||>gFTofkDON)PkV;ccV$;)ZEWJg>
z-Tq#4fg;Hx96sCXbyM1JAWemcsRewqhmi8ym4Q5QHMnaJqsB3WB_ca4+MrSR0-sI0
zr1kA@hSyu_pY-)KG=h_*buIxQOO&;+B|(K=C<vz-osi8NuyRyeA->&&Gm6!&170=;
zxnyX+RLy6U-cIx|;oAJB{65Kano+I`mku<Bc3S5Y)zD1s%wFSRG65&rs#$g}T2%30
z+j*NV3C%}dX*GTuDn`|{?#ITeci$42nU)><pX;^@duNY*sf*^tBlI2UFwT^)hmTtI
zC6-<Q1AuVbap)7AteT`|YF`D;Dd&QCBTn(^Rh`0jcm31t4oMP{G=H(VlP5tjww01D
zz_f>nfw)-85FFS5J6+HEE-Xzbfv1Om76eym`GW`JvaG{ygA)U_TiK1(+z;7}W#4xu
z1~|?S%G$1!lzx;M#Bj!rX3@rSc9NkX*I}g$9Z_H%ZqyaY7Fwc75h~0VyX1IRWRHGJ
zZ=E5D(VxU;zZL$mn^h4XIs<vAMcwf$+2p;|Bh{IAW7N@fFsvH#kL1pJO9wtozdPrn
zoS(l+e557^x4^W1KZ$|MU>O6=$sDhndHJ3XI1=wSHJpzDmk3WkN=xU6xx+9)0FKcl
zU^Xn{33MJ4X~MAw1e*-ifb8*Lp0@rP5R68?xdw`3H&gLAHpR2AWM^W4qfpJ>LX$tX
zyJxYaK3@h<KsK)eZjXqY33k?(WG=~ZTG6MMhGQS3;~A_Q^97y(@<(}uyi%_FxxshZ
zscIvvLPCxS3SxY+BPu_%6-tj6S=CfQ9x5RChjt??eU2|f7U%4FYii~C)z#}0gK(Tw
zqaOVE9Hd07!zb_qoCkbasreHgY`8<zn~3nVUF#zX-QuG<ijJ@8r7R2L(gm*m#x_=i
zwjUhCV#N>U=wyX<LVSUVncbyc0n-zM`gN^fjqt#e=VwyeZ5QOt=vL;AzKqPOrI`>%
z6ShhwdGZWR$s|Sj2Fu-~I{yilT&@RAiY|y*Cr!D&@p@-F3<+$tcYa%Y;zmx&R^KJv
zkEK>@8zhhtcn5TyDFP7?vQ}#!5%bxl-~W306m(zFG{0Qvw*+}ZWQJf~ol2$LCBXWv
zdR+K$5esdi$%jMpxAzwm!hpKxLY5;`XoiI`>ta1~@29~+An!UK%6mD^hD#UZR04N-
z{UvanA6mlw2P#N{yx-4!(CQKviTLH~)VE(E!Ptfo1javTkROEwN@+9~#4#uiRWz|f
z3jD;tSSZfx7SOJ}eVrT5M!lEVEs)iBMoO{+Fu7~rJr_W706vJS_H3wIdvnsJPdKIa
zSe+0zZ-CW_zvfv7t{da}@$C7|c+UgqBA7<YIA7s&;<Im8bPgt6&B^)-B!9`fUmAXm
z;xdEvPz<|~-zwA=K3Mq5@OD?DjgzuTFkp0772~x>>fL1aeo`@7DtyY9%4y#fAVJfQ
zI4;<iO{t{wyUuuiF1vY?(Xv`2{)4dcVWLhytlf*`{L<_r+PsNKA>!6I`3>>xRS@oI
zEX4O2!exLF0r8AgP%p>J$A1GOl3F%8&(cuiHSvSGJA%|i%s37V;t2F46ZhyZ$Q#$@
zvVdkr+oJ~i0fB+zX3XmD`kSo8Z%6TnlH51X-|om7aPAN_#^baHK-U;+$&<g*&AR)w
z41SKHb%@)1vp$x}^Sb#Z?pgoWm<H#qScxparSi6}=@O<T5+S{GyU9n~YR1V_;H%tq
zIV{8iSP*S$&N878OWCQ4Y}VQP{bN@zi5z+nRN7R9ZMWTj1@1p@-LCW~-3k<t`4e%1
zO8T-Y{kK1+beF-ej;lZ0%;cpZ$JTf{;DKe$u`+RglG97SWqF^ECftyfKJfrmS>pbx
z($9}yIcz$Ue?UbF$}#fR#OG>R=wWz|#3RF;k2lLVVzPOJu^FRw8NCBqY&W`MO^p33
zpX28e%*&0~-$TSergXPNa<Q*p3F2UIz6QiAMp;`G0~Rk%iSgQ9abuSt#d!2_Liu{f
zfDAZv)^7t*W_$KLQTdYBfdBma^uC+)kw^PH*(Rf2DDo}$a?0RqtOvj68h;obiL9il
zhXXNHgWJn6dKJ+>A6AP4^`$b=^{86ISt&z(!Yy4SP>!d<lK88euN6lo?|B*jX?u8>
zm;p_#eZvNUdTuLdl%B$8PW-xNBx<7RCbJ?H1!#{{*D)Ta_X&f+zDz-sg0Je&l2!y>
zJr9B+!DpRfp;TN2jE1>};0&3jS4QA(?7g-WK%UXqDj<g(+<m@E>=OgU(09Q&@Ww5`
zUP(Pk6U^Xj)gQ#f>ve8JiGREf=Mm~NO^se{K5cHFVyG5KIaDOzRhX&viUmDiV@HXF
z9t7<STrMe<gi6#y$Uzsxo4M0iqThz+)aKRiKyY_jI&WQ$M#G@gt>#&}p$3l!M1ZHQ
zvEA8c^T%*S`rU{W6W}Ny6H$UJ5$dCOh95R?T2`%bme#K7=~sM3ByEAI#+1bXa_p{9
zibhKS5qyPFxD5yuB8MK&or4xf39sRFfw)uiP`*sQLqk&<kT3Nqp^lu-M=L){MDJ2h
z`$G=>Oz-Q|SOHCqQZnGt!YqlZE@m8lWz>-)gq%uc8gA5$v{#-JfOd<e=2K6ZK!}dl
zcDup;wO<N8OMU5js*XCvSHN{oQ}+OH`=xFGBy~hE731Q_L(0+N6;@}v(;<W_-5fo5
zXRhZOF>Z?NNdp}MX+PKJY@K7;Wd?-m9?qRwdt|*MqwCt?6{~iXLvc)yZ|a1B$ehgl
zB`>H1gFI#abhN(cy`N+YEh-lvkEU*`)8O>u+Y>U24GgA<Qk<Q4t0$MQ6gfEEcniqQ
zii!s92g0U4(~X-qX3ZYr=E~_-qTJ<rIsVpn?0OX9K#;U*>uREDx2yIb)<HJf+KRMO
z8UP;Utoki_Z#xKE4NH@VC$?T(2rNa-xvo@&x$5Fs-L^};SQ}VWW+`(?;&*G&3_9Rk
zaLTmmM@ZTKM8K+T`YLgY20)-WRs3b#J{^MA76U-kbz~Afr&>CU|EkoqH|NulNqWu)
zyRK*`qvtTWqus*$nriY2a~3P#Ft>vcbBzjppb3+p9lT!KLVXPv=7dYc<vw7R_X2o%
z%L)Q{_anPg`KDX1w%<vn&haDw65k7Q36?w!QQRUD!Y4WH%K>S<9u)!K8%1~z^K0;|
zIBcHZaO-&yvDTobc9Gsre)4@ZA3bHK$xG^(0m!%u9)c0vpmESD@_U*MBG)%OJwolt
z5`=r?l|4oY&Eqc~XdBX)?E!c<Ax-&;T@9IK_HTL8Y8e8``ab0Y2n;6ngkTq!hDImP
zF*GZE*;MZO)9-8cG|%Ui>B9k;3@j;<PsCp8BtMIpPttV?C002qd=yBMH^(FdfC*el
zL(Ps0M`IU@)=@^c&ZU8Wq(2uf{by%=?l>Vdu*%@5yM^N<lUYeG;cLUw`@PF~*A$aE
zKEZMKGCuoUobMb86H4ac8LANFkc^hLCMY8#DGxSx41h6-i&%8j<9Z>es%H;9_d3wo
zG0-g(3ZHQ}wvW9~P*DG!T4Pgf`ufFPh1Og|0AArfiduKL&S!H7(f6Sh#o|DLlO7ZY
z-mzyjfwk)uM_?A$N}t4Mg4i$SZdf<R&G9R!xqCO_1r#3ZG3uF0))Ws+KZe&`!N;cc
zkJS8BKz2%|v<uu1Z&%@~GG=Q%%{UBr<dOU3*BHgmL00<Sym7SlOn%4Qge{YE(0+4r
z`wr@}?ndh=Y@@Q1jCaInxfh{>|GCL~klogpfAhInCJ4V5fj4t1Q5Xh<V+W1OGxWcL
zSd}839=qQ^(%<gPw5~n9i;6)|P%OV}_^7e-t)<>}XKLd?CX}1@glGSk1aTwPXCm2!
zD;qj3mw{dN_b;ilkYKD_8i?sR<GtldD|K%?u|=Df-=UXL(}00${KPd8{B@FOdx?96
zcsXb~+8@4|ybI};7}5h{v%r|1!X{TM4h*FpSvZe;z>q5!4Fh6C#sM3aqH0)n@6T9i
zG)2SnheToDPqlakaqYBSSHieb#{IPP$bx9I-GTpp1eg*Q`9Weni%j$Q=$+!b4A}_n
zUx1D1un=?0y8K%Y%uoC!o_Rz^gc1Jd)vUFn$1#}ym71Z_LayDLJGs&DC47IC=R?`j
zwsWV9Btbs4#$kHYdN)Y=dt1#I@=<X+Nj|w_5l1iQ0Ud-FpMn3ZxuT!QsrjY$TD+m_
z@QLv(gB=)|9+&aikQ7Bn?+rcg<&g9uq1*4{sJEZjzjnsjC?JR!&buoIfpFRJwH9oE
zm8@b@$W?})0>?=m!?ydCraqZWgcMgHUt$x2L_1AX%b+@5(d)Sj<92vEh;morS5|I^
z`in<bWxYJ;E$UXd-U{v>22!($)L(^!Z&i<){VnbzJBbdHuHXe$6UMGr^v<3uo9qJi
zBD>Wk|4P^`protdNu5^9T}AaKLlN?q&skeT?!J4?wv;04Jk$MYb-5qz<A6Hd9%DS*
z*P%w_<|se37t{8sa&dsyE|`!PdV0w}=rJ<QzJ5??#N)tQC6;)k+SI&TQhKXC1L#_l
zHY$SE8Lc{uXA7SWyJ?(g7Yn#DPkY-(>(4mNPO>C{p{w?HY;wIuy_s>TsM8Otsh`#O
z2@2EH9XY(G6n+ugM;A7?k^4O#Jz3B-H(L}j!q{}f!CH{mX-0Wq+9{2XN7Tq}v<9V7
zG2_{zNg1r1Iru2Nk2|+hXCHMNaKFo*xm+4{*%-3P-8qGRx&%>r?Y0|*T);5BJGP&~
zPz6InO~FMnp2O&CW|+w;GVjkH2L@fjJ+~^fr()UrKt1M%l;Aj+&mw=56c;~d|0XGz
z^Ie+wkrxPq6Hzl77fDIb?vt1Je-9PH6E0+aI!ucrF;;cSWskVWwlRW2?y6eE{k116
z;<_vN%KrDc{S>?8_n@X%fj%qt>rY=I<9B#XmZ<5o;11hdvF?YZ^JWF37WeFrVJR4@
z?`t0(Kx)o!DBK$`XK6XoG<fOCF|x4rKlr$6zUw!6AL89LO75#VQU@Q*Qlt6dE@jxe
zI~9TxrK;KaT4av%tJ{xWCx@WC{o}hJ6e(vSo=jH*6S9WV{%_QVxk>r8t`xY7(<j$p
zp3kS0$3JznC>gYvAy=SAFcg($4RYP<P{V;0lWUhl$-uxLgquq8;^>kHKR04)^5s7`
zw9XcY?ezsLKa~&v@Z~fJ+xQ`Ehn?e83gZL9jjC4sFD5c4Kc@|{1l>Lozc0w(wu(jh
zQDvB{v-v`3BVJ|TzAWPWTG+{@o=QfXC4(?y2&X%hKw9vnMd#xi6Y&WvDRcuinS`W%
z--BFVj~<1fpj6|Z?Dyw`YC5<{{g1``99OQyl4r|D?qrAHT%G$h(~UA1r4}g?ca1bc
zW$$Q6kocc?%vPDfnWo&sl^yyYnY)*|TTQLPXCZGYqtbh@v$$YgJX(u^p&5Q~N>=p1
zdfNzyFO%iRmfu;-DLWI+ad&iju#0^#0BI##*q%HS&V2|!O#UntkLXK-@sATH^3e4!
z!w0`2k*H_kB|00B-tD3<I~S+gLH2ap_xYkcNZMG1a#q@}GwaK{QxV4N+lkgQqj{SC
zDz26?J_yZ_7g53}6=5?&D6(EWne7_^O33)by3Bs7R1t(UH!Sun@&J?l;IxMTD<!mQ
z@nZk;ICZI}Bg4r9%sg}*oZS>L9GXb%;Lm<BU|579JL7^s&f!y;%u}ltb!%f#CheSk
z0fy)LqTkTGcy;@+$g(-cX1ohl7ym&<j6?Ju`u-a_`&~G5dZ{OnSYmR4dO0+VbI#9S
zX%G(I9fXjXYdMufr7EPn19P<IewZsbe0&wayWt!g53+wb4=4<4FP$`aZ!~D$d{z6x
zn(}2xZEqz)ht#LP`eCLF2OGOwwf9l<b+ct0+j2XL4k9O|`!ZtDiBfkdqw*+dzOUE8
zX{jZhid-v@%h1svz_j_LKM;LWmn*EysgLXg$}Q>4PZK~wy%z>e!qTJ9I?1=oXgnsr
z7!8c#=H^{j(gKp$p5!;S4u)vB^SPz}^pnJ~C=fJM)?Jb4ETa;CIja}&AU1i%P`Kef
zAIsB*&;D$ydt^zos%S~gxs5ob1+dY?J)2uN1D&U$k0jL!o5V)rR4#^7()&FQ3N|Zb
z#6ENrO~J4#Y9sml$OQ32BczT@LX)1yI|aGjqgy#|3dtYN{xpXZw@R9l9}n4e&tOY1
zRY$6qO#M8`%qD<+dC~ss?#3UzFS4TN`P9Oz6ObxZRBM}p?B0R;WKYrornywb8{R^_
zymF=p$4Axz&ylYHVdf5f&g5w6Wp2!>5v{Yftb2$b=6Mmd*dVUuM9naYOG-Fk#6AH{
zuxE1IM}UG8He;TPm{99urcMB3DpV*2`P#kD-z&aV5fPF4ZSGE+<S>VSC<AHT|AG`z
zF+<3$1$6~C8(Y7pO^)K(3lAMjX{o8?h~PoZ0y8B}5rS`?q^u>`#XPM=!Evk=4Z`?>
zBu$?=0~psxDXV4!Aum5@J#~s6FCzK;;Fpj_*ZLX}t!t9EerMBMzxHxQET}u1^O+2P
zk$NVwTY*ZfwQ-dQy@ikMkfNCiG4@~-!?8lfb*>r$&P~KAwr~!UcWDS0L09;F(w7SB
ztPhQ&buNSTx}K8hernwzEYC4#+N>Ps?xlN($}v-(%d^ntN=zb(m6)CKo&8(=t$3lO
zNk^~z-B?+TAHT&L!w=MmTLDR;GcX<E^{1Jx+|_z>qR6@Rj*+!*c5x}(8w<SG-5HR1
zZ!4oIta|pNE(5*_6_u$hW~6N#3BU=O+)+Dx4OO=u2V$nnopG^$TLKdS60LR#9}Suh
zEoKW_9+8=6m1n|-Ok+WvP`wu~F-}*<1wBqodw$f!7qI{=Xe5S2h?7-py=h*Bf>y9i
zs{tq>r6BG~{jWqW59nc0cwttx@55u#cX~QK@M&|j+smex_8q8kiQ%VW7l%&sO<I4Z
zmYj=?sxX>=jMuK)NZr*Cw(tNYBJh5-9hd5aD%$Y0{C)^oZg{A^s|Hst_x_56rPD&r
zrkn&NwVwwLY9!%kdj1r@F|Lak;BY+^rs1p%i{VTkAr4P97C-KeB>hg&$vPx45l<N*
zM|H;TdyM`d`3-H>W4w1ioRW07hY-71QM4ub-3=0<eR;z0!DFBRi8r^OORmA&v(k7}
zt<7sa7NSOWlGrCmk|5hzy%iA3HN;QTe8wF|`myZ%)<Kc|_V&Q05P{>^Mu&<!$$_Rv
z{nn{3#NFv7_0PcZ7u4#<`#NuYtc_lzu<X~4*hRcVI>n%)ReY4$FGeC~D=F~kWqU`|
zXjUyzy(vj@b%-PXIC*^ZQnT!xdgpx!i7+T=*+3w~E=UEKBz~!E6Wg92iYWsZ7$38|
z?B~M!_3=|VaZxAZQ3k8%@nA6ap)wIV>gNtiD?Orp%hhz0fkAwnsxM7({ln&tdo{gF
zKr)i$$|fq{{>=A|DVt3<RqXIEA1;Oo5+^p*!fmqje0~?b3{U@%r~2Cx+EAqx{aPI`
zi3Zm26sJgk29N)V=zaQD16~V}er3NYFto^)PX1auwMcIOb^5F-kVvyW{L6C3QoqEk
zI)57Ij7)}kbaLoOUS@sObR>Dq-~938&^;8R#_B?hg?IN(S4kzgqL4)_#_culRYoe#
z=q&)a@eiwr01PjK7=QXLE7V^)6d}tQn=zf>lpVGR>Y)Z)&*{Qs$BjmiiWNF5^Yr_S
zD`LwN8_KAkde3dh8agRVyq~yp8n-OFN0rsT=l%%1fMr2Lc*<aq?#4gd?lgJbI3lo3
zhDD%Y1F3as(?WVZ8J}Ik%^E=as4|h~ejf!3cXG8;y8o)36+~-=&In4(C!u*oZ4sHm
zi>Zsqmk)-*KTR~#xa__Dcz1cKGVFi#TwCH!f#QZvrL9_{Iq0wsz%G7$D%Mlcc@L>I
z)4pG3$4fdI_`JeE%dXbfK-?S?2E%&U0=>6mmaWv#OPbhLB^a}>-t|KI_7N2s$!OpJ
z^o=rlA@j=;Mt$8HcXp;wZV_=B8I4c+^2Ddp$~a3*@69G~#z>4L^dM0U;Xz_QBT4zN
zx};n>KXgq|*IAD6S>&SNGyU+Drs`7m?EF8By#-X&Tl6gq2uLYi0)n*C4FXC@NJvR{
z3erfoNH-{*N-EvWkxuFE?nXM^KA`vB_r3pn<GbSwhGX0l`?vSnYp=c5Tyy^X`eU7u
zmAGLEuWk5iN5Epnd*`Bz5-qYw2&Y=Ba2L(}9;p6DO=+uKhj@qamYH5RYC!uMGl9lC
zwih-q%~$@Ehb2~oL6{Jm@816EM~xWb`dUk`O1AWR=u?lxo4k${u1eYA@HF=OgujZh
zQ*x5k2I#gjfAlhG^Ib=WYd5hoXZARWd$H<W#@9Y4hTO#vMf_avImVbP!4{jhjnOny
z168bQU|M*8D`cK=DjSYU%@al#f_57Ghy#Ut1{3-9fru{+Nw%sH;R(m29!qPf*Hq!c
zq6iZ~Qxrb^(Nok(#cCVmM7~o4d#{=5_nSoT<L@n=HR*crMqBb!Hm7<DFZQ;rzNw5v
zlxsM3U;kV$g^pi{&p`!Z8GE=(mPW*j{I%W7fC_w%1k?8Abq<g8?E(&uYRCPy?wK5^
zcn7yM`U{Ot7))Av*ozRzE}RBS`Px3Xeq95WS_OC9v9Omff8VT*ldkr!WBNVbf3s+5
zlC!WF^f;m7JSxdj{n?28^^NU3df`;h^$Z|%0zx96v=!3E&)vR6KSq5g7a)Q#sksD?
z?0zPO(lp|}?RS=Ks3;9j&#3X@S-!f;Ucew$6_%2e^r2IedHaSorSyiT2=zi-y}YI2
zFTwt_%2NUZ##T)-S^5Ptvobscu>IVBWd@n4eM9q_!n7t*YW~$nMKnX+LxFtiGRMwS
zxzlqmtWiW=v{Q`nXG_$>%&>W~r~TRK6o!@QsE6SfdEJ~YMcv5BU-o#jhQnU3h<>Pu
zN2(m<3Kl)?E)T;=+tlryF&k5!tdT_pH)?A#h_XocTtaZ&;g_a*mdLsH=pN3FtNl)!
zv$zY)1h)Yr2fX8&7KeULu2-t9#+9Da_oK4;^zYgS{far>A>tID3xno|8k4>I8dtYs
zB1F{Q5<iVPj=W!Oa;U(@mfbnjsQYkdZLfHH9c?3~m2EPhDNgyFx07L0BASVnp)fsb
z3w!MN3L3v}#el^i37+h86Znt6A#4OSn$8Br+X`Puqh!z3#!8YZD1RrAz8S{y+8_fU
z7m~wlIe&p*q}++}Km<(|R`EZO%jN`uY@n_~Evt#VSWYGX{G#Ne^a-op<kqv#^#&8p
zi;jokcHpsJ0U(}+NTum5;vZCkpf55axOUBJRsRF8=`{3CosD=b>YtkLQT_w8H@c5H
znNjD`%@$*G>1zNwADW@ipsk_zbKoogyfB#Ha##u6f{HmFY`x|#>92Hs3V9K_!~Re|
zjcs&T6I1}dgR82>Z-rdgJ5bqe6`cyxDlLfa4}RX9z|mR4@l%N*<76%05t@g_K@>?L
zz1S}J1pw89P25BG^t}Td-u`M4#T=tHs*639neQ)+iNK#WXXS9>6|cyCf{P(G-`S(;
ze_;#F37${qv0YMBv`a`x3kZpvo%^e!CDPdgNJxiBCo+_4H1A(E*-JuyiF^)xoWutT
zO#A0mL;>j-23`B3(p=N*x=VXXAs6GqFH2aV1bufoEP%N%#pX7G);;eg6`IwRM*`4f
zH&CsvRSx`F40Y1Kz;`e5@fJ(}`!+0TowI{wP<&xTa->OmhxZ78TLhkfA_o4)uM^-}
z|Idq--K({=6_mW4ex!HoOG07I&>AZi#7RH_7gHPsc2<>=`d(-PKg&;YHt7FMRYQj2
zA3??G#q)us(~R3k3Ws)X@TKMiB2oHyZf6sw^tbjTpN2<JK_6Du4c>lx0>EH%+bi3j
zyo}7bMWnSSd)j;bO8)XXP+$QGZI>-~xC9UTK9$5h>Y+WLe^BDt^wax3D7vTRd@Cp@
zn60$d2Y^!N<E=R77~&m^@!}Q>65DPTldjVED!?=4>x&p@2k52%$#z~eld4x{W+o`c
z6MhB3cm;f#!Ew6%C!fBiLajPyyR9*nG65pnQy9=})%1vv+e!z(7l??Y^6GCOT?d3h
zEY;%Miage204&c`c=EOx%cdPFEJ1Nr4TV^F(Sz8-82NRJ2w4EU@9)PlL;C=9e=0LM
zq-X@U8X5~R33p9kDj|{Ba0ieHa1HejIRzpLl60QX3LF4%2e1NGjC!DH0Tm}gdZIQ~
z>r`Us4z%t=rg{zz0FaXNi%&Dq#CaWEruNJ?`d6#BqPqGds3M9}fCRZ=yC2}^2fBNe
zKIN`J^DVdg6_EDne3~WF8FOU=K<pN}fX@Re84Oeq%1wtsdC+a7mieU{l<EEri_jB(
zhn*>amgwoUdffx`4QgFub<T?~=Y4pVnyMWy0hZ!z*IB1>{Q%H;+RGmpey!8w``|J+
zgM{P^&??QhF>h-cLN}U#5ipUsv$cFA$|MN5&Rv3VqAUBkrpq_?s27BWBp#9$6+l`I
zvNZveC!mFPQ~l^-zrafQ=@<eNV*sg-_O{Y2)Dc|D*M4j_Bv<Lb-*yc&o+hhovsV3(
zkKR^TOwWKyIWwDiHGmvwUrdZPssk2l&yWg0bpcSpf?I|!s|!hd7pEFs2hcE_K>k#0
zVWrXOan<{n4}r6|eun^<Fq0-s=h4;_3gI<q4=*(rW!=B@<3;yzu&&p%`iZd9&9z&B
z`)*yh*l~YBjMR<Yj8gc~N_elVKn0eN=bO|k*9W98615+4no36XP6Jwb8h9UHfK-=N
zfg%v-&5TXKeoMuIc8|TDPOP?3wU{6x>NFIvI|_Pk-mx0+2EDEykRb7i28x4)OL{93
zP_}f{RcuK7rMcROu@<02Kz_eCgB40-4;L#s1GE;SJLeFn5^FMQ;tr>uNa4TX+lPPH
z+r6w_9mFm6wc^9*!5i-RPd=#lMvPI<`W3n+&sd^g0?{@DThq8i8>@%k_y<sQl2Oym
zpJlbd7q<K`+ujR!4r;*z<vHCO)DYpQFLcVRqK&ZBGKr3WxOB`>VisV2`RwNz4T0!K
z<;F^CKgj;zc!Np_OZInZ%<N}y@Iuf=Gb8#q7TfjU0rX%3v)aCl-HJ|Uk=Oh{B90Kz
zhq`v&mxvWd+$D&OM{^QG`Eo?vQkCV1)1n)Ycopujo426!EOl`Sw_XHZZHe+4|02GG
zyn2KxR5u*08D61y01Ek(@Dsbq06&v#A=%j2kmu8PZ|Xbm^8^{|u$n`s%hP=<$hg3d
zV%AI6xEF5K4+8zKnAeinc`nziV_4zcaF!I54PiKl!Pe{sevs|3A9^Zy!}Gy8wTvw1
zqA+see_(QX0gxXDHDhi$Zb)+@UEab3T9Us#E*D87M5(3PpI9Z~x~0XVB-r4##Z2!_
zTB-P!y5Y7OE=fkHwwmQzM$=;RNf5eDbJyjOyEte9QSa#Ell!Eu;Vpjdgw*dot!ZoH
z_XsuH_VSOSmg2x{Ar!v>ed#%GttH>jANu%_x)Yo@rU$hn3guwqMALk914sqk&<vm&
zV0pm32&50`m>E_98|#tY{O7VI*wzS_c^`avpGIh4KWs=2v^ME2+pyuYUDN^$u*gnl
zAG7W2ieH6?m%QsIcMk+@AcEeAR8f(l0ILwr1^jSrf6iAV%1{9CYYwSBxIgusQ~0${
zQ8DMj+aF42eV8xHfA<67_CBxZUDU%`70QSZqQM_iz&Sb6gKN$U<e?-J9y5WDz7>2u
zCpy@W_Ck<*7&w4R0L7Z=-)HJQ+S7ln_hi#+yesfvtFYy<Tm(sMF3D76=8<f_BlKMA
za##K)7N%8f5I`gVt1;^y7cVd}AwtFxFe1ai47l}C;f$X*GPD6m12Lbbk~_da=j%6>
z6+5Q8RcsGMGh|WeS~{pZBf;5TUS8{xsgSuMMufol5->UMi;9>0;@P&>!0fjuU+0&D
zchnQAe9=Y6Sha+8W4;LAuG>)804n5{kaFvBpNgDMz)yVzXC6R>aHs&I_=H7f#PN2t
z2y3`^Oyqtwy;PU~o>7ohJy0RqCL^y;E~kvE_0dpHEKWNDimltj3fPslAjLW}<Z4q7
z%Cmlt`%4W6j0PyYdZtjyG}0;Q+$qqJ#!v&5Rf5S5yRBE0LCz2mEJ@>j;@Yt&WqhHo
z;A=pBDRmVoI_``5rNbdIZIr)Z-<Q)k&Pckfi3b3Jn$+z1zATq6!5$xM<t>{`?XE0S
z-1q9~jvO>a)zS=jMh#*5QTh|<g+cQDGm0m@inooC#n83~Dq38C{)M88AtSPw(~UYa
zPOBuOkzLHaCLHrLgR+t0I#X$s;ik}BdmiJ=ufDh9)R9C!-YiOFCcF7h2)T(^51YMU
zelfYNORlu2)!66V6NJHr3;8xi`E{3F6qXO7h1RlW@@5XPcik}-9Nv!8(O6rY1{GHI
zugXbKNI#~(FbH5LK$(lXucZsiw?uy~y@~fQ=ng3lPJQzyWUy0s&fn=kpK_rqaC=ZV
zB`mWQ?g!1WH?ixq3y68DlLo^B;!lsh@4g#0Z6L<lJdeXrUGQR%XF&@TRTLw3hAOsT
z*qw%}tF20W={sCE(y7W3JGar!o~81#N8u{YEc|kUnby7kmbKMiLYJaN#$~jRf^+hh
zt6m37(JW9<MDxjR;lv(F5`?+Omj{z+A#)Ko4R)!nfz2~`jlmszC|)G)V_~q1b;lB{
z7(o>Y9!1E+D$cUFk)wnTPXV)-$)7-pmK*G=j}&jc$pMpK=C3@upRLLdL+fjKO?27@
zTHzo0eko-?02$_)ulI$u$%_x^w9j6PxRZ78WyXXUt9%i&8#L;Dc~d*-y*oO@#FGXi
z^II4cP4Fj}zIw@JmAilG`Qdu=%rXUDx3@e7cSb+@#;1ZW1WWjP9E=Mf?It%yDylvO
zQXM=#hrGO>u^r6M@*RwkJy0NqYF+!A)nP*!6gJb7g6v<tptW>AxG~p8slXP^62^EP
z6JKAOV~zoaxFrVfiNPG?p-P50nL6AKUArQFX);pGE;a-)L3hUwY*Dd-FvhmW#hmPc
zkkO1gtmsc@o`pE)5sue)a?izzU_Th!J**pUcoi4HihYHaN6Iqe9E9FzpqDTR+2A)r
z#9rruS1Ds(_~Wlq6BmY6IW?hjtn-33L$4&iwb2rz%tbe&eMAuqLOc!$?azn0-?{>{
zfNm;GBQw>hNSE<=jwdAc^Fl1b@Vh{q2~Vkry|og?2(!$x7&qErzfjT|AA(a41fM-2
zGio@9Nb`M<;U3_**kiznAnSW`y~<PSy?+jpsf21+62j~1v*${bY}-^Mm@j*yN2gkp
z`2f-a?n@r!#;DuY5?Pq}kL@9Q9S*>!+$H9y4eIzi=vjj5-aXT$*Ed5WpDF&t=}y?$
zJvEunK+Hqw<(V@ZA8!*{7K~Dx*u?m5wq02<pCdp|_ueoNxrJn)-aobpnvUEB2~+K>
z4dt~Ww4}wn-%)0?zR~(jw2kkyUA8$A;~2kJ*>$tDl@2|;R=I@asFh|MsIIV)cXt&R
z;@c+ex|=n8;h8TE(aW5&>Rm{G@IJ1&j2IuHalk%rn{tsDlm679p~klveXCx{eq-Ux
zXIt2)tTvV_QlXK*V|-`<#=v2__;~XE@-OrElxW|>*t<Szr#zC8(_>?PVOKkbI>A*?
zZrB?UcpJ+?{YN9Xb1~AtDWisa`wH3_$(fv)Ssc<;%EdBfSd#kexoBPCc;qXlNzX=4
zbrB>+4V<T}XkQkxw$e$Shw@H2)X(9Ok~N|&OUNDp%;)-B49A_f$KAcID{RT4_b3`Q
ze>=GgV!@kHFgcwuYOHy5S-&iI_*?;V{H2H;LA~+{NU~M|VrOAhf``mF5XE^|!41N!
zCELEw<D%)M=9N8EKT=nF5?1$H>7!*x{D+^l^1e_%@j4u93^NSPU0)^)d_@S9H>|ho
z-&6A6JCc0i7b>|ki^O%?S9u%B2&D!IzBLaN;J}Ej`anJ3W=I-fVi^sO9h@hyRxWiP
zC49Lcd&)m3vQnFO0{=|+dn~iE{Z)wBF_C?bo=#{Hm1zuXvrx?}(}!o7niyS1{hzJ5
zsK4$2C%;^aO*}Mv_RFD>5h=4pdRy-2l#oqLTWrY3eF-(EN9mZNP`R))f*!-y-nFy>
z+O+0B+yR<Y<;xxk@+us6R$gI*`QsZY@5*{<^pfEbAnw(=h*(021DPMtE}4f`!JTN+
zJJ2<2#<tv7!1b(Z*-UhKT?w0*qMPj@oha>Z=&5Y_We5&$!Qzap492XY=YWuYf;)Js
z+!ZyYoShVn94XaL&8V|cp+MtIUE;RG2pYJvAhqAq0PVBj;+VPzKjvM%7ebx;s_{!d
zBqGmyKSFJ7_iQy~mk&whH;hRy8a9&5F=H#8Be<o85VBF%8m^bZ5lA}%!GKS2=x3%8
zMN`H2G0lpj!^1us_$?P9mag|M@~oAju(%|hn)x0p<D7nd6_kyIsFM}{nbR0xz>`y|
z-^a|pmM*jzu1jLB1yVz95^Osk;2QG+nV45t-@>rLKRd6a#U4*UVX|(vH0xQR^xVH$
zWGq+yu0Hd~?DzCzS``-C%LC*9afcmWzB=h->)6T+hs3d!gXMAfh{OC4Yt}3`q4^Nd
zwtsiiMgS*~21c-{2q4RZp?Tb5s%Tw8qhwXgg&1KE>W99|`(^R?5AjLq*tYRdXr_KW
zqbHSE6fly^ljT!@DZ}2#C`4HfNG(UmFe44g8ag32LT35Z0n%M3wKe4;<XVn%J`afj
z@RFlt8mKycOND|CTyPj8$A%Th^i3b_Qq{lL65pqijCS;bV!SHLI!bHGH_K)pV6Pn)
z763s#-1{68GhN;B99;&<E_oE4Ba#P4PjFh-JZ7B|Sf_;Ux#&vjXh}L!P@&oc_z`Pg
z0r`Nfyz%R|Yp&dmnN(UHS9aP@wkilH9>sbUdRO$)JD7|-_6QdpSgl5!oK(Jz7{I-~
z7}_7OrJ9qDL>c5sDuNTG3)*~Rbvl}Y0e`cIDL)8CDpxQd+-kEfyZkkhESz+KpUu_>
z-e%*Ht(0d(E`7rtzel*gxV_kD=tb9GmG-<CuP<7~&_tuBof-9+Xr=E2Zko7kDc6|%
zZYAmXLJ(&j%x#^&j@c$O5lA<5+73|fxnd<tXO~R3cmze#^vuii2{L=GRRfecX5A{>
z*vUv}X#f{5*5^<zqP+I5*9-W+aZ8r=M98)~=fz9rsjgjT%XnE8bc><~xR-?Q(Hb2j
zOc%=kVAc{{LiMeK3FASde?!Wh{w&zFoYiCzskZuWvPG5_^i$#orcd0W0a3^x*2Mr)
zC*LePG(i!@CsfF&&KPHDKa?#;|K>rEp})Uq&A~w<w~YF9Pd1>PWK^;yDE5ze+m^Et
z!zsK=`?#@m0)5#D&|W%vTS&x`J&%uyb_Xgww#1*q5MJiFkTo@?@6%*Cv*w{S_L5?U
zdylb&(VF1#P{>Na%mc;bpAH*t8MqJ}2;zHA*EZy>x|)G<xKHYbD5w?jt@sbLT=u8Z
zh7Tg(TnQS9jbM||d-q^PPKP}AcKv&F?LIR<fw@L&v?wx*McOWmg#xl+-J6qv5@n7;
zmM_tTk6p(qqv53=OYM(Ru-D<By`K<?(QtqvkCcQl{GyaNceaFgLAhAkoMD0$RHB~r
zdHs3A5q!jeZabqq2IiVWi3G;vr4N&<*K#WL*&0&7GLgb7HEy8YfRSQ0xO^r;53P%1
z9_}s6`zlvH8w+(1+Gl0to5@vL24t=@kpjyL9EOvo&S=86<HyKh+4x3>t9^FJTrlLj
z(!YFW+ueK$N2$EdrFrEu@7??L;=*k2z>GY%k+u?dCyQi;LG=05P+%J7de7%4G__2b
zFdiHgNLe&dvi6{NeJ02Wjs(jcDUSE!)D`0!l(ojfPns^URG?iGQvd!KCbVa@{@_c&
zX(S3=6HSQg<IAEfnBMlIL@JT2QY1>iJ87ktrF9P!m&J*_0GQTSi#PqzwE&#b1NaII
zKc4Mo$v)Qk+%#>U76?+BMu*KD0}&iWx?I93qFf$*+i%f5w8LfGr|qZ`PUq`c*lj@~
zrEmr|i37$jFI110i-{Z4g+n&B9Y0z&HOn2AjoJ1!l^cxOp3VdZ8fCD+PU6jXGaS1%
zs%|fq6>1Hoj*??O|7w2Ev}SX~Nq5aB+4eCpGvnxzinswcvAo+5n^Ct;lc{#$_Ji`z
z;x&}K2kogD)k}x6-Vb_d(NRz_bcl@cU|ev69BB+7WzX@jq%p=VdOC%}4!<_y4$*Ii
zB25F4o^c|u`9Uv`v6mk;AItn|eBSympio`N$FmeA9G6(`gia&}61J(GP-ye`CsS^y
zy9`f;;gu}H8`_;O6E-hS!h*w^29*0;$F|3^T68O~d*3_3T?L>s2g9%6MbdlE_HJfM
zld+B?1~3#?66MQ_ru4?K(M(Ckz0HIQReGbpSc^lO2e}2EJo;ZMOI)U$WvE9)UgL>~
z&8W(34~+|C(Adm<ljKRbGCB0r*}dUBF*SR3wBv@|9cAPVCZ7#iW@nffgA9PU1zww8
za!blANRs4ijOGf}9p-w`ZVp9cuB3L@PH+Htoownvup=Q{`ZlACPI*6P46m>w5M7Dr
ziGWxt0x=yQy1@N*LoJpalBZALOpps-e+&!vq1+SR2>U@Rm3yB@DTsC6Ij~gvDKw$_
z1e)t*?SBMl3k1F*&qYvJj9~7)!Z=}yp+s^Km3G??(k?ADo(v>>(n+Vm^vG0y$^jbQ
zql&+e<}Zcf-gn8v;Q8f)NYaE(Qc>kBF=&`Ov8`K7wUjp0UR=x9=G4ko&0BOk(#zFm
zyVa(Our5l8%6!w;RQbwhT?cxS%DfBPP9#~vl3H!M#K&pqzaC?z%qyG!kYQnetVoEe
zUEic{)5I1nb#)$Z+{`m5h}+Dm?u0oIfOedw+SRUKN*+JX$P#IJDPp~NzB2D)C^~c2
zY8l4dnE%xKdCQlcPXiR&r{yYn=bu<&o$jYPh-jREJdkmWVp~XW6v8IX1z<5|{5UCn
zHi$_ivY3eek`q2$fowsjVuTsX`8Wazz1ehFyh1u)31hAUzt_+ovZ~)CHgsPmo|y5B
z1wH1OBiNL{;Q)3w?zqEzIe;{$^oQyHo_799F;#I|I?!s_U$f1t{fYbp6Tfazfqj5G
zsv%mOzf`&4>mLTSKJ?h_=~mm;DyT$b8l6HO0Y)PCux*I~rBKibSwFR_r$4p9{1L7)
z0~Z;r5Nek6-H_bEnwkOud8dpRF3kfhO*kj6*b4?SUy8ayd}V_u<{zQ?$5+t|Z8QBd
zkJW#19RU5-sbMArYN^;cMy06(Vt8D+h7WB)k^aMdA#aAB#~jmBZ2cODP?2SVJk#So
z&7e_xfYIXAMS;lFdp|$|UAX3qzQ|(yYKgB);9ki~LIUf4b;|F`#veUrBb`@S#0U^~
z%Pws<d0zX&guPM`bq5)QkK|K2Q-f2(->}_ez|15H94^||-6qou;YE*0oF>8t<!>Hr
z^4AuU<dm5qkx6RgJvkm@?F<`}$O}yt6c#<`Ky!G!A~g!a#F4H--zfbMl&|h4QQJvE
zmTWxScGd%5zgg7%R;q8Wj-;%OW(!%5hciN}pzYw&#Ch>^EbTl42CsTCMlw-|Ys$(y
z=f$s;B0NX2^Z0WrbGdPGj^^^G{3BQ7li}Y?8s1ba8R|_J`)TVTt~lADwbpFbML~#m
zBbsQ9Q4-FV@wQW$>zLnXQP417<e?!q+c(pg`4AfUs!hS=Abg4{Z=-cBC4XDUtdZCq
zg*3$E{c6lbVkJiI-b>f-3l0qPM3H`HDg@&Tw6#AzL?Z902O*G{Acv=%^D>xAK=aC!
zp8x|4a@@NI3h=LA&n^AbmmzQzGL6}_boMxlHq1Hee98%{h<(k)SJD0oKb*m?Gv-yf
zc5#h3zQ{wtmi*avu}iDS2SxR{sx4P*GhNY-x}TCJb>J&S2k6lthjPEJ@hDCZgVmx_
z%7yR*&<*<-nr8WP!C7o>Z1~53y6g9WVVw97mPS9!xbqAJ#L&bN`@Wmp2%|P89PVPa
zGV3nEG+ob4W7dfAwbu50nP61sEreH}iyh|8vDkuHxGRbRQ}sp@l{}3Jk=$L|{hg8x
zKk+KMpypBUg}4NB`OFJw`^y)^;!$AKgIoHf`}C=Mf40^Pw&D^jY-+4vvLQ2teUNUk
zVnQ!&3Ld4~DPPN`FY*K-i{2;R#G>$CVafWP!mk4XR08ZT_VM8-{oqfR96!6q7C=w>
zNM!b#q!pKY=;>!9KY4o%o%WYoX9R`gPf9&dqtImZ@x5NtKzd&=Eij)w>fu7fg2t~<
zaq)v65ckU){fV0nm*CMvZe&<!-zmt|_=M0;UjF=OhuWB!IPkJ^t=xZn_G0D)2<)cp
zz3=Q<iTUELoski^K~Y-yc3x1k(Nj+B@|D2Rf{2}^LAvS-w(&k{snNxZlBq!Cd#6(6
zk0OYQXu2fvI1f!EY6PvL84MVGKdl%CqCbO?%R1&_H^-GRLE-O>U>%G5N!6uhXvF4v
z<XLMFXhMlr5n8$)!}mZ}m*M4lDnvNwH4SJ0!N}@yxYs4f;P;K}V|*j#uCq!Ed(-Ne
zZX<kSpooY*rOW{{n><Uc!5LQyJpGbwyMm{`kFG?<k7P)%`!O5QqC>;QG@AEv_+k6c
z3BHTN(-<^dJ3wlX`W$I*)X!^-oZ=$z{qCja%I+g=2FKO)JU+-U%k(23q~-`ny!rdb
z+D9D{Y}V{75}aw|#c~Z~x^ae_bPOe*S#l?OaBVs3RwpuJdQ+d(NvUHoFqlf4vw5Fq
zSQ+tReyVNc9ABfW?M|dV<`zC>v6I_nkk;Vredx&AxYLJ8<oNX`U1Z!m77bqk8o~!j
zcyf3ZX^5a6A6Jp9dz8oszDVb$JUE`>;7bwzdRAz?6MC(Ci%F(Mrh)q=KJojbG(?cS
zkVOI&8lTi`PN<*x`|6bTgt(|D{c@>P)~?!?zX3-+3s5%DXNgCPBZqq{>S+jZtNy({
zTsB&NbultpkWlntWn%mNceCI}fJ+4WI~_>fDy-i1N`Qlne}WUc=>l!l=3RkqG|xt<
zT;f%0#Dsm012k#o51O4rVfsNLN#F@G+6IsRO0_*G21)itxP?_a%<xNcF)<k2H@)T7
z5=s4zY-KMnDyZqOm1F#wErt_yuD#2^s&ZAY$3OnnB!1cCj74L+_eHqa_ciDQbb#|Y
zitpl44H8ZeWB@(JwRHCz|Ajr%c<l%6rWw$FZM)NsycPGM!#d{LgXyYTrS3Z@3P95x
zrcXR~lBzze2&%fw1)H86J>0eJ8-H)yHM#EG#YqaK3D+74t?rSJJFyjGf3Nd&-t<i4
z9Wl8q446y=&unTiljQI#1#z>X9;6K;BL&<2XW>O+!P}#C+F`%=?YGAF_erk)R+Cf6
z_nxj#=95&POkwu;DJD!^DfZvPk0z~>Ec{S{HRCFatRVY{8#l=Yx}@NVcy=F^A$^XA
zbmq}vK#nGA-jgEF$qy=fKm#*CrG%0Hcs2Nt^Q&5atD`ep0c`m*t^P;p(uasH?mm0r
zao}A(&|0`-rl}m5qb~x&`rd{+mQyLt$~@3-fR?*GEAtW*j4`@5iA1?QupTCTd|C|1
z#wG2Jn{BA1gjl%|T8HX9U|{$+Bt!%i6Ieyas-WZIJ$Y1xgcByPn_uU!GhO9yqqX~y
zq)@zs<f!_*EE$?+zcoSu2uTCxdV(Mz&iAD(pEK5m0fJD5%y!a`jo*n>fSLOagpaMt
ze&x1O!5LC`j?~$Am;H9xNKrY0e{+;D!I9+LoI`{Dg3w#ZQhj=CNQJX&sOZk<E|DtF
zf5)!2v(D8@AHOq=syVip?<;-!AdyQ25V8dVYBr7jL7K%^WTEiq_Pc}infx+yM6J`F
zQ|5p+R(tZX@TSA)%l+d;>rxfYJ1&pU0g$08JG>^o<)No|hg;5-vUqU|9Cjq8IwM%K
z+!n9XoaK1IjC~PGEtg08l63pexiZ{>eIKLk<Fb&D5J0MwJ<I>VCECon!D1(c%cHbP
zUi1ksl!pQI>q<k0m~?yd-8-x+%ynI|{%76}C(p%~V#TsR?;c9!a<jLw8&U7~n>$#u
zfOBh1)=59S<!;$pD4}#71y#DJxW|b<4Qvq-#;$+9s))O6MQaf<_RLg=R@j$d^Xqwr
z{YA(a;lt}sy)xVvSxJk9p@Y#AhAbxb5WZIzNO;Ux9<s$D?Qo>mhFW7>Id=8k4eW_n
z=vM6zX-E5$>;@Y}93ED=A-BtLx*%s(K6HwmSu^2M^j-obW5$CGsGrmTX3_OZ>k3*5
zzIzE^A(L?vmhYZzwcSKVBHX9%CwWA`CjPm_S3XqP4NN-7pzDaG{k4@_Ut*0scb#!h
zxxrp_igB=PhgYWvCRVeOR-RFEKsAdGjEo$boFv!axTW8@n+$RcEasDfZQkXgK3%WK
zjD85|kA2&9MXx?8ih@v)R6wum+0~`}H`@jESn^1&^xO&GLY?9W%0H;iNFQM#nak(|
z1u+IuZ770gF#sQt^i?CdGmP7T*&tUoj7~RL>*#(Rwg1#glRI6w!2GmW5IzvvPL=IA
z3^;}Ud2$F1yxHJW{HByCT7^!Lf?Z!K8mqV!!RbJOb#Swa2`zKJqfWc^Kh0Q3$~Ubj
z9|N=wCBOOU8zuyUqy#Ou*FywLIcS^Ozh5gL4pF+9kXJuA)Vi9?5RSpVpF~i;wGNs$
zIoLT*4Udr>;PjKTN(%BLp~eY_nktJ|BuAh>I(FhY@OxD4&2?E$*~jWTXM~{uC+zZ|
zi4{<6#EpHk4U-JJFq^3UQIV%w;$}CYu4+__MF1NteA;T=RFeBu4}2xA82HMCOew@5
zfdHgE4l1Pxo#V0`5pQL#yM;iY!f1V2Fjif=ZQf9Ky*>S)rpX@gkYQ-8e17=KGWYs;
znH>ceO5ErRHa+KOMNxQAl2X}ClOQf{rH6VWa@luq<z>b94{$_uUo;q;XC@_}80N$o
ztUifo)fw<H)z}7;(H!W>`7?0%17M@^$Ao=}UzC}7sZ{hn+x(5ZyTTu8H-S+2Xmbnu
zvvR=9(Pm*w_xQ1=0phBXb_Upt&!C)2K2o2%alC9WDy^q*s?ANGiOt?W|FF&QTfLk|
zwhcOxa5T8I*Kb<=IbLIm)57`)(0o|nFvDz*gnU-W8tTdEDz^F=6nEU}`>`Sy@otAd
zi-+LLoa<#BCp~vqgT_oJTy<^aGp(7e<-zSr)abixW-9~s2&x%Vc>0QfrYhADSXoe;
z5<?J3MU!Ei-^ZVB4NY<)Rqe+^p(kKt`k?+u?#~f*fMsPKK<G0NedTggA^2c}`<-mB
zAXvP-1oiT^vgMW^P_h>rz=o8F&4`N!ikf>!2KALV28WT|#Qk;jxQi^c$7CI7uN|Nx
zB{Koon@J8AkUg%mxR~IW93>t&3l9pdB4FXm?cH0vPu%eC>T5b|za#WZ{{ryAmjaH<
zzWw)OcWZrywZ|WAk{a?x4*35wz%(}%{(zU$%<(GUgJ*RTsBDQH6ZYf5Y6wtF^FgnE
zdg1~JIxV-XLjN&nC3rxTVmVnC^0lt!_pk3CQNWI)OaSXsysG^T%A#}k@*>AB#P+1f
zg2gZF^=(B|o1Cp|U@*s<Y%d?ntOnyjpahvrxJE?<a@ihuJd5#Coi4wia@R_ou1vi!
z+Yh_$Z6`aDOrs&(<<N5f-La2C-dCULR*+x!;&M&6qRL@(#;y8z-e!2@%b(+`6xuON
z#o7smary~zlYAkM{Gs4POnWAYy-**@$p&RLgZb@p^>nmkB*v{!>r!VVw2oJ{0kDYy
zHfLM$#e+P$iAKL3{G9wj&&ftvyH}~?(8NkJdxtnCEfFknLq(5Uj>hzC!x72#^oyNt
zZ08fYm<Jnwc!fg%vA7wFPq~4mhve$0PTMhwi`{mQyYix6=&E+pweQ1iboVcAPUBs4
z<@CJ;s>8sgh~vQK!O9GMcwa~!&IYT{z`-+0XW+y7Y)|N+usPJ30jk1JpnqLV&!K5&
zw(fFroKEZF-L6=v&V~aZ7wfI#+6H8S9R<?2U-k$v{6%ptJ}Lm+KXdgNyDICM#LsXm
zX(tk90)AfiSF)i_mBvFW&cIzE!~U{MsXEemW6n3{roC97HR}}b!C!O4S1MT`&C6xO
zY9)xMn{`#DnStL-zyT#5;)7;j!}8SdygI3^Ztm}5xoaG=#2y<-F#jAg<Pt@^vyvr2
zhzOHhAHo!p^Tp0KT}3|a=kqd#R6;e!M^=w1-r|B2;S?L3RX4;PLg3#<a9e^57<U$m
z`x=5veVoF(FjX1SXb*`mGH8W8q;Brv8;6F%0?_E~Q%)ubG?A<p<Z@fF|HDz$jU2lM
zLP8_HZM4OdMU%8#Ft@Zgpx!GKp~y=vYYu-&_B9rb9x!Uc2X)^%@j$XUxjq%i=O2(_
zrmt<qh(DaEU6usQ7pqg<gC73>kahfP`{0a_I&vpABCerb3wxk&c}Sy>`58$Or~}RY
ze+Y~gUd=7it`VB~;F8iX?`Yee0T5y>j0zKY-v0^dc!pfLR`vzLGLF(UR8ZrAd!uoU
z9!L*PPB2f5tU4TjLs94~0lLfpEnakF{;eR(E}yms;2a&YtfCgW3KVz>3cWFr<>&u7
zsg|%ngPe>GyfL9e)4`mv!wt2A9=i>uI2IT)WlwqQ9RcWVTxm$9qotGxq2`5>@@PC7
zqyLFk<<WH>AiGK~YYL`5gF63Ogp3FN`EdEoDz*&IRiR)R2S*3tUl!5uIH;qQg&FU#
zP@x1(EMsPXW38w!j$stIL_n<t!aIbh>?cr0Z7G5e%}(CFuB+*T4|hi>GO0W1?{;`3
z_MX5Rpn@x>DDCKvBouNO6Bu2&_^q-QNthZ6R;3f@R8$7<4VNJ)@_2Rm5_cfQ3|p#K
zmDG3oeV@NO`j><}_w;S6C-iid-kGp7&yQrfv*4Ze)C^fN9%dGk%RT@u{D&?c2O_5b
z6R-Zdi-+6&*iFf5XM$)wQ4)7%xJ;!3q8NhHw%#cV_c>CH59)Hl5poUmJe;$;LsdN+
zF~sV~8d^9TfF&7-k%G8GLftJu;3JX-rvd!8=_<?FZo41Y>}C%D{SVZ6zlW>8hX=^l
zu)Fx1R4XFP1=BgE<sSWE>mDCb<^j`V`lK&S4e_fr^sw|7xM9?Mv;7joJ6XL%&vNma
zK$Thn`b`4x3nDObro3`zO5N{tuFsAY&AIT>x?ZSryPI?-yj`-L{P`ULGg}rc7VdLv
zR&~I)G*==VYNo9)I5c#0^xcr){9BRn@#etq2K@T#U*!x%<?5|>v-UahFR%AULnyCz
zFiOV%gV$S6#B(r=`r+e1!NZqRg%+bSSi&yE10@QpzqTja+Fyf9D0Ct*h~Ux?Mfc+c
z%A{tjC-cXur%K;*QYY+Wq&v9@uS;fHe*7Y>@C>@M-Jok?DZ@dINy`Q+^KzrV2wRlT
z4ss>=^}S!HVY$Tg9pPVd!oQT?Ww(^yMDWhBpCt5_@(mwubC@}%=u$f~_&J0*Q8Tm^
zKplRh6v$q7loS*N3CJOht&43sY`eM*IzL~NRhTSNy4c1=D0>8D-t>A#5&q1(zk*hM
z5R(6iE$mSY69TtRM^dXU{fCumC?hgZYye|)59AQQq<!jz=|^muMfzZE;!0aIEW;AM
zP}QnuPrvmy5%=#pp9j*?RAmxLcN43K1B+jM>V;W!Num3Ctko+k=93t=`U*gs3is}{
zQN0|8?Xm&N0p#IUVAYUsVBVdQ%j&?Tm7FAciG9jT8Os6$UHHytq1(Fk19#R*j`8F#
zwz<WKF$5<}t8<x%>g#*(6k)&tct{D|fa${d2y?-Avzky+b3e$v#%|5(kmZ}nMgOv-
z(su5R)k(h4(YHT21uQ|x=e>ZsH@OAlp<$z~#Q*>B&puD~I(^G@h532ySz-Bhn|@nb
z%;3z(|HY20Q56DcBwz*K%uKL|XSQ+t;p6dt(1OEmOGW*uYu%Z*NUGkyu;}0xRuI^e
zwSsxq=i_0OhX4N2)6%ibZa4WmK{(=FU0C)xTvrT}$H}zAdYHpN#-<8Cm~}-U=Qj5&
zN#%hgxHYA^&(28nzUXYg<=xQN|BME$9s)u{7&vhI1L$X4VTq{4nAcDrFYp-r(xGSO
zvp>^(>l9xBm80uR>4X>Kd>`3)UhTdm0dH00fO`C7tp_r<8~k=>K8u3nYt|U`#N!qv
z5g$;*-NB5vz=9a}zNWehH}4+uwaA<gzLw7J4{_tAaMF&UTa=E$8(^p|O3(gsC_~2}
zivkA(2mz#zYv5Sqg~Q;C{4D`<DfIU8R^-|3`2LJlRvvE4VR&fBH5jrt-&ChB8AZAi
zyzKDh_MkHZ5sb00gyEk#z8&ss5uN>o7CPnp^b#P!5r9qOT#()|A6fHx-}MeW?gGql
zyhL8&)-V4F=@ziwy?Yl6(3`(mfI@4%+l8}7dPk9Dr|f_wD93=IsDhi`FRagjccy=L
zaN;CEK(pHBW<qbs?nvIGs&NwTdKmFR2Vm``aIm|5-aPOz3)~1OS=>Lb&;AeqY!(eA
z9tWUlNv66|+tptYT7WpX=5w0CQvNOHdFop@5;cZ2=r4CrGFLk^AgFV;7;lYXlj<7;
z+<uin1X5wA13+pLK6<$Up%aFkhMtXHXyBs#3r4I$1gK?%?p}2i|KRrYPvE!KAt(Cp
zB>fwn!((!%DW|}PC<)*3^g`zq#BMOa4&bGVeQDvGz#AN120hR3_~EQer^&l8wkb-i
zKE^p5|L-ID3k-mjpfPXd&;qTokg(Py2@sx{;#6k8x6GM^i+XGOXEnjf{zrbHnA++B
z_CccEJ{&&#wx$*l3LoVkUfMegkcFxxEbA8}ze>eI!a%y}^GTtBtD<kk@|NBmlZ~Dk
z&iU^UzF_vTh`;4b1DQY^A5Sqdrip`F8vT>v)x)(JH!8Ov)+AG~?{2LG{EY<G#+}1f
zU>yW5Xd3rcRo+0ExBvOy&`bpm97#-EILW_*|7)4Az)eI$vDQ@MKkvW$?Em~J9?W;9
zrp|yNVH6ZA0hKjq9mpDiQsx6vejsiMs8jGqhEC_5a}d6OQzIM)grhWunH>KiTg_&L
z+Z-)O;j)~WD0@%pvQ-3VzuVW^|7$h>Eol9*Hh~uGHJ~;CNb3k%%grZ2_a6x%I;gKo
z5WW`O*|^Kq{!Q%tW1xzB|FBU9|6!x{6ZzlSsKMp#R&L^-`2yUbKngSy;1Pm#0eT)<
zZAABF=h3i<VNEW8;#~igg7{}E2q0kVyr<)=EQYPUI-Y!i_2&Hro$*)jW*FeEezV+J
z;@#hD9XQbM%d=CtIPlQZbtkhfLkbxC|3K9%%MbqxNZdap`I_YtDeV3mO`Zapz<>wl
zEF`N)^xu_S1{~|gy@PLF@(;Y^SrTJ~?%4mFRezTn8dtT3k&<?54lF4)L7+V8ULT=(
zA6gj>>f31GkFh?4gXc@}xIUX<TOUe&*YE@S)Ox^6(%5fsSpDm40B9XFbZ!A!KSHeC
z^dF{XkAlG)y^us4P-$gLOhx}Ui$alr-gWw>zA})ieM2obBWJ00csUccJ3Y$km%?fB
zf1_vq$A}k%bmpU_FAzz}?RFodIsf*A2~{y-9h=!!3XAZ2soYSdd9|`B+Kx<|mI0bx
zyzH?c=NP~aN`LU|!NK1sV>~Pw2`M1!GW>q$bBy5DW-emtU1UcdZV2o0)qO*EbQbg2
z+Tx%0+>MEx(%dUjC%D=BXg_3rjC<(54f}weDlx8nClH{VhuAqd@>Ghx>bHe%VMAOl
z?iEZ-s9mp;;2mqJY6oF+_&mx*S`zb2anlO9uXS;<yXrBqpW=qKj}wh+YVU5Ft_EGY
zaDhJ*&Sey#Ufvzk^j;YB)489}-|2rR^Um-p5y{dcm#u<7jrQL^PKtK8aPQ(R0R0#o
z?Cg8L5MhB(4sT1b2K<Bw#6xV138_ZpXrifL?8Vu4*^){2x8HBGJ^@cWtvFU0C}iIL
zrFs_oWU+#X-SqYzu9pbLo@GF=5*#<CLcU<2KtB8_$Il>bj9PJ764>CQW!yI>1rPQ-
zhrbxx=a+mtxE(PqV1S-nsW%X&o**o+B$&UH;QoLooBb<UB@HVY?H61^pg-88g_b3*
zd4`m=i>GA{PM&n`rW~Mu5eHTw@>-@O)8(p8mISw)gli1zi=MsilWY#CH33;_Mp=ph
zE}H2C6v|>4P{;hukTvoaN~zw0IhXK+v*MX&8M0DKPc9ms*GEi&H8pk0EoI;3SQthX
zE+30*p&mwd#Ijo&@V7!_Z(~HGVORNO!ZJB63+tjx&eDRocNrByq8?Doy?bEQA{__5
z1`eBforrS-g{?bSy;`Uzlt>hMeI<iirrK**tv67A3laxXK~DDk8Y)dwo15E<=C?QV
zJ0@sa3NLzoNY4e|CTQghH-N*eBB}~zi1Sa1=o*V>Xu7l6M9&=UPuV}TZKljOTTmiX
zRnwWI=T9?uv5+jQ>BJWSNKPd6BQ$T(XV9UDNs9+N^sOOqSPXN*E<pk(&57eK%8(U-
zYnMB`TJUW-kpv87-a$ijj~oX|!Uiy>`9I9BV$Klge6JMe|E>ybo&fCS(E0Rs%KvOp
zBe=(Y|By=i_543brSIYg=*cVczfnmy{NJgh|NV#orhpZz&g_@(%^RaCwh%02c4nh+
z+MowU0nilMYY^dAHbegK;@)~q${5eQD!bq6`BatQ;^m@OL=byM8$;D`Mf+}vT$UP~
zmWFTz7XO}NWKQtiSMQDYoasNPGM_$FsV7kJ>NAW(vU>(c1uaVG&29WA(8GESnQq{8
z$8It-(EZ_o{E3sM@PA;5{>SA5K9Q-}&7E0p43@uq&~3W%2Hr?GUj+QVmgl$rI}QPO
zH7d}heL0^VCG#8*h73G5a|e;F$KKET>^7~0#!`vgMZ+VtkZ1;VXr~!S*p*q%Uh~eL
zg|5c1=qAWi5iowE8Yv6VntXuj$LxG6wiq7+4>cp%Jm}rU&WMBY@9Ke^eD;qYprJ|g
zG0Buo7sJ)L+iSf#fZ>H!lizLlQ-q!#S2VZ*jFecs8-Q1?{7RBE+MTJh#e#tI)dO&}
zW)s|pCC<MNK`X3{p?2Pv)PLe!S=*Wos)k;A(5wZgZrMLs3xKvyc0K3-jVsG6g@CCb
z2ov@akb|o6vXA{xF5sImD|-!;cL4G@t{mDFCr{-t5oz90I^0k`6m2hsR*~^jrfl1i
z#BN|KWK(OhGQTJ%he5guo8XXdIvNowAMk(nPNsGuV`N+c5w{64z$;}1L}Vh8fw=WT
zOOV?VU~MWoLS?EgH0pWO`*JnWmJ#3x8@j{EP|g9!Nn9PuK}v-I8Tq|mcM-|Vk~k8(
z#YThne4$oQ`1E8uCaYjdHN~w3jY<`{R%eI$m7uXeIw;;CK<8Koivvgt+}W;IG3M!x
zLxamooN@WY)mvrFFXi1=C$kL>yIK}S=O;h3ufBhA`aP_?+MAN1_86aqsrTjOUK2mb
zp$NfE?Yk~N^NQo*Ct?Hb#pmV-at&!~Z*e|M8jCUf57gU$Ss2<(3UIk+svVD}!7}!4
zECd*4>@0Oe-CWJy@HdRG4hd;`945?4sp}lA^_v``#+s<pxm?;#;;w+G&+m9Gz~@b#
z*$h$cHWORNFJXD`TTURC;Lip^0`A^WsMg2bWBK!Xjo;UDQjt(O@VH*}h`(^?OBJk`
zao$7+eIB4Qtr&d-v?W<IT-jS5ay6WVyn2xWXyu@6Z>#7e&xZ!%u*=HIMzuZMR#;nV
zYUVt<Dm?dlV;&HCmGPczCsbM3rFDyDP<ZBXpdEimn^1<9?^pozmpCdQoDh0c+`f>>
zJ$J4Eb=~hyx`MITwh*EdK*+k>g0EdF`AfJO@Rbp_0ZgbK96<}wiVLiyRrJ8lbWKxt
zPXgEEGUz3}S@pQ4seM%qPTA}oaidG73x{=Q(;Kg`v#EGo7orpVP95yJ?4xqtY*fQY
zDBhG75ln-g?AwHYM(|b!<|Z#>540!XCCI79cRwKFgobC9^=B)9Cb!J(!oF*FFss+&
zvdv@f*D|=tIL?;6$1fh)IRMQnVJ`7a;n(Xa*Cr#ms>vnhlbn(zMA54bn<M6+n^nuV
z8FbTaQ8l?rQWR3eHNR5+3Uj>`PBA$;<axgSwu_)YtTlPOKyvg(>-3y=vRni)b}%DP
zin{Xr+I}0Q_%%<~%v%+30Q?^nF~HC6`kga2ncu~R5-Y6>;AiICdXxEcyeXsH@?68{
zP>4aFZZlhNEX(4J<*tSP*7ptm(8+bFEcC&~QlAm|*ExMcr0`2Wn~xr0OCq(B!Q$K_
zuq1=mm+}vwrhasEAS9jtrvFqlghi`G11rP}Uk5(8K08FkIgjCukB}E!o?GOLfw+e!
zyoXFdJx*h`M#ntHzmm^(Vz-}fZq<!Uqzn>xlpJf-Ea(WWD>s}EgVk|crqj+j4GgQr
zh-KJtad83dul*bP&kLyyC0mu4)enxpg)tJ=?_b;;@48)`%As_ful!2rpX7COzOPj&
zEHB{o5QiDYVJ>VT97k3F76C^#br1pZ{(XJ_+Nu+pmuDT|3j0j7TfahC({32beIUtL
zWzZAPF+Dvkr50&9s5{kt3EGE&ESv?PWU8^>4s>2|&v63&a6osFwlH`Es7Y-mRRT#T
z?Mr}juHW8so^c-<W%Cw%!OnUmsjKAh#xHDq{%NX!7&3t;@5ZVXGYW00Cmaf`>_ac`
z9|5i0As}Es1>D-B09sxcjmy?lRLB+(LzNVVy|P>foIhy+(*lo{R%?x3%O0GJ87awl
zrS^H4$EE(z-eVm&X2S`M26s2bkx8&<iTB=Huy@yf=mEVDMfze1_pH?P<7QA_=n`4J
zoUpxI!@fA~Q#&cmPtMPGR(_s&PW{kE>dLtg4y9BT0yAY~Rikh_MFL&}sLU}gr+f32
z!Kx)j(||&U^m6WgN3|K~WYicc=^h4DqMFt@y?lpKC=k~cwmR+eff&6fYXFU_1)3_M
zt$QX0px=1*`nZDb*YCx^Dr3Mfjn@-zdonS<nt}}ZY14G@C5B1k@+EIMdi|AIxdxaO
z0cqHKR?>KMxOWRB;8hKmYXL%19BpXZHXs)?o)#9X*Wo-(1o}TGQ?^yw&q>bODZ*TL
zU1lXw4I{D#Z5yPhEys&}#DWHY4*P5ZNxGE;%l!PT6|gN=5x3&C<>FTIH%a=AoM&LV
zFHLKWX*(A;$$7^wNP}XGh*Y^ep4{kau4#(NF!4oSl}FgrW>zkIX$eVOV*%^M2u4@s
z&Ls8&x_V#<v6-wulRCRUU4A9`ml6aEx$CLb7i~d7?RB}AwcvgiLAVeD<(fBg<~bN`
zxVC%UFpm9{l+SUmJ%VEW=UkxWqP{&E?)_TOw1~?QwMenacXKk*wrcSBJZXCRDur&;
z#twbU`TEN@zmpX17d-hxKV${GMt~Km8^7=RV?@k62>!*^x>FUdK#y!1<cVq*{BvDE
z2ch*#+uUO*ui(zEa21mH`<{aveNqTwFh;$LmHiK~%R$Dh!O8$i>!_5k(J|O~W<TYd
z<N-;)v>%*tU_j?AFcyWMW4Jgm<Cm>^I35e{c#pa5kW=Sa?(yLI<6KWTLri9vnB^Fo
z#6RQcdkV+bNhJJaUmi5(b3~jnd7PoT6k9w3O<ZSPiZTdzx+@G~wJk9f_e(B^q45n!
z=X`GNdLJ^tGTsP~*W;jTnPS*=`@QxziWf%spF=Ghe&<<6e9huI79zuomr;&*WGUyx
z*TK+d(8Y0u`fciKsF@Pj%>-{DFnrG<?%!=GuqeA&;{E%8;C6*)W_z-tVRN(lz8>_*
zk0UmsSYXtw{=8f)-ay<K+5hrt{mo!et#W`%vZ`=Uh_?big8}JU-mg0ArNyw9*ML|o
z0=Ej#vbzA(=k+|g#~8Q*d)>RAZ6Iy(mD_tMPcrwW`}uIKspIBIUSj)xZOGH#!vjLj
zM0-~~o7B=DNuR4O{_g78Y>UQ`)j2>S@TBRrT>tWCm;yxbDk6bgC!%7Y<sXw&0cIt1
z4TzIF1~C;yo!ql+vW=f`0}&s9w(TC|e*<hRgNf~V{brx!%K_s+ajcSa#on;8cGBVF
zZ}Fq2fC4V~e6cNzt*)Ed9USi%o;hdDG%tSE_(M5?`%y^&bDP(sMGXTMH)#Xl9o4WO
zH@v#K`mA1&x2+v6#1sXQ-dfv(bP$m`r9OQyQ>%x&o&I^|GpD%-EW&eH;1;}I1_D0{
zb)5oUzi{UsE|ogsa=o<0XLnJm*3*wL)}sl7XFCV#M|@XDgUySv4TcfMjWndHmvP+^
zFwiC%ZObQg8wxPgoR$-%Pp$V>(t$xtNIgk(mE_+P7lWZz!}fGi*bj3*qS){NLG85j
zW?rq!I$O#ann@h$+4V_7Z?LuLcU&K&I%!p;YTTx8Jt}bVLdWJ1hK(*GTv;7G1T+Zt
zrseJ*Ta;ymwJ{5J1f-0gv^vwrKRn3wZBeM4GLq^6!AOr{3WL=mJ84yK6*&yRxce21
zsi;1Ge6-9Q9cI*({CK$(2`_@Xjy)EkbfiGL7k0{l#INpr;|ETD)k-|@(`~iYCLjpT
z?RrJI@>XJKZx{f1k2~JD+e}y6S-S=uk5`bonYMJAC!jK@3?B)$epkM!u|4hIc@rXq
zz*UDzqzDcq%(abhYi=~?gx(%VhX}Ea($=4Af_~he8XU9*ss_rVS@EFNCXlM&R2&BU
z4qvg$pfp!e>9E_$^vPZm`pw+^mzBW1F*aNtd~mH3awa$ho9anP4{>YV2=I(=hHUXa
zB)02AaAM;#zh$2trrbz@=6(yZA7T$Q#nS9tgqT8R8xF@u?Bvpyx2}3$P3&tR;H<gA
z8hi5IaM^tNcULc|<9%MxtcS8?bD53F+N$L8+AV)kwt2%^a3~%2+lCUm76cKeV{I?+
zjNRr@wNF8JIp4<Do{A|OR8+yN&`M1wAh71TM7Wr}#G@5?2m&@b3-`>cY>h%4SUMp#
z^ln$1A!g+6P5(G`YA*$0wH3y9D{)o4=M<!8;>3g1Zq=yqjI_oypVUW9ycx2d&Q{*=
zG+KGDI>*AHe3sF9bkbW0bMNN;%=C0m@(r%hqVAV5TmJpI*XMNl>-l}Kbhk$>_#=%!
zM{RuFD?gYZ{or6mC%R;TLNKN*Uct=?ReQEJ;*-P#rLM)x%H8CiCYE~aassTAmtcb8
zXdN1}iM`=ag5Q!oMw?efmoezQdEJ%_$F;k+Dt<iWyvWd}@AKR7?^4e3Ge|d_vI=)C
zbely{T-m&`oJF`oTj!$o;+;>CdtIA8D?<>b5B8A~DsbZrW*2`Z8VoRN*A<aG89tPc
zZ=TV*$yV*U^CE@j65kpIrBn@ULQ~yI<-0uy^?G>zeF-yu&0Cwz)#<R!M+NH+dL9p5
zlvDZP5a*7$Cxh+|C=^=eVT8&<9#&&1IBf1gRL99TQ5NnpgALoH-u%x}1unq8+2*Pc
z`#XA_K$K>Bx+n-H@6F}`y0ju<Xhidb@+E=HjZD8sgx2v8HZ#ndy4fi@rN1MgmYJLB
zdMUCxW!G)0f<wKeJ4Yb=x?x>wEkL2j7y;*9lqYPZbf5jVKPM&%t*1aWW<1xEmcTwt
zu}NQHhhVS##s1k3Odlo@b;Q7Uy}$z?H&?v>XGqUbtQxG3b#)frxv(-<sEeH=@N0>f
zohJp}T-UDTFzCP}Pc$?r7ySJJsZTJ3vD}?a5Uv*o0^Rp+?3?Tu>Tu(B9GAFP+#Bkh
zDDb62!meeS!z@!!q|!ZM9m#)htKYgd@F%ty&IEy;T3=r}mz{0u1NK*r>3(|MgdL=r
z2)~4xhzDTG{7|J_HuEa9oYymwlaqILERF}o%JcIXuM_ycg<XLh_4CWu#L0iBKUH8I
zzL-uf<7`Y(_0k5ZI=7^ynMpdssP3?eJC}jB&jb!$-4`g7;#>gr7dfL|PG)9iZtiw>
zKzll!#A(s?@4PYF!IK{qKYmLuflI1@723IPV(@LZJyN-sbzf2;b9Ud!IT|iX7(zJL
zvCr#_``4-j0uTnK=tpHSWzRM`ye}wfIBk3)TzFWG+)DamI!lq1D5RZ&!9EgC{Yj{E
z&nm!O!SDM&Gil_NNYHI~Xs*HM6e}d6w_u@|zoT7P?jiVTCR;aUR_A}Ucjf<3cJF@(
z*|TR~BAV=Dd1how){rcbtvq2AlCA7(Sz;^`X)q0sUA8PCOQwXuXoMEaV<#j_mWb+e
zw0NjL;rpGR=5^*Z_c`}<U(5S_u5(|P5;2^d)_|Psz>>%Yb0fv>6YHRHFcsfSaY$c?
zc6%NUy~tP}@@|#~2X$JEaLb`gFjfzP(aLj%22s_b)JpCDQ>7C1n0jRhQC|AnKTLY?
z($v%ow6l!w3WjdDhulDJd=MV7BolWY63@i59bV#?fqp%N@7%QrB@02f0RHzT=g(~3
zSdgA0uw70KmBUMBKl=OEved(>sdKdcd0d`~7@m<k(X0PD?({-(-q|ml?$(i4!~neG
zCc73U)nzoLz6(F0;&=uUJDrW8C9Sj#8D$K$H#?%=>(|e}wB}eWP;!Z;<O#E1R`J8H
z9}}^INIieo{_A1<6zuQF>6e3wprFS`Y$#j)y6n%`AOQ@bV%sF%^tbUuFey`p*sg#3
zF-x)*9%7SnvBTr|ugm@zXJe6p93EeB*p<fjtA$knT+;bbA93claSbr3Mj#I0yuFJ*
z%K-qeWiYg@@V9YYFljU?={LcE62%ayPU$K5Z{xH8!O|`JRqVTVrn)7#f5**S-u&Oj
zg}|gjsz$qd@>96~FZBNdLJxzA$pH5Vhrb=W*9fXdiGemEpwZ~&gmU1<(sWn)A%0~{
z$XklwPU;%he$P>S7!B{KqWT55>j$fMBf@vcjXF1a*W$t^U}0;ZY<dG|3j#8VR@JWk
zfEnZ)rYpX_!HxL3^Ck_*f`gt7eT1j4+OW!gcRav`;e*dbt_)FVnS)eR6?e5ds;WWr
zD|T`7hEI))xqMP#3ES<XG2*2&3;agi_P5TW7Nr>}8Din6SsSO&w&zn%_gYZ56&cGS
z$fJE3@*)`veqvej4+!`)-{0KEaeez4;dNH4^&1Jn=d*+&Hr*zoMw!iH&%oK5QF!Mi
zI8Ke8Eoa$#pPgpn@b87KHAmo)o^0{_Ds^DPsRQsjv5&I)2HPh<O()R$SK~Nz@oo78
z$e|gqk?x=P6iz24h%hCgNvc~CE4c<eER0)QTO*)&qhW^X{j%t*L^(O1)0pkSk+0ee
zB`@KW)&2}0*;#QQOQ{?N>PDy9(_)G20RN`5IuS7*pl7c1`G=vecS>@@wmyd)3KYz%
zO>LRN&H1fNqmfZ<vIDKx!5NSbpvxL~IedA0a|NM%@VJif=YRMr<R!hYUl$VS?F>9;
zBs{`&j4^tvc@u$Y&40?#HJLCizuhQ@k2|&#pLWR|ZIzzgx36DTHJM5l61sKq!iLO2
z?RA>4aho(Q<S^#;I1a}j&QZP&aJo*Q*6X8v_rd$rIno;c7L`5esCfw&N>Vo9&&H7t
zVi8^@O>5jay`XT{9nD7fF%9x14F7w_$*K^*qtP-~GV(SED#KOU=BUyuJAB<N4?TH!
zrv==Lqp$MoYrQf(<+JXATS8O3pyuM~SGaC#B;1zBp*wBE-Nenn(wDv5huorj0jU`o
z;@|84GE4F4*PgWd05Vys8t&fNu;5bG*s6SdEQy8$^st3Og0%^BBNkQ!t+CQrL4~)?
z9)0O@9II*ZtwB&H0%m1@+6&<6Nrz`L3W1&49F8pTJhW*(f&m7hYS&GXvh7&b^boz?
zdwY}ebK^`_EIbl*y1_w2UIQ+|nY67p8^|6)o(XFz+(@~7nHFq<?`)&=E+ft&xIL7F
zZ5}zZhp^cNfSRdK#}dd9+=$5S!f<+Ch8}oG0$y@@xcBU!jSQrQYiQvob@?9g1dT#x
zbzqVR$;Hf14N*=vZ<`ndv|=TDQM@4_W5MJI)jZ1D^juDrr4eI(G(na|?;{Fze<b+K
zP5I8pSK{lI3$0$nSSLf7MrrV}R-(qKk3{ia2>QF^HSTgXShZ&x928Q=-^Coygo|Ii
z$;=Xjkf6eoP9k)KBaOXCW%xyc<Og~3!;*jb8Y@`4oX#byg`yO*_C}~KW<dqn_XMI)
zFJ{e3<a7(0hry)h`CBHU_WeDU@*1f@4SCTvZI*$q4lJ<zr@mQt1@9|y>j;%fg^M4E
z)w7er786$R{j)>ct)vr+%1Bf{rldr*i2K1TH=?<D=lM9Q$PKf#L~?p{E{om9R$6_&
zOIDlPpjf(h5%#Pz@81hcFjGzhkEV%PkPfx^TMVUO8-0|fc^>nn5juLzhg^w6FzE@$
zjw)nje+QOIxV}eM_@vSxvYL2+7-#@hBA4-MlARbB{X(iz_nkIh+Sz8a5xr!<=M+#F
z>0GB>T|Wm)8kAUwQ2Q%jao|y`0ufNyiz*N1Sgp<MA#TjYU3*~x-j|{_F0~h<*f3ww
zdE{@;PN^E&cOzE}T&E@C9bQysy}>-3f?D=SA7rxWcS;aC#iCP~lQ`$ajY2<MFk5A>
zk<Djap@Rmr^;kkn^XoIYv?o5P>0F!)#EByxL&v8Iq{;ZtWlwK-$&YWOMFzIqk_(Ym
zN2#eV=`f@S*gLCO74;hziRXt*@QjS!n-JiDDzCF~2F=f^er0y}2Cecp*zdwk%|qcj
z)FM!3=JwoTpB5z}1AfmMxwT@K7Mml+idV^6%#QcwyFND-HMX2frS5`Ga>F<cTZqSt
zm@09sjvNMg5%7B#;Ic3oIvZw^t~P?f^OD5#775uywXM%yP|VBUw_d3c_JdU#Zj5_#
z_#s78%F92R)8E9meCVbZUI>YABJXn*JLjp~EO^VyeQ2P|(Q}i?@72Br9KoeqSR8**
z9&>4IC-Egg)`1TOLkxI#<Su8smn$a?)p@r!F|{_U*2{*z4TVASL)19-T2H1hg)bj7
zS!Be$BUDKjY6DVpbm}IiwCU0FZ5ETM(awELqKHsaU+$DLT}&}di($<`4fbAlLj)m5
z761ybC2ABp^eB|3!1@y^;i0Ulp>eO$=M;1WMTC+R^_qyzJ<K2Eo?)X>K%K6ml1Wxv
zB5_OVuIurR134$-b5u<{=*xz2W_mf3=z&_M?#n60FDYp%`OV_BQHg2{&l}`16n3St
ztLe==%|%xTGD|1ft-mhdGZcL*JwCV3*;=6ezxKQPD}FHvKJkrl`4Eyj!_SKQqGGU2
zcYkfeTQ8X7dP(PumK13pXtraad(Lg_(9&9lj_$N{D4~YUYK|W{c`Pl97cCZ~AI4>e
zyjWyZ{6<hOW}^KpJD=lVv1OjHwuy=@vB0;8^~(AkeW^mfORVBLuL|B+sKmja<Ov<t
zubTE>`KErhtc~jZCIWuv$t4mTTIn=#iHnmb_SSveY8jy>5VgWHPi)>Ref6+BIu!J?
z_9AgI_n=GVM0;MDD}s+TDSX!cc%MsRw|xBAO9{T*)@*e%`;RGul~61=x57SBJ#KF<
zXwCnq%%9uilHsYZ>fJq-BXhE>$RgH-S?1Odts#X~^Fho1_}dN~uQCg@uJ<!f5v&78
z1ikHV=m%hx;w&`(9cxn2Jl7bleEo8R$^HQUg<M&^vp)QMpi8ljX-!B$?o9c3{B(33
zbHGSy;5#oZs?t(u%PS?_{r}P=r;rs3PG1Yq>NYGncWZ2nva~0K(U9^<jAykd-?fwb
znS^@SZT14j5-2`T1GVH0i65A!cW+F)-6#{V%dUP3OpwMw*iCZ)o7TZK>V0`FweSGl
zp3wX~NPDNLw<t>qWQ)dm!6Eq%%n0Vl{D|Hw`xJgBX3X%0vDvy%4HhW#g>Eusm<riy
z_r2M|%t`(i>VJIeRt(!NPOG@eHa<EAv5`C0mRT9q`uFT;we4L#=zflK?5t2?TtWX#
znu>&{w1UUdEQD95%_BJ~GO|L!<MM-l60g4ejdO&Oe_)F~pJw8mRv4EST_uYv@Dqdh
z`1t6sZ^caX(6GUUUi?i$e`rwL`nmnND>*?5>KrImTS&`{))<+Aya8nmK=}Al!FfWX
z5`qFI#A9BbOzv%qQSFia<JLh_O@|)p9B<|^g|)jZE`3g)7AZ!Dhll46Bc^5qKbV#k
zs{J9>DqX=7hxNU4?_nY7Ut->NK5dr60|bF|hAYNrCdS8}Tq(~=R5j=2T3gr)Hg+U^
zIYpfo2bS77YhTTDQ0JivpLbMbbR!nV8yev6k0fHyPYC>cj`4b3xj;M4nYjPV0PWst
zrX{&TrBgMmW8Plhs}4HJ;(NOh<+OpYs|GvPr=l2h%b+rqL|oai?$Z_)hqt^*US@d-
z!dDx_MRei<_9-S<PTDc1_GFc-6$u(SZ=$REG=+jhmRcc^PNDq(&9|xY`8YeoW<y&o
z$_3n1z0$p_?^LAkg?~FbVaOKE)PYmXHZU(Km=w=)>3CSk>!dY0h3S>U6Q|ZceG-7X
zhmya0m>|iJ#%1Tcao$*<%b4rm{E0txi!ID`62)}75_-!ddd9j@jE0n<ruIxCAIpeO
z2B#eYCJAVep^L7ajg}uONN~%-et<I;sfyos`@@7}X*A~y`sH3s+4pIN1;sqMvT%=_
z$LL$$?8O&BVvr<T0JlL`ULUWsH`ELN#Za7i`In<DEibD;cEA~<5oCJBZ%jKAUqFsN
zWm<|NaNWi7P_CDwgQ1BI!c?Z5yu2toeL~l|0@k)N!w4J(aU${8fnusk*JwpoD~ypw
zjsx(BwE5e~n~JZ@<kSB&s6^?+3@MsAEdT6Z>wP&8-r0MfwPHECun4(9V@JqzJ*fA&
zFj$lDmC(o>6m@Dz7ZM+&NaYlD_v)KJjHin|y6|<(OlKQrD~{8EB@a3FECO(Z!kI>G
z$aFO3U|u2vzJFC8!5sr}r7yKx%ijMe)mbS`R^t@g>!4Kmt2|_w0}tK>PZST3VHPn8
z!}UIkpiXZ)e$txdnrpKC1gG;1OjTQ`RnxF);li$NeutmxVIIJoQlBB&bRSn~BdU{w
zHwi=1MHiNbq)98U=gZw7@f?Q)R0EerPj)yA#6WnVHAmimL|<@OcgWqpqEPZUI<tdB
zLOOGhy#N_}&hPQH8(r__;<ZUd@~eP1E=7tUZ?@x6f>-5r5Zs0lbE?J0KbEk&BD*1S
z^fiPE?R>8`1o^tAtSn*XgtG*n3M60XW6UT>XE$z6rw{RUaeUD_*zabNdZ6d=pB_Rp
z6Ip-?ZO2{fuWe5)sj2Y+{byBFRN~}2W$mf)4AnD#|KWEt@!t+eKe-1Nz_B<&z(-H(
LjAp5ZUHJb1r#@}*

literal 67131
zcmeFZWmuJ4+XcEnx=WA-=?3ZU?odFGknWOh=~TKK1OaIY1wkokL_$KkyF1QY``zmP
z-u?YO=g;}J+iNYa70;aWx#xY4dyFwxgqn&hItmdA1Oh>qmy^<fK;Xes*kL4C@E}I6
z00SOiTr^}QAQgio8{i+oW;*ib%E}N%@Ei#O4}$}_2Yn0p1A!s>>%-8GD8LZ^ey#yS
z|Mz>qcZOL(;Qo3)1o9L-LjN-Yf1#iG&*QyZm_Of`3;XNc@Q~blzn;SmgLgyxrNn)}
z1G1x>t_uW$(E<Gnlf;BU48{$SmlD_VfZ5JMZhrQCGE90EOWqU%`(YQws%NxXqDI|Q
z>k<vp{-PU&w|PNtt>2Vt4d>Sttum}?MCkULQpCyArWNlsxmVj>&3NyAI?MLnBh0=z
z5*#=1-g!TJvc1K3ck^lM*}G&Gz52{BIBE(QWH~WdoYw*Wd73+eT-PJ=Svm@TAWP8w
z^Go=sGR#Cy*|JTlN#y&ZbT-V2|9JC%o^DE0Xg_^oGdv`1nXy^mdv%&6;A%ZxZ`YN*
zg<lrU@$pg&g4p!&`mpc2;L1560xCBlVtv}bFRTJ9k7+|6HdLgTqA@Q9ajy{B94&N3
zn%Av0A4ug0BHKXvNh~VaT7BlB&}Zb^thHup`(I-R!;!<0Q|MER<vvK17;am@#h!X^
zGm-S<DZ`{{seT!Rw%_w`xd)Yi)%NEHZqhuz0>~RNHud9BGJbTo;LB0=Y=!@Aa@PH7
z^RsG5IqS0&z9z;!@iaSA@3+Rv2oAn+V`$YvvUwfIHdBbzTIFF#xEx<M$`g`&h$U+5
ziYrh2drkj*>1dRgg1O9wB3&Z?%S&{H2QdAgX}BD_V@X{QOT{5WX`B|li415#mNGXF
zUo45!n2BuA`-GAutc(`TP`-=%*Vir61vD!2$YqB*tF<n0_Ri-9^6yO6uAwlMzupdX
zo??sMBRGlbedl)LcZ)6M;0W)6>C8(%d*1UpFLU#!=Kr|w&@qZpA;b0b(A{*XqF6o_
z!EV9BYWaLa+=cRmX9e*#5;4`amE8ZD<6Y1m?+Q$XMvEay9dakT(28kb&HoZdad5*8
z3@!5Lh(ALm&Xqg^+Gktpbj^|;$8QC;F2Z1J`Dt$Q^7#efo}=FA(YUu`n>kiR^cwXN
zOx!g5J2oic;vaD)e#=k~riEv3>F!DlVn%<Pb#<~u(0!``sa?Y6&k4Fj&l?IiK=E-7
z=2(>LsbG-(MoioR!~D<S{?CmdlA#D6$mL>?WgzPH2@UefY;!_lWH^fWD!tj&5+_2?
zrf<}07;LZB+%uGT`A&Utgf<p0R6hG@^1s#}+|J<-44uT@xgsSqIthtIa!)G`BN$~i
z-F9dAkB^!l*}~pD1XJ~P#N3V=XI;+Q0z}w0@gdjR2`nuC%RZuh9iJwCqtPRtc2AyI
z1-mL!2EEzx+e0`9M_7M`fP&tbGqr^B4hq&W%O`dx+&uLff41%4A*RL#YdNKLl`Huc
z6J7+nDo+`&J?|09d}$xj^H}TmR~Lv+)7*N3%zHF@owiN+pFI7w>;FV3UZj|Y$7<wv
zE%bPvw~j%po$-vA`!h{0l3T+MUFnMJ7BqTy)ySD#Ry>+b#s78vVIx>^zc*5r>oE$k
z^M^&WnW004U!+gnHb#mRAZ$8S0e$*WG4W@?&Le8pd@-@Bjtp9~8M^;oSiEGh*ZK6r
zg#<h(8Yl~53kZ)%3R!CiI7_cT*v8_GIan%~F&EkviJ(bRy7v4pft-MYq`|ck7eggO
zLyWS3`#Ea6XkZOCRpao{ilcuy8v1#;UFz_x>c4k@Cazc+?Xz0>jo#q{F1(Tp4T!8V
zab*Z`ekV6ixHikbgDE{t46h3B<pT@^M<Ucb5@M})Fe;m?MAHjwu|GRMNhpfa{3}VZ
zNKi0nX?j-W3yZghCO@Ve&I~KvPqUS!VwC(oI`*Ug<-g-!8VN3ssK`d4AyiXDazPP>
zWU#vNaztCop~Nb#hp*&cAE3YtEYS%nMSsqh*u<odUi=uAkL1AlkZa~b8uyOne`b7e
z@9AY=<)(;&QW7*86d>Q}N%WCqGtrCnBa89>yF7@&O3OhuA_HPVeOc|xXzZ|>^-C$?
z1Pr3w|Cd-wL<uY`jZt{8)QT1u%kpJKBQ4eK-x)R@F26KJfLH%U1JaG(GyT657==VJ
zg*88h0L2#~>Hi-5R|zqg%#e7y{~l`YGBSOD;w`qozoz?tpZLGE`jz?qFG~JzfBdQI
z|KDVWT;*h$`hTD~O9ohgNizlAS#uPVnRV-JbrsVV8jB=yAD2COr`KRVQSq!;CF`8|
ze(ifr*a1l~m>Ho=Qt98tcQm7Iq)5@CKb6D(_S$Q11O2{IKm#?v?Xwv#)`#<KCMx>a
z97ZkR@5K2|DslEjLn{yWm41I34-sZ`ug>bbR%_=0m%<pzt=~D*qQhG)y4;^Q^jt9T
zj(HJNIll`GJsgZrYZN{Uqm=5Y`Zu`0-kOii=ZQ>>L?3|5&ip&Q2QE^yMH>2oFQxDO
zjB=ZN9>o}z#)pW^l^y`w_zh|2ABZCzQpSt=v*_kA7tCEg<K=<i1su36Y^e0_@~lPz
zcRX>w+l8K-={kxr$6`Z?NEWODpWp1Ca*!SX5hUXluXNLGg1e3?ow3;KZ&eV3xqeKR
zE&uCcfe$I>{aU5>v3h&q?(%y#odnWku+$*Du-Og22mW`p5ZeGRqzu-MX#5_<--X-~
zIy$O(&$8c(@^>yt!~idB2r;oF{RybQUJCqw_ac)>%m&Tp{&!b%CF%v%wjy4~>l@#T
zCp;J)^EX_|J?{GcR<l^-VmX1W_1d|-$G~If{Y0ZX=rblAs*AuJ0=sa*5@hEI{{}aK
zix1gBC`GY;SU>Dz8{$Sa_8Hf;Aa&{IU~4(n*d5avAa$QPC?LOCAJ=nG9t-<^HtW3?
z$yAZ69HV`tJ?ne+b4C&KBE$1B2r@Ba<T?gh_fy(GRamVKP9~PbbJ8ru*r37wC#`b&
zaoasiI86dp{l)>F>ErE5POFP%&m%JLZH~I*!@jLY@-M5IVUQEq!TKVL3Mr@jUSE0G
z^&j<i)AiP4jJkxqaME)wL&E3IDXh;F&?$!}4E=p;2(uUFu2*?`(y^&zuwZ`XNrttY
zPBD$DX7JbzX7X2qw<QuV>#*C;H0sFbIm~@ZjVpiq&Zm#1Va9dh8MlG(dTtQUq-g>X
zn^|RMlhLi_l8C;Bu-WdE%kYPtrwxOCA6aN90uQNjA*`(yo6*1OYKatV$uKHgvtv6t
zuh8Xsf##9_K_`Jj^FdbxE?vI)*_{8K-_2zwLglB+O-W4Q(KpH&1+fB*Pc+2n=G^Ce
z@lJo3yt=Qg&!K;Lv*({P@?rE9so-g%rV29p7rJi~W$)^r*1V}dT;43`DvQx4Yko0V
zBP-%_mONpQUTbN*?Z3Vmgx3}q3XiNs3zp1G#NFc8J`roeZo7#xJd2Yhvzq&K1A|C{
z^(GAUEMAcn*|Rhhjj*Pdv5Z2Q_vef6j`w#iM>SQ|Z%-RqTP`=t!g}}R_c<5qG>cWd
z_gZ+l$^FhLc~5tL3i7>{Bo??k{;oO=dhIgp%H<ZqpRF^8Kll9H!7?h%68Am(=oYhb
zi7%2WvNJ`H<L_`;cR6e6jVzbD4G>!2Ew-TeuRX^2vMpCUNCiYIDr@6Bh$^!Phg28P
zAFCH<`hfta<GRH3Kfkx-rz(6h3SuStq)q#o>wQ#T-YLrh2cIQkc^UfYX@}OV^dL+T
zkD{a}4-YT;IftZfoT+lES3q#MgWFJ$sagHKT0AR6#P>3{XUjIZ<#V%il)dLo5#pS`
zx9+L8Edva)77kcB8ezLN#$O3R7q{)b_j+C!&W_K~0B=~tLofgRAaWA7AI9faZ!daO
z{a&t1zaKfgSj#CkKl|w}x)@HSVO0@|NiJg2g@$)hW!!Gr&VcG0*BibtY}X<Z_uZpd
zv!RMMjpzv;r`jgYn?+BR$L2z2-}c(cn+q-n!u!l|O2lAM=23jsRdoMO*MT)OVqZ!L
z3_JoiswW*%sfqYX3{^m!-@x2Mz`BUOH2cXm<uUQhUAg*vP4rIwnlnl2QNkmlK%x&4
zLQASD+=I@Mei)>yJfG?><;M0JmtwogylqP#Em`H<7xXvT`F!Vf<vOJ)V)PTeg5+W@
z`fLi+i4r(42nCPcLG@pQP@oK$x#?u{tG4`>Z>mv-j7y7E5xs84z(!$N`_pZ@TIKww
z`<z(_J5lPWE;d$Ejl{(O?_6}!`sU{#L|jzglQHe?UO;td+^!eAil-bl{ULDpmC7VT
zr_EalrNZN>iSg<7<awG+b7IS3+X*iTzti=TvU0b!55$XDgMJ0j4W~en3#kY$-X{6g
zU6oM4o?E3b>*CP)Oj#ATfP}PwSGiX|ZBL9Vo^W?DX_52HB!)X4)+6Pa+rnw!J;WN1
zb2k4A)QI;wZ~C4ad5Imwa|@i3ph)r2F(q74)9Cr_dCyIIu4N@~H<|HRe|eUvXIPnj
z`fmE#>8z63s$yb?2Xw8y8K9Uo=Tz1v{GE|<N08^YX>vHD{N#P4AFd1htO}NQ5sT5W
z9A)cs>hZn*vSe~T#a8DckcZaW<u<zo8eF*taCmJo7M7TQIJj`6*M=xVcI=j$qi-ug
zzDl>L;I|ns#~za%89rF*c2RH*cQfxUK<D{E!9`(u38qQKKQ2#~g?EPD)j&c_eFaUI
za=BWdCM&MUTNVGVR3#Y@m>z;>FTQP6YMTWvwuM|RMzMuD+vSvFt<G=qOxxm4RXMP4
zR6@zY9@-3_>w|7)G8x9&@w1fH>y<+Jgm{}Emn-T|A7o#VHJt>j`XBbtHJ$Vjl`H>;
z9#L}yvGS7Yz2vVAO+EYwZvQOXeb#fSD~8IRkR}@Y=ITszEz^Y_3x0sE&nqDr#EP$n
z*Cevl)lLIu%!SYSLYPD2LTHsT_9FkLMZ83U9_q=}SE^Ukg7Qfl?_^+n6i?!;x8Fi5
zmpN@N#NK=!gYNG=8UU9b3}MJ(Yn+EAdFOk1OlhB{KaAEMIR|pN`|{Vg34IszG8g%Y
z=EGj5?gfxfN?Bfdoo>r#=tK;oZ#KBB4K8;t>VN>96p9eDe3+l(xk~tS7aBzl%}&iU
zc(>PUqHFe>eKg1H4aG!j{GGQ#+AY-3rRIR%!@RYYKle}vsrl~qs>HBxb)z^(rGBkY
zm)f)Iem|KU{W8cy1Q8j{>5LB5o%nNiw`boP3Y!(4MHWX()Orx1@XmUel+tF_%#8#h
zlIbiJ%_!81OPH^X>rp|kL;?5da7E`e*^bn22q%|&fsEyS4X(5MaqkmTdDRz-9N%QF
zTtLN|I-A4qA(HzzeplulYgBcx9oq5UZL$zThxhqn(jD8Womo2M>~(W8(YpTy72JS1
zP;|vTcu=E3T76uj;j$;V*L<{`pjrW<P;j@AsyNv6ZpXo&>M{4Y`9@P0Pb~qnhwI^*
z9^sHdBgN#ZKW>++r6$cS@A~9N#jw~O#bmHqQ7FM?eT}%o^=q@zyTJ0PwA;6E4<_&}
zgSxi~a(eqcOrd}&5-v-%n1SasktyZcNaiGcBuLuU;pMUDkML<#GQXx9^WbBs51VvF
zH(jh|OulA7G71*(#;)y8ZApLHU>`G02owFZOK#M;i&A5N)`w^7)sSdXDO$1iD=${O
z!5QNpGAQ#zgt`oY&UBz&pV4h!|Ekxo#kd3C)lZ>JM)2}Aq4A{*fDCfgfvcM9*RC-C
z1Jb}UxZtRe>%8l1sA1aKRUObycoJ3f%%SC^1Wl0fo2R9iuxFFpuyp>0UBl1hvM^G&
zA0Xnw<hn33=@0}@9iT*+SPR&VTOoa2e?lY}`88qGK+KO=q=ATTK3l=j(#K`Xi2w_P
z<|Gqo$S={;ilmvmdq0k{nNt2uzc+Q{Vo-38`VJp89+Q9hHM`W_Yzu=@+9P<*2L!~S
z7^GfX?;1o-Mm3R)Sh2s}Y}XFOk_o3PjTUFQJ#8#A$l1|rsL=K%2E5~aX)zdm^;gq9
zzd*0rH@M-<@F84PArARK>Y*M@w|fS5@5j`d&rLL^_;}jGlw#LGU~WIid_lA{+OktW
z-PjSolnO6UvJTk#L6FNk?`tn_u4XvILi|>ewD%d^w{_mLo_Wt*k&UDjeE|#g<dLxJ
zgQCHqv5yr#-GO1_ll=%_P0VoAAlj=g?&H4}C6N<Gs4QIPRIE3PnzCEZzKMp+h@{pw
zx^7Tl3yn;OZxU^zFRolZxhF_^h}untj&6&=&~qiJF>xvPxOqtAD%Uj(ofu#5`GY8L
z!j${1dGWIt0_zlb&i%?DI$j+xmX*I;<Da$s>xPIU)jhloE=TZLa@-gGnu49<!|N2>
zh!>jICQb=ghG%Ld_>Uf~B&IDG8Q1!wX$u_SkD1%-f3(cf1m@FV(J;beY%jME!;A1E
zDN>@t<WMur&&Om;m*3wh7-j#R2mfv!=&1p$ptPDw`JIygZXWPhzzg3*h|qtPlHWax
z1Xv@2_&2`4yO_U|o!B?%3p)kh{(p55dOBEgpZ(8KY@hhNPq*=NMxzNiMF7GU81UF_
zTAKwGyEBSlV)D`0JQM_g^3)weoKouWgJIn7a-$fu*FAn$nfxx<zNeF_A{W$GEcHO8
zArb@KB*b#|;qN*U8P`^0)(0A({MsQAV(bUodLLdeShM$u_suZe9Oc{zfwU+SLzLvr
zpoosb-Z#u$FF)xr=X;jrbJzpwnfrs3G_d;winKvf<FQeca=WSBn$BgVfqxWlr`D>i
z@6`D<jw&I^HM!ac^zBUpv7)!<pr4XGd9(yA2sA1B&R{pMp7MY`Z0M6$Zbh1{y`l{$
zc>>6FZ)-!)e<!X0IE9yO9TB*5VD|&1j1m@#-P<t)w*h9zqm4QMU|6_@W$aPO@c28u
z;!V!%huP2#6CI;Da60Slu>C3tl)*cChpNvAc?cE^Pu)Rxcst<WhdVvrDeZi=IcAge
z_(?=k5A64dN`&~6#A4N)!L`x1nl|n4K~vzqK1}I4vA@tx?lB+8J+5OiBz!hw97g)E
z1i^9IEalnmhb>m2AK}wU+6Mgm!|1#-?9V&GP0?2X^1ePyY2BV~a44Mx{5^#zh<-m2
zgFl@!jbyH2t6w9>H+7O=R-ha}iy70qI*m-oRH`#*-UM7X@t7p@Kn;6Kq+)~X%x46O
zb($l$D}jX5`>`jeNzXpKkVofo-<@$p=4iS;ypX^K{Rx5h?fKFxI;GUM4bXPsF}lw<
zbpwqi-#m@B=58U3{Ef&95g-vl6XC4lf`#an?%nMT!#ua}Q9oxwipGj;=_@TWz8g>h
zKaM}ODPnak6A`)IZ!fF(fZ}lB-g@=Zu6{C<hw_|%b7Az^!Ex)|4V(Dt0Uj-%x2FY%
zQCoo8WRuGpv`@*KY4LW?rZrnEOJn$sR(#-w3bG+S08h+`w$L*FpWUwz1bMib8-($N
zIAVGqQS=<f?@QrNk5KHGxy$i}PZt9Yv|Bbzh!GiOS_CXlUx0>s%wxj+(@_?Ez$@X?
zAEw0kjf-`r)l9K7-&IA0Hzk)zus?a&C&VO}eF<vcFnJ}6j{<^>OtbNH%4V-=jqHWh
z>+XZ(Q7irS{%`;!yls=2=g(<!iTVI~`f2J*-(WpfDsxn2oa1}y36SC4!7G3EkD|8+
zua1vEo7&1_|2EsuYlCK2`SB-x-(Us(&+3r7^KQ{u%YvAa)|F&EkI&VU<{3pKop1ew
zz@4_H2Dkt_D(P45m&*-Co=1@}enTtf<A4O2b?#%)Oo=b{h<GKiSz<cSNnn^MBt5_L
zVXGn!p@@_XAQBrsx+Sa9fL`Id>m&76OXnv?GAB`}iC#iEbeWE@#?x;<@)dmsH#4x|
z2(+>>_QtewX-Lb^ehJ{o8UMQ*-6-!aLW|)Gcmn+Z1Lf22fJ<;xpyYo4WBYQeQWoOy
zai{*peWqGG$6`!k9<*1-puD^7wVdTEHlbqj=Qzc_KdA*B6qd-%d=O^-UF%uPUZ**<
zrw8jDgGW~*@FWy=<nnECc7F4;{l_9!Pk{GL0U8>V=;8S@>tiIP3?7!W@Khny{y@2>
zFDPK@nvQgxI`3;@_chs-AaAnj3+y&7JtzJW;Bu3;z({7I#TD0&b`WKF{c^}-q7+0Q
zsE$>q_X&NzQie%|S=eIDv;r(=xbNTPg%aLX@$6#_2L9WN>!Tsfpu!Htey27V#9+&1
z(<`-Gu=itW-d?`$LzzsAmXEc2J%EO%$^gM#h!iCpKvNw(&kG~_Fk#>wn9{G4XO;!)
zG2a$=o*9v~T69l*%BG^pyb&8lDKLG80Z<#n%s5@7S&CFMTcF{1of81dCrV!V3t~_N
zj!*>bN+>{AkOLlX>shf<T6_)J<IG5<SoGnXtKE-mHlYrmE>_hp{O`{EZAD%H$_br_
zE1c*{w!BPI1}fvJnhDGv>n4GE!xt2$`NEjhkS@9I1Qh|~GlnisR(qX8x}_&E&*Df?
zJfqEHBXR)?R=p5PJVMdMS=&e;9cc`ZEN4XG26d=#x8L)?!f~$f;vU$96}j=?M~ghV
zJ&qt3AaV@teY#?Gz65+!hukvjW{SCS9=Fqy?kp`F;$fEiY{VHKHKoalo19FH2|vFj
zeXU#?tbiylt8ha#H`u_efo!e%&Xu}<b}+RXBiw#selOp?d<|BLk&%7@hbm6r^N4I|
zyU_RL!4JclyZMZk;N+X|dbv>H)72@yYnCAE?Tsoz64KI=K74Nd0NSvs&HLO@U46n|
z!q;^c10&*Mc^nDK((gb54My-;WDwq|`!3PTq|y`GNh|+#u+n$OMwg4uOJw5#=Fiy|
z-<8o~axS(E@4QIp@gJtC1=%s5(V#!5i~FpE^{m$>1cHmnGO+)^VzfkXrw$kPf$ks^
z+A;gj!`^_90V!G8dlG?2E(T)zN?{nJ=^vIs+x0pQ+*vC6jNf=9FrPNy2zQUwUZWmK
zg0@-|i=pymr>XgK7o%R$>jg~RcM33OQSK=**1ENkOAYlA@S@g<{z#lp$H64OF_akE
zQ@1tN2bOdPDbQM@QB`vaE@nITGN_9^+-Sm+2toGlx~DY4a7vES^33mI#rR79c|5Wo
z?M%9tbHGoJr5L=gCD$M4ZdmIwfe!;7VG)V@fOFmM*aC0%00(|qpn;mr2}K^wL`{ay
zk!X7kuvu39n)9`TXpftf#Wugk+ozERu9Oe2zL!oV$iAj1Oo-1$aw!zV6wsB&Bm=k9
z4dmqQawsG8cTSE>fz<4$n#5At;b6#@n+oO|F$qK>nFiwu-XNSP3V-`*iy@WIe27eU
zHig^}th&r9BCkasBdLt_n%h1#v6(}67F25WC1wjVMd~l9O}r$W7K4TU`fv2}5!6Y)
zWIGi-7p+NKe?E>7R^e#oQiZ7Dc(e#BEl`8ZeuYWtzLDHn7w#F__H?!HF>F(iJ*II_
zUQTKbzm;)~{*HJnl`d|d<zVaWNhMIPs|a6lh*$^n1`g*vLYfeOXLo5{&yR{HT}+QH
zj=mo%2nv^pna7FPEE{dAzAP!R4uGPY(434L_Xl5y^<YuF9pPWg45~-l{SL^7C1siy
z$$Z9-_^})NN{z-5sEX9SZYOk9)Rs5Xh!Kf89v_EJhMu(3_oQm^OOY06*Di@I#wYVP
z2<xUexjrP)Ov}+dS156dfobbe(YfjS?AL1CP1QW<^l@pJQ@+abb#urg&!lz)=^n4l
z2Ff}?twXXvs!58(f-8bbKK0(W2s1cm^tAmMW#@qfuLQ<YQ()ob3QCp~BejB-88BHZ
zbj&x{%x1Cm0mfOzQRJxwM2IPv(;!l>`Jar-g+$?ttsOjC^XSyU|B6^dWBdk3U5SRt
zIqtm^JhP(wH$P_o&cKT=sBH7L(X7wkM0%`pHp%fZBfrU^g^$CjkWxeZObExnQG+CE
zPPafQ87jq@e;LEgjUUfCK0N<TmOKR642N$?v*qS=T6bTm(PQ*lU!og>Oz45CYh%d!
z@0QzYgGU#BC+a5mP8}s6oFPPp=*zQT4(D}xIKQ|mp=YRsC>b5Z!vkQ13V;#5!avj^
z8p!~bSe;i2NcK8#eHE?CZl&KQAB-RG0-Rc6xXh}-$q*nZvP>UvkcEKh*z(c=dzy0k
z35sF(n>UhfbSlpl@s@%RGaiW;EY_K104gBtQFXUEWGOz2&*`}>mYatJ3!<5#u!>fG
zfk}{>kv@)19yKA-9A7E1$t{4rSY87Ho3G6xksO7Vsk@&S6hOhM$3zoBb(Te?k@IsH
z@*5?Q9lns!VM<Kh5>vf`!aM%4_~G5em0*8PFS(CJ5S4{PEm&R93fHRD#Qbi8=m}w$
z(;u?n5^vT-F^jh%&F9=67uymmt}e49;=f&NHx+#N$f$Zaao*r`-pp*H;^S_5rYTmN
z_=)<^2Tc)d*I=<QDb1d)_et2n+s<0kk9|f-nzWIvV)MQ!EdU~v-wu32fSGQaFvuyt
z>*Eixa3w9UL5BO)d2lzBU#|ZMP;uOx1$dya{yA%T2!{9O;^Z5`o;s(Dd*~5<0KUhk
zqMUdif0LEP;B%0#A@x?gkEHU(Jc^~B?|eQ;GsRjc#K!|&eQ8WnRXC|aBc%!*<{C7^
zZ#IPi%&7rFl0}{=@vj6ztp+GDo##v$>#y0<V4X46>_+ZI6U4QI4||833gwi123>E+
zgN<dhCipdKZjR%WkdDm7TjfwhI)}H_(O%S;F1s|zU-L_JBWFIk@6D7^PHUEQ6Zebr
zZ>vOGcHb_u9IN_O>PW70U>MgcJal+c5)HVX60=pZptcD;hn8GF$v!B%5kZ&TW~S^_
zT5Zyeb2wo05?6(fQl1SXQO{_mINK}IOCyeQdy<52$;%2yFpR{gTGi)p8954+Ojb*x
z2{-P^ks4466oK`kuY>5%)JoyxHl+I5MKppRx`>&^b0Rm`jle5BS%Z=*vK+)13;j}9
z@g-@a%BGyL-^ql%xbix`{uB>F2<gQti@xKm@6n)`IRpEy-;Pk@F(qI7xOfwK&BXjV
zt?Lt8)gdJH4hw4*4naDnVDoSTTAW$D4q}E}mILitt<(({g$JCgc?$`4)=UX`MDDC?
z7>>GBhS+V}(^9MzfR<*Vv3K#NK**3yE~g8=0v(C`c*i5mmp`_b1z&pf0Mm^cUEs==
zt?|9zv!Mvopv00Q-Q-0o6usF{wKO6r?D-jxs;ILi=)5d<-G)f|0*f0^n-<QoL!x&=
z#TgEtJZB#9N=YGF*w&aGrRbKC;5;9*u{>q^lBI~SdNe5biZnj%E%&U7?|!DseKw|-
z^<Cy~6~-~|fX1>ib`K|gAo<%Y93xf4Wb6a!fzo-cD}>Da%?R7>9P)bZSjtKC^<F({
zwH~-*i1y)k_uXF!E%83g2m|)#zC^%O3X1gXM8|eUdH*mDD_WIbXS46oHuO#M>R|7U
z?5tpBD#|8$QnZNwCLl73H?(m0ZTQNtq$TcYYs?O+0n*b%=3zc<`Kf4CVsh>RiY0fz
zr3-{fZr&|m`j@b9+!uK)@u??5x{JByCH8ecabP#Oe`d+X(koFBe<ZH*ue>s9yjOD7
zomz6lGIAH7^HdJCYpcP%-}KS%Fd?TS`nl^<J(GL-y?NOdXYU+*%er`;0C;!-M4+Ri
zgVKK{16zV%=XPYmM{*|{-x2v`UvqLBV>n%~_E}C&A=)VkFiH66)?V(nV|Lpr1*0ro
zFI(%AD>ek5jL2Jy?>YD#WlXK-Y9B50$~Xeu$7y)RFB~P->%OR)++K8i2YVqKa{iZ=
z<*et6d>%cKO5UefT_?RWE`rf5P7#D5ss@A<c@exAE!Be9un#KvIEyT<XA9?F-t*p<
z;GVoktW0S?$sa))v5rzU$hQ<-XyTUTIv$8gx!xXzDJ%DV2y}tZ1ctby&+y)|Z&WP`
zOvWem%aVCgm!%Mf8=aghCD=h7POgBvnTYrbIIv&J0T)s*%gg67MJE%6IYM3ZOfP7y
zV+y;)m*5F~0CCZ+8;2f6WyvnoVj8)KV;xg94eh(mRT!{V6#2Nsza6lmeC_n;Jv5o>
z_}(z<#pFKs(}NpNuBkt+G`g5iy#O^GJ@O^ugQUKE!$%S>z2?$V?zs2+#~VqQx6FDt
zda+inhb1w^?@dNOfZBu)7Q5^j)W~ZdFBGoiBG7uY>JpL4QtPDaf49_bo>^$y@#(;p
zWoP|BP{}6i=v5FYpF3c^Fq$lFEHzG7Yl1t?keA?uR68(I-A$J9^uYUKC53LF>|Hcc
z<xczwz*I5-Q$^?6{*i<uvmm`#MMS4n==BK7iYg|D&q9dC5!T+&s(c{-W@RZ9FGsbh
zHdv@18LR)rUQ@m*{5(dj;=?B6^Ux&*U!D=gw7N)=XX{E_{1P|qn4(gZi%DkhS(4VW
zy;%+P@z_v=CY&OLdj?{HJo#R?$D7-C<Hn9lpRM+4&oq_eztPhYKz-G|D;s_dC6&-R
z%3x-Zss@~If0$qIA0Jiv-$bdooQ5o#NfqLuP~THjNmfWkM||a8T2u_CLWNwn*xKf_
z)P;Td<+Hy>^N*#3Jy?uSy62`46cRj35|kK{vFTsDH@Me_SQJ?r*=3%rl>Hh+NnOkc
zT|vD=%^(rZlgsR_Yy>KX%RgyZ<SUAvl44z~Ha&3w0{NF1dedbRvl@~xB9XYn)EGP^
z`w`+wo|*vrOfD;&iqT=rTfJU}z!=fwAm!-rE%O?Z>rb7|&W1%#N05mr5+0!0WtMr{
za3wK>k$36S7^IU-8FhpvI=(xY)rrU;QqNMNb_3MG!M!V>2S#Oub-`sG;b!p?wKXrr
z3L=e|^P1#;G|@(<=jwE^3Lu<)82AMz9484DG3&^X36P#1QQco)L@u7r&x?w|I~re1
zXZ+d7kU#{~dDv(>0yE&m(0_wjKT;er9y2(_4Ew|GHRBCi*TsLiU`wz-XrOowt7!fa
zH=tCASP}3jXkQuz9R1P$|Jpiglt6g7f0&!~=J!?q+EIZDfa0$>ZiTF|{YLJ8ab~#^
z0DCYkiwi3MN%McbBS{4eal;>G(D1)59RljN_SYb{^j~{55ht+fof(5}`MXZ#w$_qG
zKar;sK42IF-BWSDc{vc|z`8T|W5gWis|0u#;B_>S;ij~{P-hjur3bcs2|-;O%<5Z<
zr%?oA+c+APfK&+9e3o$QQ>bPAttOoalj%5g8RlEh0HfI_4jb}t{!Sc4dc;p53#g8x
zIk~3|LV-~FJ(a`c_WFXwAre243TC!=pDHzomzh-H#X7L5ANCP9YsRWh@ypMb!FjB8
z`kxrSJ5qv0r)x9RYIitQK~BVm@t02e*8YN#MI3S>Xg9?*=Ac+r*}-w4xU?73`avPH
z*(F&l1iQ_!Td)!(qwc#MBkVQH28=yp<EfrCn03)<M_t2Lr1`67b(ZRJghl)-N&&6B
zx0}75p@Yh>IOi`R*yO;WakJR(ub3P7AIDH2uXhGqZ!DO`HrZQTYZ=(`^Rct(=w{MQ
z7uf5ug9bVbAardbSIy>mpY2`-_T7r}Zopk!EmVGe&#8<uIj9&FU=yIY<!NQ-gzf11
z#7X#-LQQC^aL^><MxfwCFHL~GF2Mf-wK`4yFzD$`leome0~w4V;CdR_bw{=+uwD!4
zFH3#RDd*=5px|0;5^FvrWv{t+)k**xT-prz0qoD3YtoiF<f<igD^;;A#pD2gZ<?!h
zF8#lwBQP0s754I%vClT)X7(CJbBs2o_T~&WL<CuWg=j83sBC&zpCtb)$X|;cVFSkv
zxs7c6ZzIcpVk;0I`laIM7{BZqzh57a1q`)MIjQ{r49);JV7rBFgkKP>`=9X-gUm$^
zI)|fbH|qb2a~vRkpv>b3?+xR8RhW+fV&mzg1z>fvS3-e)vJFH;gAXsP>|%02bHJea
zX4LIH|JD|F<tkTy_3z*Y%6Gh2Monf?LcG{ptW-hw-J>DVoEo=-#ZJNPDoH>UJimd~
zr*8$aIe-ucsMEE)yc+5$0%V-ic)2cM&j*18C2bnP&IjZkb$>wiylcI^Y(m%I25i$#
zGQhxqP%7R$%E9+BxClG?gATy<{*9=)?!zQ*j%gcaO<xtf67d4;f9ECGPij!d9I){O
z*ov&Cny@zSe?cVkfcR$M^w(Mpk%{>5o$Z3kq&v!HzXmGvGI)Lk01h88%S|B+ykk3W
zb`GnO`R78P(12vZ#xbp!yASsSaQDXTp&@?20JFgFvI<qD_?58Q?50Mq$(g?mqT(}$
z@9_RG3d(Yu+5jNCapO$}FxKE~F<ft``loZ4bOFN7Yd#QhFoT!PKmzENKLxV8z5r5y
z*KxiLQ{;ReF!!Gun!z%3D(a%dWNIf<{(}+*62LZ`^{sH$jh`L>Pcd}EAO!%kORAsF
ziZ|eC)x*8`UXbA*kFUb`0a@4oC}VCp{j<azsEa}kw_ue3ms${iQk?0G;xyQkuC_b=
zZW_2Fd_j{FOTv#cabR8cF7(5o-4i`!s<p>@4ded|-dtm_;n9~?pW#^Izy_1B>D8mf
zO*S~pEkiDZ+xVV(AFs#R<}j;f2_$KD94RopODtDS7IfWA6jDwGOuzq#Jl)OZM5`ZQ
zP+6On<AKG;2#AF$JYO~Je>B$|+x}^hfLdk>68PX?Z!(UhGc1)%v=JKq`Wu<vR)kdg
z6+n10x+)5pU9cJt0pf74;nT@G9o<R^aOMc=3(C3KwkY4GDZdQHRVkU+;R0X2DHyr)
zk1G6!oy@&JdfnhT)957ZeL4etJ(>miMsMHRp*z|_<@9{@B?kDJ)`i*Io2yrZoV1=1
zk3<%tcV`B(1QRmS^|FED09Ba=xF?iclh*1Ej(Wd0rTk-;P`?JLnop2PPa)R|SqMlE
zXjR{2h*?^%wRzTQ_3rCkIY+dF9O^j&;piv$pS!;4d@;&pOWxWQ;H%~FwehO{RBD|(
zGCFoW`jz^(@7^37mA<ps`sYl*i4T-{uZ5awxb)X;r_&CqCG5^|B!gQOAMHsZ^q=HK
z`+E%MidTQChn3IP2Ip_4D!M9wmY&+Ge8?zY#Ycmm{z89SuHUL6Lts)wmvyu`-uHhT
zbP>A;>LoE`K#zKu8tzBx*=tD*%E?2ZZg<OkdiV4_O1l({5>Y90#(_QH%D0^p=cJk&
z?=FV?4;$nSNV%=?iVd%(CLCpJWe<R*t_JLdH$r1Qr#;Sjt4Z76K@0ikbi{8FF7VC6
zDuCUf{kVtMoX?T+3zG-5DD&C|o-}=J<yXEyvp8&s_FZ+ruUI_H;;|!I0nBWg&$n%M
zAWD!gmCu6F)y}A7yzFOM(&721o+@Ss;`e=AwE--PSgz~VII(@>0+2yYf$}2*bKOIi
z1E;C>&UQgD*u}4}F^kGS!|NGT?6zzLQdcb|JACsnrttAFFh5oUXoQ28Ra6G9(I@r~
zb_PHdGH^qL9Gj^F@hPghh-}z5&kvTCegO03BeTUAUH_{QMYb`9fJqsT{rS%ar$ng7
z7vQ!*-I@{8gzj8P-{w97-$<<*Va`6-)^alIT31sl#G;i`UiAk5%t?fxxNyF#NrOv|
z5JOUl?Xz*ZQ%PkHtcHpuHo!ClW+Ua&wep#JDtPNW;2uWFfkruX-V5NL0qf_iJ@?7C
z0AjvIEs?$l1QpP$`DWPFZ_KuMZ}X_;{V#zGiYFf`&9q!@4{}w{FwiGovYJikBM?6_
zm3t6hRF8*%K_b`8aZ%kBOL_%_2B7$ld!jwm9tX5kMlno^PDe(oc;h9IU7)U*L`>1^
z{bkk;AX1R0toEl#eyT9MUL^4Rz&PK07`;gI&yw|9F9CS~fEtQz{ziHEs^+mLdK}c#
zck#GUuzmJG+2ghSQ3Wa%V(S*D9fZ$1nvz>|e3!>38dgDlke+iUuqH`}Z>X&Lg2I=E
zy=)q0eq?-#t74#>jLKJO+5l`Se_-M;1l&Ocu_JtBF62PN+rt!4HFm)fDE$@hwJi5V
zad7;PX(NU35OC@OUa3MlLqbRWKyX#dzz$!_&9Si&yMf9-N`v1a+<w4rSiAX`5%E%>
zfu^fUD0Qie*kSuy0b;sPgK`POXtVX!oY!CT1=!a?Dd+O?xbzt^?NElG+3ifv(dxlu
ztt6ebm+SVqbl!J_pC2%H#|tD<`2c#&{RD#fgvQ((nd^RFiFZ2$s=b1Ar05CKN#~7X
z;8;D_lGDIf)5iLV`S_jP!A=0oz4|%7tLrE6W&*DuGB>xkXRUN(8BP(7yFWj=+dGs?
ziU6TW1>{g*AT|VD0g%zY;Op7OO-H9o43u>ZzWeJ)V_*#(`|~g7Jx6P^x8eg$#NXPm
zN^Z+Xx=0$>8c3ddI5zA`UY%$oBhvbT3I$aQ@~bEUA3od%soKDG?C}Gsa}L7de6uhT
zXC&mzo@m!w;F$z^JgJ~tbjtHU@AlpWodi8O^E4HM&XuT5s7Ce4<KTIIxvJ1X$NTZ8
zOp_G4UHnjQ8Wf`d=R7Fzs6B(O`=1f%Qc&oK!<<c4lcqC(AOql&S{Lx2iSQU-FX6V%
z;KS&CRBXLfYSIo<`Mfe+W<uBec@!>;9lr1p?<Wr5sU_Ss=Sqdf=sStbbYSxUkc-_O
zxIAd7+gLyP-)tGi<(_*S)X=6})jQ0Q4S?)#5lhIqTK8S09cH@Hur-mvHmM`7wBK0(
zXvj>J&5vxog6nR-z4EIAcBQq}xSM3a7@&=~4`lKuob;@(QN{A**Xt4SS5AF+|DV0x
z8x2W6t;d{=9U(Aejh%URc`CcRI>@DU$ls{f+=wBZ8z`$pLXfmS=zFz=6&t`Tmm3e#
z0Mo^W;MsF(b|87Z_Ob@*_Z3LMu_@eUE5J;v^Vs{FG(lX?MJTa7-_7xNP4pj#sZ@{C
z1Uh4`fqlD(5xXr|MpJ&o%BK}L=H$6c4)D;U1=Hc%mn#Qxy?&m1j`4l?k3_3x4)^*K
z$JE92y$OEHc>$-F;^T`;MOgZueEh19&yKj;#8>jeE)d;0Sim4v!@gQ|us==52r`fT
z2|XLe7zu!CK3PKoivTPfS^<yu$>x0)6Q@0nZjz%Zo63a%nh@u5ReYWq$99)N{xC7K
zC$qF$z~T`hnd+nEy<II^BhoMfob15l;JPtF<B2>O?cfPKeE`}S-O8;lKTDh>JTI>u
zd~QPB;n}G5!?P&#Nb9eJ*&7eZ>$8Zx^dS}{sqaRgrB>n$|AF-*Q}AGOtktjr2E%X3
zbeS`fV9&{s0hb^Kt)lcTM$zET0H8HN6H@oI-gdIlX=&;S`L($nI5(UVtnd7KIaC!(
zZ9Z3QNsZo{RYeUj+DfVHl!}}nK{6mM%e3-#(w{;#qg+p<*BhIW-yUzdJC2Zjyrumt
zAGI#s_)wSFR?_hzR7(fRDm1sDDw%IX&))HFmL3MVjxUg2ox#xvGwP6jzvpxQ7XWDY
zn@TPzIy7Kr7GEjdQ%D618BA`lkx>C*y|GwF1CVeCIg@`gE!WwkpYu6)6Ix?jVLWPp
zNx17s&&=1`mS?a~&~N#3y?o$d0D7SP=dhLGU(Ku>u&hd*cn_LSBWT-=mV`)1>L1&D
zFSh^j4$*jw&u@}GRmX-AIVW~@RU*br6qL6(+>%Jg)4!VRzf-2z5iZhZO6qcn-`fcJ
zDiq71x{D*V<`=OJglWDfZtV~78eGCZvd)XS(ZC?%@q?};PLyKcPg!1(rzoAXsV5Jm
zH|yMcl?^-}OnzG(Qfp&DDrPYp@q(7~eRGyyX9Hbh%>Xr<%Lf8J>Zr*w={I(uw}3Tm
zL3w)C_?eh<=rycY@3p70utjL&c1+3xVN0XXc21>XSIt*8chJ#;W}cuYXc+BxiBV&K
zd;O8}lut?o@nqUIAxFS}_8ob1XRi9ag0PF?Ni;_aaM6Eta)AoeSf^JsFps}_x!TkU
z8hvY%5(ztLE6k=P##b>?VLCA8vq08*045tE>{!h7ySO|}6w`6(!)W<<y!DEbxtH{3
zc$Ocr(EaCmK?Lc|!w+z|9D}@%WWW_qgIQ63{T9H#eZ2IZupYX)E`40DvwR+gW^ipi
z_A@{u9p(FE`P5lK|HZ9dGjJLt3V_SM6&2t4)sTw8(nwP9J#*ik&Y54M57is?Iz_~Y
z3gkeh+c&9z17Wc+jAMxpYnN_@hxo_(c3)~90F)eV8+=?SvYOB_i4m~41^$Ru09L_K
zfU{nv%FJmGfS~~cig_Xm&>yJBDbsK2)1ms(VABTxmZ0eHJ-1D^7oNlZ8N!(Z$M)yG
z+qQ6nQ9jy*^wpfao6-)?BZw0om^qXW&d6z^`sEx@qlLp~d3s!%b5m|Hlx=u-IRUje
z@s$BPs>zpN<V@%pgeb@-04<?-91P13RA~`l*hw+GW#aJqUaaa5x-E${Gy>Tk4G-W5
z1GPr?>FLgNLnplB54-R}%|gSjy{VU<hvZ+VA3y)GL*7h!>{t_M2F8*Jz;EA%l>h;F
zz7J;r^k=~FU)<g9-FY3;2S`Fh`=Jf==G)@a&9Som`l$jq>fvoT(A?k%HK1JqQwRnT
z*E-;-Wj})>D%Ri>^yg$?!<w+d)8Mxp1+>l(=mCrTwwi@ag47FSq{}oKNPxKw3{CYh
zPp6g6%}2$#(iv^(_b04fnYFr@Xp#_u2xbSATWD?pp0(|qKyX1NxYfa|D}Z4akvD)d
zixYiv-FQD!AJ~|I-OUpW4(b%*`Ovx&E=?lnwoPb}=>!<%%K9nmn7v^#kUj9J0}MLv
zDTy5dQi@{<K!~N*-58#!@F9Bc>AJU94dc*zYSxz=5<%j7{0;AQ2Y}*cnNz@d_xu86
zT!qsfE6{o^jS0aAdkt?k*`0#pE#_El#s$v~S(a{Ns)w7pOe=NY+I_V1K3j5a@6)7H
z&E%!KifLkzykvTq!@-v9k^%KhB*FxKXie-hidO;t%&)5RAp`~wguRY|Y4Z_4ch@Y$
zKCXc10*0Gy(6H76Om67-86JJNnBSp;(giqB*%zVyX8>^So2~;nYXNG=0?77eYx5ov
z{KmKnbgGmASWv$NRFIef1|z6?^ZGN?^x-hT_fp=~D*(Fz>ff{Me`!4PHBl5Co1)A1
z$nTQJX2>dkr68!Qo4GPkhReJ+(y;k+E__pJIHuaA;W2`b!>|`q{kx|az6W38V({8t
z;DC8y!r0=yFd>UMQ^@@a&05zmR@rdrL6F@6(B9aC!!iBz0iu`dR5MNQb!8AzW-N`H
z34tAAL7P-`BAvdik|%*kZAkUUyx$~n%>bKpiGcS5?t_9?<^yO0<Le&|Wm>MrJru#|
zn2V<CX<%&tZ4k791X`4jwY9AkINYUn4QJqc^4P${b!Y0N7>HQnK(hjHKo|f4Ft0^G
zMGy&pa7CF1oe-r@!J*y$68T-KyQ#;E2H@0ssp=1Ug;~%RyL^=Hf@0^U6ZlHxyv|0Q
zjV6wd=<n*EuaUnKG|j5uHbu3G9x&u~cxv+D&;V?fROoy!HY_vXA`{!dp4Ij{9W$Sy
z3?r!lYyGC;kT}lOsiYSG*4m=cJs=}RzgR2Y6xh<T6G>assWSRZe!GwOkQfnz#A7*5
zcGaq<NIqxa)9%V$%d!09`V7bI>Q#aF$VNo_#Ak&GDi34O_h5lT{i)9v!<n^KU^&-#
zxDQpP30lwLH{&KuefFwL769es4d@2I#eCsH@<vYR$*E3jhJbX^DxoOU;}Nv?aZf~L
zul3Gvd<Ce*9~N*b`{iV?dRs5YD&u`=+w&xYrbKuFI@$AC6MX;7Zqo~oEd%XjdpP3U
zq6@{k7AC0Tn`hBc!;flL*Z3-qT8oO=CdGRKZx8VM3&@V5UslAuO2VNh2CYSnXQGM}
z?0_=l70jfvi>x%)>XV0F7j`LnbD7-Kx@I@iAl(`kL(GeIi*x)UaYL(igl03O6_c;8
zc6e_u#%-cLeRWH45&(!@RvXt)nSMzHIClVBX3_i&cpN~9O9iq(Q+k92<@N<QLM2^U
z^91$|xK2G@1Zfi3T<o>*WI(&>QQL6i)iMMI?}ZS8(5}oH)&|uak%dH+e8{R|LH$>3
z1LgQ83ho)eE=vqRB|d<~Mjsza&?RUWSK#j-pKLr98GClg&2uv*>mriz$lsuw$Ijm8
zEGABq7Jbfh2$m>9q0#_h=ALitXZuhsv3fU}z(wGFW6ie6qrsu)faSx5p7X-t6bNd%
zwrv4~g=M&Q7+=@au7~SLhmE1vZNkt<E3J)9PN{{YiXTTS=o>-z{Th}JzFQL+PZY-B
zZedS4F<uhJ2D{o;vxA8xKNk^`OvrU}lrLn4hVo#9>Xi_VUX6JwH}=5@AO=KTR+Vb3
zL(=J=^V0~6E9rzp@lA@V^8mHXW}Eu)Jfm!Byms0ERe<Ia&v_z2Y%9^l@yjB`RaS!;
z2FaJzUg&tqx2KzGD+RR5+AX{9tHI`Cgwo%Kg>|(;$XM1_pApIDt*Ez<C#4u#Psa7Y
zujfFew5yY{UfZ-xH%p~~r#A1BqCHLg<z8Aj5jbks_|mJUJqr23FJdK@WBMVIHDso1
zl;ZBZCxji<oa>P$hbW5tc_I<LnSXO{qZFx2ufxZAnQU&GaYeQkF2K{{$hu4bs*sR4
zOd@#_`;;V;%ozKT@1kqOjhIN1Sd#B6iS0$umSSbB;AfNF83&CytjF9gL~9Z`aH1Bw
z{Kat6o5N;2Ccmch0SX<WaRffP-tFNS9`jmM12}d3e&FT1AgBX!rc4hU1_0c!q?ZMr
z^X}tE>zxV@ZNd{{i#zp^ylN<>oG-t?cM56R0ZbQ}3Bc)B^4F_L{4jph2b!TqJT(uU
za*r2-BSvY;P(-tzD_iz6a5&#XKnp)PCx_ZHs2?i2n9#s?EOSrj2gyF{nCMi5W*unq
zZmeS-*Q9XURrSBrRLjfEZ_{NTPu=lH!ce+>f@-or*)ulw)w@PA1c9ldaS;foss<HM
zZm^<&%2#n@A=B6GToQD+cOlsq)KaghvTK+e6d+VhO;dof)Ndi(%Xi#I$PhX^Xl#nY
zKS+Kl-THlPXo+hwckoeM7{D@X8%DFB)~H)}69exT_}z=M4ZsEv=zoTqTKAE|>}K;p
z553ys)s`Xh#B?~6Ewd3P)p8BW7{p|5fVNp&&MjL7dVaE+?O8SgeCu&1%5-U+f1dt6
zCDEL*{DaAJtEnJ3M(C1#xr1c-sbi%A4_jZ`Ikh9k9t^)$*DG>WM)em)S%j&FO7lbh
zx11YUR#m_dn7g8uTKL>=DTa67zviP%1w<y)>3DMtbtfhR@0l`$Y!>;&(-<4yBQ#RB
zg}1W+d%etm)1dF*Xd5wVVNC3)iM`Nh9dU-bN$?5<2b-LM>$wTaq(uY3bYYI-t16;^
z3ypT!8_tv5)%aj!>UR<a^GxuC(2I6u@{9eS1-z49!@WN%i7sqMnwiZ;oDLLI$a@p$
zR0l_9fvHvO0E_Q<SkmO!xhj%AJC#FZJ4{O0?(21m4bPm%GEpwsLI0V7kNVduz8bNx
z67x@Q7m3?u$Rw2Q`nWuLbe0;c$#2<)`(Zr}n?0jdaF|6T`H3`zLgLwLJRGee;1m+U
zT1k;-nx{|(LK8gYZi=B000TUqtErhOYc2J+9#`^H5gp_@EA~1?)|h>>vJ;I)TBj0p
z3a^wwzzvWU4L;?Tfpjx>gX3s|D~X!c8Sp`i2df08U*}<AOpkzdYd}K3`7?8c;_irg
z<s>k}8yKr)av~XBvviZX>)V;Dy;57lbxki;ZmgSbdw)?pXzoeGjsnZKaWVA$hvHxJ
zH!_yi(Niy$=jMsBHy&l<Un2+Y>o8_SrOwEgtL}aHA1~!IwlcMSiG3FI-{G`LZ^2aT
z71{!wGVvh*><l8@cC3=Hro^#52~LVNms{X$t~fGoY}8A;w&06{j?Xb3FA^Fm>qZoy
zoo@|o^5k3kQbR^35v;!Mcq1tj+XUvSy42?09-`iD*U?u0$MHilWG<`y#>T{(yr&7r
z5MCp<>YQtMJiZE#DO2pWi;um|+|l`v!7sf$IP{{h=V9QG_Xs#G-SM`Q=ChCX5$rK=
zJ1+PdHmB<uVaq<Ek+N-5lytL-EN+5tb#qQrD^RF}nz-pXL1}yBovTu;g^ZPw!6j^4
zD6Y)d!8%FnPuR*~<2z}52+$d=;yBpzk-0G<VMKe<jCB5T-ySfKxgUOQfj7R+xx1!&
zJVXzV-6jR`TOyuA$~r;`IDRJesJoho{iBD&t%Qe-SO#_EbpzL`wayYLwY$mX0TgYd
zA<uw=AAAlrB#Bi7Pih<^*jQ(ALht%*Y~{z>3on)HDW8TpgbEZS+SCTRhm-VR=rt?t
za~{TP>Dbm0_p;b)RKOTYS!%ENW30^ZjDyWy1QmlfRn@Ng5+Dnokl35!C`lTO6NJE-
zUO8TAE>fmI{{3A0rj_LFPYGJ_=v(|VokW~oiYIDVCyF^h|B7)Y4RW!w&!4QOelYoJ
zPq;8zWuRidc!7WsxdC;ymK5|h$_lwWy54}QgFoq84<q;EtEA9Xk%%oLidonpGp67)
z??=+UV4Np?_;y3yYskV*lKP_p^1PNpt7#uT+u7z1Y?yvgq<J-arvzv8Hg?9={d?L;
z!T{m^K8xNP3{e?;5IbGPK&hsCqVNV6c0q1CINv0V5Yeggni>2o#IyDfG42a9;VM%)
zx+M}>5+63q!;aFj5*AfQBnC>l{2T{0Rm)9cw4tn@LKGx|`0EI{Ev@i<2X^_@Zd&=~
zZ&cZYx*6#hYyuY&t9@yO1JvTC86Ql8mQmHbV)x*Bunxen0MR<7o#gIYdFbyGaN3u3
z-94A{Nws-A5(=AKMq2v)>m%+)J;w^arY&(_*^S{3t{E#SYZdpW>d?>J?5FKJ>mRSc
zD<)T|JNgPn@3ihi{L?C#3~B&dn}`lJ%cPJ3oyHS5@S_<xK0%&5ulpYv;~&KDMc(7*
z1r9BJT)B^6Wgq0ULlq)sVLX=%+H}&iv^+d_4l4mz<{i|nGU7~=@(tTs3lK#HaOXo8
zv4Xo|TL>x4y~!lEYdQWRS&k7qKK#QU$~TmEI>^4mg)Vq7$jplKNL%QgFS9~Q=I8@V
zC?_Ny5qtv25t_x&ynj}sliBzlFoMQ-cH43Ai&6XnZj+>+czFwOqYwW;ng`^3J)wR#
zpC5<E;dSZyqT1klQIi1%V*5|>uV#C?WGg>n->Dr<xEtIJHDbo6Y(8eqjXNQl=mNRL
z1-OQI>Fm1W#h$>b`%-q*%qBFDM!Nr~GXA(-gX+CgQ(`+>qHabJuoR6dD99uB@MT<1
zM01ebo9x*3`=xCtJ5?R&zNIK*#Wx_v2UH<hJs6vE<Lq1q+}m59z;XKdQ5yL%pgMdN
zRAxOmjC)N|$iT$+a(<Z@;=cQ%+N3GP!MwMpFbI0Kpk?)?Ai+r=i)~?8zl?NkHxAVO
z#t-|zij>FT;rkA71}K!#JdH#9+w?Z&E9!~~9dyf?tt0f;rSOifO)y!(dgjdfYSS&A
ztYdD9H6jnv%K!R>2dHL!A*^Yk6%Y5al{bBmwk<DnCWfa1@d_N<K}36iMKrGmTEZ8=
zMr}mN)Tf)keH>sBkfY0trZS%Lya}cjRqwWj(E0WPr~Dl1+?f|UjeF>+lilT@l*VP^
z_qdRxyO2L81U3g(G~=ZIoCEKP^_*Y30e9uilC?+gdG%ykgeE2kg*qe({mJ?m<|l<6
zuaaxM;Jew<6Nn_zJ=gvp!rnTp>ZJ=ChV4c`k(O>GL<wo6Hr)u)0#ef5Ah`vU4nex4
zk&u!U*mQ|>r_xACH}7mc&vTydegF8b>-=%fb=dQpS+i!%nzinAui)vgTNQojKGjx5
z4#()y_y-FjUd>CdI~cq`q`%8cEofOh9K2oL{kFm_1qjp0jWmZ}DtYFdB4r^k{(HTt
zx!s^Hsb!_FTG8fh*UMWrb&@RX)5yf*S1QvnM~el?3?t8N@{uCC40Lzv(T2H4(#_vQ
zm5j_eY}x~VyEKU{h1=XY*aEN+W(@eJ`-Dh@dKiJ>2>tvxI@g}?+pS)5n=&z{hmWn*
z+ML(}b@rI{xYj{@2CKQ~xmqTlFUOBKj3ULlUL5wUOh-JG)j7XUK9*^`Hg3rG-^g-}
z;i-Tuk|MDOghe4!WfDYozV!RPv^YtAO-Iwz8GbC60VI*E21(pc)aQ?-H5ez!a4v<6
zvR6S3w{X*RL3u8S6vN8#499jr-AHf6%O;c91=`0g$cj0NQTwW-4g|5D1L`OK+oDSw
zS4hePT!sWO8=|{k7iK{oPWkCZ&a%e7R2Tgj5j$gxaqy`qUWL%0E=8n0`SKGHbK|l$
z<|vVKX0)H>ZB|Ct?^<u<vrv`PG5V}~*pE673nj_;p5NjNib)JKS}w$vE4%IfYltv=
z5>%rM{sfrGnp65g6ijuzMJ3Tl2qgV10)MuW-@f@EZTG>3gJoquuS7dtYH+$#{*S(u
z37qCq?aE{uInv*6qv8w%C@$M+Wsxy151zWffUKq%*TV0W89$2w(%z498huDPDVgR>
zHrw^Pz*=C@q#Fpj>_1{ned#{uYC|plz$juT=52qZtjVy_?{Sn-o7dq?fn$zXEi>pZ
z*#aHgn7o7E+-5IbyoJqA<5{S(0_tksq6Z51A3wfhT8BKU55{D&!8?8o4{i4mGQSsh
z7@_sh22|2~)seXU&L?WpB`tM;HvZjXl&u$CUOjuHS}z~O8ZtD<$G7RKj-Tw8kZj7G
zBYd~wVmDUKN|!E(m^c*t>H?h;?OV&nIDW+!dV)7#aFE?_ptjiIPgGx<R*$L`HXp6K
z^M=yw@9CN6@d%1$n-{1o43%Sqi29>pKfv?;?!YJ&1IU#<5HzX@ul>cIj3h0g<aaRq
z^vKt++$=oN{1S(v`^7$oef>rr2sRjhV%S03ya882wwLGCfY`0)`7{t!mqHc3{VzFo
z1AfVKCOuJ=vlfjcyJ?CVp+eHEU5;(+qOAcYN);-fr#i@cn5AFX5c2rGUx%*BnD4yo
z+Ny^#_&#)kJw6c&6q)%_N?l`tDXMYS()&;W)jGw*#s-9un8hKFR~QOK3>+UP)A-g_
zM?}7lr%wT?GQFnwGfhcR=Mc)p9wlvEs#6*}2^>Jo;`hy`qoIx(`1qp-*KAc&pu_~z
z1PL0UI|g;|*fo1|tzOTuZSETEGdm0`9b9!bjPCWf-Q|D1dWbBtu{Ch{So6mF_K<Eg
z^ZJ{~*v(f7O;?32V*UAHa5V>^4=@2di=d0(g)WbH{!`y&ch(H=9;dyMUZ%=igc!W@
zqlz*{Y8aGEk%si$c$xCv>|5$bTdD9z{<B)Kj7oG{CDjWOMuhV#T->786|Zm@gNYM3
zhsnN#XH<S$)@(ED`uwbW2@{=0RL<Jl?J(Ru+5Mh}s)G)b37)l0M&tWvS0d=}4PWz_
zlCOk$^OG@rKjlxIp!_mZ0CR7e?P3P;mb9}7*7T^hCPom#ZFBf$LCWQKREB4u-7dxP
zJ&^&5BgNnR@DM){^UCeAO@Eo4NTTO^AQcdr0gEdj<mX7VR|fo>xF+2bJQ-o1aD0a}
zHgu8ZR2F0L9!(@$^Ld9lU9QgeWT~s+#0hQYTx5{(X0cE4ir2#pw-a6bP5Jbw{d!Wg
z&9GXz@-C=gXPmkBAwsm9h<ub?FeXQQmVBWONmJA>msvQ*?o4ZYf4D|ylzk*b!H?Z9
zn?-D*{1>q*<TBusNxJ>TqAk`;-SmCM773sQ3dp#Ncd@cO_;(ak&7U!aA8;+W_h#(1
zu2`%tTW+g=4S(Qp1tMgHs5}vCmVk=`W{HQ9Mcl<cZ+PesBdhcc<F3E`XCj2eg+_<C
z7ns9}d?x(vWbgfV2S^lG^aEHTx3A&&uhkygSQ`WLq_I9w@n`$-b&)ea^7V+%%mNWR
z6cKS0Y8qd<ZU1KBgHzGU3s&7y7OV2y$i?e>z8fGQ-%HX33I>vs{izo77;SFwyCq@f
zhK!1=L%~%TXro0z+a(Mh{79rDTpAC<ih#*s5+?+36&3kDLD7knA$$0}{f%ct@<%>^
z+38S%;W#*oQkOh(hZGf8+>s0EQR>K(SrO4%`-d%~;00#*>VwJCu&d~Encq{FF5N!&
z33u;j7sWH6KbgHW<Ie(iGZom)zaB?2N~D3C(DSRjIuEu#>5LTx8XJB>$j6~J*}-(m
zr@S{Vq};E38L0%9v&XMyE}ymFF$`XU2uc6IEZ%?9>#!Ak*kO9*RP{G%(Y;{IrJ`p=
z)ihSC0aD%JvJc$A3>2-*$SIUT!paxy*sA$X@V|+wEX-)vBo7l@buWW_X}MV&mFR{^
z|8rsI(Ml}&*PGE8_5UPmazW5uH}vb$e-a2Z@LmSk*C!7X^1o$xosqLwVv$^Vg2YrZ
zEz#>MySadKG+~K@9{EN6+4BOY8~ilS4gk;7nx%Jd{rB4>7@2Uq3=6~AGTMjSVNPwU
zh^>fGLL$!Dx)fVt?`F~0=Xh`P7>l8Hp+ElI&f;M9bl%L#NOF+BwY<F<C@}+L<y{(N
zB<42SIN>aePwO8ZON+liFCnMP&}d${AzsB|P$7Vin*%`kw<IoIE$Ti$$LJ(ps@eO!
zKiqnGj!e>^EHMc1+|>*jar-U>^Z)!4Ad!gSw8=>HLZ&KI(_)6mZ!5JUOnM;kxcOnm
z;Dl!5x!qt1dQw&)#lcju^wD)ke@nk$)q<5eP33^!5!#(|-)6*8GlR-L^f|ukRE4Qx
z$g@a*D0}<t4h8U3EIZErrao<_tHdx4NCP=2RTs_fP<%{KVfK_&hCza8IDo$ZG8x2K
zOc&9xD~vs<IluvRK4)T$T)32?zl}C6IhXJB$E)*qaq7kQ%-+qH$*8v3$gF6hzc^WR
zqiA;Qq8Az{y|5*DzWW~d4zK~~5_!@C+<Mi+eO({Gw(QOJNkmiEmIuwDTv%-TAp-<F
zjR54(4hg_r5zhpCRDfTKHDQV$SQ;2a18S_i3e*wphkQ8qQMV!YUU0}##Ump-8Sy3Q
zNMRbEDNla?NV&4s!VGZ6<p8WW;c#i>6raA#;YTY-FUKbiCF>GFK`MO+SvQ*)8jDPI
z?lGWN?SO#-9`ScCmg(AC;Kl7NpE*A)d*coQ72ZxE@r_U2im!|Dztwu1MD<`7wl}73
zaqw0m-zjXsr$xd-+2tS^fP>)j>_B1IC4x-{iDuCTFja+d?|aA$oeDaty7jOTd7MLd
zSn1O0W}g@fQ(EU~Af^{K_K(NHlK_#(d>^RQbI<3~I*d?l6Almr94CzH@lKT<BA_vm
zIN6z#c=I-kPxBV?xN)bV(D8mj;b%6IwE6tG-rJItqLu$0X%x3s3l~La=dZA5+8Z-_
zOh3}_neD)+NEEYHBy<q*`1UxCUgSXa`fA{ALT>Y?g)A=)GN8uXq;Ne0yZDc9)JuCA
z=RW(zA0uH;@(C~>G>4Sov`_I0z|3b#2g{fWb6}RAJ{Y37p(F~iO;)`Pm9>%e_0_z5
zf7<KXY`O<aL)O}`Lo}}EBh%ixXdC@Lr_4&>tM_)EKpD7r^*lk~!0XFqt#r-&)%j7;
zgf^0Bi3JYgKKSVs&NkQ(W`YhmXMeZ98QcO62ten6vf&gQ!7UDaL7W}Uu4QWSgWuf=
zFMZwXR!%c2Ahp=qFXLfS_yyCe6W}iRH+9`1w+H~5hG|0p7Ma{3G|muYR!Y?KrjPgk
zCEf!2cpDD5+W@HpnJ!3gT>;qNXXWfAmIvceqf?Whjsu1U9%ovM67IeK{X!-;#skXc
zIAZpfsS9@h;Wr>eT;Kc0Bp|_Wg!FK}1#f4N$Q-HwJSrk5v(CS(I^WO^@)(x`e&=9d
zK=Fb=A>dyl0xZ8Vt$$_0So1^cbiZrQYAQty#%D(;OqSX}N>0Elb57F!pX%emR_IHQ
zA3*>!ksEIKx#g9L%O*?y>wo^}0r>M+?*HZ6trCI*3~+I^#oFam8E}{{+eRRmgnU4O
zkvGY|Df<sHi=e3eMU@5K!Ol>27vLMmMZu!r=OEmF)%F}kYo0ocD<0Saz<1Nt_g`uk
zummM}!{Hn`08V>BVhorm9c2~(Qx2fy!yb*j7uJE`nKs05iO@#!rXwR^l150H7H~5D
zShp3-aFQo<B;~6h<_#+BRZ&0?*B8X(uo5t$zw6U}V-QBL-dtAwx%p7_W(Q<`{rTOW
z>H!8kWKIcKvcxC#?jSpyHwc(^P*5BNUv)<VDhdaA-r^|HYyMFt(fbHFG9+h_9yk(u
zjL1;Xe`ZjHg*y8c1f~JkyZ;)1OPNR#A_Do;=D~CR^~p{nK>D>aw8%-^gDVf0fuhr8
ze2Z9J(|;=*!8%@qB1FbyD1_g_(0AD^%dr6l&Vxr|@K!41C$g-XE)$&}t^I$<tN~;S
zR~Vr>yZS^K$AOCfCGax<?b-3bzjKn!^uUzFaUiVmw27b-=v@_xK(bM((*WV2iMZs0
zY5cPQ`M0pR3gk$_)gkUHmRkT}mk9ye|7h={Ajot7Ga@KV%!-Tn$s4sXq(E`i=}G1V
z;N}JYHwPU!3RrMv)9l)Qlh=ejs=RCe|HG+1keN!&F9*<A_#I?{G2-1$+`leC4{q>t
z-q0DLJee2@Q|I(f<U(1HuyzP_z1qLr-~hWIKgDc!kVrMt-muSo{2o{lI5-~nPY2Wf
z1(JeFQq^8*$CR$ab%sdarT<$Za59X&BDy}DFtQz+p-=cc4N^%0wMd5wpB^{Y1_+W7
z_r`$e|D6Rw3*!OLtBT7H(jD&axp{QhL=?Wr{?QFGDH?g5rfp}zWKq9s5F|m8(6LE@
zl^g(?8KTG9(O%gAi3XUCEYy-l+`wso(L_I@JWCTZz5Jq@n%QcfIcp#;W#{JDI?96F
z2`S}2%gk;W#iADR?hGdlxP5OL7@WeW8*7Xk84nPA0V&iSx9w?gc8uogUBmePz^mec
z(-`V=sH_LkXvS}C!3lN<R2x)begSK#CSzqcs|<_Je~T>HXLf@8UNPHAxcu1>X8t`j
z<O&(6y4Y=gMqB-ZjiMPKGdXw&8K0%=Esu-}0X6Xi$2jF(WwvbQI!1d22BAtbG%A<d
zVMr&H10yA1YRE~s?MPdey9Pj)!0Z_mX`)a%zaS45M-2!f2j0X4sa<v=Vc7sdDX=|T
zcYuK3QXqln0UtF8Nt;Qb;01~Z@Cxu_#$--AqDK)@BKM2Ge-ZeW+s!%wCIF^fzz!Fp
z9d!8us;TJ%9wN)(K!_Uuh8^Py2{j*4p?d0K0RRXRQ-IJtvlXe<mpF(Gt*3Arvh4J5
zGESn<dn(+I3EyC0n~H?>zu5kRZ2`2W-Akx>2g+$rZ9$UDD9$|H)9goU(8q8I{!2e2
zgg@%9;!5SE{xWnhs1OndvLx{IF7jG!#)*#cu22buPzD)b-P<kS*u^3;w$+}!zh!@J
zMETcdz3_+m;&9vsbTDSXJIRGfuP5%2zT@DT6$D5IB93WVU}KCyRRP;LQ#L@;vq8iZ
z_s;+wBB$B!q6HMj$&mh`>s81q{~zl!SPb3w@_&*G5X*qX!a0K17VyS_^zY~2?~(DA
ze@V1XQ(^KudCFlFYQ58=mNDd?J^%bZItG>oN%Tc_00BVu{HLIT;XX3Iul}cmEeKg!
zbxQ3&@-IwCN-6U@?z*9HQt9)NOvdFd`7tkmCsOAGc7;LIXYH^5j~qHQ4Mv2+;k-WA
zaB`d62A4@<rwBlV_|pH7!Q%p<T`By>fFo7!C4>}>gJ9CJi?Yp4X0?fBzN-+N3rk>Y
z<9#8K|5K@@A_xx$JC4X&0GYt#R!~cAw^KA7@>&XVUnx^bYGA(Sf65XF`QYoQzV^Ld
z&hr^u&e!3j2cNE!1pLeru=UFtt-DGuB|a*=E4@N5ncltfbu?f6nVvKbP68{E^a(OZ
z`9ED0Xzs$b7{68&bY%ruvuc-)IqkA}t<B-g%gqPfUX2?lAL;5m|8V~K5Ycdgv%&WY
zRx@Uj`{!;3?#W~`^uLCb2Fal7c21JRe&cO79_r!VfVENcB!BFBo{it@;Uaoo-ZYb5
zZlJ)5bh|@sg07~4r|XBkHLNSZ3Z|k2U_I3T(*giijtgrSIcp(MJ;z?>MUi2n<An<3
z7h`?!#$G4-yrs?>Foa;2VfeP)yNJ>K=HF~$)8Bg&DRv^rv#&SMO+M|)B?KUYbI!NW
ziT>ifs&k7%o$Ym^AM*$aE#>lI;<K*BdwBzyNhURb_8%?}4rgf<(~kGQhI$B(#>Mlr
z`$x;;s$YD!cgcIj+TS8p^|IBh{R0;GNzcLq^J+5Tb)i`Emi=jkJ=?uV1m*u*Z>N$2
zjm~p#b|mh^+Y3Lur~E>a9s9>Cx1#Xz?9h#9zx8{liclV(pBJVWuf2X=b>WT4EjV@B
z*@AM>ICP+ao<cI_wEy00?-6@3e78T4o226v^q3;<rQe_XsnNO6C)&N(#w#ims68U!
zI6BlbyLjCQ2uzu!kRG(R)%3r2V=o-0-u%wiS9|gcGk{LgaJApR{E<&xTE0)l{F0)%
z=(7-th9U!};OmsToY84W8z*LX_P*>n{eJ}m%AvwxD$S3lA~qAqW-HM$R*TOnkqF3j
zDKqMttKV3me*EqF#NPaZz_STW0ykS?Mr8HB{3-hnaL0Ck3#R%b5s;?O^vR4rrdYI&
z;SB}qMj1ss`7vm<$oSKy25Gv%tI`ja{4d{SZv@KqWTxxMTqes5S5{ova`bSWTz)Su
zpciJ7#vw~AXC`o&%L$mS1Dd4{E=#E+e(rxuo8kmem+gXuv110ru6Sos&HFRXPA{VT
zexQqlI~pYIadOuF^Q1NfMpZYyIs3n-4&F=mAN=Ey#~=Kod!w(GHjd(^<!q~weNOLd
ztnZqT5Auk|gCEY9(`ulb&lV##)C@92A_n;Ko)z899o1%=zf%U!re$Y~=Iellqk^t9
z-aq_b@SlvhCl{vHbdOCL_G&jwQWjoGvd5R<Cw?9D2ngw7Jc}o%=eY@Rki_Ih(uN&y
zxl3ZkQNaON{^gVN+`RF|n7+6(=QH!Vl{{e)$IC^#xhQ?V*q4-o9YsK~f#zgNVlKMe
zYw7G(&hv-b4i{^kJ$%A_o96Y|+I~Je`N2a@4@C$0wdSEBU|i)0IH2`8)ES)$nF1J#
z`&YlYqPSDem6Spp2S|>-fe41$(ci8?upT^&9Ru&?^=}}M<3O~9LqT-Q1Yg8R3sSRK
z>0p7$O%CQ-`O%FAGmZt$B_ljjk@qZ3baxzQzV+^0g&BYSpYzK77A2JL)Jw-rK~xNj
zFR!h0f&3UfFT)TYLLxkSYPXGyXqo{nF!p^q%?OWYa#$@ee=#4t5-)L!AV420-Xh@d
zFySa+Hg$M~Jw%d5Q?_mA54ZHi4vn9WB7(LT=8=yG<jq^nlqHPMOb6+Y-etM42?^><
z-`ckQOLQY8MFS;y_Xl}s$H7R_DZiNYChrLlM+;^mv}jRwTLrQr;h#Dn#go*<7;eyP
zeUil~XYxn5z=me}qPvj$f9B~FH?MnAqqKIMhJHjc>eVq%Ipdlv>^FW&y0nnK?`BuI
z#RD~acc_&}+&5)kgM_QS04kb$^tDP8(l4Jm89%3)|JF_ug8jEr9E}!td>k7X(nho=
zvt@QQ>&+{JU*1+*&#}!n^*i+`B?|mlCANQ2<{?&GY>yh--52Bu5~QW}IMv{0lMnKz
z9Ylh4)R475xtyXCykkIP#@u@TR$l<A(pHfWKa%F<A5tH<|Jv6!?ej-pxtBanmv^&8
z$fV%d7p@x<-K^fRtE6c9-~42O_&W&(Z_RqVJ*EM)%qlii6ULSKHq>7UknbcF6$tZ7
zUee9sk9U6$xKKEW@fij_bj}mn8^3B4Jn>wfdzamO;*~;K-`Q)8wJB0?v|p0&Sbx~x
zt`6<sv|T7Wll=Bz!vhs@5PnM-Y#Ubp@71F68rtdolqg%`(wTn5AmY+uxzT=}V2pjP
zNnk@sWTwilQoP|lSpef{E@og}tf7O+>jPwl+yWfnu;U?%#6Ri*Dws*R%;MhHO|!tA
zXknLJYP98=81L-%s#<%O7qim^7H(3>v4+VRRJNd4aJFNn9G^dq1b`D#`Ca}7PbQb`
z7x(8kfEmugfC}qq+txjQ_u<@ar@?o(h5T^N|HsRuJtr%bXGjw{DhqPy^hA&TF_$`+
zUjasu`^xWlUZ}fw^ZQM{WxO4(m(drUdL1k}5~3l%uP<gY8a&j_5E3n{_QAp|&nho3
zuPHV;`D|=d{W|fi)7zXetP?LbQBny)#uI`;=ZFT!2<;uV>2KoJ<<mXc9lMHI>TynJ
z@|jqhU-K#Y<&=Jqy5jtDZP;gFV9oh^VL^fHmp8p3uy%~abkp{+4;o)}pGu(IZ)9l_
zKKQIpZ|zp1Q*Ij6pvWHMN<YFS@kJ5_by9-S4%RUiA4}0}Li6sC?f1lFf2QQ6+oa*X
z#%BOgNZ(735Nzc(eE1eFhpmpr5FTC3eN;V7&FY)e>*{LWN_(fdWy`jFQw!_yh;M^b
z8pNo0-FT>;{?1U%{!o96Lz3r1yG03lZfBVv%O+iao`wnwqDevJ!~F{lPFTOTOXvRx
zhE-$K3ddUx4wF{TI_0gPf4;<7qm3w~<T5$Libq}W-e47s+%imA$I{hw#lwZaXQIJz
z=y_Itn;C*eqw-Soc;l_(&B>-fp6^{lcs(I}mLU4PU)bb`2GWC(D&l@VcSY`ZH6E*J
z@eNVlBk%6Y{)?rt2;0>FDw)Xvec*q$O}{Y|W=U{5)5mtxTB~popHP!3-1p29M>9K&
z5w&o^;(LR18WpNCO5V>ilBGx&B7=9j*fljZBa4~W0i2e+`O;>_iJM@pufTD1aP$1c
z115<Lv8S5sx_IQ3vg5ZBl&duJchRHvAxZ^rW33_A*8}m&4P8Gp+RzUv7qzHg^1NYa
zS*8&3L=5cOJq?p~tFiuo6eSaC3F>zy+am^uDy{$eoX7HDY3wv9GYc10p`-kjv{gON
zWHByG*G};3wyc7)&pj_O_nZ-HxAX2tb`*Xlzoy2``9u!puTQ?G3UXDv9xWlT&*e!)
z=;GKZeby;5g^<wKRk<*h6qaHH!z?gmQQo;(y-LIYk&(iMpXs7H8UFsG_7IL<BKRxl
z<y8i2TCvMdFZ1u|cGmVqTl$_CrtX;@17Fg9X<WBxO?}YS+7WKza~vz(ebv`p>h&BG
z$l(osGzuHDuPYmbjs`-fA_UFx4Kpu&Wm$`nDDkCkO!?LhKi0#>iTb%;+P}TFCv}c^
zj)ePOC!d>I{;p7BFJ7n=Y2?*s_4J{<!yuVi1!kCVd}-x^9E%1rMN4y(LK$hr@E-c<
zksxoAmC$In;4}}x?U^W>n~hBwN63Wwc*Wt#U{3%=NSs_iX(?%SsU@qxy)UGs8`J9I
zP)V9Vpa2s54>{$a;4Dbe=z;0A@laRfO=4)fJXyoC6`a*J81Wxf^dc?0M>#a(WTr**
z#1Nm#Ftx{x1Yg>$+>wU?LWj!&nMQl6K0<4P90Udxmw|2axv0?vghrrD?|=1krL2Bd
znu1@Am-thEV$^8<i-}oKzt9vtgf1F1J3;6K7Uuo^p?m}ocOgKisL?<eUsvLzrG?=s
zmZm6H@)vkc7%%GKYNpWPf-+1v_JCeDJ{~SA5U>N@di=Sqjg624O}2^b681Hy$^?<a
zNH2vXIu%Liw_7%-ovXOtIqp0SGpRW>C*zJ)#4<1U`Dfnvh>ywGr1TI5@l10ao#vO+
zm#;TQD(Q!FDzrY|1>qmSni92SJ`mT<&lCQhagg=M`T=ecLxf}i0sIh?f2iSA+fQAl
z?`vxpkEmsv>x#!yd8+AG&pP_q_t}n8G^(r=p{>BN<PWc;OOec+#0;lYIoj2F`70``
z+P;InQbbO<Z>rKj`#RiD0c53U;oPJ47&5f6k~Hd2#Y23w{+DX&Mmc#Ub*#lPiAHz*
zwQOQg*tXOQ-0`{zkmrKH!j&EpLpSJs?&9U;HA_n^Fh|B`kc5=c^X4B(cXgi2{~5>j
z`N(lH%P&>U$tTIAr@2qsLVmO+=gdn1^Cu6ZT1@?^u|$Wf3b}ak%-3u~4Uh8cTm5CE
zqIyG2eG4!%d4He(gjOF!*K$A6W6u7Ql6r9=N^Es!^fShChQAQv%)FEe42Il#d9d|4
z1oV~iK`2%P{UHRCP$nuZ-#a|~$4wPu&8ycuU<ecNyI|NnhAhh3y)RGk!7ifWVeo(>
zr}8W+{Ly_#o(CSn=BerH+D}<5Hv!orXd}eK>}Hdz1B`DE>_c7?0<*w{in%CsOUwQ5
zK`?qib41>$6Qh(Xi!#(;cn*=4-s9q|J*bcfUOnUS8}@$v0Ds1~tUpI+CUXbO@{TwR
zQcE*AR)`Vo4`vdKA$#@Kg7cL;6r=1H=kHFe!;b#Gm`r8-HQV)WeVfc*Qbj~V4`<Y7
zqz65@V3Z;L7=+;Q>wx;B$oj7iwgQXGdP&j!W*v`aK2h6(=ob6S=0xFw!HkpsT2Y+x
z!ECEdrK>lorJm*t4yY5fGWM%H#(2y^U=ghY@W)6!M#W<$1QHOB(Q2miCm{J9a{Fb~
zX3T-_Vo;uxvkNc&9BXRRpm#IQ*F)iY#x6~W^;58pED4}nPn}C*fbj(@xkLjaG$TIV
z#p`BArOOaBi4x@I_^z!Ba#E}LjWU<9%Un-zEp1;+&}HQMa={Dh=~PCcF4zvL&oaV+
ztp#(CjRglVc~M;nS|NkrF57<Fp(EKYPC#ZmG!&ooq153Zt7;=`JbKD)J;u9P$EZkJ
zGLr<@B;uvw9<#rq2nVt>3w-uLipC47cuPw|J=^2V(oXnIQ9QHhgGZ%??Vr+A<6gci
z&|9vubqHFTNb`_fdU29M^?VE;j!#2_st1WJphfPAKZZ*Hm<*p`VFAW+5DMp)kJahI
zNxuhqsjO@YwkH|MY!wGN?Tonh>hr!7J~DD)&ms=7erfPx@2ba+p!jRJVj37CFcR$3
zdY<I%5SRysVlip$kG&R^DFP~!S8_4<7Phv+uAAyHWbBnvfT5N~X9|N1)y8=2Rap>Q
zwux$GUZ7`}!Z$DTEK-^+N+ncZ2YTm_c(*ualY1|)BL*`YiUNV|aD(N`IM4G~;mL*|
z+LOg-2@nC#D|CY-X`aACLqkF0$!@x813+$VZEZvDZbpKiG-1*hU!fr^w0s9^_ydPZ
znP1(>F(#<zTjV}YK+PY1(+egJTH;_X;-~A~Q-X3baO7ke<SD)Sa-EY5*Rg#TAr*&0
zhJ>sPBk<CE?+G44RqC!GhSk=`A2{q@-ci@m)Oj=HQvb#ggD-aRy`kl&TGgyn*5v6G
zW?EpY9f8HgyFsxyrHc+nq}Ip$!lBk~@{$3)JnChHc&RpykGC=+Vm{*)WZ>dO-^Lz#
z)lG;OEQ9iaTpPtkp8w^PVY)zsEvds^dMP;ZbkBeS?o*?p;=*&FJ7ioU4<M(y3Cc=V
zg?6E^6Aal~?okQyVK7<@m#1EWL@0c`Jn<Sox3(P)7!7WDd;co`RIy3*&Py?!zYdqN
z=ozr)WdzYE*cVtmB6!S?;j|yFu2=S>{LGK~f_QF`m*tf47Mu*z)7;a0?fePv!vpy0
z>MFyt$2zqRMn3uy3AZkHVi&$}f-K^CMcEx7M9FB_07j&a1Q9CUIuR-)>Sit3vyz=`
zs^rBKi{kP@?15d!TN|DNH%SDOAz5v8b+!4kE3v~CW>yF-U75`k;E-GsmgMar1oO&b
z06y1{avByfTnHa=@p_@XFxKk!wzY8Gk3G1a{XOB@Eb96M<*6h2VZNvXilNeF^vLyg
z>q#kbLlD3OkyxtEedYS5rY2degd||JK$sAfVmKs5hYnX9vK2CBId+OW%?J!X0c04F
zG^nPJ*G-A~oduAS7g}c=f^rwB4r_iId9bJ)F&LhKB~0!9-}CmIK2v-Bd5UU8{sW9+
z{f1)@gtcSN>2XXz{%tUf4BYP{{&_5a?IeRNjI0*Qq#?m#24Q7oeWX>274A>5e=DgT
z*i>BjC?+%XsjDW-Lx?I<*|vkp(ns5`_JUto^B?oK4pI8Fh(!u)D@26(KZBJIirmYU
z$}EGv1hmk{O?M_?*k_=GMuNs50r{n9z_-3gC{~z=A(@P_#>O^P#y?R%L2GAcyZUZt
zoTsGdb78aVPw&Gr<QZCy^XGO@{{6`jPc{b8<Z}V)=!k1L&eZZ0NdX7JY(wv#xh+Ep
zA!(^mJ4lxrv2t<s0cTn1>UQwRE`1S|7$*9@>qAH#QWUf08hyy`A2(Rp+vht-NCXra
zTkc<_mCx!kAe{`F`;dK<d~rEbNt$6OQOOJS$=}qrwlAAJ1xgLi;CBV_Vm5_^MfU)2
zbhN8H2&4DBPO(yfiYpr;api7X2w7h5bU=#(NXB2?js-+9@21F-8{z=ziGsKYZW0qX
zVB+9_(WVk6JwR%a#TdO&+3kCZSjTTR?zS0*+XQ34cdQJ()mGC(F{tmUL7gNQx27ul
z;#n&@^OaI~9Ts5|c$Q9@B`>6~O*<pVCyEl9dY=mY*?39tQh8|foE9&b5iYdl{^6;%
z@yBweqkXVnNdzj7T~@Ki-e9;SAds9Ul!DSFpb?e6b3YG!b2<7MqbW0KZIJ>}XVyU$
z#vvhC9b6v@{=yj&JRT)b>@gR~b`s0QV8yDpq*M?j(T|{;4WLLzcD4e0avO{Oo%hc3
zx9{N%e^rGIli4muL6U_AGQ==A`}%=;fH~Ku$`ri`op@$L`5<0PmQg4y5~FPA1mJFE
zhxua$zP=|MWc_o;hy$17frE<zG)p=2w~9#tE^xc8p3<3yUm{|X?e1y*aYcba2EOjz
zvXup0^g~qarT(gr;&Gf5VI9g;vb%z)mWyQr(OU$6E-hR*A#f$~QRJkM8w~!*l)<qy
z^ttn&|C&VJP#0LezJE{5B`|B>sjZJ5{PD<XAOhglNxfBI_5AN|T`*;DCG5;vz507(
za)E`bJzUeKM`|H(JlMdexAxVo|NdXPXg;vpo)RUIe?KPw4(Rg6w_ItuKZD~kK%S!W
z%U70^hr*~ZvDO6*XEPlo*hyYY<u8<vXM<Orhx<)~=azwf2<$s%;_Z3Rt`B5Qr>Cc#
z<};px&;9+UI}z+yC&n1^Kx4rlNx$@*>zFutxVyBYH<vA=<~;Ij!TWG@N{vko6OY*q
zqI`>*-yw6di|*pDPbNuo2OJ*CAf0g%DVopF+b7hQA-^+VS5&sb^;TWvMee1Ha5Ps9
z*Ba&23@x=$K%}1TZ@CC|ol3yz!AWBw`ajdag@<Ew-%7<3(EtWDn4#>Z{d$d8M9>9M
zwzhDSeQ@IYW8X_=B9e;FLC<qw-`RG}*!rOi6woS@d4P6DB_$;tf>0ech?IP0W8)QI
zhFAb@I>;UU+T1jj85$j}a@iOL{7d~Qe4mSpA6NT30g+}&16?WTukCyUIio4FTKlxn
zcu=L*>~i*f-rZwYW4_2Q<NB-&<`WF_#ms~k6%`%K<i7@5v0m=JI}a+Vw&oizKtlVe
z*RhR1hQP9O0%si7>{u?4<G=TIHy`THjE#NSKD@i{zPq1nKKrW&gqWk_<NK!}F+6;H
z&7cSmPWxU$Bq{FWtHn|_AlEDq<>gO4C{+!ErDN!6JN`IrSrQfAIDY7=w(g`qGA-m<
zZ1-0u=wO+k{tl2qSHVGgy9iWuItMT+Me2jov=fgH^hlL4lLw)i?h~O8byCR8((0%&
zzy9*eq`#EsQFXDyUqg=E`c-J2Vp0Xj4}wNZ83N8`XZtIqV#CW00v>yYy|vy*^G2r(
z<Q43P!tIUMO^aGhKIP}#EJ*G8H$<^gCd$M5S1*MjmnB94kH}91cU`vl@MNtoiVkEC
zkzP4E2wfZrAT|9yJf4eH)MLeuAIH*VJCQWoybSAfRl$DB@fG@v<k}~NFOU8+7`;s7
zS6~5o?Pf^?UH0q9Q$ACG>!ce$8lAsF?K2!HqW=j*j4vd@O%6uO>+$|5crX@xs?z*q
z^ZwzlXbIm}Bo>)KCJ*tVQIs)b?*L!>mF%KJpOLb4PK?+Uy6I%xr?5ZXVKB@e0qTf7
z#x%6hID2SCqYHs`g9iiuA@UR*)<z6Z#U**k;|*It^&M#|k}gvWOATPcIX#pA&(Ae6
zkX+JDvkXegnlCiz!AEl?!C8+pQ!~MXtKcSz?1!@J|6Z}zyV4?fr?jO%Po5&J8C7pP
zZ2Q0gVlQ0FL#Ww{@z<mb)4>qPtnh52Y}ak6h6bd$mW+ovluN!6vseTpPtiH7Zf#T_
zSNG0;s4;Lu4?WSFse8GC^}em=KU@IRm!EX%Tvz6oyeh|HrvHit7c~O`p0hF$WM6zP
z+~(yjYU04r!$qa1K`nmv2JBWmX7Nm8<o)J}$TSTDwS~&!{K5r#R+)I)*G5<AM>;!-
z{Xl@o$-G5`r5L;_?k|x!O=*4RZ0)QebzflY!`NkX!KZ?BhmJsy%<NAS<l|K5Rsmw%
z0pj1GV*dcXCL4q}rl0YvKUYmf@O=34_)6GipGJl*_qnR+U;PH&Q(39yT;{o$SJXBr
z*N(?V-D)00=<PRc@9`#x8n*gt9XATqO)Q@$-%cn5KC?dt2`Z+c4?g(0lN8FIphD>j
ztp*?_<Q^y(&is(hVHc&8DBeD8nG&qCyQ7tMJ<pQb_+al=?8pYej!LWEbG#=uu7$%Y
zGaPlw@+7>k!79CBFo-ra+J9^n5EHx%B-nm#T*1zd*ITT}DC&Z>?>b>?TPA&-n5Y%3
zd}_);=24>7s-A%5<{$UJs`DSaiyXo5!{;#PCbw_JIws}<eTw7z>96jU73v*wh~_*D
zkLDGa^C-Zx=devSbL(e8y4O75K2S|@jL`aHMgG2tW&8(Mz!Ne_$6^8m3u>xDwC~zP
z@;oiOJ$c#byUc~3Jg#`lnV3|_ddtSiIORF=jUWkbG?`afJc|FW2jd}X&c^$DVNW9c
z&2v5rSmHJE2VTvUJg=hCPz<;nB!eVkSWUN|C=gd2|6E-Owpyr3HLhe~1VJaH6R2Q9
z#dGK1!I<SCVVc6mEE63<^eR`T2+OEYv)?RByDR9VUk%U2@0RB|{wzp~71%!3Pz4w2
z|M!viM?TDG5albj#3qC?>wW^NxoKeSn;NR=r}b{!p~PMG61Kvh5*1%nAMl#z(({1Z
zP=yfsnkeW4=igiQpL@C;Bk|m{r&O(Zc`?2JoFl55O6vD8e-?3)&qDac2H{OvhrW5E
zAP+N;s~M21Q99)mSkE6lL8^)zqHy8D+?QOnH*^90<#~FC_?iVG4VhiztLRL0u&`XD
zaMY}%!*xP>WEnKTI}3V%IHnES63N>wn<6mD<ov6_&*}U{$E$WO<tQ73>E$sMs#(+2
zK4sX^)}L;lcO2T0C7Q_+xTM*6eFE;CiZ>8unEm%x<rvEm{;XZSy6*aJguGt$+}db=
zM>EExac4cAq{~pc>Llt@{XR6lx{{KRadL}2Gr?8KI;KTnQyCc<4vYY|`lOlUF){!#
zDMt9?NpPA%t4a9dzh_@I%0KO-@3#7}wzKCvWtqid$1mcU*M`;Uovb$I^tpT#V<2$C
z%m$X$!DCRN3Eh`RL`HU7Cxi&nU+YjUwtKk9AXP9lz+Z4TLG+3CH~GcwcQq>uE|Q;h
zhCNjrgcIr}y&v5yJ&yvS)CW<@9sHO(!LS_6Jqw`+OB3)2+9Zr5pwToCO9I4(6*8$t
zCiZ64Wuj==ZTO3&;l;(UM?p;O`m%-#(Dh6xP}l^-11k)=XbDK#OrXo-7?!OtS7W2F
zF1E+GM}NYf9kK{0Q<DMR>r@iJ8pBULiA<y^8<s%X7WE3O@w&;utKsWMO&L0sV(4jd
zYfK1HQT)vl+_TGP6Mix+17}R1|3sN+8lWm)S9iZm(h;;xZD%!<Or0S{Ib(4VP7wEm
zkG)~AA-r`B7ot8xU;-`)5EoVrA6$HWXk{PQ{QAP5QvR{}<EN}-{m&144n*fRfp!Bk
zB!(cGqT@MBdGr0-QO0}1cmC@<QQU8hXcNvGV(FgVCxFv|_nKY~0TYN6pg_M1!rLlX
zYEdvofhU2ynd_mC5tG+(ft&04;W`|RsBO52VyLpa_aB9!Kq`z$`m4Wx`^Ov;vZJas
z7hAPl{WAVILXNE}p8ZKi-^ED(M&t@7b+WnAb7EXVci6hu>PJ{7eZ&&+f!@>D+ZsU3
zG~d8rZ9;+-O8=S{dANT`NtzyCP)j0-vc0<6X5K9KkJbJ372hL1_flW8C9du5ZC|sR
zVWP8ePYgo^_oDhc;0`3j1Jb5Tew@Ve?}?I<Lx_htmK*y_lPf8ai)@42{$o&V{<8`=
z7pKQ8!m+W}ONrd^EM$Z!!Tx1DFWG{SlvsX*>V2t9X0ZLl9o#*#co=A?O%>c!o52Kq
zN8cF&0amCh%2p9Sw59K#%hCmN?_Gez+bwrN+ng&I=upGjWO@aaX;jJCS-D!5#V3PZ
z-;;q$x841DVw@&^0@QHNs?G&U@FBq-AWta}@~XASlYbiuL&Yq68Fs)jeBC>&-*-mW
zI&j8c^_n+xRYA_3T-EcBt%FD7F8+8JuYKvvIAcI*Cvdr><+qHpxttW6f^Cz`;nF&I
z_bpw(K&s%<!nP*ahj{=KfH#Yf6gOrzNIeUZ$_&O>r}#%mL9__>H@ly`Y3w)oIAqU#
zUX9TwJtn!!UGV2og$tM|9QF?}->PY9j?-T;ASi{la3X~5ZS91g%Lj84f!SpEL(85?
zSOTTwM?O3WnfRh~WOP%2BqNERM)^pW7l8-_V2Jtr;tNY)03bE^1{wx}iZf9PfvhO8
zlht>&a9;cQub{y&iCfWXPb^bPir^dZ25->d;U@soOoP5t?hOvC_EQxrjo*ngU<rki
z5AisJlkVEe@w@og-YPz(n(@jj@uJ>;PFGwG^fpHsJSYn*pUdF|)4`>Rs4&~gh7j$B
z?1@brSe<b>_W+!88nEun4-dDl0~SDj0G(!g=eafc<k5m@Pc7Q{@wTpp#{Cmb8iF>>
zQa#V(EuDP;+d3+I=EI_r*^t2fA#?>4oNp~OH!tw-Z-Ee)uX5-{eSJM>tC6G4-_Qa0
zeJ()d&5IOJI@Y40rOyMf=<4+zfU*FvSoDKOP?YasHj*4tV{jOZBUY@buC51|dP?!i
zgf6x!-OfUuc^iY8wjIsT5Wu^#13V={Dqfq(H)waC7v~yFNg~n>HMQI>69#rh6sto?
zM*VR6?PhD9NYK=AaZ0qQ>x1*u0M1iopIS)>Ob)NR%~z}NfR2dFOIpKyi{_KoIOgHT
zNSCE}+%p!)Dd;Pp)8J-19UqsFaMQnVd5^BLkLdP2vR9i4?*Z#Awy_NWzRFqs=)DF_
z#KLqr?MS(8n|-g4okhDEf0>Vuj(Trf8yq-~yEk2?5{`iIMjfad)iV;x1(Xb~3BGT1
z0N9G}Qdd{kapt^6kBqi=<Q-_M3%U${)%whK9eF`X%PA8{u`w<8J~Iq3*(5+PeDlvh
zTdrJW8-Q=Uy}cmTSYHR|STn3cdz?04S>@$J>UK043TsczPB|i34Fy05L&A%xzUY#J
z0GY~Ejfl}91U?;)GkdyBN<VA=XYQs{S~vx1(npO?z+gwaLi8_xe0%K&0w9v$C`?u}
z{CJXx_5vSa`3$|K4M6|Yvo-<OwQ~)4lY9X!gCo&ge<Lg7h^++X({@&d=vn&4rpk<N
zT}!(sJ%EckBm7Yv?}n4{SOKEoD#foZvyfLm(K@J8*6n=v@z!Jymwl8{`SBQg`r73W
zC-)_Z8oq%Z7IZ0drtjM$DFtT<pdvVCte<8+(Wt3b^6z1mGNNacS%-$kxhEVQ9qm}6
z5v=)r(<2oX8$99~5L#M0-C+0q9fpq(iKdfp5RNaO8crfN7%KXiUYPM~BHuvQYi7h=
zH1~83Q0b%L1!Dknhzx%`glynq%&^hu9Fpe*WOx5sd}Z>%EHr>-m`7FavM9vP^nH|-
z{E*Ps;1G(CkU&Sqw;d&67syV%VP1Wvbi_JUTWk#}umX1-2HcO7y4Q;>0fDfF%c9Rs
z)48!snx9{8-x<VUXA5~I?e{a8F{1Q#Ych|u-V=pl?ef-vBtiF50)%hVFkLh){H3th
zoWM#c{0e>ed*!ZB<;vi@XGX(z0>muBwkGP}-lA~_%In;v$qH^f0t=y0l21?mL{hv>
zntn&v=hSANOf+A+;-3^Rm`z)XJ9kA<+mGp_TYa2+EMRA0K@+>DU+rGe(EbbATQS~k
z7mzRpQjh%Fzk;SKLOQNeCtVWezfZETp;LP${ETlM8>2+cJw8Wv5Nt625HfZk_4)zv
zvXBVimKS6WcR#s0S#bZN2k8jInYtX7)Fg=BvdevMc;6)}pGi5FV5lGeP_o38bT_Ra
zYyYmYKY@Qt!X>sj^<xEd<L4k+(2zIV0dM4P{U~q0BmdANr;qAMIOp1}kAlNU-#!k2
zpBLY!YTlEFR!Gq3!mXyt8NJ}nQx*9hGqkt)kG^EKE7J>os|$sS%XMN?bga{vne3hm
zpvtW-I9bNsrySY^FU57D<oX79J0QTkGA*6W-2wF)C6hoy?#^hF`0Q}%pFUx5tg4`z
zeB<%kp+ZJILHI@A!}FqB<I@ZrA*&IMM*zf`Y$H8&jzehnJ#}N0vD7Kw1QYHSLBa2^
z2pT2saN5z;m5BoSurGrJfT`)L1{0R=`QZjO#t7;Y0>o*JPGW@ngr!z!N2gZh?6i&(
z2nzp{b9+XuCxSWJ;KQMP<2~m(aaN;uo)yOS9tF73Z19~GoI9#g4<4r-<9<64G+Weu
zq1|LTrJ!pd-%tpX!lLh5D0`{`Lxx;)#lW@5y{ejxj2OY~a1DJPrjY2M5fbY@Y9M|Z
zh+<NOdk0-C$XIM`k*5(D%lBLMf&LrPC;Imr0l(V%3FrdNpby&T9Tjio-d^KM@|B?P
zPZv&cw|>i-Oa++BN|P1cG9tc!HhR(_lGi=89~$&z!#QQ*I!nUB+d*eG?`oS$8&hyM
zCMd*}EQp*b>z-RJoS<}VGe;;UHefg(?<8}XM=oGcV}_fX?#hVl$AISI9CsfR*Z6ym
zR<I7PB(;K8;#(6=mb0saZVBa>vqylwSKCHJ0LcsI{A9k?=ONcG=wQ6fE03Jqx~9B$
zxg)<IM_vP?USw7>YCdC;eB--110vd`g|X(!AmG!h@5W~Y())!L8#~pR`#?leND(pT
z$w?!VW#HwUX&=M3{u25uL5W@=I@`i9f4si<y&NhxD><VP2`35h4rp`v7K_ng+PkjG
z8<3C@YTl)Vn14%*@eUV~Ty)8hG{sHg&zf30bI!O(EqQ;W--}@=p6N))rBt=Z-g8`&
z7<wTK;j^rX)U&d(+K+f}PR3Wux*~<Rh~nk{iP3g_{`n^PhwlA5{4)Rxz68l9z%*>8
z&!v|_EZj^DZ`|{n^f$`$Efn!tzJGbTU3PywS>O6H)h@Tv^i|DM4WmE4Z8XYvQRgG@
zJfeXFG5ObUb!3`Wen8Rso?izz3kZ_ZjXYTFBx0Sb+I9xJIfx%$0a{R6V#k8|(koDQ
zo;U(;Uw=U=-4#|fV?oBm5=zFNOJHC6g&V)>xX9p&B_dQ4EhwstPv((AWXQcvCxhS@
zHe6!Oa!?N3S%i;5!9@_eH=x!_zXqJ7P0nk|%~<GYDJW(N=AzX4ws$}E1U^_(btH_x
zZ}?*;7>_;`<=Fbnk}C5w-PZl?ecOW|g{iapIemO@Dh!D|=QuVt$f`=etBd2?3(4+Z
zx_Z<sI*-7^0|bG{(*VIJ*swx8m~SRd+CCCwr1Ls7Q#|%GdE~8aXveVMk(S>|yZLJs
zk@>SMwn(-1V`NWrQ0qqLQ^KS9_@b-ryt7O*z7?*FB%?);iu1?bEQwwR7@wBk3Oeu$
zNp()!CxP6%1nZb5MywJ@KboeME>2<4PL9b+og;gJjVc{f?`BL;dt$<+k4=!ao`kmQ
zv#FL5D$E_WZoMFTeBb@|x5cZGjO%5xo86mh`(c-s9g7DZFAaaiPNja^eztlimS$@z
zhevD_a0+Jo_2qgJA(%!C$hPes;`u@VOo_yj{L%EP#>UjwO3$_C>)!^$MKh+XTsHb6
zFXVYgH@}^+!3%-M4%j9ajnf3C{si&n=oY;{j^4pwf`qdJT0(V(-dNY_n~UZfYu3us
z_`M~`#!RbO)*S2$*+w8Sw){RQZ9B#m>`7{t=*85)pa8{WfQE&=UQDqh1M@^$ZGcVN
zcUZ?Ldm7G&hNF0SpPA@!c~rS-d{N?Sy2Vc&b3ULvA^UtVnp>O(;8xk7$&2P;MxD2|
z>S34!r`tuZg-UnqX4_AiP8w^^;(LzOk&R68?;D1&r>Hgp7GF(&sijkoTaiBzZv9PR
z^Qkl5EX7Z!kC;Ty<g%JBFP9n4W<htKg+spa{a-AUW)LF%Zz9?=*nHy?+%!Bo_!KMw
zPcU&fL|)BY;n7Q&riX(!ayK%`^te@B4QM|#{-RKb>R2{geOW0838O1-Elhp2w&wkA
zd0BQVw_Xl0QG_}{9opBCP!H`FG&h+o^_Gel75h?=#beh~oAiBPYX?8;8?7ACVc3qT
zv)N^|<Uy9eZ(czYn|ubXM+bqG?e32+`hVsqRdK}{JpOQKE^<Js+xRV0oB7vqcC~(O
zF`8g$2q+VNkm1-l@fvurf(iWY`sM295v)rdo%3|>FimgPK0MM&E|$VMsCuJdRVUS)
zC?m_Iyiv=#Oh-U?-NjF=U(ip12h&Yn*Pp1uwiT$elRt$z+%oABn*U76^+<+dv>2QM
z67bG?XGHWW03(hJ4r0xA$qrmHJm<H(oYywZc}13r7;j34>lhbh9t%#Sx`yr!35fc@
zTQK?HTwa(Bu6L%sCX9<`wj6efPx#t!bkURx9U+f;HEl_nQK3z{D<Hg26!AV9(+c_C
zLB$(af%c7gpk~2$rlw2*6|3H+M~LqZ7EHr9pIX31v%IT<Arnq8U-hJdfV$RGv+i!-
zq4&_Z)4sdj&tsC-EBg+a2)^{RHqWaGzpI3z$n5keRJ{GfQ1^2{=vAX@a6X(M3x(X%
zV`a#aLrB`MstyWd@zvRJvMyz=>W9Idp*sDcFj?e!U(vmKixGzn2Qa%i0EP=+Ti%G(
z#j%yT9YxMxs^$6FlAcY}@qBr|zfa!0K#B)nRGcSM%K&h+)k@HQN=oqi1^9`oB|^Gg
z*d(DWY^H~kUp)^lTYE;zu@x!Gss>&deE-N}4dU|F)*^F8l~tq|Op!BpUurs6{p939
z4Yy;8<g4c3oB<p?Ij%N$la|Z&k~F?t_efW*#<rNPQJAS#{rUyC-(5G@2q@@<ULRUK
zl4j<?L3^)dG<@r>zrm(=3sc#fX&HG6xHWHC%zfwI?tUlkJ8YQg7MFm;%w2V1nL~{2
zX_|g5VEeRQIZI^KsR&#n4s55dWccJ0-tnROel?Nd7DX#9>6;Ewlkl@#C9HStyvW!L
z@X!H#O6JpTBzO_G(JONM;V;$W$>a=b!7;~Rh35IIos6^X`ISa?D(`Zr!$%Qn<<G|c
z2S3e>!($&6_ee_687%GC$K~7=4=ZmM$S7IPk&D%y>upk5cBUyab<;v&+TeER(>e`N
z#xb^d9Q-9ToKQ7FkdP;szeWZV6f2bqrUkF`h7c9*C(>k=$2ivj=1tI#VoR@qdmX)C
ziQyWMPOb~i^oQGF8g9Al7!xBX7NdJj7uz4_G|ZqSZ(d((QzV<-tB4}rPpKj(<!-e^
zoQ7USLn-=Fw=cnOC;352o9G_aBdV7UG(<QLEl|H8N$#hQ4aaNe!@~Rt8WngSH-SvD
zZ&UL=JQ~Yrd@?d|jhN4U%NPKH-pj?1(nSjb5!IO##Y@p-L9uHnu74Ma?xXwdf9p{~
z=T#zkYP60f5z}J+-PPtYTPq#&6q2ZvcsY-!-*ksTae|o1=HB)lK~jlG>*#S@p{?|l
z(A@MzD9y}f2$4;;VUYqMn^|pIte(N_RU7qnboaXuhQd^oKt%QLEG$0z`K@A8G|n0a
zMDod`YU}UrH`<Th^3n?>62HTzAO5xxv7(GpX-l#{`DMx!;;M8}N|N1)8p%>kVfPV!
z)%dyFyo<APaEwJ3((&u-2<k1pCiYd&`IgFCkh+g+2^n1G*cV<gZFJ@{G7(V=pryIu
zrQq1TWl%{p=g@Y~S3ehsC*);T=9Kjv;qcKao|+&^G_%Qgtw+@$P~*lj+JLbf0^*P9
zup)B2V176V^1w1BM83$RO18Y+^$yqeuR360@KU1X{l=LZ@i>M-Xp9X|2J*W1@lnb!
zv-i;+^UzpczJHkaB<fZ)B*?_M80LPUUwPQ-q?vD42b#nBt?#r3QoP-AGA6h_H`0{s
zBJuz<?j~G4Nq}z{eXVm|Tos*&WCZOSrCV#b59&8RI!)}Z>evVGC_83f*d63CKKxb!
zT*S<Bxw5FLj;yx!>aAl@-X8MbyH4pG^$F|NH!Y#}4cQd0oO;|AYU4^|s1#2J7(H-d
zDlYGZd#-lkK&u_5*D=Y#M#stGC<JVyF9$`js#os&TGk3Yp?L9@QxQC%oPlm6ajD-0
zH;6v&;)N23k_7#Uk|^ygusN)(S04;!F?i>f{=$w348R_1*=c7Z5Y1OJW{VA^mg~br
zB;7S!K-+eYE8%YI$_PL2n7gX+yQo?1HPbcm(_(36zl;!K#PApQxR60b`<YZyKf~W^
zAK^0VO+{xYk@+BjAFlJox>1n0;QrFyN5q*#`PeOi#QsOoNteT?wVZko77nQ1$@Oa+
z@wl|51b&C2utK5dMtJNy1{28{2-F=mx$N!VSM?MM4kSG3$5=SY*j0sn;&>cGVFZ)k
zC4LTHmZDXm1Nw;n#p*#Fu9J#n@Pa8&(+hDnMT3p(K|sVQ0H@18hRv>x)}ZQi{D*fX
z=i@Nb0osu&K$<F&&Uc6-$bsjkF!))H-cOb7mx2JzMBFl<MMiRsS`#UGfm&VdGPb*K
z>pFBqX3y7UMCCp43Cn~_WtU9CU6r%aX2rzfXw%~zbmF7vuszRye3?Bm;Ac_&^fh&B
z4Rm65-+E<H@bGPqoPsZ_Xn&`n5FSFg*p;r|{pPs`NO2;Gd|{8yBV3ZCub#@(8<5Cw
z-*!-UGBH{D*+Cik@WhyKmeZe&YXTGS-iNbKpS1i$aTm-oLXg{k{Q)hrt=%sExyQtN
zSpDJKqWI*6ZbhB(gUo)J$Pniw$sE7)k&N%q3Tycg4qTXR^176RTlzchy1JuVzmxn9
zCNFw5Z;~&F+c?;7%nD?H$1MaL((haju1t^^dKEPtu9KghSPgZ#XCFEf==rW4ut@y!
zVkx#12q&21-eN9Bkn_>8E1?`je)>UVRL`tUNONr@l+lDvf@(7_@YUP5thD)z12Q?v
zuCI3cib$Ke&y?mJn~hXKWjwQSj;gaWmr)xxr`b1><2T0n>;5Ms3<G%`rJ6Qxh%$fJ
zyM$k%Qa|+7Qs<tRt==#;U?ck|595%yefO5}ZfwS7j@ps$1boObEZPtfpiese1JD20
zo1I_^GaaYmsAT0NNSK`4SnLCSt%q*?4lM77>%1eFDtGOhI`qOR{tsnu0aR7n_I=YS
zDguIZgLJ2)gh-2YgM`v8l3PK#q#Kb^x*N81cegas-SD1Uyzc9M=6$|*=9}5W7_7b4
zI^#I&|NkBQ9MR4b)qz4ub{5}KHP?fZOm+GU7SqocD2`o=3kY`EiQgj`Aa}shG<@xP
z{zP3eAe|OUrCis5w(ukH-4R_0j$hIC{p5Z-JB@1~dfAAmFSI-~!)ZP*6Y~ITd0Zb5
zcEpNuRj~arAc1;#r*hXijl$PcQ`0G)mrq-PtaNezM|FYK@Kc9&O<GdPr1(Dgpv98j
zkZqO%5!|R*$sF>404!&^(}mtrf1Q>gu+`JNs;U;maPvj|HSbjCvz)U2zP2-kWElvO
zwf0O$i?JZQ6#OzvgM|z3!;{ie4pzs(<<7``;u@jcMFtv2LLSEtq0%b&ei@w6+&SwG
zq522CwiLAmlVFwHM`2H6C;iR%n%<;hFmSY{piWjP2x`D9+J}XJ|0S^<DXxA0Mby=3
zp(kFhXFl?XV4p3IqB9n)47s4kuY`;Yub_6M8$Tayv~jYl1=NCjI~Kwy14~bQZXtHa
zS4a=Ai++--o`pK5nB-}dcl9Ex#s!@pu9ad{bxR<M0M_PNswOotpF!uY_y&Lj#5(;v
zLJm@67DtJcdO#&{*hqDBC38q2MP1QqVEn2WE-D#>u_xdlr|)4J?2Me6dLY-VP%wLj
zyXaQ*<+IB^PVM{GtpO$Ixf@ay=xHVHir-wlJ=F90JvU-jey-9>{a%=9MwFpVnSkY4
zIt%Y*!9}C&4UG7dBsH3*y0^=(DkmK1KcRcz>a-O*dS3GQz4XukS|W2bac~CJfu_$E
zS&lLCLlLmVp&Ih%PS@DMR7T=|864>p{*&*4a^p@1+3&^k7LQ&`F$HSQKB?u$H*$1L
zPwp3}S8m{kN{=wL>TGdg*>@r$5HIy<X*v9AXkf>MKH@6H@d@s(U&pnQBdGqapHPm1
zy%u~w_%-!H(w_YS-+~&7Yfsfck8?o8GYRrQqH*(dmDoM#F!u^#yC8){{8Oe3=_$Jt
zRQKu|($`~ew*=kv4}aw3kP|12*}fcR+CHR5V()*B)K+EtOWay{d=8z)fYWR|%57l5
zKF*`!gQ=VCeNp>|XLb8eR$H@UOZ`do)MWz}DMj~6k;NOUTwR?^@M38L4tX$YzNw6`
z3M45^Mg(=&9T&j#Kp4POS5<U1T8kFN1OewUF7nkucxu7naHYI19z`r=Z%~OBAz$C<
zxU*6Q!s%wv>dk9J?w2I=EM2MAS<!kwUB!L+wW)(yAFA=5jnq_MS*2A(pSOa_K0Ioj
zrZN;?nefz>ii>|o$$|FU18is=T0^U$Mc*q6;;+5}lxx6A-b@u@z~fa&b`g|dB)Jb%
zVaY=N+DRcfPhHqJ(ryk#ZgHNP|BiD1EQeMQSvz9VL9CQSKOg}8d2E7y?>U(;Ac-qn
ze^E5AtX`2>>RRQ~p}We92}$5G!t<*$Iq2)L4|wm)@45IpxA25jHzAwort4ko?(T-K
z-0@QX`GoDbtF_E0-)ua!SU;kG5srR*xzifGy=`sB`ffXP;ds7C=CVYV0qC>m`<*IZ
z);L}@hH5C&`SVtcHU^Eewjl=J)Y-IMgEQ(cn;PrN+{dNueH_)Y<7~^jxO(g9pPw!P
z4Ni?DC}8cX*BW3br$Jb~B;mAW%8a$qIvE;!gUO-tPT7}(d|`yuYQb|knL8fso<wMQ
zp!TC*kc-wZKbwcC%;$U$_N8jVjTr+Nq#CP_<Ii4$J<@(==RmNoooQ0zI~Qc|mu$7>
zq#Gfm>{8EOC(djAzB%&UBAm@wZ(VBI0TbS|5(YYUFuowttksgR5Nv0SH|OLrD|!D`
z%lH8u<J<e%vN+{IPi_+Qnu>ll>E4qvUfOjEL(hA8;4(832l1r+JULT(mU^vW_rvR?
zG!<l8jKIQZax_zXQiY5aRXWX=;7a{az%{Jc1$+9;Cpl;uZ%=6Ls5|n0dRlc*uVs^5
z<1<t-h{JC@VU0Q0wx25Zmdh+Cc;F{QX*v54alI&^9m4%}2-Bs%G-wr46p<CBwy^Jo
zo<ajRMVD%rSP=Lilb-R%mFs#4U$8Uj4Yf&=zLiD{)Ku)?&$Ir<FW$Bf#7xe^150fm
z(Q}d8Ly<%LP?5d5_i`4j4Wd=}`Px%86v;APKY$JhSU^s6=jS2>+<T9`(DNn^z7{@p
zDphVgm8&=FfwI5WEMLNMZ;Y;IoPDq+lwu(m`@sV8#odsy{oX1Oe>$csbT{*`vHrtF
zV<CbQm0Q4q7{6^Awyl4hFCO}97Hhr7wk3iQ+iJe0Q6flue%MLovJ&_o2(lT)e$eab
zl)q<v8sKTX@zliMBQyAXGsnLti^U~kc%3ooL2~*#e}{_vFeTyl9N3Yo#8TFSX@>(t
z2!T;fjnv_b^g@dUgQHw==8ILWEG_2ti|;oGlff1iPIP;`T=#qP^W`*to9dOvboq9K
zoUabBJzogw-GdCW>)Enn2-~CS&V;?-@QHVV?B5G9L)B1F(NMsz`xJXRfp0R9J0rO<
zh&&W}Vtidzrr6D7^O^aPP#Q(?&lDAdICN!Bl>Q%YO|^FHt=POy<AqTJJ6FU|ZljAP
zIi8@^L~W1{liOm_^3Azc8Qi?1O$d!cV1f`K!@W=$F+p25t80<76CHc?=$1!O;OsqH
zcU2)jMjU$^*79dO#dmvwobOWV41yCm%<3Ms0zsJza=OcIv5;HXt_fLQ;9N9TIo5O3
zd&Y-oNbknleG_9<`ME42`m_5|zFhPQya8$pUrOjaW~0T;JBN)1mM;seQT1n}uiCih
z1J4M51~qD5!7n9?nAVy5yD&s9nB;3T?E<9QLx>TzK_l*7^F)w7#_d_y?HSk!+dXlE
zdLmwV_1{_$J||M<UX)e$<X4ugXwoX(Y)-bp!IO=;^;*4-ynftl`KDjws#)Y}y78K5
z?4Y(=FS)VcW--<vJu5vXOu#6gwN`Wz8i7N7)|-lfI>PaTcJGo5pQR_++OU_-!qMt^
z9<>#R9V<u}1<PQT5y1Spqa{~Hzqs<tTH5+UPxlXz_)9FW;*H={$4r<pifr+(lV0L~
zFOzzLP>r}aR_LGHAUoD5nIQdW&jm8P{4m^-^gS-^6o-<qEjo+vJvp*wu~(D}GN@g)
zo$uacHTNr8m+EuKB$&}$tw~POKK-UWNa2k$QP*%UUOK4)uQWBDAH#<w*L~Zc$~m>-
zd02)gCu;6v336(rGt>1lhPQc(7Wp2!)Iar!FNZpK$@HF8ZeP@jzd)ho1jEM5PjLDc
zFOA71c`=gg6|Rlk1Bb>x2V@136e2&Ub&o2-X=dT%febXQ5hvR4+o{^6H+eRYWp1st
zXGP|8O*DDl-!Z@CICOk;EW6aX-J;*yT?q+kxawYhYnv&~l;-)Cv%0ra(8*>0UTxVU
zN^cg)WP9pI9C2iiQI>wRa>~(uASixkhMS3s5gn9Xf!E0AIU69&Rp8XPL7~cwO%D%N
zOyE3(@FSW}5VUVK`SzmS3q4l8MCy+ofxHDN{5w|p@m6QBUyQA}(O2chWK>$_GN-1^
zgt4pwpTT;6J?a8i55$`{(+C1BY;O|4mX<Y;=dQ&RYTY?d?i8=<U*Nt(hooUcA7fi_
zOo+!07UyWHG}SH9tk!c57AtB4^&0Zo&yb!>WMyrasA81uFH+_MLm$9b_yhm{LWe><
z${)oEm=S>w1*NyYWCNv&JmNRqbFulwhqO4pa*)?OlBbI-C&_I$91E|tl%9Yl{D>B)
zJeneNzk+!xOxOY2caFdoUAe&Y=FjU;Z>n;As-&xFg5EZ^fzd`WBll6(vCu1yt!py<
zdr<Jl9$2J&0&bu5Rkiu<&UZiGg0HYQE!^$qrb&8fyvkK!0{tGP4!hwCptB1dakMD<
z_t%xUkOY$JNie;M5(&E*>`t7kTq6tNg&U4FR5hK#nuTZ;lXSS2qP~JFT!Ak;NqXY<
z%YVfn5^0G@eAOR1abzE}=xFGV515SZ3ZLsTavHY<vtZ`JUI+>OD0m@``^~>%Fwl1?
zfZw5HY)ow~sMTQd>Hn^`il8k5`F;T(>j6?-WGELVmL3>)iC_olV#-#3i|bFJy-5_+
z)}9{9l-14sUz`XJ@eqiU2!4G1+?%5GGlCuV=D_<rR-o&)0EOpe8CtHAr2*YQf*cF9
zwLeA&e+>A(aI{gSW>dwSg$@GPgM%~^e+>-x0{`2<V2-~&qWL`oO(GO-P0{CF4_5iF
zgBN}n3d#hfHuDW2Wsvc2kSp)Uj~|Ou?pqVZKuP-mB=Tv(WDVB#uJwCBR-sLH-XXmh
zBa_k@S^{zumvex80lV{!UIz!~b<=Zma}yKhVkzKQUIB^1D$?AmKSf9_8DduNp(P9i
z8$idJ9|VNcCtKg8x8EwNk1#eI4ashK;HCY4`XeIXq*<*6XQ~R`>Jp$RUU8BdG&K1A
zB$x~*g@}M{6nT015ulvD{;l3fSQ!C!cj~VWx@W`%X92x*sXgogu6Et~eIOZUI)sH=
zL>HB62}4-&zsfHzGj{EOTBPzlI->`OMf#HkV>7&G!Q2<f3|!JCBB-PZ4#Fv()5^s`
z^O?0Po`HloYO5gmQ>uW|yEOOoZeRdtneu+UAl592ue<z?LY~ayNV)dS!oB&~0~|0<
zQry2KWDp>?i*Eo4ZF{vYyVM&vfP10QBvX=H65$!^Qlr#N(=sd(#x1wqE`tiJjedb0
z==4duz_u%ay_pfXg~kF7zX?B~;ku!op0J#)8AbW<d*mr`Yw;%q<v48WYS+WniQmgx
zQ{~+&rQa>nZC`#UEZjvCFxb`1Ue}R~tpdfX4>)MA^J-RNwCT4PzPty^QmeX^m6d0>
z1b`mIuzki{bz}q17BuwZXOp?!4gt5t<?&{FrlK&pj;;z3ueDCen}Axml(VVv1~nCx
z$hzR2Kwz7h*zLLz<l^Gm8|cz1;yRy!9hwfAtEs|TCJ>sY!j4(rAo+jPWApf#t{U_O
zuj^XK5>5M=^A0M>9O-@1XX_1ND0vcclzza);djep%NQ+7orF2CJ(`REku6%wu6uz>
ztJp|#M%!~0Fw3rFMLYm#IuWkTqTcP)`Zgw&)?dJC^mlrp-Q3NNOQUv`?bmtxilNQ%
zLNa!v7HN?SWx^w5wjYAl__KufV?c)G&9S~B!)B=vLcB_OlR(i*v_0I<X(&JT;!Ht`
zOIUstRk~}Cu<DR~mBj>>q}Q4|w+Ytw;9y$Zd*HQd$VC_SJvevti&t7dR(%X`*JBf+
z`;iu8xan+!0ML&L4cLrbAZg=n7}lx$%rdIWUc11tWYG>t0&T*(hcY|`63YC@Z7yf2
z@5ZKKg;u(L?kO<~EUssMM=WA{!0>j)L}12f<290PWsO1W?!iiTeizWxJcXZO{=h&S
z3wL`O%dBl$2{ccu(u0w-?J3&IpUteEJq?=n=YaVb$g$zC$6iQCor8xa0~V~8NE|QE
zfM{P08CaCIo89<dsH(o^9^rYd`nq&8+S#)Yej$lhQ&Thk^F=EY{;ee~Kyess=4qB9
z@CUHi70}v~mxja)L+F1?^u432m<;ZUp)4I6uY2XFrLJy<J#}NP2eOgjP$V?StZVDk
zdWNQEZGu!bp{l(x0pk}Sub~q%klg499Jj2*>Vv*7S2qSrD3tfOz%qtRdkQP5TcQiz
z`f#=P8=P;zPDNnP2FQY9{PuR1GWVJobdl!>R}adw#ocR+M4XoE008UCtPJb$ie~4@
zN$zj(ir5suAQllY#wJOQi8O(eTN?cu@5SSq*EnCPp_M}uCaL~3&gwjF=)T}c)9m~+
zAzSLi+it@(y6NBOPh7zPPOVV@Wv(s+q+*5w-3d$W7Dp46u4uXb`{68kVCwn2l4fbg
zbm_v}OOQPO)@UurePkDax=oRV!Lc6&lgy=GR63_!rSR?5VFei;qs?H5n($ue(nuNo
z$0voXiN>Y#ctK9rPTe3;DM`+{{>jELof<U`$4lX+>1ZThS?z4+czPs4xA)4XKp<4G
zxIXx8zph#~_C?v=1Rj82)W~{EvuzEudCe)hFX9yUXLlI7Jv%90I+aWJ)0y2?UI8^u
z308M}uZHt~{yF}AjMfv!j!1V;+22xU3-_s@EZCzEDIGgkdwFyKvXMtRn!bGSYYmBQ
z-X&7~D|b?{%+$S^Cb8wCcMCDKZ(MS#h;+WXf(&n_>P*K-g0CA7`vleIu$U_ZtPM}b
z4i5PzePdHUg|DuxAq|1^E<uVkh+M5>h{Hg{Zj>`Bt};^uoHJGfNL0kq`}6f`6qO&F
z(_^>DVH3=Pnn#r30`R1Z)KjT5gujea*CSIuumVRG<wH#{d_^RGz|w(5z9DMw8w$So
z_kgGF5gVc*k9<DZy+NY5h^b5ovGX$`D;R;n<xT156xO24lW^!125N(L<sF_$YWL>H
z-VgScM&HQ+yH<3UdPa0c-@lmSn~x{3dQU1d6@4f0G<|&C=7d@MIO=Zl1Z3-AT5*3m
zxPufMh{j`Xcu1#WQjwud{HuQc7R+$>*RmnHUdoLVZQ?3AQ9e(<oFKD(4QLsl3`aP@
zIkzNzkr9hLDG&xu(wEDk&92$@p^q=tQ6*Jq7VLo%1Xa`D?R3_qT{obMP+dF^k;hiX
zk|#z(*s5)`ANW8V@do1`4_WTU^ozbn-m+6Yh<s5tFjbw#-pu3Wd~zo23~(#w#pq*(
z0xyeQI)A$LGwv{(z-kyaHTjpo;NuHNq|XfV4HD^B5Asy<96ook6zF|CVA+s~7*3oN
zPCfAoCdp&p|MW;|r{v36euc^DQ;7|bDeZ~HHY}|W7w37)isyN^{t0GPvQKBr>E`2`
za|FJz;+{vEdW~nTtO$ezB6R0mty*G@__E*1ZjZ7>GzmQjT(H<&G-tX|)cxhgcy7UN
zHb&Xuh>BuFGr!E%^49#z<>=$?@YOx)dG^hnnryh`i9YR}7#hCt&VUJtT8-`5+VN5G
z_L}CH4o4>$LDpi%EjpM4@G{nJc*={O<?-Kl^@#_&pmAo>6#)RbzHq?2KmqMokX94o
zaNF8CytKh1^=I;i6ErBE-M8_&)c&^LE^>pNzwVQ2h1JS@qP>`=@G+)#CI=<Iwe58%
z^FbV5>kA2ccle|i)`Nl;9)nPY4eY#H!)BCmgD*%;)8liHFIzdp1C<bj76Vj!x%b+p
zk8bzy)OE0PI%sNU(G4D}_os@8RNM>ln;m$Bz5qm@Hy~k7IUTN|$n_CSM79=kip=Kr
zh26r=i7%!qvS58hCG{eT2=mgfnxtY;V8Yl+4Y(Hm)S{1{X#ZXur7URl;xE#?e~+6J
z-}x)`)*m(nl*sTwvK3RUksj70-P<xR;(WYuyg7ag@-9hvz|K9D3|)A6#B_=UE&OWH
zL{2_l08xfQ8ux)cNNZgXDA+T$QiY^-UxZDNvpOk{dLp;FcKfWBQgAZfh)O}@)m$0P
z;1rVI<)}yGBVW<O0SH!3{$pmor?R1qC<OUCOUG`%&_4#9n&P}AeYZfj)~YwqXJc95
z*%&hf8wtVZp(p6Hzf!3*0a}F$X5K{JoZch=_RWgeuW#tlY^hm)_QR`$7lOR?<T&^R
z$$>t4Mvd#D?6;4`Dep_U=sd(!Q670uYu6)uwbxug?eXi0b8O546J_it6i+ZQ>D}JY
z`MG0Fi~g9Pl!~hmq_pZP|Kt!yd^@36yMk$e-?9CUM)7Pj$F8(=c;bQQ9^%Q^$!x_<
z$+QGQoF3Y?^Je<BDPs2rkIrq&=H{)Wo-;r6L+4nDB0=Nj8>g1P-5-FTFd!`HonO9F
zhN~m^kgZwG+QcGma%CyI89AXdq$0~z2_JM&HBcK*{_q{KR~Q1B6s>l;U@B6Rdh;cT
zRlC(SnBmyy2Y+>}hI#08`Ij4+COiC=bdjgc5wdD2P91zn{G!OWbQd#Dew>le*;swg
zNmuTO&<@L5>XuWOpkOm5|Cv!3UXuj&(smg!adlFl1Yt8lkVz;ZH^T|Bf%Un?*IF9y
z>oc>dpS%`Lc(?qUAtI;M{ZBMfogY2moDQZ?VlJ8?Y3!jwcVjSoz5r&_+o1EYFdGUc
zX%cRotzp+k`2;l9KW^evQvTyOzN@<fI6tq@H($|kKf~pEVGi4U)SJX%{7GVh9}K70
z<&8PAt>Qc5)P>R8mZjO5FX07p=+);1!!pzXW8EWdK9Ft;rv$a!tB?7^#2e<yEni9#
zF($)Num&f}=IxE=Z2ur;Xdm08Q=n6Q5O0<uMkBo6g5v{U>)Ts=($XvT8c45Ot@&~7
zWZO(19mqR%(|tY%Im_)lEoU}n%C&C@m#9e%FiJngs{Z_Ltw_1GWzt>dLS0{&!yHM6
zMr&<Xtun6D@XUmqW%jLc3gN_a_(twb*vtnu`MHAW{zarql#no<F96Vup@70bZVWsf
zoXUdb+8&qSUWtI1Z-SF@Rh6o)r+tu}?i@G;R!G(|JkoG-a+(Q@qWd`2Lh5PyEVF_e
zcPbjI45qe8^PEJV99>z+WOe_AiS)X(Y_wI^n6z&QmguZONqVdLxS-&JB?2#NsD)dx
z`DFg{HZNH?PKx$58@)x`x0Y1v&e_b>-52jHOAj;i*t%wXax78}YeK#wV3jZu7@sQc
zbJKc;s)`X@GWsw_Vt<8b+Vzr7DMUI1RXabxW&z2ltj{YEAOHTx5`-ZM^yt2ng`Se+
zTS!f-@G)@rf6<{tx0<Rq7@jG>W`|w9lzst1S#ZC{!%~iOTjWt=e)J{rb6T@^OEAuP
zUT$}AaxwG2keG=MSZ2hSj3U|@emk61eHiWuQhZ<PE~wrt(}`>>reABbgzzmZQC^jS
z9D%teEV?x#vow%5D@leQ_BofbU<r+C^P6myzAZlmmPWqxJo)nUXY6>AzmaTbmV&<f
z#@v7mCyS>a_u3k<QmYs}_n94j+e71n4H`gNc5@%RS-@Jh+?r`U9=c3sxN}^RBmANU
z1OdJ^Ni|r+w<WOo6|%>KmME0+7F&MtnM6hFebSX`prY&Mm3&F4yoT_hT8>n!F6(eb
z%hcC4_LBM6xRb}PJ`==zi9YRln@%aU;z#&~0e#EFOB33C)Q==yitIrVx0F^|DAI+-
z65pwY7g|#k%=>2o84UM4Z_wIIwQ~Sl<%A_Uxyqzr_g7hJ@BNxm;mO_B<+9zG6Gagz
zHah+Te45}-v)gA@z4oN4TQ_E&VSwE*hqfp3F>(U!sED)8_>v~IHp=eS#i*MexQobN
zAuYrIXZs?Y1c6@Qeuk4E1GZmqZe)kHMe=R}Na9ZIFpwtJ(nYDStn=b&<)^5CnyRb?
zRZox`ewI1Iz#zW3Hkuxi*E-$#SVs+xWHa@8X<YpIBa7b0DmT2w88)J`zcy(66IM!Y
z2(>C7k4N!{hPTvRZr5^A9)eUf;w`ZBDe&xJ>M^Zt1=QU?Jk}V3Aj(S}Zkz$F(1MIx
z(Vr$-2#~H6)eJ*n*Mm0#t@irHoFq&;PTkSU3%K8G(@1KOLJt)pn`eOWxIfy5;=b4P
zrNE$AZ$S~5**PJAJ%E*fC%p$`=ZyO2FBgn0-8%LY0}ZfJB9Lz^%w`E-<}~1KTf8l2
z#27ZoxSPj_p^+axX4SJ4yq5?Ma1_wqGmtTON?ad_?qWb~q9k7Bw^RezM?spou*Zc2
zUdh%Yzf2!^7~;-Mn}=`1P;2(<_SX=1(@Whq74-y|ZKdcjwcV~w4r_f*H*Xq5Va>Br
zJ_88d4P_m$xBGT`?N>z6D$!rOrte3CDZi_JPe3b1t?S%f==S&?hHNo?jd5!cCCsj|
zpbKBXhWj;qRx{ZeDC*d7eOT5M{fkduf-f0iOih~VGrv6$16$jh=zKJqIT)uKelNOC
znWF1TBSGGe^!}(#g@E+u9>3X7<S;jP#E#-M$EdFvFmTZyt1n#W)`$hn>q;4ZA08LG
z+vNJ2i6(8AYh8yzsIU<{Ti_-v(et!EL#yzB!C8n0D-E6|d}0^E)C7yt7nm5#R?Go&
z`@{MGh5F}G-)o`b4rxP5CS7VyLQ-r6HV}3E&6erKT2Dx(xWy5!JI8d0qq*#tJ3uDY
zDgLC0WO^AMxf9GK_zGG5@<kUcORnA>{m#)Fu=v(34RA*0oYs-f@o+|P$j0H6Pr{ab
zlE@mGQi7t{9pb<wny8icjy7YaYfmA5d9zqo2E4Bb(wT3w*_U}zM>D#DYERckYv~H~
z&t+U>VN5T2n92BH%VO*A+m=P<e!gcMlCwgds#N4YcqHUQ{~U=f5O-yZIL<mGxBSzm
z2-RAaoCyxF!9+Svw^5^z!geg1Z7H{XX@mGXR?0u5MLxu(!^+<zewpeP?NstO9?ldu
z$K#}3{50W}i3DHsb*o<s;*yI~1va_7>l$%|Q)^Z+$S|j?9*p#1`tjyPypQTP@$<z#
zTU%~zgHpT~D{(aUaXdjvY>>AB%rXM294#OoDf=k3qUK2x1XA!jizS|iy}X({TZ$OJ
zCR5LQ%n<Isv%qL-u_tn<(xlzJk#02scGgK6=nwc5jeY&Zeu_pJou!QJTj5*n>uBTx
zZ<uj?5bQq^_qvYf{8^vNBfLle6Yt>;h9(zf39!zooMyt%>?ZAoI1gGDyD=f(N1{BK
z#MdhGZVJXixnGvlMN^>e^3gi&+1O$o&1-_p-ZWeN(uK!A-~Q@Si{qfzn;R^PlOV*}
zni3;RkH7x(anHwLJ)#w&%}%WHzEwA|0xk}#*d1ShX5$)2#i}eOY5WIHp7-hsdzuRV
z7+-0jeYm|fxDw>`m;z^aJ9Zfxk;SgAB_=>Rfwb5MuNyv_R}p@-KXtdS{D6o8WQT?F
zOsPS=9zV=Um&NXQ41aTbkoLQ{o%EX+e%G(;>RdDS$@F|@n9tGu%&!g!<r@rA<l_UC
zL}VdU7NQ)B^JqWy+jh*<po$)*fk&dy)35M0&CgS540u<Ju9gSaw!a>`HloQ>WJjv3
z7XK(qmen)<XlM)9*9^}rD>u~Vn~NiB=%nZi>M1;#o^-J~8Cs(VcXKDb8GGg`B%=v+
z;Hb9W8DiSetSeL-`mXPu-SRpz!0!r7VOAy#5gOkv1C(-w`*?}$Ld8MjK&|^#8T`^L
zbF8TQtJ%=6lsMZV-vr4K(|$ftfZ04Y-uy5?H<_U6&JQxB99RP$t4#j)x|g0GJ+i;z
z=Eh&IA$z)lJ&IbSv(#>{S6(6B7V|gywRhXH|7?D3;Z*(j^;@P{;64Xd9S_L_H9WDw
ztBhEt{c;DR+A^|R1`LeG^k@mAVzXBU`A@qrB<1s1?`xkF9#G}fS~hkg5dZoFCxw0}
zMBrq0Gbd3_|M^5p@0IV~+XhuS1{q;NOKjb`ccTm+1KFqRYSl>jn1ow~Et(!7yzee<
z5n_c-2OlQ2ww+~tzE6^ngMU@fq0D55jJE2dx7DBmZzAhzKOuf^RQ@4IvVp@l##caW
z5)AVt5yl<x?e&^r!auvRbnn$!plQ=G6P-bFa?LYH+<)aAYOB;tZEXm4&se~q7i)`t
zTGv^#@Xb7E&SCJ|6aawG1Ee%mQoxQw8%bO~Ew3HbLSlUDH(zp7J>df@r?)he;&8xY
zi=+7TWiV8?l3&H(%-o=&Ph5H*V+KP9=8S^8-w=gBX>y|?60({RD<A2W7+TJFFHan}
zS7w~f(ZRuq!pTU8y_PyHiQ`!y$sA@`A<GSgC24Q3*jR(xPMp7@4SO&EMPVC=U<~#z
zFK>YK7TeBI8lihS(-`C2gO|1aka&>^R|+*U<zf?FmJmXjf)H554H8vl#ha`O!Mq~j
zDhTc$Ty0D3S6(*a+s|ZA^{Z=vp}Y%BFuy&!Bm}y^80cpqA|S^3K6CPQEC?dXFwM;#
zitDRp&x{|73SVP)$l2erS~WNrU%93AqHJpnuLvo8$zG}}OPpz}JxF*BZ=I%-rq4l7
z24g)2Z8-rBa=}zp6xq3sxgo1iAgFo?B8Q}O+LAw7J#1?GpHEs2`a^HgiAExXxArrc
zu=ql003PaC=I^e?Kd$q<!%F`Lb2!_~>KIES1mJoO@-$TACr}kt5SlZPfdA*RJhwql
zRax>oiF8F{$@VCy6Po<5iLh^k4Nu`P7Q(Wg!)62(Gl@uVe(wogR!vC)nKjrzRID;;
z0_kBUqJ<0@YhZqUD^TNuDPAFZNcJ+|D7Cd{t~t*y>>jCz^Foz=!S%}Or$qb7?5RIk
z25kDL2;iU#>jzoc=>(}%xsj|N+=;%q0gLPWs*nK*n<13(QZHr3!rnvvlfDKRH{r3p
zfhklN1w7UyUD3+I>L2gQaLxHZOw2GH5bf?K6^}=sGBw^%joWxiBJf>8N7G?bj3@&5
zzMkh72gB?v6~?)(wc6bOzcC4rEgX&MvI<m@HT_G)t+m9iqljTteYW=in9;64BIqT3
z`*&9cs{b!WL0MlVj0zvyLafhAxlH9=WOM!np^KSX_B|=YLZ_E;zrXyvAO7fnFvjQ*
zLi~uZp^j?0npE&fbnCzWoD>2uWUjkz(jg#0_7Vzqhd|#j@5+q9C3bB)Vyj1Hv58MD
zJ1%{ds{2{?MEymr9&BYx?+R*yMx>Q64bA7HXg{fmsWf07(%<`neOIrBl%negU?;wZ
zvTQRSXH9!bA`h9TeTql}(bCgc<lqUqyhRqII_O>sw=)lau{<EtNRU&4_C>`pNSKAT
z94#tu(z`$04)X$kAmKF6%REh;SmTKPr}3eY%g0)3$bI~u?1eYJ3|V5H=6}HER*RRJ
zm|AXjhxQWXyV?rHns@+2Lk~N|%482C^hNXWhpQEu=U?eF&TmigTzlIm^lo?1^W1+U
zlJ)odnTA}~weO|b;%{>0?)?AsTrf{Ad-SFe;Gcsd$}+4B&AP5Lw{tNR;Lsfq&wHE1
z_ipWtLam1?EHVN1H?)<{qC^u!CIf@pse_V(1W)c$Jx?2LHzM}_t=r(%wW&U#>yzQH
zJi2Xn=bOv1-YSilS*%4WL02YF&0=KrJ>WYB2p_5a#WSm%d}+MMfF9?$)jY=xDbUXX
zL9wS7y@L6taIqodm5n#+za?wKcC0NdHZ{j^j)PFz@L&e(vfZl1)F5+OlOM3Ax*P*Y
zw=r7+$Flc#Ci6}|lpWIt#<pSCcWhmn&M0P|`7!SZY|efc1D%%*2LNMwN~xwL(lpTb
z@)v)Odj=no*#8VC-4^0Q*|40RG$IM!y6b8k@bKB5yQ$|^31+Rki^oA$D!If*V}ozZ
zB#x*K>3S<|%{k$)@-)_o;ne{FLIFU({2cV&M59F^z#FCPBkl@UX#cLn%~COjRWM`=
z8%h>LoGG+SzgvOqs4!YMses?8+ZZ=DX%<BD^UW99^{JiTFuyPcEKIU>6Mp-<+Xb5h
z_`=zb8-+0+Ope&h1q)71)wv(q3v7=-G1pyyf#;3w+&v{}&_;b>2my^7*w_3M^U@`u
zeU~(Q6VCNoDK4l?gmJbO+7EihhO2zHEi=sJKS?nnD8oQ;qw(Wae|G|4n*qB>J*VC1
z^~CZLYfLRBu`PAlgNTC`F^;6TI{hXrJo8<*RU_a5MM2g9?^=nBKT+>4_K_oKl6w!2
zehi67=JG=-kA`ZR*IddE0Gz`#QtrMImEGX1jTASmu7kn;WQ2Si>`eP_7XS<dgO51#
zU<XX$9=<J8(gVvN2s=7mks1QNEz3wb42OYaJExRO_0I+1FrEb-x9}W5&oPm4ntfXh
z*AR_A#rwd;;8YcHrq4-|KL8JS2&btFO7ZVUbOe2ZQagion)MqeCc)KKzfXXkoIT-0
zV{RFEp$)LF%~H=l>i?e-lpuG6u@?Y>ZgjBLH24Vsnh!uC#Xxau(hM->=6`4Z_i4a;
zpgm$c?q2Ob)6!*fEK+(mJ}jl9r}wzsx72hzq14Ju#bSx|C5*YyTk@vIVWW{ApfrIh
zfD%-kc;xr5{-SE=6Q|yJJn_oL6OqauFb)>@QhH)|ZEYB*h86%A`ePv1D09z#tyVd?
zaPxAL%mRaaY<!##T-!6GqRiU7bXaXjf(&+5FX$9Zg8=r+M-h&9*}doYU85l9MPe$O
z0MV^v@HIHRdeX7+6IGG)AY|6dDAj8+zsx2jJ+0PP0k8?yfi(tyHmcJAz+fRi0)Ia{
zj?&`ADhG5ssh63s0wR9{I2ptoufa%o#hGPda+wS0S+$6C_up8g#YwBgnLY4grWDW)
z$t3|Vsf6uc`jPVWNhdg7hlpbv2tJ&~&QL-*yFLi<S>O_p{xe#^gaQNa&55$Kt{ieI
z8V}$T^rvpd;(p%f!Zxa2eg+MoQ!W#Q5{zaBX5w!eXLl;!Z?>Gz7G@CM1!>A~26*jw
zOX1(EV^rVORQSQY0I~kzx=|wgBqPu>Ku^5^?3GEYoIcE>Z3Ba7i%2HPt?Mr#RtSDL
za&k2089{woKQdlDV`#EKh25?oV?_bqxHHQU^_w)%M1H|wZ=UzxK+t^R;eHwb{;F4N
z3_j;%8Rs_qqjSKvX)4Rj{WFHb%v82J*rtG&xo^GElTWC}Jwv!Lox2;%&M7?_`~e1d
z;7Y`#;w+YS0&iyzj(z#04My{T6A3<L@-U5rX2uoB(A9WYWyJk-UlG0|n)n!`TWHCw
z_NA!?P?1581KY`2%vLt7_mFM7<70T8>wbox63^D>x~c=k^Q!K%!h&~aISCiCetH)t
zbCttc5t3BH6=HbcZU=y7#P=Y4)E5LS$RUwYFN5z-^LuxN=t{kCqLHO2n>`C7aimP2
zZTXEV9=&&;U7Am@(+6g1cEom5fV8nxc?!z+3vHTw(aR4XxcUC=3G{Cfq!meoMqJ5l
zKi5jWQO=CzvcXb73QPeNIH>p)<)2^y?q^5~oqF6ONM<|}(YKSEmlupOJw46&mS-G5
zzZ3sJzazZG(@N1)<O4*X;!N0{K`)w7UFU7j3>4b=tJ3GgyI#%}<`VH2n<^<>zFPYG
z2ISs0k8c^=#3G9vr;=l0qlcS*Mv~po{P>>tJwGq==XLvO_AC?L+ZY$G=HGH!fQI=H
zG60m#_qRtn*s#$sAs)<hxAW5$_W5qJ=BJe@%h}RlpSoRk<1{$;0DhF@)nxyyD!^NV
zP5`<|8uO&+J`4^n@7E{i#wj_nJFBuwsw=p9yj^(v-Hv7xqTHC;uyv9mBq&bEOEwdQ
z{sad~AVU??m%%*>;vX6_(DV!_gxtdcSTMkzOde&$@4|h3Dw2OQJZsDnufkiR#FL}{
zr+6Xv(9bSKv<2!>++t4)3i2ox&W(@Bme#haOY6Ht&KPPv`!9M?d9%m!M!RAn;wRE-
zK#91L0|1<>cODC%ETH2mT@#ig<})`=lwh+uVn2`CfR!1ThXQ}>vzn@7%gr#o^It^M
z`Xa71OJN_s&yR8D%g%e<RBn1jQW(2>a3baWrc`1AJ98{C@n4cDmEaKOHLtS~jtGZo
z2;&I0ysEDf;sm?yf;v3{u%D6;>2s65Tdr@&62=MYFH3ganO!@pE?N|Kukio<Enk}R
z?Z7B^Gr)Gz_<dT}ZGg?pX<%HwM~O;U(nuvz-g`@R`Ip;6>k7vA9W~{U?}D@V3ut=K
zB&r3Vc@gJ7d1pXGUgOdpv90;Kk)Ta@)S2Lwhx~Ii_AY8rwRsPLXdOd}n-YQMh4*OV
zSHe+Dc|mcLFqq2|Jm-rDVDtj>YGo7q*(hAb)%>`pdYrpc?4<`|g)n+_hX|;jD^B$=
zN+n{Xlky6mu7SS%ug^^){<%KdJ76wPLM(gA#HC9f;Kc2SN9rutZCyIP=b_<}fr}Rt
zIW?IO&M6-9JlJc9u|+?)>iPHqc5}!Oxq)H-U-unhMf`gCVZ7Y`?Y>KsK--E%t&%W(
z)eI|FNE422x=ZKhRt*Ob{d_Ao>X1v@oLinXR-H@EWqS6j3^r0Kfy`#!vd-_g+5YX8
zXb<3V>LtWV$8kUKQNP0Bw1nRaWCrI^=S2W^4tRd(3&c&T!*^Zi?xz$~f>n8dmfNcE
zJ3#38t{9uf=}-MP+#7)}`~7IuKcg!cW}&D^a#nXVZ_C|5Jy8JyZ>Dyt{OeRqKFr@*
zNC$Et?({=PlmER$BI=IheRk#gA`+7Tt#?kn;$nQJk@ho{06Sp?ngq;876mL%|20+k
z_=v4F2+nl)>2R|up6Yp}zXHCT{)@&q!$grpg1$x?7<LKlDT2}ep3ZE5s1MrFhNdTA
z>Z)T^=a^|iV&6-m)qMT~Ci+F|y{^mV0nbzNh~UYL>m-H5;Z=gjcVnV=l*LwJCGk;a
zL?hr~Ma5vFAyTaX9^}QtIHy7XN&Jwj+Aux#x_RUXf+7@fAP;&`I0C%0F6~_0M^<Y+
z>mbNsp2)_1qV*4hKP2ORo{UsrJ7QGi`hzbU1RH!T7f(mvB*@E<tO@xErwPNjclqp?
z%A~sP>I;CS{vV`ojyE-{$<a_`9ls>6gFlF=zlx!xhjFhtZAXythmJ}GD^@cQx$o#p
zN<B!n2vov@P#}1>pL<X@P-Y(5CzW37JB**OdkTqdkRD&2c)4JN@^l&u4mHwX`ruag
z8n$kiMBoh}e%^^=)|WR?%Gk;P1HQrH1qnjl&33TR&H$9p*h+})M_j5-Qix9(Pd<?P
zzG@si&v=_b`H*~o(Ki1Nzo;V#x)9j4@yTzn4^w_xu`;>4POSWH7y#ltImBsejU-74
zCa$l8k4dcJHJ@-;>qYT+3=(oo-xvC_%gbmv>W_vC@>4DtC2>zOAsEu_fjk=B-Ca}D
z)2Y*w{`t4hwwGQkqVm+8TOa-^N@Tgb3law}pj@`9lH7r@sbEG>^)BF*RLLTSRNmAR
z$qh}PE=h%H6!rgy0u?TstT&&?SKi{m&h)VT$CeySl-I`_)0K74bUt?x-UVdahoV_L
zBV(m>oTO82&qJ`vNv0*fg`jJ-F$bgQjhFE_(FE^E9#Pu$Zpvadh)i02#0&k}4M=$q
zcbM6W*Y21Ofkx4LIE-a|*3VFQdgF#hS+hW&n?__CtVF@A^^F8vXP49fngLEO?I&i(
zCnP}$+%!FcdPZ}CIK7UYbAz}GsJtAp=5NhVP4dLLzhV<Qy1-VI{<QEOj3KLa79%iX
zn)AirTnr9KnIX&DB7PdN%j;J+3TC`urH=+Lk=F=Eu-*0G;;|pw6dp{u`Z;h1i!TIV
z`@WZ@ae(Tk0ll`$hfe)D4g}#L0cTp5f=Er8da8|L!e`|AF5wBQo0HFBI_kW?vlHj|
z2c}-Zb^k*yV}JNZ-8xw?`LDVaW#k`q>&MLRiztEi73S|^zrkSVEnspbeTA6zD+us2
zUMGb)@66Yp_83xKjj`sEw5%*?&mD5Yn2~>ipaw$D3>3jYrKy<4*rDgGWw*ESE(2`U
zy$Jd})eZc>o+NoUQi1~M?QZ4xMaaqK=w=XEyhLA@P_5onsl#~Z(%rQ3&r}v0qF`pz
zj<C>{)mHK{sh-4oZrQ>+%tlB}Rc&_3Hmnnej_#crOd6&PB)r5clj9ST<d;aHNy6o2
zZ)@jweCsdc;Pj@-w)_3=pZ$esf+}V~=i=pMbv5d2^2OZTB&=b&nx$*BFac?Z2Tcs|
zV3kA;c`&vrX}e5V@^3)&7d=B~(yquWFONRmOJu+VJ+cYLLBDdK#*|E}LN80@C0pA&
z&$#&;5Ft@$meUp6^``<nVGGHQFP&b$fK5#v!Nia~QZC?+C1MK`@xw098hui?+rv!0
z36=i=?@<D&EWpOg#<Dnlqmd7-g=OpjQX&|y7==sqZg7MZH5dZ<A>|h1q<nk7R<ScW
zJ6#K5tBJG>P+hS{NAGN55#euVPD0Ys(gL`yCq>Est(yh><i3|Q;7wqq{pWKav5*<7
zXSACuYPK9s)^XQh05S}L?++pT->(dRfB=r?0mMpoCZ%J|dPe&W*v$fN?h^3g?`+`j
zcfRz#E|{7Y48=A#H@79xPH^`!V{%akXDTqxC>TZ<qF&!A$?u+mToDNzz*ZTz-xt`N
zECpwn4!VUIoxi?-GsyEhzWHy^mQ>6#zx?|+<OtO?wkKPYCfzZbWI*gj1X#$MVO;#q
zGEZLCXy08G2)ha?)9Ami;-@R}y1g-O7w8Mw9WR^*YCW9wFye#GjC(YQE`Tl$e)m6=
z#Q!W;!S+S~6p+mTJYc%f>lS!Ui-F7-qSr|Q&Po441xuvKBGlI~eT99+Ahqq=UTEb5
zvU~j#bYt!W$oQnWZvy_bEm3FmqOLn!_G(q1`WJ+|MT88Dxr`KQ9RSdbazF0JE+lDi
z(hnVe{rQ(;`{!BSz=myOpLbvp76o1C3YAp*<tqOLmG4<31x$$Z_mjp4TO6&`b-u&y
z5Q6aIha`CncFdeczIxCi(v6t(=qcXaO6#soy?}iuJJBpQqywkQqUS7}?QASl<+)Kn
z&)xsu{RF8W!N!xIONkDWy@J6DlSVMVT;ku&%DrC%FI&Tq3ES=c_cMSDh6on84KQm+
zf`hc*I`r0ww~FJOUoF>Z<6RN&Klu8Y_1|Bgq)amoFOht;?JwH-e?j-L_=Sny+DeKz
zvL=^oMrYV`dj8=0uelUG61bDNl6oqok`L1A$mC}YLrpv#A2gHy(UBp5cwYm>N!$7F
zmjAb{!g6bfB#j3BSI57rchUd#sv)X@xw)IG!~R{M0tb>?AiF3I;o|0I2HDmpiVT4g
zl#!7!h&c^LM$W+o8(r@>3-<qRv4Zav4R|<F>#_@AV9vX9*FbQVEab++#$eyE#_|uk
z9byiaK%sv|jQ^CW(h<@-3kyaD1_CJuheOc*un8XUFGqs5j<N$2R*)xvrv8n8m$3Zb
z*T5BmfJ9$CN&Lf~_knwlRM5ExE8xF7hy+ZW7G<Vy{I4Ygr0!!g>52kCI?m6WW_?Wh
z4KrAux%hSLV>wv#LI3?P@bX>whfRYiX`y3kmbNB{??GzjnHM@*)B60hupama)r<IN
znD{$bP|~u2!(3UGYU&-h{{#^*M4~UivQPb^p#Tjj^SJ@&-1Q%j6;G-Cu7;juz)<Vq
zuwB;4v>cv)+d8mcN-qFif8FmNxd_*h&ppXiU_v2mIxsx!Kk)wVW|k?s(8XAIw8HY%
z{-vP-;U`cTYM`T-;bjy41<e0>NYJ7XQr3Fnmp;&v5aDj`{K5VH50U5H-CqX&Wj42l
zzo*lEWjt&E{=Gzkyh>X%CP9_+-_8IkF<c&@apr)fciV!$y773qA?EQMs`?R?*$b1E
zbBV^!j4bmYtb?#uI$1mg!@W{~_oU&9Ck#Y;Bj-Jg%V|yJg@qeie!i5R0=s#d4;quj
z)L^6M>!p3uwj-@<xD!-Al+}{M>$Gk%cEc^!lkK_!^+}MX1cr(S9heP#-vzZl2rX$8
z@=^zSy1KfKOhuEEHUa5GAMf3b<bd=Ja$MjiI5W-He_I-ZdR{Fo)t445Nz7B=UH7aA
zW|WZ48QAww$QkKx$}m{-x!bPogx0){2W#<~nuu3T&_P)w2`E}rc_m2f-B9nc7L<?B
z)!ps7J9)l1O?~?+6p8f_ZiUYt%o{EUe<OGZ8noc}Ic2Z^8EZc)yk7F{hR9hM*^dZk
zt=WB3Q)7`;!<_h#Yg5-8%a}jz5psm@IHJRkeqTY3wg(ZBgWQuH245^&2ZjtF5Wb(>
z*{;)$2CIRndkPULfdK#xyI?_~f6F%AK=WnclH%>0E9hx4tRZ!&8}7woAeoUQZ!3oe
zQi%+7nX)EA|6$qY$hT|KPE*B63(V;)-sDoX8eTWY(J!$6g!=_<=u~}eDQTCO^QM5E
z%=(Q<$zw8Bbcgc;PtT2AR10tU70T#yutV_WOSkiGn%FXz5dpLOr|*~>;vbdfK~vzT
z0;-_Cfggt0XuR-T)F=miD(r4AOg}tge_}5bP;SbWK09Pu#9#2_b=;_1l?ZN$0xXzg
zNCBesZl334O}n8RST@D*U|T?XpAzExyJsP<y;^-tNMMy@qyk$DfGsF@qOx7jlk$h3
zwizjR>x_h;Fo~lIkT_OT8Z^?rU#t9dY)Cj!zxHFPXUfU6R^Op)O`>+h#?(<&`_Iip
zy^{-Wz;4Sr0o`^bOY%EdUe~5kU-oRnm}++`cs7nW7IQ4DV7L>H?zd%muv8<zD4_V_
z=nH#teoO$Rj<axzd~(h)<mnLycfWL_&y)xuOCZq-&5%d0;_e{g45^{?LNUu;x2JTs
z^jJ14_5>fU_MydmXOdp&4_Jb+N3fSD^xC<kC?FXkxzTs^e$FAo@f@k?ITXF)wy|Ci
zQl6W4Dr`MH{LArUUzy{A+UJ;<P6US54y8|zzDX<us??>U6xe^0Vy7h(|F9I!hq7G%
zIqeaygx-=5HfkC^vJa(_Y_}XFCZ>-$Sz&E%SJ>;qu{hh|L*Lxx7C?5k=3Q=aKikwy
zbrRnx>@Q8h^Nk`^`RbaGU?sz9<$Us(i80L^0fRhzX!nZWOj6ydD~J2&31`M}hO)7-
zh7+Mh^0rmMukyT?@W_Nr&|B^I8t_$Youxqt7|Uwjw|XsJ94|3@EniJdm1V{!T213B
ziNYh7AVhdRiA)+|)gGeOn53%JoGU5~aV^S8YA`W6x$Q}Am)vj;wHu$!n;FJaN^?Oc
z@OB$NEGfqrkt827F6<7kFPn67^-=o)p6iGQ66NXTc=AmADM_jN-0k>I-TpKM93as<
z3hff$R8t}9H<s<~6vLiJ8VZ+`YPOxs0DB>N@I#&gnx`J&bZas8os0f6P2u#U+HRX&
zz-Eka-zXKL1OJE5PaJi3H?<lOFu20J;j3Ize3_NO^Z$8?iv~D5-Zs+qj<us#*2X*T
z*L@Y!u|mC)Dk!uM4jbEaW^?J&M8hz_vtMCPz};Pgt3)o1uwSn)?1EdWH#@g?UxR~<
zDs{=jAS*?$vUKmOf#>S_llQq8%NpQOm;83~|CBxKQA6<jU996F@nQS+CVE{S_QRjs
zc)r?#Y^BnyTx3XD>=6*6`Fn*q;1}`P;CSa|82|H<uDEHj(Jt224n}kqO|}3!{zIWB
zlPY8wzc=FQjgI57%1o{|f`=#+ZU&V!z4D);!8k&ItUC&sE#jhxWV6kD+V(UWzIgv6
zj&=~;z0d~XbfI}~2!rb-xQhO5;kUo#37*@#h3L9|@Ot{*{KCp56#K(BnIna1^rWRm
zB^x1D1ZLN2<z1D(1&C{|21&H8*#Mke;iX{CvnJQKL^k!uWBB^+5r8v$ISojYS3`&l
zR+AugNC;prEI=Xfh$uQh6c>HpqUYpn>S3e;`!xrDDJrUn*>3EB+gyft7#CKp@g(Q+
zuebz8w_p=w+;v$5l!b;Pu6q2xRbU<tWv-kl`EdN3MQ7`vo0SY?gE?t21N=N7GcoN3
zP6U`Jp>f;Frh6x|&h}T6G?_<KQ;zbt`;2gfnx(6Kg1gHtrfAUplig|@Ob31L(QKEu
zJy-n3ZwcV5WQ_PFSTN|7=-?4;lMV9K{%I>EP%<C{hlx=zUEXhG#y&<~&<Dmh<p+4A
zuFDa+Ii<}iC%f~vfU{S&WeA&ugv^+PZ2{KD0Lvls@O5IFxJz~u$PuB#ez+_>makW3
zeSCw6TBD*W=Ox+B+AF)V^Lo7+gMOd~ysW9GK!yB2H?D&F76oWlJ5`-74Ts4<u$OiP
zv}#)$*{KRHH((ASalQ*gcfh4JbmCICL<0EKwZr`k$Wmf3-8zdKv=v`}#v86K!{g(M
z1Av`kVNTI~WSNfZvvFT*>Fm*I1)`}iWX1}c?W+K=sTtAF6$ZCOzg{9?{W`55jllb|
z=i8CgpYDRIl!l7baJ9mk>NKWFqIU*JpbTz3BrY?>z!T;S3Nu^y_&eX~FF!K9GIQmP
zeMjuljBQZ#jtso66rUdtx4sm#;20e7Rk;cIp*MA*bvkV07Kt%WDLhd}dd9-8?xHLT
zX#;m8TG~?m=Y}>IOd3T7lO-m)wY+nK*DI`EPu7NTx)W>2E(ZJ>fKS3Xzk<Omq5wt>
zj1huOzDz2|ZK(oc!|sI;aYXI+za}!Q5<KoF<u?7j7cpWx9@sQvFspA)8a?n#TFixP
zm=M?89@KQC2zg@mKQV=Q@5SYiFD(bt`Skpav*WEo65oCxV?h<bR;uS|{CuVX7H)|m
zUY<V=VNSQ;KPi`BDVZu1leGwxXW}!#QY}{3S<@^uubo|%2k+u_fAZ_njY5_rj%19=
z-O0nsQAUeVgI6CeEuhAoYg`l6X%@&9LKs|$AVN*1_;3G>P>=>z(Vcq0VJ7{s{<Uh9
z-(htI$cP_2+Y`N7c6$M4t$MG{W_LaD;p18oXH)L`Bh0^=s&+7Q1|(&or8VI6^gL@O
zGj&lW<+COKUTbcAcuUNiaeQPaJ=o`_&OBf5rJqkoTzC^o_G<l`X+nXPDtHF^0ZUi|
zbfc^QRH#3-@BspMT{+kV6Y6#5r1!LeIiK+Hh)NJXtLI_>U4`Z3qiN|d((B_wuVii!
zI$+qW$<GhbAac{Z1)QxHCc>YO_QSlcfHO}~TMtn0=sAhhri2~W2P*4Um^TP88qa%e
zh9V}nm1zy|tw1z0MzCG()H3Nll{>G5zrGN=&Q{l33@z~J)|6NTVg01XA~Dc<AQeP^
z(eI$RMp~Hv3<R*hqaqxAZ^H&QpXJCG_jL6d-1#>_;*jW+PN~)Mmkv61P;6=9pYK;M
zcWMjQ4a7Ipfh8_qyV7%oQUB>wtD-Pk&!cJ72c+)(LZ?xr!#>*g8w{skPN&bTNF5x1
zJEX%y@noGUa(0?_#!&GK<1-pq_=$+(Sl!20{5fRHRQ8!JJo0Y_1Goal!sx#-UvwT9
zteR|Q2=sUAL5`mBLVbP5)H-LkRUprIKj_R(vhM<pKd|GmUPe8i)lATHwHU;j;y5HD
z8^h!ZFpb8Sbi(`S72%n~hPw1@A!EQ0%aB}UztWXx(@;G$_rX$sdQ7TZ?qjP!7a+pv
zix3LiKFppUox7I(>LhA)(>O`UQ_}6S762+04l;E`_YEHF_|bn#>kti?P3Z`qkGSu;
z&0m5lG9Jp1=`oS)x0TzHTQqrTcHwjWe%GpUwrwrweOPSRzCx;A95i6%>cn?{$O~xJ
zjWOrpY2j2%-ycqzrIHXa=A&XUEJI5$@rGG-o$-lM-FB)`P!~QW=la6U^pY-|T?{5v
zY=`CRKer0@B^}vrn188ctu6`?erf=>6B#y|`08$4h6rE`#CFrKREYxR2H+(ej8!&7
z=XD=|#cR8BR`tcqny~tazgdbaEwX|0zQS&7!%=1&+J_c@>|NJ>H_yxI`B$9)q1bSo
zZ-bY-*}p**>R(8PW%J~ydeZkaRr})jLCgbUhbz~}tedOz?6F;@BOVvS?}jgTn?{8s
z!4!zr0M44A9RHuE5vGK0sa>A#h9$a!s4slIp{U--{^3)Y@WuL5l`J+r0TNeWIP(H!
zD2roaGJl!LdA{FHwl=!xX#4h;2l!`Hk+Yve+m_Y98vVo@Rxm2_PML`B8j^qZx5#ES
zEk3VR-kGBLOiaA}%yI$hLd?yt-6`{}{owGH)s3fizo-jU+8lq?EA+rHdFLmnN^PWj
z(E1gbNrit#!^aRH4$sa?^1Rsip2W;1aSqmt%gvI@dZwOpMTXDa9_$C!?$iXO=!MoD
zk7=u1^rpOU1rZEn{*z@z!QT!^o#eqKDFUNuI<wHFgS!PIeB3Rz_qUnylf0?o?OUO0
zdbb@Q`MTxv<k8;IuRqw$)z_>x)^^@CjDAbdPPT>05~T~q21N`oSS%YKXZ;hqLlGn<
zbCT`4K{%=fkk|7TY)zM`vbVuzp_3_3!<Eko9&u{zBiJU8Bor*5LGxTmcz=Iwj&TSR
zxj6&W?wtwauuSN5)2NNN;l$_z^OX8+k{?8IChx{_)^%nF0PK0Leltb2yL2s-n2#P|
zPbgPUudet#X~|XuNz8*2II@Jo+-8+$piO=F2I2&-F!yxc-vBT46q;LS=lY6q1xN8&
z#EYxS#_JGnP2Tb?;D?d<KkZ%hTU1@N9tH^kL6DU0PzgagMkJ(L>5y_@keHzbK}13r
zQc4;LQIYPF?o>iTPzDA8B@`rtyYc(X@BRh%x%|Wf&)Mhfb=F?{UGF~YT^M~!ibYUf
zF4#|HL3Y?{aoDm4_zupEO@3ENE|a-O%^3#^+@lFE{MH;zLo+5%=30Le12N1REnx>+
z;tKWw)vcpuk9$`1Gv6nsjDI{I!H;%J<A0Ur;H$`9hYU&wP>t0RvMq4=2Zj=t4y0r}
z?&arO54hClC|RK|1v%(!WKyuej%K=a@^b0bCWgWIVNmd^CmHjJPiQe&qTEni+$sP5
zDse+@jTrj&LX2|bdayurwmqo$zjJtS41XNQo=sM}vePH$r|@X9?|z`zk`vatlyTO)
z-b;wvP1?d*b-Yl|>R^Q#=0MiGhA}qdalbn%G2Jhj6EpLy?HIN1;*m7>A4MRt{(;&=
zA~BG-s~ecvn?n(F!e5i2g6!GglX1-@KHspk+ssKggA23bUjeo{02SfARp{fYUQL^u
zBE(towqOHS&wJQ-;h@N~;c1U&M31pT0{Ad1$2ZyT;2lj93k12a|MtkgQL*0gCA6qz
z@a@sz4)ZsxGJD|Gmekwb0eF6zsKcv*Qui?j>w5D#l%CbX)-xSz2ZIY=5Hn@_@9OSY
z#1Z9K5nrRiuNo|ZvpbGRp95&Z7~~y}oN%zKeFw$S#5hVU`Q1-x5Bhj+j`gA1TQ~;W
zG|f-q-vDL6pqNl(LwwIUc_DedTZ`)s7m^}CZYz0EKcy>tjTds}5i{6?IeHW0bS0<?
zgo9l+FH9vXOF{*QQy_hb;h-kbrxIv^Hyw5<%eGV{9v3RdB-F$lL$lAc`Gp^JLdPAG
zEgY8fzLY6Naylr{7IjwCUgOrdK`64N-^pPpQtJ4{D*<FFO~6@qGh#02{~HatC|Ej`
z95uz~Psj_{jvySE%d9r2`CB6<HzS>IvpWq^(~9?Nbx6?Q&4KoGB@cp=bKfgkkXrBE
zOjupk(TuYs4;xhuN`|ehmJKdKI?Ot)o?d&N?eY?jW*XFB-L8d$<_LYgiX4l2DhR9b
z22l3_qTKNw<a%3X%%+#HVW-IWa;3EAyH|_E&B1MTbFbxhJ~e5{Wib(sJpuU_+fb9r
z8!O>|*E}q6ktUN^tX)TmCQ<Yl?bDc{be6ZvF@3^=Ha+M3DFSx&DPF9ayLEG_JGoCe
zRe^ANXYVDMzYCBs?@JcuX0&(`ZI0jgv33RPv?$nNYynzCmZa$nxw5^$(aUs9A#P6q
z+jmq8f$Ta?sSjd)M5o|w%8(l73oV{moM?tr$vPPwO1o^^b}l8_I1H+B&XUY!RQ4==
z-VbcY4QsTO=WWF7106z}*?Mo=sm^*m`&3ta>)72?XP@VZ?8|d$fPe&&{IvFF?x260
zg`ay!oaminD8+_FvEDx?2kK=G78u`8bothEEM*)WERp!<9ZrY?F+{t2dCW<N3ls9(
zf*I_2&dDbRs7Eg5WG>s=p*~A2rJm`0<*Y#__>lRa=i>@v%a^)otJe(gGbA`ScWdH^
ztR}$rvsVa{>lhTo!9BWU4~N6&n_8ZE8wGRrOI{7cgOZ}<EimhiKaD*=DA-lgy80&B
zhmWz<Gbni=yy3)*s>Rhp)Gg$#ro~}`t4T}hshbvMn(v*aj&9F=<bp2&3P4D3Ke0Ex
z1|(U-^<40zer;Ib0O8|M)xcmqubCjIBlRIw?2&1i-2o}_6=w$M44pyL&zyOdMSJ{n
z??Y^st(#p!V~l@I&Qne4$V+rdpL<PSD)fs5Y!8v8kn5Sp_`_SgJ&v}Ag4RokMASi+
zDd-^Z_-B@Rokd;%*u_zCK4=Z8@x@oqD#D74e>h?#QC5>)m-ge!Z7(<;WkD5K46`j`
zFMeFdqkTHGT!mY3R3j!N*?G755z%`pUxzFlkszk!Bd3fbiIj1@$c<XCOVR>RZ=Ko@
z{%`E!iS`U6Y(PP`WH`<z`PL8+$P4cnaLh8x8etD31ygsp7rvc~#s$}qGL=?=9Q>b%
zArb<+?Gnm#9bY~!BrNm&{c_PpxGCx|wZ=5ju5Dq^<4E+7*Gm!4M*&Qaebrq5M@a9=
zfn+5bCDtIh(u|886!!<^Pdlx*sJ}9eiJ1`EF%Wt3(rMidJS01S+DukE**`IvCSH<z
z@<zw>ZQoCh^R{#NOM_oOk}vP1C=*-g+xdJ*B9zP@Y@NEsVh=7%m2q*t{^O2VI8F!s
z*0z8EAWKl>NbMN8Bm0l__z}UfuCJ1=HbGqAWA!I*7iGwPSZ*SC@dCyUVteGPZQ~zz
z4uIm}Tojy-BT*Mas1x<8)d+E4OKXg5!yNh!n6`)})@>fv)rgq9)39U?``>t&ejw(y
zv|Z8}Orma&s3%kBD;lke2_1`Zw_Ye)t};3#MT9_4(O^A6NWk<ak|8Vr>cuCaZLYnu
zKk~vt?odD@yIDRkC}(Kh!{_o3rUe$*$kqJSe)a@<aGk=>ns0Hn<KtVwnR*VVO;H2#
zviCX4+uuBx$3O~45lE@STRc<<6m#?}`%6K4O;D6uGCSI+o+kMkGR;9YVE4}!0QLb1
zDi+*MMBnGpbTPQ9x{4wR*Ru|>@Y+TB9w+9TG6|#0Uo|YG*~s>1oyV`rs0DISvaI9{
z7~{H}k!5-G(}8)k&!1+Go0PoOHAGl6Y_CSbg)89Y?!6Qzn13c~ch04d)%~L0os<(#
ztMLx6!2)NGF>cym|FxfN&@MI03cr`TA_`BL1pVU6eN~S63Mo(Rxl^+hPEOAz+hg9F
zm`sfaUmg$&l}wA}vmu`8og{isI}W^N3cS09ZztdQ|F9EF6Let;5#q!#FT!6d%uoKX
zEUn}7$^7vEDZQXhkQWJ12tszULu~b^j;Xuv(W8g(^o<AR5Hv?$!QzJV>ZS%`3yM^a
zeAE=ce|^;#0)8z*)U|!K(_q347QnmrGqOB?5=%Vmd14Q@F&;{s*_#M++;ov#;ZENO
zz~nguww`Lf(6D#Qss6{h%Y<1_@qFH?B<1Y1tMk^YS(R!oo3d~I@RVgX5lVzQ9^3DV
z<Im@!EXaXz%p2u=@H+Vv*e#Xt^I*51&!b;%`u#Tvz>qB+kTp+T|1qEMliFmngbeh?
zZOi_eC-{3{Dq!%ChXiwLKaKx=5N~oY2u8*CIF<ad;DNCQfORE~aM!p09Hbr)6I+{)
z8?=5H{rjC+mW~(V5sugXpM#hKjPC6{GMoR?499nfMuGq{a0IFM`*RQhFi5>L{1>hE
z-5gyt0XX7IcObKke-1(e1~E@B-vPVtZ#P{q1$^U{9K_k;M@aZ*kOyE80j)Rt|H6rX
z|LMjLEVauVQ1vUa9@}6+5e$;Zz2^6mdi;Ke|2OylX>;E+4@?71!)F`nynz@;>FcN0
z1x%}pfv%U2R25=!6UZ_-Pgj@hS;<r<QXgwG(2F9lFGXMNk6ifD81UuKMHRw%{G9^e
ze>YxVw*XRJ0^FcAn~UmkkZ)=&%#R~DvkN#n<SQLz_sy@_tv44y>#Xgysq5tpSnfm?
zj!s6ZwGVFwL7%y}>u(Ph#jLNKDxU}GbiT{pay}W8bTzU2i2R4ub)}xMX^mEp4p`^l
zR5KMGBhg=L!HmYR)aIm2E>Iw27P~bK3Z_Jz-Y5vJ__#Bs)!b+&s!ge52#_jlG~X{%
zdFa2{{(z<o6R)SaY`nK-ch2`g7EbjevNs?B`W0I;6QDraiu>C!5qR&6W~dLhRyqUT
zjdehKt9XNymVlHY^MMygs85UonWBWqwkFW}HxS9o0GMH*KR%s#IcP$&a}hZx)A`k$
z2p69u2}pgtdZM?#BT#>84|Hb$G!z<b<d7rw@IsDqRG!vDs9G-3WV?IDokQ=jEB8s@
zaES>03Lvlsx^%d)g9hjTqDrnkuFOyO2^UTEcmp49*C6-`?(NY=uIxe_?13sD8sJX%
zx=SMGICg&E-8!GPfyg__@_TRQ&Wa*vH?2F-k!ue{3h8ypqQdU9%%N^2hqUYFryrnG
ziT3>ns)bdVex3*%N5@kXp`O~^1-awwjX)$Lyrj|Qsyw?;6nT4FyLjwGB`Ae_cM}}+
zmuy=c?a`DZn5DJ@1vfN@zHmxPbLH*bP4Qs%uuKF8nV#i*F=|GYYGkGsbYuh4Y>}i6
z4xr%$QZly{DwE4_Wl2;eN!DbqYF7o9FkGKD{|pVgv8N$DflJgu4x}O`0j`y*i&q$~
zl-fIoycJD7av!k%q7_-ON>o?UNwus%G9z69g!$LwdPcWYFNu}9&>meI?y~c~@O#AV
z%7^SGFv<H|Q*+LUL~W1c(9R=4mm?rUrj2T*ID0a?t@4-{I0Hl-lzMW-ynwdTy(!@V
zadwBCqpg<&%nNfM+rNL|@kQ!)LNob_GtUk9A`;`^DkzQ726dLGJt@=CBb73Vh`^r5
zms?n!*C|XbyfIX@jVg1i+0Bx<lONpO@)=xE`?2U}Py<DF%}$razGP`AnxiP_%5@j2
zNWS|U4kBU{X}dP=*_TdASCnnw`3BHCf28`uC$k}R57kZl;?Mii$*ITRsCGNij+M<l
zN+7R4A5n>co+z#+X+Ynzy1{4G7V%(_f=b|yi}FLF<+B)`yEhorXs|EiBoCWNO3*<!
zZVG8&xcj-tl*h$*V_HBvq@Kewuw^_pEs8lc&yrlq@W|JfZW_)h<7T&3hAU03bST9N
z^QO#t?G>nenKq89&q#I3l4&+N)%$A=0+`YYwc)sXuI9n2{u5r3Cy^5>Ar1^@ti!wo
z5;@bTE+@Klh1!lOyuI3#wtVlIuGMOGAu5ZXl6Je#XjmR<kAjZQ^wgE2;yT&}(w-!Y
zXPxXj|9LDS-GImd8OayfwhK5JOglod)~MRnr)fFvg_~-FCtbkG1;n@CAHsze%3*>(
zy{U<aAmI14gNvf2y9F1q`;leYWO0f9Dt^nz%Yez_VJ$;cOh$s&czIlZB$*}cxv&ZP
z6RV;DA_}4|2LD{GR0Y(bRBc;?*%JV@a_1s-3SDvOCqbktuYUg}zDwsTN13>GS~4Jg
zxywZ9Ql7WqPYbW>wl+{5Y2@A?FXsE*`Lr|Rpy~$gG52yq@5a+fKEfBiUU+Y~a+NK9
zWQmS=SHdSu#bWiH!Rvx>>jFU&GP>CG2~^F5L2gUeYxu{fv>mC>i&Z6To$uQq4Z~N2
zhyeRAvb!<p%KGNYAfK3GeT1o5E)JtZyi8TN5`)E9G}rK>ew^}Xqkb>8Y5$O@QUtC;
zg==%gxOuPFt;6NJ!7NO~&$WoJhr5}^x;-y)`azZagNR@;kSm#C@e#|BWM^Z9>8|uf
zT#NAF(pFU9sEoG2%4*0IaCC$10!h7eQ6c%`5K!7l))S9)ZU4-DrXjStPfGD13&y0m
zMA2PMq!UTorv?-kJq(^iH<&(<T;{Zsf0l&v;KexuW=f4#EFMNab-<*pJQ|_sf>Ao1
zsa{qi^``mi;@1?N81-Q-^wNiV{l1sw31^lixZjTWs@G8HQ$^ln%~zhbwSzO^?6jYG
zl1=`c&#_C-q!z`S%wRHm!o1AxR8&x6l@ZO1nx{Xt;;XOYr^e1pV-58zae5%rj1Gea
zzd}4L@C~sb*_oPPapg=-Aziyh+gPS$v=+fe989q}CqL1WI*}W1!;Lp9zOO@GoTJN?
z$moH1rw5ulDCTZKxa2Z}W=`-ZPE5w6W`zOYW4Sm7i6o+v{-&Y&lid*M+h1LD&n?CJ
zCKsm^r+uA}FIwbAa^<_EZzoW*L6GCF>^HS9+?*zjd~xF8txA1%sNj*v=|b{=dA5n`
z!=d+c9m?)clV3C?yv>9o<_m<HkT%N=D0^b3-t>VC0y(3y^=fOg(55w<YUZYH%)uxg
zagRvMrKq^za6{xpyo3TyqDf-IYrjnu2hV{Yc7t^zR-4rEgXIm@w1yZRy|}9~2<~15
z15|V@sz8DfmbDsYP^r8X&L980SXaVFL1j*HGW?NQwF_&OAK1bl4m|JP9=NGrtIe4!
z-ncp&Am2z>Kf+1sD76z?%4a)(aicUWgY`4xI;M*gw-%?JSSj|BG5j5yp5=fkX)xBO
zHQ7v-t1GcR$y3E1sA2SZeA#@@IejwTDu`xMPC%IvDO~b-?!A`0&|zaXY4(N3Qz>V}
z{T#e)!*<7mu27f0w(Q%fk26oYkiQ2<Fj*iN`Sw#Rr&=h6Bpe-9SF0VCk5Zb`hAcAE
z8%iS4ATRnIGZ4K}4H%NLA7C&i<3CGj_H=K{R7+<-hBBap^kX*rW(20;Pn`3GnkCfM
zzO`@%v#EVYwPH<ZXXw09utd=f=9K^*Nj5Uc*__`H2?$BB4DznLH;6eIk#1pS8_%}1
zvfwp8rI++SiIsmy9c&zw96tIy*Nfgt{O(#7+37MVMpagSYJ(V==F&e$JSN|wYn^-T
zrf%9Kvko!zQ|u-|J1d;Mu1MdCl`5zEJr07oO3+*ly97miey>EAJV7r<hBr466Z}3@
zT$uiT8NpxfaeUH?$2OUVJu9c@`;L2shte*PzrU(P$^?&DK$A=V;4uV($8xL%U|{$g
zO#1F(nVooSeIpSd6ITw%W$+fQxRCA4U=&(m8}%UQU1}-8;}7TmGCj|bWgsPrSD`Ty
z|FNKn4~!L3RZh7VXl-GfFI=`%EEGI1-dyqb+)q)n6ewYHn{&@`PR84_Z#OapEDLCI
z+YAac5Nz8C==lVg{A1By&sPu!;}}ylD<enLpeS!>%tb;>vHOhDUM`@kZBH|$*LyKW
z#z^!Ky{*TFa2=;ZR725UE=5_81rzmGN;XV+E{8Xv-^FDrO5rQfcsd}2l(7~*$|dT0
zLQV8rX$)>PWXh=Qv141&#G^6z3%ozVKQNL5k2a-zj-6=7HjmBt8qUs_mji9)Xn_-R
zfor|s)b@s$V~@>@cpNTI+h8?pSaO@%>GPk7BzT<_6f9nOg}T>l)eun^;AxRn9MfI(
z45oz5=Yjg$M7686WD1m^y$E|cFZH5JC9^ns{wq)QpFse;WgIAPNFK+dJ=7>Q5keYZ
z`y81N==x&+BbDy98SEh^rnC*7dRor9KN&GNOEy&|_h8%3)963LTnQX#>%00)aV7NS
z@JR;NM5edZ(<?Yhh23o^sPbN<yTj=x;tzSXeJgq6YhVn~GwCwz|8eFtno#s>LnO78
zF!&^GTQ@Y9XJ=FR;yTdg)YJBpfglgNV%V#I!ZSGHm`Fs27IrryRETLTrHD<k)dMqJ
z=eK2w{(j-uT3DO<fR>7|;&8c;2e~J&!aLivgv&wr<nDUJq<EI1k<4=bn4X6~MJYG6
zNI}9UU@|sAJRrlh1QBQkz5)3&LZI|mFd84S)Yl`R82wP|?0qpGKlX1*#heRvQ|tFN
zZ9LX5&s}mHi}oV0Nx&Z3UNMbw=W`*#yoyJ>PWaoAu#GT<fq361f^N=~SL+Y@@+>OX
zkuCR5f~0HmDGh<;wi8ekoT+u^#Z?ZBrxy|*W1yxJ|Im~0z@r`KKVFHghqcY1Zg1Pi
zvw!ZWEg(qBIQ{@Y6k#YSLu3mTl)@62*LhqB#^P%ZixB}UAYr0=x&xKG{By>?$75i<
zz@n3s?R}xC3nmUZeX-dB7;sX;uOv(J<y*(=b4u6n)#CyIwZ_Pv5mtBJREj8-VOVTz
zBW@*kO{dQBZzr$iioOVBf;fmu&{#DID#GSIAH_W<xOXe+`tk=VTo;BC+g|EMGWAGu
zztLKeZ*J1`IgC1*<Hdg(9R$uLywc%|J#e)>l|byHu@kzoA0MS{)qHjfVRKw=oRD`n
znM(XBuWMuJL1jBvo~tVZ&XoV0)|?9-+eU|x4%+>(MGr2>)rK1tRG;hK>BJFFQ-{og
zF3uoDq-E@Hu{8wC?b6roZB)X4)-37uOcCQs`=RkGJVB{O_#hWWVYQ(y+~>rec~JDU
g{^fc;Rn12@TSDJT<?!tZA>c<vQB$Ev-tzAM0EI>Vs{jB1

diff --git a/chapter_stack_and_queue/deque.assets/linkedlist_deque_push_last.png b/chapter_stack_and_queue/deque.assets/linkedlist_deque_push_last.png
index 408990870058f6a90245dc75d77815fe079b435b..c4b1296a58b6e74d2926e6a081b3af72f5413221 100644
GIT binary patch
literal 62299
zcmeFZby!tf*FL=2fOK~VqSD>n2uMqJr*ufC5(3iQAtBujf^=*I5u`TVNP~2IYkQva
zocEmf_vic1cU?y>_Fm##bIm#Cm}8D{k9(|e6(t!AR8mwB2!!!cR!S8FLIf_s<H%s(
zON>$u4)}s|Rh5wdRemMk0saweq5aZQQ4z!dTqA=J;c!9luqMD?5FF|6n_;)e!IAy<
zS{07&KW%_M!)!nZzuSXAy1+N=k1_BAyXTK@_*}TZddvm?*%}d)3;*XecpPXA3Xl@_
z1-?+6WOZCYAk1Fa4_p!>CK)hp&`T+Cbx*jx1*B$jjk{)N+zI3z1l-pWxb&n?>SYfN
zUInNoIlvL%Gkww)6N5vnxwTP6pqC@Sd67s_AX|kiCt*#60j7`5e#pplBDT6XSnxUA
z>!=ev6cL%8<+S>md8IIuc9_YLMaXK{o=J&_uL5-P*9WOVuKX_~zJUANi$x#D1856c
zvj6+cE4SUraNO=C6?J_}`(Gg$YX9>V*v$yTkCLdm(8cLUTAA+L4i`JD#<C6C+$$z3
z)apzaNGu_#?6yD3y-qjZ96-~A`;==fpKG?r*U{$&f>G)I`cUZ*`=HkY4p_7Lmj7a*
z_07+zGOZjDzjO@w43t0=zhdPar3Sk9+f5Q6@=_(9-B))ess9{GP%XF+&hkC4+1Usf
zjx8s4u`?i`d%5;SNH5KrMk~K^8b^rc(ngArh;-)=D0Tm8*g<=QmMOU7q@kO|pz!a*
z$rZB*A~xtZ=48S?sHGZNspGmgAcSYtZ;t)3tf8qBa{tW&jg=BKmd0syvOZ)dcGgxf
zd+}~;Ld9c<5?8{R>IX)^$U&FX{}AtQLC?{NHOr%{u%hKn@e;r%$f85$#NR#owf*g*
zTZ{#GdA80<IZGf3J7t@f1Qgbs(s?ZD%#=d-I^u7l0)&=^*2~5h{P`9m?kJvSxsVcU
zEK*R_eliS+Nh%c+02S?fOccDNx-OjJ<GKrF<LmFB+K!6qs_8XnBQGV;YWYj-e_V+r
zfs;PUOBf7?vpXTblZ1{K^`C}rOt>#Upac$G^piPO(>^uKUz)ic0f$Sq-(pa@_e*>d
zK-**W$H;TM)!kT0Q~ZZo1U-q3V3Zsr!5!+7(8fgT?P0<`>z7_8hOhd3y*qT=^}xxI
zs#8VBNOIRt+{|^Y7~1U2&*C}vmp1-!W&KeM*-f&5WNj4tLe)k4iEus20J=%B$?L5t
zO+DrxD?Ol8UJCXt*U}YUw;;@bH5RkHp%9e{?Mk%&savo~*1vkvpU1v#9wa3~Ma}Zu
zqnAO~^-4Zg{u9|!R6P^O67ldxvGIaN(r6+jxwBx56RidsOMH>8PjK4&zob=$7*A!T
zjrjs6D75NUQTn4V24%kPTOEmo#SWh^^bxSJscFO$`rZ!nRlJm*(j#8Gej~XLBPJL3
z8h_hx_$p8Ig0MY9In1!-#7I>o%!iFkXV(2+QWanrd_?iQIo}_dvw%A)*QukUlWJda
zyd9Rft%e)P8*j$Gc$JR(|5!#w1k-Y|MvNdUbWt7T8iz~y>}u>DJyT=wA~wjw^4IOv
z=??K@tvX@K&!LF-@wB(hZJp+(+UHgOOTCbve|&{nj-6i{p^R>67AxN+KQq!O4_*c=
z18b%1rX|06lN(i09fPk#L;%6x%?SRW=JLB{*P#bm`DmjAG<gm`>_-DCDb*<$DQ-d8
zf*uZoudW<tFub&p18j6K(M*#5R|lW6#E>P-w9_MAnhBtlV41Ks=uUtkBXO!fFG*jM
z6J3&?1iQK8sdj5UF#Ka_RBVH=^Fsp@{ir`q9&xKbDWHA8J+EbW3<_JED0#ao((Rxs
z?miRrzn*A~1Sc^`oEaK|U0?eX`waMA3{Av>U&bD%;eCH4F=ZA`r3{(HMA~Her-I6&
z^e%HT1?MIS`EKCpxtqxiRu>@hr8U%#SNlN-Ig4GcHU7CX-0_gV*j$pWYTg%}Q>aNa
zQo}iM*lH^|;PE1dmsAa9vM~N*R^uYzlI8j{TiF%IOO-MUIHymPB{liZvouTAt8f3l
zbYdcirrV_NbaqKndb;C5eEzbiB?Z0i>&-t9|7nU`7_nDp&7YG$gQ{!+eKJt~OqUzl
z&(mf9d&8i7l;@Jr33sTvTq`1<F?A&J$WUT_kazn(HdqS*9fqzMh>S>LLliww2S+cW
zr&aw2l%j$_?H@`H3Q{MQkIhif!3BjKmTdF>(vbW6BjFHFSYuHwd#16^@5hLj&CN3(
zKGuf*<9Vp+*vR4z=x<UGy9%jXAg}V6wElUd#4^IYot;4DopgE$%G6CME7c?U=Y!_x
zu)7y6n7izmMn?aa9=8O-Iek@*o%+WF2Bo_|d}K26ul_!-!GD|oE17?l0RLYl_*V)3
zRRa8fmEd0`_*V%K|5bv2mEiyHN{}nh)29tUFkDn@9tThW$qMOIG-uZd;sC>Ns>KdL
zM(>LQ1Ivb&sB|jN;aI6(2+Yrtml4I;kuw+KAfgA79hZA6wBV$+oF!!JYR7rwF1MiM
zsF;~8dkeV!&<H9=Y)>?2)_s4{{vLmo%O|!1w;Ii@Yz8VD#DGwwn9*+_Pe3x7FGdY_
zPjKv5qKY|9pDVV8>Pc?{b)8p|*?duumAjyLhfEBb9&4#BdPCjyi-u=uN~5pBjso$r
zX}u>=D4Y0afmjsqm`UPhx;`Hq`r)*5zA`*E0303CN3E9%)FTvOp6zZ&<$BiDN%shj
zCt+v`m2O-NEMN89P>yu_gZp-#C(e$FzehGJ9Q?9x7MATt08-(iHqLolWUinE3xupS
zyCP-lq%7&)15uN>QhnHLCAe|2fziXneY3NyJM%S`dJr}Ep7yZwogLyWQBp;5;ZzmS
z^e$V_Hroh}vUc+VI_Wxk>!C4bHP*^FZVLC1;K-gvrjCDPr2c|Ji%_-;)GS6jFZp*2
zC4$Kqq`zKwSo8Ow84;Ha#4<i~uJX5_F6b#5F^K4D&u8y%!K7Fa0(u~tTdlDA-@?P(
zLGYul7a}(lZGVfgRh|GM0B6}@{XMX!s|6+#H}-kJ@B%z0a<g}Lu_Wqueby=({~#PF
zEnN8^EY}GOP`UB7tBt=%VhNvZe~d|97zlW{Sz@Sqe8_y4$Q;~j^SvmFgmW{THrtv(
zGQ@4Si~0jD!@6@4FoM_?u@s1Wy%-?sHqZsx!_`=T>V^|<-G1Zz`S!PGMMfSAZ=hnn
zKlPU8Oe2|1O<$XALedgwm6fP@ZW=re7vDX?D2?6kMq?!x_CEXc>LbHCy+P87a}uG$
zZ*)-%KNWz8b*!?c>a4~_SlXCqLJ`4cnl--ND71F%$NeP@B~{Z#0eAaNOP{9=eI9!*
z2bE~}`t1~^eC6NDeDg!6xG)92vE#U(EXVg`$kG2a10D&JiFp<ukZG<oAW81G4cdrv
z&)LlSKb($<cGkZaJZN6~!1?w44jK`Qd5d0?1AC!c(0t_5{drU2PLf(E=Hu%~qucxv
zA)&f0|Lw1Whe9WV&phUAii>KKimW{K3qvyUVW91JdDpWTAzT*JyPJ!x<L!#3MN*zL
zUdP2`J%^T)VMbbc&xgB<s}kDe1L&;CyO+c%1S+}Fz_$E(xvujolxTaZY?`HQ4;S;a
zao!<A*ynse<h*A6RT!vQK4tSka`WnXFz#8xJWqpyW4%?jS5Zj=mEYa3X-Xcunakrf
z*5+lf!v|}UPnn_(JUwf2Nqbtb2`__tYXA^@f3ifa1b*Q?Fr`idzh6_4gv_SQ2Dz{`
zr>*<Oar-^zo-55|+Q8$RYgo3-vBy0y_*GN<(_l=9>(*D`1}(FvXl0eH3{$d2Tn)Zc
z8d?i(-xV#UDV)0CMtM|H7T9RMrt@A5cs$sC*U(z>AFSrSIg8w3q01GELrm{<WT}lF
zs1zGOJ=>qZIL&zwdb7+!4W;b$<WpyY_NqI;Ve*G-b)Gj=X}I#8l{oN#iWZjF6O`{q
z9sMQcy8)#9^ABBH4HAPeRC7=LDe^ck0R0Mji;NwT?X{UkW>@_srSo=Ul1lV^#w_5n
zhjP*PR55>c%>TTutfEmDax|%?eD~AnVO3{0<?~r#>L55J6<Csx5aIKgcStEFQ#-{u
z*%5DE25cm0eLl@P3`SpJH7IZ4dajnPn_YXR_FH-*MOrzY)4|SFqn=?8cN<q$GF6S6
z9!+z3*Y=|&f#4_xV-WO{)sMB;ba1WYKw2a9NrKhx5PaEZM7|acnvsPz53A)LFKM%S
zLDfbN*VAVy6l}&~^73C-oEy%tAyt6>tjh#$8d0QjNQLBV`<>6ys(+x-_b==b(jc?1
z|F&CJrDWYYM3WKR&|3)uKSyp3J4N3aNtj;BZ&|%nlg0@+NyvG=0m#ZyvM3CB%utd7
zHQ;8y$qTb>n4#=>Q$_7nilWFx%NYAdDVO<XXq8dMoL!5<y(<*0rhdxjB5LH1#X=8^
z^gS0oZ^g;QBYm?$;#=B3^#KkuW4tEnvw6wri2p`(o}IVN(+l1K%7ELZ&O3YQb3^Ao
zf&mI2JDcobdVA5z;f*#;zz)+TcD=`WmP!~$8xK>nol?ALzYqe=CjuKkab(EFr?-vn
zPf|YIY)t!nSL7`u8uQx98W3B;;DsKk<y@;zL=2wK*;Y}9M9TukD{t!*utc(FBcVg|
zxRky}U+Tt0G6wmlJOp&qH#WY!L&8hY`ue@KL0KW2&*mIb%`DvQL3SSZBWX<&*p|k?
zrpIuX5YBvr@3|5}wC&j6`#i(GQD^sP(QE6mYAFf4LQaz>XClLM-z?Dp5y=+M3FQZK
zRn^nn#D!ofnn+6(610m24@yOZo-iy&1}htHngI>na(cja1KMppC%hgjxxMcTXwM_0
zw~MU)$B|(a-qysdJx;`L4f8c!LZ>nIfGr(H>F@bEoiVh@DV!=FQ_}HrSj<Sm;_Zs&
z5w6mAfvh<;eG%eU<dqgf4eCihUvU%?j5J02h&VJ1mD-lKuhtqu*}nnUDP0j@-r2|6
zWDJzS9!q|_Qya&=y9dE!aXNLDH4$WymN8+YYVh?l!5LUIwNJ7A4qCRd{jY6Qx4C5`
zS>Qu6nAyyY>)8^FLo7&xU@D{DLN&|5U%BgHr3AAVPrwS=zm9saT&p2F*qCX=d|wHV
zzs2~w4aQQP`O;i(T+!DY0~Rnd{tDQ}3J+GeJ3Bpz-w;0K(Y>{rOHfNIyOO&lM`ap?
z$p5-5m}r`JXfuoEr%9U0uS&2Q^W7WeU8QNm(xYW*15O}BBH(Pi6a`^*Vj?uoT9UP*
z;;}e%-ktxfXfiB!&U_qvZbC6Ja5gEiO`~|EKz2yx*naH2%4suEz?W#-N1z3LT~=X@
zEgJ<GyX0%R3x3sR$$WB$m`mL`g{-;f{`PCmeJ=XHa{{uc*a!ZHK1*x7qWmROz2SH}
zl?vk{Dux^hR=~q7Gmj!!KMx|Cm>L&-jR;}W($wBOwpMsvxv7Y77NYdI@NmIni5i|L
z*__DQa^||5=rcC&2ef($S|ba}?+Iw_ZP^2DLy13_A8etK&O&1hjOV1>o(+6mVP=j7
zX%0X>FNz8<4#ZpEK3bc@W&fab8y6Q6>AYNxOk3nMY%v2txYP*@`^jjB^Th+(GU;9%
zZeZV?T;}+Yh8p+9n`K)PQTUy`I@$Yta{#S6iZ)%e6i3c_UE)w0%R`~1)|XxhJA1?g
z?Jtk9@I^1bU^S}-Tj=_EK}l%eTHaf2KGXNvZ%BYUiWWQ=+&p`<8n;cIqTk)CtN*N9
z59PgQ8n*zof=q$A>51^mp-d!Tb72bZ#VXJnY`##`Ka~5fm&oC`(k)2SPRyHk<uT_|
z*Lfa8COJ&eGkrJFzfrspkpW9fVF2C_w2O9H(w00(_yT%L`EZHE+#&RV)&U)f5Pq39
z$G5gSFH~HUYr^64)#lAX8*4%eTM}2ymRB*N2WR<$`@B8L>lawOb4cA`*;7;PoZ&P^
z>EIb|Uamx^G2x5xZUwV9Hjb@DrPIl4uS*ra|MsR-!CdDYIh<H@X_pb<xf%AM8xnYx
z+-D(xni6HVR7udju6zOsO=1xJ)eu$3TP$bWH+^I1<MjhcGP=#}p#A$ePCE*HGN<E8
zd<o+%u$N7Mvlz{1SNO;qSKI$;!;5DO#L!w9l7ahL8EMlAU8>tnRL?AmdzeC%m=>~Z
zXllIZB2J-eyR&$HxfT;fX#D8F#VnCj)_2Av>>GWnT@d?mx^1ON+K_0^2!%~Z5%tRT
z&nl}u!kdU$2B!LrW(NG941XNaLePQ@o+oTysOp5+UQ%(MpMHo}#@%X|He6#2&uilR
zPSStT`rRUZ$xGnZ(L~$jqVZg^S*SUGi>{JVK*JQNq_@Z6{g0bb<>a_B$!ZS3`4<E{
z!?{`ATCfi4xM<XBca|I-Z~J7N9^R^U{%jF=nXQdxY;9+~e}u|rZ6hmcD4m@E)m5ab
z?yCTFsaLt~8|&!T6$kppi;2AGpy7Iy2Vk$GvqmW#6qamgQfjFo{?<8s{XnF2tE@MK
z3HXnY(w!)M_G*S{@@}xa8lf&Du?h0%-;LNE+}EObi#)L2g|&c=tCNb1{kIa#-pR{v
zy0AGdcTKppDi6ps71~OoHrT(`NZMijENl-w!(w%H^R(<~!U!x|=ga^jVgqKP>*YB%
znZy$}&*&c8mat|2kY{Gmc$;J7oR;Y9R<q*mRG`hrvQRH4Q7JVx`$mLT^zHnH<cy3+
zmR7o7x@e1U*iE_-be$R7Gme3i)bj8wBogi@5DtEO!WTGwj(24p@-%gA3STel`RPyL
zJ5a#Z#Ts0Hk?q`1f}WPQ<gz_ix0!C6?J`WyH$EHIS(1k7*s?*W>+OYyi-%X647u$9
z++UWCvkA7hq09XJWBNp%>vCr!YwES!zw+v9;n+^4j%;3+l}{Y{y%}OMI(FTJzo@>w
zzrAAL_=>Vdk;8Rdmf_GcRLbr3-~^2WlE$&humC5U$hNSH1J0167oq{}J*s^gPuxbJ
z87yK4QIQBR+eAZQt)Bs$Y`K;0HFvP_oTp3-g<>k{+B#q=<8H{VWl!~UkZz?WZ#R1G
z@HVh}C-y7q#Z;Srk?=Z@qn#yMiX^3Oapqj1m!;kZU$v&b<0?vFslRKM8{v8ZJHeYl
zY61_dM4ijdTgzYGUBO{>_I$Y9zyL!g0=^&;jg!6KNpHcH`h-N`8EA10N4>-$mP?jz
zR3u-JgGrg4d2;fcBKw3q`CiJd_Ge{VG$}VjG9IC4K52Gq(L{LItWc8n3gfS;>c*4O
zN$jN^*I@{~;!`{e4VHlh;L!dArd({{*~RhJN1bc{@v=x2=cOfH$&1_{$GGwZmqWt)
zz&#FWN#-dA?j~~za|Yp#W_ZqgujgEBkc`tXC+Z(zm#gY-?@H&A9XJA}uQ`_g)*_~N
z3cAtzrGKb_iF1nfm>ErKO`X0aIr@9M`n$l)**qJK<t&n+hM^6>u-4K6?l}-oz6Hh5
zg!`j#!~9B`9HrXi@aNVG7Ee*0uB#~vH=HP7D5QJ#;>chxO^g=P>zzw9PR@zmu3(iU
z9wo`c*RdrVXrvEH5tP{K*ifj!yjD#h@@q=}ia}sa8-%CC7j*ITgjgi{q+=zN%vyXy
z+}|^&msaE$Wz{6q5;%4I6m~Mp33(;mv_4*?xEs^7J&lcKmH04=>_(rq_;m#@{e5_p
z8m}^y=<(^SRgPlXS-R3^6OLqQ3t|dL*!&ZUE4+jOjgpW?a;;Lj&fiJuCt^!xmR^@<
z#iFBYgKY4o<|emjJswvpk461&3AFTIoeOucb7pWBQ2S$`=@WHl;*^}d{(OIb(YdAJ
zdxkq_79;G*Gy*cK6kNe!xXU2!lcb~;;Ch9RrTlO?AbJv*G^eTNVv}wEL*GYs>AvJF
zjOO$CS)v7}OeLrBa-(fUhkK`6_9TtJhFFj^0UO9+lJloCceL0CpB^f9?VpDM4}v4m
z)!-CWwz=d=>!w9-#tSZ~x}h&kW&_dGTQVXiII9{55y;N;%;+G?G+s&EVgHM^r9x-E
zjXneh{I8EyPwWY$I*W7s1@3BeUW^GWeoCB+s5+~<zn<>=8ij_J#uhYOGeDs?CxzYk
zdc-;DU>X({ioua8^~`&Zs2-`rBf&xm))qr-`)FeJe7nX}+1`<l8eq%p!V@Yd>cWyd
zcIUDQ#6`ibZDK<va&K|Yf!-u7!y&XZ36MhWS26@*OGsO~CpT#HD?*plh<dzrOMShi
znsg;c>O)~IJDMAM;Pm!)k1?E|g&dba;2!Y|fDJNT_v3ipg4Wt#v1N2{@!HV9Dbiy%
zY^+I}%{w5x_CFb-JxxbF!G<n64?Jcn@4UZmFL_TEtzOLWIX=u`q7aVlg3%XK<Z?Mz
znkWB2^lnEPdRI-*QG`<3Q##R!Fu!!!&%133gre=7V?qhDEzMMn^V#H0_TQZQD*o`0
ztm8my*2sc37)qG%EX+ZazJ~isXCsdOF3eagYl7hIPx=B-4}a6jl4dF_t8o8tyB6ZO
zK}qd<RnI{&fm0WDaUwiL$A&4*a^bUaNfPTG?np+15RsXh+t-8w%+n?5cAKxnf}R4{
z5YY;g&j*aBU7ROCZ2w^%XU@~cLQ%R7I*RR@?YSB*q*H8=@<{uDD)l5-WDNZb^=>%+
z>Yc1Lp~%DSY1++mE}Ag6M<{rA916S&YeRlRfOkt~=q+x2msI6zQ8&s{W_Mi^<F_{;
zde8pdgPk<$c&K*_=6I`R)Soq{GYq)FmOIE2al5leo0uZ?Wd7?Ls&;oerD$TFtrs%-
zih$=whtYSYyxHSAhJ81I6Rx45v;#?f%pxrWzaef<Cv--ED(N!A`o>rUZIQ|8u;T(3
zln@pTh1C68dbm$X`_z&jQZaYglyK}whPa>~^a#Lz9C8zO^0?|jO<<E<`Z<@KdWF4o
z0sVtl#LySh7M4w`ML{Gg2koayC*vg_j(bWVD~yV8=oCdesmeBw9K<Cc5JlY6qS&CJ
z8ta=17Z)W{<MfXtY>>;!BloBYgV>3PH3q%t@ZUhv6f(9eu5VG1sCoR>dSg3cpe+Ut
z>zJxqjWa}=%w?yKTB(Y-_S+|)QSRw#NMJf2n%nz)FScPuc<*1keYzB-xFAk1go@!j
zB)q#AWWN?3_E=he;Wtnpc_I-}7qk26i3(Vxia`%Jd$Gk+?@E2(D3bB)X_kHrE-!wJ
z7T5&>=_0t~#@Sk#!RI;cdvVdjAKIyVzR6IIW+AysrHm>(t*BK{?Yl$0ARiLi%fjh)
zlSd1GCKFv?pC)q&S<z{sb*;rtZV@)!WDfQ3i?d84*Luwg*b3NTM6irPBW^eQ6Oo9>
z|5g%>t?oIl$;lvx4mgiB$6U@O&4cC@2c94vE$w%mqBd;BVdrAt&^cK2IaDmqXvclU
z{^)|^3&J!1p3Ow}E;uA?s)3f0me=E^kfis?TazrerGOV*|0)-6!8mm)(1_eY;c6rX
zhtfZz+ei*eQA|<z!FKHcSkF-WTr_7%iWH=&6>xpOo9E+l*nKg9De>pdER%)+a=PnA
zbY$GqrsTQZUvru=i_~pIn3@;(D)@FITyG0J;W_v>$Pb8u@B#N``Q=6IKM+DxV6PmP
z`#}EI9FPRyqk2vVoBuXje}3e?harSQKPl?|ju48$5W;LXEFD0Af03i;@_`T%XRLJq
zHuk@mkN7G8uo+0ZAgKwH_kWv5&;b^zx9))bAHe4S@vsvKJb_R(TJ-)BfF6?!=JR_I
z(Fkt==i?GUZszhUAb$;3MGcr%`iX8c7<DqL3$SRe02bE)AZ#$Y=scsa|Lr9JN9+wV
zR^0-QEA)JVNgSBaC&T5Ai^Vb#*E)W$%z@%ryZzV|07J}XGwELKi)1{ETv{YD^vol8
z;}1ZI{U1n90Y_1jrPJLOppp6kz@2hBSBZODH6VDg+(=YFZenU+EYaH|7`QQ|W#k7q
zA~p=lW(A^G>j?lnx7qG>3Pd$cW4@c5_M)EvTyl#HFvE@kH}hpxpVM!u0bI6o-$ED0
zn*xAC!Nc~`yTbs$o!1oHtL_O!Cz-Ijx8x*ug|JIyZ)JHbb_Ky_jOwSGtaOKrhL#uV
zg(QBJ7j@nTjLt=d<L9g8cUbq6#Ucc_OTMS0JKu`~&OTB`dCg1%kSM3^52ov7^v42R
zMOt-YXFfp0O96nUwiOMU+*be@m*4AT{k03t=@~%N9nTdXN^HJ`oq<Ie4s$?&4fCB+
zi3wp4F6vH;@vq&fG5{eh$%LKYmVh#5P;<Nk_YveWpM6211Q1;}Za6kxay(k4b$5&2
z_c*^^@Hjx5a~^KDpn6WJM!<p!zS&jJyPv+hDA`&{Z@r5(`KV=7cXN{DFVPa7m$`Ji
z$qS&neq-6fqE|!8nsh%jV4|i0*T><Kek<H)Te>^Q_BrqxqzcRQzur+6{-w?xa#-Di
zX>>C;t;#QX*=qeQU)?*&XpC<SJ)2E4jXx<WXB0rWxoGaUL?2ANK1T7N(g$C|p5t@2
zE#50nM~rLav(L>U-Mg#!qLUnXzo!PW4zA%cB0=PI-<vV_)-O_UC+c+37uxt>RHmPc
z{r0pr%>(Kz12$%96LKa7U_6eo!W2Vq06nEv)20yeJVK$(tlljxE1I|itV$9h!$OC~
z;soH-=8CBX3Whqpa(p8xUR&SDG?pcpazo}|3Ug}lym<8Rc>(9ewyMLu?%UyQ2-?H(
z#0<&lrU<*&Dyl*2y>Uj?56Wh_kdyGB9kmMpdfNv8vIWZw`|DpnwW#XKU<X?x+6PkZ
zh);Vl0k>;_a{G@kHvvrOtgZMVqwaBW@2iazD~;D478!VwAO)%th;Lyh3v)u@PEROC
z<gwM#XTJm=TGzciMK+zr8ExZQ5!TMzlSFzo?O#BD&&+d^V7jv@&RoZQWcx7qEGG6V
zTXOX|5agnut+0|vBzX!rt%lRmXcZ<quO-N#8wH%#<@l{XqkLKMbcTZ8#hjsLPpeW+
zC{?z?dpQV+m;(=wJ?QK$8q52Ni+bV#!ows@UHVM!w*ka(^upmabVNW9Mh|TD-<h2t
zZvsyM?S?J*Yry~cS?tg*hqVK!Kkqk}=}Lpn`(IVAGTP}>X)X^xtFZ4v6GI}2DyE9B
z0+Scrl!cBFG*<oV>usoYnn(W7C$2CGuk|=Ghh{2KK>#2jqOz`?p}bv25=xzS?7S1X
znH{6~o}pWb4FWb;XAZlW^iJsQK_4iUVsZ!_-Kp?f{Fh3ED43_eR>iVH&fElqcI(ex
zq)SWkdn|fcY3FX80$4LOcsT$-p2^n$SQFbr>QmaSoB&Op++JKB3%iv|&_FXfsOaI;
z`)5Up0@jEdCWD@E{vAWWJc+70DG0EHYd`?t@!CV5`!ZN6{jC}3cB;xh>AT#uhL!>1
zAh18vU(+citpPYc9V1|)lluUcH(fAD5e_Qt^r`Kj^(U!q`L{jxC4qyhRI3c`X~UX`
zFIx4+Y^G64ffrEMF~CNCsZeG50%K(6x`XxXY7j@WOV}Svg-UhqB{mSaE7HjtWyc1^
zRWf1o(9WA-32Z+>#UcTq%r@eI6QScM-bL$D^L+jO48T+JxX@d=)`UjTs7%;g2?0Pn
z@2q*k#Ar^yy_ar=mbOXAq3@QUP!&4K_1TW(Gd3)Nw5}YEos+vCdX5GzL)5_~FfXk%
zmU~*Cv!I&a#PzlPrJRs5NMS6Cff6H;xu7sypJ+SaY%Jg&FBAAUb$0cxIQ30d$@Jf2
zXJ;CZ6jb;zn8esHTm`@%QNa1eEw}k9w*zszcLW1&+NS^egkZ`Bk&$oQ4KYiC{+?RH
zio-jrBUqv)`Dsgp;!JYbEMsM}DMywCOO8<3=1U>63BO1m<XY-5p2CyUUx2YL77HCw
zoooGBN#<jfv{}v(B1mvxL+siYg|^VzENHU&33YyAn$gYfV4@I>U^79$&>?&KnG6d0
z3(O6bdA6d+DkyGEiu%<Dx{svK9oqIAOEe0N1{4E+_B9pvoe76(mD)r4!Owm)zj~LR
z?IT0!=jM|1TUGZFnqME`4REPD6A6Wzc>yT%W*FBQU36JDn7Pm`b7jT&HH)cqA&qP3
zC%yt~<^B;Qc5^kjBY<KJWdH1b)J7iq9s1lxA)egEji8ztp}a$>FnebO5mVzCx!J25
zdqif3jn@PI!oc~8y+8Q%lIL2~bN^MmoaJ$AIvR9`QrDB5`?KN+Zw}w|Q53-hzxW=*
z%Mp|0$NeYcl30&{^bfmUNXU3{_HdWltIE!H)@2}S-RK_H5HUyYX>8$eXxT_EQOx!`
z*HJ<uY8WTY)cpzQE0CiFHS0X(q#K6=s}(B=?-V3>&W*l*CPF2P_G`wjZq!rD{v=Q2
zSys2Yh7hUpk0e2qw=4&sZE%VL?U^tT3CzCWh|@!IAWd}+&Z7C=!{KUnf8f!%c24bU
zad_r*)A?}IIgzPRbh|Ah`ZQh9V)GU6U2F@dd?8-tcfv1<C}=|(X8|8cYpO^u#B!-Q
z+2Ay8)6*5G3&O~rSYnfi_<BNSC%Y?H{bp_j^B?4Tu8Vtiig*f=-t`j->?AEZayNwU
zz^n)(!etT-LZN+fT$hP!e_N6N{!3cwDNg=_$jeh$MlI&qn7~ga-0<1v)#@%pYOWcM
zI^mD@;W=wGQ%pyJ@nDo)&*1Ad%7@exwC7Fv_Gvri&B-`OC+B?WCY>iqRnI-XBpCUN
zhF=gX;qtDh(GZpM(Goh}+cz!rH+(25Ku)C(-fCobeZ2xW*wm5??7kL6Lmj<B3bceN
z31|opLV-#}1<CyMT<vN#<3t^2qyuprh|l~Q(>4V%i74KNQH@&6d-h;kq(?Kx<SJ?O
z06Pa8QTP0YfY%l9m*&I+BYA_K28f>5#2l-q;)v@fwa~%B&nblw{l-us9>CxRJl6f-
zRSDtrJO~Dsua~MlFeuv&2u5R?u8ykHc5++7R~BT2K5Z(6%*x0zwWV0%wZJcLzC%t%
zdQcBd&AfpZSYY=U8KTX}Z2jcg`2s;H%`IxpgkKS_{<s!pt;BltJsexplgXTU?rfs!
zh+841_hERBNC|JyaBR509YVZZAMWPjH#d%E{VrRFtgeQ(a45~MavqAQb3lANiVtG~
zoiOi~1Z5my81XF@4%3~@Ra7AgyF1u4)I49RND=k)5$9$yrQx|kkJ&8_nmDQW<I(u?
zd?S_s6cw`(bL+jRj+C+zzN|{GVA7)EIbds${2G?jGi{$xri-HV-Ib=?nb}EC&0J1X
z`Z~053`r?dRWOM+$Fu^%!syX&&Kf)2%Kj$_<~^Q+PC&k*+IBH`U~PFqG4(?!R~&x#
z$>et{T*+zX?9&P18z6L|L39`J<mE=S1k!f2AR4A(&6!2u1kktV4|k?}1Lgj1<ou$j
zKFfWMo~9L;7c(rh#7Rjb*apFc#)JxDZ8GJBB#7t=Jt=;{J{wSe{Te3}$0<H%R;K$7
zFmT)HWYI;2O0tKwK%^GI$dabB`6H-bn`OTOGjK;<+G=?n-oNO0y?Gm7(Kxex{d7+V
z;@3^(DvBSIi0O%*E{7SNpW*E3t~6#vqeDe|I41ihAvz;01UoKye=2#{Yiopc^da}I
zMQhqYuZsT+Ds#|zlVqXhaqoY4ckT9Yv_M>9e?{v4rQ-Po%hX<FJ;HA^%n}iKQ9{|+
zKj$h>WcB?sPg<v$2-*)qhURJg8WcvgU97mGN$qke{(VDD7}OWI;ALWoI)>gTX4Jrz
z&%HxwJ0l59q74c)LJj8n5CEF$uhRvO90?^#SyrxIWXj~+MojF=^U10B0gg`?u647e
zNI<gJE4ITEjJu?5=f^z7U-&<J(Q%>GJrgPE2=mN9Q$uf0AVHp<ecr;LQjO+5ur^u9
zJTP)U9wg+hBN5}=C)CB<VR|Bz!pQ2AryU)q=&9WWZ;BZt)rcxQmT(VA?eq6CA)pn|
z5r*aVy#e24w*pckhJ=j$t#9i<|1k;43o?3-=XqE4Qv|DTvrv16d16CPyi66jyX_I^
z>ziE`3Nf8M?HNns+B3sOZNAe0AlH1DIS7IQ*S6`Mlm0WlEywR-p^2a^IzxrS!{1l&
zRWG`;$+y+M2l5A#u>Gtb6yNNxHj0_;iBY^ZsY7S_D&o<ciJ;H>Hq0Nv@Jzr##Fk-)
zzT19p9jo(kH4~@zmDIc2*a<}%;K+|OI)Q~J5Qo09InO}ZBYj;s(^t3&oip|J@$tUC
zI;|QEAp<E~x)X$oryMa3Ey*ERS>e`O1(eujvUwXk`0_+cXsqqA)oJ0h#AM`hYq^)V
z0L(}YvV<@%yoSXQGZmqPcEfpysRm9%%bqAqJB0Z8z2@sfl0n4jMY|-QPd42}EVN$D
zS)>>cYK4GO1-`RKI0+ZIdZD&0PkFm7KfR5{*kf1LUM7~*I!#r2IBJG`?mnQSr3pQ^
zr$BHDtnk64h;$JT>W0P6=aW9mzo=qKnecnmEiZE&^%$draEZ<P8q#QgqOV$f(q^b;
zVouPhH9Z^AO>P0<foN|)DGnNbsLT_2aY6IQ4i%om+0bN5tLQ`)^Y-!hn`|HoORFkW
zK1j$=Z-IQgaH5@_ta!<^b^Ov%A+2Mb%I|WI$8P9M%dw+#{d4uOG6K3sf`)?y56rtF
z0QbIt6n7=QQXm}MtpChG1@6r04GLD3($^Qa#-P~*WXP%@u$Adb%q7n@#5S!iW7L=*
zYz`tP)ml@BOsU6=bMbW1oO0@?6)90z6j}OjdeITlFE*3qJkT^njG)VJ@@D#vtn|sc
z**^V%Wh*(<+X_U5UJyz`&rm&55GUq)MhVD}MvU?;DN+1r=kriTWc<C5kGW_Bek1Gy
zIrm%T7TzyREzxU$0<s_Lf(hCgzRP4DiMqKQ&W0?Z_a_LMRtQ_!J}j=`g})1lN^t<r
zmh_Mi>iUbok=O5WN4_rVC^D0%^_uyI-nhIh3J=7huSXf5DizM5#zW#TjBF#k4iE8p
zkD4S3M7RD|BSsUt^6wr|?!NQ^KPxgF5eu<rEPwi;n4K`pGNU%ZQFP9Fy!4$9GYQK1
zj~n^WevK=Xg_%L}&_#`wq*+*?qltzcj<fTvb%YD`7J{42o<$(eTDQUZOA;M?bw^vY
zp)0ne+n<Ze#qpK;fJ-4U)=nIwb0)8Z$8yA%>Q|{D3rQXxH{A1^RqXd#C^9xk(cIzR
z95;r?IfasfsJ^dEsVEQ+{n`NHtHPaBB!nTWj|jW<8xyKoP#*Qr;`-h$82O@X+i0{f
zLi}q`il1{0rn2W+sQ$NActn~KmK*CQmeFWjc>@-5xjU%|eIHjQY--GS{%1V%q!_Gk
z+wy=sy`ZTcS0tOQz$u9TUFI0~iLMa|Lw}gOh<&#ZspE?@=7r$v?@>{4t#*U({toob
z&UvQj@GN@x_V_|Ow8s9hFzPv^=JY57YhlH@?Y)PnMN>uQAjVTTw(l}pgZ*b(G0M8<
zhSasf{8yu_5Bt}BBg`p#=f2R+dx89it{l6ibw-jNmgcNdA(|EmZhctsX}xTql7J99
zx}>~k@5|}!^>(Zpx~DHi>NQR>Amn%@O_bjpUMi(KC0yw^yh39$2pJKvLho@7$Li77
zcP26kT6|e^i2f|h>x(1A>DvpU8VHu>o~MG=E}+zdc!pVG5OM+Zgu##^w@Z|pLhYw7
z-FqSUQVZ&#uX^1&HY4yX(^lWU0kTVM{Dfh?*E_|u7%jdk9DS=0YLv3ea!&PksN+$Q
z#SnFFf73IvlcSVrQfJiF=}GX%*lvh9d)7S2@Lr15+5I($Tu1+ZnBW04Co-JtahjZg
zrhHxfn5%K3=-K!*`*=p-xFh=FOqb(6qA(n_3c9*$MNhbA9=cNR&_w}q&XBE(<W}oM
zesj3VXGRg|3!F!;Q&ykY_6eYbY!@$W?itjYpNZ$XfP^~DeGkw0ceHFFI@QMgP<{e;
z;H=A1i98@>#NYm%=6wsoLQUhmLNmGqW3;;^o3ODZAaiVn7%fy2P(8)LH=!b_Y~5w>
z_t}wvU@>Lc#`m4bk4ys=K)R$r0G^hY-hk%QCbLZ84pqnsv#;DVho9CSsiJTXTF~X)
z)_Aki(b^cTL!Tp)<4B}Y4;ahc3>7}q3l+N)w`Ahe$cwO^JPq>XBPD~%z_!EBf>{OI
zcwY^XzwHQr<uvtgg=IWwKN>}#!m*9^p<7z2usGA-rL~l^ZKu5I6$*T!qTC=~Cz#El
zqI>c}MQDXOFy@Us^SFc2TwF%0^L47JK+^3047;ANf{))s57}CkF%ED#UK<_ft)zUD
z6586t&Hf;(XW+5{)Lbe(I<V8NVRhi%F6@8jWr*F!N7owEKn=qD0OdbE>v(bDnuJyD
z#_UK*#hy^7soVUUY$F%w(81+6Q4va;QI0xVJY@1r%CFvc;(RcdxW5YbkllfYn+lHz
zF`t`9`B7KiY_c(H!vLyL_=V?pRhvg|o$__E9h3dw#O>NGB#Zo)d%&X8?O5Rg->>*}
zo*W`rI@u|#4ABrF8@AxfM|U`G??ZmNdts@ic1I|B3Sj3iRr4!uoW-u{fJnJkPR7%6
z92Sk$1+;nVlU+4dgE&$+)631OY!+ogC}aj=L>C5a$TwMY#(#_oBFpC>v-P}y3Qaz5
zcVnYacL{1vUsOg|9Fl@L337mwz>o(i5*t7cK3{A;yab1v(-B;Q!nV%XX(bC(*P^=_
zScaGiS}_LN^3^XYv~?TN@-R#K4GnGaA1Nk%t?2uByq<-fw8Ge=23<<5a6-3e*?P|_
zY=ITTZcuP4o82Vo{9TPlc?`fv_!xwvhP(SBS$$68QXgC?$+$mhRb6s7bUg;hb|NpI
zj*+UC{RYC#S-KqQkr3xH|9lrfrwu-t!1092ODP%r;p(_%)^q_Nswp~h@LJ3oaee7u
z;<-hxX4NMoWU?+GL9|3HUCW@a^FGI{(UNGp)@?J*D%lcEP2+f;?9q6#<tLGlnl>(v
zf!jm~;@hEmRr}&;=DT1!gbs3D&mmuEETXA=zFO#E=*7?}s%dGMAqUooKHm%?n$TlV
zLK#C13(;c{gw_=fnL1Y&#!CG&tD<l|gwr7nCeD0X0?_H8puV6g|CQX6Q5IFL{t3Gx
zAW+i*gj~x+!w^dZ_lWOX6tmE7kymof%gGPLb3-iSCTWo@O{_xsn?J(xRP2aZx`v)n
zHLf$uDbNftQj$C(57lyhY!Q(d%lxJ)7TS1iQToN~P~BfzxR0cw#Q^zne{*Y?)T*{L
zV%XMk$yJA^t}@yqgXv~O6g*8le%C-DQY#{h`Pek;2p=5Goa_mqRICIa=SgT!;Ul9j
zFD^tK0=JL)D^zDQ!YK?|5BQ%7bEU&|4S_swsCpiq>$ATZJht5q9k7w(QR!^}D0+e5
zS=90Rkt)VlB%PVJxD)Y1W>TcYJuxOwqE3G*kfpA;bQiEgj3fj=19oS;G@Q0;+WP+f
zJ!66)11<vQK`lki=Fc;V%1ZiSX=VvO0rl^p3QWV?`COnPa_<+90dn06b&q~Uch9W)
z75X|=)~3;1P<S#NtDm=gt~`d9@ney^@Knxt??+h-E!|qt>D8HcCo^yDN?2wIc-#Pf
z@N)nZP9SArj1`2-hMvYtSEkp$4qeoQru+UXGg8z{d=k5;sqc-F)RK=k&XJp9Cp3@w
zEYZ}GLhHNNhph`JRtURneOu^|#Gs_UB5Q4G%M_Z$R{ir((f#`G5^3$Dss0}N-CnPd
zc7#qX`*A+wKE=J`V2RWbUhSo*H*@;g@B7WyX*riK0(;(7xp6I8F!@J<4_fQX?-wz8
z2nV~?2t{F>OuacnG;gb^)ZT^+brA>m*FP;ROj6vLEU|M*lLB8l6?gBe+mK15VJN5q
znUFaeY#RLMpEtUX0qi-Ns{9uH1j?zwutL(AY;r)CO>j~+!qH=TG4Ckq;!=p*X;6|^
zSH4=zbk!U?B6mx=DJZ*7*HfiWPZw2EQ9?E?;=dxv$rLq};m~SR*ICoM->&wg|Fk5+
z*<xj`cMU!pGQpsPRSv+CK|?f`BoF<(pTEF=H@~kj8#qbw;QnR`;nbJVH(g)@rCP8+
z)srG!b`rpqotZ=|()wTH5j9&Nk?4|2Uk&)wG#sn}&l8pxit9#1JfZ92j@Ki3+oZxj
z#}*^7`)N`mAvYxhv=}0rD=SEQI9O=KD$Zfn+HF1WY3xQ;WRZHl2;@*c%%m30RYzFO
zoSn#ZxWCm<6fSgN5I*?iM#b|`8zFncXmo|@nlKUHl|@3|z8*``(hM&MU^&|(S>y)&
zjCdr>5b7K^2ae0w95bl($0%g_4DZ_jAp7PN*`tWd%T*s$hoX$23izWZRG&6yYzi#C
z;yPHEE<gUk^Q-C9MdL-+WHO36T`;?4eLj~)`ftod6I_qYp(j!p!a@tFSN5>5?25=r
zHWStBX6v`W?)+9Mzb(79HNL|;8GNoBdULWyJ}?+dA*a;wEaiP=$uJ&*X6h23(C|7d
zQB{##ZalkTVZGDr>V&jF=PtQcGu=^eB1xWSi*RSX)S5nF`23X@D>F}We<|DG`%X6;
z+WewU=T9h12wnOz&DI>^kF+QybXpZ8hkw1t{e<$doIYsDJ>8@wlRA=Gcs(z}%?6~v
z$U<3ZRMPrwkwRHfJIOm(@#$SgGh^;fhS`?faEm;_Du9N4lFr4ekQNeJ3yTrdy?4<Y
z3VU$qF^WKbcv*a(QC?(yN~fY7gzen0anu5JF(^jpS9FFeawLeEYDqrD7k!fy<+D;d
z%AGXAOyqxnZtAUuR*zdp<l-XEOh&@fV4}GLJsU3?Ma*ssTi3`W&X%NGKuht(j17PJ
zzR-rzVVJ6gie~RETgE(h<Ej;N3lEFy=>P_~qr>x~B0S?02i8rSK5+M0Bz#&&9kzFA
zQ-0<;4HxV4&Q>5Fhru-7D*uwWefSBHX=7jyD-}DHXbbcNCz>M%uTu#~i0Rna^<%ks
zcFDbay<OLn^gcEosobtxna=U!22oPu20#rB?e;pC6Nodp72hO^p=|`HM8?}Hl2VF(
zb1u=IqDJJq5)V%vU8s^yBVV(fx<5@X@pAD7azEJ76Y3)j(TR_=E9nt#$vG$)6sWI`
z&2@Lo6=jPZ^5FOjT&n<H^yaW-4ErE0{217J1Ji5U(Cu<1Yz<pL^;OtnM@l=1$gdSD
z*0?L627!*v>&0f~#9_MJD&;rpOspV}(%2(z2-xrbYU}j#qe_*btJdMos?6;d1+_7@
zKMkIIkXpte0CKwyk9&*=n`hUMf;yq@b71{L+PP~YiNNJ3<qgS=x5Ekd!(Q>WEuwUS
zSTY>SiYZ>((l^XGlZM06o$D)$Wp?+In?qHp1p*b+)BP6Ncg|tX=d)Jd!CkfhVbCGY
zoQbxj%N|B#=R80R_h}i3xKJGu`u$plS=6HuJa2UNiRZ}>R;m#MyR$o#@Pgh)E2&W-
zGac`v$9<{KHhRE8$3V`L%;n@=TKd;OV(z`S=q83`u?d~GUukn3`_FcX;vYw+BEQ2(
z<BH5<<eIOIpw#ZxO_%g?8Y=rhGSvN1L3%4Wc?>T|{pqv7%W#@Fu|x+oa(ZXSlPNhW
z(Tm~WETJ@uK(76<-t&U*%aA3YYM|BbY=j}-8r>_pi#9RgRz9GN_^#jW`e~tVhV{0R
zVgwE+jQVR2#E%Y<+4Bs!V(*Zhp1qJnT1X<nf&{KNB6UF<jtX)JeY$rPq&0bw>%;N_
z!43GxX8I_aHl7OmVW1ciO3!#%tEcHsYBib+oE5!pcZET`1$Y_kM(~P^ZbbRt9rwn%
zZxXiM6F<E2(qkRXu1SmA)G=huVQ8N+B7u_{uoOuYD;Opp3I6OW5hPy}J!1?%_r?oB
z%!umR(Y4z56NP<sjhyr0ng7%HtqYQ<iDq6)G&G^K4N`G6Rb>4bk?U>S%9hX)Jhj<X
zE!}XG;xtTwc5a3uH4@TKR1x${!OQJuN&X*(^X}4a*H@_c-q795Jk?1A(0m{>VUSz)
ziX#ThjAw1o*|09+$&|GR&eGp-*+<x>lKd%dBPss#eDKK9L5J9Ap>=e`LBktMizfr1
zcZ`F;_MM4bptoVM6@framoPK4BiKFY>pV$~2x`4_?uq2}kHl>rMYM6vSdFt0CF^Tz
zZ>`F|-VFhugl%FTpw>3^TphSpA@=7<K_8usHR>`_VcGHjru!KHewx;~a|QVEGqE1W
zojsMuY6KTBa>Rd#0%9ML-5e6(kNN((<&UdR&w(7&%Yiq4HvG>m7y!Wu%2qr9|JO)<
zKkNUv`B0o#lf#0GI$7BS9r(WObt31EGo4CO;KPtspLtO!Q0S$>okT*W59A%bC|8F~
zQ-OhsjKkQw*6;m<M@t%JIYu!`L5V=~VzJvfX}E_M4LIYYWWWnHnoX1nk>a1h>cY0o
zwFzKgjtH!PZOg0f2f)(w06fd~9IBsMF<>F{eV|X_A5eiU&A@<H_aBG%XKPGRCndV%
zUoxws=@k*hb!U5HwW|Z2PWIv>a$qmZt@YfXlQWx^fF6=R_}?|<0{%vOBK}dq^lEI!
z`$>r@j-OgUYyYt<?y<HmfC7M_d*UCzo9BPaxVoe&JUJ-<Y@l<np<FF5vv#<l6smi-
zFmw~Kl`E%@9MBluAYu@ZWA<2V_o`s--;bc{g7*;+3+;R%<R1f2LPW5SR8N9}AC|yy
ztWTM{IBdVb%Fke3xDz4svK*fmE?gX9{-&ku8UmA8$dSMT2I%t4m}ncCiOTr9=n2@&
z|5<Src|aDrySj~k{^F1S5_150b#-MZfB%o)GXsvIZHevdKNO|~Fb!WvORAs#<M#~!
z;iR&#(&Fzl6x4OtOHg==yCeQ0vi!c9R0RZ=+?rhR-|_t(PAnNP$bSd_e=GU%JaA-+
zzd$`|#jIDBW*c|dF3(?!XHU32v5CtBD9)~4ATbApnDzlsjHWQOFOj7w*p#iQ@Tc{m
zdkdo_eXSk%B$fcC`k?SAL8{Yt)C*m|c*@~~t6AdDb}G3BfJV)S%x2NW$_Eikv*^~-
zX;uSeYWy)lKkMgS&HVL-p`d6WM{+>tbx|h9f`AP0czcW(q|QdBvEjG!{T0>omC6=+
zzoq`gEE-n={N;UweFyx(3^6+yj4$SP2sGE!)J;)cZ*=$Dv;2O-%1wXk7rq*xU#VLQ
zA2p4`#n6GS%>bz8A(WUeM*(Q+YpTomr%}yS0e^l}qEbBnPU8u)7#oRb(}KI6zS7pn
z?1lE2dDcsa4tGWLfA@yiXJB%tZ$!$Yz>lfL&O8Smd$>(5>U9|H+Ck@E3-hW2g8Xf8
zBWM77ThDoL%%CFuq(9a<Poe0Rx^J#O<aX*C>0fUkS_jHi`DAE&O8>b(lz{QOHzxlz
z`9Jo@Ghly^XQ7w<b94W<q~NcW1+K)R5qz<nqLo55{xa`$j7P&~D0qwhAsSVm>(*Iw
zP#l$)569soui7*_sctto-MV6_?!s6M&SHRBtH5k5dc@1Wy7j_-a`2ebU*Y|mksq|>
z5hVQ|jN)zEOy*BLZdT;)uVD|02bSq2#vcUj-@*_u%;h?WV(zFv4!sUZHgq}R=EAHK
zyJ7oslzMzo4KaFVLJq6&0BizZ$x7{C!j?fTkT6<Z+z+*v2}$3bA)ipQJtXl^=D@Xd
z)q5v+Qqby%cmkYjnZ<P`27exSL0~lO=FomUbnAA-7Zttz^=FzC@Z>z<WT9Ys&iY3K
zXJ9g)ZB%>%U|!n~U?Kni>Ol`8vIA?t`iV-^_-@ADioOZ4(-85p&rBwNjp=j9TN9_S
z93#eDF@Kl>xU!Uo|2a$*si2vo3{*eH-VTCP<nSK0Wj;_UF(1jJI(y_8M*LL(UbI#R
zmQ7l?jw0p1Hz9%9ucQ33)p`Q;{LpK7-ynPRER8=-=ZFf@!}u8rkm`ZmW{@Mo2rE7O
z!(!HS5yTi$T(eQO&gSKfxqb+%6DVB=Et{i5v{xm0gt^K(v;jSxj1=4QF8TE9zlw-&
z{X7UDfb8>2cNX+o&fCQ#nxa(DClIGD)QByQ9@H*G76OIh_kguO4Tvt!`*VQf*5Kfe
zdHX4r+H?Lp=j3|tY~4Qfb`>wWqY9dOh%Ww;0y{Eb=dY6Pe={Xec@hS!IKL3R=F2~=
zfVFwh%osmce<*#fq>%p49?MD__W{H1pCM)=P8AonSHRhf2goEd6S)j<Ape*lzQhyh
zPKY<boc|hH?A+F+Bs!#0@=_6<Tw?Wnw#^4%C`SXF^aJgHi{CX>unmDP9~hVbAMGmA
z<a$O{?)3#1t+#7M<K<)3Fw?9zF`7Y8fYQ9RsjiLl-&OvG*qu60eCIxi4dsI;bTwrs
zCjJ#&`toCrQ;c#D6a{F0kf=@d-{!9nB~BeZAHUi|TcAQBv+9a?7qpMOKt<b~#W4OA
z{28e^>&rscf5y+%+$GQ2;Re(qy2jpJ|C$Gq!)5$)K<%1m4?r*ih<`9{UHU_5StX3=
z^>WE&gc%?sZB3vn7AoY3+yN!m`t6>_CnKx@x5op#NfiqdW~YubX2_xQ_J@Un`Cv&T
z^t@+osW|EW-@@z!>bWxL0VhHhkbIOIk1*kXhHR|`2VMZU+jcQP`7Dr(ytz1}JQsF=
z^5N=G@HrWC!yN%hK<tyMntoEic0mdC?BWDMfr7|w7)v3}pq>ttE#!4F%DV&!^+FCb
z^KrDhSA1+4=8GZD8r8*xd@4#B6dop6Ky#oDU@tPjCi2T%i2PFk>0K~-9E|P>a6N%^
z874-B50GpZM|xZjRJk(gH?xtyPGQklur>&|`$YvX!8(;bIy0vdGV8hltj=U+FMvYE
ziqSH%33<-0AVBbLMPb-Zo{D|D(3A^#9vMog(4>*ef>3&GP#O8GCjL*GB<6$Kezlna
z6t1IYC2WmmcmU$Q-FFNS-2L>?`+Se2RJ_f$?pI#Q2|&4{sI~v2gpp!IOW(O~rp9co
zk&8ZT0~n^qYHv8ZAHWGMJm&YWs1{@0mS<@xunPr>eT)6T%j?@qwcI<Oda=(YSQIe;
z8I+P9X#GEB0KBC$Tpd;h3zRo)Uv1@V9c_Nix&ipE<pAqzMWqZSu&U!+_pQ|l=k<lW
z(Y5N#ktk55kEbkzlbjG>^K=tWP1DHlS99iR2-`I;q)9<Tk`3A_aIv#!b=kG@|B>~U
zQB_9m7AS1GyF)spI|T#;Nl^p@B&E9%l#=dlkP?vYPHCjO8v&8-_O6ZJIp@3gj<J6@
zhV1>mtDg15ob&N@$I!~M9AU0vc$LOw-*JW_eO1B|USddVM~q^{v7@fgm<4gB26qop
ze!u*GbPvI$1>{ws)T#(_p_r`+02kZ<x7<RR=Xnt<9O7qyfonUT)|S#q#qcJ{fx^%I
z2CKVb{yJvdE<%BfgIMu9H$aAfU7Iyfg};R`*z%lAvVxk}M&~+bhO}iPD7}$wW#4xw
z@vY~g_C~4KNuwKDqNuFd0Am<@Es>Kp`jWcO9SB^u|B`D;{b!%{CAI?$)GNU?Kfpe8
zm@PK|sEQQ;9c=*cHS5ZL2FI<z-(xvQ`|VkcOO4%vC5rdv)uN|^JW{8J-~h?5{LZ-B
zWDH|5p)97B3P=OQFZ)z9_Ij$b&&vR>mu$_FS5`BvW#4cjxjmeYC3@8U)6Jrhf9~(~
zl&h}!QmeYI{ja6zxpaNco-`5;MUPh1{NX1gSJ7h6ZqW72uNcJ}FEcV)vz)st)wp+R
zh@6T@mQ;Ki0n@ECbi#=KKTvQgSqOmsQjT#DkOFoN6!kU$5SajYx#&EjBSny}oK8xZ
zgwR+Zk9P?jm{SHO2|wWF1AOrfAd8~uxjh+I7TL$IYx$j*3g{_asfv*#9gxE}G>}&e
zt@jrTYb=1dp{n6PFrd@qLcgm_KfP}GvCU@h@8T}9<L+KTUBrEF=CZG?*KsY-;C*H+
zXcp@mSi&3jvfeR&IFyjXLg!v8e*HFT4`E4IrtS?mIY7){omW%tf0iJ+eJ$|Ga{j9)
zCbpiyY84Px8KeVIhRYSNzfdatj0F(#T=B{%=cmN2GVM0j4R8Wfs=M2jzY)v^9G{K(
zi<5@mYF7*Oin1;O@C}zK_cK;J{d`<=dFu?Aj~xpNDW4aX|0YXPy4^=lz8=L_gjp<6
zs9Rq8)Fxuu|J!Vdk>u=+fnLBQ^yR4j0y}msE<3IApBv<aezeY3&u|hz`!Z_vOe(Tv
zdCzm^_$Mn<V3KfmMm_`D={L-<%(Fo8JL)p^8z>4?t6M`Cd64lN5V5!icm}2+)#^CD
zo6>&jHi5&ITIsepY{2(EQx{MnQd-_n%Txwe-k-BBO>5|M_>iMCpN%UtA3N`iW(gI>
zsui@fhp?1hK_Q*6?O{txV1SpP;9Nce@bCWqs5+Vb5~e1)S=B!f$)MYEkb;7rx|G46
z;nz`(vsbcAXjY$+^(|1ueeW`7tW;8x=oIj9@n_7obBdp|VK>IDoRZC)#OAk;Uvxh(
z>m)p$4eF6^Y<?>bf%|@+1H|MHTL-V9Q<0ekALQxA6Fz1ul|C7QbPC;OGi?vf+ymJ!
zLK&1&@EN_n3OSm*yG>oW3mEI@Pcyg%$Uo!S?es)Xu<L|OqA-6qBPD@^bjOT!?OdKy
zr;)rrNi9<n<$V8OKNNFWkq);?to<fj(QtrL$DO=s-~KrBtLN$OrrsrrHYkz_NN9qM
z@4W%7lLGH91&8W}{=}Riwunr@`?|<5Nc*}kDds63i(224{9qHsLsy{Ez=;Eucs5sj
z7|?s@kREN?s~jLPO?%yNL{pY~?RwEX$Ks^vGgo3yEc9{n&tbE=uxNdsG*m$ah{eDx
z#)bX<XWV&dL1hmx4R~WmrcmSX>cOdi!X}p)$<=Y+_S&}r0g3sINO35TI&Q&6b3R|}
zyZ{bUFw-i4<MSFCH8*P$f7m<rrb3xu`v~KoBSwDvahj^bt=oys7)ig&YAG9sEIc$8
z9Pe9ny)Mt?c(niWK0TG6MxFpZO=dXQk=F1|j*r{p3o7wF;aL|)-6Es-wOoqD0HxUL
zKLTynL*=`lR&I4w=Omrnf$T>2j)2<y+3yL{p%eln#Qf=iGC&+qo^!%Q8)q?C?r{5%
zALilMle#i{@h-xBAJ(#t9>xZB0<fOUIDP2vWq=d>=nP4O!iRZkcTMRhCx1^C8j%-o
zwoD{kvMYz04zLM_=thir0$~J6C}X*;X3GJj^FHZAgn_rcs#23&e|IPmW80RSP&2IH
zIsa<$)4|OVA47=|SZn60ym%{x?nNN~P)SgZAgKLH;Zd^G>@#f6N{@Iin|Q}umFa{}
z@>-L@1aKV^T_LZ4GXRG5?5G{ioOi3_MZp_rbd=XN4<NEK;iNUg!hhmSkgu@-DFQ02
zV88I>en%E4x2&;bIV+;0L79HB6>I>eUT{{amuz+eZbOcyrz62dmpUH6^73r6r<#Nn
z#^5qB3@0URr)UcR4X9w?`6?^>P5sM5VS#tM5q!0;t?;EE3IHE0C3k58LK~wf$vcT<
z#W&!9zOdZ}!Y(n0%SMy(R-XZ=p*w{;DNStT4sN3g2$OU>@ylWEC?#N@mLCD>go#^s
zpmRYi<gf{V1s!jv-mZd+hap-h*G=yj=vEA9Cno((PO#ABy92r;6$ICAWU7^Eq8zrh
zTU(!sn|jj_9Bn9WBe(O##J$$;_-;$C3nD#)C*2mS?X3$$ZDC9tmk|e7$`=#Hq4Vqj
zkl$$wsvo)^PmTklgps8FMzKbN2p5G0HR2y!?PXwBj`g~M%U~Xy>w9*z)~VUeQu%!e
z!1_IJCNgv#hxpLZb!}VDB|Y?XZm5}l@c{Y^3LZn3q|1`?4C*1*(@*u_40HWHZ2S8F
zoS0s}aWC*aN%)7~ue{uWBh(CNR<md%P=+NXa7ln}4Z1&6hNt;Qz1QCd<AK4a(H~=&
z^Mcp{&z_JbXltCLT_1A1tJe1~Ww~2H%*b6h?RbIK#M-v0p73iyui3h1(Rd=brqr(P
z4OHR<0J%1$KP5dLR%-&z8|xx{IO~ytaNtj7K|Q~NrbC9UFxgt*U1YfL7OY{kK*9V<
ztpb1t<4>eZ%+Qn_eDysiVx7MI%z{DkVSc7{dQw{bTQ4y3(ATX;TTa7I+<@T8PqdS@
z;;vM-i;h#nFjO<Z<Y8U>z4iJVc?R{Jplr-TU11>f@m+`@$0vnw<K5eR!u193-Z0x=
z%3qVu&?nyS*E}%pTrB1~5@qWxw~M+>ZzAb7{GF2<z-)_u(Uc5g323OxnLiKrNN6+j
z^&Yb&J0i87fb!JtPDijf4#Rt8a{hoTvlZAN?71H4fDO+ro{Twwy7dAy*ReBs;iX89
zma{h<wH#j8180uP2<-s1zJ8-14%IUu-Wg!9WxMa<-jGa#4~-IR<^2d4I15%)7;cDI
zl;jS|Y4t`%tXWrpGdbXC9t!9)`6$6|YPihBji<vRpn}<k!9Pp2S=POh1sBkjnJBYb
zyJtARXPzj2f^_3k*1Y~xN7yx;+mhS5!<w1Xrs@7@Uo+yhyP_*dAd@P#Yi5$|`MC=|
zF4Y_w@x6(y)(HIpU<-gyB~*5_NP}bkEz~c~vr(35<B|ewleXKXL)@GI86Cs7CsheB
zNwtOnd)yxgRkiPrBfXlzk|sk^)Yp{+mUwNJCnd?z?-o`b5(v#Jxx%M`91QU|N*^Ff
z!I}7=Rsr<S;w0;5z&D}b)Ss*F-xDq_99sdNG@5Wxa3;!w8^KW*iLDXAJqQ<t?lu>^
zEx#F5fZ(PA@<i<0-mH7Q>%Xh#gjxSAb>wv1r-mle*rXuie$P~KV-Wof6ihc)FQ6tx
zYLe_7BBS9h7D!#+e7pmMA8cL5x1e{XQ*uP^n9lXX?cp|ys<yv$&oQo$9)RmRd2Z>*
zQ`_gps~gIg&HI?Y#$@J&V3G0$)f&q%$4XW!a+u90|E6f^#1!!pt+`e3BQaEPsaPuC
zUw7EQn9YvqEY`RT(>^iNZ!%Cw`En1k7&)j;>o}yUoKE}m@hdhDCoF@3{fM1<m?Daz
z#2MWDPyKpxCC1>dY%>5RY$vj}nuV3qpBV%H4&U$Z-F2B*;NP|U!XX7&;2QFJ<~iu@
zXW##^__k3Zc0)hAI`OjipyDmzYHzIGz)!dNN*B<6LDBRD3Vh?>)M7&RNjaN!TcWsw
zkiijkDkW*csY=niz$b_9Gy@u<?n2Q*uy#9`6f@8}-I=;whvt0qEC1au4dKO|N=~nb
z&o-{t3NvKdz(=&wdh`)}FtNXj-Q+qbu8COBR}WhDpHeIr#JW`w&bs)d$h5tUB-9eK
zE;Ch@4{FIQz#8aBT*E9gusXrmAD3yP@RR|$D?Sjgmok_6KW2p|izGs`SL~vyOoj?)
za%z@QCv~adTby_pItC3m%x=YJ9x}W?sZbF?l)uD>PUzGBvzhdxAv*#Z=XKnun=0O!
ziCW<#URXMrQnYrIPf0{XRVzd%dxgQQmq63iY*rw#0398J{+YHZ<KXTzNdCF^hCPvr
zml9oEbH<|h`r)+fK11X#>>VtE1se#HEDZ)8b?Lq{f{VsoSbMr=8D0{I&n%20lOwIT
zOxky$`fcgutV9Uo9BBAlfGoGoE9*-r5RWO!5`5)-1|^HeUkEQGFo}m3f@jCgS)YT+
z;^G-G)JCC(cUc77IVd0Z>->QN)SaVhgUGa9KNFZP_JNmVVF_=i-rFpBNkIS?n4*G_
z>P5D*k{FmRaSB|IA+lttM+a~XA<UEP0soWtHIATDl~jRZ5=N*$CJ8$EE_Tk!ERnFd
z{IoO}479#O`!4j+czq`WZ`LTJrd~}AZz#Jn@T5T$9T5{C5Glx;axnLVtM7YSNB7lX
zUB7ulC;)+U(dX(w>+xY5;9(*U<nMgfQAY0tg@}{vsyz(#8?^&>h#Wd>A4u;B5A`x+
z-#dZaP4-{3qbn$A8K~vm6GGMUC|Iyf+6_663hL5v=Y71I{{-{xhbW#6L~V>-eCp0o
z$kuz)@p3gH*X|IU?XO^r`vv>0|5lj}9PFG}12t4;Y}58^F8;w_0_^~vOR8!USA2!?
zp#$V*Dbcj+2v!gtIIxe>Z=YAW|ML(*{br|*urQ%OLID9;zEkn7{ZkV|{Rg7_d<%1*
z+-nr4WYf?9J@szG{p<Ir#vu>{P`_aB3%=ld4C2J_IdASqJLnOFwWypV8DJu~IQdY6
zS^c`Er?^ON*ware&@tNZjn5W@Ux5IM3j|PP8=~&`kB^=LE}=S$u^7U<0u>1y-f;j7
zAKgi!$%4j;8+}*l)Fe|^%O-kBYyW6smmrEd--~2fV259UJLY(}Ko(5=f8IYC#>Xbe
zSxVIo-B&0K8>LEujyxjdW0F5MF5W>vSIrFuiLm}lWOpf4uMZif3D#HPtn5rGMqvJF
zGCU%6z@jl_LzTP)_vB(3*xr?A2K63tu|$3F8Rty8O6cS7YUjc&{S4209b+(fWlZr^
zQ~AQbw7J9*IJj%z$UJVW$2T#D{jgdcv_jAqD}nB0j+B?2__qR^W=%y&%Uv_*S(?<k
zU!9&@ExK3KX(vhfV><_+UWeF@@E2)y4SKv02sjbhcY-g=|438uUkBKXaN%N3J>h9h
z?kw-GBcak@QPBr44axY7_4v}Y-duJSBW<#JPaxE|%b9->c|?XX!v)?7&y6b-li~hm
z9_lDgG`-j#vu(IcticLYdu)mUrAB|Vd#s3N+Ch5S{Y8FJ+EJi31IZ!{UAJEbffTj(
zM_EJae~AR{Xg22n`!Z$73K7gvro=XcvMTUjI$Z*v3K0-N?Go9=a3bi~nW8v+KxW1g
zaBc5~G-^O<A9XSxJjmm#faPO-Dk>ektV=?|H;Enyw0jE3ph;xi84GQUvnd0O2u5)7
znjH^t9*tZaGBI3YR8poyFB+>>^$v(bgU<Dn<F2M2X?z4=#!4g{@u1h44<bG%qD_13
zF7;GHJIMZU0UP@fn>7~qU(i)83APG>naw}#!Xz-*a5vp&g*W(6nZmz-jGVu#jQYDk
z`cXGz3QcfZ_FR4IZRQT7OfjRKh3VsUmtP&@<ouTzEk7dg(Vuj8O(=to+{6v^d_f~*
z4GM-z%H5(Z0!MAoBYvKP`P(6I2MU}Xe^Cv9^fgcbJU)cot~)2OPHK@XeokXCoy*S1
zKFb3>%x9r@u7yeEx&F^M=2v3ZMsw)jB1!oy;?>ldo2CKNQ6;ky6w_I5>wy=Xkh69<
zxu6`pW+oCE2F&-Te9Zl3Jy#7o*jq`WyC>d(D{GKJ*P4&VhJ{>CJEQNC%N5-nOp5<C
zqsSzM)%JcY%KH=61CpG`-Bm$nr0cVa&LRT@RQgfSeMYy%eX1kh(e#PhOve<rBO50m
z1_SNM@TVt-ULZr$x*4M&>8#lb;`?Oel$uRV;7&Vu5UYc=a{#tEZD7JM7r!sO{n^Gr
zznspFuSZ{A;MO;8^&Bb)TZj)5CV7%o;Zx-3zygUa2zpx^@CPL;Qmrcc<ylJbU4L*h
zM~a>xGjFc7jk4=B$A^nTXH^X%rcoNwuZW7T>b;Xl*(W6Aa-+Y1Bh0v+tuj^4;gqFZ
zhm?xsQvlLVX+p6nXM1ywfV-=#7K}eGM~5Y(Y6+z#qw<32VUabO1Y8>&kiqBaiG}YX
zX;6sah<;mrDyHDzG#kxa>kKTbUk?G|PO_knlPUp?zteO~U|K=Vqbx%TLHP<)Y*i(*
z9@2cwq=A%Cce9Dw`*ZSb<_nK3OD#M!4PXU`FPnfv`&Ll#;S>5_IrYBBKp#+hwY^hg
zxWHje`13tEBQ<+O+askg|2GD6JH{o@8=|nAjbfbfg<|mVnIgb(u^+CHeMBORG5}M;
zf80><&%_CV?7{F4xpF8eA6(5e`snW&8Gl;*%T222f?eJmTJX;p#zAe!fMNE(FaE#N
zn4nTd{9l!_QCwh663mi83Kn{na>4m{ka`RmRWd1|nVsWeP1DE!iXh@dJh*by$9TMH
z@XfNk4`FSnljeX06!sBYx<!8?_*tdwIg8W2kn!|pFb{)rl9<8qdiRvIH9Nwtls9ow
zh;j<A`HwFM=dV9l0x?POt`ZgC5uqLr&)g9#XgS?W#zZ1!3l>h6#F#wk&^DGyUGHOO
zhO`9_eWm~E`N&`+a~%OyJF+!>QDBRpFG;G?&ORFM8So6;9y<EJ2sD<h)0cuhO$U>Y
z`z*1<Z*Fo}RYKQTF#c}JUfNvl)=ME+uuGsf1IGW<XMqFgltX`Io>d>sE)|6h{PRIW
z|Nom2+zN<CvUWHsj}P!LT9p-c-EB5I&i=d9VT(H10>gC#Bn?zA1J_`gRBRz(#SI{{
zLK0980*you%om4YfDZKGX!Qrk+bDoM=I;JgF=+l{!~vdnk(cn@8xq<4(6^Fts~zSE
z>t?WfdbdBFt9^LTa{fA#8UYaAXQFz4J!g(G_34jggfgXp1i}`mDZCfP&%htoRG@U&
zx|S$T1!RU)uyLARH_;-XvX#rM@CiL!Zh@#V%@qw}?Z=}%HDct{Z}+Br=B}~~pz*gL
zfX_!|@OQ%Pml~eb0+vdG3%U|+%g-zj=H)V9MT%LTYlmjF(Q4>$V@>CjiGviYi@@XV
zLcrdcE?EE;jtmnjhL8rbW};>ZawvM>r|N$K^9-bUKRn87x*%AvjOHjreyDrKez5Ud
zAfxru;?i*uko^K17`0kQfAaflKw9qth4Sr@3@?y6?S*JE_?NMiHFLWeHiExXu>+?E
z?E$O3QzJ6~!uxmltH7tRY-3g3aB@+HDn9<AwFlOJ4%bJBqIEaC##(&_ND(7rC#F9<
zO@T`GA<shg#Nhz?FuwhNQdU^O*BN#H-;@>Oltp3!@G`+OMSTE0+p*<*noPvS>UUP`
z@cg(Fpz&pvLu&u=tx&6D+nfDQdz48&-K);{-<Leo-*=g>XnHITGljJSX~EH4g+`q~
z{Bg7ot3F_I)xdqF#+3}pdh<-}n<LF7(UOQ~PL#v^T8#~l=Rhm-RfZU#roVU^k3X&&
z43(Yu0u@h&TJ<ssC3yA2Cih*Bwr`w@q3KF#TonvW)hdst(hx0-@|iHnL8ao)zov(Z
znZ<>r&94a5`sm)EKYi+JCV?OK+zydoo0u^TshTfXlj2q(ziH^Fyz5@q=k#HDSJNGv
zQ~K8*Aedu<U2|QqKQyI-V9B4Gz$T*^mEL%E_v|0HYLtO{q0{5=;m}ZL_}L};?cG69
z;bq&W49A#o=^P?hoR?A(5J3!l<6v*(YXA0V581y%JC<eQTb9M{Y74Cic{eVHpO!~Y
zONQKvwrX<irwCwiu))Wt8Xozh7{Jlq5&oXcG;1sJLk^NKM3H7xpd<7{WQWj1aX_?d
zZI{Q&b5yPKPXl!%W>1F$()spNJ*T2Px9;-=td^q6A|@k{gS??1KX?%S1Hsp}7omjq
z3>3?6wBV&B;KRJ(%f(P=s32|(oS&|(rrpFW`-o6Jl@^pfzpum_4+&?{)x0`M`{j7D
zn4E(5_+~HBeF{$VxTjzIA)F5)D%O-Rl!$~)yLCPsN&e8cL#>d=4phXNb#_@H;Ae3l
zxa~Mpjrg!QeQ-W%sp?AZ8?K5s`%Ag5O3wQ~!&#0{wzG8jsG)yK6U7NZn_=IX%%A8f
zIS>0Zf5!kzE~JRKFlVENQJm6bVAF)L-$TL6{^ngG^v|hai$}o7B(jjPPY2c8{VjC%
zLmo%^mL1mVu=;w!WnkVTwdeQOW!PsfBA;$&FsL$O(uj)Z_6d8$n=>h#Q@?R<SHPw6
zmd9~oJAoM@hDFi$zy*`?zn^u<RmXAH!~+TuJJz1$MWveY6Ixf41e-S<mM$y?7IJX;
z*{Tu9bg|y>cH9|FGHj2-fW8`}g4WyaT+lSF4reNazh@%V4YOSBIAog2Iz?di^n-u{
z2_1w+g%wOrH%*D>|2_}=BZb<#KK-nRu1T(%M|Xv@<GRXjCvG=ds2y3Su!<pp#Q-<v
z2lH$kHKd=O3N~%gv@AOGanR63mLNy2-w>ej;MrM5H=zw?yP9K!$?=gQQPhd;B_SPS
z1Di@7eCvI|EA<WBf4dC2(YUErcV|9)rJeA0r1X_lO<k<1@|T*(<Fy;sS9=ZrGX;!J
zQ(TOM<Nroytf+qyCP&yQdfXRGc)I5<sF%atZMiEv**-|$YBAaM`8?YNjOC}lgmVM&
zQ;`?{HKk93y$kd@zUth^Y}hQ^MZ}pzPge&c=851U+cpl^a#$$AOH)0-(|K?F4KvF6
z&(;NFdrJzt`Tg3{zH|MSes8Yj2LkC+(krA_D~ht95Uy$~`SF8y!8+vpy9s!f;Y)Df
z0<c~%1WUX}KKez)p0`&?Yje?s8WD!`I9{4n`{Avy8v0BnEFyROVm>9;Gs6Y6Ce!-S
z`$7*eAxYR#FcJN}Q6x0jvJfj;9G0qelUK#7eZ<g%$wUMx^-NB*Y}H$VDG-$6#88}J
zXd7#12o9ZSatFW9#0HD9I)0*YNP}$&fphOtfaxVo2>W+*`XXSy#C~bra*UoTo9jbV
zpc`#ZdY(<kpF}SVRuMlL%yhI*kq8bGBjhtr(5uM`FSVzPUn<oecjW3Rywz~YUwMux
z{P%jWp?np496AN8*P@g<z_Q?{f$#pnDT2dcvV<JZ(MXc<C!8b6^*nA49L~$Kd-=<E
zJ2CCY1m&N(%OP0`CsdOK|NTU92>*-1YM0(00pqwThtTt-0t>%*Z~1|X>wSm)+@2nm
zYi0co?tD%unBfo!2}nJ1)RaGRoB(VqNx6>SP|VYZmqCg-u2xK*GrO-JUzjQqesSf`
z!HOvVS4UL__aT(9SMQWp)8q=Xk>k*OQXIJ6x_|>4m*6c+#i3PKjx3^<`APFMS*@PV
zL*aIDstLOKn~B~n%FbMAD?N^8L(&{xmYnE;obFeJui+fbWYr$`7#MhiDDxaMB$siO
zwEirw5Ax4`I?!SdKZM8cGq_)q1^U1E*hyAYF+hy-k_xO3yqFV)=Kr1Z5czhKzc<4W
zh5*N^%ul@s9!;0~6V`3)6pgH9daXwH>)n3{x2NN#92hyb+#1<13QNIZOG9}H(|i59
zkN@#;kH_gdIb_h<fD`--+0@Z}KnCAt=zh_H_IZ{^K+MNKIdzoD_jVtedKTx;v<Bg2
zU|3M+eVC{r1acCg`f8gWrZWG}5Kzg$cU+lH$Mg+VM&Cx>jT>xddWz3o^aD%0ta&{g
zkuGAkdn6W^@$pEmp~k$%ikVe`1+|flPE7-T{gnje>XkUHCKJS-x_v$gZJL#Ji{@R}
zd%VbvlPlxE$7z*sPf)+O+D;?b3bYiX+iED(nR>=^Sh}JWDU@z0@;3vo_4Puli^}11
zRk4rk8gL8Aa;*NjOgm{LkBbLp(829Zr7FDqqahITGVcH3baQg>&Bqbu`%~!V!F~d1
z7VS=|?G-OuYQC7(@S=$L6T6@BxqR1``WAhz>CbZC>b^)_psRMgOzv$f9P!?7b-wHl
z@YQ3+OzfS1uTRg=?)v44s7KYn7>%~nBza5fWoDlaI3JJq;}xC++=oqY<=t6^)?~@s
zDu@)afCoDQqsrwa!Tkze{+0eXSuAIEVPRZC5=L${6|9E<FE2D)2AVZNYwzl8R~~?e
zb_cW-b?a<&(1${+<if+lPq&6{K}OeL_Nj;fP^|)@cvgifP*6u6r-!ksSj`{+6s#;b
zAE79=6p`cfNqF1sJUA<%S(eOK7iLvZOZ5}l&J7w}WaJwSSH)@Xy+8n~Dz7X-JxcEd
z&kd}TQv1yA;CZSwrA**Oo~vPb87UtZ)=)vP6TB{{T0mv5z#A;?%~fstAW<fjPHvy<
z{`pgKx9w2XIt$bdpn~XDAs=P|;HUnB?8F-ZAjEY)p4b|vRDy17_LOX(sHmvP={Ig|
zl~I3;T9LZHkY*k<s}Ha;A_E=QY_*2nA%I}fKEF3#^9P`Do;hsxSv7tHiZUj{Y5hFH
zcSoI(LR-W|l`i{Qn`gku?u~qM82%Y>CP4g6m&nJ*2V}kWriv0*esUj!+ErFIb2IRm
z$0ZYL-WG=;<11@pu6TVcV^@08AjGm2hl8E`6xb3;uqyO^Wu-5u4&YVVtmg{3^g4O=
zmC*TpM*00&_1KCi7)P_DkY@Y<w84QNLhQo}^vZ0rYJxBJ7rahWSEP+<-{Cwr-c5}8
zNZK1l0xD>?M&JEeZlM?x(3NC7;rRqeQeOk=f&3?d!Q!H#+n*Y(xLbqiA_8^PSWm?6
zswb3B^Xz(PNP%eN5x#|`<yxEZ0O4Zo8r!Q4vtRpCpo|Pa2wuGT+xbd<6x7_H-Dzs=
zJ371oFgEsNGo72tCc!m;wt23QlfCxg_pgCOZLqO^@~|<Aa=a^Ve`}LuZhooEa|cSB
z`Gn<ZzF1=QK&^CWNzD_2GU;3>a=n`8%0*Ud_0f8*2!$?_8W`qHiA;a-G@<H$Cq@N`
zu8+pR3@5Yw=mg{fGsh{{gFCB(#qnGPMx_+LBsuM?7zOs{Z22uyg^KRzv?kkw$){VX
zwk8vhhe4pW&12o~d4Cg5CJ>PjZDEcU6-<QhW##A^8XGAnn{9gV2dJa@%58BM;6AGn
zjqd*HHu@ZiI`y7g>Wj+eD>3sFjeeh%g<=HO4Af5+pqPwV=m}y|{G)nfUG~){%WCGA
z%-@E5(Zo#*xL)PdWqe#mX$zw(ZP+43Sw)U@XsA}Bv(ha1T*5R~k+)$?%YL|+#dBy$
znS6Q_5s*g}T}$rIS;=<s9cngxkYB<OAs43*_{dXX*U72aSLHW<<x;K%V`frFUCK|?
z`g)jBkZe8j+}YHeQnzc1Ja`CYqc$~hz5_G|NK7HwqM}N!Cf}-l8t!CO@tICiq(=1A
z0mbLybEMHl+7|BG0CILK+fnLwXI(DV_p{Y$9F3%PqOV~L(3*{ck#9kN;~M0rR?p3G
z`eG!MoQJwQIeyROGX8qvb<0&N`?E4T1l*=UP_Gyc7^5NFzL`%qCL(6P!t3WI<WE@|
zuFhxlGJg5#8k+Ico1S(AmG6Sa1KO&BjBM3p$Nc*3Fx&usx7n)nrHG^TYW-zC6y@?W
zo`p8KAaO87c?jK6>&zv<pVs{I9$ScZAwVxIv4{b&)cRNV<G5X~1BH?igvziO6q6*}
zvhz|u$>?2m5Glgs6!9Qs2i|L?XpRoGJhP8imKIPQRsEx-9D2Mwr1sXcAH^^Ak5(fa
zLzX88nSFAJ2cPruX;s26F(O*t&RXVLB_vjgWi{aNXBvXp*BH#1lz?6}RN9a(7*ipl
zxQ`l(?#Nh<rQG&J^vUxWAr%cmb<rI-a)b?*iHhgnXm9qXOSD5{{pze22$dak5q6<K
zqv=T?)cXl-^hL&}yid%`!8!5Q?ZuLcZtD7m;ok{ARVP%PX=tzYkt9i<%5XQNiMmzx
zo5WdPNv`?fDSHRU_o^KT^QYN`#wHLHzF9zb<VL&2AmdjdhJ(sP6(MB2&XIBB6n)|g
za2D-kT`ggVF8lI!4rWyZX!KC&vlj$jx2yY65-kfzzSkpAaM#Cy3D6`W8pefGPI*#&
zMpt;98}Iu_%ilc(G+lXajBp(=U?gCMgd|i69vwMb$RGy=m!V%c?2pdzpPrdg$ec20
z6=yhKP`f3+vFJ`f+s<_Ewjw8q;tKsKuG#@$!^7M^K=3)fT$|L?i($gn>>Eg^MpvEJ
zn+&A@Kv@Y}OI3M-8(-?_t32!G?%*ya$53+Rl8Evy3RJhxwV=^WIV4Kpe1QHZzg5QP
zj3%<edllWhix_Q8lcU`qyV;)4DQY{>aQxVnwG2~1OCA+5;<`nL(CgVH>M-?u!*>G{
z#bt=rZHh{xli<L|ro0-~XuFw`3=^={`x(XtJ9%hK%OS9Gc=n=fM29QUxqMNJAAY&<
zLy=xBzk#KqnZW9_gQ^=2lL(ju<I6sy@<&g=2j(UrzI3#uwcQ~=CYrwQHE(%Q4Z8n=
zCz{g07dhep^dA2Ke$hVtFAg3Rxnnu9iRx%s`o{#Ol+2~dE|=z|=(Z$w(pAH!py!Cq
zIF}PMtv8BK&uc3d&Op`5W0+5==6Z6g4AxT#3Ihpjr-*W+92~L$CHS1w;~`)CzW-ny
z$pn>)!2@6eO|KIArMS*RpZ0hi7_1GU=ojTWLQpc<k~_cD8d0z+Y$F<EJiFvNS2!QL
z?>XYI+OBAb9DXm%Gx+*3l6?c*v3%~=kKyiHG1%sGO++>_G>Gq9hRNP+#ZZ>{hmTLQ
z`WUv&kOXLB_1PE_4v=5VAg!yMmv(YmbtV0gkjyJV&)J}|Rv?UR4-Uze>2COVI_>as
zG{qJ<PRbcytYbOh#PBCq#gBKCsINn<8FmDGVGzGyiB|hGf}((NQmhaFv$$3bJHFcj
zPy=pQD-r5zwkTl(ZcWvBg2Qry&Pvz;w7Ai#eYTvVeYdq)SG~Fw`XAe{wvI_TPC~dx
zOWyf>LqdIjD{M{=R{ie;N(h0c{S=rYJA`M77%!mS>bwlhwNIG+ul^8OzbcyVqjXtY
z)yj$$?`|yhZnc=g9m>~db&v>xTV<?(m}SkNG?>-D7D`+ngcd3Jc>~<?@gvTz0LfqG
z0=pymE;i%N&+w{()<4vX<bbx@5}Ef1NPpv?>Yt+I5Ln~Uru7ScAYuMFw>?^kQa&=Q
zBm!UedRXRvv;Y=w%}?24k(L%k&~#<U0hAb+JHv18MyE#X*7Ka*d9N}Kd}+Sk0p(VN
zWKo81f~Lzvvv)>>jHl=Q9X%+YTwa|3pcc;Z3GX4~$|z5n=K><%l?*a)_c~|uCNCQ_
zn~d&bfa~XI<E&lGcaUixXCJ?8=tckyz*M38_h!|o7P^0{BfM`V3kY$P;fbF(^id-d
z#4(;)0sW#CtqH}}?y8yh0^dp7{8J1m3P2XzT{#qmju0a920edA$92hnn0o#KI0jOm
zUZwJf-<t#r0F0Zf5p5;gfO8>D_(Cp9$x#AYH(}~C(CTSISf_J(Jdd_UC5h<09c*D_
zO99i!TZ4|QXYeUhMxh2haC;?LekgaCY995J@kD5NP{c^*z{^I!NfB7IlcJm8kc}V@
z9st;5y}GoA``c4o_-?YBHQF1YX5(S&Vf3gGg86fR^$HjGN*&!mm!S<QuMm|&Yb1CD
zX@%poWR11Cl^k_@lE-mNet?*EsXLkZ81aK3WR1BG5$C%EWJ$#3aG}LE!{*lc_o%Vk
z{R#aaA`acUdPuLPm=x-{g>++Py=dzsUf5uIxVbFJQ;SnFo*X{w{_5ld(~BlQCOi$R
z=WRQ>i*0&0<B8a7itODBdp(>>lSP~KYY9|S<NQIfwGHvf;|U{CZlHzE{GKu5c{hjW
z*i25XT77Z0^^7#BIA_d=V3i9#p5+q#untE;Rug(%n&~{ZgvoVLgX4Be+^_pS(D>&^
z&hy-+8CL*;<Y+#UyyALkUD)l4TA;?gIjV8RHLUWc&hRA_e#-}>i13A4ms-g5q??lM
zaSx`I1HvD$1-`!pTOj_%h>snIiQZ@J7DF6ltrj#6b(u}gGP2&CPRrUp<Gx+%aS6|@
zX8qw2h%>M=6$M||<1f#|IlIPC`GnP=t~6@slli_hDLUDRn9>ZTi~`#ilVd~xsL|`;
z|5ihmFeLdNAlK7=cLG)4_*GM_59bW2?O`X<Gydu|Oy19B_w3)%Z&yctA$<3eL`2X1
zckWBedTll&(jBjfp23)IBpZjgCJBA2=#cBiuD-r;v-j(ajDjSwpdD4lTuv|Ez=PtB
zTStsrt|Wf7e*s>D2f*Q^a=CeFN0)IGrmy31j)_=5R2Ru$FnJ!bT@d$(*S&iOjU@gn
z9b-?&>F_sNPxQ=+_10*C@k!}5HpyqZ5ns#s8S>@rBMfbR#p~4uLDF=X)DGmSAl>ua
zFdE_@i!EdxD0*liE=bXpnnq<ze5XQHS%{uBO(=c0y$e?1R!}JU-g3HfFlOlbY{<l%
z2Uj_*mgp@BQk~flJZEG2P{tdys$Y?4t5)BfEzqp{4c2*7y*ksw&DiLChYrXu_T88}
z38m*QLlvQTz7o-_$!7e%_e8d*kI?fh%RlMJo1EhBQ5P6}^4X2LtLj0Mw$6~|F?|p7
z$eS%ftiGHHly*vxLX6-3Z~<V>M-N{lJT_hF+{LX_e<$G`F`4a!Y2#NneIDYlHWb_v
zHU0|D!7xY}Im+aR0H5tQ3YB}XTd9SH^T=S+pSo$)?~c~ne;qpnEEZ-kcb~n42tKRn
z*lyI#Ww~6h&DBn1`3M<{>YJ(lLuS15Wz>+>e!D8(Xqu}^dk!)9Ge3Oo;56zgdb*5_
zKWbaUk}vT*P%5+{AYsl<>F@t;+||$`uU})dl8&r2yGW;|izm&??{EMVHCut|#A1zt
zuYtF)?m85p=v13ZQi9t)`}<(sPBs@gWLoz`rGp~r9xlM}^0SE&kAG@{PW`%~iGaQd
zQ6M!6P+8pQSpp#Q9)sy(&CT|ZM552QRsgAd0>qp*nlS37wc;b;U_-w!3=;d3bTXNB
zi}$Wc(U3`JB7><2h0)XrlBh&3{-5Cc`u`t%rxHGly*7fBzS>EAk<_t_qmzY758=mW
z6g+D#A0T#Uey;T)QD1%J#Bh!g>gdO&SL>r8XzMsJ@L&CuTPAV^YR=*U+nrr8RxU7-
z`U@Xl2Y|TM(K6X*kd3^2>zRwZASI52I=Xew+jp4!^fKR)C&&hLU}#sPdzVc@Q6~BJ
zKXI*!15ERG!+|wIQo;APA)ie)Q~Y&{1X08o$(M=V)Hd|ljbMorG#{=m!TKzYp2}QF
zukHEM2`M_%I!}H)Q_WN4IzId{EAfc_9XHd}2(F|(GRHrAOXwdFiAQ`{*6=xh$hMo?
z(-=t)5d>U<Ai*n}1<j+wqGbA*dziwF?^fmdqRnQcC{wSB$sADaOUm_YsRm&b`BX(S
zSNi48{{k_`c3lSp&Uf;JPExI`Zz!S089kzUI{lWpTeBt8Tc3Q-I${P&O&XxGyuVxx
zBr&Bf(k7(^y^=`A3J?~rNgDhE9S4)Rq7~U+PqGv3v+J}kR^TB}pz7n(@&u|b^hb4u
z7>Xq>G#8MdI);|Aje4AH_J3D*K%No<k+{9mHh;b=h{Seuv&%Y(SWMtXIwm<1uR;K(
zj3Cr=yIcCo<_i(*&L+BLjJBn4Z<=?gZYl~8-YzfDbN&1DL1-(3CYcdp%}52i=n`P@
z97F&J5I?EQGE1!))2Tc)jBpILxas{4Y&$)2EgGj?cUv<$a;NW@>WmkPcWI?vqOsD%
zas!(qX$a*_aZ*H1v#(pn(Vuv6?-D)P62I#df7fQ^OjasSaN*w;Jp+%Uf_zA?knpkM
zrD)YJfx4#-^PhETzS-0%hzR;5*I2eRp-s*oHvF+8tCZ8{m*uA~LC?U(9Di_1`Z8b{
z5%jrxjKcHnXdQr<iq#~2^O$@stEo!09*-LPQR$_&$;a9VRwPrwdCC>rciz0IuQ$vu
zg?gf!8d*6Y4DQJmmbcVv9&9BmQ>K4YNZz#lI=7Fhp#eN!l-0%hf&{SSEXe4Od5M<q
zoTlAr>TgxY?r<bL8jP%MaG29<YngB?xv4)YPSBViHB<Y&g9|R#PIG1m>5yv}<alwE
z6a#ow0;YpW1_3$djEYJ6KN=N@w-Op&$%YXdh`mFdCDn-QJxtk6lNPy_c^>xzu76py
zOPm%{^9f6~vXs`9!|OtF_S=Tgn_pq+=ooz6dwTq}7?%F#goqpAFdH4G!JJjvS+|L4
z+dwIKJ(R;Go>+Z^JN(93*8LrVEH7fY+Q}CLG)m8_wIjlu)dZHoBlWfM!S4H|L(kqK
zY{e7Zq+Rk-mL3*3y!MyBI5SSH9-#EFQ(ie=w6Er}Lpo*?$XLUlsA=v2z|<Da$W}gB
z5W5}4Dtjia9eEhkaS|*P=&(FpE^W!N`w>9`ToNw|hMm`-h65tUs4`P<u<4sh=wytt
zGecNgerGjqKwxzjgjZWpu{D>=U@gvsf!EFo3G3j69Zcp6uYZxm{*w?PXacM5>wtNR
zBuuI+CP#*~--rFcP%K(+ooDN&pv>xIM96X=9Wlz;SWc4lRSutP9NGRQ8nKYws>Jk{
zj%UQjlsTJo8Pk@z4AW(LuhRB&BE@#=%Ei}dyAMM`ddT{@b*w%r$Q4S%^B9$nx@er_
z4U3*CYMg(Squ~~IuuH}z-ZM4})PPw=Si%t+tloV4gfIOBx%J4O<KxmG%7t3UXx`@{
zx?i9{(sKgQcGlxxrB>5rGCKiPUs8E|<BQ&PlGO3vB)C3lj@N&$n`CmmN_{S57R$cc
zu38H*dRW8q@_x!;+#G^ytOPR_+C(sBS!AHYXR*FX5-XqWGqe&);_x@&oKe0fRKgO3
zC3Oi&KY{tF{vy$v5|J2Q-|QGT{JGb|Xt+~^)TKJRGGr^#`xR_%znI639lvYZxwkBi
zX`YDw>-TGtU4v9Fp3mv{p~fW5>aR2)39xcCRQs|U9+D@{y+z4y&Thmh%JUgZD1Jnw
zYaSMu!s8wozAd$6`$^>ra?=}YF*4Xu<iwqeuj2?%ET38zv$|uEVPBAkQ3QTV4I!1y
z2pms$5jC1g_1G=QCy#dSN}dX<pbmRuLQ?X!<j=2X&)Fcp9^NgVE)j`h$P6Og1{-oW
zp`iUj&k}^mTfpD(<5(gajMCq=DpC)x&ExD*`~K?)cN3`WH>CQh%a*N&%7g?)51O;B
zfy-sKC<L2NHS_h%1MByJDnTGW4i3BLh&0@a=k0!wH6?H6cx~C>2@NNxE5$A+`R!Ft
zmCJLJ5R-XtfeKaDK<Kw(P#x{_0WlHg=vxpHQL#Yyruc}k+P;}4GB}@IEkss4d!s(}
zmT3iEMKddZOtgKiQGV+xSKBCz?YVTCHGmr*OT+{-UI4IlN1&BUmISuBdKmd8Zy{pI
z7q1aDu4_TW;3fJD-;Ww1#R$W3p8>At-O#KfXG}ztu%e`lx?3wfwzz4UJ>qzfP&PCW
zlqU7*+ADShjHOl4u2*KLD^J(MUL3Fgkcq-`8we%dBz!Q?ut!IlDdM<!VfkG%#BGlk
z!=WDyg6>jehH+V@6VMaoOK)a!8OqHrzJqVANZe4Mmr_HBy&Z-b_Lgon?Z^RH#E!*R
zv}Yp1q*mcmumrw9>DZQwP6ynpnYc)+L%;R_al&!h{rY>H47+;7c;}yU4Vsu4v7j+$
zS|U|3l8m$No7wh$X>muD2f)m$Ra9;JZbs;Mfq4JIcl+o}bN3qX+zjF90^7I4M>vr(
zmO<8I@YtP=9_&~oNm^f=?Dr{j?DI^;s$0~lhhPyxO}vFc@sNocm{!~ljTsu1evr`x
zyLxcCHAVRFT64fe?Zj;38NU(k^EMM&8dRmA$*w=C7JORKY}Wm<v*mkHDEjO=(d+MD
z*!V+wI((DsKqOM=cl#&LMH+LgTbiS(h~#yOiz6+s(1D60Lk<>BJ2|}M#tUB40=|eO
zX^QAmSFcOgAjM+CZ|ICpJ=u9luK|(uNz=0+?X>Xk%qzsn5<5_}a(vF;FU6!7;AeiZ
z*O{eZgruTXN7x;;viiixdWivP`clt+#_EL^BBfTfoz82fHCB_~aEb&s*<yJ};}yE9
zw*7*kO)Hzvc(DZ1H21I9QgpAbm*$jV_1EWWCCu2@WFm&He#PJ%Z+(&8^_dW(Q9s_-
zcJi<=5KC6vuN}1sdk%MsNl*8RV0l2ARMA>i$oP4CN90%rKS{kAX;Mp&z2F2zT+~Wh
zuIIoy94+k&P%WeLK1Ehl0{O>11{H0cPrri(uD<>_cRUoo9siQ(m*)pB$!Gk$YOr5g
ze>Ie+NF^8<Yti-UScUt_s$Vv1EgW49JGm<}+eMU{Fk=@$r}|CZ=tSEO2y0DvGG0Gd
ze0tHHrefLGppu^LXqT`)>Fm6VLDM5R8eZ+4+0kNErwrhAjvr`LTFM#i-UeVQer{tO
z_DjftDN)K0Tar&XtKog!l!P<<+Zctb+>Xfihksk5e`Sdszv<#+l8;*#r?%`>M&~<w
zQfk4^0QtwygglYnV!TSo`;ooXj&~$lV#n$RV}Ppm7^Nw6!8XhMS$K4m!9I(_=w>s<
z53d0<oaTw<n0f%7yB<8!+63%`(?nWb0Yw=8X1XD~Z3Ou%D!bj2r+&1RqGa0a6+Ofm
zsLNsRI0Tnzc}i)+|5P?3U!lGe|9E5K*zb8cnF@qVu|KSp;i^WMyCojh{no)1V(3O2
zOP>cwgdj$ri<R5u%Omt7q_1t(E(|}2kVQUJdnA`TiuO_!fgsC)p<Tlcv-ORm%<k;W
z``hE~{I5i(Le*h6EmoVq@;vi7+$mOU^XHWx$|`g|XxBn&&9$0}ZMezC{6)+4G;L}<
z^<I1>g}_mKarZ$VACSm$h!#-vGIplXE(vjtxnhwJ<jqD)_SwlMRMz<N_H}c;#j)-i
zTywt=nK*Wx#yIY+vK*RLRq}!FwBPtT!W!Wz9f>f4cggrH@I#_^gXBU>Uf7IfatuqO
zF}>NkkC6z;IScZAp)sLjB<R`CR$KHU7Oz)f=FCvlv_*o>$GSQ!FyR$u$|(p+T+G9B
zVxnV4W;MH#;DY;hIEmkz@rXIVblnHhownGKgyOV26#52fpLJlr{Ghv;si|JE#hiKe
zveV~6^}d=HLiql8R0>ce>G-LdgAIB(zxbH<2K?rL^qJe+aC%+3eI7=#bc_BGiJPF!
zAmr4wA)$Y2P(FhGGuf@}E@8F*4Z43AKO&~<nhXKc7zCaeV$yC3TFSN`N4!*t5#VnA
zEirTwXRlYqO87yMtPg`lO!@2!SF_s>NiQRVRQW^>AKD9%FKU@H*1DI8#!5cNcWdQs
z6lgOCUk#&rvyQhn(mIE8pHFhM>Ivs^Omw>Ky?~yjxHK5Au<{?REH}yG$1X>81tIU3
zbx&pIAGA*MLw&_fT=KZhhi@b`PfVHNq^a8A_XHqqXm;JR-+H0FD#UNbBCpi+#UJh_
z|E`#NMoHx(?K!uvgf-MQghUQ`IBkuOsJB{|zH_|(>+sXHVsQxCTl>EA$wQQ$YS!G1
zM|=V$p4sbQX@muxO?VW~YgyFJY0v$@>+i;ImEc*~--|sh)lNDJp1^IuRaaCxb?db5
z+tZ^{+SQR}SWj+!V{1J8d@QT}ir9#~M~6y<b=}IUf)F98KGbtKFVspa2i<28$DT~R
zYj~8NY?)?=1?B3~Dz8xe!4O<zhqSiLPg(XK-Km(APdcB!$$l*-`_oR2Xp8z%JK6fe
zFd46zWzAJN^hx|+_>K)dj$N58arj=c^%G{vna-~*bLC~Vu33cOFsw^>mjxyL5Fimb
zjqhybidnV9@^TkE-EIDLh-yz9W(Cd15JQ@s%91MLW+X<1N<Aw?)o$kP-b`^^n-xy}
zkokrqKih3*VKDOCY|Zgv;3Z87&}@_Y)Q`4QeO-`D^48d5jT6b$>Eqmm6XLnTM)H2w
z+91xnzU~|+qZH};IqXnTL()Mj#{kMsZS%z6m}pGtypSKCR|~?H*q?FFO&9zOmt*o^
z+nc-4j=32M&$kGcFa`jQ(y;CCuY)AQkXbd`{7`hbxL@W$F*4rBU8xe^eO@;+sOW&Q
z68#(D+m<g%m)wThdr#w9jpjdZd_0YE25AHYI)IdssJD1bE`w=+eyGSGeL4@CK_{hC
zS*`>6yD7K~KXfcnpDA|GaXHLz0}PZc8QMZ_`m?QM1tCu<ZuwAv*m?=Wcrj+V3V!lG
zA8Zat0XMNnXeA%Up1feySp8?_cHxKvUd#_!JTp@|!2b>b@!I?2$aiqST0v{wP}GV8
z&8j4k1}9B|7o8%?0_V|L%n`Eb!25C&gB_BG>P=G?ea(nr@B|d_-LxYt?|}cp>r~LL
zvg@IJa-p{hP)=R>^26b}7UpH$3#uRB%E7xk;&b|+rvT$90IS;3xf?L0Vcp(q*%R<p
zx4P6Ams!bhBk=r_^WL(}sm<T=rSV7b1i+k>=cq{jAC5wr$_0M5;RZA?Y`)no>ZRb#
ze6itq*B)6i2rlRqLj!2~_9d0iE_{Th6yg644LB1-5D?7IRT`shJ8->&qC&c$SeUeo
z2&;d<na3HB#(P(9w+3M3NRZ)gcteuD09@CH1l*9%DsRdDZ+fX9*9@bhqesBrxfgxw
zKUScBT)O`){k%kl)zhS7fQv|d#`S}S2l}6xZ%_tP_$;Ri)x?CyH?MMWp}!Ud2Y#A7
zvmgYS&fmM_J4wb^&(PPasAziVf2z2_^V=@pfmltZ=LP0<w4x3adnR!KUybT?QT+A|
zJg%(1MC1e8K~0h%lN>2$RsisHTM@_)KszRon%CIf`Sa%w6tW7ygU)}Z+0NO876JXf
zWQmm5Ol6*%&15)3+^aW&0{;)tj%f3|*J9PHh5&E^0Mv6z18>|0Q*vxiZXX#fE6@Pw
zjg^&@D6x(9kc+{P3D{K2TmY_aVPPRZf0CBRc4_Aci6nL7%l)@P_Ebke{-gXttqa$o
z52~d~a}9;&Vf(OxU22LV-z`lQ41WWFa=RaYq#%6Gx3*&C@~MF9tstXY*;25QjcL@Y
zHXG~261Soi0~N7x)K#cxG$`3~8v}<bl4n>Disr?UtS&bhA|1G!u4^S|Nd5H-l+28u
zq6PEWuXnLp@@b&6rH3OGG&VK@s9>}Vs4VtIK}%~uV8IT}`nnws>s>PVhBII-MxW5P
zy{|Cz*PgAhoB<)A`(|G>n^uiMC!&{yZc;`oKqUCp5obkx<@(SAR6cBsXLC(5JT8t;
z48HUx{=(uIq<%8py#XcEYYqdkgqbSSk)zV_czOL_KjZI;b15jUK`;01Ue0|T<HzMQ
z0cqvr>zz_$y7YFn9EOM0->C}Ug>^pVc*Z_($_qbiE!sTsyvmxZ0ZRrgxli@58e<XI
z=QeV1jSmB)0vpnr@TZHtKAkqvt5sinoQ=qP(AcFOv~U=~!rLhtP8Wd+U>KOpJL%{w
zX|$fiA5A}bI6@+`1!x1%hs<Yoz|+Y<1iiPx|N0vV)yWB%i>@L6Q&EQ*_TTtzESTFs
zrl2h^&%bTMKz4P1q0V-mpEmj9LuY(oN0Z<R)PZx|O1)e_<-Mc^c`H|FZ>#cXbn_%B
zF)7$3d1P2IpNmsIP^0z~n*GkEB<9KifY*MRqnx17bfN$SBV6w*mO$@JTAyH9<+QV&
zZ*Meh=E=z9jU|lFLWQk|w}W3{wTyvE3b{<kOYPRr4QkTCeB1W}mB!@pU5zH}%>aVH
z`1NCU12=#OV?dH*KsQp~t)Ht1^l42EP06QA)QUur;tztDBZI$En?eCHLBMt91j_3c
za@;avk9|6(I<WA-mEiS=PEZ}Feu}isIZs;xv(+LopQm-60#o}jzJx;TH4?d<#5{kz
z<{bP-^Gd+z=y@sFes#P7ns&L6ar_3ba^D&D#oR&aK=L<p<h;VroCdfP*x}V`m>~o&
zyd`!Hzq(IMx~b+5WoX^`;P{3UHD2ATzl(fX0J`=ubY_nFL2G&e5OdoK#(Yb%^^m`S
z*{sEN#&0v|1Bb+Y$ZOrrJ+wI>Ak}jla$hV1m0(y!Vjq2ny~|d+_ocZZrbwfV0e=3F
z61497YNOE6(N^L=3b&XoBAlvhAK7&322z5!?Q;@E<=l7N$=t>v7$HIToIB~fLU%j%
ziQMoWo4-^w3}E=k!J7{PE6sB{2E7=T;6)*BV~zfUsO-E%P8^nERj5QKO`{$K9>}ZH
z13ps3x(esex>K}FPq^iaRbieRNj?JpUr!@An%3&p%F)elpN0+e<<szl&%Iw!e9iDN
zhWo0~-d+2}^g$zNMbEas4SE`6^apy9Fqrx6=w%QMNp}I&VRxS`h<A&`MKC6Xa5a;S
zIos#9BOw2<Mj7dZqbb334(tCbSU-c)Kr-pW?=sNqta<q3(GMgab0N@D?$mIN)^Zpw
zjP^24RXGdQ9{|vWiUxcI59&9XDPCb`9+=a|$a$}NeH!Wtq&}CD9A0d2yk^crr@uY>
z9jho$TJzu8{U||5sSlpO$;lJD(0O!bf}WrAL5ZxI>r%3Jv*WU$k(VrzR_m+5Q^RO!
zejCLy2Oui2R^jBldrha}n)j<57KId499MjmU}!r5R{Q+`l;C7r8BWkFI?)-)9PB@c
zWWvVsv#Nv8Qu>9uex-|@Ldv+*i;eT8T5GaDIv5nfPC!M`1_r^-<JQ;$qG^c*DUhpn
zv4HXqw6O&vY2Q2S0dzzAgz>LLcAZ^-Z(s?Po!3}Uww`lH!Mkv&Ye=Nx>>W9Lg7^iY
z!xeiDSwF~rG*mz`#ckL;aU&$irAldA8fP^eW$i|>Oz{3};=V2%k1Fu|0)(^T$8ZZh
z=0wYR(90<ppr6ye_m=zsW{WNkhO4NcF(UbUYcGTFsIh^TjGutE-zn%uXhDW^d|oZo
zzsXkZ(!-1<4>XAubf5A0h(MKM<c1ixi}da-c5sxm8LSze;m!`0s0_T2=iU%F`QlxZ
zDcE5MpKKbzBMv%kwSml;3c^}=6In^<$aEZaGP1a8+qc)XYtqIi=|(%wBi7AXLz;QX
zs{3{kg6l!$3D&QSg@)X`TSP4_-AFH++^+kc>z^9+n^z!|l}aPvttP6?>%%|cKJ>kd
zk1~Dwi2v5aje;4*jeEr3NRZ&^n|}|oG2jI7t5U3f<D~8Cq@#3mCOJCJ0~OqtHG22E
z8tO#0raMpR@cP3$eh{-nRaaTQL>&Gy*lbVbeG25Q1URNa1GP;F>~=qi4JQ8J9hUId
zFj(b8Qe5uyc=bQDYn}~O8V@wvIHIVNRcZ^a&<tSub3A{eR|#r@2uIaAvhQH9gkn7>
z8vQ#B<sWghU?*w={7jwy*WD0_FUYL#oAiIA_;;tlpub1Z*}lXx5e}(;ZaGb;S;PAV
zwPlw@t7euXwX4ySK|0~1{{O??TSsNtHE*Esh_py|Nh{qF5=to`Aky6>-64W>3nHB=
zAl;pUAl=>FjdY#;fbXl{_x;ZQ=Z~|Ni}i@N_p@X6o|$WAt_gaL>h&382*Yn0wC?i#
z*5o%i$uE=Tog~A3r$hQlfAsm&OD3ce`HBymKDjkvhz6ng5v*cT$V3nA#;biv3&+Y<
zu;fDnF1LZcq!VE*i%r=^h2YPc+-0#>D@_^$3ZF!bCgW)X=a$6^XmlAVjvi&r%oJNQ
zi%41Cr2AFweDgDL8!9sr!wRBp<Zs){vj*V2-F&Y&=^!`~(2Q<T<&*aBebJ7z_coQs
zV}zPmK1PXk^Q;gDk)pm0Xzd0iX-pJ?AM{BFIvUwK+rI$vasXIQZ+$;DTaQkVg~>R3
z5KGbFc@$)<J($_0Ww7^1tG<1LR(P~H*TCmEX6+qFw)^tqgDFiz65#)7C4Jh-bk!!~
z{&a5g2+iQ9Mtt4IluF|a#42{!=Avqw(tgcf{n!CL#CR6a8&F_3EMqOFDo=7Ad`5~g
zG^R63rkqN6KF#*+Nn)H($VBAYpjtSwA>PCU+&)HOjl321qMsV~0XjS4?3*La;rC(~
zCpV@JFd6xPT~|Y?;6))T2WNE=Wrd~9r8!R)4`ar-%H^IFv(U~|O{4eWdq$!Ip=VAV
z6{e;N|A*nbg#FKe(^4<RZ9l^Lf@ab<y2{w(7rxIk*vW(#Vc7@9eGPTJthWLD<4@24
zeq%6oP`oX(S~1PnCMI<{L;qP4fO{)9_v0@>VxAAywJIt{v^6m`Yrx2#fcBR#5HmA5
zd~)w+u817Un^VGw=+wdYrm;&^C&^X;n(A!)oa$a0v{Pk7>`_Fhf3i`V+4ekrlE7PD
z&vr%3!wmrkn-4$B1|3ZK3V<mawM1D{|0|8TQZNDD9F5Cy;Otsn4b&>!x<HFkDZDFj
zS#-e2g@dHKXJ@_O8OD6H`wERO|1G7KT;(uTpwHdc*Smg#6?QsJnihqs`%tPiK!20+
zlg%!)eAuxl6<;;9GzIa?TaeFSZCLefc{oMbE6xnz9fSMqYsPW)Q-%WqjAa9r(V)t1
zN5Qh0_5`ajF;;nt3M1=&-%_c0)ld{|Cg=EFX#Rj?e`NKH#<O_@2Q7Mf`@O5i;RnU4
znw>-@3XM<N#s+oo=sRw)9Zw)Eb(@<}p=O0~ba-pM<JkQCLs#2v{joC2I9`64Nl$p-
z?+r%xyntRM%rd1kK-X)p*JN@fwX{Tpbd+$jj#3w=Q1FV?7K}!SGEaCkdZ>vYGO1%f
zWJCQlU%mO2gcn3@9R=oa$;cZ~m!8Z10^D_T3g}MT3P+uwVOsluv9?G>wm?sh<a-bE
zMQXqNMxU#4;$uBmaUK-yWCBU~0-p&eDF>+YrH}NPgLwukg`<i7b=&%d0FiX8xyXx&
z_Y>-DC@!FpE~#aw{@S3Ya_-ZFy|JqM2_v|5jJEnOnRjFv+R1hAgqj^|P_7ZAXzlaZ
zsoPwORjj?b@v~CU;jkeZh*_rcaF0A2K$Q!kAk(RYlq)-RjP{$mPs^9AQ($7R0^36>
z=mO45bKi!Or3WI}8Vt>}>elOwNWmKtseN{M_>7_C{PJmr?l@8*1FkfIqaMXNFcvY6
z_`VCjT?pa!)j*dDiXZ>-zS3vWA&eE}?!w2CeGUoA;BAobE6N(z5ed&jC!|GZp6x!W
z<EQdzH`v=2b}}oiAl#hvTFR@UPWpcF;4m=Q+c)5gsjwU72DOUkfP>)UO!u|zzDD)v
zru(u{^4noXBi2VU<uTesI@8w5tWPrmAKegc_E+2jbjJ>a%)8pv=21P`eJwhRWlL%&
zC26PH=)y2h2HC<GCJ);`)qfiNCxstb7^J*El~srbs_~SzfpGBDl0%0PGcOoElz}8T
zZ1Cwj8QwLj72$>~1PNEe7$K`72UgARfOk*-WOr_kQ8ELk!MJfiM(_!?Q>#)?@KO|s
zI;Q*+lm4%=m!F;Lk4p1(>N&gLyqY(B7#8z$ArO+x=g6ec2($V6WB+nzvf#{tywcXb
zS|*ZVUR61kFPK@Gj7dx4OQ8ydJ){=(bYyK`AyG0s0}3<wIqJ}pklZmvB<+jqil8kC
z`wlfP#-uHu_c-i7nUg>G+pSo%4oobP_ywrB{0uN>(wde==h+#@r?nmD#-8@SaZI7U
zDIV}toWFk)6G?#}6)ec*h~aR%>fWVw)k8M{JU!ORq*~d|b5?t->;o35R*g$Jjr-vo
zX!=ou$j$6`W%*Jyk+Wr!5KZG{+xPpNUc6=0O-ElyfO4(yRF{cRBo%E4A%qfgw#UtH
z1BM`3StvydKQi9)P18r4tehdom@}LRuiStsq&W)`=zru&r%#nC<X>9E2$lQ2B>`T?
z<8OUOn#;|2S{$(}nj8K_hY>Yz5q((CW|XGWQOkQ9G)FOGK$40?TaEhsgP%&*fVI%c
ztjryUmkce*BmmI%3>YDvGq(7{8<OYDZplPdbAXCD3CcA!K7@%0rGF5IB50|=rV40+
zNfqQ_DT4h`=Vw<^jCR}iV336^Zu(^J2Uf*0dc$K?kc0cST9Or)J}?q=W>xrxL%v*A
z8L{{UN97K|-on;GqrrRnzRFbIBHZ36WdjrSu2vS5M`9Je<2b1jvL)Q3>N^!=D)T{H
zxiHZn;WEF5#U?ZX)Ufv0_S5XTVJ1m`E1qh87ZgF;wfw3^n8jnY3N(U7s$GGMjtqyE
z1aR|VMuu_|<+kcj?**L&tJpYEesEZ}`Z~6Y`K~U1oW%K+PT_L@<Hcup=nVJchYDV0
zvuKJfV)@p><ny31Sdxu?eH83g#%8jBSX1?{05C)LVOD~^j^9=^kvBLLK{Mxn$PSJJ
z_gt!gNs=kn(gA?0QZn~~4E+7Ys%@Nfh%*@T3<s+nE%CA+qsIQ|$XR%OC>fvXh<#s2
zb<1zR29y@m3YSw!p_6pIl&n8#W*$Xr|M@<7_{j$yo&J-L@=szF;pbNJky?c}W5pvm
zJ|<v%qw-+U{ekF~F|DKuD+T+ez_5w^rS{I$r!pM!$v8@eNnJuM4yUcz+Gjyaly^^9
zym|QV+6nMC;i1o|-D#|+<nkMmYxIUW;X|x$F43VVfm&KZQE(?1uF$4mGD*Ztn|Q<2
z$<>j2WG%pR2ge(Uiu}G6gsjRJlox(bhtOr0%)|B2mMhZ|WKc6ne*~Iy{j1c-X&SA6
zB-%5F@b~^g_3_g0N0*^J3D;6+PFE2FmQdtHRUd=w3XEiifu&Os1`u>V#W>hqdgV)*
zfb(X8FV%?vkJQpIyC}7=9P4?C&0bv58_p-bsg(@p-r|EO#V59_Ro+A};m0&9jh2f7
z&qg;Qgf7!b9){hy16tQR?e1Gp<TTP%;N)eHOf!n`st*RHVytyhK6~k;#Sgg{nxsfb
zl6pD@yW#H2yo_Wgaq?hs3}bQI(OF&y&zE|090k+_J%An7D8{p55O4(iTc?r8^i8xO
zZkiW`=`cI3zmlj$GD;Asq5wpuOICYR3;GzsZrF)f>mb2-;R%;Rh-mQuO|2A@S-8Wy
z*w-D0<_@K|s$|qXOBHnd2O;A>xcyBHc=Nd58^ti^O9-P;ErB`^X<}x~KI9K=4lke{
z@P>^FnofVJ*r5ae_j1tI_*8Y1XH_S@XoJViQcRS6AjZQy$Z8qaOkghOXirs{*|gUz
z9Fe5245oC-{-B2C*V7&zW;Fb0GaCjfHe$3)fpvfx6ls^rj2^+qOMXp^AaOS6RoB>e
z&iww~C=$WvE@DA2JC;XnplA&i+pH=HN&t;NL%HEn>Q8sMIaJeh2XXIhkTy6MLjM2~
zi?mzZAc-{{vuoScZ}*efR!TXEc)u-GDm%*gJ`pq-IHeJq<vx06$m$09djhK%rOWhf
zrpe52T%U&;j;bmf<YeZoY^K&Ic7944*@rvBBGbl4>SUx+fv-;<k&YMAFG9tX)VJnN
zNDCHt2NYssX=JQ{%Xa0;^t<cJq&9R5fHN$&gGjIY7eo1Kp?Zv%E(;;zia6`XuJ*by
zChVJ$>lLiI7;2vhuwjB%O%<=(bB>zcMo@Gprn*04l;#86b;366Jh%r8R~LY!Q&OSc
z5NAEn@t%lEMkog-g7kEj!WVfp#JgEfFqoftluR`vb+U~w+ZZ8&tZ?)q9?X-F7dq@2
zR${EAm7VM@wUpE%<czR}&v!A3KESz4T-xLK1RRq8G?k-CkO?n)2nDyOyn(blB`xuN
z2+oZ$#A(q#-X6{k<HuzOHBw`eoIIX}UAWJaiC3M7a-mjr#@|A$XP_;XnaFchhI@Gd
z*jE!ojQLA~QPCTD%8N;)Ryd)7PUZ(rv2$#u+3AVoUb;<+P18`!p7LiWxpODs0R5KO
z-~_RsRRto>^DYK*^kxV;VLQ>fq<kSOQQ<`|l|{BF1)B256%%!h`M<H@*17pjEc&`K
z#GW1U^!VG7A}F9wFf55m(6WvC88T9a^#vLmR{xNw+rw%O*@%zEiz47T2$|8;@z#)s
zw-2O`M|crdve2Phx{B4Jox}%IOF3T!O6NtYzw%nRO*1HGj6xYYFefeAlS7rs30K@s
z3LkhRKrryCN`1q7i^D`J9w-KhRhhq_@`JIgb7Fo5CqPCd@L9mBf6=Nf%=xjxcj%#{
z_#g$;ZkyZo4Jh#*5j~eMOH1VLi=nBnh)QLn_Qd|g6ls_JSh(k=(W~XMEgu3}^$EU~
zyl7EtW%HCmULo}>E%0nkWB3(qEXKjYTAtea)e2-J1k{MeQQ#FK2P`p?w~a2fE@!IJ
z%;Ordz4|b#+3^7V4CKi_G?BMn9DwLP?ng1R7R5y>USBoUvK+J73_dy<wW$jiyoqN6
zI=0Ejj)n74MwH+D&(iqNUQj4L;|2_p>f_bH1$>g?y27<E#r|`%(MiUvLf9*e`S>;b
zWK^Us_~Tth0nQ!Uv@06$gfWM04gNvX6mqq^_YqIJG95K-y>)gqI|R#<zIY?<s(PC&
zg2avcbd7ggo^)x{^7gHWz=<><anxFXei~2%jM_@J$4l&(B=Ic&-IT|L!`I=W2ObR8
zrM{zjZFDobw57Z*@b?JXXxY`BW1eUr+$Y^Mh-qpo6LXfUFKOF<nOYu8oKW@Hq)!gi
z!adQ_*LaSp*^$&@Ck@N)s}{K!&xD+;y(xS73I=6ruY>w!DxgE?e@*6kpp23bUYG9v
zT<ta2t9ym!FT$MbTe%jE$9D$0oMU6kH|L^3m|By>Yj4|ShibRQb&;h#wlUqkQk0KQ
zin()gtre})o&Fi5kYo=@O~*Gj6}Mc-6n5_G7AG=Ut^^JPDlP2+4dk#x8{<ebVx{Ao
zCt01sUUk&&-L@t-hF}J3>}dtwHn@}AX7A7vxK^3V#Hg~bYyeord<tw+Z+_!@@^FDK
zX8kXH$;x(gGBw;mC8UoT-q&UNj9xfd>64k=NeVm-A+C{!TDU6iZQB$Y=sa*Z)$WvJ
zdrdF7ew?ux;T(T)WsWy1P&i$csw-fV#^!ro&@4B8_;HFK*$PxOBCb&7y~c~mOr)4b
ztVrZA!QAWbJQr1{ihEkjDt5v`AzyFT-Vkm(jCPjH)1PzV0}*#f=d$3T<3P2#l%ioH
zn!;BZ3a}OqD^2l#b;ML7t?SDQzrv-6@p?0E0C|_`&iAnU1gt&P!B#$|mZ{Bfb=F~f
z=`6&nD01sK1G;dHpmsoK!+zmh^oxtLjBGd_oX0%UK9d)%ZaF@UeCetBo{4b3-;R8Z
zMNCQ}fKaQN2vAP>IaW5%=pQ92Lqry^-U%1HmGF=W6<_l^h2kw#u|fkgCUxAqPvd4V
z5}cVkzDE=BdHHgzl)OXvi270w&(nssp+^A0I>s$zndnZye}rqVk2bHnoP+UD<2_(B
ztDU#rbD}hg;pUuL9qo_lyv**Od2*QUKQ;rRweL=v$o9?JyOyIrxof4R1+G(;REW+A
zYczVuiC>5c{hAlCx77ctBEUY@OCvS1kXEc7h;-*fstiAzsF1cpl7{QR<axD_brhpM
zldt!(QQ-YYFmf43+#KdO4kn-<bU52+?04!8b%P|slXY0<Hp=vHmPy|Jbgg|Z?|{;a
zuU?S*jE@paW~hY|xMuD#Ae0h^zDG1g7O&aR(db7_HupoqLZrvU2nm1O*3>D{yc@AL
z<Az!Aq33}mECsGF^`|^1h~U*;n0fHb*>E`<YLs+0C6U>|cF%$q+v`DS#eX|_gBBUQ
z?#JLw`n<%`>dqO?I#sLXtz7<wPkR-d$Qb^Vo(3DyPq>bY6AkB$btB$971jUZF5Jk`
z@y1Zq@S$Ez>4a+M*stkvu39&Eg*Aim2xE&^W~T83gUmkc69MFlh!gs$`MYekaia^U
zb3X?~Yq^hSi<})B;xQEcLPr~j?uAMi`bsA35)&Y=Mj?tIvc!9Y{BW|=J-wg_=w$Yf
z97zMX8XJ-^+JAE>0G!^*(@K%w#O9HyH(@Y%N&x8f6|c|Zzhj~|5kxvpSjdjK1MiAe
zZr!Viv@3ArbVY=iTXcW1=m#Rc#)nOZJzkys;+nBN;b@^HSMRodVM1oEtf-?mcw-)b
zYIZRwM)0fDc<Sj!UsNo9uO3YFWz}(c=YubP1;<2crW0w<z$yj$19Dhm*w2z+QQa_C
z2XgOs*=KDH=IWJuxsbYnT=SLu*yJ9xL6B?;4F!r~Y43Qve9LP-soFya(vUG5!khH1
zDwcJJ8nP;hmdhr3EhdGlM;?T|?t?Bs1T;>3x@NXXAxj52Q0h6?Kc`hIw~Q?}ygDM8
zfIlSVI7+e3iM2a>V02L*{Z8(i<`Af+gnm&Py3p~<ctP{>oT*arQdbv*U!z-_rL{}u
zj<t8q9IAcx?lT*UPtjy{I&U`6++(0tf0&FC@(gYt)bKyPk3IxVhxTsBF(@A2+ZkB+
zau!y#UAWSEN9<_5KYN2zgWF>2WR2wVpI~w_<u1?KL>@_%<7Pv;be8nCd){guN=Miv
zwQ|*Sr2Mg5?}v2v5&~cH{H-go;~VDfgU}m(sg7j&!C4iqWeeUE;9)@!mBMUWoQdRe
zjrI6zV^?6*aPp1s^`|>~J*k&+YLx;jeF23i1?5YjSk(({@g}s6$*}_V!#o?PX$NlC
zmoV0RYa!3!zt`01cpn(e^*)TDu=T*GdTk`lpwvi3<t1P6@EKf$B$#Yvk0vFaXCub9
zjo0NS6Y1uB<<59H9-?teDbXYE7Gq!BVq^X=aFcsP;dKOdmhcu5x+v~PNDaobvheaF
zi`Kqkc9J*IVqjjbe;le1NzsSvtpe$X74Bx23$|n{A?~2OpYs0WegDhQhLp68Xf6(}
z$WAu<8!i+IbU{EJ@no5Y?cQUfk5A&p7xNMsiQ~A^JZ<5#11V&OL7b=KY_H7;dM1-J
zTuSmy!>~@;<&-EKiHL|Ml*)hho-rPV)n6(TGe${6C6XLMO~K;aLKUQw<g_Rf<m~Vy
zfjLNOFRluWlf^awT3D`C`;7#wqRj(Y4JP0Amp31G&pwZwK0WC34I?BZ%*xJ^t5<V;
zlUTm)^_<<keEB2i5*spLQ-Ho-))=6JpjhirGPK(KV1loUBG&}#o|GdM`m|m2jOJh*
zkev&p);q-4MpP)GDHl*ke79`GLiB8V%HC43R<+XF;50-S_ZB_Jj)1WlbgN(X?NS=G
zh5y)v^G5f)I%8UYpNJhBB@s5xB0y*f;{!s)ep03w72q!L_|<%$;gBeL<pJM~9nS^F
z-#wO4SO!<JHurR*Rdv8loVl#Fz||LJDt{d00{9~VU^j*zG4{p`xm}+Cz-<!kT-kZf
zd8pPI9uJ>x_Ho8o`{R%165+SdKxZJZiZffYwf-bPNKnAS(Ka1%CcizO(Jj*UqON*&
zM-M(AVpO(sFN+yG2l6X6=_3E*3SxkrthWOsDoiL7235mv?=sN9fWVyS3xnr?xSAHM
zqY$tg?|NsagUjhwZo$u|kmajV`wV_uUIy6`4#E?8PJyVGIEWe?`|A>LFMz;Slw91B
zVB88Ol}|&)`{IY|F-<=T(j;xT`XtFqcsv=Is;HvA$%Bpki~$0igr@d@S>{GGz|S`7
z*(*)Q>lRO+08KRv!sG(Qrog6W;rA$HWuXIV&Tjd8KmwH7K`$%uuQtU3UeUO`<z(RT
zl>9|Jn2U%V23BcLIh*#cRbue8I<m|mk6Goc=WuzfSk?x}Q9wN5TbpZ;sqCLg-prHh
zd?bB5BKcr*CX|!J?~nkuY;!GE(rDXwbS`>~b`mMrIjOs@>ILvpBJsc$?z?CfDZ&Mc
zH`F0u=hsKM?B`1};tamM`EpOd%0E&o2yW@_t{-`>c25>Qun!DtRJo58-IE-cZfE-#
z+kmJ|+^7^n_`v`N2V{@@Rql!%0HY<Zi-TmS6(7jqWKVgsP#=^aIu{3@?NKJCk0$7+
zr;GF?N4tN<EBZ#~zVQ3Zt@!R-l@l2UL`+(J!76Y?z7~UvkVtu_QBQ@Yrgs}iY2}7h
zQyshGy#JXcIhor4)K#1o4N4VVevr^(S##segL2{MiUN|4=5=d8BIAz%JA+r4mGw)p
z(DWOl%qtgpeb3vgoF0imd0=th-1WkizS>-4&*}~pdxibsP35)}(0$QuUJ<brvd9pn
zkT{9*kdU-hSEb~<+BA2`Bh<k{=sT#qgueBEWYrA;87MCR=LFK*UBWU%{pZ^A;aIe_
ztPeXHotX_mM1Oy}i10SK2=K+=k-E$I9g!S;8`IlbE+xxxNq$}fDnrZ(!n>qMd%s+l
zoNn#2Nmeqp+!XN7fq~$K=Bna?0)8R#Uyd@h0XTfN(?y>dv13>aHCM|xK3CmJU>f!8
zI41jk8l$V@mburu{6vOKxd70t@f=_D^UWlKlxm?_@z5ifZIxL70-1mb=AfCHIVf6x
z*?-$03qOCZ6#luPY!%@3Acs7sEO0(wUJJ@#Utb~;P%YCLOLE<GUQZc7Z@P3veQcNf
zY$Y!yo`ak)AKXg+rrirYMXG>*xq8C+=2m{xkxmFZIC@*kzr~lCyR0YDPJQ@9q?G4&
z&~2Hpd#s?KfN+FAiVK?{PC3O7O&kJbLSWx^Q(LM22tT@K4&tC?u2#Ll6VVOc5d#Hb
zAMj*^G|(|)Jz7xCuiv+WCj_g2#DlULcBQa~<Q|`~xlvPhS&51<<%DkhIuQ58aF3@c
zH#xsT)L1da4nv!z*(-S(Ph7XMo`%^PYve!MaOv-$zJq{Q#SDrupsOk?1~;x$x-*@5
zzAmF!-DRJ+?qaw8eJR2|=!rZM^m~m%!Ft;2M}o(92|V8=?%812<sXY{O(${`=*itc
zr$A{Qg6v|+*o_WeW#+dh^DX8?a`h|st5d3~9)7i+s}ePzYnl&wJz~*duJf&mLKYXQ
zndVvBBrxa*V2SIwyPPUtPt9;&Yg|q7ua7pZyL@VgKfKu_ie52@v1C-tQ?;V9`ZQa!
zg0i>f$1m-3968fx@UON;E5D>)Zs!-}GdLOajr&w`W~+ip1yH2$Gz7Rz66PS5#Cc@S
zWGRkx82NyJlpESJb8t(8N;V{Ku!v&19ifc%?n_Doc(qq;WirO!2Y0fhvy)t}$Bd@m
z@s@Kb0PRd}0=EeJavW>KNi+oqZaeWh?~}zF(KLQMQP%-J*3lU<`!`APing~BD*B+I
zZhK&PXFD^5sK(NA^lGqLW-njurv*rLt1}(=xrv$(Ej()R&Rl8DnN=(V95C!q5B>%p
zz3eE_lp3VT<2hGvvS>Hd^x9ZVDHeyekZ{=B7XvoRK1pmlQoQ%m1qMyP`q@u&H%Bt|
z#Ra9iO%e*w(uKcRu7t2)hf{D7ZzYtCdKMY${3jYQQMueGva<Y&^pwGLMMW&FD-g1M
zD7RG@%TOfZYiw8t{=gxpzo@DFd0??>2bN`mG7@zzZ21`@6~JIlp{WAQ5vJmBk3w!h
za?fTcNFGiA9VpmYeq=(k=YD8&5fg$Avlh|$&4TgxOqB|NsYWD42<$rwoMIOc)!)XE
z2cnx;gUC*XPD^3X`>R2gX2Ewyt&y0XfzWKp@Gu3hzj(!*Fitp-T^>p5H2*{jJ|9u9
z8(8L+h8YIhS#}S+nEndG%;R>oZieClVRA92v66~vWINp0)@l}vzVf0#5lLx)4gyuV
z>vstLW+<B!+Mh>`o;|&PzBut}&iYR0CH<jV7DB4KXi5xtJm|R^RJ;Ekvycr^#VRK)
z%ll&QY#ry_;_7!F&$T&hFeEU6vY~on9&*dCb)%YJylAM&dF(0epvh^fo5@k2@*Y~s
z^9w7rTQp@9`eteM%K#x8M7wVm*N%Q6k6m^Ih7=Uq2uj5O%MDo253vnDC~058jJ266
zQ-RWz(Kl9y8-=~Gj3dzW9b|H_O0f6ko&k<AO#G1*53KWFwR^jL=Z@Qi@>mAHJ%>Id
zC-PrkxoO4%duhaj3=yYv?r8kKlwQoib+5aUQ>x3>yYHo+A(LhK0&4>dqn8lkO%^{e
z1b|=hpf8?C<y?nBg{_v|uj+H1EgsQBK0yh*Fq1yFkV9ChSW5DY>hq>pHrtxXT6+0o
zZw&}pRY(~G_oL^#-CteH2v^&g+&CQA1cx1wdIy&;lloMHWb<HP*rc9|2*3X7-c}gf
zkS3Zs4a|wa=it>bB}37ORQ?SrZxPtWr6<Z|)ap2dn}%g?&5a_OS$gfc;8M=QN%jPL
zqA^?%)d7+;j0roxU9Kky=5Id%wfzkn!ug2}9XKi?<YI6xj+=J+J8xN6D-D9mI5&gC
z4cNdD0y{?j5)M7B4D%Cnb1?jJGPBH(gC0gzPO;BIbb5`7s6aVMjw&FygOc8*-+yTs
zB$R`cFm~K<q@VzDDP<T{JW^-KoZsY!CSJLA$M5865t&sRB;4xaJ|tyyHpnO^3ym@j
zQb%XkH`%jo)qPXKP_4NCGtIc*yzk`lOs6+zh(6kKTI93V$dhV&5c53R($i0qf`(~;
zg?i6Z_Rbe4=@eBOqsg+MVMdOvxR5r$o?@aoBYPIH7Nl)35ZMmI_BAOG&34yx!f?dM
z7?^4@``j%L44G}4>xk9Y@@l&AgSEGVtU)5TlirA<A2nc6jK`$$#4Hm|@p~RaCAO_<
zSigOV@N3ob^N7u3*G_g59(R%;Oo|Ws!0>zSenwc0i0$pM<zAwDkj|}?o8lFhwLWf|
zTdssYX!;tuvX6p=vQWilKEIK^Q;pfpZ>nC04QydYLO&qP8|%RJ6lw;ZS>B0w4s4*1
z91`lJE%U^saq>%zI#xTXx0D`T?@{1U35U#P+ID)z`bL#s#}CHdj#&l6Dm91<AEQGM
zGu_*q*vaL&lXtNJlX5Z3FVuIc`^7i~4B|%Muy}*_zdS(@YQpp6$3jf3rQLKD8a*o@
ztv&f!)r-Pyfq3xgpF9>sSjSV<(PDZXdM<PKuTH;SG0o6nXn+gD?S&BJL>}`@3rGqX
zobt-4;B?$Hb<D4c%Jk(p;b$i2;XVgZZ?d#%4QvI@<bEd+2as#Oa8jNsILo?s;$+^L
znt_*V7Ax}N<LHUbr6x&r`9#fx;G1&0n=k*@8EC!lsifqN%{7=?=7lsHo2^t+YN+5O
zY4Y0?Fb;13R9b*osT(xcahVjpqsnlxfZ+bd00fLqa8a_MN)Cc#Y!LTf%yjL(4Ilzr
z_GYZH@(n{&DmdG$GysKI@S_|MNufYId9SolW}fR0Yl03v_T-Re$^xsoMv$u!cJ=rp
zljhI$=inND3a|yGRj;7}K$#A=UTzt`+evw$R#GUyCDw-iTj`MhPMNMs{XbHs|2R9I
z@3CSy&4#lSk{L;b;}YH<XQ4rb1<DaADyVty<sZwx{bR#&SG<<nUbFw!;s>&}L4b02
zAnMBi{pG6o=+?iy88U?|6$G$AK+Lp6c`5xaB+{9nw*<K>5Y(~aSI>VhAan?xy6DQ4
zHcMJp`_Uy&!h5Dl$|G;y!wAwnEHJ{6|J7081NJAF4Gm5%E^|si><hCq+P~;WuXn0(
zn+r|^eYfl@g1_HQf#C!~1h~waQbt2VLkmB{jy0cuY@&92xNv%d41nBjDvx5Lw20e<
zzWwP#T>x0V9?GXHlTnI?0?xLKWAQlR>aVEOmr*yN+7Hy=ATtPO#@xvMtx6L5j^qX^
z)(#J)&s!V;X<5ZWXwWZlv{U_8z7e3H`6eM77i?L%zr<bW9rw?lKoM<_+|09@;#Fn0
zX467ov|0F*G+eXo0f>*L>M!QqtXqmGgp)B!7P?ycnE0wAW=G=+djxz(KYrq?P~2LO
z<dDw&M3AiM+j4)}UY{;S4LX+(p1`glm<0$ORa`@=eX?|Q;2r;pF)Rd{B2YE{&k#gX
z6u>H|`AGVRk_*G3ZA?=Ne;N9HtKU9^35Atl@2fn+_Dnz|28P_{&}^Hmq?s3Z_le!w
z8or;J%R@7a|J^F85Fk4JNfj;hkX-WJOSzw~stR#9_tghW%Lgr!+Ol~5?2!Z&SW6KB
zhkL4UMKo3iO!pG(_xSNRwlq|U_W7weZ#Ca<k>UkAoTitbB$`5uh>m#K@Nfm)Qyo(;
z;Cnh?sC>S&esjnDo)!of8WVj*c1<A+g<gu{<UJbIRfw*Xsep~r*;qs7`OJI%mz=ly
z{pR)0q13B`wE5OSLiE79urPRn^T+0gu6zZ$ETWxylK1AHgL8BLgTK<zfl0idS6KL4
zjBY<$KLF_r75qqJf8iGty^o-2|2?4j+x}7qpyI0srLt+m8sJ6%9C%Qw>Lk#VP(h)t
zQqxp;39KrpRp4)U?%Yq9@n?-+<9p)JD|ROE96)pEfAxtwZjNFQknk+pMzci*PY&Gz
zumFENs5Be=GcMU9IG10meT91BzJ(yKdu<>?yye;7Vk$uc=Atj)81h$*OnZ`$9~#Na
z$8&H*E#RtC)zaE|Mj;)l0c6`<5;!QHRM2aEe_&+v5A*;mX;d<S8qiQLSO;Xn_Xu9s
z-1p_+QMZX^OUj4hlZ{Yt^x{s++#eh8CPS1Sx1tEP1|+o#V9J=C(i?pS55oWfJ!JiR
z;py}sZ_kgOfVNHjXdZ6c>9s%|Lr(`7$Fl9nx4*_=gP7nnAHd1kH}wRx^Rt1^3<oQ^
z=mjKHfG+FaA4x>_?8ktze1ot#$yze;K4mQQ)Jgz;iCOP=FdS}wp8N&}0kK}BB_;r3
z>u3{tfyros$*kaH5dNub0a9@n7Lo+bQQC>MGnFlwQ2>4#c_Eky*7+)@)nBipgLom_
z-yX>)dp0js^|>YeJ9K~nLUyGd{G8c_f6giN22F-~KTKU+8r9>3iM0+m0jc)2kI7U=
z2G|gSNlWe4`u7%o{tvYMkDNk<80wK83ApA@l;L=3PEdPLM#Z9*6;G|Z^j`H0<(nwg
zFGqOVK*Wuqsc9*RfHDsb2+vlQ1Bu7%HCv<3aMhlHex=kcpLMGg%#`cQ#W5gd7I;Dz
zoZ-02B(u{ilUVDwwSW04qPken9%X?nX)3fzx=yznZ>PWERb#Bl1}Mb{6jIRBTL5hc
z0coQOt%vQohPb^w=e4b`Ph!W0ne}JVRCszwCC02#@)w<vLfe&>R~aPNW3(7DIx6Xg
zD@Vbvfl~;8Vu@QS=US&(^2afgU6_d9`=wtvMRTPivndlkmb80B16h*vunfSroH5~<
zI9BT>2K5y)g?b1^xQGB)n-OQ|5KWPWyKwZrd|x0bl3#lfxD}tz##t>L_Ttlx#$ts-
z&s(lB_>q}~V;-EreLy_x-`h2*ty^K5Lh%6+a>W?l_X37?KHTgBMXxI4B5rmT4-Nq-
zi_#;!j(E@RdK|`4MZ?{&{Alf44fO0%1;Wf9r4ukud<bx8*&q^o{0<i_@h&!CfmZzH
zP3=|OkWN7Xj_BqDgO(Wqk`ZyeLli>ACRr{#)aTQF(ci;iRyERdx=vTWRq;KF4zKtC
zMfm3G6#~V6o`m6bx&5`7LKGnDBKq}=jj0Co_J||_biTT_K@jC2?N3u5KYge8zzspv
zFbnd&Y%d_jYH;45nYs5VbL_Mw<p?TlDNhl<uJ^Zc%qIL?>l<9YSH>P2MONi+yZsag
zEJ=H)$1+Ux6y-<o8Y2kJ+a@s$5LmUAjLsahZlZ&_vmz-aa98#%9c8bFy1s;##u$w>
zopN^8)=djcFYko$a@E&<;{<0F6SKAd&SXh<G1|=q;@>*eYVf8_WHVU3W%vyN&5c@{
zg_F9Z5V_%%R%4EehU=nuYl8ffc`97UX+T4hP>B-Arhy3XO@c|Iq;Nc+VhBAsllvxs
z+?zKc^%<rs`_|C#gkTDV#_iy7Gt>c=>M0`i6wST{tR!de(A8~E`EKF=n`io8eFk8h
z-N*X2E#sKI>3%3r-VDd3^SKmm`Ao5^ueuM_fzuC#@qR7}x1#<z)Dm#8O7)!`oHO~B
z9<LMj{sO7jG-{!n0!{QWIn8$b>%ZUvkowM%LS|r&dk7~HLpY$qg<{m&QL7--APY6}
zMd9<dp(}j*hrAL>9-Te&O8WaDPJuF3P+J3k*ejKY$*}igOdyH?93+a}b;W-k2WXaf
z!(@FKLjKRE(Qsb*9!noR0W=+fkor<Ir4`&uL8$6ef7Cb>WIG>evDB^bW_WYN?Af~v
zSN4C9MT5EA{-H|rICq`8BtoG0mlpalKlT_Xx}=ts?;Reh_@lf0L6b_*1+olewYdRh
zWWvn_?TiArah?(KEXU}zgn_z3GfnNS@zVOM!+dC*q}&pkvE$;7gjKd088nBfs;d#d
zS~^r<h4{s<UNFn#MFCWb{+9@yj@%R4+eoX9-w!RX_GnzQR)Dq;)TPxzqr@Ec4X_9o
zmowLw&^zDc2+9J=ss|ryZ*LDso#+*FoPb)*#7BT72AtEV1trlmE_;%C4_qorTE2mO
z`-@TKw|<rNgi8Xt2GHd!vJ`+0&U6$WphD2y%n!cWaVP0nJfotCu`#d=`TB8**z_f`
z7GJ6rF~;5?>HVPrb7dT(sa2PU&(M;u_Vz~vHK%(=N2AhjpmYmKuNxv{BOnCU?z}~S
zQT<j1QW}xa(=IyMdq&BBh7dWnKJfbhZNd$TH5Vw8xh<2@w4COA3_7BmuaIaHtbl!a
zV&DrW*9)y!9EV`hNYTBADa*T`yYam7hn1>cQ4jGgfUz_)Q_p4q;D=3mL%KGp*)ev-
zhseBlD5fy~!aM#^D|7^&mTx!Iev-Pr37Sd<eaTHaCP4%9i8AvA+~Rl8YC^SG&{M}8
za9(9DS!38bU4d45J8LntjVCLWW=iE#<HcvB5|k+GBP*hpzMqxkdd=VQ0$!teDPVSX
z%ZQi#E0jMHp`O!nPjYhnr_MfT`g$%?lCt5tCg_xVeG+yZqh>~6nwkfdnhZu3&=08O
z)VZ@H?bDO1$}MDoz4o|kRO`%r42mCyH#^s%8FQBid~d-gQ%Vl8hI(Kt8I%+M9<TYA
z+Glx`2=qvjS7FyD_ie9_)&^G2HuA5hkL$`ob=vUv^_lu>(3xb@9QZEvC9Nx9W4C_|
z$Q)k)!^)Z0_H$L$S-&K6mwLLDqtTAd=`!opX-?gpLWhB)t$`@!uIRCEc5nryzTcC&
zmCgZ_CqhmG4x!#YxxVi|M+Fq5q_|pEE=2*px}g?+)4^{u*H_1Y=`BK|h^!xwmTf);
z1VTDk4Rq5iGbqaMYa@XTiD{UpQryA>^+M{e&+F$H`%6npzimqxUNF1fLN0{|w~$L`
z^miH;xixb~*_95eQV=?kMFjHYlaj^tul@8W0p?1LXbv=?Z_s@mMPmz!EI~cqks9cO
z1Z^b@YQdsrzKDmtJ1>8?(77aVzS-mq7{gjst2<7CBXhtJ|KPG~=AsJ_Td(qLjO3Sd
z0JP2>^wkEmiE9QD{D37_ldZFy1Hu>aT-}Zbd6xa0bhIuDc@W?@4gPh4`=gp9e3!=w
z+%p>WTx<=B8snY%@3VKzMwplZ5BE?tGB6&oq25NHY&PXTSE*<F0}q)Y_<>wCZjktF
z=iK*MG@;yLDvnozO=YBgq~db}AmtY2KL9;gD19)}t}lA7FTh&50fNcU$@z$To;(ci
z04KN8(U_5Z#}AgDrPO7ma%x3TEGQ0AZ<MQ9>2^Sad0DkRmfJ+?T4G7o<k<lt37+`C
z`V5_W7XJKSbK9C0xRPk>;fb!GfKDr4we*oL>wpE|y0!(>+ho>1F#Jdyl%=Kby_Ecw
zi$@uA3NA!qt~aB==fq=DH$FXaZ#xCO(`%H`kfQq5LD8@+4k$r81HCfKDyvz0jE=wL
zm6EXRw`pu^VJ4cI>RA+b0t3_^2biqNPtXW%V`0F%ktKyIvz)Q;rQie<+ndlLNU()^
zjP(3XWd-bk(bS21NX5=OpxmhINVIdofPLEYPCTyFJbwKKxhBZjO)euof)#`LnBE2Y
zB~P=(^8t>>uXhGWIfAu#w;0(#BK9Q(inf+s?DWLrreOy`)k5ci_-w^qRcQr#b9;MR
zN^=Ew(vUX_^^g8fJ=UHCQ#W~b=0YR}+66Jy>^6d;4CLI7J&=X2EYP9;c7bTdAN3H7
z&K|atarxKPfZ*jvM!4FQB-bS8<ygQKPG+(Q$`DWc!rZYlvpYOpw+*VvwgxggxP7_0
z-ig5wMg4_Z?X69|nS<ilpcM<1$AGR}`afsQ1Cc}0V<;Dd&o_?%F&8N0&F4_F8@X5W
z9h6VLgQoOFA4NcYHW~MQEG;?|(X9h_YnmR=gDbOH^D(D2sHsx7X`{|OT~r6f;BeX*
zwW8_gdGYigj@=w!TIx;DQB`=$nVuT$Af1z<bFt-!GhY=l{b~%U#v?`9G5lC&9!RN%
zYa}lR>>0TBARyAtPncD1<1f%Hbb)LP=h{++^6yK?_#r)wgjO&VT4Pj2e@cdStLb=F
za{^@e$ADxTs8i_}vQ!TLHC}24$nICMyeL7bP052-+Nb+V;R)>(`iU#oPG&CA+WnR*
zadBqw_YCa97!u0$<uBJ6<LULj68Zp}=HH0mKezlhDTss$5x#W?s8mm4(SfKDr`n$%
z@5t~M=N?HxLfQ=_a?rZqw6#bGl?srwyQO}XI#`XO;j_%5REGlQbf?}F;ZEG{&QO-k
z&byEHx3lR5%lVbd$I)m!jPf-1hT~Rw^>Zm2&>A9*xV5{ZEEMda@mWA3fZ4FL|5g8A
z&lj}+VEHs6CA=2_rPvPtF_1335Ik&85BSs<O=JoX*{g{QgP5xkiZ6!1f$_Uf7CLXB
zM#+ptlUH}P4y=rB+baMz`Gi)W;zgEKUtjH9hXz_CPx%TlaBO|qZ9$0?lEH+8l=0`}
zMW>+*hQ~oY9nb$oZf0%a)Opbe*u0%<Y?nJvC%0xHu~ooxpC?`xnkThtfMtmGIZH#7
z6q^BbkD5_$KlwWw-eW{Vb`@as#&VIj&;OJFn85%uthC}HA+Oyk&?6ThC)A`l5XWpd
z=fOwLwD5WSwmiw4>rURGH=Gy4YL;^0`<pF`Z*e&0s$plM>n$dc>MYdawxSP4!c>7o
zgFY32KlOlt6Z7ADkOEyB<DtWLX($@cB07@>3>L;zshQG5Gu~L+RRbJ<wb?N+d@l2^
z&zO&Rs{l(+ri3vE!skf6tBX^H^d(mmXy0XmBi0vuEr19+<f1E{dqJ}$7|?_xz)E#P
zdkt&;02B|YcuZuVJOrAuiTybG`ZW2PNB4(+RTXc)51;Swp<Q1P*5fdeA<G%AxmfZ2
z{#g+E90<++Ra25F21NZ&W0!vn$sf@$7_D_qINy6jgl!Ge=+SVU#T?kE@i)rfjO_y&
z3i7b7cO4Wx{xVD|7X)1aFjo`xmlMmlMHDl4S&B}Fl(g)LHxqy?^ri<{{bD@Lp)`l!
zn}om^X3Rs!_TU=aD>d_h^rNn8fF<iGBl`y^v6NGAZRS%dsb9+m4_2SXh{u<~aRgX#
z&q5B<41q5EpUe%RSPa1X)(rf1v0o8lU1#{p_kvU^ya_%Y0GgQIgC;o70d>q3VvGij
zD!Vyc1bWE{5v{;NHx6;-ss1`d+=x-`dxo&N;5to${LoM<1O{3-v@{r~dfYM#)k+)c
z4Vwo6V~+xeEdV8fEy&~U16<QNZl2w9+u{Ip<8T#=$IWT44li3Dsy&ELchIWoz)3h}
zx}gu2LVW%62io5WGkdfiC?iXBea)HhBg4Z<z(UJBO#-zA_)#_Un6RCS&!xs{0f~gl
z_&R91?G8BOpoF#>?=BC&h=uI$cTu~s?Y_G{ez#zrj$b&;J!SWC3G1#oPAt3>WQ2o6
zr5otc=jvA9?;6{8q?$=$ZwIfY?VT^zD^)O!_uJrKPewVsRsz<|6^P-6Ub9E|{85h&
zJn9UDA0F*rc3HaHwm;1H${A#zAr?j|EyXr*dRC(OVt$t7vDK`KQKCVqMa7&i;PxwQ
z7LA8i#o)d_3Pn_MKV6Eh)DJB*U<<=rf)cx7UPzrsfl476MemmT!GdEpR*+&6);a_1
z$2{K*KBw%lW0Aa_51>_zZA^TE9LFR9f~1Z1aRwdR`=uvFSWPO!3asF~7g5TJUZA3|
z>`v6Ar~9(k`|!l%=o+=?VJTfO>WziSLWxIzJ3d0wNa%~5(P=f@8~2JVSvpj#19}Z|
z4SSepe$;n65%>g*i|BN#RIjHKNV5r``NfJ{9K1c4DYYZciMR(AB9~el>sic(uxR&1
zR2e(cdq*ddw%A@GAE9!vzkhv8_4_QXllfEwYs1iX+4|ts0lHO3x%y?e(59cQILzzZ
zXh(o9`u}iAfa)mV+b2Nh!W#W$)mEw8P|W-;?PMiF5QBgm;scCcb>l`;5J~yhsZ0s*
z2+*9lkF;ZEQdt4JeD&#!accoI50ZsmFU@l~ntvW8UxV{^<LWYbsSTH5*`VgeL3**d
zJu^R%LJE#dAP5RnoOBL-`DdX3_z~&htYQs`-@Lf`rYD)^*@dZg9_aVr*z&1hIHAKn
zaH45<V$FX1D;^ZGyb$g%-l*;XUPDd>OzK$FH(V8Ghsvw{a&kT3DN(40OVztB_Sf)X
zAf$+0FD1$-O4|B9e^2FmlVTQs27<Ms>_Q~KjfngJ6f4qPw%I>-BtZBmVCO@c+8SE>
z=8d%*bEPjKQ(P2LXVUX4GI}q$pkS!ryAaJkU-3d1=3X$d0o$&(5h<(S?wyPT`CeK5
zD!ul?Q}=5Cd!WV<OJ6cJHz_4k$i4t;mi9Hj?q72n3IMv@WdI3pG*Pa;2i<Tc(vBQK
zqv?F!<!f^_j$h%yle#ZcvI+~Wfz=A^cF>w7VPc0jD?9r%nSFSoGArxRGG(~)pEUvi
zh&Z`=K>KB3(%8`)xt)p;%1>r#=i)#&3qED2V?*gt(EQcc7oKltvhpK`Q7E7o*%>YL
zvIPV*rt^m7o3~NSTWnPV4I~@nh#N@08cU<s>F5j*qkHSf=zK`}p8-;Y3bv##Vt*mp
z22u@gi-Q62bS0<bmgzv=Sa7c$Gj-Pn(F-lMw-`BZ;-Fy}Pd17VX$Z;ytVzoJ4Io0l
z)$;|-2Vr>jH{0X0eN9wSn3Rr;2fbBEAWJ50wUoF!mgtu*G*<H(25beglRx46zXU2&
z=$mR^Ih|UVf4A>lCau6J?stw2>}xEzyz#gor%NP-7)k%32PZ-WF<IW5-+@KwR|Zng
z+C(EYR5+iCH%1nO5Xdkig;|w#j+rU>CC$l5x|czsmY|@^2P+7&=WV?5A2SHu^8~Y?
zU}c!ehdSEQE%_S*mgjqDf}^(a&`s}!f35{N#FNjxa9j%ur2@}nm{mvE0wQU`dGA%w
z8D?RD5fnk=0!7ZR+5QSzU`l#;th7Ru0z^|i!O<@Poz~PIW#485|9juue27E=i*ehn
z>CbWe4G2gByLQ4`<_5m}_f+3}X!ilaf7@2;Z~1|K?xg{eYTlU9{`Wsz*VpoGgnk}x
zVqtoQ=<D$wu{-d<YOdf{_x+U&+e&q`j<F@XgkI26<zw(3|6JE;vCREXFCUS7Ym&!n
z-qvu<(y~1`%G<tae2FUB0K*^Y*lvH@x)s_B^XB)zFj-)Z=ZlMf|Mli~bSVw8aHtK>
zoHNuj{`2=j%&>Q?m<9N5x_kb97QE^IfBFBvEdL*t7ON4YoSYnWaNnZUZ+)bdaR;a(
zaG4#Cd3%xtuK^AK8dRiLkD1rBBSXo<1~O!3S~xph*QXAWKx@C-zQmwSFSJ#02=WC$
zpg?1epP=u;)#*wyKr)X506EiYsvl@vUD#)BXmSlItTgJ}PFMTB6myVT+8(Ye3_CBh
zgzQP0-|Lcy8OhTyqd$)%*aD^T(EbE~`%0%}4%ewo93I+fcY7)x$t4Fpu<Px7??6FV
zlkZv8otg(sM1LQ-2DiHsHCn(t1R$Td=cHtVnz}l_^*kK&3ddf(1*t8en|l-FX~Ij*
zG@&yCyfZM&8TGTR%I;Kri)Am*Bn}6q+v)snMVyXwalRbB8qXCeU*WVj4@%vIPct);
zDE12_r7rkDCo|igC*ssgP}m6oBX6*G0PHqqluXSdFVg{r?0fl&%LK^}l$^OO#~L|o
zjW<*45}kK$CSuY6Wa6zUe#rNSR#HSCB;Po>gZAfe-B6}AI;$cjw~G^N-fhs54fu)o
z`FCNyyaj;IW?da<T`)Fph!<^?b)WdLP@IOwPZxyaLof?15TXYJJiuE+@8V10<zTzN
z@F9&r2cTK4My|1v0~}TNJU<I3-Cx<#CQ61~Dfw8RG_Y>(=wT#R1p31Nxv$=QYyj2C
zZBlT3d#8vYaQyw)ebG6RRFvIA-7M!VZ?Kse7|=`nOOxI9pEHHqBiVy?Q-W(jve1Ta
z)|_5gY;8@8tm_Z0HYdvSmlL_jKSGUQs&&A6hULNit5j35`{cgB2|3coJ%Ye!{)H}M
z{bs2y4*)2o6e;#=oB+b$RmrUUjEb8nbO7cq35bzTPRORJyv)EVi#}WgPkBpqiwE2x
zs-~XByYD2kTilLfw_T%e+hE5$vRZ1#$zx<>3@Im{EXqFz07-G!ixd5(0|3c(z%vll
z10;untNvoY!|nnIxck+qk$X=7qhjM001iL(jrO|%D)Y8BZynQ$c41rttj80roF+d#
z7(7IaA^?mWd?aGcWuL9*=;;h{O+?2($OS~_cnc%?!RbW^K1`H6Mf7OjPPO?IVvGzL
zsJ8+)N^=W3oBl+cI^f5+(KYOKFxPuD`9VksNqpU23&VGNpmwidR2b~kMpbp)y|c^Z
z#h3W^me?T`TuP)<XV`OAt&r9cNk!^Tu)CJMVeh{JmAsVguOz66>VL3nV%Cl-Qil~H
zJ>QpV*(R;m6Y@>7+>-05Q;^K(|19MRBLmZIIwoQ;5(m?>Rqz^_zp-oD<`~%)2hJjE
zAyh17btv~cazGtN2gHew&e2$(0IR14r6!EOznk2Obw8M!)4GH)lLN*Q>5JDNX#whR
z81X~gsJ;Hm2lGx7O3bt((S#87IO@nEf)2S_d~ddui&zR9l3FL84jTQR9;agT!c{cm
zA`cv+XWJW#kUB#?;+zUtRVPk7Ir%6f&=$&yP+huE+mc$Q{zcFEaXlaixJV*+_b~7d
z>rvD}xQKXur6wCp&!>^^f8RaYdXSEe4sYtu+DQmWqt0&c9@jfI>$Pna4~$tZS{qZ)
z3z|1KwQMpT{B#;)OMLuBZH!gBh~BFc^Xmlb1e=!jvO(G^oc57>@dEF{K~J!d)3V$y
zkW!Bck>K0~hbZfBj3dSwM9jsNU16?sJx$Ysm%p&;b&ifEEW`3mYZekrQ5$UE+bjPq
zhNHnSVXOlo=1tI&QlyXK4$iMD&Y$b)vez27C9SmPj1?@Y6@AqrL|5l2H*fv$L+;VT
z*KdD%s36tzeX88Yx3%A7dVSO_W2B&-pOK={ve_eO#AG8dL%+O|?jOBzg)wW-Nt0Lq
zjB<;X&?exXkpQz$@O|<VS+8U=J+miYq!Wy%KUGgVuaHdhT<L{3+NL+G+Zvu-&>COU
zce+Z4=Ko{jKzGtH7sfgiUE&o5MTF#OExr3nK-aS*hxDYGQeEb7IyLc>(H92ikzSA6
zX&wn4N_nTFRDu>=vSTVsO8%!$XxlHe*(kp<7x%If#E?}`B!vg_!hh9s_Ycz0t(%P_
zbD+^4aoGNG9J<)n%{3RaebLI!SC|u`1qvq+)%nr7*!C}M1@6W?eyPx(WPsjik|17P
zDGeYmJqu^T*M4G(631t%oL*L1lZJj`eh=!OiP4D1Kd<DR#<qysq3U7Q*cbFZw6eI5
z`{54V9jnXh!hemoo0)mTybJY*X}Zr$4gXQo$tCuyc-2A}QK3i?S#&FVfaxGQjfoIm
z-MtQKOqzN&(R+t)1dBE#PN;Z_Vb1}y9q}|%e}L0bGImp(nXotf-spwPKnX08H<f-r
z&04gEG>xvC;^<zQ0nLjVef?MTLHg)*=o12koiV5qlItG>i)&1bUQvff<PR>33F#>-
zHe*wDn#ht6syraOr>{jQ1z|ZBJ=>b?+NU8bLUogEj_M&fG4`r|qi#7?a=tF#^Ny&h
zd@Xwa-N6p>wT{DXoTcPK$9E!lUWD>!_QZ#_Nm^n%wysACf2k|aYdy~kF>Dp<BUh^V
z{-B&s<nkl|L2#+4qCDXld9Sn)Vx~s+LI>cfp7$l8a<a+sE&pJ{Dva3M(p7BMvZv?*
zAY?WcpM}m+72&{gTzdEs*1bxV&z#2-m$2VU2#j)8wo<5VmpXYL+Ahx;s^B9CVwRPy
z2}W2t$6m3&G-Ur<{$;g0?s8$jW#{8_K5QO$cw&BL+A%~E|NgKD8GJv7xvn#6hX|(=
zvIr-ar89qgBjEfK%j;e+pzn<uNi>TS<9*4oc;|iP_E~6tEDK+f)rexuJ50xWwF?fz
zf8RbH5L=wtK8refN%Xg%q3HVe&B|`4V^jf5dnG|viJ=mIx8q)?jK9<yxUh~;cJHcQ
zDWVJ3mG)(1mcPsNim_e{SQeT3F|8KAQ$yO;u)yh6p@x_F_aQ+>mGB^6ZrM?+)k3P`
z9GAe?y!6cG%`(BMh_q3Y-(vjFK_Sywx!!GgW_EY<k-m=^?BmicwB3@p30J-Dy#IJ9
zU5XG=2?lp~*%w1Qgo?P(;~XT0|9MjeQt;-&J{xCg_YjP_f`T#qg!$aMq3~}5<yPwf
z^NUYB<@3f5?fCXmn9iV@yr)xQ>lw8<E-3#odGPIT;)NU)bKk^2CCrDP4G`uDvWQPt
z;hZk3wxRfs4FqxpDnI<k#YW0hY?wJsYH&RUc(>^Cb8<>JO;kCt$1xcHw!5J7DoBI`
zq<wm2mchjtP@*DZYH@cKP{n2h9!ONL3wffgHN{3vI9qn7{r4KcA%4YqDgVv?#RG%x
z(qhTjQOTJhl36a8{IbiP@6>^@<V!9*Y~rQ=dAPy68WP|lo?}VGQp}YuXZ?sfJ949k
zVP;|~!{cp_P3h(|>oWSERpLP^aV->4GF(F}*rL{D4pDOSh>nUHCF~YPK^|fXT3(V!
z)eJ3>sx|uWwJ3X$^4`d2AXuGw;wd5RXx`naPdK{F8j5#z8yg#wp17_*o!~VXAGA`i
zFw2T~@AtR<hVG~uH4Ce2*{6rL-Eyu~I5tQ%KQxDn&z@+9E-ftqlGtGb<V^<KWz4%`
zW0khFD=y1CpAPqz@vpHW<QG)_d#4$(CD@iaV-n;gT%^CI(fGJLpY4JuI(qP+5kGFI
z9G|Li{>s^`-tKIFvdp?x7E$!SgQ5F?-X6;;Pm>+`+9qICm7uJB?Nftfd?|_ck<EQl
zey6ivCdj|$629Pep|Nn*5NGySy*4~EwfvveWW+G0G<r(cq==aIVU^FF28oQ<j!q|v
z$qY88A2gg}R<E!Ec@iR%rg9z9Z_}SwCO+<JaaC~qUzwC3&nzx7Is;Pv&?;|L&9xr;
z@yU^;`E~!XA`DG6DUZz};9BJ{#e2PAh*j~~(m(^bq^(0r=D2Dc&ES95$Np}_GkPT&
zoAijfhgRLfXK6wa(x~ZHmuH7?YELcrMob;dwX}c}@*@CCsu)CTuU@gFMtiXtJ=#b?
z;WQU-SI><L*U6rK|KEE!1({llNRd4LI+Ku@36t<k@)C5XJl>v~c*#NNQRx7hCdp^K
zWF@QQ?sMdXn?Y^hDQB(FP~^)q_#atPBv;F&?2C>bJC{bKL6Wxxq+lRnFr-u90n7l!
zc?0%1%w)P&I{_W+C_aDVy5xWUe@{m2Z>#aFZB;m4^p`X+1KMso+_f|a+IfX$ZlIMD
z;DL?sY%8alCXTf2^(9R2{C{>@WRqH!(JqV>ZKfFTa?_zSt|c*Ui{~u9q_2PT_tWt8
zKkn(@e?HgZ@fC(Sg1|0d{j)QYr&4ZBWSBF>dQxfS$u+|1n}X02<W1IN%xRy}7UiGg
zJh1Y4|L<-4f7;kx{8c%%5qJRc@pz9U^BFv6xLze#oRZwa^|&}<F<Jp|U>WPA{Fn2X
zo?CGoc=Jn7UthTPdhgQL><^-p>Xm)~?;{Rh7xVCCM&Fs~oVPMp`82=E#z={gENX41
zSbWaKJbj>;-gorq(WOh5wzjrLwk<u&#`K{_`IZm5qpbrT*a!0J8At6q;LZR9p00i_
I>zopr015;<qyPW_

literal 63516
zcmeFZg;$l`)(5&NC8bLQl<w|Ex}~KXq&BhX29XZw4naU#>F#a;rMo+&<38JS&U@b1
z@BRUI+;L>U-ag}5HP@{5n{%$vH;Phd$j^~MAP}02w73cggaCYn9Ycf#K14`mVSo=9
zh>Fx}P}#_f9pFEKW^ZN86%;^pz;{Ft0t^-i4*Cl41A=+}yD_whEDX_K-&J5}{{0Tn
zXRsv*{`dPJkT&oM{bvaLLfic76D}L(zddHd{^xB3P&V9uzQc|IZ-acrMZJIzBztKs
z2nh773;GL_K>v&gm^Vm9TvW{sW`E)7{0oWewiBn<u%E}oWc<cN`BVaE^wi#j`Mp%=
zMxOpCoI_?PD*7fqC%}nT1s+ow{xv49<tLhqK#`a5Dl~-@*N?GJgPo5SJ-O|gn{O9_
zNB8FU_Ya3$*A9gED=P)JMzfYWqhXP0vi<({Cz5HbzzuF|D23ho=3J}Nyt(;UY<;L;
zt3%0!-1KACFl*`G-v%1Dks+xCC8C&&xdx00p$LaF)=c}sz};LN=-3aIJ}ur~i~K+e
zyNu}S`D?fPr%XZXx5_@+I+JkPe~gMuGgc&06U;e&;=0)6PH}|+Vy-`)u#%sZ1>N23
zl`CcNB`{XJT3tNnu1TxOY*Ase%EGIjB|!P-+>vQM;`Rk4#whac(1(WjuQ7{mFSox>
z(zYtxcX8aogEI``Z9N^Jue2CFTxjGbBD+z5VL_^i4OpBeGsq>0$(oBaz<nbEgMjnj
zKW{1gaZDrwoXIhLLp{mQ6+-JFTNis%cJ&*HCSFcIh}F^kEQXRr&j*pkTW3H##><Ef
zl}7e9eBEv8m!|oDqw8-nhf{n+VOQNAl$1UT-R34Uf;ALkAbX<kb<$1mszwR&*(<H3
zQb_FrBc_J>AURD0%a7lgiJfrQBr9y;sUMEN`1{PDbF@Oim^Vi;ZI$H9S-MK=SPt>O
zZrHCFeD;Eer4eEL+Q;a|C)6j@5#Qy$<%~LDaU0p3xMLy2ZNk8XaA*GKebFCVDZ-CH
zw!Y3hC*v!FQGA+|odhpx=k(aqLiTm|7u=%~I?L#N%hhUld{oPlF8Xo6m&;bt0dY1L
zCBC$m2U7na+Zz#o7i5g3%~b`*tFJTCUBLVHO^r!x^rclQ7w*fCJ1|jOK9KKrPIr>j
z$G&Sz2rFPO6@nMeWb8$!OB)a6e-h3Xvo9zmhH6n>^c@$-e6NsY2T{(%YRjlID9^i<
z2z1s%zUdXU%^f6!eIC2aoHZ>qtLifGS#>N8`7?3ye|Pg=-?D9CF>NG2%kX{3iP^OC
z>MOwJIS2qqP1#2|sc<CeK@Bp8Il84Biwxnu<;K6)Ky#ptyTEDe_u>41;eGLvv~afx
zyuN4}?hVsUmDk#dr%7Lu-?;WuCPf@HVS`#vdWaad=W6Z3{3{*oWD67uWIw0d<Xnu~
z$V~hpddO9D0DF+%P{yHK3I$f3B!CjjX`f`WTRelYbAknySwO>GDyGO4hy3k}Rkij&
zx%RaDpB#ZF<Cn~(DYW|Ll)T*lcA6$GV5LtU<~X1mzRL?wvhnEdl}5hqh1j=!&2h`6
z8K(h`Pk-`&6p|_2=)f{Zl9+T_q&@j&9u<m*Ux88<NnWlvSfNEFNTS|D%4eViwReIH
z`~R#!>t)BNF2-{m@;D`@>sV}qH9M{j%6(#vcVht{x1S|i4CY#N@p{zbGhwlvQ<L9c
zgp;xB3|0NP-Nf`5pJ*`O)!=g>e5P0x3nWr@2y6&!Rx=T8Wnz|+{ceXt$xi9$OeyRl
zMpoNb{^u;5ibMi)>Pcp*dU5(C$sVwdu`X0LGeF5|F04Cmh0P>k9%`!6XpRj2Bp#oR
z-&@W(&NMW=8RwhlNREqWeyZ|miQUMBJ?bc*^Qiu&7k+cnwy{4>TWp9S4_(_-e25d>
z*JZ+Gn|a;p7x&$k5KA59@z(z{vv3ivH^am46Lzs#ZQ^xV;8TxcaD6K`XvEENh8Y#Q
z<^NP@V~ntvU-HK|@oRfDA0$^7Ks+s~YahZNsJA22!IlyH>i<+%Z?c0#!rqb>MH=#q
zm*C2+?FE2%ge)B{tV^z!$o{Wb{h|?()^R>|<eJpO0IAXlF@z{tp&4k!x1|0bnR$kQ
zsE1^z+P#Pb#t*8(Jg)dMfU#Z0P-^-5Pr<K1G|ipGK~lYT4HhZD`c}t)R+;%H9ZV5a
z)Y4Yx-`;>h>9VGp?0*WDhzx?G!(k(gz090R^`APKhRhJ8E8frcN2huCEFh-)S5+{7
zJePn+^$VxblKkg9v(I6lwB-p0a{Wob5I-1uOv=GOHX>fX4ODj?Joe;|=Qx<apgE?5
z|70cqaTEej(gVgU=#S@Qz@QTG47vXlx;Gv$aLePQuZjM!iEqS#K|^BA{@^=VW?=m{
zV(;MocpipG0K!+Ui1?>8iR>Vt`pNks+WvFQY!OUgP%_y><$n@@rWsiO4*DmwKRDoj
zME@Vr|HtY7Q!oEhFaOi&|1fI*Go=4Br2q3?{^v6Of8Ax=R{i`D@T9YcVFCOnQ^=do
zcWWer-}m8;%dQtUO*R{N*z9?EI90v`z*kpuYPPlCkZIn~E*E|t?@E6Tn<;L!Tqg|!
zXZVOlGo}T5wmF=}=e!HRWc=1o!L<$ub(*Ia9q6t~H<w4kZpX{|%`d)A)b-9K(vDU5
z6~rdm>W=65QODp}>Sl{Xljtj7my7r-VlKySR8Q%%-yGn~Q_aylhF#TmwSJ+pt{qkv
z@h8cYy^|XAfl(qm;C4bmqcQ}|8$O-foD2tfw?a0D3X^8vM#rKY+lBfnQ`!ao&=m2P
zz&lo}=rb*QqtF&7&53)KstFt)+@qTrj|5;yepVdSp1Gw#2JgaGm((FO3mWue>9Coy
zsb_VrD#e1KPFN*rjJbgCPZ*u*T;>XsIahK?r`?K$e05Y5_;i?#e#`~tk$K65f2xFP
zx%G<`-6kjWZFUmpx%nB`i%I7idkA>RS992X-qv{n`O5b?U+_F*(*9Ax8QOCO^i=UI
z1((SmWG6r;%2;YV1AphLUPEr~jr%Ui?=i^^KZ{-y@rt=9peuq3mjwhKhqJ5XS8uz#
zccHVJ0MGksDtK<&x<Q~lZwee{Oj!XvXO`+PB>_FxM<rGNaT0z9ogLANuEHP3K3(7h
zw!x?WQ{#{4k-&4?KnUkQY@3L`BNA|s+jG;>`QtekG6AR-bL7V#N3a1(;FM6dW@d|f
zMe5&6;<=ycd6>dxHt@Kf_$ZfKQ+y}YgGZAsVhO+Kb9>-<)O`7HdsMEy=KFZNgfL1x
zf$viU4jj@n@cuQzf8@3ODOj8C4f$h?6p7J-OdQn@nl&<D8rhu)H%?c03)!&9RR(^0
zk-iUSS@j3@oRteMbH9$3gf|`!U0c`4Hj54JcQtfu6WAc3+>34|t6ib>LmI72_3N>N
z%&lIL#;rF$%4_Bw2P3%`>m*YKB#5WW1|rjbA5A~Pn~$Ws&sr9s5wI+GpfJm)#JprN
z$J|+q;s?hmaP>0|dpF<g7C+uhwH~(I9^M|c`hqbHvV3lK4DMF(txKza=43v5dl^Io
zCSW%o(rh_RFiX;_aU9%)o}M!(09Kay3fAy<L27!q+1pBoC~i=Jn}7XORph1I7|q~M
za%%OtS5Y(z7z}406{uuubr}i4B=@;nBdt{n0$Y>?gBuTO$fJ0SgNa?<6}~m|d0JEK
zxc0kq07J81^1kerG3xvHYM!L|dNa)=VW!f;4(PuAty50~;oT&*+~w{@a=V5lBQTo{
z4B!CY>rjz6O#8J9OK!hvLh<{B4!C}!w02S3_x@KU4kqYwXX55DCP~XY1&wR^Wg}S5
zvZqq;W;>UWG4jrNO3(Gz4^7{T8H-WDOI@ajZNe{lLbX+Ja|v@5P&nD23jbx)0RRAw
zW(v|16G%F(MRMyqbmIaV#DrEX+xIMO$u#^s`(5*qH**@~_Mn#CF*rtQ$Mpfw3~Q$G
z1NH+i1+9OUY-RZhnZ>>Z8Wu`&737@*1a-OpHKnQ7u;g=FJu9l`+#P?txv#ZEa-TG;
zp=)`&Qe0j!xg2i?;4`UO*}wKS&3}G7Kz1r`%NBhvbP}rc<|&iv>dnjUPUUZPA%zQY
zFDOGbTaQ05<5)g3Dbhjn+u`Op>B9ECsLc8vXMfU-U*51=gpj-UMFb$Wbog%wgCi8A
zyj@t3*{~8s<g>}1)z5kD|CFR|J11P<V}~+lrukylditwTVOuA<@Lf{t-3QOYtcUXg
zRVpM!R_+BS>`;JXBZ-o}Z3heA88Q8&^qsGBFaVe;SLDttgtH*XMp14@6VIoJ$@X!r
zy*Aq0{BBS6`sh+gpl0K%dds)r+v3AM00DhR2Ot^weDhp2C9tTxnZmw8qEwfYm9{jC
zaOrx*V&gzaf&d+yVc&ry0J@mSdWb(67Ylx-H_13<)QDG&l&A?HAiGk2hX&x}(-36g
z?|@voszosA`sA5p7DaN+zROF{AmdnYnouyI{kEs)x*&10M*7Hu-YRZ>XLiiqPOF6J
zd(}xwwN<~BX(Evy9O7B792BXPDUfpeb&#=E*JUAKp|!-Z4dy9JuDHuWJc&S^o_9?;
z_v77AoTW8ABQH&!0-zMw0nCW|?0fA&9;PA2bLR~bud*JAOqeKjg6W>O74y65t&ZJq
zI9u7`_R>tEcsH#LZl5b%=sWgPN|AaynWfC~9@uFf95ku{itQbpe+;=48zY%3#p6}4
zFq<0nEEKrM&N%(`wey+DyK^O<Q|!#!jVaH{VJ;J#(HV=Z;rA^^?xUU;(<ad+xG@Ln
zntBq?;9?TBt!O2Me7E?QUfq~=@8g6*yHgatcOu)GpWfNew<^$lYlL8YI%_stbN(q5
zTi<6d@@*34N@Gcj`CQGKHW1e_1QaWpi-@fv9J0XmdRzpziE->O_maR=Q=w`>tm-<U
zVNX+D_@{Zv)xC6Hh+BL(|9ylK6*V`y><{%m(~5T_bmS+st@n{k0h~YI=H|sFToaF%
z4GgD36%|J%NUt&LZk?L&z-uQjDF{yVs6gmf;d^u;p3I~b2Z8|o91Yo?y(ca+W=Ue`
zf*jn#xY4!tVXtzcr0lK+-nRq}z<1g%Q>N#;^3@ur3%TX+jF`>jsU@5#a}}WNq-D92
zl~(VB(KGWOXDH9pP6PrY764`iLgK2UN9F%LS4ve6Ji1k;Scl<$Hq5Qn^+BTe!06XJ
zoOVe^_fu>w%#epI;l~y4h;<gLs3=_$0<iOYWxs+CDe&~;PO!e0jZ2JmWZit9^}1ax
zWT2W|20r=gE+7H;k!Fg)@7P%FQyGl`#YH6K#Y3JI>QnD4Ytsbi;7!xA<_ql};kbTj
z()<W2kw^thfr+eidfj#U6Nt^%3Kr%cYjK0VOSg-cdCcClN%hhO)Gfby;Fz0}HD;WD
zRjbTGS5gnGB<>OJ>op|?0jCv?*asy1T0oaL|J0)X!882q^&<=Sj;aq6X6I+5%$+rF
zKm{1|dFlIHZ=BOiwfV!<&X^PN!8?vRY}6#)4jl73*1b07*Cjcru1MpnmA#oAamhRQ
zSLme=8RHNzh2QQrEvTzgS&U#i6OcUI<C8k#XI$oN-4(9@6|#zCWNer}B1>dcRw51Y
z<S@h1Jfni`d2O*Y&TTu(foyNw|IFV!s1(p70;S1V=Oh*eW?83|NQ-)-2MacebK}15
zn}z2BqmFP%({3M(W}bSz^O@t?gEAlp%7FG5wy)o#*w;R^!J)5TT)S^&^qyz#RAs;#
z=6@<WVO!)-#v_K+-JoEQWR^M~Jn${Ebc3h2<xQ~Uba=eKR5b^*{D#K|SDZ60l-Jw3
zO3rdbmKKfLvnAKR!RGUco@n1UUVtiJm&dg9@UCA-p$ag6u-GKmwXOb90dxFR=om)B
zf&-&gd{p?+i|Xg<3rsu8m#bz!x6@hRVk%N*E-B39NSww*j{sMo5*Sv0vg^8x%{Ru;
zd^E#zZ@OTd&grp*@4l4zZl|Gd#;EJL!L(Oe)g*Ku(|~=fBzBn7k@ZLSIezbZGm*8u
zvtcgaU{du8q0OWxqVRi>TVI&sED)JB&hox6I>pM5-MkPus#>-R%A2#TC63l+?TCEv
zzhbFq=;M#uKFy=|(}Re1;vLqlJ@ZK3DJgrQFs1TqcA_k?#<B&9E{iDojp%PeHlI*p
z8?a(J6)${Ef48dJ`Sx9ofzL|HE!`7k$P**3lKBgW!5ptA1Z-`4byIsX+I+nv6?J>Q
zTiqEF(}YxrHs^o~=qkXeUJeo{;VSwL?{RrJ-0V)0ZM?0m8$b5?35yheXdt0a4G^@|
zv~>}n9_noFYHQjEU_1ZG)^yPRlr)0GkYs+NgXZ$($*bTO9ogGOMDi(``tFpLRF4r!
zg5xL(N*zBm4TdXq_UUnpW8Nt>TG{-RfUY18#U2uuIVWNmAZG4v82j3Me~W}Ni(%yI
zWbInkJi^7Cuk&2rHAw!9e>9s!-y>;}NPfwY?&E@@US8#dfo<jKF(tmvel=mKQlhe^
z!dD;|G3E|1T8715BJQ>{Oi#hL`Z|@+gC05JdX867l&Q9~pr{$ndeYIC-1^UCNSTjp
zhJHpAzDYiF2fU@#8!B(@NS_^-sN%fIr9nSF619A#t5M$vND~KJV^ZR{Em%{Ih{FJ?
z+8trQ?=oFxE#*}Ro;j@u9k;<%D;Qs)o7F6O?9ueo2JMu)fn5M6&BzHI9UTI@YQE>t
zOU&)C+O=QVo}jbo^mT}BP;Hali*KQ!RQEaWWKEs~!dX`8-7dT8qTujBP0wrz&kU&U
zWmY%NJ6K?AsCfFgzP*AsZi9F<C0ZkvX}%+bq_g;LX1FfO3~Bv(wTS5F{uE1-L>K)#
zu6!1wKNGsscb&oR;d0;my?JX!x2f*wZzen4r6=GX`m(x!W_CO#gf_tbnn|DinlczI
zCa(|F_Sne_Z>z1>li&hFBPrQ4@Y_d%8}X`cra=yatW_2X>KeQ|pX2NezoPp>*ohYb
zQ+$4YN<~3MWlH<u+7oJI?b{Jf;L+M4VOhM)EVX#wnQK*Pe~t&2s-yX(PzNZ<Sv#ve
z=#4TbZ_s-y-ro{`wirr@b37ywzGzRPe$l+~1uaqMl^GEB^4|m^I^awbTRAz}Ho2hW
z`mk^UeGPFqHy8R;Oq1#4Pk|>rL-<(CRnu0*rF2AuwR1>*J8KJ$gN#V3s_9+}&QlKF
zodlMLdyw~8A*roibw0-Y@ZV59i|1eR>fQ*P4Y5-Y&<=ai6%I)W-zej;-Xonkvp%&P
zD3`Bl)k~P;fX2~*J<fM}IEnThIvBy#c<WDkd_}w&YOwgSjp2SP(~~LJKe;RgTQuP2
zcIi<u)j?#Y78PS#@_f)KG-6_<GecEBvujxOu=8})RbvLwbb$B2R+S-bFU5J-uz4C9
ztR<MFwMPG|{9DyU&J1K}1TUG5UATZl)pR(MpIne4ozX@c@EJvy7wD(V-<8^`Wjn#@
z)?s8wa?_qAHC;9z<sk)@424Pr^nz0oObaqxjA!L<^g``a@g1t-TXb(=q}fGM7eN8)
zHF#nRh)!!an}Y@qjyO@R`!RK?#p&l?9b9NF^KU3xC`CCG6Ds5gd4}aU5&KezQ}q!R
zQ)2W|6>2N>W)xC1pn)kw7_b7?J(d-T@7>8vV;qAS8Ip%<igW-X;7TZ!397=yQIWVz
z8+Fy9o>}%MHosx0J<kbe8rbO4R74x<c<ZceMun}uK4O+&HUtfH%`yOI4|6_Ewd`<s
zx8<-)GDjjI!41!0&Z)8Y1Ce)bSzW<G=dV_cNQPI-1XTGfio3fpln^KG<%C({^f09@
z3<3!#k(_4Oax>Pj^}4!x>cb0Y<nO$0b_yyLBo!={SW;YM&D;c%(UU~yPpPSt!W}~|
zs_1KJTj`*oy_ap%Cg$$bkWs;UVnX(pRCt-bMpPC)Zh%srkz=a=yzA+qYNW9hlX%XF
zm5y&b5~Ax9Q{H+#Z0Ckcni~k%N^bDrsUPcBM%{;jE2_*@qX;ax)M*@UCEwe*CCB#(
zvv@O(W+}?WC0t%(A9Wv^v3rD12l&~g%D#5Rl0L5=v3h@I=2(2C4ukMq9e@Uuqe~8~
zUijl&O2)ap-HZ0UBe!I7Sk1!`upN9;m1ftHV*Na4X1}vGTKIv7a!MDXu&Q1bhUhS(
zEdY{F<rc#l@L3~T%7*Z4b;Hxyq|<-ipJNE|fqKGhBxw>6C2Ntg_0?AcSG(lV0<kFg
zRBT4D3Axci4He-pe_AOu(p_3dL2U_$xZtE_u?S~Ae!XV{>X(k-i>HxGMU`kXm|>kb
zS||9Wcoupg>h@did{3^@FblYRcI<@8j2ERmHpJ=xczvg@^AY`!Cf(nIq6yE+sPxf9
zYT02}zOyAzXqU}v7xN0t=v><~SBeyX+?vf2Z<qU=wHKnGT1FWNj1v9on=R|XS-vi-
z92H8dac~vz^!)831o1623EzB=Runi9*H;xK44BigYfk8D*ee@M3#(i1L!(=xHzT0Z
zBLqR3JGQdlKSP!Z!*n(P+#}uluXwrnNJS>f8wLRfxlw#!uUr7gN$A(4YDz{pN=4Cq
zzvY62m8SL}V7-6mPaVHNGoo&8pXv3ZuWdsYDtDp2+29s#j3-LkA%;O!EAyI9qOGXd
zARivq$}u3*QIuS_$4+du5lD<3ZPJw=>lUAwv#CUrLl?R-B&k|S?@lS}A=rQ0yu6et
z=z+&z$qHx`H>i;n?&A9D0ADBNv+@Dok@qzzb92eeyToEb<B=n;E&h3}0)wPyZ_8dK
zp9Zpy3T)%94ODEvQ8s)S<=uL*DHJ-g-naG2D93<gBGOWzo{4v_q;fS6Kk#SP?fe$k
zlGoX6$zFNu1K_IL<{zzEa%3t|`3RkliRoyYDbM{FcNu~nvvA(2`<?I$pmd_C`poe%
zcUcFIuZMi&W3F1Wd7V0!>x9EDl!AUKNPc7X5-S{8ac78~KRu%E=|JS{v|9v8n3Ur*
zv$LTP$|8e3;E-X0RD=BIn`)1i9v`^bl_8Sh)w9>N7E}*<CAFHZ2kTDG2m_4EN+R{q
zS=DwVFiZ%>yR<isgjMqUsn+~cGy?P8V`k>Ht2zFJZva4nYk=iT#8xom!y3IFjDUdr
z6l>N1tZsn#(2xYyS^gWp{%_m2j6A&5tSk%P1z3j8^iEtN2lPHp1i7d$M5O>5=?5zT
zAHs_y1eqXZ>xa1LEyA|d2Zbbg7S>Pm;O3&&pRUK|YepD5?drR4Bz$(yrW%GNR_5TA
zbT@0ml4EFB0T*F`*xliq2Ur6_Pox4{($m~NQu7Ns&)()x34Lp)x~u(St)&mht_mQ#
zuh5Gl>6$^@gP~lNcGl}Fi=#dlmC*vHh{Rvdhc#?p#d)1pNIjuDTW3UQx$0(i+-QIC
zT^%J(rko*8&7rx2Q>q5la|_8RC{JSZ36YJ+5?k$YN@wMT^ya>#G{n7YNJro%A(Lb8
zqszv{swN;TBL1>4hlW^P8iEG)jw`)cX=!&<?B6?Qt;>fQ2lw$1y{}Cn6_$%BU5P2v
zDLlMsN~tTaooEX(DmJ3M*2%jXX4o-t*H-i|2C-Ye@#)Ojwcdw(oS2_X=iFx9loua`
zfbo5x0NyO^Sey~dkX0M=Gg6<Y*Q~3|tqNYoy2$)5+k@dhkbfU(ZfJmwWNgD&?Ez<(
z?lHl5m^4^V9cscLG`ww7mBD|{-FYYw%F(F|?%>MDNPs7WuRD?qX!UY)`)G-HHAsQr
zRk!xD7%9@G;*TT=Yyi*WUJ<SB|Gkm_`6I#(eY~bzJN%y~zmq6L{{Q>-8};Q+!6Y{T
zu=lWAT&|(lAe{p2)dgT2){4tpJYs%UeEo}ZA_V|-T<OY*0PJ}jaUSqApb9h7_u;zn
zu%Y-q!3V&^NZpqGi_02z0T3}=*w^Qldm9hROkm6qgG#_J$<?{YT-cc`R5fs0`Cy~?
z<6IbUd#JO#VjDlIC;jY$8dhFRd%Q2o`KtK9L0IQ<9x@7`m-B_54r_qNEd>kJ<COk@
zt7-7~aM`M<ZJC$hGFzC(78x_j*~{#6f-+k%$kga{o=a-$oBLDSx)jjIyF=`wO*{E%
z=0nLR*Q35I_j67t!2XI9!_GV0_AB|krf~+anqx8XYj+gk(lTj(eH7vP*eQL_gXYV{
z+YiiMEB8mfzF_5;a>&+*?U_QGuJ;x1J@na_=+lF5y(Igo!_b4jmT@ShhMw~ewKxEP
zeB8GXHYu=3cX&cw9&bP)dhQ7z21l)r4>M>#-^QfDVpA)YC};2HP$ua*UT-9oH-!Au
z1K>wMu@3{t*@muv3cJPTYY%PNx!YfRN%T8_P`-m2adk2jnz1I>^AC>n-hdy>fCYlE
zk?^}PyoGL8mXO(vt^00a!3f_TgH_Af2tV|6Smxd2dwCR`<z_p6(W$xQn5T}nr&pY!
z+jYJ_b5<aHzjIK#B;>d*&86=-$n;w(nUBZim<1oM)&K>6Q`_>ZRDpZpd>MdQfc@yF
zt=Le`m2}u*(u_S$NndRC+&V?^fqL%%*sA)~zHAzb?(Jr=g?7r=eQkdd(-|petQT;1
z<bC8>h}v8y-U@Z!<-RiyfAZx?7^TXWPwCLi46qEf?h3)Yzr9o{9%DLm%r8g4wh4S{
zT7>t|_Ebm&G-T;|y50{QBZd>}mjh6E5=<e|<zG9Hdx>4=!|2PB2QQ0ZktgxKIRDb{
zR7iq)Ut0dbq&_@~yB2`A#Wu(gr#IQX1LQY5c%K1E3^Sm{!!^C*JP`=!1lQdkccPc;
z{osXcJ?!lC8e|FX0nirS(Zpq1uFG53lntwr3V;`}^_JY$B2feNA;X;YhlR@1zt5Go
z2tjB>J#KibG(rL)?Mm~;0QxwoBA3UAO%%7uwE@JIRLm*x47^TspBd;N`|bGM&n-RR
z$w917bdva#pQ1gFpZk8kGm$IMPT}2D?_6n6DZI=KfOmmN*l%wDPM{oU0w|{gAX?Ye
z1u22|weyZB*WXT{XWpsMo9c3JTi~$t33O@IdX{n2g;(@&zt^GkLjo|7m)De|jH_Nr
z#;5Z+^O~>s0N9Wt>H4zuF++5d78{$-v)+Q$>*~1gb1#oa({;o7xEzE-hUIyB;`q>2
zss=ZZDEi+_x&ewdF=IeZ**NtrGMwu~^&5A^3+Anl=4y|UTF&z{8hH-gjb41Wv#~$C
zb1!D%th?yZ8lVy1{Fx&Q4LblZ1!<M`B2<$AImd`O7l1)HsF{lbcPe@Bs@7+TdITXo
zzg%!#iuT?&k#NCz1vdLU;N6*cBV3sqa&0+$_~EJUPL*jOm+0C_FKL#KGt$<g*O`I`
zxbj1#Wzf^!sX1^XBi3G7Ba^~%K|+?p>NsNb1YLdk4x#x)UoKPOTQ1RFW^@pC1LUx8
zQz{ixP`$W!ShXiuGqHSVB_?M8bOm4wF9bcD%2+JWgkoeg?UDW5Q#S>V+|jQA+?|k{
zhYJu)T`31JKVY`}i-3c_y4H}Ih<`rDa%{LYV(P%vdV;2Y{SU6CyCLktp)cwhL~oZ@
z=wDlBzBR#k33o<72Bx-$g(lx-(1~cWV48#RonH5V3^Q%}83%mwl6Wo!`gRJkG8yfs
zje-yA)}ms>K4;(wp7xPDDdv~g!wc6BaY~=d$v*(J<dkT2@{d&--TE#?I{fuuUfV0L
z4Uhs+yDiq<7jX?AEMM+~Gq)svi9O->JgCNR{kHUQQ9Hxa855#eIk!^4(-Paq$%uP9
zZ092e8X9}WmB7Z&{|z8uY0az^G`1A_$gA~vf%VJoVdD`M&g1e^;bb=QcE-@;lJC^k
zj%+^a+1UUBB}x-cJC+BFs=ekl>Yi#Lm2w%t;hInQw7XL={S>n0{3OWX8=Gn0$9Y?y
zCrcGfakgrUuQt#7ap7E7wPIFuY~nl@XQa~TbOt}5yqX81KG;8`JLl-+@P>>+PO+5)
z+SxUSFge|h4YjrTdD1y7v8HVAHc~^8&%89tnso&P0Y$VgxNucab0UwQg4$_Ps=H9v
zJ)&)D&b;hsHa=yM-*hp#?z;4`YVNspo<ub^k!=;`8u}-5Lp?cs{p#9f6{sPxg}oa;
zmABDOa?g}zk4-#7fqSRwBg;~*0`79uj#n_<s^$ZBV1kUqzi@vvBJZ34TLRKyj1R>5
z7<?zR=Y4en`nq2vuv`HkqdakDp@`EXo0!qLZ@w26d}O+)+p|Q~PT|LEB}YWs9m>th
z%SF$#7qT_>vd~k*B!zdRxV(wzbU!b5ZAkf@M`iASSEhV^YcpFb8+CYM;<*3Nb$m(>
zj}(ivXC&v(5DEA;ioQad4wGoXo;J#cTzbxNb7&X=4e<1z^DwDo&%q;}De|nqlk~2J
zk_+j!e=cH?>Bn!q>ULU7zoRd2V#_aDC9WwXKq{l)`9$Ke{i*S&#gi-R%MoDvIUD=T
z9lOsyp?hzWlU_^zU`e*lH+VQr(rxLY6JL(7r|0ovYD|icVs+cGrl?C9&Qsc`#=qV0
z|1uCfOz_wPTI0}&oZ%521jk(~k5A2;(#4EUvt#M<=2=InwXivyO&qyAM!l#w-xW(N
zV^HM`eqa4VL+51v`KSjWNRyIH6$XJ%+%GLNPzB&a+f>-FEj>u<#eN7x7HsM`%P-vF
zd00<<xzE&mKHhiN`gki$vU&vsJqK-N9SJVv`!s*a$8f2nENhT|XBJ%mu<D)93O~YQ
zoz{Ie=nYnMB{yc67rsJ|EfsOJZ2UL{yvCaxm^igy?s<DL4W+dd_qrriTwIfyT_|7`
z`PpbR;aC0R!!7Nb6s2d88>;o&aanh!W>mcUF+^kP_!3kFEPRW+)efYIFEVvTaP#wq
zINSk5;SK<BB4qmNkbHoEq;knFYW%#M8K#5JM&0>*BDD5G9XNj$S0opT=pl}A%4YX1
z0eD!}D;0SjUY|QRup$I=Y}ZMFk<-s}5dc}9<0Gek4IS7X$;0-Gns8X_aR|@gm7rs`
zuKT&tIc#ohM`pDc$pJv+WoiV}KgSziXwP~MY$5w)IP!J}TjMn3)(aUTV^gsere_A)
z3kG@GR`gSe7wHm?^$s%H>-)85*WrL5dbq^(HY}N$vtDPz6X{Guc1;emp0Z;I3Jucd
zw>|q>uF(c#%`dX_rrz><G7C>pKQ5^pJunYbfbxxX5j2onbw=U=oj&#q#;2!T|7ztj
zWiB2yZsmzVDs`xVV$dUoZBJzhszekk+ssoD9@?&l32BqCm`+-9M;`BE=NO+}0>Q4h
zhVQKdqdcx8q2||=<#%0Wp(cdrLj*f&Pk-hl{kl6FjfTD3aJ@}ix}y?{BMXKgGs~=^
zRs*VDV^KoEIuHKDtHwm&l(~K#%SAz$z4pCof4npsEj5-?=jNeM9I03>L3NjVn9<6*
zJr2RLg0CI;*Hy#)#T+&WJF$}NgoWFSSL@i2z2HIDT{0OWX>QHG|5Xee0|avatL1EA
zh3{6-*W&wkj=QjxOy4rY4b{nHm098yn$N364dTDvOU7c?pf+9)$j$RhOyNp?&3@R6
z{RFbprj8?4qC>Z2m9UMNN6PQ{KFh)(<;Q#8*LBlm@d`SIQo3{}3HBL#pW;V9JbPt!
zu|mTKZ%jcVjtM$@h?r;Dsq&x*S(i~G{*g%UJ_k`6)w*KBI8EA~vzt?wOm|)q%<XMv
zmp`0exYRapYjhqdO<O>4@VU^gtoY0ewX|sn+jpN`lfWwanBvJ@xBgd!(WNIZ&@3><
zrCvC|U-HQuo5&q8nOIzX*h(KCSIi~l{NS4&N>eWl!y?>=d0#<xX|FSjc^#3oQbvhu
zVr;SaO3E;Wj~8i23kV(&UJRi>9Qj=G>(3GC+yZX3VmY%VNxs=JBtp~p+1GHUh7fsk
zHAM)9qY|%6Jh3z`QK(xQwkmQHx$py4S*5Ita^TqH#{~xnZ$s1?vl4;BX&5eVuCjZk
zZCScl_yntke%LoH?OtznV{=8F?@S)2gu6rIHqxUApxX@*3w9H!2fz>q0EQUh6GOhp
zB_fL~;{wZO!24GNy4d#j?Zi&79bA*Nhe?pKVF_<_erc0ifz-4d1IKNLjiy1D)voy<
zzOS-eU6G6|W8t7=`X}H-i?p5(2&4n+OvD7AYDa}`t89<H;c?Hd$<jzE*AKg&Z9QJk
zxGoXZcUqC({yMzh_4Op78`RwVtY>d)1=8Iy0nja{5RlP|h48J`A?o<rz>|qC<U3t<
z*p#+V{$zlj@k>TNb15|8x6xg-2}+A9K@(`g30-bGQv5z#6U(V&KQ^f|-lgl5MZlQD
zWAF6@>wL7y$`Z$m>EvZP3}fp`y20jxq$OCqH^Fx@J6mb7a5{5DNgj)FXC;vD;td#f
zETc%az@JRKsED5s?>Z1TOW*B3*Q4c7NSP6L`eXr7NrjLeRmmBUgYrjEBUUHVPiHLm
z18D0A+q&J35+#woOZJ%N;mX+i@_L&Yd}|bY#!F$=Q~ESW;k$@-#wpa)H~^+*RU=U?
zn+V<!9fdVRMJ*tztL8_L$Rz-it(CEJKOhxAgOERc+(Mf%+|3)U>T8za)1PEkmp-4V
z-qsI!<+A^QzErvZh`b$_FjL<Wf$RLgdkpc*!YdN1_;XQ{m6`vt*((Acv?m#OZImK#
z@2pi0?xN(kdf4^^82KXzTjDz$ytQZiT}^0<VW^T9r^pvN&E`Yr?h<qy@u@QX4S_eL
zhtT3!jRigJSWYoe{$mdXih%nd$nwTtRmpCjJCl?uR{oXl-4%8@UOB-la1*6aEpjE(
z#E<^cq4}ZFd2~v@5<U=5BSPlGM(3@M$*P#5)g(JIfOEiy!_KHnL!K0(`lbA$>yeZ&
zIwU{tFYTMMxnwrrH9AS!=>h_7DBA5GX<j>->rgP=cTo$qt7HzmGMCJJ-V^+V^LB(H
zF+U9_p;3<aMcsK9Tl7QhCP}-NMMk%-abW}!0uBumkWMr|5R2^83c6e-myP(=X!`}j
zbs}Xs@b+H!r+sK!aIY$1Mz>p0SyR#wB~I=nK|!xrs{@*HF5}Qzx1ghB{0RjM>25!Y
zz;@SLAP2^(<i~E#w*B(+82Z@R50!Spv+u5PHQySyvpbd#yKT)>&hGV$SB1}ao5eT-
z*<i593`L+%%<Z^hR_<&U0JO(=d0UszA7aerPL{OvxZP}8DIhDm-@8_RM>P>AV_~vO
zW=`AA?pwL0u}VTYr!`5(sB*2lJb-9L5^jcq`H>w7AveZ7&c1<mC<o{M=b~~=IHxQS
zw<=BkXx<?`!mO$1jC=WkkSWvH2M_bhL{geJIArL`Xp4!F^|)8~!NIYvyI&^ql{ThH
zCA0ZV-vYBFk8{C9U{URpX|==7wRYNI#xZC4XK?w(R9~z50C@GU@|<01KL{hHNg6*^
zJ>4pau#y+1%xMo|Pprf076eGhaU{*qS<@R+V|u>r6=KO%e@(o$`h~!|N&QmM?#a=2
zvle=DW%F4&jjh*_=#`QX;*X7#2F@sqW{%NWR`#APd9ds3_dnh<D@h~t$b0RubL$JX
zN=474aEHI}+*2SAX7Zk|VN{ffbx}UXVmugu;=W@~U{;w(;5LcfPB0j_(Ng9Ltt`m7
zVP=Hj0z!O{T#+~{VeIeT6o8WJm^$hu8jNJWW-Ll4*~+E&O&k7TRZtW1_^S2caKg>P
zvt$G*93C)qpdo28veBv&w@&QuY!<bBpRqZqj1<kJzZy{eB#SkbI*-J5R!xDLF4X4D
z2b&?bZloj<N2*@30W;aCeR|MZa0az*cD`Jq>}Dpav5U+F(Gl}!3mzfb8wE}y#a^37
z$Uro_SR;gUi_MQ4mt8hJ<2h)n?yl&sLZWPa__~OY#-q|GoiaTWSUsT#FY-)NS*!pV
z#X0$;*TMFltNpY53UWJ9%Q;~v&#0<bD;PE&ca(f(J7ZPNDYk8w3%P`J?OCGny`S6o
zYvtCTPP;C7Lq3H2ZnU%1VCx|>mU2>KZ%d}ovf~eZioKUl<AjWNgsN1g%sA}_P-zlt
zBr#e7p(~tstsvojdE{=B<|c_m15Y2z6xWZ}VJW=4TqAZu!dC*B1NU!8I5v{9xVKKe
zB1NZ|UXsArhu!3i#$~Zdj#ZsQGV}z;BbHVer4p`VI*)j>2J%oX6~%HbJGfg;&<4_7
z7u_e*=c?6`-PlUIQ38`6=)5E0Ss}=2yi2U2PIPUO+mjogJ0~@&K3IHO%V<cqrs*-A
zO)n537vFOBke8P@zfBqSqT=mxAp>nX4J9*dhsf1;i<G|E5H)UCa{nNDm`~lfh6krJ
z*n)_BU56G^l%((iGQ^7dZDjLfJ{Z1Do;Bk)zVTn~mU#KWYKB&DR+pE_*sUoMo%#Wq
z6*KR@iId61Gut$yp=nxVF<}2AA<{=jj~*H0<kXGeC~%!Es$QuMvXlu*#<x6nq&;kb
z=zKaY^J=HVrR{-d!C89_jv+~>uQ2;v4VM6W{x-H>&MBEC1%Bm4M(qrVVGbwNH1#66
zbpBS{I{;vXl%E;l`jBV|qTNS+j6Pi2KVBYa-f|4NOb+Hv>er+~pvc)&UN2(C37N?>
zX7qS}{V}Q*8*-BkU|<#Ao0qb@O(=fPjC@wyX}H-`1B8rn%w{v6`1i`Nln%<R5!#C<
zaYiqWeHfhaH%#CrF#DCm;xC8<Yk1?vo1xs<)uBt|L_ERA_ao(H>WI<9X=n@hP*!ab
zb6NB=hmN?7us&ZhU7`YprfS_Vx|kWanYKR_4iM?>cn^*nq`<guF6`Msz?#vV>Y<He
zx2BT}SZ2ALS7wNO3WiwBoaeXmWLVTr5bhA{B@mr-gKFH~(cStiO!L?FRBFC9Jw3<A
zH?8_+^+EMxKd02e)JxV5Mkdudf`MP2pM%i1=Pp%=wvJjxGlU;ISTFO~JWDIvi{3ve
z01oo+PgXy4>e)kH)mj5FLI7B1$-{2-Igg=2#lQT|T>w}#<6a#sJp+!t>~lawLzqf*
zJ-q`Z*v*8c)qlQVZAE>tF0HFhtDl*Dg-KOH+`P-qQu|h|!X=<LT1oKN<N%wKD7G86
zeGgn!0z%jphKi#dM}oy5eA_(Tu%O&fTHKX5>*3w_$2!%I8Wf^7GEM_)jSl6BTI^p)
zSiNdcEpHr6jOluUA*BA5bl;fvy?BUw3llSU_qEge2u9`c9eyA&5WF9LHJG@S$X)xc
zl9zVa-w?l^-9+08NIkRylG>&&9139<7}_Q?B5uRN(GR=MY_M>RXCs`1Gs^{xy9`F^
zP)k<vIE~hU<es502iOrVzv)u|qg|g3!CwcrTyN^4e~VXT$beIhU>dNwuE`^0!|z<L
zD29B){Y4RHk?7VGHp4&dY}y0buOlTL1?M@}>x??(H$97y`$%x5ur3d$nq@_of~Bi(
zPn~JYR*h7tKOwJS#P5W;-r!!(u!hNIj=l2Zxh@@o^sFMq&E?K*dyG3C325X=+YpN0
znqZsm$~W2$NAU3$*C8|(0wmy)eIdVz1nofaxYmAwnKU9k@n<kB=m}$<^*{=hG7w-Y
z>jzq6i!ShJeb(IU3EAF`I5@Uq9)H5SWTr%qFm*o`EYx+@kS^j*mijjS7B&HfC2dtr
zdh{B|vXW2L|5?YIHiwWgv<}f&6=L|#R!}+6SPS0}*z5GNm%1T@mvie-bgM>pjb2&M
zi1&8mi!uW@MPpAGlZuFc2>`}ubXLJSQ@6RX_uM%C=s4KgK3ES3YWy`5=7^sKmUl!<
z;LU}YBo~&}S&TLx5R@e%LmE@ZVls^+UAoz&=NBw6v~iZ7e{l@a)UI_~eJXq<YG!17
z6+c?)@g&&+d5f_(;zceCd(?4)ef)NkeGFoXl1<=PJc;3JEg@aOF&b^mZ-QdWKvL;E
zK5t+ufSWU}^$I;+k3#&hijOZspebCM0J0UHF=C49ZXpS_lr!+Wu(6a8%4#tPnu{5X
zazuZ>5q_fw)#SCH%iAk|GxmAzb!Jroj9y2{<rWL@9O^wK*4k$gp>~#0)U&Vj(Fw6i
z&xD(tP~!T8im~EeZ%H!r;u){ayGMvq-*3pbC#E2z_6DU?r3l%M7_VbsfPs)k>0x}C
zcIIWFM|qqxZ>4>13bl0|`(TM-MB8dq+xGX|dS8!8WvPvkXlVGm__&P9XWEkU71K8`
zH2RIrt-kSjhy+r-dMBsEOr0xnART>RZxs&TTPCOk+OXQtL`and(D}k=wULZjpe^Z5
z$tY!u$;>l)QF3K)4W*ahY6y99ci<k0hikq1=-hL}yX~nB4c8h9z3g*TNJ3{ax3S4#
zcCU)LxiQOeuh7M}c{9<pBNYqR=R1@4gPI;@DF}Rva)c)D3qgz<xC-kN2^rpX;hI!z
zj>)t#h{pAO%bj>%s26a$iY*QG!O`>N%d-Kumjb=r!Fjs5>r~?r>UCnHF3Dd5(dUL{
zHo4MTE_P3ZG3{Fyn<sK?0+7_))X5iM=L-t9UN!bX%k#$wVVjsj`XUXQ+%^MxMXs(l
zs96{M<VFim<p%o$rhz1}I?4ft_d^WH<|f8pSTeF0B4<8*p-bB+BMY5}YnIQRRuMyl
z<z=m|;sBeSavxMxP<%7yWBndYEEbrIkQ#=0!zQX$GRVw`wq=o+RuE6kv>|E#L&|Xc
z=d`APX_o<*5aTt3ouj6Qg&x+>quY{JCx0pJ4c^nkoSXr?clej4GqBt!SMFQ=>-*;Y
z(QK%3WvG5T-5c1W<`#2<-eL2++^#5T9RmGB^|9YoII^%c`0{5Ck~Kv9H4r=;&3eoz
zg}uD4gh`S{?lvB4y{<ynnbZCqa@=)cgy!ZRBfjBJ8{J7HjGaLoRd9ecxB1Z(ip@Lt
zlV{E$roGv{%mi`8aTHU%6jc+;l7;BR;x4P%s$X$nJtsIE#PpRQG7(K7bfsAGldk>P
z(~)KnnGT(<ySlR0Xcfu;1SwhaWJ9*XOj3)zEF$SV6G&Ai=KK<|eF-G^2no`uB`@0T
zew?!-Y8h`H3#!(YfI%3b8LLr6!hQ~6GPEkjF+P#&%Om!!4<n~oYgY>pJ51U1k)ZWc
z=`ytOpN?IU%oj3GA0f0z7d7(v7K(fQN)X7oztUR!jNSNBSH9`akG(I%E$#CBWB(Cd
z=lh9qE{fzNdS_86EXg__N|O{LK7^=%R_{4@t~r04mz8*+%K8M`p=@11I{XU-HUF#}
z{dV`ThM(7N52yXWI#yEqC~A>$^bUR+?7W;p^Sl%PnUzOod#Jx!)2qVWxdq|N`ca3*
z#KvYD7Ej5|WVXZ97~QLa38suQPB2Ut!&vg!_82tC<Rna{?iquXDUKI9*kOh#{fZ7r
zNG*-@Dc0RarxHwU<kg@A8!6M-J`B@fOm(ILqsVbj0T)cc^#0J>YLv?O+g{?+F1uoW
zt3ptcR$z;lBSMj6Yy66~Kl>$FMw8C01UT9zg&tL(Q{MGFlsZ$I*{RHzT(hN5lL-dN
zBh<%12*`z=s8;*;L8wa0ukWLD!dDjCSH{|~Ts;rsR4{K-8CWzKTG*uEG$V(i`}X~G
zIUToHo!8m+6JN5IN(3woo&Vae95o-ZzZodAp08EtwxY;6Rrcd;xT+Ug_Jcz_atD8K
zOL+GY=8b8l*J=Ox>S-S;rkhzWZLx&`_=Qd`9Pc4)C7<Amj%_urgWUz#24_t><!jt9
z8%C&+>Ioti+@RLL%d?{I%;6z9?!8#p^2ebErjKl#`2540AI;gm+L-hkp=yFvBIfC!
zaf%wCn5A}jxEe5FpWu__Kggv|C<$kvFmx<mJZ;mhK7K$YSrh`Ie1vt2Z{BhN7bfh!
zHH0RN3a#r#$a;q!63B=@GG4AFQ+~Se6T0C=>T%mm;E8N34onIRr*OOBrXn|ek7M}J
zUNK-SUZ!$9n&iIhd}4E;>Y5%d_Z=)degy(J;nWXxCxpThpH(>P1NwmcW<UOod*6B|
zqLkGLq`v;1Ej{_w@SQ9+k!DYGeaC)OGeq^JORrpl`!intBd0Qf<}SZ8ada{Nig1x!
zs&iBecFf%3u)}j*wILDkO;+yaJbb~kgj&XmIp{q_2na7=^)LpEkr@I+=6XuaTt5=Q
zX6TtVoWXBzFM|cA$cQUY8hq==_NRAL@C)IZ#I#o=0opXe&-&8sl%+N<HQ*josMH4c
zgjGxV=}0@MM#GbGbsx|H47i4|eKFlo2D|X`%`KHTx7wFauKmr|QDHs~VMt{}&xd;c
zy5EQr+aA%W|5@@6TP&C$0oE5u51nq|CUI4>=D%~o{&k<kSRpibbYQOs_gyZCxOIoH
zhzs2DkK&?bUxZW0*!_`8>t8+pJ11f6CD0bl@uh7LG@kZ5LE&Fn3bp_|Gb{8vg8R2J
zrFR&><0rfyxx@hb`nO9SvTFdx!It!Qtn_dFa6s?Fc>h8=O<5DRrKz^;nN+7*kFO>g
zgvK@m2ngP_dI6VZ;NTw{s5#KfaY6eqAvMsM5`={o(`6DjP6go|FR6=>>Jt@+=(jx%
zZb{rN3c)-|RF95U6G;Ik(jh93v5?f?=l<r0l39sNCn8XAX7nr%O*uORC<|lGF-=*8
zeF&!moAvkL0si{_n)P0Tlwq46%tEEf<?I;jL!;Gpr}Y|69|}+z))cZdM-7yxU0m0@
ztO3_yaF2YeqWnePrttIO{&q^qyF>;K@tAoa?GnxYg>3+AH-bO{PHly0F;L#8O<5sw
z25mC>ttL;8js+;<Yw^By*<o7HT0{O_W*0dpq?7Ll`vYjC=E~}di69WlK$hH1qzkN~
z9sTR@9+SU*vj-y(l(>L%P4Xo_Nb;4q(^)l8Bj+5b0pK!B7$r*J@()!Vpga#CG}kAQ
zEGnBy1&wTL_&R$+KBw*dnM&ZIoslKrj;WC>;Z|#x1N{M}wn4h&vN)KJ0u>v5TNR`V
zd*vdY@B#@{QstIYzbMA5f)|7E|8oh+ER)E&F=)a?Xi5#5Y_<KpQ#JGv8Jchrg=H_V
zCneKB{Es~s@oxZVTDI3|vhjCT0NV0Fy_Z~yh2JT9f8!}Vs6YQ}<(uQ*SOm&+#6aQO
zymBn~k87Z^%YYci-p%n_-ap2T!eRj((#X{Qc@xSMz{}3wZYAk|@Uj%3x?JNw&;4;*
z$ro#YnHz)zG!*|}=3L;?7k=6CgTD&|u#CxSfI;<0N$3myyC&$jF=b#}V#*ztKgh7F
z4UnM>Jvu=ZO3(jF%Qg)#Zd9xj{~u&<W&{Acso>s$KZMjN9vJuki{uxnN7!V(i!Vc?
zEOpsQFa0aIXN&;W`*|*54RC~;We`D4`5Ea1)UT;3E>Ov8A2j@`GXBrPMcAP-)2Un&
ziCjhVX6C)@xtw`MZyV;lxykZ7qYTZ)?#^Xsmd?NE=g$PN>LHf7YmSH>viLcXZ*Bml
z$WM3F^qi%E)Cpvh<%YXj^Sr;_ZUBn&%ECJhDRH(v{1M4#m_yyqHcyhqVwB4DQSzU>
z{QgUwuB8{zJ9kzYQbg<=Ro=~Q1}&ud_h5gea^v=)h!gZLg-~b#ISI&AXY`Z9mtWX_
zY>MUK!5^YXfu$P2MV1o(X$ROnIbhpcqJpcHv%?W8SXmksjVP{9s>Amtb`NtpaKgpm
z+r;-z5^ic65dL-r9Y?8Oxv15wm|Z8Xo0Q*J3`=Y)kewmd758~hm)c6&wh&U}n=v)B
z`(NI0Y6RG#mK2sgTZ9`$oTYyWnqykjH3cqH^<R(@gf{R`V95E4SH~s+HdXMxvTcH`
zx97gB9`Sap9`-Ih8_*H_@2bmydyo!2AeUeMYWCYGjG+N-7yJ&H{<u!50eZ91-ta>1
z9}>q6?5itWL*s8v@;A=+fLVf@|FwCj{Fgu&euwW-Amn#B<@uSy1=*b>M0rT#g3M+=
zyze7yx-xtqXZ`ZHj42k3PRbTgMG8zby9ijeIv)FfXVPF`I26d*)!-`RDfOcW11@fK
z$w3vbtH<lmE0M)*EaVe8*Ylc~82jWaAl0t|Scn$d-)>J^U>5OZ{>1#4SA_8s%wc2F
z!nA)xEN;P!WNhMycY(wl5_mlj2H*LuEXIDE9mu(mX#?>n|Lt11ZFB$aBZW^#$FER=
zI3_ZP-lszn!sQ>Hk;W$4w6dU5J@KKD=qLdP+rzSb0t!a}e!mt5rIr7OzLVi?#G~^u
zlKic9zYb~*Om5XG5v{Lv)(DqF97BVzqd7hxeV%#g+p9=2Sof}mkQFjp0$}^^xBwMm
z&c9j%tmt2y_k|xOh{?cfsau)RcuMf+68ku2S5MpKfb14f1?aQ3-)HgqT@4<qePH`s
z`H7Ds9k&^vojF1QTE@M2msa@KbP7SAcF>~rlr{*C<+q74s^FWQ5DR8X!!$F#B%_^@
z>X3uX;W_6%A0_F1t>(`pRCtqdpu^N+CI{e8a8O}x6Rkq}OT4uZm|Bi<LL4WOEnp|N
zD{U>}rWu+C&M!|%jgH&XNU_99W_Z@Vs8U1tFIRVgf_WxjRgT2W*2Vvs4o8$om=F5m
z-Ljjt@&)ViGfQf{_E7~NaP_BR%#-nx!SI04uzrdm#pYq+3UY3M*Yhy8)x)&4|0c&z
zutT<!q+C?b<(@565-$!-S+pp24fY^;AXP@caK_=!^X2K$bG<s8&jvJnB|r~BQsO<p
zQvYia9QnWmqGu1^1*l|R37(Z@b-&$Kv^ws<{Ek{nGRWS88qD?NkivqySR?~#+^%6N
zJpNjJF47n&(YM1)B8KFHl<at;e%3rl0at?F-NX028PBe^{cw)=W&F+sU|m3IKuu=Z
zv*3ikY}9jIKYQ*TlHR_p5TC}9;quXRuA7waj|WeMlJBEZjxmhvlhoUYX|qKxp^22`
zt)9PAq@l8wD)(~nau8mPb??VE(~%$LlNMmWHFv}O%zPc5#mGtB;P#(%V<mtf4128G
z*8WFy$2MShyjz=6Lo&`Nj?YwkoZT5cFwP|v@LFixcntVWPD{(|l01PtB@MtV>rhtw
zheUvL@)U7w=lT0cB>tHfuih1mc&In_?DH8fyS+M|?l&RC*Ym^$JVSs#u1J=j@Pu%Q
z{+nrcrI&#`B@#go4&3JgZpT8m`>LPKw}9Fp&&9J$px`VAxK<%ygSm0P0w`RGx&w-;
zJ%ALw5{5CAk$75FpI^oQ4_9viRaLaLfx@AsL%Lg}yCft;X^>9o?p8{qLl9|@QbM{@
zx}>|iyFr?_j^6wJ``#D~hkDri?6vk>Gr##wg8|^_xF0QclRC@EcGfeCLKJR%i0)E9
zuCUI%--z-MWfy0Q%X}lbc}I|4{#+K?_K8jdd=2*C(V+hrcQFlAtZjV&AO&6FbHxpZ
zf&gYTeGf2167)N!@me`DFn6F?MEV*avaUfZ$|<xd-nt85Ip2fUzS!Ta_|IUz@jI?k
zJRBpb7Y4&5hVb3I_uP+Xl44J_wj}V4`~!!3uJQxfkB0wf)v8tq_*HL!kQa};8T?01
zhWR0D-Jc&@F@4wpX)3e@-lfuKorXdHG-oA%UUJ~iNz>e(KXb`+1+C(*t_k!#{1w&)
zVUqdm7ZC__m0bG(e!<SPN3Y66h--~X=cT;9xMZ_6ABN8$@26V6kNQl~=m+qFtBL9v
zR0vP*S@}%*Y@tAle|nwVKSAHi5@1F@xBdow22GpE)^?32T~I(c93ooC!06HJ?j_NW
zJ1DFt%ob$60B|2;2lSh)1MHmQ-slg~9e~%hZu^At%oprn_L+cpQH&wp`Sn)1K~>A*
z`=bROSoSiyr<Akn_Ikg(5_(A+uRkge!?y^d=&JpO_Fof%?FbV1$}9OFp{Rdr2r!+r
zD)*pfcLI>PHz2$=T&ge|Am+212WU&O3q~9m1J?;P_@S>`J4=cHlv=h5fKfxi<X()U
zGtDm8XRigIRH1LCJgKvmRwRPP?o+y6))WoOvR1G6m`bxYcbta*Avx~qpXyd5d+hj*
zaAo^2OhBdxQT_GR?rc&Q7^hvRTRw;xJ@Fsc&EE^p12oL119&p%;`cio`_uI27qHKL
zATPq<vONsCR8BWj?4yWlh+)nm4uP-`1@46YxPwI^JqEDKqIMEFm-|jOpR!#u%a;>(
zQ3DYu@qEP994V28wYGChMsY0en$E#Kzixj_)Etf&w^gDfh&cQ%tTF%5FD2j6WB&6M
z4C#*4!p98&C1C~!*Hl1d65yQvs{UOm!@*PmD0VfG!&n{AKY0IH_!B^Jx6BF-4nQh{
z4=a2hAI{-kN!?z&=Tj&s6m0(j&FybL=mACmBBA?*BcFt=up}hwtK$`hG#3@^4S<ve
zAZREMvcmSq9q8xg`C-lAb+KCokW5poWBIbi794to`*a^yc=zpQ{QC~;FN@*N<n%Ar
zzcYAU?pJMcTC-00=D!OFI$_FQimdyIJ{O@@KH-e#l0u}X?5_eWMZzk()_>J>9*sY=
zgJwJ7$&1_l3Mdeq6`)q3Bn?0tL@_BOb3eoBhb*Z42z@^Uz{o+0ulxsi=k@_s_X-Mt
zHSnYu#Sq$$p8N$EA!uOeR|ht8Au-E(ZzPvz`hUkVbZcyG808f2Q;&MzUefIjn!0sq
zP%m0?<)ZJ3hMWx9G!Kj!$a`6j4t##Jyr$E*+EcCh{;(Lpd%JEWp+Qo2-n012Ybfo{
z;JI=5?316}OmByjhr{2Pdm_AH03Lh2gjwK!oRN$a1dJEw!$0D+!)8))<#n+5IY=gf
z{CWU(hg6W4`@n(&GnB{?P|C{_FjJwDoIpk9)I$a8l<vKuzmDT(N>xNuZAZ3Jd!uU)
z>-SWC+xUD(DRoYA`QauHBMe+5H?p<#If45LZ?^da>rP+#hhUgm#Ul~8TXaxst*N}4
zdK5tv{&<!8<o4zAstdqY{C@~bG87PU6w+p2vz6wLA@aFbA)*tz0EDPFpvK5OO3*4K
z#EwK-sLoWOg)u{oFmD3A;!e@<Ke{P=?*NwT#P{)!Z=KYKjlh-<)V^h%_zeKX{Jf7_
z2V*VWk`vduis8l-^<>-rTv;(iplXKDwgfT&Rkgz1v+;j(6)y46#5lC$A8vW@v}o!8
z5Dg!nr9TQ|!kq0N(x=#z-ySx+k_YlTAu~=0k%vX(I(za1op1gaKvPW*w>1N6lSy-?
z!b)s!`?$4*!{$fpq0r_)0{!XH(ZQb29_7ZyvgG%Aj=!Hy>G<5EtLw6dP9>tK(GMI(
zRM*M_JOtEVp81?{@z+oSw+)Hh!;g48gs;BN=ddXo;o%Oz?$2{Y2kcw{jWk>Hom28%
z(!-qQO-1^BL~dXO9gX*KD-ze-SrjT%-S{So3!Zvnvcs}l2Jw9+=K1N=X`>KHR6Wg3
zQwfm7JGtMyeul#t)|=<IEO#QE@Qu#gR8lQ8D?Vn|+&XEWv=UG>p3Ml2O;ytgHh!@!
z2(kvI+#L82?$xDp|GJ$_V6&F^mOfO(=vd4#!6!B|1=c=AePjrDmhV)d(z(hl&pmYR
z1DY2;hh_lW|7*cmC=(19_PK)4flKeR+`FOb-a9&@KJj~`u@DRtKO#nvoq^Y~n3~Bm
zMKhby?YznC2c1azx(?5O4y0q0n50;*hJj%A|4k-AT?t|>$}9t~N8-Ae>Y_3D2hiE^
z4e+!yD)L`Odmp+3dJfPwwhZw6Z;iJ=kA64crO~KrSqY{fk9jxo<D|oBLMrWR(x#@_
zZH(Pklv#h0<KfcKifu~)x}NvARkjD(mBgO6$KCje9PYv(OG7>INE^XRYNs$F`5S-?
zKZ8g&r?qJZMf!lwz?_0=EBR3E=F_;6jx2y&t^Q$zou&`K?9XlnY;AkLK8s+M!9?7O
z@6y=RD@azPUn|qm9+$bU*c$XP8eJ=C6gZL1j{2@w!1hb}J!Bc<^C(H^Y&GMs4A7^M
zF5I@^P@^bDfI@ihhV7zv7<5wOee<^Nqmd!ki+bgaICX7HfHO7zvIRiz_aHx2Jd4q0
zOx_(S^{Jyh7}EgCTchhd0GKnr@IT(26%@yD0*>_bQP*$F=q;ZTA~?**3uW9519STm
zAqYsON&YNNu5~?!d4!!0LRennvw%yT`@2|N`caTgZlucJ7&IdrKEg-nO?gc9*`$vB
z$tpGZQl#_&P?U|h9)OSs;7eBl1CU}ahdoPgl{>J$x4=PZTLP3ki6QQQabf6bNJ%5^
zm1_FUTkZ2Ad+)tLAp*H8$({sGnv-^l2M5q1!O}Tb*Vfo@1$0!8soSW=sy@VU^CLa>
z4)2l05Ao+G_1S!8zqken=d>(`d&N&?&)w;l?B=@i37?xW6xz+X>B|29ZDk%CZ1&QP
zAo+zd$;aRJK4&TULhfVoe5P2OBWzX1Bfws^T5LfzJLth1kS^-z0vcZ5suf`P2NJh(
z34EYEFJFh4W{|upbYx6r?tlkibk3uE4jRoIMqe{<sPQ~a6!zpyl2abM4WoF!&#_qF
zaW@2VUK?sqq8N5-<!?0{rl8txY1HSa+9jXHVS9zO`B6XGZcd-qz%+bea?y5kj_dLK
zN?uXH%V}_4pa4zZ_4CCaLu(g^=$~0<+c}%Ur?BjC>(<}rDtM+q=DQv+N)^vZ7<c|N
zw+b!WHHR3l-8DjjT|-$)fXmo6mDd-qWA|E-+4%dErZGDHuj4k<btqdr6u?&8c>0DM
z4ch9EMay=(A)(Z}1t?R<gxqXqdjM0D?%E4!H4?J2^9UlY9FV~KG@4-G<0-ieP|90S
zKN##x+ON`8pa>m6htNs#kLe!E+_Wx|h+s4#71tE9xTLg4fl=GJ)6^RCp%hX3lcw;a
zs+C2_M(3@8gR$E**_np)hWD!}sE7QO*JH|YHqHo852s!lcsSOn3;(2k2O+`-(EJJ&
z!#2)u1F!8D@F}G~lgsxf@iqd#7+POA30ed_6=|$XP!JHb55uVZd3}iJ?aa_Aj-fOU
zE|u>Js)2<i_488zCc=j{pnump-u(Vm0fqi+P5@sM&e9h{@*U7@TLe^5z&+6Xsdv^T
zzb>Ji8Vj;e#7Vxu)9ip`^0mtRK^e(ltJ_xupFJ(n6z`hsBM*Wxi53gYOG11+t^Qo*
z+P^>Fcr~Zx{N8&GWqbF@S1GU-=2yL5{|rs8--x~Y?$k^Zlq4n1c~Icwbnz{ZpdKbL
z&A@RN5)#G#yygSCy6!<Y&@nhOUy3!JaNS*fL}gu`&`Q7VHz(XmMfF3%Agw)Y8v<?}
zIp$4yuQjTu<*R2g^sUsi3T)_RkRs5xqzo*-ddL@CdO1pQMxRM7^D={*EDFzc?3YIR
zagrF}P^u~5jk&j@^F^Gdowy&bqHcaA7V>2F4b_{g2;a&T@!h#k7)B8`ImwJbOc%cA
z(GMN}hMwb^ZDdR@EIAmGdGOO@HU|X!c@n@)78GVwe+~8eGMa#9*xU1PakmBPj{uPn
z_qDWCyrvOK5YgDt8#LW2s{lmwn=U>;bHqD$2bwN2y5k7rL^R*vz=(npjht_1hJ^^2
z7qG}wQ22%XL>|^*!uCtjn{S?*N#`=L?ZP@s*MsiVqH00iep=k1Z{iy|VBAkiNrv$N
zFD&b6**O%=*IunNt9*NA?80$o7@5N9b`_2NDcRNsjh{(kSjc!V{Gdd07NVAglsLHV
zL4*@07Y_Kz#R5PomTwxi3W_NPiC<>J^SRcHjU`f87A{$DV7|;D=4R2epzo>tR})Ls
z=O``ujI6P^n4uHoLuhXh;4aFUc%32&D5%&?1a0G2dO`07ra{sy6Q^g?AMmQ0K<5!k
z8<YgCM;8!7Bw;7}7<zrB307F%NHF-;Wcp2oKG-5jdHB;zMAW99ymC(L1CEaLu#j0B
zp;2FCknQ{+Ol|uf5jNX|ao>@S_btX!6A1`;Z?Lz2UlGw8ZZ{ma5Aij(-I<n)i_D9!
zv$@j!?JZRnMK7fX#*-KJ;ix~j)#K!yE~#oFX9%kg(kej)#^WRTL{9bFlo=zB9po2G
z<MB(ySIk#cKRtM4=0boDg%5kx3{Ubw(wZFBC-7=!r}6Ss{asFl(Jg#E%P*?@v&+R5
z9s26Vm9jn0sYB&CGWl0~Lq{SN?d~Jr(8&dM8MDsAj~YUHJ^(c~Z!s->Fq6Co;%$v5
z4vvIVK8|rc#dS)w0|p|xtX)!Tseu$hi_>uPaj&|)|0WZ^zRvJCmn}$a`!k_2cR@V*
zliR-O+RXgVpxQ!7QqdC^tMk6aoy?6fE1q5z%5SBSuwD5QwF*oWYw7uN=dvXClfNCy
zh@ZH80fw8QwO$Jvl=wTLGOL`E$kS=ExTh5Tf~3($f7HM6-!a-~zS#lvb&&|h-;O*s
zF&>ET-DX8$`3l8;Au|)M?Ekj_P!6#T@u?_C0VVb~upjj~lTeeXhCA9_ajaA#Jz%Z|
z&C&gyV<rnc;f6L3!I8gB`3_A+43h)XbGcnt3}Hc$9PVS>M&>at&j0oTzn^m~GCdFR
zesr7)p?yJ<!X1?N(m=9(ex}V1N{gbDAqV^nQ$g*?DjNv4?I=qBZFETRwP17iot+K*
z(+uKs8KFmKK5_*2A~6D}i^fsg@Ha5bGk_Yq7rc{&RPfZ>KXCaW3SPPmj+ETa2AyNg
zBlje&4ifBh$l&-wsr_WTP5(+g@QcsqpnkDiwwPoiK;#KNJz+nR-o3dg9Sh(yICeAr
zi5)BYihcfq$MG{*Rwr;!^w16u|Ct|UV1CFyhq+ow!hT!~;1f-Z2PoZl$89C3kP+60
z{kqnVM0JFrWSF$C;_7QL4nb|B9;zO7rWf-6Iyhv&!I>OsEoG9YY$@zJVLv7tiiisK
zZ{UA0aUb{BgQgHYxL&x*!7spH@&ZHQMF?~I`JX?M53EGW&GFoo9gblmhjFGS;nmHn
z5_1fu)ghW!WD^L+nHprA!dV8h1I5>Uu`LT%q)vP%4LS(P&_YN)W^*LeuT9nk3;6vA
zJAG$|mw}tO97}k$ddqraFM3Rc9qu;T5Hr0%1yY0F&E|_2TyF9T!YK2R7>59v37WKF
zYQtL>(*7>v7cy8zUrZ^v{Iiy^X4GzSwh;fFh{!Gf(6H+guEj`63$il1h!4Csw!OYC
zyxRT<5O0%ziRcUz=rWEo=GMJ%LkRiJ+E?`?BLdAVTq2^P`Z4m^7aApJ_rr^@&AMej
z@82F^>F{NV5rLFfpT~G%#ozC40NQu1bF24>OR88$OTY~#{pv<D2q#C?`WQ`Ls@H!+
zQC}mIvYn$+W?gZSbCBw`_gcdy`BS%49aA3<L8k<g2ZJ<1|2GB0{LydZh}ux=EvRl#
z%8_xn@H=ykNq~I#G`0kR9Im`ge}-v&V5on$oJXDqt=zoquxtp)uO=I+x%5=}*4;1h
zb+|yhgn)IZ7ot^{`76z5PzFW;!235i*Q5i^P&EoxIVUzZtOI-jHe&a%>8fVd3`lFs
zvT^tl(C3t~ZARt5JdQ;6YZ&dkh3)M?qzR5JZT-g&^<Ty^=!^yKe6h!ed%hWy*xYm<
zFVH~?SO~3E5K@XjIR>l4i~@$<Z9{ZbNAOdqUTE|)rSGd9zv>j$_KjPlsto}%kA)$4
zNJNoZ-oLDx8DTIS$2~DLk^Tk4i9f{1kg+zv9n9)CZD{5A*boreL>O_#-QQ`jleLY>
z9LKee7Jiu(UnkAZSB-+^zn#Fn=pT^`&!8lUW_av~c3s(aDYA58UsK-0@Kdi)M}{b@
zd7#zGcmnvTm@3rjOsrG`QdVGfj*toAZWYD-ZwNG}XBw7am&<UwE_G7}7ZDa3tI}b8
z&g%FOFG%N&-+YdoT*`YOu|Nk|mpvc>4U6+H{<;|BfqongdZdWYGsUbSV>$8-E4w5Z
z0_)K$?b4O%)!m;<t{uM;@mRer2!ygk$}<iZpv>9C{!0=d`-k`kW01`jBrr%mDl;nO
zLI81^&{@q{jl!Ne6kYKa^6g00wYISEudKa7C4_UY%$rlqph4)0B>4l9k>yekUk-cZ
z8(6?TK$D3%!uz~X<gyYajUifUD|@~e8Om{SIVcD5sD)J8v&j;J;Ul0w5pa|`JA;eB
zjs@X>9m{LCG$xjUw(NU>%%ZBbOl<7G*&VY`2}R`A_?wHi5Q8;dMikED&F_Z*KF(SY
zr8~1w2H)xC{3WPdg$zRUpj`&s4K20Lj6t2E8&qEe|2$*XUrE&WZVe|*Sy;Gq&jbfW
zQS|<N{dX*x<xJr5;TwM@i2H&ofwRE|eze2`$W?v$3rl8HQUb@E@@prag%#{#gGamZ
zl)Kw}N=WWNYM1Z69Vqm)2cs<+-@gbA9#g@6;_?%`iQLnAM}#L&8iB(NWh~Q9yaO?i
z2bi){P(KbGas$u_5*gOFwSe8wYk1@KtYK)se4CG9(1)%5h?;sux5?n?wlHk>OLssC
ztDcbobEXIK%IR%1(h)KRlF4@f5@eYVgiZ;73SRu3z#*oJstfew!ra4@xdO?3zeWAW
z1Ej-6xRJN-?R7+t0VBuA${WD5yK`(?FAkE4%OF`wA?hO>w~nwN1c=c<c9h~Ny>}}D
z!LbKK_E`n!upjr7DEtO05ShTDk&)vSd<QQPe23J95{Z#vmmx*tHPwX@(cUmEB%By-
zjPL1!s{E=k*VAoUe<<%B=z;zmX<xsSBg^*7Wft4g3AEdaI5BcLt@ns{H-42DhDty*
z*acJ$Eg1mp-u`%99M;Z>pL~PIX8#&tmTg&c`;w#{0RdmlaP<3YknTaW2K23lfZ%PQ
zNCD&8L?!4;-H*R48`@BQ-MAj04oYC0MW)o&ym3I`;#KV1F2dT^7?lHs6#l@~@&R3@
zg!~T6P!D+8D13uS8snPz2O6ET?BBsrl}yXEG3uer8DeKo<Uqctn0Ux!+*OU@`50KA
zAb$O8O`9CR_1fax4CT{|jO02^QjCNEgem|9BTvKW!gWhQ1rAgf_QHU;fbUmT>+<=_
z<N24HH^UzsSCXscS#E^c=Pi96a}A*wdd-WwW0{f8#uu!HXu3zQdT##JQkBHO9bmpl
z{WY&p*aP9TFT!6%@#L!>_-Oyt@Xd2*w%jER$l8=v0|WF30hEI{_z+iV;rriny7q(+
zj_<In>Ys^^WCJJYs(Tv$Uqn&}F6{QI{|`TKy&Sl(FK;2{--SRM{Y9Gm^9^X1-}|NP
zSj?#-)GHbO?u;j`>+jh}(DXU+fm=+xzPZX@OHVwPBsg5sdp5iS!G;58YAlvP@f)AL
ze(uo_*}t@YhFAkw|D60bB6#gD4a3!{=id#G-CP_d#M>-ncYm_PW%XYEqGdnyCW#*8
z#l*t=p=r1Bn$CX<WgJF>VEEewW!sQE-B$58MPhB(n{B|kZxT7Xxb1q}dmuPu5JwL}
zC$8?kdGBVaHlGAZW5eP&25vjA>+bmAQp)>(rWOqHLIJKOtB3~Flk<OVFJFIsBFfUd
z{>0aNH-3ES{jgcOuI;uJO#=B$gT_(a*`|6is7r1<r9@mbiIoRdOly(;PV~J!#8l07
z<53mQ@TsaA2Qr>23KJzGvIY0YkYy|$qf~in+OCd51@71G49^RK3z>Z%70fT9T~ZWk
zIEZPww6ZfC;l-t-0PwLDmNCbOJS;!#`Z0gjNx05FPs6_P=+}`>6*;Id9SYojILzMl
zK3X)V&|-ynzF7tdOHg>2t#w@c{yO$&K>>}qvW5oV`^$YmQ~@Yj>%M=dE%&#Q6oU_o
z^b>CBbnE6Z!0tixN7%!^Go9g5xaV9im+$ki*O)C<4OW;b6*CSIb3@7SfByV=g;0((
zE-bc1h2>aIAS!{~bm<Bxg^9RqEBPVwj628kR-&a&WFm)%IpRdaunyi9YlVveGyd2g
zEkxp`&F@kjJmo=62?0NWG8sBGcEUbJW)~M1M~!C+hGFAMigdOXMEnI3*jWCnw3M*A
zsekk;@co&wx3wo-WrnB>h#WWac9qfUYVDNc5hvOI-API;18`!1VpL5iKoI%<Ib5(C
z{hD7UF*`h(rXmh6nURQMf$qSu<UODV&ncTxs5gVz^*9_^=5XJpq0zL9p@s#E4gK*S
zM~NWju^P#e(y6u)08ps;I%mD$ulXybpq^Lhc)=9nhm0ox>**JM2bZxEE{2E_ZD-Q=
zjm6G)JZ6IC)gQ97)|2rnWbj)dVkg+k_UI_ZHj91nJR2#<U*jHj332Y9L#T%(#mEi4
zF~Ht)N@c7Vwx`)YP~1|b4ciXa;&zpxU5%=;>HtG!nZ?EP{pRW42V)e007?)FfR#Gk
z=%dM1cwtVnr$z&zR;q+whh?4BDG3c1i$^Bq|FE3R()W1Rip#s0aTrj+T^fY_?|Nbg
zG+EW)Cf<y}GfsdGC;t{+l9CF7(}MC&g$Aq}4`ttCy45byWi(s$GhV~!#=m`~#-bdq
zvYrB3{<+d?^b7wtWMO|d0A-o_5ys+%IvN||{rtvFpg4TVbt%k;c`VCpuBpi9SMPr=
zkH&|XfAh>?bAP598~<%06l@C>Hjs+%4f%B;VvNWU2fkf=L$y2c70p78e~vGI9F*nz
zZumWy))j|kIR0r{@bcY{h=1>fkr@InteDC_G7#!yqEsnV@Dbc>1P7Tlo>3bsxfcAR
z9+_0wWw~dBX5*l*MEHUU?`VZ4cn;9<6qqgk^h~+5c{3%p`wAZHJNWqkkqAN~VmE9_
z=CSt3-A`B1g8pxWAAG3@3V3)+`cjW}BlWv)LLO}`KmBcGXOnLhW=fq0bJ^HtYH0@o
z@`e5hOcvE~Z<t1+wfCCBL(Z}4lBR*Oy12ZlC!HuBQ!i6+8i&pO%|$G|JQFcfavpfd
zJ!Bb}ny3Wra6e?)mxcp_JicCkd{SG~HWoB*8oZZyt0mv8zpVQA*05mHTUP5kUm#vi
zSH7o-D=D_YX?Z|J@25H{a4&Sb&<k?)bUq`YnTsUVR9j>EC&M(9u!V}yt;s>A^diA1
z9(sGUtMPZu84f6gi^}2W8@ZNY3&}nXmr;e}oyrx>H4t+)gu9k;?%Pi(U)h6oLkO#_
z>%Qmc4D?t%dpEsJ2cbSDf<-a(#{0K%|Nd-y34<M;`-f|1E(g89(qWz2h^0rs@Q2!|
zNNI0c(lB$tNK1Gs&Zg6ELnIjlY(^&_X;Kfc!{<_eHy?TrN@jS?jlI>>Au{fFZObTw
zoUv7n-CA%qOaw3bF-?hSzRN32*_CvX$ff5b>DBx_cqFhW%SH`r$t8ae7&v2o$e*HM
zGW*5|<oGIvixV)@jZAUN@TW;FT@2AnuOsh!%xSrQB_VDyb9%HbpXG(_zu^JzR_dh~
zq*lhRGUpjo3H|$_qVwZUt8+o@!aj~T=V4&UA_y)`Utkj7Q|@%>!Td$#7n+fy_@Nn1
z+`gnRF+A_myAQ>!zzkd)C=PDMewb}W^?x_>d~JC1@m6l5KG7WhXEPfAj@Af^zUkes
zJIa9Es5CRGNf!muDrZiHg=SVfSnQrxU~{fLrc5gSZ&`Q{*jyj*yH*YO*L{9toD#aN
z1=S^jnR6(N`lQV~3y4`^`I2Tr_RiXfDh%K$JjF9?^);W-{NMJ9!9R)c%QuMM7rc-~
zKb)ylbk<m7#bZmO@rs$LiE4-xKf%<QcbyGZ4F;FLqo;%=-E5$l`@dJ5!H&Xz@qX@#
zg7S^l$@^~WN87StqGShWN$!=&szMHWQf*>>iPVWA<WH%7@D4rp(fzpox;T{HGOWR$
z359GfB?<GM{5v6^ke5I66bYG1s#cpzK702&epDcHFV?mLOOYk1bvws@Cx}yg>i1>t
z9{BRp&){Yc3tU>v5G@+RzOr&&-Eg?Tfp7Te>Tv(=CIjiw3x84FW3Jj9Gr;+_qM*#@
zFs!cou0@r|)Nz5@#33k1wFbH*a1cnVg{a?4QcA+x(1aZmN^X8RCZv)5x5O_rhPU@$
z{Cdf)2M6lm@X>{hf1~MO%I#Xtw^j40IE{^{fqPs_i9z_A4-*QX`WNDq7SWUon(ViR
z_{Jmg^OC1QkEs70<?`k2h9Vk%1&+r+)Wi%Q*@$&Kw>_S4bh{kwQtv|}cNRE`;qbJ6
zI+EWJsg=gzJ-ErgTwAwyMb9HA{S}$lxGg(YtzA6|g5n>|xcAgP2ocS4m)?8lFX+qa
zy4=aSr~~r_1GEM~i~KmABxL}6^4KSCmYCjya95*u;oXBQSdpwy*}Il$foEtkp!P~7
z99)r{rkKWuGsaOcEP@|g`87OD9nAy8OiQB3Uy{-Q<(Mas1(!vg<<^<<^g5mGD(Pc-
zg`z$UQ0^gOUMLwJ154IrQuIM%LXy_+EAIX4dgWfi^r6ga2U)Q}JYQw#Eow0b09h+n
zggGiOeQx=1^D<h~Y|6Tf&se@DIjsCmx&G@Lvqv{;N$5-Kfrr&G2_Ij#e<H{==KBUG
z6_Pb2JW3c8NV<EZ@Ns)w4*v8jc<tX7`IA^60+bH@D5UXftpZ{hRR6^J3!Ncs*JUp4
zTb(1L{_!#%!XOwkI*0PJF<0oS#lbrgJ&Y{`C+WXN{Ep6WH$jc1)>n_&#c7P{jfL2T
zpNL+8kn47(>ruSx#h!+(L6WY9+tVfs;Zc4cj-fc!9i=I-_)kgTITDYeY=D3B-<!Rp
zG_<yUrT*E7lRhXmWdisf31|(KmA3i5*YEchz1^-WUVSFNc&?)cWU^lZMyF0Kp`Z+G
zBRQ~hgV`x`s{eN;DcMjoEjU=!3l#-N#<!cY*<NgLdQH0<QlO;9v@*Dfmg!kGjNEta
zzbLgo3=?>reKMem=Q2v@nu)xQ090RNtvsg+{7Z4a66UJ8l+_N-w7O5nyhiI+WgWDc
ziH-lUlQQuzzWmcBJw7#KuSR_(v3`-b+cR6Lo({JmxgRabYmm*kH`?A|&L&ig=5M{u
zM>g!w=6g6~d?GlLQn)8cX%8fAYoO>$CUvv~q;SfpIqZ9LdF7;2Q^>J1GlnfCO5U}~
z=&ZuH{$HCyNel1c5k`mqnEK|XfDB#8NA!`^SLGJt@YZE7x7`bUZ=#NX^J;k|;9*8R
zPI+gb&(Hd5FQBy-VS&lZiW%Z5DRv99H8SuepBl6%d|<d5XcQ{X@qvpqnZL!KPw4$v
zCKfFC@5M6GLT)kkO$F)b=xo0jK;}EzABLyTCU3gZ0zb((gTr`?A_H^F{T3e<JLDx$
zzdOoS6`EE5w1Y=x1-}^whU<Dy43G6Bvt}vfr&#E)8juURSq*19oX`I(zITXe>91a>
zS!UXYPguR%3*Z(LQ+x=4)mO6(?ng)zA4<W{-ARlUFa0{FjqU+95&vS9z?am9UYxkI
zUmUjm7px4cEdS&Lywd(d#YWqf91cWa6&??g#{awu&)<la-MiKMT_P`WBH@0%ac*F1
z;>XGrC@KsLz91ncPSgV~t0Mo(C;Z&H_kZlHmyG)I(4#=S9TparmkWs_<h5UH1Rkz(
zGl0Xe`Cj+=BNn~*ULeVAKUZy=tB`g#7-J4bZTzvuVb;*l0I-J>6kY}U3i%Y?7hssh
zq&XP*1JEahfVrQ6vjYl=0EIHwy~zVG^+O0yGuOeh{Bm5A?y%C*ngK{0T?Ru>P{P|k
z29(0Y0#4tB;tW?n+`m*|ju{EM8(x4w3BE+7LYUf6k^OmJ%0pl7A4~dtYA=^v@tQt9
zHbrci%?P;>c0Hh$qV<8++1bcnl+4ILHlbQlTWt&p?D_^9Cr>1K@kYoWgG`WLKIHVZ
zBuq0HSrU%V@@DqS=;$cL{r0Pne*E_!iV4m)&}P-CM&p<)&?w>8Sn2fvynYU{(zXFP
z2h(M1U<M1tMWKO~n%c#Iz3*I!*67_S*ad)UfO0RoM4o_d$Esek8-&A`x0eSiOViUK
zbCaSQy~xVnL;&w!h5b^~!EDvB`#c45%uKVd@04OHMB>Bw$SZEKW1)dZDA6ZKsPvwm
zo`RmCg@uNJ6uySyTCHMI#_`F?<X-e~=WX3?If||r^ukTRiX-{HTd?4U9hco!OIbZM
z#u5*Bc51N-$#Urz=oj{rO)=E|Xhca_YW2Fn13G}$zG_dpJQ;^ZOXS$4m2@i{i3r*_
zEw7g_J_bX_%4jA~h<un%(*|>406AU?{<ze8Fo(l6Z^Ob|TcbN9kJ)`-^oQ&TUwu12
z!d;SHy-VmUv_%9|^)k#?e`ND!;IJ`1Olz7~sD9>umDNoFg-Nl8F43!Gy{cv?pH{;l
z7bcw9$5_LgEY{omMtSTBiqH#gD4b7u!r{`Ft*nkwz+$5>4;_|U{0}V=_y!*n>v(<q
zGxh+R;AF{3-_lhVAFZD^rRQ5Wf%vkS-h2{+$>RN>vF6z_iEf%#pM}p>#=?9R$nw3g
z{HduxG)K#)J%;CRg8YdERfhN;@%M7inYBZC*&D9b*H}Bm1#}M+nz<_ZuXyMz$n`rk
zqdGL(_@B0C>4)Fm0K`;?SFaj1fmY={hK`O{UX90V%9ldr_tmy@$o_5@;EAfAce6Eu
zBwsOX+VN`imB~3nv1RYJ6(zH7?J!S88(@aqosvuD{*7YTtPlF?V#FG%4~ofL_5LU<
z>}=JU4i(QoT&pI2e?R!?jp8h!9wQK60U*9f#s%M`D34Ia?Ml!mNNN2fT!lUugGo8@
z@C4@%08JCM_U+<Uu3paKFq%qY-zh#<+k#Iv%G$~*kM={txq@4~#{#GpPxc<(gIwAl
zV=uj51}(9#GinWRwd_Xbh&)3JTDupsYJWJInyQNB|AJPmds5Zt)j#uC;u=JsT`m7C
zD9++oTu>Cb?$FzK!l?hDXETAmJlW60ohb%VkYW7dg(Fj1h+TX}_ihp3u+b#=DY6AW
z4NK_x`^e$cP)p!x?3=lGeZE~m-u)lAylP(d-Y;8eSfWDSRSMuEFT9<U1s(<^P@e?r
zwiDkaDPO>kKFy0Kw;m<nPhfq2T0>#vhiicPW}myQJ+(lF@~g>u2k1yQ;yo=iz>PL}
zc%~t(#eucvb}&1^!tH7f7YK)han+|Q&{w6JBUfeykPW4D_|oYOZwP$kWJ!w(k*X>6
zg;Uo<tQ;lx1jKz^TeOAX=|>u4au1syePRa~bsqiOz%+ui*>~C4YX9W|=ukU!VWt``
zjxExuIh-zQCzEFBAh>LBJ6L7n-YwLs*mr7M?v5hc^K%fQG=mU6@}gFp910%1spz?~
ziq{d61;|io;opZl0R_2!UNxAAd+E@D6pvq@gBeG!Ak!l~4UqZ-QAWw9%B4=Ds_aWg
zAbj3=cbMy}uXCY2s)xYZ!ESZ;X~G{7YK|DufK&uJQt+Tcy#xyc*vW)19X+gKjxpLZ
zzlN#c39|#0_>r0LPz8}nb^!VTi=i1ClJm5^X8in%EbF`ZSLB|bGTCaEA?lY-2)A5G
zJ`ywlIqcb}!}r~y9>}lGF6W{rj&+g#uVnnPyI5s5J4Y&xUQ%V^3vCnHL#3Xz3c7*v
zD*wiO0}SPApT}__+noaMB{)*o3|gjlht&PQ7kC_3C7W?Ya0rKb7h@GgJOSKk9w9zl
zr$yLm27mihZUyj~UX(bQ&TkI81;-%FUjTrClF17mXz`qrV=2!#pYs5IIG&bsenv^O
z^k-yTED7Y|eftjIxQmc~A3>qF`R^{e^;Rdn1EE^`$ISb~(kcYp7Q)|w>UOr6z(=Hx
zCICL~*(&dE8R!<taKWClj3O+AFI$#bo1i%1q3@4thbMd=g^`zSqeYWITx$cMPSu!J
zc!d<Ugl|LqYZ3ESRFcaed$l?g6O6onh+BY8jr)q*^BWYtG0UX2^dka>9-jCWM@=aC
z9o>viSbpATT8G$btG*xg^@2+>StX7Eb1M4qjgJ-qEK%(HfQyxCtVY&i*@lGMA{sR{
ziq7xe|1B#M#OJ~MIRoGQqMldE&Bkfj{m^pvQSe($)G4-eYi%`!gqR}Yw~>EcUEpWl
z_VWOL-Vb^G8_eP$d_eqwIz)FSeG>{fHT4Qx$*)D19~{A)$&7i&s(AxwV#Qcjm0Trm
z-%W>b<idrHRPpvl5tt@e5Hm1^5wrckwJ)xreR6)eo&A~KF;nkj+pFo6>^Qpa4n*TR
zHc6K1q>Lqg2qCiFY7?FA?L~?2LP@BB55VzF73pl%yvsJkZTaqUxi>OVoss-Trkvub
z&O0qQ{KLz=sUZ}@N2ca}IJ~8b1BJ}21D_QYw<bIHct|=@8`d3h+*!Dvz*{ady;P%b
z$e!M3dlGckQk0fJre9}|1p=R%TFC-FnqpfbS6ESShc^Bjb>1*-(`Kb*ic#6Ad-JUx
zgGg+^Y3C-v)GEJ}%@P<&0pQotH`?}vnwK@f7m@FZm?Pl=pd7jWFFrZYKkjNYXA$}A
zi>>WbfbmHg!a-tiz6aI@X9%U&pGLx}L$UYFP~y#U7|m;f;^qC6GmF!EAcyxoZ#3E?
zqb~X(XH9n-Y_IH+rOvDDX+1mjgt<HneD7VSt{)$c9#zbc%d?f2J^hOm=>?Md6gP=g
zDfef-^N5cV7<?%6?Tz!qZ($fSAU;sY$MS*1Z9FBk41LPtspiC6Qeg1sQNR90owZJ5
zFPe^SO-MY?Lgm(n@Ro59hsJ?GplMNHh6Nf~6;UsL$kcs`r2tQeNhXM=7J6!uc0loX
z^=dDvv*r^;H!*_RngW$;56wmI^OD+ReAG`^G^KC@4q+ky2)|9ryWh%G$yY3+o`v&u
z&uw13`knc5TL)$u=9u2<C!_EMAAmlhRE}?8KY7`r7T$0RZX$V+NwxDy%&09>51G4l
z2){i7X&T)hhyHj@<HAFCVJ0sSy7(w<`?&A9H-G?|q5xL*!)xh_(>^vGIQ+=9HFW+k
zxSeEgf?onP*KemcET*8)r?Rfoy|tQk=UXsyZAh_j!=S(^5k=F5!?RTVD3452EnwW_
zwL>0S7p-v1RW!>jjdW12FcHWyMoR<Pu>6!?3}R;yh87<jI3}d?9qomDiQJ<1HH8HR
z%}ivs+&&_HZ;EJ__a^-IFgrI^W%c|I(<(T2m721ocQdrLMu@9S$KPz3yP2aXo5j+i
z-bnrVl1d~>JJM*O&^Rzi*jKq;{N~p(^9fm>PYu7Nv8mZ<3Y|(57`JD8!5M3mS=jf=
zR;#uUX|6bw)5nlD-LY#*(5#<u3umj)I=-hi#+G!bM|Ipm;`gJl{i1Me)%Lq@>JB|>
zb|Y+?*rO4uf>xMGdGLXc9D^NLyIc}LxzT$OOtDDofGpTk5m?>!d5+J2oRQ>vu#j9q
zjus0MEcsn6YPmT4lgO5TLEqOR;``8FHHQo438H%i^pAzTN%YIFn1!ZN(Zh~L1Vp|4
zTQT_jU%W?YaD6h<m@p}k(Z0UfHtb`=K1W$5d;uUnUA*6`xR_%kbpa1S)K2^L*%oeE
z_zT*v<p}+ZL%>iD*OW@ZqSd?n7Un}m6H_zFr4X=Dk1?KkGTee<KT9|hia9S_kc#lq
zsmWqb;6aGh@jcqgL(OV-7m4DggMRb<f&Ib;|L!#*7S-o`k6ch(vlY4k{I;<#DTiD1
ze!O(VVIN8H!gC4Qjw~d9J;a~qIc2nrCazvXjfDf2OI3%>DFOc^xaB{g>1M@IOOx81
z233IKzK>DEs9W}J<ji}+rTM4MPt1RM^5BZT<jK%j0yJiMs#HId5`1@W_DX8xL-Sl%
zCE=M^P0y!6$@ISKq%Q_Tj<ocANZa5tlgAnflibEyWWlWBoCujAO7Mxkx^v|!Cl73d
z9YYjfIS1z)%Ch8lR};+q@zUcYwW^0f>GRFlR<kWqGv!K>y|1bYjvM%>HZ&jFP#841
zUgmo;Vm;#6c^SeUTMw{Z!K*9X%7oH5EFj`&IkG_~CpJ{zd1Re{P@p!?-l|rdRWOZN
z7o=m$FF*8y8qM!B)R(I<GdL3>U3W}#Pjpb(-7r?7<yu$MIlAsf>4PMUQu?9xO9+JD
zl{9L>)JpsC|KEt(ezxO>@oiL1<fHiQ=q1C2@M{RaMmlD$21kphqbf(&@28U{SyVA4
z%4Z~<L?4HZm>mbrtp$uakkxCx5QKU0!dLfBK3V1uKvcMXB06~}E*FVV=0?RO^>z(I
z3Y~iJK)DU@Rj<1-7}YryO8pe3N4Bt8pN9@X1Vc0hr&!5uV0S%24ZzsJr5QW3$~Q2^
zxy}R)Fq<&Jk{ED8W>gD$_!g{x&Wy_}<6ULQ+1B|?8FY6(E%=>0y`@6okDr-?5@G*x
z)U33?CMHxDZZwo&CRZ7Tv$_VFq~_dkvThL=3*28^34^sCuJC+(xQ?Qt<v_kRCvi(d
zo!gWn`Ud^Cd<@b5ILa9^&{D$5?X~-L?2@~~Qm&3D*`&2*$>6W(RwPV5x`&bHeefS(
z<#6bIT_h7qUZRX$bfV;E>KQW_=Q)y%l6(x_*DBUpMR0>Df2(+I82a%*JIjHi-BiKJ
z*zppu1VwDLcYKj_gL!E<_dz-6xq6|)WH}^BmEUmS{XXN0hlzM0k3<SKd4ITkD7NM1
zd6yG|-)oW}VK?t;O)<T(X6vp(N5AZ_q99cZL(xA^FHD%ZP#4q$o@IEXxeFTl75wQG
z9uo3!6Qkrizq<tF^t8<cJj_nj!d4&dHv5x|SC{hbDB1KIuYg3Im#7IeBPVXtJxSJ8
z-G28yr>Jh=fSJ8rMgLd53WUF==4CdtDkB49j#3$f?N7~6deowi%>6qzTS|f2e9T=$
znptf2`pXwx)e!UwG;<nR6BNa&c7Tm;12mJ}*u8yLA>QaR#LcE3P5X`EzKgB(5L*w=
zdQGupm!?kSYhge!qIDJQnL*DQl6yWj`y@Uci9v_XCGB}*MK71w(p49et2FM9(1ix;
z9Gu2(YyfkX9un6cbKj9qm7S>5XS+DgA1T0NGtJJ;i*PEV!z?JrY+CbJ7P=Jb8-M?4
z<d>wuEv9-Q?4P!Aw&3r#T|aDSP7T|9d0PWuK4z`0)BXuo6{v(y-IlVV4*Ja#2t%*C
zZK3eUuG#ziZq&iqh`$oeG!X>0yTB7vHP0gl#zUL3<xdJol~`2%O_i)a*urWADF|V*
zXt%lV)~^i9@NX-TnJ~D;T?wS&ILG1L$!NR5DCoi5vRe3NxWpxiJeZ8L9UeB{&o%RC
z@LERR7ruSaydv?G!-5Gsz69-n9b9u8td3uoNH+2=ge6;o#AGoXAr)3r((bHE)?J$t
z{`bMuY?$MQyd`3$cM@xBvku64EqD$Kw|iwM%5G5xt1SoGavL#E!aW=x>lg1J7!K|-
zM7E!grY1D~2l7rTb8AOjG8D-+!~8<^Q(LMjaDq482QpvuI0=vTKBgAvWH?Gu-h%a3
z4C&H@iH%?{CwYBVc#(K{I?xwxce;|uKH5n~dMXuePd3PB-CnNggprhU4{$NZjhVhZ
zEt1nL;?4AtcT#nQY^DLas$Y)4%LFI_^Mx!+Fou)~b<(tzJ$Je<SQSc)eDG|z#YtDW
ztDA5qRZ^%f@}q@>Fw06gGldlC>1n&Qz+SV%+pM>q0y9He<7`LMzsHqS<zmy~?+WfX
zLt8zl{n9k|B$JOGew=_BC&0$e`l+7_S(ZiIxJJ1&b3|F785XS1&dw5XC6lTib~5vu
z!swaiprVD55E)b+1$4q5a%R125jtvIgD<6<cT+FB#zpyMOUG4<b?NhlcPau>dEMi<
zrb~ytV{qN8q2j+^uR?_euarXXg`GNZOBGpYe<%0BY)RP3U}o3A`O%1Q({u?f5*l)w
z0#l@gSiB;cv5ovTPD5VMl5?!sKF_z}GBPX0m!CdDbnG?8DUKA+lOOLO9@nQEJ+inh
zjoDWGQi-fj@DW0M35RlzV5MPF+%eeFDGK)(D8S!uOf6<JmLRC60%+sxpNf!OCvl`A
zxPO+EFxVt2fNmm5Rz^-Kq{ePW&oB551=OhLFzBKq9G6HRzF+Ank9g3$9+T2%6<qn^
zXBdQrkJzyY5WRG{yZ4!J6>E4@t?-BqyyxvSFnsXs*aH3K>oOEP0RTrzKch#U+tTzV
z#ySW$=Ih{wwQ$|7&ne5H6u_e4?gaO%tvhrTMf#X!vN<Jt3Iv3PZw3U9Z*|riHFi5J
zWBc)BoPwbm0Zf>t^K?w>Jh0@Us~1u*8ei42L}SwUKd}h8@NRXQU8r^|7)v@CXq}ql
zw$D_G8;64U<P&gT6-up@uo>|orU$)t{PzW9LN3Bi=RI5$B1KnQx(gnSR(2M$f~JT3
z1s&NTTw?-;%DVCM(}Sxw65=yjpPqb4oHnd+##|H*?~!7Lwzkohlo!-?7@UUfN(&_+
z#XbDCi8vZh!ed;n?u?WZuEsUw7CT&RaMOW(Ct8=_nHeq}MH;#_yipkT^XstX^zgob
zh`+U?jG(GkK$wX6E!`3tLHS<2_rvuT8TAy7JGbEEXBGNL_3x9e2YUVm$Y^f3CQFnK
zRCS(mex5d;CHtUL8&vMKG4tG0S7;U8$hw|U3VE*(=l<{w>xO>_{-laL1%z>|s?~d-
z8^%jG;8>Ks*xz883c@>`{bVU-up$Bh6~Fd<E8TqfGu51E#Cf$W|D(Ds^1C5s91NS%
zb<9ksCajh|LD&899n>6}fM?mk*jY0}$S+Jg@ItUdZ8@eBzp}xY<^qKl232VAd3_)%
zG{Ui%s$QtdF5X+r7h?IQbGhGp;9He#)8FSpy#TMI)s#CT+|pDqN!pCocWUU2N8{>n
zxZ?jEM{yqxQ`ir4X8)x><!B)hPmkqWbZvykZ>pW+*&!hdKfY<GHWh9rT(k&%2~v=$
zUbkZZ;-6=ZUEZ7-#Upm7`{AThhGsIv2!x5)>x>+3lj4YL!jkv(EWWk)Lkx%3`p8by
zNsheKHOJ<H?|!>D{Hp(Mz)!AR!R=f&=F&rjiR=&|WW6&Gcze?|3?n<-uYkqL_Qy!6
zlH=Waj?d1dpkykS5W5o<?AE6QxNg`Q-X7!4K(lIzh;=H6@_end@j?A3q;Hv)6w`|+
zT77A4FQvaznESRQ>}_R~i_<Lq_8urGER1ll@M?c1UvoZ`jnyHHiJiDsX*tH<S#_zv
z2>Ux#PvcNLpkU=Nb~ovK*~V`jq#oC}`ok63-eU_j9x^>W4Tk|?5AuC)SRDx3NRw#?
zXPF73#Fd-39T4eg2!gdp^x&X^9uEZF?%LV~n^6<;!&bJ0#FgxMVImc**-_D>jh;oT
z0)Gdt#P8ZGeMvmndKvk~rWpD)Q=X*mhXRi|Ihe8jXDTlPV|1GQ%8m_%`<t>haeRFj
zdi?XmRk9N11@$E@#|I*Z*J~vPk|IPTVa}+p@Pms4WQ&|X;qQhd1C-*^&)gqp?tb}f
zvsr~b?F5(+$4g2(N8YTQ`K}(n8xXTc;&Hpad7(-VKlNL$*tFM1iS+rfU`uPHDFT`V
zg$PK!E8MFnTGZ5SJX`BE6Vhe4+h<DQG3{W&@GMwQ6Y8T{otd}_1btI;qAsT2?5>^{
z=>19`LrvQ4PCqMKDLk83K}1!2zOPMg*P+rUY{0&-C*4|OKXOsr_4LYQRjzv24g}k0
zXq^m-vfuh-?gfoJ^(Yso)gK2nIpHwbZ_XwiYvc_a404P!k=~*U+aJTnHlU$PJSeOL
z4q7L2f*MbT8W47!Kv`%C1c%zNX-RwmY0T?yUhJv8xY^4WKb4=rr{4U)od4WdL67V2
z-&3aVC`&D@)O>YvjJ{g&gM5o>QHH?DhDEt^o3BO$H+>f*N%^I6EQDJIS!^QLnzKJ@
zzTN*KkU5E^+$1QqWyqqSm#d%`{E6u7C7<>n3w&alAZSV(h}>Z)chkTwIv{O+n>8Ra
zXmT=oE{(xpZHb}t9JeZ*=pk9Zt+cgG3r*U1?a1{r%Kn$DquP89xO+LYiaPTX(c7|B
zT^}%=KrUTmfga&qP(?0U>PN)h8M>%V5gcSP-;SP&5Ze!JgPjM&SKpkwHeMqs52tpT
zePQQf9THbs-uDW`jCcR$c#H=paNrff48yDRn`{d<%$KG`=9{^`|G5o+d}!>JYHKX^
zd-#C07p1F$!*v*E;V=q@qihuq_zSXPoLP8uHhlqHm3%nbQ<L|rw^H}i)q3(inXy$M
z$B>W3cn@;Pg9iK$EoZA7MZc~fEBfblrX)d5Olv#Zpw_H}U3zqL88yCQUHmA!JQ0_E
zn~cLp@;57owkr}Mi(lxCv}Esj>-4AH=X3C9QiaAEG1(?|Wn;v%NYar&;pIQ0WlQ?D
z_e&c7*5Q{}tpQGk5;V(L9H`Hq<mt{gGB48##h4bfY4uV-QrnRgD(SLNUqp<>QL5pw
z6>B#pR7y6Noqy%+Xd3OhbJY#$-_#zY&K=QUq(GFKz}m9O|Ewh9!HFHaNh)nOl6f{f
z3K#a(wHYsZmGQ-@;mCvw;a-<x7;}e()2as%ahjQ|xp7r@lH8Do#r1lI0N_dBWGHeZ
z=2G3o_K^|Nm-C<DFmT{N6>&n=oBu4s`6&tA|3og*97$6_Lvs+TF(Bbj4}tA)L8{aa
z2mEN%1I>Nqx#AGBeGm)Iiwvr=)^DnYi73ikh(kXu&AjX!ZP|VQ)Olmz@g*P;-D$L$
z6_`+OtJopMA^NMbx1J2PBb;eCXA_0!_|Z9J!@}%@Stmhmh}bx4_$jR|Lw!>i$UX?y
z_SKfmJV_LgMqdwls%Ui_#%2Aj(J-RHbkO7JX@Z#6EvMvB&H@SF!Hgt%Vfp0-&w`bg
z>yG>>GQ8F7R$xkknt+RS%+M|7LBfr^kclfJq>j2}3Dwu)!OD5NiB)Bp?dz{Aa+NlY
zrLZgF*6?PXJJ_`}QM1PF5O>y`mOihtkD`81Ocki{`#f6?E+c5hdsv}(SOG+=Kkms(
zmtY>33Lg_X#&6WlZ#R?pI_smMDNNsQ*SzW#nir4U*Xai}gl07FeZUy3hgE{+7HuE*
znS$%734?o_hzYf_iR>uNJz0Fl6n>|VkmhUL6+dn133#8!wYI>zF_yw>lgMJaj<7KX
zzC!?zB^PvI{6b$&M2%ZQZ!GmK%pf33;_754aw(!h#xxn>tyZ|kh+kmC_LgLj%y+(7
ztR6C~nuoyYod%P8)vunku)YNR^60R?H~n9|%VL2$fD2w;ZEra+7L<7dFT5c}f}s`J
ze{j6FHn(3Bp}MJs^605t?Kr#r_5`a1#YW#Cr=LbawsT)2Ckm3;$7C?K8nQoDy%RHT
zziT)Vfc)tb%o19f`i}^;4@Ffa;doc!#s<XKo9*FS)hxam$iF*Gf`A2ohqY`i|4xqf
z$jo1LFyA0TQR!xud*p4*S=I78jn6o4M$>B2_*mLksWf{<^go%RCZ<dNWPiQC>2V@e
zBbu2mX(c<L$kC6=_Sq3`O1moXyylJG?h}nLK-8e_fb1rStj&@7D!Jnil|C<^glwyf
zKhvS63b=mvj=fl0xczNbFm^%pD`lq)r8-6{os;mjsRIwmE$u%kq$+xJ5Cky*D1x!e
z%Atg;P?r|_EIhv7xpbJJwf+ZOc_{~zq&;R!DUftBjDsQ1%)MLV+5X+KTEW9{A*&;f
zy`Eqsyo0C2z9rq}S%w6fL=Lc$CQvJBcKy@+zn}&vbOj%UQtLH*BusUPMQkg6eMFSh
zKr+rI85_sZKwyrr?NigI+{;LOoWb~#w(TQbf|U}2nG(<U^ngjQfR>65il#dL2iYJA
zk5$$K$hIvFE1!#Q>yWm+&5E{+4yoJLpYLoMn>Ij9mBF-v0v20<Jwd(Nw6X%y{GXp_
zb9kk?2Z$l>^V2wXJALA}@fw=`bvz9p9g(M0m$4T1?CB$%sx5YfvnidyS8_^&OuVth
z1OQq5g@FA9TdIIt?9c4oI?1Cjj3x<0+7dZXA52Jtr_F;xXC@9NP5$R;?UA{K-lyQh
zOifP2e_h+Rbvo-ZfNM0LI1KyJ%PTY+K`O#&zxhl8Tv09qzAU_y=j;D|*>k{baM9mw
zu8_iOYv?K;p71b-`)FnhdK{*VjCnx5i18)FHr!z_x%_{xYQjq7GFLD*ra8JcD%}TV
zBxEj-RbpQvo1y>jP5^A0yy3;}1SsHhAbaHMjx%$6f>-5&6%C_+Bz5sW5Hsp%JIJdj
z(xeyftM}qKc@C8j{?=JOf)|Z5>=KHMhYHK9fHv{A-AplWxrY$?A)_z^)YoV0T?<kO
zOs(cKpFp=i8Xi0YZN?4`G*Z~7!v2{bH1JKSHHHKFp^_myF){JxKng)39?v)u6Hr^=
zze91A@V7g(@_!)Xk-=W3BTuAS*9Z2|kTLOlzUv3Sj7iGxmk&zO`FVLER%eF`4K+41
zquH-M7wa`h+qTSr?&0ZtP?Hj{O1X+N`MOYP8C$gjunPdiuv#;;IRk!ka&l5T8USuz
z7>moy(%vl9I%ew)c8o2GzMueHJHwe0yd7Y+_f&Nec@=|qL)d*A;98EH*MNO8uH*|w
zydv)Ydr%aBKUTo{nj9*|fn&JWIU!^P622Ji>!H3~aQ#z%*a>M!zR(;40LbLTgrjYZ
z-2#+zJ1>nHWOqOl#xmaQ4)~0m(?lj?1~fQV+b`M0iC+I!gqY(BNWN<VebSSspfU^S
ze;lYaIxV3{0?<w0ZE2X>+uJ)^V^3jG?YyOs^WpBK8<T`LLiM>u@rTt=hQa|red7QI
zJR;3@3+gtw*?vctK_KS_<^68GK<;0FrQ{$wlnc;mumN-eL+hh;-nL)I#wBzL<m4Qb
z9v1BA?TZ3t2nx=!C($EM7H^Kvc%JfINvM~49Q3VWr2`@OAR_o2(y6dKFOK_?+K-Jw
z<j1tVH0*$=0&$93f%=T(pQEME+5AqUC{MUP(rOfHVtWek>`j%pU(m)yK2`X=4Tr>w
zKo<Re@|mD}=JQmi-e*u!32Jpc(6h_!Mxf#W7!z!oe*E|$jJG{eph10q^`iC^yi}r{
z=M@#8`Gg;!xdq+!domS8D0THT`V!dE1)Ot)A`Gs;Gz~p9wWt3Ndw(62<@SaFqjZQ!
zBPAj!0)jM3sid@YBOu+~@ERZ?0!nu%-Q5V%Dc#-O9p8FD_ujv+&iVVynQ`869G_Zi
z-LdX<UDsXvxyw%w7pcYZ?bSUK6B8$+w|pv*E?tvW4VdC~nKvLk1eJKmQ8^)fdKdT9
zVRaw5Z;qqwoW~4Jo!4QJ?%pI0IQd_!`GS%qBuVK5^(#Ivg~|Jp0alEc1vnYT{@|-Y
zP>ji+1Squ}tMs)tKi?r=CTjD8hU$`VbH$T+Z{B;hG2;ov7Ma-p9^$sV+6}LjjOOgz
z;?Z27kqFyg8`=W!nB<q*aLE<PcYbHA=$rsTyZOcb=7cN2Sje3zd`BztgOhoKW-^US
z-UomMD*%X}-%dXTN;Yl*JQC4~FMUcf)Hwho2^$`Gp*1})J3R>S2wyDkIgVvAXt(+@
zM6@iW>#-%>Qi~{&Zl>J^+?OVqUw#D@fVocD;I8L*GD3WwFYS(#bp|@~4Wn26+~+jv
zNoZ@c%9gOS7TF=)Hjkq(T#qzJDHZ-ahZ^W9j%!$c&m!NB5}{1-W!|jg=6Jb7YouWu
zJ^VO8T#<#sT^%ifGG;1Z$Zv@LmjBTdr~cd9(43dvf7JI8<RK{t;V(dwHIW0bl;ZK~
z&R!w0zH%~bkXAy@oy<Sovn770_)W3jE;IdMCN=Op0)}u_O_hwy%rY-7bi@2TIq_84
z$nxxgs1htn#fMv2k0(exdBKjt?`c@!sIPg5+{kPF!P6*Zzvr2mnM^Onx)<$RX~MCS
zR-!-DG#0N79l!PF2kE}*fLW+hHjtjt7)nS<`4x)C3@p&#{CLMH`@Z|WT;(lg&h{_a
z>$F{O7#HA5flf}JSCf$A*vIicz?pAuyQ~yeI^%fc54P&Z_f2Fz9@`0ftfrlS_Le8z
zM(BIzG@JB+nb7{-4=R)dj~hwJBlQY;#i(>vQ)dYFvZPd?(ZJV)iab6OVhq+CS*O82
zEMJP7BQ>dW(@o9x?vM#vMJIL!ZC)!4@+mVl-*?46tF$?<Pfv||<&=Vvc1Y?8>>HRs
z;6Q?zHRG9Kb_ZGPl(EyEzf1qtODsNp%$n_w%oL3DXVKr1*sM#tqBz=j<??q4CyX`_
zx45OH{3#=LPD99|-IN&z4~Cff;D#KhUtHw@09Y_(WRTn{&SVbFLyZxX;s%umJ;M$D
zoNI&Gws#@<Y^TZbM225#PU|FT;M|g?j*5u2Xea&%0J;3!_=Pc7c3SkBw<1-r%GI7F
zjRFihJ^}FmNfi@OSx~4-fz^Q{cdL5rk7BdBsbZ~+2SDOLWy_6$#>IIkN7EXG?Yqym
zEkeXr<qmTqS4_V3>Ft>M=kxm})8C#^S1R@+DH}}!8dpDuM3tcT>f81(RadU!mUe55
zuj=i&hK6^wJTPBGg=^zI)CR4fKX{=$+UT+G5)rMDA2pX1DpWxjwm)vAi!Wm(m5-DU
zB&qLLU6+#b=PPSh#D@Js-^Qj>@~~O^@Wnk##$z@)?K?>1enS+KYx)C(Tn$0$5kR8D
z%RK|KJHej@6oT$o$BZ9R*I?7&5;;CRoOuPwMHza}ZrEw5W{y-kGACCaPf{;^Ee$U}
z=!Fq)Km2JP$_pC6PD!i_F^2zYL)dWHLuMgvL=bP>W-DCg%1|FZNC4RS>$Ky;XRvgJ
zH$Sc8z=CjfRxCFT2S!xkIzse3K9vn3Oj~)7w4C~%HgXb1%_dPx1{W}Up-WMF6T<NG
z;#&;&1SzW-TLzu&tYausv-#G1d{Ik!L<Js3NgzCK2K@-5Kb8$?d%E|Bre#^v{CcW`
z=<~}!&v&5DP~l=6fYclxJnefCwK1_8iI(fdw;8gIugg^A@Ytv$Z@#;We5$$2pf-oU
zpzf)pDE%%Yhtrm`FyHrAf092mCNSeYlO)8n2yY$;&SpkR80tUW35_;)*W(koE!u1R
zTJWoz1Stg%_XGN%*T<b)Q|vqMaYZ%@LI$%-XwLAH_5mjDbI~DCFT;z9beXjQ+&$V_
zSUa^OO^tTxcK6-7;J~+GExRtqGd_qUL;`dNc8zM!J@FZmi=bnBhGeYd9QZ{>e^+s<
zk1hJ<djQWyu)G8qL_fUULt5t7<NX#w55{B-_Nb?xtaVkS!u6{xGC8*0GHaO^GRtCA
z0y&qBa-!aZfrLVZDg86%eAD&2lb%=ZS1cx~Cq7BKa$sFRiy;DJsXiy0Eu1(leDE4I
zJmW}2#BNjX&bmn5CiBnL%TXyYC<IX$d+!MV<cY}K_i(Kj3{Pha(-XOcYiKxEsg24T
zg*c3uaOHVQTJ)6gsc_PFkgXWY8<(>Vgb|;87tPxQ$U99R>sx4++ODW-A#ywkmWY_2
ze%|Si*e+?~zMNs};-<2C;Ir&N=cTH__qOd@3nwGFgS<bD7l8h}1GvShI9Xm$0fI0$
zF<g^(>*lHFa)bwFRAwD2biY9$Pm9O%ShmC^Nl%BV%#}X>U3Wf$W7`pwP>6gXM&YwM
zWVCLQ6<?|QSZf)(p5EZA6~dQ$&j!&b>_&)(e^am#Lb2=|Km<hHJ7ajh%D!>rED+Sl
zA2anSL=&)i&UZZh9!ZUg87T6tKemn@sUT4nY@b1;W&4^bE&<c%%-(43_FLCCd>708
zM%=Y8Ovn_EY*TwP8lM3v%I6MsLP_TGPjOX~bB;PA`}?^9w`8z2s<^~coYP?OF?Y)o
zVyA{RE-n=x0Z(&1DaX*HT#>iFz-b|dtzc}nj|@-N8R_WeRo^0b`P_@i8QtSf#5=c*
zq1^kSWme|O)cd$6Nr;{2FE#wRi6$JLGfE1}%|-rt0wU~DMOeT`!{K{su<B15m?X!b
zRL)kKYKvT1n2xWaBPn78$<~Cep)Rp-T$WTjwB4<H95kj$P&=KQ+|()kBOg?YzmAXA
zj16i#kV?R@-AbIW&@7rV*HO)7E{`>LiirJ6e8uu+ax)0c!7yOFHZbBkUj|eQA;AYd
z&US_R8EE>Ua5K%S>PKU<zoI^;D@tb(K7U&XLmvVVuI_MsM)l$#wL|e!5Oq2=c|0%O
z!VZ!?>qR!l#Y3pcPw56rTDplN7DH;M&(K9RvHdSoFx4Ncx(+^=vob&=IFDbp<s$2n
zL~sP%mNAzGgq~6sZUkXZ0iBRY`}RTd{N`J4l0NM?s9^?bI0z>Nyy<9sgnF9@yBv!p
z^}M(z8@JBmob6&dnq$WAD(0X``(jlYGfU=Kpid;b9-0CMqvII!o>+a{t6_X6?Lq_0
z$e4*l0>*~O(4T>x<i8~(B92#zv72BRH<>iZ1!m|du&j=^f*J8)<JdX}mKG?1Pag5)
z>&D30ccD#xzg;G%8TV*DM_$Q@GsK{=6!*dzv==L2Jp>)`NCBN(e=ZGyNJ{LEiD$g}
zeqO7Z^azG<+dGx|j9B0z9W0}`t&={#tDk55%o78aA}DzJzk(8HbVLV?XsQigwfAWN
zcl|xq=3!DvKo<3UbbEFj(IV(@-f@y|ooYKMePS9g=j3H9iNaiolv=^(n^zs4-8&h)
zUz1ewDvlzetZ|{McyV`u9?^P5nsl$fj{MefbvompeHZvPc(O}ZY7AitE+hxe{w0HH
zqGS_dtJ^F*ISzMZ3K5wz@f6Zj?|$@G9~fvZB^p`)(rwHA=^P?o6qS@js)G)NWTS^0
zx&u=CU%yP$6i+w+M|w#ftsmBN-p+l`1zp;a6bg$58a4IEyLtim@7LYcPkg151DfQj
zb)Eimqgsq=4r@U>Q@C}KEj#&NU&c~?UPqePETS<~)&6W=Qu~cVBr+P?{(?;^JmOK$
z1J$1qm9_r4Pj*b#aX;kOz8HQKi9-@WFf`xe5EUaoZhC}017H%yp`Ool67T%k^-?H9
zSagP65@n=%X$muP9rS5z4_#SR>dIZr2FIs{U1ahWgglb#PcUUc8>TEz@qQbf^i=@E
zOy(?nRWu7!A$@sY_Pu^D^h=Xiq9!Rws(gn39-m9m7}iR+=VhS)lGXyVI}q1=JPNSY
zpI&m()XTU6X-@S8u!)&ay(Ok}NNj*#%W850M$Rg|-byxk-q-=`hH&4SXAms-rayd5
z=ap=s-Jxi-0wI+yAEH^Fk8S%_%-)@1t$d6c(~7nTHKmnS`F#P<cEXdDX<9CxvY~&!
zE(Xvb?<~0oD^dozBA7KryHfFD)Ej&;R0}4wCZ`;ur2Dd~QECx85KZ|#Ak7xOnyd+n
zNo)ArhOh8NS)-f8vHgTfnXPyNLA&$X8I!m^0lhU&*s|o|lR(}D$t1y)eW<Ur_anMH
zI2*x}3YADFtAw+su_`A3z`yHW=+qT!8jfb`--&|28hTs(jwT~~z)<W#>*Yh*RQIKl
z+OsF`c)G%BAHE@5e>_)e-|nFheA0c6qeuwL!kP9&dX|r~{KhpvG*E)i(0J~0OQ=K+
z_<BJ(oFLS)G>cMNfJUM~Sb5-;r1w%ST+WwUUn5p%Qf<p^D2CIVB$Ur(pF)Z7#BcV+
ztMc2gX;+h?-YGi|W~pxCzh=qn7>@N*6dau0phgbo5Cn|pt7GNF2foF$jo+?1iB?Eu
z9i3dzlMKqUYP|=u8#%sXVpBia^0>+gXsH6EV(ff?sdf<Tm<xTIpKsb)U@}$SrmNG>
zy*nwX`y|hFML^anR7o%)q|lGG1Joi~6I3=$%`8y;T_<eb;&XQzku5jhfz4I*^;>Px
z%EYa!)nohAF4P1T%N3ety+ccht@|Mr?W8MGdM<i7SXx7HOr(B?$3q?`>nB@5o##do
zX)?5Uci#!_*E%@AsR+2?fwZ8*>raBs0AoWQF^k1G_jmx%pe$wD7q&{mGXKcb8iUKV
zJNHF^c6u;88BJkcdzP;U_oKJbyy=rS)lTxQaUZXIUJju%*awds>OLlt!DVy=PzO4x
zsQL3&H`pZrOX-QHXpq+GNZ8_RbZvFoEC`~NqKhd!>_!8KZ$d{N&Y+Uf&hV{GBy!ZG
z;8+@s1@b4dP3fDb==e@Zg2(JN76mFepSnst<CMxc&6fPp3}x#^SB-wLs6W=UX{E{e
z%+M1ce|f6^6bnuBSD|U{J2d@BxG$4Vw;HI3_?H;VrmeqN!f_nN1ag9kHsqiH!<X92
z|8UTB7TVhf-G;}<X@7f>{Z^H>&7-PCx`baBp2cqs^xd*P`HoA5i0M5weDvDp0fP>n
zsvs#3(yLvlWAI}m=|s&^%c;%LywbdQJbxE_+WKB$*5nzS86-A5n*b+~KwJg0sYFdW
z{GRxfMcvF4&^AH<<R)D+0qa8IAuJ=70DySMeZX&uBgiOfU3+KX5)hF!OY;lfMVebs
z^z%p7jc@)Mr#<|X^m&50B(C6&YWrtfM#1Pzl>tey^5U6T&YdB>%CJX(MUJ+O;nPiB
z%SY7ZpkX_=OWh?L+v6R!`3;J%jgp}F8L?Hfc+F^Q#TI;4-X8QO3#XW59`9Bdb5xBF
z_S;X>LcvKfv50-y*2NxHECnV*$OP(dr)u1jPpKz*b})W;5P$pCUvtHo;IZ;ySZuuC
z$w%V_V`d8ZiD(&fMmG{mq2R{X`xq0ZuR@7uZXeyfkBb#BH83LL#l8`1J3L4b-E;{M
zxf*P@md(|()|7FTKHpmKf7bVNzzo(oND*uvHY^E=4sKJ`L4vNcz1gU{ymOciupaLG
zCjlrijc+dixhCIixR(BdA*4+Jk6LVx{6@F@GtYQdh~riAEMV%w_HlIv;AFCnb32!U
zrl@ml+YUYBud*-O5QYRnCGS7Xcc=nFjZR@)1EeD<GSQ}laWp+I4j!xG7le_u!#sYQ
z1@nX<kRsrmtYa{_2)+?PK}2<tp2r@_9DB~yLvCt4iTfy^*Wh(ouBw&)bdl9tQ%O>M
z<}D*N$)o@jhl>QP-yN4C&z<T=_FHD_vWWxft7da#)ZrvwFiw4xmJqoDX9deH4#<>6
z7qYg>U*bnfR_!^0k%gY|RJiSQQ|ixFUxe}M*3krp4?o%wW1|eq)8(1oU!<=CBG=<J
zN*;9IoRP4_lFc#C4dG!Db`KF&DC@4Y$rXT{-AlXW7d+>zh6jwanneR&(D314-B&?(
z>-5>70SLlg?)xrN+vXA6WHwnyV^+x^Op+c2YSw6AV~h}0Tp)eXRN+Uh5{y99oIDk$
zX(+BU$D5SJN+TIAch1=w+KT_tkihUqB^i42^0F3LAuLF&h#@3G_`TCt$zPNwJ*!pR
z3ocg3zw&ZD5@8E5-_^$powT#R%hw)D`=<ZE#X12Mz?PB*B#*vUurn|@$T3u|Ghgsb
zbUZjVMr^8-&+$5*w;A*HdsW00xaoD<3&oY256IK~_*#x6Ve~SLvGj2iDU2U7q0XOc
zr$-p`vEHv!3=ZS(9&Z4@zmGfZ`S?owf&(GP^UQPOkNg1OSfhZfzE@^CE2>a*-(s|d
zeft#f=y2=cX`NkKaJ9$iN`%jLa+4Ca8Pp`G33<LEm`cehJv7mEw;m3uZTpg7k$*)<
zn)eY4frzH#NT)yc#8ppI7#uk6hDe~rFRI&Th4p`Z<G(x$pb*#!0V9hO#fNoob{@oO
z;e}z>sRz<*I>S#I#4Is#HgSQfUam^=w4-pKuCJ*e3*A2Do;30|rj7ImABi%eDYgL{
zE<f8^fv1fOl96O**|46D?j}TVIu>{9tge#?DDLt~L(W;qe@8R-9UgHe!CSn)DFYuS
zi4DGd26xl>E9Otp--OkMx<Utlh8>g&yxiV?Q>z&c8V4+dGd>$fv#iG0@zznsL`_?$
z;zL{nBY~<|r&n^iNShV&lCYIzn0V~Rz*z!r0&ZSVFhbnvg`vP+D$!GMNco^jH$J6)
zW7h9A-*V_yDsog1!8v{JZ4cqX{mj7H!{S`w!<8Yp4cDnN@-J9Dbto(>L8bwpii>Mt
z^D5kyIQd8dm0`iiKfGwTtEDb_y(;T;4cJ-u=T)dsPGLl*5x+^xew4S59|<Df^Ai+7
z-(Fex*;(bhcP^J^9d7~=i?Ct3fKRQ_;izqU7uJERQenLUP&ct7Px@W?vBju0@%F@I
zjT(n+<eae+NQ?OoUYP}w+>3ST&hb%cx6njnfa7^&m|{lxi_*Pn*;WfCH%m6lyF`!*
zllB$-fsUQl{SIR+G9W*wreEJh_5k8qI3h)reCh!#o`1;oAZ|v%!J~b+sHB(u(R42Z
zgboS>aBiX!kMySu01gDOVJ|4^o_hKpPxC2Rl)s2bU4$YG0z4m)1bp0MAUyF&LdWXp
z=M?|iGjJMIq*iI$8J)S5JCgr&li=xJ?)($<s)AX9t^uyi@sXZ=pnqWLsr#s%;bcZZ
zSal(f%{yDWHZE)ZiR*84@Vr@QT*i;I3-7`taUYs$4_3NclFrP>y+m;o*a;T?k~Ms2
zOxvt51%)~a1Y}_y>xo%%L|3!X>R{FCiUM)CGiG)cpQ_wL@;nFP!G+FF%K$Sj8y&^Z
zQz~HC;c>hm`34kl=?Yz*&6uA%>d}V4aGCB|n>XT_^s003ub)fdB}~=R^B781^zbnr
z)2njOpxp|9b6tGkeqtPTcV)O@W+IzNmCrBPz|#`BOY7D#EZz7Jos0g>opS6aW<xgO
zfZ-fG@VY+lHyH3~HUL&TeF&A#;_H$sgw2n64o3?dF{Tun4)2c@+IBx~wjZhXJj!P~
zy%Av$M7s2Yqa>8sGVCptiiRm7T3<^ioa9Dv`oA&Z=J@}ho<JdiWa8LQ=|!AXQ1uFd
zTcU>}0NPm3lfo;VRB$f={CWh7)4OO`tJ>sT7CdL@*g9oSilp9$qSlqsjbf+wD{L7-
z4#}W2NGZDw9mHJ{n!cmNzJ*{u_ATNb;4x!<e9rpfhS@8Lgr*r+qf?>!!J!&Je;J}b
z71u3_xgwf+by}{A@>3<Qbh5J;2LHrEi5Hd9SIz(wTwtX@=D{YJLkg$m5iDajgAetP
zjMuH_^V76u9R|yh$`Qqzl?Y}CTQI6i<LP?@_--+6+g?f+YqYbGY+U`1kAA%LSjL2x
zMB;FtJ$sAh;`+8xL#TL5T{=&l1F*9HL%l-7fiK|GezrO~@wqZy_3-u?`8{)6JIUI7
zsxx*z3vKOM3qVYIP@wn&syu)(imKa3K8kF!f6|Sn;7M%Ni_-i5ohZYHC_z9Fd?oQJ
z^QqDV_hJ*EHDd2cUK%p;yUlL{!^Sh|dmD38-f#e#3D4};6~>BNz=<cJx)pNnXwB*e
z3%Ud+>+?Z7(oc_m;6`p#bs7_k#X_%y3@dR40w*A|ZJ|Q2%ymAybWF7zE}jA6azJq;
z$>Voj**i~xtDH_({HqvI$Jalu3Hk=;5vOlkbL4CLr{ko~(ke+D6P;Gbe*1US*pHjv
z_VXN`&FSNhfrx70gwffn!Oc-W8f~5dzD9BUVsI<CrrD9drt>$a*?YU?mPEJMfc5JG
z3Y-==pgCbldWBeF*tiuy!^W7dh$3RTTEIhjT0>9uLxsDD*b7C8(azf|QymA54!X0m
zwtgrY(5ldl+d;G(u718+ifwW2MSulTc?l5myz*?3n`A<^6B)=I>ADeom><y<X9@j=
zUQtr$au-Y}M6_tM3g;00*D;}Cz|ZG2lB>@brcY%Nm)?-LZ;xidQdu`=D}-C7vxpO5
zz;10Mz~OA^IY-6y=wHt={$2R7t?)X%b{7t=wL2>8EHi^8<PrUSWgpEgQ)VkLqq5QP
z89)J4w|XzC^xw<$W4%s1MiRrbeTiZ|mg$RkR1lbBR~v}$iTp(5=@8n@UhkHm0)t-!
zj)TjDg-ovf(~Xy+3_?NR)?^wc8WDFClT}BL@y=17LVg*IQbMg#JZ9?aZ{f~W0c?t*
z8yo>GjbMH)|8pJWY*UdWt!B??jz@fF$htmWz|5bp(9R$YzM3YR#K2?%8W<GtF&zCQ
zV*k2!zi>Feq4R3S%8&1SXU1pqE@1gTuf-W+#-1hp7N)=eW?cxU`toMcL%)LgczMDl
zVp6@#$!xYn=j&7Gc-0Z}?0KF_P^hX0kI-;BQeeY{PN}Z{z<O}<;Pl$v2{N)BJBio=
zLhBL{>E1(`$*TlSHCK7Ve?I_x12#1fTbS=YRs&)Sd2+hVfFwfC<U3ohTIMm6NacgO
zHkYe5<KINpS)kuxyHIPA2!uRfz`et32y)5G<G_k=^S0oPH(0-S<<Wg#v%fjj7u-Y}
z9vuxHNM`x@%gUz2Zfp3W_f5D+wS&96=0whcoJ_HbuQ-q{fb<p`B>-Vdh(ZRG7ME5&
ze;uI=vPPJ}tK%S!FGRWdqL$n67)&Lik?GV?kLc;2Adc`kjn!<_<f|WA9Ac>}9zrq;
znLX+GX!G~L(x|F@%c_D@Ad~>oNeL<%PDv>)XD>Xe?@G{TW3wVW)Z!%0c$i6XN!-^P
za=FUfepz6@HE1V=zqfpAZ+#|LSSU5q_5ffVupc4FDan3l<G<!mF(9NM<_A!ev)0`Y
zx1>f&Jpt!aH;xGdHoB4dWMDS_W$0xas*#8BnYtdznV}*u%ZEh3I*@G{IB;;p1mMT;
zC@(HbYMR@9WQ;F_p+$8a@NsE$7`}FjYEG50{ci7<24gXW_7Lgm)Mmsw0gMrM+O@7f
zUp|#NBChdC^6ih9ho7n2coYFF1T2mZab7E}`z8|P0S=oz<yr0{n-`VgmTHHq8Om7q
zdB|LFS!KcPj=-9-^~BPL0f7v-pE^K3W@8{UHzlNqZ3P|ogx7w(D1~|Gnm7n_S19Ug
zL?h%>wSHEH%9mzX3Tv;;mpL?lCS~^!9Polv9bT12vak}k+GT^K=?!ec5G|{M09OB?
zj?I<4DEULQqeYgK#BK<;T}#O8zHD!N4gKnZVijwWwHpkE;4ykcNzu3;{jF*5_n2E*
z?mqOE<Hc{>FHQsRJ(cD+wy_tUf>%V8S+Q^PiRPD#5+V64If`;k=0*mCsp^&WKqvtl
zjZESbM<O<DGS7{n=m&eX=XXRXNxN)UqaO0to|ktsPmL|+H-2&V9M1;GQdIl<F@A8D
zRWhMa!Vu*ZqC>F1F))8K1JG|m0{Z%Bt*PstcOAWfzgY4sW~0fd7_@mlXi3$6jJh80
zn}>l>G*xHWQVFn@=c&#O3Bi5J>#}e3Xu@E$MZv5OLIWC8CtxqL*DEMf%C;bdZ4OuH
zH*-#gZw`n3c0OcWb8>U$*;-OQy00}rm8_R;dt<eX*mYd~o}n5&_*pUg3EyeH@8_9M
zEqVH8v}IO=Iwm(Txt35*Fx~BC+VZGhRdBg}P9hDce2%J9H9&GqoLuW?@mO~a)Q&1f
zER4sSWuiI97A;hsRb`wV$?#kp?*?vW{Vjrv!kLRBG{#~cAZA9{8T7W|%he9Wdt9JT
zpj1~cZVZ_&<&zT~oQ2BgnvIpvr&u?Z$jCp?Lm;AB`PG)b|HBj%c3wcvyQoye+ZX77
zP48ZeR9eor;VT>o)SjIly!V#Q+Kgu)WzV?@tbR!6=iN%uISoJ|jG;Xf&FQkfj(OX5
zc{|bJd%Sz7W`T99pE*Ow+F;JB@Zj{}1n2<;f`X<uu27I1uO;!6!$h5wlw7NvjM<L-
z<+l~cnq|k4IufH??5yV!n<^*IC!U#3PC6#6e0i5X)%5;zp+Mw8e+ZqtK4Y$>ADn$T
z+B^mbdV34ft<pFx@UZymGnYFepNViWC2t>Y=ymyWC;w4A;-!#Po&0v3;o!=&g_w!*
zLwDyV6>9v|va?4;n0=$6f7;|g8AIruiDH9c5YGDZaH=zvA(6T|v=&4S9WI4F;1zKw
z&bdw3Jk;4MMk2DAIOYGyA7SI>E$i;;WCJ0uWDa3WGd!WAoQZPU&#QMETI9{6A7Ex>
zpg$0aqz18t5Uh6NpJ~!SJqSJTluMz|rQE_iZT$w?Ljm9;R!NT56S|LyRrwzM#3&r>
zz|W0z+)O}MB~^x?)%p;O<S-IQ__SalM3a)fcxz;9vJ5K5djEKxBrYbo9^X47Q4Um@
zqP=9O99wF)$4P8V7!XcG!Q@_TMluq@*0Ir|QJrjGmLWMiY`zn@mQAXs(0S8MsIyL1
z{~(g2Byzd<B2x0U&o53$5h=(4dT-H;JHiQqXlB8vWrCY2KOTf09XP_labb!JJy(GC
z2IX|qLR%f*+42^5XXI@x`<`IX-nQ^__ITUKP$h9eo}A<<oS*~Y)Yh{He*J5t6ud~1
z`?$zbIrRHhVkxu+!wA#L%CF#jmKwl;8jx0^_F_X**8Fo?b#1Xk@Oafi&!hW`G~{W_
zU)i)bcd*nJ;Wd<Vh$n;prVj}hiR@(DnBbrA*^L%4`U~Cc?18mYQRi>6-k)&#Jmkg;
zo?SDVkPg#7{FZ-qYk)GB!1+6d8}?<xhn>|2)-zvIFi^XA$?-%Zg-fK55T*--OG!s{
z+Z#2&>%ChHE=!|79PP@tl^MSRzjgIr2@nxP13Chx^)9sZ6@ju!R^WUX5r?cOWrdKQ
z7BN-ZAFmkRn@Tko4-9uAz_F83ghEKY6x?qpYc<oSVPP#h$rJx%aKZuPx=2hY^Ua?Z
zM1Ffq$_^4-L1`#~L8?R{fF)6|B+At8o$g=l7#r?y43|Ho%@T)lQy^+5=#|y}i?nY$
zl)%>fiB;GEUBes1monNc_t?Z_%zYE^@-(HuGk4>_z)eoQkb)e+bjT&0j{3&tX|b!L
z&!8AMnTCur$Q|JqDIP|r?liH4LD2hK7tU*CV+Gh4d<iBA=>P`WQ&ot|?Xwp2N4N^$
zYuKQxa1f|6DzKKvLv!NQD<4rIrpe#9M>kq8Jfa<6l(?Gd8a<C`;~!9A1h+wo^jW7{
ztz*^U)NQHHKr72Ir~tw^+JmK_-Yk&~{0J_!mH5^3qH)*l=}gigIw#+#o7jnu1+R3)
z*-Xx5tP_)8LQbUEAwzp8@<J_ou(-uAeQNe3#rOxLpZM4+>m~FGVzGkV1-totu6^C@
z_NI5pcw$_9R)N_=v11!80;R-EWnEZ^kv;J@;XU(E<49Hut#6!qze!ogIQc@hxR}g<
zeBwM6m{7MW(*jj+j5959A@h)lp2uZ>d2h`m|6nP(_7ioD-iqt}fi1Mkl>(XTdsFx$
zNg_g|A*Yjc%W>b#u!nD{8FF-fWo*cOixE!Km@lF!tKV63;7zj4K9jnWo`VZRpa9Da
zj!RA+8)k*0bCfJTfS70eyQGtp^zb!NPq~D!&s-n_6J~f~0RUKn*QX#u3Q7l}bRl1f
zvCKCPN24sHjFWyhAu-JniXbxQsDCTN6*;1G2`*ba_>MXizaFCVQE#;X%8AFIY*k8Q
z&R6g!9(YjK#xs`ArKpKo{5FY$%pcR1m9*E8LwX#+f)F$kcr)Dr{k)Hlll9~Ze|&Im
zmgsP`O^kccdQS?`!-~rGQ<#H84?wDt0Hms;5;9b8piZ#--sn8VVT#j20Y7$OB;PQ3
zRAQk^q?`Dx<tY03<f<C<0k=NDQ4VUu1vo6Ay8FK*+VFev<2j|g@DWN((<SS)kc%uS
zl(Is#i#jf4c{~^yHc|igdIy2k@tg)Mk$|Rm4m9y^qiYKm=l3#E&sX~1f<R-V6Y2fu
z!~zu|O~VtO1<>(n0;0oF0G~xk=S63Z4q5#HJ~y>Wl*G7@To<9#hKT}LCI691r07Iy
z3lx6lXfoyDw&mfmmFlqeb4HIr;E(}I4X>Sm7(&{39fFR0eJ~T1X@{{{yBAe=284QT
zfqdTys$kz;7&~6tSm~0dfX2MzXuf8pWeo4TC}+~4+7j!DQ+L<%!ha6u84)_WCVwE;
z726lnEO5I<k5}ys!ELD)S0<$tbOv%#`Fsf&$X*2&;Rng2-H567%IGY?E(+HMk1rg|
zr+y-BuU8CgSx&9~(bEKjt41xWtu3&(6A8q|NmVrabmu%>XQ#3{0nkXzEDI{u2#ZY@
z7CQ@b+e%$)a6&5zT2$vqfN<M4Jlx`XEENi6m;X7Ytwkr}GvM!<(G!LQRe{-qc!r}=
z?Q+n3pNr<pbga#bp|oJg9sPoo4WmDIfxo7_uiJc&niIwGHJ-!OAvIax51v+*5h;+2
zht>7aj7z<(zw9N!_0!Qo6cQKgqq({H%`Y)sp3(25Y;^${^5>CJ0berU!G8t0Ad=Pd
zDJ?0Gc;CD^@NQoPU%qSrML~oT`IqhquOW>^${=oFyVtncn=BCe1@z#m!%@@unp?L;
z{>rODx?$8_c!uA@{`>3^iagK*xY7Tv=sjPTE|EWY9;0CJaQ{!x2I!wZ6qx{4X}@pO
z$BDqf!C|4pAirhUWMg<O4+;|kKAi4_xcR^T9VALZI)FuKI+XJ^4<IT*$GX<fuOdnA
z@JNs<gYzlyn$*%Dnp-QG{H^(2e~l^vkb;k5GYtIv1UMi7O0C>^D6i*Jl=%JG_nWIA
z==5`0lmDQbp{*GpNsUxj8c!Vu-g_1Y(0Z_)w8XeqqdlxvO4q~GLkWh75GNgWo%!8l
z&0v`JR|ibDr+>yiwXZmy_5T8-(dyFrWxG}Xdm+q$sYDjqUd~cmy;3~Fax}x}9`{jp
zCr7?Zo~aMSXQ2^yLC<SD0=Qkjz9rwzTy9LeSJ2qaVh5pe-yw^|g(cClB(Z9|vvpGZ
zl2mg)s_MV5(FP_)UL@^~P=X-(KBJ|YK0(|N8mNQVvi-UH_3O^lfiF0(vMf+TVwKU+
zjlWzvScyNe#wCFr8-krA<#&<)PHaA~)MkTZHcHujq#ROqYU<lHo^2}+@`VikT_&JZ
z#0=fD+Oa?biB)<Uq~fJtPIQ}mjE&*U>O#WQR{r~%piBXA2#^JzG9d^{d)3WdJu|e)
z(M|Mq^U&R0xaIM97c21xs2g9K4ftK5OfV1X6@Gp3N$@9b-I>eUcAu!i!SHyQ<w{_-
z1X~r?>+XWUWi1q%wa^sHpB@?PPp+NMwF_#2gb6idhaxD0e2{3B)L&%fW!>s}`GNI+
zOt~2XAIy;^%mC-{-<1dcUhopEl4mg-e*YQgKa(Da4tBB4T!Ib%&Bv%k|F6>4&(bq9
zqxoDNwkE5AoVdp8*SI5s9N@zmMFh$J&w{b|XfU9P$D~na)!>Z@$@&A3E<$0Fw@X*A
zcNnbjTHZ+-*#1q_fSl~jce)}>RM-RcYdw;`TGjmj4_eiKFTsXY(E+Tw&(2))82e&(
zd@T_6<DzNnAAVqNv?84jMqjoAtSA4IP1DVP=7KV43Q6QM$v~kYQ1k%n9kfubXqElp
z{j#gKX#kK(C}roNYp&I&Z-xn4)8u#*#RNcV8lgRm$(GIf?e|(6Nhp~7QxE^={?3vK
zKtT`yNk2b@U*#b^_y&P~{k{S(Vm;~Dc^wUJCJ4xYI4{Kl(5IE7j7b`EjJOFcv{XQ5
z5Oc?G_2qx2k-`zF!ePS&w2(q>O7%V!{0<%4`$4L(!JcsJ?*Fcphe-d3LCd4z^^t)G
z^}YhLpUpiG`JdSre2j*@&1*d?#KpSMl3;Wb$&<iFRimg>3lEeG|4a((9VH9scngn+
z!a_4if46^}ofw!tI}VxwhM0Wm>P>3$cfIwBPX~wI|2?tj?XFI8WNu+JU2Ui;Y7)rI
zETFWkV%rpPur?$EdUeJkW->#;{@?o4H}t${-8Ogq-1p}NoUR(|A<(PhW5amtO`l<s
z$yTPu@l+2mdR??8!g$O)rWRMvFiFq17wwly8Hlw88vazg|D3%%G(j*D`x;!OtfaJf
z55vsiQ2oKy4+=<16$}O?I^#tC!9qo`EmxNL(}8L#fn%rKY>Uy~N5=($i@SU^RaBEY
zCLIqX-`LLaKh~(w8>_&S8nS8K&e#OSfN)%tKrJvuA_?<AH4$`BF`hc7R1`Eerr$D;
z)^>}Y*B+Id7KSw`Ve^9zbfc^DG}Hp94W9Ayq>g}N=5A(qt<I|zfwM37Ga@<FC-w~t
z^aK{)q(y$dFmO&Y3%e$SK;#d>KHSyw$bIuZ6l8z5*x^(G8?K+y%kY@Ih7BZ>8zEp*
z5Pn-aC=ReLCUK@sA822(jMdP*o<4i<cGCIYQ@c;hpR4Yhc?44c)2ym&1eLa4@w$1+
ziePQ*{k8t&3v%%#v6VH9v30K4LZu2Wce{bF(16c}!1W&e*0b&!x<g_!k<g8&8kyDD
zEb&vLrs}@>>DdU0j(oY;TMt^Lqtt~MOw$!?p3g)g5`AxGUpx(`U@rkS(gZfwF;9wC
zRiOP2rZ22&PoaZ6Br;A&(py7DH=8)XsI-9CEYOsez~F#<6YFCZqyY<y!J)7_G2E(o
z(=e9@?Vgl4aZF*I=p=VPx&1(0dcBBGLS!DJqYMQ(pfBY{TD0YHSd9ICgMo6ZijuDm
zw{E63wLlgKz1Mk2ZFgCsk~XmCxpw#0r5~(yIMgmKcl$b|PxUXann0_%1s<MN^P<}a
zgP4eJ1C(4QVv0U#eaOVnldfm9JsCyN(Pw$tLrOvfzkU|>by+nWjLQcfIBhf<5P_b7
z2=pNeu9i8kJ3RPstpVuRN;z_l;j;{kn8~9R?i5H}n`|B3cA=v-SLm8<oO^us6l-}w
zE!^-&l{4wZ`HBHWuzVgos4IPbcDht^e|9u+eEupFm7AJN+~AX-6B;+XF>)%o<^$dz
zr(yHyBbWG)*y^>Hk*@{eD5=~eRz!*_e)H`@s?tGTp2=O)4cF*C?yw3_S_V7O8p4uS
za9lLb*K&hK=-X%Y9&d#R>pQ4>)s*oJ3g1TG_yC!@e&#2wfEGO$qI1F|&uD3CMu9~b
zJEtyUa5csAl^DOYuu(I0xco8j1TD<KQ=iz^>Sv?rfAC6guIdYNHgOQKNPG%ylwodE
z)BRhqbF@^itUEj$CneIej?Ho4V!5y?LOGhmEc)tdRY!{sRUm_(g~Ta&kJQ-yv%{9f
zrdSI#o>2GsQcr;)G1)sDWIRVS8~7cAc!Hg!VTPD?`Dx!=h9|gs8xXYabXN!cCtH*~
zMhdDVbTtd^wve-MFsLccpP315C+;`a*=G?LA=XTW7B%D~yDVY1|9CX$ohd1G&Mpcj
zg5OrVa9<x_1b1H_V5pNsbKY9a`?LxB@d!Z}g2{Zctod;bleuy3BQ!du7Oiz122}wa
zN#h{*Y0p8IO2)x3*D~TnY9i{Z8{v8h9bx=i*ZJqE4@D51R8?);JAz}YsJz*t4j%FA
zdUJ9FGDn4x;oiM>g&PY-<slpxYh)`t4zRJho_6rtf{3ta$CoSP`7S<|s4H>e{`#<q
zKkNxQ-FCYgdQ3xfVxlmGI*3<=!fJEid;k0q#K9BXiK-nMuYEK8KKueEwI3z!l)8ZQ
zcvdFuhZZB!C_%drhs?iEL1TacNc<V3RXZ2JHax@I+XVXG>I`Hk_Q$&)jsP_$KQru1
z10eqhq)~@}#;t^egeQ=GYBmXrbs01Nlp>#^En>LHay$~xoOE=)O8bS~o3CP*YCrG$
z;_g@)1hNtXFNv{YVe<H9EWxiTCDhaWGbtDClVQ*$wm(@E>#F_>XhHbJ^PGwUX!@Vc
zV0k)$pm$<O4|<D_ffs!IF(V^G34Iz;-36^pG>A~(%`!dd4vpKck5Zm29zNk?xeZT-
zt9pmB8u)uwArSmt>HrP(zXS6C&k2x9fWBY&uiLrhi&0*19smTJegA1zR+eN^Hz6|*
z=!ygSK#~@Z06Ahx8pr;ybcIoo%6avsi#6Ru`IWqvW4-F$v4>q@pDis%oIoT{s3_Q1
z{(slFerSatMBfcKD6~9p>OX*t<#i2Up@lPRZyMC-Hr`^W1v?abd;1&@z`uc1^_~UD
zQ`|ZQTqoaANSd_m9h_EgjE=KzJp3?ADi4mGf*x*eOi$|l$jsxDnP}U=&579Kk8<j2
z^K6R`ya<r*5d=R1#W}DMx!aN5FLaY`fL|NIX*$5KyIXtQNQhc9>&K8(;tX_n0iCdp
zUg>JmZLf215dbdLij3s+T{V7HX}AN-mnP3VG6qvqqhGACIJ>?072a}&gQNTEYUxPI
zkLpifBE#Ri`x0wH7QPN_wCj%HXUe~cuWSUg!7Q{{Xq#VbBAI}2xjBt^?XM<CEy`xL
zE;qMA)|k2!)7G}!w_N2&1Bjkbnz)lN$W@uK_7`SR?R49j>T-u(iYnOO?<r^C<1H<r
z=Tcc^?nuV#0LMwIED#y_A8Gu*1_Qt?j#1j;5n?L4wO41g(PyPH@%&ITb^xN?1C2I9
zP)&i-E@+EXxwZ!ytQNH_fgREkVDH!*Afm7f<J0Y$jFoI03~9%UwM!PM79_W(KFxn>
zzLNWRMc~t&BXZv3)uw|LR-(|!s@r9#r)2L#F`jDb0Cd&AY?Z&S^3V-od2;IVuyk*!
zyEHwJm~9a>KlT8f;x~dWg1Ue>s_2`h0AgA%xhjupQyt{P*Cu9W`wRd?XyN07b^kK{
z>g4_v{=(tLSaJno=#0R+suF*Rq2;<;xkV?8%BSyb9@7P1O;)R@R8)?geWnMP;ChI-
zYvw3)_>U`?hlf8eHCO-=WbPqys*!C#T$x$DWc}i3>T3Eu7EqLZdjPWTvvALoyOTWY
z1DSWXFflP()Sk7Uv32v#wV8Rdn~xTOZE<<j>8T6DSIqVS$Ms?B{pH^|m>=ol-Fl1n
z*RliZ?kM2ijlBnN=EABux_eVIgFgTjv&i4wqMkV7Zq2<%{25a?5ee5|X^Ifwl&SFs
z{&~qyf*45K>1zIfzgj?po7fIgs~LBo;1jI;T3m}Ee9jMrfPml^8`Luw*7T{@^Ss$}
z95h)5{FuHv`a2`o5#a;(9mlPKMkdgeuaDAWFl*26Y!fGK-4y+r5sgrL*L<uh{|)m;
z_}EGXJMPW0-rkh6B8)yGeZR0}8?bN#0LQ88p_ctWz8)-GAe*g^r?)g&xmjTfxL+{m
zg7w1=FeX6I8|d!vxE*hU!J8=(nyN5BV#`%4UhS8c(Jat!T^-2GzJw5=97e`NjJ^oQ
zMS!cSt6Ao8aVh}%-sX21Bzf4rM4Sjg@^@sQ<GWRP-`-*h)*f%_aP|5jvs8EK2s=sS
z{<<9`SWSqQvZO3RczXc*AE!x)O^yKc{n+(_qJTo(2;eHHYHCV7X5eiI8zyd)cxC8T
zZ#H=brnbNxXU%COz_BOc2a<FZEl2IAaF3Pm;aT49UO08%&@IWiEMgR!T()`=#Zg7v
ze?Re9NlQ&ThZ@K+dVS$hjz+TbBiH$-o|nW0>Uk;aXP=Q@L9|6=aS$CTEHi0A>yn#2
zZqRdtV;kSsCGc(S?YTfwlG$wr!$?yLC~T(>d|g~c6*zug_vs7&X$!iJbpDT{Eg-JR
zgku-}ShHsTJ2RwAYsc!mJFk7Y8xAwI=T4LOxZ%-XuIY0>z)0<CJSQdlP5FOof6-N)
z;#IwAy<dqmp%hIYB8m;lno|6YXfT8af)1HfqJhKuCZ?v4YGZRe(d2XukeuI|igz*|
zvH|#QNat1~iP3X{xoaMDSt=+R<_Kie@Hklj&8IbiQZLtp9UlC!oQ&Lx+fY79N_E_{
z;XF-x-muY7TPvoV1LJ79{Mq50>(Smbo?>;ZJNMO3^0h}YcJt9Tet?rSi-83ozfT#&
z4C3C+f!3dx4$H$HF1Jl(d%HfIpR;}!P405jv9`TQcv*{80BFr;kG!mcsE`eP673)c
z*QIM;y=Z&pus&R9_(h$FjN8<w1`~!t%4Ko8fBta$c-IDrMF35QfzD87qK5D4Y=-h`
zG;m|oeQqA7zhkWIviS4b;MUk&ytyKAgOO(k*7*Nfi~8^Oja3Ye-n1I8bR1YwW=@44
zQ(#X8keQ~A8!6zE7fdc7#wE^Hfm<(lId_W_zT;WDb@qL-5)Ic~z$UZ<t+(TxD3O&g
zn&aW#4DXPBSTZYoX-}&9!&^Dh)?VGFWP>-)(_w<-YBXo#Sp;01X6fn0#!p^-k9NZL
zX5PB^r8ScsT!_{Ge{Iwv_!vF!+mN?t@oWBtZ}LIEz}kAWWu$310@&P|BLrggRhCoy
zy&Czh+y2ZoEoW(R$+A^hG!EwH2(Ad8YwA-r99R1?SHA?wPSL+_tk+(y)eiRef1?e<
zHvz>73&Nbe+XPnUy?cvIKbCbF42=>LDmpQ!<RcSuKt9F-(y>$O|9Gi2H0~8{Am%r?
z^H{Tjeej^AAGG?KBU^0jss`x_l_ue8_+d%_P?W2j__&@a)WOD6<n()ZpznQc0@v#!
zwRWIDy(B7diu1??bXSKu^I<So<$)ew8)K#N;&CP^+#&^QxF_+g@|{WzTeVmGcYEU|
zBF0sSACX;+pon!Ml$FQiz+&*omaP2Tqk`!jk|2U@y$taA=SO0MH>X43bw7N96Hgf~
zAG%EfWJG+V;qY)K%54o}fR>9xfdC79_p+Ah`F@|w)sp8Wo$Eaa?5rVX#Lg^4pBu`c
z93t7i!Q=*-5B?fye)tHZuNTCFvhXK!pb_K?xIUY<Z}jWJynxIiGGhf|yY|)TkQB`J
z`2N+-eW>rJqM~9yf1jdpyJ`5Qk)Ip6)&QU8L~r*^RhW(GUep`g)u?x4qA3F{MG>je
zAY}DI9bh!6K>+<T(1LQ<6bK_Uxs=C|4~-^U?Hc{5yIZ8gkPwsd^Q|E*I=#KAka^;r
z)(5Tezhls*YfqwUeM4LPT<E-lJ3*v%)F0t#4b_D4$D)Z&y_O+2#;X%EMPhkIaJ9%)
zn|KMO0Yf#19EVyJJ58i=?UM6DwU->^dP9n|w@RwQ&R<J7n%&bHKukB*<;K&a8KR@b
zL6C|wk$Cqpxb+}86AH5bcLV-(FpHQ~A1x`I)nsr)l#@|u2G>Bcli6bjLwV~iTFhb)
z_mUUfW`8<fs#CD)DB)>u!2a*5^Y(0TQuDxf;>S<w9uh7KGR#kvB?cf7#D83|oCIYK
zW)mRz8tmFU@Ev*NOCnu;zS};eVcQ94&?XyfJAozazt3zY)QT2<@gvsLc}3%I#b8Qp
zPMM-&wjv=xs9&HuYyMK#2U1x5>wdQJ>OQW`Km6Soi~>@POGxxT%aH^05Tm8f<rab~
zRK%5V09I!5S{-680uA?b&x;|?37d8%&_2_8LyurwcN)}&5iQv|KNVk&bbA;a2t6PB
z$cXsE%QOm>wFrnziB=1t%1Hy+-ig^k<&Hwkv4)hlo-%RDtoQ9xAYPwg#}KBh3PAt`
z@;^k`KVfA1s??FWR!I?^yt&#2z8q~ATUPD&w7TRsimwK`iex8PcC*?&vBNJ@3FI&6
z6zKSD=Tpus(|(aC;0W*dM(x6GQ8FV7k?(G9@d#*`b*;snaW74_pKktih^-#d`qEwV
z<Rl-Y|G&|LES(eaYZuO-rr=;q`I?(uQ$caFldbhU#_~jsnL~AY0z?aj+^UdFE!T}=
zh$=i9&RGkzlB>`v?0(I)fi4{jR8vp7p4T)>*m!_;=}yOyhqhL8O`of9qU?1BzuJBf
z*6|38D1M8}Eh^T|i`@B?O-8g9bRbV>tKeg(W4}DhU7yszCf9UiGvVnLuod4uxnELJ
zpBIgAYdjqRk5`}pgXp-HXKa3+`s%Jhcevtkn>s3e-gChP{7r>BOW&cU)(PO}HdWor
zu0DgIH=`@cK2w;B_DV4{%ZFzlQ#^(qcg=Z@USZ)bN?`Gy$Ah-P=3`gK&DwWcxv#3$
zw4GVbJh3kKuI^m2HK<b~+7jJ*$Pysvn}$DJ_953*R;RnE_Qh_k=^<}zLsK#rKLTGs
zhW$+&Owc2C3`r!)W5t(1O{=TJ!7xSJV1Kmm*~nLzc&!^lM4B_{GJ?Afk@Et<O8A5G
z-wRX76*vx=b;C%v>-3UKsBT(hg6@-Aun$^s?+mgDK6;wgnwre!46=D+l)WYLJXwF)
zBwN3Y5ZIhUAgj}lfHEzIF;?^Ei$Tv`2@2z{!a7=9!sLtY?OdBCe7R+^q=-61Sz=e&
z7ne)7EfZ1nYQguA!y|4x#cY7?jyG?frb&?)4(0_59b>Y($_wko-exBC<ke+W@p&|h
z#@Ria%UcSdzirMm?K9!OZ>eLAHjnC~V!iO(XqN@Yu8%LXNr3(7#a<5Ieml$Vu3@-m
zv*+D)IT$hy3mh|AW$blVPiSg5ZehDPud%W%eV4bqaw@yXClG3`+MzXZnHOKLI(zhz
zWRGYabl@fws)MVdSa-<yJEIDZ>eR!XCnH)*m9^EiQOIpCJGRJ!J+6vs5B%Gz;+`_U
z%h~tfHb;Jh#{#G9&=8yRcU<y%5O^&+N<B|lx3&4tJ~_$;3tSm?x9d3(o{k)le)WJ)
zFg<j`JI1=)|NY{MZ@3m=4xa_?i~Ly4-)V(MRzuL&siz~3cspE$AH}?|7^^~cYEE5o
zmaFNCHfDFU<$1-RX-hqYbQlI^fe*}!%Vsf~;&lgb@I&YiC&OPF&u8&ghfr_NUFY@A
zCl69zqu8uyx_GHt|AnnO>xV23Fkg_qkUh0Ca(0c5iP0!ABR;Df8~gPO>FTW*{_sOt
zo{#xo`tIB`M21?0ZnDG2c`ioRoe*m!S!y+o^Ku`d7j{VW(pvW6KY1qLGC#UC{>J<{
zOqf!Z@)0tpi2cQ>{jK$p9Ia}XjZuz6<x$YVXY6*J|9lhA?Z1<n@EV@gYO<;0>Bjw1
z{ut%gIPcLjPd+D&ln2?2VW~}ZFEE~mY4cKIomEeb1iOSH_{(}_sS}!F*7<Lv@KFD~
ziy%xI#v9r3Tk1%Xrp%x-j7Sp2<7_!`<||7$UgF8mncf$w`adpqakIK`j#c52!+v<d
zI~h-MiDv(u>V77{LHD!e8AfC}l%*k;<Pd7N*-{MrW0Wml|GOi$eo@iN*(O`+SUgJ)
zR&B(MgQyspxkx4N9o>4E*N=R=PU7OuQ;)wdlb{8^Yi|3KQ@o7#E?<B|l8x=}2#%Ru
zj_EgQd4UMG7#{#zz^zcdqxjbtWD|Vg9+b>s)QQ*g4pf~S(o7Xlbj-3~?nGr~-A<KL
za#zLcD(vB_*a-qxyMwEHYkj)@PBp&lbWUZ(kd2R=xPnJuF1)3?Q^e_@oFI&biKPz?
zbU!s*oBq!fD!>L^wle5#%xoh|zqxv#9+w}I=4~oqLw?NmE(=`uL=WM=t5D=&5OtN_
z1zKgEG3Z||G`;z1afSWgyIudsN8l>uOVsK8|M_>A8t^g2<Hk$re~0+mNh&-BMtzP|
zw{qR9_fH>OFN9(=A}`bOzApKHh6MV&G>tkqjg$LceNadGe_zT3*!Pf4YHaFXbA!C^
zL)mgK__AFAxYXSLd0;;!c;JHcGnxO~0609*ncQl@6HZ$Dzc<ED69x}#k9CN<@#ueE
zPjCU4SKAd_%)fr``hou7fnm=!c>nji+rV-Ny@Ka<|KA4^f(J4=jynJ2l&&8Uib3SX
zaD`}f`o9lk0uNN%EZS4}pYQ(v5A>gY#n*EN`~Q`J*4epr4myK_BBWN;oaq;^8`T5t
zyDFV_W~Z&=_*@Ss9H*c*WYZ=XPGLATN0Y7~6Wl`xeABNf6Ig*b_P@4aKy3wfK$f6P
z3r@zAbF~)g7uv%G#wTfMX$|_jf<k@Wlyfwkr(vkxSyOVKpKFy_&5RbC-fMow-;4Z!
zhi#Rcqw>pAcRXD#|KYISa1VmsG0=3NuL3v(py?GO932qEnHnqB9kygNT-Yf`#t!%8
z#Q^7j4M67*0rd`<&Ud>#ppV9BUSYS=yV946Zcu1xQNe(9pTFbvUKZlEUFVloH@5Tw
z=}WL}wVDSV*Wxu#W9J@*`z69V1#*qH|IaP?kwJejy523&X66`FcfL>fkh?rY*4<u;
z_mn;f79}sYo<ouN1scCmmGJ{+A{q6i`(7uPhQu3CQIp}_`Q=Bzz};292*j}(_p0&3
znAA%^LpbxXk_mUmwXuXL_oE3QtE3w7okK~Ur{GNk%Af*$-hpY5{QemzKNi*kemE_i
zVNeECF$ARymf-aCbg)xolU6$es%b<GKoY6&S0}<T=$vN-ZuaEkAoq_kq9w2md*wZq
zuZOBE=ML8o_j$iT%m_0FkPWFkuP%<3oCH4q^e$>JpN(fJi=nqI92O}G5r~yvtD1r*
z7ioR^Ux&a#3v)va4H%uczXL+*0q>fGH#Ix%o>NjpSwz&Y5+I=$%w1tJ@JM%~`M#%Q
z)&jn=oGs||_Q53X2W=iWh<q3>`xUM2`7R4GXGW;U8AprFnkdkgYG<y^6O_U*?24fe
zmsHpJ{_QEF#n%t2g>T)Xzufjp5PM%9Qx;*wXKt#X6L_8smmM5NEc2Kcjzf@YXm^_j
zPya)}47dfO-g4@bx}eGiO>XO1Bu8^_F7KAIV^jO8eU7nXdg@UV591ls5&p0LhCM}Y
zDb2zzC>Z5)zf&;W?x$P71p3WgfEutqd{~bdHcbhn!L0$B7CwLdIP)h+QK-i^C##=j
z=U<jPZfQLdI9*OAdk~tB^F@_^L&f4=k4{ZYhgbo7=PoOZcSEMq@Z#$m`Om1K;_pAa
ztobQnbpeXKDyOtCTR()e5ChcGR>|~j=8f!rGU!Xf^^QR?(F!9?Tm#kT`!qZW;_bZw
zBifKgw}Pj?qmZ<kcrM>D)Xi~~ivIHf;8T_v1Vw22?s&WkE94cB{5EU7fYitsU*OS>
zS7pWv0Q5+Cb`2R+Zz3YvaG!Jw_X$sJdI~&AcpfH_E-Wjl87AmiYjk?G`^o;%!f##g
zHc@XWAeO;JA6yR_G`n2l2|A*-enmRolqXy9o}JdgL?JxCO@UE@$nJ6&{hr$JHGAex
zmK;!%9)0H~P|ov0*(;hP?0@V9hTI~Cq-=9{Bz;QODTOotEAl{pYvC_9=J0Hd&;$wY
zdEd8(LQ^SIZwMctvPa0XD?W`9hBe2PKcb?xGQf#gP^w{QXEoMZ=anpUyBAg0(PUzN
zq&OkFm-9p?h`Sc30lGbj{%FDZqhpoJbQke4@c}*JcG^et|B0mr6oLf{F!dU|=p~q|
z)=2E<uXN4<Jf^kfk4z)nR>J$0Jsul@%JPSfxK2*2J4P&6ntd%S&nrd@3S*{TzLF=C
zfis9?XUI_<v>4n{rsduHwF_i~x(j=%;4@F|89ZL`j&l6$f!J={)X-kNO$XP<A@LJ*
zd|x3Sm=;;wF`M#~k8I{Qd-d<K1AilW?WL?J_cia^L$OFv!}f-b3z8XQb!nVes(T$G
z9$k-~toX~jDRM~3`JhB^1U*poWtv#%_d@xa*<P8uOJrO46MiA2+L=1qgeGT+-UxwZ
zY`a?^m8z+s?a^0CEm~zPqPijyzTA5W!KZwf#JHIw3OXOE1_GYd@26IW@}aV5qlW(<
zWnF7nQt1{ZlvFfNDwdUG4%$e0%QOYNpm`_F(Z(!2N|9zsUZAne`=#mFsCWwz$t;C3
zFLhv2R8-Dnnxd4KGRr|rE?N#|6B<sQIlD8LM{57r&;Il6=iBRBYwh*E>wDg>6JR==
z9}T(v^R8YGXU__IIAmb1^j(_b3}$V(*I+M!C|Cnz3d_+g)>A0na#R%iU{t7n+tc&7
zw(_E6l%3;W>YO}pbU4Y1V!<(90h$P8Er*n5n&QNb&3YBffqI!1#g_#4Jnb%+-qy=i
zmf9-ILe#d3Ez^g0HuUf|?oQyp8o#pM4K~CNgD?@+vhbdQVxm`K^jDfeG0z5z_PjMC
zXAIri&zeCf=C0ZphExs%G7B<scqj$AoV&HAM30p6$~u86-DGPce+VipxP8;~+%JHV
z4Wf)7aLlHdxCwum7QC3pNbM>pa6O0L+y7Htxb3P7WM7RApL~7k=-ODKWv&z5_l!3c
z>c#pMl&4JD`BBdH9n@GX!Furt%nCeJ?&qG?RvzRZLqHhoi@AA?UW^$hML)i72mMCC
zrb~j+pO_x+_V%4h#^yGj9I?D|s(9MRr*6Ph?Jdwg#GRHLCE3_C?j&w@Eh=tMKE#ya
zoNP{ZXlwBY(FX3hG42GkPM67{N@A-w*!Fk(jZf6^T+Jmld%L?M#L?m{ru%)S$=bAe
zK=9FTNZvLm(Imu03a@FHOmLDqI0+A?l0nted)pY9?fCtbrfgX<dw63ipkqu84USF5
z15o3yv<E!V&aKne&acR`t39k?pbZGVd0XxON|DI0EMtZ3FrRx&s>fcJT~sSNc^(dT
z*fxJyc-caWhX~&@0kGwI&#$G*+cL(5g2iL@E8mSBL@H9NH^AP(r&rr)!%5O$_O9q=
zCI&!THBw5p%Q;42-`#Yrrv>Mm8rPP?1pOVgREX$h$9yHV-`DKPh~^KO%m}E9jhNUy
z!`Zfd1N+s(&=n^35a9{^j!W6(`6Gva9kUp?AN&4I>oxD!%g&g%TNwnJVDZJIY@~Qx
zwU~ttdSu<30=Vjpf)oq1jhya<h_ox<H-QG-_TAk;F8rIc_|qy<T-M``xN+;Q?URc^
z@6+x@kuh-8aww=5JqdR>-Aj_I1O@*VMDzGi>#@T2j;+sa>RaICgiiAYMNtETVDhh`
ztq!wJDk&PEMljwrm8Yw+m!IOQ>xZ37D#>{>=L&KRzFG4#0%pQRK=e-u#{78!MuB%b
z6>2>U>u-@_f{(!vR3)o^8Wm;+j#jpuY#G{->I@Dz(;_B7$Kp)5R@-e#x1j%qw12!G
zs89Wm2V@PQ;|Cs!iLN3jA2pm;>)lNJ{$&hApz>+J3R%`*OV8vtE5mxrDDxq)osf3S
zl=Lh|D}%?iKj!|Y!T$24Y{+I`TC~ylov4FZOonrKFLkzx-W2wN6S+%5uQv22uR(Bs
zj4|S1wc25&3462jV>)*K2!1O*5eIjY4Rl3J@V?JA*SVRKy4F)a)!Dt4*r0$}CU$(a
zl-SS7?{rkNee*z)BUSuNo+fgt<k0P(88Qg(3HEDTrN$T#=g=4DwRl?mrh8KWlO4%B
z|L+rcXxdEcn6Sp+LWmS*QspypLD;TZy266++adJDz0t={aaQ&5xa*aPDBpQz#%|ET
zfPky6>Gb_$_&8RSZg94)ld!t!eMtx^d`Z#>`F!HiZ)y;EtY}^7dFW6&W?Gc?tnwLd
zH53#n5&?Zp>gYVO>^ri#p@o=$o_!`G_PM)#=EfGbQDF5)BZvBL8}~07BY%tGnZMlm
zYjB%k)&$V4BEKH153T}VA??!ssT{XHzFF<2t|BB+6?IzF@Qu{{b*=nb8t148m=ibt
z=k@|wD9Dv8)j?Krt0Ymu*5TGOIcbB{yHO&>Kl-XnFv5KYkA$lFW)S{p_OatJ`f+`(
zdz^mYYqd3gV0Bcjqp|vXEWux|#zd|61P&jA{wOkrMx%W%N*AT(U-+z1<PPnI39{ia
zPPsBn82s>QNve{j!vjPu^baMh$2Ug-`mw;)%jSr-QZmz<zEh1{M?A|<+E-L}Ae%DB
zP4B&`0<!_E&DrcbC|)VG$HA;L$d|b|)BK9`3E(_w_c1F3*Dwq9sZ9;k$q}6wu8`*P
zNugP&;Fd$v1a#acCkbn9HUffxZw&Dl)xihUAHggtJYJtrIyQ9qb!)ZcO-ha8!#$<y
zZklNyKP2fduzRVJDBU`@B_`jzTo6PL2>-%Xa&SJwe0c;<N`RV0y6zjb@%g|7ggF5b
zV29KN9X<n-`QMK~p^sZ1m|b3F#Bh01nmroInM~ScIH}4;0DL76`zpSE>LZQhk+1~c
z%}<*IPV@je$^r@Uy(XW5hkxkFH-NEqB5ou=^E=Ax9~X3$R}uU*<ZJ7&PislLiuD;h
zAU2yC*&5xVpN^EhJQ=tsCigv0xUjJ8ND7{=lLoX>oRtSAqiYvnT&H2j-_q*3NzP3j
zUj#=o*qp$^B9JGp&Enc%ntYz(@_P&_<;9z3|Aln5#M2CyRO*xl>w)JKdm*rUOos0*
zA<f;-`F!>6YundG4@i8KzS*<kOX|THldVdjOfHZ2dMYQQJjmTGtsgyt?QCzN?GjNV
zci@ySY!i}gCW^R1TJq~I2S95VtJ9pR8=JWTim=`ZiUI&7AQtHiAM$o2o_##5VS<Wm
zX8)g{S##qbfV9^}V{%10*PX?KEx^8%`g$bzZE@kY&`Wu2y6TkqBbz>CIy&{4zCNQv
P0RfkvSD<IJ2R`S2w)CZK

diff --git a/chapter_stack_and_queue/deque/index.html b/chapter_stack_and_queue/deque/index.html
index d2b70f5d9..336dbd659 100644
--- a/chapter_stack_and_queue/deque/index.html
+++ b/chapter_stack_and_queue/deque/index.html
@@ -840,10 +840,10 @@
       
         <li class="md-nav__item">
   <a href="#532" class="md-nav__link">
-    5.3.2. 双向队列实现
+    5.3.2. 双向队列实现 *
   </a>
   
-    <nav class="md-nav" aria-label="5.3.2. 双向队列实现">
+    <nav class="md-nav" aria-label="5.3.2. 双向队列实现 *">
       <ul class="md-nav__list">
         
           <li class="md-nav__item">
@@ -851,6 +851,13 @@
     基于双向链表的实现
   </a>
   
+</li>
+        
+          <li class="md-nav__item">
+  <a href="#_2" class="md-nav__link">
+    基于数组的实现
+  </a>
+  
 </li>
         
       </ul>
@@ -1555,10 +1562,10 @@
       
         <li class="md-nav__item">
   <a href="#532" class="md-nav__link">
-    5.3.2. 双向队列实现
+    5.3.2. 双向队列实现 *
   </a>
   
-    <nav class="md-nav" aria-label="5.3.2. 双向队列实现">
+    <nav class="md-nav" aria-label="5.3.2. 双向队列实现 *">
       <ul class="md-nav__list">
         
           <li class="md-nav__item">
@@ -1566,6 +1573,13 @@
     基于双向链表的实现
   </a>
   
+</li>
+        
+          <li class="md-nav__item">
+  <a href="#_2" class="md-nav__link">
+    基于数组的实现
+  </a>
+  
 </li>
         
       </ul>
@@ -1904,9 +1918,11 @@
 </div>
 </div>
 </div>
-<h2 id="532">5.3.2. 双向队列实现<a class="headerlink" href="#532" title="Permanent link">&para;</a></h2>
-<p>双向队列需要一种可以在两端添加、两端删除的数据结构。与队列的实现方法类似，双向队列也可以使用双向链表和循环数组来实现。</p>
+<h2 id="532">5.3.2. 双向队列实现 *<a class="headerlink" href="#532" title="Permanent link">&para;</a></h2>
+<p>与队列类似，双向队列同样可以使用链表或数组来实现。</p>
 <h3 id="_1">基于双向链表的实现<a class="headerlink" href="#_1" title="Permanent link">&para;</a></h3>
+<p>回忆上节内容，由于可以方便地删除链表头结点（对应出队操作），以及在链表尾结点后添加新结点（对应入队操作），因此我们使用普通单向链表来实现队列。</p>
+<p>而双向队列的头部和尾部都可以执行入队与出队操作，换言之，双向队列的操作是“首尾对称”的，也需要实现另一个对称方向的操作。因此，双向队列需要使用「双向链表」来实现。</p>
 <p>我们将双向链表的头结点和尾结点分别看作双向队列的队首和队尾，并且实现在两端都能添加与删除结点。</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="2:5"><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">LinkedListDeque</label><label for="__tabbed_2_2">pushLast()</label><label for="__tabbed_2_3">pushFirst()</label><label for="__tabbed_2_4">pollLast()</label><label for="__tabbed_2_5">pollFirst()</label></div>
 <div class="tabbed-content">
@@ -1927,7 +1943,7 @@
 </div>
 </div>
 </div>
-<p>以下是使用双向链表实现双向队列的示例代码。</p>
+<p>以下是具体实现代码。</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="3:10"><input checked="checked" id="__tabbed_3_1" name="__tabbed_3" type="radio" /><input id="__tabbed_3_2" name="__tabbed_3" type="radio" /><input id="__tabbed_3_3" name="__tabbed_3" type="radio" /><input id="__tabbed_3_4" name="__tabbed_3" type="radio" /><input id="__tabbed_3_5" name="__tabbed_3" type="radio" /><input id="__tabbed_3_6" name="__tabbed_3" type="radio" /><input id="__tabbed_3_7" name="__tabbed_3" type="radio" /><input id="__tabbed_3_8" name="__tabbed_3" type="radio" /><input id="__tabbed_3_9" name="__tabbed_3" type="radio" /><input id="__tabbed_3_10" name="__tabbed_3" type="radio" /><div class="tabbed-labels"><label for="__tabbed_3_1">Java</label><label for="__tabbed_3_2">C++</label><label for="__tabbed_3_3">Python</label><label for="__tabbed_3_4">Go</label><label for="__tabbed_3_5">JavaScript</label><label for="__tabbed_3_6">TypeScript</label><label for="__tabbed_3_7">C</label><label for="__tabbed_3_8">C#</label><label for="__tabbed_3_9">Swift</label><label for="__tabbed_3_10">Zig</label></div>
 <div class="tabbed-content">
 <div class="tabbed-block">
@@ -2044,21 +2060,17 @@
 <a id="__codelineno-10-111" name="__codelineno-10-111" href="#__codelineno-10-111"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">isEmpty</span><span class="p">()</span><span class="w"> </span><span class="o">?</span><span class="w"> </span><span class="kc">null</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">rear</span><span class="p">.</span><span class="na">val</span><span class="p">;</span>
 <a id="__codelineno-10-112" name="__codelineno-10-112" href="#__codelineno-10-112"></a><span class="w">    </span><span class="p">}</span>
 <a id="__codelineno-10-113" name="__codelineno-10-113" href="#__codelineno-10-113"></a>
-<a id="__codelineno-10-114" name="__codelineno-10-114" href="#__codelineno-10-114"></a><span class="w">    </span><span class="cm">/* 打印双向队列 */</span>
-<a id="__codelineno-10-115" name="__codelineno-10-115" href="#__codelineno-10-115"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
-<a id="__codelineno-10-116" name="__codelineno-10-116" href="#__codelineno-10-116"></a><span class="w">        </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">isEmpty</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
-<a id="__codelineno-10-117" name="__codelineno-10-117" href="#__codelineno-10-117"></a><span class="w">            </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">&quot;[ ]&quot;</span><span class="p">);</span>
-<a id="__codelineno-10-118" name="__codelineno-10-118" href="#__codelineno-10-118"></a><span class="w">            </span><span class="k">return</span><span class="p">;</span>
-<a id="__codelineno-10-119" name="__codelineno-10-119" href="#__codelineno-10-119"></a><span class="w">        </span><span class="p">}</span>
-<a id="__codelineno-10-120" name="__codelineno-10-120" href="#__codelineno-10-120"></a><span class="w">        </span><span class="n">List</span><span class="o">&lt;</span><span class="n">String</span><span class="o">&gt;</span><span class="w"> </span><span class="n">list</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o">&lt;&gt;</span><span class="p">();</span>
-<a id="__codelineno-10-121" name="__codelineno-10-121" href="#__codelineno-10-121"></a><span class="w">        </span><span class="n">ListNode</span><span class="w"> </span><span class="n">head</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">front</span><span class="p">;</span>
-<a id="__codelineno-10-122" name="__codelineno-10-122" href="#__codelineno-10-122"></a><span class="w">        </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">head</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="kc">null</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
-<a id="__codelineno-10-123" name="__codelineno-10-123" href="#__codelineno-10-123"></a><span class="w">            </span><span class="n">list</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">String</span><span class="p">.</span><span class="na">valueOf</span><span class="p">(</span><span class="n">head</span><span class="p">.</span><span class="na">val</span><span class="p">));</span>
-<a id="__codelineno-10-124" name="__codelineno-10-124" href="#__codelineno-10-124"></a><span class="w">            </span><span class="n">head</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">head</span><span class="p">.</span><span class="na">next</span><span class="p">;</span>
-<a id="__codelineno-10-125" name="__codelineno-10-125" href="#__codelineno-10-125"></a><span class="w">        </span><span class="p">}</span>
-<a id="__codelineno-10-126" name="__codelineno-10-126" href="#__codelineno-10-126"></a><span class="w">        </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">&quot;[&quot;</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">String</span><span class="p">.</span><span class="na">join</span><span class="p">(</span><span class="s">&quot;, &quot;</span><span class="p">,</span><span class="w"> </span><span class="n">list</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">&quot;]&quot;</span><span class="p">);</span>
-<a id="__codelineno-10-127" name="__codelineno-10-127" href="#__codelineno-10-127"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-10-128" name="__codelineno-10-128" href="#__codelineno-10-128"></a><span class="p">}</span>
+<a id="__codelineno-10-114" name="__codelineno-10-114" href="#__codelineno-10-114"></a><span class="w">    </span><span class="cm">/* 返回数组用于打印 */</span>
+<a id="__codelineno-10-115" name="__codelineno-10-115" href="#__codelineno-10-115"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="nf">toArray</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-10-116" name="__codelineno-10-116" href="#__codelineno-10-116"></a><span class="w">        </span><span class="n">ListNode</span><span class="w"> </span><span class="n">node</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">front</span><span class="p">;</span>
+<a id="__codelineno-10-117" name="__codelineno-10-117" href="#__codelineno-10-117"></a><span class="w">        </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="o">[</span><span class="n">size</span><span class="p">()</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-10-118" name="__codelineno-10-118" href="#__codelineno-10-118"></a><span class="w">        </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">res</span><span class="p">.</span><span class="na">length</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-10-119" name="__codelineno-10-119" href="#__codelineno-10-119"></a><span class="w">            </span><span class="n">res</span><span class="o">[</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">node</span><span class="p">.</span><span class="na">val</span><span class="p">;</span>
+<a id="__codelineno-10-120" name="__codelineno-10-120" href="#__codelineno-10-120"></a><span class="w">            </span><span class="n">node</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">node</span><span class="p">.</span><span class="na">next</span><span class="p">;</span>
+<a id="__codelineno-10-121" name="__codelineno-10-121" href="#__codelineno-10-121"></a><span class="w">        </span><span class="p">}</span>
+<a id="__codelineno-10-122" name="__codelineno-10-122" href="#__codelineno-10-122"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">res</span><span class="p">;</span>
+<a id="__codelineno-10-123" name="__codelineno-10-123" href="#__codelineno-10-123"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-10-124" name="__codelineno-10-124" href="#__codelineno-10-124"></a><span class="p">}</span>
 </code></pre></div>
 </div>
 <div class="tabbed-block">
@@ -2343,6 +2355,175 @@
 </div>
 </div>
 </div>
+<h3 id="_2">基于数组的实现<a class="headerlink" href="#_2" title="Permanent link">&para;</a></h3>
+<p>与基于数组实现队列类似，我们也可以使用环形数组来实现双向队列。在实现队列的基础上，增加实现“队首入队”和“队尾出队”方法即可。</p>
+<div class="tabbed-set tabbed-alternate" data-tabs="4:5"><input checked="checked" id="__tabbed_4_1" name="__tabbed_4" type="radio" /><input id="__tabbed_4_2" name="__tabbed_4" type="radio" /><input id="__tabbed_4_3" name="__tabbed_4" type="radio" /><input id="__tabbed_4_4" name="__tabbed_4" type="radio" /><input id="__tabbed_4_5" name="__tabbed_4" type="radio" /><div class="tabbed-labels"><label for="__tabbed_4_1">ArrayDeque</label><label for="__tabbed_4_2">pushLast()</label><label for="__tabbed_4_3">pushFirst()</label><label for="__tabbed_4_4">pollLast()</label><label for="__tabbed_4_5">pollFirst()</label></div>
+<div class="tabbed-content">
+<div class="tabbed-block">
+<p><img alt="array_deque" src="../deque.assets/array_deque.png" /></p>
+</div>
+<div class="tabbed-block">
+<p><img alt="array_deque_push_last" src="../deque.assets/array_deque_push_last.png" /></p>
+</div>
+<div class="tabbed-block">
+<p><img alt="array_deque_push_first" src="../deque.assets/array_deque_push_first.png" /></p>
+</div>
+<div class="tabbed-block">
+<p><img alt="array_deque_poll_last" src="../deque.assets/array_deque_poll_last.png" /></p>
+</div>
+<div class="tabbed-block">
+<p><img alt="array_deque_poll_first" src="../deque.assets/array_deque_poll_first.png" /></p>
+</div>
+</div>
+</div>
+<p>以下是具体实现代码。</p>
+<div class="tabbed-set tabbed-alternate" data-tabs="5:10"><input checked="checked" id="__tabbed_5_1" name="__tabbed_5" type="radio" /><input id="__tabbed_5_2" name="__tabbed_5" type="radio" /><input id="__tabbed_5_3" name="__tabbed_5" type="radio" /><input id="__tabbed_5_4" name="__tabbed_5" type="radio" /><input id="__tabbed_5_5" name="__tabbed_5" type="radio" /><input id="__tabbed_5_6" name="__tabbed_5" type="radio" /><input id="__tabbed_5_7" name="__tabbed_5" type="radio" /><input id="__tabbed_5_8" name="__tabbed_5" type="radio" /><input id="__tabbed_5_9" name="__tabbed_5" type="radio" /><input id="__tabbed_5_10" name="__tabbed_5" type="radio" /><div class="tabbed-labels"><label for="__tabbed_5_1">Java</label><label for="__tabbed_5_2">C++</label><label for="__tabbed_5_3">Python</label><label for="__tabbed_5_4">Go</label><label for="__tabbed_5_5">JavaScript</label><label for="__tabbed_5_6">TypeScript</label><label for="__tabbed_5_7">C</label><label for="__tabbed_5_8">C#</label><label for="__tabbed_5_9">Swift</label><label for="__tabbed_5_10">Zig</label></div>
+<div class="tabbed-content">
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.java</span><pre><span></span><code><a id="__codelineno-20-1" name="__codelineno-20-1" href="#__codelineno-20-1"></a><span class="cm">/* 基于环形数组实现的双向队列 */</span>
+<a id="__codelineno-20-2" name="__codelineno-20-2" href="#__codelineno-20-2"></a><span class="kd">class</span> <span class="nc">ArrayDeque</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-3" name="__codelineno-20-3" href="#__codelineno-20-3"></a><span class="w">    </span><span class="kd">private</span><span class="w"> </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">nums</span><span class="p">;</span><span class="w">  </span><span class="c1">// 用于存储双向队列元素的数组</span>
+<a id="__codelineno-20-4" name="__codelineno-20-4" href="#__codelineno-20-4"></a><span class="w">    </span><span class="kd">private</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">front</span><span class="p">;</span><span class="w">   </span><span class="c1">// 队首指针，指向队首元素</span>
+<a id="__codelineno-20-5" name="__codelineno-20-5" href="#__codelineno-20-5"></a><span class="w">    </span><span class="kd">private</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">queSize</span><span class="p">;</span><span class="w"> </span><span class="c1">// 双向队列长度</span>
+<a id="__codelineno-20-6" name="__codelineno-20-6" href="#__codelineno-20-6"></a>
+<a id="__codelineno-20-7" name="__codelineno-20-7" href="#__codelineno-20-7"></a><span class="w">    </span><span class="cm">/* 构造方法 */</span>
+<a id="__codelineno-20-8" name="__codelineno-20-8" href="#__codelineno-20-8"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="nf">ArrayDeque</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">capacity</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-9" name="__codelineno-20-9" href="#__codelineno-20-9"></a><span class="w">        </span><span class="k">this</span><span class="p">.</span><span class="na">nums</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="o">[</span><span class="n">capacity</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-20-10" name="__codelineno-20-10" href="#__codelineno-20-10"></a><span class="w">        </span><span class="n">front</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">queSize</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
+<a id="__codelineno-20-11" name="__codelineno-20-11" href="#__codelineno-20-11"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-12" name="__codelineno-20-12" href="#__codelineno-20-12"></a>
+<a id="__codelineno-20-13" name="__codelineno-20-13" href="#__codelineno-20-13"></a><span class="w">    </span><span class="cm">/* 获取双向队列的容量 */</span>
+<a id="__codelineno-20-14" name="__codelineno-20-14" href="#__codelineno-20-14"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">capacity</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-15" name="__codelineno-20-15" href="#__codelineno-20-15"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="na">length</span><span class="p">;</span>
+<a id="__codelineno-20-16" name="__codelineno-20-16" href="#__codelineno-20-16"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-17" name="__codelineno-20-17" href="#__codelineno-20-17"></a>
+<a id="__codelineno-20-18" name="__codelineno-20-18" href="#__codelineno-20-18"></a><span class="w">    </span><span class="cm">/* 获取双向队列的长度 */</span>
+<a id="__codelineno-20-19" name="__codelineno-20-19" href="#__codelineno-20-19"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-20" name="__codelineno-20-20" href="#__codelineno-20-20"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">queSize</span><span class="p">;</span>
+<a id="__codelineno-20-21" name="__codelineno-20-21" href="#__codelineno-20-21"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-22" name="__codelineno-20-22" href="#__codelineno-20-22"></a>
+<a id="__codelineno-20-23" name="__codelineno-20-23" href="#__codelineno-20-23"></a><span class="w">    </span><span class="cm">/* 判断双向队列是否为空 */</span>
+<a id="__codelineno-20-24" name="__codelineno-20-24" href="#__codelineno-20-24"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">boolean</span><span class="w"> </span><span class="nf">isEmpty</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-25" name="__codelineno-20-25" href="#__codelineno-20-25"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">queSize</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
+<a id="__codelineno-20-26" name="__codelineno-20-26" href="#__codelineno-20-26"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-27" name="__codelineno-20-27" href="#__codelineno-20-27"></a>
+<a id="__codelineno-20-28" name="__codelineno-20-28" href="#__codelineno-20-28"></a><span class="w">    </span><span class="cm">/* 计算环形数组索引 */</span>
+<a id="__codelineno-20-29" name="__codelineno-20-29" href="#__codelineno-20-29"></a><span class="w">    </span><span class="kd">private</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">index</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-30" name="__codelineno-20-30" href="#__codelineno-20-30"></a><span class="w">        </span><span class="c1">// 通过取余操作实现数组首尾相连</span>
+<a id="__codelineno-20-31" name="__codelineno-20-31" href="#__codelineno-20-31"></a><span class="w">        </span><span class="c1">// 当 i 越过数组尾部后，回到头部</span>
+<a id="__codelineno-20-32" name="__codelineno-20-32" href="#__codelineno-20-32"></a><span class="w">        </span><span class="c1">// 当 i 越过数组头部后，回到尾部</span>
+<a id="__codelineno-20-33" name="__codelineno-20-33" href="#__codelineno-20-33"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">capacity</span><span class="p">())</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">capacity</span><span class="p">();</span>
+<a id="__codelineno-20-34" name="__codelineno-20-34" href="#__codelineno-20-34"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-35" name="__codelineno-20-35" href="#__codelineno-20-35"></a>
+<a id="__codelineno-20-36" name="__codelineno-20-36" href="#__codelineno-20-36"></a><span class="w">    </span><span class="cm">/* 队首入队 */</span>
+<a id="__codelineno-20-37" name="__codelineno-20-37" href="#__codelineno-20-37"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">pushFirst</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">num</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-38" name="__codelineno-20-38" href="#__codelineno-20-38"></a><span class="w">        </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">queSize</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">capacity</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-39" name="__codelineno-20-39" href="#__codelineno-20-39"></a><span class="w">            </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">&quot;双向队列已满&quot;</span><span class="p">);</span>
+<a id="__codelineno-20-40" name="__codelineno-20-40" href="#__codelineno-20-40"></a><span class="w">            </span><span class="k">return</span><span class="p">;</span>
+<a id="__codelineno-20-41" name="__codelineno-20-41" href="#__codelineno-20-41"></a><span class="w">        </span><span class="p">}</span>
+<a id="__codelineno-20-42" name="__codelineno-20-42" href="#__codelineno-20-42"></a><span class="w">        </span><span class="c1">// 队首指针向左移动一位</span>
+<a id="__codelineno-20-43" name="__codelineno-20-43" href="#__codelineno-20-43"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 front 越过数组头部后回到尾部</span>
+<a id="__codelineno-20-44" name="__codelineno-20-44" href="#__codelineno-20-44"></a><span class="w">        </span><span class="n">front</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+<a id="__codelineno-20-45" name="__codelineno-20-45" href="#__codelineno-20-45"></a><span class="w">        </span><span class="c1">// 将 num 添加至队首</span>
+<a id="__codelineno-20-46" name="__codelineno-20-46" href="#__codelineno-20-46"></a><span class="w">        </span><span class="n">nums</span><span class="o">[</span><span class="n">front</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
+<a id="__codelineno-20-47" name="__codelineno-20-47" href="#__codelineno-20-47"></a><span class="w">        </span><span class="n">queSize</span><span class="o">++</span><span class="p">;</span>
+<a id="__codelineno-20-48" name="__codelineno-20-48" href="#__codelineno-20-48"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-49" name="__codelineno-20-49" href="#__codelineno-20-49"></a>
+<a id="__codelineno-20-50" name="__codelineno-20-50" href="#__codelineno-20-50"></a><span class="w">    </span><span class="cm">/* 队尾入队 */</span>
+<a id="__codelineno-20-51" name="__codelineno-20-51" href="#__codelineno-20-51"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">pushLast</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">num</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-52" name="__codelineno-20-52" href="#__codelineno-20-52"></a><span class="w">        </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">queSize</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">capacity</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-53" name="__codelineno-20-53" href="#__codelineno-20-53"></a><span class="w">            </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">&quot;双向队列已满&quot;</span><span class="p">);</span>
+<a id="__codelineno-20-54" name="__codelineno-20-54" href="#__codelineno-20-54"></a><span class="w">            </span><span class="k">return</span><span class="p">;</span>
+<a id="__codelineno-20-55" name="__codelineno-20-55" href="#__codelineno-20-55"></a><span class="w">        </span><span class="p">}</span>
+<a id="__codelineno-20-56" name="__codelineno-20-56" href="#__codelineno-20-56"></a><span class="w">        </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
+<a id="__codelineno-20-57" name="__codelineno-20-57" href="#__codelineno-20-57"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">queSize</span><span class="p">);</span>
+<a id="__codelineno-20-58" name="__codelineno-20-58" href="#__codelineno-20-58"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
+<a id="__codelineno-20-59" name="__codelineno-20-59" href="#__codelineno-20-59"></a><span class="w">        </span><span class="n">nums</span><span class="o">[</span><span class="n">rear</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
+<a id="__codelineno-20-60" name="__codelineno-20-60" href="#__codelineno-20-60"></a><span class="w">        </span><span class="n">queSize</span><span class="o">++</span><span class="p">;</span>
+<a id="__codelineno-20-61" name="__codelineno-20-61" href="#__codelineno-20-61"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-62" name="__codelineno-20-62" href="#__codelineno-20-62"></a>
+<a id="__codelineno-20-63" name="__codelineno-20-63" href="#__codelineno-20-63"></a><span class="w">    </span><span class="cm">/* 队首出队 */</span>
+<a id="__codelineno-20-64" name="__codelineno-20-64" href="#__codelineno-20-64"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">pollFirst</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-65" name="__codelineno-20-65" href="#__codelineno-20-65"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">num</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">peekFirst</span><span class="p">();</span>
+<a id="__codelineno-20-66" name="__codelineno-20-66" href="#__codelineno-20-66"></a><span class="w">        </span><span class="c1">// 队首指针向后移动一位</span>
+<a id="__codelineno-20-67" name="__codelineno-20-67" href="#__codelineno-20-67"></a><span class="w">        </span><span class="n">front</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+<a id="__codelineno-20-68" name="__codelineno-20-68" href="#__codelineno-20-68"></a><span class="w">        </span><span class="n">queSize</span><span class="o">--</span><span class="p">;</span>
+<a id="__codelineno-20-69" name="__codelineno-20-69" href="#__codelineno-20-69"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
+<a id="__codelineno-20-70" name="__codelineno-20-70" href="#__codelineno-20-70"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-71" name="__codelineno-20-71" href="#__codelineno-20-71"></a>
+<a id="__codelineno-20-72" name="__codelineno-20-72" href="#__codelineno-20-72"></a><span class="w">    </span><span class="cm">/* 队尾出队 */</span>
+<a id="__codelineno-20-73" name="__codelineno-20-73" href="#__codelineno-20-73"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">pollLast</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-74" name="__codelineno-20-74" href="#__codelineno-20-74"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">num</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">peekLast</span><span class="p">();</span>
+<a id="__codelineno-20-75" name="__codelineno-20-75" href="#__codelineno-20-75"></a><span class="w">        </span><span class="n">queSize</span><span class="o">--</span><span class="p">;</span>
+<a id="__codelineno-20-76" name="__codelineno-20-76" href="#__codelineno-20-76"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
+<a id="__codelineno-20-77" name="__codelineno-20-77" href="#__codelineno-20-77"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-78" name="__codelineno-20-78" href="#__codelineno-20-78"></a>
+<a id="__codelineno-20-79" name="__codelineno-20-79" href="#__codelineno-20-79"></a><span class="w">    </span><span class="cm">/* 访问队首元素 */</span>
+<a id="__codelineno-20-80" name="__codelineno-20-80" href="#__codelineno-20-80"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">peekFirst</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-81" name="__codelineno-20-81" href="#__codelineno-20-81"></a><span class="w">        </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">isEmpty</span><span class="p">())</span>
+<a id="__codelineno-20-82" name="__codelineno-20-82" href="#__codelineno-20-82"></a><span class="w">            </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">EmptyStackException</span><span class="p">();</span>
+<a id="__codelineno-20-83" name="__codelineno-20-83" href="#__codelineno-20-83"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">nums</span><span class="o">[</span><span class="n">front</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-20-84" name="__codelineno-20-84" href="#__codelineno-20-84"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-85" name="__codelineno-20-85" href="#__codelineno-20-85"></a>
+<a id="__codelineno-20-86" name="__codelineno-20-86" href="#__codelineno-20-86"></a><span class="w">    </span><span class="cm">/* 访问队尾元素 */</span>
+<a id="__codelineno-20-87" name="__codelineno-20-87" href="#__codelineno-20-87"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">peekLast</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-88" name="__codelineno-20-88" href="#__codelineno-20-88"></a><span class="w">        </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">isEmpty</span><span class="p">())</span>
+<a id="__codelineno-20-89" name="__codelineno-20-89" href="#__codelineno-20-89"></a><span class="w">            </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">EmptyStackException</span><span class="p">();</span>
+<a id="__codelineno-20-90" name="__codelineno-20-90" href="#__codelineno-20-90"></a><span class="w">        </span><span class="c1">// 计算尾元素索引</span>
+<a id="__codelineno-20-91" name="__codelineno-20-91" href="#__codelineno-20-91"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">last</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">queSize</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+<a id="__codelineno-20-92" name="__codelineno-20-92" href="#__codelineno-20-92"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">nums</span><span class="o">[</span><span class="n">last</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-20-93" name="__codelineno-20-93" href="#__codelineno-20-93"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-94" name="__codelineno-20-94" href="#__codelineno-20-94"></a>
+<a id="__codelineno-20-95" name="__codelineno-20-95" href="#__codelineno-20-95"></a><span class="w">    </span><span class="cm">/* 返回数组用于打印 */</span>
+<a id="__codelineno-20-96" name="__codelineno-20-96" href="#__codelineno-20-96"></a><span class="w">    </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="nf">toArray</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-97" name="__codelineno-20-97" href="#__codelineno-20-97"></a><span class="w">        </span><span class="c1">// 仅转换有效长度范围内的列表元素</span>
+<a id="__codelineno-20-98" name="__codelineno-20-98" href="#__codelineno-20-98"></a><span class="w">        </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="o">[</span><span class="n">queSize</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-20-99" name="__codelineno-20-99" href="#__codelineno-20-99"></a><span class="w">        </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">front</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">queSize</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<a id="__codelineno-20-100" name="__codelineno-20-100" href="#__codelineno-20-100"></a><span class="w">            </span><span class="n">res</span><span class="o">[</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="o">[</span><span class="n">index</span><span class="p">(</span><span class="n">j</span><span class="p">)</span><span class="o">]</span><span class="p">;</span>
+<a id="__codelineno-20-101" name="__codelineno-20-101" href="#__codelineno-20-101"></a><span class="w">        </span><span class="p">}</span>
+<a id="__codelineno-20-102" name="__codelineno-20-102" href="#__codelineno-20-102"></a><span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">res</span><span class="p">;</span>
+<a id="__codelineno-20-103" name="__codelineno-20-103" href="#__codelineno-20-103"></a><span class="w">    </span><span class="p">}</span>
+<a id="__codelineno-20-104" name="__codelineno-20-104" href="#__codelineno-20-104"></a><span class="p">}</span>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.cpp</span><pre><span></span><code><a id="__codelineno-21-1" name="__codelineno-21-1" href="#__codelineno-21-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.py</span><pre><span></span><code><a id="__codelineno-22-1" name="__codelineno-22-1" href="#__codelineno-22-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.go</span><pre><span></span><code><a id="__codelineno-23-1" name="__codelineno-23-1" href="#__codelineno-23-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.js</span><pre><span></span><code><a id="__codelineno-24-1" name="__codelineno-24-1" href="#__codelineno-24-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.ts</span><pre><span></span><code><a id="__codelineno-25-1" name="__codelineno-25-1" href="#__codelineno-25-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.c</span><pre><span></span><code><a id="__codelineno-26-1" name="__codelineno-26-1" href="#__codelineno-26-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.cs</span><pre><span></span><code><a id="__codelineno-27-1" name="__codelineno-27-1" href="#__codelineno-27-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.swift</span><pre><span></span><code><a id="__codelineno-28-1" name="__codelineno-28-1" href="#__codelineno-28-1"></a>
+</code></pre></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><span class="filename">array_deque.zig</span><pre><span></span><code><a id="__codelineno-29-1" name="__codelineno-29-1" href="#__codelineno-29-1"></a>
+</code></pre></div>
+</div>
+</div>
+</div>
 
 
 
diff --git a/chapter_stack_and_queue/queue.assets/array_queue.png b/chapter_stack_and_queue/queue.assets/array_queue.png
index afbecd9154cf9791fa1f341f9e20cb8ec547302b..3c4c3901685dfd19b69b9d1a162902671943d390 100644
GIT binary patch
literal 71309
zcmdpebyQSc+c%{G3KD_>5{h)Fq%;;tBQVsE5<??hQU)lgbPcF53^n8oNDhk94Ks8%
zLw5~)$LG26exK)lzqP)<KUl1DT<e^@_t|mnUtHS{n(B%a<c#D51OyaH&z@)z5L^Im
ziMmONfQvk<G9hpwbkkCNL{Qjya|!szTPuAfYc(|jUf`aT-~u5H0rBrgfL{Va#(%y1
z`xRwEra$*ugxr5U1C$wROF;6k=LrZ5f$Q%dGvM#{JO92Ce<u99#Lq<MPhTMTOniP%
z)D1jM5cuTbE8s%*@|l4f0RiRD-+zShe3VQ;y9tz@Jk;?fT!CJC1)4i-icO^;qtYey
zTfg-{-s;;8EJzPFT>!?}Van}Lopz`|1gcQ-<y8GUWh>Iwm!BPm{MO&b%bcNSDei{4
zIXgK$YV7FPf3;O9yCBh3UB|_SKCWS}DK5SjahZrJh=7ERfRI$4;NQ1Y%OtmnS<RfB
zoD>ukJUu;4HaX@B_@t$cM3XeM<59aJ8?7JS{^u*e+wX%kp4*aSQ-2|U&tLcA#fxQ3
z{&hM!I<|@pA*(zh%9{^9CL|=p#?EYd_s7(x$;1lRbCSLJM=2!g^~<^zi+v^+E?ns8
z>Dk=eq+k@`)=o&c6~y7czc!ZdlzThZRE}uS-Pn9tak7Dp<{!<Uj18)&7xC@OGi9Ku
zuZobnfB(7AAOzHCkY|DsSun2l<iRmfQ=4Oov<dQSoG=mT%R(Wxpo)N$S?d4jhTlC>
zFGrX!h!_+JnJpx571Jv@73iryJUnc@DDFINw4Ld%y9OqJSXr%(R%&0!3JCA53oU$+
z3*NaEn%ik(yuDOLnD*bDOAwrShpjT7u^oOTcGtt!Oad0XE5gIWBPNEee#%PpKt|^G
zXU2TfLaP%xxEIN;!j>)l^ujLv<1;mvND8iq_3C9PkX?rbh2JGJGu{%n$EqG%R7y_L
z*SF%=21^=pOsyi-mIs>6^8F$gQA%duOzkVFPD6?}{@E-7vID)un5w)cJ2Un-k!u(@
zcAIfT>gubv1iGVG1Q-)@t*F09?X2~qc9>qqyq1NK>VQ>_jGuj0Q7y$w@3#;Cnmm8c
zqbr1og(5M159rt$1{*)JB;4w;kFD1wuCT+jR<aztkN-ZrtL!0xDZ<o`FAwmzARH-7
znEo*UliXxCzSzfQV^S6N^Q<kJon3#3)r;7bdpZr3!d4s12@7bWkqc#foA%lAsTw0$
zh<@87ry<|_|8qY7yGe>l^~;)k5?0N*ZQcb_4$q?FIxz4jg;|9%Ou0`8aKW9&9`k<C
zUcJ-lqwsm@w&GnzxFhDUxzX%=S^WKFysGs)5|NI1F+`#jNA7vg$5K@CbYJLdiQl^Q
zog|Lb%=QK7R$@;rd9Rh@cJr&07e_jgSh0?6vcH$uUuESO5h-}5NFqq%*+f|~Rd;zP
za1MGbN`}IshOaBk8$x^yZwK}D_Ue3kUNhe}-ddbU-Ygbx*ib&TS`vNlpPxv_W`-){
zv40DX&k%~hie`k}4~ehnt*5C`An@CHATF*)o4INcKL7(;ENb7M?}PZM!%GhTxsr9r
z3E_;OcL8_uSe8m(V8e{aOj=Ch1!(FS7#Q|~g$>J>3M<U<zLtVBQ?&n_mX#!wOPycO
zB<;&9)HAskKVB)<(ks=w5S}d$fk0A8&oZ(Zel_3AXys>Wke>cu-uEDhAVrn-!;}!F
zA-I?oP*Iprz2wc7UDb;0CTut2!~FnJ3+ed;jX&Y)d|c!~wD)K*q*|yso!oh>d;I}4
zBc|3@Cyp>-F71w^ox853wC+yTlXBajzu(owknG@Vu`bD7c~0R+w+Mni-=<<_W~Qah
z6kL){{k(hwnoCU-lcSIz8D9)4(Ct-Tu)D;c>3H?BnRYKp?!Hg~i`bh@%A8LRd%4f2
zu19kH_vw5=TC)|ZoHml3xkSOo1QbSzfwU`wh}L+;Fi@h8<!s>{M4N>Z&?i!?gUe~}
z)G(aw7preqzWWmoL5gNw=`y`&ke;0AV*(=7yP#9vZc|betYW83nd|{aUQew;l_V32
zh1Td!5cEsqo<aQsM<2))vGZn7<wz18?H6{O=os_$Um+yzrzbkP9PIqluB|PvH=ycg
z?ml93vCn8(^#g&}Sj@m)*KpP=0op6)y_%O1bei0TcF$*(5_rVcOtx5bp)A+=<9_TK
zh>MWV7?A|RVZ{_a5tJtyHS$ICI5<0Ax%j8*f9)s1j9m3UKQabhcsNMNZU$8z<gisC
zDdtmW=jot*`zA}}JOaJFM;If0>%^6Tkt8aFAW-5aMXe?;F7Dg7k5OV1lu(Q<4Rm8<
ziHt)(;=*5(Etri<K8CB=lxpmayc+f7-O!ZVtZ!F+!*%)05aw0>`oLoDxRwej>}I>k
zW&HY2m!4OsPbA2|_X)Rijm*q#T?<_Z1~dOx(}8u$W<&PvXF;WC>Hd4sdUdOt$Twds
z&I|Yx5Q61NZ+x<cIej45OK29m{ZaWt@IPuJAtwA_;QY>BQuj`fao6iFO*@4DTr&nF
z5i0^M1bVu#e&T-w2~u?;(#gqJcX!DD`$gVl0-|p*!CK6JdOnAaL`X=e?(FpVaC>27
zoc`K1ev_JmMALwh^e_fnTiY^7*Z4OV3lkHQUv?V?c1yjm<&E)LKYv+7@pgSMaa)4G
zNR>x^7h}8rlg0&YiNKT1rm<?T#64sl9*0GwO1RButEJ{u-C7QnZ>D;GCHd1ms`DAc
zrb$gyIb<Fqe&2<T2b|irGE}xO1j%sh`T8q}khuLpX=y2o|4vVHbF<4#BXdV{7MZEf
z935t(nLXMaD7!uH&aZ{`<Qei<Zx$iTXATYpyV0z2Cd#{40}mQLKYUZrXPd(!r;K@$
z_lTm~K)LED8Iry<P&DDcKen*bM*mT2?b~B=A50zyeLS{qq~XB_JsWlFYB?C0IK`Gh
zG}eRi_Hu|#0}kgFdooAL9l;pK=W-;E-qceEo<6pC7D4o<Z{r?*W|Mod%#;q2^AQsu
zlS*PV`Dl70QFAcQK43z7JJf_x_wJX7X^*9nJFwY_0)w(U*Vb#cJ3Uv2<0X7Et*hOa
zXx<-z9JP|})*XEHLiJ^<`AvV|Dv*<tGxc<LNA5m|d~@lliCc%LdbGxISKw(G-H9x5
zntJXWlhe1UTzGnlh;7UcLd84(SH-xm%4ViQB(ECYt`AB^%lQCz<)<uur;nC~@{DGF
zem;s>3JZBy%XqlZ2~CZOnHHV|8e%_QQ`x2X;FhL18Cwu;-Vf6M?|B<6smjL1w~Y3B
z!k;q#geu+V-m8w9jot7qjjDV6E5&;+8~b_unxdGME0ztBHa(~K<Bq}K{nf<c*M4T6
zT<y8qD{c2n#Wy}&|JAD#21uHDm?~6KR7R#&ugIj6F@nHz&e<`jY34ZvCvkyJ@yRm8
zC{3z_m74m?7qxV02?+_GpYN&5zlrKR_Vg^TT^+05FE($mZcp0W8*%1Sali{bv6!gy
zM}RBp7QcoI2@9{XE4iayIB^8=eN>k_J(z(K=@Vb40;4NRvJbZQ+Js*nyvztlqsl2G
zp{n=T!wA3p_e7Lu=Ab$}L>ny+yym`fPpIIbwja|Kg@c6nR-I6|6NSc*Zg&;<)SyDg
zqex``ppnU0RZUHlLP^1Mxqm6iBI*+_Zm=Y?%%g+K1RYS@#|~D}f*oZMa406;HC^+y
zbB<Rk)GJD_jqd>(uX49mCq(x!r63p6z}fzOq*thZ7dH@y-yKk!<;r-qb$Yzc>NV=(
zHQ`^e`9Lm_-$2M^`e&hW_0hF@-#nkmPHzkQFYEDoCQGXmrB-dI0TbNLgvWp}SK7<h
zyGAd+U%*oSq}ou3WRzf!e=jINTwu;C<$rp(aC}nreL;_)Go|E~=B3|bJgEX{J|APX
z`ZD(f=D>&HQHOBj=YwA@2FIbj$%hRA_N*5^P;bsaK53f>EVX}+%e-DcJfj?&4EoZ7
zvtucG66Z96wCzI&2KH&Ht4Cccy7RTL6DkFURlWE{ZpH5S!t;1<^{VWFnbJhmN%RjS
z|K76+YOk1Vt$xLClw&q<J|!ENNqm;fEZ<Sl*_C49-uCaF91c*z0EeZ$Y&8`;&6CS;
zknZi8hi@*zKrdW)<b7-fx&;J;UZR)#?YB;=zORhIo(?dHIlRPR3k-x4g}g4jyc}Gm
zL_laHJ|UGE^6$9X4<a&HngZ($e_x2K`ZAdnLt^~>1G@Z_N=zi*fJ{qDzC%Q;f-Bwo
zD|LN}g@bmkSo@93*9CPpFnXr`^U09bOp;7l*hMM##mTT8w`!klYvHGr$Ry{wLxpH$
zF_zAZ<fScx8B>7{f;!Cqcn{TCPhnMQ>OJ+Yce)6D>Z|6bTeUkKepgT+JM2VRw8+Tk
zKyLu~wTRbpF_lzGZLHj+68v(+?mnC52rw-6$4psg=UYZxsC<CaCmShuy7IjeMVEte
z3`-OF)Q^yk@F%5v9Y>qOT^gn#a0iO;_xuhc!uwlIKfb<DwrlO$=1*eW>|2<s77w)r
zFMT`sF{^&aWop#zIQb<z?3Ag_GZ+GD@oc()SHD{@!R>kkHuPQ@LVYP#!kq*!%wH8~
zp$}OfpG`iNquVSnwY1-GFk;-qsLYoaKiB&HVPQlun2Dy!I%E|XX;g5rP_jast&|PB
zO~>uQq@>4>-E<s#BMQl?T1D(CAc{H+^N+8}SZa04&LHz+DR-YkQ|ed9KW@drk)rit
z2k?vlp>ph^A^eIX$8NqUemN^v-Bl7lm_kxGR+&bqe3l~14PJw~(6uy1GD*$w4Pe{t
z*2z(q6NfHT)zBhp^M4QrOFjaIThT<M;V(?u??FVZZMyGZM3WG|MnZi!boLHoZzFw3
z+{L#jtm=6%KleQ2v@e9NvA<3Bv><0-Jt}D*W4_QyVXlYIoGoXQTZT<k570Rq(QMAV
z9d&c+kXsM~x0bo8_d_^D7woSt3-C4UuM253Xjk~@p53f-)*G*Ux;Z5!{@_@XCKl=h
zeHRI~)_X>PtGVfB8RedhjGf0u-IVCv(>w%m(4B2Y2iimyX0IEf=kM5On7i4$tlX+C
z4<U$jM&orqDUVBn6BVmfm!6q0oR&3_7jyCYv^jhTyg=fOUk^MxKH2W_zj!urhR>)l
zT|UaoFWlN=g+YL=sY~wcm2G?y&yaSuYL7xU?3WFt=dYM480bAK5h?}P@paL%l2`wN
z3G$ywZU-Fnms!2zlYG&lifdV4_d}0vtVHBgth?oz((yR-D&wTohMHZjR$|t_C}-9k
zc<E<mo!m;i>3Z|j`K<*{>8^sRuf%#g6D3!|D)HS+w%pppBAT1SUdlf-aBn>h3)bSa
z)t?s*F0ebA%s~e7S!8_gaB?2;FS=8*Nb75V=6HkJcLgZxD!ZD4Sh;(30tXn~reE!e
zpy#!}T!=p1E$S5boDpzji=mn<QSFpOwYcT$BGOo#!N$FJEE7$KW|~+7N9XtlR%P}_
zGvi7v(PG#=!JNB9?ROxspH>GE_hCD8@4Q^3{}Jj5NTS#@lZ<ZXi#SWH>xnDA5|@1y
z_+e2?aR0p~*`&2&MALQy{FCrRnZ~vsrJ%z=TiMGL$T8zg#H)qi*HL(n=Hkeb5ZAWD
zHvy|dHSJ|iUtB^K=H9Lk=S=?iN$<mT9U-*qpg%ig=#I@V{Bcoj`#8<;g%^uiMC(!i
zkX*`M!OiSF1zqg(qgIZzuV25qe=T6$%#E+;l09~?#rF`_1e2OE=SW$%-{@HJ-^J*8
z5ELcHBP0<7*bj1WsHdSVA_BlS(IHnDrlphghAcWDx~|ng)Pd3QcNFpTNzUaU;f+PK
zF?9#im-Qla`HR36oj@-kvWiHG_ioXWLmsvm!(Pc9EwW!&j2v}s6F72xNEkDk;lG!R
zy@yjFfk*>fVDe57foE_1U*S`p&5~@E0?jEcAga1F+I41iDcP$L6O#hO1D|S|z|5=~
z(+P(3Dz)$c$E=8x0C?!H{((oPL+?6<QxvJ&&}H{8tRByf@7X1B-F7$-y&uRzpB|g5
zIQ8zr(_<AsvdJHd-_k}VxL2gvUd_ZLHQmhj=?mAbQYKz7Hi(mpI9XKU3qnCqF2nTE
z;~%^68x2=QD-5<;98UX75At4i7_#OwXF-20bfj`UUEMjTKs8{2s0~BrZMEn&84?z_
zeNf>mw5_*}*{fVg$3^rQ*|a=|1-2Q<t?*kpbllff9vWHS8LX3lY8`9H9%c=FYdhfh
z5&u5HAApEU-JCNglW(qyd@bve9r1H1^~yGe_JnjP_q5%EE9Ayu#c(RY7cSF3dy6yU
zjeK4tFFXi^eg}GupOB>ZX)xjWV&kUe9-5W#&(J1VxGGsx>{uipV%+`3bWQE<lK_KK
z#<F5trHc<<HB9CHIBd!=&I<7O#YMlv!gxQhG}nM;p!&m)`BhlJT!rDVRCbuO<k2(X
zv<^dqC6hTC%ty-9_#1V*STJ7PcgQLc>T9P&KMcvz`Uzn7%I!~LQM`!+Sdw{J|0C55
zSz{h6z96raLG$If;r@W;l;jnMN9Be-o4>AG+0gF;@k838F+xSK@+bHBP#L6cJxz0!
z7q_50);-5n-^D)g!d6($$kub=P?d~~Ebrl^yN61MRL-5c)5ER?l|Iz!_P6OaPkA0+
zN2tK&`oaw^rU=4dNfjV8Lri6eL;qqppKp?Eb)IF?<9W#(gc><Uq#!I;CS1Hz?9KZc
z@(OG|ZG34fGvB<`HxS7F^_5S4E1Wsrx+BF3F0OLhuCbupD1leIN^4l3;y5jz->1N~
zm-BO;q*sm!JF|yb?=8h7b+Z@*v;?VyDus>{=|{&2VWc5yQ>T3yr&)w~@70+SObxWv
zVAy3VFnBT~ioJY+B~e$I!iQCJmbt*OV$Pk}X@yxgMR7YVRmAq|^stj*D4l%(iU!T8
zZ)#%Gugs3y>kyx~c1djnyH5%Oy<;Wv_|2sR(f*B;=YuUzLM}<cy=a0AF2?T9S4gGZ
zr<6-tme%3n?{#t4v_v8#Pt3wl_M_dUS|1*hJ?n7Cet6hQKmKaFBU>-#o6wy?qf4a8
zaLJqAy;(|_zChvJK_?Q#PEpG(Q@>SIQO#Csd$KUc-pZC)A4kiNODx{<eh+PlHdxON
z6x9|0l9ox&Vn0?S@|%{`LatpBqKAFHTeI=#?9(*;djc_E)Qd6AOCs{HZ=#0=6Q(v9
z_hM-VYMjXYR-F)IHFTLR<E^WK`(s{5HLK+#$VY>LT|VT&lFxuayksi*_&gqbenqk(
zX|7lDqp{^(ueoR9Sj5-4Y7V`|;K#c9=6x|28nD`LLey~*0OyE}i9t4FS(0(f(H&Q%
z@UqZO0t?(V4oAtk9jSrulKAoRgkn1;fh8sA#R9lzUhz)46RNha`^#gLTtXaTp7<)G
zNHge-^>r0|tIrQIu4nsp-x2CK<I*gf(?f}cv>9^B4c)xm<8|~tYmEm^_l(e&m%8u?
z^2z|wlF(&d`Dzn{Nv$CxSi9OP>9+EieNro?t;~D##r^9t{=6zh1cW+!#{iLFz4zHB
zMdmsQn;C$>1jzr$8El&BM4x&jqs66RPtLrtg4{Q}({q26dDbCt8+(RWx^GiS&3R?7
ziSOzeS^|tq+0XK17_6TU!8aZF<n3e%$`J;z*zy)-%cSlU#ijO^lj{Z|xe~58o)$24
z8cyfWgri&%XEW5O{RVPp7x4QNfqiP?w$a>(Q;bP#;SD(}=%-;&n?u2zyKa2~<$$Yw
zuC6fmnJ9Nt{%)6HhrLNc!m;eZ<eS3VTEBFYaVj@B_TovfEgC620*{6C{i2toA+Y^j
zL~uTT#cxds;5&z_!k*{ETltn*Y}I_FQzX~Pd!8;|{lSvJ!CQm{eK7#DD=zlWc)u>^
znJ!_}eK@F<!ZWhk&f>S{5S4UVUOo^*v&WyLh2)ngw-lZ#<s*OasI}WkW{y8gsd>0*
zaB0(4#a}7HN3Qgk#ZS)F_jD@}ZIfJ59#WeB3Ls<_b7CA9I&P1bbxNxE>K~gaS>wL3
zLk!>u<TgNz?(F6#H>6xyd6m_(H2IYvv01q&fyV&Vk`VZ*px{7iy(Uw3XMIABiV~2%
zX%3ZbQk`!jcf1ZZrf4c!_w8O+l~%V#+TSnMRAI7D@hY?KKqA4r_Q@{3zExUtr6@E~
zeu<BGVX)*D0U^mfH1RpimY*agN|(q`MDHoW`Cg3cQHx*WxK+09TTzT7>s0hv7@JC#
zlaQ9v>)a?nCN<sdUaFfKdKzxq0V@mNx^x}72rkK=Y*x$591k4CYA1C+I9r(*8EF-|
zlaEZoR+keD5U2?9t}h!)%SU5sIZgUPxYX0Qj{(jtY}lFe5TTIpK0XeE@ajlGAm&OX
z>691-s@JO8P<*A=>X0xmo(vW!m(F}iRV()BdcC1GqGfRT?AP^6JE?5c`JIcO*+*cw
z!fN$BK#xI{8#Hn9JU#hIt6{UEbs(lthGO-ZrS5nwyEkZ|7|kNES#Yz|vW%i0P}-gl
z5VjW){;dE#AXIbilv>|w)<`eUHHRO?-{`E~aW<!>JG-veQx0xQ=ee*p_NzI!XfDI^
zsebLn@#v`D%q7&gs103yMc-0S)eD|Nq3CTF`b}qhk9>&~eKHMZN{2U15e%7;iKxqQ
zl*9guUqX!-HEfqlESgd-R1Ayczkst2mG@sNBO3Cpp;&Oj6v7R=3d+K=^yU)ZV_Gfs
zf+|5_gG+h=0EB5-R<_Bfu?>JViB=y2?d)f<?z~+p<*}T#`CGP1IVp%NMfHM(2I(3E
zNZ2$t(NX4?{zzhvV&&ZrW2_G|owyxFq?SA6Le~W(^08(;<2{vnXEX0F)c2IgzW0%S
zNBx{L)M%$ae|NNvRUjffI!R{S&fzItW8=cr)5y*XThGl61UYWNtWjhMM8<wRZJDAK
zi6*|b1|A3A<9Q%HD9s99-qlcXayiZrW@44fQD-%823JkK&7AK&C*dJk;?`2wYNuP)
z+pnBI?zdh$yxNlU5cU{-FdeQThu7gVqdQBTI8kT|sXexkrb#x8%fA;}1KNM3pscjK
zb=Zv7ehXJi&Gu=wd-{oHqalQ1TktDShb!+F1U_GlHSUL~u@Ei+77458Qce1d&!Edi
zpaE^@B84ViZy{1g?Bx!xD3=joiY%fG3Rj2bA$|Zb+gBiA&*}PAl4St0yoCDiUb*>i
zMN5;5tlv3qSGh&D3Kog}e6}HEVPtjLH$4sivwb5@U}{7+bbW-Q2i%=!um9T5)9I8!
zZ>b3+#?Q-n{L9J-zFlYXriPEDOKL&4YY#Q$SAGp^uRmDhXs*>%oU}#e0ft@6e6GFa
zoza^4t3>hydlCHDk9kB3%kcgdbv{Kh4Chcx0!|b(UO`lpI1H5nhz@jG?l>~;)+J-u
zgbRC~Zjk>Dgz()3gqTr4C?W6e)Tap(inGCpIJhMh=YOun9O)}P@w3Nv41?`S-)S(4
z$%pjz@aY!3^tH5qv}IpZ%gMlB888>GXSXg0%rgvGdn}iRF7^mlg!a5>!&zydj9BLZ
z#z@902Gh`X7d?7Y`DCqnU2+Ec!76ugyGzdW61y#^SobmxN8renojcjt3g{|{WE-Jh
z{sRrnQFpsMQyW=?Z`nzgX8)Xh{d1Pxn65_KL`V27>JI3G_QI`-7^N7k;jp1aCB4;F
zEjtim+s43FfJ_J81o}Ce_Xw54ZpVSZ<X9`K>`E*M<QwNoL1YX^^QGaGWwo1)OrTK+
z%KvD`=U^(7gVJL#nygzt>nQ+bEt!3F=2`Swo9w`MMG?lici@UqH<#?5N~wH^?u7%p
zm8*>Fm>mY$Thqx=O|E&WOB*Aq0q*-zd!YvL#d)HxOL{w^zZCyk{)5q%;ykc_-@W*y
z_-xeD5jDGl!$h62#kHFry<lUUAB7s_fUG(1yCW3xJ{ud6<hMdiQ~ss(yZE7Q_$k{`
z?||#PHnpevg_=Lkll(62N9Ej81zTz&DnNQ}U)eY80ZAHQNZJkNtSgB8?dEC@<G$=t
zr-Xgg@Q3Jq@?Zyzc`Tnp$iE#!9Z6u)!q{Pt&iAzQ8b}oY?c3}X-wxRyefBT)ofit=
zwcbx!xBf)Fzg%n*cA%_#b#zB0f5OIJrNyfQ@Mq~+F4cdR_4*S5(SsWk<o^F{76dDE
z1rZdwXX%jscUj*7D0MT!`JL>4`=0VJT6qFJNiE+0_SJ&T04_$^Sn(+1{Nv7T_s_im
zSm9&lp?maqkNoQ^<?qqR6I_}Bf6@4}!Tt3FVE$6o$4AAH0~_F9x@QL!Agvz&n&U!O
zhI8s&Zf^Y=@6EgDlNT~{!o9t{)?Mkffbd>ZQxk@nEbH%usbHpR{q~Pu8JaHy6JJUY
z0GE5<u;c@pZ!QcVz~XN6?P{rF7&BHIMxtA)Y(j6F8oU3rTONA57}Avv$?z|K8ct7q
z@yb2ouGUuHogPJYcJ`)7CNB~00KhrWGx2#UD!tXrK33(ySH`Qf3D^hUe%wh9y~04l
z#AJ`3X^KwN!Z)y<-m~du!?`o&DKd^PZI*++TwL5y(UaS57sem$R<G9`7o1Ige<S6!
zhO8iD1SpG=k`m!XJ>{f2n}e;kyTEoh21FF)+>gpY1G$3PPfK6Q{$ad8e~~H?#l!)U
zLyD+<!rN)6*Z2^i!3u@i_B#M^iRd{xPfcR*y6LN)>S5cyY?;lUwAhS{jJr~jlEc1f
zA$M@114c7D2gtLN1v&8db>aF4*98oB0BhlpY~wHo;Ol1xO>$|`<d-i4!FqCs<OLvg
zEcNz^35kmX46S4jYrBY9^jsUQ1b~h@8r20rpZSi|5ikHvKN|sqIQQe}y+2bp2SMVw
zGWf+kUr^~g{&+vtyyj%9Em~$z-`o3J#`D!-l*)Dv9oy0zSNrkvzeM;GZMeFchQ>N3
zKT)`y)J*Rbd(m5(1!E>uuY94cD4_AzuOR}9Cr_T(*Z^@+U0t2!{)@M`TwFQut-$bm
zO8AfSLhCGBXx0^J>gk@rSpmyOov<MI@_Vm2Y+3d}X@$B4fXX^Y%*uX2fCl*5AFX{x
z7Kyz^bnU>^spSa<atAuh&SzmxILY6l`kTavmHynm`%O35LD&)tMJ{T!<iACAyDZ`V
zH&NYE3z!9_fp`zv!xpZL8UQ0SF?)@Uc}+M<cWUrpKG1Rj)(c9Nuwe5y_3A8z4IO3I
z!wGaxE?hU#G~~$$Aaw4}`Lz8h+c7bL5POeHEyewRis<&(@lvbs?A9Xvl1F13!ezDA
zQc5_FG$6P{oe|x8bsmuHWC&MXU@h&8A%I*yU;MXRE?kqAc9X|M>4`B^%Bx%%WcYOG
zS!&W)o&WKhtFnu+?|+=`RiF=FS*HEg%4La>eerjYT1CpelEf#FAm}G+%JPI=NvP-x
zzPpGERf-cxlVFqB{Q(N=bwPou@nZ8g`M+tiF~ArFAs<JVudifA%N_w5bh{L&Xs7W_
zma{uC5#SG+aZxy&H<eBEn3P*Dmn3(!!kRI4gjPekht#a&etE7AlXb+q%h!1imh+2b
zfz>tl{Ppt;<rdGy?(cL<3!dBa9oAv4w)ZDqZAY?1GK#j+nf=uIt%uk6?K`nw1N47;
zD4j4cyWxPeaOYzw=JQ0{UE@kuSiZ1U%+|jp@QXTY^rPj&nc_R(9iSGwyqdgTUYGTU
z%>K0f1i`JhfoRGf^T*?q*Q8CVasnBaAn(;mmv~guZ<0y%QU=u7Ee+S^E=fp4&P;bM
z4R0SLIIi4FSQ*~jJ;IDovJ56dF>I3A9&bY6NSwQBc!F5{jgdY|{^3ghp*1K^GJ{{4
z(Dr3=ny(g;oMH_9d8<LQx}B39m-afw%76JX{%V8{*J%fse{YY(Sv!vxOUcOmm|5!P
z-psbphzNUMY;MK)TN6ikN?<Sk0FsZs0iX_~Jo1p~VSaMs(9qER`}fB|$s(EduM34D
zhgXNBzKL}GC5#jQ4`F<;!Z|}4h9E5eu7zmChFRg_z96y!0A(EN-m9bz4+OhK)6&x7
zf99woPC>r9+ZA-#PRC@jt%_b_9*JHQ&b7M<=gRojOb=6!vUSh5nJB4~w-*kc-F>#K
z_frskvK0%!g9<d>G3Wx>8(=R6HXb=Q!}E>j^F>lseUz%}z|hMgYo)7QCz5>VS+f!5
zrAx;gC?wHA<U2VHBW+|{k5O(i1JmAmylQQZVn$DGl*BA0IKK3F+?jI-Z1IeY&-*Au
z^zn%2x7D}b_m)EZ{U(e{>&F`vo=`gVoleLF?&A|8v6cAA;0e~i(prk2-98fY%{Oxy
zZMi;Fd}3D|e%)Hco124(Kq=_;c_B<0)K`TaC@BQ>>ISe>pEp-4CU~`4z!2P)rM304
zxA}i*<pH@&<E7fkAZQ)mmqNPE`F2ZxgO|sv71i|5E{%tsH9L-!%bcBT!+t#r!1cuO
zXd|iJZSSYN@sDeH*%3RCe^+?l#PE_)0FMdc>cCekfe|rWl`-MyBQ|eRwxBl)#@)2%
zt0phH{s(lV&ak>S&$RF5_R(fz64Dc<jhC$6?b$Moo0Q2{xjM7b|4peOX%IhT(0RkY
zYZO_hS4I!_T6B<6e~dssSib~6!t`11;`~n5T2=~fQGt)ue@p$bg~Gj^)y+Kcw68`b
z6{akIbo7I+>=emMS6K>px?{crGypeVTkZIaHZ@XUtk9|jyDo%;75}d)dS0JuMFOc_
zlpfAO6hCM({A9RQOz8nE&Z979|M_Fdk)_QhRxghtql*1eH;tLbNRHzU2Xj3Ge`+&M
z2|f<N21o>t7DZo~vHx~pK1E@N6XdkPn>^Tz4FD)174od-8-0!|QKqDa_C@_xEE4Iy
zufEP18+Ku%HEyiv?!k~OC`MPVb+HcZ{>i1T#AeN<1ra+P9_0~9x^E-4yV8O46Swc-
zDfxiJmC8t6UmZ->(>Hq^I9k<1ZZ?;8cV!$h93pyLD%7FPV`(wim30)V5svB%W3V3H
z2I(2YYCpw$#MQZy!E<uBTcqWtwfUR@WqYXCaNxJFKAA4#7sVi~Anb=y-2psvp|VmC
zoUUGSa{<|>&WDKKoN2=Ke7yBoCpz-^o_?w!UvO@jXF(s@TzvHCa3KTwCdONMSr0;K
zFI=pPFdSm3;?<#0zE+(!R~5e#Pk@!Rd^E++U6~(OB=$)wXuMgVV)X0X>(|&?@IXQX
z4>jU0b=u}2RgnC<-?%Lz>h(D~>*pkbcrBF(<BJKzjH4qXY6{Qf)gFmeDD>GSJ3Z8I
zxmey*;o#p?f6Ld`s7-9U+}RjvC?W$I$m^Hk)ZYW)qpIhVW)OCgMc^X6`L5(rCy<NT
z;5`0mn^6bmLE*TwA8Q#GyMJRgyL+7BhsgISsLE$on5YACo;*F}`*J)L%4+vIf41-P
z-I~w5hV-U%x%uBBJY%txy`9rQY>)lw>3cFVY>vw>s?*BWJG9KV0KACGpD?-s5i?<>
zV*t{4G};IvXLEYdR)wtPFjZGjiYXXm>fZAdKwQHyhGrsOdP6EQ@r~FO7XcM)cRPo~
zvb3<0-5Ibii#!_E;rlJvtsJjaYvfw|LvE){M@^M!?FhB!KIetqMAco>FE$Gn17W}G
zFlL$rTNjU%{7$r^;{<kydy?emNLUj`HY)M5Ifxz+L6C3*YiUhk+c8cP&sXj7h`rkN
z8|V=+U(i6-8bfcnWyb8YX!z&imxpW6YN1{&APr{Q6^0aG9N@RdRVXAjs;$dz#%;FI
zGeu)CVr*28RU}0lh6>{2*Fb{LVaQ*fer_Nt#+T6{ZGzP+{n{G4w3*jR#Kc`M-iTiW
z+z8R&N{tNJKDdUS@({V1nzR@!>#ZnLB><TVmHS)6@78g{tzGyWr7Rk+I8HiTTL-dV
z=DgH%JmYuk;#1<a!~I~vf!nDQ&AN;RsRAmHlq<!QKD`AN)NTp2TdjPE()bCK{&4$M
zJ!t24a-5c~C6G3P&%&zF`kMX*o{nzAdj?F}OQkFxATUJbBwq|ykaX)^;2C~@q_h`P
z3PZ*>R;bs$o;W+*-=ilcx&`>=H)D$8AD*)lO|f7WwN%zrqdQej(w-k>XKrWi<SPBJ
z*VcBJ($Ev^iLOO8rqqU7)ESmdZ-d%AAz35vIU&JS{|HWXKC;m)6B)XGktJ6;y<$(D
z-#8jN&i^5Yp={XIAWwBk+1BFM0U+a-z<<m5HIWJ8<IfbClPoVUuiP9mjN`-e&@BrD
z?LOnt?r_6iTa&{tX)t~cTSS^4#*2bljq?*79jzFxn`~FT5RX5gPmk>9yyMXx3B!N}
zzV`}yVi|i+JVSjKcSWqcd@Nx~a&%CtKqPuzLfp3Z$uE>k1x-(iDdJ}l88-1cBdWK#
z%742<{MSPRd;e%nLs0NR?Sk{=+zR23dGCYeS2=*`Rl6RQ4y4rmYtg>cArV}A?wYg0
zz+5#L=DM{lyyd#;Xse*$)MJjQ8pm4&YrJzvPdFSxD3!@}#L{J3#O`QY*K`pG@Wsb`
z3W~Gt3l?dmAO29ynZe^SCn?|DpV<%$K+M^)PGzqYvaa63Y-?B`$3v_C)ci$UY1s`9
z>WQy%^W~G(2cFEZibBDRAO;o0alAFlgO{K8BVNdji4p0Wl5qD_0q7j&2#S7h+fzg{
zPjmnbvYvpXeRl=1B&V{i{;vmkEMNy1jTKv2<w*Q*e!$^iSdXRi+#dRPP0D}VbHs5R
z>?XmtW1%7~2gr$H@>Tml?nz&F+<v)wY;}3Xjo*xkbn@dX#Fg`mv*1!Pkq>+{HwyVU
zg@hzz&5yqj#~N~qEMoc<m9Z<=5!!)heN;QPTcmJ29v@{tanA+fJDgbtH$byCKv++H
z9>2;edkH9G?gDn0+h9M-LOv~`uDKqB2HY!2{dup0Ieem$61%itE{f5WQdbJaeY_=u
z(tZcqch6sihEOu+;Y+d{L|MJNKY!J!*^W_-KZ;*?ORN6T1oIlqqt&A4(<!lV6JnWM
z{wa~BzI8KC%-`N@cMnKO$Yc1C!j2$8iM>w{8h{JB-Ts7J1Q_6wG5X0jnw~8HMffTD
z`t^?j$?AHAM!C6TLaISp`^!nb++EYZ!had<?C>xb{x%oDp~AMIK*B=Xj!m&~)q}c4
z9$DIvIsP&lA~q@_fX3b0pkW|7=W+2$^5L!s0w-wqM#wZ-uPoDG@m<W?UO~{r&N7_&
zi`9x-df4n^@1uf(X>~Q+uBm>n`ai4&9hlOYawU&rzS*v#-;0*+`L2|y0**S#I(;TD
zrPHBnC0<bF06RLIn)p~&e7+%`j~N%XsjbVXH9^U3;^S(i%OQ&4E9;AYTR5A;GUn36
z+)0jcTXKWFU;S#epgq((W$1*+YyWJdVO-I=X@@V<-A+k_@$dX5En&~aMPx=EaHw(g
zU_j85tmIxH5t3Dz?CrGp@qvnqg{7lFcqaTUO^}A&JI7A|LDHkq0n4Ob%jqCVp;jgs
z>H82cTz*)~ak*=;yV3xE@J3>&4_lO8;)2i6ko|R2H><WNO_P!yvaBU6jJ%B8h0o1r
zEzI{vhl#PQXXSUv4o=6vc*by~<1&sj^B3dV<+wkOZ$3NHXF5wnpFC}g5Us@)Zs8AR
zqT@&6u8D+ucS+*-m&{k+a3muTNsbQ_zx<~W0c6bL_eKH|nwRgHb2!8sfmrlo12~#%
zP2ci9zbZO1WW@QD|2gjmoI~4SYZ!XFQ>yfMf1Q;yG%oJihgTfP4smM3BPk&1>;u?C
ziMBs}4CG`K9{kR5Sii3Z#b}^X4MHa{z~OL}ur};zFA=QhiYn^?0L6Lb>zgtb$on5r
zpZ63S)hx*x^fbOx(A9IRlgD&XH&tCm#Nln9+&9P27JEHMiEk4R<V-fh0{{whCn$0u
znH3`AyUgu)I$Cc2wQO<(-F{{^^mX*)gx%6be=yuF@Eh)@c~~0C7LN`{S>@jX@c7ZE
zg(-7(--N(pJ_snlp@ml<dzX^*B}K7NT5GlM^{d?$9z`DpkW&DAZj}Yn7b6mc?KJa0
zalC*%^1vCF?c^o2E$iHA>G==;0%uV2;+;bWVS+by9B??7;|&P-j{#{lUb=1}-H)V|
z{(cCjaenN-5-@E&5xH1P2bn5>JsCfJHLm=#wdhUMO5gw0;joYRzd9VPzrAOZ7eCK~
zwk99h%?Ec(+g56kYo?*;E@$GgX-rb!-TY~Q#bE9~8%q^))-5_!LX0q6u+PJ=7&dOa
zeK*qZme#`Fq$J6puCPR9w^F(gjNnU{=G}h4s>dT&VK`<N#i{#4JCt~&`MyP?O(+Bg
z@#tOyh}~?jcT9mrQ<UgsCzP#jrMjFJE#o}W_Nhv#XyP}3ezcBOajM{S@26O-2n2bk
z#|T2NSykulwoB$d^98Yd&_}42N2i5o{p<wKRe0cZdj7UQz-<v6&CsWoUd#PTGycF{
z4p_NNR`#$8%VNIl7Zt;HDt^(G^RhYxyz#v|uKpj)!bbX!gaJ7><LpFH9ZxTz;g|Q4
z@7h~=7!|<$$Q5|cvya)bNNt?+E`_9jNp454@B$9W6^+up!30Fnil0OH0m)2dfPBwa
zUHC=Hfm2muKa>8<uE6;KIf#8vt{fMVceqhWuf2!a!h(16Fqb6rPMX2|GQtiyzt^jB
zch{gBtv&P{zE}1=rcaVc&yQ3^vQ<pw6@I}C<k=d>(_0dzm#z(`l>+6Q8zjogwiR5N
z7vm}MfNp_Qito>z_6R6SpcrxbcIAVrKr3kQ<ZyfU*_be4D^q@Gm8c2?x|%`|ORpPZ
z&^s*gU0?erEC6+5@J?FfN366Z>g(&@mI)olo^fKfNL%LH^1UK4e@*fM_m%>1f*6*?
zjFwaNUaEsFt_Vn|eMqcxh7o6vSL50}_e>CZ|I;(^6g3<NbM!*(YHEHNZ!RNLHc|;@
z`ZtU>M<0E@_&bY_N>=U9yz?hXXWhlQiYDBgnEd{wA)aKsCU9cBAY$=-vls<qxw6d-
zkF58R(NTvDpT8vD94)#hu#d?$SY_mFq*E!X){wRe)ScgwsrF+TRy=yE>nK;XxaI1>
zUT?;ukePjL-Jds_zG-i5Y^0jEx~F8H{S25q9TcAAOiFAEoDJi@5(U6}fTq$~bhChy
zNyV+|MH~ccXAa6Y`E4EmR(}Q&QaIu5*DD-`q7)-HIahdXoKdp6G(F=f9%WTfS^p|o
zKrNW<jXLbP=^PItH%t_8qJTEp&*pI6!7Z}2n6>Qk71e0@c@5owf1yp{(nv2TK&dl%
z9$~`%+e4`VGJeVZfGVMzoj*%;b^uCM)RBYY)z5#o>k(8=yIm<XG-Tv4oT5=E4uT5w
z(v$G20!!H3{o1)U!L~zY6H^w@dK3P(B%r2&v9XcDZVWqOy2LW~RP?d_kP3(T?_>us
z+A=09&NWFv!w`Kx4yNPT?}IErCXnRy&G5c(0(~*;r$)tK?R4CXU`J`&37EouXc>#Z
z8Yo>mbZFdrCX#opY#2zHkv`dIpb3>+X(F-Vr-AhrO71jwvFLH?AL`FJU;vgMlg1+9
znzcCrBvC1kBxLK+xnV$hJaFEr)wrFleBQbGRUXCG3A;z7^S1Ve-ztK{9hb@gV<iR8
zhjOsjzOBc-;zhNb8j`D8B!W;IP_gD4DY#D_W%AX_dABx%Gt@rgUc6S5gBx(@O1_fx
zt$j*e-Md~>&!ab48u;8km~&-2d|7D1dq^&AE)Qz<XPbB#M{>tDs`O$QF#o<N*ZWPm
z=S0Q1#4FVo$PL`2c)G0Jw$cH=B9Pr(L+8JISym&Nj{4jT`1=$BDIoymsJuU1`Nye)
zR)A^=rczU%lh^Z84gZ8Q=TF3`0fQ*Ue*0V=IQK8uNB}YA@g#>3$)C3W)e!DfKu2{@
zcyeC$dHdu^fru4auVP7hUiSGDnqq)^GZgXuyzFyFB$(>AI1!xKO!ZgoUsTy7B_-oR
zn+Dkkg2QNlQy^h6`F(RhZp6{9u=l?kBELcV{=)~dQ}y1*fZBdUwvqUFSNLi$J@x;D
zYix03A7{ztD%ya82uXGB0`>21Ws9DFN~@B*Qu^DsZ(Zqc1CA=G3(=8%Fq+}f3A0|u
z230+%A>Qzh_$^Iz1QGO^Y;90dqsrMO*||=%T!BUZVq^q5A*8;K{~R99-Ref#YM<7E
zS<HSu0#fo8i-_>=s7f0w%s{GarC~U@?|J2Hni3=h1f9T7OG|E=axQQJCWnJ0ZWr^K
zblX6sN>%*Le>+$8T!fjy2%0^HH-8<i(qtsemQPf;D0g1_d5^!n27KwWTJ?+nIB^04
zWc~kd-_X1mEVESUCdS;}$;Zte)kH-~N%ZM^4~6e}k{_^kH0?>R%`b$~&AwCo)t|!B
z*OPZ^V<*D#Ox)hj<e_=y;QJEv(krdww|TaqhPO0re_L@OF=2m}g}e=IGq{5LIIw6Q
zVek=co=fslU#EcUK2PcXWKv%M6UIy5CK}q~L;I|)^Q>!M3Xp|uOm$CH+&pgw)$&Y{
ziT(CG{n&T@KJ!V!9-QW*-FGU>$<K#>xlk%h?pe?^R3a-~E=zQ9FJah0U?N_^zvI+O
zN;qM)wY`;Zu~(!J+&8$^G1Iw}e1mz)L@F7qnG|c970}^vPwMPrOW-Z48lc_ZkDV47
z{>%(g8lnrf$Gt3d-28G~kiZvRRpW5<MW_!`!Yp2>+H4^E^;qid;r%Ek`~u^OD#E7f
zbFt>qC_1pL!_r+XV<6j7!_dG|R>p0l4}y}a^e0}>r<u8Zcct$D|CFcEXV;}8O{3%%
zRod@*4^0;7{;u~nkxw{8664%%FrdgRCEZT@32pt*yz%>cv9Z@VMZb(&l21*rTwN(9
zPuC{i5D0ExFh1L?>PlP{5KvV<IH}OB6|UNTUl^HozY97rRZ7@F@1Q1E=9gI>sZYCR
z`Gz?QsPW;^i$(gsYh)qvX$wR`H}9bG1N($IDw-mZ0TIJ0lM5ZT>bp#|)Uw5nuLiPR
zQuiQdNFFtupD40VO1wXM|AvMQZ4s-p91AH47qEU_)?N3#aPGiz&>lFn{2(?kDDUl)
z^s*o0c4@1totZyFx(-AU4;ge!(*}&39o%BB9!&B{6%VL$-^}*s$z@=Od@(aD?&NA6
zJ^p6c14-DZ$>Ao3F#YDSU5I?cvt;XY;R1!lOqHm!i`_yYSNZzv6_boo2=+)6+lLIm
zo9-^gnrhy&{ncBfComCU7MRu4hw|yo&|sotW-vN?#@F6aJ{Dy&(Kf8k9@w{)CP9m6
ziXFT?AJK+1b?+3PakUPJL%UgcTk1S%3fOf%jvkY(x+iycKeVe1jsI-c6!IgjV8fS;
z+OewX3i@{5x+XX}qCGl;jE}q5Y-;mE3B)8;__!}E1KkRi&`WRb#LpCZ-}~wVrp+i4
zZ7GvYfL3flW_U^m_?vH@AuD%9)T1Q)Bm8yDXJCmYhQOgBp9QG6_r@f--ZcL=JFofe
ziFN%N8FqAW@#C4n@FNlR_aA^WpOrZpvAPtQR_MKLK}Q*@H1yKQoyv!w-1d%$x62a>
zI-L5rk6w?fsRkXYb~O9hkFOapQ92AIX8LprFezm8mV8e-?MP`-94f8^_ZA4u1WzG~
zq;9o%Q(Df+h*})~SY0}+&9QjPHTuBxz+AD=Vz<Zz8@@NF)o3AWdghauG55V=S<!eH
zohxiouCUYjTE<?h)Du1@mU}%H)||Lw@0xP=aFw@NfTZ;fl~G_t!jLi1-@)J)X+-LN
zUjkmSedA_#UdL*N|HtH1d*0EizzH(PVKCvzO1mwqAb*Vh{4mt><!-vMww?g`=xuBv
zlgR8xDJAl?$LIeSfJ4h3Vjw!OX`Jz~vi^5dL9lcwxa*Q)x<y9oVeh{1ildQEKZCKa
zw6w?c4u-G5t*@^CI5fk`*&h4RuH)75m*O8kMt!s$HMX$)s(#CMZcHrN8n3Z~J~(<v
z-Qj17%i#!CnU(3CK$BGAV_IDML{-%(v?vK|JA-Vx+u>njeJBc-Tu9xY7OWLt>pgbJ
z{VF>fUz1$}a&ybBvtpfdFi4hiR&GeV?#p;BR~8fagjLnZI>o~`1(kb^u*R|_2JjyD
z)+Z+RW^JxGN{Vh_=7vJ=%(adg#OkiO>E>L^r>?)MI$nT)w`UfrSws?~ms_6&1`OJ!
zaaCx%B%j>PHGtHW-xl58m|l%Mb`2Oz67yVJ`+&xcSDCkD%@Kz_LFHxzxW9F*edsXD
z&OR~-wvayTC|50d6PSvL-r)(#ICeTNC*~;X0!2H)a*c@&PFqq<lFQl@oaB<KEg|!8
z745SJB8M7qWNE+^Qk@83*M2d|{bzNra^8c?R7GF!s#qSll5N!xvm5C<tAp<RQn%T+
zue@;zNcRzCidwEOjB0C>Ig%wISt~7ki4-<tYiTC_#sO~m*o-9EmfV0j4X5sIT9X*a
zwm~brtho3kAoa?!wlFX=L(|fXhPCBRPdvii>hSe+nn|SskjBtPhMw|J+|txY!OqTt
zlS`hd%$A7r^);R$)dw>$DdXjVgpQm0-rh5_gU``rEcOpDMK1I#svW0W9B{Mp@8cnG
z5X2eM;Va~J8F`A$n^0b9uWPSSnE<cqpvzrzTf-*|c7K7!Qn7biiS5hF{O`;}b&0nd
zddXMmxK<INBRlh2?fHyXfG?dsORKDPF`D%tR?+I~R2-xt1#I#MFLj^%QR~CWj0P*t
z67a`a4jnh>9mZB<l5~F&9VD)TGm<w^{*pEJT~o$>+&;$>tPloxOam9-oxNt4PVcL7
z&#1B+DnX3c4!b?^{x<)}UIEGZD0R|#pa4nqEihk9k2!Gqy2^F9Wt^%$W)?E?@qPiR
z*CBqw8Ul%C5Y9#>0Y{jknWf5+aK)MZ2j%FnWnq!M7&$8qpR$+hl-h9D%EDH5L-%{>
zE4J&_fx9XGj6-McYSsxXSZTYNcJHaZ<~3q=f3=FJMbDboW#|AYeyKi^g(aiu>9)Qs
z(9Q;*)qGJ(D!Sw+!#Fq3^1*XXw!8&43zDt{w6(J-YGGsc<dZRzr!)P2OH6;qv0GGW
ztaw0`da7QsvY~iHU4YrPpxQJ`dihfbb4#w`Rkg9Lb<^v$pT0BGFg7Zz+%>`3Ps^Fa
z<YgpKd@YnLKeQrFVT3xcENQa{U-0!%#(FVP8lp8a)iRTAG*K%{^|=bWs+_uW%Z`6?
z#A?m@aWS8=EW93%>{`coFLg$6)s0!()j4m?PZ=|zG%PCwGO}DQ0%@W*sW@Ms$EBQA
z62Yaw6R}VNv4-61bp8Xm>@4Y9uu8|F&)me)et1TKc#-s5%u;e9c{Y^WlTlFgM6u^m
zR7~LewtGN6z7wnKFlz{uI)K|zYJM<S!(Vu=&y+ri5er+nA0mrtKRBWdU3=hN5A(w)
z8|m!C#kXDS%lme<{8>;)(~Od`a;uC8bOe<5Jd@pX%|m9_jj5*)GAbIV7o@v9FL3<*
z2``RG=7iir<^Aw<I%mtSVBlx7{rR+|nF4Kv{`#^XGt+9ELw#Rsed4M&n3!mLtmJ=8
z$WlbV=YDWj?yu){wM|eRe*N040KOAUpm<dleL7~*z<&F(r(-AnkWX7_>U&JfYFIQH
ze?dan1l>hG`CiO8vakGxPGeWpZbegh-Wiqyx?7!vh>t$ozpL2S6)}3^Jit;cTH~X%
zAS<xEq>F}UHX+1LGblw7@4iXSEjDUknN!{wYpH7|vYuJzcgk1!zuX#YFdQCcVFHyd
z9@W0{YrR(ADm?PqR^o6W%DBW*u|@nk^_01xp+knc0cySbWUcu57-Oyb!=B7fV~lFX
zwG)D_=@lFlgbp9fb%KCcMAXeqbdEIMQ+eC;S8}1&ZAglLzI;)8`(5#?CQqrFy~tF%
zXg;@*^5+(OL5ZuQvR}a(GtqIbeEd4oUQNMxLwss_Y%Qi_@PTkqgtSRl)+{>1<2%l+
zP8bE^CoWLxWDPVz9%|2-Pzy-?f(E88^AA=6eyxV<rI{;Pi1&p}zb5tr=KY@X8YV7i
zUVPxZD?QT#+36041%#)I*?jGbcSUEIvCJU^l?FzdzfNi^sNm@@a3$V}g=*w?ray3*
z29CwPz=_j#HUVe59fw75zfUI|?cyNL#3H)%3l?e{MSh}U6ImkRa>Iczdtw1TPE@|z
zE2JVW7!!spTpc{>U%?yrP*{WyOBU(P(33si*BGx^?Cu1M@pGX!av4UDhuFvLqv64h
zs%#<ZH|q8>QM&lNW^DkEqO>1_Jx|MHlBu`c?HTPQ`K#Sx_4$IXJE)+GyQr&Q4NU{a
z$J_dz(;o6HiWleWBuJi$W^tf&w}n|U*J9YiAY(T(T&y4SVtB4v*?MDnZ?#fxSuq4>
zShrpL?9`^`#ASPdy9gIXwz1b38)BObi>dFJq1CaJ$Hj~q2K{;?T`(Sh)waiZr{2^j
zg?{d;sG4EMJBCZ-<prfO(a-GGi${i5W44%Y4_(w}mo8oO2aTYt+7jaV^r})uj9(c*
ze2>iW*3eT5$DSHK{01c`C1*uWb^|V%I&jfGc(Z;XaS#kIc?oVTj-rTwn2o&69oS7n
zoz^RcYu6c-bfG-9!{yd$zB$K^|FX4&Py~;7X^cMb@0gO~thnm*<w=D=p`7n>L@j>6
zOKQi$88H=6qJD*x1W22_`GD{CInO2KAwo+{Sqi7S`LT8mTP@7-yaUfa=qpuuVR8}>
zqVdkinu7DQhHL)JFftag+i*ly9OtEPVlqDBj9y(8PX~^F;_B0T({-V8rA?o60^m6T
z9dVxO34((a$L|#~Ehr}xn9Ik^L*LldAMF+eu1aq%F2OTQYJGSA4|i`FRdpBi4a4zB
zDN+IgDo9Er-JpQPp-VcXyFt1Xq>+#==|;N20%@chq`Nzxee@E&?`N%dt>^1|Ek5AI
zIsd)?d(WPkJ@cF2yusJveEAh+Jb^*8R)t4UPkTuBAfHq&9!Eob*wVk~P$84KxhPwR
zo3*zm(g@eB#%(LTzmk)~I=PIi@H6B%PIY`r)A|*c*U-_Ft0}Ef|CsU^MNN`S;l`xy
z8OjZaH;73fKMT0`=kon5+)H`hC5(ohCQmB;YnOi(Ulq*UO_G+FT6JTvpp^UIsNqCl
zR3c)QXo7owfT1gXO*m6P@}AX&2VnL&z`>j$L!BAc;;GM$%8z3Il!t}5ZsPL#^T&oh
zRbdgB90q-PCG9I<<13G>N78;*+Pqg;D}9io-PCCA>~gSbkc7*mhD$tec573*>cna-
zKlMl5H!LC^?VsN(xXtW0uFQ$QJ$JD`wtlHGZ-qgBZzz3%2R5`hR)P?MfuDVTkzm38
zN_PC%GiiK^A%Wx4g`1+*rn7b+qWC@Q#z}@F|K;n|R6TVJB#@#2aUDeCyVv34C{$y)
zA|V8hlYSF27}3V+WZk-DPhgE<Z`&A_+H=#EpK*!)idrTPilG8DG^-IX25JkO0>iF5
zGOUG(hoMF9w{wh5W_&a$&Mp?|ubwOp{K#srU$8Tu#A*}482~R`jKgkF!T91PZSLvI
zC-0KyUq5~zp&zg2WZb{#J9^WA-BM<D@TtVqrwesFaeG%ycegSvaS_-AtS&jJf{(w&
z4%{Tk?3uUHXrD05hO6#RPYAgt@FW?G#VZurMVqT+Q$87c2fI=A(CoIc(lpvkQP;~9
z{yJk@C_WTa(Lt(ho#n5IhCacXH#f{{bJ+ZA_3N1B8q~@MP8ui;7i$NL&zbfTwJxG|
z`NE@5PWnV5-!opca^c4p=Iw?lR-Lf~?dsL_-{EI-FQqQ(@f}r-XM8}cz+5(5Zk&?m
zoZ?=Bh)9Tqg#|bq%)CA+;V%+u{upt?QbxA_D%br8G4Z17?8%qnx9iM;R74BK0`&(r
z`o)nn6H0ZH<))88UCUZf%!g1SxpJX{qZE94SZGkObyu`jiRQ~-+-9rJ$xIx-Sv^wA
zQ~jhKzYk<z?Cb(POdL%3HdH5ZsOZMe7V9Tl=FZo9IhA)EtPC4%@;)Q?7_*e?`Rs2@
z(697#Pfb;rtWW#Jn42EVV(^rYmyu4Z$A0LKaG@N81%~yd316LB)|E+<r5#B3+e(l-
zDNpHc6!KMd-ZwNj+W7gL*2zfg;HR2}r@>lHhIT)}+MQx(5&i<fj|%-5Thy5_4{^44
zSLz?Pwx-P+3Op5(K9qB?Y$cu4wK7UOyV~RbELGAKOoeAnalM{jr^QT(z1IZXT-(xw
zf+e?F>(yC}R6t(L^OIH5+>gWVl=D&@A=5yc(2En~3)bL}@f0QItG(h#e$SH+PsYw`
z6#B`S^RG@e$6qXUcDHr#oQGY^(p>Uy<bzACSseHBvQ=c0btRko0ouj)y_8#wgVdk8
zMJu|yFAsh9vptvA9lO_M_Q_;E<3y&rU^wyz)}4DNZVBA#pzU@ue8_9P6kalNs;j!f
z-qK%d*7=rp!@@b_yL2mOkbeDnYe@|3ezKp`oW~jdQh$6!&qmzwTo!9TGHOSkV?HzD
z2H`h4o^rGDMclPknWZhh!of)#Sl>FWqtV4-!{9+W@97X_{xQe?+Ta;-WdMj<e3)PM
zRj7(}@fdw)v-TRDf6W{d=Si*hkHZdX0%yLfn(sW%FQsJ|m@cg>mrVwCI}eaGXkCd@
zv@*(*hHC{5VisdW$9ck%>c*1;&pQh?PEGFP$Hl9b%ATBt4ZAx#R6TCZ{oL(R@(2?J
zk=PCcLjC;qbzCGz6MBf7ZFFPB&Ud8R^WroD50yfFE}m5RV%4!LS(6({-0x*)qLF&x
zVK4LQ3y^d(ikv<8aEK=aC5_-|(L5X`ljR&J{%Q^Uj3=!R9$?{Yha64>K6LZ$*)EVt
zp%oin+LN2<1_j@s`dy%D1~M%L)e0l^baJyZ;J-m<E8X)IfehDi;bWI3kyPdq-n|1e
z8t3d+FY<84zD~QnjL@4c3&XSD-+Y~4%l4R`sjXFyF{WE`clX4RH86x}^+j04{Ht>V
z&GGv+xRpvxXezZVdfs~3#?x%GZ@jbtO1A0Mt3OD7!6fq3i;u}Xp5>z{qo{(Vj>fGF
zTcI^sRvkkvo;|r_GK^YBW?#tN7#~=Fo?o*f9?H$PxwE12@~g1l?tI<$Jx`b<J+awW
z&HdKbqD|XVk72H&9Op-2hG)h^>tC!{m&#ULny#EW-{w!;oWp+kTnl%T>!nFP52e=`
z5;~!=)yBxk2*S$_lpl<PWlQBTpY2;T`-YF?syOaQaHqq5AekSoCfz++7!;xH>B7Z#
z_$siqbuZ$)nV>LX$nI*EEiBCCw7}6SY_mX~=0i<yWYJ36UO09j%SV42+Ec5t(|7m>
zCcFo=4;@iIzTY~1(a}8%wByh9U~x-KzRTSrA)e~0Cix&EM>E#7EUk#O?pNk0Q89wm
zlsjuARu+kv1O&M<^dvtPc3yR6=S3FE43EX`vJ3J46_XICeeKq1)TC=)|4Y(zZdS`Y
zskC(WfRPYa1#ku6ij5v@w87~LD)L;`NEry;|2AHEdvio2B8~k{6X9urXAs`{L~N6Z
z>eJObnQzF(j&@mjU%ot%J51B*89MKx-F33u|H`qObE&NPMX!TuAguHTB3@4yW3TXX
zh-(?qaFF7&>Zj(yXH7AZRLbZ$MeB|q^kDOE#``KNm7giTvk1Ez&Yz&LAdzS(5T33O
z!x~WQx>t>d+IS>Cw5HO;;o25@8&un8+~JE*JXAGO;;CBi(W;>}6IBa6Oy3-$D}wc_
zq?{QlIdJ4O;bHY!6}za*)+;6O@9ph@go_1cPT}ssD4-C6TGP8^+vEPNCP|eBH5gq-
zWL|4f2okEdEjEfQ!k&RXR}J=`qT=hsOhqIxM2?LdF6jTevSb02i7-$xeg5Na{mF!+
zI$~RIp}gP`eOmnQpD?+ht0E$Fjb&S*zBOYtrY~G9r{{Ghs%h=5St4q|txqFnie2w7
zu^2poP%c;I5o$uPjP<EPU&S5=!Y1iO-OF|kF@E^>U4AEC^8CRxT{!#EuDAZb=?pM|
z=qGv;Lj3<O=J8&A1Ta<)yUYJvR<2)}4W0x1!sxa5@ATmrp;Q-;Kg#!KDg2WJx=s_J
z14#4m_N`RsKR($Xw>;+|h>@@Ul%)NW&G_?G*)PDX{Qv(|1oaPCh5mhchsfrZ1|s$h
z%ZYNUbibxY4nj<V#?#gA<IguhY<ZaBqdU{SKR;Nd!RKHXEOJaxuD5!C3u4vdN-HK@
zjMGq?krKD|+0XGldqF?b5*er|ASnk~aG|pcX71}fkY#~J9lM)ts%KdkX!twcr{NJ}
zE@Bz#mNhagO3?KP|HQUO`z#+b2Nmp5e5!Q9^&XLApo-~AsGGixXpA9t6)6cB)OSBH
zIW?)3py3?R!nyDkRKnE3DacEeNV@(`>Lzx{>WjER5)gpGC;O2v-A;yH5LK~<1=uYx
zBfw@qI#DCIdo7+hPau?OYU+!)>geWF=EL_m2|=xUUNVs4Rf7I&fEH#B3$$~0Z0v(a
zm)Sd{Aw`SPvC{nR`o~D1MqUD}kEk~9mp?V~2#{!L!LqkzD=um*O6uxDELgRDp0qib
zkf$QxUZhy;+x<uO5WLkS1(z=JjtrG73W@y0AqkHLYP<V&!6FKRr9gO!h4lBZgFKYf
zSs+j$4V_P=DqK)1qIf6$1RVgX>IId>*xy35G)X~)w`{!KIA{w_og*Z&9dJ;>$*qjD
z>lFeMe448H(p5>1)y-f)^a02+|3B1?{dYV`?x6}J>18kDT(2ZJ==Y(OmXq<I8VZ!S
z;NmV=>%jwkkBPy_KY4}qkK&R|f&#)WI2GH#fFc_q4vyVs%@QapN#o`bR0q>}jHQES
z|F}V_<*!b77SjAdBq;cFu(`CX4Di0;n3C!9f{(Jn7l6z>{_g@{KBn>p#c7-{^Qrn#
z=OFm7|99b(mtY0<GMu=p;c#P|#|mB-juI6Fc3q<y<?lvf<|sqJJ<{~Yhc_mr9v7!K
zkna=>Et=d0d0l#lxeu<|R^*Sro7qd68d6+TJsSuLdkppU%gu(n=N@_Ds4>R=04fV?
zLw*cL;U9o4e7qDvd3pJhTXJwNIWLg;9+7(OdVOf%)RL+0CFS_#-H1ajGn<ojqR)33
zM^aq`?2#Z90SKP%16frf+Sj^KP?IdRtp{NDS<<yWzWfGC^rX30GHQ{$cfck@i+G9L
zjTVV;`J)fPX3?a0**0}c0GhGc`fu=emSq4!XZw@%-t|crOjSdjpP%O(&j%c4dw4|P
z4*-xr;??mc=r8O5!P}IgH(Q3-$hA<d!glH<9R2bbA8`mF<`({^e}ryOLQs@A$$2pj
zFl-Gx5#z==9?=Ucyk1U}nO>KaV5IA@U*AWh@YZym2`3`G0X8=;06`%&AC<N1dc8sJ
zJ=RMZQipfrMKui^01g;A2xe-}4+(g#WfH{^;_U1U=S4yk0|dcp2)u5`+klY}$u)b0
z80don=ywF<wS+Y7f99#H8_@`;R+v>FuK)^O;C%arB7D^pV}W#hUVi+?AA~R10#vz3
zW5xW7!<yUcUvef1R*)I%Us#2#9yB5%BGCfy|4#gW3gd9GwxVK`g>ADJ;!q3RXv%5<
z5mWjH#s;4RvG?oOuM?~qolkZbR#sN{Tn{BBB?}rWO+dXX3KtkX+%@y|Use4Y&pS32
zu+(u;mbZL02Ed2-N6mMa<9|x$|MSAXewFP4s&Vjk;^IFN^6S@BL$KjyemsTnvkadX
zn8vR?5M+bb53yLs|8G)eFbJ^d1e@h(f3?@|FAc&idRMc_o&WhH1gNPWSX{&Eewx3J
z|2>i-3s4?xH?q0@o{QfP%^?6U`~UhP!b6f}|ISMG2t^<Kho{Y4>$pLK0BSyMb#u@>
z!I7VxogI*kq?FR=vbhDgP^rOS+y}J;*N_ZMFur_!Zf@>rc^5J7tKKo`beeP1Vb-LG
zh`w3}vlU&VAb7#YBzz@!w&LGiFP=9c8OcKKfECy_dwYAZ<G1^x=jZiP-19U%0d+Ru
z&<1RJV--?o=J-@VK*zwYq+NIr{KMGk48cx`_r4Ffb%}|!$r@}{wK9FmN=tbkV)Un(
z&1?2PhMK;IujWZV_w{O`7(gV>S0%*6!uQc52J%ZkxgKre+MC!eKJ(vYB-ZowVuY+i
zHiFRj|1Pt4I|<2wI>Df#;e)=P*z<XEW)ZYyTC3nFn%)3=V(|*L4~n?|6NrIlkmnZ?
z)<XlGOMS6%_Vzn1D*hY`H1ziXiUd;v{to->1h@W9hZ{0>K(l;$7thco)4j&0#L6DX
zFCd^rnaR_Gb^Up&V5&3@)2_TLKk}nDGwVv2J|AG1C{N&u_a$T0&uc~CO+q>|;lcH`
z78frobR~nL>>g(h_j4m4?KBjENYxTM@?6&=|2JRgE$|8@^{A(RK^)J5y&U8E;)I^^
z<ZO&r6{}Uy7}trmf`{Y*AW;!o-oXFG#{5(i*mL{h*LVKW>Az2g5*%N7Q)%@NdhO52
z@lGWJprqOt&-|}X(SHXjl?KK7w!D&Tru08MPy%SQ&4}p);SWWDJFqj(`1?>uMRYSD
z@@zccg&pv7bDsv%7CpARXEs!D0tl;W9o8Iwh~PUThY@iw(9;(J;N5Q>v45xeH*Tlm
zjUbTk-Mu~E%BsX0_sfg@LZ7Ct!X4^RdNv`FyC{;eOh1=WJRL(bN=jsn)HFaTDWG)a
zxCGGEkOw@<jv5*oagbxchI9@})$(VG8&C6`_ZEfx@32M3%9yMG{;AP(vs|ToWl)H1
zsZZ`H#f7R1w+T5?&`R^s4^4eU9F`gh+)}`Fd52RrH_-{59x!vF+-LI!VQUXisy8(V
zh>n)vWS9VC_i$lhAr8U7tAR{28E|o(&4md_OG!mveQbTWHjo?nx+vu2sOidLz)DeZ
zfGmvH=d?nf3BI@k&mm9wuT+;1)>g+V%q;X_DPXuj091MrOq59?JB<1mW1>itN9dEZ
z6|EG4S@#}*@6(q8O=)<#zfubdq+hI7gG%wmAE0s!kdEq_U)br3?-*D{TMPvo>-`UE
z?tdP;gfd~@FD2x6`v*j`Y@!OFfF04wahoN^Pv@Dfrg$?Q-TC{3jWwsj-s5Qxc>>Vj
zBQJV%P}zMgAc0sj_c8))((gi7?;{q@n2uL&fGzF(4#%norD`aoT2TM<abOTw5Sf3g
zZP_5yb?~O6r3Qpv%ng9$p_Htxy`9++6y#d0xB))7@mC<y|MN3oExXsV{qu{1j^AEx
z1%RvrCg#5r08jjr$M&uj(-|u_F&xQGb}<FThV&3rJ+m`b7kq7ryRgk#NO||L3!o^@
ze_K&l{`EJt3^*-gB3^c0X2WM60Q1l-aPS>|(z85AQM}^~2r<VL=eg^Q0rzZ+6?)2s
zfuZ3PC^O(ECRhSQeseA~eCCxMwkN+it-aNr!k_ca>_a4GjsjHWhDNp)hwqzaIjr86
z7g_a{mH^=P(Lr_6b*9-H6uzqq{AOexuz_$Rk0iRjXyt;JVuPy9aKt;wPETb>FxR1*
zjc1#<fC)sqNvoAm3P?GC7qjzKLR6~M$lU<t?t88X0B9{Ozxjm*P<<}8MN-A6q9XoM
zMgW1&iOl(%LHYr>Zx{J8COr~L^?|ZJI*B(cssTmjN*=Rc1Nd)l18njQtY$Ubtb>Nk
z12P_-x^mIuYbOnE)^))_MoUj8fv%EzBi=xY)wP<amTSFwE-bvPL%xK6&b`Zl$pEk6
zC(-?SEf{bo78|t$sTx~X9vAv7MNm>QIIcD^A;HX${|b~ebn6ytHN-DyNs|Dxb8VzQ
z33=VN-mbsp0`X3zOyx`TJYAvcvVOnM_8=rABpO~y%YCM)q5>y@07cwg(%DsfmJ^%`
z6KC&uO&5NM5+9tP03-Cr-~*TO4=Pu1k~DQADaCn_U`3r}-Ey*)f|8O!r3A2U5%hqP
z$BTs+?e@$4ei_EP^->VNI!4TJ&(IXT<o500RT&`&{(TjA3Ikj0dpOwp1Z6-KZeY(=
z2{@tcqN#u*0;njpQvCpGN1zY<{r#H&VtG;7<+!MBGoHn$8#u$!w3mPou(;t+O#odo
zj`>@U!oy!`SkM@A=Kf6Yt1!UOoCeQfOISsI6ihWm4ZhD+3K%LtojNyQC#!SX;`caz
z)uqHP1?oaUk<#wxTa0cinKAP}((SsrsHmxP%kNZ}kIJ9clxM4|ssb{GOulcwNi+es
zI&jHD144*6is&C?r2sqs9k@dN=d^}im^rMFC4B9yS~wFjfH`wi4y=PZUQ&3qq>{9X
z|GmuY>}fy%1i;EZ>|M-Hie#j`mDQRT%Bz5*>DzrDUQGqxKUo+mXBaBV=SSv@jlee{
zeC?hN2+##_;R*~(CGU;kW1Ltvv!O2-0tJi*T_je3?I$eT80K7f_JGf2A2^8At_$ta
z+)q?=`FqX=8C2Wv#k7d6g}_{26JHx`AY8bVva14uv>IeLfp+Yr-2R5I&3iH*=@=ZN
zVH;p5JU$L;KV1M91uTXkS~Orn-Lgg`;N_P77AWa6$NHaY0|T)e@mCnfyZ4dxgiWi-
z3mKN=ercXAhuL?#wHSQ+;hGmb)-!@B1Ud%6WD-s1bQpIYga$+ZPA7E?H5{?Xah?^$
zdrZ7JSuH9tvEW-n{2?#M;aME4(<@hKmsftS1(h~3oIjy&PVR4Jh)34<e`b$hYsS0z
z4<)-G1^iM-Dw*dah=Ls++5mFKtV~Oe%40oypk#A5Zj22Dyue{QZLvz1c_L^T0=Sn0
zK3+sA0pI(EWJXmj`?ud+4*r)G0@`fVfkg!+DnU?jXF;>G$w#T)$>)V>CD0aAO3tq2
zl{bR-8G?SpFn#>JF12->ByT5cjV2pQD?EGV)9?*!?J5LZjfUS;b>6$y3WDgEy<E+}
znPlr_l7f4RkKX_X?k-dH^(PRZp`mc0`?)RpLKOG?(3581tLA-1${_@v0YBU`aHZP+
z>-PVrHuAi{W6)CNDgHgf@Z$`HU&*%{a9sW`${QuYnX6GAjANQ0`>RNaXXp))y-%?+
z0&aeSkiKkfY+qG#+M0AJu5+zgo^)87Y}~9}oes1pd~2Y2Q?Y~=MGTAj(cKjaL6nsf
z&o9kP_1W_oNqfn59!rrjiB40_M#(4Aw@(^+SbD?|I1m*bs3D{ze}1gzg%Lb0Z?G%h
zOjb>Gz(K?kGly^^QGXnMQ3n2j`TNH^7HekW7*Nk-WuF~kbgRi61QGC{(?LjkS)ucY
zmV`yCN>E|J|9&Ep5iSQowf0H>jn23|K$P?jLHd+f9#M=Ng54}$H6LFBTG0IWBOKBU
z2sk*=szLR*DcN&o%)|Sf)(FGp&r-=gWdfppG3Ytby9lu;HvB(R0TYylw0x`eyt)hy
zzMWX);pHVt=vo4e<OXEX$dUTKC~pM^P`=-|&o)3P_Rpk35g3%onB8ZQTaJP#=x!(z
ze2K6WXVt|LvjnqhYq*SW_&Y1sCy2CcJ9Y6Y%PJda&rb=bi`jAmvWqrF1fg!Cf{%I|
z)v*c4|12O01oe6Iv6|Dy*dU-;3k*bC^Q-75*JefRLs1N4w=8hE-He|UAK&hDIxwUS
z)4GWz#tt8`ayGvB?}%T$yc}vv_wXpzKO%^<8*NQBNGbLx>+{1s#{FU#7N)m883|&d
zIc?EN;Gea7D;SKrzdp*6b5lx_*j`o%{DB-7aRX60Z(&FuO!az0;J=VKqlzI=ZH<{N
z{@wcDG7zo^y$eZF>?mye=gD-a1=9+$C9W5KpAT-<-TGi6s&!UB#Z?o`nKu2}I5htw
zc;@+YLCA;|Evf6@fk+ThN!*u~dcsOKEAA5v-{uqWoH}mAA@`*xz!fGLMFCS74>W81
zI|WP&$lg%5kTbKXghbius&SZQD@!^NEW?`~4}2jP#Tdg{p1z8b_U~f<pwt;;ywNIq
zQJbFb{gGyjgf$r~BL;Z%nGTk|&)+2_e~kFz;?y+ISm#5jyFo-S79!SL2qNmtW5FTJ
zzY_@0fJ)YX6rk!!*7qc&%m=R$AL<3Q?*FLNLy9Q_&BJh?ZJQOUY{?z9X;noE0&6dL
zffCE4=Qwq`?W>gWEdpo6A4V1_oGK31mxEf%fdOJ8*gP0+Il7cpmsM+!l0d)rYyDAC
zzdBA^J)UWy>DEUZ6g&V^Kou8MO~tWQWuwM=8->vKE^D#QnUaFy4XjagOoVRiTkhyb
z!OSP{og{e=<=o<U|3#Fk@`^rK2iuesLMn?4#K^%bGmA7_2U-wZke64g0F#nBs6h%<
zD5KZK{WYpH%GcF_>F=m#)1SXDeRvNBeTNy25c)b|?5*HuY(Ys7S9PKcI9=#7))DC8
zlI}WWksqb}yVz}lf)GvuWmUVo-Xzch;=#A#YtZKx@^k7`)`{^C^br*){(hDe(*aCK
zPP7P7q?rR+5G#D4hG_11MTovm1PgmYF5Sg%c&GM1eez4IyuFEN;2nC?A%q&z_{b}^
zJOxnTj+a{9zHRxoqQ4@peWp<9pM3{Y_XnH2hWr#Noa%?LY6GmJO)DfJ({;{rQ2!s5
z@--0bU%_`X4XkY}#QaAVpF~^UuzyoCyOlP+8VVPWffPXp0|N(VlZ%w$$lsFC_$ZaH
zxlt930IcipQ!zsY!99UVTpb90ix-K$*^!{6#M<#)!eW@heYtwkNHgh)xlamRH2v?7
zzrzNL8WlAb@aJrjV|bUoDGTzrh&H4^4wbGcuQpw)EiGJ=FIAI3ApZ6t0zQ$ixIi4M
z)j*SzKcn{UL-PXBf;>D_%i04|g$$$`D2&|;Xaaf}5{~Q#57Cu)*p)WUOTT%ZQxw{5
zsSxyM%vF9jw$X^0<1EzKD5|Ina^hG~S=9g%BL_e4tL>&*|Gf|i<bYguXVmS*1$&AM
ztR+XhOTM3Gm@bcDDrLw_mha5sLu)$><9x?(+-b1#0F~NH^zfeZkXKn5OKIH7trR{+
zMDrIKH-RGJ#tKI$!eL;;`(qu%+#t9qp2k#hV-!^j!&mmlw)^_(#m@#%>@5eKSHpAp
z>|8`FgwcV*3~z>#d*QsYVPpHF&Am@Ct?l@;7akCo2Ss=aC^lRf-?dz<hV|DT6i!5F
z?|x2cOHk5Oj2%mJ9r`xi&g-1#UT<smbj1uqvEV$%bgRfvDLOaF#V|N=#I0|Cfc=3v
z5gKyJ6^;{iM!9JW+d@mJlhJ$kUA1rcw{pa{1V~*^lZHO2a~}odO{&K$Mb(AH)Y~!&
z#m0B`XJ<NW%uR*V*$xkBTJf%A4GhHl!YVhX+YKh9p283QF_5d0;`c%=*T(B>u;4=F
z0W$F!0djf_W1>Y!j!IeevJ*#aN7N#{n#bB!R&a0OSp5)tdbrK!V|M|r>BX+Ru?TIh
z*#bjR5SrgTI<gz)lFl{Viw~r*imA7k85gKe8vE$Kk=No!7GL>t(5G~iWxcReN;`_t
zEq%j1D8!J#`QWl$iS6^qMO4!fsdkoM`QQ$Nm(%?bITiU4-iDJzrLq?rDh_9H(@s?R
zrN6{I8k`5sfZS{QCioINr}L^{eIuLCE`O?`#(at;i@ER!vq#fa^>QUK;>Bj!>hM7J
z!<|ND%j5dxq7KaiGvbV^3nz_%)2qdd%Jz@Zl{0zT3IXFa`_Zmt#U~#vaI(V38a!j`
z7L_mK+3ubm7B?6aYO;y=w&%5r;`7RDscNao1>Uv{d^C^^6sSCqp#N#4R%J*A#XX}P
zrs$*9_h48J{`|PGY1H*$7ww~~b7r3p7#!a%lh{s9SNmrBh99!BeV?0c^2{H^2z7Cp
zEb2oFd9+(&->ugrff0X-)=j~`-*%s;g8ArG_hW{Hv)AtAdi(QHj{bA6$=Ze;rumMx
z*T1&0jVDk&0N9yb@wA-s?^N%<-v*)$B>^@TAt;CXdW%^h-sKZ>rB>%`528J{<-Y}D
zNQS*~XQ7hfFnFEwfO2j2s$jI=RTzP|sK;_}m&lWU+drYxz;u`wEn0n8$%3AV&CTjy
z8p9xzFYK8_M<qqi#gBoQNGI+QD!T~^dMi(I3i<}qvzA>MEf%S~qpc@z)@jXVz4Kv#
znuv*P8+8O!i4P0PW*o$(xr#wnt?HyZQ^3I5dhNGjbRZ`I8897FhCk{fJQdnkd(_c5
zuPzxH`MLl>dSj?n@j3H~^0X&dgBt&v){glDl}WGiUJgDxGndG}&s)C8yce8bfKW75
zmu`F3Qr_KQ4jV^0fDy3pRuQgY*K`bD98HuR%F>l%eerNa;TZZl7zTFG7U(<aZinH5
zYd3>1PVjUm+b}flSvGy+2}fggxv?Hnj)uD;Lbl_2T*Q0B)&AP~cpnSA$6gk`QTvkW
zmiv%#uaMIUzK%!caydZh0xJfTgZWdo2iMAB1oM02sb^=iY9xkH2z!i@YvlvB$7MAN
z-P~#|8yeML8uo>1w687!?cAO(MJX^0f>6RBAnkhZ6a}u;p12fA#g`xH!5WykNntK7
z8;6>N)vYLYChWKCFrF7mq8XRrjD)`3PkPnO)hLB-v7z|uIja(akm{nZ16qIGs8vC)
z!f%xhxTqfw&87IFGHYh{!p!+@R>i4nyPot?>W&wfwmw%6&0sncL!#@yM-e>yqK^aH
z-jobNiWvspZO&#;zwFvS!9Y=b@jy@5LCL{^jSbv#E!|I3pD42N*avNW!?-G6sJfEV
ztlyeZU?a%xqRJF<8kTd*;QnxxrLUi5zpUI~7G$Cc8o0!a6<V1l+_^86*q5id$5M<o
z9W=VRW)x#(sAi~U+SRgBu>a-hT--|BD8cAJR8)*2N4{<m*g-E8VKHFZpUIm3W9>yz
z*Uz?CXq7$O_G?wk8m8}c8Jwcdjh~-xJButb`0p4>Cu*^u$=RtME=C$`@lF?%eo$4)
zbg%z*AW+rz(cEDEX15WI0IAnU)2j`m1S70w0xBtSi&1vT7fly)#Ns{+MloCEx-kb^
zBhyKMcVDv^pN)||p+dg{`{;c;e7`W01x=5~Yp=~A{C|n1noburx6888XHCbgF1j%=
zIt(&WQQ45o=NOUY_B3vG8~VFtB)1HTxJnpKZRFmr-!D7;Hg>}R8DhcCrs{v*oVJ<w
zYZoD?;8yTmm<^2d>3_PnK2^r`WA%s54R)q|Et1O|X*(`TGQTE71j*f~EpIqWpGEdi
zIc*_pRSAz9oXr=o^7zTYE7#vz{sg~EeWd+vwmD7zo?m6{+$c~?<7J4P?%U!7ttl^w
zgZn?jI*fL3vs*gMfm}BM)ps}^`28W)Hnn#vUiVv{&5B4PI-W$<l5Zb?^D1bMQeMA-
z;r51@cImR`GspIXl*y0Ug{sS`*~MwNI<}o_HzZIsscFqTxE~vl{L^Ig^4l{R^ceca
zUA;!gnuXNjavQ-BW3EQihusdgK?)HQ&0YDrBMdu0FfI$sH@H6005?s%Vj{i(WxyXH
zbeiCn;lNT`%PT{VOWww;u;k=%hT<ou3dFzO9|oZwE&Lv!6p5FQ%1=$uHF~@A1<rmU
z!!M`wDcn8xq07j61d$SL&Y9M;i)WuS{^S~(2EnilH@(&k;8@OvgJXH0Azl*C`!RNG
zm18nNSK>6*w|8N849Yp4jELqdV*ha`;4Y$fEe>!pcv$!zLBxd+4q(SNo!MsP9O^!(
zEul3}nE$=okaz$`r*&(r%@zw>Fy~XHYq`um!{`3zCqxvS<Q<hfDl9QhNaCyce6EwO
zhuWXsJ-Pk__@x3Uv?APhgl`3Ru}hG#PN3e?>pQ4;agY8!hZOS>aMw_t=Ehy0;Xl6!
zx`FA2ZXHCzz54(4g9UdDF{9$IUBheJ@|6QT?^sJfmGReiW{@Eumq7ja@%ArW<|aZ?
z?4De_j>_6{g@-g&KnPaF5BTnuD13Z>4oH`5Qv$mMHVXKYAf&<0_6DuH(wyfl_cySX
zw}KGxVQDXsfxE&pOx_J|-tg=HXqxkS($JFFdjKUKqXc)BpHSH*^(sq?R|2a~q1X|E
zT4#iai4n7{Z72OS0ud2Xq~R)XoovR(mOxG^tEzgkEQGN$DRA4i)V7FwXEk3`!+mpx
zdhRrNllY5%017J}V!8({4Gm$w&;c2^6_ZqHK77(LIOvi1{-f!$CR7hrX?Cy-tOVe_
zDTVSwMM!F)?-?~u7qX<>!Zu4jiNd7B`PjC~$E7b$y`*pWRLK^id=)^<oj%qU>LMY8
zwj4bm4$)m@YdLO|Z#sZv`wNpK!#96#wapRB8m0bf%2gw7OWMIaFeaI4V;#}RD8nF1
zDJohys-*=bga#rdF1T7ny^^=}n$!ztB!wF%fBsS`hnP+3Ig}LKuJ032RbV4};^^F(
zt*tQo_-@N%B(&Obm@ruNqs2GAtt<DPn4k-EnV|r|Bvi4BA%eJvAa<}UneVMvw>K2Z
zaF8$|5E1V#k0U0tI%>8{8vYo{&pCg|R+i@0R&Me!X%sNiS&WqFzSt=miBJ0>l1hyt
zcENsA=^$<!8eHt)aaljIiEL<pNRAU7qRss?&ddi$(o^t$$lpFlV7;Y+WKvM1FsSIz
zXSq!c<aU*nnoCKd$u~XuRP;0<-fO^00Y~`?RT2TcbGW`@FLv&~i#wO9JtNh_chPEn
z9PuM;?@^AyK`g<*7oiLgoJ2`|)gckKS(Yi;MLpLtScqQ%eEOUa@GOhh_S#TWDjkha
z6;%qi;93K)3y<BHVAUARM-hJKMRaBEhh7lyfs0TAiX92Q@Ukf1@b_IXTpx%`r1>Yd
z$=75hj$QE}d*z%Zf_{)Jp$Xy(0}0^64L??%{%7O2!4*hHo8CVd%bObqWnmp%NqY%#
z9|SV^z_w>xVPPWt`k?n$_ysMX?0vjAHugxB)7EY#%vU<mWwX*`oPAjn9{K?GY?b4e
zJ;TCQY03s=NT(_kpFWFOJPWnX9FT-!!`<KyMFoq|ccJ{J+h6kXXtKttw42U_mJk#+
z`-_RQ5fyqS#UrVxZlXxZL*xAflLoAwKK%sB)rcm;2L=WJLngaR)v7G?gABq7kASB~
zRHVST33Cxae0r=s$}jaz4%ZOm8un6LHYjd2HtBJl)Y(afH@9=Mll%~}rlvwJUn|JV
zm-b<#e2Gem3qj1K&K)ISdlQ%!xZ4hRSu?OiQj4Ig86HwgA|fIV4@5RZNW@XBPqEq~
z+p<8Z%}=>zLwmgdjZfmcW!WZyUjAS!k>4_ikR+o73(N&i);S(551K8P=nh%7lZl2s
zzpx!veqPgC=x{{TI<<UftWo6bihs`06b%D!>S9xSQk^Eq3j=jP=;G8Gk69e*_N+Ni
zdp#iS)Il@`>9DQGuM^XI8Lrs)?Lr<yLY}8uU0qI}eZt_K#A0$@U>kl#lkTRf;h0)m
zODJGHQ{94bU!|B3Ya0VGSNp2q4V^dwr0Dcu(7w0XdBe_beBq>>h5)!iy#qi#65>lv
z@xArQWmV*lgSeb1<~rGyj;Tlvh_1|X2#$lib}CLgvdD%?s7`9-oJEWFwSk7qAW78=
zk9Zl!CjMI_#K7@+{!H9Ln8X$o9-7>zd-!;lKR%B_`5j)+fQA&C*C{R{);0yAvzL1f
z9do-3l-*)%A7pHZf-Gwm-UIXz$3!i>i6LP1+mDQk;{t(7Kc}3Ba34|{=!u`V2YpeX
z6qw`gO;4ph^r?J{lMM8^^G57|G&~%x6hYV~w}l)u7epdcUfBn^s9Yt4o_Mx3!1QWE
zuft((VzL4lzgS;w>nJpVFtzAI=hwENpCYuRL&5;-EiMpmm3PC{0a9Lj9`5{4uhf_A
zyqIO6v+&^41by6X%V!YKYtt3Lv+kvWuTP&Za`-M<mwvh0bZTN*0Ng@$`^!HnF9Dz7
zE0C$#$fS1zq}~E2Z8DU^+_6<3K71aSL##ws1Sj`;EL0g1<?PGncZRO;p7Y~Z+y#Gn
z4Mro68lY4~0sQh0t_tHeI2w0C_V=x?d`I4c*rV-D>&Gg`-gb6&U6bwY5(?o6cizAb
zNHN(U@=bC=h2HQO6FfY%2#tc$F2YD|V83r32A#y<O%(xfoP%W@Wc1O!D<PbKZ(Mh&
zI3Pff7c=}c#9t{Q<Uc#vYYbMC2tAV<8xaH1@fPS$#v>pwJs^|BJ;*MLQZAC_gYq>T
zD2>}c&5VH*RFlc7sBk)MYRG(ud>;3$J(?D<d<%b$YMyFuZy(WUq1sjk#jzIShagAp
zdayc(zAhTp`oP;7E7^vFfPfC-K_)195Qs}#f+n*C+EbZz(Na@CF>v;x#{u!ic4&r2
z`fZIbz(^g(A)H3uPAYm+U(nOhLB#J?T}ZCf4(BA#mPvtk+ElK6v%9+sI)v7;c`uZg
zmxJKA%c|#2koMiXcPBui3FPGuCdNQSID}&=Ha?!)^U|${-n9lWy9=EE#4t*<X#pg-
zVskIozTiK6HRC<3<!S-iZi3DVPRH+S6Rz(<o>(&?xli5-s{%b*(efzRLKPl^0mt$*
z<kztzoiTziHthES8p|8>=Nnd@u45+IaV|Jbc$DsK(}2<%APV?PaH<S@Q=fvakg4kZ
z&CIJu0#|ziAYd)hIXUuCug+l&PuCxCz*9i(EnI;tB03Q}-RJB9Iz)K9wwcrvP3qYU
zU~<cBgLH8<J9;%;U2J(5({D^Re@^7GlUz97nVYN=o{WX5TW{sTa{?J)858anbK?UE
z(}n<K+?TbW3r<&%e&d@R(1<B$)4_g@P-Xn%1HdX6o&r^Oce~ZaXVO@R&);&!I+@)<
zE$ktm<k_h^Ji+RDSeCLeSyu(x!Fyh;Y2O%R#2UcYutqFeVY;x}M)p`~M$)(X1OvJ!
z{uLE4;#;(j&k_O!dyi7j^<=Ymjt2q3nf2-x;GQ+T>ME&q0<BBWha8i>IIK415-nBq
z><yk^j`R;GC|~_2km2P}N<ck+IBLXl0jKG7qske%z{ylbbX!Zqz$i_KAy0iRgfqyi
z)9fXf4A`HCA}C<efUn8rmQK`0FaZnbohyno81aV-Ku&sehBp*`eh&-KojA?;t!EI}
z4y~AuEPEx!y^<|d-w2a}sDoI3Zq0FMGsp}}Yawf;&)Uq6WWbwX#2VjZiZRFLUx-q0
zGdg|b>#{U|DuJLECh)W^@0hd~v;n<61sVZMiQ;P?cBo;AJ%e0u@2?GIxwgK40Hcv$
z-@359NIr0d9a28>UzUuU4na|Dfm6LrVuc_azOtW0s+9adH^8W+x_34-#37NEm$!N_
ztli3Cb{YTqlQkf4SLw0qeKhjyd@;dlOx^t6RE-^#XU4nY0p%jKidDd53wi*5-(Tss
z$V3C-YzXJ07^TQOD#Tsx?eX3{CUuE*zxRMiuE=b-C>crj4&q`LX&jNqZe+^#caY&E
zR73!o@$5!ixQSRImVUVrR}RcsBdXYq)}zz5Q+?82V6*o86I0fnBODMaXsPnst#mRv
z7D!TJ|45+Sv3#Aq<J#Bd^=*4GQ<q#dOY(CbpoEK^)DJN}^(Xc?4)Z+M1C;ao0Zylt
z<Cb3rHHPKz=v11!bxBh+zvKWy3#a)5hd6RmRS2it3+25$7DO%d(#Y4X$L{S|jfW>k
z)1K34I;FR4OW)OqP#WQol-sZLfh?%i{P%Z<SXDY}06N%{ufQIcniCWhWRU=96UIuX
z(P}n!CGXmUd`4_5V#pScF7SL$W7@0)$al=bSgp^ClIUb;AV!A*9XZp3Jjz>~B@Je4
zMa~<i`WXfq{O7x8{MDcW_<^_x8FwUwVTd<ixn=IL26^+WEM*KP&y9M(+gnav6Gh8B
z`gS~5A)EMOSro9HCnuBD0|MGB@nm|!^jAC5a9n}KSb4zqC;$c#xJv3V8_JP<3>pnL
zrwJHN_acs^W6JW2Qp2H=W;Jk^AqRKDfb#fwm@f*QcH=qdb(?m}gQyn5shEBKaOs%S
zE+)!PdD&$wVIPBaQK&!~sA*^CmCBz8+?OIYzSa|UPZ+g1Oiwk-JRb@jm{oABaxAjy
z3;JM%BT1Ls9JI%dXf{i^qUB@T=$8so-qJ9j9I4aX+?VTrCwPMgW9*|er21V<(uj^-
zpOwz5F`!ECb?R54v8)1YkhsmW8;<eYHtGQ3%uP$%QJAX`C&pcW=lk%M`<5#l7~Ef0
zT@gZ8CDWC_(evKI+m2fd-GbqxGGrt|Ji`ZSO<I_>I16BQ9-lHLU$gWLs~CE$Gy#Ii
zqO@vO=k${hE4MF&`%2EI%PTB+oo}PXpS$V_72NIxrdg1X6P^ZzAwa$@e3N1H7)$!@
z$G0|$nwa!X%D!B^*ft$gXO1CRMr$ZidG+dY>uO^8WxAo%u}$p9<9xq5K()Au`$9uE
z0c*>z^#G_cC!TUAzMC9lK@XZ18KTV>8o<e@&cLY(S+ePGRyYA2MyC_s>(iX1-<rOm
znhx4%m?vQEh<4@3rLS97Z=VHj_|klR06ffUb!LM59MBPgy=;Mtwo9KDSf>EZeGbtf
zS{7u-!h0!u0LBFX8e`wTy!sIACAgd-U8^@W<_wT$^|ThIdT&3q+?pIn&$-g4BtcK?
z%rCBKB}24lT*dFG+RV2RTkWrgj^rP}xeIBvPuh`*-I{67fWy&$Xa(H{__ys(@IC}X
zb#FlX!bD`bJdO!#--MseARWWX^Yb;%L`zyb=c^F>F?K;Dc!!NcW;gG06)~s&mUVSQ
z`3F3X<uW!I6p+{ghOY~w5-en&%UloFO=y+G#DEB*))d4?F`{e-MRO#97UwKOZfE1u
zi*G1Uk-8{cVq@MByYFLNh0oA>fF8k?wJVg`BM&~K5P8?9S-anr7fN?+JCVd=n0G=6
zQltkCs~}<Z57|62EMsO!oJm|^Le=I}*4gL{N@g)RlOOFH5<Y|E)uXo#D~jDW05|^z
zpyS4T>_rgKr1jkco0Hvi52z2agT$2iJZ)3S_-K@y*5uBW5K#;@J*aiBdxz&qhqkS)
z?YcrD%)En!oE>b;S1s)>h88HLOmgR_{khA6V#6n2WP!8wGGSq&gjZGZ$;sVV+xOpz
zqE~U|GyrJFlS<BY;IH^wWG0Ye#y~T?=WIvy?U}Jih=#-)WJ*~)4BPt8U`OLHT*4Rx
zxn6s*c<gcdaTinzmKdlQGH!Di?=H$ioq1Z%DYv7#>4t^(>YPe%MZe#WcyT^z2cRIM
zcfQ<(cQS}0i!t5<&>(CIf7s}8c<v+RlU9MtCq(wZO>0Y)YqyMIqr%=3lSS+-nh_+L
zFuJjoNBIP9{9Cw9@j}GCV%{9a&|QordPfDUe!RLjQ(5RR0K4NZ$<oIjJMcyW+xAO`
z92&mXt4I909z1puJkD5f-|D&Bnn}x`6L42hfI=5Vk?0a8p@f$9l}WV2N}2Cu%W_{;
z-+HLd<on?BlP8ovkqzwVinngvx+RWgz}_Aot6z44=fvPi_sE#<K7isqFWCVYlJ*~A
z<x80Ygs~i#G6I@qL9U=>BbH(Fv(4QnN$MM>w*aN&JtiFl&#*^cS91cFU-W#J`rbMY
zl&XhqeOffKS)&#;PFteZY{5s|!mxBxWi*3d!=s|3CxJ0|>I!gbb-qKxYHe+{>p35b
zSx%}xof{fWZvmeBgXQ$FzAvEr%%^})tocVf2o>>ZNWf$G30}>ADZP#qQwUP_zUljN
zlDfmg0q5=4jW~}}y?1W30&nOc;iPe>xo~g1N&MaR`}|*TT>u2p48O=*7ZlK#y+XUm
zW8P@7;u17+KbiAqakU}8x6?_?n|yfCNdD~1^K!}aZL;21&<}{|A~rpN)692b0C;@z
zvF{J@aHxD^Y!pW%aIph`C;v;+DM0S?wLT{_n*cgoT)4b}90o-$wL`&Sdll;(6OcZ_
z7u#JK?5ul{?Bg@JmR^G#OHI4Uy||WajwE*DS8{$wM91}qW8;`X715MC=P0Rsd?tt*
zhZa*GPpB!9e#X6`xkT_Fj@Kg$@MMP^&qvBoCftP_e?lg{FW}*()67KF7)$bSSo`X9
znA4-}+?+H7G^FzdIEWg6jI|so(G@f61HHQ(a5S9#N+7YfwXEuQ{FW?pV2R_{&1o~_
zf(=k>2;GOQUQQ?ggyQI0BC$NYVwx!n(O>_OE*dEZXW?PxUn?l%rFysnJ2VnFBdCp0
z@G)sFBJy<cB39=lL#rvKlW8gaB7Q@ijz-wui`Ckm)9fx*4u>}%^3k^W-u@yzi#lF3
z?qD4;-#sxe0obbtGJKz!r%#8fg1@@2=4Owa4CX3OT}tQ@GrluBIXMAs$Ft6!36#)I
z9Y?P8CkB4ypK3<(KIJNr>Lq+g{&EwvL=zsm1pVaknR%8Cb&}cq+26%P;kci;1`A9T
z)hrUuR{iJ!{pJ0MzJ&}E7Vr9@6CL}8YnnW5RWf)9kJ1G@4A2pJBlu(Q1k{tgbj^~C
z!_IOyG|Z~$cz=)m2>Z|tux5v^a%~UuHN`l4ir2o4l;#dF)IAMuqrczugcmusEarIj
zzD}lZXxl2)MrvQPc-?+{^)yQOd5!3J@|xpPo!^0}x}9uSV}!eW6T|!G)RBjAk`#}H
z>`7X0{-7H7N^#xfLIW+|*bWj`zE2B)HjbZBgA)c?#6a$P;E8iat`QN_(poJ#Csjmb
z2w~|@yy7iJkDXhgha$6Zn(`dgXT_6`B%K%9;}w5Se72o?>;XCtZgbD@E#_nppU)su
zUOncwa1puy7qj;{e4a?NH@l_T4nWLJL%`BS0vf+lv;&yUSx6>2m6lbeV&%7#v7fSn
z*0@YXnp1gGfIVNC<t)(Z_F(aX7kZ+IIinJ$_hZbQe55-Ip2n%U>^PD)&VJ0nvn-rj
zNBQZ+TLXFh?HegQntV=9JC^&~0D^Mru-;=ow5diE7P(u~bzW!-aHncyZT$f}caIob
z=Ob$R2j;pd67SW#MWXDAwphml0Hy=b6NEU7HhUMTaiaK$n0Ih+5ZuYt%Z;)8es+i)
z!P{)oJ$_t$vY4>*M0O6%*0wlyB9oG7Ja)LsN_(CIBceU%a9y%Rs!Q8`pVxl5H|26a
zd-G@WX0W34J-D$ei;5R3N1ge8K#t3b7oOQmNn>w;mhK_N;@N1K2x8<sLHFJVd}_2D
z*uO`Znid%@n8eD|_-4CCB?2=wiw=TLE~}(zu*-|F$@{uEusyJRfE7oqBHg&vZTkGy
zV6(~Tq0O^5qwPUB(Hu7B!=-oBpN+p74$F>;IRpKqC=H^F&_M67r}`06XdJt6?}dF{
z<RPMyeQ4croKf<p%uavwwt?+4f)k0`>`2x$*xAQZ;C9NH$fby#W|`O^rjfy8Ma31_
zSAoeFY!2_8B=v$4i`oe_{Ibi+LvLxh@&(r?xD6TcG36%hjRm3R*Tfu#Vd%?2^q-)5
zN8N1}g2XP0&{fG)X~OF6hBbKDzXU2lE5Ws9tdU|v<{D}mIY`M@xCr{e^nLK*yIJgh
zSsW1<Q6jTu=!-IgzhI3PnSp~}w1$_ZZBGfZ6u~0%+rV{%w^-bJ>9hYBZlF7{B676J
z4RVgos;yrXsCct8(9kfO$U-JRKi&q#?Guu7#hw@W)H5FUxNPT5K(LO13wy;I`Js-i
zA_qIp&-1To7-t=lV@7?&B)&T@>@t{$?|+BAr+ZX1&MV!?LP+E-^<4fA$3uQM&T(I?
zL4B*AdOpokFn5_h`}-D!oFCCv7KT7|$$Vzz*VlZhj-whS3>Diw@2+(^HhuTwgHXqv
zGuR>i`@57s&h<EyN+r`g-c`WW=S~F@p^pq4dg}s0Jm5N`dzZTJ-IvG_Ep>VM&wk^;
zd$a^9@~Pge<cn9@O?ydOBRHgTO(=`aawwTu*h!LZ%+%H2-!p@rZDFuDAqrGYO0@Xb
z>Y$-98hfh8(fa5ffFJMCsXchX^m59vTV?-C>wMN!h1u{#jopu)<65qdZTH87^*%JV
zUE)eKk54JS<pEM_Q>D+W0{tNBg%kFHLj_89(v^%NsT>J?1bj)7Te&7*SrA{Q1>Fjo
zb4F^cObRJRfjL>>7iqG$M;r&Hhxx=y7vTsqoA8e+1)XN1Pbof2*LFWpih#)x>{F|Y
zAL2xW%|?ij&zVuc>{8X9i<On(W6-B{b8&GUj;7ueW(<tyYcuR8$ctSzlUKsv+SjF9
z4R~W%jHWhrz)ogg%(?%_kO;lre3aStrS3gsC5a0pkq2AR*v&hQKBd~w_;4@2w>hY-
zIj~`mvTTORe2WR3aHP;PiUD{S>lse7dwXj`SUg41NFgfSTmS_|nR?HqI=`h<>@K*N
zKU^%T`G!hZQE5Y@(k8)9$E>#Z#L4sc3vq3i&wFRQ7wjpiPD*i1P<b3f%J{ec<%U?P
z5m}iYBJpBNaR<T!BJk`Mh^E7#kW#J6d~iS+h;|bqn#>5R%XNwV4yU!j&&{ZhS?%wT
z1UeZB`UI1Qi`sv==$G(|HUN`X{u)D&7aP1ot5Rgwe*p{x5K_Om_g|U`o~yVq4008}
z2gXDs1_tNw6X|#8?<guKISKlG{~*f9-`To|BrkbY$}<_SMMj8}aH`ZE`vv#mT3;T_
z@p;gO$T<7fxJF4fi1^k9_$gG8V&XuIby`5vKr;};k-XiT`riylAPyj=p+Ti#3c^8{
zSl*E?DfWg}Wz7A|VdW1cbOBJQhu#@5DXoiTUeZDW1e=X#z~znVvpy^Ge+wjL4?**m
z-p3s}7baPSa#yU|cQ?1?OuJK@;hCT7|IB)Gx8#GizsC}>)6;>jA6}%r^U&UAP%UG%
ztIPTagY{O>7i4@VbY8E55ao;tgy+us@lpG5ZTTj*(ZPCOpuF84Em`r#c-od%=nZ)V
z`TV^6Q1@pqNHLGVv);UUV<Uhr^(WJaodnMw6qhW<utFOT8n#Z1if*yfZ{I63ZN*2K
z>D=!e>QdjLA6=`-hhd2!K!CiWGToAT3MGsINws>P$(teLMstULZ$ie?TmY<gn+xnw
z3S)RDj<*=<{_-eGU)D$C;W7(GKY9k*_opE@Jpd>UEat~Yy*yOIOOSiF^n9PEgDl6_
zw_b+`ttj<=xZd+5y_ES<TZvQV7Z1h?DKUmVBlK9?>h#k6%FT+S&Q}z_i=n3WNNf}+
z+$E!)9{);!1FO2bv_-SikjdPO4}iOe-<ZFnV1b*L>Wb<#{{@euDXfal-F0L9Q2tk{
z7}NVTRrokVPnBHnqD~{~1ts}84f!FoYLk)Y>Sr_&npt;jEH~%UPuf$eLpQcMKb&yn
z>R)m5w}RFnCXW&IASaJIao5y%I4#{Z^v;xG#cu&YmC$jU-f2u4g(vbFH50|qUG0C~
zN%wG`8H|1dtHKjK%^0Jg1(EwmhXpn(EMphQcu?h)%@i>wM!^1y?1hlEsmimcM@trC
zbtY?<g;E05&wq>e_D#gZ=H<?llRY=x5Iv}J+r`@UHf(2a19@7b%;{U@EbchQdqqX`
z<ygKPy`h=zQT+SE3@r3-*EV%do`}NkMk}8hP<|{)FD=~#*Cn`@2?}v=f_CQgI!Oec
z@90(+z@z3k5QAs~+Nxr=%`&5q2KTX}0GuxdS-%hC9HyX=nzos_)703HOb;R>6QYWk
zyw%mZ>2ce`3tA6$qy93O6XUd_^+r*jr>ER;%u%I>`(iEX5rb#3j`ob#aOiSWoa3vQ
zlko0Qsv}F>5lUy%DR4P~M<Rje%LDQWyPdT~EYZmSp;J=%p<<Vkp@C6RQHS(n!%NP5
zAjtx<(3m|StB5O5GU`l}pUcGU8WGUm!uWueh}H5jq>4A?sxOc)ZIjfGG4A8)PX1{M
z%XTcw(y3FY+F`>_M$g7<y`X*Z8+OMqGDVCw*(*>)@uW*G{kegW5!DyBH4ahKnNyp7
z1u)J}lzroIJ?*x}i_9|%GSki`@q{Cb%4nM3>W3TyXg}?}p`owOtR8C+FU-B`ZAg42
ztZXW-?Roj#z4YUErKYZa`IbXVwi3NVzlKa=tH(5Sxv1v+b)M>tkd2-;=_X74?B-Mb
zd{y9-f^bmW0idIeH@7S9ccbuHdkqT#(r!w{R687Nhn%D?FSolDUF`mGE(j#lw741=
zcrQu!=EsuE%(kA<|4vq5M|s)Yq*|VzbydrEynjA^rY<lpuc4|rne9GgKvixv$r}P=
z$?uR}?oGD<PSWbx8b;Ghx5e=J?3@{-uAMf2^F${hsma3J)Dizhr%Lr)l8<`=TE|<v
z%_;W1;6{r^<_`)>$^?h+ZYBhp$9;Yf=`!UekFQWxoH6UPS4lTzJ9DKu#6f>h;_LJ?
z>x0v+&_<)Gp5(#e4b(}s5tzcO<;aaQp)K^y0p_`QtOtBy^>vohb3u+pqe`XeIrTz8
z_LZdCT=id6Kh0MyeY&Sbcw_|%kXnKXaD-US1<Ii%SHog>fr5!xkEsPz<dohey>o9v
zjln+DP*sXcR^H3^+f5uSJBmgcZN@QTiK_X19^rX@F>baK?;aR!eph+ph}`Ezb*Dh8
z15*R&w(Hu_)oK@GS7DlFDaNgtyjAUox%2NWB%LQWBd9ToCfrLtA67P&tot5_gwc)c
ztPUd`nU7BlZ1E_kR(493ZH((@PP5g-G_bzGV82^KHdbd*)(5${tvx+n>a1O3F-M)6
z%Lh58Dz>V=O5dm)eSfjgQTZUT#_h;6Wb4qE#bv}r8y7TNI0LsV9c&`6NZvd3Lk{nL
zqcuQ6Ii$I?u;crl+f;b&YrgF4taJ}9R1@_dl^8=!O>S$uwFj9)|Ggv$1n>?Ex34!<
ztX5%(((<a<bSdNmY$K1TlGf#MUQ99Z#7Bb=;#gxN*Pzc%S~RbyJc(=f%j<`7e@qSq
z)r}}M6)AbfHf6dyo_6VB)MZVoSG>2mVLnpwNU^N5vlA3!y{RP<=W9#p0GX&$9)tEM
zu`wz;BGeguE%z=>XnbIE_YEE+x>x^)tha!wYI*;M;m{~u(nxoABS=U~Nq4tMhoC4e
zph&k!ht#1%K)R&6yIb0Kj^2B}zyEsgV!60$0cY=-y=R{J)DuS(lcwkKOm$$&s0t&)
zMFS%@;P2+U64H7thJ@5G*=2{tnTr3G{IdNd!Lz1#M%QeY0n0(8R^#G9pNI3Dz7@-^
zPOYPrcu!G(rP!?10yp$D5OZ20qam#FL;l*tkd<@&&5C$j*ST%fsmEbfQ*-X!X`jdG
zI0$w){~~NGQt{<y&j#V5tGKbm&QbHCwZyFZ(o}nl1CPem=h4PGx8M<I_K8`ZKTFrF
zQsA%Xdw<PbBjKt$x~>}I=8{VRXUaj7lhsLqk9I6&^QK+Z)|s3MU%!3@V4=<vzOBWU
z-@p%wyW>=Ho*KaGwxN`)oGw}i!V&Q)0xp*U&$SO)eoKH>Hg^7^(<GqK`Qr${7K1eI
ztuZcbMdii*eNp|C{-N33jCCm@?cdYmRS!y5yii)kv;MuGPr+twFrA?@HThwWcjMq|
zdc1o*D|?xr@BUAJ)o7#X-@&DP4Q{SmM(1mGqvKt2@2zMK4)Zn^E}q=SGVZlY<J8|4
z)imGU-3}~LOzvNx&6mJipV{{%)TLHh9R_{VBbTW3|CV2T(k7?PKI?NCN2Q`>W?$ZP
z(^=S7*lxNsFi0NfcKDUAh90XosmbTCjRPyu%0Z$u1P*v)_d&~MZ|@`dz0_3m=lc4-
z)T}PoKcS9%zTX_Li$FjIh{ve=c9bZ1f$FPxX$8)KEgi|3|CEbh+3ZM!>&Z}0e-v~X
zwyYrkm+-%^UWt&tf8o}XZdCcUN~7p~FCwmuE|-G#rgl=n9*PxyRVlg8{J}^Q9f4z|
zU1$B)<%OZX_3heul;Q`Ag^Gb*=AzdE&Ti_q>qCRbPRLM4Y9>uht;MrBy`li`HBSw<
zAyMj_y4zQ$rk@qP)w)>CIoI#WD~jQas;*kA@PyTL^RT1_0p9DEMiJInuJD@AtRuA9
zA1mSt0RRNFCjlRGETvypd_w$``+u!PY7!9byAv;PY!|8L{bu;=Ij^&X%c~UJpxz5@
zga;8HYL&J_FgneDLs@M?A_Rz3w`M!%NM;+(_fn#Lt>>FJ#b?iZd!MN8Y`pfX-9IrU
ze^2p}24%l+qIcHV@b^aY7nN=2=-u!yv*J(JNIIwbS{iFUbNJdma3a+wZf^sP!Vpv?
zKEh#EQscIoE^WpCZ-hZ%h+4Z-BSp@4(Qacx{@~$Q+s7|E34IUE-jHrrw*MSAt?xkC
ztMm2A;P<=pup4K|IK28Xr|bmTjOHgC*N6MPoi?D#I%C^q_WCe-P?Y{FPsj@|+8O{F
zKrlQG-!toIYKnq>ZCM9U=f(T%2u#XH#D&WFKC3UBMss0kes~1dgUh=c`@v9VCZ;Up
zO*fx<nML&gGuOCx&;DDhz&BBfz*j_CGt{{gCDt<;)oWk8uu_#l;rPMz>Oc_N?~|RF
zl|a=lS6Et}NV9g0fa<-qFAIy<=hNU>%RFO$i+0W$@kI}>!%{~=)8(WgkGt!V_ON2F
zwY7zk`<JHaXcthis&4t+*=FzigLd5pR9|tvn(8L|2Td<OJhlR~G<GW>j7{?SX}=fN
zz`;zV+a7>C4Z13&5I%d%aR$)wRW)e_Q-IguveyGV;=fD(NfmgLU~1NIC@>~k9$xh#
zXQS6Kfv8ZKdrUx8b$>$mt#nww#c4FH<ASlC*6x`jyCvpxbO+IFUu9vln>tgayw!#=
z+VAM+SEnNSdVH!)rmr@6RW`&<Y!m#?Bu#dDi{3nZmE+j`8&_kX?%9P$3+6yi_m2+8
zD7MJGpCjl?L1`5MuLDY(##^7r%60-6l$aS!J5NQ9rhHdet?L7M4`kol4w#`e0i#q8
zEU)w&Re4g}#?RmwPIv4N{<{m<nc~kqoJDG-_Qb709*NiOCxaOHqc{7hLSu#AGn2;M
zSm7UDX+tSW5?hLBMQF|^Ormb8hMqJZ2zk9o`MI2i=Nol6OXA;PG8!b&(qL)QRs1{c
zm0-cRg!t4msI^ak-7&k0qHw8V1bYd$VB8kRp<{Ww`ZwJAob19|`L-?QO@>Gxyw23m
z=^tIUw!Uz9kTu>XRp+!++!+Wpt~TC&5ed?_$Vulpa>2DiJaSX?Oo{)kr+c|u)7<DG
zBd4N1<MwUkSk=>IVZ>Yq11@2o`Q(Y7-i$!Y)j;>G+`<Xqr_dby=G{RX`I--hlLl_e
zOY^j4z^!*e38!rQ&tVfR#>wGun|J(LlTl-3zu6pe!rt$0w5`tg*JgEBF)|mSe=h0e
z-AZ$dycM}R{H~#&)F~lc)U{vc#JT=i<XLHeoqJ#8Sntlx$8ZuMaPV3vZ_-mHp2HOK
z+1yjkogOLqv6!l5(wlzhn4D+Gck6P!F0wdvdGv-n9ob;vxRbt_F;#+gGpp}LBeBIP
z!`k|=Y@t|v=78Zh3eE8CSj@szERx7xLHBDP>j%dBm7|`NqK)cT@tdc{b*3?~6HZtG
zEWX(dcUDFY`)DiI(IrwOhX1=U87i*7{;2IMm_O?IVZ1TvDDjYWaCG$Us4&BB;<q(U
ztN?dSYt`%mgmo?1yW~6yiMY=@IYuSTuFr@Vj)deB$eKiUucaI@$rJI{JS4}Pah)|?
zBtNwiD0Sr<mrlRD-K$3MB~L-0Ei@)!UDR&u?!hN797>#2gbUGype=E_yi!E`m<A4s
zqQ;MpQpB3y(3t<-{$w%(5W%7J-cO1GeboQ9*YtaI{d&LAh+MV!8VBEgSlIodf>;Z8
z_80%uOdI|C!R`5j#HmX22hLNrp!{sfNWPiU;#1L^!FzCbNE+fo@o~0tJ4d7MtWU*8
z;%4J9|9z6rO8h=H1}paR-o<c<@<!z(2H9d)%00TjxTV^lh_M7k-2uSx4p6;b6RtWz
z0O%u=xs7@@*mFK!<ho~D-&1J)?_pgJ@>ayU<yX`yTCh<|UX_2uE3!7nijnkt2OTvk
zM7GysMdK?2D1w=xO6u(m)x6=qREgG*9Dirzc{I5@Sd-=HUwn4mdG4g*_I`I}CPne8
z<ACkB`Q@X-da<v4P{KpzQrn&^Ir;Tgr^D2-h_cq}*5nk`oi-g4|HS0x{mS$Pr{UbD
zuf`4>(|Ve+;yY4l6)3Oz(US#Olq9$sVZ=?R%c~45Hu$|$q>tXz*oqLc7(ody^vD-_
zU(5eiUSP;c(%^3Nu*h3|YgboJTpo9j>su+2xd^&y(#8*a2Y=8o^Zc3N_jJVZ6LfnT
zDrBrI94s7-79{(CA~furL=%jS0$R+YQ3>^~)f<(>Vdp2G26fW@qC5W_h5jW7RS-#@
zE!C@!lFmG(5#u<Ym8Tky`rqC}%K>=AHACM414L?CPXAYXeBUS?La`J6AN}xUJU{_%
zJZvozQ7_*C|F}fjt1ck=+}Iq7Xjbkpx#@a9ez$Ee^Uw5zq6HBW+h+KCPEFjcTa?ZO
zWct0RA>`tcej6_N1?c;nUgZE)Bam@MNiL|>ilY}~{cKwEqklkjBEl79r~S`@xa16>
zwcChT>%ZsM020`F08vdwCFn&+a^rm?5lnh)^UunuP9Kx}aYiK1vxa|Oq~^dt&#1!n
zu=BiOlISzR)9Hs848ZB}2qvI2C+GX4Ed6_O2W|ww${2~?h8qdVsrr$R?&W+u`N$yd
zZ+6<uf#=ee3><Tkcz9~K#q`L<FeC0iZ;2!bRScvtbtd!uq~4N(F2H{M@+T;>x0zUI
zc4yQlt*k93i*&?b-m@_Pc&O~GPp<v%ms@KP3yX?~9B$Vl1FQ#i#Wq(lD2YXeC^(PD
z8Z}b#1cvMreqCJ*`P(->gn>2;0JM2s8c~c3FY&L$)Q0~1n>YLvH^*{PFllqBWEE<o
z@zFiXu7o7oEIiTcI#l?6%V?+=Z6M6hDhcKkNR%Ek^5F$pFdR*_5v$AJJ23IYldF(S
znW_IVo_vf6EDA^pP<R>^q^7MKAI!^Z34n2Apdxpok`!ZygsB3xdn6K%8J{X9<%T_w
zEeK;VX)9*B!fvZo2l2Y<(0p$i`nsX);U}2H-Bn6b;oFK?l0^<`$HzeR7AB_hn#b{k
zHhcAWjLgh>jb6t9GvB$l`6N*evWcR_ueU(bi_=N08CNUNNa~PZ@6G9cV(&i9dI?O)
z6bZ?BQNDE^`+74Ce9RG&57As`arNJDW!4sZ%^%!8(#y^Qm$4ETDB9{;@4~H*m@Q)h
zlm}L{);C&l@1gCPO~h%B_I72JYd$kyCc&)VRs+eFInF>%0uwCA7tgo6{tY;D8e8Hj
zWe@^33w0zti`VbLRuw%)gd{%0?Y{t`8z8N7dg~JhG&d|PEcX7K;9nY=c1Nh~Xl^FS
zxFcTG!*QV6ZK&Y~XEUHOBV^N4O6IlQ=ueWZNPjh=0Af{kK=;(CFLKeQ?eEt&Hn=Sh
z4yG#^*w|nSJnJ;~_*n&$y6o%~00FUca7Y}~uEO+P?<>*Cp72qtF+lK8lpH3r$)o%G
zGV-vugtIiv!J8&633(xb1_t~wT4n&61g5tL=qGVurO5ex3Mlix@D+C!NCbhQUb*KR
zat0@W%uFf{j<SgZ@yjIy(aviA2jg&0f6X5T2=G<McjxZyIpkDqBXVqkR1=Q6wU284
z$v&wCwGq<QQpC-GaEcYwgq7nY4R^&a%CiGB#E(1hhCplG*>RBC{`+d^b#fn=#^%Dp
z-i7Sf3#`SWXQsJ;^#PJ#q8|t9t3bWfI@i~02i0XaZce@M7$)Yia+t3lcid+3Wj&i4
z|B5;m-MW?jrE4R-zw)YKf_<(kGazk?2|S6kKxCJ?CIOe+jM{<shuXNY{=PAg5;DmZ
zCl<=?yF0F9>^Pbm)%5BCh~ps^^QqF;IOGl=EL6LVzZ6n@hH2e<e6}rX2~dk`kR^1=
z`z-;;`J_}-Fi95tI~MqmQj0tchD!1cFMy;G<oI+Z?RC0KFM$Xm9;>BY3PA32&=hM?
zP*#+9J^=cXg1QcOQLFw(zI}$q`UP)Ld6|NO(vX!Y{Me-(IA-qmK3bdK|2F)jq77S&
zd130AT=Syzr&I@ME-SHR8%qMden<@0olEi$X&xB*Vv=3g@<Ejt%h&|WvZ|_H0cab?
z<B=6%@V)GmLVJp#-|>%Sk;lW=K+}mjgY5pS>J*4wISwi;i8yL(t;U@}I0PVXpM2eg
z?vE8{3@<p);mm}-b_+YKH*83*)$oT2Ado#syr#ePO~Dy>eLE_6s>*yRL|>FC^%T@1
z;4lnRTu=|wBJN4aD3AEgi=3y3xn~5WhsL!6^#e)Id!u^a<#$9A#kzR5E$4P2YGk}N
z*wNHdX#D*CRP(^gp*&rE+ITv6is)Nr+(LokMce*9tb#u}WZFvUA%F5BFHQFqkQMS;
z#&OO(s>ErPNrdGV5VSJB{xu@X4ZuZG*?Z6^HtCtL5KtT{O`kS_AS;Gcmp26+ZIi~Y
z=SL+IsE1u3Z-p_E`S&WS#;WFjH1wd9msuFM-)Lfir(Z!4a1*u(MtCr;BS@Bp(_?Q6
z_2x+)0U;r-UqtRoEa>ux=pQ56SsV3s;Y9O&xEpjJ)bwEF>jSBuueQRqW?MB{H@CwM
zEp^x^ld}Rce0G>d)0yzpm8J*Go+h(EsfUtyx<bc!1_j%N&BeYT8ohUwLE*m`V>PH9
ze*d<<)Hy}-VOAds2m9iFrPODkPu!44+k;)afT8ocx!A|40hvV%aWfZ^LDyN*A;~0U
z8@R3PWS>djwPvck&BI7}e_c{s=x2LXToqU4F&*+2r?9Z-B7V;?PJJv4tnMc;wm!Xj
zLJ79mW-6e@czd-4qvhILJQDhJN%d*~WjZXKmV-9~h*gOl6*$>?!rNc8V=i!d?!GDl
zeJHIn{P}eYY8+?ZH=I<Bs`T~u(<)TBJ5%o<W0Kk2&~6_Cv91%xt{zoOmA`1*B(F_I
zwd`Bzae`SX5j0~3D{k$_exz<h@X?V1md}&Ro0aT(varAs$y_X7|C|)ZhAQZ1lWbPN
zcJSe3blvxT$Jagg5-q0;HL_p_0mcrP0iq;y?C;i@=>d^h2JIQ}W33EhP1BcK)6dS%
zfXa(UDMhxC59q5ah)0)!jQdRtO*O$fKyQ*Bb50SoMhQBt87>QK#AF@qhgsZ%1TgZd
zfsQb|B&41U-FL0Xg0o#wq;d!LM(~IW?)FD_B)>R_2fg%7oqh^^c5b<Y*3mjn0lo0P
z#tX}asEv4A`#^Lw)y#ZW3r=}c1?6XM{;+L5Qw7uq|6se||KH$I;S(n~ANj&p=Nq?$
zDSRQIFT-_&q(@XizRPM`j3z%abUTW!>v(Y8&ofk8khfnTp9?SIyI<LfT=f;rmVZ&1
z$E@&*%3#0}p=FdOC24majo})1Kk`u625U++l2`7&UVS21_!D8od>dF)8@=rS=x_1K
zN|p?x+T{CB1S^2QlLyxr8dO!0Dtw^Wz<Xt&1u7@(#Ol4L%_Lu0-2a3IVCVnNAZi2E
z%^wGtDe97!jQ$E9f7b}EmqV3C2qyV(lNHvtn_6F=eaD)4!ksnRU$JVI9t#2c_QpJ(
z>i#rxA1pSR6+RAZcXXVcln<FDvS|QyA!W^bukD+|mc^1RhcPQBC-&p<1GceTU*dP%
zD@pC)KpWv-q>g~{L$&X~U{d-4p$BUNX^DEvhGAeH<(qoP5U_%|VM$k<{{zT}N;ZN=
z_(Q_yk7=+AUE+XfZ+qvkQcQvXE?g$dV7dnHsE`<|(nUTO?$Xx;5*7gg;z6}R15d^?
zOO>^mYv2o_T}`O>Ls!9WZGU`6eZ}5#`!a<gsgnZSn^%dYj%0FYsZa5^#6#>|$5MCJ
znxGr}1wA5s-OQd>KYUSU-1u>siK5vTkF6RYiJtI#jL?*D*Bw1fi(6{hdGf)yBuo|a
zp_eH98vmBWmr20nlA$994U;6p>+b2@{ybWwpK<_dMW^`|_tAwY(gy;a$9@(*aPXkc
z<BmQucN35CZp)RDC0<$O(^o<eE-LsIp3Lo!tI-5@lT5a^+Q_+Y??D2YS_|)n=&T&2
z|EsZlb(r>Lz(p#B?Rzd|hv_ipuFiJy@-f>iX6yieN>xd*@p45UyYy2YjZX_ncwwmS
z0Y~3aqTq5>p@gf>o8%q9P#`KDvqsFF`%z~4g5Ale;@vUz+tUnr0xJy#kZM7&kSoU2
z;Z<kSi|X(mdIz&R|M?OJ<=|fX(^v%<>8P?7u;MM9o7|YDWMxy6tnplY_GDVI&q_-m
z!XwaTZuD#y(V?Tlx{`gQPb@Lv(o_TiS4|hROtx925c8R8D1ALbQ|Oo?OfdB&B{tTy
z{;A<A)7MT5PN;Xv7WP-7X8jQZV5<1czxEEepRkn8*Lb^j>PNZGOW`mZ?Pmf9qgePq
zpWh7Hqpl|UAO9f2$?yIN6s&_XKC8brE~)F+vCXv~tHG5S)QzNvcNi4IUwV0Kw9>_n
zYu~*L#*JNrMzLWlIlUd9C#d>kJNZ-A8^i3b<1f1(;m9LGXnZ46edezEbN&>I?%hlG
z<kxw5U$J)i9RPn+GlAIiJOy=BrCI0&<rlf)m%}Rgek$p2tzCIYvMiU%Rmbs<aA^u-
zEhefTq0KioimLKF@eV_=I%N4dHrJ*?mXjOB5{S^0oF3q^Hscmp0++kl>K5od{Onnr
zDI@&ecFS@?z7rzzCo}7^Bv$|D{Mkg)(R8W5JH(eky}7!_$CNfN=<-WBxI84FJKeDt
zMC!h21$>h?Qfs4~@{9Q+;(~v<X&Y)7d5@?)9}di-l4rQ5sUxiGU?V@^n8ykwBxY-N
zzpmjK;RgFWBYY~S1hID64AmyG%78HGac%b2utP2T?ifSXk4LMrx_FVwFU>Vs%7;HO
zsM6OaU~bP{e~opEvXl^8ovFUAblV)vinO*vWKL;#)PAfk!?YS|MN{gXA}L>~m6xv^
zh`1j<iP-7i1WZW2#pRA+Zc`;Poo^vUoFnPB79^`}KMWlxa{}Rk;v*d6S=ZOwy~?3v
zWO+*+IGReJO676ull{?PSnw}$2V!~P_lnkIxTs@L5iiK*PJfGw(px&YdLJjJ*}s29
zJW{7+ZQ<f==}q0wv%P78#Cafv^$-$0Pa?oQ(X<|x<{{z-#QZhRiw7RKrdI&ums>3X
z8zHFU(&ZM!&a!ZkY@D-_4x4@%`EE1CV3H&h<c+w6C09Fc4fI~R?@s*WvCZEz^!35k
z8{0r=FRA}MjDn*WS?=oN=Jbi6)vKhPjBuTczMszOY=3r=cWa^P29%wS=8auWb}ZBx
zAe!3z&<8y|YJgQEe>6-CYv=htXT)0&Vl#zRL`5n?b&Qr7lw@J4MQ0o)F-x2H_;`pP
zafT)^j1ek_z5JwurJMMPl@7DQXQ$fb_nBTU!6#fbN4?Z&Z}}s>;r1xgLi1crqHM7X
z(;H-NeS}>(a7HdA$}d2G9q&26)s(>q55-KTzO|#o!NgpvphdFSQ7ZzpTtAW16tXij
zc0`qj=YP_}uz}0hM`+p1Vca~|tj&27q>Rw<jU`Yyux5X59?OBn+wFS_Qd?e0IJ5@l
z-hzDv34)m+lZ&9!cuHl2hK-pv%TBcGNin6X<v(^sSaupaKagB^pc@Sb+6XmX^5d9n
znL_(WlH|0l$#SHmKkQHFQZP{0EI_8tE%>*exE6Arq}RaZf#Mki<h8v3N(UvOt;|NG
zCHCn&F;Dewek`6ECDF>fs3>VnjiGyM)^bRqytChAZET5HqYvluVlJLc!#;*tI>C2|
z$jW3!*FDn={+(oNrVumx*KnK!l(qXXlhU7SKLU<O6H4}QCEOqx8W*!@JQ3(#cX7P4
ze!7jD;>1<051$P#6FxUnLhIWPFKZ%SQVan{o!VQV3GD<Ka}F+LDWB1?)__TA;QjM9
zS0Z);8_vqQ1jAw=urL6Oh2^XBP#hX187>T^M6Qac_5cK;ke?;=YwTGqTe5yR4*ZzH
z56mgjjdE_lu_&w<>OXTD@H0u%jP2vpl*8;4MA}7MttH?trng&B|FHgbfrULxv5)i2
zdM57;;asL=W5Ywa0~S0#m5{yHP}SuL<mM)s>W`_Bt8sI#wnO%)Ix(lRZ}T0*!AZxp
zn)id{tWf*iw(9E&v7-O~3Lm3}2sE`KMZc$&!tjSFOC<b)m7WZ6GBHSRm8E$Ohw9Si
zJDSjD*U>KHK^|S{si_@-Wg67K1+o+k;mH8w7Ouquo#m}=zE948)NeNhEN!t72KZLl
zM=1?nf{uzBZ+YnmU}hu-=e4dULT(fs*MvVpr)W46F={;WN^Qd;Va}0x$9^b^1}Dzg
zmg;Wb4_y4_*+`XI8HvNWy3+}LXTF-@1%Cgyf@PBhU^<MVlvwch=#68d_|$KBbI@vF
z^y=qR&=H0UebJ!4-#f)bOW=8`+s9%bfvD-yhh(c={Cu@>-`ldk4a@$TsWN@Eif%G$
zwD=F)LS+PwH(h<tdQ@;i6=8xCo#@)!r&bT{69YiG9bQO6oT=J~Cpq}ocz|^{3M4<q
zmB`32#kQf3TjYh6N~<Nw<;$Uvz{^UkDapdoApJDS74ubA&gV>5@GI0V1gH2Jwz4Xj
zpUW+LB#8m?-UMUo_77KYO*^uD&)BbO1ZRk<dsK6Y6B=qkTyNgfM_)3c<l^GHZKE^S
zahQ|v2V$;im7sR1sV{&jXaRUQZR`0K_hk)8*_6cUzCap&3<9qj@pp%GI*CfT-FmTE
z?x0=})rj`d9Z>Jk5qy`cl@?2zu|4~;CabT-vyrURaB>Jd_Jl~7mq&&?4y%$W`)t5q
z81s)BDCqpY;QN!`k7yJ@eVYvn*+P%u3r3}73OXA*V^L|WknT(Nk1h+iNAIGcV+svU
zxd28-*VbfPVr!~WJ(e)_Hb$cZYRf2Q`UV2wX@07uiS*s}1x-C_wV$m}Y3ih(O_!P_
z%o~K82m{G{5kBG}xK`xK$v+JB%svm)C}AYy@jSv8>!HbYJ56INOEB_b3deb>Of2PO
z$%#?BCM|PT>$)nqO(fM#7PZrkyjJ?Nsq>|1{fl+_IPUN59)hCfRSbSJV@n>ntu8Vm
z=HDFOHwp~rA2TXdG0u#WMRyol6y7aO$dabe>OVx3C1rQ=%?;E~M52E8ne=|Z{sE@x
zMk?)PVkd1+XPE!})n+B(L8OCDCLEE+3On>rB#|T`H;NSg1Abn*C-Fv=#cUXQk8Gx=
zO6d?1Cn5c8woNm2%o;c#e7Z%E93=|Mr4GDq^640-|25uN?aZ-2CMu++fl(Ha@)0h@
z+3}aG+e-ggs1nK2gQs*POz%L`B0`2cHRrXW?eD>=4Y54{OIjyPjzZMSjk<CgnsjHG
zKhbw?8V9~Qw<=ueIiPse&Z!%4$p>6Xos}oc{uR|m?1v8ZhMO35C`a=pb>4YJLn3(_
zeQvV#ym=}N%t6dyNk`*H4kb8^jIbwZFJ>X=;$x1bvS9JFZI5#$86|akF{!C>;c~=F
z6~sfGk$_bCI)y(}i*=c>a&?JXJ1E*e9vn-HF;`b8H_V-WQt-G0&c@?o@5`Q^l2dY{
zK!!3T7WqvKevM4f1YR9AgT0MgVepC3&D_=1t>no;rzhO4?dL<z9x7Pg1z?wJa*|_E
zF9Rh(J2)+xQhrxU=hE~Wqwl`roX_ZaG2zG3ghoRTrZDX=e>~>GHPYaL!^MA1f8K$+
zy2e}oz|y^stw!|za`j+AGc_iZ*P?JAdmwTqCj+!Opx!Z{(=9ru{m}V44Dl<SSO&;%
ztxcZKa|x<w;y=QtY)lqZzcN_^6}H7!CKVI6SJ<6Lt_|FlRy&1@0M1Ei52=0EXu+Do
z2)L0Bo=WNDdS4&ncPQTBN9L&`m%an`Z(5h%Oqe`YF+ptcB^u~aI&NM;&XX>Fl0Qr3
z*dejJ*y$c!kTahw<VJ7ynPRv|w7YStvmgJ3ocM-i&}>UDHMUUDoQHRF)EoX}KVZU(
zRh44{ixF-hI0wTV22_yyKhMq@U+1rzp7+r@4*F6QtoGC>kOXZqyl6Y;0&F707$t%E
zS9lH9z-9ajNXDr*IZ6HH#W0_LlrLwCuSj}eiTKFqS!(!}QsW1~N6JdvxDQl|UGuY}
z!UpLO6XJ8<Q%tQW(jl!;bG2TYprt}7eZKU2rq+N=X5sc_rHwefzL-+^%y-F_RQ=L;
zEB<^FGyLfg3Kj8glPZDa)T-yDEt8{(irmgw^+c>M0z)m?`G4Zqus2_tK?0A9NjP}n
z`@1z$d*~69JNr?&QC0X4sBe@v1$(YCQ>U4tM3TF_ktDJF48A(D!DGI~<r++CbvSs3
z%z=NzFiWdNl`QB=y?-^>c!Z31?hkCk#1eJeD4$@4g-0vqo08@Y)E@XXt$LXuZ%J19
zD=l+vfz636=-9vOh9BL>&lm(W+<hPG_>>@tt{>(#-7n#F>(=dgAG^`slDi>d!gwln
zONr6br^-VVR7+<9#W@LKg-`OzXT05#leh*N@%A#vX^X_~$=_y!hUbaKLr^hi!EO62
z3O~yqeG$zD_%H>DMAD@OYmL?KqY#PP@v?v)WlWO}cg=+a=3jVCX4#(fS+r(LcMw2W
zzgbW8RZ`z}AD2^4i@!-+v&I^*vO6+bnJON?lh*+T4*E7MF53ofq!S(*D)qedYdwx_
zJae_dYUr9Aj#zXn|8MPynFYtzx3ymk*>)C6G>CbI`vqg#6NBKag62FC(;q)6$;?Xv
z=2X$32CLtx$bfPQnRWQ%s@tsN3t;>bfH2=8wg2mFH7tiJQyX&IBSm_z%)59sId}U*
zK1iqMwyw|9h_?^HfJK216h}5nkasB2LKL}N4cf*(=>k0`$vN|{zXr+OJ%8J~zAA3t
z+bLqV8&x@J^qzT`U=t0c$$s!Tx(|yVoxf~$z&7IdunWvZ{rm>0_CjesOyg+cpzFm`
z)Imqps7>xMbf4ty=ZHH}ty@Z8f;7zPDW^VAXx>ej+xf@<xBdZaC!YV<V}f%e5~S=a
zkR-4bAfS2iH=#x*B5=I5eBk|$tvv;L=9Gb+pUL%|AUpGj2*!StgcO7C|E)`dX#<fr
zB3x{&YJdSRP5}9fuh4O5@z}>^w5!pt3SpA4WtztND=c>Mzb_1GkSc<)^8^b<j!7b*
zj?vbR{FOcb1*ZP}7dIWerfnSM^o;-e-GBaw+8?YP<-b4q-!}?UlD>hT{)>qCTY(}3
zo%^Drdz3|M;j*II;8jotJOm-JAX5O*<!`3IzxN|g2$5d|($O!ex6^Hw20Xl7IJ?*;
z5l=y4>l3h$D%5Tz{|VIl%jd~_hRdVO68$1<vGqNY?j=$PeU1oqOgCZ`ieRjcj@$pu
z&c!?We9gx@+`1vNlGq*#4=xvUrG_W7Tq03HTnYQb{U+_gfM~hD*@6;imuhz;YOvta
zJ2Yi&SY*!s1+M>4uw=JZ(Pc~EU=8L15L3Tp#8FO6RbQHXwF4CeZVKQB87{8vJgA4M
zATV$Bra(T57%PN52(-vKm@0pp92pr2{ALX`4&ER?t!f)o*dR&B;j8}A0m$7~8fXnd
znAgXN2fR#!<1GIuERi25mm-h8Gx8Rdma;Q4<`)*46|1BPzk8$Rthn_W_+mC(=@+){
zM%~u4qKV(UQ&CVTsHyhhgh#y;?N6+FAs7TAK<MD?fF@do3O1ZLZ=Unu$jd@*l_kfx
zUQ-?sIk>w=q9x{}-Cj|ci}3m(pf=uL?}9XMI`S%T32|^n6&5`J2vbb~r#|3Us(Xu!
zaq>_QL?!{*cS<jad$>t&h&9OOEbpjF1rY+Etf%&7R!Uh}F_SS)MBdQW)+T&2JX-wi
zTMU!u!JKz@%;UM<p`q8H08vg+_(UJ|h^uW>d~6*Y6c8L4nV8_+Yn<lyGzbU?KqP!(
zoyCgM;=;=ZK<AEg-|{|OMOlnKd2ilx@ea_-O3nfcUgiMen@iUs1QB0LO7v(ZEo|X?
zI6?Gu`L+=Z|7HPD!O!J*jn|=ehy?)-ti}Ff$UI-T<U+fCu=cm9U8j9q`yof07ZT88
zSX=1<r3SD)w(8ERK%DFNP_QTr8azt$&HH47Q~J(#Cr3xX<wT~Zq$my)Y84e{yOAcI
zfK>lqz^5;3HVzWdRn2Qc0N^~)F96z6_}^R@*1rnNp{zmCPX`<3%Sog9cK`uTckLu*
z)2qrHxr`q$jCQGxE;gt;0SeoSgyjbUi+*km9{X)IKj$szTfJMvGn#+1oe4=MF+f~F
zrk3DAyb^MRWEGkcrI>%`8{(f7=iOeiT&C@@=y#Juh=4rYe8yythbg-gHjhE$>bTkp
z!5u{2%FWB8K}DFAdGS`?{r+~w^B3ETZ&aEg2*?jP|MdL<`Z%=lNU9y5B5hLtsM8BT
zC*AGnw2;`vy&vPyhZb88rGuUbU+_G~)#jxdN=9FO^IL9vmrFSj5%lJwpf`uk<io=G
z>DirgR>pP@KTfC|c-D?<?J9H;v!4Y{eFI)-8f{zAFyMhEA4jwQhKeeBz4axFEKf8o
zEzKW<KKM4K;hfDpd|j+%Y_t7U5fGkWdla1mutsWXs{D0W0>7GBuY+%=3BUZ8&SM0D
z`eRhX23?R|V!(jV+t&wlMfMaz+c}>Af-R#8QzyeJd{r=9*Zq9is2z0hq(MqmFYp%<
z{&6ci4up465>;`XR8z#yURs~-kvcanZ(9IbAw5|wK~P6pC`RFnr8`x4@<6AQNVyql
z2y{BU-^ds`liUew4}vq}P*EM70aCufe-|Gi*MyU$`m6E8*Tt2CW;&Gx9rj`%Z+|v3
zz~~GJxYK|m+p7fDKVX!g)B#GFQjsQ@a5=UA!U^69L;>Wy@09UO(Qh0R+^-s)v&wa#
zE<)JV`YR|0<q|FSEv3Zk8D>~avYBG5-4ZOw>P|9K+wnb|)oyW@CL~XJ091zk^T0iq
zMeE2jqA~q)7_$F%0!2IBr40?Fr9k1wo!$cbD=;22<RV)}m`^v^_ihQNG;Lo>Q|_p@
zsEVD(*#gq&MKGPEXie_>!!4z`65vzgy2_vOj&Q2-oQHhS`0^B|-^(A!Y`Z;wSQ&aQ
za$~soH>i5|CM6{WJ@`Iow1cw%<zjT0CTPuil35;t740xn)gwLyl3PHC(~P1%YW49H
zzuF(V9o&iEQ&2<e^gaF~yrB|DjTs7S4;F=fyeG1>Xa1?O_WT5Jl-(`B`y1N_x?3Ci
zpO5EKl-m(h0Jd}~@_a0~j<#xQXIyQd+lhepJ3+GN&R9WKI=Y7H`yD_h%<&2WChbXe
z2iu;v)X`v8^en~Wfv%F{I6&*-(zJ=48_Wy}ZFRdpYe>IRgG^mOLEAI^4HIU(LS+oo
z9l@)Df@+kTTJ(SRxFtOBIE(9|{tc!(mT4W=oN$7EBY}^k;f>oI<;P^LeG(^cGM82L
z{j(3~^On@<B~qd@F~&(o(%<<D`66kGuT*3*jj0TGPrau-1k1CjL%U-{T$9jd_A^Uh
z595Xc^ZSe><rb;=HYm!U2x;&Dw>pD;{0>T8A&2Pq%;YW|f~gp}fovklxHXd}ff3UG
z#J}W4`5Pr2S-EB0xoZ0au0*&QwHrn00o1N-Flwd;9}mO5Oe*;%F~W28qx+6w{yLfi
zV5%l~#lXy8dpz!813h_pUCPIoAJEC?IJ<hp`*>iZp`hz?Z<l$rKdtaPwJ-WayjF>8
zLlYE}U4y1AQ1NfADz=JDN9=sTj;Cloil6@-AAK-B&4whz^bm3CzXA(CONRaz9)h+e
z5kGX0%o2r|<1vbCN+Q_nQLQt5YuTTD4psp0&GFRjjD6YTqI?UML$LlmgD<h4X#^<|
zxvidlE&N<yaA0{1vxyLWi>q6Zjc{gTa+^9fx&fRK=b~+N&u*H2E%2OgwP*SU*7a=|
z;To7e{=NVLL|XDPK>kJ&$)E!Dr%K;Gt8xz(gg&zLHDN19gd4&@l26`!3*1PU78TSJ
zBd1lMS!qfMe65&6*s~i}%UwEX)O;IQ!#9kO**teA*le1Z|3OoLa)ma~zk!!q3DHjq
zuFLr$7JPb!L^KB`yf(Xy@hz{QY~xYe1Ns46@06bzz&GNCN53ro6c>=a1Zk1|l?x^;
zQ~ArK`&cDU&6s_ApjvCZxUnQUa3LS{8MQ91vx7=TXkK`NR%g(5PNd+Pq9!r6p8UO^
zHR;G6LzN{0ZL<dNPljK5_9t>(;OI-%=)?DmKo(f1^r5XArXqZOqYHfRz?LcoM6jJ=
zH=y0a+{->T){we&bQ95w?(<AxGDSiTBL@o8a`xIKhzQY1$n-;fDe^rE^H=}shyMpg
zFNuH_SGhSc7xY$8Qv?*8E(b3RvPihDCOv|V52Fm}UTp*c77yu#j@qOtZ;LGY(I>i=
zg;&D&bwxBE-*zLv<6P~a;Z}ECY@Qdl$EvL6g9gS+hZwsJ@SRWjI*6dLQY|5{v`^OR
z#+K|o{2kh4AN$<AitgvkE1Q?xDORNlS%{n>Ulk-BF=Mk)a#&N`2UZU#OyVClN?}E;
zV7!U?MITnBT>Ybds<OaqUh=k1#8?D}Kqk`_?QD0r%s(Qze=U9JBAdMN>$&D%K)MYm
zt}ut>JfBh(p!MsE4E0OA-<h;=Hv3ja$|qJp)NcKWp^Z2pb0B=piI7g6hdN%`Ch9ca
zzm1Xc$vf$RzyKG{`(5MTW<*?$d!3qOl>m+__eYQBN;mbjMNfTdp<$gBl;MA&d)wNr
zvWtFERklb+8mTO6^ZpV>`Y;HFaP_>mn@u;AdgL|9|3J?rTFPm%l>E6HXkU~+R|di&
zJPr<^vucpUL9~5(CV`y<?s+}<y;A&|n7JUxBdkhy?o~>w{n|B4#C;*7sq2{ad!$hD
zpN}~kZ^F7fORmt){3iAcXyEruvtdmO^gw*!WVk$r43z>}|4@c1$nj)whUIu(vB(7t
za~We!1_G=tY3aqJxBWpfTXpc|%$DU0)pFY!*}-JlB1j?{`YxY3r^w3NwVzxX8Njoi
zNouA*sGI`ZnE5ZWr<0UK`R`T9x^q7s3i6=M`TxHARicBpEsx9L*24-*2uV%K6*G$_
zZ<E1+!IPlJ#Ba`i^reL+UzBtNC0_?l)yHkSw1GJBKo3cAG(aMzRLFKgx;n>S-V1oK
zRnzzUka5KLFSAh!4ptlHy&E^cyI;%?JqI4(a?5X(ep9lFiM89+ZH;5!q5<X`C2unH
zU5sBWcpGZ+t6p}`*bo%&v}i$Nv`Kj|X*~8JVz(6ep@zKZ4XCK27*G29_Qsxy&3yUT
z-5yLiHQMhMcHekVzZ)|E;<(ns7}B@u`YhGpBk5B`y(`E=t+q^Q?CUJW8K3ia;A%UL
zb70z?tpT&Pt*n&k%Y;sY6}}%tQP2E9Xxx#rT;k8(vvyAz_ke)rx`#^BmMKV}QS^Sf
zYzHTvfYaU7UMO_X1qiew;jB=(y^?}l3R7BbKgN5%mmO&cpP5_7c!N_@o8~=H>*w8f
z1X3RK9Q*YVPM^1qX0bm7I#7p&hO5s691X^OP<H$J<uMR!ESU{NYAR!&#~Wobvk(Q3
z^Ro<jcTR!PR-J*UE6vpi2WRjA5r&Y_)VQ?ITm$9x^vg>~X&-=%x(YQ$ABn|(`h<5T
zHG?PR*g>)VMICCxqnB;yDm9cUgm-TLTs5WZ=T}C@l>n|;r$?Q;5tV1#c^P1PLpS5_
zOSc%s72x<_fBKjq9&K%d@O~B~uqDK-(g>jFKeY?_hV-goJYMs}3VwF@0t(+dhpIj+
zk+o`-3rNctg2=jtyvyWxrzqS0XVVrs7p_*p$W~o^LRBU7o9tktR7CvHQuyihtVij;
z-6cBW1D|A?_ZfeQ2z-s^MLl5Vl)tzaCWM{ws5M?E+BlZSt6LOEg@|bQdOllLNV|Dq
zG2F>IRazJAfJ>&>(5<2lVSYRmi7!XJQu>h2SiQT`^%?$IcP!1mxBObQM@VatsAVrc
zDbfByg=NR%(>7I@<|nzg&TVt10Y9dAt;`I+hWlHj_UpUzNmrQ^eZhS7lQ_^(Of{}r
zy@XL!>1nJUJlWZ$S^5)2iL+tp14dNm+u0-6PY%<_m+{^a%hM{6CRRwc?dUJPK9gQK
zP(0lETH{~%?;*XJ4)B1pUt>*Sdnz^xA}WQftM|jFm7q`$^s;)+^*AsrM-0?72EVN@
zht1}Gly(6Cw0c9I`jn8;9Qk05lYz9(w4JtM1(9BWi(8C}_1Mt7&iZ+}BK6lKq~rEb
zH>)l~8Q)BSanW~v>+C@T=_>tn-i-!}taE!w(he^>`358<C38>ezh^(73sji?ac=?L
zn<<Y>^+=oT|1f2RS2Az{504LR(w9VAHIZAZ%!H;hdj7&^(JzC^zu-?yVjl=Ih~za^
z_|4vzoStktPuJ8b$Z2kZ+xah|43;(=WP{!Mdz)FyQ=WhLBSu72!zD!+JT!c;ii^}~
z{sOABcL3t;_UN#vA^VoJNL6GDDh<1jmiK#ZEkvZGaqX4EnTnX}+<y@0c#V;#8@<V&
zX5YQ8-#0SAqmSx%iaU#HDiX{@#ZBpVBqhW8e41wCxc3D2JCxz7a@XJ~&+7TpS<+AP
zZ4UY~<ZaMSLhO9NY8Z!LQ4VIlIIwfjfjh-VPqm^~n(;7u&|1D=%dFcFhQ~0|z)7n)
zyVi{9u2$(-3~o0@63A?~9*fX4C~Kz#kY7twZ}r^Hhj`8le6t2(QR)~`P$zt{F5%OF
z0R;ea+VceEtBzwdqre+0uy?pt!argPeT!plmG+ztaNgm8`Z^z|)k^FqKM*trK9T0d
z4U4Kw!0(d5sl-TByupvBsT@EN0UDppXKI6Z;vm{+ztgH}5gdepS<=_#ft5Xb_B^7m
zTf}~EI<^yl+OqZrK}4SZ{^}kcy<>G+8Jg&Y42`~`SMP>fE*ZUOiVj?`YNZ^}q6qfz
z?}KN@W)Pgg%s{?|FUQDkYa_t-YK>8el<e9!pP{r#krm+u-3QShxl}PN_KvRJuD0Gi
zGxJyL1eORQK)db?x%th2CH{-@aB&o$rcf2kFe1QNQd=X63jSzwHE<-)W4U_=aDIHy
zMI`VcXzIxC*!|eUbh7-@q|$oGqbW`_!lT3;!EyMp+D8y;h47lvjc9+zNdoxRLgrIn
z@JfPRZJ%E!I~ivgk%tFKbgEn3uY^LXPeZdpHPK=c1ZJ8IRk{n(h^T+0Rr0{7RA1RU
z<U2=IRMC9-PT<_)H+tE{yxYeomPlVHWy=w=E_x8HR2eq*0~J(cgW6Mte0rzagW3g?
z#Hzf*4F`hbQuzJylrQh5pkL9cheHtwosH%q%V;v#ZfdIR7JMv*V#)PA9L5{9K$=yo
z$n~FYLSrf*?Ak-t?r(1O60W3bcEEf|r5939ybNiZ=ds%g2F%smPs7O4SSG_wb5(qD
zCL^<IVli2Y!OV|!vGtQCUv;FKR%trl7<v8Dc=ENq<F_H)?tvs}i=qm&^4h0#lxvjB
z&4Qv)aGee?W=OUmJJot1d0mzs4=ZwU++$D#GBf)rDrz=9372DE{btLtQg>2ZF~}-k
zt+7@KWyy)KNdANF%AZ!33x-T8&H#@3Li|Q_$m{KXow8s#&Trl&cJ^IWiMu$*_Jizi
z#R-NUNnKKo^=~+##2YR=pZ(;lW-I;-2tT2dB;2TJ!`=mMYZR)sVVER0OrQ5&Yk~|`
zCTDV?Efu=+5sXaE=k}oqADE<??jjE->pMMRwF~w0ct^<RrHz)4Sy(+cXwSClQ_ZmD
zLqf`@n9uoawpM!DC1UB-uZEHL)5Hv%^hp)_DE^^V9$4rkA|9-y>GPl5O~F&`JS{$e
zY@%7tV!4fNy$6e!^o1f(S1G))<Zy(Ss1z!koIoTD^$P&Rfx+<*y~Rq?e0-x>E8T~L
zDa{JE6rA#4^1k$_(aQji`Ymd1hq~xl?lL%0+o}P!UxtBy-tSb&r&{l}b1DiemYZM#
zl%O0~Smd8(O_Fh_XE(q1=h6JM*3*8wDxf}&fkRV7Y%4V_N2i`zc@s)7$vmN6tmo(`
zV&~r3GH+a>QbayG<65t5PoCDI;yN}l)8a05llMFU${5N>UDS<fit*S~feP&uL&8fm
z-4}$ux+S<BUd<7e&2EZr3Jslz7aaASrf!~5WHkxXkj_G_Z|V*0X-<23*x|)YZ#wW)
zrz*>m7aI2}`pjesfx7y`!$1NhpOE52T@m%V^QL6g32wth*76#^TU$2GiT*-*o_RX-
zW#0XQS{<=p2dE{Ga6`WDHvqu0yQ@ShN58@^+Wpe=T<5K#O;)wQ_4uduow~t7J>?<0
zi}7dmTRPA5G)k0^KKT$GgBr46ktY8mIMj8Y7!I&!5xdv$&ss8PdFvT(Hd(WkENLXz
z3wq>F>Eq2eGwIrHk*mOPh95ok9T#k)?7B|gP^aJ(H!)>LyvA4zCb=6GMJ8^miLLB-
z2D~5-v^c`g2V&oTNshvMe)ed6t~V>?TyW#^BS=IM0*{Ct`nYvbiOWS0w2nhVk0j?*
zIV=io^cw%5h1eR)s+;gdO-|9&dN8%%(euY<d-7VY2@nP%MrP{qbOl1j`k<n~h3YTW
z&B@=iUhU7C_Yf$uX3518z!e$(s0lxCXs)R))Kn_3X;U=JULOq)(Pt^}b3Fcvs(pwu
zl5OTbYvozem|J!pT6R%f(fV9QPog-zHm!(vR@A)np_oH4-2`ajT2h^@ru(?aX9eA6
zyE=U=YR<ElXu7cR<(WJ*+ldV_S@!rW#$(Jy(_B*(AEBtx=%a%h6c@C!(5ox)&C*?&
zFj`vk`D%Y|k5offOEQ93tz-a?i%QFy`QlfvtIh=9*npm};_J6$!W+ZE;b`V4RSr#1
z+h4gG(gSFd{qInzuvOq8OD+qZvQd)4h#vck)li?3ny=O4_KhJql{%7-7x^X)zL>Cf
z7H3AOl*eRSzH<rh2oDd}d+=3r2xu{~1fOM0vHH|c)ffqTcsmlhgWj!72T|ntzAQhB
z{Il8RFXGFqvMoWoLdpxF{Ga^o5@PPG?cKsnLQfh%9$pn7;;T=lCu3NOsU{}A-T*!3
zTFILiYylp0G<YO$e6kgsYs_>#rLcHdkSEAq+Ou8n#3rVjPV7&NRY8}+jc0YRLQpRe
zeLOk(4&%xcmh4sQw3kcoTVgU2%DCOn-7Dk84q5siLr|%PbK&4!Qe^NY;ers6_zxFu
zZ$~z98x#8=9N6XyBa@!W_%|=JDLRR5etcNZo+w7DS3ea=FA%pkt6M$q$j_?oa`I2G
z`B^RAtVGTn7bVAfLWCDSbRJgxt(r_ZeRp(5_XJ1&g~|Q(mHsX?U0<lAv9@u&1vl-3
zt&PLfi^^qHmV3>nGT~*rI&65vCoGb1WHb6htvHf!;0Xnn#ESi*#(w_wfUi7W%U$@5
z?PQUo?*~zn3?#$62rx&YV2+mN@qB{ez@32Rg{V|V>hSNHwW=Mw&(-liU`uA+K@eN_
z1y<3)^R6m+V`9s(W%RVEN_}&po~^7jprp{l%`f3O`kxQ``-y80u;CaM<4ABMThY!A
ze;RLRzsaUB^tE9aVps_9b3eE9j7R+U!@wtQ<5R(@<ncQ`#wH9J7m=9qbTMxKevMVA
zL+K!@HeK`bB($>1yT|*>;P3OfoA&Hh!GCWJ9uYzh?)Dq$6Hn}Jv>;FZ7PrWIvOCRj
zEdrwW$g)R^dA=DdZ7X6Jz8}(;U;pp7u;nu(jjofk=@79|%Uj<kpYvajWP3EepzAPs
zNdDh_P+fuh?h*JZ3+@}=#=)sd$#Ip~JDv<SsQ>)X2$dvUDzZhgB-Ja(*QZ|%Pa3>J
zO31&x%HPkd89T;(!12)bzn=~|Lpyrta$RhT7Nq%Lue4x$x=5!`-?lQ~N4?I6hKkZG
zr->2WU5^s6SN&ON1bCg8kBS}$>@SS@<<||6F#egCzyC-wBccXsWIanmwUEp#DA*Rj
zlJM(utXbdOw9fQa{nXTuu<qGANqbbCXHewwYdA~#%A3uwu&6Ahde2)`>f=9?4EtL-
zT7h)Kw(GfEh|d|mSsbq@lM3vJxGQ()p5C6HQu^ClX*p_voxmth^l1x56b9wq3%=8m
zMa{#a50$v#kN<Z`F|XjQ0zauddxvTvYjUvoyY&6J|46NC(soeZxO>CI-DG13Xbi=2
zkY`v1-JjkNQox0c9~CP^y6=5yi4p1A&%zL?0}6j>xS*T|oCv9}o-@l(AwU2fpnLiq
z#qP!8GwV#0pUIkAMcyXai#Gggu+PrIel%w<-`YidOMy%lbMQFE9ZZ+5XWtelL><vc
zLiEm_p>dn>Y0r~ClSO3+KI{zzT%O_^5Ae~9;Af@k@Xio|f{{pec8S<uEV1k82_3}z
z^IRt3K6)<9yJR0ZMB=KQ>taI$kH}38<{HO?<SA7WB-{&&m$#PW^F?Pnd&WP%vQ3mI
z>i6=RG^+APPkUIvYEJeeNF5FM9g$xjV}rG+UJkffsMxqZ5`;bZl2%B(Xk`6@8ck-`
z0+kY^RUaf}!L0JMseD1DRbG0lRRj#mJ4Gr&y}vA9hW>do!4KeDBeNmXUk`MvLZYa#
z5#f#A;s-ZKQew*+WLEbWtw#$U)OPHygVyh`2lOL@iCaloNdTX>7X6D)=?W8t4g-n|
zUSbK41100Z3u=9Zk#n<5m_Og-+q3dR9V4!+Qq1Qf(kEW&@9&SWW<GlH+UPEm4%x`K
zl6~M1MSHGDfWlVC?#UwWqGz%+l?`kV8)(i@f;>?BeOIG4HmnRe{W?O&LlzN=&%WW%
zobj8i@9x!YrcHj>VGRF!7vV?_%z{6n)WpCr3>U%;!PPu#M?-wW@y)g!d3P;mRMoRd
zY~N-k%{@>4?`rhtF~hb3s}$#=e`oqR<Wrs!69)&SglSusif|8xtnE6Zv9+NUBrLP3
zj?3mwAuvwye{U!^ODpbH|MjRagdF!#z?`e`)rNq-*4p~|K<%}iu@xl5N1J&7%jU;H
z&NW^Gob{hI0$dC*Y}|!NJk!+HE^KGfDLr!+A-Do^deGqHxis)nUGQ~*bwBu7Ae^9P
zP0DxbVa%Y%U*FEECujeCyE^dII`j<<OPqBIOG^j8Hic=f6&c$50D=f`is2zmY#(Le
zf{swJ;X*czct$)P@bdFFA9s?1WO&(zvdGmpAn-;@ORHcB=pa=DmxBdM<vnrsKNV<o
zB_ke;Z6`{HjLg@Ui5X38AuNL>AG=!^{%LyhH5)7I9>|}Nk_y7*4+adc9J%7lQ&JKV
zObSu2rB?Xr-Q*85>`ACpF|%Oe>il058-^glaygQCtc}3Q5XSj2JOvsLJ9~TJ@29-!
z1<p9@y{YoTUJ&pDl&-9LRq{W=BO=}s!xcGah^^Nj{=PbRDBHq*VKu3?sEQu~d$2vw
z7%#`r*MJFc*SRV3?AB$<mv(JJ)5YJvDgBX|&@0&kq$uhbT`-+sR(xEL@Y8_p@XO93
z%(4cAz#@l@8m}F@Mh)*gu7G_%jJ3|>`x|f>62Ro<@ocm&e%Sdt%>xvM&3d%S0Rv7R
zjl1$GegAGv6xb^Y_Nup#<je8AoE({~vKuxRl-<3h^<)eXY?r{St~98(g=zLu2%^i-
z%03KRDO{2ffkkOq57yoqu)%Jgi7sX!EB|07H<w<~o-VQPp~;g6S%;#(jH@6*H2$L`
z4%MaN7CG)DPho4yR&8MR;s>3Nb0qj7EL1vaKJ-F$d>W(>R77K{QsR;&thW@@F|UFE
z#3koeCvo{5v|dhs2a`$5MLyyJ9VaeHcR+`PHY>L4dcbz?7lI7pVZ(Gb_;2o0C6cgL
z4ntp><zPI02&|IW*Y%W-aAD)ikN)DUD3C{kB|~3Y<Mmn1?Q&H41sB>}GVT@XS`Mf~
zR2H<6Ka&MLV6T<LLY;RT5*rv8C_Dyf(FN(N<opgVQmgHI&X&Hvt&WQSd^la1=P6O*
zpbObY-Ze8xkcJhtpk(kud{YNvh)48n_WPc~kqs&5JOl#(-lWvJ&kt$oAV4UYo_=3l
z$Y*`?DdRS$X`u0Xr^q8L_jQvh&Mt>xAJ&G%gBcN}UYfrzFH`2x^Q7-{`_zd|;k>jc
zU~K|LN~(dXU7u7Co~r22s2vco7XTW8&zYv6DWBG3l(PeZOvk9N5T+={RQS6P#1ugm
z_7f2JWZjjV^~`9tB<Jyk-%65zWpgx832&N>6F8R+;qF27uXOZ7Z#T1?&4Cmh9i2Rg
zp5XpGydtoTPn$HjfM{thyCwYpQ+}Y*DuVY|_v6^7O2})FIo)VJ8bAT!l|uy>Wc6C~
zCRhkHO@Neg=Gn~WG2hPyK7fK|SN><93~-0bBIju&;K_8fw8nu@6Jd(09#m2Vc%Y<7
zW8>R=6L`NdQDMC(pAJ~h@gkiY?k^OWl;XDl$FEPj{=pHDg~7nKj}e%_Zb)*j$Nhh5
z6iKQ&@S66V=Rghc62*L>`bB>0pLI4iH|>LGFm^#)apfdUwa^kUzA`=3=29kaAkS)o
zKLTzP5STP;B?gMoKXdtaLNU>?;XJWp`rLFSi=cCM)+HAAD?}|`0H>S{1XSTXEWmm2
zdo&RJKCAa${SiUbV1NGMYqx^c|68g3Z>ZivV5g{DM@JK%u-FB>OJF-)XsX`QY5D)^
z`tEqD`}hAtblW6bMoJl>VU>)Am8@i)lP!BCqmHafLm3sy9@!it$97OgL$-tLMA>9!
zf3HK-eSdzx`;YtKaeBXB@7K7l>vdhvYpviRZsZ%Q+l?E!jNL^yUekB6t<+2O&l{%V
z-hkTwuLUx~0@E~-8m`ebP1QqNicPaaAM5H$*JkTNr&?1Q3E8CK`T6<&zGk!w>r4F|
zoJjADxme7rzM{D5yQGwNY-5Z7YK@49=+wT!w7t;G{i)DS8fwLtIJBC8WHbRma{xea
zp&LZ1Eq$&X28(+S;hh1vqvAZ<nZ7z<DT^{Rbg;(U4O~YK5V~^^N&!Q+81vzysu79R
zW<k;x506H>Jjb!8m6vb0SFA=~pAFc)$r{M4euk{iO1wJMQpYABD0uIS1R4xMetJ0i
zeaG+?g_RZS-4(^u87m9pOMW7E-UcXoKih1TU4J391_gsVpk+YG1tU}N7z<ktRzD`R
z1xb*9(zCw;>Lg*r+usmVgc_7h3Lo^{{+tfw$d}l$v9U}};%G&L?*X8&hFtbfPS3ds
z!Q#+<rcT=hYK4w7cTQ<M=GRJ&0(XDd>tfUTpElZgg+3~P`28f5r3Vk^3WU=wz@M6r
zG90C(>^hIDk{LO@CFSMi{nWe~*7E>0<xG$@@LltK#57UEShwPjeIJxzE2GLVR08LS
zq#vz9y0R`&PU*(Y*wr3zLyXcG3^qtjWASyLn)|0Ho`coPx@?-*(sD&RRhP)f?aOsY
z2f@4iga954y|hXX6j{Em7Aw>1JdgegPSP)8=e9ZOH_h$}2vZ``SmcYdmJJ6a_SW}|
z;T5NvBAaR(mijyhiQ__A@zapbooetJcfHJd61@PSg>w)NRC+y-<;3|@RblOWYNb6E
zu~?oV0MOAQhqsSzYeNylA3>gF`ltTmo5`e?XAy8$9rvpv;5<=!yHIJ>hx-LJExd%n
z&Gw^E6ZJ>x&6*Mot!fDNf$SVx%yUS)T7$sEtGA`v7GDv1tuS(qYj8B(wc&_?up+lG
z$1OQ(OtJP8=Wa7TZqT31De)#jceFObAV?&t!n8ZA>%mHS4R7q}+mOo_<bK_4x<5Ok
zuPY}j-J#IyW><FN`?Pxx3}<t5ulEM7oxxuc7v;R;(fVL{ydx{EFW0OwrgveLQp#Ot
z_~;_nt>wqxJeU}ZDLN*4es+ju^q9m>^@<$uG}XE}7aJyW+j{s-dRK4s+^oQAsJHFd
zvO(ZR(l?411PSqu9}K95)rQn{Vl>YZ6ou_TUZ2FrORU>O3JM_?nf)c(%XN?<7#6*3
zsWSliLO@jKBOW1E^nJar^A~8P6S2vGjO#Qk$171+)EWAns;CR*k)cmHrMo=BM7K0u
z1SzMt?FPiFlyR`jIyKpQuk~)+`$y<z>l9l}p)f+nZY}93m$vA*@Rw_)tI?|LF<#Tr
zn`MJtW-92SHAm^q`LYGup7;#=z7nwtgJ0hpMIuj>lvP|WuQ2Q0bJNI`_X!1s%<Z+2
z(#^BuBGV%7;p4XH(~?U(?kwS{XV&c0HiI^581$bKtTt{55<TK*_N8Z<htC;99}mdi
z&X)c8Se@@mz|ocbBmdAG_*J=w)+%=%Yu$P$T7!Gi8R`kIL^_u1-^kXv6vQFbK3saA
zcmQI=wb@PAL3FU6G=Efgbc;WO8KIduW~1RrW6?;*%Go$e5f!VfU$%`h!vS8saRt+9
ztFr2w4jtv5!awFs-WOv<a(~EGxo^(*_|_^Im2;#oaIFuk_l@W-uY1gY9&h8fxqV$+
zLSl0ax_W%^Tp9(&?rUiX#Drcx7Q2Kv`n^^g)VMQ57Cu^*D)nEE##t@Gg<$Jgv0!=_
zZh{Q-(v-c(KMjqI?%|iNfx8<xtk?}VYk_XnHE_lIF&n0mw)9<Y+2ZlH3`J{+FC?b2
zma9q?`|hX6*F9T5a7z@i(YNWXb}Cm#?gdUaF!FdJc0$+N+jXH~@>5%y(Z=MkR0>CU
zN;G=ygVCC6!%Uy2I;W(SabwGZn3R!GDRS<kTXAx<?qrY5_nE^v6n7j36Mux2mEP<(
zl**`S40GxiCUZaCchS(WFXU#!^0;7jrct4qcg*THF7@^5qcUDy)?L-jsAFHT?Q&vb
zV!U^5r;D_C_)Hp5r8zuW*(b*>30KG4V&?h7iX?W9KT_{K-nWjtozS1^V9o<_i-_UX
zjoIq@7(^$!6BAe0(GcUdH1T87NiHaibztS*KR<vtH%A85br*$n%Qwn@eL7W9`20zR
zxc>Qm^x<Dgkq%2T`K9Y2CF-)X<H;8uW<GsqLFu#b>Zhz)L|IZ+JM&V^>9wMSyTW<8
z$F!GyAFd7v1YN%441q>k$)C}SUnIUa;Io)S8pG#48Eu?Ie}1J5!u`(mq%*9ymDf(A
zX>*8;C*AgK@`hXl4!j}&y3iFv0mbe6+Lw;J$901@g_^^GDCh3ima6P$M!BB0bIqOk
zDqiKY3ukjQE<GucVyhnq{Ou(Jr#^4uh&#$)@{K(TD~HT0?dnM9rISWJ=CN@%F+ZRC
zlU8J9zG^P8%$<9YD#sw}y-)te7wshKk}zTY1X<kbe7MWX=zcZn{116^VS-HR=ey-<
zwT@|BPp9#QEA14Xs7oH<I}he!N`Dm7@5`I}AJSTyR7uZHGV05v!sDf@&C%Rp4qqk|
zJmS(uKZVnlTyQj9ZWr4B53P2?gNU)ssMW3vu1puL@;+1hWXCg;$E4>oln1<Ocm>Xu
zn>t0l)F7;!EC_VhTT^0(wsdRIK^Z7|oW@3VO8e}F?32%w>ub~_#?vvb`4a0JxdyBI
zqa^Ve&yP^qd{Mq(USYQIzB_=$+MdXBmOsUc92?qfH<x<COiiVheuO2!nSf1wcm(4s
zbXqg~zG0kI<<y51I9h&suHK##S?`pbj#r@-8pq6=QU197x_^|5J;kZSy>O~OR@(M$
zt!tK(EqUaE{iI#n+DnVZ_9J==5Bsfqz!V&ExXYL?Pf*-^sX)oHq>D}7*`_5@yD9+*
zHG3}4Yq3H1tEWQfRSK^bU%<T`$<S)3Z=9>Z&W_|&W*HBX<Mxh*p1uion&hnybgIiS
zl5TcC8rHrYzoDLW5#c*PIn!S>(0>TM4Fn*F&oMZmQ2IZx?jbUlR^8OHMzp(L+v?&d
zI{iJT)f;=AYeOF2doad$aa!9xqIiJ1e!UM}`^Bvt_2X^w5nNXx>ZS1Jbgy6EXn%da
zqT%C2l}!24g5epfz--zqACY*O9_McRPi+EL{b`8@#-uBW`u`E+uS%qcJ>&ru;8=;i
z3*+xiyvs8aq%N}(W9csFIv(+UBfC6*v`s{Ioz+OhF+z0ty+~uhXFOi2d}TsQo|IIz
z{vnO1n83}cE?TuQqZ7BQe_je2>2+T&5Ylme-zUv{cAj$5DoLr+c>*QECF9-pUSUzN
z<4NHB1C!~rin5Ap-XU`tb=mExySNmjN($e6{`Xt7PPP+6hkWFcN!Fg&oW#=twf>&k
z8>Kjl&5d6kQtQ<(9HT_PpbWK2nbwitZ>liq4}Q9_|BOfb*>O@Orge0GZN_Jkn1zLc
zm;!9yo@)jM(FNbF$Y2;NEgwXYDi6gj4#B}#<TaRxQj5KUY^&FOCSJ5s+cr0~-ZmVT
z&5<`Hv-$ju16MhZ-ts+ksEp{hl33M>H;FkK506r(=15R6@7=g<fbn*)vYMejE%^{l
zJp<;#y;d&tT?DZ;oiVu!Td?(x4&<yl@Ns-I7k8oLdq_|ti-gH&d-|lu*nG=tB54n5
z!SVgY?(-qv6k^WY>h!lqiMLI(R8@7Iur+QpT)aF@X|!S~6ztY*8ZDOKJSFR$hwF_y
z3s><jh7$N&|FLEqiHgl$?iPn`54uNnsoJ@Wl>N$&9*BJ2n|_D-27%g!(h(|gHy0XC
z3KR61-&;$t5Q6}`@V<X<&wqZt#s~|^>eH_UMfkS{spqqVu>7^R38runUQ!GW-d1P{
z4+K*Y_3eqGk{^Q+&4GK4YP~3-`w&+t>pd*UY8U;RlO8cNc|hC92<Y<1qyFq3yl8$A
zEVe@vqL776x>pB_!&uFt2skZaib!U78YLUPd<q1uOlW9m_%wwyjPF98L#|VjXbtA)
z-%H_s4L1qvaLSE;{YrQoWS&X{fQ5f88&E)kwAS=u`z@`BNSt-$O66>wsHv%m4kRpm
zLbFs(H3P1!^b8ScoJ1C8^II4od~+zRHh+L^<UVzv$J>dCk<oAc$O$i!^G7PFoIW^6
zR_#)53vb*qesFNmxB<b;#6-g`{uCi;AWMn8C#M0n?mg$DBmex~Tkc>FVz7^(HwE-j
zB5!MIiv@vXV-vyK<Xa-*ve#FXjKp3365C$&{o7|jAY^{V9R7AF;(qrov1&;&79%Ox
z@f5rA`rX(SsPXiz%-<AFg`M~_;zzBgIm6Cta&)AkH8$rg<i7igEoH<gUBbNyB-IR%
z0Vwek%t=c@rDo?*1aXXp)?8Kr(-|#wQo;HBVxt5jujBj3FhEEbJjPkK;LokIKSC5~
z+gp6oGFHZujh($$G}G2_Ro>PYOMKPHE-LemtK7|I2y0%^i9WkBKBUY|Cl10Vr}swf
zlU>r1t5hu+`-qZ%SI)`DgSP~Ofd5m+>klhbY@#1@WdV-*f4rj?myp0?LwhBfD_;|&
zHuqKHvwIGtch?*59Ml$h_|5<|K7_DN=YNp}JblcU20v+$v$I^eBcu@RUbs1<_!ydG
zx?Ugt6k1M`#A8IuGR|r&X5M{c894+H-8%q+55#!XEA4#6_bEBwApS_>ikozf1by*^
zmrC;GUHQrRn_)4cI%g*$4gr(I({m&K{V@xYV=GW%_KBf;qN8Uf7ZkJ!>WUxw&Lz3l
zEER?nk36yxAfR@H_$wW}_}<eZWOtU|Nx(`55KC6JqNqsn5H2UU8`(jXr(=?F>e$1E
z54bo@l9L2XM&BFxhqCqMR00>EJ-z14sD<Y#DPz^W9c^u?wEiE%sT(G6ajqmSA^@a~
zN~Fl|Y!X2F{$BUQuhx8}_<$G0e4;`2kI;gj0SWAif7ceYb8`2uRwfvcMuj7ndm>6z
z6-%RYk%9^`AZ}vdlAh|-QrLAyktoTP8j_|;D3+SyTB<4)PyI3iUBM3?<8wH5kDxzo
zF=&g3@z?8eoa+nJvafKnuFo$32bKT_@<xYH>})xR29gPU>02r>ydci{Bj?`l4nV)R
zNL~@qG~z50clK&)j&iA_WIh)>S6K;ya~s4$`lhF+hYIRGaQj7dz}JaDA9LlWY<8Bu
zH4|_HkyOT)4pXuGOURI=z*PMHewurj7?9vHOTOVxqA>jAK5m3V5YzQPQypX)fp#-m
zT3S6d`~*Rqcnw@N{6~{_$K{S9hMr1bnp#S}Z%73~eg#bX&s=$vAW4fr)98$%>X>(H
zm(zQ;yuOkK_so-73WOOdmHXiSkz8IllBNKH_pnm>Iqpbc;Ji_XW?hmi2aSmm%f07c
zb6wXwZf&3)d;Ph5uUZX9qT22veI-fth&hfj)X;r6NA!e!QfhkUedPX5A`hu>`CgjL
zqZ}9DE9V6(J$wkfe(Mz}Z0=mI<wQJ_2FvY{ri0Au0zx#*DC8L*IsL9l#HAJxmD>WA
z`#x;l!Lm^*R=8XE65GzEOCUBrjK*=ATNmE@q+GEhhkZ2&u=$|)DJ7Bw3cd%}JCQot
zUC#6Nk5hH8pKV=GC1)-~{pd}5>i(Q&>)@2&`k6C>JwCS|n4*g#UKZS5mGV!8<G<rZ
zv5QBhYOm26@CcT0EdAo!y73+n5RYf<ACJ?0I7lS^_EUW1M-4h9rAqb->BRje=e3i+
z@fgW^J{%n(vfugumKRprO+N^fl8EwQ9dLQl$_WO@hnA5ODy1BiTnGXlNR~*LN6OZH
zz->Zg;j=&a+xeZPZxgYv9k6>ta;d!0A1ZiG82bgUvNW0bGaz}U-eV=(Zj>EH;tno?
z-v`~UJ>LCgi&}%_iS6!&%1b=SBA7#4B>d$tjJ18x?+$`A3S9lnxAP@mEaeR60QN;I
zH!&IZAmF^>K9YZ+lHgacC2F4oGQfm(1u9Ev2#eT#Q-koPM!(nIAUSTrX%E@QYyFFr
z0B2zWM67^s;g84A{2pPGACz9?+Nbme7V!LB8qF?cZ*$TsAcwbQBJ+Rwl?hL9e<Uo-
zTqB)8XxlV#9CV1!>coJ%tAd!Za=*W^&9SiX(>$=|n?njGsYslafPqfCoMNTe<><rk
z;(^4{b4K7dkoRFV_M+J#GO)@BZ)&}}lmuQXA~-K8pZD<R&R%YBD8acWz2qOWyTxRO
z)!~$nHa?G_`@jabRc5ia%Z|PAd+4}Bur7|~Z^-`~e&#;o{h3?O`&LreeR(qsSzNkH
zB`%}RP@|W$Al8LyYxVWSaKnRLuYU9O4RLpH>V&pEi5NVlegc$pYWQMLQP5Lj->c+j
z=RThzv@R=Lgd}${QPDflocMs4O~^2mA6%~3T&)O&W=Q_~5D;Ih75}C%U9uHo-Y&pR
zJb3Ifj0Nh_02v>m-H4URW^ama`~LCJjqeo5_gljJD(rGn+0{U~c1kEfI7sl)9H=e3
zJqNWC1EE8zdJ5d;7#|CtLn<XvfGeL9x$pAu=h3X9K?>r5U&VX`N+r2u3>Dc{Y|lS)
zibE$gRBuQLTH%spLG?HWi!fKdLQDLWzUk~t@WBgqpH)>=!v?tae_c6fjD?MtyF(md
z+nZ;pe&fcCJ2kCWFRhas>%}C$ZKWbU2!uxSv)*!q468T*u|zVk3xq&Nj~@45GhZFZ
zv6McP6cmGLv+Vu9YN6v(yT!-R)|5j12iqh;#0<c3H}vlU6TnNEEx7-M0CztKSV;V<
z939~VCO!{KXH0K<EJs5zVsso*njj}AKVUN9iLmp%r#H#5f}68-BBkhSN65GKFp8l`
zSS!LxyE08(Sy{REhp!kj#_C!dMC)4qlNq)4%uIu<8m1gLS*1@x_e;YV>bXH@NPMmZ
zno!`;J)yk3ujNJq!d6$PzZRJ#u#L$UA2k*XU_^8WHWjR1U9r5!xKhGV+{QbuJ!O50
z2SOEufVaCJ=0O-od?g`>bpR^=fFmzOD!#Ha>9;F|j^DUBxt#H?%~*bNaxF?>+5aKq
zL6qHu8t)0C7dW)B;(}njnCj>CGv@SU_X%8O=N|QwC%C9mMFeNgtR8dr3#tyTr^zPX
zGD`#Gs)hav1jOOLRfp*$5B`9HaX6?p@`PC=3xmnOvpzlqP;+x3O<i4`(2H$cbb>L5
zr6?yyW3JL)cELD@{YjsEVic&xtHc9`zh?+|l6gj-CjTpx#j4Opyu1bV%q6^UCBq=I
zXH1NFN#G7%)~M`7RiAi|p}sVFzDe*Iq3EaAI@;4#yb|@f<x^W^*nGj)4_ZT8d~2TX
zBmeH%1uJ{qbo1fDb_a9y59a_zhy8E(8d=vwr}Sp4efe<R%WQDJ;?uPo&(1wHY_z2=
zLg+n2E8T)_lbY;q9@n9<_&9Vt?8!BIn5_r+6@>nwTa=Fma7ZoQ->){(Q=Iqxp_J>`
zkYFt#G-yX+JSHFFbz{{9g@cS#ba<8E4%jPW+kWim0JRU4wi%iAd<^7-RO`qxfYK6!
zkgGPPKL~A-(NJR~Ec?;Yso3SG-ycF}unMmqQvJo>BW#n^qCa^x%P7$7h+-lVdM4w&
zk|t+_FLFO6{`Nko&?FmGsHPIJaNs5J)#;nppkcMnRp$EPF59CnI_f6tRkCYU&<pei
z#=Bh+@VdvG>m`!~-FIHvHs^;KuAV%-t6hQEB?7)AX(}QC#n@_&9yhLZvv|d7(7n=!
zh|t6F<u`E8WM^d+)Mu0}qt6x<7k_bX&oWp|67l@#A$}6`WdJe*Y1l-S#*+>;J||dk
zzc)sX7{nntq|6YTFf^eAzc<EaGd56o+OHu$W>!O8y20V5%hQhFl@o!EZhe=NaE@hA
zQt9q=CWp=A1yzY&Q7BtkgX>z>pRUT`AB2RnpLZ#RAEC*?%e}MnWYr?T5fzNQ`^fTr
z3fwoKMo;>$c7}NpM{DcRZpR9YLH04lpaq%DwYf{O>+`Jy?+fSf0-8T0zv}t(=TN8C
z&}(@(f>$R~%KQTz=1xIxOsGaw=F5ZD?jr&05+%LyVvLs&6E%PN7U04pax!(e<|j8o
z5-7c>H~D!D3TuA(u#l6rXz4ZdOmRZv=S)ZWq8P5o3glpfpciCBdO99|vvf2qhsQ7p
zx@Nu({smnTTMJDMQcgo3jhAkZRU^emPnh9&T84xFGD-g&OfW?hB!Vt#Or8D_b;_nK
zmC!ZFq0w@(Gc(0aEPEA@Z6(DNnT0fUYu3CM&O|dK&9A+o8TT>$H`URzybQX6o$W(8
zGUy?_Z0|NV{fiYcynj;`SQKiA02Mm2w94xbWyNm^UELTK@wT?M_Y;G3g(N~kV?DX;
z=qzN{Ks#N>e(2liZycKa{y}eBE{`Qg2|`aW0gCo!q(e+2E#vrlC3412m;VQ}id|ju
z-dxISI5VD}k=5e&>FeLr@s2<ptv3!5e`Rd)Ku?#iI^gzxBy)fYQDtReFa5`hjpWmz
zqP=5Cd&o40dr!P6dh}V?8Czy6!OWUQBq_#G^+@-fH*PQ5+j1M)J3655*0ry>_~ecw
z(%{NCa|b-mP~F#@*m%zn`;Imt2kIH|!2Qu8I^SRlE1g9+IM;izC(It`Tr91EAb~kb
zreiteeNYf}Jq+d0d@*-WPcTl=k8xgLGQc9AJ*@Aj-Pd_qubDl%p%U?at$i1^QTA<m
zJj~s6(z=R(Ks+*%6FJdxvslLq{D0*VoTJJErBfw!((4)T-9uk9v*|B`s1<#45T|zw
z`usgx7XHzurH;wWba{CAkCH;CbQu)R>YgGB-zM@AUYz)Mi24}+YAECpBW@p2fNqb`
zmZ7vaNy6kfRIIy^W(g$cb#?1c&w4^kyX^8u^%aWlcnb9>NzJ)hNcOg|vvav#;yx{N
z=hqA&7UAD?X5y=c&PXvVPGe=MZy7;R?ptWyb88WUo-`@@;Qj4L&tYaBA2}xSk$u-t
zQJDd0Wt$vLrGfKKj!%6@YUKUH7r2;o6&6NhkNpm@lA9vGv)SlwtKlBAD)NydqVHi!
z#l?Acy>&COVzE^l70pdgj1%bNX>=OK88(rTk&~#+W({Qj$_N)W!nC>2@Z{{*3RSIU
z@-YBN?U<Wn#S%7b54p`}XeyQ$JsOed_GTH81u+xsMYLYN0L6x(bb(Imigu=<#BsPK
z=H2fBn$2xVa%-=or33Gtb359kv#N1(f;`i@jWN2u50n~b`}<Gfyjlpxv7saKkJkAJ
zW&Eu+pzjU4xZMmVg!2%Qbip${h9`apJrKlCqOu(7AR5JX#wB%$z50X@0>S94eDU1X
zV1j3?$q?vl(O;AE59O&66Uyxx3L6KE;t}Xl!w9xyR#5CT31&z$dtJ`X$@@+)H`VHP
z7`XSsCA{G5d+@@8&Ti#5-g-}A8YhpyR8OGUw(PwvN%2TA4r(UGn1&Em*#*It4lf?<
zN?-&r>;5Jgy)H_m<80ep<!gn2*>V#ZGtUGQ_%afvn2B?BIj}Rw53WQ)US4ZI-`j`O
zy%fpDV5A{g+}X3~DJ`hXe3eJ^_^Xrtn8dz;WL8rh9?OuB^+S3~K4NtNQpK5u?1Bt*
zN-v<^#6M+15c>lWs%-Eft89>-9yNTsXaRTdk*zS1?iP3yw-rO+yGQ}Sl>d2%2)8l<
z;{O&zr_8e*#_j(VqNS#+RV4}%<un1ddo2-WvTK8!J{YHL+<(?djq1rcLOdS9HOT6Y
z+(qH&9%;#`6R&da4V*i_73(MiR)8n>fj`PViF{mc?hPn$h$gyn^JX3=LT0Jw<|_0p
z4ryqnh0Qw;FXYW6H(%dT^|=oaQ+O_n9rAli;Ui(!IRj-9ADZ<%g<!}lyf8fh{jon^
zABn4kP>wROUo^NBB|;d@PcVDmzrG0c@LT%(QjvwceCdIj?8uH?`u|fD6h0N=<8uli
z6m;8G|H#Pz2qm_<2DtO@TQZo&7j8Pj6${ZZ-KFl+uTGd<Qc-Db7621hZVI4|A5*yN
z<~w()+#)3d6H_3&gz)P7w`8Ck&=F9vYWukTJ5T%`IgMcW<sV<z4g=b~kVyz?G+m*u
z+Mhdm>#zTTiMIcpjtr<!u4nI=Ke+MMP{B6v`&CLU0-NuS4fEv&Kx5Ah_L09sjNu8n
zbbxfUgf6e|JT0e3@*s>FuhB7yWDg@c1t7-<0>o%nYBs+WOSUBvxJik#y=KyF@>yg^
z@mjoKy8O@NPjeqH>Yxi4%*SV6pVqS@`_k==28cZuK4-S-v>lg1;2&;7-}vi7L^EAu
z`9BTm5}mU#1*`*M2WLPFy~YSyC|;_rX!mekD5>~4Y*Zc*qHs&Pr}R7uHg3<(<cZ!7
z#8=}1*t8<-Nk8YAhdYO8{<6|iy;zN-{cw(7h<@{JSA4QJA$V2C<&_#p=G~igcl8Xu
z<43U7l@$DWJbT@mvy;7FQ$08admscO_mspw-Mh>4SRb8zsN<|_EP5*W_EWkX7Aq31
zvXa;!2<ktR@_Jv_A9aN6g%9Zqf1$~snku5l$0x;Vy3)Js+mrZhIoGLMgN~X}=gXyl
zL5eY|D36PagA%7J4YF$x^3%FGh7w=wP18!zkUDYe4~Z{Q7LnFYR)})wTGa`ASe@nw
zXx<BA^@^M?Cf(7&p<o&U^^z7ajZnswot=F_8ni)hiQnFzx_h0I75Z3sE;uCSL;L2A
z%$ujO!g+H&(-+E(T%SJf|J+B3ROBXvxBm;oyhu!O^6{w)E)}c-#BZ6vE;sJyLho+$
zHmwC8hHW~0?h5sPh%X0D{hp`y2*+Q)A7pBhQRph?8$f`8hbnUV3b(Y`QeIZp6sE8b
zqDgcoOj*xnaF#>K0f6#ZCoZH%erNq3%EoS8IAETF)WuJggHhU5vD9f6q}p6+?Ka(K
zU}R(j*2t70XZZk#$*~kS_CU{KfBtuEhSj-GYP@yw2}T)|eVFdAsK{!eb4fK~z5MF<
zx$Iw$D>!wpNHfTrR@@kgiyyy`z8@eS<SX#9Z*joZ|Kd0x=J_S)Pd0b~UWO%sO2K2t
zdP-a~a6ghc7;6k%>c6V@)ZDwG!M%8w%T<Y7z9PaeD>L&lpw$DZZ)%P|Goo?{eo*)K
zhzQ?yl7a&pdLy>iLkg-vZG3r5KVcrC)fs24!}MB1*H;##p!Qs7+B_8gG1Ag{{df>$
z)VDw>wP$&=+RlKpM~L7LWA0Y9w6yFyq%id3$9Tv)@%mG?Q&-;(LFa_f*IieO=~u8i
z@oLuZ<{(H&qw)*%H+Cb9iV*C>TE7s6P}w>tI0~T>m@cSDkol$K=ePIW422dq@{>y-
zL)+g1wbI<K_zewJYXRbyK+li7d2^C6h=}n*RhOo;f0FhEL&KOMd$fKEvh|TYA0K1R
z!q*axh+17g{)mr`b!o$APgVZp)7<4F!gjVC&bj$REk99C^o=xW0L2W0D*wE8W=8Pk
zuThb#?Pa+~`~jd~u;R}&z*;?vzLJ>{mjy-m{mU8J?EA{}Eiuld;b5u<@f(qQf~Gdr
zWsf;81|ZQD`8EhB)kO4Uy+`A3;`;%^kbjkKq&=!(Tc#apDsPKq1PDMeJnLxgeh~4k
z`Tk?Q0#hs+Cqy$tVN(Q%b!qVuHCb7s?V_eE>3ikBvqelr2waVG2rWI+8Vg3{`gbe=
z9Nm?(7z$BQ(UEIVCW%LduLxh}psgMHU6b*S&AU11kB~#Ir@98YeHTpT;3jeT3jNqR
zvW>FWqeN@c2izdmO(!y06oR2MB=z6sIJ@X@)g(la6j+;gSUsh{6S-cIPD@SIxa~I>
z(dNortCrde#cR@@nqKvLIrdmU(<!x5?^#8HOY|EfBEC~@+HN}gn=etZ95;r@-K;xQ
zsVr=6#b`<AA*J;za<SCx;$(^y43FaXRcTbDYf#xSraQ08oOcjknktF-PD11q@z(lZ
z$fGH_)r#f`%pg|JFYvTN<6gm#7HmrW7n=ypVeqk~Y3PvGwN+=oJH;U|--1maJfV7C
zU>3_F<+gr8;A(zJd%fm+S?!DryT@<nDFzr3P*wGDy1p&x3|nAH`u#8`TZhwbw3C^1
zqNyy0X3veLce0JepEqL6qZx7I<G4^&vTp(9er`!qrAzy9(bbz#_xzElD<{c)Uc6J{
z{j>L=)E*#`SB-FO`y8Kq0+pc|AELUi`(l>AzDD{-J<lHP^o!P>-M0P=9isvqwWr8g
zU!V6#(DudJ^7-BmXdu>g{d~k%%&Ep7&Dkjx&0abS+M`vi9#?(4f*~V$s7nA#?~6Go
z0*Z|d?_)>`sunG@t9btChV~`(eF$hE|LJcgj`Jk0si~m|W1#3l52P|HHqdr^=_11>
z45aMm0+2MAU~Lr2Iyd)w*uqIe)o=w&dn8QeiGjBASzm0Snj@0-_;{0iGZVsgs>9;i
zw`-f3Yz${@`F}xdr|9L!)?=OBmkwWT5i6^gPZlf2)Z>P-Yx<ztSSzOmAyVEvn@8lb
zCJm93zj4~1TNap%eqYl`3xj0qD##7|!gE>Z3;xR2PQc8>#|1*$qEfQ8BXjUtZ~VQq
z<$N>Ban~6x2prH(rWck~@N3^cDRtfc%Sj7&lZpFJaQ5TJn6pZ?o5mE@#$z!;HOuHM
zy>3<hGP^n6N_(4&lipO+f?Rlw6w$Al{me?2D}0(n#IWnHlG`x_snkhlPHlShuf|M8
zdF3$pbr;f);XE^LuO6J);7cq~|KkfI@KijbhGYu2#<S<=FV-Y=O<!6)Ydx!x5e@BZ
zF`_S1HQGI?E@`Dj$lw*frXJDE$LF25GDs*=IPog|O}O^t`ONjGkoE^3)8A%k3zjsQ
z8rwT1&0Kz_`IN#n-o83X-&A_QhFwaq(yg^vb2^$wz1~jnSIcnMkp8LMu}HVRHx7IQ
zEzVZ1Rqe9fjzkIV-%e^9_G-{&y(_??s@i76JTea!?gg2LPOa-T!>3>T)^gm;s`_}F
zjJf~EB#eTXXfFe`PUGPe;gUA>M=P%#rxiJJg5t=0dK+oCP|zJUg6zJJp<*IJfn7wO
zC38eR<0a!Le@SayK%0Dx*O{bSwdci#`CeTmGDt`<alN!J*)9A^;H=nss=gv=tbddk
zk(ASboP7MJw#1A89qSsel1rp6@kfm9my+8BuF9p7={F}Q7}eXPAH-*K*50zxr`Erf
z7QvXG{v!P%Z8ci=ScaN*>hn*9shuSqU4;pk{6f%)?R$AdwKELU$mL&Q&eb&KaE|Hj
z5f>4<Oj^nIGNGTPtR0v7VC=!2L;=)#-?@serpSO^AzS-v93MM^0)&?oDlTyact<Ym
zX;prYMk32sMjntGa8WmwyXLm6s2M!%d-nB)&|eahY$(TPa$l0(iH#Ei)p%|H{A0m4
zm<6s~<u=#mw?7ypm2uy~M{JetwuvpH!1F7&Yc$Fql({OXW*l5N>|COUYe7Xb)CY1%
ziI4dyf40+lonL@#&6(At7Sr=<XLFn|qQkbEMlF|c2&5HEpw_Q~p=^~i_DZJf@WhA2
z3XyVryaAV`8N(m*m2eq77jDXG>Ogi}j`7H8@8)uxA66|rDb7DaV~~(f!6?exB(0tC
z;M#DQMr!g$lu)CNX=jc}d0v|2JjJb6`vQE#0|OSkMg_OhXr`liEaPVdg(5|?)u!23
z;d73O9H;*lSUz%>NU>N{<0k<+>96<q_q>}3DPW2D<QeZ!H_dr0BcJZ{S<$Ee_LL}9
z_;AMIOYdTrbv$&nQYtd^n-d)6^ZZJf7QG~wv&@XB4urp8e4X^--``;(=c6+ll+a(Q
zBR0^D6k&1rGVsasn&!(Ueie_K*KYp~Yu>%b$jo)PPg=PWWvb}W29Z>TjYktX2p!Ga
z^V)S+3H?pKQ9csY`N84}f!=#N83W2%#N>8@b#`_3IPzcLZ@5~W&WeR3jyh*@$7FY8
zr-8!%JU2jA)FftOY#XjfY|PP_t5Rg5=VkkFH<9emf~@yH;>alJY^T>L;zb0q@u5<1
z@|ahGQ3aaKbbpf;VL38Hj*rHu4RAHbrnCbYW#|zoYrzy3uuCQ0`<EQxEfd?qD0b$$
zWsgJ?GliA#;p^LwfqvL_uDa#ph$(=tua9=?HW<X+7tXPr$2=cBz;3^5H2<EOF)@Xb
zfs+k6bAo`0wP$I#K@#KQSXUUUu_L1A%HoJ(N(grEu}K<F`=XPF|NbIDl~j7>Q<KOP
zoK8+@Xn+zn&A&6f^pMEO#3X*{;!~{HK)FFimh}IeQle6&6mv$CHl~`)7?;AZnC?_Z
z<pj!ysF)pBsK&d{Jhkzrmrf7MpNBO{{C8tM(mVO4P^w`p+(%UPOepPwNJ{GKDLh=2
zRS?%SG@6oBnBCu@x>^LjrQfu646M6)7XlXk&<EkKkMxh&JkY0vFpjH5rwy2g1O~J_
zGd8ei|H&lypj1@@q%ij_!WJ-Emr}z3Xz?r+YYZEuq3!tjj2o)l{J~+i^=a<M#7yC1
zDA%!WdL|rFDdT`j(FM}7c3;>&PtY;r9d)xtXWm~Dv`(2QO+q)Gw02Bxx${4}nBYSi
z51}z(I+<g2ZTx;&!Vg@nOFt1ChMqpTC$qQ*l;W{58(x=y^2u*!Fs#PIBTX+I@%*h3
z?!&)bKz}UeU<M+`57y^W(_PP{(lf0ncnQ)A3kv2L>%2Tb?h^`aY9alKU||VWyYgOh
z7wV75#TJ?fGTja>jrxy?4S@{wIjOBRF>V+dq4)GFZt>ZXtJ>$eq}Rujy<I0C66Kh7
zc&)G4cVU(N$~c@Cx(?@1dKzSA-2c=WFP2@`tM91&uLKbSy;x~g4r(y#B0pG%m$cKb
z6a*z0@iKfwvSeN~GkZ;1K;ewD&#%tv`?j*O0<BEb!`IgC;P~~<Wy@R|M}<$lRtfor
z)3A<qJzZ{NAoH*Lh;SOFl+}U4j3Z;tPrN2kr-cy(5P%J7^N^~rAU;Iv<LUr0QBrOb
z8Xo>0Li6_IcWM8D#(32CaJ{qbDg>x%`$P%T1dr(uMd#HFk$HT4{W?rfN$)hM<fDDK
z((DC3qMS>eXLIQL5S{Gn0``phh|4S!X2XQky}w2P!VsR%Kf^d)a=cT%f(el!H`J4D
zz$lGqKV8q}*j+FQW}Uw;W52*)eo)JzChKsjvK03Ig7Rq{ss8^^EZJf1fdmz1JLGxI
zEE}yZ8Q~Rt{CBVX@z9u6{9KtP%1#VXz&1WM<~G@tgf&GPA?!4>MB4H3$bc^Tzg;I=
zd{8Yy$7+l$vyRX9L?P^!(Z$*BjXyp-=nB-;*0i_B^aUq=F|Mf`^Ic6nlZ3hQ@{!%W
zzf+{QR!Gm3^GoL?>U{syYlL22IYDRi?50xbrtvXgUhp4)3Z>wqwsOVFw8w}I*w-d$
zR~l^9SNLmp2uW!PdqbIw$556F%{-Q#6qJ;uuH!ly8g%OU0<D1v$p$w52Y=fruqSc|
b(hX)T1+Slj<ugkJ{HH9hb}{R`@!kIe_$%B^

literal 50701
zcmeFZbySpX7d|>O3`$9epooN`f*_zGT?43uQqnb`bc1xys0b>EhzJhd&Cp#6ih>Lc
z!cdCR&CvC`!Fpf6v(7r_zq8JIb;*qS#Qp4h$F;A$_w!gqN%jcYNiqloaztM4+HDAg
z7<`4bk-)$Qf<*xeKA=vwWu+mxxKoqhFAq(%<;@foA)Mel34|DW6hgFr2>1<wo;)~t
z{}cr%<L~dcp&UPt0oM$$guoAuhd^|}=l(Av@Mr&=AD=|=&_7p<hy6O57!ptP>pQFs
z91ZciCglx2NFC&KoFEX&hW$U#a4t$lux^O_H7Rv>=*%E#G<`RE-pA8W+f!;aCF(l8
z6wS3$f(TVrsldzc&m9__=(ae2(){k&kpBE9#;^g8Wn9(hfc5#_$dA_oPxA9fJ?7%D
zIMz;o4MD7fxo%=xk+8P1TS;}QY22ftvSLdoGj>y)MPk+?Qz=GdT(4n$-YJta1^hbB
z0;fhmp#S*s!hm&f2f}#rWM)>@^wiWzyo3U7Gr7noI@sbtiD;?Hjei|YjflSq`_f*(
z{eYP&VbV4(J3D(|U?3=nB7)nES<~g2u`LU+5v`k=np$^7(`uUV>%Ol`4eBy~UqcN#
zPLXvXDz2rag>xbaGEh3(X?cG3EQCeev#6>{pF8vPcjQ)Qk+oi_p++ZRXl}~+lKQ`w
zO^v9#FcS1C)u!|_mNSyV#+UQq*!cL`bZ={)l3e*9B-<2snDSIQ7OQ;orkadGtpFq|
zUejiRpL;56GN6z7-pQIXC<u&%_0NyCbI_>Eic*c3`x_Yp)`?i|tNi??W@eP9gjA-J
z*kU>EL2@%PR5!b!3bi<h&6T{zWw;YIm=Xq|udhD`{`*oWL<C&=ZfbCi)iqO}Tbumy
z+E8tl+1rP3A3u^xsy>A1YiPJEj7Y`YNYI(olIry>QZ?OCml;d5Y}cXeqw`fL`Ny&j
z7TA`LdYe;te;LS(VC~y~0^Gia^2DWhxA`F)y*g#g@ty%}2llodzH5Gw<vanCVZ@YF
zW_=X9lc9#WCpYbV{qGG3fStcLmDZmxsiC6Tt?ZAaJLcI!zzRo@mYiO$Gkgv0@u@ZR
zUi7z$Dj$B%Fw)cI^)*Q()j|ndP#AyZe^khmBi@_wg<$b@7Jh58G4l@;c^+=qDGEk`
zPacvBT4tygpW4%ty|=b8@*}hxrTlZ4kl;6|%Ka7<_wGvWUHf}!qA*;fWm8j>z(WzD
zJl)c84T1bFv3`$<wuIFIcA~r?_hfSkAca>FT!hT{xXnnX&wRpBnthLudT(M;uzzhS
zkli5dr8}Kx6~k?h@tf{kWwGr&n<wrskeMAvR{o@7bx^L6D9?4mr<SbZ{Gy28qvYX0
z8ZDQZ*Pkq-4KJ|$(TyLQa1I*gB6AdLD}`5VD%Ok6R}a<nT2af;RxPz3u1Sp<g|2_j
zH|`G&4ZXvc$G6sBVB7Ed*3OY$WN12Dp5dQ12TTyHL<}@UzP3L-q-m3*1A`^Y+qB|y
zkdb)+!@h<~FraLkiW@DSIwgrD8_-mC53L4<_x)dJ*-J~Asi;$#v#IfMWO=F2j?|ka
z9jVKyqzhcJyjj`k$HA2qyPRZ&!*b%CM4MgNi2q^u2Yw*&+z3VNmoHaMo}S6!`-1tD
z6<dUZXlZFh^{3wW5W1Nu(off6UpQz-5i;s}{D01_;5PbdE=R(jW0@pj)}*EPNo%?D
zwF8~k^3swnk%NIjjH`8A&Ns35FJqXx>3xc6Tg)Q*CbDn*k1Qt0A~`bQQ_=p#Xm#Rc
z)wlc^pRXCbL%JlnAhmd93nqKjyKm@`OlFltb*57nJjMRgZ1=aOLA~x;`*Q{zuNzS&
zif^{nM>J+Mz;<Y#8@CH@S#(Xxh>x3%dEYh8{<n7I)2nE@D7A<rWhvR#V(ynjQ`8A`
z_WO)M@S}lrGf1-kxsguYA#J)_Cj^+<wDc~S>Lsi&8=2cZ(^g)7S0apmmGM#eZvh`Y
zGeVJhy7f)L&Si$4E*k?_&b(RJ#$<MyLcc}kqnYAvj=ydFIW?44-PZZY$DFY&U(DN&
z5SyB;M%&7oqn<6V9#T9C`yaoBMk!{W@5WrRX%cCg;WyMH%G>xnh{KM3pw(FapC?8h
zQ%MdkbMIqt0mpH^4snePVFG?CVn+e`mxe;A$T%uE>-wKDQI*<;_P~*|Px9dXbA__E
z|Hl*a!f@)=VR<5c_ehI!?znE58WCv!zFHbeu~=XnQw>Zw=Zjd-mA|(_f{x^4IrvZI
zMwwEYzwY3`hJd&xU1R!7xWnYsC?7vkhQFLIiV+ISV>~zYmtfbCD9Fs#%@2^j0^k4%
zHENJU_3*zJT(<^;8x0#uANtD)jNAZMx$#)!FU_bq&I;MuJ$eQ5*AfN6RRk5fr2g&X
z7OEl8&ubCSp?@v0jD{6bshUXnZ`q*ciAm~eY9CVk`yz<CU~rY-qb`3vk2fy@vbuB5
z1oGDs?cgMJb}!Q({99ThUO-s$yr+r&6Zt=O`ahBXr{(`Smj4{fzntQKzWl%N`Cs__
zN0bCe;y=XlA4vTF6D~(o%*)pOBSR3osDf0h@txm{kyX%0PtTEaS6(hyUUFJmF>h+S
zaGm%a={yw^$mZS2s8ORCE#<#LCfbPf;su?m<qt~A!8)h){kpi`-7_6|on(H2!Yebt
z`4AL-mmL9l7Q@Z`n`L-I*Y<M$#fx)h+fA=G!y*Pn<}nU5ir2VyrpEQ~S{H~SUWMaM
z^63rUbZ?y4&v~U#kW+_El+eHMJpAT}zv9hsZvL^v`-#^(?N_@-S~ksH<P&;Lj8-%~
z+<PK*VyD<+q#$T*k_GB)?evcGzw!)feQ3)LhEQqLA&pHj9M@1is!6pX%cywNbuJ|c
z0+YXhfG9OJH^u*cx`(8Z;jK?od6(W*+;!<N8PULNS}_aVv5Gzcg?~K*9*mri{ddlD
z|8#sB(lTCmV<zeFMJ}T0kl3IUj}asNb2lC%96)OGrg}B#)UWI-Fc;-f^RoY{Q)auZ
zSZdCsPMeh>S81`YXexW6Bb-_;8v+%|-;HMab-Wxi)M*;aVt6rm3vGKyDR%me95sUV
z7Ld)2w}*ZwV`w|l$jQ#HZxij9Vn!Z(;=+_25qcAW?qs7jhQb_z(3Z@<u16Atk`M75
z#<Iv}Z@ucah2^nenS5^4?I&#2bo_r3Q<0->PRT|1TPd#UtzlcYN?WMK`lLksAuv^H
zR){P#^!zVb{k(A1epa^2pBV60R;EfV7b4Ag_4h8aq7a|pQ&Ur}v;E<rp^i-#(g>5C
z>}KN$cfiB@g2gTw8sGR$1g&euS5<8<HnLzdGdrkn-@Z-Hqc3DPAhbsr5X*)_+$GkA
z#c2ECp8e7h*0#{P!z|uL9azrdqN1vm9zCXRGZvr*Z3z%)nGCb*A9CTWdVFHy%EyjX
zHBC*k=40S-(78a#D>-lY{1NLqDaDCPbsh!x@59Emn!uw0;*+G#;A`Ta^d6y4j1!r@
z$mrSG*~wcmkysWR8+ICnxJL?f@LNS}5HN)wqLSl*imz_;=-Cfey4fo#wmd&A<4)#$
z&j5Mj0ip`1$s+x@_aEUI9F<d4WRmc9kDyH0zZtbE*z!>S;6FzoY1Y4mDGS*4C$B-M
zPF}TmAH-m3X^EU<*a4`nmXsQ`<N9ub_qPe0MRV(wT+}Q16r}y#xbc~RYoDnU%qSaN
zSrN*7pH5M+U;20c9hh5Z9_KS=bLm@_({WR<{&+R8GilfU!BNXaBAlEGmj{j<IfBE!
z1bTz!0k^DdxW0e*j|-v8$by)~`#oyDe!cr!dS!>pZtAQ5A>9MB>KM$U6OOY^p4Q$J
zzS|He>@?P}LWrh-!e87(L8A40!`gqd2=eR>N_h6kNAFO;2B5HuXeEe9+8=^-;sruO
zL&MhA_Lt0f>L?t_NcDa#2nw${qoSp?w!Pds-(Spi?%X+E-ubC4Eb}EJl$MCBB;efb
zVV@vdvrpO$e?0}O9BjUJuciZgW1yqsHWInp#D#@h5`yTU@WhM25nSPDIsF?lTvIjL
z+ugzStj^-cw-xqjz=;<?@BVsV)GKk()`+O6>HnKUkPlwIer>7j(W7JDcV(ZKjL(9J
z!LzdNcFF$PrMS9ysR#7jx<xM2n#;^1?MbqY^8?YOKypeza?TMip}&{*@tlgbwvh4r
zpl>H>lYonCAjyM^T%L;tkMT!3K&Utvd_?GhlgPjRb^mZ`6zwQZ=Z}9lIP2@a1o(u~
z{;Ge-1pz1a|Cx&?vyT=1<2hN~VX`62wiXuYxw)X=!60ZC4JondJNlM-WtM?~VRCYE
zvkz-n3#vZPI~Rd?VCN7J%C7HbdA}?VaTk8fb8UVYOR!e<oB4cM&y_y0#(=$BHdJp>
z@3MPWx+<<y^#%lu0QNxSQqFMkmkB;Ufvyjr;_^2u@hK=MASic+oR)cXZARr-sbI`H
z$HTPb<Ow}pUEPMT0vfP|fX$00L_|V=d#uODROY%Tw^nDfK4-)&&OgCrh2XNfa_-+<
z2xXI1XBKmJ*cPp4ph2+a15M%jR}3+OrnCUB!{xx~asKR%h@&D!4~2uRZH`E4h!Za`
zSd#l-!$`DVU;cA5nzp9#_a(}Al~^XTpS<zeB&eo2E8k1rv5|qGP3T!6?91JzHorvz
zBfk1BQ&!pI&YU1zs`Y-)QHz`wv!g=S9$`t&g3ux~$$OdTx1Ankizj5!j(_`hc8o9^
zr}28Aib}rK->#P43n(Bd@PzX2stiYeNo|A}y1dR+{h*gTCV>jv5CvafqwzcPM{Dn%
ziHBsDYi_+yii}RG49?W@?7aOpuDN?~&gm44#90jm8Bi3W{G*~1+N^ABGITG|qPef0
zS5JjAAI=H16M6ky!r?ZYI<OXUGk(+_2juwEi6KZPDD|8e^8{tRM(WT^qOR_R_5?D3
zZ_WbUr@7ejTVy|k;SQYEOwP2F{htLMeEWZWc%53jG5luXZxOc<AEIK`*VCKUAr>bQ
z;ScX)ZAG$(JVM+80qOFc6jh+8d7w;V+WgA$gJ;^;#OqH*n6`Ry^x{0HG8RW0{YDvw
zNwC`uw94w5no5|flSQ3MTpS!E*gE<HTdyS{O!xAhJNK@znn}okbsoAp)16>U(jW)I
z4x2XSI;%YV6_3H@o5L(ZhdY5M)Y5Xp+m<RuUV39QT<JES6e5v%Pf1BB4eGx5^<C{o
zi@o~B_XxutKaWq*!kt&|`f}df+w86FdCIWj@;UELh~%!jr^p`W9vQF{D17^DykFMz
z^~#NnjiH&V;ND{{30k1)f!Zqwy1*OEHsXbDi4w%>mtXNdVcnBmzPGzIj*H1M2o4TT
zy>Eu9w|->vTGDT~uvJ1&Q!{l|a&M!xF^C~4-g;V$&?a+!$IQfJn~)}XZbz44zvO{p
zAto>zx!?<-+VfD&wfDh{<Fb0200<7!vO?TigOjL9Do|tSr%#>)-G7|TS$Z5*Jhm|!
zB3WW$9_um2XkV3p1#t!=5-a4G*yjQYcN$rmuM2jaOpNi3-rY8Zn%APPNd8iw{U8tv
zf`FIZDSyNWe6DI4N6uTNA~=D;`|LZS2m~IIZHW)$Vews0NOfhK>yWnadFy6twe@*+
zcmwA~Qm6UgPt^~x26taDSQ`)`L)VcWqo;p%O86dd31;7x$65;E2D&iYki_5N2*8zS
z;z;O$hpuacRcK9xDND3Nu6BBXy}^fm*3vH$B+8Z*8NS!dT~brH&@Ri8qgRTvDJOK?
z44`6}8?bIxOH(Q~{b!lTSsB=qxZpEs)<77SX7;7}nu)}xOG`@^(H?<;J13Em1FP-V
z^1s@BKn{*umvTS?2Cio}DsYM6$@U=@*y?k2UZ@?H>IrU`6hM-Pzi{&1fG4u$d2ih7
zRQXW(baj5%z63Abu-x6%wLNlJGO(=KX1hJa_gI0J$7eAfE)!A11Ic=y2G{X%d_8d%
zhCVvNJc2N=JM<J00w;`cIaM(a>Khu`;|t2Qu$AfQ>3R4I2M_|TkC=z@@ba!*yzfDk
zXI?4W2pkSQi1>}t;Q};rO6aY*%6Xtf_<Z94q;-+=WQR4jx+kdfkdaTf;@k09FT1qS
z+KsU&eB~YO#<`*Dt!^#D*&-UwgNwWCqt+l^+pu<VIE({?jFIc+AAt8kkiW36Ug_DI
zuQhB0YU%gv1gbaJVEQ~{`i@pbZE3Y{S9f=D>C@R?b`FrNvmOw!tqA2cAmYwcMZWr>
za;G%SXP~=b@||3FcXy98cDwjHCE323i+*nA`A4k2d%8}%E?*@@5&lAxm5ZzSqJf=-
z#U-w|VXt}daSO@4?d5`kE93P0NcI<GcE5&VFbdHpsX(K8i3t?rYr}qqT+wtsiiU-S
zg&NxB_fiU{xw*NOB{sepxD9?EIDz#2`k4LGmoJq?*UdNjT7Bsqk2C&L*-L=3<DE|h
zBJ$t__i=#6RW^DkytdaDiHV7)dvZF}u%BLSERXZ*mE8J19_P248fDj!#VZ2oa7vaz
zZcJwnOg{CG3I9=@cGuh&>S{;ZWjKrr2z4gKe1ybV5wS<ZXW5Y)%qWPdpDQ1aefjd`
z@XnmuSk}@4mEU?jzje<kF?SWGcgm7G1l!WVo;RdOui0YC)dKQ;xWg(8cc*f=r!RX0
zjkp4Wbl9ZT6?*txu1jun12k+mzKxH!zUDK3`;gRcdz7VEvoCr{Z+KJF({q!*SATh-
zp33^EtAR_m#)CsgtgtdN0hAiPcJ}tRwzFUA1Mv7}*PrfmLcFfR@y1@`mln#XHHh1S
zu7tg76cS_x%D`cZw~uPW@1JvU!8ZnZ)IT~>yZxP4QODACb*7J#S33{k^w#sSs)j~)
z2v~yQ&Xks?#j6b3CAFLJPEJlT0{z%5Eo_fyz^v8}%aouS5wDY|c5r4ypWP45i|<S=
zNE#GIW=n^CN6?1}Po13Zi_Vp?@fWXzF6mCW?yU6kBCE8&1D`q_{3err(Wll^;gwks
zemZVW(9Zri{$JaPsN940&(aH115lzj^6t3d_B&qRJB{vxF1?o5i*`Jlxl4ikZTgGk
z^{$3)RnPk<)4ux>R;^cRR~(@7Gm0LFT>@5hSV#gFO^p6V6Di@dx$vdF#hs^S{p)i<
zW=rH6yX3~>>aDeCC){HpqHKoIqE$(z0p@72XF>4aAeD7)-&$j$Y0r!(L$`Vo0f3qq
zLvnl7%oH>e(#IF_GRLn^t7@+edCdng@Tqfubuje!9=>3CM=#6^#Z9~qq<@BW4v_05
z1<I?DoJ~O8n;CQ)&Or;am}_WjmzjKg5vW%A$fynl4G~)kZ24qn94Fxu>oq5=HaDWJ
z5h-Ac$zX`hZTYf&fM^!{As}GAGffO5fh&Muncm!DL^Dx<LQ>K!?oczaYsZ}TzOQBJ
z3c!P%XMEmlL26Xb50>>g2Xu%in!^M46at$ib)a(ax?=MO-A{y~hKTf$$f2b3cRlhv
zs2nb~BJd=vBf_AbInG1M^gCO7Ap^V`K(dQ7+Mt&w&$yAY)ivZ9P_&Cc(GGmUuZR92
z##W&6;%@R2)V~nc4_EO2`0(eaU}NFXm6a9dQ_m(f(s=n7j9MoFTq9gV^|G#93o-tq
zJ^geO!?m^d%mAvb<Ud*=V?RjlXK5(y)$kF()G?51MAACJe(ecsB<x9q=WA~bjqt;K
z4rXR!Z3!|DJPc0o!=&hqNS&W!C5(Sd=Ps9ufk95`5dg<7mZVMIo%R$~Gc`5!^sHF&
zI8K!!0wY-mPIP8|T6X^TYIw;bA7<2Lgvf4YX!L#m{=Mnj(BunQlZiwB2t+?6#d;a0
zOPnK$j>2G$39ZQAVn1cBF(K}~o+ps5H2|4GB?KZ=;AMw}IJ7X1zwsX_%|tIY4hPV=
zMk6O-7O&+Y6zfKe@3g#J(lqs;A{i1*eMIRA1ooH?m}pO2;csG0o+n<TO(Dwj%kwJ^
zQc~y}S<)XWL)E2}Q=Sa2N<BD~;j?m0^7WSDQmq386`B&@W2U9NKkWysCt<qwHW8-+
zl=nE9t+943M}#%hOSslD9d}M$F$wg26n!7`lTdSj1U{Ze@WJm+siVA?K(-wi6S(5q
zVSmk4;0!nf@Bjzu`wy#yphtkEJn))j5dN3GfTLd_4o}_V)Be4Gp|I(-Twd&jVUJ|z
z@z5B@X<4Kz(pRZw_ZEXlN_xDI-T3!wK!K%z0w3ljGx(#xiiiZa$@eLA#dM1-kxH48
zPX?Y0lhu>6^PWA_xX0;m11<(Ax782+@r=LX7NUbJyT4>AXEv+qlGwQ~;{sxWse6&c
zVf3B}k_6D`@jr>_{c{U%Q&TXWE4WCmX--AI4|PN390WMJY@ennQ*}D?`zah?fXK@r
zSo7AE)Z@DZx55GVf?orM{hYkz(l2E~!$~X_onW}BuP-r&d&EETaNZ^c?h)93w0cC?
z8`d^k^s5r(QYz&xw8X4yVwuoB4?}H^7LuGT&q}iPx}s^R6_O|c)KnL!>2$N~I8ESv
z6rYSpv#N#2D@CEosf&$E(M7@gLAs3}-BGY!J)LeXE~<);YA#eJJo7t)LJ)}ENi+$H
zmNZZn(ucB*FJB(B?Na6qkrr29`=o3xDL!Otu5}ParKr=>x!2Y&t=zsFvi5uqcm`*n
zMC~id`~Y|Zs%*n@(-xN8$d{*B`$fE$<3pYACYKyQS*(4;3e5`Q64zjPjl9%@GOSa;
zV$;JqSYf-=moDG-(MTvS*O8=ST9H?@t>%*^=B28?X4q-l>EwbZ^m(t`8=qv{f9g}v
zL6hmlH=eZt%!iY`NY(*2F;jW-MgUD92K6{})AB`fKmTO!qmSt^7y6I9mdL_yrqA|_
z43*r&zfAHG=>L<r$sGkc{6b&u5gMT2Xa;TW&nGfw$E?>d!Go%)^;W~jZb3Bf3L19r
zeU8Dr`n6L4aq@svYR8v&QW7Rkr{b(0)YaN+=r{OHKHRI{A}B;qT;0Cg9KUxWE^O@2
zNq?G52r6|C<#+V+@A_k|7<zp+J4GqDqaJ6wH|lWv4>!#^Vhyw!%gYiY8=nR{?I`%o
zT3Ih-aq)EZk&Tn1VVz<?hvec@5^7RPI1xl<=|GPWOJu<1FCq1AJo*X6#HlSV4yrE)
z?DZA77%Za=beTK3xCD!hR5rhn7x2`a9u3kFw}_NESme?3fU-Uz&i;!?YbERA_RF5~
z8}7@RRb6fr)zKQPvX|YdVY<*)O<ETVumK>{s3)`mvdpLQ`uUu!4lu>Tu39^BUbQcL
znGW?W+qrq)^v+Mo$nfn}!=&0tl%-A9<qqiiVkA5jzE;vbVE$(IEmmOSs`!E*{)???
zx9MdeB1NEzOQ2CHZ0{tW^iL}SMBJ#XJs~rzB*3JlQhfB&Q$5ZQ3sq+YE8YIUMb`*+
zvLh}Udz*$f%DOckaop@`clz@zkH?9yv$M%Q@SGbpC$0PF?8rb4TRg@JX;h1H`pILV
zsNfh^A1kldBIz7!m3vl5zF5=J+kr`SbrMA5iqV2%e%DU5e#`(6&vKte@Umn$@zZHJ
zE61ngzhREl6#JNLSo!XlmElI~D`R%8FJ{Pvm7>#0QLD4*KC5ru=S-`!+p0K@McbRk
z`jm_3ZL|$l^d1+q+bhd(HpY&nb|o0|weDedlUKQmT-4J&R;6Y&PNyhKt<shD?0w(Z
zq(a&a=yzl#2>5ht2n%it#(e0)@_H0oHa<c=8?y4+$xLIE)HCLsKz=7Innx8V`%%t`
zuJ<sMrlgkCl$i|Y`)p2iqT6iY)C+-tk!L%8-|i<;N8BeqDQT#;l@`!NN@t^WveZ|7
zqqQ^=n?ZEro9{SOE!Ssm7_(+q*scCS$Y-p5YkW;)@ojQyYj0{WW?=dnB-d|TS%YdP
zxJMN)gISxm(JxIL%a2>x`RFuhj4Q%h`|i<3Su&Qs?5eG4n9CflEll{<U1b=aJVw>^
z9>czC-udciW$&>m<c4zPxs}6ITjCIwY!PjwUTk=5v3K*d9;IFRd?HI<yXt=Is5p&)
z%pE!z@N4Zy$*!_&N_VE6CbAZ;>b1MYD4gH>7;@@%&Yjt%e$(2L$=(@7Cb6btCnY=!
zm*Q&Z?gei2->%u4@QaCBv!72s!pMkx^V&D0SJJa=E@k-J!1{1KSAc!{S*P{)&$+j1
zwr}elqGC8&Fvw;Yg^8k%5bJO2Qt8!BJ24ZAY(D~Ii3PH(?R^GH1_!1FDEr$?A+=34
zORK3q_~~Pwc!^-fA<B6LT|J1MrCsiB$ez_&>bKSAiYX=TIL&9`HTkIpV;P2o4Lq%(
zZFh<E=0gUIN3P#q3ett&OnLNKaO!gpTvckKyzWVZ+NBF#D(?y97l<2sNh>{&y}Wz9
zdsgXKUQQl~edbwc`BPERRs2g?vT&Dh=1I~)K%JijnK1jC>n0>W;~O<Gn$XGnseC1_
zOQnA5_(@3}Tivc~`>~X#w}gFW)V(k>*d4{rn%j)15c}4-!7be3EM~FY*yOG^@A`+<
z7n^#be3iXD_Xh3xTFY+_-@doiBe9G%D?DnmoU`{5<JR<8w{h>a$D8izd9SPIxOYD9
zIVs9~<TA6qX<B~an|^Nvb6HABKLe@|TP`?CAP-@g|H^XQz<Uv&r8#?%yF2c91W$}3
zPT0?7$YX<;n1?cj3|QHSB=CTHxeVezT@t9mC9i&LE#I^&9`JOVdkl#dF?rcHF&5<G
zORyLV;tDxD5-pM8LFBC7ncF&(f5B&oU&gw|3|BLB$Vhx8bMk2`8+@d%mun}}cdBia
zs-{5kde)`!f@U*ZZ1s%)@gc9Z!OW&6L9J}<m9Z#VB~eA%x1;YvLV9#8_B$Q_HXl?i
zaR+-$8X@cQH{ZR8&5RVBnV3R}t5HT8g|cw|dm&qu(7{~k<r=1HCDGpUcREV)t<Ju|
zb{oySwfd#2-<)bOQBjh8WvYHk43`j>*Ru;-aUU&xws`h?#aT%K(3W?gVfaPUoJAsd
zIj+Qfi1pgeXdlZm$RF6`=WDjH;WCfAXnoE}F?=~owh83aKXxA!680;KWNg8|%%zR^
z_7>Gsx#uDd$%8}pX1-ZJkH*qy5<AuB<uJ6q1$CoTrKr?%ZDYxvlXDLr)3#QRz+NF5
zmpL5(6%ZH#=+^xt>u1gc<9sggZN2&VRo@&ZJBb3`;@Jx=!EsgN$K)AZGncK8H?jAq
zN6BEQ=H}k!S9|8T&+?1Ivr<!6XgaI62wzTX8+0Ur^3$K7{R0}ZF2ZcBAJkTem8JAu
zJfS2n@3_hfJYMx}H7|a_Qac;V3||6^=kQL}tEnV@<=xs6U4^{_&)(3T{uF728=4Bc
zb+49)#yF}CF1V;TVpHEg3K{OG^e^P8s2S}U@*X`BQhVqEA2%O&@yhpGtKxOS48og9
z+$)MJo~jOwL?-)SY6L_EQGSl!AUYS$ITzVc<rY<F_0FJkg@1?edS`diblg>Ob_(6P
zVlQ?_pa<(-wVPvpOl9SpxgPhLDAnfx<G$cI@=4>gzKFB@zN@?WwY6QRqB_!8jo;H{
zR4<EIOxe$s%X%HAV(5^HX_%`R3$hOqH_a}j(z;c3+pp+*aSJx5ZzcS(vpN4hrGh9!
zSgoJ`$8f_nRn~F*UgVVimjRXWTeS?Gyjs$8A1CkGZ96v9gOJ!Iv8U2t;F^?(jp)Q~
z>SzqljlRj8;+jQp?5lzuJQDh&E7*eWvqy4KkxiQKoLB*0>KTtdj}76CO+M3!mx=ek
zM#esU4<b7H8S(7`Puc9}FTxo;yj&k{S`s}P7hl)x=AF+q+>z!@G2Hst^s#yaot-u3
zoQu(H<_@MyRZ!@8yhbIgbli7};Ap<$V`TZgc4+8!&2UMMbpLuG-}&M#t8?axyb*?<
zi`4z924pq?T9G&knt><owrjwTo(Js%xqIt@E_228S?M`#EHQRFLo3&bualqWRzFeV
zbwIr3(@*RS?iu=tNZcHfG0^kK>V>Usw1W*T4vreK+`K2NFkeMb4ddsIenG#<Voa<&
zdqmP@u5`C@_o02M-j!5?7quqVovSOGNqV83hv?EMnW6;pqSol}W(Sv-KTo|mKX8_j
zxgHd@V#zI<+~hyLh%N1`ra$)Jc*Mn6akCP$2bH}r*?kl-L?id{6E0GO-Pr1u=gSuu
zjD&0EZbP!m$^FFWg*3_w754SY6%zQ}3(xBa){k6@O74Cy3CH+9`_5s>_|v9<$!`FB
z@zF1s;WSK~M*DU_8GC^2w6>{{9powf`PrX#41u9Rs&{y`gU<mjay+npIag%9;qggb
z@|@l1_4ofGhzkH`)@*VLg>ZlqKA9^Y(QIv4Qumvn_=#QsWnBw=%x(peKo6>_>Rq1G
zC3<#5&!)eRoBRwJC`89Tl{NR`3M)L3T}4;(WcB;RwxduXvcNyZcR0X*r$(N(w$V)7
zLhz2xW-I8gdF4ntGKsPOf!P!JU@?skul|UYzi2|%k;A~hv*aH2`N4WrAw0@U=U%Ug
zonZP=*a7ue_y|1SNnsxYqR-L-=J0!s&(;eY6^g@PSB}vgTd4|-EE(Bhe($_~^%(*J
zBnYjVpg0(oV8y_!dvi6M`uh6XZC;j8%aNfI@81mxsoxSO2(b>z)VaYXYo;$VfwI~v
zoU^HUd1)Dsk4m34Ru(R1Wv?wsaILR7@_349{5q>EOrbVBJUrhz?iI~KF~axR_^#oF
zhR!W<ipfhLsfiB&4AL6)^Lm<vCkQpQ&aZph$~y#w0MC`CR$T4wCq}zS&-(AQxn)KK
z|Dnkf;!>=-u=6_tf`YPHQvFh_AK^uHpPQ|NK$A==Ma&D6F$xfEL;&gLHdBv;d$Z+P
z)<5E1ooQF*B?$4KTdDfGT<bLylSV1jO}+!lR}IoA0wcLb|E(*~7A)v?X)b)AE98-2
zzI9`tioO9Pc;ZdRMc5*}`&x{fv%)gp&^V>&aIbQ$87{-=O2?Hc#_8#k({EP`q0nLS
z=f3;H0f;KNbJ*;scI2nJDLO$&<Fq|=T&hk6^yO0-P*mJUloAux`<U=0lMXwCw@DVI
zOhcJC?}EKB!|JVh7N14c(#Cga5_dHeVY+2n8Y{*XZ~7kDTsQS1A}v+i>%!y-m^^Ep
zOx}x;Ggshn&m6m`U4Cj#L!TD@$Jce%-c=aLx-#WTM1Qt(aE0GJjo1wK=d?Xviqau5
z(AO@q!e_?Fx}JB<t6<k@k0>8*KoaAgAz)zRNgKwyNUq7o=a#tI%0ITf`JHRLrCEW%
zs3TXq`b0(UJha39ih<($qvlXk9C6qZ9je*7$&L9!u=&xR`rIevPl5R9-af8zteK0Z
zgkpi>SG!)Hpn@6Dt9;GDih9K5H1*$`BR=k2ewq>}BPFq1?LKFM#t~no^Zr^agRJ5z
zTZXC-f#i@E5azqJkAheiV7QgmLu}qRM?xV8ki;bq$CBLxdE34*GXs3)HFBnn81BiM
zXFJ`qv$Ym*HJ-blxgZp9D{Z!5xuugrfFRxHkCgZMH5XxEyax0Z_64QYvj!5-!>rWq
z;HZ&3GRT2lJr{!w5Jijiz6gb@j96TMmwJTp45dE4xYQ7dY^b&YCKUloHjGeFm#Iss
z+pM0ZU826|w3R>P+aQytkGzn1`gt}`7L)3NATDZ{^^g}9q~bD6;%1*#OV%J+Vpg9{
zR3FjC7q4}cI}t(Ou+jtuBO*HNEiES#WC9Y0LYtbJ`U=fut94FZW8H;$E-iNi-{i95
z`s!yDqwYr-uzY7PPUHFIn}5T|x*;(x5G4z|4|6%SGZA`@#5>=sRCs1!xwRC!UbWn+
z1?h3EEEQE;n~4N8@C?DG^TrL`>00xGj)Hqv?x|Z?T4va0&+06n3Py;*D_;641{~8I
zZRf+GQB=f)LnEan*d^)4@P~2ug@MRjWBOaV6aKqxhXIf&1V9Ei5>1J=Ao~<8UOBVy
z<qq48TN0xb_}r$>RAsHrZe-<Uod0Q`fFVy@4lZo9Wp1m!Z_V<if$`wp+8A$iB?sGx
z6xuG?km}iep3@^V=;H$1-CbF-B1v}YJsOzZ=jduD)d^CVBP~cWgE6$HseRDx#*MqP
z!+Sn*l^Gcsy@T$?AKnZ3<>X>JZehpJ^{sjuhIBQd+$8P_z+N(%rOdZ^;=@~G6>58&
zKteplXq~`KLJWriJV*J#-z<`(K_kAZWZS&i?_{sqy({p<v%o@*o^4@u&__IttF}z=
zFd7W=Uh`jbFZB9RQ?9dqe)m_^cbArRXLBCYZfs9(@kApecFBeX9~-1G)i>9E8OX;U
z!naTFwj>|@Txi~E93pP^$a!nF^f*2Js<%6+3F?*Dyzc+_>63nug=#BfGT^=^${~}b
z<By6^h(LtpYqw79WacaLLNbwWnTvGjZ~K*lwG~rmRqD^h))AyxR@3hp?Psn+cnvBD
z52z#@Vzu4sd%C*^UGcWG=WkuYuYts4A}J&@IxI{E;;O59gH;t6&9#qCL*M8R2q(z@
z5>9^PGoSNEUz^9ap8zcoHG4brvfhuvn7&BvElWl%T|aJc)o0VW(gzeXxwLYN3~leU
zVE92nYHy(A__Bb20A>~gEujP82$2Yvt9|@pyh@%Igu1E4%STb-zUT>Nm@1f4l8t$J
z$mgQNNFB6g7y}(}={1;~WZI!>=s9)y?n6FEsi1EQ(Q!Ju*VT%Oim3>QT?nYYH7Ekd
zENG>43~|6#se1iks{)KR=3cbl873L<7>`jFTWr|gSXK=ARl1E14gC_e*rp19p^73z
z1!;v}{=rqW<$@?`aMG2vO$Iv1Eq3qQhgp1Sl<QbalsTgbX;Df%3OGW!+5<;;fEUgJ
zjxn0rRq5n0Ximm1=<K?x+d@G4ZhUwBTwGk7`iUZsKViR~D_84yXx#Zn)OVKxT$+Ct
zg5`y#(Yq&fW;UKGnn+|UQ`-G}ZZ+We)<KN;)6B4NA0gYiz9_vnK?HkzbR85U?P6g$
zYY@D|_Eznl*ZffRY_Ae|a|ExTiy1C@GP}xe&v&_-KH3Ygh=^O@#+SdRfELC544?`$
z{;V!_C)hte<_@Y!^~!rV(fNn=Ge%FDy;DlhWZWOx^cwOQ?=zRc4|owK+Mhfj8~^5T
zIOm<8ma0@cj!ksbZ)g>lzFV|k`7Aruc7()}x3szG*B~{34}kH1VW9G8lzYD@YY&=g
zraD10!>n}}q5F_gc#GoOp{cdULjYC8ad>`>Lr#aVt4v%wPFzq}n5GnyY2KBRy0nKf
zC`uB6J*GV|==X^@iD$e2Th@4-Yq!U{@s;MOh_V_7Gmt2j0yEmJ@g+!9z{s+mWS_R3
zx{Pa;*vjr(pSAb%S{QkAnoh)>G%wZrR~a{88%VBZwcolW9|y_qj@+*c%SAD7VB*5&
zLt`WDjvc>3G?PL8wHL=h6v8B`S^J8Ui_6;1Zgu+7gdpq<HOD9JXh}z3)jRo4Wygcd
z*WW24*VmgvVi*s|+MiQwv?OT3A@|Xpwc%csVpbjOLb0*$+Mt^)q~_}rE`k|b;Z5=j
zd*2OruYW(nD4-8&T%b@~7$8LMx`m4oUD+H46vH{tWoe~1UQZ=iWQwH&Xr*9TZW4r&
z>bA={exU#7=FO+aMPyjEc@T$Ix9F1h-q4g;%)C3l<LkSy{6ORIp*1Fb{Ywg5Lb;ft
z5u@*Kctd;`PLbUJ1q@X%#V6|@dgFzZ5x8sfEACFYdrnR<(6Z`${;OB3mYSaMZoK~W
zE&wjG`Srz7+qNSaapB=9ZcG^k5}0)+5$6f7`ReiP<&E(;>yrxPS7I2e)nbJ`U&+E2
z?#q)`*GntEK%gk1;m1Qy!=*;PD;p{(E9zC64~_?vL@rLPB|J?Xj>f$3oI*LmM_9L+
zjDkq6X`w{p6Q|{^NurOXXJoX$T$=Y?6TNO&sIm7Z=WSCsm$K$m_f0hnC}bx)Jxy!U
zC9byEOnm4j@3YYFIrA{84S>{0icdRr;t{}C-ep%ARN3j0Rqg|=N|Td88Y>!{-%R7Y
zYmH_^5X~g4&rLx1JzE)1(I^A+tXdx485|a0{cN17j5)`{!J%Dh7vnS44ID*FE+}y$
zLmsTE^w##%af|Kl61!Oo6SM>yC!>5j_au3C4m11FvCoafJfb*NWsM8;;f)^-7&G~1
zaiX${5DObF1S6L)wz{Jeb^2C^PP#$Gd8|8<<rxL-uA0{X%_H2sqev2kZK{{t{zBE8
zt>Xm7?px?U*}JoJ&{c0>Yhv}`CiX}ULX(Ued!g6hO}?+-3*QVweeLLo7;GAn#%B<D
zcFIKyRopfhJ}LzN%K7~DtBgH9k(HNfX_RrPE3Fv#(7n5=&iY$#K7#hhaR4jh3_%mQ
zExO!k{Mm`iXCx*4aM8jbAgqtF?4^UrbsoQIy<r7q<=QcfHM8&f9ozQYtlSE#ws<Kd
zbK7J25gp{*Ss$5rMwrQnUA!X+%#psWGtVq2`i^o%vWcUjOz@9MT?f#U?MiyR7(#kg
zKp<B;|1IVEXozx+>7A9SZcnrDz7$J6y|n7L-L@=+T2xPWzw`Q8HhCWFndvLkK;{{t
z#~y-rJ!EEP`hpVv-jr5thfLuuCSO2RixGdQTkIOsCvldEPb^6+Ne~cCTCqI2IT2H*
zob99U284M~*VPAAF9T^+ZUhWeI``H?_D(p~QHc{&8fIhcyg`^{aUX$JANtr;HTq1H
zKz2BMYh~K)ue$oHuue~FTEGwiD8ujr%J7g@l{yvgQq1r<Y}b(%-e^79VgDhV7VAAW
zYF^Pr624E&!!G$9rVcExd&*n0{?u^$ZR}XZbZ+Mpi>;McdUh8sTxh=;S#+K6)9}{N
z+EvwTt;>C6Ll-9IhC2#k7RwK73wln5&>J{W<+<&`;0f#|Bdq$S?<cI$MB#@CX_rbD
zf=-(Uah{6l-~#W;m=9Q6IhV3b(g13ur|cbZ<2q>7q#H55o0D^uX^-!=^i^a?g3dqC
z*D&8#C>sve^R;rWqS@o+9DMhqvTx!*Rw>+iOL#nb^bLcN_|_C?&o|zg;c8BFvD-}Q
zoTO{;BrA%oO}S*Vb{oN(3N}1)sY3|3524!zsjfw*D%>>Zn<|>pi{#lrnTQ$`cMv>R
z>u2;4yypt$&rMaiVv&u{m@0w86G?v!x?xu-8LnItT(jz1HjOYyl@*`XX*(@D>Cq0h
zy?Sj()c8Gx26<o90v5AmaJ%5F>Yxe*Qoq1`HL{PL`AvBGGlwAv>2oxZb3Q}nI5A;i
z{EkPx+e=%wRcH5I5}zFFY_=T{9l$63p01{ridT-4;H}**==<V*FZ@T7z$`A<-{1e{
ztBaFHR&I5_Is|BN5oL;`w`$GWWUaY0?esD-jK<KkYo)9X=5xqHJ+<_SJl$<=)GGp(
z)X-WI@Hz%T5HL{^L=vJ4lTTW;UTQ>KplUrOZhdR-@=0kq&ei7l2{71xRudos(A_>~
z3|0IFT8ag|Aq=*03$skghH8CLYdcfov|o%L@6nqY<-9>&-5Fbt!|)x_jL%{yE1RX&
z<~j5Xl=Lxr7)H!g_tHZ&?MhmH#$|5)mW#<9UMRy|!a6p=*wL#08tCVwv+$whKA<ua
z5vO9^=oYJJ1g*G>Hfi@;djdmIAM14A++oHuCl$7VZq_39`0KckS7MuXla-BDAsI@Z
zx)mMvYEGSxcm=n|s%1H+%eP9!g-ZZxs07J&>CJjdICUFeoVb6y`Q6}8yi4j46Sq3Z
zon4rPCZ$fW0uP`vV6eDxZ-=4H3#EC@`fF)+YIcf0yJX{rh=U0Hg)9)mex}4q?Sg*N
zzm#6u7j|gn(p2mzTs{eCN2B=Bj#dFXoJDz~R7w{#s2Y)h?&iqe7*)0rh4`ZEE{$q;
zjWdwOo0#Q?WO?)=>JR6C;HP!a96HlFeFIAq_!NbF&ls^>CjPj0bF^f*>n0iWio<RF
z8;1@i7pR?qcDC&uy5xI+e<ENeM*F$hK`%*NA#jSV$de)mbv)3YapfQV8Sz{oPUKps
z9^cOmL5^uMQnyD3`Egz&IFH3ptm0sL0lXFAii7lL;R`=9PH})^*9M-`AD}H5JK_-K
zz&Z1}gH_A#cfS1~sjAr91heKptG%b3;^ScFThpFxAN*b^$TBcfZP&pDui!PhvH(z1
zb5j$buPcYCWq&p+0L}o+8@w13BZ140%+T=hNUVJQRCG&p!pUo;UoU?xzql4_on6Ry
zfpx?U8il4}68W~4-{$uN``u>+(P-bR1cExsAp-Lyw{88D;iO{Oo34HfUt*~=RHz<}
z9Wl6Mc}KtU?MLdsYM?$kIy#`^B43ixd>=i6he9)xULqP`lb{5QjsqIN4a1F@?@~U8
zdH1$mM2EdPb%vQWgsg1#@+~tg6<ZX)$mSD6_sBSilw(ASOG<ibW#Y$wY~k<He3;?L
zT<wnDJVk+tvb>zR#Nb{A%)wLFbN<tinY2(c%n-0as4ICAHO#OWS<v+dI7-ownV{><
z?N(~yL7Hks;KczoAkW|WdZk?+@O38yyxqsck7~(G$GI#mVeWO<f8~Lh?-w_|a;vDT
z%xpmPPuU;C1wde=`wbm0<HFdU&%kyHwvJ4Sek+m+J5TjGJ3n`LOSK>*a`7N1h(7kA
z^`qp*yRdWfYi(gR&SX%Q{TDoVFHVTSn2&!@YONW6%ko(%ckAw;9)7sM@JG|)*=iL1
z2`>*iXQb=U%LKI-yPTI0aB2s#g<}?Jhd}RkU@AgEq3KQ2gVmk%&5$6=`qb;o@FFm%
z12}TqUo4Z4zR+toTKCnjppowGIWQHGZDI*j((0rYGjhj|Ad#%<pTv8@1#L$Z>(;*w
zbZ8~g!r_PRor%Yz%%8=s^sH(i8L^%zH6A%y1VDP-<=(%Hza<Mgp1e!2+g@V5&xtXX
zpE_wPgtUTWbiY*xc0QgCp%4{&vZ&(Q_Y6yAopuKJi(4p$1K@NR8bWp|L%5@(Bk_8B
z8bRV+l0mZG!Jg*RTp~|+O8!*SRxf-ZKzcgX<htRQud!2xB^{In3?leAgif4+)zF@J
zC3p)fDx&H3Y1LbM$RWkhM_k|MgI)3g!2;S2eo{v(3RPgZZS?iSmAtI4Z@*T}c>6mf
z+B@tvUA_%J1EM@zK_2M0ui(Ap)6f?YQd?D$zxuru*?-UBri@yB;C3irvQ?e}806?K
zyB0MjcVGmP<QAOk4b}lw#b^3k(+OZ&tKvK;d18(i1BOuz{pkJX*sHPVplEEIZ}3sz
z8r3}e7yY`oO&bkYwdUrFh<~(<9^`$j)a1aoTvWHDMI*?w_wH5Ct;h6v256{SDP+pm
z>MpE~^#}^g;ZIncJQVVqjD4;G&XL{_7KX`l=4E;J8nf&o!|I5I{VP^Vvp4gQk6$Jm
zn`$3O(|}sL*3CzH4l0m^U0E=ngU-F}PUM7r1U;%s@3WdBsTUrhr0o^!j}J|dS07lX
zTpo(qyV!ZO<4OOM^)(sxZWeLZn~Qo>4S=dVeOYK%3(a?Cga)v|vOI85z5Ky?fre8A
zFT&G$i<6f^S$@6zNNez<q}iKff8+#}53qM3pz5O(xXA;h+IIj(q*ZyA8L7x>zOkkX
zg-(_$d2T#p;!>=3unb30TK3=FLDVD|l%|9i=Z@~4Z9r*;{VEq=GDtvmT!{5J=FU%t
z28@up?dv!^y8GP)eyVJ*7Y6FdpeT7Z92}Ox!~Wp+tX>sc`~^*M&nD3w(n)!ISiXXc
zz!Dhpc%cVk%s_8M`;X)uXb>qa2lukwCO^lJer!x0`TNH-Bq(q($nn>wf8X=*eq)Vt
zgJq?IQuWI+^5P7T9PI+fy|s7p%I~(ex-eLZX-e!&??)vXl(MdhH0ucv5{&fC!E|6L
z{0Z5U3K#us$|YUDyZlQ12SteM2*Ey2Z;qk)ghuEjGf;GJ#eD_>{*@g#o>R49<w9W~
zNF_F_|9&j$h3BBeEpz-qF6#(CdOO-%*(IZ_O^>f5_H6>+4@bGLY%xIHMb9O|U~lLm
zuQ)&1bvN18-2=>mY%cMijr8UOx&5Sn5}u?%-e_z>$5BMhJWU6<b90T)e>4z<kOhzN
z%=t5LfIm|y(R3=LUPz1st;m4|9{gz20E(*hE<FUaz85X5Zyg_qNiS~G-PqpGeCQ<)
z&taK}ein>@OJRM^{6N6+DA*50L?Koeoqa5G?cAK$?TY0OxX5Rhctx>gc|yFRhRW4v
zHs8O*>{q>hM3X<WHsVKxE|boLSKjx!dIAI&@ZSrM5mpLQAGSkfHjglUb~ExZ-ieT1
zvlFi>F39a*A54n^j*=T_b7}73>OTU_gH`i+8H#@Ir`ceerKfx88@D|nf9}rsjr~F&
zz=(4{OLM<g;7*>LoIK!(vpv5vcVW1C?x{;aCS?Y#Pr>GZ*v{CeqEGH_fy<{+s6Eh-
zzq-e70{^uuh%018MMW=Xc8yjepT6>|+1@d*{zT0yyz;{7X=}4wGY8M9;_oA4CZ`0A
zr6K4OU<Zu@Z+4QLeT`!F)6gy9lc0LjVO&a(bz@ql&OW=P*Rb!m!7yHx-sap?Ojh{A
zSyjwoO-N5~=mr}}-79}kq%H%s)5?d5Ct+y%w)!|w*}K|9<yX=G`tJa2&l#>nVx>BW
z(mhD?-X-jBB3!ZVwJ-lF<`E{I^b!(8oJ7bPM3yEjm0C^-s<<IRh}dH)B{1GkU*_S_
z$v%6kAO?`);KVn_0P#}9upawF{LL|=E<lvi0%cGp2+^YvBw%{@#b-z6oE+_P+Z3||
zTKo~*kOms?(jgL?6QJroGlh0cH`LTDF>Ap922hf6{K?*h{r=XJS*Hn=>CyYr68+k$
zsx((p=x;Y}fMHJpcsCi2`z4KBJPP?ZS?_)~y5fDsY(Ob{9((jjDBPQ~?x;l^Qm7&r
z5e<L!^5V13*CJxUSMqv{crm_C0mYvu>Cj2CAv^{ZUDt*INj~J<sc7e!`cgx!b0<6)
z;1>@MkC<4wG<PtKN{7-=ql#qWGrI+*{Y1qxN6A1}J|GjBdfSI)W@f<K0?msJDqUa4
z3JF$Rxak5qe{mQqtHBDF^78Tsr03*vt0XostD4X3lhAzCvhNmtn37RoCWsHm!O7Y2
zym;+HC>xmM1fv(#>tCP71V4;mWMp)?0A69JBsyE<gcD91*Zh)ZL=H1J+D4m4c8}co
zLzLcdx_#z+NB+TN<yiz|3=0K7or^kP+@RQNE{|!y=os{gmkeKjsFjp3H>lTHo2uuv
zHrIXZuA`%4TD5+)XR%q3Xig83_*?~`W(4_*!@?DXg@vCqrP8$AuK|;^T82I@UbcXO
zz18jP=;iW~V%UB3h#+m|@_4J3skta4UINF>)4V?+1JW}yE<h)4ePoZjYRImL=^7ZY
zaeJ&@tFxXxn-mIWR&Gyfd4+$L=_nI#&{+pfF(6qlx-PD$tX#@&P+;;A)D5HgWtvWl
zQ}i`!!7JD=`K%M1p6n_#&Ryi%F<Lu3X#Fq=!08d-fq+37t&=#PjW?HYD-xaCa%R5-
z6`GrxjdkeG)WEpd*q1uB&&2I*kNfUyUe6YG{Ms<tnI=2X-5sppEZ}c7bbC1((5p0z
zj=4>mbz3|0ek}PI0VHVe2eU{`3pg2RPV0N!v4SRA12vQ^65B7;lrEFU#!Oe7TL4qZ
zQFa!&TU~0(gXPQL_R?j>p0lm40>14kp5MiLwa*+cf}6G$Jji`V4+TYuez_O(6)<UO
zy^>6wPVGV<K7mrJ&|_X685vM;qAMP%n0<vud3jz>@~k?4R5Z{Zr>0Tt6Rl^XbJN3C
z_zAJ1?%e16dea9?LDDz<3<NsrtuQsa{k=6kj%-cQ*y>f?1`&lc-P!Gqo4l6uCARph
z&9<3+1bmuu99M3cG-J#Irb|YMhMt-C;$Ev9+fi6dB@c&%fm_pI^h1)MNy$|VUrhod
zYULS<y+;CxKe5rPM>@&K4q}oYC~5te*>R-f;N}XR-VhOGfR^zkeCzXTWO6GjPtYRr
z1%ntRc7rE7L%BGfu}C7*+Nx`GZESEU6GNr;hT$<gfEeVGq4%<WuR%K!<Eq@*J72S9
z*Vrvm)}n2l*CK6N46@4ocQRTk$ZPj$4+57(w*2P7VbNZ0E(+0FjLi94kwy`rc%F<<
zr&e*nyK6UsPB?B(rbQV{eaXVsoXkJTNHg)c?z5UwwQE!HWX7ayX2|w#{W;m`XRFEl
z&#ptzC;&l-c8{aJu(gGveA|cG=gQ`nb^X3ljttUHEz0qTrbPqxJojB`le&lrV4P{F
zx}1XeZBIFBeR#jxBaFAwtrxRsW95FL`2d$^#r5#m)p3S`8ZEc(sU$0fS}=FQa?9t4
z4%ZV6R|!j<kn#@wxux&TirO*aUL`R>M}%*#YmE=stPedawMZy1cr+WmSwcmp*48as
zShi^y^(68WKL;&}ZqQ}9Bty)!>E+wE(*9r&snO~}v8@!bZJd}#L0=-N6D*H5;GR1C
zJ=F<p`EXHJQR>)v@gu7H*st+8+tt#m%X{RiQmHim8e0Xe!h~;MbPCO0yVBK9;U&l_
z#*#i~h-HjRPdlwI+zI0@j?|>$nv3VEcu@MF+Mu7`lQ03suqRaCZ>`PuRu=#YvxfP8
zO2FCLWt?a#lYfQd==(kauvhy7HeJ56R#M6?B>|;^)+h5@l(Zf+cQcf*33M#pFd#SZ
ze>NRiO}6l4F*REjGr4J{GL4t0umwwKR#fYf0>$`F*;`th8f=>$%YDO+C9c`4pKGgk
z;+@DrX7lf<^9g-KmV=<p=lJJlX=g-*Zt%{uv-$52+*3|nbL@RW$3-}6&aZv@c4Fh{
z>2^)d>HPO&$ENc5AhL^9b5R{ti^RwE+Z=sNd$o`r=kCVb<SD<F1cILn-CHh;0)t?#
z)oCrr7q1w-t83P&ek%|8c1qsP+#c;OyZ2pTStH~~l(18(xWaUnZJ}eOX@6{tG&P)a
z8gD>x8;RePbCLk@?q6>PK$t+eulKyP|K@W?FWk2{T05kDYNT8tlh!pFe}v4&ld~Wr
zhreR%o#a^7P%8m=5MdSzo8c!WoD(>tSN7zCf)t$&8()l-u3ApW{j81t`Z%kN$+XHn
zb-n6#t*jV+H>P~XsoEa7>F`>dMvv}PcH`YiyDwm7zvq-o3xBW0BYif|gi45l;k)qm
zwK*fUytxHMPUp&(@+3;YIC&yZp7UrNfqkk4G;@={HRHGTJZQA996DekMs6TzLz-S;
zXa%q-EuTJJ?aT1n+ij{I18;&9#g+E@u2l}(&bP?pWcs<LaroNZ=~@A=@Xb`ks8ms{
zmFFhQu6M<06q-F}^QR)Yv*H=uRvhixJtt+EJsQfdn}!L1smh|7{_>laog4g=rvBr_
z*1c0`4S}Rbaq7!Op7)D#{Rhv{59ZHQwd+pyZu77vGjUIq$R1(1(y&oUR2lQL$Ichj
zAhy0MwC}%<vQ7^sFzJ6yr=<+(Ht6!?_Id3oJ0zb>x)oFHQm=4rrpJEi&H8li)@3e(
zsI=R{RP9M2{OAm=6)UEBMZv*j9nI@C`-6TG>^k8xW~i6|H(l35a%z3AnMGq*dcukb
zCSyviN0D!Es@4%^)-fvktfsSRLGDm+^2;m+gPl(wJ~$jQ+TlUC9m7XG;m@#UA~f*k
zs8UI0JW7%uecsH34CelU_S|&<-}F68W|(>*9|7|DAE0zLrf*B7`;9oA;S2|UZgjD2
z<q|YXOXhCuE0(A=qStIQ#?Qkk_#3V5E+4VZc6p%K#hIm;lOf^$f9U$^sI0axT1qJe
zY3c5k?vie4knZko5fG%iLlC69QxK6x>F!SH5P17j@4dhA-gy5x<ecxEefHif=3Hy;
zV}mbgXj~yeC|-asmFXxhZEOL}w>3bGA_U(~i9=o_UFVHFA5th9{{EtbIhW{Wl5J4<
z(1qm>H{(mBrK_)8XV#A*$N3kv>?wY{+FH85XyDwtpU}Tc+?+e-dk1(Digiq{;hM!W
zYtCJf8Mlf8&-0f|v^$0iX`1!Xagzdb!^^h2duT>C8*ga$hzv4k>%~Cp1th^k1yQPi
zhw?T$Ogj#@^LDC+LWX(PoF#mX+ej$0??oKj`m`?QFB$_4hS2%alI;y2){05gx$isD
zU2bX0_=%AmT-KMo#JQO0#kQGDST51!WS=76G^48PY=W*|iGAmE)yV|c-l1LADKK&s
zLIIpz006TkVij_D?h!=I96sq>@s=n2&NGFT9=UK^q%W2dHY0Smqlok=Ja2^mG(u~q
zjB?1!H#TiTHUd}x*vc$;v!(F$jCYd+6=nmjIqK?jXC)dmmXw|z)O9KIOzQ4>pO4dQ
z{$vN8$N;xve*NesK=>7+96qP*qU9+^{_f2#p(!6`Q11nCdRCI4?Uk0=`2>AKTdHc_
z(_;gh$|r~=UYb9F=fXjwTJNbLmxvfmC@m|xRh8GO`GPbNZsKP3eR3y9>Gf-ZY7JS>
zIwH->cDuQH`Ihk!wqfq>amUBY$67-%ZV4X_yaQ~Z)CX3MpeF-4U(w;#;{=G!9$jmE
zw0orbRL1?nYNyds$rQs2>vjU8?Lm6136L|RCKaCfHO_>Mr(9^84t05jp!WPQEvZwI
z*f(Dv+TwMZ+M#E*<)7ID!2l3@=o*$rlQM%2Ui9s~_;@CB-Q7$bH9<J0<jm%D)P9^5
zQ5&HGpCJRKkY;UvTCBT1-<><tCo$AW_no%Ja<^L6*2=PqckQ)lS<kdrW7VsY!=Q=z
z3hc{b5e~bpk62qDCj9G4i*(b4>iinphOI5MKiOOqvw8U@sMA`LX>+ZnEm2uW*T@&j
zq{D<wgPIY8f(rM8SyO#$8*3}4=_X}XJ<Q!iUdts*6FO@ojj^5!VXW~$(E2`ej+gf8
z9#B3ObTo8)u$4v^y~O@DZZm2>hYSAJiZ0WFT(6J`K2wAQ7cOd?;Cjeg-_yj-RqT9H
zOotjJjr-FGNzZafL5Rt7^W|Ox*vbNUF_yDd$}Q}ze$B1&n7Xmy$L9qfVBt}?@g23m
zrs*h4D4|^fEhPf$F&(wOwcnW*)wNQuS3-$ViYz;J9Y@n%)ajFBCz#n1)|naqiX!A2
zuO<>Ry_{`;r+q)W6=<n_t~n=3s%{-Il;5y8X98Pkw|B5?s*Kix>6q8d>UCyOBinFw
zxX?1CKDJ+V`dwZ7x)pRww{Yd>4D&T?zo@%(Gx}413UW2j%?q_3i!8$ROv)*6_l7RA
z@?5BT?Jg>XB2<3-xb}XADG&v*Q(M_aUnHOQ<q*;?q3CA$I5h0zdC&unc3T>z<U7bT
z)K7;lQM&1rN7kTj6sn4{WJFinpzB??%9W3{rSZse$iKJ&8JmG+?jX(ZRE^O(gmbm5
zrk-%CtZ8L0M(sf8eoe^6)ZB2gR7+;c>^;i(T$te1GVH0^gV-2j|4ozS7}c%yBWIz?
zq8yg}C!J=24Yu>1LX``jmR?(2Xbu$GhS#^y{K3YS$-!hrGhyqBcUHh?qv)z?mM$I%
z)pz8k?&x>uNt$<Lj@6JtPphh|PRtj;q!3Y+&Y8*&j;UmFh~PQ)RkgXQhgyr<p~6<y
zl(5q6m34(*-Y|9s<LG&SV0D)PK+<?lU&eMCpl0dAW7=fCUGNOfnohEXj#ur)@J*NB
zW=~+?2XMfbH(AS*&)sippqgDbSia0%s4vJMa1v)1D($l>L)Y+k$*%uV7p2y8j-weX
zc)=XdT+DMUr8fPiuO~nQVC{NM=x4B?ITxTV{j_b0-=T!~j<wKH*_6b_1`7%8zl2KB
zlJ3RI7UvOcw3@0Ot$mOGl<@f6rdXD_ZJg=QRWMP8EyhcvyeU^T+HNxZwKLPgd`XMu
z>FMdYnuvDGnWkmpM9ywW4w6}Fl~KChg>{tE{rHS6)wmnu-3081@$p8-HL?)JF@d2o
zx@M4=&GE|(uv;u$mShw$?v{~N?bMt`6qH(Owh>zlrm%+hhbPy+alX;OceOs`0$L6i
zP6YyVMxUE3v}#&-GegX<vr9xy_pP0C3hILG@s+J6y8F&}DYrb;^gBWv(zdzqv=hrl
zzJy_9YH4E()H`M#0@a9GNI?q3J9GvC^NFg5+58rmPt0}9L7sE;r$rwMj9e|P$yVdx
zV1^NO%n7Q+RN(4Nx9I)PI;l6*OostX4C(OR%5={P>m7cK6)=?U%AWa&$7C*QQ(H0;
z&$PYxQM})|nk#02ZPFz6ki%?RLHmayqTo8eJFinUp>rPwMg>UYdV)Qc9oE|UAmf6A
zwSsL4t%M*@h!~zrIbc#@q5qU9bnv>ItQoz%CJpbq#>N)t?p|>0B{WOkv^iMI8^mr)
zaR+H7oB6N{k#`T4#&mjU=3M65#6>VNPCF2#khv;|3fm}PAV_b<>N(G%NMDqHv{24K
zz!q&=Zy}?_&`fh9AKKS;QDwL*_l4dLW&N*wH4y*}|40Y?VvNbm^6ehScV=@=*GWtE
zJt5o6zVqc#JkzsOitY0mqsYyI`B)wKPDaM-ZQ`r3u-&$Vz3}kxGZmd$U7k@mmL5?7
zHZ5pP<x$R0-tt4Q42R^b6ec7%>J02X)%avw(mFWUJ|Q)DttW0O9N=a?a+OooS{Y64
zKL5qoHmhN&!aAa=&JI$N$+W^uUe{vuoK!S5d4abxUxntXC+~`7!)L;8ybP){2NJ&~
zYUmZcwzV!cu>Vq55?rS|5{1;)H~Y!YZl<~i&TQ;W)(AnI>(E6^w)Q8V^9c?5Y9_5}
z3X|jl9}fQ#75bs}Unc`A#>#h~M_p&RzZ0*HDV%^k^k_fCmaTOJqQ&0z2!Nw*M3#3;
z?dC$e|J2B0gPi}5v|BAweqn+C>EPbYrCr<6Pf#N=tLOIXJb(L2SJ?B1U}e7?qgAmw
zTeI0~qztOPUB}Nd^|POzm1Nj(?v`NB&tBeaFRI!q2Ne|br|FK%m=S*9QA-c6(>;RM
zZgwfE-y6H=ER9DU`k|Mp8)@NM-oKeQSj1-4a*~h2Qw17xnm5k(^dFkh^AyrDGs}eS
zj4MT#C+nlB-ZD2X!?f*a1S+xppkk+cLLWtkPk)(~MbB2EF$^!0+S7gEk`|`s%g0k{
zX@2lyr*`(bW<+5T&A?wIr;QX*MN4&NqTNPIpq7}@-_-athA~qLMjP8s(H1!kd-Bl_
z^3sff4i1O5w^~QianVIZp(Z8S0D!@H@BFf!Q2CugaT-&7$I<9|Q+pckFxGPT>TLOv
zX-Wg-oCFP=e9otw=~L)NZVQ~?pJdM*02tT#0K?(~7@?S?G`EG+snn&?irIRr1Dsy_
zwTOvp3$7>_px97j&USS5-Na1lo9d%S20c<3A2B=6Xc*ddB<JLPI2cplQTQ~d6tnoX
zS`ub5-e=eKwChh1Jik|oeWf+fsx4i3bzb3bE0$JMjlK^gVeAg=2<I+XON#0^=RAq4
z;|{X#&#2qVG>+(h{IDo{uf9D|Rp2|eygN~XMPlnQDZ$8z{qE`M?1!Qqt|gx_g^#<J
zk7UBM-`e;S=J4WGQ$<ds6&T773}=&~4C~VEK@THc-<SqE`{~SKsZU@W{MdFOb-_BT
z>a}`*7^@yK<;fvb8a?yzW;cYY(^eh}b5?$HN^yvEFSygIsJblYl(%E{0IBoF!Yc#H
zM*fY~w-L)W%cTKgK-dj<ojrvX0)g$F$HX=pj2;e)a|htMlqEInd`}Mu(e7&&_l$G=
z4-jb7=u}cOn+a8`luYH@X5nAbl359=Fb{m!UIl^+>GL03-9i0`5U3U!_EzCQEQ%?3
zJR}=89yN(dZ(E#G_=<L%CqAFY7+&an*<#2)t<bP&V}PkePGxBLCJkodpl-$f=l9YA
zD&=$KUph5rKmkYQXmdhjH(zkLKu(L?wO|R7x^IZhe)K4Eo`E+7k?h0*Ugn3Q(=5GA
zarj-DQy+$*ODhGAU#|~rl~FkmOFNHBa|VlItuEBYmaUZ9UMV%auf@8r`!zS;TT*Vd
za|MAbD~qucG+cAOew<6;fYX)q9b`t%I8Xt)fdPI`cQ@2VK}U+0T;A=95@<{Zm0M81
zE4LuH`o|^wf<>j*(`oNz-25vYmm~z>2i&TfbDPV5((frBFd?-+QwnbZ@FK@fVXfz8
zsyW?o(OiE?_^ULM39)?4Ff~qNWi7Vwv=vqP4Y?uS-4d<%(sv(IHR}q}`oC&tmQXgP
zjj-#Czp?u{A>li*Uor``mxo>JrcJCes_0uAqghjG^)kNCOSX)s!mqdpD2C7t?Y`X2
zdXa0UFK=&~8S}=B`&{{n`h_~xl<`M7bJ60N3a|6>SMJi%VWOp9jnsqE+w^Z|r)r@z
z*-Ff?wUJY>R5(&?l7vgDL-H(&JB#q$hvdh3N8uDqmG35noy&M%cfgEFMq13&2vjgi
zNmEaRJGNnHa$U-ZiRjK=kg8QTugA%%>I-o&-EE3qDg*tK>tRnD*Bwx63$c<Mz2!J~
zbM!_ds|+;F^r(Es9nSV1THQ~Uz9k7GTKKsFkxN+_K-XO&banMTG_<in$CuEZa?M=2
znCpL&Ku709loclTo<>6qhxrh|V3(KYZ~k?|(Z$R~LeiWd^E+;+GJGh_VR#@^KiP5@
zdRNw4sF^;ZIG2mzd;fSb1tv8BWM`Ha>!=<1o?tEsT=H%CY_-YrcH9iVprnj_9s)<9
z^aAGKDziU>-EYP5Cw{E{51*5{g!le5$I>*<Uq9!D&olWs6ALb*fHA}+tzqr%>97#G
zY#Q-BFVTPMkNUO)`hF+S-$wkXdpBgkVK-7<&4j+xJc%$vcrHOlWg}bY2>GQ#?OS=H
zgPQESeU0`LtPdMU<qiiAdsa(J8hSlcoiMs@v707G(N>Y5)ujqoB$>k3H6O9|$-b-!
zMz2n;P4#uNJ41b3c6Wc-A$dhg#YR*m#I}p(nx?$C&uEMOq`yf^(GT<cDZ>8oUbWUk
zJ}j2BBz2v|iRF8nE(3Q~b&f4WSm;4y89&LG@8T==EO{Rq(529?dT%?v9N-K;w3v`0
z8{Stg$C^mv?XyW{2Xl|SqcH!4E4U~l3{yn*jMD0=m$B-nHR~^Dv><<`5P$X)+ZQ;<
z)q_xlyXUwOaK+ie-Su1qs491`<%?(`eIt%OkBaqwb!%W%8L^AHu`eFVo)bOmu40+X
z;TXmkW-6pu6VA&J<UzKqd3G+V3uit&^PMMsh~_1yc|z??5=-^Dzl1eK1DnhXJ7oVL
zT&%W4;TpIu_BB;Y1JQo<jv<tn@Q6}5NC-3mCCik&aESTuJAXWt?dICvK^m~2Ab|#d
zl!NPfxvlIg8HdDlTQFKGEpbyV;F@YMT?S^+3<hcWMF&(%asb@#i-lq8grSB!XR6K-
z3<_Wv^*TN!$fOLFOPmv`P1O;hm7kRb6La>`1oFdSc6u&fNx`7U{Jk@02q6YZ&|zO`
zb9Ih$uR8?tbL&8{ESjDfQA+r~>mdIWp1@Fo(zv5{3;6f;zgJX72f$2c!~WlQd_sgN
zhb|AB+9#oe4C(i8;34og{A#MUd4rWi?0gfOZt!uXxAQrLk_2Q(T@BX%{)Q4g-1N2Q
zY^fza9#?{2r%ONaMW%#b4f$EZS^-Uv>;v|`G7K$g4wORQdzL5v-Bkz24Sj`*OeEcX
ztkl)vw=!jX6WO#sO>6nC_c;YgAUYUA^7F<8>3_x+I7{ZRwQrfPH^#O(G{+U{G2Xf3
zNh?7X7>DM7Q5u(9PmZWc6d3C(Q9!p{+Y?X6{g@mKg(MR$<vN4z9G`YbpD%lQwG6Ta
z$-&p<IQc+W0H-ZRVk?{f16$ELMOzZ`<s#7xPMmoq<%m)^`gS6QK7lt`MRP!M`8hpX
z4M&#+<!x4A^(616fSx>)jvEVY5V%?Q{b`X;ZC>Z#e5?W7Q-I@vylt$*|6#Gsd&^~c
z=jME`I}ZT98)tp`jfUMJK<n&LHXu1#K?VHvo$R#>$S2-oGtSnSqh>;mY@$UdLkYXk
zD1VJx%y!IapPd9$m6||v*Qj_hlkRN8WyytlN4eD}sqn<I!dHB8cYMZ-Cvy|y?If`A
z!mMDOz89I`q*S7W<7OfgP?<`380=8K+VW29EbB9zcVF@a<>}_zzPA@`K!?lu1tgCn
z@;y@~%FSc~P%zNBGjEhn=d=Y}Tki2#_Pxv3F;P3^l#bhlqc>Yv8n0Q+22(_>Hh#`D
zyY7LE`jq>vBp~Vz#*0)!bi~A9#fZ2amVpY|P~IbC>|da46iE=GP!&d<m9nxlegJ5O
zG(s_BV{(1=C%7*tCPmZkk3)r?G(5>z>6Mf=23XW1&`K0O9Mjm^PMzgJR_it<&vg!D
z^=7Kw%Fr}xnc8-_T9FIP=>x0}dVl<!<c5Ca5cvSb?SsfJwmkUV{G-W1l1?J~X))cd
z<2Q%RC!Q-^!MQ%5m4hO@#uo|GY_8rmUC7_h%~d9eQ3rbfhgmPeyj33WOweh)T^b%#
zDmtmUNQW8_I}fsUfYu7+uwB3e_3+GeG5h^|&$5U@$b0+|A{mNgNj)Q4d(^mwvTg_N
z2Mo^qjCuA#o3}es{5soP>(Uos&iIa6*%mjs1djtzAqu@6(TdioogrUC5>T_n!c>TI
zSHQ})l@*4bujjXwhnbKF&>EeRZ?)SUEZQJ^&YEv4=;j%i&~ORh-ME)SxUfd(JnU}!
znkNlBgeN#;E30q|00<#NIKAESl+iv1s$F74p~n`RgQ@b@1fJ`$B2e*ldR0c^Dt2-o
z?CPu{YbvA{7kw`m0L<d6(ncV2U8+?R@)X|<u(4xOub}dpojK<|tUS90s!yVPLGY+V
ztVS<~IT=f}VBSwM%3M!lb<+Bagir@^Qs+R~Ip=fI1X_`I&R2Hu->qdVX(p+%uw_@I
zYhtP?*&Y?WUGv;6D$Me|nBgb<P%3!;GumA7a!7@epNtrP0w>;8-(w|MNr5wEQX-m2
zS3kSlb!RAwrlT9^kPXCWT|~?QEI9;^8a1OshCb_rchzV|6wcv&vq8@h*fj*j89<K_
zX&L)_$s=>@nF61booJQ~sHciBSdzlfuN^A}11Oaq!<gu&21cN7rk|kiTfCa8vr}DC
zcGcaRIq(0dW$LjMI&a!wx1gQtx5GK?k3w2$#!a3CU|;&Y{34yW5_!s)843DbVN6$*
zzFnI7nFu-takDaJSzEDakj_43tBr5*)OG5k%#(<e33=O2S(nZrJ?kRid19i@5h_|e
z2^d^67YiU#SBuQ0094-q{1{YvKH`6Ws`Or!b09j15Pq1E=OSaM>i}pOuAvPN9-;`g
zj*ThsG0q7MmJTyDy!>O%V-#ST{I5T<sprK7!1c=p2vl9bD}92YwXeO<<A<@x+BeO9
zN9m@4lKBGb0tj}AGnswqoZnIE8dfwcp*C61myZ9Sqrz5_CpMBLke9jSF_ymQGOjGy
zgE%3*<$1a(aJ?R%3uh{8#B<F)9l?6I=(2zR-f8?u(eEUF`FNA71J^K2ev>odIBb|=
z;ieN7_3hm!P0#ms5sLAT!^U#N(FRR?X9&{o$~8;VUpGX+79E+CJ!x^?8lE9bO>9db
zZ_Q()`9R3~v_W1zkcx=O2gqOI(Gxj-L8H!edDR*zp@JNp7X-{P#N&{t0h3(hMflrh
z=fEIjfEsEF*wl)FuRY4K)ivWliH+z3b?~?S4G@8D;>sy`A#~6Lpp{&gjN<i8^V^#7
z8(BGym*7UPGPdY!%r7Gi-PSj>F*ak_Rf?U1Lh$Fm)<&yK;<3%_%S^6`FZKJ--?D2|
zQ*`@n@h$Z^?L~As;Nx%Q<e9wUB~p5;qXNUtc?EQeU#15Yb*b9Qq!bJr*~_HalB!Sr
zb;tQ{17Nr*nY&mZZ?F0U`V2KbKDFW&n2WY8fg?mZ8XoUdF<))gl>BF=R4hA6c%+Fp
zkRGjEj_OQSdVComm@9hZ=x0yQTeeN-*yi$;=8BG#D3RZ=>#a!=cerLTdmXZi4I^#9
zj533<3hT)r!_81Cb`+z<UswM_LKr%up38_IU5XYu>E0>B*b*D6W<5n{u+a_Lf!7~z
z`W)w6)`o$dQrvST7{`eE5sOMrs@Qws{&(4_Bc!llXGrlj#uCY2Xq|YkYWz~JI}I)E
zoL;f3y?7P1^l*Qv_0Agv(_62@`tdXhG|j(sGCJ3UQ6!9+Dcte<TpeqoW#SgFhmI%>
z3pc)44O5dbX0IFNEyzJ6x49=+lir->+2=|!$1hEYN~q3$C3=xXzeSGxH?%0C1fjq|
z2`dX?elQfi{sNEp?CLpuGA1_13(oa*)P<@Yb{*lG>m+y*EG!RtJagHVULtRXcf<)S
zPRWV2j&+PJilj0XfDGSH@;}QX&P}B?*E@{lT1;_y$A_pQ1qAry5-~ex!c3FCIo$!#
z(xK7LbspNnqW4VAG&8c5%Clf2W(P$I4mLebDP%Y_4WfTZWt|T3aAvj6Q@ZZTT|CnJ
z>lr@ds_L9OK|?FjeP3*R@H!slQ0%v25kCroP5toB)(WQt`0*a??P-r`^x!Hcw?TBt
zt^A*$5`)^_c~&gsNuQQo?%$<d2U*&_9FM62RiBY;=zJ9mi2d9!)OxVbYEC@uPmd+{
z<PBlv^x+ji3gv|zAMP&mu=0+Pb;N$YyGsIm%|QM}ftzs@#dmERIV}6w-clL~vR84K
zo$`H*Ugl-Yc-(XXRC~i&0(_h)y~2QQaSx&9qch*0djh{{V4eWCLWp#_9;(Q*kq{9+
z|6wi<%FOXRfmWs3SCgM0bTR=-5NKLLsP_<ingYe_`_HI;EM{x*Few6k9@adr+_7Kc
z%eOZmom>RSx1l|R^-fgNHOBS-SSTV844$<jlgA3<Ator_Jtn}%=i=voFnslSGf?IH
zR0Q2)^-I`(khm&>uEOJ}l`1yu3*dOZRmbs(GcGxFKb4o};7`>c7@1wcUg@<{LSR$i
zH=-_{DADLmS~IM#qQJA@Iq95w?JTd-!X!C@jk`ZFPv)Ny-$Euiqh&y@thq{DOIcHA
z$s&h?8c88$Wrf79&sz!Y%Kb7NJEodp^65mpbpT+Fhpx}zmPo!_FWQh1c8o8#eW@uD
zEf(Tggb6K5htrlZkg6c<-VHUK(r)v7y7a>=S%(Z_lTbl;LBuT>CtQY+!h2fJP9hA;
z27lWeHdRRa-1r^bvrh!^80LbZPV0M>hPU^bGDut*;a~W5TuyWrPm(lQyGiP#-uwi*
zhla+6L_NVp6lPjB1evK8@@CwNkArI7tpcf)W&K~PIO~D2nXFhDD@)Bf*v~@=b9Yuj
zX$)#)3;|U>w;Er42Ikut#XKDa@}{UXW|WvTpXh-8w)>mCwdwc)yL9wU_TlkE2syVx
zL6;T@!)>g^9LJ{v6>k_NZFbTvce<IxOm2~cyU!YGbHlYITU+@YZt;cH567U(gYaa>
zA#d9(81A631`zw!fQ33l_Co}QLndISms00)j$!rgGlP?2shLRP4^o7wIlC4{+CI&C
zyn=Bjg&!F_&Z5oe-@jGs)jF!IMB=h-g6bb3=VG3w<fc)A27LY?KV-MzM^!f1k*JbP
zkBG;wGTj$F0qPs`@G`siP|ECu<0Xg{Bemr7$;0*>WZiBy)9uX`oQ@^;V_VFyS*e#o
z&@o+O{Nb=49lt{(uO5N^D&$8VfM6dBr7-MYK<HE>f?6|yy%#BM2VW^Y>-l2PhAl++
zDaOF}149xYO0@Pwga#i7W@@#j`P_{gxxs*1D0;gGgR1YK?%CI>@DR9gnVbc~1JT<N
z25+jF?;l)|;~Qon850ueX!|p2Ul9A_QN+|&Ow3@EJYEv*50y(oM@)P2;!q`cKC&Na
z=xc$Nbb}54o##Q_RP~FC;*xUSmA4qxgic5X?4;gG)FVyesPI|?c@DW!TF(Y*cR%@s
zMUJHpgMOb;WTf~)ZfDuagxBnJKa)FtQH}+yb#3l@I3<x3<1lDGBNE5t5vW0yc2^Nd
zU<<tlekIb==En{zZq{q#3~E?8zWrq^ZSo?b_Amr<X6hD+AJkZ`9$&Z+MCRk%3hbn=
zPZ+x)(x;yyuO~@-Xk%>TbzsCPS-dy)cbpGp?o;cW)Rnz!9YOL+hX^v;lR91+#9HXU
z5L^7&oWy$TH$$K1%2{=+*kD*!aJ4B0@E&1Vab_vJ)aFRqI!Yhk0Hq+$CM+E!q9>-N
zwo2a#v3&}fCLfV2U@zs8XsHgI1o3d-jVblIW^z#S;${0Kt9R<hGRMy>E3piBK=3vR
zbN5}_uUm>xPU+LQMid-xqu{W4elmY=poGe@an;$K_kk?(^GnzTqB_dp(h912hj!It
zkyLn6ygBm}N8{pY1(s>7h$?EupHJoDC_iHu5^%MIN3xKyv(T5%i1ArDWu26-B_s3_
zILp01nX7Vq`ZuHXMC5+d-1_T47iNbtrv6DK40o^){U-+OA}UyN_nT2M)JGfGW+-fz
z&*8`Ioi1#uWfb^~i*~{33bA91m>;kpV$x(IqqPYnXwn*-l={lwM4Dm+1$Oe|S3RXV
z?$0aYbz{^(i`V<L*6sB?3vv{mgm?T0pq39CiP-1(^A#p+U;n+@SscTl<-?(S2RRxc
zQEZMxpE2lhP12easr$f>h$W8q$YFTxeNk`{q+&3>jij~DzMHzKPu+#2VX$Zbx6cIb
z6kxznsPxT8fU@6rPiB)Po*VxsDoFxSNnOR)P6+To@Kt9MVR71bcGc6^rOre0<k?J;
zfKvi>ym7a>Ce06$05n%eQD(IhMMgif2P_@4V27Gp#@MM1BsHn6O`aK=)CLoBdIbX+
zy9haC1lgo#HDRhxND4p8SxN*}N@gggu_F?{^mgOq7#D9pNeCO_NjD;{FtJM-^prbz
z(Va2QP6!R1+K-}xrmF&zQp&d%uT_nIi{!+cI&bDOXp2%)hc+k-C4Q!eM`MV--`Y~S
z=I-&uQ#F4y-fkA120D=S?yJu-BXQ|ov%TFz$x~S(onKdRuLza&-+Z45{*9s`E&tB>
zK|nMi1|{AbSnDWBxk(zoYqDwkoRk{2#*sA`$V`}*Gn`=c1Sf>^Nd-S@;BkymgDCp0
zlII(IeX(}+i58YovOb=%@eQoj{F5+z`VXY3)<f7T%4#RuApRRvayRixeL3VbvyM00
zh|MJz{}>@IWn|jphp@^0(ZfA68Fo<y>1JPl^)xqcO(}2cYjL*tbMd**7|kaH0`dAZ
zU%CuPl!Bl_uHPbJY$tq+$K#_7D0&0a`*bV9t&7pY$Sn<haRGG2;|Lf^bqVeJE{ux|
zeb*9$2^Gz;E-Vk?Yr7vBXoOztJ;T4PG56>6KWG)R9BT%q`YHOiySehmBHSjw*EUTI
z)C>FBT1&&w6{U@{F-7X3D~K&-I1_jHfZC0u!|6;{sWlIp;Z3RLsWxa}I11d5ZQz4L
zEMC`HVU2n96;yj;4+JztPG}XqA4I`1CiUR_9InWtcs1`l^0cOi_T{ZFq{ud1N<2Fs
zEoqZ%mIsqAq2@J@F_QbUm`_UW<X5Aif|w;3uyg9YKgmQ=Ju+DFc_c*3uCQP^rO&4o
zLOyFi$z@Yb4Kb<9z1;FfYA<^y2#SRz-j2~4bnjYJe<o;h>7z`3nQgKBHE;dK1aIV7
z^SiC>3erHMXPT96_mi1A4M#Q^9d@7V33Z|g9M*Y^soX7=R(?5djrhw!zkae_Pa9}O
zl>=42*|0YaiOFkupfS+~Oyj91U(BVRdc<ZD_<n&gz?^CUENEkgY9MsZ=WqDbH3_OF
zk8DVhEoxeXr58awlAq)G)=js;PWS8@L_#t181J1hsk&Y;Ig59bccl&vCK!KVb4rlz
zVVxqJ6Y;O+z>%bUN-XGebGE~}60!eMy4uj`><bAjfn9uYVypF6iLw3rME!%2Og=8o
zx$$xX?oru&gt`$0gP$%&dKeh3KM{}K=M{<um2Ob=Wr(C}ms*+0cpk4{WdGW$$}0?k
zn~mwL8ORoh5P~n~(3u=}Ez9QiSq;d7^>W>*v%D>URs2-}g3Q28V8qkS^Fx0JoD_&T
znX8O1A~-(e!d<_8BThoe_LfErjyfE3g8(DNG1A&16pp;aZ7qLQ$>VAzbZb!hYxya@
z$lVWGd==``2Hf3biRo|Q>>MhMYayDsF;45mW4_A1B2a8d<AS%wx!ysqOkYxTCo}64
z1sMvmcusi?z*+t>cH-VI#$vw!`48p-%jle8m0fj=<pfw7DhAy7Y4P;l$UJ6Y-EaK?
zj7@1C(6Pa2Z>Z<B{l+(|?{Tklx|9*da}<6`Q_yy;SYyL|{VFBvuH3zio?L`5?G1}_
z6RdM%4=IJes!?tT97<;Ahx7N(I%`#y%A#SeMm=ZWz*&U{z%&-<H3TIBwAA4fTnzh>
zM=xKDn%t5&ny&Bpgky<`38OcIxl4eVarDQCt_avbfC^%2bLX+tP{W$Dzxu{lH0ANe
zE=1^iT&rm@i%hymY`fWK#y4zDi&(^%%-I&&qFoZOy>6qS7MtrLA|_otXEcMbsCM~v
zec`>F-7w1lrlC^V_V{rNq|PU&o!C=yGc&A+2Kv}S^Sq3u>jN!1?k?uySF^>x4PGjE
zonXPzI#z$ljfr3vKu4rcVvAe!L1qC(s~+WQ)o3>DFyE#n__!%LkiUIOGcDr&M+;!J
z3=Sn&__kZ`0WXTV3FRZ<9stcbq?VVNPw)s@#gYQx!e9Oq%W}1Qou<`hmM0MAQx2gE
zKZ`pzMYfpimpGqOW#s(akKIW@6n~$=JD{M-O5RVWQn2$w_D7*BC!ct%7G)}K3Hi!4
z;exDD(x4SXuW$=l*i3!e^@zw9vg^^^*ZeYGkMUVER69mVoQS?N>}XY2d}b`xcPbn#
zDu{V<T{opSP}ME>t01<a?Z7sd|B6~@<{AC)kU~;?;Sho#02|&Z7KiFK(u#P;Zx2iL
zi3YJ{_+1a^KhBiHBKsVwTfN$Bp$B*K3siMJMO@sEqA^^uq%pPLT)%w8L$6H}D2i~l
zGiiPrHN@wB6fq2Gm%B(~taymVCbooR$KMn|YMdRdNJ$bn`OIVBlXUOXMfVuXuN+5p
zo=D42sIa^S(3cz(Y-)bS>x+xTYCOr3Vz`j&*R&3=7FA}ON`A|Dt3he5#5LzvgMvY=
z@DeKTEn3y5mY5^kVr)AL`*ljSZw$Gi=_mOag!L)9gV(}xbX5B>3s3Jm4F{}Ww25en
z2H5b#emO$^#u?9VUd5_X3jY*uT$OoUH#V=207s=FH@WRdHKh8Zh|IL;lZhdUV{rCI
znsKCazw%d)2{nz}z@OBC#7_0kNV-S9PPHOee~~9##_TR&(x-RuQKQKvM;~ViL%~D0
z;DC1XZa;ZT&&6SvcE9Q}EHLXmy%--VpTT0XG-*A+$*|CF?Omc%{{gtmbP(FtT`v;W
z!G+7_EClvhf{^!)_)Bhw_#QTPgRzbxF?22QjKYhLG^|vIUx!j(kcq?AxMK5$)2}Ii
zJy`FHXWNuD=Qf$ImccE;b@BL`S7668OTG1W-Nt|XMRRgbE$)mmudVuh)$SD#um?i@
zedsy9AUogKgJpMsO8KtrBJm}pt{pesIJQ;%%ZqCsFEjinfl^Xl@aOMg?E`xTEexE#
z$)BfuNBN@J9dSm<F{HEEX3p(FA2<nA!Sn1x-3V`7j+_trrVeLXLLYFZA5sh4j%EaW
zhtDSKEEz!{n*?m2_4NUt8zN?M=YC>M;Yd?SqwlmA<ue+S7OJnxIivj*8%`$%Z|sIo
z#F!~IGivfs+cu^}RR-+x#8?6{;@Mu+KQo%)(L3YOkYM(-lg@J9a6FEM)0Q;&8i!lL
zS;p%>|0u`{W%jb+WlQ&HX9Xui(^il7G)l9pt+p%-`X^J63Tyk_M(O^`#pGvpuAaZ|
zc=&QD^$TU6=eV*hG}qhxU?%Y*CsGjxU5Xy$m)c7aj{i~|(1-*iof%tL_^3qHt~t{W
zV0WWi;DW0LJa!nN5iu1E<T_Z1JqF<SnkSWmcdVir{W9)kkt)gy|3D3YsFK+v;oExK
z;Yo-ad<mn==Snzl?a-jGaK&cVd3Bk2Cdhdjp~wOG>t8U5LdgimEI{_j{2_%B1{`*2
zW{2z6<N+W4R)tQbZSN#GJb~wMN*}`#_yX6b#OWFs2n6~6Jy7@tkPc&)3K3E;iHgfJ
z8zV$tvte=Ylm36+>fgu8NOsbWel)gKgnYaAlgvon6-SeWNj%(c|GpSW;0ts>1EIC+
z%I1V1?DI7{KJ;8ia<JQk(*6506fsob%d@vVHI5aod$v7RrdWuQ8JCB<;4jyxTVv{4
z{aWYW836;PBwxn+6FFjLc7}w6G~e8Oa36aOZ*%Umfv90;HP3$6vy<Unds*2=jhfDF
z_ziBCajw$kw)|j-W7+w?Hv`iV44e*)rmZT>N9sz@3N&ZecAl4g^)eKNP-e-yy4O$O
z#?4|XSMgGCD$C~}tIa#*bnt$Jdw;RU`zB*YTG94@e=H#`KqW_3daj*9=_O2!zK7w=
zkB>gsRnc8(Syd)qQM1#Ujn=|J+exkc6w&$n$5dFq+Il-$ylPIfk%K-Z|IcioA*4Vv
z!KkJu2=gHD-)squF=qE>JBae!_={z~pJKkh$5;}(`MVk&pZq8nXjxodiTwQo<4_R#
z>;#{52$r&oJ=EL=1e)m>pv`<!%2o-+l%&#Wqd)j`Ym7B}+VmZXM)II16>6)|7}A72
z6Mqt95r6W7A-|1~xh5GSHtdJS%Yvhe0-tDAFBMvr1U|6$qR_uPC_l4%g6z-8g^Liz
z-RU1DBd&YX?h#IVk5s@u{s=4;BV|Dc+$%`~Z{xKwHuJBQm9$|Ecz>wOKqoYVH;!pr
z&!=3=(pg-VNFV8ew>)^J1T{6>;+C%_3)RzNeEYd3xH8_W(JJ(y^Y=O@IfwgJk;SoD
zIv&Ea(MVeqIRySckPJ-;3J0-tNG8Vxu6m2#JUM|0&l^DPkXtAaD!*L}ezzR&e7OO$
z{N??R1mQBsL;BO*GA3jU?pr-e)XVyx6H+FaV|vm5S&THu&;_`K@~{}M(p1JwJ>}i#
z0`W+fS*0LUquB(y1>KD7bxM_SiQ6=a-0vkx7b={BAW(etO>$G{)rCr|W_-jM$E6OB
zke~!zASVcC?Tm9csRLi3PXpp`A4l)o4EYBCfv!gKX;JXs&w-91?5yWzBLLHAsM8Is
zjZD$onSHB2bO+js%o2KsdrQ3VEM$vbNJL1&Fp?a9S&Ig8B%w%oy%AcK4+IAL<X<CJ
z*bVwUz3zi?>T`H>{{po=6vA{@omFC%ud!Ya=FZi_QN&;anpj~VodpH4_DyHChW^t!
zs!TWS()&qRHy^w|?)P85`X7UQ5l-!}Ib#k^SlrGJ!-(d)zv6ywBSW)g$zT&4TOW@<
zhOI~+qb>g59?fZm%Yf0<yT4!x6eDBt+Mn*Y88m;9X0g<Mr#AIEUU@oP2hN-p$ASYt
zx1>HzJU<9bSl}7PG^o)8+D(Ai0sS%cfN(`S25pcTXm07r?z`hf;K)Xw3qV<djf%VA
z31(~@6Bt(cHamFwK<sA*H8I#8I7^9{vf)c%0>AB|a1{cH7tcr3b9}z(T1%DMc!~7n
zF<P8B{Oiakf~)Vy;}$GsLG&dKSSOW=xzF_xo#nbMME<{ijwuSYnNA>`wgcfUpspNv
z1c;a@Aa2w}mpJ~O4LzBi!O!m6new16Y*<P%9op_qWDjIA>4G|E>#UV?GcWaZn_X5q
zNDsl`Eb9cq_(?~C4y0Xkb=JMQz_d8ISpi^K=^ShmwTEy*gFVD~ue~xzuOrY45<H2G
zKEAE)47qZ<*1zA-f04muzX(VLxU^LbKM$7?flL0&c|ltsT{z-`WMIVSe5OT<)|pJm
zM+sX55J0f>m1yBc+uqKWXfT^lXMaRZ_iNh5nTQO0qSxUkaIyS3NR~K40Jx<M0OB(-
z`+F-gLyzx3$j8;&pV9t<31!SaE65DQbQJU8WD)*f$K5kopxCn&bgBVTDf_Ktesa*~
z*QGXF2?-9GJ+2rP>AcQXo@=Bbu)SspT+h6Jmq`R-V+h-pzix`N_ih0PGh&~oM{s{L
zc+m+CEBi%8#hDC8eQhC|gN@LL?84Y;+B=O018LnWy;u%Hz3=t^CE03Q#|q&nl9$>)
zM>%({=BeV!@!t=O2@Sh!SHJ8T++xmna98kSLiXW<qzj`|ph6&GeBCO3ayB2$gyl^}
z%+;F~dAwRQV2$1&U?zMo&iVPg7;ZMa6EKvrOqcZf*ZqLow>*vFJA4j$PyrsJ=Wz@B
z_=zwl+tJ?5UIl6$Q`35!X4@+`7U+0i)5kC9YX5A`@HP$?-Kl0!D^m3cr$vv}cMUZH
zLVyLzPzXcl{AU@aBX?$_<Ua@OJ(=P=aZOqi|10Gvqjvb&gX5e(3gE&G;0Z?iA%wx?
zPwaMA3Y7xMi07X<wMpMJH#e{QY5#0FW>*YUsOF1-6QtMr1Y!rslKv(Jbv~d%CA9UE
zc7UASbF_1ReuZJXx)p{mQMd^KU}LY>4;o$|yax1a>HX8HxSG4KT<za~G!g?oSt<C;
z-U;g`P|*?d>@O5<aA~~(s~@st$O0?x)J~@Keey}cV{#b4!ZiJCSD5&6S>E1D<;f)w
zEA)gwF19s~Ef*U}Cn12?U8;H;=u7q}f!qRd95OHn22N!=zlxJTaa;C9=9HYkkBCVB
zi@<jZ!hp7B3-m7y9e1{q$ds}t(-0v+P;22}u<GIj&!C`>pdWtvu8sAycA5OIciBKU
zNJZtvc$(2g`V7mtWwl}rQ^G<Dc#D6kBuc_NLG5JWy2td;3B1siNHs<Dkj8-F%2-!0
z@{A0x7ga+hq@>Ka=`Tr{lZH^)#mNAxu$7};p*O_5?ef)375rW-r0N20(yZhyRG(gf
zfccZnEpW8hn@7kmkenBzhy-p_vTsy9&dTh4-!D)FWny+ZZw~fpO^N<_&p-Y~D#sQC
zuyaX;Woq~k#Xe?*sAkab*-gP@Cg*#%r;pl8&cU~g%+v^l8-ZW6)=2L13aSGfGY3Q}
zE$ayh|2LW=2^6Eqff9Tfpk84HV>3=*&c_xHiaqSx!R6fnkb*hy!=}Q{&)F_Nq(8H5
zMndR#&1ANu>iEH*MSq9-XKE=%)xm7qivMscj_G9fzn1+`Z)iYZ^o1voYu-U@zW?NR
z^P0`H(zi<Qi+$XA!0?8Do*V_8PbSr5-lmlHb^n$VK}HF{9N=(+ifz?lq2287A&1gQ
z`~a=Wpt%;N1@y>4cpe%PV^nsB``mUg`2Ad0z=pv$fSz&#a0()u@$f0YJm*G7V>)QF
zA+a&UYDPhYJ^?UvA*YQxXO*I>RW}<8ScT8Qd-vp6rDG`uP#oZNT=h7-K@0K(op%D@
z%pR6vP+{N(1l2y9VY}QL2SPvz-;0`T-Fh3X<7{?I^sf-Q*$$ksc;&$P%Gh{q#P6a;
zY5Q-GonwUn`oH-yLSlx|o)U1!I3tbWrYnQ+N1P1UM0CycG8>qOn~DcKuF}<pHP9c2
z*(-*9$^38v^rD6C#)Jd_$nlf2JB8oVi2<;3Dhfbs4hYdPm0$S+NwVIr+Ml6|2+rL~
zKm4;dEMPKRvo~oKvS43-7t(#q3{oN`sD`NYy5iK%vW7)3AZyr*1~IQD=k~2V+_(ER
zilEJ1NwhqLfVn0u9_72>$v5&5aCRN7O2Myl{fBd4Kujr^vR7#JdE%cz0Bi5_U2()M
z#-67QMy~&W<>DB}1k2%mzTkPqU^$idPwnPtO9$8&JpkmB2%2CIQXwO>7Qwb^%iew*
z%=~s{AR$K=tq*vjA;ITGK>3UPn{p=vhG}*?kZJa~KH11cn?!H0o{H)MewjbPq4ih{
zRRFVP6ykRNOGah^hTUlEIjj8$L)hm9^)+aHh%hE`9{4W#lhd-Y>U668qK-(w>#b=1
zk$cCju3MzS4TY^+8we2uPr<h1!HmLX3mJ5%)G~Ojp@CzAc>>9<OaC!}f1g#01$@6w
zY;9&gRi(p<=ofRROmvt;&jC+~o_bByFuX<(E$}$^)Cz}Ri4ot70&Q4qZDYw8|NAZf
zuR`;{2wpm8-@dNo@k~LS=(szu?=H*!?LGe)hA=+5$6fZa?eqtE=^S*#O0rA7rE3)D
z#Hli!Ug-`S=broxGx)A{^}*!(Ut2;Wj*?p$&M2V*>!n@jM(byQF%ig$<CVAr1xM^V
zec`L%#7tJXwt`qN6y9sqKk3XXsb#L3tcB_6=dkJgZoevT1P3_T=kLccn9KB}uVb2T
zWTONR%ksXy%x0WxQ1t&9+*G38T5F~TVx%DNb3yO@E99@lDoY1X`Q&Yu>P}NlD~2_z
zEmoSR^yXSU#n$SHGFzT(e?J`}k8a%lWPE$>acAS1rrUT?C&ZM2Gk3I<*GnncVR@M)
z(BW-)amU=&=r=ccn8_PS$Z~94m^pUc*-#EavVnQD1u5Lrrnmbz4?+a7(0#|lZ3pCh
zQ@?d`V#9DJl<3#uq2TCF#)kP5h=nA~V#^}WH|{&1(pT(v2bi`#IQMidOy(!;W0>ce
zKH$vMJBZk72){xzB>n=wFN5&wst8w>t5or^^N*Eop`Yp5wsTEvnC*>T8`FNUAE2^Y
zyf$zSGebn9)YR=}ul7$qHVj{#axr;dvIe30vEIz=xbs(;7`k+O*bZ#=>`e{7ZoZOK
z6!<wIyToI-U3q+#IHkUHvQ7TIMyF6=i_r5d`LN^mvSKhYxJI4n!QVU!$6nUvxQt2i
zF0pZ}t7VN~`QjiGMT?t7fKurxFhmo_*o0y_Xu?BeN;<Q6@Z_<)QFWjy5C;W*bIOY0
zi^q}o5~LZXa!;+A#Zn)@mC3K25Ha%OgMX8e6iR4tS(>fO8Y4o46ZY>sEp&ZZk~m8r
zMw$I;oi7jft70VXrz`w<&(rXwNJ0w>30XPCpnA1Uf;z5RTKwD=;Q88qYREa{TvpuQ
zH%On$UdJrD9?aFfXEed5*C@?#IF2EmiAHIAt8cY`<*|K$S@cMO_lY?xW|40?2#;P#
z0W_^E*+?o;o@D<Z!}*Elxc#xl-R8O(q`V;z6TNZu3M1LhLij9XI;A#)aD4?H?%4hQ
zmxF2t`R&==7u+qP$-_$fho7WWJSruQQ^Q4U#JBUF$#1c#h<WaH{Cync9-uKoP|VZL
zP9mR1GipCm>0OV^)^7(5_vDU53l$Hyim7M4k4`r$bTM}C-46E+zKqax8B2%!%zpSu
z%;&!UoX2WB9~4jBzr}db-Ztc5x5Kyvbu`~p(|&)>45O{xHhsTBu&j{Di`7Ct2Lj9=
zVqipB?uHcq>{!(&fh7w3rk<iup^d3;e{q@XA4gwy_@(?BUA%p}RPuC>DC@zAU>b+H
z*=9aKWaXlw;EwG1<#6WRl)3(>>4VHd`+_(B@rojq#zDED<r>z5`@mtFcMx0L)q3{@
z;&Rm;{0Y1?!6OF;?t^!%3w*9k4;wu5MD0Q$N?E6;8GZ2&SKr9r<1ns{=#CX+-hjHR
zjWYYPqf;+lUh~8*WFGkETjNN}pd<og5o9<>#Iadm&3}Xx_}<{N`~4F`{1An5^u9qe
z4uU#dEOO31ymf0xyPVzI(b^v-<W(Auu-F$|&=ZnHP0uV*x3PIX(ICW$v+F*zDbHN4
z-Q;yzP^ZInTB~?TR0@Zp*l;w96_JrGiHdhJ(a?4Z&!#7&S~2tFxC!SqB$HDFDh9p8
zzAgisL#P5*%jBp6F5|4dG0%v&{CtL)7!rUvS84*wKJoT2;`MJQ4Ou8?2KIF0%+S7W
zC*nRA+?80Xap!wR34Crx?M}PyYqmc$>kY-8by6gCoNkjx4|>xU_{7@{%@X_VrS9*$
zeBG{s^}gu3&Nn1aE2}o@2{+I3^JU^122n>Un>Duo4eIlNCxX`rDxfTN(uSP(cT9-@
zV4-ji`Ny<>V$2xfS;TpdT}#q015xQQ5w6B-_3O4O7v%!C_20A`T#<F8d$Bs?dAQW>
z3rIt=U-)1u_M#FDW*5vOF)w)=EV{0!ok4~c11afd?;tde|LeALj1ZnoXFCp|xGPm~
z*&GRNG-6cy(%>pDC68na@v#;8Rqz^;!9Th@`hH4$)RJx-<D@Q!9a3svo&U`HTMQ|6
zmJ7N{P7oV4ETQY!_jm=N1=`Wz(J@er{D}cPsozUq;xD`qBOHvz-Fo;GU#9I;o|=fq
zz(B=#d3y26V)ZySoBMR$13$7}zF*K|$=Bvho$XvZyK8ioz?>Tf!w7Vgy*x0*Qi#Co
z$>_Z`{GH!Irb!wu1^?Gg!65vHMUCnXhPCxM3{>L97Hf^++ow_bt@bw>Oiey7v)jEd
z4m0bFX2w&aqj%?yj0>|dvc8VRHR{&d9V8vhwYVPs+S|%jDDc;?nRUn+=@yNKw@3AE
zqaY92j<MxGyIsOLdQLF{J^a`%3_Mg14C~~i!Tq15OBdIvrqa>i(%n9kv39;V_kfcw
zUwD6-c@!4>e1XrsefO<O`{fm}*vgwa>&4UVqw~G*7}BlAm+f~M#JcPcSESv;1kMzk
z6Z)D}3?9`7r{YVu>bGtOam6W;9X^Le$i2jTe#<$xdTFPq9WC_Sp(9HjFOr3(mzq}7
zFi?oIe8v;*suX?RNCt&IvFu+_>KA~&QrgzifI+8u9C*=VG0yovK`dF|WtPkCI(c+>
zLw*!mgUDS-SBsetPK5K<sH6E61HU)0F>h{cap;eP*otNV-aWJP@<0w_M~C8ERxtyX
zfJ(#sA}z{$7+SB<!I0O86$yl@FTqx!gt6uN*BoI4mS>{$kFPg2yY45nKIPoH@!R<@
zAjrQnNZPjdBJ1K{acwM~`Pb}R1;WPK<0m)6SVuc!woA}mKk@XIw!Ag;ZjX}nXG&yo
zkfMos88TSrKN=rCKi-+7m3&?$@;kiakj?4q;IdA72m4=N!Vr3j*HGlp4FzFJpU(nq
z{1uz|1d_sIyZI(#3*9?3-&^w|Lf^sV+>WN7%)l0(_NPtIECSm`q^ChVdA4{O7(Jrf
z7H8}yHeeo!d%4{!6u&S2CsH{9wrXo@4S;+9WEDwpQMl}Hg|2n>$8)=tVc}1yyPxiO
z?=R=#21D9FfPGtmKtSB|0{`>rf5(V9ZxB<U%a@bQxBvNEQY1rg{P5gE_Px{pOLP1a
zQPS{2k3ci=8u5Y1PaF8Mc~OIAS&}k1!Fvt=#L3YJfZT(>SS18(K}~JHcb`U=Vg;Kd
zTt6yTI)@Stg_yIH^6=(wt`V*f;2f}%*WTW~El^hsI}BX_vB=tLb28wK#nC|*Lb#9Z
z<G;!F-$)aTnGs+mcC@T_|Ib*+K*mRZQiognzws~R#cLBl4E*uS*?+TxPV-I}AX~>k
z&_+^Z@uMq}axjAITumEDJ2ohmsWdn8?U(-jB01rR;4FI7%o!lV<q}mTo6NM(;;v|J
zBS8s3>oD-sQU<o_e+@Ih!FZw9O@Zb+C`pYIeL4?hsljcNH~3D!&_4;lC<K<bxgWm!
z_uT<zYqQXtI2OWbJF8lZg1l=EDXQnP2f|9^H?28Hyx@%{L;)toX#d0Up9u%>92x==
z#^=7oxb2k0h0)OfDn&)mv2FYu{nI004YWN5qLlxAp@dMVnj9^}R_{wYIBE^gH&SQe
z+n~vS@eu@xg?lcKIF1B8^#_UlZ^#UAUYCdR9p4np2#wEnCy)hR_p5!b;-fM)#(*Uy
z4HyvZRse+H34~2Z?r8f9T>!sCN8QO_F-`@Kk{ft?w$p9F`eIn3D^Ry6Ttg5@70ptk
z3l80>U!!Jp#|uO3R;z~(&0lu{?B^&pT#7wGA%S_Je{3(msimEShV84U!;g-Fp-*tT
z%q4IjtNCAq@b4-D4?V$nF6iSiOcJhJelrxdAPT`Exjq*cO&u8g`=S4MmvJVr8V}mN
zC7J$vDkRCsDS+TL|1jQv(vA&^N`QK1^0@;9G;!_S*GPOx8c0urgs`pN@Zc6`7dYwL
z9C0Lck|_NBUXWQLXP!0u@4cMRh0n^h>yXazgDiG6mpPdWRhTHaPVjMkzMx5ddCm@A
zU7H-_f^}Sn9{;|mFfM|_7c{yAm3NKJE<0W32yZe|oh8OXHZtz;nO=H;?vTowhTLJ?
zAOKklpM%s@V~Nl8<-apWA`Sq@Zwdv(<a{6vRlE7No&4TUdEt5f8;~r83V0kZ|A04+
z2Df@5HX^EfUeC4syIVe)!BFUecv%h39Q1e$eDI5R2zs(uXRQG`OadJ#v#r21*9n7B
zBHPcf{x`~#X9k;WZ{kb%7q)h>aOZ2x6-ABYoyxZ$6vl)cxO~WdstWx3&np53ilnFC
z#~99h#<>Ic*)(z*?daeTCt`-kR~<xE0Wdui9Y*l~EsA~svdQ*>{uz43OZm%iD%35~
zDrT24J;B%jxZ)VF`H=LB#r~2EV1HPW0OXH_JBaJ)=jRY08yey2GFIsEzn=%d3Z&0o
zbpHI3_u=gOtVCFNe9{k2u9mvIsx072X`tCUgX4YxGVvdClOql%`j~saZT>?zr2`cm
z3LFYrQVw4W`130;-x+Z@hR^@K7LZ|-m0st&p!q(jR+bM0H2v~m_=j8u5C3z`?|&+x
zgT)_bP>=Di5&yI1&}q29%B8!+uk`=-FG?Tb9-|V?Pfu%p406`|Z5qL(uUoTO{Ci1^
zA50tA-k?X~W{n--U^#A(<?OatN1iBr3WTAuX%n$*PtVRFqf&B(Q!jr#15lq?!zwfv
zV5wf=X9a@!=^-(A-1uD8Rs{x24C*Pa2}L$gn#aPp3=|II`AQt|w>SnGF(JDX>;*)!
zx(@xvC<NO)of{9dtT2cPNkB;V$4NaGVtyRdkJvrXFKNSaC1;uf9~AERH3e00?C&gL
zN_090Ag|>o!xclyOp5gigJOkc5#cCj0Cq(~8+7wDo6)w6{hqb!xpPDZJM{GX-z!uV
z9(bPesLO2{icvCPNA1v<GAWhR;6B8?6n;_piQ3o`NmAAZ&=F5_A1@5pVs?_AV20QN
zeDcrE|GhRqrF^#z%VWfZKw+ggmk2MgSW)o<4d4y6LM*fwDRa?zcDYo0P(tt;HyFzP
z;zi(oD+n{GzF51KAgll*!esWTH(_9z#*y^{l!E6V&x#IYwdU+1dZ7GSyMf`5P2H$r
z1{5CIU_^u;?>tYSa7(Y#TMvoLmEgk@Kb+tEz1?$2U;qg9j4Bft0(6KeeO9k4P2vmp
z#^~jp#Ln}`vq#=6ACR8jE<@Eq+}QYI=wax^CTDZ2Xc41p5dWy*Gk;MA8!?nN;Q#b>
z-SJqr-=EuUhV1M;lgPNuxa|=c@t9c&*&`w&HzHd`At57D6p4ntWh+Hg(vp-BWfZ^j
zq0sYuU%y`c;l*cN=Q`K9&Ul~q^@|I>^Sj8eGBq-KW`DkXj3c5PWjqtIjb(2gk%E2z
zT7l?BfSbGdj&gI>AzOXjY<nlKfg~to{<V8{+d2g?29mO(YhYDPh1w0IWYwSfZ(FI~
zLj9}H<j)e{G_7siu#L8HyFS{UfV_4@LR<Z1g|KpE&WpAs|M4r5u~Jm<HkW|7L}k>l
zI#jZUmlWBy>Zr)Jr$qr{_i%RB(v!)=c~N?S+KL~kgAKhj3)HSOw2t!V_PElL!27tI
zRCgHc)dTQv`g+@pb`5KqAA~aeE0paj+6RRGvDN-}X94p4*mPvj`_DB|>Z2aOpnVN1
zwrY#p9}2Hb1a+9UzCo~KcD4qIvqF!fh4;~S@4A>W6F!DRT!jVZ=S2qGn1Fkcy=`)n
zfizOKah(^@PM!(6sj52aw_w<Q-*2J<E9K@pbvbfUV`?x>CX3>1v48$ZqeTk~;^>nx
zF$PjCTMqd1Ix8Zn-}?TP8(A)GHD5DabKtEX&Y{u2O$?&YDTsge&h^Z|y`x~EJ}coT
z+HBvs`4DUZQl0IL^UwJ6z~9eyxf*uGc6e1k?Cs^oYqYkh{Xk#&<mkt~tGD4O235}i
zhRtu!lOyq>oPz@1knAO>Tv5RRBrk`Ua(1V6)3NDP8Q}G#>MLfl_CNus#`AUPw_a%u
zzo&-Rf+4-R@#EY^bgvT60?EXUW5wL*se1IzK=GLXC{)n_bLq_))!K`wg_|3=Sx#qF
zVlU1;B1bBc6>1Qk?Q(_61m*zpeHf{qE#(GG#vsjOK)S<~G+DFe5O(+QiLS#x#_yi~
zG!$TYe;%;JmiSgO2REJN!f3pqGrv}sw0eQBvq+$nN*lUHF`lo+;ghNe9Th-h3`y@3
z-7g7nw?dg52~(H@vecG284Yg671+uuy=*t-Hz0{$&wH|R9x5zZ{zCn<jv{Q(xb?22
z`$=6LEZ~#eV0v{YzWjqq*O=hpSm^|i^gOUe$sG8>cKGb+Y!n-z7w&bzxz#7Rp>UeX
zivwYh@~t)J*s4>2$G%*L{d)P668Mgvfp%7hVVt`Y=vj#<n2jfHmr2rMFkk?-kpM1f
z*w^(TP~obuZ3-7#M^I(dYPe&01sg~Lc`WAq7B;{j9c|_iM`R7IqPA_Q4S0b!Yg^P}
z3qoUXF{4m0JK!ny9o(oiM7<V!z8Ip?b!_1<6ez}Uovjydn97fv6dRe~9U%-&?<==p
zVsUM|4jvC;DpyG&PqjNkR_}*M{hl$=%b~;MWUNapjv~}XWS99&U*9~VMx(_At^k=$
zESENC5t<$F-c+Li^gjkU=mIrHO-m#b3hN|UnNv5?ab056Hl-1mLH5XtX-ZcKo@G4G
zTIGG{G5AW46Rk>Yn)BqP&m|^H@fx^7aCq-~JKJrvg+3I~*h$iXeyztr7{CW)HG^7;
z379oU!nG3|YmD775qey!D{cF1g4b6*A~hZ8l#B9lv^odSx(}(Amrk8mQQETNKBVa0
zE*)Eb_Ea){CYBDGD({R;);)(_RM&!=U3FtokLKAWKp4Y%nmBT%lg613A5%YR%)8%r
zTJ(`w+o-GI4{jSEl1$d66bOn9I(cY5p68-9q%HZ5T$;<gNK9fP_^y!eD9h36yscQs
z1RI7vVEP>!wU;C3xR$nMx^Rf^<UIq_Jq=jPuAbxbI(bWI#ibkiz2Lk;%P#Z*Lklu<
z$G52Je7p~r)SFZJ^&XFEjtk$cuU|(1yimTm^hQHv0uX|S*O%W4=w^7$RCJ{9aVoLa
z-|3%Q+zD>L2$Ufft1Qfsp7g08zEQpO%hSggf4)5PnoWq8a1LtqY~2#%3^wO!80?Rq
z{Z#a}Bgsi*UJ6Q40L44+LpK}r>Kpq)3-nTOY<&0J_zvi{S%Aa66qO?=*s7RsS*bF9
zSP{chw*+w(yk0}v0_W{St!p!cdf}udY#un|Qk4PF6Ptfkvh#iAFGoQ;z2}c!EtMnW
zP(9~9aObi<9$kA!3*ezj225&s=Gm);Q$QcEV*o9bA#^2k{^uh03(eF}(Vi=TDc$e6
z=jBgN4FEx#Ld;tr6S52HzY}Ounf<;A(qg21&{MwJNUWF~oaLTMp$Mh~j++erG*f(O
zm(kVAqXz}s5)L<h_2=wECx|4nFV@@r>~UyE(7~xPor_Q+Rr(dzupH;W<?rL!A44nP
zs6bJpTY>a$E7-S^oEDW=@@3c1qJ9m$$Dn@Reft@<y=`Rqc)?cPZ2n0Im&M=sz3=tU
z57L7*IFxVz1YF;GB>ExmEof&x3r*4$&{CcF14Mk_z21V#<ESy~y0a9FViU2#<(x<2
zpRvjM@Ji&ic=R()IZ&$FpP4E;a=HEGHElxSuvD?#rA7-)kd~asvlMJEHKRg+n7l-P
zmXvUOcH6_5{+|&XKRL(qqc=Wyu17`0L9f1Q`7#ua0^3P7-u&dvHmn_i#u4(AWk59$
z<T}69@&)k7U}Aga$!;^pnR$BZ3%g3B*w3)#T6XkW(3Gg7z(CuXr9o}=BRgyfP;(TW
z%;}#Q=_x(F@UUjwXODBhB9Pr(J=H^fj1D0VT$HY#PXH)Jhb9xzL*@!SpNu%Zj+Q8j
z6ORrIdlK<^?($uBrayrupkrN_JSXPy#!Bu6lUsGO92ER2L?6wF`!wqwe+8fUQSrxv
z+2D`zf@Y7+F|5Zr1f4vf>rdk}bO9r96qdMHS&j_S{%Z_;!1npP;n!HhRljHEz)mei
zFEqc~MZn&K1chZnUo1_@aa8t`wIb1wm=npU@Vy~Zs$a%t<&Crb8U%--DU9Mu+AJc%
zahb&nH~MB!Y}uJVdk#1&YV$`2i$Bs%mHTiCs;IE%UF^6fm8ka+Sa2VNfH^y=Ft0}F
zh4-hjy6MmCywecnaI)e1z1wX~Hb5ucb0M(?s?IGvnG&kuKPo!d*QPX;bn+S5SXj;W
z$4|8#Ej9OVnN)bgS=_LYe!KO03K4Db?{=;~>&Tf97oyFwNtbb+c7lrM*?Xdmu2cc1
z?0{CC38cl}dr7qWjL;iw!GscEv1bxx%$66rMf(pX@fGKsorYY`CVj-NRjCO_cznKZ
zegq|@8K!!+B?AfjCjkOr<JCmyw$zhj!gOGyIkxPM;!2l3x0Ux>p&)tROS4GP77q72
zDHCm(4UL&}3+<nu-+m2o>*A-uf{v-d0#O7$@~8g0=^x?#p>^)Kk;D2xn<y$yje?eX
z#Q~pv-$wcS)a!@ti+NFM++4eh;C#)|X5lRS0(TFYESx*nCui^NnN#8AMV*z|pr60@
z%bc`s?eNy~rg@;qaV|zV<jv0p*OqG)HTKILF2Ke<DqTTg+2>KpIPdhs9<sFqQRsZN
zwuyWMabi2yrS5qCT=+s)!>I={4(}!!^v1+Uu7JvvMq!uz4+P1q42!Oh67RbadiRh8
z(n5(vt&mDeN{)xFePKNq#`3zQGOb<x&`QjTF@n=>lxkdAS%x1sKMAoEZs?rgg|58N
zn6Na;4ze^6I(fjfmxjZJz2CYZ;?HFerfb>4Lg}(Av#dE7coW%WcD#i@vz?5MAt7fJ
z;~YJfs~D29)!1jD1BSuK{tt8oxisxUBe1Nqs*AD+=KwW4-}HzFk{05FXuxFEp6$}M
z6)p)zxvd2QA%%!defAS#ndsXikFchSVw&&}NvJ7}lXG%x=at~O7x9XHfR_GNJpRZ%
zm>E4Vw8M)Swyoe0vB4!66!;#Qhl4O33lxBkgWYV&pw1<zDNz$ugy5@0JcIre8Q^lk
zj7Fqx4(EwYB-WjJaviWBc@r<>5KG&MqyRJ3YIo%ewMdZz=J<KK?&~QIfe?8ONWeeg
zN?Y9V)@cL@a4@U9K`+4>UHAt{)<RedD_%!;CzyvokD3u&y2@fW+3Yu<qbe=T^}koi
zz)mcS7o&G)nN=}(8K6>@`H5dNV3<Z={`ZGeP;RAK5t$nk;-qIAO6>(HRbX67_{CT_
z0f7;>E$U<}I|>1|xViPb-GcKF(ufgQaSFcNp4>3Bj-D-Kea?(~!^VFEkaMP{rauzT
z)ShSz!!M$2UPmSo@ls>0udD8id05@HJ)Wt=roHOS>?=V3BBZ^;Qi_^D6_b_)YWB4C
z%kE?f76p!$&RGDXiT{6UCiX>k^cWoH`rF?8Pc6gi;Pm@CF6-~V&?T_t4q}B#AfqLm
zXTBTzNQVX|_%zsMpgI%HCQtw-aic{S4w#xHaL7z&ANe`#ESCk+MSvoJ-jx0HmO(+s
zGCictuf{&NrP{s*v8l-HyTK&b(^iM<#Fd-NlSYdW)MCGNgz|2$0J#ZU0jdzEH}ZYg
zHnb^ycnS2g2T&00<Qsm^N*f?n4`S?)BI~Ysf{8GO*sOR`iZSx<-$OR~3dnpU(tRhG
zdrF3TSnfxD&(2bnk5VR*Ey^Hfp5^ZURA1*DY)H-7Y>ebTg?N;9(Oi;B#)si$j}f#=
z&kx6^+cJO*1wZ*=Twadly49+Rt71OY_fExvtTV$%&}9aKi4E~1+DWh)Y1lgCUR0}c
zewnY6O~{6xi@Zi_L^SLL&#s1NdmPEChD7>rdAVfbeT$|}2I`}6*&vIP-q0wHL1{F~
z6F#i8&K}hHUuG#4-Nzcju%-p<Pxr(5RcQC)OB8<Qw|@PuF?e%rz=W98Y7p;;cSt#m
zd>Y7<sJeN+ag>u#)CT;@PrhC6G3oaS>r4kzMNNA8fc+R|SLMMV2tA@18#7R16Zzh^
zJGTyal|E&g_NbiXCVyaq@?X38V$IO6^`2JVO9*5yA21&}wJ{7_`3S?!Xz0dp`EmL6
zJ@n)U$+II2<4RaT{_tg+BgQtNJ8vDmB9*Yz*mHq>_)IQu`Dcq<BEI;q?^_F?nPkJR
ziN{XzU8qR|VS^bPU-CheVZOZ=^?1(VAhG3luuPu=26tur!3Hy&C5)0eKHI;=qP3}V
z!&F!oZt*7y)LF-GTm7(<Qu3rM#E|Csov5s)!k?j=dht`%duLknrqG=~#5XeCE56Uh
zEX}Mx{T!A5<AoKmLm}ybo+n3DH6A_)2!Uy>;sc3V4pl)?>Gx{j#F3*e=&p+q$`y=T
zBEKyXm^e64<m3T)=D&3psAPcc3R`nz=iV(r2qKx^Pnlx{JEB3B85OR*y&Vz=bnh$_
zi_?Wo`!WulfFO586+tJ{>MK-0DDczcWUx*ofaDNybTg_}Jo2aTsvsS!|Lai$;wV<z
zyIyaa>4pFC3Zsycz3aEUepAb-l6ysl&k2sz6^UC2lUCl$_4`xOy;~PO&Y9A3!6&Hd
z&S^MOc53+0iT1{*($+cfux)j-WsowEh?`rkJoS*{U4pLB1upTPQO84M^qV-jzs8OI
zOxlwr6{q{D5l28w&UgpdqJV^nr^n*8m9G?%Z#U{KV`%J^vbpt9yGSSJC!9fB?9d!Z
zT6U}<n(<_jm@yv5WL)*bzlU=PZ5{MQ>gjAUmuh<w2geIGjGLKQaue);P3+*;N7tut
zzp4$CX!e5xuIacpKJ@46ACF&MUFAtqs02=#wA7K{_vxk?uj2-xJO%&Z?9}{_wUC?2
z`$R0N9DA8*?pA4F(o-NMn{upe!lhK1eQ>rm@Z0hX2)QFs#J~hXN{ebYCW23Jt_t{A
zF{#h2gXh)lW#(IHRb#K9mmw59Zfe>=^}TIyTs>Q~b`Hh7J_6l>3||AW09{+<qOl+_
zO=3UH`5L&r3|`SC{3JgW{k+wb(b%c8_CPuJ$%QL#t7ad#hV8jlnDp1!4Y*Nu6#JQ_
z9x1(Z1z#lNb6k{~B=@%r!+0z5oX+a^-IsYZ0qGodD+FSP<a-MF4A3m{L&I3&3UgDn
zLsyCcp+2wR`6)Z{gX8uMdQw^smk_q8J9Y%5E*8$t&KFFwq&m|kRef0abo(y-#MGd}
z3<{eJ*d8zz`rR#i)5y4D6!y%ZyOp-|9e#SWMoITOUm~r@);Vx(I~cR_FGh2DM%O?c
zz~$8o;I_J7G{0PL-(4hWF?U>DsHO66cDX!Qj-FjqDdxTGisyNQx&(>l1A$TqiNd+?
z<DAtlaE~R*eqh{x(CiLg`Vq{1n}*N}W5<rl@>OZ9e*?0Iwm>)+BrWgp{p5~9eTkv6
zKxXo|)EM5v>)N6`ovLfSp(z`@ZsQpx@yu$hmErr|Kt;*O=(V61yWJequ-iI@Nr*Cf
zwjtk%-5}68a#~Dbb*dncFo63xPIbS`-UJ2mmLX>%nv@l1zd|W8g?96^E#&`QqyxP8
zlKZnT8wbpD#LqDbwVi&?NvFD+_ESV6;6aA_5n_@%0~F?(tzzQobcep>f6DLrx>up|
z3Fi&NTB_Kl%XCvXo!*VhLeH9nbVc}$JxEy&vl_iFQHzII_5DvW&PNe>0@QP(NrGKO
z>UN>bXoiVsJe6k5-h}L5Q7UN?`?K5>WL=C8s|t6ozH^9l3`>=)`fG>9iPK_vxU2?`
zI~QM9vD0x+zRGJHp`UT2=b=@(nJ~%mRxXK4D{8AmOO{$R;`$M9sP)<sE$qa;WLj{k
zpq;c(sU9cG4xAdgQ{l_iTgl4Y)T3UFdGrsa1XFxbKuadqs~L<V|6p%ha#v_-YX7mK
zkt9IM^1H45Z2|U><hf;fb!Ux;amYCJy1BD1@;=E>{VM&GOjeiSSN`gxx3d1>B|2^i
zr@LLv3KUV=&n1m6Bp<ELtZE6=x+e5E0*_yhS-hO9?CPTDV+{p~6M^9A_MCSlzV(jT
zvD6{L#g|!+kl}GmbZ^~665e%Jqo!hLB=I+1VL8=OtQT556csX(_SYif#Gy#<n9%23
zDB>in$dqFdkdPiGx$7PnDaiMc>ENPoCrv?pK&#R40G*;_h8r=3Hb2IHAN%`LVpG%i
zf0$&nXS<0dvE7qCR_Pt*bGRp51J9RUaYOdBnu5bWOmqw4Q_~9gl1F%)UMfh2pF0{A
zsfJ-8=5{cZctz6U`Q79Ld0rWr{7*O}n&8`mmFe(3T<iz)llC1Zls_Hw@}H2g#D9G%
zIZ79&VI*EG&FUQ4=RheUZ*gdhNtvFPyOQvi%BrNJfnkcUX?Y=oUuM3p-0AtrHshw$
zz_xd(7p=9dzF$>Yx6O+_ah#W_j&nG<=>Uz!xdlP}2!$fi7raM$qRi|7?r!>6Nhqta
zGkl18*j!yV(pflCm;i@|v6GOqx8?Vh=@pF7Z5LTz?8~>$j=2=;&^K7)kW_I61<U_J
z^0e~T%Da-c!@TD;76wQR-#c_#UV$Jai?#X|+8X!(Zb!6@1v|#SH}H_)by@b0&_8H>
zdbxE1m4;e2Ft7w%%&tAsIS4h=66vAb$K`AoKQdDjKcxE7`!rPz$$m6@rgfzG6gz$E
zq>-9XR>B_d3&{m!7JFnhW!Ig>jH&bn`Mci8Sjxzuf9cBhemIpJ%-=hy8$qHZr((h&
z7zQb<7?+}h4=+>Pq#mQ@;G1&s7?qHX{kAMQMuN&PjK*Oj9C7VlB=tfD-gibN!|^`c
z#9^gKY`wT<z73Gz+8k5KnW!D6NS13+MDiZvG75J)d<6MgFWu@(BCZMcnSa>wQE}yw
z4PMP#_Tzn~`>YK3)f5A-T1mDFq#wGkBHX0q|2uiPJ=(lp(mXSRTER31ceeNgyrV3V
zF65-cs<IaRlIr1fMXKF{_&iQ+3h%jU;}cUTFejtq1<4dtEf0+_NjP%8NRt10|N3;b
zb|9Bz)^v%GPLtBdCwOEFOpRBj^VQ$S^SPL~O%JgV<yz%^h{ox^lG*p<&P()7^#DI4
zcKhReLC~Xym%vP0d;U!3F_D6c2Bj6$Ddz?gHTq%|+)Hcy-VAawX_k+O5*a1jlIqSe
z^l*EY9&Akhh>BTnX^bvmBKO;=o61u3E!WZ-aBJ5j9ghFot8pg8_i4E6*sF3$LP*YS
zd^lF)mJtaq0+k`ka-Zx*!Qa~&d==oR)n*}l?pc_K*B*2q4i%|Mz2>`@%+`!}oQeG&
zd3VLGh#2v{1TpxLW<Jul?9Z6)`J!p^$mRq4IG^ilcGEXZx%g^Pnj!<<@!Jyr?X4L|
zp;JmRLIHa{7UDG*lo@6D(o87`iMR3#yDm1-=G1y2Qzhsb!ARNseFDE#A+enC4W=Nb
zFamnlc4WBuBPSo)eic((O`-fD1C=0cI?%zm{6#b%Lg8o^3B~VZ{mv~e*;wOS%8gM9
z9(TBCbE3u~P%;Wy;VnE*bz|TBuczn5qr)o`hNQ;Z1DZv0n?`E(oUX2?NJ`c73h;JQ
z`Oo8d4g68cJv8m$B!`E!QJ%%LGZcExjSIN?t`Zg-2o$Tj9o@Vq<MP{lJUsNewwki>
zUn7DBUc)JSbO;OTf<0!;E*J0Xh_?;9j6z&)g<~b<c|&qy;;r2O9|w5TiRI%DGoZ+a
zGcT_gRT}majjlb!<F{cI=KbuHge&gysAM~^6FC2oGhGbU;FeyIW5k`J&$f~JXiuuf
zHJ=7(SR1W&w|v^jcxyS~71tE!*@#{qk5s;EOLI^4|E*-nfR5LC+;7WsB=w6XK1)Jj
za}m{O+=e3lICwqaXda6sHZ}TXbb)})pijVbhDU)+|E*JS=}tWKXD*#pQB2&DRl0V9
zdo>n(8yZ7GDkUoSZG@oiKUsH$aQqE4sye?kpe2s?Vv*}yCfAoBt3x`zcIFlN5p+1x
z$!))jiH=I3U`(!dU|cgr*1nG+sEnJYx2>T_6ZeWy=Da2sS3H}Pm-t@R;JLj~xqrm5
z6H(AmU67O9Kbr9*fsc{y+4JYo0hDADQBg$3;y%)a=L{cMU1O$ic3&>!f8RB4kW<?m
zkQH3GD`5NmP0p9FT;dXf&*J+zBUEW*E?9}zUwibNP)x5NMjJ)E#G-ftTQcc<V&JSe
zotqp9W!HiOz59RV`v$FIFBNRGr-I4d<L$9{uai^O9uY)e$7($3N^kG6od($iL6JrN
z%vbXMd`)L&3SI5msW6{|I^hXT?o$C9v`YVy5e&0TfXab?sbDDHNRlB+v-5a-UcgGc
zDb!IfK0Fi-79t;Fg@cf^0Zhk8g}_WQ{&imKCfwM7`Ow70UH!?w#Xmtss#d2hKSI)P
zYpcn#9J%P(2`&vwqzJb(QwvK<r@{nw0toi51<3Q3C$ATAE_OIcmV~pZYGca&D>RwY
zC}kgwmq#L$e-IJ0b-RP|G=BkC7Qn!lW)2_2`{o7#k?XTtG0ZZICF7hCEdn0O1ku$g
z{_O=56MwbNZw?#k70O>VHr~14iI}3uWn!}RfFNi9=xWRkGs>dH_I487wytC5DZ~{l
zQfMSU8j;~G67?6qK7jilTJem!GdWY)C*SiF#T8*4n;Ef{OwFF)zRq7!udbxs(#_By
zm<8ZmPq4;UpTRR?C9H*>%j7kS`?^&>hwd(+Y%N<0O-`2{+W{@HW~b!(kwGlp-Ou#X
zH77cx-OkVlc^csnCqc>2M^Q|K=o5?5T}Z{!MahJ-t^KRP1{ovWQBEO|2(}}WB1A*d
zq1;-s<I)d4`ud+C=5vKkCl%i--)-JR7Utms)2`u8XdnAxwv!$CqZ!UZxV!+>GTZ3>
zywD1Hzv-v08}!C5Ip44BYpf7Q1;Dxib#wBU-1pLJP+5ax+=$)v)b?uGPM=ula9Ub?
zeV%ta&VXOm*YDF%5mduTCQvM<w-`utwrb|P+>H`wt>Pf~XJRo=U+W$o{L@xHs#dOI
G8~%T@w;B@w

diff --git a/chapter_stack_and_queue/queue.assets/array_queue_poll.png b/chapter_stack_and_queue/queue.assets/array_queue_poll.png
index 9a3c1087ce4798cabb2ea96fb82f09f24c456ead..37a9f6aaa39ed6b1f85ba28f270840abc07339b0 100644
GIT binary patch
literal 60157
zcmeEuWn5I<7w#|u5)w)%jY<dzsFXBFDU#9+A~}ReHz=V<s7N<RNDbXEhyqFsT|+C~
z(hLmTjjz1n|9-jOFaBi4?K%6Lv-gT;t@W()N<~SIh=7^^0)Y@cxG(((0>J@aq1|{;
z@FBq<j|D!k93RQugA^iZ7r{RQ%(NevD=I?R!FN0e4%Q{exzj_y9|#upuai$tk;kI>
z`}-rT8^4bMa|T;Muzwv7f#`zI(;s8-_w<~<KF_6M{WD`K^z3LHNb0$>@6c{=G{je0
z(hGdxKfSNx2!RlPIsJ<j#X(F1?i=zzT2kE&Yi0a=qWZx2$<Nhx{<hx3ke4_`CYL`2
ztrj=OYpZ0mY{qKSd*A#CmsR|pkt$|wQ~c$fw0CH+jA~J;>>J|e_oF5#qe}v9c@9t3
zl4qaBQJGtSKkFS{bIq`4Yt{3~j%$ZpL6gbP`e>-Bd-oarAW*!2{d%(k)k&K)HZU;I
z(9lp+RP^qXds`~DxVV`6$txk(M%O|Lp7`$HC!C&tpV3&w3aUUBkSn3t$0{HoATBO0
zEG#TtxlQ?5onpAcR!>Go#@5zWRyIhtgu$ZgJ=Nn#aw!NFHmSrvzZjjcXe#3a8dh7E
zcjjhh$SEl+>?a$Vi^>8a+G*=^oe2Y+8Xpz}?n7*93Lh`YEmTTA_|N%ZCMd!F`B;{T
zvL5&)0>7Qx2T4NCkFL-bu}4;qx@q(!3fK&%s!n!vD9~Vp&KVoPrT8*R(Xjzm8o`qB
zGvxnS2Jlp$aBQ5cUMNPYROJyy@uy_%R|?|px`|K|tqm3=%*mb47kLWNH!!I8!FU*?
zE>t=UyS8St_1hjj3i^orQZpxPeD2A$KNh!J9xJdGEF_1Cthe`LV>5Q#!I8D`+Dh0E
z644C7dTM57W@Yv9p1uqM2^s!UkFH?Q$S(8EocY)O{F;%}8H)xtp<8Q`<&qsO)DC?E
zGAMUoQ0p>qtSv^jLFC7`TWdEiM24~MAHINzzct)a&$3YdqOn5O;+9Q~ney9zt@^L^
zXO#Az>dCxkFkotGOop3Kr8TMB1?xTj(O8S!$X@BOV_p8?rB)A|?pWhqT!`C_t(dg}
zexEaQf3hfV8eH_k&)pkA|CJ&?zl$5MI26BH-O-T1kL1U1{w#mv^bYuOPaoG&bc2iI
zMfq~n(lc2EKkjaXPtw&w#Zl}CqW?++#9xyjR$@pxo_~VZ0dCEYKbvsdM6Z$8y252`
zATMV1GZLb0FVdUbC3X&BPEdAGp@@=C!tdkM<Hr9}GIZIDf2hzrV^34?RtQ(TOVi61
zHn*fFS$NOj(C)(=M4NTH!D!wM&a<uIqlO7{OpYqriB}lS-FnX{1^x4;Ug9KP&3=%O
zOYR>p<t?0{N*5oIu8UJj;QTryM8O|ScDp!NCHj@8#(jna{_Kv*YK6(%o-D;Juj_w^
z1E~QPnOnS&EorV_|4i&x^~n&Eq*Zpgs|9h?1%8!M!NfwNv=A+I^_**DKjZB^a{@36
z&`iZlev{FSuHx+b|05Oteqqj?<t!Uz)7h6;2Kgr0O)v4+X<W$n8^Ug+5;D-z%6`?e
zTUIzE7tE4oA9Z^YYt+#^o_F$3ZI+g4qzcPzV!WEGv}pQ5hh~O-N@F+=Mssc|H<#VB
zNk`YJ&)_7WbBJy0w&4Henf&P-EPk8_!7750(xz#2CPhTf6uV1JEo|L<e0*8b8}@yn
zZ8uCB_)2Up&5{4l#lI*uVyE%n+<EoDw&9W(Lty=q#t*zA!|)kLrQobq{xm7ImYF=N
zNK@hi*?&yOUqU<xWs&B?`iOca`*E(@sc}Xa0j~Sr9%5tu@KF89=&jCu?2#<2hKqkl
z|H~JC_ta?;;{)(@2g>k06q^DnSu89dHc;JpoQlN7nu4D9#mqmRn)3SpDdQ1-L`sTH
z*ahqvQr;_H3p;P)P|Nux$zVA6hDIM(6e&L-{-0|l_~9#cR=(2PS?#OoyxmNF&e%dV
z(#6n}`&OJ-F!J4p|2ZMTPx<MRujR9CTd^e#M~DqNTYpqF!Tjq`{F^_X<7u`Zk%8^4
zJRelq176(5-He-&d9=deHeK)jI8dUo9LkdHEZfB2#OG~C?C0IKIJWjo-!sqY!hc1b
zaR58<YT?P<LgnyvyrNIfG);PuiR$NOeg3#heU2%HG8ANxMPc3*w^7JME~Ha1CB3j-
zPw0Ql0=8F^HcmA%u>~?rdnk<%3s(8lMo#%)r5F#=#uvH9@HHa84r5$pNdCAUDc&{X
z=lV2D{O22wua<CL{J^Dj^$*pWV#mTMJ-%4DXkrRkaYSkuWb^zf=4Fo>1L`}kHx}f-
zZvXQFPpctVMePiv<9|4*m*K!lJJEi``R_tC&O)&pxqKy@Nd7y{C<MlP96nI~VUA)5
zNg=gISUsZu9rs_rBZbJdzSaG=TLiML&m{p_**q`3_s4kpbqNS9ot(Age>LI%{pNMJ
z)*1eJRNd<;YHDhRhK1DDFqobi$<Q@Fi7!w=LBZ<k>YBQooEzWet4RHGPVY7Ft^DtM
zYIKIOY%{MpkH1Kh`pBA!2%57`_o2zW5_{|Jjt{oJQ!7{?k1I}R3zyEE>T9t~R)ESm
zkA<DiY<&Fq(mA>INRK88W1^>3kKfDvexyo5UL1rp!p>J=o7)U$TR@$R_tEZd_0I|l
zMu?rBukP>T{1*ss?b3LwSxYnKLXVik*jb|juY$$FrIh)-wT&3)(PtE<>m~iQROU|?
zpj)QhEMRkNo0KyCB^V#dAc#Eq#nwp|0cFUT%WhfdZ=JtQYOKwMo1^{;{F~_&5Q29i
z_wCO8-tAC7_fZ0BJjSVKSjV|FM_A0TJv_h2oo~;K{x$WfwXOwgw%+s!>%UM#qJ)4H
z!nzze+wjN!x?E(0Oa#6-_lJ}`0ne^9$lC7xhtRKFlYrC_o<IM`MZd92KoawnqYv->
zS4@Uw{2*?ZiHZNX=sOKR$X%V3n|p!(HFrg?Ay^w+w6uSC9i}|67$sslYlOcS<I;oF
zh6bOu_iTOH$|S>!3_klNTXUUQ%5SNz`|FgNcgFE#=jY$tM#EsRO54%7pKggUZuJw*
zuP+NbzAwzpjTdsZHZVw177NB>B!yu?r?d&x#Lw2NyF|j-c_;R^X|mVmgOhZE(DmB&
z23TRW`CLcbu|-ClnpUJ{sc1X}i;V#h5s|X!PX7xMvHjT?qaYtLWs#p>G_(xLEqkub
zGgpqgj2gI(?{o@G-sPF}J;BJ)yU(=H*!OdbB_04H%s2?uDYo-N|6>=fQO5Gy#y7DW
zOng+!-dP@spb<c-XMSqA9wAZ!8!EgwH0G5y6e)N-8ycu~N3%nbgZts02lZwMwFk-O
zif^LD7a6MqnSuiG+i;@_o4A%|Ja_Jdi|!70uQM9+3S0N*#29)k4rm#P?oYkg+S<}c
zkc|>YFI;Els+xM9fAg4+Ug#F{#h1?^zO(6m_bGnw@S88tcu##@U0rSM;XEyP&Scj2
z;gyw@?QN%%cnU@D{pn!)x}QOF-Anm3X?NRn6s~`!PIsCMNGdEq9&ahem5MtW#x~T8
zc>mnqPBHfk7ZTv)WQI<Kgb;}0u{I%2F!prB)V%j6k4sZ2uDGrY_vnb-N6$nmA0KUX
zY2|C*_T06>An!37dHs|j+GlY1a?wO)NHYFb_G9!5)Z=Ax2}V_HJU_D82R+Ka1^8v9
zAEo2*ve5||adL==kB=AgMvI^qGJ011pI_^IK_}$20G41?Z7Y<D$IyK?svI^{0UKIN
zbVNF|Oz6g<7qe5WXH-gUy$cEUZY^U@c3%0|5>32NR)S47)7M;^-g)A+C+RV=v|Ylt
zm@qV8;N`13KcTufOvqigv06Ea*4p_IA#UioT7G=c=8oAJa(wm-np_fx4h*D3FFozc
zQbZ3j7Kz2{+g`I)v_!1cEWd|;TRl(jmRisLTsq%Z<@&;<7{)1GEU59281>)2&6cg`
z>2%Y4im%~q>lL9iRk<*fV(hJ}0s?zuj(lUN{hr<X5#q;HF2;}0e&>i6#%o;>J{Vrl
zip3|W&DnOuF&dW1=UMUL!<Q$rM@hHg#q3)@cdtwd`Z!5NU|A&$!DP!UX1HAv9Xd}2
z2j=R$5>^#4EgD3s1b&K1XoD9m2eue2GE{~2@?e2b=3RbcEQ_q~hThvN9rsI=6yte6
zR#gp$o?Cu8kgLI=RXEmAud!VCW8=kA9a}FRQw`AFba6>^#BWtsrBuPo{VCd<nX4tK
zs;c@nOG2(XENcmunAWYGvr^<}<1@9z;3cCzX+uN9O1p6<w`K}0OY807V$<?9EgCi=
z8h(Xk{}dmzRrABcb;L=WMe+!WOG7IQZfMN$QGAwqU3ETIYW=On=u!WJP<m1H7c%7w
zK8O$>Oz?80%}6?H4q*(JL9TsR7ffIsD92}YzQ<o)R!(><hYPPQ^kf7>jd4B;OnPmx
zrg)`qgN@9D+;w{`iELRt&v&2UZlFXHJ}{(X*E2r<RuED>tOC5GyAJ87ZuZW0u3DR;
z{h#Y~TS}qv{Tox6F^0J#NP=obG6D~H-KIQ_sd>=q&X5s2RjU-Pu?Z}TT3n=((Bfu0
z_t2gGL6>i8^ZM>%-4^S96y`oVvbwXBo^8S_{Xuq^K7pHEN88OU-lgo7S<XwUzTdg)
z&nI{5x2UDucJ!Kizt{IrE6Yl6v92j7+0!FjY_fK5y5bUZZ%jvr_OP2U+KuFHT3V{<
z;5^)V+My-Lj40{Qjaa;o=llFzegh8+hR3@d&D+IA!(!q6v&PkGt73RUN(r`r>WYqV
zeB2q&w_d-OY};?MpI<dJV+k?(apche7A@~v&(fOj@m302vDN2r)dC*Ec(IG2AFrmB
z8Lvvs4>Fw86=?X|g-9geTS7FiTFxVr_|6FuC*55w>+6tLtzQ}9&Au{R$gL6DkMQ;F
z^wQkUb4Dx;<Fl^d@m*ilpWBbQ6WyhlSLmeqW@jzK>VQrme14;}PD(D`X)c@liH)}1
z!=>hO0y9VYT9Nv!T)|Q&8FYhOb{u4Q`J2x!?xb^b`@Ff54}2}u$P>9AR={fd$#rBs
zoG+MuRkGe%5<N&XcdOpUwk7@Jq8@*L%80($ay!EOh<DTwb}5dhWijHxkn_TlRV}2-
zqAMAJ9)S0gg$=-vM{L=N>8V<A=6UnGtD~^0V_@g?>pjXB3wHVY?o4^E*Smgto^*X<
zPF;J_;aHL=&z@WsfMV>%LT}!`K`=^TYX3(>gx)BDt33ka!pY@qXPqh8{4J7|V*vw9
zQ9oIfATVC#O4{qO0|X|`jVK|G@AT$MXp5Fy25+ve#KWl0pR~MfS>Bg)`4e}Vja+3B
zirF+ZyL`<h$GgIl3$Cp@BMc&OgT=M;v4pNqR*ohWS|2@0NDy4BMytUev?I#}B`;0b
zF-szY+?Ig-s<4kkjWeU{+D_ij<t0@2#b*>k_H#1AQ5GrQ>K)jP@(b=(9Odp?b8H2e
zlu7SB16v|dw~Z-H+{RqaWbqv9a1!VPMt}vdN#5%H4hj6fP<GpBTRd?dGH~TItQ#JC
zC+kh2G7^?r-k^R+0rR$kL8mB-sXd6x%tTrZS2zvQ4q8}P9jD1X+gPY;K$H=mlejZ5
zX`5w%m?pxUx9C9MG+hn%bjQ%I`@PtHXQJ1_Lj7z@R4y^8cr!ROGpyEkG1AZ|@6}*d
z(Yzm7T|I85=Q2f2LMeLp0@X-&T7qEzO;`eh!@Z0Ww6xd38dra#kEG-$B7w2)G^rnu
zT0`!mcBA7*g1}?f8?MyV=6#ie_+J4^--;J)edeqE@o;#DYfV1ma-s)XwBmyb!m6(2
zTMEPsMAY1=Prq4^#eRr6DVJGNu1il-BXP{pXyBi8{7$h*qlJQ0RZG}OjyLbk*7eu1
zmQrCM6DRlA^tXOSUnn^2B($Q6v&ty!s5gD$Vf#b2b&+VI1(S(^P6Z{_p=gZkuDCr#
zZ&p_$PDa9odRI`UT~=XmLixOrwF`dB$_+IpL(a{@+@Uuz!^$HB=VGT~tjY3$kr8&I
zN+}hy@9LG+0f6PbG8G6K8SQ{9I%H&BJwtwsMSd<a9zUBecUFhd2w2-Z?GoMVSDC)7
z$S}`m-e+vql_G9*kPR&Fo2ycZIQJe1*l+4rH&a18!|&#$O-`wBX~os#F>Dcw@)xi{
z?7ni|=UB?`*fyISZ5Itrp16WpQXBpz{6u;#RJnsKu&N?dk=Kbsbvy4f|JYag0^s_K
zJ@?isw6MrbFn8{$4eE_)>K0gvh#TvH441@B;N?xz<de=|r$i3aBd!yGv^k`0_=R%Q
z4dBh68|70pp>smLGi)|CdqkJ%++Mn#{7|<T&qNHlN*VUmI#$MH!(m?dZw`2!7E7<k
z&3WnBx0DF-i%VSN5tcA-GAFunOX5ep?iJb@V)CmT8^n+N)Br#<0042p;}OjnKqL+F
zYw=|8Sh%{H_&y~CeqUP)=>OjF;kwqn($t-TB%h=KD<fvx@JxZLL=0kM<Sxl!$~DK^
zGzwD5rd&mwSurt!M!D~!XNT+9Ia*b1A{A>n(*(p}E23`jGA*4AsF($x3cSAD>rPT|
z{DPsr{z}KyFbMQE0Oa9p+);n$cWNoRqmd-yM@7+5y9+%(<`V1&4ZGQMA5@^Ev_A)R
zi5=#*;4*k^NLu*uTJ<tTEuzZvMl9SaHCi_V4A@s}KBQGyyx7gPv$RC!qYjp)%5rTh
zo=C;;d+NbgKd)V)E*P+IwUFvEs(P9>aos>q?+`#Ll)kfdUu!ll(c$uC2C+C=urc{K
zU}HEHFlT7-9+beRY{dTc!v|qs-!VTV$1L$75SUf_^3l@B2MHpu8`|p<j{=Sw&yhT_
zsP(aXs;MO90N+;3>oj<BGj37zD4%XIiKixM6ehSX@WIKvFa0~6%udY|UC(ZK{vZZE
zG3hzwe;yYuMOX?1ana9gJAP6zfx5NQ$QR@6y*z%uLc7u7M`-8;JwI$H-WNsVn3MjN
z0uAcF!;*IjjmtYrJ2K{Ys-9|L^rAJ*H2n(Z^{(^zrO4ig4(#mgiL;K5j`p>y6~gOv
zY7`B-D42&s_?AswpW!+eC%;=?$9;P=S7|a0F75k@>kwq(QSy9_BaM8Jxz8cVyl`;+
zx!~1D8rtVWiiKU2Cwq^UQuAN=7A&K<3vwb26~|P%KeddSXe{0wgByt}-glYX&)y*<
zJn2~M%SIf`CA3F#@?@hb?cqaPLY0W#8Efw&ZYB`De&+^(rmv%}^k3nXKNEQ@k41Qr
zgs|P%-TLavq9QBTobk!L76^CELi%{pdT(Ysh(q{XR<sBB0le`)cYdw#iNcm6z0hPs
z!VvF!&q*tJw_UNiH3W6A&}#N^e!?AduXk%!`pgN225%389k*R3x8qv^JLi6^-frYM
zI--+%djzjMnd+d!D)NXr+z8By4mu*{lZsGo=MMSMt7!zHdDC>G)vpCrdqtm#x2U=%
z5sN?ikN~2=e?Cc3I5jwfz~B^9X8HU!IQK>TTj@O&K6_+MddR)Kl&4uxGxP4D0uuO%
zY^@#iSd^n|UN2HA<y{&Bz0dwMb!5L~kt5a9g&4W)C(U!D%RSq3=u*254~tN`%Pz7A
zf}myY8g9-~jg$R+@#W~yb=E9TQ85E~I4YiRIup%fzx|D5S%t;{Hf^`@FgGs`L%2Y-
z7$$dJF1%mY?xeJB1O~5H5-#{ziHq!Vo%9|;L+(CjP`6;XfBnsKXaU+@g}}q1{Y=aW
zpdj`;E`HOAU-dyP&*eM`y@>sUNMM6SqC=32b2!0!mzGBsg9UooifJ09hVMRDmyfEe
zvqyL^C#w}&EeJ3jMhW){z#TQ$#<!+wIOr$Lu%0RjTlmj8$;wKZS5QgWb$t7_#nuOa
zV9kja*CBlGLkwR7PMc5NIbxfEnWe0d23z#7kd(6JWC<a+4gG6kw*m2ZF)ZcsJ3P-B
z`ZX)Q&i*g(?zvnw8?Dz=pf0&szc-QR?F~}Ni8PFXdJ)R*8hX0A9({@ef?E&e<r9N1
zW)TW$iX(EGVK9aZ_CIr75g9OgG`n|S?l#}+-bx#l?&Vd{8wEL~%2LT>+(Qg09c3$H
z@fJQCont%0!cI>*&!uF+brKtnS;KBE2Yv?l!YavgRhRu;hWFmMD}a*3KAGmizDGY>
zKeg|t3@knN_S(!=h<ogt`Q4Fy`!k-8%C8C#QznQV9*Jq%5&Vw(QL>HVNc>_3>hXbc
z>WACha4jsD&POUNP0NDIj8-`#h}hT9wuL@$dGD}l8nhv87sR!F(=`wk1-%KGWzHjM
z!SvL1$hNk&+4h(`g_mk$<!?N@QzcPk4;fP8Pc~x^Hx29VPLb`geY*<9lU9|mhrznx
z?B$gWl*`M)rHdJeUbNBH<x#I%mn=nc&YZKmdM9Dr8E?SS%JPZMfe?==PXcbJdZk8L
zlXi_m9}B0VMw(_b!9JojqpV@4r-ov6F4Z2B{B|!Qkno}VneY9r)&b-o>+-c#Hv0@`
z{C@5xVEl=-LO0Lc-|tWgpA8_bHxXe<e>;W04hY}?)}rvr>>smSdIYjAR~cxM{>W<M
zX@PP5+iic$!t?>G{yi~%A>e)fePPl<F#fOf*_k@u2YxcZ%f^ZN_f7xK`7r8(@u$r<
z&f>o_6?y}#0sg`80`Gq&_mijs<I^Fk^nc896*wBQ&Eg)bv&-G_N2AefYFP>?Vxm*t
zn2paQ2?F-SZtOTb?G>Kpg?S%$c$vP}+mDpYj@ly(>fDN3f4q8p0<*TJ<kGJ)@1%wg
z)q3nK-56BRz+;M&(0n&eQu*TSL7CEj=YTf1woc_@f7{5vScz>5DZDPSkov+4nT48m
z<Y_w*DXnX`THtMm&S0fv=;aY8#%57YKI(nQJv%##Iq335c68VjZ-rQS?ko*FF7EB^
z1z7BG>II2rXC#Ya&Hne-U3Y(kQo_?AP_`RjE1#1j>HXdt|A31i7lZ;CrL;AdrG6_6
zdgn(=7>@zGpg?r<>-Acf)%aVkm%_p|2R%;iWZ&z7i;Y@S8=f@WnTAdYI?m;6wbD8&
zC@CquW;%rkJ`j*-C_G0Za?5RcY^=oydm;Nf$ausFyRHGNm*p@8@>?vTqN4kOi83G|
zkLRbh`pOaUd#6a>`OPuG^{bzKd&ew)!4mz%Oy-0^DMY)ZwDg=ToAusj5^=8|VFJ7#
zHADx=EyHMqY75^^pJ(vuj*EP{C}jV6KXcS~OuaHE-{)WuU3frsPRNX8A=X)XeXKsD
z6l0$~k&yM!#>dPcBQ!xge#3@7W${DuM|?j%bv;eZxk*PwEX$$7q)zdfH&Wyf1X!~O
zF?5cPl1+neQ$QcuftuH{o8e@?Rs3k0B*pjm0DyRKfaOV($t*7~?}EMmTKb0%Oz%@g
z^V`@$C5~{?PbPovPoCrayCl#<0n%Y4$H#jJ4*lW*_M@tml6DZ0GbQw)zl2b5fSlb$
z88$5=?{Z~Z9`g>j*(j~SLW8`g_f0*J4~jxk#W34yGC#BooTIulUODHy+zaRC@0!%M
zsIAXx;_;OFVIu2+;@;)h?~)4HEOi|z%95%L?c43}^zCtR{C03iISez1)dqPEd!MZY
zKRVBav|#95iu0gOe7%h_o$HuGh-rD%9<bK{jck#>USjP_c4k>xq8{hB8`}q%lOye-
zsbVfXKi?_(6=S{iKrYA;9k(+0_Lo<VJ!`)xM|)9{S^v3T9@tZZox2Mcek)s9u^;r+
ze6r_S9=zd^c#Z3N!;qn;RX=QZWh8;$)?+&GGWn$x7nD`cQhLiWZ=tYB6LzPOC`dLb
zmV=T#NHy)}>y$dVHDaCL2E|q*gb(#CUW*uRqhpZU;PC#0bJ<cF`Gn>B-X4uL{Mb^h
zJg#%a^&IsqX1T5{ZW(ssQn60EekkW6WRdc`I<vfW$9|~x>%htTa#MssjnmIsnaK-b
z6wBEUuNH0vWZ~+AG+pJSPc3vRQdz7zHFXMH#FcX60Ze^FXDZ2c;?=$uKYH5haJ7=c
zezdd33q9Az8;r*k;+J=l_x8riZL;5{<ejX9<jZ>($B{CZ4V-pIED{cTjpJEpV2o=8
zl@mg<@73<yaiNM1-Jdv5Oq-+1SFm+7ggDM*ZpfmyecWH5CqQTD&`c5H+Y(L(5)`M|
z-6E6EyfnKYOrL1*J_MWLI~QjmJ61@;<>lc~&4XT5d++`<g0?`*KwHzkC7|?9ubo)F
zcVi*_u&A6bH2Il{d22Y`PQUI-tWSNqzxT;w&z0g}A50n*7K8V8&%t~O9J)GMIrIT?
z@-Cheo-*-}tNKgwGh|jpTpH8%;pH8R&p|}&b$b(@+}cHq@AGcFkhlkO|Eyn3(<9GR
zmldly1?6ZtQevjN3rkREOuMMn+(@0gBWTtx9j#*HxR@DZT~SI`#q+`^LoR}UnG=pU
z_6Stgh338k!F`f$PwWK9Y)`Z?>T_648mR1i>s?K#@Z2ix4R&d-wmEqoaall_b4};H
z`%?13T=>L(T1jq&`^Qz^m8i-3REHnm*<jXlb~$`FiGhmY$YV#zfs%rqgj|s%l-Wwp
z?ZXa9ce$OB>N1Vyxs@vYMY{tk`;^fF1I;ZL#YnB8qxF8<m<w!o%Z8A2$wmVcTHynT
zthBn7ZKDfZyjF+xPu0c+IPzB0e7^^XZlYa>XD1u=a_j9+v_IOx3pR4z(&NPG26!PS
z4wAO?CNf75$2s#0F?8{JcCC?o#I#STpZln$+xDh!5>j(=Yi*CFNu9?$wWj#V?ep_>
z&Lla-wQfyl?a{1#o>Dj0nTwjD$7+s7E(|#-WR$R^4fXD)*ecFbbSNYVY49zWA+qS3
z8(k{XFuS90-;?9`gZu@pWgot)y8&cMmWqyZC{Gr<1Gfi`Re6c-G|LmoMppCJ8Bjc}
zxQ(VP_5*`zbER_G`D-}t@+Y2VI~<b&aBgSH!H;q*wgW4(bA-LU{OazP-w#CS)nK&F
zQy7ZpyGv`Ot+<S8>*|^)$@Xod04w0r{Ka~23o(K4D~I*_m3O&6i$ji0OvlOk+HB7s
zky#&r6Gx7sMwhs~?SDka(+R{ySJaI0cpI#qbi%!6JGev%M~{u#(Nx`KN9pO;XwJdx
zO6OQd^;GUfLV54xYqaX_<-H>aVpU3X116%P%Db%eQiA3eJ#FnAoNojbwi&xO@v$%I
zrmmjIv+^<|ofXc=FW%~tbS@S3+znmh<QN;crd%NE0uo)f^teMcx)1x5#Xky0^++TR
z;&bbk-RB6PI0swKe_8wUQ#!lFHf+fO`@==8#N9cPD6sT8JzG2+LUZQ&ydNAI`8lrF
z+aGq!>WOAG_HypbA7yNRzlxK6;p_6HNy#Bwz6lz!k(p2*+Z2i#qr;zBG0N+Y5{Ggf
zrff$m#yyq`DnP0WYDZv8$dOfU#q6=YkhU|8q{T!_d*-rb*VX9<mODphvEN{FiN+T#
zpf1B^+}?aI&FFtxaab_v(fEx-EP4Dv9@@|r_OuFciB#7E<_ty)g4C<$jJZL!t1Ml0
zG9z55%?`W3EPc}FuwXDymKG8-<Z-gGUa(7vn$Jq9RQ`mP??SkA_*P^$DRvkd9g0V~
z40<gkyAxP~4Y%4DRNvW{vAvEiU+!!8Ihm5N`_<D#Gtl;)V??XM#O{LYX!v46o}>X0
zbX1MS0V#GchjYKZqF>oyROAqq9V&S9t5s-WQnscYEW9j%@X5Lt-&&H9O@)J7S5wDp
z+{-`{mw&R2Qrg>%LG-if6G~S7-*&c_COHQs58~zGD@q|gG`~Z??QYE;=IIj2plu$t
zR_%eiOoXhd<D|^pm1dMYg=X8IdTf6$$jcNz*?F<!ebaIQ>;4<Uf`Trcup+H<NZswc
zFgS1b<)50eSe{i?`A9*`K1r(!^+ctEbK&zQ61~gkl=W3@wHE0|;o}SuuuvMgUHiSA
zkfrs936strG7&70L8h4pdDgr;sF4Q-Vh%E4$15YZmy1=KF|-`cCx>5&vt~RA^PZn?
zBq-Qv)jWhZYalQs4q7~0g85oVoI^f@h?Qr(YwuD#okef|cd;az$@09ITL$8V9Wxxc
zl{nWPT5=T|c8q>6_gIbgDZf}38yA+p2=N&2Y3D|)+{`z68T->PsW)6l$Qk%)A;LER
ztby`)hcficKy*KEG&<hATu&kUqs*LUf>J)%S2tm=0ic#SA)H&(wiAwBqI~c7Wcpfl
zCflMooO4zVw&pn;K-Gza>dqIP)aEj(QQl_WBTw~|x#B^jd%-wL7tT^rK(g>Yv%Gw+
z=!0oAk>7mOU=n}PZDCd(OlDuL2v5dQn0wUmYtI;)kBChpniDVG%LcIJP{uUxf;Eh_
z#dcnm$I7eb5rU@)V&ZnZFWSP+3&vUDj4Wn#HLto5Gs1`GdUzLitKa^xykNB6cZU=A
zKr@kcCcnZ@Y<Jj{0?qHj$12A?duO?2m033**5bL77ir&cAbSu@=MpRW5Kx!$CGw6F
z9>cEwO<rNj^E34RFk4k4T+kEdrfNn?yLwa9yd$>SaX$Wz2Tu{zC&Fj1H1U=*pr9uD
z<jrF&WlpR3F_@Co!}-vxSa#!YMR&?y50D54xjRokEalj4Mc~fAvA5GiD+ZSjt@SZ*
zp$hrFq3YUn8p_)8>QnjHmpd+S)Vn#3`zqcj6?Sv}*6z0S{(E|2Qre2XTrf=3%A#&y
ze~{rMLTFB$c@&|&@@)H<6GI>?9^hdWt@{mWN1HV$_lxBve+1xuf2B@R;gIyQ>kVC|
zI)K>uDZhizpcYin*OxwBJlpFj(r(Qf^IC&?+{IYaaEHWKN{@=$q)0?R@TDId9E1dD
zd>p)TTK1KXwXIxP>&p@i!)7P#O?VST!eB>`aMX?9OSU3}@vtY@ncd5%qHreS)O@sN
zIZnRT&$ZQ?7KqMhuIKJz^R=IL(fgLKsUSX~vRG}Ruj6j(7_%Lo$*Rn?JJPEI_bai*
zd0;u<^rn<ExwoPtLUdRAb#pYAK~3!)BcFpzB`a}@tsv{#tI?Vt67UbqpA2I+f-<hA
zNqtjI6n7iSz~ZYMW6!AqWAJ-@&lEVyPxkQ+nrfhMBzr!|)v!OI=U1w617tM#3|+T6
z1z_Bkd}$Pj!<EvmGONC1@7<AbI^m_+&&|!ka+0iy@gMF0rl3aLS9C@}@=BnGGF-9p
z&fA!%9=LZF%Y_6Fd7&qCy*#Z5q+$4=H`2OdYhBi<7gA0aJFdSvu08w8*l3|mcO5Q1
zQdU?}%|o!oAlA^=VBmFF>N;<5%<MHG)(IEeU5u@0-u#BYta9j?kWD$LQBgEEkx>5W
zx@>6opk~|9n&xgkPns7Iah@Q?EtFQU*F6M;n%e%F81IVmH-FQW-YFP^!hU>Q{y;T>
zNMZdhigaD6R72QlfwV1NS)=O7w@Wez5C2Yk-$T6ua%cWD(J)@}d{;)cdp;l$xstDC
z5%;y%n^u@9#&(Zg^QL7yg+5i&zU@x9EAvP|DT!3=Z2s_|h>tL+yp4Yr7V1KOC`av9
zQ_X5IsP|76_eHf?UM(#Bkkq)+aUpr|VURt>rqoc(=JmMGlk=-$wj{QX?++Q=`%bva
zd8NM$Kbn&?Du8lt;^}7~D?0#ij$W1&CS2Cgj;BtInh3G)RQIBRbj9<vcTjgLf8^?+
z)X~iX<(m$ku8xil-Z(LFEoA(I>u=%#uF2--!>@w<-fxLUISEq)3tIH&7czJQ+M1`i
zKRdK5t%;<*;j6-vfeCeh4R_h5d~@PDP)6v}OewJ}1x0OsY-eX@{c6SN8Yp*a?4w}t
zIGN;QKIu1owU+bZC*)mAbTYax51Tiae7P(W{Z>zU>@*126ps;FgNZ8d_7;0r?N6?x
zZoDZR*)@<);f5dgmD!4q3L~^s2M4X!g$dcqo43hWDG~-jKwo(1)|dONi}hjUa;H@A
z9+GaDP47oNN)BDiC+ynWOK&hvNFB3c?OzP)x-Qt$iU(E{id&I<EeR>(byZs2?$6d%
z$2i5M))|hUd_%?!NY$7n*lpXU3|tlPhAD21j~~p=C6K`2$R}CZog*rH-}9e^VJ4or
zZLRek-?=(>1A8E7f|GJELcbBB&E3#jZZ17UzAyw&`Dm-u*E)Cv$O^C@ymawKF$=D@
z0fa^?3XIS2yq<_=^_Q?FSUKW0ww@4o{X37ckEalKXZB|+!w@7seG=4+6{M_@P=cUy
z;jQdfireqDhS6jT?BPxhX*pX*&4FlTCVwn$P$H#boLbl=-@5O{cBB8fB#Y}xB&+e`
z8H{~OB*)8j@)-O_dh6*OGQzTI6kl-NHF~W)=T0V%ax?YfgAGqa^6vSPd)bW?ukG!2
z2_U>=FWWYGwFh*D_zYMk39Lq~bL_AhpXZ{|xAfUb9p2wZ6z*|n98JRuc@FF``FT``
zq#_%O{5&<9+`3BN;t}^%W+?(Y(R9K5`sp{jh{>OtPdXbKrXx%0@}2CZq!jyB7U5ch
zwEfrTtB!?@a%b{ciLEfwoZ3Ya;`dRj3J8;)!AW#n&zk03a}x@yeeHQx^Ad<$s~6ur
zUOXjGw72i@TNN;|Lc%{sroY0z1oC33!7^IEGg^%FP~XGR$&T$Fd_{&77Cym)6Aa>H
zKJuf~e6p0hFbRe*IMxwRQ(zk^8K015jaLn8YahFhP$5KXKEuUreY#fHLPm~MncZKv
zwXK@Gkq&mD>Pkc%gplwTezY|7%4_0BYj}Lh5(1{ZaZQlg@pybl&j)pp{e1pb{0joO
z*p1-?f3Lz^^;>i(xvTY@ZpRHcdaycW#ZmVc$QY))VPSF2@;i{ij~{ym%_^G5nH3b4
z9d`juNCk<{nwZ*I$UCibXhj5gFI$OxorYJ}t_IUSuJ9P#wyLLk=ulGeYEU>hTREk0
zVd&<SiqFkreCNg0EqIeYz3<tmePGD}7so6r%fo^YKHOw=xX5e&%NDs#>NWCV1U7`Q
zAPD^<H@(YECK(R0)7T||y-hUx(Y&7NK~%sUX5ssKt=ljG56e%>jvTHEK(0lm#a2tr
z^G5|S!-hVK-Otw_!uTky9e25qHCqeeF}_7TGnOyRJmuFlJa+q$h?70ac?I*N0rJ_m
z7}WSPH_uL?!L-Ly0=|PgU8QZ}haWu-20fG=0|vCi*!zS7;53>u7liqU^!SD+_@iOX
z*;><FCy<7v#%rrVn6^ZMFjisM04%bQPSXiFQQ#duT4_J@Ff@@bICe0(3nluH#6WG<
z`PE3+*o6b@A>LB1`kI<k?#>{}cr_+#vfXmL%Eu~w4+2}P@=-6N(R{+a_9z48)s9GE
zQFEQ~4WY%pBx4+dIC<4;g+Arm{bHPbQIg2>y`H20SAsl^r#>@FEnDegKk3G$(*${L
zR3fsJnVA{+8Lw9tl`EPuXP?{W`HI)kZT<U7c9t#S6$tFh{<lcsE{=kMvAM)hr&>Rk
zL5+H7#VA~A&@tOtM^6<_)tsq8&zUn`s#ZbS$NthedT8307zP)2PR1R`cipv4b%1}j
zSxt_rhdnURh>g7cqph)1aG7@z&b7LjLM1Z4i6P{sf0Wv@xD!QR&yuUGnuQ)KFrJri
z*l2%|GC<aUXMM`dN%LHtdB<S1x<cON$5sSo-?i&mbYUJ8oz}VyoT*=E?Ca7Nv`S~!
ztLN!un%fRQqEgIxNnI_<<?}O2V$tzzWrq4=q5o^F^R!mt36GMq7PVtvxySi;Cv?_C
z^CrP`=CXbiy308CsjYXpDec08ymnZ><l(w@_N0&!=EY7_EpPRXkAtL{tG&$B?O`8x
zS5DlHp|&Ss56_EGIAm2k)?CSLz5FDzvOxb+fjQCs3PT}&7pUZF`oWN;-yd}bSH|3M
z_{JQwpqEfMQjj(<Htsr!*+ZNdh^vYpj&vmkKDh4ZhuzEfQ5KQgZ%7=!nqiNT8Ibce
z>8O;yF|N(!9b<$t2|nB9Dm9R<=UZEeZTH+6cGX)oR}bFpIN0*V_8G}<Uw^*F91Rlq
zX~Zk6gWf%({1<O650o1u>JC-5{<u9UZ^<pSx^kMpFLp=l^DkZt`#X<#mU0mQ>Fz4k
zKGHLo_!ntdLXRMzW+Q|1@c!uU1Ht%h%I@%1@zGjisVEDnOt}QX)+)Z-)1Vn8>j$Z_
z9kZf1OM*X*k}%YieISRKW(Y3yxaouo2(338$ro<CctrQ#3;78HFgJdnzd-Tdaf$a}
zJmZ4A^FNpW^=%E599-rd)3p8=SEU5?<~uhA{@{Q9N$NRURB0VhLugA?|9h4HqHs<r
z0V12L*kzA1qUS||nVA`BH|ChDeiF1e`+3xIHt{G>#;EIi{-5TUFLI2a#Yc>&hX8sy
zMK<o=d4D(m^z`%q#Cf}4H4{eu)1sn7rsi2NejSU5<92yT*oqaU|1Io&1C1-%<YCF6
zVzGVmBmVE@9J|^mo<IJRb^!-kOEJa0XlHfzqAA$6E9cZi&rE@V#EZtGEupm~-j{%E
zfL{JK*{xE1<Fc)PzNOZE@3X~{7$uDLHH?Xgsr1%b0F>Jm((X-c%=nYTJUaR#dm50A
ztHcsg{4FCAwAj?Gv7mqBf<CC0>gmx0%UXfx=?JHz#0%riw7t`Ml@$pd#{oB6@C=FP
z`5ku_>~^^7(`4QLHMWOeggflr6+r*T#(a?g8}OSv{4e_Klo(jOJy9}`fU}+Y>pw})
zojz~sBj*1~iQgeeZjA3KEc_ki{1)E}VBFMCKI-hjf6ul?2Bc?_Cr$2;@!O<8da&3v
z{?LvpWk3o0|2O~txbh{BRan7FN{C=vgC7{I(^UlZ(4YSq_;GY}&H!z1Y)@;)uAS}V
zn`c0V*!I3wPtTCvutzhs)>qAQZ4=^nEBL<jAK%hnz&|^ZloJcEFCV`1AbpwA*b+uV
zanb^>?}t68yQfrtI2V3aKJ;h0Y>a*P8^f*27%yl@=gJMU&G979wfkSw&1r{4l>?F)
z{Up8<+?=el(HYsK(2HKCjE>@T{2cb4JZ5`&81bRX_e6==Zh^#G0^(nFN~8*l4<dc}
z-0$8U?{t-m8Uc)q*0t<+1HP00>M_7$+(2z>8C=>H63*sY?9zJJCwt+F;Ipo`NVQYa
zbTu$zk%tG*T=5vY*|EaTCD<10Y7kyNtzELQrTR~5W!GEV8C);CjvK0iV!mET7NekU
z(V#2Tb9D8B(zg^9J0Te`gWC2d$5DLtRM8Z&vUz-ztv?T;kYozoxGcoKf<h(W<M1PI
zl?Bhmq8{5(s*}Oa9C(AGxS|#n!EW%i^Zqkr#$@?3o>^n6cL<Bn0!Zb{8+Tvy(E`$b
zuwR%DU&&I_!qBVyRIMcS@W;kPI>O3t!L%PvOS^5YZHj;Etu2c&t~!~SVR4xMYQQT0
ziwqNN(wFtXQmuqpVVxQN`&3w^b^NO7MqAqC=U}-Ny{HlnGkS7?5Qz|wj>ukkF<<fb
zHsugnQaU^@%;r-oFX!VWOUpP`lMKYGk_S4c5%B`~w^hKunYxF`-80v)Z5j`v!sf4h
z^E4?N&{;{-!Np&y{HtlwQqs6Nx&?AqQhZKE5#O5-pIy1~;>&Dsm`J(R85y7SzB!iS
z)xp)DVrfr&TE=Lg_@I>}af;;4+CK$lX{l7->`NM^kM}M6<>){cgRK8e0hbUl;04BT
zmX?>Zm6A~1-A@5zw=g%C&BTBNZD*1&;I%wG!R$rI2dY2+$9ze^fGyI?Xf4NMijc6f
zS~QIi%{l}nBCXBMP2IZU(`EorEk!=2kH~gipEz8rg?H+gTMvM!VxrQ1ve>j0rEuwA
z=Bg|TJdWPCJ}#&&iwbB+DIPgGI#Nm!Dj$ATQgSD1=!P92tR@ArD#UJ_GWi`9(7U7d
z4E#2+p#G%uYGuXd<niy`Nz&-XrGdPigu!G{&rM$rlWNr~SlC|RX1ygqmh=Ee>|iDm
zaAsj&US1R!dn)zX^$^sPy#Q(j^}3_-A;V>({Wns?fC&__sa2>i=#Ada&(D{9fjjcp
z5Uyo)ocUPt{;xfhW-RhP+(jJkz|n#Eg&+nO-Rj`k8#ax=TbjNEoP-3>|D!8FDQBRc
zgGt1fax$C%Xsk<JzaD-!Jtya@X137)ha$x0@9Ay<mOU9}2?f~lAlnrVxeJx$0=js;
zk*oWN3Csh-;T>@A{qP`n_Cuu7vq2fiN<ZVTV3st_&*lA7!yG|5q*O0hQweQwX%mOj
z=Z4~S#NL)#4mjLfM*uR~U1c(eFyH-O5+TiU%eWCTA9xC-|M#>|264mc>|~GJu4+!b
ziW|Xf-C{QZ(+uo?0P`(CHKiBzh<!*vK(JlYP{fse3)r$La$}+*wHF|}6Tq43tm8P>
z(PIYc&qZC$9_8<zv2$>EZwmfJoC58?wqAT5+m`j7@Z4Pa(y%*st|0K~B0#h86yQv(
za5UY9vR%97x;7R}@9}lQMn)#^!Ln^5(pN8EySOPDKXzfb_y^W`+FP)}d_aiRT$hkn
zR<3MTfQ&sRsu20z5bDC(UGKR!o^*`?C^4P^aLY~{^4H#|L#e9=T2G?M+t3!c-&D)I
z9Q))r{L6W=`JYz=Dnjx#c`xfalytKGl|%(Ai8}w#QxXQlFE~HwL*}t;s2!sQ)|Ipf
zdNlv}(HjXy4Q$zPS}Vhe<+|z41Odd+W_w#tyFchRNX&kJ+CHotzIBV6d;K{fS2teK
z#H|$uNZyC%OF&x&-SK~;se9zzGxMkPysVAW_5s^b{w>@FQts?4zg88vcI!8?Kyc@}
zQV>pyy@vH3bWYup$XbxwD-aaf?v|qH7E<m^6jak%9C&@IXgrf~gEuYdj<@@i`PCeA
z%lXO#)rqhhHG_aS{E`mpLlE#>qK6u@;(=Shd+29?-Sj>E78IZRmh)1-7HG%-1!)3|
zlDc-xLK9<*)7n@y5Oq}Y6VN!36+1%JeiNU6Yw)=~lI<^m<ie_=r?)H;m6Eb9!gMN<
z0nC8<LU}n5c#0xFTu-3zg^qD?aamtLn)3Y>KI`{}!#Ry^=<P*+IMd}{M%F(S3c6sO
zlh;Ah@Yb7CHVSDpL@o96>22Zd6DY*qk}O^;F>7C1TH1CAA*K_`378X4fM}Byyng-K
zc^8z90Znh7zNdl0;jcz62}UeT%4<VD_$t%(vU)w4+i;PIzx>-%WE{W*?(Py<AgP40
zD-;!?b|}7_KhfuQFdLIVx(D(DIfaFq3wh<A&YdSdY85|Di@6HAD_&{n)tWM$3X=rm
zOFvwH?-u_T<a4KJnN%7G7anmosYI$7mhEA_XgUQh%)+Xa>tVYeDAAi5xPyW;yOAl#
zu)si90yVa#$^640y~3oFFPBTs-Uaa67V_f9Ml~L<v-ttG;pxUe?%w1g0AUqe0&q=$
z#S>4+^GyXTTiMSD(D5!b9YCgVtYeY1bK1<HQ!0CVqs#Z$Q7`t_Mnj;S1pPxpzQDA3
zV7(h!9)KFJa`j|BjQK@%0r#x}re`FK!(*y${NDT;<bB-d6|GI81ib+J*xLtD*o1s1
z*^3rv1NEj-kbx!InsECO7Ef+V0DHM#($3`xUNJD?K2KNgZv||rB>VL5&_M|+u)$;J
z?Khq3XPK1!i4HAPNa$&|tA96e`BIhXOwe!Fiy9WmHhh{qq~4VVm6VjoF?c&oHwCsG
zHFNt+(^6`N%f2YTSmx5=vGg&U-)8tJxKhd0Xtjt_x$tXT!=}8cJtdMU^^XAmwN7s~
zPE9R|>s%~LveoXh*RIE)?c@epL)#NP5o`zUdyrsP^Pp#a=36AF0j^$^3IdsPv17BZ
zf3;OM%B2GGbG+UY9=^P<Sr1OF{4{Xy!5p&g*q8K-CHh$NJ%?+Ymsdtg`J6{Uu?LeD
zPe4d$JLiiT@&!#SrUc$3A{!D3iwc(J<&UR^jC|_>Cqo*cM0IMFAy7%|?R);9r)<g0
zGppm%c?Q}Kw}8+<{HLIcfXC<|`oP7df*&^EYThTeytj=oFV)=Ye9}A>4%k3q(6rDm
zE!nIe`$CjwQiKGMNvF2>BA&>tV;_T^6WMXHPvw$aA3uJK6ZiEoGs_$tvW#qIWY%+M
zm&Mqd!K-Mou<u<|G0uC8;_UMB6rs=DDTwfSkyT*5U0`xW)=%owhciwJFc6?aM5}pR
zk=wddtOsZxQ<jA6W0wTOe{jTK7>4vTo^vyN|C=lIOO3&=`zj!&!S;UYL~}OsSC*eq
z1dMOg-S|8I`qwOPQh~F=M^7#ApYH9y@P!)~pLSRMlgIXFne(i@VFP&h&s*ugB;;SS
zJU?x?TzHZ3uXz90Wu^fF4xX3!ZGpiq{JL3xY>Kb)-9CM1HB_)U0c1J3xu}V4)yIIN
zxOCDKNa($GjS`fW4&2?{t#cgbkz$<=F9GZYCNJ?(L_&fLBNaBlQYl`W-vA#a*>%Dl
zYuy4^P>|AJ0#qVZeSO*@NZhZR_<3373!qnJ*^fH8yH_g;lNEo}s?AzdOyJ*H?34Rh
zR4M}m=gnzn@yD(FYBlV4k`g`Z84+Sawx}}D{E-BxL0Bg^ThqY|TzVBNfJamffJ2Sb
z;=2o#oua3U`HDOBtC|!7bn}9q-jR_J`B=}Tky4Asgx7XH;Ef;P)gQLD1*mex^ENRG
zVCU?>4$b&9jL|`Vl6J$F0L_aqB|03~u%@PaDGGE!8pHF?Fr#JwQt((HZ6+J)zmNL$
zz`3e_w$S*V98SWNl3w}OIxo+uk${#?aCryHZr?`GWyHb3F?GWCC5;DJr6u)gU|@iX
zib^3k{Dp`j;}k!Lj4MSiqF+dS$F~`;IkjYai+h0613l(o&2JKO76avw5Fd?#Yok6G
z^g&{IFj`;`)PY6;ws_i;E(3@+>!2&m^)mbD!~4Gk=*xYHa|kp!1;rv_f{V&yz;Xk;
zQN$U6J|R3NxhC6{WPR~z0qFULF%Z#7F`8i4xU6~r0uDbfZ%!-dtV_6Ma_>!Hu*R@X
z7a&(P9Igq^>N|GwNv0b)zB*QP1XZ_5z*#_R4FNu*D8Mil8mG1maKl+rPl#I!3P@=l
z(H8pY^Smo#iG$pg<_)<Dycu@mgRL9Y7qL+a5-0Bf*^ozJOV^7=1VWrwRL=}Json)n
zcL6~haQMdN&Ofl+S?BgWXb0%adaTNUHOc8w1ik3<znsl!6NbWe-pS_qL^AT%lv4R>
zm>!R*tgzzTm;O@H8CRg+t~Pr5Mg9<ccKOt<@BjRvRiGOc7e_UyU6?)#xMOOE=5bSk
z-@>X+JJK5qps1a;Km(ro-UfZH6&izk5dUHPTTohIJ!{#<Fes=|PE^<?R1AW?kc=#!
zQ+g+Q#|wlB#6k;<o##glBFfX=2f6GdJPXT+e*gZ9FYgWz&qtHQcc&n>zU8$_xE<ni
zv8K^Cb<zzoz&lwQ?X<C8eLY2ik6DeI9<CnH*0NkH97(DV*>|ZT1vUzVXT%pn9)rf~
z#svEYLHErkVHwsZ5umlVaUzPcbHZiRRx0R1u^@}8j?Mw_&8k>MJSPBi*DvMfeFtsf
zt8_I!7!POT{f%j)UBEjrfVz2)mUlcT4#*(E*JP<qy>|^X{v==7X*pEhb}7n-j&>#n
zp=uQfy4xFVp$h&kqhx8~cweNZ!UQH%w(}&XR5N7Ra{Kcbw;!SbRZod9J+YI+4k$M(
z1tzx<WL>lN)`;mvv~d~$^gG3?I(M=bK|5<aT?J^SykaL+BexYzh|@T2_%EKZKNHz$
zEKh%<@`c2GD1j4S2xwIuVlNrM0k<Zhm5~qhcn#;WzHwgnH1PK7bEjRjU=fTXPe8D8
z!zUR~MiT`ccPD*)_3pa7;)4ywwo!D-c83(Qb8?nPNvoWT`K1cdEUD!@Zw;=b<ZTmb
zdgBsNlc&sCg2wzY#zwp%nq;WA1mgr0McpQgu+}3q>nt(k#CLI-1uNf^cF%|gv$O&H
z<6yiAv)Ivwl*ROLrs7I&we>2h{B<e?89y0BP69L-{<;wG8t+a!GDptMx{%^MkSKlL
zISl9Y2E|$Sf~0htaLtMM)SmfrshSNCTdCf*ZMPw8<xO+`nkx?Yt|gisfm!dqT2Hb6
z1t(8^;tWV#DTU8}HDK)4#o|%O^-kMqF;I*7u2+DiSpynfvt4+gD>qlv7;A#fooZ@o
zgi2yGa#EHeT!dcP!E^q3yA0zr@C#&XZ+lFzA73*zzs&Kye7PL3HZ67Ay1MqPdS~tu
z9+JOYGg+UgR}3`gUU<qO@EKL_u|u$T?_W%8ra0j0-ifN%od+#vZSC#OnTA16jPOj(
z`*gBd)O$o05o`2Pf(|1OR7)X}3U#$2-NCd^Pw&CY%a4A&Xd`t83gXD(6Z>8?D(5t-
zV0oHhSSI?2<^P2AR&gdBY=Cp5at<Aw#F7m-Yd@<U6}$LNksO-&c$G4q_<-o`^y@td
zy4<NJ9<^J{jdO!#LP4CVdMEF}6kjfZwaTBDvA_5-+^;KKg_;Fm!`xgK*;mx#e6Q^R
zPi(<P!|{XS^t*SLEE*n+)|cPYfzx<Q1N@V7tSol$AuFo|(ZeVR_)`tY(>E~z)FK(;
z@QYZ_NC`zLHQ9V2eckr)l)?E@0)R#+FP9|aG!8JUd*5Gk#~VMY6+Ky0_I-3A|LOK=
zY&tP2IG>pDS>`omJz(Ln7;%&O03hd-=JRn~ZJ501M++H?f~BRUin+IUeO!PI!CizD
zw^xtMWixYgyYU)lVDymG&$B^;u#j0BdDLlTBsnsYtnQY@FH4)wl{y(0bojbGXYcC$
zKo9&4;FDjFPXYAFlp>+IIey6%WLeYjEO~bTxa&)_SiPCKpcRt{*t}vqpSFFBiB8yc
zeU=L<)f+%JKiZ&y&FeFfK<rPGl!~&rXv25Bz`1sbpXi@!2L0PZweL?`qCvaF;ro7*
zg+M-DZ=m_U+dXoiePSX<HKQZc@`S+q*@V}Y;;iM$9%v)o6Kn>33ujtEKyVBC7o(g}
z(H<iT0DD>37H9?s>T&POR+so>u<VOM0)1t1j1%Zp>lp%XN60Ih@OJ{{AYKdW@V!8=
z&?y_4y<oi5>6H%#e$jYKmic5e?Xu<`fSw%e?DW1z4q@zvTC<T`Yqjf05C+D@82MBu
z!B*9Rr2f&T_m_ad$)pz$cr8)tH+RkmxHK(&hd`*YqWT~gW9?{{&g~7*cg<bD{fLM>
zCOX<>ZA@n?y0qjuCR>Wo?z9mLM7J>OIC<-_;W~l4sXhyVgaib3bw689xkH2bI;SsP
z0QGiqru+f7oyp@}fpRwx9K`K>#?oUwqy7Tpn~D7#!@-})SfzvgNJYYA1GIKiw1s77
zXTzEt8wI;+YxO1V-&76F=aLdKJZ;1R)azD2=HYeUoB@&kE}+k=wR+|Dre)c}0!uGl
zHguZ?uQ^*b@}vFdN&Cr-37o9OT-T`mr760fu7Q_7WHx`^n(q?Gdy83r0=U&}b$|&5
z7SrJu?*GmP9OjRYih3X-3V~d2OuL~9>N@&NMIb}~6)x|1;ex1dShddJEdr;6V8Hez
zbc+UP2^gs=e9NwT5v^pEb4|84z7nK9%}W;nQWyesJ6(hg{Yt_KyCZShk0&^zPeR|C
z>Xxy@8<+pX*IS2GxvXL1uxL~yL=Z{o5~LdxrMo+%8%gOfFzA#<>24OVC{a;Bx><zM
zwdjTg-z;?RbI$jRKepGtUSQsNXP$ZTe(tH+{;(qW=H`{-UyrvkjgB7-BG~!SdpA%i
z$<H7}dU57@JH(QtKk-MBv6nsoC&wW=>S?Y%@Ca|^3EJlRa4)r8wM>A&33~k=ABe%_
zWPsyl>0dNO0)dg?23QnLk9|g&x<5`WIwoj2QLZ5VueObU++A1jx-X>JVA6l(^~!UW
zdW3SC7c8=e{^v0&8mhql-xigZ3|U8LFn^koXy+G?fUo)(<?8HnH<14G_BLfm6VAA@
z>Wda&BC<h5e<J+vv<Tn44W7X;($TpcS5$ZlrCj8Ia=9mP|4~*1CP=GK7A)R!y1jiX
zV0#J#2an~Y_A)`^$R{oR{o(<|V6yv0<VfE_BCuB+AZaugCOt;DP4c6s=b)RO{xu}{
zJ7H4MmA<&zDL}*XJv|MZ$o3T)Mr>)@yv9EhL<`X(1M2f26Kzwn5|fWsUrQ@qFF<8#
z<{bs%Yk>bgh@Ac`<Tm)VLqR$mblqz#3>K6^1gdgB9=ASo&BOa=DB2826E<tcWX&tE
z@xTq&nAv};;yFCW+%L4-EeE5yb_c8{=&WhN`Ll@sY1{nzxb3ygq;Yj!odA<lj!7=X
z!3cx<Ub?S$9~CO<8X)^6-ZmhZD+3HiI?8aI*HeVlk#Ik#h<FJvqyI}?BV~r(j59vJ
zbBl}&M?x8emL~K@AN}*$|7`d$AsDG}C#^vdlUN=sc1*_YfG7Wm$)E3hqX(Wp6}kT>
zSNHGF<QRaAJ@z%&|F;_YXH43s;Q5<Xl=t>m;AlStdxebJHCNE;eH0L}@wM_Dmod)L
z2Xn_j_X=^w@JRW0XpM(bXOd*MZdqD29MPnKfU0ntwq6#MT?<Du#Q&QUL5b$Tt^Q+s
zbMud)vcU&)M<CXIfhLsFm)b}uhl!fjbA^2%2Y=o#rxXJ6)(Hs-+FDxmMQ3ZOARK<3
zmkdD^EkCj$1QcL?HaTB^FQICF|4cX!V*RGJsYy&!)bK^w11I*cUHtb-FA6FehXGWQ
zu>2E9#4&`S(YJN(P&Qoq=dXZ!O!1WeVV+_~2>)SmhMYn(50!g1MF4Q2KcLDh;fe45
z5kGWH%8z*+#yv(Wbq1s*{bS)sV&v|Nw^CjB+*l%3G~$Ah|3s``<=et*ohNGw6_f5C
z92|I&j|!9{Kk+{_Krd2tq%8IKl(HBA!PBWuItQ|Lmw`}@AAG)+-`o_}KS#J98{*Zk
z&F(^qceXD@R48Exb&gPPNxZi{1a&dZJOwG(5G@iQ@U_gn$g6xVYI&VF`T^1<Sp1D=
zV4F-Q_!VF-Zn!FlJ3HV0ca>0*AcyM09u7F168`6P;E%zv*8q;QO5yjOp8t%<s-~@7
z+q|0nHS6Jv;e=P$$WA?2Zl4&KmGHOO|8V@iICKxhi2oJa{@shL9?V-i_Hi}=aOw|&
z#1qn~Z=SSF@+&)Ba+dPxh&iUxgT(BALhXN~b5cesCjWKdL0NWM8l@9v>C08wz6@~;
zFP6p=Uzo=KcbNNEzx5wN@FlL|)Z&VY3T5B<a6kTAfbg-@8^TM~sGNZnaj(A)Xf~&H
z)%AZ=q7=_H+h4kw0H6P=<=-gtRoREMhW^g;FW;N#2<3u}voH#y|5J-6yn+6tb)bML
z#gm0VSE`JnmPt6}K!XejS135t_rw@a-$-p>QKU#zx-fTfGT1`1OQcXhfnY-{5b_0A
zms(3~5p-Oa6?6)(b=NGLCS?NY$XL`dPR?LD3YB7j^pX!IN9L3Xnapn#@lt)i-+z^o
z10lxb0b7pS4yUDWZa~8voTC&}eC}SWz^;#=LF=Ih--b^$g1+bE8=H|)CLI8E`W_0+
z$eJby)J#Juhgj9Nmr0X*6R)64y(SHW@9xt@TcY&*p;QAEW;<bpdCu5+ZIYd?QquP}
zP{m_cLLDtRD)hZI<D`v%#V=(htICSj4=VatQT@knfz63K{_W;~Tf>oMrZG@{qGR`@
zRfO+>Yd0Cx_$?;F3m!7S^RIjXqu~$?j0Wu!tPP<eJSNhklqiA&qIV}=sga0OV$sH_
z<5rR3@3qrjcj=K=dA#Vh$yx_s9dNNAxH<9Q*s>nfH|S$}5mgXnzh&qVu0GYxH-cRk
zdI)R2CXVyZeu6_l*M{qASTMu{DI-$jwv(Ly9tE`<^Wb)sb(BmG(6RnCxbUxdgR&<B
zfSlh1kaIqK7T<FaClU8P3Sin)uFsbV17GQh39{RoMn-8ON8KP-7kq~G0fM-&d3=-T
zO+#=5ozuM~WtnVrxMAuWnbP5_Vgn(6$oaWH@Fr^43UI*!+SY=pmonu*{!ut+AyN>~
zo((D~*F0W}fu~tcnB?frcfAe%)!?xvZNS>rLOcC}jn8aX$RU-eIMb_c_#bk!zhC?7
z9>}_oiC=I0PeG4R5Pb%NQqZ2_QJXl}+)ba``<VZ8_N8cFgXa&v=Gy-|p+7%A!mYqd
z^vl2!|C2>U35<f&7P{Aogr5Ajo*rQGaKRta0gkAD$D{Q}y{zSqF8HA%SQ#oqQ~SSd
zD(ILRI>AS1`5W2G9jHVN{r@nv5Xw2CC-ns_iMPE)&Og~A0v-d=uQ%iMs0I6vUm-<1
zfQtGMZwE~OeH>zoyG{MemPG>xg2x0>b!IoiH~(upQF`n#cutvoSNGrA@SoLU_<)vb
z#yF0V4f{t{q&}g>dhDaIPZBZ=nA=p+ZF;T}vRA+Gj1<_|XNxGL2=2pR*8cyWFDFNj
zEaj^GH?hjf4qQ>q!vXhs+<Kj0qW|HZ`ulD|WuSp=?NM3-rMSUA|2-KN;JC>W#TEVc
zT7dnSLRHmf0FT7~_52e{8<U>;*PQ=~yVHSp@;o1l6_e043?#`!GccO}UDsF@urbWj
z^oy?v<(>n~0`ocj0`|W{dgE_X{{b0Ev0Vc}PnT+@-@kkMlm&d5#T&&D;FQFGJteAq
z_J3nrKB4jllO);yG`xbZ8$fw018O-0n8Zpz%YCLMpZ-_W|Gf7N>N$^K*}u#Ze;&(m
zqYHdisKAl&zB0i^EEUgp=0F)21i)m65%=l(UqjMGy`8^|z7RCl)XawXs%vgP1-kCP
z@-nEkC3FD_+jmT{$uL(OllY+&NE*`r1i1#HrNu=?2txoclm%ecvJtWGuHFkGnt?4)
zAkf(EXs`mwtnvD17W(@7Z(hyoa{!X$jGlqp5ZwC5Kql_{5PDp33exU?be^H9Y36g|
z{O`D56=}uAjpHIfTnD1N`4MY5gzbiRdGn#h(IYlxI-pf=qss)xEy}ymTy6gjDeY-Q
zxnL<{k<_zim5qR_%XxIF@wdP*Ni$mE$B!W^V>hB+NYE160HOH<jsWt)gG-2H`l7i&
zJ$EmQzs;JRL;2;XkgL(;_0cz{W_gw{X4;#h#=XEo)SynLlls~fGp3vu`lngTp!O-#
zcq}EfCc7af-Z}eweN$6YEP_KCp7;TP<xhEiEp}B~k?a|08;?~6J2R2Na&*<sO{fX}
z`ope<PZj<LTg{=5wbm^~MJOV(UQz9qIrAGoPs6)p9<+jz=H#LNfx}~ikwz~Ud**9)
zASieRqK1E2XF6G>_EXdP5@7G%2R}87Ky%o#YUYD8UksZA7Bg$>JXP6GAIdrFL1p@s
zFTmg6$SxiP!62~>R_za51&Eb830O4>M$+86w#_AKcA*=%B&FxmwRbDjd4T5D$0A4n
z59i`z&EOTml$7B=$T_LIV7sA2Vt@P`hDfvlmpL(Z-*<lwA~#rNGm*4EM54hfNtu6@
zQmjlc|K9{K5EDRPNr;r0ji=BwG&@<c>h4M`AFuM)pQw7S@CT}6${9K3ZYc)O<phT?
z6&yl%2JRor=K5YrZ(s{lK|unG{GiOn(vs4D`?Gp^B0kZZ*5F68<%xl$%k^V3dB9@|
zs`Z$AgHDh4qVzf*rUq&=Mlyts-d~AzEEuM|uoCz#IYq25rPlD2jCj;z@;61r#Y;ba
z?Ae^HarS+5eabp2<Ta74CWs-RtdbE|TB=@yHgshy;pkyLq3bIEvl&Sh2oFpzWyjVj
zH~J{e3<CTXpzC)I^7yY5?-=;h#tWi>&yR^+Wm?PDpij+uy1cZLP#w@;AA&g%{P@GQ
z8_f-Q+={nXuwomE`{ATxbE9OG0ak6X4{}gXnSoYD<)eWjBLoNg(=4W+na9`x#5$!?
zX9l1-P3#OgutSWGZC8l@m!F3r9PCfK7@J6nEyM}7>FsThr|Zi+w22=LSP<k<tPSx|
z38`1A16LJnvly2GJz+}l%+Xzg&jRd=7u0okZrq@c1{SzY{?x1iYzNrAXskDZ(s`d~
zA;0lzMht_bw{p+?$WNQqh*1?bkiCBLmgnkd%CiGOt%*v!`$rtwP?)=@m)Ebxh$o^w
zRZf=eiTGoH`T^^}&pz}kWe)H}$h<#zBHDW)0D9pMTBHH|Ibvnaj0_3VOQ7;nQdqdd
zrDbRc%UYceDoPMuA1kL3be{V3<h_CZ%_QbDDV_F%4+MX#O202yu+h637{JSn2%hT$
zsbV3Q{FauMoSX%~QCN{IiQFFosVo>EfoTFPI|4(=1;xeimH-&<cgghRWPLTYUvZb9
zH6K-Bny|^F;<0?wR|q&1*vp%E=;`MHP+(Ws>Lv;)<Fx@2@#2TWnyLT{Q+x861aL97
z15k~B|3e&c0J{0C=qAt!>~h>jh@0ru8gT;gsB?Ub2lkaQ<On3QL3#Yb`&{yJPZCsw
zYdUr1N*=4IL<T*G+XJH_=V>m-r}g7nLCFWjK=8TyrKiro7N88Pup7z)b!`+s4d`yY
zzOxH(Hfrb<_bvek!$#}n1)a&0N(NLyIW+7C=at!fNhh^`7f{BgVp51@@VNx|dKJ(s
zR?vZBBq$({6_ksVf1W{=v_Q?Qmrg(G;vVLWU_jP+?b@}TW<b-;@^ME``>EScXcx;4
zsLDIEolLp+AyCi-$NE*khH<{>-3o8?bO4o-jOTNBmn*uw1%PDY`VD2A!V}QWUfYq2
zymlS%TxEZ~I9d3AkTX6YDlip+EoGCfk@f9!q~@aual(vc@;CLRUoTT%zTZH~cI3#j
zJ;_qWl8K=3Y{vs^iWVK=15hSX@0I?~hXvozj#KiYx*Yho02aS&wLfK~2@nfRP&k5Y
zZOaF+L?}jrXJ{oq4gm>g0KjZfP*9v6BF_4yZys#T&W^f}ths}znE->p2<K<bSdn!q
zQ;ZTg1)ckR4P;jmoQMU|q6LqD0_Pn%F=z=UW@S|q4e<X)!=+N}e4g*Vm!H=K+svQz
zl+1;)18Un4;{40$>b(qc_|ck1e{N%oZ_nsRw;<Q7K{LOKQ@#oBsY^CQYx)RC7^2CK
z1nn$*MdaFejX;;iezCg#-mGCNO~T8ubtK><<r642F46j}E=%PJsL{q_mV=dT@pb^=
zg0rgK=WT$WL?tWd=ANcD0Ip7u3iSak^i<-$H9ZV5@u-u0qSpYt8*q}%AYa=)dk7^Z
zE|rdJJiGL<%jh7Dy2$jp++n}`De!aPI%4vzi?3kGc4FDCvr+nG=4I+csp;KA=0;_*
zWwOkctyScEMK2xr5rE%JOM=Fi&_Nn+>)3Z0!Az148kHBKt5fKTBdMkoudBM_Co0y!
z>ME<MMwzryIHZXA?EXbn<noIIfMl<If$)@0o^onl!k3hjjg3^d7QhxN6Ohi-nZop6
z6u_7ywAciBal6ZF%l?buf$o>{x)Wbya;+?VZ}&MCu=Q=gps<%~_G~oGlU|*$Kp!5g
zw(mE@W*)b`S0GE!ab8g$&dwR4o=Bcprg6P+kIUdJ<){@@xn}@D5la?{0Co$1HV$@n
zO_lfbZ4@jQfX+-yBUMrOg%amiQ1)2|xzvQDq-9O_H&=YKhZ7p+PnsywL1nubbcWE(
z)dH%skW&kMhwmJW7yJ2=$yl9Cn%x-*{X*MYL6?4U*_^d1VmpuHmPC_LieS~wjq6Gg
znBx*+goPwLeX_o+TIZcM&>ZyHGm4*v+6^GFh-gBhmV@FGVuUS5em=QNmU8>db4}8B
z-1e2!i$;X;DG9o3eCCTK>{LM{U<rwl&@MNI=?GhUvuA4degQPZAQ_}AY+&~(YEKKe
z2mnTtCTyMy68z_=cJbfqoX{yA+y1PIvXP29yl#Xx3A0L#T`B+zy{LOF5VppNUXdW5
zhl%dWBd)x8MQIIi3{L@$K_kyY+Bl+l>}Tv}0fdrPlwaY;re{(={oP(?#!a{f+aLzl
zys5`p^ly+F@`xPSdmp;EMIJ{{JsA{RPaN?-e}s&h^?^Do?D_IE9(GC`f1Og#=AHDe
zvx*<Ti2ClK^LD>o1)<Vhb(k77s)DQ!{LHs#c|(lFWxv@g7`jy5>f1e<H?mdr#pxid
zuLw`my!XMfHK0+=A=!r&m96#YyNHOkKHYOG#q90w9on$9kytIjwf$WtBf&qU2UidW
z{I0zd-<VSPhoWB8<UTV<7YD=}fPold=m_Fgif2?}&nv1Q`HeFFP75m`ZCxtisf|Ah
z!J+Q|$o4F8r(x>Wc4yPUsNq2!LmY};*MZLvCgZ(6+H?C1sKW$a$8qk`8v@Cn$4KGV
z<QdXHcB5UKN8~C91p&-c5Wp}!H_kZdhPEEUYF@u?T%AXh4s&H_@BAQL;uaTd1^r4q
zc36!w{1MlP5X^onZ=Ad{osW8U%Z%5ASB`6_&|RmST)I6+i46S4ILb1SRtIOQ-sERi
zGD+!NFYGqHM1H6X{9QA-Q$ERLugh7GdSMr~Y@Pg};ncLx@3sJTN3ZI1>+A?kT((oO
z;q~C8`z9sr7%2i_?xXXQHFG9UTGwV8ogy$|{Xem1kwK<G_b?ftKF*PkL)CcaBSm{h
zT_C>(2Q?x-du=v#yEr)}gZ}aLM^B1SB^CFuWq`C)vU*KGWv_@WZyP)o{s_*4{{k>U
zlKYX1eRQh4)d+arrmLKbK$7pUC^Qs;)dr9RE8w1s9zO4!)d^IoFqt71#S_I!!!CH`
zdJ?`yd*Dj0CvQAl?V*B5f?XF_^SUcgT9|&E*s%38@NAPH%emv_+GXF2U)z{=n$M+9
zlB0g&!pvgmHS+6qpS4n-YASJkmI{`7L_5)Bx7E^Vt@$I5qw_-0rD~$7JC*~Jn{!`{
zGKFp&6W7e*os*GOgSUR2rT(|r3rV|$o#Uxb?5m0HTgZ$ki6mfDe~Rr<nV)%Q+GP0b
z9O)oatdql<%a!j+7N1Nk8yz^Dsb7wGo6MYD8b<5uIkG!_)^5$ya9%zo+hVQ%jZ>%m
z;n7lbrFlk*Y-{V8GpV(4KgF~-3{m|>mw1p?kR9r6vPJhqx>wXX@p?gFxqd?&gWdyu
zd_*{Mj;!_A<?_&_Pi#*q3vDzSRf7X%aLD(>$#a12D)mjzTqrUfS!pu~kYNd?@2n;j
z^6jUf4}P&}c!6*UGBomE2ogzGq^!YV(*!P{(7|Z@orh=;!eFU<ysQw>2o6ruA0C6I
zi+v5vc78t1k6qxND??C7jNX>Rfoi$Bnup(u(3ummsX+}>!^^>dJel44!`2q{V^vwP
zW@lafc~zYScVuXo?=TJDL72z=XYd43<Xm3N_to&Z*JCu5<qJwM+HA|{h6o1Jq@1l#
zU6X+*lYx9^B<qWW8|(2z`QvsHJ3I3u2P21xk38^L@C~TS^s76(ik+GjZa6uU(o$)m
zNp81c?4l{Qm;?Ya){8?Zimx`EEk_ri<g&^D7Zj@V9B%%h9cXH+NF$9@;6Y9S)Sesb
zU79NUTgB%uXwIeXdY}qfS?XQR@wF-pqwEi{D!j08CV#cuJ&sQq2L6#sgs0_g!eBH^
z+J0k*?XOK@rHi9#8EV7rTvJ=>h%JdA+ix)IN4uv>z0Q(kT91Z%c`n~wjx^>URiHVS
zbFpk3+`N4D>vG20nHMLau)iiCVDAuLGrO<-a_{@pYUxaMxJkfThP`Lfs=e0Cs+sO)
zvhLw&FUB4Hi5^iw{=oi>)cjoEayvurBN$uF@JJ&>=yJ_vnUcn?qQE3+YNU^5v&GNY
zkfVm^i-ZU6vd!`s|LEd!O}<*=!nh)hftaf3%NOR^WiZSdVV#))aFGe)E1tVn%1Tue
z{_NgmV#UNY8RpnGsY}e}MK|j$F3wNvF9Cu|0fRl|bmzMv2D^1%29-HBN2jrIo_n#e
zlR0Qi2Q*&cw`wuB$65~gqi$pv(og0lPM-q2l`L!FG=*Vg|08(DBOc=Ii#euw%8ENc
zqQKe_l7h7>FjJaQsd^pGTEBa@%9I&TA3aU@d3<5GrOB(=09u>LR|rUb7I(F3P_w7)
z0r8o$jCrM4&62>;#(D{w^8~cmZaJ?6{fm<#TxLzzD*3n1t#5`-7y@f!hpW<I+wR?l
zf&w>LD7gdMUM6ST6w%(`kgTXpesl{@PH=RzF0g_2p+h4-YrN-i^e#8bEN*JzsrS7>
zDKkLY8lQOr8khkZOGHQ4=5TGBjy|Itwke`|c7K-b(OKr@NhZLs$w%mc`dl83yN4#Y
zugFak*v&n2gGt$xdY<R3@8F|qat|Q5zit_-<za-76OUIwKYeoh(ouASG=cO1WnSre
z)nFCTH+t<f;f}K-hmx?oOFrgcY?VFJ;7ujTv-%--)fPGN{c~Tqdan3;B^PCfNZemP
z1HbSPu)iw_DGlnHQ0#$VRRpBOq&sv!V-LS0s^iP#{N)Kxe{V|qDJv^WvY2JnMc$8<
zn1R7;##k~t5<2w4$9TFYy5PpE{pF82*(O@&)kJM5AbXX(JlZU%=K}gL-0S2S+~%Q^
z-SemKP0t@inpy=4#B>0vakpDRNxfowKS@-C9u68bq%Zb*k{J2q*<n@iJZ}b0PDcJm
z=fx=*w6M@P$N~6ly~lZIA<qe)+jceyt(b_CL|BDMV;FMWnv+JmK}pkFD5&uH;L?#P
zA?TsssI5D^$@_au=hBk!Vm85Jr!s}{m^uY?CohO0oFTv_J*dS+Q+i8$oB}f=DSeC`
zs;ev=!Jqo*2v6>eHKO`doqJobW#<O{GaA58^#bSS;nu9F-;3I)BLF1j;Nl7b+;0FH
z)Wl8Sn=Y!$n%z?<H~IbUIFFhnP92^>Hd#W^siNs=tR+J7VqQ|g8fW@?iFeOOWrgDs
zl7M{WR3_~p0D@o%G(0^4qj+T3FV-gN`T(xGY?+8tK*~nrVZ^2hGC4y0qcQp*6O6fV
zoDLOwZl6dV>07`4WbxX8`(90|Y+^iB*?cSE8)0-l*PlfBb7;u{QIu8-y<F~XM5^V}
zEydWI584~~@4lWUo7W6PxMFkgro~r?d0xb{C|rou^i>=rEZ&d!9bj;?Xu=dqbFlvO
zt%AN?rl(MJ{6~+h$ZHyzli24V6fATFPDil`4wk9Mz!MM!q@}gF#Z8j0whfSamWT}&
zjR}~gm#+&P_qYUR$3-+&|JE^?&AdEc7Mau~K4LdLc{g10sC=4E$!D=^RO`1dLw7{>
zaa7QGwiiLSUrBcC#cJk--LJL~d)mx8-?&o*=mi-xWxwfVraPPi@I0<v9E>C(QYE+y
zYRE~}&et?OEkiRJppz08wETwcN_q@wrQ+qKBDZ}Zc(x9eRL%N$m50uKj@^U)E7eDi
z&G^o|(3W{OIFmWN#Al4jFfzxi?(B4Ev3M`Al^c<G@d~NCdA@PL4_fzi6mIsBi@Phe
zR;Elgim%^Grgai|B8BrCM3rw3Nv+fqMYT3fsp9-5tdf#_8{A1%I2u@Pl<?`+RT}C6
z6q9%BnX!+NCtLa8(}pOm-X6qLxgbTw?$d*H0Ip&Cve2Ed382f!v3Kv@p%90FO)b^l
z=wX@GAX7{&-cJDmz}#=JYskfxkTmIFQ#CaV;32WT8Gy++DsZ3v$ki-rVk!@SC0y-G
z=&Jz>F)oJ@lv~HxyUO&N*(_hJIFSRhX|6D4qg<9Ig<i|6?FPL@Tg>v4WGTfx_0d|s
z_1XTS9ZWClC`o;7@k#2{>cb0~gVUuT=<ufG@i^DU`kjEV`pBn-H1c%x%!1ilzY@ja
zO7o|!=c-G;29loyc=A1yF_)harn00yg_>R($XA@t?|SA>O$|Ekim8%wt4oHZ5Lj7R
z-)Vx`dvWge%&L|36l&=dRMhQuy)AN?3*3#%)C()E5@#1N$QT5G+6eLok65$Cs!b})
zLLTQ;$#+Jab6xIoO`qIT?W`GYnED1lE-#I`8f)nE`A_%sceNjk^GN02TfH?qdwFr>
zCS(eLq{M3-6YOu<SIb<OLDvskbJ~7|<(^>ciLz&|tFuKDBnPas>7=l)^;ai0ketpR
zwC5qieViOTT;3j)J!Pj08%i|8vPk`@XN-7pMB8r%Ngr%W-%KZqO>VombnpF`um$5C
zKe{>Oks5Fw{>ii^Q`a(MjeBNFUr?}V^kQq{wIH?A^Yv9~<uG49!HF@ynO)6P%5EJQ
zll~K>h%l^*lA;ThvtA{<Uul~6yEaCc{dF(2TB{l^)S7!mMBImyHD4=pc5!t%?|F_5
zk7;d`K3}bF9i}R}CdrlI6&8H{3B~Z3#N{IHVQ}AQjI)GdRmlpfVa@S`zy)51NHlbQ
zV5(GNP`d_gMV3OsM}XCe<<SzVG^z(!wrIfXP&iSU?V0JHWvGXL4y^7dy)m#emv;DF
z75r9R@w~l4U#8aNasX|=?h6IaZtEvPl7n7$v*q$<{-6gy0lV9@l>U`xX9(b|rC~3F
zH<f*`v2(=R0H~>T*LlF#@8DPQ_@JV$8#5#|(Le7$XLXH4jldq$b&ad~()tbd;cUur
z`==$O-#uvda*w3MerKwPaUn9H!}rKIJuQbmW-6sO@tX7Lvw58I`gfE2{TkKK&57BA
zrk${KM86~=Vd13oz-2YxMy0Q%`BZ02TX#hJ<a^Vty2tu?If0B0sOt&3#wdg|PhJKc
zR%bQ?N@<YYYQ0sMlTDyHcsL142u}6Qt9hx;EhpA~&s~14@3sW48_sIPSNSj;uz#i;
zSNb?y6tAM=U!~!i?$*T$N|8tP@qj7#R$~c^E#nl5AKvQ4FaRz3&7wLm*h}y0R(x$j
z7+Dn37&8eTfYvt?K*hakbJFPfG)}liK7#b1bi?!`W)mXf(I5~z=IK~-Zp=AZDQ4<#
zE)}>kyQ$(tAC%&5(E;Ne^Ga!ok4F*v@MPMr_9(FYVgx6$>YiZhGFf1X_k`s0PkB-H
z7S6komW!RPT}$R(6FKdonI*__7heH18&x63<@%w}{lu5r?_QOa+KVSAvfsw6+0ky-
z=+%Zd7{Ml4iofcLoc_>hd<75}Zx;X;t0BxjH}F7iM(dRfirv05S8G*(fP+1MpE1ek
zUQ)^9s;1JeLCS(e#+=$}U220@B4hyJ;x#uax38e?pjuV;pxC5HZ(vM8Tf7o6s8^)R
zQFB-%rwE&|#+!D4-~Z;Qh{0u8rzBiyIS$%{-ko~l<tqtGr)u9K&N3B3zFyV5``vTZ
zfpo9XC#76Z<icIpDw>-JHwOnD*;=mnK=O1~n@)y}rTf*RgnikNlUdWtu}lBYedpNo
zVby^PDahunfUPpv<{*t`*~GceB2-)Pj^DoOJ*tL}m!_e;a+d{zr29k(gcX<u1fzUT
z=OuPSUDU!S`t(sf6ax3@MZZfRtUu;fw%C1nm&fT~xMp94ooGdH=kAi(Z|6wTwS&y&
zLrw82yK6m81sxKF(9tgHD5OLsAulajh#c-p<{SIGprI61B+1yhwC<~p4jJS@sp>cA
zJbEN1lM^i(I<6ENq*Pe<F<m(JYa&b$hG=!Qf;7ESyUM4oRtpPuycK~@`vn2)8$u{Y
z1W9J)xtWK4^*4lX#L?}{o=mXL(H=@afMEU|YJfQyEmA@g^s$2{A-9--xcvTRWq;-G
zM(<)0wz0N;RU*9de?KV!AIK`p1LyB}pwG*-NsgD`YN#AS;3431GHHff4a5f$;VRkR
ztc(6Q&QE~j%+j92j+#6O&irwsJLo0S?qEUeWV2YxZIxOdU|hqwy|6!}Uv05|QA+B^
zuH<`KWAXW=W>PR;1(U4F%CNDyHTKnu3qjo=&7Qr>pY|6HBtKkeF|BfW$$F7mz&aLx
z{jkJuZJzmV3I&1gt|@K~1U)+hkie$k$C(pc%>-a&n5A$%ipsh7UPw*h?Qe}-o<Ad#
zLvEJCTb~c%C<<_?Khz0d6<vz8;EI3=U&jskKoX5j&0{I|Gt3<A&-BqS8<o*+x<ZKt
z(J^UV`9h3wyqcSKb3>YOIQ8}nkRN^bw)ZrhDW|>nA0Q(;fBtZEwv#x$u}K@fkC_uv
zTvQYrNTGyU2Cz`kYhZ;7TiOBc;4N*%^S!5i6~*4Av1q+Ly@>QNKhtT6K22vjK<WJM
z{d-Nb+e+w=0Y)_)108jJqG^e2cq&J@bJ#vumg6)ux_${$+Mh3^-Vu_I+SFTXz}4QL
zD#wsoQJ`LQkCyw>b4$!p;)$=9x0zxIETm~k@o0lJpJ^wPVERjEv9#Jg-obT3rt{VF
z-yDra>#K0#_(pj3xo;#wss?q?(_)B_8L-)G$<noprojrF^aneub(6c|o_0dsc~e-B
zmr~y76y;!hiHLsm^<FON&sHf*P9LtOuFup!K@$MjI@(3Na1Pczr&}J1itHE37S?&^
zY&nORP+dVIx67^w?NS>hBe9Ri7Y^U^4*ipjkMMq>Z%Rn}g6W5nM4uf=eF<4wI*iwi
z!&Xiaa5UJ?8%7Cvu+%%^4-b4_yVwX=@U4wO-;)%Y-@HFzHC%4;p|xsl2vHl;A`kOm
z48{>M*3Iydrai>;8r?WQXumApi;llo3$Nl0+rQ&B@KreV$Z5u;S^V$?@1MhQ92%U~
zHkkari|n+W;ybSXtFy7+zmw){L~piKdd<G0s%7`0E)gB}S85I2LGChNXQ|&GkDV%^
zErY#?kfq{O*PLBQN@i$}%*)F|!CFB*fs>6*0T9_du#Ps(Uf`x=rvv3_y8iy*3b*C1
zd<mbyanT|VtyuEN<Ufao3Nn~HI+ik?4)yXFcJW9QC~D?|)|_u5oR*R1-&Aiq2JQ}Z
zEs7G9!8I>;i;6(^4zjqfEYqiN7s`H!L-2fF9_d~^>7A@fsph)&roByIRda9D&;_}s
z+u8_1AHc2uL85wdLum)iJCPg#CR0YJwrjIk@Z-l17KHv}!jTWom6XON2k+E&-E{Pt
zVX|kVF!qZjP2g<x_~d9drH1Jo)OdbE>L)FpK;Gguvldo<*YBb}yEpAFoGWPJGUL46
z#_#OlXNGv0-sK?fh_uMC<iW6J%F=M5CIA}`nztCI(nIPUrk-De5aP<3*=Bw`TR+qt
z(}l|vJqTiUnr<D@0ZB8IX4<Ety-||+YTdx%qo9t{o4u2^!Df*iIsL+zmW%U*Gc(PI
z;=sKsp1dd)%CT~@`Igfo!BMS|T5N$#!MdnG2!iYWj}|+H%eGUGVttS@2Gyt>eN)d7
z?Nxyzl^!zmDOMxC*Jzj`Ox#Y#on(=%6`N|)-R!0YwGP@An)BOpzmurE8+_cSH$ADm
zA6~mU7;@^64$`zwaf+LEr8Az}m(A74IHy`=PR?wFy>j7}8gG+C=bn->;g+p_i3T>s
z!j|ff$ZMN1j6S-QV-({f<HP<(Fwu>3CkstYeLvfoSYsFMjaj3SETLt(0JlDB<NcGk
z)0-?mE6X`%j4Zm@riA^*lT`26+8>TlogTe{OH6wG3M#vko-ncb%ebmx$%Rz5#Rj^S
zA)42>^TKb^Q1f^mN3>Xa>&E6R`||6!Qy-HP_$l%x*L1U&>U3F3M~irMEve7uLd!CC
z+-wFJ$#aLPR#aO%sOyo~zP=2TK|2eIs33&M%Vd@9{Q9^gjU|kwOC6NZo{^f8T2*au
zS)lIoIc4l{3}>P(&XV`5(O=zePoy?jcx@9|(o%?UET9(GK@<%w8G66Vzs|)6IY!(V
z@oujCCYHiik!6e~2t8l_tsq_%p>1NS?>!K}&VG}+s@bW){<*hw55{}%p3AwH<^j7(
z$ct<&`|>Fccngc<nGM->C^T<-vxCC>@mY;(piUOrMIRLEG(Bqze~v#mOpSj2MOWbB
zcXN8(MBQ44l_-G(tZA3V=K4i`b=ah@DJkk&nYH5bE(Rwwl|7+tf-x-gDY|<UKzF6n
zS2&*WEc#^d?mT@ZZewGuh+JdHq2d>vncnW*MRbdfk(JW@F~Njy9-uR7j9wTP2WATy
zjC__B6szk1S0cC<cJ+xjoxU<;+Fu`8!_ld!4#;VTW|TiK_6NP*cdVLu=V7I~n@@F-
zjXKELCvb&pRjp#p)BFgDwF(YF6kCWie|Jw0NY}d-<i`xNpSVj)zo@$~0by}Wjq0)h
z?k^9MfF*(uJ)-ddv!kYOH`lKHxM)7Lv02(EnV`#bEy2z<{Ue^#kh_OET3XI>!_;Qa
z?qQ2=CoMvQ;B~&<>7}h^MwxiXYZ>}F4R)q4N;eFCv-c&k`y}{y>t#;C^KS~}xqMbN
zoh_-3)GCyf^l{qTDkIO`P0sf1_JNf<m6zLH?pG-wud{YFSgi%$&EMx0nGhSyPwRs!
zIn5rOEin5LPzI34I$7g?dB3-tMj!7r%r`26xJKnt4QXn<+$Bo(9myGFk774&$v#YS
zsk7le`OKagZ(m%JGyM#4hvlbJKmZaj9iFJ&0Hok&;8L5HzLVz7Dw4jSbUv~HI`2`b
zb$sA~Un+7ndw}cheuA4Rzl;r)qC<qHb<$2A(FS7fTjfVWB4?k6V_ta;5=^wKumXSe
zG<Q>dYKpPzrAotTA(oXN+Hra>;DyqDJ*lEPrslIkxtE=-XTw8Pn$X$^WtTG1s;$+}
z4Hi)}!;PZ41k>x(#ukl$Vz__u%~|n#*}%o*-7o6n2x(T2ld@LllaWuQvtsVs-qr+_
z*lFT<QGq`Zp|xiOFGtpPdEsOZ6e;)p%oeK<h<wadOhzZpI#p9+<B=(9?3wxYoo`1*
zBd05&JKxGnC!m(y=tD~IC>U)pFE1~kO&=d87bAw%9~TUdj%MIq6G7U3j~o>r7eJ2G
zfohoZw1Kv#7Ny_I=3IYXkj&tEKyu~IU41wnQ`SPCMh4HLIpz>%y5xZf#`;ji*4H9|
zppu4>43p{?H9_XyR-weU`VR_AdS5jpPu?t1&+$a`ud}ZojZm${&5DdJeor7+OWy;>
zD!^Z8FVShVe|UH68gz765V_#LWo-s$if#Y6lnBo-uo)>gIXQYSo8hh}w|@Ag6v3vu
z2&`koXSOIrsteZkU@1<SL`ylFs3+@>6Hv?E9A=LZ6j&_>Hv{AhWW&FmhhWGu5&KBm
z4OYQgC+tGs+FcoWlnFq`^@s@8ZuJ!pSsSCGy5X3l!J6VtEmWl}AJTQGE_hAxCQNB0
zN`PGTGN?P$>v&*vGCBMG&+Jut-`2xLi&=x#%R<$|ruwR`xW*IE7d7wByq`Y2BttN%
z9hNYg-1<ABRyJ)AY+p3x^daYyvQBcpGdL8w{(WXL6yBl3R8e8wlhQU6Mc8JpgNaUw
zO%V0hgGL$a#wTsst<!5PlU#}z?i>|aIwMs3IolZjZ~>^dHuk71xyF|nN0t!`<%+ds
z<l98B4feGfPo2-%_yt{@S__8k`K8)7as&tMjgHDDZq`}Y1#KPm3A5!^6I5=?Im5>}
zF)21AZfHw*tbn?+_^mZNz|pdp1f?OrQ>0wrJFj=2jSY1HtCJHfxV+3+oW7{6OoiV~
z!p4UFG;;gJH=^6||25%HifzXR*>Ia0-=U0!)V#ze#ZU%>jqQN?{aIt2P!|nE`v%hu
z5w^;`p2+eML{Hr1ghW?g@32ohBi6(i%?x*mY$n2X7Uq!pMDO`roOtW8gWo;&W;ftw
z%$n#}hc-Li6nC$ZNm@$Kt+PRBjPI?|`@!?;xSNhyp4LhDKZG2EcF1cZGV&GRizPuX
zq9-iq@}kXOH^>ndPj-qUdHk^8<4^@PdfMyvz48C3TtL-?`vX~QP7K=;92T=m7<|gg
zKlUTGO3i8TqXd_zyXzJum4YRcVW5zmyJvuV*buZK-ZNUmY(DOFO&)#SSSj<7q_dd=
zaf#YkP*ZIwH`m^%9Y&Q0&(`naoL@ge+KL<;33&Q{*U?=Tf3Qz4wxo$#P0bHCN~tfc
ze8np5r;jdH7Iaa5|BfAvXLWR3953KAQIoGYJ(47TJ3SEsa&Y+^{TWcNt(np;5XT>F
zObji&I^>gEHpFxlDVJ~$`y<7`&OBg_9uH{!m}gTmn5<-XKlq!CrF;fy+Y#4HA#WJ|
zURBGfl8>5)f{oRBE@}7CFzJHj3{lBW!JvQVSThd1Hd*9+r{p)U%u!;Canng#(76-5
zKJes{2PR%P64VMap2!&4v!Fo?*vWq<*buJZmJK6D9wMB)gh)$XmWd8eJr^?fsNTDq
z=S$L&mYE(i<h4IgWQ^nD^E7?XbRuv`WfNL){zK(ghH&z7l!IzJ2m1MNenQ@&sg4eE
zuH4XBtT0nWebR5c{|n9Lpbub-^bU8OD7(jHX=N3FTsMts3RvJowY#=;2u^zpfn_=H
z0jX$A3FSQsOxKi42zS6AR{<;sAv;85OHjvHw$Sv_kUaP8>-D873&o3;%8r@>J6nQ;
z(k?!7b^rKt(Sz2|{5qb9)}YP)t)H{DUF_Z?#+TzMCc??U;qnYKSX>F^Kg+wx)nxnV
z?ZQfwDcmt7pt1RIy-)i?)p9ip*Lq_oVl^q~d@b*cY-^XVACX?}JQ{_cq{MMCzuZw&
zVT%mx>z#qk*lJI1YG0@_%kLG-tftfGHFamaJ5Pnyt>)Lz!gkHhWESC>_k(sucVrA;
z;>V>MZ#NH9ecskGzgd^8#C{-hrKZ3JgRsP&P;R)eHD+k9^;Jw?ZZ~J^^IbF_33`9z
zPxa>adr|m`1bcI2c?8=GDI)#jj>F|X>%Z$tw1Ag%9yWw664Ljuad-gMH_g*hfN0C1
zjlw889P`Nz#Ym~qwH1*;u9+A{W;Q*W+RoNAH#{iD?)DzO@5%EdY>oFfC}VH~o)H3!
zFj+!5Z-`Z{Rm-Daf`0y3I2L~ufH8e^a?B1*Qlh+hV|kxA-LX1Uq*`}1+ZTGGsO<Oc
z@n!dhd8TAxW`Oa-fx7e3YV28I2ffyenTjFwSHi80&ljY}YDMfuOe*`ig6ux^O1t?9
zr0;Jf1oZ6WmIwHJiU`tao=Zd!PIIudPaw=))i>h=BT^r9rCunUo`2f;<`Qrq)aeNo
zU(BKZg)~-b#53atk{}A9e<usVl4lbnu+Bl=KPyS=gr`KVwtXl`nJ=|+!*5;D&$^q=
zC_eMxnAtBBqTavj_vM=8q^}gtEmqCph0o35bI6`ttB3H*@*$k*2LZv9`S3%*mEqi&
zZ$1>xYA!DK7fHhQV~@1McFJZATOIun8Iz-lBKvY0!WD3uKI*c}w$rv0u1rv52{|yg
z2l`9WbLhC|Y)uzY0yi1T@*kc*BcmMRlC+&E;YKoS4*+hN4{ZYh5`2*H<!di}2tiL3
zRdhYebNukf2H(c7!Z={J9;XK%*49zA!DpU1S=1BG1va}`Qw?PZu@Nf{`@D?Q{I;nO
zw8k9kY%yuAmnnw)>VYewiW^dZb(7(%FZL@m%%=)cZyz8@JjE>be}b^N!=uH6;L5gN
zy&!rLl|yK5`AGnoW^^4IPKCjr#LvhgW$+lLuSD@r{KN<nGPAWdON4Kt+j@qG%R`W6
z(l6_6|KwDz2Kr?P*+4%;44RQ+o<EWb>6c6iSZ?>cMwY-8-m3iW^I;U3$i<M&<G+6X
zBi#L;ou><MX2)`8t)-%L912zPDPB5jZWhc>Dro4Go;e=4A;S!2^wFqzP1@de)nw6M
z=l1>1tzpcrlE0F8!Ibs5=TzOzIw<w6C*cZc&2wFTK0pCkRcf>U<?*_0>Pq#~_G0qz
z^2pwbA~)i*1dRv>5uT}sPLpa4AM-vk^;&aNf<y`hY7r_Ue?tBwR=}#~(1w^aG)oAc
zO#c2RtKu)-@SW8&!ZXVM_{S*HP{Xxd2@isD;$zLek#kQ=|4qoCyo|TOkuQ;h`|$A7
zX`@=Z)x=!b%?%yZ6X6p<mF7y?{4B-hU1IRYQOs?${DWOypMSL(SU^rr&i8@=u7@Ao
zZ<pwAUvwOWr!Q0SuJ2b3?N#k{DRfD|Pm*0CzH{SBwPk`CUl@^<ga*^#IgT5ut2fYP
z$X7fLiTECPuHD9j8g=L1w#qlrE$8RD3gZOF1BtoBZH-iuHY||wryo&rB?s1-jwR(G
z?KGZPjim`?tfXNVMK?hhcAXvzYU|~sA!Vl{`|AWFcW`eg->{Q=!3sWfnjsi%lS#@X
zOlplJdft0x&gX4PJ^{^WU(b;9l331TPV{+{)3r?+qMn-_E-qT+ecHtx4)S`jp=k0I
zu}_n^i6L(p%!XZLWagaYa<IaueIWe&{3r+l@J2;0?SIY|l$7|Rup9tr^C2q!4LWE(
zZfHbIHpBRhqn9-n0gZ~-eSX!uM_!;g+<t3R?X?sHZ$*y52`>@7_D1bGdpC(Ko-~-M
zyaGtH#onj1mZnv~yj^B!E8|vY`pwQ(G`t2XqkH{OS<|I1;num5+2sWiRW*!h0b~*=
z_7eKaIzU|f>+_44n(LEHTwLX<nGz3a8WJexVq~df&~$Q%e@5Qn%>%9R&M)rA1EhOu
zN{Wd814&6qX6Elsb)a;VMKR(;Qo~V%fqmVT#tC$=uMXw{pk*5P4|JhBFsy@niroMc
z6RH9Yh^|nL;D9%*kac|(*#7FODwIbHZlxGQFjV-j^nU~?ppTW6J19Uc$bi85*j#b#
zY5Q3r)se~CgVm4AIXFz^a6R(-2go6W+(0tULF)>H4o?orb}qCq|6H7V($FxJG+Z2{
z@tR&+rInGOLZGSEC1j}~6hwLP2??I#(;)TE9`!7&=MjJOr?W$7YkKm;Lrcwv4?}XQ
zRv(-6gZ6!6K<M}Jl<&YTugjRSC?fthAT1_(D}4~FcwgNDnn}v8<KfiB42qH9nj{z4
zBw+W-yx3=U_XAzq{DOjT*)`KyjuJ;0-w+YKj2v>U@D@xq0<Jq1x-`?@-`L}Jvb$*S
zf|D-jG6RC_>BNkx?~hOk%zl2z&}-#XiCwK`!xo$A*q-;WQ9Ks_)UgAaB5kP^O^F85
z`B+N0fT-<4zXG%tcCC|lQNO)^W(&X^fQR#Nlv629=oy%fvvN|mhKJ6pE*Dlw8)IX?
zJWAC}XRX5&eg|rBbF3<cpC4d;xlKl<_ytxzo}Wj%Ttqdt$KnhHP2K=ho%xIj_H6pz
zb|-TtIq$-{1Yk1Rw|ZIIH7{Lv;QSkqweUgRs8BpVhcU30x>yL%yk<t1J7h}rYSJLQ
zK3Vv#%5;7S`=FB83({rdpzQKJl2crob`@{sE4^vYXP3ice3kQv82Sg{93BYaey;}p
zx)L>Ds-J#rX#r$62Si@v*0=GI5fyQpg0Q)F?Csv4q}Bmqm*4hoq2?3O%SEoB0Zpfg
zgd{j$^%|gQ-2U|bzDDkP9b&dMsDH*W_g)Pn;H~u^V`MCSmTyETha2(?`Q6yPoqrO|
z$g^UtGB=9&JS|$=Obs{ZKUG{M-0>H0o(}pgiyowkr)Q$OJXZJxE@gjXDP7*^2bj#j
zy=!;vT8-_QKMDn&KW}EkD>Abf3Iip(nPzPOt^^mNGLQR#1#}CR<#GJL;;`rY!Kvfj
z=fow!o?8n|R^7KX6NwWA5+{h;-f`3L*+#Pm=bld+?sdJyBXJ}@0jxSsY$Kg^`RUeO
z8GXOMgaJ~<oji@(ExTRp8Q4>gvd%C&j%b1o@Ww2ythGmV*l509G$N<B;;2E^uLfnc
z;JG$)C<FCL#tc9ii4Galb+ol}e;L}bHS^dH7i4j<MO999Jf!hqll~?Qw|-|%E##UN
z`f21NyN(lv>O%=tRsV9Yku?q8!dZZc2k_^3QuUIm)NcxQWi_NepF^=^N>Dd#jNVzl
z!?-OFPA^hXnQsj)<rAPB_6&gMJSA>yT=+JUA0Sx3GnNyMmgq5NMWLD@)=*QUH3uN_
zmH4@J;ssf!@^MVb6v97=+U`?!snc<{T)r$;tv6VM7B;M&EcRJhSti`7!J+4a@@*Bv
z$r998FoAxi0Z^NLeFtlNRC=5VGv4Ppz$WE6baF2$4KjXoxZkO=D!=$@wAQANI-8SJ
zso3(HdC36547aN2f$jdv0JuaXqe=s?B}s2~fl4dAprEdNY^k5-Cug9q>QouUFF+gP
zhLg>;E-ok2n~VH6CT+q7etlYdhsa8QS*~TxQ~KywV5tzZ$+C%+JvVt&H}13^F$nm9
z@Y!R_Y%xNdi9ZPV7Y&z-3@mdp&#oQn80#WwT#y~5AFqQ6XGw$E6A%sjF`XhzSu9h4
z^+M}jPvgBWP1zWJ0KC=*XhXQ2J{_+B5-42(3(sSKZIS!ITAR>?x{+7<hnX&#?6avK
zu-I9>u<Nf}%H@^-zFXKf6`*|WZYx}rXyZE4+MFfZWE4(~o#NAO7aG#fmOr~>`;y#J
z${jV_z%~nLI^2tE%mD_d!ljc9?j#0PGQ?oX5erFq9sQYB+q0Clrvc?`cz~9kdd+%U
z)Wp#spYd33>EECI)dvBEN>Y^)J_GYzwnF7LzZf043Rd<iyHavv_wA^L1hW0N%o(nl
zs&LI1B@Dzy?H0w|98P7q>Jz@6TbiYc?ITlOdz#`7yzWV&18-a2c_nU%*xsx%eK07p
zI~Gx;Q&2tl)DF50ZsKy9LFL>Nlnr<X2h`q^(FmI@f!by4cHMh+PJ~RX;>~q@k^2dR
zZ}3Bw6OsCo>Z|WmP}6=RHFoKPF7e03kRpe;i76O%F*`=)YX7PnPyrl{37h<W!P8^Y
zLk_LG3FR+EggXNmwe&?@T93bRrQ~Y_fQvi_dbJtl1@cMQ^K_E}bYD+Y;ZN2VcbBR+
z?bBRr<3MGsvIS&;<vO-MiW$!HyBk*ZwVHt47sytL%neGdKm$atr+7{KC#vpE8HYmC
zJ>%ef8Z1vZ0k{BRgZj1QI%vE3QzihgRv~>Id{LCocKkkA+n1V^J!*Zb!JRQTykgkd
zWS&locWjG7=+0Oxo1`V+M}s`WNPSfl(<q={IEAecz=4yOlRo#{rD;dzB#`k$;;5l-
zLaft%V+RdZ?ycvAm176!><N%xAWxfns3I2yTxVmUqgc5d{aqfpTU5g)HuUm~UD?H|
zKGnwPC0mf1>~UwdM9ncbwGOUt1+Xv4ReALJl{O6+sp=SiyytCRbj*rOT^u-V^jFMx
zd+)=@Zqk7J&vc#35hHNHEqG0#y(V!V&JYH!Uh`Uv55A<pGDfnXBZVca^vUy{+e5*<
z2J9uDbo2w*@_fh2j2{|emtI%G0k=i66`Jyo`qTk_r(dAbfx7#TKknM3Bc1?KjuIPD
z;gC>vhkCXOp;k3v9aooN%#PwC(-=r8l;0{Ld3$TkA2c}JK`)W0t<}5m3c#s+`VGI2
zP+^yYCr{&T6+*MYCxKJR)N<vVITydWFsIfAPCAp<tnp^G8%r~>ZM46R2LEs5K|?Hs
zcIK+ijR%oe{q+^FpeH}C?1UF~Dp5@NDs(Z!C42%W+&RVPsAyC6`H&*$cPlq0O4wHy
zsecw9n~P#FW>q=MXe->kNhLBY;fai+R(FDX6lIAw0`9py!$Joi1#Jr+a(I*SnwkQa
zKUBdz0H7F(BX%Dlky}B65sdksC1s*inp^n4+Vb-v`Wv2o%d2w8Jf&zCvIfvCNyRLM
zND1H!F%239x=@+sID5XS)S**D19zehX1vR3(8E}m9}&cA)V8eEZWVbXAG1&w!O8Mr
z3cDD_ZhKelsxAa14IJ!o-R_VFgmPFA&DSao$K#58ag(nn4-(cHUwl8LN=;7)X#YiW
zIEJ`fpQP2d*EFA86~tM$*ngu<RYSs-8MpjPzu`_qKhJiJ>d37H#>9d|hU&6!aw~}m
z2|g*T@wz*0lV?S?_TsVWZqX?MWoQKZ_P(bv^kW$qj#w4G1Y$UPTn6&2R^$q3ey3X(
zrCLzTBBtE*X6vdoO)Gj|#xtw8y+MN#zwt<zeoQ!Mh`^rx+7u+}pgzdnn8-8I(_?`E
z&pD<A(%&Saq&JPcGl20o_66i1Z4V%dP(nFV2yyc}pWc<2o$*20;`L&zPXMUml6KIO
zR+0uB0J>n!CBZLi+IJVGdJ6Szvc<|YJO&-zjJ=9fU)}B|7wj_lJg(r(F;b+ra_xS-
z)aT|kwRFSQngyep4c$IBgaK06tSwlr!@(Y3OF-2sJTeNvRwxH1-#D}=tI1Vs=WC=w
zh-=sbl+C8b?g~2Be5ZgXx)Hz<Vs{?V6<g+r5B=avyaq}dXP@wSetjb|t$DcW#)_&V
z<pIBwJ(#f?{6ERw51DT;V|7qtL#eg@*)+eKo5;*ongkwbU8NUdvz7!$g;GsOil@G^
z@B!&k@}YYLL~rxq&FfgyFn(vtlCvKqq6n{J&^fm?)i8u$Xx{}LANL|anZFVAMD^@-
z%}(CeRzRPW9sCI{R*h;txD`)ea9>k3cUi}Nv`*bcr=#4o)kK{AMnZtS>dn~OwI^*0
zI;GAqhNq+!j%hO@&`x|apVBXsw-+BU{Ve@S4myqOxGjG~14nzZW0x9MSbFQE$?P-a
zY*=&K(Q%aLl}P&d-aY8wBPR(Ok<QFXE6^c@s!|ksagO%RgQ{zN0ynG+j&1Hj5JYY7
zSn6a6J72MsXY~^Dz%&xHRzXqr#yi<aHRGk2rmEPN4?$9uwX;;tQFXqJVu)6&IfHF(
zZ0M~YJ00g`en~U9M^~vi;*J1xO`m!)%h1M2a&vU5O~{fT2HNPHETG)(OG<?fn%QKY
zA_IU@(abs5y7q~FW_J=7)Rg@LvMn#<YXy6-axfGzHGR{O{h;Sni@w@%jrPDH5!PQj
zLyQ6x4Lmhx!;DP`ZvQBo7#@EBf?#K7;W>ZB(GxT8DC#o5QTpH;)T|~a0*q}rVYSAi
zKg6s&6JPMz{-~T5DIOz@fm@+(`0`jZs)=ap?V8L&(g0sqe!5pmM^RDHVEhY$A{X?1
zt%-bb)!b+&YHM+xou3&30tCWJ&4-fR#O%SOtDLj7Q$I$j0}jmETa}rK5p{w@dnIqq
zzqskJD;OQxX4VbY&S(qYGCaFRtGS2)71#VnBSZs@5cWP)9+0U(m<hxyP0IsQMs}&X
zHJzMSMQC)(v6b&JzAA}VY^SGMbiOm<BgUNO8an(7bUumz#_qdQ>(;rkIBvk#w3aSx
zf0o3d|CHOoz1*u3#1-p0j|`&1%OqBF;*=g&QheaH=oFwjyjw3sF>U`yTzjS5Bilb`
z(vi~Rc88dcFXObJ(`3#Mdw9P1mad3qLX}SJ__!l{JoI({i4<t?i_uDKsyQe-(@mI6
zLGcB?9!x$g&B7A2)t@oGkw2x&bZkUre_0)%=<M_v3e_l8P|2H*pL#Z8Vk%u9YBX!h
z!e%)3^(~1pC+GJngwYq|l3;7)|JyRKLKv|amm|ehH8t>8js$9G=;AbZmAX4w_Q!ff
zZNHW<6gZhNd}`2cXT~$@L}5qIKr0m>n-<(1*B)N$Pb;DKo&!zFj*`2zkre!0Q$;w%
z)Fb(j;0SI3)y3a6oXQb7g&O7o0K-=&xcEKRZPce}5ULSQ?1z7S^tB;ObF3yl{Cs*V
zaM{_SPW(gY+pNTknieDdd#|<xG?^O{0#Vs=z@%zUE$;{4SI?8d*#mcpyLN=%*@S^B
zg=4-m><tHcn>lj<GHy`xGsT~sYW#WN6srAyihJv@DuX6&7>+c8q|$<PDcvB5(%m85
zjda6NDV6R<>F#a=q`MAj(4nM+z_$k#eV*rf|NP$9KfJi$zVF?gotd4T_|07OX94=|
zLU&LB6^Gn)R3RVsxaaMgN5c<D=WIrUx`{LqQVxB72auw#%#+Aiq}{5$vioa6=?%gM
z5o;?6_ucaw)KMI11rfXXyEQp6*E#`kM_kFnSQQlv<^noF`85G_ro9*IIoHAvRPXmB
zu^_TAGGLj5&TIwfgz*+CBI?ZJaM19&=E59;w4Zen*NSfEG-IsqatE#bGzt~}v8uPU
zFf!b#l5*0|^<}-_@kHa-yg0UaKOPF@n%LAsG@X_=GV(J0GzW2P(}ho#-Y0{iV1T=6
z-N>EcMqL_qQ=`R664{MeP_s<m4ynph^EgRZXL4&go-p4B6nn~44y5o7Y9v2>+`7A9
zZCNm#pzqZ!qg|I&X^L6TRc>DL2p9GEyB??Q7txe0Y788Z=KL#%Nb6e$iT3JklX7qu
z2?6K@j%1XaNJt~GqHgAg08VIYrpR^S%g;gmu^lNZj5|xYElx`^{D%G2uQ-)Tb(lkQ
zp67TRsHsfk8=KWdE7W2UINA&z49~08#EQnD)RHqrYd30&s29CBkXpG0fJ&VUC&%O2
zHl#*agw<uW&GuM}B$8FlEtS@!TZ{#GGhn-3<La8y>@vzlEMoR%<s_>b33uMWD}&PZ
znZ@$?Nyh0(Y23rMx#N4Yn2TngtI&B&Vbd!X!<c<wV;{GQp9ZN`S6#2|r}>7(HSR%>
zTb*BB#7`luNUOR<TUT3MAzhgReLfuYawc6pQdbKzn?S?<sIIkkh^kM3UfM^_gtj{#
z{}lK^hIQ&WEA`L=9lI48UT*y$PfoU%C*_4aR(X7Ia`#<oyshBtNP8p+f{6VFg!sU<
zT86$`|N1d1?ob|hpGi-q%xYpzwj2*nEOtYUxrNR;qXT#rVB2BKv7DpS9OI&`N(B$8
zb7<OQF=Xk_^5;Kljy^*Nn;ir1@+diCE0bvkOH}l3E!AC%zc`s}1AQPT$V#%Q{6Gz}
zZqzbQjQGJ@%zIo-y5sr@@0+u;KIhN*epIRTKi|u6)hTnkWfNQ;S}@VH&8`4KF{Mb^
z%;|)-ER-63Hjf)}%@SR6dY-Vx<x`r1IEsX7{HRt-H`Ye7bq@u0I*QC9OH|oC%*PkC
zFsb4mJmHZ|7sn_KF>rO@c1pBy<tqL8uCb50CV|)~U?!ePs+zRFOz}9<mGV0%SGT<u
zwlNR$LO0YqX+=P^P0F@-UF`DpjnmnK^(N8<#P50Pt?!<T;Yb0rsl`}b6*?ru+c+P)
z`x>^hH{>5rliKL}H+{CdO%#YeOhxHxF~Ftb4#T#_{-A73<0;>d5S_VeQK(<>-pPq%
zj@HZ-G$se3!*|>BYW!5RBQ&aZ!6SVtDeD&C?u+MI8ofE>MH?P}p^B%*I=%<oS@$%n
zPU9bE!t_Z!UPLq}JH1(tjsiZ)^tfCnNJ`c-(^q%vm{lj_^bWiM%;DO1D&gqnF)beD
zTJ<)(!Q`~;f~Gvptkp*?Ip0nAbC$kw8{i{h->R0l*@Mo~@l7Odc}#A}H;(i%c@Go1
zE4U->lzn&j(wI;n({upt;4;O9sB7vi`JPs!Rk@k2V`i-^j;DFop&x%|#8nS}<?QNv
z<s(oH0{0-}3BrebGm25P-2f@uuPnpq+0L0?`OX=kpa#Q@cy47>$mDGSCW>*9H<1KL
zG)eYNTRdCopuzhZxT`Yo(^uu(P``&-5G`e;Tij!Qmq|9DTb42JjZ1EGxD#7)qNy~C
zr*W9LI!tT00i#1*RyB*F`h#X1lhj=%6fF@gWQ7^omV#nMeg^~3B|<EEi%Nxpn(O0n
zc$U)r)|5%~@(kaKDkf@o2)=$Aqa|k9VwEqgRw-?p9M!7pX{H@-@z^mA)#?Y8s3Td-
zrS%UG+jome?o~q)X;qixc&LV~i-|*DA?5LG%N(W*EYVETE)}PZI7x1}`XXmixHQPj
z=-lBWQN#TrfUlL}{Ycz^;bVqvj2ikdfNmbs&qz*a?s#z`0`Qh!Wz6nV$Jp0@LSc`M
z&_gAeA*{%%M=lB6cT_T&HLoqUf^h^^)3TZDUtf?A8zc%lk)JV;qf2i^;;4?3GT_;`
zCv@hTuXsjVBI}=$tO!-s&iHgO9NGFaksm2KK44lR-~S^Mr78szVe7@&w+ndl+S|y>
z{{CkM7kkL}H{SjXIv{r2U^KXX@cAXPzE-1|Rem1%#D(KTglPl!srSO^JRGI+e(vL{
z<Gn)hSISnIc6E3<bl2hqV(X(3FgLX~mb7utde$oMOt;=)FIW(^;!&mkmP3|8-gtX_
z95`jEKGCyVHE|#>S;Pm#3LK2NdlZS7y^3`XW<4lk5WWYsJ1^ZVZ<!Ij*F(N#t^C6(
zuZKfCSsVK+o4FK%4RrP!nvnQ&9Wg~tdn%mt_CfvA0+OGWhiUdzfg3mPG8wE+9KB{a
zAYDDjvTnOw`~l_CnR7xP3|sy7aIc`PzrT%0eMqzWWTjN(;1MUqBDVAhxa5b>K?|Qr
zlHb7ZFI{79Mfy7Dih8}!Z@fLrPn|lhsMmKgHq3o&g4Cj{1xsB?Q$Ue#Rn<9OWk~W9
z^SA}gx@MY`ql|a(H`cMyOr!DFB*A3~#L$z4y%(u7=_G@8`GosiUv5J5C=Fe5huewK
zfo&>zqtLI3jawfcdH{fWd~5O7pHVHkLqMh`&qC(uoYLmA%h;9&ZaE2G#dJAW;~@<*
zlWt1P7jD;1@X}9!Ewov7&`$EptOd_TMk8fI53(FB`|VA}gZLb-$8V2^O7_Tv?aOyB
z+@(VX0!bM_ZShF<>J0>_JuX}6qP=TJFWka!6wBo9AiVWA&im^=1J7**>9l^KNtFNn
zr)qEq-}44{p5Jbg-;pmXu>j$AtBO83ysLoK5wtz1g^)0g6fX`*7HR7FX0X9E+W-(5
zp$x!B%Xobm3WK{^L>qA;_x03T83wvDSRaSk1Wi17PX@8APzn$w0fXgzdc$dUH5!g4
zMBq%SM^)V1bYE&wx!v5w1if^z{v3sk2qgZ3IkakHT))iOzMNr!RC}R;{9Sm8jULHV
zs#NNWW{@FFi32A;8F{)GWj}gsT>SBifQ8K+LNa(zh;mU81ep%v0!P|k^c==X69MPS
zdw_q&haE`_fpp6lKHQNqNZS4zfIf-|2<1I2vU~Z{ibw;*04k{4DHf+HaxBnjgh8rt
z)XSb2zngOH_mMy%MT^bk-RT&RY61MLnL+BBnnm($erLcyeabU53XH~NNl?*-38V9Y
zhm^oGMzHJT0@c7u`ZUwEXC*5u3xWsE&Q&OI|2YGi9*^`Hi1^GkmxfBV_#e!Uxg}9m
z4-vzhyW={M<Px74|2PYJd#@<=rmVtZ6s_57n9>apMg-7Dj_W0ioKHo^&{h|aUI<LI
z-T3+4;Z{tw>V;1PY=4zu8woU6i35eXmQy0WC(rTP;Vy1ax|hWR05IXXzW}sd*jxly
zKmf!tceiQbtaQbSrcNcX@_ltP@CtUlBF695HG+ZUE}8v6D?^H<l@(bWuVi&~b*ml_
ze@f(g@`eJyG{BKva{EEE3Ppi68pTtkx)dHejOy1Q&nF)^<7^iMex(MP+H*gVUl4J^
z1VK66^ENudv?Nb8u4#C2F}NWP?jPpd^DTf!z6N7QV*>79eC5$tlcPg&^g7q!*!b&l
z4+&`p;kEN=oBQ&MZF<Frbb1yKF_*tdXs8D6V3ZoP&C9(3s577y6coQQ4N1hw27sp5
zgXX7oo$+C4ymh2Jwo0<6A6YH;qo{S=5sUR(U`zsaP)2yQBizMDqoL>2O>4b*_#Hri
zBp;ibnZ?D&W0Uc*Mf=TC*d7Dikhs~JI(s9~9|-^jy8-k^bt|9V<pRlin5IVQ<73bp
zcxL8%AiT;AG(7q=^PMXVeYM#jLvi8a<_Q_)vKZwWK%$7T?`9){?9e%aV#XEL^jqJQ
zZ$wyB*V*zt?(p{&gNF@EV=H;OJMz6gYzIZv*FG^6!y7<ZHMg*k#X+eJEtjw#fAmsd
zey$F{jVX~+IQOwjAUJ@a<xH*J>tx1|#@@nl34>lwLI3lg_k2EKzLr>1I0HAOAS_Zh
zIEo9t`*?QaGq;(7wU4{Bvhj(2)%qk1mKkcftccG0r5SnO{4vkuZUFz|E8y$tuD71L
z4z0&ivYm=BUr5U5N(VufTLPu{=H+N;LPv|wUX$f{HDzWlHt!AWc?eRk)&&2o(D0R(
zg*Sv*X7zkVC?o_>2R?uPEOjCs&+{gm(PpOV`UHwq!INWXmVNW{(m59LP=xJR#IUe1
z;FN6i1P~DlVhHXpD8eq43*|YO#g4^52#%Btga@KMZ2aV?^>L#ne@0y3%M$JGqm4Uu
zEXOe9Ub~-Fo<9K6%z+CBa5gB)=j-xoit|UtN%XFZGFsd5V8cQQXPhikN<P9iib`s8
zcOt38<(}8_Ov5Hu`jS*NG|U~;BU|HaCQF|5lAM6d`0-M6RmQRdfQ)bZtkiQDpzL@}
zXj^pKoPl;PiKSnACJs$hYw;&bd^X)!>L~52%==ZsNSGUEghmobEK;8Y&Gf~}o4Ohb
zbN}|j_~W6SCuH2W`@jU^Diuh@C<?{IueMPk<kp<%hIVNOiG}S}s?Lk;h<nxL<w`Om
zJgQzyy4X5Or<n)PIDl~U6CS$~t(h?d7%6ZBl!B<rIFo5#>z)x;9`Dg7b_we_et?nL
zN8u4Eym+QwXB+E%#xzFvji<<%aw1Gy&2jeCigQoN@+4l$u=Q@t3=L)aXu^s&wskeG
zHMGvv2`vGfwf4ZF0sV1VkD1N~M!mqVNC;u|c3F!9xZE?hB*RER{TzX}4d!beiW!t&
z6%+`NR!~=SIPPS49UL>zuaucS3IcK;O^QY?WTum4tmv0icDc&yqWv$g0fIh9-#5zI
z=Er1<bpma5y)c|Qy{zBPGF4Blk1O@Z&M{d&Wwx3J0786Yx<>0DEDYk>oLCBiTh&Ue
zOE(XF#J+3HEY&7NPApA$^ne~xIk=zFz2;y8u0v59v2Mb9uaU~P>_E%c+Tv#ga{0B^
z1i5$V+pGmPJ6b_&(aVik#D}06X0RZc!_Ph`0K=JE>1Kmjgxl`)JZRSk)(J({3}M34
z+E%KGVm<(kXIrdT9P$o&l1Z@WvCO}CUptlCBAHCv7*I2yoyv-)S4`jZ3M~myKULDs
zw9_m_(2!tPRAE0(s#)XB*PS{P{WB^r7`3eg?NGEm4~b{9WXLFVXBL442TAXAzwUKE
zOF<b3b2E&_4J$jLZ%<cs5fvlAlul*E`=!E1)r&Ne@_O8JJPfP2C$U~=)KMgS0eK8X
zVfB-G?s`LM`IQ}EWwqiq%w-^%CKqLV&`Eyg(8(h?(tOWqeMx3~siLbDFXKV}a0#Z4
zdE(c>35v<C(szD#zJ_9gIjlMDd4<YTwWXO6`M(o%kK%!^s!sNq5zcp9XmEVrOYzUl
zf=0iq&Rdxng0v++SidW*o>)pSxNDK=U0)hoh({-%$~SDX2Xdcjv~y(amf*cI)FLOi
z?ckvGszZ4`Z9MF8%mJv^i412FpVod{KLJtvufy%T&V~ARcbmUI7-VjY8v*^2>f~GY
zjfRBVy$btVWE^QR2{+Gz@Bi!=9fY^FBT0+NmK)fnPWb>Uxz4ijoo15VhIGmSQO$(I
zVOlab^IB4INX@>G9sJm}L7Jtg&6YVW?U|6ZC2a}>JqX^nVChhREcPKUrr(xJD+uQP
zN-y#e6AfQLqJT8#`@HsZL1Syk^xc_RB--iY98Bbr?U`XY^E?>WY(kIuDiTLS0Yb_y
zm8R(jD7qcFB*Hak(l(6jaV_Ju>fKh-569~ve6h39D!?aZWmvRNP~7Bm>;&*Ko<6TD
zY7u6QQ=ZOp5XRa}x6pNXUe|!N^m=?WMp0zC)fjVRO9Np;5aL^9czgOO&yAS^?exO}
zMo_DA`Z}0`V|yA7ssONWCY=%`OA+F`^qqwBu@h+FzIx9`FI_>J0jz<+Ke4}@aI9mS
zJxKSL#T8Hn4jtbbGGGNQ;IggrQj1$T;F+h`4vD=-CryVw!yS53rh#nLwMHEw^cmy6
z*>w%4MOwRrpG7^1gvAku0v`xxs@&9QKjqmf;hBT_mZW@;I%Bm^6Fdzg(T$9c!EXB$
zMA}&XW6BLrD>C3l@pXeQ=8tMCIe#)A7Cb5>0YT!D5^Q+|^U*$l5`i$GU`3nB6D(DL
zDy?ld!Cltm9Z+NXmUO?I!S|WrmzKDPuw2+k<5X3_zU#BkgLB8QP+&v4po99i+-eIO
zbEm<YD)WTaoC7r{Okf=XoFpVi4-uh2Q5}4(di&Q&{*dvq;rSOGtyb&(RxLy#Db06M
zm+-2!qh|Zx$c(Yz7KvMi?P;7o&&ecUBC|$Wm&ERD`?+)v_NbW0&7_d53f`W=SC+!W
zGia-Xah2sxihwN15y;Jmy{%O_+W1s>tI4ehtCNnpI_T(h;lf@Z%2|tUTFGvviW%)%
z2FzRxbDRAmIQyfMK`=R{=j`pRR>PHT`z9>ffboV0O>wch0Aa(`2D!XR#fzq!oFQPz
zs8+%JIJm~GaXbOny6j6}$qnKkWdV*Kg4@4R(Npl|AMg%2m&~=?MBFrb%L=eksKA1Q
zLo5-XT(sr+K2dKY@I^ecT54#uE_$eN1U~hCB5?$5FqrrzT<4SX%w<a+_}J}N!ld2?
zcJm9F_a*AuH#|b6Ui+&5;lW0|9#A+AxnwTl#nF$7`tvgUtYIH-m85mQ=mI_pY*W<&
zMSf1gdU)$ft+L$gtZ0uU-Tu$DGxjl@qtyvhqu54|aC;-{th4jOe#RJSAVd(c-}z2v
zSd)OY%o_S#0o@Q?mh_^S;%f@GmsUY-^@7%b9e&X!#v&Vq`Ea}_H*{%atCPmge8Q|}
z*%{c(8l*EPpf%xCe4t)0{mht(-0Z%NQR`TFnQDM20s5wJ{bX)1+nk14X@v2G3o@{R
z(V=}@N%W&YZAGUAI4RMe5~vKG1C%~#0?%bLw{;m|SXOjwu(Y3{BIjVq{t9RuK{G7`
z5~T4Jg@*Uk>Hs1Q*C%-Y8&nm}H6v=9gO86@vSBzy<<>=hOPTTMLMy4xeGDpzUWJ{F
zag%DTmIdzt#D~oJ78<8clHWd~vK~M}wZEq7HVw8tdi79?`U4xY{p?9a4K+;Q-JH@M
z8$?T-;aLK)l!7ZhUrDxE`fJ)Xy+?NG>!e83_DgOPO`S_c4#X6``^rUO2PM#BmG)7p
zI-C%4Xvt}9YyD^B9~RSxW)-C2=^(L34W4x}9%rVHvw9aX&0}ot?wga=h0W0QuhI3K
zX`0z+7VZ$ZS1n4{=^g9@;1t4~j-EbF0El(1>Up^p`&v()JQ=z*u8%t=vB~IL9a~bJ
zq$AVRgM0?}1f3<1jV`;csW94oIP0-(GSbpF;Fkp!#}i@)$*3vJ4EpKn*c8oh8)ruP
zc=WFm)W;6+e)552xBd7!m{bIxvr5(J+7-z7R#DDmZ`oaAbf$i2cY#69%UNS*E2iDS
z<^F@fV05H}J*-BBXFASTk24x&BHU(as5ber;(_|pGd!^_1J|B5J3-KH_EKj_u^>Lk
z#P7`*rdl+Bq)SyjCtc_D#>0M3k7C(d)K!+x=@ILB^n$rGa!jq1C5Bul_{VDY!biJ9
zTXo@$;;OgJ%q98aaWsRk2ofH~HgUxI#692%SA8U=n8fiRJvh60VjE|d36AQ)a~I}o
z+KU&Qoba<6^ub6f@Bxq?TdIUK+Hq|%S@m&HGphq&WjqSE+>^q#X7r5f3MVgOu*uTN
z5i%<zC?ISXi?}zTJ2K+`^ULiyWt!%tg`2l|yW{OB7b;sne7B{KH=MvI4AW2w)@+Cx
zT>g-$?=?gJJD?Td0PfJfO<Y9qY*$KjGzJf?7riF=Tr;3cBH>`MnjA=7$`;<L9({aa
zaWrJy@KP_L!VS$m(Lp+?&V`us>j0K>WfUn-@k0#(Xt(^UVhS3TrKb3$bZJj}LdFtp
z20yLOkE=#iLk~qA3O!|a)fEY+HrL+IGDRe8q!99YFGuq5_i~p&k;FLE4S2O&fZ?R#
zX60X5y9uj!mFku@lbmLpB41q_uZZ*fZLK?|%3G&$*{?QYb}esa=TwVrg^|(T#|G>g
zGTw4|BK8E-BZjYUVfNm#n`z_Dr5@qGbZdY@?S^7G47hs$6iHmHF{!&t*=4Hpu-MJU
zeN$#{*BDOXF@IMwGapab)C8iJ-bJ@)AzOAd$X5KGf?K5~=njg@^fRGc*~TSt#yy2H
z!i@ksRCrw>T_0K5rm1*iqt^S0d}1|CDNRKfPOW(2(}&BxKj!FhnF}^?_jY^MWszp|
zyEF7w3c0G9TSpE%X=sgVS+}r_bWJev@+APil|s6Z_Ol)*O_L^wmV-33C<#5LHf`$Z
zqSm)+rW!Y3(N`*dP<joc`{A1ZEZNQk180>E+VSYwxVV^tn6lq+Vynq*-4jbsv(wU3
z`@_Bsu+9?@YRwze;Z%jQ@i0y1St;lVQztCbz-W00kSKUa189+#3}ZQ~R12at%JfSD
zbTz|eGIb_P$(en`Fy!ATM@=~$GJU9c6H<evRd>j$eK*PO?lio&XCt243VH@;^yg+$
zRlV@d?}s2K<IFQ%HeF|0n0$F1g;i4}{qq?#sRE^~fffKCx48kMFRmVUYo+@>g&$_i
zI;_i+QPpGgw(5W|;B8)wq-LwTSme38ri_7{)N>mpD0frV64peNEWll>2%3JHycX4T
zUpvkFdFlHqJ4HlD1*KA}g`S;>ov+DUW6y4<IM$bwh!l47+`|h4woh*_{8qNLUP)yD
z5@6s15`6#6!3`$?h&+tv#VXr}Gi)WsWk&1A>5t^Um{h0B`xu;n0uL`fzLzr}=eFf|
z&2ES)o5rE#K;!IGOEE`pZmSD~)!I_<WwEl^a%8u7G#_!xK4(tUR*gi}by929h{zn*
zEgTauqHUrO@u@!)(haUM&5O;(qiYJ9W_Ysojr#yEUO>5<aK2FUu<X0_f-pU!ng-iJ
zmhz^k%4rXhxgz~U-8DM?Bn*K*ZAnF9Z<odL)IJKBmuyoqp^80hRn_k8x2{@NMp4Qa
zNFuNk<r`;Yt+nb7%zYceW>c|#EhmJ_gcD<vWPWe`;kKlU90KAjJGIWGM=d~B)JtW3
za!!D`EVGifAndLC(n>7v5x7)xmq}@NpB74)ON$f<3F8hsu~|=+VlnaD1I=c+@)bvF
zXym5z4X_Ho`0HJi)O55KiQ1>}XWOdtP{mUes3d&Nc<a0LoeQF6F1t-KXA@f(y9e@l
zS0w0|DYX1FXBt|mmAt(xE1t|)=e|fd%=cZhtJ0oqEqa<P9oX}-Xbr7C<pWc+NxVxU
zJpF5{G*-c38)TpoKk!Un!m3^2=?(=k0u(Q%goEJQe))Fqw%=H4mo+StL_CAJ(7vtg
zXS>A<Y=UlET>wbMfH$R9qYTj^k0*$|6Oe@#UrHH?4esh|<vo44aFORi|ERuU%_ME$
zo>HnX^aOR3xYiz_#PciNdzG*|8G5gCNIW$NmB`g>8q(ag;y1?AGdHYk0c28OPIZ`|
z8mT=k-`rWLb=EX7eYqTm*-XU#YpyD9rJ?<`(V9=w!rGd}=O6?H6X{1WEHKvWDHP{7
zf%mtXsbXb#petRzS;G2p&^CO%h8v3fNaX(RN9xj}NjlRH-c76rgwGy--o;Ci*_xdQ
zseC9HFHD-ZblL(?7vqe2edpqVfY684dVcl0Wk?E4k00n{)*_|?R@V0Geh&L!tFu9K
z8b=*g-k3nqR5W0hN;C*uL!HsCvUxZEqTS0n`elIIln7|lYW}TgHU*p>W<)sxPd>jF
zMPy-LQ_xP<PRh6SDf`)tF?!$;I(HbAK$y=mSeTl0NGQ$MAe`fE){ug$gO#nfw0H&(
zkqItr9~RSOR5#w`m$kc5n<;9ed1k#*&N8X$%KW3axhywFz3okQqP4n=+&ar=kR|<K
zfjU11T%f1MX437%C|pTX?3mRfGbT)$Psd_uMGhKsP3&`8mR1kzO&^I{@WC^`CFnN@
zW9sCzD{Vb$Z$3DA+*A<ujMtHJoZ(wF1G2Sw|6NOOCMu8@4g&V5B-mVB+*5V2h_Yrm
z&*t@gX+F1$<iJmD%Ik>d<{0n-p8(NY=yDWJZw89cd^|z!4BDb7i?k+nL6*`K$YGZj
zm$?(9SvaDHr=Y<g6UAf^jr+pwvvp>b8^H#1aLHH=eOI*IM9tIMJF*BikJoey1iyU4
z8jnks_LkLOCk#}Sy%B6(;FWU}{dD|T6oV;#y0gg!*6Uls+S;RS_B;oN(N8OWs!x5F
zXAnS?rGyb03p*~hD`iPB$yWB@&4|99gcXn`y7y$+j_Y&7qFKjFC>?#VUdzM8mhzVw
zWV4~;`oT1$86{{8(usHKYHsf01q-xy>*Tl})I60(FNJ>1yoo;(06}V$6V>?v!!Ii-
zElY1RZaqh_S{vrDo2u>>*HJCAo36`g$Z6;m-n#=1!gRP)G;H^gKz1n0e=N?w=)rK$
ze$jKV&ARlJma_W?=sc%y%<@Wes82yh%32#wL8dq}lQK3|<$lKL>`Hc)OJLWVxew_c
zYu~rxSk^&zvY2hGdt-A7F4c-d0j70fjIyk<KYH$Oe##URjP-}PvIIeW8@Znz)|C0m
z8+D^(-pLTYHr<I=L3ej9hD>%qH&hGx{!Ba+Szavu<C-0Hd<_Pyj|Ge6wo^W?@L5RW
zA)8IZQnCg{=|?N?lTSAx6cAtUICC@8Zgih7W2Ch12Nw@C%;RBdlj?&Pn~xMt>@U?H
zDEs(bu&zf_?z%8>OS5_CLxN}j52Uw8tirXu%9{n~UZk&wFv^ym9u_0aWgg6x#r8X~
zxVL4n2|tIqZFoKsn`{({YmAExd#<&33x8y#5h8e9oqDCAR7tTQSTq5>xozi+d|c2x
zLeSsvQ~ShyS`L7LS-9}HW^GCR9zZd3YtYpPcYzV$zTmS<NDsZLpMla)mK%Kw0uiv=
z{C=ne*h&*cY1~_+n=$P!a^QuZpn=3@8+XT@U)N=L^aPrPE_Gr*qu5iF_1Y0&%ebV2
zOx?Xck82>{^y-h*Q-SBYoj>1N?lW9_rc3P|r}5j-clntR5uhaYlSZhKC=JoC-z6z_
zy0jUhI6Osa_lI|ToK68w^zXO}{Jqc8pl(JH_6iy5LiK+*X`>S!|2}D5UbhSVc3{BY
z^#SNJn^njiWN6t)(1=>UG4cDsWp?8;7<*od#5_45)hN(2ko$l;IOF@TI{e>BN$(>>
z&3^_N(*WTOL$@u2S(+QD423>ZA0Z-A{aYA{^UqRnq!yL-s8kEM(xHk4e<L(N<jH`K
z;R`|%6=kFwk_?87Q<c-474x-t`#5YbZ|-2NdP9b*?EtZu2n5g#uPZr<GLjA{+qF!1
z2ey8)e$2e=Fr^DH7R_MgRx!bH6Z>_WGb6JjsdQwCbbo0TumFZStGzRI4Vq0qRHtdB
zArYV24(gzko$7LOXqh=>s|rht(l4f8O5Ycz`+cE+uQ;+A2qM5;A;Ly%!}IX}atf-5
z`Y7Db+uuS3PVyxsB2L5)Qi^z5n%9?lU@~nwVS4{;Xn`WA3OTXqyH17U4?qm;>wmOd
zM164={e)oF0@JSIJm+BpvJOV0Nfp($(tc$2=xslmNdU|By;!(LT*swE*SL(>1Q?*f
zS*r~Tz~ddXW5b!{2|XMMXSQo|HsHLj+<EUcH@N46R%4Em&prMrsvDvOg_9)^KI$yl
zdtFDg{yKzTq(_Cpqt_7o?g7}JKT8#rLj#yLs;{2N%E}3RGtcWR1O<9-Rk!uQo<@V-
z415g}m^N4JBg%n$iB;2|#!hmuG4r8=4edQhU**#<UAy(mV+#MSsDh#Yx*WipNmx)s
z%ZB?PNbU-#{?42POW2{NOta#4G<Khd4J)_p==w=K4H!goydFJx6Uq7S%zALyS|<RI
zBYx9utt^15^`>$uL4m(h4h_f^Xm8DTM~>?$T>gID0#~sCI@B3}`%_A@Er#K&>_Kz9
zT|Y-vs!;njRfRNTLJ8n7vd~ASe{zcfBlDvXX*xPhy@&%uXTmeQ;mB0V<owS!FIgXi
z0?`%`Xw<;O?T`pqmznYWs=72C*--v2m=X`b2T48%<-w7Xgus{ySFm(GG4`f^$MS&J
zMIb=V>C1h-ZJT-jD4uGvn4X{8sdiJ5ZZnZRv3}o>)z#(vxDyQe6E2u_gdG%UM}h4h
zqjCM%kp(XoM|lkNi->Zoz(C`q@o2sIDt(Wpo}iZy$5ixd1gHz>s-RFuXwixj0<Ku5
zOzT<-hH1%(Q>x6S?5I2vjkeYB81temBqE_KdN<aJ7^H*J3_Rd$tU$s_t#>svMWcxZ
z0){W0Q9-rn4B?e;(Y{HibSC4S^0N4~$c1``5Lm%#pv4yi1jcRYhhl0FBQ&jpA|7<L
zw(ZrC_DZH#{X$^&Dsf;()HUNh#V7@k?9(R-q4=)ETWMOPc--!tpac|N;Q07pqlj4g
z8Z*<3CY=!o0N|hk%JPYtqoL8TBO*Vz0P+17q6#0$2%eP;n~6V=uu!_xj;kVw_ztsY
ze#XPk4r#jH=$^pUupEf|`stI~J_8~$h4wW}o%C}gi4Hu}(<>u+$M<ZPG=Ll~k&O@A
zpA*x&EjTc|gV)=GbLp{ko045VU~iQxz-3UmQj8KV{mtdqb`{7{R-F2YKjHorR%CcM
zCQeC<jsr=H?(NC`!*2ngJNRnz!h2HO2?!|tp75and3tGdpfZt*L;ttV1Y3_2@?7+d
z!dcjRp3%;Wn-U_obiiX#IFv{Ncrw*MDSBBZ#D0FiFYifqUcy$8y--2xi<~A-a@>EJ
z8Ssm>L+$_(A}|^uL{f=wk4R|7N1e0Tv0@P<Bl%TE2_FVN;*dNX#R{LYOq}uq`o|sb
zgQqJcWMO-@t{y=WE2*7)CKh~`1cg5vSqSu7L1SefCS;h(aV6S)ENb9|)S{WKR3_qe
ztY70^KKHjSm7U6Pz(H*iU8v)&rNalqF4Lgj^tv28QUPwcRKxlRA!$_K-=B=X5Z&%0
zWw-J^O6{COdeHU!UfS<OMsQ-fz|qz6#?4D{q|6~bVrhNLCW2Rz45uu}7-&P$LO}G#
z8w!<d<>-SKreSyfStt<shoDIc89FUYl#(2shH1~4VZyJ9J~nOa^577Ch1N&Jwb@yL
zf4Xw(eZGGqV89V5!U{s(J0?!azciRd`dWSbb1L*~7ZZhW|71MxWsEn67KoXHJ~|YO
z?<*`!ubxGKend;<Ff1P{gWZL-@>lYLrqw`$fG%H-I1Fka3*e9XKYG!g`YFq7aJ%u@
zOLw~;aYpcb0vb5foKwlIiN7SMre>=wU#*XBO+I8!VNM>kKa?YaXQ+S&0h;MQ2^ykf
z=#OWY&+TmOb;`}e#{~1l!MG*hSR1u&NMgC7niK~lke}ZIi-aj_VY<TA-{c+R8S2^O
z+RE9tFL`v+Tx>u=e@6xNBKIc{nJFV*AUSbXwffCU=V242CPhWP*fUYMTmsGwNL6rn
zUw_Yt)IB?$vcZw&pJKw^Yn&7&oG5^8oWL$K)@1`F+)Bmf{Jp#i^~S{jI{l3;?N!n&
zHjsu1m?k<jp!GqE;}nB-vzz~T@|il*e&2v}F1jHzP(+;Yh#D)}vM6OBS|9QJiDLYV
zb>9?hwY;I~M2ySTypITgr1!5$-m7cy=XMlxbNd-&0XI9A(7w}4^{_JHKMlB#CdafU
z_@-Q{HZg?TpD2*<7Ymvq4G;^>YWX-_h{c>9YI@3jGxlYwUDb`rZEiLDlIQJCKOGCF
zgA@ax@`D{tJ|vZd0RHkFQIjukwsck8<NK~(F2Gop@_y0T?V?fC>u!=vJ^g|<Lu|Au
zq6ke|aKnTg<fyoZgrI;!BM*Il@LuACf26**$wp_;a;`$#Am%Slfbu{F?H)H-o|@n4
zd?ogdF79wfLwC>i15D4gW}CVP{*VB?ju{6R3kZY)e!b;Ue(|eU@$vBqyqc>^8FKu3
zg7xRl$H7I1TU#y$&A*O0E4jsYbArNExAn#(A@zl?&kssSg(K?W3iis`4=m8|0LaJy
zDaV6vKGha0htE*eh?J*vE37^3g0);q@9F%uu7r?ugnrDzS#lK#u~O6>a#J2Sj{%0`
ze%9O6$2C3${bxlF5G6GpLc)127lng}nC1V2drWdDo(}$tW>7)y9qI@K#w8|zA7J`)
zT)VwJ|GKo2lf#+gxU?ii$&>t&pfL2=rghb`0ALaah)x3DZR!lG1Iu1SlK8Q0qHv!?
zYiJ`SCO1C{socs-eY(Ej3`Mxw{P^|Fx06ptvu<8~<JVc33;2)ygX{{9lpv(EN)uJB
ze(!#3b%tN;EidtYzq)jeD}ey>1EAN40QCA51lY-$LW39Q-KZ_8@@>LZRSv|w(tG}X
z?;8723xAA}%iX%!hyQn!b_+0yh%QbaRCE{r=ybqto92a+Qy7ANqeT~eT+^K7Uqlx`
zcpOEDX>KUJ9sCf#IvwCYLZ8FS5UvYf6Q`6%n|iLPPNp42Cp*A(WljYcfKz2_GOpt;
zS~doBy)&rjmQV&$l@Y}+7P{2J(sH1J9Pb`Q?ms5+r5+Uh3MLs<^@jF82L;N89dP&m
zZ*Pdw!)0$WbRyJp-5(QQERdZlvIoqhpt-RR>xzUlk?r6l!{_s&5kFmcD`hT53Ix~*
z9QPl!hyNywiDu#>(bb?YzEWt$ZOc8cX7bwulAg^B=HFN<wD;FyWT$g{EPek2QQdow
z*iu)A;$%TDpGo}{R`5}2a8|^)d}1R7pfrnhcFN!wSjKEefKyQAX?smp*RdPL<QqTV
zCLSUbXd=Ag`8q4PIAu5bk)3Yr!lv}@(gz>7mVa`GlD_=DYi{w|GtxW*NDwq21AcX=
zCYgdD-pA!DtshfdHpIN7H4QW3np_bSziDqGJp4p{!hmiwNVE>!)V&E+06uI?z;u0$
z?Kk@~XR1##bw>#@*5}de%wVo|Xha4Z_)A52r?*~6Oa_rWGTZo8Uu`t_5QtqC7%k#$
z2NqC~ct_o1qh<QveIOSV#x=ak*4vFra9V&Qn|=BQKZ<(>v|ltg=d$i;ec{Jk)3?h}
z*09cY5USw3iR1&W)|>Ahb<m(4g|sW?rTc-C9nUOsc)pTK8HMfc<@6sWAQ)ImB+$2j
zQ!9-Y<gN|iWeFpVybNe%^!J)DbNi-|N?&$wlUrb6qKjDY-PPF!4=bVmw(*jYHg6s7
zpzBa8u_nKiH28;KgTa2>h*@j{g02Mt;Nx~5z<C8f9!2>eH8nM;Gj|C)!)%1_cpR*c
zr{6MGUZ}Dd1Pw>9#y~URK}WbYvI1F;sT#fgrdM(zYK$heqoJX(K8g(h$LxCTscs$s
z2(%W9!E~c{LDDyxs8s-cMnGR%KHrJtq`!ykb9e|F{JVEgF{AMnBLJz#wpMl7Acd8l
zoOnqaj5#PRsyzV02@X@!*GYfxjZ#F=++4axlon=Ygg0-}y+@;N=wIDsW5&?!#KBIB
ztO51uG;q&B#ZTg23Jxy!*&K+0WE<<C=hpkYgA+Qpw@xUU>gwGnR!+?wp?a7S!J<FW
z9j~kWOyc}?`GZqM>J~($%`c_Ur5>rFSVgUN!S)>mV3Y|UP!)7?7guzplt(85Fw9B$
zA6JxS!vtaGofzY<yugzOVD738@=3T?THre_qFKvs6nC&ZyM`6#_fHt-AoiUN8U;D(
zuyDoz+xfSS+Mzf6nxj~I?v?vZu}DY)9wC322JkW7gvVlEQ62$F2R$*%{fv>@EKWg(
zBL%7rmpNawMMQ;+8uQ$%`TeqgMv?(dN)j@<uXGhCfG-CCZ{tOpd0YEQd`KfP;0fW$
zH0`S=ewms;o1-mO>pIc>DsR5}E~PMfBogy~yZ``giFj;@R<3_Y<+uiDm_`Lo(d(?R
zt6c}{kjn(DAulhF%bQ09)(c(%2KRCZ@vmuKZWcWhq$z!yuA&!S87Kzp^~Y<!wmIn9
z!G!icPE=whhw5OV9(%T><5kVX(Y9;n%;l7Dd?CwZi>p6Kb13*x`D7^9Pyp-$;8wY!
zz!IDgWJGGp1AwJ|&Jp@Pn_Zpfr8Hg=`AfoV#eb|wG@$XxFCkBm(TV0PML1{f)^*n5
zyM@W!sq*c`e|I@IR>T3sOVofhxblZXZz<Y9qN4ydi^f?Y3z>#)a^(#~+Jb2jno#M#
zq{0G{H|jW?#DNrkhf<pHej#%}gxBU|3Jv#68D9keC<VId^7B``AgTlziOij^S6AoZ
zKH&<?bf9e>f#p6O-|F-@W%wjv{OkD;U^wsD00ut_1Gzp9%uj`JLYNVYi0s7PH7(Wa
z;O`htJkXWGsG?54jRj|%Y&7`vqXJDyaHOapG#xUpKbSJ%tl}YRiWgoRv`c7w)g?<I
zC|tKw9>9Ldi<#7r)N8Z2ROx^zcIbePnSW1w10q5bnZ3>~-GBJ$9s(U)35DQ-?}p=Q
z!L9j5IAIcocm7J!@5RyJ14id4xmo)!JG=xdkbFsV23kD>afz|4U?aSu#-(lo9|S-i
zv#xH<=zp(1zbr24hXFKN($!jtzwU-`B1VUT@6nH18!;n|JcIM|M3VN^aL{`EMY6?u
zY70@2lYR|;Awvl1`a^m!m>zXIf4kn7PF<i8H-Q|5lk0l@J?O0D1Dpd!y^fQFkbI;O
zZj|3kK+d|P(O=FLrGx?PFia=o|Ib&uMZtS9Msel15M^)&4d+m5{O1Dsi#GniZasC@
zD~HEeue1RC$2W3diOMK4?*IHg2)^l{)#pE({^upiM`(`NjxShfMnU`z7YJ71&6tAU
zWCU})kGn`_c)tXt7W}FN7>NIoJC1`7wwesT7=Ckfc?K?7_U&KP|BA<NWk3Ox!B=f&
z7PwjaYZq`rDBzn<A?x*2bOeM=>HAfT7_R>KduA@+0H_z-_xQ&Z^^0uLL2%q3^8z-4
ztEJQ2f`W`|khFU|x*QaQLY(_7`KJ{HJe`~U4&Xou!?nLwXSN_B`XV@^{8iXMuG{i4
zK8c1HB{E#`8sa8Fu4eI_5emA+Zh?fn;LfGx<&z;MIbabQ%Lm}BYT@VlU#$`VFMYKs
zDJWoMVc91{o~A~vDU*9k1k@@vpjH<mhxipOLE4Uzj!t2crlw{}q{)4yNLm4ef`WqX
z8=Z!r#u~>0?moHp@1<S>Db}oqPlphV^}gd<i@T(9QimPSQ1R`rqkwPjz=6a6^Yo#H
zXdtA#8tNn@yI=)Z(Sw5nbC)F3Vwo&6LjZg(N{WcY)`s>ES5(j%j^&EbiY<AS6c##l
zskZEwlU1d&tuajW;+7;@9F#qMQ^|k!aY>OFoZ?{J)jIZc@XV`U+khwDZn+2`_K%^$
zC#n{>2itRkf-@V5p~fwZBizMXyRXuT$X)@)pa}{1aU&TisiXX#p{>N)89uca$fTlZ
z6w>J&yzayjV1WDW3W45EEoAO({=+GM*mRKrkSEL0@i$h&pI;+D3S@xB{=fXjg}?U?
z7}=w^t|va|#7`SCI}!u(X*|RkFdwoOvDo;2y_Ru=9e-=F=zGm(d@EW;$&KbXUIJtX
z7MwSv?*pJncn@a3eYc26Yj81tyKj1Tp|oUv)IuS{`DAo#;@rv0i$F;f5gGgk#e$$L
zVv$iWWClPm{{FXL7=T!>`K@>|=RbbUP%hSv&<uTd4gTuo`@cS-PsoPwV?FJl@jrfz
zh|GgV6u|4~@t@yj7%Bo|>bF$sC;U4kLuNY)v;#}>->D24L7bhPK~B|lo4<d7+Io2b
zKRGhNDhJ{<$AmeyyrMso+mC1mXEVT%m<tR<zUygexeAa*l9Q6wGJ1c=5GrLZK|~;P
zPAY<GSCh63YcEjEyK^=&*VEGjx+aYz`)xf!L_Se(N0=>hpWo2<^Q3_O;z*9{H2=WB
zfcXtpX0Vig45EM(!m5_5$&02Sf%tkXxs{iffVZVKAc>_0_)Kx)7U30@U^I>Zy#}C{
zd@!V@rY>vVl}SNyBLZttMl^Ujp2a)StMX^WMuUJ`25CZ`PJVuVo}R}5(d*i^yYns=
z@&_0MQyPfZzSr&w)?W?YZVpjZRZZdEaRz&mNd+h)F2{5AErO|=i1W`rG-V!>8@Ap6
z+0mam#4f&V)Xt)!s%J_f{WOTAXo%7e`t!9RZ-~&(pYz_|KDed{d%Hb(vIA1yw_1Al
zUx07hLHr`#*o|Rl|Dig=P%45=+cdsHhDe%lbusug7qcOPy++^RUrw^a)6&!H59bmR
zO8q}S;&FbwQbkS9=SX=)zHbP;%;w%#YzE~)|2`_|(0aTKprbwvQtqU*-)lWGzM|nZ
z$B22Yd$NC6aupr%CX{&s>ixO084a0WiURRAbe_UpQvDB&2`rTY93YxL#PuEccDZ2Y
zYH0P4$B3U_|Di;tXdYT|NlDAa`RPxDk&_bv0|Y<No{El+PQc7*KpYXdQK_A9@ouw~
z0(`$Ow|Vsj;+uQ-eIH(@Ll_(w@Y^4jJbN;yp98@lpfyCeD>LEumm9WK7eT%G;Gxo!
z#Iui;V9cQqAaA&|Gk+z}_F4Pbn3~&IcX#*ZYcu%XYJ<J4GOpG9yM~zd3X?9G92JsH
zP!eBYD+XpV^)%pK2Mm&&_xDTH;)b@in_G1YA|Uw&bUluumh9~6nqe<AVaOEy2AJ9V
z$Gn%>pDh#pfq5MZi~PP{^J&>TW}qO#L7w(%cs-WFgFg%X#nhRWU_Qfd56iCD;Zn?p
zaDj0DzkhuHW&8fT)!l=)<9laL9r}3?43`u@;+gHly}wMrAiB74{~|@7`rWOe7Coj+
zQAwb$1V8ieq5omLOjM+Fk5x*|osNbZjX!ig<2AaU4?IRh-bKFNek|fwc(wMSd@!C9
zf=HWV>oC4R!5r#}F><{Rx;@z1|Iv0s_RwcvMt9J5+C(lanz~xsb^!KV+ikBj+4{D0
zAzegd0Ue+|hU>bz8UJX`Ioj_Lw-h;yZbGS5+&+9wvSztxJ^#9)$8JPl5CGA=$%f#N
zG=Tq?!K~3zeF{>cp|N^VP}LK&<GRidT0oVz08ZR4Ib9pS;*J^CcGdT|bb|M<?d7`_
zpK%x^_}87@4*$YDgbnR*yZ)Kz4_^d8&S-FqqHT#ULWO3j&^i5b6E)TI5?m`xw>14v
z*D~@ZVUrNSb5Nu7^47h0nVgOeu|t64c<tJ?pS<3-#%(5D;jM1FpZ`uV`IgiTB3^%M
z!GXm%y`7vTx9iJbFr{pSj`;1#$w?Fcl>zde&1rkk<e|2<^BfLJg<StJ#c<)zj70r0
z%h!7ysM8GU9d}@X)t?(%Xm--A{k|oHHhgbt`SEs`(6SBe`Pp)K{-1r?k3ygtO`Vqf
zF(a#<S%vI_u3@oo+amAJpMQ~M=nmlQmy}x)|HbfCVAIol{ZrGfltci;m!;kNm4~l#
z@U_RSKF1(2rrvYU{9Fj&tpJ^tVbJ2m-8RkR*K-}<IP?Yv2HK^H4~w6YFTM%fGWhrF
z$v5j=)<!@h%-Z_;k2AivJr)t?7n(rD+Ec%jWstR8@47Jo)WK*~v-jKeb*8<qcJGe!
zMqfSeZVK5;;XY?<@dcTs!Pw-mHvjt;PteJB>7M~agwTv5tLBWcXyOMIHEn#ec}B_N
z!^oNeFK^cR|6y>rGO>IR@ZS4yb2`KCBoxw+5WvgD#dZJw?KbDphmu&lXM=MkpO(``
za3YVOx9J{2_j{T4;eDTL_PsMS$614PkKeWXj(9ZwLlm%$ii>UTbs??8K~4m~LEU<G
zsM|9-I{HvVBUHOIH8s@-)Nd7J|NIhhU%$yMEbwzhMFmKHe(_aKnAQL26Y7Mlb~Y_p
zctivoQ%BH!`zy6E=|*318Xg@e2voIR4I5xAAK!?K(E9!pP#Hb7$^Dx>lVhcZ5HD|6
zD6pu((eHWmDR>P4u(ui=902WD@xGtw?w}gDz6W#Zrgxc>PP&3RrlqB&m2_`=P<6>Q
z2<;gTd9oVJB7Xz$?8mNMj@#p-A9;~ppzQeY)jc!w5n!>T_2<mnT`5K2ePc@c9|VkP
z2Z{XyQb@z=J7{4@LL&sj3B|HB)B`zjMiXJ$40q#XkXVhkfWh&Zy7KPpZBT7-#}{|q
z?|A8!NZ0^+(pRHhq62~{2?>dj`U3&eA&_Yu{!o~mT@1l~-KM24_58NyS6n>0vr)oe
zp)c|drXPrsu^ndX#mthW{XT(40I9Ntii%HGM3*ezGpr0|&_g-JmnGcf#V1EUvS*`4
z^CxubWr;uaa!Eh2_3t2DJWLUM^Y3nr5o&2`f2#WQ>C^hn=eiTF{$~f86UyirEFOLU
z-=qSe_wBbhX3da(0Gambz4OX|Ub9Ek5B`exGWEX4O9@%L@mz2`b0-d?L=q7*>X(&h
zWW67)hElPU5MoT}Kr>gOt<cXb>$&)Qn6JE#z8k?Jl|vKyo-3dQBbh|sXH1Lutcakt
z>`s_bi6j4M7_=z?gQ}jA<&%Z+r4fsqZdUzN4zP1`yGeG=5SbNa@-c(yWBV{w+TIVe
zS>r8X`I>&@YmO-$<O=`F(=L*hAI)g==q}0GmV*y(BEyGDi{k0ZKB-fH4;0BDOU0yp
zM4SFZYTsBpPN?$^O*bcpo8JXL`3UPuF86w8f;B%gg>tTF06jvNt@cB+@nnR-B{p>o
zp||}or}OJyRB`I_Q<)0`J{S97nM>{GXv+o6i1ABO=PEl7>Me@wN(rX5KN`f+SL>hG
zQL#d>N6$*T(zrl<iP|7Z$rlS$I(_6YZ=ncPsdz|+*}(NusmGW_SKy@rLsdiu<DJPT
zH-p1i9xS^MEm+b@<w0weLW*84_PjU7O~j;U-t}GFbh7tb0adW39}>gHVe3_euXReJ
zIE7OqZr>j`?K{e0;CZj58-8E<YpVLHB+B9g&n<9p{WZ{&@rlUEX<2ZQzj!Vt(`%O9
z=sGR+VBtUAbSdWD<>QKq)70H5XSeD7Npw#(m%FK71I%PPPJsk{WLl)kthK$*NM;x}
zK>IX|a1tfMKNs~aXT(!~(5>PzoiPi!g=9gHb%TUk{W{0XndVtce~QCa$4`)NZ1AMq
zLJM_YV=-=&#ixc_8vjnI_D;J=UutLNCs2%qgB~O4=BdVaA#GyJX)zqlJ@`V|q$A#;
zJKE1m)X^-%PCSSvTt%8{e8q)`^HYl|yM|C_szTqr>`n5r0huSl!pQwxB>w08op)CD
zT8#C1A2rYJO9t?c=ks5Xg;^Sm0_EYj{0%u|2Nmr+zhk3IODAI98e7d}X#gZa2Mc!H
zXHoIkWMn&?;`I4R{qbCt!As#kO&wom(Nt=r=-7~uuPXEIAH37GguYr?tb3Lb+Jruw
zu0|%1Envy0#Ff;3xTHS#&{BbFGO}ZpNkhXEll`0Xn?B5#HL3wK0)<!C`!GvGENHS)
zvH98c-+y3YH*gHQC5T@>>SW*VExBuImh%0>TJzVWIIZQ*lsaP)q`MTs<|I2moqrN$
zn%^&oK9qZgqwvL}I;HpPuD0-U^oAHv1K0V5eM^!R>hIp=l%(#8{1F+|J#4OYH!S7t
zhuyTVpGRmf9wgp4-Rwj%zSe_~dVZ#Lbx{Ef0!+Tel@K(xW)DVVwza^#1Zl5qLBH7$
z#^|%75Fvc!Fp{@4SbTvF?{;y~L1L$}xNvVou>hWk^Z-jc03r<_kfD89`lKed+b{Le
zH3d^dp80vTGI0Ryn^Y}*Vx}GgUCkg~_OVKW-q9c7EQpgHK{p8L7paiTaFLQ-rzY&$
zU*D3BdnnVYLV62AGRMIjL}@hf3}|QK-8`sP0!j=*pKFw#vxkWnH&zmgNWO9J0{PJ>
zN}Fw}y>`n+V}{rHw4)c#naa8Ux!%g{KJ4)0TCP^xS+=3+`sOKT4zt4#X8WfNLW6(p
zK(J(rn<4HGqX<dcB<|d`h^o2sF&jVhCDQBF7fuh;_Zg8j0<?WgL@Ge?CL=87H4{qD
zp>|cDXkWHhL!$OhkwW$~FmJ|%DgxtDtj9=;(j}_PtUi9gD`}Yjc^_wtw4%ey9+j1t
z`LHjB!<*-Bd}zf^bh-D-bHd~JcYJLf9k%cr$X^9f{W!A##Kx<l6I!)W(iC}o&3X&u
zSuk?nspU^ny|%&}&C*4YNt1-;cYbD#uux4*N-8+24tZBBTHCy)b-?xceR9xGXy%am
z!a6^`c@h403vs9aqgn2KjT!B%{}_mXsXc4XM>C!h)KCxa8@j!wK2%&GRIdA37o1;s
zE9x}3llfmFAtJ->wcoNlE}_(K9p4-s+sd%ke5JMX(D~t9NQ*yftMlV1Xpv3hXX~`=
zf0x5B^az5)e#=kSwe8Mo?mW|5$75toD_MC}XvCY;66r10zbpUsQ+W$y{53c7lv)V!
zJZ8IciXLLAW>w3r<<);^bonF=)b@RtREnx<10*$BBO?i={Exl-=SdK6S1bPFM8s{C
zzJ!oks6wTiq<2#xPy1hXhijlrXCxJu5@Oq|U44XQ%5YUGJ&CbNLAisQfA!_BpDa^E
z{WRpKc`%0S$pUOpmJ(fRt+-^vX57^OxflPMg=nBC&l~eBn_BI!`qpoDS`f%evdEW!
z$IMoqOP-scQdsB8$?$uW%rpqDtg4JWbB!{76wfj~w?Fb?M@L7#vBB`&G*Kx2XR^a;
z+m#yr`2Qd;7>!DlQvMSc2ICu*5RTL8O4+2T-i9T@MO%csb!Qiyk_09J40-Qfu&a<_
z{vpgCJ|LjMN#cSqia+#_H_3TVaxi^nfaqaq$#5#Bz>gwz%4JP5`1HR=Lq<29G!89&
z6^(CLbsN{)>aji|1qFq<6(5g|lGK**2$=@Kh|#0oeE0vl8fJ<XA*p<q`^4p?5Ip^W
zE8Nig-fC$XzBhjkS%7TLNU2`a2<r5Na<2UP-MA|5g6O9y|2=XEUVf5rRh+W<ZC#yF
zd8&kV*-bN%rEiE;Vd3GxkYx3hgT|R1`aFc{qoANn<yoX>agfh%nTSh;ll=Jal~*fK
zMl*V!nBESQD#NuZ2z?+x^Su+Phq>Jr*uq8`u(^h&M>a2Zls9|lEGS|IG*sMFuWsJI
zZ@_^N+y~R67O~xhgmFF(UF3;*;=UB4HCH#(LHcyIkB*MszJ(wU7~R%Q=3;IibJS7>
zRb0gH@(%x(t3pM2oFve4W(XcIKHM*vk9q!Mdydp7UUeJUP{zc>gcqP21GJBavtxJU
zdDl%687xr4&BrZrM*l~4hGIpt2V#Z4JjTwV!`M{am$zvnm^wOi&^ce4ZG*5)yE-{J
z+1rOpOrz)cnc(t0T8MRJ9HPTE@la6AFmI}aJ8}LM$M#%El(=f?tB=HSsieq<6;XbS
zk*3rrs#?0bFAZfs_J^wvlum!qt+VeR9OUc+ZM%<i3?JMhH9J(x4O7kUPM1njRF!{J
zS1|uSOmqx6UW?A`U5oNFQIyAMkMb+XNKS^ec)Po0_8|0G03Z|1(#J+ZP7V(joX}cH
z157f)I;O46PHX;qilR2i#sxKZPMnBr+Hjvqza5j4lY8~*mD($PYJ|}{6HrFeYmVSF
z2oJx5K>CbXOZcx3@NyR|UyHtI9j4dj{jeD82j0l^+TtB3Bo8=#rTzr~NS2kBMnk*n
zXy&IFx+F-gi8!#caGc-JdHoM>x8FokX_PbK#K?Z^l|`m2(?(W#*sEK1G=FblrG(#j
z4uMQq9{{<mj~B&uR}&)gsn|c7Sc+7(2{#2EqJK#q013lXL+$&Rg6nH?8<B7Q_{qYi
zU`7!tOsH&R`19vGZISP-*@zQ~v%|I-B=ZWCgoC*M>wOGcZOUENJV~f846VKRBs@GE
z&zCnWCk1tp>yh6b4}j2OW)_&2HErBXL@6l8G)kFf19u($s}rFTNY+6;Xo;K0v0=ff
y(?Q^0aIkES3iaGbZYaX6VFb_r2*Wkxb5wu6s1h%A0(1oMPx_I<!_o(aPyatN^m0W2

literal 52797
zcmeFZWn7e7_dY(1v<gV7q>6|jpi<H!pp-NWNF&lQgmevu5>!ACLAsF!VQ3h_I3kTO
zG)Q;nP`^F+sOLG~xBnOa7Z2wnGe_^)_qx|!d97<th>DWTdD6?I5D4VFoUF7O1VRAb
zLOY3};04Akj|X1xoYZ6_A%*P>^Wc91Ott0A6cr&H;5{*f0FM%K26qYg4}y33^uxH1
z$m7xfey@hd{-0~Wn!%P3{L||p5FPM}`!NE4aG&}4dL{+$&x$F~Usn@AQqKH(5A6h3
zLwu$0dw~}cd)dcM5D3{v+#kGXPBMBRH$+bQzJ?p#(g;Z`^{0_9>xu8`$alsGjjN=m
z-$*@wj=UUx@r)`}de?izcfrqJVljFM(I*=-d|eh3mpZgw)fe4iT6d$tQ(c45&`_uf
z#YnA~_?fOIy8G4;DDsNb43&!T4vB3hnkUOSgP-2)=WAoRg*$<gseIzZEJz6SAHP^@
zVAY#seZ9S!aCqPM@81Qzsf89Nt+D-_szDpeLKzoe5IlT}Kfj*Kr?^`TQ2R3xOZLQz
zKYskUs;cVJrAuVib|TunVmtia)R1_4%<68QOJ)JWi8pF;?K8F1e=h+`QN%kqmnRp$
zYIOU3fH*1gY@E35=L}o?2G89UE*>7OSGlqdMccLuD60xG&F->M;a)Ry_Wu@}1&P#e
zVA6>zi#B28Fn(gRS-?{E{{4G}815a9rfx362A!E&+oAHo!9f^HN+|V_4qh>3?k7?Y
z#aF_7%eVK9D}GS?*JHsTe(&+~FZQrLE0Bvte5zyHLQ$SSfBxOOcVZq}o!GhOf}so$
zEltgv*j|EApJlw_5I@D|*5v+*z3_7k>q<|r{!2WHXqa}aWng`-w59i>E$ges1P$1^
zH&4bB5)x(vLn$DuV`$%lo#pCRf0;c%lRhg5zZ>0G!Etvi>!GLclE$WPr2l{I5(^Tx
z2qm>!CRhq)vrRMHv<+-zBkVKYT^ZTj*jVCcXB6kjuQGgq4t0#r@*($nmx6gjuy{GJ
zhHU~>@2n6-mX|2?&rQT_r!c#bq>^_Y)1ofPr(7(&GcVvT1KuO+6;tR?vHN(l8FG7g
zmCn#BwcBh((1x(`&VtyU>ZK^Y3a!B;l{oT$nh?&S7^zjf=xGrgGR&IRlrthWg#EQO
zTBg{YWouuiz2Zwoo5Kk0Eo(NPHrBPqy^1@-{LGx^1Z>r^EL$2k4|)E*+VX|s;CE~V
zZat)uK-E?iq@1=*YNaTrWO46&Pi9i&_UCKM`!;EYrCX2h7g1vSz6>{4N7Y$n7NlS}
zj7E_7|7Sg_+l^Tve9`5Ss!@Fv`|O5M4Sig1a?0vyrZ~Q%MqfQ+f%K8ot!nudhPW+{
z8FwK*QfQgxi@Y1^CzreSe|8ob;@o`IAdhf5o*mOt5}ZkD=?otW4W(J2rKXPcAj59}
z8`~4|^5r>B!tyV5@WI?ctAJ<|<uac>gGj!Ai)Kq25crM_tC=M(znC7;$H0N?O{F=5
z>FvEa&L7nf3^n3xK^3ZoiK(CO&UxNubyMPr@!kLHldwCs+U``r9Am6o1(3csC4U)5
zSrRn7%BG=M?4e#}+EdHVciagN9UzY`U$IrzeaHF_k3RM7=g~;9H5;acplS9DluRYt
zjHbe6b0jAxr=q3$)g^hx+?Ps$sG%v{cWuoMi_|3lHl{%?qo$5xmha!Q9(lLEDROL0
z-7lA^B=tOd_ALFG@wm9liG4zO5l5G!$^|uqgv;3C+HOW!@;to!Zy)R@jaAXO@ZOuY
zk5o4LHuHl@HV%Q*!X^X$bO!@19+?kmhUyyc;8*htS_CUpuP#vs|09x}2DXoy4FPG!
zydU})3uOCPTPvUjfpr{CED(5$kB+5NU9=_XTutUs?1tC>*;WMJr`(;K$DVV!y1Kz^
zsR>ee#WX!Sv#kX17uRTu+av#kz@P6}8liAVUI0mu;+ba_*B=dXbncxi7PAY}R@(do
zcZTa{v5x&)xM!hAF_rT}MBl8!LyQ%_e!ku*Ebw?{$UrIZjb&(1A}aLtzi*PFj{hjd
zDzMPlAy4Rgg&YGZvaLjC_}M~n3TEn=ym{r#f16VQvG#?$5G%#oHr>@N3H-sY@QU}f
zvzLQsTKpgE8UB0QhS^gh1STd-J>L&qgyco+&jsvj*L9^TJr4dq24bIzl++?9hBuSp
zS14X7AaQf%Xri=OOmM#be~h8_s!_OAfvol`i8A~_4r3+HOp`LIf9*704U(o;$DvTj
zlO0kn-_LXH)xY8$Qih;uVi;_K%z;$tzYX60Dh#qD9dh?y3QnS9f$SVobpQKaH=y_p
zN^jWz6;j9D@t{T><X0H~rS$(T{y(++&szTHME_kV|1Y-uFXa9&S^O`D{;P!gUup5b
zitB%c=>NY<=y@elRYE*`J$4mcUERlzb5?_bf>hY2nrJ=p<iwMCD2Sh$na#}1EDY(s
z%0~TZDU|Suk%{c!lddHA{*4<O8w(3ouKeF73%YnNEX0drQIak$E~=`p$2u-w3Mc1i
zllg^mk<pDOy9RsO2Ot*-sE<~LtD@!v3(s6Pxbi}{&^6WZcLednKYRO3f|0#lFieJk
zZ&z1K3)7`jS<i)c<wbQyMn=J338zb1NTt-~dVS5hzUUHjvn1O?nLcyUxB7NXF?+VG
zMEb!?ZZ0N@6M9D?d<y&55WM0Sg#KA9omt4FJ=2v6#Y}A)3RHtT(>-|7chLXj++6EV
zlff(-%;wf}5@W)3GK=-@ti8FfPIIm%H;@l#Y2pS9!XTk*^^j!;>LJR%6Rl?Q4GO&h
zv3nQH3v>gshQ@7p+jN;^1x!3TqPFrUpbLnLdk){qTiv&wxk<=9q$%LM#>ZcTYPToD
z!;gG`gxq`lFw!R@2+78(o}O+ue|_BU63L(+1ZqI#_9JSRMmM)N^HU~WIQpYzo8V${
zFDpSE8zJ19hFqCZv{!RE;|?(k1v#ETV`wmk^HmBSyt;LE15I@VD_+C3oQPo1HI`jT
zsWPNGQeqZww(Tman-2}>l{{kak#5>41?VNqO#)(Ml%w{%MmOnN{TMzu*Ek8`tP3$q
z1OwD;dh^pH&(6o{C;Z(X8#dwSRQK_zi%<_B92W@%q=HpS{C9s1`wku4md993mj(-H
z!_Vb2FTc!mAAc{>N<hpqeiL+(%IE1`J@{n;dbf;rV${yGCFH))y*$ddOi*yEV7L#v
zyynDk4GE(Ji{I!n>ZbW+3MuLYt?6h3uabx)qVgx>O4p}mz*8IILC5#7Y9ha6h!BRF
zVV}X|a_DMo47xs=G#D_548BA<ft%05-$?(uH-&{_gLJsZ7{WSm*h8s<E6)<Y!H$u6
zFc4+~EZSsJmg|p=56Z|Bn{o6yUCtWFI-6uIdj25<FBm#c_D%I1*gV~o`ugLe-7$==
zFPl=rMPmFX-2-)=yWG0vw<IKdzrR<#lM^BT4<u>sIRwvMW~-9cZ|XvSz4yU##aQ97
zD0VJgNJz-m#b$qFTDQUuMQ3ecF*j7Pdglv+iK*Ri<vNe=z5?3k==g9};=hrpxm!R3
z?UA$f#Lwayz<PXw@$vDxdV0fV*IbqdGdJQsEf1pd>edp3oJKtsxje(<PG)_NXDb~h
zAL*2~$UlAhl#k~j*-!Pg6IfYU^%WTwp;fA#7qifj35K$AK>sX{fQ6n5kiw5N9PiaK
z^j^rx&U*CDal2QmVqnNT+1sTr|M87vuZ?IegMr$$z4giPdlSUdi2mXq{^a7a%F4{b
z&)#d^x_FL55n|&PaSA0^1jF3j_o<XcOMFj!^cOex&01rPPinFlX&gzQ#2Fuek~qS}
zy=79;p;0%KllUwnt=!idiMEe2dAxH{QW|nKUZh2{LCRsWr!7dC6iinmc1{apRTR3v
zIZFkp@PDm90c#*GKFjAzNdW`P=q%J4H9~tG2Q9M)7Oz6ets}rb;!{{8HzbL@5>e1)
z7K=B@l*6soMM?pY;e6<hPeDw#x7JL)onUWiIo~D2Y%3uHvB9vM!Z4lUek&t2Lp;wu
z_yyL9S^_OKaKrxduge!=#XQTo4_dV9DP2mE2Gz(EQku2zom$^>d6*}s&ix{R_<Qpi
zQEAl)O~BHS`bcx+@@1SWTH$d$(5-%!!%Z*ZV$=W00~P6*PgK#=?)dx^{6SLT*&cWe
zn8w%+mgVH;=DMzqE<u;^Ujdk>GZH9G;qKJ6h$-l|w_G**Gw}sVa1D*vvQfgNU1lBn
zG>nqA=~cGS(9nnBOm%MS6X>I5ga=XN&TLueJ4j{Q<@^oSpO*TZJp~=xsz7u#={gRS
zvIkGLG#na9%o>d}v)i^Dy&m|XjaT<;mxO$wEp|?B+;z-bi~hcDpduu{#)7MC;wfkH
zfAD2hl3RxLhf&JnUA+8ao;wM*jU`zqo-a6(;;_ZHAQV5i5B1Zy5G(9#wK<l)I$C#t
zJ~==?NQpUPZe|wrcx$ff+O01>u~AV@qwceogxZLUc1)1GjK3Bvd$I<2uKYyAkWzj$
zobcMMZiTGk?m?G3OPOcL7E><*qh<kqe|(W8LI;}cgPo7#x5jSG^P06@^z0BsjM|We
zi>%xuDBDqI_TGA3n46O$G!tvGw7*jZzrSb?+y<W2r?EK3KBK}<0nxqtQ#WapdrPGq
zOViG>5E~-g{Z&aAJi2*uzp=lBK$&RVPL6iLYF)qxMG$DxMN0ktmh1X8F3a7S3Z|yh
z?TI3acS?ERy0f}{jl4b+EnD!t;U=&hV2M{r@%`_6`snK?9!1~~aEfTKof>-74<UYk
zL*tfuXA*?X#bQtvT~`^CJQi}!5S~*pI&36jmadP~`?-P+%|$+oh@;wLof76qoN=d7
z8j(EvxrDu+kkbr%9~UQQPtlZuf&u`YH6<65!G;C)UB7-^_~5&`vZVvcJA7^}^xmms
zz*r(1-m9i>iNJ0D%3Sq1!X`Sl+<Yzn8kbJ)QL;c>K1yE!?jy${CZ>NNv1kKEW0^4q
zR+7VDAW~9Yt&>`mbe`$%)4zE;MAKugaA_ACb!W(N_5Mm1TqKWduw~EQdI8xRs(>Ll
zamrss!tjB4=ZmG$5L%nh4-e}_cbYU5)oz4R_GBw-)z1W=&h#w}l=740H|@lnlX)L@
z>p!|9SsFtdDi1t0H<uBXV*=V6*FZx0bEv05@Jd4-bKSM+zrCnoYr9-fF`7F+HZk$U
zI(qQsCEii5%{Ik&ft!TlCx@E_O{_o7-$ET$bj59@YPKv=_QlIBh2GK*@ft99vo&~t
zgH2h|z|Kh1-n}5}=%<+nAMrgo+EKDf=5X5Ulp+tTBhn6BzOE~W!C=NbSL^b$iu(9g
z$$j^vxIzU2`5$<Fy&f|R{G~(uAb+%h&$Q(YoZ|;IkQn%bi{I|3r*c=3qhzWIh>orA
zc+s1QtNmwBBUQp#3W!KW8Y}ecwPMsfRf&XZ-IcEf&4v0kb~Vf8!2a1c|2oTEtbCSJ
zrnGU8SVzQU#2KSMRBkJ>JM1(-@vTtibdr#A9q%aGR03uCjrQOQE^M)IfCTcslKmxe
zmViw;X}CbQ;(hfU>%LnB26mf~A}f_rT}4fUXL)K>lurbBPMA;DnL~Z(xb^n7dX&R2
z-kF$754ST2V)(fcP57+`1o@9j#{!&Xp+Hy9<w54);3mBWfaE&GJ4=C~wl0<(Nn#3b
zZ*_H>ddd}8!NvCX_u(_)zK4@T2(*6cYRMNSYtun0oyP?i_tw8KgCU?qSCM|u=}-v9
z3H3N1IqH`o#`fr)!{ld_TC6(I9GLrwiz%jl;kX+oK3JqVv^cNZu{xjrj=_7;<NB7W
zWT0Z&w!F{_2-Jbn{w@`Lwr;i!%J{W!i*Tm{5W69y0bzEc^U23yK~afRgeN`QrtC_f
zJGp%s`m?hSUGz)!gLJDifgm<>;BiW8N;2!ypCgR!tPmee%}PzZKjy5+tk`_}3<C`h
zxaL=ZLCKXu_f0wW_LVNzX&+*ih?me;RJC3|&Fl9?6tW&b_ZiGjgntJ2-|&7XI}FmA
zeCDT4e|^aB4FwBCDa1G{>eN{N{K9WIy!2<y(|58YVBt3x&4fdKuX#G6!!3(5;a_5c
zcmH238$pKm(}GWh3c1i<<BHJN*Ecma)zs|mOqFu(0rnX%B0RGX#^Cew^Vk&-4(;sh
z`j<gc^m_xMiBiswtWsiDe;Dvl!xJpV?+lU8B>mX){$$f{Z^b})Bylva?71~}p#<{o
z=S}ETI%}L4;SbP#1-r{b=9$YOv9pU=SoSISUcqf`U;lmt&fwK>2ACNX-+p!6-4A5G
zctri<9)e`w<NbH$Ntf2?_Ic{Ix<Rqyv;M+x*uMGv(ZTMnSMoegYZ25?5!V$B>bQZe
zuPrUzCvkS$D<dLLPM*Y$*{`Lu49{-Pvr`aD*WLsIMQnlbiJZj8XB2*wXXnPKoMu`{
zYTCZuNKQyjW`3K~{GK#e-#}e`b7<_?r7ezMr`e@PQSiY_ALp+iGBl5!9Pfrk_zrAc
zx@`p07GpRal(VYA9E$9;R8&%m)yG0=QB^T3dEwom)zO_}(lxHD@M^6hgAl|ySD?Ul
z8WzZkp6^N+>@M-rAZih~4f*0%P~u%BY*3{s$6O)}T&dkudVtP_cOf{{Ye1=qG4wrJ
z_1P6sq#kn_vIWk^9Bon*`qRmp@TqO>20lDEneX!r6}gT@?S2nvjKeDgKSf1aLpoUf
z+#`-|@X(LILx1Iq+amC5zrcR$R_$Eci`F`tvHHV}Zv|!7a+`KM%-R$7M?F_>&bDwC
z*<8o+$IK-^#u#`m19vw$%3C}>Sj8k1*Wnfe=1D@;*<v0Thh<#~vmKQ+E`~aasi&Jq
zx-(TOa+9(|JjJP4Amtg6pAtnUVk=uY+0IT6WE~F(gQjsF@4@cs$*jalPV-ImtVgl8
z8(R?9yHM5`@Q^jGAQFP$BIdmC-6UMBJh~}C66XNVgOOR<sO>k<cBSNl^NWdWKB&wz
z@kh|$ulCPj-DlUBe!3=5s)ZrvQLe#BK=t0li^N@-u8r|Ve@!1y^|lv*fDD9(<>ONy
z<#N!82dAM`S|`kx&obt<s{sapn<Vm*k@7jJSJEtIP(!cvz~c{?zPJYu9_SR-dhKs8
zinyG+%xCd;#1$?vqRe0fD#C4hp%(=0#i5EKQc&E9nVolpcQpl`)wBn-(BN^)01c6R
zqT57>)qXIu&-?bbZ{A2dbNviFfUQuD?iO(q(I$_<l~*N{<7k<Z$P6a@+AC{7<5G<o
zGpZ=OnHN0u7W_J0MFL@$L17+kLK)|J^v&@2!?Src&w3ZP`lS!wwm2SmnjLnN*3wku
z9e<6wA>$b%7sV#F({Ivfq|!m2?C|+gmw^(fkU{(iBW8#6>E&&IP7l+d*|hHEI1=u+
zwJtRoRpbD+c^mI7EZ7eyRGwILe<~`}ho8g?^bb~H8YjYCQYz^EHUuBN%_>^p>*0Qf
zZ{ZxE#VmduD)L^ozV`5?ieHt}?C}qB-{P2;);c_VcekzMga_$!!aXi(YuyYD+tFz`
zol!qifuTA05ljn4V(XQ9zPpwp7Q8Zy;n*Bdy$;`OI9Dw4B@liEG>f(ecWejwY_s$K
zhP!rizTj)it5|A}7hD~7>Oid=E#wt(*lD~=K3Xz2`4Yyz-yypBGV65=mu@*ImOn1t
zLYa3kIaxm_g%2g%c-FhKJcK%*v#G#-8e=J_@HPW%4~`cZqX^3kLiR^2HhYx|3_m@_
zr&ue4@HQkdiC+$fi4c_Wzo9wGB`u&@>B$bKT&>*<(@bYN;<wJA!GbMm_c>ZL<l*Lq
zr)`fU6?h0I-9GVY0YB~Sb~3gz%m(-k%PEtTzXCYRSJ13R*}&$>pkerB9R00FI+<;H
zh2A93+}*1}L~kf1SkS0TT7Tv<$^ZEI75(!5x<Y(~%tHNgO<+~$lJsEx<x0}u*?>g|
zx0ngTJOPxE26(duO(-Qwc<{Ta7~hcB=F_Nj@96C<4H?AJxQCMnO40MN5Id8B^eP3M
zb|@jB#vW9^r%p_qkp!xvg;zpi4_P9Sv=`%TY`sh=&9GYYGet6Yg-B%-Z7${1YtOvX
z&o5&g^0;^}cMvs(YLPiO&UkNk-}u*~LGYA`DIlItVl7yq4s`t$h~$;j-X>5g%$W6k
zED|zB_=UVem6$)t(gY<ep#=}8CvQRqO{R60&UMe7rTGj|)6*pPguOFQiwCoU%(PoT
z)CJUa^91E;1Oh6~1rRZxGhwbqh(bZXt!Z9X6TNL?AI>E9Xt(vIr<S4;pbdG8CyPla
z&4beSovZAEetp-dWR2$HdF5)W*4R5;1`0pTpN!OETTw|#iHI{~Y#JMHH{Rg4o|hbV
z0oD)*0v0y|bzA^!n4sw`xAnkg+JhI*v<_al@Yh(IDb98zBM=c2a_W1rCSfJB@ntj;
zA_LD_jE#>b=L4veRE`knqjFkFL9`{O5Tb7TZM#+5j;ah}ulyaQE4XC-QOXFkd4p<q
znE1bBD2<+BpnAx0zd;w=bo4Th&I^EKhy#ZMQKEmzRZ~mLwL@$-R>l{-5na@eux}Td
zowJ{Ai9P{<f?_>))nZ}I)@P$ng&xe2b;WWZp<)g{__ikqv1w}>FFH&VZ?vEF-T!9T
zhw_N-I#@+B!{s=Gbq;Ioe@N2YTQ2JvtP6R@x$SgnO)1WJ01x@PDy3V*>SK-?nH)q}
zPijf<Uqd3#5_IeLv&98~SWgiv<dpS9BQQm$1CW&JR@iOSTwC7UMAYwR!7p$^lK8FP
z_K7a`%4Ds%&nB7|ye_YRJ7m$)FM2mQ&9-Y6=eA`E0#APO@i{%Bw#%S3Bau#g<L_%S
zVGR2q`$?=doUzJiHV;49sX*tTbdYp+;D}Ks$3KNnq%QK(_!N_&M=<OuUfuTY8+D~F
zLe<5-0`=#yiHY8yFPZCkE~AVyX;L`s6YrQjG%!eVF)~0|MU!%_9Cd~JJY@@RZi#Qs
zE3B4(UD`b;rhr$vqNb{vx=KcS+(_<|Vz1Lyd2)P^cq;(@vEFU{$p~mpd2H)nJAeEf
z@uwz>7>2e&ZtU)Li{M{9YoVO8>b>e2dJY2+nDe(mK0}Cw(YyF<@YrB2(%im;F%E|3
zw(XMSY~&TyV<Q!~2a1iQJUptQGw^bVvw?OrJK^yNNOvnWtKxg({xOC=?wq>zmZUn?
zwY@Q*gYn#$`f8jw@rTpL!Vh3Sb*JHZe&{Qx$8OPET9LBOAZ;_{Tfx&PdH4Qe;}R}W
ztMBZe8bH6Yd)jw-eWKBle(8tO>PvJT%@HzJl*W}(WJ9n!za7^v129aKuvfDDad1JF
z6Dn!He8{e6vq2}EaeetRv)7tm+Sq(gw)KMWlYj(`tIq(SN?~7u96ghN0<S6e^XSgb
zBv2`|<vlM2@goCJj4MUNH&A?cK|xGD>Miogr0KelZisqFenmNs&+>3@J;d(P?kRop
zo*qoOt#Y64wTJANABCa8t}m{E=vxe$%V47LtZSWQc$?%G1W%kk%4ILDa@rXfkTX#o
z37B6Y0usp9;v|S!Mtz`?o``>nPIo6S-f1c}2aUAf6fJn7mGw+l;()Ujlbp87(}TV*
z0t91BP9K`*Z0v4B%?=ME==`dsg2}c&+_9B`_|1WEn!cIF2Q{E$=LU>RItz(^)X2+J
z<6;fVPLmwJ_4YFmhXdHt)26|K`ybch>Wc%g+R*H0&7U#$6!XIUVxk(qWE6h>V%u+2
zwf1U*C$jFYS{aq!cM#;15=*kOe|-ohN#I6qFA2z~poOO}A}Kq=8p<+$8LtS9#_&fd
z(L*cMZ?@oK%WM2Crg4Dg%bM%GHXl8+6q?mZ3{><6ME10dDspHE1u;If<b9BE0x4ug
zBh(QmAuC=TQDtr}NB1SIsd=#mYfPc@19b}k1F_;taMkW%B0p{16ybB)<pp~V$gf+S
z%4PsMo1G^1u7~(!q*F69Opi9uAruhN3oXNEeyZiaZ{8X36pR&aS*3-Q6G*q6vmbi&
z=66R^dktV!i6v>7#C#;wG&H79pCT_Hz_dVk)HT)Tx3c}DfnnWHi}$=jaRv`PHioj+
zn(;G%4LH(F(0q8W%iVMdcd1`F!4{K|;K^N85ylOX>2jIZl*FttkX1aT!u1TnoGU2}
z`CtZ7US9s;gW8zK3n_ML`B#NsN@6@FUmsu3;P3EQiHYuT2*|Pm;$O!bJ(D1xu4s5+
zEeIH-;O7wd)lNOw{mTwIPP9J*)9|&FT?k+`R=H62*Am6b8SNhWrCujyg&_%iNMJLx
zzqgTt6x5~~49?h>$Qt0nBVyuZV2<!7xPhkrAxHyv{>r%gUw;e1a|Iwmji;9d<G;-7
zB`_}&d^!GKw}3!{&rVHEu}ksXx+gkBBa@|>6<BCN@e1f90AQ-mBx9=pO#9OeBRrrU
z+0_$|>YlbI>UV%nDQ|UnKtKm%SqISAg;Cw={Z0JM;Z9jo<GD15_C=pHF{+a<R!$br
z5trOz_WMo+psLfV;a6))d0hn%rvX3N`(Wq#LQvR>x~8Tk7$qeowJRVQ-BpSGSaE%0
zT4M(1FR78=@E--_Ak~>;_!RR#eEar|CaNY|j{9}$CE|>~fbDX;yzBjY1RyK}%S+j2
zwU?6ehbnmsXJ06<;g}n#a>~B@or4Kd-WVaxqKWTDcu(_ToX_tENW9vasX#ZPWt<IX
z<WvQ{ncKbB$^^O<Jx^>hdkOjF@a(fK?A7rp=Jar={Pyh1FVSF;XDw*T(iH3LW$)NK
zIFxwgN%z;h)_~Qhed0lzcO>N+a&-whq2-Q=!d9+y<^o~!L=%3?O7T1p*+;Ld5Eid|
z!XeuCSS*g-B`<c0b47C+3sC5a`ewVvD*!gfIjH=3!NlLuK-e(F5bbk;{=%wP+Sv1@
zr&lA?pf-O+t2HZ{|G_G7mi`^IkV+#Z*|Wa{J}u{9@+8Ih!l&&suHwM$cjC=r(3VtJ
zSGTmt*M(Wkb*5Uigwk*}U8dgjD)3TLR>o8a_?9P0k=5J;#M6kYzz%QT?R@r|+c@_K
zkDv}$a&1}jr)6TGUqlTBdu6UvG$8^T&k&K74Z;9!q^1Z$M(@Lf<3EaLNzr1sN!qLX
z{InUbuncf93+s=&II}o{o;hvCZ;p7;FFdz>Zk%P8TY~{CeGG=kzwu(<Bh5ta@!bQ|
zN0@Ies-9)tw@kS1Ajul|;B3%K!qfHv_gn^)D#Lj*fSt@P(CIo6UwE*Pe!#H+m-L$h
z3XWds&C_~vIbCQOKnN=AZ(@fWV(`z-310RnLWy6VK0G{B+LuZi=k~<9;Qy@je^tYk
zI<T&pw_Li^G;^=&6PYf?-qwyP>Fw=}3(*{+T$3&S%eJ82Wt*j|@*>HcD+AUv_}GGm
zj_%8Q`P`5?NDb`E=$p%bHtHo3F3!o+`9+L{)So6IPtJo)XtY4>p7a(y;%P;1(FMf3
zkV^$WKmU*vBq456sptYRUFYhpZITY>qY|0;We=^(IGpL@LzsF#DIvAJ3l<R0efie&
zu6OFh7tjVJhW<#+ibJsp1ktEPYvJ>)T=p(16X+e3gCtm8Q}P9?6@Q7?dFCb*!#EUg
zrCgK$j_)*cTH^8U=X~n0Q&)LpM=N1%IJbvV>_Qy}g&H1xU(&&Q<*DaeF)<kCnPv=>
zbCK<G2&@+W(VWFeU*hmd1<EqDZh(!Ehi&21Xf0xp1IP08Q{{_R9flcV$zo$f!kq?q
z57Bjw4ruNNC!W-<T6Rbz9sUwthGmffS!zJNb4!MPKRHUV;KOAEqRO)N?9ijAQ<J8?
z&D+pNAFdae0-sk@aL|um&b^VWADB$~%6Lm(q@@*7<6>cP5xP!u+c;w-HK2SI6U6~|
z^7wDp>s*7a1z+)<7vQRJ&2H{hKSj4dLEU<;c)(Lgfd6wLElS?kKbH1$VPCUV_n3Mx
zqf>-D^ku!ZO#CGy4B7efQY<S_wwK>4LOh)%>b{P6)wp0WDX{|a5N#o=0&y_BZF=*A
z{xoL$^%0cY4rM_><zQQP5x6DGI}nVcEcxcoLRHW9n;7Za1imgj&!*_#s}Xe@ZJ;@9
zM;79feoWN>rm8=^62^gZ)98os^;aq6V5#Zv@RGp%Dda{pRZhx_jYnsDbx;FV=of=B
z>VI;C-c67vTZ~gxiCI+|@T0Ik%P7n<U8mTFgNjXfR-#pD@39N~qv`1_9H{1i{i~{~
z4(Db+0T~4hsouh56h9LXvqr(RE9qV4Hj;u+0!y9Kud?02Ctw`J&*r-WgVoiHQ|7Nh
znJA42`=$IJsQ<QP9uk{@51F;K!zix4hn)ZuEVO09m3wZ)07oU)T=*0CWQS^8i>UQ#
zNULSSnH;>yZ~H<4VjBnrn`f_LLHR2OAwi2Zal|xU>58NW_s5}eUGWYCzyBGz3o`jQ
zfP<>5m_d;baQWS`$XfSnpsL-R&raqDLimIN2-^aT;wxzwe)d;CmD_0v^%!UbV*~7u
zVCEoHN@3xOvM;s=%wxY99!}61XFu`MHjIa>Uz!xoA@ftB8NW2HG(8JO)4u{HvGg?+
zeSPmC+lm6cDmA+Em+n5DX?-`dV02qsTifk${ma1-W8%bycgfYGPa@unZ}(lifAr|m
z-gS};9PyW7qC4!y_{;d-jQgxci-!T#VU3-v1;wui0|R;w^5Qhq)SSXqPgQmGsOV^#
z^{_=u5&B@IrXYF<zGY3*-qFD<=27O{9~N+uXwJ)2*G@;OgTY$mc@1F>DvF9aTCPLN
zwPoFK6O;5aGJlBV6*vgY<z?q&xWqAbvB=up>E!rmIYvuE1Bc`Qh_ma_>e`QHWr?F_
z)>#!`3=WV!&3;kK?hLYrXiE`6)5DIUCBQZ~f4+yijJf*C^3YzD?<db!yuBiVmT}d`
zhxdv|T&0pNrM>`z7n%9e`$uV9#1^}3Vg(C>7#2`V!p{vzk_%ta)pc41GjR<1cpKq+
zpu4yO8sr@*a<Pny+Eldw^pjIomH-G<X=$mVpXW-IOjl6?5Bkt?F>>cRG`YTD-(YbN
zYe`2KF4U-1CG#S!=kQo%wXyGJ3@h~PNwoOl{hrvMR4To0j<_FYU~DKDPG<Z2P?qQ|
zP*o4zag*3<B&UY>ZhXBVIOeqpkZr~DN7(JneXkoyZWEvA3=eC@jtcYhZF+Mx0m546
zgSH2q6PI44%9V96I4@YMWOOYvoEZAPXHl|`U&Ey8+sM=7RquZZ9Pjzc0)r%+OP6K-
z<D+Rbw^#An|Ni^=PE+MuEl(e8PxA594T*v8TX%N59WBJL)>&SN>iMj(!x_PEF+3RR
z^{^~uIk}J)YpMK;eEF%PxvbAVc0TVa`s?XQB!-NJbLm3DGbNqkM)cZ#gC`G`!zI&n
znjrjM^)da)ySEN&ax){kP=v(t*jf%^(%iDq=>05myps3w=cJ^!T2Fh^rN?`TG?Y!0
z?2MbgpFL!*rPRh&BbK|%s^dCePcC*;3x7}Fg6+3>`|Y2^(~@E_+(HpiZ)b*3LTfE!
zWDJCNFDuow3O|72DF91LV*w13|7>`KBvi*He^jS5e`Vg?&TeHFeR3pmvflybrX$71
z{+6+*@y8)ON+OC>=w$Dmcb4e1F|tD5-DvLw@maKHJmp(|-;s@%M7~eSq^^4}bnJ)7
z9SC^Etq&&`JW0(Tj+?BHTVGQ?!(98s6x(;J@TBk6Oy@~s>r3?5d*|<c17(TyXTFWe
z`yTV4FrpV1B!*j*PcX~%LBdXRoVszxJ3W0j^(PDkie|KmGMwjgADzU7-%YBU?i|Q^
z<NJm1q%kO`5x>D$oZ&KV*3A0H?^(vV{a#;_S@>$O>|sjKfI^{O(DC$Hnb*-)e)zCH
zQae)PDsiw>x;>gs#N@`p!?PO7S!m(P>=l>lz51#6oA-3^UH`h^490WF<`=yhW`{?F
zo?Cg))I#s=)?&(I<*~1|t3<{zu~K8BjPEM+v^^)$d{>5R8^Fn|9!tYdD-E?bF4wy#
zZZ@?!{q=gm#^7ZFH8rU58t-R+`{QSJbe*Ebz0#lRbf5)^g^!fL0NxxBF<hFv+qD5U
zsbpqmCIdBEe8_cOk`zhqBk3L7m+T%5zkh(<8=fMd75816@;f>2yo!k>CG1JY);V*$
zi5j!-{$v^L2}Ot+Gu_(hT~a<l*DTi4i^o`VlaL9+sj7}MoxD**23gZ%d+t4?^JOXy
zMOdo(oF{&!h`k*f!D%V|YW|m^^DvLUwWG%A0fG!2zfD2*J9*$gxdxokWHR<`Rt!B2
zHT9dfZ^Nvy0d-e$CS6IG_)AveF*!*MGNp%k;<st6`YMbaO(JrXJIhssGG;x)?+Ke=
zvdaANif{JZUYIId66K9zSQy<SyK!QEHlO8ju=7|Q|2^!R&rOfr=Zi+iVpT4+i7xgL
zT%YO0+Fjg@uKtElIGbTU?EYYUQjlzlSx;u<Vt`>cwT{G*j5XbyQPF*(y9GM3ES-Qd
zQ+bKx(jQfqP=Jn~QS}gvO>xMdRV+Zb28gknS>bg$b@<xBgJe224>?nV{lL6i-V;w|
zewh1wwvX0zZxI0<Jp1=DzESfTLE}hOXRVQ_<L;3x`}ew&=ZX=V9E*c0b}{3BTh0{!
zP~gpn^wZg_+3M3<F+r3Q3g@(@$pQY_`vB@k2Jlo@NVviuJ?hW`iMWQ!93EOH;Wj%E
zm6b3Wnn8rrtzx4logXlwnd?fI;ruk=ntQy&oV|bMe7bVi#M6-n>MdCKQ|pmC8pFB-
zt;Um7P37T;gP_g`hw_)rQFyMlJ>G7U_cj0yT)g}FCGGDLI|-+OW%{fb1CRMt-;<gr
zgZcTlHiwH0PCNk|3D^(IhoWFk?}-BSF^B-G+e}7vOmh2RTD4OeB1c3Nex8X}ZkIHg
z48bl|mRDNjxSC3+T_mmcR;=J&mDx$^lMIUIrJw^!@XKNP-3~WIL%F@ki{mo55@*{J
zIg2+tB+#|BULXa_Gdp~|fUW-#L=P|2%kd&;e*0daQEhPbl)nKt`-{p99D`Jp(m!Bm
z88)<27%~XSD6X3K`ypj6cZEXP@AJsl{eL)ngcZodYlEoZzPaku1CJEf`R+{d<kgLD
zJQXrkS+?d$?pc%`f|0bcHK{1u@<yfstc#7TNTq(M@3x<J`J?j}4E?{GO%svglikYe
zOGRMJvb9vX191SI+uFSFuSkhR#^aaG?B@d9aVE}MNo2WfW?A@00M*un;q)R+W9Vo+
zovfY`dq&8RR7FqfzR;WASW+f;y}w;qhSvfmFLjJY_NgS7qlX7M6-*@`)NK`}Hy6E_
z_}izz_e)U2F#15iht_TO-PRX`e4d%9Gj(K+`kU*WIlO&a)PEGZ3<Z-Ji_DNQY+r>q
zn9P3o@Bx6#dtmnF&Ut;(wdG{x>^t(Kegofee=X>k=K~>riKFDs*IyoIONtQ@-cTaH
zbr|!N<d$3e$?-|1<<M-3dpyF#Wkl#zjrrpk>3HI|VP%Gq>r+Jq%_^$lL8XP|WO6J<
z__261%Fy3xfaw8*%BU{-2DfImRi;PZE{L7%H*db<%W>$riSfQ{9z=fd-TO$UG3iXf
zEko}DF|6%HA+CE4LC)ojA)UzA=dUS;x*21ag1eV$>>u2cHd_FdRrY9X&re7XSL0p*
z`)QwTBcBk_?mVa%Cc5!As2W|t5YFS<_b^5g0o%chthtgO{etYgf{uyrxDb4ay-Sgi
zqbQ6-kNxoD)U8LJwyCX4)rb*o*X<)KZ0cd_60zmM^3uHjgT=ziI^&6##ea*uiN@UC
z7qumGDW*Po(SQf)>P;EE-@0buhSn0@<IY$7u>y)Pam1)--f?%g8t2Gs=_3Nc`Rwh>
zf0-y1)ccw)nv#jctEXJ#FDU$s-tZpV*-lO1PQ4b^y)ah>b7NK8#C+De6zsi_ZJ3^1
z+}cc5y1Bqz!@sO6xTnRvu{=QA!b7q>$GjlK&XqR}J1SljlI8MSlW@uD_4EL=iT?yK
z3PFHj4d2({a$W%^v+v)(zv-bQx-Kn7!a$6FmzVcoYu*VvpDoBUS(xxLf4umsgN>R`
z$<@t!eagLG!C}ONTi4_y{!!dqu>awSY>qqG&QjLS5@O)D`p#7`Ou0@C#_64*kZ%*Z
zjer;P46PLS>$?Dc#Zp)|Y2}(&gPgVE7Yh4VAj((={T1{NSHxA`AJqYZkW~Hslpq#y
z7dkyXeX~bPIP~;kkXpd6>VzH3PCKv$F({&TJ;<fTS=rNq1j>D((-R2@TMLn&1NhU+
z%i%(`nKxes0`j8)SaLo%mh2Ri_^37BOin*G^g7Yj)7#VwA-hcM_7DcjwKm(GC)%!j
z=&Y=V=N)V}hyA2EDP$!<4r67|s0Nb{0E*nkdw`~)p&_YZ6qE!58}Ri5V4yz=pr^C(
ziP6!SZ~$6X7TfZX{DWzXL&anr@u-dn{To?VZ;VK#oPm1uM$po)f<f^a=a18B1%nrF
z8zE=jPpXMTUqvEyaloMP-LkVdV`><IN~2epn001J@!E>w%#nF<;)NFKI&o0PI>=3G
zQd2Xt>I^wP0Jc)HfsMLtW%pB1QSh;^yl=Ny+o2wR!|xQ&`0<l01-TnNn9zwV*oieq
zP7ZtK0s=OMB%`MA0Uz;C!v!GYQ8fS=6BqGY@0tWAiYF_-;vM3-;j^Rpqaw{Pu-?i)
zZfbBjM_<r~kJxXD5>zEPJoR*Y9cWpwuXu0w-bh70CN7{On^!k9L<20jctGn@T4*rM
zmH7VttIv(=%WJ#C^g?}l2{pgXbkN=<`4?nVW{8}tIC9Z@w*h6F(YOs*7^}Mn{Fkg>
zv$OXOY-~7keqntQUlgCKBRO{aDcJ>Cey~3p^bXilWA9YLOB-`(a<~LQPzxwLxq0()
zICgsxBgz}JA5ee6{i`%fFMdBh=Wl?jOa|Od%t{ZC$M4W|vhItl)|OiJa%{4eMpbJ%
zf|@EiI@&l8MNzkZ@D4XkcHf*Sj%2tB7!6?hGl1-7#G$l){XlJ>Pw^fW55K^(bmE6=
z%{rHk8_tm9L-B6Vyorw12Sf%i;yV1q<6|7HMeY5C(RFKiXctGO@WA@nr=+D#^ywlr
z-{Yn<34kLAH{NB9<B6;oWTO(Bv1N>erO<%qgxlW(*euXC>~a^6FEOx=>rn8W5Sj|W
znLm=Pq>8yLX%|S26&p979F3i{#olS&S{X1;*4)Z_@3!zghkG8O&0AQ#z+sz4`___-
zr+#muv|U&MP3N}RCKyk*_gS$1jyLw%w6)Ix;J?@yG`P1{%_a?@eSK%AZ_WcpFrp(P
zRXinN*uQ{u73n_w%Z2qtL!_cYOI{0RnOnEQQ@;tT5v#BLMm;0B%llyrExByJw}{&{
zMK?nK`+1a~eApoHy<CD;cztxIRQtfdK%X%u2~7={upz3ZX#-!dK@3XG+P?9i^B+%J
z7glBYccG5zQ&lVgvtr=^*p0KKq)XX@iSWamg75j?DiC9Z{G&4}^xj%pTDsZ!0ns^H
z#(=Ka(1MVWL^HBL?1JO-xUWE5dhI(e;x-D8jzpT~$SUy%$O2DBJ-Fl(1Z;I$^D-sz
zDS1*-cK1y?R&z$9_H+RmN%il7HQmOwmlt@4nF$eqQd43fod+mLLQm=?2LPq+_QXw2
zC&2bVV|$CJV;0gM1%~0cK+*jGASWq5*~*rfUweKntP<2H`FVpe{eaQ~Myn@aH|962
zi|TgvCc_biV#Zn{&w3PR+Pc|J03S2~)RlFu(=mp}(>%TdQx^5RfKL_U3@=#(^lVG4
zooRWJ+wuM^KW(o4+IS;}+}4nA%#C)+|IFHPW|2ma7V4uoNuAGD9X(8r7f#%&D~33Z
zbGNg|zxu;m!pFrP)7TTttc_g^g7YK%`FDo^XK=>6*^y5xf8Y3qLn5uvqLy>66TpVE
zD7gaQ8Nwc07S=H~ZLb$z4;Jf6JHOu*k~rGx0j86-*;bvFi*9S0iPma+VYzTH6{T#K
zG$!9(>%K`10rbKrfHYb_J^3aWKm=lZ+I%#)5W{jGy8PUS>ib<ge<Trs!QPa+VqJCi
z4;p@&EHUnIzw3bX{0vOH%j7U#v>GuM1{&Y|L3}MJldJ@7x@5>5lh1RW!<7zk2fcAm
z72h70&ZnDO0M>x}<SRj?B+>o4-BI;-F21xp2KhS{xsUl70H4>4uyO>&kG_3Ne5}k;
zee>=VE=S?nbKd(&C6avrLI!Rk!yt%P;N=3qZRcm(?Y&m<2N+4+^I-yae2)(S1uiy^
zn#B5MQTG=Hr<Y$<EAto*p3MzcIc>9l!PM`dED+RigZ0w1v8JY`Rj*l*8wvJJ1ax{7
z@D%@Ga<MHHBJ0j+?CN2X7+2xv<a-Wj{LG{4o~r&sKs6%*SIcl%EG&hW;JJ^8da~z@
zbR?}rO{s1iQ6KMDOv0X&t3c6YLHD)B&~<98IG}{;Y<hvJ`+a+Dt*H7YuqeRJw)xcH
zF{~xzL8$%WZ7?}=Ay-ynt58L^=!057yr`~OG3A=F%k(PCt_S8iSTV2j;c1A=T4*_?
zt-I}!OUgb9yW9YxM%-*v6axU@zTOGj!f`-hEQBD9+<|3~;@dz;MwbU%%w@i2C6?%k
zk>m%qNbG-A9$b3#Q85)q#@2tY7)t}OrZOw#c{AgtXzS6Um6u4zrSm;onR&VvyO8H$
zkFj}fN?LZH%bACxuU8yw2=Hjk*^S{Vq<V@#jhtds(;r5^dDFkT2YkUI+rpD<eu@fY
znEE@JGN&14`2q{pHvBS%r85^cQ24QK@qKSlnVZ_T(vezH9p3i<J42LgFN>vKZ(;U5
zESd4#mR$q!JlzUc0fKhk&K7%b;89+ks|&{2L!vlIt-N9$fMYix<^HUuagcjAgQI`K
zhtfA-Tl9%^nHTKYinFVSA2%v-X2wvu4%RUaYg>n$tOZMyJzn!Y+4WUq7&4PnA5RC3
z;M%ot(I*nmoOI$n2Mk?@SLO``cVCx((gcM^VXa0OE^3eC;iVappQBXV$^zowjS(E4
z#<K@3fFv2)9u)`2c+*FCy)J<7hI-u3WL*CEULygHEsj6-dg%H)V6c(r*+=f5lHZh&
zbArM=^4BO{A(=kB%5uB$#@Y9*$%`}@U)0iL#9Tpcu2qhi*lnB9x8K$L+S?=mLAvzA
zho(WJWjn^V9ao@jpumWak2w9phzJg_!#Q`mx2W(Cq!z*1fNWRSRxVR>ZV#|5a{wNe
zqw@egc(yvTG%=}Yq_&k!8&Kgsfk5aESpEA)$2%zbBAGq}{t^bbF8Dr~8<{{<H8Re`
z(==hB3(~9YHF*%4vPr-9_JZJ?GO4J-BIY#nsP59<hi}~UqHe`GYhfZQ#CiMRtU=Xk
z{Xx^+5%>4YjmL}V<Gk8hy~Z^l$$;9m#l=Nk;mkv_`n8<sIHBqP0{WiEK)MjMPjl$-
z@SogB3HAgmiv@v2&mVzwZ+Q$yYhy=kw)SU}ISti6n!R<y9S?vE*Ltx~SR~E2GqhoS
z7InweDvvvSkDUOI#aQ`18kdj&Z>J>|BR*gl|8!Le(2JV5`OHTSiOcGaGKRn@vSD$-
z!qaC2EQPM3Q<eglBMjnOFZGw$?r5JVo;{1?-*g9Xbv<B{fWCOfv2J<}aP|3lhy;W%
zdQOV*{54fLuiLs^%vJ&5bXW9&zNb21#+pHWOc!3y0G9MXhmPfu<CP_T*}j{Ua<@Q%
z_t9Sgb6SaCC8juf2)mM}>8GM^t0R@jBU03>mLT2m02-PA_@xDNT2aY8S&BVQrF9<L
zq}F2(==7=IrthmMCIp#QPpRZJ0$X|2m5weo@9^0jacx^FbliH9fvX34s^IEh!kK*+
z3o1zOhwstS(dq8PC0E7za-R2~;g=}CasWB<uPLDaBgb5_KbTxyP>KkI@%mvuDCZvU
z?w-#RC$-Z}rX>Y1CH949R(NcJ^9I4C^eh2RB|>NkU8ir6fzST5z@k3d$9wZG4hBVK
zJWfrSXqYjN?m6rl$W(}N5rx1_3em?NPG2I9!+W;6;0A!rQW5Em-P#9m>eIXFr=yQY
zkV8O$?AFs(QLzV@y!C?T<mXo)hYau5?~3I~I#>Cg9QPS-e!L!|*DV^AKz-r);Yl#{
zyy(d3r~=fFVgs4ym9z?Uz>I-=6Op4qm4YTCu$mFAKM7mS=5M>lSecP^x6;&h`7J7r
zlnvtY_r<&?{?%kFJ(<cCwRYQ$Sp8^`7+Zt#3Nu7LhpUsA$Kx&#47%%SlkA&F3Jmv_
z5xzCs&}EUlld^?@$r(&ss|%tu|BHuWBB>oJLbu~6j7dyq9+ZuvfX|Bq#?ePZXnp|0
zJC@1I>ORdgJHo=y$o?|RD2^^;k=zMNSJK;WR~YDUb9!*tga_|agH+JDD}-S&2(|A+
z#kS4Io<(A}u&8a$gS-<vk%hyj?^9D<MkV+Z8HejjjEAtpz6Xlfl&-|F{EMg*){3co
zlXecSOGZVj8I3p4m4|_u@iBwEQFoV5k9KvLVL&>yDIl^dE!H#wL?rki>y{47QN^8G
zyo1enX9(v~hb@Y%N)N#>M%)~@lTO}%yL)hwOzdsrzxpJST?Q?|*NoZ1Co+(<T4*qh
z*oho`lvh^vJxOY?2jrSlb|vmXI+^gEjPJb9?B?HoF`L!P;GtmEr*$GW*&iiEQ-fk3
zoF&J{GEQ^9td2XX&^PA4`D|3V;29;W(q+dFAwF7mhE?7t<pu<Ggw*63unp9Yo(e6S
zv08)^<<^}ibbLqsb)K$bn1!cFaB?g-4ZE{6!23kAjW=9)fqj{=*NY0AnZWre_-?DA
z!$_qLRY?9^#lCniw%LCD6J7ia==m%|P-3EXGNmZZe!x1{C|JqNZDrDFw;ghj;g$nT
zCHub`t4_%oNKX9ce)@OL+1W}rW0ecC_C4Ru7`Vr?O}vRRosN`!)4-WrpRhviRk@xX
zEdr1Ad`lZ+AbL!R?(luOn<~cu;heZj-X{FIkNUm1l6>4<jJ~V>$0iRuz=u1s{ivRp
zH2?H3E%Yt>jf21X4$`hmf^mk^qUpUwOHiLHlQX~id8!r-xnqB@9C_5D;+@$0sR8+e
z4U2Mol;$zhoa$YZ-`e_h7T<&1s{cbd_TA8;mUqS>tOM^|wqC6J@Fn=W@i0aHQsx4~
z(y~;W$6)9%W-dEJVu%Sxr+nl{m+s}QSj?xaKb%-9(t{uLIiXh3YA5??Wz`E?KW<Fv
z*(cgPZNYGRpp2KlSeEy3pj}4Qx0CCvN#`C<Z>5LvT88^*^=TfPtV=AtGOX|%IUYQ6
zf9D=J5V+%oBa?$;a!{ii@^4O4ovaeDi75um&Q7k+ba3xUwYnCkajz=c%Hb0ikpO1h
zbv4FwzNjr{!Tf}BxNMLkOZxNQH$4%eoCO}}uQuBI#zy1M0b*>wJajVXJKL)xW2;X&
zTwQpaj>%;@v2FAfix=P1=0q>7o|t|r+vcS0ZTD#v)~s>XA4$_XyZU&F$I5F`q4(sl
z-uTni#eBK%tzP{t>nC5v2G1cYZ0z(N4ClEb7CB;WggS;g-gW%`_jV1Ysy2s@9CsWW
z3~8J0r^=mHE+JGbgh~mh#Z~Iz^}sCU=D16PRbN}qZAq{#8$lT0`76yry*wl4570CD
zXbddsz3!pMCuZ(*H6Iy*S}InK_U8kA-9<WGWjCQabGxwpIuUCFAC}o6K|Y>gQJJXL
zHr{5(73`wnqLsA*(Ybra0aOneJ#9A4Z#B2L_8FV8sHd*J9tmS``lwyt+sC>V>i;55
zBu{P_WXoEdn4eVB+fKzSp=Kcr%QRENOjp?YMtjeo1#KRyr>9iRtDmgLx79FNkRqiT
zji&u2D%!D*HBY^l4|K!}?(M+LG#~Uz9LJud`v=3jvZS$HRD7Fy2czFC`88)A9SxeY
zy%t)}JD=H%;;Y_yCG{eJ_jB?J=ZY!my@8^|j3{Lvr_owxQ&X(_`u^;VM+tkGa#5k7
zFBH$O?DyGeQ(={h2RFg7?z{yur1t4oyZH%#0%nLc?Pn{zahBrDjgyNabH>=eshqeE
z{7L(`+){n^p-zEj-n`0U#b0c&5qIGH1BU2oV}*A#5az!-+P@tfFCQQz){<C#i||^C
z46zR<rO-qY?h-!iP808hH>PPdB)sFl!tv>Am&lKs?1&T?_r_Ykn$I3>T`*+v9xG}u
z(B<oy3gT!{ygI8Zp?+0E-;x|z+EFK9G8IBp=(;A6o!~O~#<Iu2<40g102R<_6WbVr
z_+9Lx3^{!k$&XYS#_5#5@M#9r>$0m0g+;Cn4X-X<Yd=mVPwu2@BB>UuxDWArilYI(
zeVxI4x;u=(h*n|^@9Hgg@U#dWT;9%DpC1O}5cDn#3>bp<B|KT3n%)sX#}mAKja~J7
zi;sC1bqsx8n_09O&y;NzK(uQN_`OQ*N<u`Jy&j-BR#%;jCOPwRFR}?BMi0A!gPA<Z
z2>rjsaP=rxtc=hQf~vkUA>p&Roycyf{Rs4E>+e+ujqvnrvbez-g;m~gq0RYBWmmhr
zN^peRO$iJJounT6Uzp?bbFTT;;!@C4;WGZx`dV2@Hq%yj$DDY&!V990+Xfn8;K=O7
z{=)mhI(}O}qNtA+a)+6RGZ9?Q0{rYBP`MkfB29F}vCXg!HBQ5j@wX_;=CF#{{+{}+
zM+e4D-Ki?<#=DM=>9#aOTk4UzcXM~&`(5|<vaDB$tI?UupaXHkPYF!RR;0b`ULno#
z0Wx8@H?{BfrH(eZuWDYVLidAZ$ms4p@4a&b&3%t4i9c#0FM<;NtA3S%%2VN3Z>*nw
zdRr>$N!9vo-fvF@GRgC2_=Qq)&kV^hb40w?03gJdmyCdSGZW;4KAAHK6Y|-3s>S73
zZn9K3oGHZ>-2Sa4?|n{j@>LvuSq6^Z4p)=os3D5#_2FE?Ta;n=FWArdJnKsDAyn?M
zvHuIvwyXvRBA5o(`!nvkF4LC~`i39FeJsXOF)Ray*Ycq=e#UuEn<$Ig;xZMBb8{~X
zzG?Z^;X1^oJ$P7!_;JD7wV=eGLG`<GF#k5cG}?t0MA30+upJ?krWCT4eo8NWULA}s
zh#~TQq|_T*&tz{gfBfiD?|sMK$H%8N{;`%8-KKEP?MA5ID3L)>#(`C$ll?BOZx46d
z_BXmgUCKGnjHBD3TaEm^Gm+yv=T-IM-|k?Cs|vlralT#8uX_qLv#uvLL)k?IUbb4(
z+@G4&2|=OZT#UU)OC!^34UP-LS^#A;d#SU>0iS_nPK+w7<x^F}6QhF0dbh*t4)x@{
z*X(6k1~0n7dS*MfGa~g<=701zCySpaXrn3>Pwp5!0C^>2{|HRAP0ZLe_WxFN#|%^D
z4(o1DwZZQgV#GZ#ubnSyHpRT2=3KbIF=kfSJrsQ?MwG$-9mADa<a*XT@tMyeO8=;t
zITuzmTBpm?chlTI)kt5ez|Q+wxXG6Km<sb6(Yd10GlwnNMbG5(a9=#=rUO*i(=0Q2
z;dv1Zx>MsgidPT__r%gg3!?)fiJz$ei7WjpCLIwZOZ%g9<5|5s0;^S4wPZaqO7k1R
z%}`#&Wvl<k)mz6!)x7`1ur3OSbW4MDN{6u0ASnt8(%s#;BHbaKk|NS29SVYUC?(yE
zbpK}YzVFZXdHz9OxO>i=IWyN>bG>6aRwuvQ7@~s`f#mjO0YR3<s_EvR>1V#y){(}>
zLdv;VB$iEdAFnG<j;~ffu7JsE-}$ce^Z;G!V^4Z^sd*WppjgFPjJdxu>4c@xQ<tY6
zBZ1=&+5(rg5?g8<l%zgSWnPbsj7~mpAn;OpRPHA&7UH?OUV?+<>2Yc%0_ahL83X%G
zPvfgCm02NkjD3tVs$e~hM0fCxgY~=myuLZRcxoxUR!=Id(0R&@Pd(-ML2=dV!h;2=
zM)zUSxc1d_`WK?#W&?-nn)4+F+E-2kn<WH8DW|_*R{yZ}RI8Ot$;i;rniBBuV?aUS
zIcFNTRCY?9RdBo2ex%ca&2yup&2+nVHHq_m)9=z$kr4X3>`YAazs~GmxY&<17dHlf
zJ}_RE?jML$5goh=Zl78;RXQ`#474UP)6RS!cd=W$bo0mjqR8B{uesQtW3KvlzfNlv
zwf9=xTV1hTmJO1hxvi>Q#u&EyWAgd|+CFvOH^)cIo383Rhw_Ik1I5K1K~u|Lc{uVR
z;XVq2hObFll7sW;ovA_n*0`bP%@{32Pve1%Ja3@;Ts*0bGv98H*k-|z4$+MJIHCGy
zqMxsu2nB9TquyD3+7xqd&_B@B)zLq1#kp>lIZsJAn&jZP?xMfQmRr?v^Y=+v)e<Bz
zY<Y7yUKGgt>@WwLYtYfJWgr?B<szzK_43&VS_m)`28kp^=(zCk>yqmGYZ{uQ-kzA|
zCjj4VFl7Y@MhV{F4>#>GupR7rDZoQN1NqvzPpA}g?wveAVyM(jjF-4`etCUJZFq>6
zIQfys0}i9g>YE3e52CBQH}lrW5e?F_Q{J*OKP#a^?p+BPf7K>0{Hh1JmUACNpNnT@
zWl=G#&IujIuW_X-j09Uw!|gsJaG0RLz}pYkDS_bZEFtcXZPx??Y}a<`3&WWb+s6;A
z3jCyB8-B*IT|Ih}fDO<thIh%Sx6ln;7?NdnoH5<{JxB<iib^hnI51YVw6NIN+;r!E
zzOaVpz+fFy_$0G>^SyNP`vElS-9bgb8v5Gx?RHsXVuWF&z4cd0#97PoTc8POJ9jFh
zU<WjOO!P8ny}#d^+u})dD5N+*>6>c7!0nf2hyXF|!cZ0q+b$3GRJ|?QM#5v|q_?~G
zw?>nz#981#t?y1x!Z0IrlBre1PI$f!7=D25D!d;Qly*cscfw(R(8+$;ws*^9q>+5D
zs(16!oXmfcN^!Hd3!<nxJsPx;UGH0~u*=q-hwi`h|BqCyxN9$njn9Jt9lw6nS?sEC
zgy3rD^Gt(T#|5R;B@C@POIbg2y~C8QifI}HetJKN_?2g7d}3nPjm`AG*q{(yD~4Ur
zX&o^#H08e4Y>W4bY3U*B8n5ZHm1XnE2m4u)SC8#ve^Dd*W>Jq1UNSpi@0Iu&%z@J9
z3k?m=+WS>xe;)-OksQRp^HWjjUg!;VO6i|mIBgc7`;FXL2l=##xIi&d5Qt(ht}@Y#
z9Y}->6$J!1(QLYuhRO7m7pbv@zkG@C%*jBg2^a!Hq=C#9`LnM&C0H>-e4dCUI3a3H
zcC0FzBCYll{Y-1ugf5ZyU8ShpQIe3AX3FzSQR`q?&s-8`P?~~{$V5M!pz@k_=YL~2
z!&m$(WR8ZZDyhER8J(G`YYEuiCiz9}2NXMyx$o>tz%HN*rDCMg*KNV~)sffXH<^Q9
zy|n->MgV|xO+b9s;7;JA?=lb4hBzPmH7W?|ILa%C^{s<PIsV?6*Az?5J^!a_AFpG$
zYIet8&G^;dRwJg_vd+dn`WMvKL~u***+70_Vgf>^4nS+Vo+WtTz_N-;Hf-<jj9o<E
zO~6PIv8$lCbG=bk$ro=s$Tu{1d;8pAP*qERY_@U9docY|w>tD5sL?W3-Gf5`#W4-Z
z$OaCRzdy=1>eGBx2}<gnj2Ih20(pXKB47^-2=$uCxn?6TuhiqFMR>QFSxEh1v1s6X
zMt9_0vF$##?iBsbR*?<+(6H?6XpU!22)^V8^Mdw@uOUCmJ5V3kJglWzPc{l@?!D?X
zE&ND;jD-->=|!8-Kr-;ww8k|`g(o#C2Q1uY+i5}WWM{gJ$r5+#*a6!>Wn4)UZIneW
z(+R1yaeYlgt8eYXn`H#kcZqpxCq6rRMk}L?6AUtbvX}q`K$&c5J@x5Iw;v@LI~ptX
zI{p*7&9XtdaZYfQDe6^kF-o^LnQl3y%d2sVn!3G)skPnH6<z`>fR1$DHmE$LgH5lK
zPCSs=@S$vMSb`;0NxEN<cHrgLDQqiQEV5JOJ}t}HNzL-=KGOeda1Ijzb??P&`E=CW
zs@B-PXNO;R<2xCO<*!6rLVT*{wvS#qCR)Ev80K;M9~lIA2!WXKJ~NdzIv29}<CoZV
z+bl2In>000^>lr?Gs+SZTUF|G3z<@(!ylz4IQ4M1njBU0`L2-6F-nJhK&8t8&3zon
z>@D6(4ng<$w9#xQqh)qWG=(t$anPsL#3wDle`;YWJ9R^5%7*FkXW%Pt>0T-frAtOT
z8R#2?D{m}3>px-;0JGOnWWm67lsLgh6T8^2^l!k-5cLXtI4SWE)Xv*Lb>puY(?48a
z3$(_)?t>H$XXQ*53uXn+VEAut#wsZM9oi|L3&UUF_V%NIk)nCFRkZf&k8YD=^`r^F
z|B&GSoA0;76bu^%RI`0YhUu|3HeRe^(^zu+TvRZ75auJ#A26ifZlDn}5r|Wm)UBT^
zXB@w)&NVkJt|(Iglq{+*phM$4z1IH|lmNc0al`b(D^h${_JN%$<i$?ZTt9Fzbd1N^
z|IvDdB=nS>-A$+YLOnO~zN*IOGlEn}7o<wJ!T5IKgC82`@!QOf#toRfp-89EC`{1j
z5}**y+nKCGGsq4fUKn=KCMpe^{+Z!+6bEJ{Vy81GQNz9)dZD%E080t-TSb6I{6;*)
z@ULj`07abcBb)BF-nJh!3jOElL7=FU1^1N#Q2^U66~vmDPboZEU$wc1OWL!6t=8X8
zM}k;`<g->z5=av?^qew>&h6!Hs;`qt^b*5S`u=S%R0PyCw}#+36R32udOcYm(dyN-
zYLi91q_w03qQI^G?Q%=-PCu_ByuYf@&lmQIT<iTO=W33|({04>+y<cAA0L1uBT_y5
z4{C0jA0fq!-XGrdYC=txOkdzr!Rn**Ma;zsME}2^5B7(7kZt731CjtAa$mCrO2r42
zCJy`GI~C3izrIxmfx^fg`MdZgMCQL(#AoZCs|o(w8XyP(3Ju<ACqg(T8d)0D<%e1u
z`345jEo;k7vUT_1gkxj2;aMgH$`gxCOa9&8RTis7p(*H5JeekdXV8E^pLi*%5GuaE
z9np&W{YUS`%9`yl%ZBYTWA@rf_cvu`+!}<G4jGz;x`$DQ_o(N;o<*h8Y+XIj=G%9`
zyRu=O-5VmJ+#YX{i1<Fx(_(b_C>h=>$sc?{?FT5_Nyx|7#KU*~y%7}&ig@<mhX=dL
z550!d-aF1{-IS~^Bt~8S*}p??41Ihz9^*~<)q&9#zqdFNTmZbmE}X<79NEXn*1j)m
zEVT{z+J<Yi&WF^xfF#DqH*^hQgN6ORRoHl!^;In_rp)>M3Y-9Gv&>gj45Akn00N`{
z*c7^;N^wD-Yr;~+TEIlypShf%nNe$!5v%_VFziE8I%`<pGe0&mTtrMRLL1M~J!&c{
zVIG670So`HD!}N;Fj(#-DqVqJzSpkTX5>4m7X9G*-JCFrmvm$ZU<L6#3v{p^e0TC%
z%!v5N1S<tg4lQ_1<U@;^ApM#vmx^+>5j#=ebvHbEm=drvZDMy~hQiFu3~H<ZI9)O0
zP=K8Q@@x|zfdlA32eR}2RLctB%u*w!U6GyJZ`(zCrYlXA$Ky3$kzDA%emwz<!?wUV
z7Hg8oO}KJV&`-!9f3b8aS^t_~X9*;fg-Fk`o(S3TJcL8hL~7QCpuazkO)=j6NxBu*
zr8{iFq*O1Z2lliBVmFOw-UuGhkQ9-idGd$iqN3wctKOa-W>!|K1L^v2!0;;@>D8m^
zwk_bG07y2ID=$A26#{_B%*?DQyx+vs)YQmmJnXY>%S_eRjCDG;F^VT1<IjqUqD0Rb
z`T0)(^5G49dGHrDw%(!P(JQ7L0?VDF?I~Aaw3e5bw^7l*Gt(rDjS8%NRsfV-qcJR^
zt*cv_UHs|OLq4nVuOWECHe;8BOW-y8xwJC(v;BNjTAHFYrSfpB8aOQ>L+OA+3MCj}
zW~x-k7uwZsyCw`(gqqvyx-TZTFi1-9zW?|!a#(8qGhZ>4CqO{2)sIi>3$PXIBd&d2
zoCgVAD``5`Y-x#juLxL+=<gLDrJ$sX`CbEf_4o61dfm8>DeN{M!)ZEzt$|Ro%9G9F
z$`|800~PsEPrCHa$ALKo&{7w-gQmIxih18WVAuP%WjV{|p7*tzDpDR*0Td$C$5|c6
z^A(Scwt;f-n=ciBXC!E04iG@+kuC~PD<BC!j@4hkvE6-=wN%{itQbEQ`a4z=4NZy;
z`WPao=Wy4sEam|p@zfldNn}U5Ft=&rPVc_ZeE;hVXH)H2Pp{5Jzo@Qp0ew7UPCj}H
z!?)jKqstunEtXmPMkdWR3!ZBP6`g<DI7?J7zaekA+LGR=ZMNM_*VmW+Sc<zw44*JG
zX>pxKsnY&p{q5N&-HlfaHL-rsjWj<<UB53<S~C<KXRdcu{F^a{AwwCYZfo=a6X7JZ
z=-jK3hLLgw1kC(qgIQ_31;CaGVDf2F+kKKlQUsy1xMHi<R~L>hvEe<^b60>G(f2x{
z7t3eQKO!Q+?9?bOyhlJ|v5rK_*pnPMd;vsEyw&k>$wLIUOPceJ?g>B^njMzAZ$5H+
zeHZ-feYTt^AzHF{&@asKQ?A6emxmf2i<>kovg~d8W&k_Y)%N;mvxR;Al?yvE+9)S7
ziroW_616y(DcaU}W{GvJ&7GaCP#1GgvJey_eTTv)U71Eo3V1yaN3@e#&A$L=4;o=s
z&imrNVOzOzV|Kc}YZ8>q(`YFN2qUO|p+dC}>6GqEIP!_?+M$WUFTyrlTm6s$C-$OS
zL8<1;7eP~7E=S-K6MVB5x?BJ8Bk#_r41|E1(|m17tN$AHq2CwUxz*C?${V|#(pqMN
zRDXFGWK0T%{6>2-uNs$;1x_%f9`D>(b5{+iR;tjYr{yq@gP<}y5p5P=U%-2bX}uRG
zRINbC81?uZ*NUuDydH~8AlhlT|DjDCHSPGrC>G2;zP=9cE8vSkP@=Av%EdKKt&&WE
z>Y&r$V!ej`D4eg;3d)JI0@z3joouv$ai!VaB&KON9p7{0oE!jRy24`%Ak1C&0Z(xp
zLQ$Z~5d4(P1n<XA64^S8>OVCb*m+XB`}=w%ad*aD&(zeT@-vi9Wfh9w>U@1??(mUH
zFp_Q+5i`5z>&Y!9VZTGn@B6Y+q(MrS=H}F=go;veVDc|neHZMki*O_~Hd+aDj2sKr
zr{FSxJ{@vO!v9n*E)B^vmG<Ijuy8L7Jih{rDVz;%W13Jo24&5aBo?nPK-1!e{Ym4E
zy_8d@NqFp4%3+^LB4IzZieR8VgZAvc3fDV!ES)!^h8lwJ1>?{m#OwVl+bZsz;UoYi
zdpZqxBFQQn<9E>h03R9(2fHK|zc@PuS2Xy?KDGU;<F%Q^??bd{fx&onALrBc-sN;f
zp6`k$!fNo)MhU=R(q^lTd+!IO8$5yvxSs-&FxC}K2PTCtcK!TQmk$hrL@A~~ru0+`
zSK){LHxvc^d$#al7XrmJfqmdnvck9+@sPhl<9H#AV+ETPQ||g8^M>sF>8N7z<44D5
zz_GC9=%?0xbrYJBb7bFvyQ1Uqgb9zpn>YhuQ-%QU*Z0-4?b203{bV|Wcw|z_n-w;W
z7O|#k7FAz;b227JbBb-<Dz8*+acW;J=)Z8PsMWr3y{a{BN$=%iLq?O$QiPz-@!`CF
z3c-!`gHF=J@OJ=^A0iu8@*QGbR~AGY00`_o5a;@`H6WD2V-Osf2Wyf5W^&GFS;t~~
zVu*hnr0#wfTQkdLXW|<Nx%qRmUkK8Z;N~00KHlE99ht8Kw$KHp*2yLYG>|6py2-p+
z+OB?}nR;pAgs!Fa7G!uZH#%628z*WLYT@XTH?U15tP9kKcu<vH=*{RwCtQ7&Nx6`P
zL2%88Ku<T=y?%Y$QU^RLe3C@lor>Z&qa5>J$#P!Ky?L}@RL#P7r>*nj_iR3{`uT;-
zy`C!t1RE>%9%+|Wj5vzRac522-6~^LbIi<aQm!!()L(m(-O3)<N2S6(MQr@%xZB~o
zLIot_%Hcd3*Yr8XXwECISY7TTj3*v^wgG%Jk)__?PuZvWR4zxrIFP1sap6N=T+Gs%
ze#WbbchLH@R{sOaIpsuG%OKon*l*mm(^4Ymu-=eo-~pn6t%9A%2ey5*AWL)LKSy3Q
z0whO6P5M}N6`4!h)w<Vz5)Xc-#aqR4^z}~-_#9Ve<B#zJR)kB5gRDbcdJ<kX>SlyB
z7i+#;nSCNdvP9z{B48R}u4nOeMLd-8a;`wFPWEDxAl<(N22FN)FGmX}{1*zAq2@nn
z2;l+bKe{7+7S8Tz!=%Na&Ryy`(h>4LuGj~Ph~5P+zbF7ibxn17;YU=+Xt`mq7ak<f
z38OZxYkvpEqqoQYZfui~t!@Y1a`owy8W10)sciNgrL}|9KE^5voD<)p*EquMy69H+
z!R26y-OZuAG817)?jfO=GdkcKkwYe7W*9R}z1CM6UNBnWlj$zO_8!Hb|E&0S0pCoi
z9$hoBAx7nko734A5GOuII?zTE4qePQNUM*z!{CFHlktRcq|H37e0pN6HwH{KL=%(!
zAOd}#a;$L+4Ius(n4+Ket5p4^Pj-L%{>bRFbSc(uwth`8ATv^lD%q4meSj*4d2%O!
zaG%&Ho?3LK>>JOg%Aetdg>oYdTw|&Hw*9ZUO-+vN2Z5|d`sz8!my5W}OCw+kRXgh=
zJZASah^;M~@~eJ7rf@<s4{b*+nXn{Z*GR6RNf$2V*>{;!O?YzPV)~buV3k$Mt2G(b
zO&z;7l+&p*OoRFM01^qies2D&Kn2X6$h<mt!I=B<WIrPe1t}i&Wo+l}VIB#JhjS2#
zr#xxJAiv<E2J;fU5?N|6;L(Ys;^<V4p#3D?{SQWLFjieUyBjN3mSqT^#NrE<f0yLN
z4aWIFlIk3z(;em>LK#`PNH@P`LWgG^Zp)WIAEnZRJyx#NfV(v$^;VkcyXY&28Nh)U
zk`t*7;bGrw|LxFw6v00uOWq&g0ceC0#!Ec?Q%g?bKF^U%69a{^o^=ug^+tOC;gz)O
z6$Lgds4te*Y<&(=vDX!4xqlH2u_Y2$qEA4Q4q6vJ%gV{{i0U*h^UzfY73r3!(8P*N
z$-eD2Ec0+cskBU?{pYFffTto=fBKM4MGb0_A#~8mE!G-;OflWyHRWKmx0D^{dAug*
z*jxPM-ic`SVRuT3HMuf9`VWlq9{q2Cl%lJ|NkTLL$eM(SR>j?-W6_<@!V9HirG6O{
zt5I?JT%LwM7k3Z2XR^BqOzD`~`+-%8@TeU6oK>lbv{>O9aLmAOJxl}A(+4@Zk|Zm5
ztt3~j*92n`FyrT2TaTPXoMeT9b&SLk>~8ROrn&nC?wHyN3=5Ln%ebVc;VGb08o)Gn
zQIwdg{-v|Xg0vE#@#TPT%Kvse%4X4k6_228CkwaG7!o}5pn=axIB$wW=jyEFPD7GK
zi_TTE%la?RqcvxbgLU+|l-C!98ivu13<ZSg5pHi(oy_>&ByMlS4H|^YNx#Mm@0;%|
zR6lN8xOh~Th`BCuo)_b&Z7lX=aWdjO?sVR(lbaXvUV^F9&KqB~N8rOm@WW<Bs$9V$
zwNZMQgUh#H&^GTTi?JfN&-TS3jsnRc;rCF~^^F=w7+-V-gf$58(ZP{{_fEt<X<a<n
zRm`X$e@w$~{l3LN<3@}Bt?<-HBOeh5z(D*+lZB)-=3o{MwSc!Cdr$eEUN%Jb{`NH6
zjb(e5ACbgo(28obmrWaFp`YO_7R2ahk7d$2*O+Id^!PE~>v$aD^sVUBP@u4g-^%@d
zNbWif@A<ZT(Is}xmDAlq>H9srZ7O%DclKiD<grDkMx=kIF{!R2y-H;{W|I_2i`SWh
z#|m-LD^go5@vzQ=R=ZC-Lf2FVAzYYBwma6LkR<CS6!x$l^XL5vy-5Q028;$_yMT*f
zz}wi>o%1=^%Lnj(49%q>i*bUiYRyw2abpU%!PpOMy<o^`u>pe^Xrlt~rh6xx9Y1v|
zet63$MEHLmJq-4Zq#h)JBn2<Hq2RDfHol#v#&^l%<LCEX;m+(f=Z;j#P<f|8D3?^J
z8Ivq)LsQPpY`Xdm{p=6ZqXqt)xFr^G(i?`KGl0rVE!K$<q~Xyik?Oc<wZ-s-mtPn&
z*#eNiHHy;|-T=l^;bydigbjnodR}5X%S}$XRPq4IeZsG$1noX^D#%>mwNQhqbH+3l
z8TZ)=WS47xL{+Mb1`iRl>8Rk$;PsSz_%{3k?F9>Rdv@0YlBlDHuGS(>FHUT$OALp1
zay|JZkb*22b-YqhIWh4}8myw-(>B8Wc}&0CPYXSBq;U{t@{7w)VC?(c{@t?~r4C_k
z)VL=uZEkL^-y;~bsD&i|G)6U4JaUy&4Syk-d*iFX669>lw=<T}Zy&zc&>2CtJ^v{P
z`<h(nX;s(EU^fZNTVG;RUe$&14pHk-UTe8pANc#t5HX~rP%IG*f&)bK1_R5S8Vsx-
z@@7F$i=@`@A@0B<%1$VewdRYCk>XDu=g-0q`rL!@(UWNt3;iSIZAg|yDU?2lKXBk1
z1GDd;zh_**^LhBv+v&3G_?*;`?+*;iza(lGgAGI@O)k^IEAwF|S#R7IsQR7X`PeTW
ze2&cwr{JYNdw1;s!`DV6R|TgSEA#78^`$yZLS*>_Lg6P@AGo{QH0kWi1O*Lb7Xz1l
zvVcz>_4}B_a`EA-XY^W*fC2c^ONhIsCt3C`+v0CyfqcTZ1M8e=-sGeUKkxc%LC1RL
zjouW*lO>*eJ%}-C=O>jkK2S*IWBZtA&)U^bvV*XU+ya@xZ5L1lfPlgD24682rif!^
zVOD>BXqhw|=`DO+@!=)T*(ee`w}X!<Xkj!uiz~hHPtcvr!B1xWfO&j*+9lQu{2AYh
zD7ge9Ve)UzDSZthyJ-6*q~HE-Paf;()gO6ssNLxB(%gJFuY`9llZ<{7;91STSMKkk
z5jX?tF2Qp``>^oUUN*kzz-&Waqb1kogY+f7l~?$<)Ne_zNW8zuI^p|Nkf!g2`pi@q
z|43{;%u{(cz(+wz;82%zyZ-{tg0a?!WUs5Qqx*8nt2>k1v>(_J2Df85zh%WTpOYMm
zz+cVCEu4`+sbRUpa9S>b$!=U$#^^PI<76wshhgYY;%2s1@K0wfBRWHusxJ=ajJGyb
zxx2mU)2O@aBNIiQ-ms^?nEA<5Q2A99spR7T{<L>#5Gf&f$#`6uSJ^2_FT_x^`E8~J
zM7yae$%&!F717*rIIXg6<J6vt5`~-@a$ZHMMMDzPf8@m&g)VE`{6p)Ozq5E1*nc&G
zbVT<AcjRKOUb2-OOIgz#h#TiJVd+?2R;^}uvZHglNq+36?p3}1mJxFCjn0VgdFGwC
z91bE<{%N~A^+G@CaQGKG&Ga7&3NuSE#D$~-s-6pWZ}z=@)BeGFYO%#Q*fPQrRQ6}X
zZnJO>Y9hzAR-kkrLT5MOn0*b_ru%k0oRuc3bADK2=F(f-Q!B5G#32*VPTmNuFHJ``
zSEHh@k~F7y6d<^aC}81aDx3t}H7K8DdXiC_;W#yT{rQ4|(t9(;cxvWL#tWe_C8Q@L
zSjFfiQg5o=oH`n@)1GcRyy5IgP>^I55;XcF-)i0XE2!z?(x85!9O*7iOfOGc0qIMw
zvuUiuIe)C!0msYM;<z9a)t)scaVPfmy(~eJ7_UP*MJ1!!>qNFvKrG`9jd=<vabZ+Z
zkBM>WmQMX8PJw&be7-J}nqr-b6l@w*tGMd<Uqza97A?V_Q@aUZ1~DX@4+(}(CDR1b
zPPz|$h!ch^5JBTj7!|4*CwX;h!UOi7p5;VzP-|g8k=xrB2f5%{Nhk}bpNvlV@m6t7
zcI4hF7j{!mjGw`=ypUMCNxu2OkcA2t*du3M=R{U{N9CmbXuox@HiX-0Ic$BEY{DV_
z#UpwIar0_o3q5!bOUF||`gMloH<AeZh<XTib2W}O_h*a6nhw`Bel}M|RK8f8uq8o5
zFw*U-?7Fb}dog0<P@tTTAIma9iDmTdN3hPGHV0C)!#ldaF9EkRwRa}Z?uy0X?f!c3
zpi(R*-t4noHLir$&BbgK4cluH6wj-pUqQb=$3=-zr=*N;Er}Y%Z{NWZX|-;e){r#g
zu^$T7nGC#^2twFSU`MNp#L1O$!9FB0-1~J12+t(iAH8(_<mpfaeaK<t`Qal;Gj<(;
z8F85;WU*4Yf~_Pm1BobdH+*NoFIlsLC(5ylA<9<IFg<gJ_QJz_lNj(-DY@<Zx>D${
zx1SyygkUA#hktn?sIE7?WZ5f&bTCJufh0qJlx${Y_PZ)`h2e@YKRKgDE{hb6(eIP}
zSk-HYIRmy=3to^?`(QzW$l2B(vX-9(-k6h#K}bcoiUjBrn4zq65u3ae*a4DXGrNri
zzv6;QrNA2d;S5pB={JPoW_Qy^0csp`Ct`NF50nc*s;P7W@6lBgU&QKvg=CVEMci<w
z1xgJ78Y6khijnu5EUVJK=5O~(>6KnkEX@Kb4R#*W#*;VX?_xx{OT<%>>Bn|~;X>cC
z1U@wf2@6F$`54F0?_Nyvl<AQlj6At71t{<Pa)^#?mH%1RqgK*``c^<v;*uA<zdcY2
zdKI7&^>i}Wx4or9R7c^F(<QK}l_?&+<MBSQH_W<M0q(qnrb|e7!OsR?K-=RrOUcQ)
zcS7FF74c2ED+O%Y9$<sP(@G<R0`^2m8z;w(wv=MIFNylJu7)ok90=ZHNvS&-oVgP;
zOAtjGrtks<`Nj0A=!syOPhp>9zu-N=poz7Yx%imRF=NDW<1ihmBV=%}7<h-0-N@Y^
zaCOVFij*HpD^_t0eR(&xFn}R=*h;AT*!|muJO(G$6Kvr=JY26o*s|e?@0IN69iLef
zCo0#ci1~_IB)~bb6oXHAUp?G3qT93kL*+j-W9AU~9=+4(MOf*Zrm&3+ep?EfgfH*R
z_EgTZvAlzk^h7?j-B(27eoSEMfC|rlJn}S!Mqr}uA)o39C#q5v<1Fc%WuBle^4=ht
z{(${-k{_-=E?0kgtJO}xU2*cs{b=S_+F(;Zx*F%c--mKhh!BhAQa+3mz21*PSaqC^
ze;E`gktKVS46DxximMQNosw>nGLgIjiX@kxK*KM0+>^CN)FAr(hk{JylH4GBslZw5
zZ29;#cOQ!a>xSkJfFUj|dpbDKy$sONC~#k3hEz<f!oXVyL49ZaPSP+iXx8jz#P?ho
zAy;mny)$p?cXN3v=B#(f<=^GCayhVK`Cau@X~`23SZb+e^X1KAN=t`B@i!|n%UPgh
zyFSajA+bDbU=iuMskgYg=qVV5j%S4pw*Ml%EB=PMHI#(s^1D<FSt=F%Ye^oh?`@uP
znG>$7o#)g~ZIwm#q3u{)$*Nz^dJAPn&82-(OAkZ17+3i$|KtQ`$mj+6vQHIf7Q-Z_
zhve8&SgkckxdpVtwfj(dVMvv*?p@T!fs8&V+@$Bsa5}i}`J&jLbJt%!+{xY2Nu~);
z(tG73&MQI^Y5TcZyUl&2$#ox5fuj_Had|Ht!mKYViG8%`+DgOb6Q!FKSM((kfMpz8
zW~Xe{F<RA@=dUBqYO(prbbVBx$OD$=SI@<~UgA9Ll-!H#{H3n3i^fI9U5R(t>D@kY
zwq*3iEWT2yU*Vip`f8Z4Ety+L$h4Lu`TI(E8fJ@ubj|g^+JjXWX{AofeU_x5K@GGj
zIjVOg1@d<cpVypQJJP6ww9~>5lnU+=4l&76X+wW*y~1mLs+{;*^Y0dqfCd|q-GxOG
z#8S5qBwootvi@U#l;G`r8F-BWAjYsXB4Kj;-3)?DZNQOI4)QBWaa!L&K2JA)NRv<M
zDCxu^5v#MMrFpZig(YUyuL?myW%Rq>S}uEAsJP9YvVNe>p^MsYtE{X{u|MpHMEnt-
zZqTFiebnE4;%`yo?`K!QZ7qF5(zE{m|5b&nf^^~dHy!<(Pv17o`DyEuR_F3wrRV?M
zFc;psxv5k7o%)sj1y?PlJE}UV4@T8f2mu{Pzp1=}68;t?Kw5hw?iZIynRYW5c_rK<
zrhj)CYgLK1MG(gWjQXCrKc#Ph_T>>G*LjWFcbmfB-jes3-$TF5*T+tz`9ZkNyL}h*
z57M1RUONu!Me%`)8q;SXv2)u6#r^L#QghiTSPLGC18J_5<K$bacM42Zt0W=Dv~$$2
zj3u^VxP_vS#gxvxp0%opIA#G-#M_}thX#8oy+4nLPq5JrwcZ~CnWzc_XpD2kppqJd
zoI1LO?YVhn0j+{H;^SHUsMwcj{UnR`Oq3mjtVfu^pPZl=aCUMn&ji>Q-du0*i$49!
zXeakvHIxG8@QEt(kv9K(T+YBY*Z&??zxe?;&;T$=fe}R6Q~$fm#jtfirk5CsXHs+c
z$&~g5cz}Z1XP^+M0$Kn!qWix%OxMc|yVQ$c*&nW{-nF)|>A#oVK|gd8_~4<qBmK<s
z)yP3Mu-2j!B@0{whe(|4_>9fWFBb&_*1Zz+V6NsC^m+Ufy+vDb8)BXWm46Cq=;%eq
zOmI@_R%e`bG;P}J<XP3zqbBLOpUXVgK(tk?RU7#ci{$YVsJVJ6-7N)T1jm6VGB}e6
z6<8)X#zeaM9;KHZ0Nbb!Y;TTjx#h#$rSuUM@az?!Z+{Hjkqk5m3M+vi5fsny3$a7N
z0pL^Ml!$N(Ha0c|_tU+3Ah^jfo2W2G=-VXH5jsy$hVLuP+;s*D)(Jjv)I}x-sdNM>
zffltQu%gNg)S&M_G*o?D4oZYHH@Xs1rm}Amb_0lXP@BAW95WvZIhj?MjvPtreXBVv
znk^%IXUgKYx!pB<_EQifi0L;-0^Vp<Pv<}=DKOeika=HK{^I3JGLbYvMV)3Z_wQnM
zb4Za3TS8LkmB5OTO}m~47{~)jcElNrMoF%Tmm)o}_jKLQEPq7Zi@Dw?AX@aGmpc=9
zlp7SEx84(lEgNBhb1iI>Y=Qpi^ts;GV4QD<aa+{+yDc|9OE%#9`O29-K(c(e`75fI
z?hIp|G?i7eYArj6BD6FBPxrK)C?zEY{a1P3^yB1zy#T5*01z`9`)A#e$-akeR0Iq&
zOE6^{5(=8+vVNjsqj;}w3GZgOx*9VCJ}?jKDq)T8iEIYv1*8=UTEi4*g1}K1;WvDy
z0qx1Mb;May01bue&!3~n+kZl|9)<bc2LPlle?mAK+(Qok<pFG-&Wdm(f9sEt=9Jpc
zT<-v()o6j}d)xT_rGZQ_UtkFhPD0{Kr$gZ^5;m>fPQgrQ0dDcxnLsm`0pu%!7d(|V
zXvO0-G|P?}NCjSS9%YEO5)65IS$10mQZ4N_URJ8}hj+)eIG82r`>L>Mq9noSq|keN
zQQ%>P5c{g@!Q#gdGSMx&S%{)I&h>a<GwM%oAi9<ioze411(gg#!}{aATEU!lf|BNQ
zi~Qai(<1AM3KZT*$~wC^%=ij2`${J+NS(Gs+2YB^f(&%Uez6-bP$FL&lQ8C+$oEQF
zujO1u;#G#clmYX=`B{D&ZXptKW2q!n&bzbxMhu1&j2&UO%jkXo3qFU9_ga<AWi#m%
z71`O@cQz9B4KE!z;ZHh9Y7i9)62UVa`;rw$D#vj3Q8?p<SN{fMjbJ#lm6S;-hn96m
zaE?qACeCE{NTUr<H}5ZYF(``9E=($}(2ZbtkG<3=|0HO%P>rynHwdu#UH{E#Kjd|#
zi8iQsxPA5o9_c~qbrlmnWW)9gjSGeY6KvBZUsgy%3l*GP3p-MDfVgntNW#e3rCIQw
znuina_p2yfA?q<jK&pTW;BD3+e`AjB(cE0iqxD<qo;ePAwcxbO$(UV+fSMh+I_?@2
zNMJIE1>|Hz#}Mhb=@%z(R0yd9j|G?lky7L8lU>2ZaBc&bbH$(7N6&zxO<uHr#kcY_
z)(7S*#LBipo2L?@8z&&Ul`7l=1ymw^Inn{^@AG)+Aq_{sp&DydwfunaH}SJLG_r!H
zVKhnm=MDmVtJ>wS`M=mEqt`XZeSSO)&JpV;>;^?f%6W1Yf13P`ta)BtRG#BK6;l8X
zmd^tS92~GfqH9Pq+qw9v?cW-~OAwtuYGOtps@^InQ1&lNxM}dOn+|sNFLKjZoq?(i
zx@k|1+tdiEd5}0Xd8~ON6i$O`J3NmL60NL(a2oNj9GyPK(9$%U_XmC~JiDOYOZ<r-
zbMD<n?TiP@Xq4Iyn@Fvs%Ies&0Sez(K~(b$BPHqcl~h}k24`s#w}^DdA=P0fat_81
znxe>L!k3%6H>4wP6bQttyQvk@`(~D^CM2wE#Q(08(YOFlif4Ui0@f_tLQ=>Y<=eQB
zU)qgs``~CaiWe%6J(8b!3vnjrVn4zqc4bVTlfSw?X`%G!m?CMapa#~dPr@k{J%u^V
zUh;=r<Z+v{X`t;FEs=1W&^3Kk{W?rH%QRSCn~Ss}SspI&ZI8Qhoxea!;8^e9yYqp&
zSA7mXmZi#rj-UT<j$EEV>P;}b#<t(SJLh!GW4FPvK{PdP78>>km~&IE=OWQVQ-}c#
zBk)R6^d1)7Fbi}-I*L6~ZON%{;97qH-tlwVNQFo7@ta6cup@eCFLqoWwLBftL!lvF
z%xyLIe%y)`?d&jFO)LtS$nZ&;21c*!k^D(URStYoF6WMW#-}Mm#AEWVBQxiT9HnsL
zRp;dvR5*_|Z|k|k-ps)g>tnTl`b`tGe3U&RP>zZXDsZ|1miCfqABSi9a%_t*rE5;I
zASFjAPmrxU@^d-3YnEdq{xwiI;(o=FC;sw7X|irAVWa>%54=!ImjSVhiGji1CA>uN
zuMgjA>I^ys`sP_T&X=I5FPtzz^Wy+~^|8dA#Z|h@5+J5LUt*+=7`}xahu1pNJpGuA
z9Xam3p?*9ub?HxeNtKfc9D$O^cH|c5R*h6eORXv}&DoXZg-i_1FA4q9?Ea{;qNA}J
zh0^fNGO0i0w+a6|SiWEJ=&_;J@X#|d76v>7X#a=T)C15u1P}V+|E4gx2>`ySewL$;
zD~p2srkS7-N=$MY=PvfeV3>fRe^wp^FJcbL8Y%2E2fqgi6$5(=vu})-?L#W~_A|r4
zdLLD@-<8ynF68HeUeRf&h=~jrZcJJ(Qa?j2ae7m;*<9fv>QC)5y{B7cFvxuR=nM(3
zpsJw6tjP<iyTY^#sJqdxTgAM9VA+^wiQqQ{3TNu4)!yVd?V!F6dy6yZ9w;$h07WT}
zmjsvV&NK%&QD*32CVp$0TxZep==>{O+j@g|1pH>to<>QiJl?aeH&8P{b_?7@!#qH`
zI#NlfNdxD>EzCN9AmFkyyFWTyV284KPibu6p3>YzrKuw(p*pqG7ZQP#uI^X4z(p)7
zkzkg|;*2}<OhNRcwBkbOqPB1&&85Htbp6f<nKa32a7x;^V`DGh%2%i+rq~`Rq3?SY
zuy>_w%iF0tHf*Q~x-&b(r%Sou20S|Quc6aS#gwRXTcb07-i&S5>@<h8VHbk`gvxlL
z_+bje2~y5jTk63kTJzK3{TVVE@|ICO?S<bj+Qu@|Y-2{MQlOL1^hR4%4N1F<YA35a
zxo3w>R#R`2LL`u9APW%6WzC>XKiOq4hxy&5zkAU?kty%bHHnQzrSgTIL0UA(YiToy
z>vK!NLi>YS8XVIwrRKS}_YFG2p(Rpe;ZY)gQ19JW!{^UmNHVUpFILFn&6qzW#hsSI
zkLnk{gE(vJ6dsd4M3AQ1VpwX$iOC?&{S~-<Q3|yQhRboi5I#=Be>ag=uGuf?K*_61
zM#XzZf&BjBqp~-1|C2A<e3?l3j^Ygn%abS5l2Wy*NTybsQVyo~^+bAyy2E{wIBj*#
z9>28-(Tfr_`rRT(G}QYXyH4*iU__=SBQ$ZJb)rHNIj!xh23TMIL&%-w{q`0swlA#l
z_U#ST-RRX*vwB`rqyEagTw;)u>#P~We*WW$+<hW;j2(GN+9{8r&a>WB9`oS>u`6?f
zqAy<(UzwFmJ>d2Cxxb$F&_IwiMd-~J{Ee(mN{_W{Et@YWHw@<@m_giet-leqM-SeZ
zNP&_LmYH=RLO<Bj!aTz9JS_>K0sEb3{|}gdusS{<i2{OA#V&Hb&!sdH&I~(pTDWgM
zrB~%sEXPs8iwJw0du4KyC?dUN+<~wM@a45*PMqdg)LHp=8lphkOi*p#i@}f<pi#D%
zDRcN7kG^}c8oRSR1Pv`d9#*SXA8@U!ePQ8{MKG1XpsR=gO&9}VCkD)~Wk6(?fS6xs
zrgN8X*bzJzHExWT9n6i{Ph(!Pd7*B`huJ5u{zEB8Y`1O^)1?z3VO~vhRB{POgAglz
zCmHSbv>EDn`tvzH1wPY51GG<(ASBl{tpm&&BPWZKDerNqo8rDy4zBM(>MZtMGJZbO
zsW|R?s!hOURs~;msW=&|x~VJFnZzqtUUPSbq9TN!2zA7HhTnJdTMxo(6t@)^>)^+k
z-&tN7ls(V=fGOqWkNuU+#&q&-BFF6GOK?U;)MS$FgZ4y7_l&}`tXwFe)hkZd`HpU}
z1O8r)_265Q5FHrgitL}_VqrwsW)rnJ_dV9@*#*MuH-#z-*lDrJGqPnGi&a&!O%}H$
z>s}iA%$M71>wq;vH9fFrt-Q0dGws1gWvDZ@=V|hOeBf25nFi)yJx~*?wxqoyn{wD6
zW)M4*`;a&>Ny?95NYOv6d$pk<mmN9I;-%!UhR4qlxw&UYua3Huk9xC>P_2tcD&uG1
z5Sa7O(+_T|YQ=V6TUgycc@`kVct9m-c%#5gp+InfhNgsKxYMoWbtle9sW5~yGD!QI
zQW6en68W#RY;s<~ykh4|-1%Pa0joq`VV8f`Y?arLK$u2COU^T@Cg|`AvN}@1o+--v
zZ}eli`lm{nUVpl?rp1>y%e!8{uIO`2;}jk8xoe6LNs{2F0EMcBKK|Ko5s8slf61@f
z$;!<iqWv8@yoG?HtQ+O9_sQ=>GDzv43xE?46Q#3;nt!EE#GNl_TF*}vU&*{aEO;dk
z>Fzmu86Ml)o9wey-eo5lL_;>p=spZi3Z?H6DpZeW$p0XlgVgWt&GmV37;M6B639^I
zBYYo<c1zS4pm_b5u1}j+kmf|NvOZu6*CP&W+^YVuo)_hv^3VSIe``%4Co=ou=Q5OC
z3Q_Ch#;JM_uMYQMs~;JHJ#lm6cKC#$Jg9n-+8Aqja`S@=8c|~9rY@+p?lZVP+8KjT
zR~vY0M6Ay<%!-A(`Acoz5B<uF?sEmnO5Jgw4~{n>MD_f71~zK4<dU8>{Jd3C&Clia
z9Q#WIx>(jzzd2H9H%KNerkGGsQK<>)vwZl$;J062DVEIEU|&pC5Z7;QB4gzk{1edI
zknziX9>Z}v+xjO1@LD8rPE_Z`mDRb~;E%DBc$|ib*iRScnm?CcebQ3DGG0FT)Z_fr
zo5W-l8x&Y3z{>L@a1xHFdyHZt<C7B&cjCPdmgpRlTe41~=D*`;$Cca>_<&ZO@GNve
zT>cwgZhPQVn!p~j*!AgRIVw|9d7l8`^0TbvJr@V4Mxh@Ozr;dkpqZ?}XF&tzBKc4o
zfPi5*2NfhzS=9WXKN;+7s-spQrIIxeHC*k6(j3T$o#W6DeoUiY+3%^C5KuSKavuH?
zYSOtGR)a-fP9pGA!6zG=TLJ<ng>v=+cha`3R~e(@a>xpJ_yS{vX+z3xC`yM)aUGM0
zQe!zihW%+!W$A(TC>cv?G|UwBaC^+vsMNLDJ$YEfd3dn9#baCJSuOjzLS_wMU~NRh
zc6_%tu-~cOmSf;FXjBIjUVCkJ?RI7k;HbtqlSXhfPP?=&l;NCnt8AIGfTkgD68M`a
zwpu@rq*2MSto`nzVipXJSK`P08OHy9q;mXjuccMLlD3hHThjebM^tszWzl(XWQ&lb
zT3pESMZaq^9%f9ab8JW%FVRqco(gs5b`J^l^i$Xe@w3ReXS(Olts)<gX_2pnK_Bf2
z(2@#jihnvKxMQBSQJxtN)kVe@jVMi3D@K)E^+a#}9PA8^9S%k{RcQ_UJ>=&9#bG`0
zp-r%}!CMRbM<)y;?tz0+B3<Y7bSmhOA2sX<3?43Vk!Yh;vpY94lB(R|F#PgK{Yjlm
zPxZ5#4@m4N4j1t-HU#?dXG4e|k(_8NAxV98nOKUbmK1iR<fw@I6g7?%zHq)KBSt!q
z$UKb1L+rDdn;09o<;P}n$NCtXv3tO4g}W|`NxZ>ks)p_7*?yF7nh0K)7e0OaV;e`Q
z4%&7!6Z$3M{cy5Jg#zdGhGJ{Vkt+*DxuA{%&PU}JN{dNnl*3er<dvI4#w?W^3!UX%
z%raNHVJ<!fRzUa-eXh*J1jLUp-%YO4mAMIX{gCwIcW(EvKYFni-83zb%xyLjs@?Z4
zK1j&xdBL8~)~gY~vx;uD+|&^c5M#*b^W?+YnG*2a+FC*GyK{jt?X34J1owsoQN6MT
zIdu)mYl+(wI~F>qv`;|NNih`d?<L+w6CFz-9#8!iPb$<Q60^6ii}%pqKSsNOt5CoQ
z;jts=9c#bV9+Krl67T;p?s^L2=otf<Q9x=6_Kq8s`gc0YGnqP$A`VnN6Zqt+7ps%4
zN>MMW=_#NdeBk<eXVEpH6e_DGCKS~1QS+%G0v=JPh0kE7I>#lydzmACrUYM~vryXE
zVp~ah#Ey3j{6JE}ky=246#NVeK^B^sbF;-$vckxL<kc1Hx-S#dJYXOS*xQQoTB0Sv
z+!!Qy7qX1mJ5N{;eW@CfOiwrH4q>S&g&~b78%h91-hs&WQ;0KyL#pv(+XzAAa7sXm
zUFo2_=Bx<a)5ag_5<M<=d-1p;fjfcwF09hN^SQK1X8=r6lp%ody=u}#TPsOA{z2#_
z?@U&zDy60U3@&r{u*vhf(h0k;IfWh9Jj~EUWga&A80kA*K7&DKD@#&O-P*q#GJb^z
zS=3eUhjxi}+?@kXV)WW;qeh2e?DdStWO$Nh3=(~YqCP8jFKv6fm8d3nftg(HsVUy$
z{h96*uWx?O$T;l3f2HjUe$^hij8VWp3jxQbGR#=M-+ITRi)=)eL(WXsa{s&8!Y8PZ
zMAik<uGfRE#5d{dT{R%~k>d)SVY!nl%`kyv<q-|1#atm*gkgp7Y?Y_uq>V-o-*6fq
z8Wk$on?rd#jdRZXeuYYuRiJQ2b{Towq%YGIt>G9aGU?Zc#}<#2^Ds!wzy6j?l1e*I
zO#VB}kZ{1FmjUh~h3ja=yFc*sE6v&9h6w&6%Rn9jfsa1f@MZiVww>3FrP-P<T27Th
zKGNf1odK>(TXhH2XQUgk=l&ycwZw4G;M@3?k*Lok#$sF^b;N0|yFfrHSrvce4n`s?
zPhH14f6JNTU^h=2?uMPb`ZQ6Wc-8<Q;$P0q^-%<q^`{3uuQ5^b(T%RmPDZ3-Y7!$m
z{tZ~<g7_@TWPD7y{JZX}zEube8T5xf82;^EtROB5iO;>=CsLxE@Q5+*tTg(8i(+>-
zj@jEd%(jl9M)6|5^h4GjOJIsDYrjIzxMgUCxGLUeSVzLar&yd(>*HCI0I*%5^;2yR
zel@DScd}wB#aqSyCzjqVVX))OB6a{xOOnV@4EyP~B=W|FY*9ObKcvdG*a_IJT9J?T
zFCdM50s|9P3c*LgIJAEv-p&#TrX1Sicsyv@0>`t&vysPk;20Fzyln*}@y_Z_!DU9r
z#_gJ^!Pe0(IHgw&c5BB#+pl62odqu<0jWy!AHUGw=n^;(qu%3HFhIe>UE@Sn@@zgz
z({kOO<vscQW!lqeE8eiOvp0jQ=xD9FTKFfKfLB(>lPMLDwkm@zIe+77$_5|CU2~xk
z*dD9iy%Z<w)GD`jH@{bNa)<-FnBV@Y7K%%2$4}88ug^r9lv6pVDncSfQmUct{8GBn
zNje~0!-a{K*B^6$vFD^`OjPhrY~^N7!cdb{e&1f?W3$vhQQBRZr(YQ=E)-Ufwr#Ih
zY){XT9*`lKVBoXR8g%H)hIf?P&CnR2`9$(o;wd0Mv-7xj^bAEE-q&lU=k@(ex_9lK
z!Ir-C`9g}x``0Jo=*{w3hS0!c%HbTXsC*wq*WUWYwep<Hme#WYC+DTLm@oHNU5b^p
z<N)}f0OtGvIJ4)GiYDYfA8S&>-u!T+{_Yqo3*;V2GBM(x$`XEb`y>5MJ4+w<x{@|D
zl)fu?9Bn&gU5t$j>+dFE(!waWqU1PFV=#<|lnM;EqrWJVg^<(kEff*)?@YRF$8Snw
z5D%T#O4h0kwt^Jo$)BIJWcPlTi&{SdIR`h$o1c_6J0|`IRG2fAIb8HK=$ukV&d%Qn
z%yihociNrL2^z7fItDE^e*{=Sn>}WU|HEcl(I8(%N@v~w#D2z`xYj_7<qMG4Om+R3
z1i$V>0W@+LaKBlgZdWe_yW|)g%jD=Ix8L`f2?YIrVIO$OqroQ2hRWMjF9tTN<1K?p
zHZk}KE~b`J;N!5uAlS>D@Na&2`z=^9+8XjL#sbsEepTbVJ|p3YMK;;uG*#h!?<8Z!
z>->FOiNVFsYPAyW^TbEa@K!lM)c+SX%8df$3~$R1Qn-aakkZed+xXXMZUSXScC(!m
zhNk>jW)$P5bASh^6o0Dwzg8ln#Yg#34=x*S%i<QAB0@Ooh^>`bktt@s_J5a_1*RZ?
zSom&t5Vw#P@>zqQ!ndxaJTia##Xk%^L>q=B0h=v<Y>*Ib6dj%)n6LB1<B=)1{dn$P
zz577EQM38~=cW;Uo`2Is6%MGt#@SCto8Q&Gzou(f9CnAw)gt>yxjj1zNqT*^BYE#(
zQWg?n_y1F;LO^9y#t8IE3%f4{c7#Vf=_?y$^Cab*_czyOBw)tl9`v3KC~N}4ydzQn
z=j$`UJO8^g+ycDplArHKY|wHOTEjl+OxIa1g8qESr6+l^^EuUb=zjw$U9*xG&|dyU
z$g=*2;W5MXmXF`NHtk7}wRGIW5L+H+TAS&R!P02O47x2Y!9#HY0VL8FhuK2>p}(R2
zLta*p4_buz1?i3b^bmT8mK%b^HL&Sg0?cTeHux2Pd|*S|r$<Kb&B*DW2S2l8hHdqO
z@{MW1vvPp(tiwb2-?#!RX&}r{!q7A&G28l_jr9&RC>o}X15&Ip2jSQMJ*tW*1WH^W
z*y(0B+r}+jtMhyglukymz{ReLtGN+k0Ypy%T<?*e@6jK*#6;)s#~6I3=V`|;YD++&
z_de+2>ax)Ozr1|JhjZhQQmr^rlcXPnzqCP8S{(>imjioO{MJX`ELZ>6O*3fNCTV;R
z!sP%>_1A@R_(39!3C-=nbEfsl+JA3~Tj&X)#`d_3wpZrxu3xC7DF-0!r`_5eUuG1Q
z7I4X<hU5M>|Mh)*#J><N+l8jOjjpQFqh5WD#h`G?=~^6|l0&wsP~m9kupAhG{mw(6
zB>&H>P_cyCp=8#%Fh(@IwR})}04mrHICfZe?93}*-v8HR#ILYEL=R5K3Q?mu;lQhY
zPbcwt)}vPb{`XSg`Tx&E0mtd}JJ<|b;6*mnOiCJ|Anv%%u(wn{mU_IaUFQAc?Y7nr
z6Kls=pN@y5r;Qee<CQ6a@2%h51KOqMvY?smQbTlT;1IE(fZX;-JZU?J?vUJ@+m{00
zp!Hk3>VK=jzdNhpGXj48$W&9BI3GP9>+^ot?D6x<{~%lpxKg*cSs?VejGr*>SsZSq
zoy;b(Qnx1f6JR!AVxNvxe4F(;`x06>i(y$lKXst{G}LtIf*A}1G%yg-S*u3kVKS(1
z__){#oMxPUrbQ~W^4)ezGz3!Er^}(029cQI(!YRT)x8~SU4M<k76TImxY!T5sd73M
zV`yFRLjQ!T`m~vqfW5W!H|rs!+rBrWM5f79P2ILsOPDORoeH-$Ch2(!T7(b!xWJ5y
zM+(A32b<g1;5gIFGsq6{x^A#+G2e4U_vPe~L%fR^s82HetnIMLWvdW84hBjjN~mtA
z>VMnYg*NB?2tq<ISy5`dd`yrhO6mcII2a78sO(Bj&(B@FCae%~m<k1ISI*A5Xg;u=
z&UFDVAG}jO`J?X~x6lGC!9_Zv5s9!f)HFLtfw6|&naPgq?Q;*RLJri5eLB)IUe#(M
zPY*3ur$dWkL4bVu#flUmSNS_^hL!b3MA<3jj~p*Oa$jf_+Ji>_0!Y3qo3iKs0CHTn
zpw_peo__q>pIV!~UVDKr6VU0QI-$%9S3!$HkQ#D>jTS3MTl#oTw)q>g;RBzfqj*_A
zr}#)#y+m{aA^h+{W5iaU@CAaXq69k66+JWJkqQ<RRqx_gKxu;JiFE8GyTj$Ln9pxg
z?bSyHOViwU_5yv%NB_ZY{<c;~p%r@#Gp8~ey73l?efDO4ASzMu%7oK+y2bNsK)K}E
zB1$Yt{y7*H|Bm)(AJ9jKr7?u^S+UUOvp<gS$*$woYPM!iei(-h`-aOKGYQuJH<=N-
z68zS0Dix8?jrdl6-D^iulSojJ6@HLl_75}tc8a|O`#_DOKjw{4d09}%l$R1U9oVSj
z(yBP<`$ti6dw;OLf~!?l<U=>YkQ#i|c;^|W(b9^J28sV`p9+Gv`m)X}g%w_bJzgcI
ztwHOdCiObuHyCCAJjMUnb%J;~DbkvHocAo+HSn|b?V6Q!2g?3Xa3wCTfcM0D4W^Zf
zxHT%Y@!ohQ6pS5yc%O%#qdym7>Gy*I9d<z<1HJM?aQcUl#Ldk`pF2TWD>dN9q)=tu
ztD{dClKZ#kz@O;tuJ=?6b@NYq19^F$s4_5s&;g)^x+<^j|GT6fKy8SHW0dNMZD&><
zr0@1ofOlMvSe>TwTo?X}O<6*y;SV|2iu1F_&&N{;WIlBmeFjU+b9oR%h69FJ|LYPe
zIBc$Sac5RSCQ78)B~Jm-5l(^Nw%mtSh`s3Fp+E<cvO69}^-fD4!}q5<orST;MOxgK
zZXAckZuXy4$_p1YfvpQKxcZx%`<qpCAPzJ&oSbgFUe)3BdU0a&`?+2u{ol9r61VPn
z)V|5{u=P+zgJZSwqw;Lb)j8JsNG&r%&JY;Bc_2`*G(jRc;FFK+&I-9S!bvY$GQ4L#
zUfmttVNFlI9Y68WNV?fNVkVF~tP>M|ex<X~k$Sj=nWDj`s-YGcp!q9_<7o0(2B5R1
z&RKqhY749HPQ2uzC3|)IW{Q9b?ZEtT&Mc+t&Ex;q-B)-;)wS^wgM=UmD%~k6-Cfe9
zgi0$Q-Q5fzprmw5gQB2x4@gUjGy+2?p&&^2-GhYh`+oQS0oS!$Yt}I5oPG9wI(|>A
zxA66b!P?9*7N|VIs!gPPk?*WRx-_Pu4T<}huec(M)Z4*@+o^GX9vs&Yo7EbK++#t(
zZ)nQ7_#BmVm#%z4RPohwZP%4I#yMpTli+~I5XJ59HXV8JWpSXkk7v^)gVILd^KeU>
z1)tnTofulrh>|uX=&9bnAzrtyBVZqDqDYsR0QCI}P+raw807>GcI&F?$~aq%8=Vyp
zEKBguw96KjR(}o!*qXS7TE79YFivV6dyKZTe+j~-U7L7TR9Ee!R@`0+o&)6pdpUlh
zXwoMjlcLTN5!Mr+1!ZfW`<Cg!HYckD{&A<@gB!m_CRge$|FD3QB0Tm^BEHK^dLstB
zLaY49Y~qc;rP%@SQdbb73NNJ_+}IORdAP9jIq%-y*pL$G)-tu-m@m}dV|&rz06)a@
zUDv4<eeEv%;k~lAbbyek7?D+=J<nSdL40EtTx|;At4e(~D)-|99%wqI<lZ^qFZcw+
z?`XnqwV|fO3n39zuOSOJ+<jae1wINvZTCO7dU@!L7QfVNme?NJ))o@6I5B0##8F)C
zct?w(6+C1@JnO>vA*W)qgTujvzG-zZ5ibVejh|b}*&W@pc{<#CrLXR|S#%zGkuQug
zoU;y~_yt4|oe_Bqm=dmpP*?rC$9i>@=`@eF(q@C4Cu@E#8|D7nEJdlb%qN#caS}I}
zn4I{k@G`|5mL@DJY%IWkT>p5vgmmcbM2+AhbFCBdJF}r^!9kOnqelU|-IU*zYF6)s
zc%3^s@<E={t*Mdn92O=%xpNK#MRoYA*A~=SLZts=gggKe(uMopKG?BIC928cV27Ov
z`ue|rmi`t|{dCJ3JsLzCMw}MlcOpd9g9uzc{q@>rwCU)4R<|;R|N8Faqbedd9%WFb
zcCna0l0lXf?9-U0l*hUFJhczg>42c6Z#2*Q_pKt&6WynR<y`K{0Y^!}Z&3L!*PzFo
zB*`A*ztte;rnLY@${^S6Z-Kc}A7fBK^^H0?SkK^{#7n20GJsH*sMu<4U@@dg-j~&`
zsIJqgIw4d*g%Qc^bK&;J9|^hDB$p4Xy2_?0Hmgk&T^=DTtAl|U2@x9$gP4bljd>f}
zC2Mvc2J=$``rX3BwprNz@LVm?q(Z%Cv%n-ZS-yr#9weF&t#6pqV`Y#xNevsVj;T5`
zJn!Bd+4Z}EtE@3sE4JSe<WVTRy41>iZ2WqhQh`yg7ves&K9^bp2;5i9L9&|1T1mwY
zPZv4##>x2sX`|H?>QiTF=dP;5ZvNA%P4~+pyPN`ewcnt?H$JE&OE!HEV|D)%upM7%
z!31z}366hmZ<syAutMxpA2JF=B8z92Vm-d|2J6@QGE`y5#{@h(c(Kc{o4UaRg><UA
zU`Gba^t5h4i}B&xu`w9%qLf9Rcf~Aq{)i<k*rS;C6s3(u6lwA<Pt_Rg-@w-uk*dFv
zyuURYqVC8CiXD?9qIU7~2>_J{JTlF@2@S`CyFBwrar(@w?_Ee6R#S+>V<0!YX`=Fn
zoQP2ljJ;=mtq(<i@I+8f%q!sF#J;Mcl}}H?SXJ6R_E_Wo8T%&qv*+XEaSQ9;<9ja}
zTvX4APt^mmfiygsBtVPl$c|k9Zay=3QK{(@LFv<UEyAK#6MxZt3ROCii1^22ASBQ*
zb@&DNpg3B$f;%Km?!_c)0A?`-T_GO>b58*DM6P0@!~~*xEbDIk{Pxmd0jTQmyh6g2
zuP?eiV6?iWfwGAROzQtwwmc_NvAY;l?x2MucrPsL*I3!D-00^ly(X#@biBVwiG@H@
z%bYD}M}t-))Iq^F=i+mINaui*TTi^eTJ|~sb@{l*IL@IY+{}66x(PmW&Hfm_hTf6d
z2)l2z^XDf5o!E^Cg&*JxieGGk9Lj>85#w}Qdk+*9J#Ok+>$k@`>b#gbjiBa_R@i>7
z{Ws}sFu2qh(-q6ncvtYk?gCAIe7XQuI}HAFvd-h~fDOKNWFr9DpM?2{2CmU5AX28A
zV&F}23x1Mays0q;-fk#-?seB{mGs?9xI}D7(Ie3*1z!<GZ*f4+ShzW*CZ8xbgrd)<
zLe_cPOiIglYh}ONx8YG=fEYpYI|4rc&?5YNH$W*#`cD`Uvigr4V3tJM>}<fn!HFdn
zInFozZA*ziFEL+a{2Z`_KcG+U%6w&njsHi!WJ8fyG`rweCb@{Ra1dWo!KY-7h|Y`^
z1W5&mts=FNM#ytW%LukGTWiT{TRO{_7z%>LK16Z%4WTy{K6^G`CFiRc6mZ)u`x=tC
z3=T~@YTNhkv77jTHT;jVpwp+v#5Mrj4FJZjH$+ViJpFtw!1Or}8rIJD>P!mW1}isi
z{7H4T?z07|nxRnmX)Ip1^*mpLY8FH~oD6~QO_G}O1^9cweL$&Xj#tV$zpL0DCN`i(
zFtvEGLhUl3sy%Ap6`Z)`V&jlEKZawLip#C`h7ikCb$|e%k-q-^s4+7;JV($ecHbf`
z5O78g!t%VPzO06#A&G=TY()18^qpxKZevP*;2)#JXOurE`eUG^HGnJ#J5AYfJvODt
zR}bG?$7-2q_)M%oAAkF{Y>E#?iD%RH^470~MZ!5_pQdp!j}cpmJbDVG;K>5Wkbfbw
zgh!Vl+GWA{m8B?4qb$?o#Tad`Ok`zaFY$VoS5*8Sh`1r0oOSq(z2V-84oT<10G+N@
zZ?j4w#cD8!P$pP(G~+;%S+G1laz}G!TIlZ0lso0*g3h-SNE}&<?jfOfs+pEE{KfLw
zP!P|;DM-fwMT5|EI%1+tS5T6B1%;YCz!>eV*>PmTi*NZ;eKC%*`Oxv+{u_WrWH5x-
zj>}S?U-m9c5^_>B{4z#<XS?>`<BSsNg53bTl{8lgW_pl4vY&>E{=I(lduG@VLYv9T
z<GzfSsOY-vZc9#Ty_S{>gg+wrY<Kz!EFQor&0Bt3X_o{3GCZz7s@vz<rd*x0BPbM|
zeVcKJ-u$Vv!rIMwH)==Vt<N!OZryzQ=d6f3daG?MHda#=75YVb(aAwR-)3%kY;QcM
zZ|^`9I}bw+#@`plPjx6zwYOkzCfE~`(X%{f@>R1g5j6uZv3zxBx0AJS^n);eQDR>B
z;T|e%%w<8f-P7VrV25OK7Ls16S<{s89u*cp&**!Ld5a%I2jd|=M@76|8(lB643Buf
zPac1K^KC7*IZn9df%TMtP4}l)bq60SL~PeXKO0Ic>Q`9qO*(+)5}Z1BU5C9=pM%+7
zX*)kM6Zn0as*i0)x!1S_KRiBk=a2~}iPat0CHsZEA|&YnsG&Lzgzf$m#U^1u=sOru
z_%Pa;qh8AS`yZw=mL%N}(+1>BLbLkulkxF>7OwOr=~Eu}Rl&R;MP{Q%IUYW7>M*;d
z%9k+vDc09`4lHSG{JEU?uKvf<AA&#*A?hWi9`T{J%7Msh?+!|CQ#PNL`L~oD$D6R@
zZJXox<KGiLyYUb7y%Qxfum*mLUEN0F<>GQo&rmv1J_t20Ww5M?GAK^PJo!^9i80d3
zs!Oh9bc_K6Jn*5~JtEt2B_^%JS4(T%whKY6PhJ{c!_?ur+P$)H3lhK1ZCKClLI8D>
zMA=~w?u76!)(^`Xc`D1Jb^8O;wAR8VTf;1MOSGI%TfOuBr*^`eEF``?mkjdStG&#K
zV-;@Y12Yv@43fGwO}x9d`Kh2#BCAm6!%Y14*L9zxCeec<7nsGU_x-Rob8-d18f}%M
z2s?uuSu$OrZ77Xil^dcOp<!t8v5%QskR3G|P{MVB%H^-?L(8VS%cMng^I~|vkL_EW
zjyKw-o^^fp*AfPy%5vedjpc{Sl!Y)e`Ssw{Jxa=2UOEchQn*k3Otnax%hHv_;o~*d
zW0elwn&hV|wcn2SCtm`~<?Z+=$B!60t`s3lKA*^Dg$nEN!{|!akJ;XJdk1UF&$3m7
zttE@OXuUR_hIO4=t~-Ddp<OU`sl;PD8q|n?Q4w)#O*GMSU29RxRqoFJI{DxivNbFF
z51?^!5RC%dkN3~w@9BCNRMxDCZ2TB-?>cwhO$*@(^NzUarBas&ia7wPmK%8V@-pLt
zcT=MrM*%8Cn<1jR@4`rVmM6=cep$;W?`@he+UEPfSEonV1lg^c^KB+v*CX^jS+12W
zBIk~QL0bA=-?F3TjhdgW&##+2bl~K09der=G$(SXM6U$eag+!VT`-RY)S>xc$n8wR
zsA{65C_URVZnx2K5`J~)v3;efXsrIunB8joOYL7r;-HRvXl3Logf0BrFOltyFA6tg
z;%$nxk{4O^9Un!kOt7W`q!nMNdK&-tQl4Z`c;8EMTQ$!;q!OKIHcv6}ew|vMJ<w5g
zKxQt}KlM7-50U;2CcQAexk)ZB>0;OUBd?BO&&4JgZQS&+au-|~xp^U$Tl!5#M;_9t
z?vo>HbBg35QKB80D2reaO{$;+19e}<6~@bH>{esX!0d=!yag10EreTk(ffa@-3CaY
z-)AX?!9WcnKBh!|lRf^9;RKO)b{LELFdo*|-Zp|JJcMYtKSbfLj#dQ=#b3m()B6qc
z>YMc(h#pSk_KF;C)O)>St~>Tco`-GM5$ZVJGgMRS`ScXwsO38Y&2O$RzI=AdV1$`6
z`2h>N+qy@OaGjg0NJv#V?~QH>!IdBJy5#zXGtG}5vS+D1X9R`(eU1LJtq~?QzeeX%
zzJS7QWvA_xR)BMCO@VNAVi|#nbwFYYJu^WxWPH0nv`tz$TJ)^dhH@_T3OoHwulK6@
z#jAcCB-(X2Pb%W5^(7KS{=4;ITPtq85tJMox8ik(<!7zrY70looqD0DICUOV+pV|c
zwtwyE3eL1YZjLU>ONsgt_>fv~Ew;!f6-Z8LV?rm9AP-+oQ^$H0gtVgr?e|#lo<0Pa
z(5X)?4==CrseIa2v(kCkEG+7W7NmUmqq~AJW8=rfez`->{`7ipV3)Br@6^#3$}7vF
zNOGR5vOnB<dfz>C-^yo?R}v8B@^LsEQ;jx!RdhTJbNn@Q=k<%5d)+@+VKz&Tbgmr)
zwOl?v`Vb`fZFRR<pKvW`!^LKIhd(b|3Dm^I%kBkESEBC#)RwTYcf;a2tBn)gf%Df$
za^--ySj5;l_FNnpD>+*&zA63c^Tc_5r#<4AXoZH&R;n=S^=Y)Cpyt@<ysZ_xe$hrW
zS@A=LA`8Zn?z(#7$wfZLM1rrVWX^=~ZeMAFNJTt%Ku!3Ix0c+1zIcFNXJJU5`t0oX
z#`Jv^!*Yp9WR)2v;R?o8!`qZau*FV7Js$HuxRG(c<lg4-c){ehkJoBkq-c&?vx`kt
z-Rq1^l<A#NE6cs<cP<ANxDx{JRVX=nDTEomvVF}nu_n#`0-q?qs(&O^iO%O!MGxK!
z2fuxP`zcP(;LS7MrGm21*lxFpju)l{8`ZDZUfwOSopraqH0iSdUuX;?2*mCb5!?eu
zO1bm%xYF^*cbN5Lz)Y%;<<4t=(kA6GnfleTyU9Fw<)nf2p8YZN^;@vAPV8HZm_RN^
z1)BX89X~YysjfqM$k<<qK2us8%xWWUlKIV;Mbf|h_GK0)hu5F5{R}1%imuSDKVgj1
z%Md0pkm7x)IxQi2i|588RX2z;o&v|5=Y!8JXnAEYj#wdl1Q}t@;<G`jQybm_(6Dop
zlMHzU+1kwPW}!8jxgD-8YeZ)ul50?m7(GZH7SegOUG#x*D*|nusB36wC@|kH+<=OH
zMKRAx3*<;+0GccuA6lk;epe8bAOO?Z)mbB2<<hx;%*vTIFFIc^NNzBIel#!>T%{sR
z3&b;lyM|^<h*}1$@IPk%DSzP0GJ-z{4Bss{`{Gm>$)<;3f(ZUUFM*1I_2E*Aq$rc1
z<5D!g4-5=+Ov=*$d-fayBtow~thq>2Z7PG`?r;8xSH?oWLe}tpASqtiREr);0vy9a
z=v_yw^TkqyL9UPsl!D$OQ2deGS1IDPXArxMlxJ%Ok_+@8z{+w{Pw-4^iJ>?t`Qn-S
zg}E$`#qwZ5L{$>lkSU$Uu)k0MlK*dV%NrA}PcGodv_9o>Acu(o;U}ab7j_3g7xJ2*
zn^aX9$P4>^=ZmPUsy<}IDCCle{TzleoNEVqZzjOVP-O&FM?Yj5IG<28<+W?3K3IS4
zmb@%zcBB=oaj|i#3z&@uJy^OQsU4ic4x|rhylysU!;^Y6KL1}_H9jaFMt7QaZKEaT
zWVw}g;P&-9FDRs`(XGgERz4m8&)A-ZaEXv}VW{a9tq}o!J}+3VySCl@MSPf9jLNhp
zP1xfK@CqNW^^BNG^|gXNGImC~Y91JHSR4yBx_y5ZK$gOQI-S(~x_h30hRWkNAa_Pv
zHI95REaB`}eB+s8qg?w`K7A6Ax~Y3txqfk&e;kWEKxR(WtIFEv?%)YAiPa%8aUi4j
zk1RF#lM^B;op<?H>A55Ihs_2M!K?pYAK*T;SesgYCUOC5aO3gW!W-Ub6u56Laf7Z#
zFziU(zhew|;MwuOVXCvpGCpU8^d8L8(o)dv2Zr(egi2OePk=eqoW`GG1WaZ&0QL3Y
z0rB#${D1@sYu(0uRamGU0Ng{2nGWzDEdy=~I^wk6w=3T}KP`1eDDdCtaHasM{T@6C
zQ*VL5az%W?=3giDNh%!x5c1zwQ&anY{m1|SUESLN6Oh(H7542f4ObA^Y9?gd#y6jz
zIcZ(I(H^Gl&vnq=Ugh*-XnDNC26S|!q39keEMe2BBFc@hSbdw$gNC3Xm#PnRJpq{V
zYxxE*!7hRhdnVry6Jw<d!3DJ^cvxvW?T2=`65SOv6VAW#@dllRpRAy>K;LkKss<g&
zkVW-#78SF)>bk#N0U}PM-=*A#3w05*kgSwGj{*`krbo2Cwk#W*FIWtvh2UYS>Ahn6
zR*TbE{u7``Lo$rW|5^eT9v_%#X+HouOX>eqx|<>*-yY8&>7Q@6Y`P)@)Mh4-nH}t`
zbv*cjc*K|j5X=8CFR7p$SNZmTmQ*1<mwdlN2C(7*Zh>wtlw2AZZTG+ik?20m11jKD
zZkzixctnVDvtMTfm|yB?Aki7Ck9y}!Xam{KBxV3wqV~6cv8p!GAg;QL57ZeQQ^C0|
z2I?fa0feqrV8=%q1)AVotiT{pO3>VzoSfWg6>z$XxVAWVa@8*Kd}VjxErj|~ha7pJ
z2e+)W^Z;~W6}{W#Ck1l%E1<P+3@fgG?c!a0Fs;<E_&eysjVd|;hAIW*URl@t_M(%U
zPL%;AK$uZxX}C!L|3z!Q7Lo1%{SG~u+d@+@`NYse263E0WK*7t_2Dz2L$A_Ge|4Kr
z1qhdz+ej)Yd>_cN1VCzCwFa!Otfsu@qB=xf6iO`_nBsG^J1B~40*u9MKd_gtA6^Rk
zYcEeeLhpkRV0_a1!@sEX<S@jT0bQtlz$Q6GU%R;Q-yYSO%7v<fz;WIaVy@HXvp+T}
zV$<Z60M(j*-1=*8{`~PZP?yRr9H#%s4<krBCJF53K)~_^y$xK3HhQ6R4#s)i8RVNb
za88im9xLhw66ieHd%+Up5E4?7*QJI&8dz||FUQr&5c`x0_Gz%nTI;XGxr{;Uf&<&q
zrc+T~Z)y1*tfvtcBvZ~B7GMiB6u_d(6!NCej~&$c034d8OaMQsZg|ZRuYps#SC&{E
z;m=hgqH4Fy#x9DsK=o2HE-jVI&#AROKlFl-ripcLzeWsK$@Bt?=~7J)vr0!gby3eA
zFh_4Y+T6)6V-Bi$G_GNUy(a34SxGs3T}w~`_BbCCuuIZIX#{JWvP-`>67EvUqQm=d
zV9JojvrBqaUUyd?O!4pcI8qH@0m==4xW~P>skyMh@bg7cQfTi|aV-%(-rcJnwid8Z
z7MOi8njiYCaXX}u!bihL^i5AC1*Ril)e(ePC--p&VlYbvSEPp02UPR6`eaD>1wmpZ
zGb!%zo1Co#h_Xyf_#-ddBmbZ13^bsWMpI6x(#DV^hOIiDG(yu-d$+4NugP-t@Qrtf
z-osn+04E_+ioVg`P9}nazLBwax+y4vjQ`_&#%!-yUTQ9q^6;Kn*twp`Cq|J~l6sni
zn!&&M$qUB4zW!ZmDH=(OSHL3VYD1vd@O<y{l8d*bXY_@|@0f(Q2zWCLS+waE3CfF@
zYoo$nw!X*9OT84~sJ*2HY*<HnAk-f8m$Lr#7T74kibr@TsV{#OAmsCJ0+1W~&FLa_
z@smHh4?2g@Y|+vMv(MLf${--=fKqwTMSh`}5QoL|q5;7B;!+4bR3H4LF$VB^0WMUf
z%~btIhM!-n)<KiR2vA$o=GSkxe2mv~Hv{mf*Gn@7Bx}(B$pwgefpQj>_mAp5cR{eB
zsv$7$>!`rij#{SRqnDmvqc}l?e(RB2CXe*WL{0n;XJw<gBUVYOsHRZ+VN;V8U`zEC
zL^CM);V6BW2BMgr9jIbpl9rZ~3@tsBePyLgXVRN$lu*)p--y{)L3~i;FWm|DBb*=s
zfUTtUgX7}m<)!4aH2}~@7$xB@!<wA{r*hVO<vo&h!T$YN##m<W-vB$$KLzxvIw~GI
z_kS{foR73JCoz6eNQHQt1$h+ha!c{Ua1w5FFn>E^3TVdw2!|^`iOdElo^3frmB9c_
zAj~#Z$c-bh9R`M8_Qy#X8qNa5<4Ita{<gCOXr(^%_3=_bO-e^lc#WCmIsKZfCUtCi
zaUI}Twz4bOxT<v!a~NTWXy6O&3S<Y{#ovDP(PXOL3k(GgdNT%wT7v(HvM}#MM7Kfe
z#uk_}{<sO0Vw388<!b=d=CJ_8f%BQB;F$Y+(2+hR)%40~=uv5=JF+U8X@K4PfXRkI
zFaf+Bmz3xB+<ex(1nR^0ik{EJ9df&#ti`lPPu<8HvfoA`l<W{V<Mk5`7E8nk5Y9Ip
z__-EYq@<+Oyq8IRHLP8T=0)5niw+VJ4vU<WxcbYG42EK>iE5|z&w+uLjFx{C!NT9>
z1ZxhEahc*}CYhQ;#sQy75SY`5cSzwz!!xwVc=dxSwe>xg%YZ=yPtOgCi;Ek{?uMk@
zUxI&?#+)r_fpy=yM0IVEjZ22*lG(&l8+C(l&zoX4`Nlsnm9Tu7#b`_EcTzB)Q1jFt
zZjFBq^yI=~Gje+P41iXDFsGFcg~#^Hy0@ftCYrXnT>r+^`QcpjB1~ZD9-VJ}i)63~
zx5u8*%+HoAqUL#kp1gLj-iwZYJM${_3rj%&LSR;DIm)5VG6@F&7BtqqU<z>`=}|A}
z^b7wq+ZMryuF>i*)asQqZGETj@kmN2eIs|62eCNCp3OSJG2>G;08lwVH4{l*i!sb?
zF$CX}hN?;V_2xglyxpPr+IDG;ap*SE8>Fy4vOoYhVThUkTnGJ1Ashv~3AT1tqO9%r
ztihK<Osl3Qy9DmOoxNYL{*%yaA$|F#V;}Do$KZ>G#?a{SW3<3UT6`2Bthk@cv3-#)
zH^H5xuxZuot`ZP-<GBTi-cwDN)X5r<U<$0R6jR|c--iV}43eiVB~o*1vD~n=^~%DR
z!zSZnn+K@Bs1V`jzP&6ojHK5RpP3mv^rghcxH68yWgkw;ajz%ew03PL|K6tJJDUCI
z=o?GO%KdB?DhsjI>Iq0BnA0y-Bm}>4K8qZq612+?6rhev@TwB}pn+E%EJ+i$E46oN
zQ#+KPSS%<bxNt^{To!LjvA}@ZkCP8-S5f@n2Co_4NL7OM=#?;o?~U5Y6U?OQ@n4t>
z=u&$5=gD}U&Mtg^{K*xz)<I}`e~AXo_BG}>>>r}8?+OZ&Hj4Eq0qG3Xp}cFTRa^zX
z6@VFMXskXiUL+hOEV}FtP{^+)^4BOmy|KUs(fuOFE+H^#!a=?wiKY9J62fNP54Xdy
zUN$=PG;8L(+PVI{oAyQ$!TTtW1hXidH=Sm4oVVu;af3V>DUrMSD*X`fN|ps!F8$AP
z++b>pAK8DN=7i1+4N$1Z2WB?}=TM=^5eSg_C$2k5l-{`;eBU!|T3i&Jm3=9Mru<D{
zVZLNghj(A3>yugAjC`>m@ds@sMG`~~#Z4%S`E{5bxmqzlsIf?pyVN`n9EdPHR^M{m
zoHOnlM8h_XmhLGB9KXj;`~-i}lG%VdFX;n~BCI>7%S`Nn@z%~h?AT+bYIn&GotlE;
zZ3HguGe@E*#|L3nqW|D~UkC>V9!gj?T`sSVX+RHMU>w1_U}tGnwCBN=;xM>K7=?Pw
z955|S?`liL*aa2pR7Eii&=nH-aP(h(-dUyAPKm!TJ#s^?l}VP{h%Gtb^Q&vu7b5Ss
zW~$USlLcQ_ZkTb-`6&LGD3CA)YTCo{<hGPHwN4@iMAnd}r0Eh(Vw06Lu@Q&f>)r)R
z=3I`Ue!O0Qe)x-h(K8*Z593C^P`j>j+*8a1!dv%!rQb6%N@`j)`k|THj}#NQg1N!B
z(UU87yAl*k^f>9vcbxrIC~gRNM!}I|Kyg>T)rIqppj1a;<etY86;$(hrA*TODHWmp
zk`s1Lctse@5Q;RtfJa0W*PFlJm%5o0hHe)enT4r!nO{a^^Rq!dRduFHN)x*lpC-m$
zqG$D;KI$XI>KqPongb#XjYru?6l?}aZ(_?A^sc;>wv_RlOD}Ny)-}h}V`%0~1A36i
z8BlPl(MY~D?s%rp7?qeokh>nBLe23S;1VN*=~uBsCK!l0XxrKFRv)1-2pWI7X8yD{
zhm(IK&ax*0y~y+T`>)d_8b=g_4HK?1@#}+VxH0T6RpO$9!gsRSG1K}KWa-fV#gnq>
zotWtlRco1IoXN>UZ#R#Ua+z~s4oZq>F*rW+zm_A}`vK*73eM#@^mUF)^3DmY<U*ND
ztJqd8MqpU@T`4eD;>&v3a@4^S(>YQm${bZu6Eh^VU2OPnpy>k<hv!<cTvo*4kXJ(K
z--DnknkhkSmbi`PgnGCBX}25G_)3RenVbpgdL8#!mT7PVvj>(C4xW3nJAR6NeE~0m
zR)s7cav!INdpzx)HQ7+?ZRWexL?pYd-7>TTy^qEotL|DZC?3^Ry5!Q1pGQ+pElx3X
z4ER2n_#jf8lD=ST`v6_wgB&|V8OxyF5`Hr`3{;k#o2Dlp(+fZq0|4`A*@B0rFBC4p
z()K(0su<DO-lDFAl5ApkR{eAJ_)Of$0S|w3y}gh70QXQv!$aqLnh<@#W@v$Gs|nJ}
zds!3<d@}#B#E4PkG?K5?GUB@BN*7agrI7u$2=pWP%XRwW=m7XXI;#||m<n-h^v52*
zQJ%ao)WDzS&I&O?J8@qBv3O_<Uhv9z$`}t(A}u6oOh}wEI(>32)TLuKrb`u+zy9kz
zdoZP1NFbK0vw>Vj5@xQ#H+?0=@yWO)I<twCHUCX02wR>Cnr@lph*R`AZS|9hY-t)w
z>N^`ryW-0%tl_!|7p~Ts)KE_m!z)Pu7*L<74CK&-Nv$sT^A1?Xmhu01CZD0ygY`l1
z6#e$EbwN1@f+gam`YIZInVy#1D#e1Q32PrVWZd>{jqBhsl4d7k-ub&h<j<u{oX7#@
zcy)9{0<WUN+<Dq3T_9{nGb2=^A|6*_7=k(q4Z{DS1`s=uE(P&>(mkJq^D!<%lE#z9
z)gQ@v^KfhN3&O;@hZ=3rX7iRj^hzc#K%wPMByh*g@%}eu0S_ut?7nv(S25S9&$ajL
zFV!oJXgpp|F(ZPk6<+(!#rciV>M*1GP~`UcXvXlXFC@$kLUS1YeG;IdQ<h3HATX^1
zdzbp<fe?%B6sEKE)_s@;(zd`68NWT<wRJg?ccfbPp;E3ms79WF{h^8gS?;fWJNc-4
z7ipTf=7m;lN+hNIjLH4UOk4l&Irare--$uItK4e*i50#&*4;*GMFDeoHYMLchPUkh
z+D%kwzGPNZn8-weq+b_kf;Z@uL;l*|?<X(4a%r0tOhx9(5_iRURZ1tyPx(8#h&ZQ%
z=6?_)59T#mPX8y}JJ=k2d{F=PmRZt34;iE{+(|@?wyLmcPLcrTa5MakG_Ge{r~z0V
z2Sx<{<1RCpkT&z3?CVcBbKSyn=sregc(~z^xVA@9-^;J3^)(X(lSw9OTqr?2Ii`gq
z!-9*Af9)~SZ?|?#GyK{>Xhi(Zh39#;?+biTDo!)X*rzd>>|i*iiyWk-)5H^mGr|VK
zZUCTWBOFQ*&*iZ)PzJ<6E<-~u)G*h~s1E1Gj#E^f12MG|Gx#Dsu|NmS=Uoiq`p8Kq
z+a{Gy@D<khgLJ?KuRQo`HqI}58nuRJ4FFI@YHdqasPRxinkb?-AsutkRKD2af4p!H
z0Y(((lAZu|H7}iNZ7stfD}QY`5qoAv1~tEXE>f-~2qggrA)JJdPPIz>Qjp3UG#s)$
z`CQHy5@@3TrHK{-413-omHI$Oyt--5Ce$tq2L}g$(q_0G*-q_yvjMl(><a^aBMw=P
zjVz=}Aqh)vQ9-~=ji^E8->(@d)`nr!-bKa#xne^)iBVp^pL!>ehUOKgC+zV?ZB(qU
z8P_WCI3(vd?c;+!Ncy#k?*;a*esX0O-B>wA2L?jqOiX}QxXe~;OaaX2tHjx?iwR;#
z4olaUDolD^$X%|>^xpE73`-Ssu@_|%zO+axS~AGG*@5jG;7Hc=pQwv$x+{vD8F4>5
zV||p^UaJb^X8b-wuV)X%O14oq%VmDYiXS@!*0NY637Ob9WDdVK4eS3a4C)|$GdS-g
z1UxToDpZ4nH)@2ac+QOlm=!V^DXlN4((!;dAZKQ|5d{VzbF{)^4@N%ykA>7higUi%
z;p~ND(6=XoAtWLIp-d8qaJ1@4nXIbjUrh~vg!>Z1>M?5Vtd`20pYRb9_$PN)S*lRN
H!0-P6d8{)?

diff --git a/chapter_stack_and_queue/queue.assets/array_queue_push.png b/chapter_stack_and_queue/queue.assets/array_queue_push.png
index cd164441d2d4ccb93356417122a916aba3c4a3db..0dd0ee97266148ac5c6db674d7b69d0072c0a7a3 100644
GIT binary patch
literal 69567
zcmb5W1ymf{x-ASH5+DQ*5F`*Bg1cLAx8SagyE`F4f&~b!!QC47;7)LNcXxZmIXBt+
z?S0=r#t+5l>QU82tyQ1SIadeC$%rDp#CZt?1%)UsCZqrb^&Hp*{elAlFZ=`&(7+3{
zy@KcmsNzAqZQ#vkBUN!@X=$kUz&;$*b7(ZEXHTa9zfjOP|M~FKM<k$e|LiM3Q~b|4
zz%>I*p<w=VJ`|KX@cQ(l3;aEO=D)Ac(xCskVjAf8+0UWUp8ehj{Q}O0@)i>C0AAp2
z#MJDeppe?1{-C3&kZ^(fh7uPN_~-(?mkjHHp>)$s%99!K%ia3ZR|%|ApHGPHC6A6p
z!OthFoTksKFN$-`)jGZwBVq{4K_f_0Dr8>Dz~z1W{P{5|$>z<*!rUAQ+xmvrX4_y2
z$7u@V5KO=G!ev9wLX+n$(l8;2=-odz$7KG`kH~SUsi{#>QHhE5)mQu+_G1Mq;rRX2
z4n}=*=gszNUwz;L|FJ>AG<=mHrVoYdc$a<^7#3En)9htvn3+1a6HTee&<*_b_V)Jm
zAs`?akhrshMY2)_d!=B6`2V@xk?T4ZP})?9>gnly{P@ws!$V(RKfb);6?Dj%w4|hg
zy2Iz2b3&hiF$M$t2R?sl;eTC0sD%nz*4OkbTdDaqN(){#F9!!U_Fg5GqFTN-X}{}i
zm8FYkTU%SvjpIw*8T%gkxpn&IOz&fP{l{ofQK0|19Z9$3OH#2)L)S_Q_HIy2G?U`g
zq@_Vw+eDE`2ZmqF)H*{qfQM3wG^$6S&NbF9=DlA_&ZnbeWOHRW4ovSt<-h*dB~g4O
z(D)BV{5TZpwRK`&WTPSW&u2>~cDA>>gl!2!fx%$w#iqAG!B01s;m$GZcR=Cpl#lbz
zI|J?&jvboHFZ68P;=4@*Ld_LFl)c<yjjh3nK`q%5X3LdVwZ*jl7@fAk>J1Cy)Q&c>
zTM_!y#n$UKWA%%em;ZkBL`&q*i#up}l6=a~aIq~M=)e=F3FSEiSMQ)h<~u`ivEe&{
zZz>OTUVcn>;YjrRNfDQ)sLSncnpx6#c6w|`_D@p+{)4}dqzX=t>3fDW-QH{;{A{1C
zN*Ub(UyUk@ZB1m4U%k5J+QYGm_v(myd0xqAlQEV8CDQ*i3BX9+i?_gOWiS^lFxSPV
zNc+02qF22zmW!IH6%NL9LV|^%=faOTonF6UA^f#r5m1rLiD0Z=rGxQr^AbvngegR-
zjEn+B<7IbZCOxx7u%-nI(JD+HgnlIQsr~8IEaP3Gc%z^*=PlpQ^nA7?uOfrfS`GJq
zy;dtsQsn4&X%z}N`=04Mky>Whd`yPmF=;U|`WK|2H_}pAAF=0yQ3GfaH8v~~Y_ml*
zSlf1~|Ced<CDr|$vpxD%4kj;;q4zrz&IAW7i<mk(PUw=fgv5$f5Y%9AZ#r>?%fPg@
zLMbdFMWT%5&#+}R1M9qhIWREm81Hl|i%rcx=R~Kz4w+y9TS)!v)nKOobm;>%I5b2~
z&&kL*BB4{4)<2EsAn;S>J0nj51Tqq%^q2Yj;t+mIOiYZAH}&6`OvH)zdw~IsnoHuF
zo143}Wny1!sA8tg2IpcX8~d&jEgA%?Kk-HtvELi@TcgPW5weYpOjx5{VXy{9@+-Qb
zPX$d@y5ov}A_fc{G_fbCo8Kj(*#?m={1MjlotE)DS@ed*VLnO%Od**g5AV5&*8Ak=
zy?B9|9?i--MDDgAEO^}qKRs%X)B&-nxCIVeCCeR0%s;;6n?U3<Imzi|Zia-T0weTp
z31)B6+;qtYg1CSb3RhV^mL+c4m{TQuaWbZN7d{ZdZH-Hm-AFSlNmV{Tll)f@Ny~<N
z9lRJ>x|xvR*ZDMLPS6dPwxfk#88|~c^qtXzNY4yx+1K$guAy%2{yESa*fLWCDQVGc
ze};bgB<aw%BG3Qw(_B>0%|MMvskt0#t}*CNn(d(83}2;fTpa|bKqVvnQ{v;x?EdNQ
z*_E$uurQ^l6`g_P4m0tvRXjMj=4$4)Ci;I|l<<R(PO#vb_<0-=$_k8vqM~4u5B{QX
z%U4B3`g9CjT8={S<is04BIMH1F^J;mLV}t>Y!>a`hLr#>cCXB2gGdfyk<{%9d&|NF
z9jZMG_r}(2P^8+<NqS`B4TK1KkD0{?j62)%v5q!5=6&#=5YJzUN^hE4V9Ab10wR)I
zg%Lw6;@`sYMyNCc(c12~nwqgE`t`)Z>7KqBo7pTgs`a2j|I1&@kf9-x68rJt#zg<I
zd^reAp+lv9%=J_`<!g9dcR3@oyfQCCca^`*+<y%*R{*4bCFghKr*D!0PL`N@ugUa?
z2EA9ls%^?5a6FZe`8x~oCzGd%b#p#`J@<K<vL$5boc8mx)jG2|d|f6V2!f*1#1#|#
z^dAch<c~&^gL8;pQQ9Pu<AUF!^V;{IW8tNe9X5MjNE0WHkJ2(%nxbz%WTd_-n+5;Z
z=l;xy4>E`rJGk3%0vLh)zCv@cB*C+-nBVvF*J*HLXdqe!bK1~79uve;MeNDQJae2s
zkM*w|IR=o(ntGlFkq-}Pd1dYty&38M5+=rFp%`}aYzCOW!j$f6pAX3r|1X)Ce;k#*
zyt@6Frej+!_%CDp<J-B2FeE<aZ5qGu{v96klYC%oqKPM<{<^c@@ukuiIArO9kl^>%
zC|$_E#l}|a{`|!EcsF`$DY_qm&7@qUuB58El}kmbz~_Fk7ZUPnNJB}bEy??OJ$8S#
zdX|vYa;6<(F<Uh-aiyqQ?_}xZRE69(H>c^gP-YN-j609^<kW)iKD_(;?U{XT0TNKE
z=f!kEab3RoWU=<9kJ<fX^Fv1wGVj$p>cWqc&(SXPa#C8Ct~XPy=W5CzR3yiebd42O
z^L6%v9GjmIXl)iws54kkPfvMvJtr$HXIX(LXmmQRqBD@hahjcIRepMXP=A=)u$3M>
z$hk`$Yik<I!NGydebkb|<DTMi(i20Y;l?6p%6E6v28_h}Y*@4rCs*MqT~R~B>jr=L
zn*rxqfl|F6t`k_yJ43MTS3}t@4i}qS+rn|#!m3bFQFXkovmjAG(kCM!N%P8Um%iCZ
zwB|fi5OG1qWB;X`p3Y{yU_p0JJ!jkXw$c6aVsy&LzcrP`d;*#8&gav*ppQBEU`g`>
z4q|`N$XH1Mo7R8qz#4?s(saF5{QCj%Z=vZ9g+x=StO!_67Ha|Jl#)-)%}xQT3kCo8
zO+>ai8{qm%y5A`kv#Hf90{z=1Ws}&4rv)7x94ssf^RCY)b&{*4;>l#7E#AvRj*pL1
zI#XEeH~M>edrt~4wFG~ilpFP7(rGu?EPr@uY#ljXphDnvwd{F&QE5r&*A*wZr{liQ
zqQU2Jbu>|=F)R6>n9$-4+~or#GV9M>!l6!;>a`V=G?`&8F1YO$McWSDq=~H2Cx^e~
za@rZoqiepi^Lv5lcD}RTws4AxcE<O3jeM@6?MnKyGo0^%eck<_mYjpb6&T`Y*$jLx
zr#+W>$4S)LyLNQhy}4TZqotqVBwPRO-hy9^N39666{f2kG2j6|WZuBA^TJDczi_v^
ztK;X-pLf21WvRRDCJq;JoGj5<WEH|dueDTuT&dqEtq$Ydp@7$w6a=2JuN~?)C|WGQ
z|9|`Wm?wx`nD60g6&{^THNsf)yVBVj^<2kgz4M`V!@yfk2Z~7wvAN9@cO-&y$_`k|
zfLGXzmNONkk}>b}d)S4AY}@=14;xNpGFhA-A1<30ofkbx+CR`_aQCsq@OAp!9JL{b
zuHT&RQhtLCmW6*EmzLLM5aO{9j4hT{iyeK|qAjKQdLvQ5?*+E>!>}m9@*7wrbN|(q
z6)6pSS~^m&Ml_HLK0Nt$;3L%5@t?eaL_}}Bz@2U>ovlC7MXObJmNu(o?+X%owz@AR
zB}F|6*R7t^NU_idJb?xGLt*=ag~mjDRZesLAM%-*qD{cRw5-lGvXcnKVcEHuwLYAN
z<P<q$TGj8fQb{DArx;D<K-2PFuc7B)BbgzY$yH^i2x)>-J*!4LzhA=~b>dnt;cZCC
z&@~Cjd3Ru_Bmpj#(wUD6_`mO0V2X?1uvPvi7(4~B+(eio&UCM+$Vl4yy>f#vju)2(
z=iKCFzdFS=7MA6<@hUz{q<bAh#ZDuKDN`4D&)T<(gyOgwJ31v;&evfO&NsN)D`KOg
z8@yz<06fP{b4!z`wI`<|-xyR{Yp5*pkxABIk26t9%lITS+G;!>W4Cxa{!Ud!a>Hp#
zFMz`wq^g}-W<Hor<Xy>u)83B1SZwgKsnyh6<-Wpe;9_s@sI>F~F|vfujo;Aa%Bw&S
z(`uH{_54IS9=qP|l0-zfT0)Am*s@D|Kwb6O%i8Deu@;N0*1Oq=*xRP=c8vD++do`A
z^e6p8MIH7MP~Pq{KUj^I7wY?G+wm7v4XmJ785((&Sq%49Bu~4#QkIqFICE6UBG7zx
z(pOZ2xg&Z9y@y4H9rW8CKf^)4rX#GOjv(E`3{`QIl~yf3o=6}(x-Zve<KdZ)&hO2R
z`%p<lx9>rbYSRjz=~=~+?L$F&3Mm+I?0Hs>Hl<`r8!CEPTz_z)`AiD^ZW+(}?l^#O
zG($ApytuY=eCW7~z}igA<_nauXUX|J&f~>ePgIYUuoG=gRQ!35{pMiS4|r=NWMuFo
z39m>g=gc^t<QKK^y^q5p9M5)gQoYJMkB+4dj1FUzRUuUS^IwEV=|!bn+S4ZXQ&R6w
z>2N0wO1KQ|jXQIByQccsHU}QeI()SfoDT-oqEh_Td8=>rurAn3lWxm&ypo#7leOK=
zoiHO^T2DGIk$KA$B?M<TH~TP&o%cz<;D;uL#k0D~{?t~iCFME|%%&mnNe=vo3C#yz
z^EiA4iSPd_&7{eo=^E{IVCiTghWn#qyfuMk)OWeP*oT3dl>jd{Ki-#|Ml!nAatmhf
zqiM#LrN)X(6G=zZ7tTB4D}S|*^$Zfz5N3SOSI=Vn?8U3Am0-Fp@JOb(Htxyra>b|&
zQ+0QPB_B$h&6fQTPprl(#Fyw92YWCM)B#m2F5y(~d@Su1`EA1P_f>LkvYKo)HB}qk
zI+qfoC6jk1r|(uty-9?GQ)g=H^Y-Q&qH~~FtL;usQ{!3gx6x&t-J+AV2qVdhHO<CL
zYR5@v7fdtCf%uvVWcqs;Ql`JE05}rpyG9X9tLgGDYyH`~-@m_(wJ^{-y1PED-ObPG
z9KDw$9h{X(=8RvE;9B&4ydTW$m0`kMu@k>L1)}ayC@x!q#+AVUty}=U+m;$QS$N|;
zxXu`SI?~Hci8@)6-Qy67%)!Kj9$PZ{Mm{vI>wfq9*?cf^KT1pg^4;kWo3z;R`s<eO
z(~|L&9I?#qUsmyk&9OyyIp&cP%Z)pVd4whNII@d0EMH#CF&C4#PK}K1TlXhh?jB>D
z!d@Q227g_^>PkG_Omk1{#F|F77{4gGZmyIuYeA7-T?vX!sW(Coo6~O-Ji08Fmfih6
z(yfX1S{iX@Mw51?Y5a8(nA27}ALze;J{Mk>PoU>-00c<fhov~13rs=}x{A@TvPBYn
zNp)f%FDO>Z1T$m0N(~{6oWGh>JEZ0s&w!+qqqgLB0oBEKs0~aSbri+<OmTGX>ci$o
z-i1lxFm}+sL>0{ernO83yl4fo3jNOg<)Sxv<(s!?kkD_%cQ3UWy*P3PP=I7kzmqVh
zHF)##yQ2QC&KP7eENL%qSD7R6(scMe8Mocd4H1JyG<m@n1mtOOKYdNsqHb@aM#Y2W
zY3DkZbKH#)m-8Fwq}S+N2mJ`iybELV9FyMn;>%5u_!CBZ<)EvI!TD-q0+g2Qg1ErI
zg77_2?y6em`GoR8puT%R{|0rD8vQo}C9Mj*B}n20-6EuYb8p<|d5iI)7UmYd=h^Vo
zQmwErWGj{?p~g^_xJoX)^Qu^yyhb}26bG1td_!L>U6;>&XehR}PAfzb!Hbo(#yi#P
z##Awd!+zr{1{Fo3QIEqdP+cWx<fOQn#RoNo81WA#E8@)aF4cr%($P1nt=AG239TzE
zzW?E?RXNK@IQ()6gUk7q)#w7V(0%rXVTqKa@J;sqbm$o(S7u7|uiB0#X99HmdFvzj
z0d*YckT)`4X~nrWGJ>ptFzA8?jLk6pZ<q<3GKeJkq+e&<?ac-3#SV<IBdu?5jW=ow
zocxEhh+eWR$TlGj4dNxEmo9hPhA!5k@j$}#!*o;NFROa>I5#puv_f9b8{O*(4QoO_
zTTuPQdB>~hzLd_vvTwf>v!%*-432=pGf~o;QES#enoe^Lf)(s_e9T&?le!S7x6$vR
zd>~bs>|N(T=)IRkQz%ANM(8-<9=tIyS2I}WQ54Ge<sdWxZ@z)TaH%fi);=sW@GK|V
z0*FoA@M2KzjPjws%OxK;7%JaM9q-0gMbS?qn49l$FiPk+V|W5WevvN4i>)rV1?V`A
zD-}N|Dk|3Yo#+x(Fp%*v-NcKTCUwpcrCu!k6fXODQL`2)$z6RR{HET`_>lzCh>ob^
zwoN)n_BsjVyHZu1Pg^QItS9}|$$jVB+&4a_nubrGk{V%Y463S=z9ikHzx@%I*L2xs
zJ!;>0__$U<SLC66*)~w5x6c)8oZ$w98*ex<s9QmC*1!4)xmoy95GHmHHQ)W&C}0)e
zWa10^2E`%VaZ84Fnh;Oa^BTisXUeF!1baI>#!c_X+eHe!%)+uCvM}^kvKM&z+jN6^
zNRSs(dtzr}in3+-@s{q#P}NrR3C!xUyw@b4soK_Q2Vru&Y>S~3mX29mEFg0DLXp8^
zM%G;AtIHx91UEFLh&l)fonCz&xMia<i}*H`5fM9|BUQXH6iaKDzZk{ofIrh@Zzn~4
z-0y91iXV1>Q&wSG)9*kDbiHKI@Jo!SJ%586d&zv7zeDNb{lMtsvv{FvkXh1n^Yz|~
z+tDDN>D}vTA>u@#ULatSX+a>-;$gxHR4R>?3<XZoPPBFss7L+pHHjU95;{XL8j6J*
zY69i+O-x^xY<F3#nctpKmj<B*fIWYWm$FX1TvCP?pTvYEclUgW3pX%NcD`D|S#Isp
z_)LQ{k?cSgq|K!O6w~}!fT5`1{NVi4=)t*y3<Fvvd(e~{vJE;z7(P@qd_;-gLlgQ+
z`LV)w<Yx4l21SJNv}q5gHtnLv>45EOC&#X|KN$0p6Cw^ti+$bOX)#@H^!i&@js5ZE
zjHQbuIrm#GbVBC=-<VEe3p9O>+lmWqgbK5%BYx_#GQB|ytF`e3rJh2$jdu0=oo9~Q
z+rg|XDXAnVElyFHYKarg%{B|A7s)tX9pH_18MQ`_otbgxxAsZXOnEjsKa#b*^nRu^
zx~sL{?)PTNTpm{KQJV|?Tqh=1Q8pd5sZvmb5lWK+ng=7INZ-G_;k&>RP@gixC#i~X
zxt<tS-BD)vt~yy+(W-23Z^Ixfn#@)e<?uSh)d#a%1Tj}t!f@bbeI}pCnm$@bEACGb
z8N~ajnNZcgnCW&fl7+AnYt&+5K<pr&n3;KVvs)6*u@OgAT+<q6^zy0^wI55<=4V+K
z{%+m+xm|l8>O&#)g+;Kt$4YyUOLvdleRcEwz-ZbD%jjg0m(zsopqJNlX$;?32**XH
zVDPBUbiLn9#iP@DIb!^F_J+6j!_U;uxh62Bd9H4qXWno5h=`~QrS(sMA}>4gZpiyu
zpS#4^dKp@&zsOpd`t3-zV8B}X`hc@HU&MV>NFzsh3bQZhx*DJJf&|>y3wYW(={smm
zZT)hr->_J2AB^g%+vU7-A~~}}B%}5ymX1dR$oD6;<++EKa_&s;i9bI?d$P*Nk6>bJ
z#ztS`FvCXgSnt)=SJ(1rRM$w+P@HwM^Ok4GOGc!yO3hyPn$<OT+c~M<x`1YoVrMu*
zw4S?e%giD~*}0Nbv10mtk1TXZ*VI*d^1aK%RDB_Hc1Um>iK>Ziroo2~pBgp%o>v@r
z3i{9Awz19Hm+vzd-eeg|yWz~fb2J}Y8ylSeHsOAG>x*D>i0SUKySzQWSgxz{qlZyi
zxYG;1@iF^B2SE08ftu!-zrx!;#qJn12##;lnEN6~DhvFvl;I7B9Z4^`tG}S*)~_E`
zO7YL<asb=_+n9Pzxcp*gyr7>f<;9kQN0o~S7M*s#meabU(Z>sm6*WQo_dqx45_`rH
zBVs=o$Kdy+olG(&PqgL%XurOTdl;E7wN(27jejD}Wc<K4cFpK4t&!&Whgd83%Y)Db
zI{Va|5jQFb@60h_hLpjpZfVEIZ+ayUyrbCtQareK`19%G7y$(H)J<Xq)#l&qB%6Ph
z3?$d~MZhKCsk2?a{hpk9ITo^=G~6>YGfA*fjtZ~@Ko3O1&+^yfRD?P54kO@eY6x%V
zt)^b=aPJ4Ht1Oir7XPw?c>}bpkB8om^@^%DR_hItx~E#s^F|(!+%3o;XE2mO3DLxK
zuM*i+d=Ha7E2rH&W2}X_kUtpBQ#wxWb?`1{93L-OF^GJ6Pu-A~Csq($S$c<B1)1Fi
zi}tKMoYokZ)naL`NP`X32S4P*@@mg$F~*XY_p;pXe43m0*q4xe1x7oyiONz|=A(<y
zZhK}7ym$nx`SwH64Bl|zb$&&1B7|{;IAfMY%nAp~+Uw)O8&`admjMB9#e&aU1DX0*
zV4vFQD_MTfl(%yEU!;kz0(=@W)w`j<*rxRu4Y{Dg+VdHf`Sc#?bjp$!TjJ#+bm|o*
zztRK%(4k|Y06Ut((xF@>e!k2=^dqxc&0eIg3c1+CW~w(npS_5Pzj(P3qTGA{fmh8w
z<|9)+{&N{-mc{3sjyr}l+n+VSDXwISmC@Ng&aq$GQ&5)d0m#aJvNFCD;;Nv4Ht+V{
zGDlh|7I!jyHT+Os%%g)y`=O@48*V;J&p_orXls5TKM&~R)l!!N`h(|k|4U4yhXF>g
z2#XF%-#HEB>qfrSpVnKb1&v-(a6jvbh9UfrwqxfL0M}A?6Gvw5cdgkSFYCA=MaajO
zdj2{on0IJ=d~?$NkHP;9j*RkwDUI@f^8J5ojxj*9pX^!bM*mms|2r`}6~E+&PmsW0
zt<Qh<cK{e`iSyR%T=ySW1K!F2fma6SZ<z4!UUN(hIO2FQzVq`RR|DQA0lu2d3^ZH+
zyop>0aAbF{VBGKDqhbg07?)}8ziARVFmPmYTBQIM{a+Wf0er=2L=H$1{}@%;;FA|Y
zN|cfRO;0V60DW`jkEc%Qf3`6w-%9hzK>)Vvi=jy|$jQl}Q!CF*OKUk*t{kVosW2VQ
zmQ6i)3<Q9ki^ZvGBY>pz^5O+A8rNwM!%P&aMa9N$I&J~5)sbSOe#graXC+Dyi!eW^
zCcE2Q^RG#uAfz|y{Z5|ZvI6u4&Zq)cJQq_2Pe7yR<@{!yQgSRs5|*~ha#pPNiTy92
zxLE@-Q7XM&>q4XZy~Rq~-je|X1)R3$xe@_ulQl!=OM)i%iFpQtPEFVKXavAzg@6v-
z`$+MA@$q5uG{#IQ?FGEh*wPe^`rjrfjTr<0w5~gOIWcrPVFEca$pE5*YY;@oOi5|l
z;sdRx2g{8e3<Sw43pG<M*CK167)a&yOsX~>OsduW2?B>w;yyC1K5X(m9ydrz?@knn
zhP=_UW{65kN&;#L=>+C&0M*RCEAhVXTR7KpIqty1WwY9=n69=ah{d?@T}^LT4dY6B
z8&hxxRMj1woiPRCTW@l*vyF|6jvIiF!zbrVM7`hwj8fOzFQNJOW8z<e-<zp4AJ11x
zWVJK{utNa&Q&dm@@pTdgtZi(Fh>E)JyUy1+iv0ut$;5i)d-c_;t1F-_Yt<&wJg%RS
z^nUpa7RdpADN8ce3rLPxmBN8BPSwtb3o_6ilUmLL$y`{e`v77|;I{Q+)~de9>;9%n
zBdLtcgq4h}GjBOmpwaETFblF&nUZGvy?M0X$?opBE0M8xnu9Z%!j+d+PS;^Ww_k$G
z{cSb#s$2oNL#n8Zl+<@9q)HWnu^}pGys;A5s6SC1j^5XDwrbf~_@482|JRQ;zK3Jv
zyW+uKiI_##&9|T2;jOJkvqK?Nnq~wZM?V3eW!RL*?d%P&M~zaDSXY@r7g6GHvCO%o
zJ#}*OmEy(^O=B!AhvC}Il->L_wAv>qRGxw+iRJzK-tip(+a$R=2QoPC*)PHPd<fyp
z6<{H3y{7=w8y*tkz;f2``B^mPr%|Zs#~Jey4s$6EZtl64OJQ%hI7PdbLfICU{6KFP
z05g3uLCdg`8sOFy8ZgD;pW`|}DH!x`zG&J`au^XGNMNCY)V>l*69F25NjN9O_rD{Q
z94`El41n~JGchsAI|#k4HXAnsFcvu0GkOUOurU-1y+op~>WA%D$PYk674gMH7q3Ck
z|5Z?6;MRCS?72euORV$RGy%Wnhw~Czj{ppU;@%T&BGKb%w7NYrleTam*Q-s^&<^q5
zS|qKdoZH&kUM{$ofbRinBA5GSE5oy35s34h9{%q>;oK5<-wki?b&x+U`5`9^!nbS~
z#WNOUd*5u6D_*!6*H+r*=-75($eaf^Cxj!_lv~$rlOfERBj;DZYz(E!au5@@Vf<)O
zK?Z<f@h>wX@6xNJ#ZI5_%l~cwDcMqTBD7h~j_F+zx?^ZWogZgoGV(6fX~xtyVHTLp
zKq&1BlVRd;?vX4>tWg?uB;>WFpMC(`dIHSvn^Y2U2iuS7yV|bn7@5S8E@Qd!-K+f4
zZR5y;+Mpj=(HA4TMI(_=iOLReO0&;w#~|RLjdB2d^8l5eSGBArvb3zBIAwQqBJVY<
z3Hn%m3c%LfK+EKXIcjh{4e5G=wcbOXYT=&ttJ(VzAS8?ilQ;sMCSJ`}A6Cdui~CHP
zHOWDxQkYmBhe>5uT<p(kNb(XMuY<%b%s-;|COp-ekUN&TKVC^g<nxjUE@pA#SbN6w
ze0LHVnS2Jh42K^&<na^$hryoIBMEJ<MA?}oy+dJ79&QgGfxr>u(jpv!v(~a7)OhYR
zgZ-kEf3w&}j}t6Qe3#XZ;l6N!hl40?xCdBl%C~PVT0-@cXTuKbm24h|Fae|AkYPmD
zy>9ob3wiK49daWIO-)TbaC8|{1aFH4TvnAj6FmWfLksAJX$=~FI!Icu7L;7y{Vdp?
zC`#<>eC#{NuHUej(cQ=W|HN}MR|WpxVD6L`#Tw?GR=MYFLs25DVP?*LPf!0qR=~z_
zkQOd0{&1Oj>rctvW{pbfzB18aA7#tL4swg0-aGy2^k`Eq$mxlKzJctaok=QYQL^Bb
z8ks3aD$|vM?xVs{qkmO{voZk2_1~^QK3pEmTLQI$oF9-k%~6{C|D@DhN0<aQ>jMsQ
zk4U&Bpxbm?$d^LwiJzi{yJY;NcYkx9O@-?%2`x$*wg`}PQ5r5m^3CmhD#k(tmO&oI
zZF(gyj4^0OP<1L)p1nu?P(5cS>Ey(UONLqj;Qwyt{Y*nbNKYBDB7MQd^C{daP+3ov
z`hFRxsSILeV`Zhq!384{RvMR8s98&)+fSx4J)Ft{9X`;$6MRBMwhzXn;l0@+9;=-6
zL$W149fn5SQ#aWkQtdPzD6VkE8mzovSVr|zuXgvk7;3hl=*2M#8;HlwxWR)w?tJ?X
z@GCqV%-S_L&tX0?D%ZE^#JAUq-*}-ya56>5H@H|gt)0+1u}4jE{CPe2kibJf=lipj
z(^I41h<cgT-_Wl>&&5ZLa;9*TnRI<nT%fI6RY}lEZ!{GL*L<_F$rU6KOUHgsgY}#<
zm_HPSqO18W3nSlO@#-CjMW&^j^|N9NxOGGeFVnEG9Jq)+k)v(WiXKy+PQ)TO*%9*=
zzYGDjcpD(GW;hTd`Gyi$`qUJQPvk}4Is##A^z(SLwn3yN6jPWjFyZXPCh_>eSpbhH
zNEW_fD9+Ry@C>(oGb5Z=0(nanuSjHTWoG@y6^hMnQFTm}*%*H*uPY2wV|3rM5TD1B
zKDv0H_)ho3M)1boxdksjO6@?!v-N7B|ACH;wmNNX^==ily&-maiuau47sru&XzA&)
z`<g4f`~QWGFF3BRhx!v9&Vq8d8hZzeQF_o-Xe)On=giPlB5d65*2tb=68K*QvFMOC
zywufyc{QyotBbcMbPH>P(Rexx6m*Y3DRw&~5%Z@|{2>PAoi=^Y;l}t(@@K6$a$PKn
z33rq++}!XJ_txVtY)p-rm(HvSiu+{(c@5ErlqVjnXgi(zxMNn+bF_%X_2XI9EWa@D
zsWH+zGm6#PaHM2J;;#}QLcv*N3Ci9d4JF`9@!!&RdQoMyfG*38`kcjbhMBwA1rCs@
zY1uE0!0B?upth`^Kt;vI8I4nmtm_?%F_9vD#2#J3mTy=q+>k<ysR<O2zT>FoeY`vU
z`ut$UgePZKPjRAfsuEo7nr^x);Z#wMJjGm0A(Uibx^uy{fmsyH3frXru=H@RD=+_*
zGK_6=NZ^t+l&+j$Dt}+&)Z09H%!e?cvjd%u$GMLTueQTKVChgRF=c`>E25T!A^~Tt
zvR1Rgvw)I)$YG`7401OOPQ{iSqg#pjZmfwTzIOt3+Q#H|X5vM1bs<ptOt<g+;4Ue=
zU+CW?DFxa)2Tb9wsyM6`s!Du(4Am6O6NDKQ?3!F8u5a%FcAI_qGkQ|>kqxb8&9|(+
zK(J!Cn6WiEGyX}Nsrd9uNsaJUk}WrYj>y$)$gT+#4Z{=v#;OAiNJ->*$w+X?+PP<y
zi$UApZSS#vNbWJe;wTkh9ql<C;^Q;<^{y`K1<%loJme%MtG2i(h(TA@cu-7v5Kjb3
z1K#p|A9sBd&Kq}L%Tg8ebwwGDj_GGoa2I6pm{jq}=MS;}H?pm9{x4*k@<hg7*9Pc^
zU%OSC+|O==_BkI=6!RKR555(FBJXGq<2wD26VB%7Jb13-t)RNM*y*CxNlWD;yF2G;
zegO?_QTH_{u;!-QtKA?`a<qu@*40?6u7_FV`)zv=x|-&|(0jsH4MMyGQz2GWY%Y;1
zuQKn}j@nF_V$_~t2&Hj8!Di%^p?~xiD26b~CEC(xWMrN|Y0PT&aYYqjkE!$o6DxNc
zecBXFU=?fK2FdU<K_6uhaaKx4i?Ow~zC@#cbfocgb|2$$+h@dC9Pm&v;~?kvkfL_W
zK0P|hv?2H&GQBv+2*e_WDrym-*8CHIniGqJ=n4|QE|EqE8O1RDjL6Z65AbY&GPArV
z%03U$gJL|&DCkp`KNH+tZww9D6jaL2wwK75g~huZUU{C4UcjxA8J(-Sqe04CTHvHX
zMxqYgpuZXR(^5i#D#J_BzFZ|ci^y~IVo&78|E<E1#MayjiY>t@-rq6vuw%Ww^O$Sg
zpE7+w%Rxxxi`oW&M8`m163)=%P~t6p_1zEAbSO}GGfHA8g{SeNPy#jg1<>-1L#YY=
z>6>6kp*^B=rSalm_#m^EO5D#FhD`W~ceV&nyFt1H&z2)u?8aVxkTp;~RoG@pjLj(n
zBWjyuGScdJ4Ch*5zM1`Ik>qZ}zlIVb{fja02WndiPaID6S3VRU3!Tr%M<bGSG}26v
z{<vj-WP-s+-PT&^L7Gu<H#bh`9vH9LO_qAv=*egODA_;ktIjNFgTjpS2Q|Li#<|yZ
zX|b-?HPnFVFz;7ZEmijh$o%6s<kV}K#xG8{N50&Z#a5LP6}9`1sU6ZJu-UJ2?w(Y#
zKD@4DGqZCzP4_UEe5-YKPsB<zlB!IL%etcflhw-pQ|Iyh36qp&%UGTw1F>ad-<0+W
zEg5}^kCRui#Z!*H2Xb^lYOTm05CaYb+Pn92F+j&+C1|Dmiudv=^Vq+v8x#IB)>xoa
zx}ba<1^*}EqVTa0N%ic<+vdl%Q`6SCVSMdP!4`Vxp}G80C^8A`0Y2{s56w!UY6THk
zeEWWeJ^V2M<#0208$&l5a1!WN{~Vg**1k9Iyts}4k{>`PlX^GJB6|a{?A%vNeshel
zgMvtC(m&jfeWQ?H$qzgOc{KMBlAW?{cd1I4y+@>oa_mWnR?{^RayK>hzMWm<wmvQ;
z**z&NQAM16{dOXg!;*`HZ7qDCq$KSf*g8UX_A(+WH2|7n{PN+-((M3$v6J^8W%Ay}
z-dXi_khkAsab>qn7)#60A`nd!>NKjKlz<YDa44y3c!|M%-sqTCQA^0$5l)kM@;^##
zN7~;F0?K!oBTTfgzI+u2GR7gw9?%JQu0%OOVy^s(n0(P5uF#NiY8)W>0AHW1k8#Zp
zc4`H=95wRMn865#3RW8R#jGd450mTccpjQF=q7sXMciTg95NFX4#E?&jf(p!@kzbM
zw_RVCxxt<t>cqjJ^~R9oU@)0WO}?K~o4b=FmNDj4Kr`01qz(1g1TV2l$Gx&H&RYi8
z=%m?Add?Tc%SqA=F+qLj4$7yP{f2PA&c}`h5xp8N)QWrk%Sg@Rw2IP+i4wZVEf$*9
z<byxA<A+LIc-yHbXbz;(X{~*1CU@N8uJGJki&I^Rf1Il7Fx647tuXy=tYgd*al!8E
zeY?*_EpED@F{j+2lF10Bc!p{NXd#@ShyN1H<f8L8ls!knmx&on7v}jArNSS`vxcWW
zoVuPT*7Y0#^Ie_IH#C;7-XqiGKeK>Fh}xZa`I?%>V#@T88ghyf%WlDgkv!V}eL6O<
zUmNa?y?Dy|jGp9}!pU`d77A5X!4;`G;|&pLiNI6<Q78?YJoxyTVfO>{C&^!h7k4`a
zC31;{IFA0bs|v;iBuOpYba-N@A+d2i?9alz@6T1-?9IHYaI&)-6kf`*1h~F*2Pl|T
zJ5vR{=^HcJ|BKH^_Cx%<VHI_Atnzl6twB4;U~VSXaI}0<Nz<mYz<Qw}UUCtq=4(#I
zfpD6|6YkFx`Q=Zyv4ujvgXQ>jq|I@Ab3*j<WO*{3WzWKA9BNBRjbKz*vig^0Ef`s5
zRF=LHBXWdD+fm7%_fAyI<<z04O%=cq2DQw%V4m<G4`EZ>VSTbTZ2`ma)~;Yktl=Qw
zNC)O6jsDixbl%qpGV0v@d!b_)qR1(q8Z86O{4t^jQ$hvZ0c?58=B`IbfY|dGh0_vl
zq|-ZaC|;&pZD7V=rMUTO1p%+MGo+)9gwVihumlPw%RZKpqdxzO5f+NEi5WMa)H|Pj
zGI0oNk+=791HhZHgar@v_a&FRU5`~39CB{3L%<5lO&@MEufIHZzc?^LJ*=jR<(zMx
zEtkY(#qIOc=_6e0eQ$|VwP}ZOWvn;XT(PnX|KO?&cYBJMtC`WQ3Ih`32eJFmk4OKR
zGaK}!N#}|C@;(F^G0g;aj^T<y(G@oL5+vFQejLe9@wTRJoVdx!api|XH5OK%yW7vd
z+Q(sZrws6z!%cYsU}&Cb*G<N3Jbh2Ki^8o?Ve5Jttn#B50Dk=9PuH;@U>Rd49RS1)
z0jb!-lC&m_D)ERhNv8rTO!kbX%O|7(Oc!&c1~FhchBiW<vMy9lK$iE;r^iqF#wf#D
z+RoxTtHJa`P<HlSp#b@)A46%x>_n5u%imne5AXk9T*{}^2G*b+s?o3bseb?EQtaHG
zxD=^-HmVpT)6pM-cEg-I_06f>58}cTx8cK4WO5{r6M|ha2}NejmeY@q03@<H+l2(?
z^;Vl&38WM7sOPwxv%fa}>EH62TgPqszV`!6ek1_1Dvc;D{;7ingneN8a&@vp!cN|E
z9UpME+3vRyURX@$VOScuA_OW_6_dVqS!(fps1Sxu_ZqI)OLy3>oOHANH0LOio3LIo
zh!|k<C62@uW7m-qaym*HtGP0b5zT#gwmrJ&woBvGE-*dw&dea>Frn24`q@?zs+wLO
znr0%w)HZ0H3hF@*lwSr*4ZW6WzQGTbk#zh*@z5?37pvO7<gMEhy`X!F-pZ>{N1Um>
z31h9Y(-@jlqTWQCzN&MG&qSkjcd5Jgm9e{wyhAld;mx|;|BIRt*R{Mqe17{<I>r>o
zcrW%BY4VGMNB&EorH4=_(N0eU5^#8tz~Q;9N2^@bx^2XRZ4RSok}8%xf|r?Inr|a^
z62UUxvhK^8V%A{ik)s~P0w{KKrXl(74Db$=m8EPPF#E(-mFl%d2i+pVQMCF2vgKeL
zq3=Zbp_`+5_yZJko<Qp#3TjVwpS7%ZEe>ZXFpKz9Xjz5NQKgw4P^?v-;AQiUSTo38
zgtlBBG1C7E-2ST7U*Oonz*t1o18u`?#x$o9kV8@_7wQr+yiXo*AE0nBck_pr?k2eS
zC5Vg--wR`*Vk`$!YJb09RJ~xvJu;Q}&29}{U^3)W_*>KtBw4%)VYPUC_BOoBj9SAi
zhMtN&nwOb_tOP7c(Z!5C)mkhUXy*q>KZ-830-Zcijx9|OA`^EW2-~#pJ+qnO;x#Oe
z+#Q0IRq(tVAXn){elsj$wONZxlN*C`>tZm{NJWXaNWFtY?q;11gIjAaE%tYZNQw{<
zny+U*EOD~j-G$)u%y>YxE)OB^lc#!oB8WS0!K(?hq|#Ulh<{}>h_U*#%tP);?^^&}
z?*AMAM}<QI!EuDW?5~tf<rM>c;zNZ>!KnnjO(1hPALKfWd#fxR3KpR~p-)WqwM|`c
zSq)wDzQ98g2=<OHiVn$QX`uwK-vE?KnAH#e?;pwFuzLoYSY$3K1&XR@M!stWtM2x_
zI(~DxKRcQB48+>bI!kXch6;<_nk3^`a$4a#K%xC1!?Z)f^b9ROu6FtdHp1|3L&eL9
zjmmOoQ}g=D=m)Hj{L94!)eFn%ja7R(DwP5NO+kLefl7XKbEXBz<<eV;)yc^!rNq8+
zt4dy4k8cDT52$4A&m~2p5@6343)qd;xSSGSc6OgmDX`BiYkKOn$FC>&@pabN+a8^0
zy`ZC2>*YuyL|)r%+RjcK<a_jJ>i+gKF}6Dgy-9-IofV-kndN;jzav_%C<^FNCL+cs
zRco;0k^dNrJmeF+4E-k5gQ9kFcuv_LvSH^v^asP;{tQ5$3|=eYTn%A*fsDWBMxmbw
z{KH^u?3^RM@HY&tc^?=$_d_z`=KTZN9V;ERBb^g4stmuCo52LU_xhMv61)hn)+ohZ
zpqP+ed@UTYh-SM+RBGGFdCP1RbGtI*SZ63dbEj;|idc04XX-@X83`-U3F(QlwiFL!
znS~?nkVYm^C8ETdC-OYT#U1YW#r+Wg^;O9&`lZ|~d$|MOs()!gTN3?5@Cvgo>c>E8
zitBa**CsMPpZfzd^*|@*og|Z-rwQ5;0R#S=2V}KBJc&b57aH!7-G+ANR0_n-?9F>N
z_CJvhWe;X25(??U`N#FsOaUB=%!~kYOe$!q(NPtJ=STJ*!1r(5)W0Q1zuB5kaX=tN
zY37#J`Wr#<--G|^g@2PZf&3_dgb8USHYe|o68BF>@^2>bH!KUM57ZI@cPGq_zj4~%
zM^OF^Yy1`0rGRW2sFRZYr%wGdt|dNzP<vGC`HvF(k4Zf3ybA=1TiD~i(XoG%ZFl4V
z`NT){zpSN$VE`D9cV4auf3Vd*BldX&eEA+sD*4x~=c0iCIeapp4F}}u-0rfnvO494
z;sOG`n?)#v0M)XX%5^fCeTX;$P6b5epPnN)9n5V50LaM+BO{|GAJmsGUw{B;;}{tg
z#RSkncXu8tjZZ5_{>9z-;=KDiYZV$A=L(d@_%2JnfUs-GkqU;c+6XJ@X1NN1Z`P|*
zbk-_a6A4jGQuW7zj?3~F@B3XHKp~y+sOWZ3yZLZ4*-Wd`G&j8lAj8eT=bs>V@cL8d
zd9@n;Bt~(+e6b4)+FS*AKqaAf>0fV@s{cF-U?-Ze6j*f!XvumhQUST5=ji}jHd}+Y
zxVShVy@W$RppotD@;0{aeSiGfyV-asHSc;JM?~4*hNW5yVvN|NxiAAL>o*^NX^-y(
zk*8b%O;W@C#Vml<eFPxWZN!ojKw%~Qq*x3O{AGRh@GQot8}*k?_&4`;H{IWJ@5=~p
zF<%#5YB-39%PQo-YC4kHPliF?Juna&7IraX15i+OO;;;`<X}Lnz^lmC!{ZKB6i<)N
zudGxb{4j)T7rWoD)5OGAt*djJ*^ShLnjA?iV?lt6tvz%abg?(TS=c{F<)A%LWv8r+
zIovm>b`RW-rW4S&Lcp(?TWbKhw~RZ%Iw1H0gqoLk-}+PeQe_EMn;vd<Js7qZo4sqt
zD#Ho;iz+HA0M){2+eEr>Fk`6EJCJ|?V9ONRQDlIw>AzMiCk=zrSkiFP+xi6|dG&bq
z@vZY5sw(0UkPd*w4#=O`s!c~bIWSwd0nvOMw<}}H0zQx1JIBHtEb!7)nL)$=K&ZVk
zJJ+bOUerJ+*G`Js{$61|ir}TGBD4}+8-IyEnkI{Ind1wo?`&+Q;A&RANRJ9P!(3le
zp6xAZyqEzPj}?vr0H8jt+bupV%<(4(%FSiOf7wNc;K?8(ExjIs9_P1YmXW(TnCyOk
zKB?#p6itAbBlyD?WaYQs=i@2_o@c0h)<x=-L~nkyYUTZa8+#A9dF76y3F9BTVG)N4
zrz)_tom)QHnTC*uEdr|ti!^KPMzf`X$_`n-Qmfv{H({~La+Z;asVfA#EnRMwT;_wO
ztBEcdy<s<szFGtW@YA^j5VIdbm&gs}b1l(AzHl|m-ddffj2MTZHQnrvZOTYsk7Td?
z3^l5MfvQMrdNIE<Pg$ntr_nW5u-PH0sh-NBG*rK;bc3H9y^zV-_TugCY-IhGHWE>4
zD0zH>j`uwaDQU-*Z|xkgDgqGw1H7b`u?p`iz`ZYk=4(aoLN7yu2qhDU1b$~7rZazr
z=S%L>v_DxwFzsNQK}trJ0R0UbfN{J5JYRbn>irO4;;7IeEnaI8qJ?p$^K~qBR=~=L
zSb+IyL+0zxmyf)UJb(-Rtm6i(SP@&1&k%{u%L9dz+3*Z5CTxCemR}CQn`X}U^y`*Z
zbKkTa=<B9I^Yv2~B^d49htB3@;M_~Hvh_`rjJ|Al$78jKJJgeFR?+dS>@x=FS$5q#
z%}O(jP4Or)z|E`yb7V92z{BSAx&uTi<ArKWF!X$UfV%tvI7sPyFozAjw=?i4>2+l*
zbebW9KIZ=61Bmd~16yns+?dzXbA5bk>i=ip<3do!L9~vDB7uy%?|bNlJOBx;5iKz>
zanJfwX}GMtL9fMt3D8b`SmXCY-VgT2D;+g~&aVmBZ%V<^c1E39`}q}jkF?$DkqJ7g
zE@Hdwfr?yRox&3a?u4WJl*v16!N@rw3ip=w#d#L-C=3k-)a!Sxo~xLK@e+d*Q)7EG
ziemZsYKeAiV2sxXT$yT`E{`$8VCSO6QZM;{4b{^9wCJ*oTQcpjjCRq4c$KT(!}#E;
zO+Kd&b}p(xewX2vt`N3pDFbf;;YYqwC8=tW0}@pN+QEx5R(4X>yZ&Nf%8Vpf$i0K<
zV8U5r9>?<@20gLk2rd2XIa9@ZBQFvF(6;9)7QYHPU}3pSD&@q=>K*dSBjkP<mE{W!
z4dnsIUdw`)uLF7GI33?3s>yf&t1UbL<~!BnMEv=UJUVJ_C16eF`vt@8fAW_Zg7480
z(Y^A<P5+5Z>|J9`!qeFbmTD!*h%VVSBjV)CS4QI$Jge)1`&X&tc@;h1Y<D7usyFu+
zRb1AK8~KX4C~&R=v*ksghNhEl?~<fOWhcL*K{r&}EZW~v)f$CTmJCg~Pj7NLtz*)S
z&{$P5K$fa$TnT7;yvz+VHjYV~ozm^3Q#bH%QH|-)(_5`}Qw`~)eesisXX@dH^-@4r
zq1W*m5agZ38AX1@dYGft=IrKrirE>9K1$6x`$M(@CmnmkJ4Dgg&rnnK<7y@g4c9D_
znr(q=e8eyG0QFv=_Iv4ka4Wh<7~b`A0D;w9&2aw?pd~cKrkB5wjHNB==Z3#+-pMbx
z@_n@<yb(>9R^^!TB&+f6aO3}z1SC*fs*RntNJ*8lI8P?7O52bOjOf%#3Zaajp8z~-
zpp&uOioEGqjqU1_4of%%P|<s@tgLXi88tfYHHHcG7B&OSOTGLTGbTF(QP0GkkIhxM
zAJ-kxW5nm`e}5N%;v#nuDw67ZE@t*_%iE<htt;K(tj0vqFG`2y+H)N;=jP;6%j30b
zi0N&#2Wp)sT43~&bwJHF#pGAr7wMo_j6)01B+`3lNgVblEtx!kRs;831WNG@urvuf
zAMQtv)WaqK6oq)0-UTWvK#k7AlP9&P1;C9d0nX-lKCn~!$1dIr`;hb-CK1t002EX}
zD&o+T>t?b_9=@ch#f2>k+i>G&ex~Bu_EqOjY;c@~YI}C1(i=JlBbcMzQzn)D8FO+w
zi^Q$4o`}W5Im^q*%IaQ?t1e_yl9KoFP99esJS#J7fiA|%onI@`mut??3PZf{6Qydc
zgL6OUy2ZP~qVak*+Oc^jbbd*m<Oy>z&4}8EvEfafY$UO|?pv>S=3)}n$hiN4d5kK*
z412bAk@R76LtM!1kd6A~k=NN|`k3Mdd#%A<AX1s6^G5TTM$qVO88)`zvRSlh-eSyg
zuiYL2iSDDUE_dn&Rm8!tUk<$&t=`vtI=R=Y;e28S_@#Pd5pZL|py(SaEiB)y_&?Jk
zlor@x5YA(a*Zf@#S)7%am^J@9l5I}rTeI1!{oxK+`4Zo^NaJ8G?n2u&Ci3jkz3U{a
zbJ=^F#G(>@y~~AG9X5Q`?Ax;-%6S~jT32|ErsYJmYjA+b;sRIh&w0K~47_hG!Ukw{
zcdbcM6Hq$iRLgZ4XnV{rD!wj<*WQ_W9vl=tyP24oYE8^xD_>8#Ykj<256j9U{ghht
zg@EUWm~W!NP90C70&AD8rT&Ab$8eFsY^Rh?^=9}!Y2OdEVoh;q4}htR8Ywi4Q+Nm`
zQ3X^J)|70GD)p?SMDh~|bPY@MA1i^73k%fTym0}=e;aumRKyU8M(1HK5Xm7na8U$Q
zoHLSUD-s}$a>E`#GbKe%a?28w25;!tQO-zUAqFcwVe*pt1+68Q8o{ZW+Fm%z3zAAk
zF8H#7Z{cJQb40!|7*U3fox{Cux;WYGc-@|rv>871rX%c%d<}vYQ8#+wL*1$ke5WyQ
zzgT+dJn%%#dp#};HNKgexl+_EI@wno0fePJJY6IliW)R?UP~JM0c&tfdi_%tJuh`f
zY?DWNQimlfmstP?v0`ktgKaP0deL~}fMYXB(OBJ-+Oo;S`{sKn+~?Oo9sbR2-c9wl
zvqO8szsbRqv{#Gh14%L;Jp%Hor`Y;XbvYCkxA~+pR5R~a8|ks(O(<6?JeEX{+;8jO
zrBPtcIpF>FF5lHQA6yc%UZh#GXe1$s`6iWjp`H)BR#L%a^g3c7eUS^oP~hFH9>HXE
zo>F*szc95jyZX@0Tcmhj++nqLBGWm=cV~Yygp0(URl-U1VA1s;uB*8hcZz!oxmxA;
zMTG2mV5&I40<1S|S?p`oC0I@WMwLoEAo^HG3KEb8YQ9{ZR5H3hHD4vnQJ39PyZcHI
zxy`uMROt_;0%c#E$o|IF&QQUSWmVQ)FZc@H+darJYt;30Wh!D&nB3Cdv;GS)DIY}Z
zUM@tu(m}F_+e>VqJ}ulE8|QViS@-TNw+=RWnB%coTw|$EO-x>vTH<y#*Z%VS$a}-M
z91@WXzw0h~&WoZbeV_8lleWh)H2F)vUl51&wVJV@*2MY^YgH<rN8)t-9bTkHpSBz3
z)51%q{*yu#U<CvekfqKI{xn|iKt?F<R3K&VuI2b)=!3k)x9@<3HlzDru(WH;CuyUo
zrX0M6crK}Rnv&ewOOxZ_JCP6&n5KO!8y}xTY9lIT=l9JSidar_epN0DG%KXc7LkCX
z3usKsG+8znInx*Nl6RsUudNsHyRj<u!9gl>=I8{`I<!Nsw%$Zk{b6R9=fA$aAe)-4
z(m%{%4O$j5N=$GPM_o&+a<=>-oRz%hV$NX^fI&;GQ5CZ9+Jj<sna5juW#iZl#!(Qd
zfA0uX-%BJ*_o;+AU;d`x1lIT4^x%NlfwiW-{K7j+Rp)vJv*l^dKR-RsWxUWdf-JHv
zxU?;#+w@ZAa03qq0H@Q15l*Z*td+9yFto#?t1To9In}E9Ozo?P3GGeqXXpBWRa_G_
z;8nk|)$94yx~mXvFH3E*-OmgN&MrR&PIPBCeU&<@dc#2s<H$0zMu@XyU-)>azra?r
zRN1IT<vL>54;Tf!KwVoeuLh~=J}ziCx?LZ9!yB~tvOeyAwwjlhH|MsQ?92{fi)1<7
zVcWP3WRVkq0ltUDSK$%$(yU10kN=?N&cgi40?KSh()t7*_bOMja%Oi=4_1l~ZA)ne
z`|EKG27vZ*W4vE^<Plh(%zv{8tn}<uo&iN)9rNCwDc%?kfS<?Q&J=4tx5KgSqZEH&
z_7cCCp5GxBn*P~sWK5e}hYH@FIcsD<T?o}67a<XzlpLZ_>$(jm7!|pc-kW5^S+3R9
zc-TE<JicG3<I5Yb;VbXH=toJVoAneQsu`q=2sLQiu<Ua;SP&?%sn7gwft6J6oQl!*
z<raw=L*y%X9V5sUubV8%-AMhRXmQ`cDvG(>{vJE*Y^*Hed}_LzTWhE@LZ^rVwPmqn
z{&XcN1X4F)9f1<jlyel7HLX)Tbw4LgNrV3Wwt&&K0bY!iIL2wCtL1dUy7~SBC_;+W
zAf0m(Qc{NQ+Ta_iPX!#@xcMT$RI>T@J``Qd*B|_~;GZ7_wPol6SglxLF&+6<8Cdpg
zVjOmJ4@kfz<NND?mh|j~y>LVL-Y!_z*sup^S$4+z)utg}+0Cp1kDt%6`T?2ay`TLR
zu*%bJzUXK@Xy3qVQGv(@a(WpZQ`CF5NVLq41U4JI>UKAyGT_d4CUVV@iq{;?Xqv~y
zl}Bz&(7-d|_VhdeB3GC-ZZMvwov}Z|EfdRQQyy$XW%fwYG=+;{Y$W>*IXF99$4*zE
zge8Mubo`eSgDeu2`pMVZ$;$G}YyB+CM7gW$6JuL>VXF~E&WT48@vwP}YrfO+E5SDx
z#rL~jhj+Z8($SzAg&B@e#=b&$ww>5ibO+!&ay+#no(EtN6#pOY-ZHAHHEIKe?N&Dy
zWzry_AcAztmJpC`X;d2Nk_JT@rIAKOM7lc_K^o}>K~TE8?%Z;W@B8kb`}dCFV0ez~
zz1Diy`_6dgGoR_YHT^kZF0~6&A^YEqXi6z}tSO-R1s8X^?M;x+d3X-BG&c{G<QYDo
z&n)L%EYD-(`S$H({u_yuu%23b{+x73TGm5lZgX3Vp+_SoOPy+7TNd-jiO0CGEq3zp
z+$z<obFIq6l`w+<<R*WS;Z<!D{kO?dEp%>E6z)#!fu(!d#r7BV2TeoMD;V?dq1=q`
z-xJJ{EC|1S3W#{0sz=5x19slgUZ;IL*Kqc5)RQ!Zg!r`jx_?bamviBrhaU?aj-LVs
zFPrvV=X{!qs2`epb#qT_0BMQ1DAitKZ6G+QdDfscR@DJ}Z>>{i!i|GJrlsi1zJArT
z22|g)K3&vcg;HUc8YWBH=>A7Tq+1HB8-uP)*oYKmCr3WJg69#yT)EQ7Fx$HsKZp|(
zd{q?C3V)D1xQt86!$z@s_gerd??wJR=<ydW`1&nVS9+54TDn%nNpH4dy^hwiQ72h+
z;zqdbKCXo5=oon4XryuJauHa_HB%CdHeU!W=5fht$&r-JH(lw~!oh#AKB5*BUie-&
zDyO9T8pmAeTf)`_HDO$*hp+ojULKwMXzEaC@TlQM?J>2xqudk?C1jUna!KEWKrDB1
ze`b*F=H6r|@$J3U%&3@q<>Se27iq}{X{UNzeLd||tb`v<aMQQr#2h0$KKAz8p&u^!
zi3^n?YF08|%}mNO`7@X98(%|o%OvKyrKP#m5y|}p8B<?iId~mF(|zY5P#mG1tdUF%
zP$a!`z3*ibAUTeDUY62x&sg!teH#%)j%hbjJrIyGEqVA{x*<3rzE^i4qWtU?C*oSq
z;3|5`(s&hY$-}M3Ra^q6M1S_gK7DbPs+7}@#c$K2W<=qxro$7yCP)9dywiQQINE0Q
z-@njWo*bIcZ{;Tvea(ljHp_Yn<*EN{T-o=VrUDglkG=Xsfl_S(w>^hGf5+O@dU6Sq
zPTK3^;R-~itpgH$8ym3*Wk%Kq$~Sm>1=J@_oiDXtYz?s*J?m>1&t>_>oVcybliH$q
zraxnVUa6PykjcDaUHLFj?>gd+C<FsPwW4VMknCkikwlls4_<mUWkTk2Fv!c;UvS}8
zXplv_RzaN(-~?$ZS+up$<*F?)oOEf~c@I7}rkk)6FGWw4ZIXS@wq1`RAiiB3cu8}H
zB`?xu!Jv<Mg>1ipe6TS2RLjKGEyBL9;_9De+Kt}F)z#yV@`J`zmS)*SVgYL|PU9}0
z1U9ROmc@?xIXloRx+Q1RJquWBH9<;!5oe|H-Me=Q)ILSIX>o7O8npIBRrz7>MHtm9
zgNONz9@9(e0ETnHEX_+Aff~a;9DZn`B~b9~Ys*_qgN5uMDx3elX-vqJ0x^o>ag<ko
z!3);Gj2PDAf}5)Ctx+<80}SaL<u_XX`NsdgI<XPMPT+oc_Me#JKiEN*7=?UNAY}T4
z`hR>5(CQrg2cb8O@1069<vz}9bqd$?{Ir|;FPs;RDdnHb+<e#nj~O4s2}+3);75$+
zIARzh9s?q1%Jza;7sG#=Cx2gFNf>$w{Hjyc|9aHlTx0kcqS&qiw*}nA?{)e86n;R$
zR>8k-%kVq)`~7`XvSk>4cIM{mf5dTqqs@x=5dYF6(*8EBq(-1YM5Oy%;s^l5#^l)h
zpR-&RslVt`W0UAINp^x>(w`a=o<|T39w{klZd>L_ToinfyN)8=U&Ka=f|Bxesdv|t
zqyKeB8aCt??Zo6i(dn-{q!faspj=H&o4G^dp5~Xn^XCdF@(5wU8I^DJH0iA(iG}zS
z3qr7H^Y4(u&H#%ogd2VQb1fPq5xX(<MfmU6Lg>@vf<H7>hC}aRsgSC#|K0wRNDQ%V
z@{u7Hya6>ddZy@Nxo0W!ah$QzrHkul{`)e#T%?b8SJr3B-Hr9J*Fx@9Q#&zaJXvM;
z5)=`|_m)$we?PwmJze5xKpIKT2|N!Xn#8IJcE763vt)9;WMXYsf4>AgM`XImHK4(-
z#cRpjK-flL`7Ue?X4I<KZXEBeeI}08i?j{=1JU9cBJLhrowd@^(t_s3ALy5f2k?4R
zpSiaz+?-Y?Efz9AgEQ9d^uzJte>af=kjQz<``#AAF0%YlzeoUR5tQLs3z3u$|8x`o
zS201iW430gN;1y>t)(b>0_ySq%TJ+&MTjtqfo3NF*uJHyiS>suiLwx>Fa<q5Jr7TG
zs;8&tGqaz9{~RfbCvaj;wv}~A3WcEcm+?bhYL$^io8yt_OLtTk%ntv1Y{xjUpQCpJ
z?|D(l&Li#S`aB?pd%&K^geb=!@n<?c{BIvqN(S;fc4mh8-PKbL2o&S2)ftD&1*fqV
zpBG&fu$Xsbh{oI|BW*T^X-jmRN$<Q`6G`u!h61tvz|D7>F(*t1-{qUe3}tdOi(11W
zOyL0k-|eM#%ooj#O3dPF{EANQmT)h6q;gzk@e9!}jlHJ<)y1PDnKW;Dab8?sHW)}1
z^0MLD=zCGmWBvh7hHMeozTWxGwD)kEDfEaf4=J_uR3h{~#&)5D2&<QOH)4xggvKmM
zJ074W)y6I3O0DQaqY8~vx369y`7U4*U5N^N23v<)r$G^!8i>UW5@I*bD&9hrUlqBd
zawbj<n!h{|*ym{nLg++xwCvU<3+96Zdn5Cr-bbZs)D+CK8{MXoy?_iurqQRQ%HXHm
zz|J_xxKWd8o@KAN9>D$-?jxHZd*)J`F{5IYbh?igt@v4@%aH}E5txL^7DLX6bIx$Q
z_WM}EbKFAIy(YS0`C0kcp!+=0vG*Qe$x<<>UN>tG>W|H!!ec=;uMFtORZSHndf;>?
zOEzW(ImkK6;-lnXVJUaU*ZcnYWebEb{>f=aHNsRWW5eTuC->e9lKP=DK$b-#P0O41
z&xwc9i=_L$YgC1*60yz82eH*t_)pDNqO;*}{$HsMJP#IB`k)d9<!2^lKfZnydEG%u
z9hnLdu7zz!&;7sGmyN{16KtL^5_ny@_hS7q72bDDZD8-X@y_4hp+I<0v~!e@4qrY?
z?sL%P4NGTAjVDJ;_l_Ih0+QGRY9a65zlUN2KSY3iQ<>X;T@<{fQ((bm9XcJQ@t;7k
z1^RUcAt11N{iUHHirYFltpPgIPU4c0fWFSG05sWr_P+#dm5lw}&7yGnKQ&p*U;bSc
zC6O^qgvIBuf~ixqu=mD-7|j80XmIc?ySe)^yP!+OxANs`VP#^XyOpA1Sccqh4~-Dh
z0gz&^DA{3kDmXY8drnysvzLf4cj+|YID$umwy^R(M+#zO>p++XVWJ;l3ewjv`9LGs
zgHK*jw4*MYns#<}FUk00`7dLW;J<d0k5&AyQ4xjZF<fSksY>$NFC=CC{P`0?<3jV%
z+gSUlr@=i0Q72O0r`#S`Z+|W7{;mX<e@%9Aq{3mXXw=o|+sEgV4}-$OY%G^8p~s2v
zyp(#Hx0C=BS<ipRzIjRMKh3BuA)SN0?YsLAV`E}wOPK2uq;-F75-(uFxDp6cD593S
zo!5STjpMNuOuxO_%(@ZjYsD|{x(il*7D`ul3|qZc{&q>?p%KuZYq3%2y6^bo-7hdf
z_9pDp$&WOT@KI)n^q5j8yZ9RD>n#EfO~1qptp~?4?gm``W}L=eeUqZ}h^mS@j~%hZ
zRb~w3<W+e+%%Qn<30BnVTSyKH$?xImiL~Ncy^N{SLH9({Iv?~%su!7Q!kdt~R**Lj
zjGN*vA{{!y|5{5Cg6`>r&<Mt=`T6r_Xb57W7)~XG^=qe23}An~J+j{QTEe}%in@lS
z?Iqz>%}MgLgwKFk`z%8qOm@+(y@<6VR98>WvgroyMwQU-LOD7LdH*A(GuIqyuZNAG
z<JPl2n#dB<^egCzMV{MX>~Ro+yZ7J`*MXKMzDqgn-@bjD8#1}M@7w`3)32wl>;Y8A
z6Z3eqa#&-W+^#3>cO2kB)t+yp5F#M4f5Pwm4nBl16xbxWSz5ScZ;;Su#2F7tX5Z>b
z?MaSvL@?vT?$=oUeC@4e)j)G&(*+8WV$bzr?gIt;^C|TYV4Hr$QAj^5hwMsV89^!d
zDHm;C5S=W48adpZ>{a+~V{?r*;tr(6c5-s^Q>=9-V8mtX+QWj<W`!qc^quf!uYTef
zc|-Lfd~dV#g+lq`|Curr3j1loC?N1~Z1LUJfU5>ACk%fU7`{4sQB#KW4e~ZLnZ(EL
zMFG@l)RpoTgX>R1YiMjj!Xh2MU?MK>9CLt5mX>J@NIiTGllz$2LZ2RZ>OZ>ys)U(Y
zX_Lc^l@Fh#0*?@_iRt=M8BLFuKn@|dj(;pRg+pe%5C^;$IXSs4PXIC0i)^QRZ`6z@
zTNBs8>6ClaqX!L@MQh2Wzs=wzEvN?mc&t$6>hga#>q7)|Ib!Dl`?KUi_4Vu5J=qkv
zUH6_463w?wM7bNpcp*0zK{wBE3$*{jR{>m(ZF;spE&DrG9((5Q%a?nCQN1u<@0Z+M
zVma8tCJD(6D&Q5<%EUjm+pie+V~8zVk9U}gn)~pjPV9TZ%Dzq?#?pWpIs}X4JBg{&
z&$SSYpCjb~sWxg_TK)Nf0#<|8wc+qT2+Sd}Z^x&tz_}U}T8X$UbPf;p_sto8F*E)!
zcDwE%PG7viymPVJu}e;rI{|N9g5!qqmvd73_&*p`u2@R+vEqn<JEjBH!6)~5H#+H9
zF^|bwVFg@bjsTVe-9uK1vb%qnzfTCNah&_1ImT(e;PIDB#Kf~kiN7RnmO{~<33e>t
zr&02Vlpdf(oDzwC^~&%~m?o|jG%@7zy_x_58x^ZE1~fUbu|j^hC91ElFDNLOrko);
z38HfXe4ow|u`$Qcf4$)Nitj$=kV7Y;snD-Qgrfzzxy|=<ZWk)&l4Ar3P?m@lEblE`
zce1J%gy{W)-O<C=hK6sPUKm6Lx}@WAHL|oSpyYgun>(tY3{cpix&AzUQ^~WXMIe`;
zypIuB(7aM&i>VTgib3%G1Yl@+R<j|l!%G(;IbvtPFJsadEX3nIiGU8MKUBLVjR4UB
znyXR%n8T%rp$t9$iYfIQBZ{5rBwxAzoV;|LKzZ1zi7}4X{-$Ximp7(kvw5o$r1@UL
z-W=R3l#9;!pk3*_4dPA0QQ5|!;!R!JaDc%~4MLwAv|yDwZJLe7{Si?N6L;_CeC$%|
z_G(LpnA{E^mR^>aFTd{X9-LqeqAT70z(eW-(tr>yzbA2o_NDs_wm?ULj=jOnRj}a`
zmAea9t5Et$B^Z#@xlacAqCHNMQEXj_WEy!CgC9-%_3Kwdqm{=Qs(Di&k;H-X#>M8H
z`hQ1oET$TIL*q_lO8j8_Wmo@7pdiVykxRfXiQ;UCTCP2JnYlW_0DbJy5VVp8G_c64
zg@P9jl|O9+;?l&r93zh+^)PHO#(<>}Z~`&rmD8nZzj;Jp=X-bJXr-dV(n<m_D_<>6
zu?H4eQbq<B7q{N~QS15pgodrJ<O>Z9BrvxDut`ZWeJ6JnNf0xk{X&Y|TfXC|FXMrq
zuP-bVbLuqbVhD`{C^I}zvH@$>kG?Fk2$Yfse0A}pD@~`O-l(47b6orR<%^iivr;*s
z+u5bd6pp7bwheXO!zeAeqdSN6<yl4VHKB-8EbIgO$F~+0yN$+DU%6q)r7(c?WWfpQ
zIzimp`pga8T(g+DUYuh#%;PFVqZ`ah)b~ZlIync&jE$wZd07_{NjyA+AIUjXUFw48
zB0`DZa|hFV?J-8R)V5g1{B2jdTp+u%wWVd!<guOI#%pgfKeBU=f3%LI8XmM#Vq$_6
zDg;X1@$S!P>pOR_^;$``x3`6vtZ3ck1}T*A-Tp^bjdvO0NxDAM&A{yP;SyY=oi>rZ
z`t|<7`r5yt80PN~VN$ybO)1UZ`EREm?RWS|kq?2l_r`8-=l@Q{&|mN%NsCg+IQb_L
z{x9K%3xUlaSk#vJpBXe<36f|8m#$U;nc_cL%&&_H#=r?Ota9V8_|IAWiPSvLfZq>t
z=!SszzYF|M?NO!>SNwl}AYspqiP`CYpEUI)T3WhwVf>jOXjoo;0@?zZ-_qVxLa%*J
zPR^OG><2=<7MQpMbsZCMua~Z8Q{hP>Hx`C>fdvIP-OiA8TgG1b^gM{Z&h%sqehI$H
zFdE}{bi3D>u+J|-QwR5;S5#CK2ni{Q@J~d)21zXS0^{dob}v#u^a1@7vzl@C8FUvs
zbf|RJW}r9@YHl`ASW!IS42NnM*tJC)u{Mybv}4X`*TCF<qBI`bVSEP|UN8Lo`~m`!
zbjZ@c&1oetWv`c%l)%<-aBv7P@!sIcq=(<1;lR$o&Kz7+kpbmpNu7<kegNTmpozbU
z9oJRV0jTr%X}-R`nD}?Ho9Qi~tbL~xCq#=bOEo7a>R&STI_n+<C$i#*y-(6eD=^vj
z?%e}f{B;T0ySf^8U;6uhx=`-2Yln28A-~rGmwXxwZ<V={y+sxI)T<hJ<5duSz%7QG
z)M3mph=y)U9bX>=qd;z&w_+tK6TQ?*UIko?$xqEg;K(S5ilM**kohvWLe=DoGe;;A
zy$n`d1N|tN-^(~^+vgZYkByAw=d;o3KYhb6`WmzDC@OeUch+**l<-kFh?L1FR)dw4
zUM;5#^L76gToYv~7XkHB)RjHx+?Ai$MITFWocYi<h8!tKd)zWt#yNbnr>}*g8Ex{Z
zJ}--~TK7;#a=TrDUD<UDzS?%~`HZD7MKR9#^XD;aJ-$ytltMs|`my@}@{!H?#$zQy
z&;++#$Z5}1z9iU@03PQ@#pcLrz1Dx>!3A2KF7x^2{ehFW9`uPg<dBG$%xPjg+zd19
zcb+|~bwesVXCxTxGN_+;dV2#oYErM&b)-j1Jy(Lor-%1@5Qv1`%)>cBtzEL#A#q(Y
zjwihN{sCL?5u$?DLoMN&>qV=`sk1VySSiUJ&M3p4u_KVZ_;X-ei;V%3!(QZiy&#s?
z|3QIng-k)K(wVzSdk}b<6;Adliy)BE3|3KE+N>u%YW1R&p#%xbb)nexFc_S030gY=
ziznhR?n;5M@73qp+T!Ne$i0v|-V7?4NktHUgBR*?=nbnn*fBXJN@9te&f;4vHLg@G
z>FOcrE?1f;e&RG;rn6%(MMx*TH#mAQHF)3t=upy2R)3K=c%=A^EH(4Ne5_J8f0iSd
zK4whCH578`P^@i6@+V{1@@BU+oVg-(*5M!mSxfZHAl)G_1Pz*BeT8QLwTu>J`6r-^
zEa!_6=q1MIo(-;iRR2N`Wk6FBt*Ye&ocmiTc_U%(rD8T38M1<ocWJQjy#4|`)DfK_
zWspw1(+4%5R>!Q#jQ*%9^ASVyvy1JYBbsiEJy;m6I!qD|l|9fSItuoM6IqZxZc{0e
zxJq3SsyUq@s%JDrgi-(;^-vSTfT&CF4DV6lF(aHEtANfRz5;?(xJlPdw5OxzpC?O3
z$$z``b3V!-{?7jRt-F^KK(84hW4;BA2ssRo8>QbCZ_pCG{_!-EP8*5WS>lMWu-X+(
z#Z6e`*t!@_^W=D<@*d2ciZeuBin>THH9qddZgNN6dM;~Y{ZQXWDu!d5rGx(;3+hoS
zf+ia)UBA7~Ml}{#4Z074-&yT}WXU)5(WECGh&1*V9wCU@7>6siT+)G!6(AWLs~X)f
z5*r@g4Vg*SJW#B<`?;{M2|!C9QZDb-T^K`=UJ?ElVz=yYt<w(2k1O=tC@QizT=>#Z
z`C$Bgvc7PArW=25R>f?Aju$#V^mJ+SxAKj|qmnGR(XN&A3eHa^b>42VkPDvxcVX-0
z&R1<ar8IL#xSH1kXn<GNn@pdEVj6}$M#VrC<wu2wTLB2)+#K!$44^|WlGo;EHQQs9
z1{h_ZNPUvR2R1MCk<9v)y#$@#f2^nFt*l56`ebJl4%iA}4Q8&K+8D4hI?n4LawpPD
zZ2hlWl-<NY(G~WobigY_v6&6^IRr|wM`kWPdLOu$JB@wFc-l*xYO;;iPq#skdC=@S
zv9CmJZbnj2oF?_dIRDT%`#3#=oivY(0a{_v_Y19-L}99htGAv-7%?6D_Z{${$EvfE
zY{wp~VelS30*X0qsyBx7LeGygzkZ03fa1sF+XLYmE&E~H8?3Z9qqlyrh;EwdSjpxI
zWi3iwk60YaVKIF_@8@pN$lG+?J;RLdnBV-p-<cW40eO^4p-tRpH+H)_ecdl1YA@%N
z$UR@Duk7?^s(hu`G540&dP=hASYBA<BT$~+^29OUU`cXQf~<wj>-$qPAWRwsCTFS7
zm#=SSDU=LV2vo66F7~F!mg#k_i{f&nI*5BqJ1KBXCogl9*}1OdEB=e;qT?tja4q5-
z!X5GOm;BMd1jpI2)lXPSo2<FJ<pCOnGnfh|cs6n%f2Cfg;nQz^)%czF0qX-+AM?e0
z6JPUz_~E^N>!ng{W3e#Xr7+x57R0M9i}_;?c$YLWAp#nWlf8=uH-s)zG{C$-S&WYk
z|M<R+3eN^PH&xLytQIAT-UM$Ky4DIzYX1GP`}+Q4r|iWZ(ub0yh2WI#MOB04zI7Uf
zbn^=Rb@!gM*au2QSMW?Iv6XAC9k*e0W{M6$DP9Kz^{73RU8XwxI|zZevRGRg3*^y1
z0nzN%=}fJPfi&Jr;r>xZ59iD57}b259`yD^H?716cRnWCn=cxTciowOx8KT^V!K-?
z-jEq@V5)XlU&xr8D{=2_jp;y<`B-6&R3FM102vLI*bK!ZjEQ0lxy5ukSkww}k|do6
z;*b<(YzKFS0O_+L6kI4ifMkF*&usmfpZCE>WTPmVLlWr3hV?&3>3z{;;d_hgYrvt_
zo6l~r!XW_MV$jt%&2oWNp#)4J=+#$;?XFEv<TIH^b$<qI0)z^I@-Ag$>cnAWXZ7AJ
zQ-Cy-SZ!C?SA58nC_%?W<9Gyv!Y2hx2Z^mj<k5-2rmptx8X6kHvb)@u*@t{Za?xX6
zp#ng#E-T2)dRHzbP5YwtaDvh>n)Xw(PKt_M5sV_Y<q7V@_~;GVLLLYz9SXJc5S4@I
zB1-Mz+QYk&EG-#Vjz0~(bmM+C6Ppa*GBVA;@~VNpKA;ms#5T5{yiR(i<h@SNi@?Su
zKRE2?#obEv%RdagCy4NDHxWE}M>hKGo#Tq<H8so9`kFY3%4ZiU7gE#AEJqnLXD_a2
zr9D(H>$_la`~vZfrxap1uf^z)C`$fA^UIgd{kUirqTX7uX@7fL<41E8>uR$-)lyj-
zYg_CFaPuWWb_%2mXsLL@>=o3KJUaq7oJld#<)<Pw?V>oayirmuM^OsqC&ew)mt(P)
zXH!&Rry^jpv)3;XL_O{@2l6<E1Mv279212j(9YGYIn3qc@Z~x|U#J9p{!6ZLlmTla
zD8Uzp$#74ecTCC5ta}6>EVG->1ads&O#R&>7p|KooJf5S3<?eR4O(&bW80;Prns4c
z_Y8L~odY++w0Mq;Z>#UoOIzDF|JLa|YH5R>ww;VTXNGsc-$+;EtwCLQD?u`zC4uB(
zNFN0oFaFYb>^H$NM!18Sc%?Qg-U55r-S-w4R>&q!PIZy53KW<hl2l7DU(PZ9`C#aC
z<yj5(C%#vnM^NK8G&ET9o3=7y_r20oQhI)uW{4-KCXf{I%xyhQ`vL1HO4j0p2WKHe
z=SXsf*}$x$1SSz6cv-E<x}YmxBwgAf*@C?6v{7q&(DO;!fb2%(zHbpaIv7RGjP1#o
z$Lh4UMUCyTo#Z}vqUcltXkUe#gg)hyZ0z`4V(zQ1Vq2a%r>SU{u^{7(dFCu6S7n3A
zI5lbk(>R^A^X>;UC>-wn5U39TaBmCj4yRizX{==EJx|laDbA`p`){23M~0l&2dNp>
zLjFla&^I6rst>8GgD?aoj8)RwqsO)lxv-_wN#l!-{065dRO+!^0gW5OKDRGYa0Fo*
zvS7y@8`8CLgc3i6AXE+*1a-PIz+_qDjA_xzUJ<Yc)Yp2~`0JbO>?Mrq7-6g3<kV&|
z+0ph9q(t8odWtJ#bS0FdR=>!Mbm@!xt5->w6pac)pz8o37gX&lw1)YZ0jJgFWo~<i
z=Q--ON7@m1K3K#uHs>rTxKbg(^ud9U@|8|+A{Cw`f<$%=#EzowYljYUk53puk?~hP
zwM2<NIG(_Rs}zLvm(YIcXeh4hhZ4qABfeiTLE`%y$0n(oEBE{Sg-GFl<ZgWT(Bj#A
zrOYh9-sIn%kJ<bfyz5ibFH`U*ojdx=lQ2M+MK9ge2P^Tv{>d}aeFMuo^1b7~6{$WM
z_s8eS+Md082P*txn1WJ6;dpe`-_HvBy0>D#ATT@&$Q~XG7;5i;duNZr$)kHB5^}e8
zmjHNd)ob8a)kqg!sc1x&<0X$|{4dSTj|co68H|zncjbgKJm4eakyy)Z;o;%&1qnj#
zkxbePs;j!M;N?+6WFY!9b?3at6oDaRiq>WAyZDe<`!Va-{*&*1gO(~1*W?*FWV8%=
z<nt7(BJSVt0^HOXMkgNuhjIytUG5JfyEZ(pvwS4SRu(<|9XDX+?>bg@!Xoll@Uh&C
z!b!~fesW`q32T;WeYWLYu+rae#EW%*apzR4sEi0j1d_+*XSUPm1&OO{8?TW>d{tJh
z<c-4im|w>8fmJ#ud>0ey<iH(}Fs#6cB0(yhf{UtbX{o7#j-r87Xsj$I%jqdr#PAU&
zBPNO9ImvaaS1FIc;|V6UZ%d;a41MPQwOSd6u0DzV2)OYOrl{twE+{B~w9}XQ3WkV4
zL5VWNwGh1VmiC|FZX;I{t=%h%XmiDoA#t#~at}`!9{ha}xJmdEL=6ues{5K<>Yr%o
z*ESWi!@T<g;>7L$14x8G3N0P-yoc@YYo{1MenGSZk?7*hdk9@_yRUcS%<Gb9*l^S+
zY&{R@pyyp||E#nL^2=c?aMR-#hTSam4Gf&lM$dtQn$I=xwpaaB;{IL{y+Tl36%F+g
zDO~3FWngU75nK*#yzHyG07}QEGh{jZ^Sj?M5`k$+NlEGHH&%q$A0i<aG{DU?dXDCN
z8XfJ27Q|aJ6TT-n)=mBQUMN1`T)s5BFkHsU!eUYC=y9CPXs(7p(s;D8;*w;@Sy&^v
zs}Nar$(m67T_G_ZMDhK=FKa&Jmq(c*vd`StJ0np_^VL&?q6GFj-R6$T#@~g;dw@_j
z9=B)DY0nwB5U|Exscj<f`95<27LQL95|(&%f-5j#>F9k>AaL$hZ>d36HS$`>J35+Z
z)~leCTAK~K1Em<raZZK*#F#&(H7fLW!Fq3q${l1#Am-I(6i@v_^SDK!6PGzxE`n2b
z108Gy6GK=9*B^^aLHpDDG`C?mlhnjurgYUUTVQI|FHi`6K9o!peM#oZ=wnkcdIuCN
zse%-d`6szPM5u@UAKd9XX7S5SvZDSj{*iS-%j3g{C3(go+J9~*hdNtd)Y7scy5OCO
zpM>9ABhd%053<S;cS%O=o!RQUF-1)+fK}%TE(G)cSqG{hcVtkdwcnJm>ZaO@028lx
z1vV#*gyoQ$h=5a6L60%}*7P&G_TRVS!{O1NrvH}j3Omg^5f_(y(V~f{uYoij)ffHY
z1OG2i<6%gcJrn8iD8)7I?OTr=`T+{IcrbJ)!SFcg;OqXb=3sX5HSG60>s{x+RtxJn
zHBw)}*uLX%KIGifDgUgXFoihIt0#}lrQ`V<M%W~k!Qu+Pz?k*ER0Dh;I>h>J=9Anf
z2^p5gc0-mCHJB%DXG737zltj&E6?`Jzi)+bvM|yOK?#G+wh+cJOMH$Yq|Z*@a2m3C
z|DiRvz9qr|^Qj<D<ioN>PCSc87YtaA8z+MHx`!uq;*EBklJw{>l;=IHX)%RWqY<FA
zeT!(5E%Om6<6`H%n8KEfG2^u%SU>jbthVs#HY%S}N(xHB0}$N-9ua<amm-oNz&$+J
z*4Ea}7#O}}z15b+g*55ER)QMW<9^%@G0%fV^~*aNT|m~NI1fwkT2`JIU+g}@N4zU*
zTQ?*{+bj@j4Y3nlkD0E9oBs1U&tTrzgK&0H{3W649hei5FRjzX#2#;psQ=LKdJ+AP
zk%dEtvFf(piDZ#{Le+lo)fcMuH?zK0$LFl!35|En2~8yu|9$g#9{2G8Y`HJn`-*Dp
z3fziQ%d1<TBKRLAx(TJnNymIx8-*Uh-zN<7m+Y6AqANb;(NT$Hknvxzzmct4%DJE{
zb>i=)MyJD8sP`*}p>VkP*+d-|`E)gO6w(U{@rpCzG2Rs2iPP2F)1#uovF}oG#M*)D
z4;-6|dKX0b=Ym>PvI_axD}mm|$~RLOwL0EpCX3uvHZE(O7OF4gn+yqfFj1lV;qj4%
zBq|(Ueo9i8^zWld;eb+XNs!wpGlvmj))tN7leRI+DyC|2A>miCo$>tdVXlLx0;@Y=
zT%w!)+f$>z<8+0GM+`f-`VSCQ3F*Z-RE+N2S0Z?=$-Wy^%4jlMn3*-WVVkx%64UcR
zB|X6RXK@CL8tK<<lr+Qr0v9E52XWzg`5*A*zV{#ql2cJ${WF)xkjf)k#5#7SXfmqT
zARxAjiao<_^6AdXuo3@Bj+{|cg|cSJkG9_a%2|#qaWQPZH@iLxJ2GEdzvw43-E_Qz
z=*uj|R2u`qF%DhRF#cVMr3%_Y8b`Q3ri&UVq4+VlIaft$8=av-X^iBVwBxZ}isD~!
zylX0qnMW5?4bMyX#FCx;_b%{A#<Q4mmS!LsFY@;*I#8<G)j4lA)n}e;JFifdlQRCf
zDu^?!GM%l!r6}FntdVa+a@TP_dAyO6JXLi=e7JR<amHAIcjL?DTRD?SA3m54404>`
zsI<V9xt{dBuqoPEs{169lFJ5&4y>k#FWTE|bPZ-aE3)bdwWT3e?^5K|&U!NM>cz|+
zMHe60^R8&sXehiaf5EEdm5G7^@wuD*`A&pImYm10z{8GVGUs@;a~Lynv?=je5d|^5
zb1r-5&fU$57x+X3vTLik0vdW|3TlOoCDV(^0qq%s*^L};gDk%nYgWZRT-EP3y^+el
z6L#?=(qcWNq|9N4OZtP^r^e{#i%R7yFALoqnF@sL2bG?kJ;`R;vf`k`n%pm{G+UJ#
ze<(e8@-}C5$@uz7lSod~qaRB9-<tMb5p^inmtl>R8kiV~7&Wa$utv7sue9B6p*!s2
zRz0dh<-np7OGwWD@%sd!Xw$E6Qa9r*TQXdCy;A$zq8szIo@vU=o36VVD3@=zD^(@m
zUU%Otu$%A5ExT!vs=Z6KzgRg>oN;KbZ)_Hyk$?RC4tscU9D{b5z;1_jAIF_jABK01
zI~bE)$j}gfEmQTWi0`pVu%WEF%5Gn|XqrhHg9&|bP4Hzw7mOpj0FEq4%}fda*CR)k
zIE|DiozBW_Ev~dvkfV8HKdQ9)dAD+3ZE<#iw~g+aquaB&9@Y1ns@ker+f$#CPdI2C
zY{po**|m4h&e5BW8B!%M7~CFtW0mzG>zl^7i^|k3gPx0Lz6Fe@s>%$gu-uJ{=rD7O
zwYaujO14!m@Wg)H=<Hw&-TZF8rbCjfvg#DRgsvAD1_UNXau?}3|HnOiL{nsp`OKNP
zii&oVSIDnUiYAMeS4M><N3#faoeQ;X-6YyrgCT^wvw7Cmm8+5bZlyg#$#&P1WXp_f
zhm#*Fd@@*&IS6-XzH(mPYCxIq&_F?3YQ)G*Wvb8G+RT-WhOxq|sdT1ogiUJ3ev$e4
zoIlaH$1Fo*9D-}MoLrB@;Z0TRUN5DKLFGP&0N+%ox_P6{VNcqxl_L@d`yX80rSW?i
zDemAT+0MqeEJ#Vd2=z?IlAa$JRP<t*9!j_!eQRcIAHl`TSzszUlB#-pv@#|n#@oAR
zNI%{t=R);5Z&8n#YGluc_ohaJiLTcldCkfdn+2Ec@ol|yOCPv&+O#%1lJw)Z=;9qP
zcw!id@rIIx=z>3X>lIECF86KgHC-Ol_5G^lsE*XYD~WcW?_kFcycWHu7X3kHRzv4h
zVN@1Y;aT|(R#Wb|<AvD7>n2VSLVa&AEhrQ<V72M`o*MJ~ce)@1rwnpwIE?nllO9Z9
z9~kPH?{jWXY>s$g)l<V__M;=CRh=npcVo7<$XuK0J{2+Mol$7OX8$B2zmKu=zy46O
zdvtA_e92<<RBYa+z0;&<v7_1{fVoKjQ}*iTlyGruQ#-^UesCqB41agthu0Z#zerH%
zM-UQnM!XvM$E{pNWf$}nW?rT2c_H;-H<zvV#(r&&f(3_l4|!#|d1$t&a*=HuqqqDk
zONwI=MgatMvkcS3r+5l5F|sHu*mALP?jP0j>SM^6*>ktvRAyFI#z(_&Cj*zA>aU6g
zeVaaQE23sC+cg5SP4@FHrIZu-CGrFI);xZ=P-Gnq3uq48(3~wYXUkw1-E#Y&xtmmI
z)b_RZdda+6ytCz!R<oTpQ<*bsCrhV1F^9ClyG2~0Hp#Z;)-TD)Z%W@(iX5}n#4Io#
z6`Vo5J0FhNroUE-ggSecj;{B{?%J4(|3%&^R=>futMvuj!w0K=%?jrxT4K2hjO!jv
z70wL5PaSc4En+I=U#hn2n8vV}-;ncI@8|JWgVfs;?m5PrEriWwsIh=sp$gUmC#GjM
z-40mAv&-jJ_|5ya_j%T=r5`ln8!QX8F!;Y`8Y*tz7W+kELP=AwZ$0AwH*j5|ku5SQ
zGuKOuR#q?vrG4kjOq*0~Y3XsXB=n+}e1gmNJmbc;m}cN?lbvF@O+s47W>3@1C6i6X
z`Q?KCF5UUnV<#O`F=KA<muM((vzZ9HVOwm`{g2pozX+vm`YXEi%D*+S`vO-xYepP%
zrXC7W6lne^+;ovYXm4W}by&kY&6204X=%`uS2f`meLE?z#HhbfIhm_5nWe(QaKW@K
z{BZwd=Gp4$XLY(~xLYePzkjY0A^C$&Ixw;yR{d|hJSK;D*_Lqe_^=6G+kHDOBOQMc
zK&3r?;(aMumf1s+Gc4AK)DRcPC+8c-S$B@AYi{li6iAr#GMWSjhbvnMtG&d&K7A!K
zVw)+l)VSDmJwtnGLfzbiMKmsAdF<l=yLOLjMQ-Jr8yVIQjEh|FoV!@al={nQi39ii
zC_MnzTfNL{I+CAUe&vPz)cKYvgPD{M$LCLd`kJuw3mU&qAlA@IL#HgHmX6Z6euc6B
zOtTDfNBI}58AO4}GwxiJ@5J-?g3mm&*&dr5Ox)tuc1v;W;H*60IKK~|51IrtXI^{~
z32mUl6G7yuv~awQTIGGiwNmpsV1xF=u1@%`VCcxF!q4_6a99Ejk~xJbj8KWLI07%W
zZ2~v+C75gaZgJi{@%M`%DrSORyrs#jdJ`co>Q2%n&S@ZZ|F<>7m;+~wIjEQC_eFoi
zAFI78)6!tF@#NHtfTO7G2-@Mo%u@J7C4UTGObf9=LG_YiDVm?GhKlu%6M(-6!T<si
zs%z~3qAo`t_rc8aT&{4<)%xecM{bQm82*X!sr)}v-Htwk=dp!B3Pxw?W{<pbIa+73
zF&xNuTG_%JKJM>P=cg_?Hj-&SDmQ<f)q)wcXm}3pa;m+v>_79^j#w`P4xtBp;Sx<d
zLsoTBhXVUZQM*F1ZUBlJ3w{}SUs&o6l20m8+xy_H(~H}=O~LVn@^!vw1)M}zPSb&|
zuA=pL6g8K}$GsESu_5E1jT}4anL<LOsDkbzI|xm9Fg#|Mb@5$qGVZpa)!~c%9HYT_
zQ|-q)ABE}~&f}v_V!wqc&c+|VM(yBvAgN{BGlMQaGADbeqCJY`>^!=R^F>nuqE8e?
zkB6C<AM+6O9$jHwk50cJ?lsW3t9Dmmx7~?q%oZVErKL^T|KluTPjgHP`%Jv0OOk8F
zvN{!mFohrTJc3lDkLVsU#H*U~C7-$AAx_F@YIJI2bYoIf5pA?EGRZa6Fo(T+3cng>
zPAbk<$?A~9+;qJVRZ9b_P^`gmg%LqUmu<Xz@5Y|hYUJUo-OaYDgQ1C@Mm~JQ8`vL4
z>j)Hfsp;HX^NF|$dClj4%2$aW@P3%4V+EXyZgs|FfeP<B;&i1}wq5<e{N&(OcK4kN
z9)0*hJAtH5fh6_FfGk_-uaEOqIh0u+*nE6lLibw>V1t@4JW!iQnZpn!N_g~Pjsc@v
z;7tUM1bT+^K_o{B9qoF|&}>#er#}|as|3h{JDUbN*yTnp2P{n1Ud@%4*x@j_u%3&m
z1>K^tEp4He|MnF<JoDS9s?VsouqRGQFNqsF!mc2rP2{g8(;|sF8lM3vjeJ$S>ZvP7
zvz#dqQjnbu+1NQA0hAQtD6xIo20@ePqYZ@v^IW*TMcya;51qXT3#0$7v+2L>Hb#R<
zklu9%F&_O7va1y9vpL6uxh-XMT3(Eghp^||dwTq~so;y<QA#N^G8+1piXHaW3V#^_
z^f-ZG*bd{(n<Is$>U|HAl9OLtzC|@RoGOIxa~nHpG4>6&ob<ut_YKARhA$p=P#z`!
zo^W_WExxkr;rnoTgoTBruiapkwA1H!4tr=Wz)Mg{Q_9xVwwAFSi>m!GB2d0cKR-7&
zS06X+926FCEOzi4LrdNz<@<b-tJb%9<f~ERyPcM->RbH{A`S8vLGj?*+2YZ?J;RyY
zQ$#<Uwlh}TtU6k{!WI}S7N1q|kOQ@zjJh4UK3k*ug&Kbeg`MV_L+3Tq%U#NrE$Ye%
z5u<Q|dx(w*MnKl1mQGfy;Qj6DD$4+Ju4Q~fuVqPi$?+;Og-$Qr74{t)x!9QH`r}!|
z>%f2sdqCy(7Yso$jS5o^J8+!R6z4RR;-bX7lv);J0x~Kc=L|BIFAq*Rg)ot;{!Ed@
zz~peGj>T@7q+dB=e0z$)C4^;-X%UnJ)%y|>b|a2UAL%<DHsH+FybBhm!ox7&@js`v
z9vPW&FZV9<p&Q|60yz=b8@07hi0bHDb^UTkiNJJGl)`GiZBl=G1UWwmaqr5aixj#0
znIF4#cYTWl3{gEcoERTo_)g0rU6vy|OVJEl@zWW_Vc%+OL=MmTX7!f$Vb&%i-yTU9
z^kO95f^Q`jk}y5G1A-TD2Ok+f(Ef(bup!JkDg5^2pFKFk`F9WEVgHZ$Hz7XoVFJcN
zj9wYM?|1Ls<>|NV%;mL34~LdL12tL3``L-PxgGn7BL1nVsaYGEl`o@J^MFrNG~#IT
z+3!NjoM=`(DO4Ru>?LTQ9o^AKXdvP|gVzmmrRX<!Xg6rCui=h~j*kBL@gr121{+~8
z$tVztVYD+wJ=64Eo~)*31q=%|2sGzrWMrhHt5-Ul)jljOF2)p0pirAK`xQ#>StV1^
zU0q!;J+GLof6#WeXMbA8jb}P36o{=uxq1@n<mF2sTv!2vc|}1G3C46>Dt{MGdl_T5
z)n%nbfBBNJC0JbCHZewUKq0=>3|ZwYkLu2hUcpQr761`(N&b*mf>84_XH{5*fo7O)
zdemB17YwFe0%G>Lkz_d;xvJ6Kkxih)Ybh$)G~cSXnIB-U?PV(cNrhx?bo=^71WL1~
zml@e5u;8`gWcx%P;b-Wpun{>B5z&}*jnD%|myECL)p0pt25Q5c@b?mhg@qBKcaRo9
zO0}}KKAWAJ%W`V#(R6LsE13b=Cm>H@$(3L~;sES?``f0Ew?W;e0w&0Spjkg~UoZnf
zDrX{5GoZ6_y4NNs9tO59PDE~)w!fDlFR!g!PxZBj+gYxBnyZbZ5=&&RYFGFnq$7hg
zNXtBWZNh-rN=CC8ee}d(-kKmk{6cr<Gt4(B5Ie`<Zr*4AHGa4pMm<uJM5jz0?C%be
zJ^qH7i3*ZgFJXQU?P;B`dEg_HInCwl?CikEaLkw#s3jJ<saH?&J8f9Zsub;J<S%yQ
zF{TBH!44)gVrRdEk7D)EayTAOP~As3btSbdiMl;YTVSffsFRkkH8SiBn-RVbE5Zfn
zO#{j5-m&K{uwNjybFI*?kB+;*JMsA3@}rw>98|J7o3YldmTIQR?54M~k9C@;8wK~r
z!`a<N26nQ~&&<q>xbB)d=jrCW`2;#92Ze)XdGQ8SLfOx^KrXuAWgl}nJSUVlxdjA9
zl|h(oFIbf93g43@khq4i6F86(a#2Pqg%Wry;azKHdZlnaKC{ao^~BGeE&F|hP#q}o
zA;8eRKNBxM7JxOwU0PbW^NvYt$9OiEf@wxB6bEllQudacG!LuJ*O=`N=CB(Iv=6#}
zetipLd!iqEjb6gc&UQOkO@J3aetl#bBUPnh{YW&5)0~Xg+t=Cd+?|%)#VV$(tWfbc
z5j5_EwtDPL_^4wZPwk%5o{FxjdPsJXEwgQF*`<EgJefH?t+Y=RO?1BsMTK_>DZOCt
zCs)N#nAulqAQ9Q4d1`RIRjjF4XX`kwv&~@-zxu?(i_3c7fhc!t3#f(mQJV7df-MjD
ztGWDuWphj|M5FOKOTW(`Y*%$Nm?6wN*lq1oggGq@c_NR_GmT8oW|n0F*@v=n7xcLv
zzBH1oyKxFLzp}+kSD~TM;MA6f+iJ|{D<XMgDVVPwwjTA*+ZXU?5|yqnsf)X%Sf%Xr
z*7cJB|N5&TWRgdy(?0v|7RAz32WN*u=Ruikjh|^#;OB~g3zDSV7jW1TJF7F&Xxu-Q
zzo<PC6YBbscY#Z#7wBV2b-G1X{8l5ba9p5n{l+VfR-;uEie0UZjaEHushHM(XBfrw
zr58xx^`Mq#*i}|s5O|}=yd|E0Fv9c!n7kw}j-vYv*pC~i<?kT4f|V7l@jZO-Uhx>u
z<U4dyb=acfh~@*&QsyfW;v2GI8;#w)+IgA^PZKfOJ=x}b5MbS0z}u5e$i;g#=BFWy
zCVW6yU8l*HAWRghJac%kco_Tj^WB!{r3s2h-`-D7V<;Wpo?jZ!U;WWmKfwb!YX;sM
zAJWDGHXhbzIozXBcUUZ)y=gXG+h4a{3LN0Q1{v3nM&ijUyrbLaMjq$hwV&x~;D`aj
zH~Ur57rN%zAI?-}^;M<_4narbi!z$f8Y(<f1X6I6XSxuAp|<NQtC~hh8I&i8nQW3o
z<qjJp(L`KPD%#dBMG-%>x|kx&2fD|Cx-MuTNKiJw$a0-kABC2tmoNdn0(1fTH_VZk
zarVnKVE;yXcuzyW^rT4GjFO7xWb+cANzaXFQit!st#uxaTu%Zo4RD}OBmlR4gX4)u
z{(Uj~&bm2ueR+^*$u^(-{++_T%x1a+#_FjX=?g!>v?GCn{J+PIFdP4iiA1k3B|BSb
zWNe%6H$hi#Hx{UHo}-~S>wFD&82Cjvy2*NlX8on=F=m82GPRYtjk$X2Q2C}}_}tnD
z6G?V9!4d-V=qH2wl@*M#0mzd&*WWcg041vA_|?$ZnMk5@bCayX*d+Jj8AreF_gu!F
zvmadn>SRo0q`~O8#zS>w${b8NYh%aQjtWm2p?u6cPhp(~F+xFcb}rC1=mHgBT>aT~
zYebL81<ID9hQrI|GfsV@L7!(M&AgxU(XOdbOI|2O9g(zuY7AV{d0gg|_43u$-LEfQ
zZGcj5or;$Q+Cg5K9i5#R7RKO%ppWKmyXw~82~071hD|ri&P3)eQz{6huQ0hTpXT^^
zd%a7+^=(+3Tu-c6GlT1K=CY?QrWTd6yNc|-cfefT>XFMkN{b9{!VaAx=-Q>i6Gx~{
zt6u27pn7Fj;hGfpczXR0sYl)x)b)}hmHj0C_Mns)mL#kHHr-d8BgWkF$GECUdnuOf
z{6M(Q1Tl;!fi|1>`*5<g*_gj}wefXk`#S+Gg;Kv-aKS37HN&pp`SL{l=He*1NFdh1
zf_>F&ZjG&pFt2gHDn_9(G-N>aQ4^(_;b0oxOXN^h@iN!R{@;N214@dsBp0CwjikDx
zvl9|IU8rF8-Xrcr;38{0g6Oh<1$CW#!q2*u6)&bsc==vl;;);(34MQ{RboZ6px~Ku
zx(j%Wp!TV~!V1l922dR(No$I#Ai1quy9yE^bH=0J)v59iH{A|5VKUgGS_nia_Fuh?
zSy^3eklF_#Cep}={FWul6a3GnCW>Or7{6VZ82thz98?`m`uQ`B$(xdsuNtl`@H}Nm
z&D_TiI<X-tVoNo40ioVlxYT*GY<S7+Q^UpJ4yt#RA{8nD5-46-UzEyTnv#;zo`a8#
zu3D`CF}5?vScFKO!Ulhj`;wTml~d;lkUjJ3Cw9t4_s`WcMI}fjErVP5TKA2L4f<uF
zRgW^GVLpJjH)^br-Sa}V?h>YlLPO@*@c2*!);S~{_6&Ff9enoV_&z5*>VL@i3obD5
z64vE@5<jMXgI?I%oz23A%j7)1A&Up8ll_tzfZ5zp+<HoSQVXI?I|S(6;JPTsryiI#
zk*k(4v3eRpGPrPXMa|rV3*0SmyfJPZhmdw_L&xMML^$$yV-$k>>P==%Yg7aVMQcu%
zi>1z(WR{#z-4!@o75MVFD#l~FmSjNqqk;4qDZBCc)B~7bLE}oi?+jXm+;5AQ)h3j*
z%Ir*`XVAQ4GGgq+Pa_S&K5{McUhAM`2wCxI+$T0Ouh^?`6MfBb=KV28bGQD)sAwua
zKqBa4tGKj3ssgDvBQWe-l%V_fwu;r=VxqOjgBG$anSPq`RX15$s%Yj{M-MhQhf+Hs
z_PO;CNt%0h3#O^Pw`ib=TzXG+^0-VqUzB=mHHT98sHHCt?Mt?oeJ7f?OItaBtkwqn
zE6dZo48%%xv%3(5Mx#ur7hqUfvGcZ7RTh(aPY``<%Htb9F0}H4jO)SkXGDv)L}?xf
zglo*%RRS+tt_p$)ntgVM?EQ`8###!fnLkW_t51o*r)CCZ2(>|`*4tODTKl>{i2)yl
z>ruDkacrAB+9<FE+1c#6R*I^<3fV!$!>({rYu=lKxi&q1sx*@{KfhVJ)NRhUzno4V
zsH7*Oo3xDKMs23NeUW=NMC6M7wFT`L4g4U8B*nj=@zFQf-%zJRqra{d;kWi)VE;Oq
ziu5E6W5g={WOK8mij+^$`uaN1SGBTru)V%DefHmt8Qn{Ua2xbT%Qgl~KIFtiOyjwj
z5U9pfKV}sM{#npyxfnguKpyKA&UJ{C#M^|t&jFQRJ<j`>w_$knXH2K$mKu{P1L7+!
zvs3q+A?_6&zK7XN<lOAlLQ4K<VHDfFV-rHCcz+ry+EfL6F++syx-D(nYNGVB?GGO^
z#3iIyE%Vfy3R{<(M`e9Wq31R){1P4gXzega)p7{2^vC<Ys8is9Mn0hD2eUMaU@hLH
z3Vkf^Nq9J;Qf1tF$$`4_&1z|BDYPqGjAXe)9P;5?o56R6TYZ<SKZwPS?_%coTHKyZ
z&%>M9^N=K_zS$9HP6v{|)A@M(0gn%Aa9z<Vp4Ks<NHOS+9kzSXx<OC(H+A?Zj<qfU
z4WLes?`qfT5Tb?|vJ$Vj{8WMnz~e520GpYYAfb3lkdpr4d-~g)iuxBnZ{<oU$E@Xh
zxfMq!MO;|C=4w4n4Dsuo(VkEG_|;51P1*-m4IwmZPfzzwUras`CvL~U@(AC%9EL|i
zR?^{oYq?uRdl=j<@^a^ib^oL@=cNNqZ-PRjFmYsfxG4;X*r+snaDEHMLDgK%#Kix}
zXe`#8e!5tTrzMkON#10RK6m7X`y@SALw9c$=Df;pdmn3cisiB!yXYzFZ)mMz3rfr3
zDcgtfU;9vVkkVNeFE4%j)K3<WvXHab*wApRW$m9>P0RxEJuw1HdWn7G`&yC*f5{CN
zdR0`=_wD`e#nn#ww@SOQ8)Xc3k;-ATP2V5!$mB}Cb`36ob6B)ouru&f2BWm(xLC1C
z=I|Z={Pm9DPoZ3|ir&0=dbS7}Ew&-lp8r-+nKj|E{|(p8&>sJ-D}HljOY@YL4a;&v
z(ijn|esi_QG0mHk9Hs+!rIP2_aEi2?=Gh;k_ZL8dcVVc+#z(pSLcpt{IM$2%7Ewc8
z&{UAXZgO$wiZ&-5N0d;Ep=1|le-#4f$zaSWON;`{LWJZAfAkv4Vq9+R#OVjrS^b1h
z8;nCJAo?WKrDP9$LW{m(<6!iuA-|OBj(cDhN+LF`&|0JHaTv|=1yS<;dj_u|LH7Cn
zOIRsYWPb%^PXGFA7IYu9xo)u1#|64HeGiLg(K~fhRhVT&IhSoWRnL=+*J-((U?vt?
zKnH#EPJH!$qc6iU`09h`1wt38)R~&yn{{vE?;CEUCccXs(f3?<zI*dw;n!-ILpl{p
zccu*FIFnrCJPDI;V8=2`eDL)_Z{gI^uUaQYJ!y$Y+oj&7#1T72_dVBG9!#kh)`G%K
zy0cx-@83!^$`aqV=(6b4>bNm##clF5%pAs@QpmKtRgmFd&o+%co32YkeDO*~Npoic
z@D*G2U7O1N8Dg3i6_jYtV3R%z`*pcr0JLxf7SUzgV`RQx&b`G*p&VhlRCi%b9~yS&
z9HCPm!AVLN({y_t{cDIn6!Wbziu8}@Fzu3vj_MX<O7HK~(+e`fM<{KfquLOlj7I;V
zj7KO2qna4jY|-ya5lNwmiobqY`^`&v;tm{!lNayM9^u%vl<;XT4YsJG=ptwi8P>?s
z?{<vM4c`aPgM)E!ZN9z8+U&<%fU<fchk0MY>nEa?E-o&fUJ6B2c!UT;ow{LYH;|H&
zl04I%cyt5s^PeI;9)ZWLin`dL#jxi5=3^P&^1u`5UOk<VmYTsM`{B?J4Q&@h7>4$L
zw6tG0P7voVm`LdIoLvClhsWauH>nJ%1<{PX%I8dn+1oKyuD6e;{~WAb47=LuSIP~1
z4=QP_voLeI$Orc=_R%83&uA%Vq0qmoh(UL}2_UDNRc{)Z8!ByTzQ9UvLf`VqJg_)j
zX7~0!@0yI1ct%<l@7md6U-S?m`dDN{MBP3c+b>QV#D-!v5asw*evD2))jq8*UtiVu
zbaQm)0)mT`KhL(QhnK;wG#=V_2;9-2xq@gGRKW9CB7pSw#?9;J%oD!NpFRC)@HK`p
zxx@vSu9LHeE&$&s4>D6Hme7?{s}G|{RXHgk%;pfJ04$xtQ#t4HxXbBB;-ZiI(Nuuj
zO4llN#|l>iaa^}xI=t6Eqe`fZ<9ki?;>4AWfOjmyzxEZy9`e*GG1B7Ry)7p**Ow#t
zsoSgfK9X@g8ut&J6d7a)u~>+<B1Bz7mg2Op`2pZ0hRp5AbF~=9HSJ{La9tir-JHw7
zP%PjNj!a^r=4*qui7hqGP?D0_QWBfPF&ofipA6PBksxk;#bqr!a`n=N#N4*AT?-vJ
z?$s-)C!x-Dh=h)k4+9D+MFNxE?Kg!)*Dp_2eK0=Sy98m?#kVK;c=Ip-JAWD1Yod+5
zy^Op2D<5Z@?p5_ElFh^zN2Y_iiF8kRZ@CD?3bHWFbbED9z><t$I!pQ*$zX<QQNy#g
z`&HKa$-^;J0>yWaB6px^##aAq<`&80e-QWyl^(L&Tl0zG^E>s8$}+1TkugnGL%Bt7
zk~7`B=R8PrPuMozp7pVdGIG_hcS^(MR(q44+rz->`-XJ3Hw)K>;10B^m)cAdh^UY2
zT*DdTx=$T-4Phyjm|AGuAE8HVZ(2TGOU@iTvRwfInByJ2a?CMii*WxMb@y1_YELa0
zXJKe|e$iWreXr*RPk2A1WgYGgNmcE(c}15x4z8xohnu@}TWr>I6CXU$ufch4I(Jo}
zc<$#5T$j>!sfFLdYvOWW&WFz$2c0Rx;6<1QT>Iom4XXx_n$WCz8B!>Z;4+HTBE000
zLO`+2%1tjXFTbKbDQc^8_CM?$8}hDt+5M*;U;9HP6**juaAkvWyzz<;p1)D49I_M(
zpEyC|ypTUBqcODDh3y^7-J2!UGfs}{W;^}jTt)}o*)J2?L@y#k(!gKT1A<jH1x>hy
zDuHG+?(4j;LGWA=!-ICCN;xL>lV*eL>{E+LXUjPH?)}#T9^!pePat~ux;G-zcV)Z!
zr<ODy6+=N%7N^_fZFQ9?#VW>5`4`jSyoo{^199OAnT!k>hN#E!?OBWhl^Z|w-fQ1}
z^VZxYw>yA{edbctmPl?(Db8v*mKlPr0tyOv0o5t-Z)M1zIEqMphEu&~Jgd@O(9OT<
z7|;Kmcq&e5Q2Dr%YTJ=1Ac%IiJWjWEe!|wOsb~RIE~WfAB6@pzH(T3y4!`X6Fm@KR
zuW}!L*%%(wm%sa=RWtAK^ukj+#<nXRczsHm>YFcLatuZd)+Hw=mFo}eWh`D=RMS=y
ziM1{&jG|jNTFrRNYuDJ4oz<+at>1LsET(Is^j4e{gxJvn%_Cdeb^M2*OK9|Am$ZDf
zH_}DcdCAFccj3CrAX$Gwcm?}&H<v;^`>~1|Qfro*{H4!k!*P`t9Us;dh7U3nMkp1T
zhqo$!_xCCi_?)n3SCOK=2&%dp2Sg2m7_{#~x0A_?aV~3a8~;j-Cx35Gck+AoJvkwV
zDZeXa^!A_oopm#R`51svd9XvI<2Kqm8eMpeqGnap8Af(eySS%s@moU*YSFSVTDe=`
zz?N^l;fk%Hau{<goG%xIw{L!UwYQWTQo&wW#Qsi+Jmb2P%}CGx!`52>Mfv^l!mxk>
zN(s^+jfj*qNGPE+3ew%Nbf+K)($b9r(p^h8(%s#i(k=I_zxv<zy^gcvjJr>r^PKp8
zYNCjIG~Gf<p>apvJ0UXOXr{7DvT>(8<!l^JP)&WEbV$%5F?yZR>+Wi)9iukaf<zfn
zW)E<3-QD(lzCla+xb_RR>Rb+_q$GbEYfOAg9-SM{!_ETJ+KT;>0SwhSwrN==NW#vc
zeUTl_O;%3k&8_XD;q}tKCk64f1|yFSrkQ&F9_1+*(7wKnzpYfd^$UNsHJ>2$O=}6*
zV%sUMp~yY|c-sAn%$E43NtA!)4W8$P<l(hg?O+By9!xf5ANI!$d#8L`&W>x{I7{29
z*K?x$cu2RW3URzplO$UexE=s`6_UUQ4`)!&_?z->LQ!ln05d%%*B`O!NDAG`Ap+Cl
z3NHR1a|JLKsg$KxRT;?SpCPnrvrRTM`ks3h+g!rX)jv*q!F>3P8o~e0^*>XeDsKs4
zc^qEXT{n|%v3}ZNzr7%M-LJaCyYoeo9K^HVdTg9zzJxiMCsp#F@11h)X{%_o$W?L?
zDTnUbPkq4@r%!z2zU<y$yZYOsae!&MVPmlME0kSfGk&5pV+A#%&v0xl^sE}wiXCyj
zvd%$1)6>r6ceTh-ER?zNy8f0(+Vk*?@4dxi*vvtdBL?0othDq96t9%N-ve3<H=xQy
z62K_&+#1f<MbrYJ?%)qFX#jTrcEAswqCmu5z$HNffqp>EJQH3rbD!#Z*EB@_VdWq2
z24UDqb|~rTMnfqL;l#r}Q)xb=E<Lu-1EkkhZyX2W9p4Exv@}3PJBH3ZmdvKIXO6a~
z&y~n#&rc@BZbNs6i}?xs_kYS2uxfg^>X>jX+jb9yu;7z@X_*(oOYLdA9hgY+KJh8h
zv?5>VBes6O0K18siDz`$N6Q^MWS=4E$u%4Bw4Yj*!9Y)9WXeEM50Z%=aEghYW{;D7
z66bWsO+uc`#cI_an0(wgub)tITZIPU;pD6Uf!JeXzo|=(k1!=HEcQ$lQ=JzKwO&26
z^8gxaxbWKXjB@@|{51Y+2&g64s&X>?!y^PUJ2qm3klO~S4jkw^J73B3_^o2slcHs3
zCeksx-i`doM3qfKX=Aom@eGL_U2OuhzUGImv6#$EzF$cL8%?9sPOx@Ez2%a3uR4sV
z<L0;SnO|x5G{3Ba)jgQSYX<9<UljvIrQ5N}zpag$yYBmPRNl=MYp=a0pQP*|l&;pk
ze$MDc0G+g(58umyj((;;17M8FC}S$O;98UdkQ@vGEh<1j3W24DIt=OptUk1WVi_pc
z1rFPAL6p7brY5aO&-!m8dL-(;|8cz({oaKPJhJ`cz9B)4C^4YQk$8RTXQZ>4qTfqB
zMtfU6Au%gl>G~Y9eN^AAY#rc^3Og8Sf614ryhAiWcKCZ+bAV;~_jKud<?Z#4o^_X>
zboc!C?WnK!wu_^=8ynW=qVFdU3lYwsys7jE>f{VAsXX_r3V7mX{-B==_5y}t&k|da
z3bejLmtAsP(8*t*1T6baP!lp4!G?mSLx2q@rvJ;x@C^Y-r(eN{wY~4X@scL5=LJ03
zp4EL6bUe}%O8$kI!?ff&6C=28l}j7v#^d!c`;H>x0w+4_-v*khktn|e4y>GQo4NS$
zuidP8FTY0hlj<!+%)&~_7R`%~O~2d9$n*h7gnZM~)AKiXL&;rJr?3UFx{zKQDzdey
zDTDeaJ3Bj)Ygb5REQ0Lf&#}?JhbXY1rDz8rJ!iW(G9h4j$A&$B_={CFx3-eEZLQWJ
z>`o?Erirb*hf-ZGi_g8Fe_rGA+g^J9iDEylWo)u%mp4Z1OSKx8yLru-=WQ)zL9n}h
zp=(^#!|sxL+XI2xL1ecXay7#rr(IU6ilsv41iAwq1m!R}i&W!z$~LISF9_rUj>e7p
z(WvMWG_}1>TmpJb8n5J4TCZe|zm2T^T1BCfAkH?Phz+MtiVI#RV=0B>2aRd~M$RqQ
z+lcO%tsG5tW9z5k@m53LKl*AJcQB=z*59vF&@QyUaq6*A(&DUH`Pz>mQ4G=i=<-qD
zvS&0;+(B~1U>-@icGu@VL_t||!}vRr1=8=>IJ5o_rD4}FD+zICI!kk?uIM=_qt|`=
z-m8@;$aQx7=iuPrAm*B<@{jUE$*{!rxa}yeuYhu&!Pw9c2gic(1AG(XiSge92BNFC
zO+MSPQ^a{ZkqliZtWVLWE6O1k;V$Ytc26q}rz^FeA6@gm;$u_~Q+htF6`maK>eJX>
ze_Zypi2rOn;mqFox-Dhps$6`bU%hdI<q4E@ka9;k@{GRXYU52}=b3a*me4}Ksl*$5
z%Q0SVACZ9lTkCYP&`;5Wk2xL2?mrTr;Pq_H=GN_1-C`iR4iyA|);!}kO|dJ+nE|m@
z{$6IjD%`3M;@de$XY{(_2ts#a0j8JjrNaxi8#_Ir`%Mgz;4)qwE)*nHo?QIAZ8oe$
zum2hoa|TSBg-*^w%(~E8FWiV)F2`#R8hZACo5Ao%#zm42jTcsG>i@-QFUDD{TPQw#
z93NU|rE9S6@wUkL$<Y2vg<)oHelD{-?Age7<$21ZgUQBgISWJL1zXAUMD2x-`TL~>
zk7HlfQ_)jbz#1CTGGB%EYm^+vrBp}WuMi2H7u2tJSqqX`Tll60?JgYPVj5v4ZxFgY
z+B?X1GniLWMzXYWGZqlS%Y4{>J%Mujv{$vhr=sk<@__59#m0w|vh<;w(XaEDLoVuj
zIi2Tqjp5&Jc26SeueqOT-@P6(SH|ENo}LnU*aL>(+clPtQ;i=#Vj`|zXg{Z%y#nqs
z8s#Q9Yq+vJlzuQ5I}@S8k5<Ib^8UB^mxF}!Wp6Q(BhHx~dN9jax}0vxItz-pdq5Ay
zT~z&@iGAvve|E|iiYmC}?gU?PS_zb}Fph!STi`7$qy9A|7fV{tf7|VCaYh!mx=|uG
zRv37jV*HJMA3alllm%<j_GZ=)$(1|-eI{3%`1zDZLsK}z^qlhZeGoy@McFD9^BivS
zF!lDO!}cgVy+i+N@mh<A^7G)MlQ=-z)*>gOhm_FD$7vI)BWa|&^^wQA)cj2}^meBC
znh<dmTZaBFPIiTbc>OM0y?>Y1LvhFB_xq8QxJ_-D?L)A}oSZ-lgsnYEnLLFB2=JBL
zzF7jR&Wn|JlrZht#UB|0C4*L)>~Y6mlLQiF`PP4Y`)Kexc<0{Ch4FTPI!uJ4OxU-q
z%)ij$#kX4brmFe<6Xnh0E~Ml6yEE+7nlg{xo=AE*Pf*9^xt9ZGh23kWXV0d~j0Zq;
zq-EV<d!l6x!}_|*Aj0`U+I^WQ39v;hp@P%C6tqM1<?`j>45PmkU^);VKEsa}$&|>i
zi>BViFFYgjw@%D2H^%2Qcy|Qk!@qwR?{AQtSqtODr};Vcu?3!|l%ac&C>+<X)XrK<
z)01YAIDN3$e*a2K%5P_QI$7#6+mhE=n>X0$G_?C?Vs~XMclqid^^a1k%1XKIt}v^5
zt3C&PzT*}3CqFXfJjah?u{0XXj`EluCwAv{z7Z(acf7+?^*lC0*`hZKn?$&Qt7Yv$
ztO@l7`!)d^X~ocrB?aJVslNa$`yuKk!~naStfnt17{q@#nD9<UfsQ;mQFDMWe=8EL
zeE$LE{?|yhlDpq+?@}klHz@gJc@t1?yX2nEiI>ZS!I&-sHnErXNbPqKxn{gtXY4+m
z;=>lbkyp~Tz(ghN)fP7&z(+n|d~?yTQo;P!Zu{@gK?6``kP*)!5Tjr~)eyAJeY4JR
zx)c8SE75;n!)}Bxlb!Yqs!>G)nnvH1Of+c~Q%Y8G2LCq?ei3eiOZ(aebM<lF;{7k6
znLu{Si{rCL#$tbxRfO|TL5U6-%pXiwL&Y++d0iS6hH|IHg_5~=kq(33{}W0+itq{%
z)>5ybL(fSas$X@ddq8l+PwDcfdIrC|MH>i>*}DH~FL|ZHdVp{`AUScP#}Wq#zsD^m
z=E-3&Ir{4+hG;==pJpslp5U6}tJqgm)hw~xsNtkF@6PQ`Gyg0Osw8i*;h<9K*95?c
z|7UuqA@@$|O?u#`J;{Es7*Le19-Nb1=zP>DXE}N5u-vE24w!ylI1p)@137e0|3~Rb
zHHZgEGI#A`n;<@|ZLpvFR73!sDGLcLeNoCx;-cy(?x?^w#t$y73tlZ+)%w`?KRn7h
z$?pvfp7S*WvfFM)plT$fc^$xJ_xdiNgMfVDMZKYJZA*rFjO&==6wvhoPVJ*6a!tZ`
zT0q<So8W6g*9`f@Meg>C`xPC0Z7e*B+RK!3J(Lh8-{ROd(5MA0=V5L$`;Y!G&VU0G
zsP$mtL?r|Wm*P6R|1N(@^AQ$B)PqTn0WHb?Q<#x>+mz!O?<pqp*<1dDdbBSG2jDJy
z8-d?h(h1iyLjvRwIt~E#uE!~d`Q#6!mJf?TN$R@|ys?`UkX<*<xz3>T^*<H-x(LB9
zt0;g)rA>+Si}%QS5>43)QBjjK*isKT99PhyqN6<kH2^RLpf`CqAJc#QSOu8yCGe7`
z7JUEw-ejp^&ymLj%mQQUlLkRFaKN;$9@Vf&ssz-GwE8k}K%1jP3>DRrV!aoo99_iB
z5SU6!tOnjDS->JA&3ZszCPpENY*dtBA#Mw83>+SGBrNAn$Mx~J?92i7g)F#}z-A3_
zEkaKAfN2x(vcnIos0FU0wN6$~nQmdGK-~)r)^7!Em0q-g>k2@~j6g2)xIVK0D$KH1
zxZP`OYe4Vn@4?2%$Vg4yIt2wg8&A&MvXF%riu?}StM28Fd($8TyWDKd3}CY?^(PVG
z`TFg_yntcy#Peba$UA|zUOsRXWjMA6iL$1qrf{khLsruAZd;{>g2FN2a40D&Ke1`U
z=^%H59;;qrrV`_r;CTn!(!<QhLY0jO`jk-Z(+6|lbzVve#QX(h@Wj24<r{sU+;=A}
zxG(NjMjNNI3s^lv#7Zk1$-w6db6@-TH?WWi3<?59K3Fqz;GDi47sY)LPT`^3%{M}l
zG6K>D3LvWO{gnMD0(;<F39Mf%zYEF;^efK(^q&6y5RS>nljZ^fQff)rHxQUtYN{Z(
zot-W#aH=>nR^zbq8>}i4XDCJdM#sjc-kc0@Kj=Br>@5cvSGIOa+N7r0Y{T+%*7Mw4
zKZ_VJv!&LP*#l3=L@o<kn0>S+{-0WBg1C-i*t-rq(w<te8Rb50p(4}dO(t-AG=S!r
zwAzROEPdN>5pCtA5ZsKLfk95l1lw1EFU;4Q02;R%$qcD?zz4~vFU>}u8p}lXJmt%K
zeW<>?k)J*JjiF;Ki~X4!V9WsmQdORJy#PR>j*gB7fAuTxDkwBnn{_w{1WsE34g}cP
z=p=RZS6QMyS1a#~^De6Wc=y|#NVmZD@~cIC*{_AW-xIUTd?13b++$Tk8*a8K8r9?#
ziX=y3&nE(9m^qql+0grarzuMRhowjb2Rm$`V`Zpq0*JCNk48!BjKZ=OMHdK316~=V
zj-&`&GaH96;dYz%=ss6eQUabLd~KLMy`Kgbu=!0r%k27j>7D73)f$ic`8{X8%LX`l
zu7q$qcgJYf&1S}bXav4rV4BSw-h%B-mZUGtLuqlQzkIX{I;hdC^{Z0QgqPHj_%L}s
zPF_M0nCH~5PCjMf-H=9p0JZh6gm5O9J{ji&oG++|ZrJZcU9H@+w92v$*#}8dA5|^+
zk-VN7lyZV6NdnhZk-bWZJ?uabx48O&=4o?#Ce{x(FzYe!@4W=94vpq{U?bFwNZwui
zDlNZn=M{_y*C%A1yARbCkSK~|h-ibk+M&p-IP01<_BQA`QH{srbuUZ?DM-YBgWW`e
zBp>g7)r$1gDWDJx0C%EcMZG1E&$(yzT^+|n(A%5rehT;QP5Eef#L=UpSG&2BV>g0h
zK41VGhF7zvGbY;L;}HcEIh1!j4*U9bR&-3vBln=p<!Im!eC-kbvb`z<yxJe`1=_*-
zzUTtXiv87){U%->%sbC(VC3;aPoWxfLaHYK;!Q_V7;xW7PsRTX<WPo+r2v;<oILtu
z`v`~j8u7z=jO8z97Q4CeLLVD2?mN^pSiEQRWhT(l5ZtTvjOLAe0U_M#HzdY-BKT5B
z=!wk?pwzw2vB1L1hEpkXnsu2GcYV`sRZt)9@@&@WZlrpe@0e+;z7SxdEzmsst>asB
zRRidCtuF%k0Kfb#IhX>v%El9N;1idqFG9S3N7xgq8gajH_J9Ye=FA54t`T*E8USzO
zo{rE_i+Fs$#E-1*RSMVkI{+NhNyiB*ZG+r|mBN>RUJ0TlB_g16iC=0Ek?u_jO1Re9
zZ@qV$nS@+s?Cp5hWqMw}gmUmGChN^u(Kj=8Nw+^kw$e|bS`0tTl$K;4kCkAWbt<u#
z$!tN-V64Caa|Gd-9nE&E>_wgJ$%p=VN9En$J=f<v=708p-mRcv1fNrJ{<Vzbd5M^2
z4bP?*O>hvq=i-m#2KY8$@L#2{Xt^*M&sQ~I&uj%ba1SZpm@#$($c;-xr&s~O-)45O
zw#BNKQlxnXx9bMjW?WjZ+boM3y*e^hYOX{CL52Dq5!VSt2=3qb%zxbypR*A4U%*;k
zrrA9M9<>5?Qq#o%)19g;?sg>UV;UJpc>E|uSoK4b&e!2Uzo_*Z_;T#~JMbcqe3lCN
zYyEPAOMyoeTXbhESdp#W5+ITOn5O8Fh5P)23P`iKlEFv<p{Cuhu<D-=;9Olk1-Ti8
zaA_pRvuURg3==8bVW^-CyIyWJcHufK{@Y2f(K?+|OF)At|4QxI4AL1cbzgX6|5NkV
z$r3?7Etd$ioSW+$=3O?zWfF*NI7aJS?qkKd0LBi^yra#~aQ|D|6V})T8=!>OrDXLu
z?78vHV08FHfX6nu5@PX{`x^lK1hg+-U~Tl!&<xsNlO|bUZwucP=xprtkC<D5^|mlQ
zJ+C&JqS3}40Jbes(yo97b94WP2%5x^fPk&F(gVFXCIy`p=GZbn=dJrs+y_-frn37!
zeS$3KC5Oo;_Rl<x!Wke{;&9s6$b08;|EFBfzDAZm{_|ZGN6T{Y+k^v%#x3@!1wY*T
z;Fy(0z33l&u<Ze0CpfDzO#Kli&r|6{r$}`#+thES1$})lu2Pyf;f!j!eo}iS+rFj!
z6H8T5QIw+4s!W(O+dMM5d&+CHgNHTTvF%XHamw(*Gu)j(!`izqQd&Ru{^aGAZjUUY
zDKY=pitcSILdpDkYv>wu(fxr{0WO~E_b&UN=a}UiP#Q&Ma!tWQBYqUt1(f3SNy}&L
zIp(}y4}%CDHmoyy?X8JxV`eJj&Hmp0HT8hrP+!MaDucWnC#<EUHBgtLIb+|`)eF?K
zBUi~g<I#mdE0>-2PasM~H3sBM9qaBC$9^(C!7ti6%wcg?_T%!pk2wvmXfj>F_~@yA
zRd6D6{}w#<R8P}h7Z@CY0gjO@)vJ#ZmOgQ*f07aUBGO34RWNMo*Ha1Q7v-9P4#P@K
zKOYYWJ$c+GE#qn|OG7mZ&xz!M#0gHR1ve%iP&C{eNljqWxcCL<(7c0r1SZBpb=||8
zFXeuqm*xDJD%-=G&lF&2yRdDJ!kK(%as97<`OCM$kV&5)sz_0aeKgXsy=?Y--%O7j
zU&N<slE_M^mfH*g5!*!N7e_CX*^!fNWN2Hdc^UI?j|(fyVXNakn(w8S;?IWK0TH@V
zF8Q}aY&Oh-_=8TErMS4?7QRDBRupk$^W?fknn;w^FG~qKkM(%tVZS<gVCq<68l1GQ
zqPbx&U9W&}Ey!shyb;XE6)khUYL2=R=K*}Rak4vyfIs%UsO!r4`UO?Z8n(VtvoZpU
zI;=M(uuUT$@xu8s(@UKyui$D8m6oc@f<&DnZuVXtzw#g#TyqKDWngCk6k(GJJ(T*Q
z6ga5Cn}W-|)S0XR6+IfG%?oe7oj#Y6lX^1lFbNn-cdA?TQWjLw{Fm!G9>L5d-LLq)
zk9eywQ-1cD_{Mm52!2p#k_yfik5HY^duk7sPnvzGYqaEX^+loz$Ef@^UlX`w5qEdS
z>`#5DCsL50D69h4DM-CRO7GJiBBALh-}N<$IZ(^T<MF%o8Ei$C;?#F~K3}?_KSRSJ
z=0G(rlGxe}Mso7R)!j{fQfi!N3(_@^;eo0R5FIUl8I`#kq8vB`3jg~B8@xuS-XMzl
zYaIwoZhM(k{?^5{S)rEE2`TM^cwVCH%`0)WcCZowbNV`W>-Gnd)!E)0Rby&$WjwM3
zj0wZ^E1Ggb{iJu}$oi49gkzG=Pe3G&xHSveaP_Ga^+t=Kkig1x#Z{R?maKQMu^IBS
z#4N(r!*`+#D_@ML3op66zZ&JqzDq<noO!H`OL%@dU17dg(hj5T*EObnL5`>LIs8nT
zdW4XGd0+3E3gw|Qa3zPz^D(c1)nq@1@H6oCy>J8k{PpmVKqtoxV1oK*CkBYz$bS>L
zsjw$YoI38VFTO@q13E8bWdZ4|i*?qlZ0F+k^tNc6@$f)1y3VW*Ga)iLzj;!4N&lO|
zNmFD00bq#+?BJ7<eO2I@QbW#QzmUKN6u;3}XPSy>2z%5V#~_@~%1RSu_|?h_hYvND
z@5*2p^{PaTuBT?MbQsYdW^!1sgQneesy;X!)MA&k5t3waZ*Zw122b#H>b_&v|1_&7
z4(3y7AIrHK3!tdrYIoa}wh&uA27I+W1?A?7l6XUOd%lt#v488w1Yp1Fru*2y2bD$;
zk%KidzaVdo{?IrPnVshMl%H@dSPK0-L#5LA;*7#8(zz>1n==gO@e*K#$}=CM7Cny`
zv?{}944)O%t0lf3kGto+?IPJ$l!v>)^qTmNemn*EL}t#nKTK42Z5P>b+R5MRsOFsD
z#*8-tp#WbkcAp175h8c6Fmnzc2>?Ng>~=v3hCwgBfz@}3He=jvQzoL`B!icXS0ylJ
zc`~VV)Q7V099z)hL%GL~e@AY32oI0i^Y~|wLrE{|%}<UfDvbcFs=4y%uXIih+qE2O
z*-CLh)A70gGsp@T(U07yHb2}2#Am+R=3bq&OkQ)KvQ2#Mm7LQ1g&8jko%-Msf3XcP
zrocjvFc0uu8Lr8qtPq_g&rBy2@Jjnyd#P~;cFpuxzWR)o-4RLUBhU?#EO1&Hm}6-R
z#Qm}wK}(xEyT>*WxcH=9RVIq(tXPi3p|3UysidM2AubSW_Utc<5YVxlfo)6ieF8DM
z0O2$op4{tqWVU>)d9;bKG}E&Y4uZ1v+uQ+o=<!ifi?81BRtDRW4}idHd7lHo3kEiy
zQ0pRg#>eEH@Bl#QQ(96d;LmrDJ<)CIXF_aj2h;0>H{$Tn?;*OhxO;THgj4OhjSWGq
zn@YGxQG?p{U@yx>a-IB{4NHz?*aIZ7iz>|s?zuE>N<S;Xmw-ZH7Eo_Wo+sHLMeeQP
zYDR%m&Bq)A^L+rX5WY2@uDrodde!6XL=-x!Om~rlIdunJXeq#OcMCG3<t6H1;O)o|
z&=%oA;axDnj_%`h{-u)@(_RAQH?DHqukQGNK7rRbCb4t-QJ%PQj~KoSsg~WL#``Ad
zzL)hI)aJKp#3_3#KhyM9)K02}9+~y10uT{_0t3Eh4SDJK%#4qNerHiuqt3Zx@4mJ<
zAddDi38<XD{f3M{q6<w~UMgpj!5EHGQ~?&T<@MoD9<24c)NQKcQR{^@>2S?XC)Z@s
zzBmG|wsw~KFoC#F0pG<xs%bOFeE*f)x9O{Xatu%;z;3>GjJjtr@+O`bb3Ga8Re(u&
z(t&Ks%PGSM7qdow*2;y8c5ZkGBVI$b!;6g><h+{j<)lc1v0Bq!N5e%zAy`gx#zTDk
z&!4$!CNeQv39}Hm_D=uFFFJe;_F!5{l8%AG8jm_92WnO~rPK{!%TGp%p2uq`Oi&=%
z|KvwpB|RGJh0Mi8M~h8Kibg$R$d{LKOxWZ@j&}L%YX2Qa=R~C60GahYHipr3*~F+X
z`bvCTmRW`xFu9yNl9a+D`>metz2zUJ?5Ww%&f5P(oRlwYp7sv^&2<{rWgo}N5ne1O
zfv1`;+trk_sA)iwBbu64YJ|kl!yLI5gS_^x0JtChOF%8pR6jQ5UY<75-R>e=n_+SU
znwVKsqhsdFculp5sWK+qZ1?@@4JuV&V{61HgBZ*5Tis8*4-m={mAd&7!)ZwtO>~U<
z(wY#TG>kl)nVc}Xev1MmwV+h2qVaxL{UDk6`AH~SDWLd(G9-}5A*hOc5srBDR!*kz
zS9Z|!2FI?OyT_I}X;{<`ibs~yK$FpmXr5`9<XvS}KqHQp?(7m6#hDwotF&n_<K?C9
zR*2=MU>YDShBSj2U?6_JtWc2~_a+I8!{f?+yZVf_moJVZD672fS)x@uF$cX7>r>YV
zW$BIeNT#BNn|1DY!B5S)QEeH0Oq-YpaE5?M<=PKzWJ)`ZTr85Wwc_W*J%^im(d?;F
zXymZgrGN~9rIE~gmFy^f)YC*h7VN9_-r^xrx@lrVh3n2VDO3u3pVdh$pb=0uY(k5w
zs=auKr7r##Jf;3$Rt>O4Y@>dOPe3FS0Zp0&)eK#xB=%BGZ-~ZZK<%XGLi1=9r$rLZ
z;#-^TOXk+37%2Zc$|=;7ZpL3#2<<Hf>UhAYDk2F`=_2kRCRcC`ZT5mxXhYj-Lqh#_
z{Q&oc9421Q(wG$uTJhz$qZJ2zzjSQp55xv}#kBDEsI2dGZHBQ<#TydHr7z0aU$|@z
zroMb#7B1XV&i3uhUDG(D>;{nkva}mL*G*{soEN?C=fAb%YE5;$+R93tD=6Q1-Ahdt
zknXrIB0dFHe?3X#J^Ol&sEKiA^A6-I0AYVZNs+u9ucPm!!ZuJ<mC4py^WH`y{Sn%0
zm~AYVG*K2?{gR(Uf>}2+X5l>=Yw^`%L+_DB8IrbVF~7b{*;wP`H5o2s-1FznYpuHQ
zukNLu*1v~oJre;*n=|ngJfyUv_yt_bp-Alx^V6=#tON@LZxPh#x>WzDvf5Z^7UrBW
zy|@dGNa=u)7#h6pu@s|-`v?&WyYp>d)y1Ziw8m5|qmhToP3ryN2(%?iuNrn^;vuq`
zSAD5GG~zAhX7_|YEf4%iQPE3E5_d|?2ejHN`V{AuYVODMG*lSzX8fY;>0DdJO<ss!
z__88i=AY7pw%-LHXV413{k*FZlC72?hHeE141&&_HfgrHtMuR8^)eV_b?of1+pT$P
zUl<yJh;v*z>BV1^<diH#J#^i$ZGywz-LIMb0`<WyL3LsmY_g^|_3P%4g{7Nu9ZFdp
z<i=wLz(`s4_=zFwuku;G@)fABv^0k7kSj>ko&tJ3rP3B+eRoiAkVUVwx5MfSZG4_<
zWmV+Y^gup7SoUsEJTmNnU+`or8$^Wuj~`2uI;h&k23L(<cnYasZ^b4y(qP4Kh9h}1
znqvmMsR&d2@&NKS)4ZrYX08n6c<_L7+gH1|5Wyeh_ZcL9OyWyT^?rT<dB{R5D`rop
z^@cQ<j*ckcGyOP^;!wNj#-mSCQVJqi(8G)fh;2Bbj(ah(>`c)7)8l~SGvG^W#FNyO
z^xm9k_%T|!eAz=^7n9d@MeS-c?H`(2yFNb@cT4Y*U|c&nuOYURT4z!`2VwHqCA~lC
z5|)QRQnd&IYs!a}&vafy@qz49zQQAMM6d2OceQI8G;Wd7^AdE&Cl6PpyCfGOY<l<P
zlo!x8>B>{J^Ww(!)ekN{K)LDSl6d@u4#bVP3C0u5>!dZv@hl;)&~xAF41=gxbP@Mm
zQWL0hTj=uhV*E|r#&({>sTU(4Qzati5800dMW8Tj)N1&*p4oDj6vgKPQTM4{ZRZ<@
zPWq1$c88TYm&gwd1%2+)DP1m2*Qu~8k$bsb|E81@rXzob4%~2ifbOvG3CjA%kH3rV
zPJ3$;SQ`Ov667v#3$rwwt>pn>Joe_6?#@TvL#5}HMsWYoyFIIqJx>&5%T71OblLne
z5N9lL)aa1#$*2mkbs7Z9v<e?DDTnq18eF66MJxz#B<3``1?V3a@4u;WJ)d*J@%$n&
z6V34T8xdjvpTpRbvlv0Pdu#5KF*ncBHgG1_54u}nPF#y(vqQ2>+wRlZFO0s&+fdwR
zLqhC@@HSFgW8j#eX!hANLYmQLIag$fXZg0cjLZHA$`bbS4__0V?(F<NHE$%ykH!GN
zgFkJP5U)w=Lcn@tV_#n*A;Yf^FYad7B3TmF5Cxx0zzZ^{^xnhu{-jvA{e@%7_GpW9
z4w#$Dx5G^to;k19Y<U+r4Ohr2PTQx<t&kpX1|Iv~3UV4VTzX`6dg1-!1%Ou<AqY2I
z{j@0RcK?8BP@z$G%$xXrQO85=+XGjW4Om{g1IgdlEkmJWpE=aTz&3{keRH1YnaIld
zhjixz=ARYIE`wrJ=j0}^v+m>G)Z$h=`-}7=8ss(BRMO}7b8}aM?pb1A*HA)DJE)2M
z!be2Yu`2M-2mk(SZv^+9^SZb0Z*5{!3A2}p;=Y&e#(VfBe>9>2?Q$kVB0zW(oJhnt
zBjzu}=&#Q{DjkjHzU|j6aN4slJ1PfF)$m_#s()~if4}<wF%tOulz+}`LIJPA|F6aO
zUzg<lg92C=NR;#@{P+)Wa`ygP&ZHNO`~WiTyZc!iX^H~E1~=jmxqt&1f3~mSGvf2#
zbSL_cFl!<}cd}{YL!Q(FTlfgDuC;!|T$A~ab_-nPJKCnLH&5mKq$NyoTGPGyHrpRn
ze@ee1`Q8lY_m<zEWS628`S;jhQ;eo^+Ow+nm)&4rKwChkx*gor0!|?(Bon{|1$VGk
z*kpicm31gs8~lL*og@E9{$Ky!l7D1tJPLDEoG;3d`Xlt0hBXtrhj^ra*@?~5=q!iS
zo6V3~5!1nObx;R)^P=uh5(olx=)ZKl=VgP)bs{<dashOlpDBQ$0RlKKIiWy6R=zcu
zDgxkv8?MEzP%{4BbWpFnu)wXe1vbjS{hrGL#LcEeM&j0aaC{q|m>?h^m>3&lGXa<i
z(kqiviIYYkVLs-=#d5nl(WpImAyPcZuv<ME-G(e3X9GRIz1I@<;m6MwG>ySRR(X;!
z(Ec>!V5`%nuF&@uxkcRTBQCZ>ZzERSFDrt`^2m=3{uZv=Pq&eQka-U%3=(v~C6l~G
zV9}_u24&=OfE%p=7LgzbZH|oxq9+yx2DWG+AdlCS6R8%{)eA6n0rkDpy&3MP%1`AC
zEG%zMP)v2m4Gj$`Q8oJ{rKI9*K{yV8E_&0`($e4s!SZ+x(_t{5@0mT>bOalS1}+eN
z>Q!StQFvAWl>8tmV0QL}O{Uco-Uslb{BHCMl$8;nN!axP2HyZuleU`Bu#*9KZOH<8
zNlD0cm-Lk-f$Z_XeByZGeVHsgpIM^zB%un`S9I|xT;U+W#`xjgo?b=eu!CQ@&b*}o
z=LhVfMG)`PNArx45wy-8Kjloo0kv@-sHH0xsIBFf7*e<N?SZ^>6H{;z!CLZz#Se5Y
zkJglicuC@pK!nvHu>SVb8;fF4FxlN*0=hr;V;L!_o`Hb_5CZb_mdCAlEmq4Ft=ilw
z`7^K>O|c)AC{U|N8@`C?Q;4;$C<4LtyV1&8C6&z&;9N4GCjL}8G-5#4<kCp~t>K*M
zghx1@9`Zj@l5#X@GERr-I@2NY(<WzeH~m&`^xFwsWB|#nMZF)VBMlzKttAm%o^EeI
zp-I9Rl#!ErgM9@<E4fz*!dLtk=D0!bmoVAc!NLOSB1qtX&Q`I>vwzA?%vZBG;q0FQ
zR`R!jjD<i+Ww%YhqBWcTCJaafhXU-z<mWtVEk^B&-N7y~^T~LS_sv;O_YYc~(D~D&
zlX|Pv*sU(E|251?lk}P_R;QoC&*MmG(^>f(y6wxUf{F|m?+b@2%=h>Ar?BdN>X{*W
zUBvXOL+$i)%<ttOmR@ydA2jlP(7%8p;OT9f6v<OILzsX*E6I;{D;M6amM>pVSjJ$A
zA#itl0nxo`nNhqlpjT1@YeUz+tqrj~K*J9i7vhLfFr!VP8l?S9`{lv=m$r9!JRi)U
zuSlr16LqRXK5`v20KlnGwmt00K`xqokR9h&q<9WBrTb~wQ_$T?Tt=9UNn%0g?x|s3
zfho{QaO0--(Wzfw5g8}FQ&BOoV)$-lv&UziWatNH3r>zfpB<{fRhL{Q2?QRio#9|v
zN2Rp`)MDfIpBWSPIx?a3{Y-+6{4r$+l>xZ)??v>}YWt`gMtJ~gk<=$WC8~5ip7&3>
zaGgZcownzE`3JbSX<H0@mf#dgck^!2tssKL6_hb6pe1o}0(BXi93arWi+~Yr<v^#b
zyw5y$JQ%}3*cwRUoANR<_K9Xx_5^7gnfDBX^rtRIqlO%~+(y275S(T&0Actv2hVz(
zK6Xsh;cNo2;81*(I><gZJ$hGij6Y}cjqd?S$-oz5T{$ht&81p+oam5z9b@XXGjkb}
zmlPkrRg1m5n?b&0LE_UA1HA9#Q8~`654%C|z+Mp0d6Ki~`PNr_7A6U^K>8=<3}ETN
z`MHAh#h?3J_CdHz;*st&WZe4r4wm_7Pn4Nf8Obf^#tqa-tM@>>3~j82-ZoC266H)x
zA*5eLS>~(y>!1QHjM3m-B~M(9R2O(%OxOw~hhF3qc$drg0JbKxywq$<Aq(pKf)noy
z^^fW#&cY+`a+-@)<)x_4@ZKlmO&*pVaHl|ox~Z4weP*&_jRpy%eyk2jH>0Gm``0yp
zt2w9^ap2qpRn+)DR?ml`O*uLFb5LDQ2;mzOih(SPU3F{pcU0as{=@f_w~?@3>JYE&
zm20Ugv|5|6k}T}Z80$^&%vJZtAAR^F@XQ578_KejJT586ib9!oT*GTJz_X)$+&a*k
zsoiL)JLB{3SvkR3wbXH@s3GLEfDyswPb+SR#7co@zc;kt=V6rE056Nb&?F-JEM*PG
zzjhsn3DO=51_w2176_h*c9CpgT=wo8*D#jnn5)qU1*I}<5*vVT>NWDeD`_Uuw(vJ%
zWXU>EQ@GtW));{aV9Nc$a|8+%nPUacqBrp%A(onhak>#g>TXGbj+oaKrwu5MlIoHT
zaygVxAlRb*@DG2~7;wDZ98H0Vxbv5$mE$Zi%ERbnR{g1^AKpy(a*x00u4k)o<)>9N
z9EMmeKC~w<40=ziI}C#FG`SkVUcU3$v#IXuJ}b{ih}uNC3()RKd&{{ua<N4#Ai!M*
zU~DL`PTN}$e&=YabCWbWvJPkzPW3HJlGm+RLL8@?B8_fdF5T-|k2G{Co9DsA@ICJv
z2qcIm?w6p7EISVG)7#5GVX||M7-2IfnY2R8W{a-`vXMn$Iz~Mv0p&!18qN@V&9ug3
zmmj=`Y3a>Os;ZQmgddMvRfCDha|dqD{AZz*LJLfjr!vBIsTKk2*;C&c^;c5b)QvT2
zvF$6j<;rH=Hedi?GW<NelIRvb6Y}EHEeVP}a@rb3Ne=EUo7Z8S%wEdb!zvKdd*;>y
z`>@LKD4aM80h6XuK6m$23`srXP4Pa6bc6c8LPxdAI&-X`NiUUJs3D#d7=X>ATG^3w
ziu8<te4QC(DB_$Y0C{kJ^?mX%cmO4bDU`k3Q&5Nl(<va@TF#b%<b`QK7Z|XOdn1b&
z+(BNwuk5ei1t14YE!~oSzMbd%1V{c;57j-%cA53Tg8T0~gqyeLtbJvpTI7X@-)8>!
zdPZji(?z<E(*bqH*bPJIs8@U37CHj9o5Kt@orKc1i<j5TH+crVM-v^t`IZCsRQVMt
zZ#wUNW?gBce(}x%<XtwHW0h5K!n|Tc{Iy-TGGr#*p!|nS6pJ2=J`+4;RO(YiH;=DJ
zsWRG4q|z$323HNZ`jY5S9yRSo(IHmwiUyK@ErpJA7V)1Wlo>3Zx~bqTP)s^oMZBF+
zRL>6*NDM3@`6A@hKOrlMf`iK9-LQAPUTM}Ty<Y?LPiyLG${Ch_;Bp?Y>{)a_QACbN
zXxjZy)^`J3s6*f$c3@c$>B{z!%Y`b*25mb3ZGT@HjhT3xEoy<ye5o8EideSwccMWo
z%y#a1XCKYB@)8mSn_i${&pKmz+3xJOSHNJ6A1;&p`JN}JRsBMu<}YBJ9BVMGgtBrG
zr4lWJ*5FEBByFc5$+d8EM1Q@I1&d$!bWFGkrfW)0Fuw+O!=o~HXOm|v0g%E+U!M45
zHe0*f-W;XaF2mV(_3Uwzb6i0r(H*OK2a~q=V9Ltp0xZ>iZLiHhOz)++P~zc?CGJ6o
zf>|JKn*1qR2^!KL^iy{gQ8NmNgrtt_5NS)8zMxBb{nVr0Mq4~ovg0*tVrxKGd_=lq
zKcA3gB*jG8z~vgx^|p$F*B^`}ZfnuXwycln&mTSLv#HHwOka?mI`C785F1$s{hQU|
zmslBlyfgIX8_!o6+HXAUXtN*)vhdW5icDhJ&@%pK#e`N6`$+kl-4c<wr+PP&nfJsj
zR-gE(BF^S1vn<$onTBDkGl@E<BeS*)w+oFRHK?ZhOH};y)K8kBQ<`G%@^Ow!4H4$_
zUfXokf0P(sEj{H9oQKBE^wk@!mtL#i<L~jeDEAFuuUGoY!nwQi?29lV+U{g+Yo<Tz
z9DZy*rvBZwBq;ewp#GridI>k$_jaZi#@u%P_Ii0r2#{t(!_BpfvY5Ar$fHHc>28_|
zjSAIIHr8UbL!k`-s}1GbembFGd5f;Yu>^1<qx)$@u9KZ=<na&0y8TpIatp40z6wcs
zdAS<d_w=cB%5a=|UFJpFyMO_qyO+QBu-Vn(JugHR2_8R=S6_(I1g#BuG)HbO`jFjb
zWjw4e)MV$OlV8GpoTi7b?y<0A%R1ol$PB-j7<}uRmBuA^d9V44`fPulxkiI~&#zGh
zIaQ0^%6sclh|2yokAXMAWU*bVxpu?$jcT2#&8nZm0BG)jfBm9Ca>HU<`nn^|_<6mN
zoC-ZbN3x9;4o-hRnmeePiCZrDRh)tnOYzzwibgC5FwOmtmC5G%oP}lJAgG-F)ASdC
z;Wz2fA)|89+T~B4TN$zPjdZ8wE@Ya4!*u%uWqW?QbqzdH-(1#-f-BQ0&OU8Oa532&
zFIRC9@RmqZaEJX`fQN_rl0I?f>3sH{-<Rq8OabgigcW`<hJ_W$_udffid$ShOCvMD
z#87RHt3Afk9vN2ECoX%>H5KiVOqA+9Wg~-Wk=NzYt&Daig&f*w7WHw)vG8A<CI)C*
z^?S6_gS?#3s;K((EVCze19-8+2%BP*W3|KCojYH;gLq#G&aP;~QV~06Ec#nN%QEx4
z?Ev}|!d1<3D*tDc1HpK2sFn*K(rCZyY`2lbJNbe`z3cLJwZak8TiNAkwTp{+`m!?y
z$G`W1(B72sH;ZS$uH5k3d*RZE#=v(;(G7;>SAee*LOuPm<yA;T)-2$?q~(X0iMi-K
z3miq)Y3v|4##g)2zPpOG!}I0-ZE?X937xuk5p#*(T9HiH+>1W!_jvW!Gvn1Vm!YEA
z`LlmxjGbcumSY?%?)Qi9NQzD2O!#x{1zsN)2;o_dm-y+6Ko@aVwGwJ~CFJ9ezryV3
z8azemKItxHFu(l5Xt5u|wltg_8Yilh)U+xcERBUK<vyXZpAfYZ^VZbp)eY-%($pc|
z(Eg4Lrxm5Pi=<9j9<H4fIZKumzU5gjB^U2Xf)ND;g~DY`bJ_zMFNvw2zYSo!(<Q-4
zj(nBzWF>ucYKdz|kf%^LV?^3uAF}X)Pt&exv&mU1Q?8FiDbkQTeZ-hI>vrn^hS^uk
z-N&3zW;5aUB{UmuVh1>|$kwl!^XUE*9)>8q?nZJHlSN9sW1uR~*`Mcc9~OVG&kUKe
z-ho>6wCw|K-pKqB71iLp-+SSnrM>dnP@MU~UO5;p2TjTNkGRs@h&NyZnJP86v_<<R
zVXstHyK*kbyyZuD)muFhN~k|8is(969t3|8dsf@_QcJZ#w0KYA_pW_mTKwTv+FpnR
zjV_F74^vlN{{gBZwO4pit3Q^p{BtKWXcodc6CO{WbX@sf8@`u*{fJ_zBS`Wqm(zWl
z4eRnC+x%`cqk@8CLg!s*Q8O$8Xt0U-T);cb4Pew_wAW5^+-1gqO-l9kC0OM~8W(UX
zz>7Di^oVD*aF-p}n<$c3Wgz#-cM2gGudVqDd)d33h!_@a*`@-8P%8NX^NG;MbzZMU
zI35Lrl*Qt8h~kuC#HnB7$55B`eNG0jfrF%cKQ4UdG&dQ121E_ly+5E>{hy{1f=sxZ
z=U?j8mNNRzpuSanT5D$o0H<rdYhMX<iw$!~nC4LD_@nvK%Or;TXannv2rXGt=|Kl%
zsGA=*BoBWgQzgAZG<STng0bG2!QRi)N^JCiV<p_~<BQ~4U*_d07>K{1diCApI`?S%
zsCzr`1FhH?=Lf*KBb;!0d3^_XfmcEszo{Ql=gNUG7a7>3CN%}+<^1W)KTyA4y(L=f
z#rYYkiu~C1aeZ5M+fGCm!^zT+4)9#Cc4crO*mIr4DEIUime6t-`*3p|mt~^7akc_d
zzuMw)gYG?*w$GVcmsDh@O42dP^tw;N8(1_(YvK|ld4?9bTVp(svg-oFG&Z1@jPUJ}
zZG}ehT)W8#v_#-WC$%KHmVQK0zV5e+fEc2rKM^lMN<HgBHj<-XpFxaF3WoUe+MPs|
z0FM!y7quqG__YalAHmK=W6fj3iF9rVgPM|t8RFZd^AMBJx{eZ4wvN(qd3>rZAi1D^
zKG~70kH&(lZ@+h6y0-c>%&2xId8^+NHuYmKnB9@sYBqnbs)Wo+qn0TkAfzOOO{ZxV
z#G}wqQl?4?4HI~J+K2WJ@ecD2xG*2E_bxf59J_hOPNeg=pSUseWz24GYB~&ShwYiY
z7pCxsT=(xMW(iGbS$J4*KCVzttmIPU9#tGY!8+Bx_G`ouM(~bDL2Y6ud546Ej4j;6
z`2A(h$xgk!Qr@Q;^@#1w6U_oUGtP@p{{3RjsQmJ)T=w|Kml{XXJk)9rf@{nsk`<x+
z0D^O$=9D;iI~>Jyo2wx3d!p8Jr+x8kEMV4k{p-Hcn&p>_qVjhvKZTO_^HAg-G!es=
z3)i%yawYrWUHZJ&AQ>y)L3yIe^Ue3G{jPQxG%tSJeapAJsLq05r^e%hJZFY{!Lk`2
z<b3|;v&fF;Te>Z9s_OaMt*t%`42<#5`^WiXI_I-=OnQtrd7m1_B2Gam#$l@X{QG9H
z=Q{g036<}#Oq%?X`080``uyWE&3Fie7msJm?meOk#`uSETrWFRDFxKFS6&FD{^`A>
z@W-NoZjv*en1kn0AG@`U#y8)8@=*N%t^6$d+)rgXjs08wD=GEz(p=o!tUk5*cH`&f
zTVn#RxKm3rRFj|O|FGyutyxs^9&xMB+ct58q2^PnPF1A4XZP-U$Pa?V@7xC|^>X9U
zV<0|zak~70S9D<gJ0%P=Hb+pUD>PIdB$}>4i@DxJS2KpaIjv#pLP@^7>7)*GZf#_K
zJ$^YqpK$fqC#J1J5=!E*26G*KYyZ=><@1Qz_3bLXP!2!T#mUL=7M)^=YZ_dy6Jp^D
z6y$Yg))!oQA;F;`{q>w`;09IDu)Xvhs(=-RAX>g^x%m0E^!~2<-Dljnj>yU~S`A1|
z%NY=Fq-tL0uJy@zY%7>XYy+lr1X6L!52x<#-WuF!{zm1UE<PD<-RMbmq2p3n#qsW3
zeD*o!Kx?%##r?6)dM95c6hmdEU%!DL(fH*6zTV@@sIk*wy&UuA$M$Iz+_&4^x*-}1
zxvES9W~XCjH7AU;$qEG_=#j4Yhx%axnG4j};b63yfz`%nzGB?opM_SwLn#=cdpLhx
z5dB!NqBc|iNpyY1U~(}HBZffhR)^5<k~M=py>q4!&C=PeDL(A(jhcjMeCJ61Vf;BK
zHOa1c)v`pGAPG*V<oCkT{o!93OGCPqvHM;brIz<S3J>bpF=s3Bu)*WufZPZv5R*2%
zM(|cehibvZ2J+s{U%u_Yfmpwg+Jrsb-c+3Qf8wb^^d5)J<Nb&I_tv(r-UTS0OP7A%
zq$@;s9S`k49s5);?9d_*qfs&S*q)&jQhfEH;X_T?>Aa#$PC{wra)#s3)<}12j+t4l
z<zWVL-Uiav4?T<-C8vUhm?DROqJ34v=J%p}A62MroC=4{;5?n8pb&>Z2auPXtA!W+
zSe5gU@~bSZ9m%=XYgt+v^|1+j&4_~0g2<**b5zYA0v4oWq@0fob;c${A}sopAT<(k
z{j=jGgU@Vo@AFi@Gu6ITYo2?gL1yZ$Mpp<yK{jIgp6|90bA9D^l_L17{Pz<B_xX#n
z^}WPcnOWDp-k<FHEBa-Y@nkr{6e$qoMQ3s+qY$qrkU5{Zj@nQ+H@^AP!gK1iU+7Pd
z1b#Ikq3fF}p;$O}zn1I?w3gHZ`C&O}QPY>Z#zJ|d8OpBsnwm-04fa=8HL9Z<g6F(z
z^Cz$7X1<W`vG1XE&GRWKsVVJ`U0Hwf;Y()wy_Ks^L|3^rM^(<^u_eXFG=<=>Zuk04
zVd?Aq<k%EzyXQ>v&)T+Ejg{G}zcZN7sGT?(Ki_$}sb^%UQ$U%u&6Y|QutjV{X2~S8
zgRc>9PG8>o2Kf;({)dTJyl4}gi)IU~XZzb9AJG1!%^h*7KG>@Km>?e?hDzbp6bx>Z
zC?MMl0aAv?<94_!hxL-PCwYqL7sPa&3AerQ^Rh3~h-WXWNydQf2rM7hK5I_!JcPIm
zKW1ZIHUa;=rek7pkZjF3qi(w3vu-1*n42K9HM{x<66p%DpbgiItC&61UNxP8E`dFd
zz1ne){G3eF<;F*1$A02|vgb*z>x1l?NSbAqG4Q7j0~a$%?n)Pm00GwqK7552Mb85c
z8gB%cZn(xdwhNUvu8XvEo_tDW7e&TKO+i59aqjTNp@e_;&kv*@%b!^6ti>oRyu0v4
zfJ{BW_A2An$3n*Llomd39<KjRpu{{H!Z&l>U+=t|0h=$2-;-nlQv(8gegGe~EW!x=
z^$bi@US7B=H99%n(T33v)>#IVUw*upPVcA*t+rzLbE3aK7PAl#C*>@zUQ;kbI{3mc
zHHZjnY%fhFN*JkIckqj5s@EOo>Q?(n_OE8<76O7G$D;q72pcsHT)fVG-z5rcG;a^%
z^S+U9=0&guSVG`*L7zHFE{WMQvn&6rB9GREzi#c%887JNceRyIz^$?2gAsn%NLxAn
zr_TqyhwY<aSpWasgm7t7=j0cQQHz(6jfM~Yen#*E38G?qc?f4dK-Qy|S5{TldcU6x
z1H(jE4cSSxAi3Vs=hWbT9x27*H-rg<YhxKX)HYFJ)$<0X^HYpd0guHkFqU>~gjiY4
zH@Hk0$=v<*0<qcXB>Z>5uW%_4?(cnJB}abEQk-4W@FQC^s0qu`P2R@I-M#Kdm1x;^
zEl}#u2w~iw#Ql3lFJTifZKn#@KP2`3j=sxVomF4tF;Nr7ImWRy^yWBl9V6sn@;>ir
zZ>n+4y_!#aX6>K<{Vlc!BE<S6jE!Bi>7zI99DT#x(Rul=8I_UjTCL;*p@TcZO&s`h
z`o0KZI%NVcHi0{#>AmkbnU^s|*uoU9kXd9#*N!M6N^Cqtu?5&X*RYj*==~M=!*wT6
zskV+j@GzRt{q-hp&OJK>0m2UE8RJLGZvXZnZ&kGNQ90zrv^3Sdq>bcHytyys64r5q
zb;uFpo<RQlS{-VBuK5se`^t)ose5S1bhf3o-8Jcqt`q3jv7l>cbOa4i{nM{?A5Bix
zuot(^O-Wv1>^AG_psq@JAtbS=PK*81=-7i))~t4!;y;gAgn+Y<JecfTefp#R?G<;(
zQS6%cn0KQq3!R3GKKg%4fp@{MSLl<7x;+0hnD8nxwBR&Dp9TNSRp+$OJi<W<Hl9Ik
z-0KS-4K;YM;?jz*|2<<|kk^ai-*wI>Vw|?68@>Yr_rZ{c8)mO;mUf_lNd=rQ5y4N8
zF{u>(?V2r=I#SI`gpBE;2;NW8tud_e!k*dvcf>#6d;5q2fj+z#5fPaV#U7^eo#qo)
zitrLE;eXFg8kq-$50`eE0{ac3Cga*MirQ8*XUfUr3w(IXQd~f+9GrF!_FoRpRX5hQ
z4h&i5npc%rhP&1^I@Eu=9VURFBFlj1Q%>FDjEx%Dlv@-1iU|Er6Jw(`dZiuccVJ#8
zxsfGaRTMtqcie0kKW)>Y7eVx{0*$@m*cQ(MiAUcQjOW`?32JgR)6@N?mWp%S)Gm!h
zatfbZh0$*|Cn;&=FbYiO>keB&23;$|zj{A#BHbkNeht5A%F`_pZ?6Y8{V;!y7D%SH
zp_QA>#Guz*HtS3H^@n&#HRdWbo$Tys5~-w1vKzst>1=dtuXI;~cmhZ@j<d<N=so7q
zo>C{>4*Bfr5f<=fV`Cs%T>$_f%G*K7@w;D}4p{HrM}!n(b=rFie?hUQI{CJLmC!HD
z+(~MW33HtwL?7l){?oyFHJkdmQ{4D3O<qmVY^1ABgSMe~050=u7^c1m#Z$=s!_`Ou
zdiN^Ma@(T)%h~shftw^z-w@ip!AsXG*(A%(yz9`IbFc8-7EDDAd0u7WYcA#t7|vb6
zaK1^VVB{;Tg{*O}UuuUV5dNBCYkIe6ohNpWiDwwU!0}SRDIxQIi*Ai>PlLr6`EOr9
zXZgNyi|>hT`Ud+3CzDK2o61Xg92_veYZCN~zej8eT<_Ncr`(Yxs>zFCtjE>zxQNIv
za2D}4rK7Ta5Fp3)(NX=lBUarW7nLoUHGU*J_-M)g97mD<{|*;lML-wDWHUwg?nHOL
z9h(ze)#}J<&~P%)>3IF$d2~V{Nf3cI!j5k!mLX~v_2-xLnxv;LFjr?k*A3nf!Lkvu
ze+F0V58!}`Vb70WQ*cAH-5e^3hs&tYFG|_)tP$+NfbsXM2AT_E%@ImnCQQKsIlB?(
z)NG<xQ8^puopgz(4EguPM{Sb;9W^VxPXnh@e6hp{Yv<uA^sG~A&V0ahcTse+?qc}q
zzlWp;hfE6PvJ<1|h1A@4i1Qzq{P*=oMh7z+^9`F0GAgoyu-r@Z(Wd{$YlYer|McB`
zZyt2K?f!wBd>^h9#T5g7_z8qlkR6##J+1frejYO(j|%pI<{(9O#<V64ePQ?Stk%Nx
zT`ckbxTQ&)cJ+_aE0%e8+Sy2ucupbDgQ(>7z*uhJpOFRu5|38bXp=KswB2C8Z*Sx#
z{{XaVoVXXlOAPeHznd3~G!WWf0gnra<vP}ym6?+sj5ZNI1j_;`FNN=|4t0b~f8RUu
z>%}K$2RrrdQy6QZ6+4Lp<H`G5p7sYRA{zszn3`G|3fD8-3rDHrJDSNsK0ebsV+!=s
zSInVdVcg@)&Ub+^Zd?|HMY)a+iiE_~N7L~NZnESbEA!IR8}F9angfU5b9#;pubt1A
zpVoAr7kYVAmaW{?xwY-h$ZOsPU~q?oh6vdGD%ikkoEvv5DX((Y)F1gaYoqL9T6Nb|
znQPSCUL%&URhAVNR*m*&EG#8JJ^zRS^ptLYts}rV&x`GRGA5A4;^;;)UE}`q$xUn6
zy&{d05M$=ErwcU*`Our|uv=l%@jYAE`Emn$mS^e51t+2F#fWJX%j<79C-f}e+$TKj
z3+mmM=k7|*C+;p4&aF(;%t#itc<!_v8#m3AVxs>~aaSG>br<!Aj3i|V6^RlRS<;?t
zWhq+;V;PJk`&zQEV`-CUK?#v;v)IQnV;BmB>|@PRlywke5APj?p6B_z@4v4<eC9L1
zJNI|)J?EbDJ?GwgjvsYtSKrcNOPS|TVz*~*+E^b2-|eR^en47^Jqg~Psj(_@9zKy^
zv`UmZyY%bTp7Q-%f(j6%ByDx>i{P<P{;m6wraMY}zjc(YbnX#f>FSR*E^K5r6kSa|
z8ZfR==0x4Qv|Kv<oZpR=rAUn5C|)XTj+NDK<yG1}6=fq!X9Z%w^4<o|maI}^d_Vr%
z+r!SdkZF&y8NQXp#k_{m>lJ!*i~8EIxg??5GcS86);?J*WdT2*m397njUd{><?mHX
z0v%}tRDlbhgmRetONN>-wbj|G*8$15ZI=RkLTyzaa{*Z@5_Xwfb}F6sgJ=20rah15
zvg}b2JyFITSoU*V+wdVS+;Dtl`u@bi^?Bb^w<h!Mw^^%8Yo+~j#DS&RJ!#?+PWXV@
zxvbvOu~V-L@$Nb*we>0&CG@|)j>%de!ez5Rx-#N4{oN`0<)Kp{l!*bA$rA1FLvQ?G
z0jmpW#4b~oUYxJ4*R_X?i+S36b`H#P&BW;Fj`e6D>4D5f7DLkHt(}xK05H|;pG*17
zZ-T!ZP&!?^SJPPamxr0VqZTh10@F*<%DKKfbLI^L&f~LB&?wBW2-)czXPJ5J?jncs
z56n~FMfK)9HEmbt<QDTQumvE-?l=3etT5KOAU-Fk*X`QW3}WG2FWOzgVQiTiu-4u5
z^ETQQGgA@%+*)BwYM>#&bf~zrH{{E5QX4MH@_Pf{#l)rBqt*R9*Tu*2Gny-lgh}6_
z;lbj@=nye3d!IXgZwiO?(ml>(!O~Q`eR@YIT1lw<x}lSeK>sPyR8>myCnGkdXwp%b
z`mg8TJ^PfJowIkdBm*HT+2K2r>EoWCZwP_y%S5AY>fIO5k1z&zFF&=q8?$04Zc&px
z%c>wGawWz-3u`B`k}x^uxBTk@R>WhsQL`WRMf8xdz2d`*pIKgnuf6Yiv+69dCWk&X
zz?_X5kup^)%QUDojhf9oV$`t@vnPQvqSBx)zGkNrb*L;U=1MA9Vo-Jg$lj26P4)++
zq*T0;sJ-ySh`BXJDWIZ`jgG-wBHPPgX1iV%d+-DvGe0_gNAQBn1SW6)K|bQ-*D_ar
zVrVdB$jPAdtyr2jzLc<>vNz(OyIN_l-KprZ>;ZRdtQ~t%PAV*_@N8Dx?HC=dHjFXB
z>hp)k%nM5&o4MMS#lm775-!>LYEVAlm!?s%Sq@!G5!RZeojqEluT5uwTGIp*h`&-5
z$j)>>P$v6lbCjq=yw7AwsS8WI7R@B&aV!i?t|d~^j`Di(4o`pSuOY}JVYo~kZ70W8
zD*EJ_Wfpp6ayU>aYw0RNj))vpx3+WQO>d}CJ%xB^KFr&Z+<sPM$)9S$zq10HG!$dB
zQay?d*PHZn6g0YF@-s>3Grp67u7gj78HngZ077XPD^T8@K5R(O332HsYZf9-=E9}3
zu|4&zG*wV>JW=#c8sEZf7%#C~uGltgK3TM|_4=iuxu--4pO#5y$F8^MvE4>1%R>qN
z->G%iA-TGUb}M0M&uk5^UsMQgls9D9J~-gp;M17;_&Lp6L(hI_%<gjBwjy`If3V`a
z!D=e0TfmZm?LibE26q4Tr^EfvN!5B7@#7*q{QLnwsJB6RNUZc-Xgh+4n{RBjwpu#P
zgI55gF^ia<!`!*jNJ(x#tN!rAgeceUID1$AS%zd#_9OGzw-46tMg;B--8k*?W@ndZ
z-#x;4g#*47(QVN7<B)k4)|G+I=Q|KTX|BRcEnt)c*|~t$k*14}oO@j>EPkQ8-D~wr
zzYrI!t##B0_vq7o{afwaIACs(kex+vc;~)ZxExU@p~x(1h+LBGRQ_wxn={*Sx$4w)
zzmWpgzTCGdMMa(g-LLK=7Ngqy*T|0iInG2!ll^?;WIuFG?b;Bp53#n)`l$0ghgqyj
z`)m9gcb3e{cfK~PPD{A$!StV46poO*T^n*z0$?H2XrK)ZDsp(~nci_UwnW&~2s^Dz
z=Y9H);1cn=r6h8qK#=BA$*y&<&iPC@rFdPM`WQeaI9;4=f3r#nvGx19O?qu$XG3R|
zg)v{i!eE4GZH;nu)qNF}{M++ClPBR_C9a=mMY0U?7y1`nVR-{L*Q(3r_3+72&$1nJ
zJY;-EGI`HpogJEkpHM^0CiQ6MW!0v(@5^!n^@ZuAo^6epYMJW7^Has=FTJo*_N94i
z?>Mer$`IC-0i;3b_cM32M09PJpipeu#Z#0jEw2qtT6S=fX=s|nOl8?^C0o#kANdim
zh>Y)DGVH=p?RnpLkGY9{DYW#-7%F?^4SAM=n2gOmTmQ`v;XIin9<bK<dR}&I@J-oI
z)pYCfes=l98}t~+UeyGD_6Mo*_7t}{YI17Ls9Z<B?sFYTL54rxvZvslkeufb_URXs
zQf`f_R)9>cJqtZ>*~DAR!@V-SK1R0B@a5#Ph4Ai)PS4q@CcH&k;RJq2Vs*ZOz$h$!
zD5w2Vs2iee=FJ?d@oLK(nWl56sil^m=R&?RCp_>8f3O~rW&y74{>xgs08-_c5}zBT
z<LdQuLOD0`_v~F#49N132J$X1@R&YgWnw6gZ*E(+6A>7qZ4^gfR;i82mhECj#(j~#
zlf$f8#%rrlXx4Z+4^$d_FYDM7gW4>(O*_|GR^M8#W~6&zCEo8dz6Y^70M1YN(R!^1
za&n&E@5dAQ3FzH7LvjHF?c{_of3&JvfOC)VEOqc<a+<`fn@Rn*cjaFqBDiVt9K`%0
z`i0Gkd)1-gD!p^(vRdDS#6BwJjX9y#@lk~a#F2GiM6cjlH0;f>Kwg|r_?pDW{UQnu
z@yF(^gl9f^9Gl4T2dL5Dju%_Mu)ddk$~D@L!TS3157`gAt6&fHeeCp294-y^<6ob0
zHC@cDW87%M6c3E%{fS6`VJ{0edRXc=pqV-o_ls|KEzb$nr+e~E%TjX-Wv+j^28Mlv
z<LoBZ`u$iDtm^}n$u)5s6#RM7GX^HowIdFH(*~YAcneg}BbBHNTfwIF{*C~upI_|&
z<NEW`$el<Hw_U|H!V!)P0U=&-mox;~)BrL+!7Bay4}PL!n3iy{=z06gLn`fHkX*$D
zjfi;QF9G`*r&z(bH6un$4zVmGrD7YAAx8#RoeOV-cLCTP1PGxEp+)chytA0SL%%)I
z^>MXpi~bXMj#f_}UbdRjd;qw)a4^L2f%n5~$KvE0#lx7pJefUi4etlzVR}yT!;aBQ
ze_6g-hLkzW!U7C5Ti}ec+IyxDBLSNjC8*=2Lvkf7{GjdBHTf`7dEF}>uG%u$6}HA*
z^a{X7-#%g^$;}XSB>T3RU*x^_`s>qJA(9w3BIN?AtGf}O`@dg$|DlNeWuE*<96XUW
ziK&6cMYuA;l{KSd3*X_t)P!Q?Zq+dZ<11)tkB#7y*6CQgqBV(6RJOJpTN^O9Xix-^
zlSdFbPv-6Xv<;l8&yLa)eygA8S1l?no$GJT9Nb$2CPIE6l!~~sve=Y!h36M?LUSdE
z++c8Qe)J|!PgLyi*imV}Lu~SZ2M|`~E0+c2>HE402JEvY#9IST_}H_A@<3MBJ+47m
zAj0NH+w(TCRN!=(boH>uOH3cs<jal+{7RlLvM=;aC;^4zdlwyv4dZt=ok&I9K(7Au
zg9blB<;9_2B*s@R*oN;R-|?EVq4_kw<)}XvLbnjh5C9ahAzcizrR|&A??=r$SiqlV
zsg8c3(>M0=`>gz$9f$b4(I^x+e@h0JX2Uq}1A_ESA5;M=(eFRs+HmQR6->u|y1TiJ
z^tko4w-43yUY0FDBgXJ~d3nXf23{TAf;7V!0fa@iI`-A3M+x1NO@)JVq*_`@9z=&@
zpo~nsyLxet?4?B>9-f<2p%u-Y^~wz9hvgwpJ|V3(LwWM$49Y4hZj5(8Nq3N-TY=H+
zX}5Pfb6$N#o9THzyg+r3Ci^iAgsv!imAV<eRWy)KJ20jThoh%PV17HL&BPezsZ<-5
znn4WX-Z}k7Y5LWjQ~QpreI8j4$<dU-gRsD6=f+gjflPT2Pr!^PhKK(I{4E74W|2FU
zro`4&hCnKPv_IGRoghpu;sJl+?op+x8%_bS1sT9)>XYNAHsc8NM-mApP@B{3_so-<
zD@pBVr_O=NybLBY?0wyljme~2gPt&99Bl3j8QJctvm<yA%=n;D;A_+GaW5D*8!-qo
zj5iU=AII`UCFI}QyUjHp2#PE)E7e2#r?fX{`%NG%R-w=DFC4L<7(T!fu~-U7^q&(i
zyGLbfhhgLS`f~n2gMfr9^&wmD1S3XzGP~@-tnWu`v>r50EG~XE#PZ$v)owrpFBtY&
z!`7{6;79#L6w2=I-O~f3IyCouTAXye(d%gHwhbx)0cqFYOpK2|9{TbMfKLW(AjGBz
z_bP`5X3;A>mvGA{^P_k=#dq5D^bfV|^P!n(ra==@!nU|&ch}a#4RrPFM?MR%34=Gk
ze8O#^B*0J4Eik(ZuFFU(nl;};ovb~g_`bfH{T*;}HdH(d6a?<B977#qQ=qF2pEJ3%
zIPJ7!JcJm`(v-bz>=TJL)(+;W1M9m02dzQOV8EC9$_E4G6s)eUHeS*-I3Nx;ybvgV
zh|e7&w13m8u+gG8EUXu`l}#T79!_b~BGP%*v@5KzHJfdZdVYITW#_O7K&rn<p1Q`6
z%5~#jKBWMI%5`iaaHaO3`+0jhbX<yi7$-|b76kUM&vPIMa7fBA0<k&``fq%~G@wAz
zql?*RtkC0ATlz$Jp#BS!@gdIl^`8FglYICv$u&^$j=(EMdUg(A<k&C1REL6qu;;0F
zJXaUaqlH&Gj+@2p;9uEC=eN%8x+CBRzr)8<@IWrpvdR%wB!oHSw9LJ`9dy6wOs~?E
zTLLZ4l3;2JqMKG?B<3m1NXO=S`Li6<fwW2TiB+u!*w*brq$nL=mFTrD1yH$_p`VTK
z#J#PD>n$XG=;)`$DILIWZ!n1V2{Z>GaK-ImNt-&ujHCYo$?T%xV=km8*f<!t9S8D~
z{jop&1V{tjTzuSapr{$?G?58(53;s|*Xk&3fJ0R#z@d->?3}SytKBeM@)#%>7lu{t
zxr#s}SVY^Wvn7xHgA}k&4K{FG#Z-MZegmO5W24b>UiC3M@&N52i>m9^!}U+)oWM5C
z6iJHwtFHq)!6G^kOtXuBOlRPZsRO3|9AL~gV2Tp?*sDO$@b^PS#lRtm%AmZ|E{4NL
zz|vV~<;FxYJp*Ij-P~k)f=NK~5Q$k*Zu>@;0N$_z0=>*qw1DRj3=t){k}UN8MadMH
z#P_b4eaAN`k)NRPc;bZZ4rC*Ec*Qk+-)3Czx0xpy0a)VNWP$isUyV#)RE-Bj7&o~a
zqGk%rhLDg@`GJ|Kscgp7?Ps8_o{xc*ojyWh{v$}gIsSkUNbdsfkw|i#fNXd7ELXJ9
zVN#R_DhL_;k+x5~K44@ZGq~=Ol$UoZFj!PVg0(+=A6R&Ua1eu=5mR5@7&%~Pep^>x
zA3|Gu&oOAY%Fb3K4@WTY#rPTY>E`HOiEsAzlDW0L-Tnut{NP@5n~n1{hYZ9PXey>)
zGZrR+{yeayX6=H%^84ig8UO{Z-gz0V8PayqrQAC6WXJK&;NV~=Kg%{i;2O{<T>-A%
zn;}T^BmMN*J?vf4K`UhpdQBcSHXps)BOP>3USv@RVIg5)NPY?Y;Xh5I>5-aKd$|;F
z)UKA60m}96sQWm{*DkSlcNf|pG90>u_T#z>J9}MjdP!SZ00yGKeE+h+`iz<B>5Ug%
zF0Z!cJ+QO4S5w=w*XmA@vBn7b(xU1xQSty4a0be8^%tuK@}5HB#&kjGbJ((v#9h)2
zZ5a&jdWNQCEX5aSp9T0%hlXNDpIU-7^PBa5WKtUlfcE)?e|!g2(`LMRW5RyV^GjgC
z6DrEL|4Ur9wh{i(JBbtM0?yr_;`zn`SpNi&4deh>u(o7_cYjtuDv;4Mm#M7)`TDyB
zP+%3U<Dh?ZA|R;*9O%$s)_=Sa_*Ps35S7`FQZx_tFWQmEK`+M-`2PJJc<loeKr$$m
zXs=CW{<}MM_G9tW5C86)LA@WO=15LX2G~YSRCH%Y<G$S>xS|e*lDn<SWkWe37noRf
z@0OkZC}?bK9D7GesZwVCOP=@a=z{ti0GH(JX|`(U-RTFLgNfutf~!D1%~`R$JUrgu
zE{1E1I2Pz<BOp_^Wv1(BA-i>|nMz0_EonpxkihlDJPn4?;3U0EfqARS=0K;eCE{@8
zZf!NSu>ZY@=|ELDEp10V3XOIq&cfbYOyvbrkq$Xm{%9C!X}B??@(a+r187iqD4j_3
zGc`3OqjW1PPxOYYB}#1rp%4)HKPDHyZo${tT6d(ewe_?%S1FAgDGmXM^#?_vO)emV
zn1*Hb@q6<VwqeGQ;K1Cy=9{aFhLHpEX-q&Zt_3NstHnP|1G_vI7Z<^eHJlgUCC}`_
zLJx4rr|GpY4T1GB6g{apXLoTEjDcvUynR_O?W)z}%2k>h@(~7{9_+r^4X%J)R*roK
z56;c$=<0s|-<uSTq`oeZ5d-NFmY+%iEgFdhd(_sV%9{WYLidJ&3d$#fB0=B)cZ)?N
zRlOh72U~1C*#kJH2sp+rldZmq&mV*YawGS&Aq7v034?8|P}&|+MNy0BmV&-VkLNi5
z)x4j@;~fv}g#tj8(lhaI(H(SHQc7wX)G-^OyJ}%!frog4jQ`*Om%{!7U~3V{#+*%m
zpdz>`a^n}klpb3eZBltu&P)QA0GB|f;{6d`r+{1Vk+%Pf$juMilsrilB&hr41;4s5
zyz*#$yqnRvjW(R}i5VH6y6r72lK&5Rn)&e=sQb)3P~HX)j!l8k5jU{*_S`n(K^q+j
z^xu~U3F|?fjLJe#Ef`!M0_XfKjE&>@iOt(VlvfX|qaKUex{XDPoZ1PlC^~fJ3jLZf
zrC}u|fC6@ZFf(P_kj_6nFLDb&hTt#fHYVWDYN0<Q5BdLZjx1uzZ!NSz9mPjfTUOKo
zOjIEZ=;~&-DA^i@7n|qL;V?V0l<&dVG!VXE3IU8_yN^`ZRGaK<v?BsmKbv!6Dx~+m
zzU*1u0LteH5J5X4Yu_fIV!9>LcvFr&Fv5ec;qH9_vd_p%EabX666{R>SLK#LVPss#
z@egvIvu0(>3Ge{-)tUOX?lYmqxDUNxzHNYNNn~XW-n5t%LQ~S+2b%+NOb$<_ID^}7
zI4;i5ohiI;PGaGpK}cX2&hSZZ5u+|R)j0Q%1#@-(BbM>ztmuHWS1e!)PQVZ-VjI5e
zR-2%R(@@@;9sZKVpRp~Yt6&aIm-h=k%zt1>g~W=yDR(gmoU{3(wUOs{=)cq{$d`-0
zzwMbM<zyvZ7e_FNiN+LD&uPjf)SYRgR~i@?IC?$d1jwi=CPw!8G>9%L(hnFjK061>
zJ9F9}-SV6SB8h?0<>!};S30f~j^~C&uM9ty1@yh4XD+bwcW|idRZ&sVZ6lcIWg6|@
zzrSf2WUMrxs~=KGblf0FpqJiomYnzWiAVhTPS*--5qI>532p4qik<0+U)+COQMSO9
zb7|`#Et+TwDAO~)8m!yL=bZXTJ{wxJ1C|}Zn!Gv5zeoD<Dd4P1<mt^R`Yj1;4uB{B
zYA#SkkB@ljgy3`u1SMxDK@v3=7s-|L%S%fpezW9>i3uv1c>$}u&}E<H=H|xb!m>CK
zYajSG!lJFCNF2?yfcwXd-Q8%yG7JVAT_pk&@u?-xR@|h-6I{eiO-;q9Tqu4IuwPXM
zVOLt8G5Lk0o5VLNS!xZ2CH}19#bU9*Hj+(ZgJehb7(oKbc0qqB=W22*lhR2--}$<x
z#_&UZP=MC|f_LjL4-Mp)EDzq!ch}zx0@?lUnxcYE#DNQMgYIO}n<yzM`S=iIhJ?fJ
zNo6ig42lknDr6jE^C3krz6)y3f+e+syP^cDbhSZfrOVl}eJ=%f5w=VcZQe2%>NQGF
zEE)1eVO>DA5K!q{?R#`Iw~{QD!@f8-C+8<fCfcqX)#o)7pOA1+jI+HB6jvd@J{ffD
z&H%sKP=b6ITVZBw+ygErgR%tFDD&5CuW;@t$ztn<gN|DEc1BR*%`@p)`TbthVJ&F=
z;>?gW*LfVw_eb4+ioS_SDKP#@VcZ$GbA7(r=qzyg87Jg~{Wcmm3Nrg1`>grcA~og*
z4kU#|B9Y*lFaWV=Z=UqiJZ%wOTG6nbm6esx3cp+WMX3rBlM;2x>si~sHcFN9)U~Lt
zs%!4)%cGBb$l<oJLTDmJI*P2X*PMMP5c}oL<z)JV<`-|Xax)LV`W6S@--gfOepFji
z!<o-%5AGkkEvp*nB{_Yq2vtQeyMeRa<ifV1%c;}Z(=Q9qiF$5sxUqA(!J|}At53BR
zSRH1PfpHu9DSD+cY_F&p%I{1{#Kmej_PD5FyIpo!8G^UxYV%%Nd2R|?XR`jA=C&y1
z_ud!$e-&{QDW~TgC*U)+ZQq^L*{S*?Hugy@kIs$4D&yCydjXQ~i#zzY1{X*nH8w_;
zf_Rl`W|9lqt*4;iEH+uh*RFg<uWTtwjAZw<Fgf{3&SDj>bL$g;4WzxM-%Sj?6M}_y
zgTmI8hAq#2fb7Uo&$;g5l=?<fPN0-b;mYpuskS$^H42=0_Tz^YS&y^*ZD#jLKZTWE
zm-o9+$&XQ<8Bf#ML$5$BgaT6T`dOCIH&#(KItvXSz|24@XHgi&Wwu2=r764TOvUV2
z`&bOUcl<>+)$>a!@;u?E?=9(uN@br(ubN$ED(>te@S+-^^w|ylTM<2)G>$Oj|4LU!
z$3<s0mw4gN>T9XiCKOnqEtSb-6ZkPsOWo{n!v)<-Eh<V9VrY>FTlSluTBO{U=2}jt
zTj8?c$@RV&FrUujH6q7IqL6MI+yj)ZJ=9Y}<%+ICnv1>Tg%u_W{E*E}TdNn46k@Zz
zO~|8Cl-0JzuQx7)-`i!;<-rH#Q;BcRRQ`|>eJZXsAN&25Al><+k56wIYCvQ$`whEh
zR5ENg?(r*>lG1Vb;et>j-Mky9N`2xN6FWsqVz<Sk7i0M`vR1iFuTm8VZ*>*A+)jrD
zeXb8eGg^g_VvBO$W^SJoA4+xh1*p;RWSbfq_sK`-%6B8d&r^dXmbKhH4eHk)HLIB$
z!V3`B-gSy*A=m?FYSad{>>^N0@$woP;T6x`CdRW~qSSvHd+%N*8Xr9_<I&Z|>vl2!
zFxts6<#{-+0CWGR-KV=<Rz%*G(>9&D;kP*65gom2@qq^X#*Ydh7#sqA`}5Q<Yh2<K
zM!Ov0^_@#Y+uZQt+}tykDA!%i9-l15oW_2bOt*jPJ*pYkC{yP|pcD*h2~ECC6JzMV
zRNj1I6S4t~Ri`YUcGCWw7;mrd%;#uHx0*~%F3o_{9P_-nn;KXzVXEEE0=z10M30Np
zXm$dd%#v{)6)sXlvE|8sI$WyV7874J?yin->Ffp>?Y`lqcN)I``0JPTnA!zIJJ*=I
z_M@0nvJ9Te;kMOpl;4kDx2NeA3`mZoUKZFWapvywNii(kzQz5;WVjG5joIBnYH$jt
z)1-(EbuM#)a-X!E965QiN%n7&KfvT~YaY6B?HapQvCcf9*)JjAGd(XJXFQK<HhlXQ
z<Fo%o^i7;ED&|`{x0V~)TFHj;)+m`JHPyjV*W*yzN}NvHuIJ<+3fd$;+0wM9U-hT@
zr(+tyT}@6OQgqFY`|ZxT!$|J6#VrS=g|1^AM15^NdIk+db9i1)lvuvM(ce7M$a61#
z&7lnXvVgBpYxWFFsEclaHsOqh1_E6jdq)H)yt9`n6XIx?U~Ek4D`mm(q=_r3>f(-W
zsEm<Bn_Rr`g@BQpa))>#dWjOdNG3stA%r*lU`Kh&wFD4R=E+q$<#Q&v`!LkEc`;Gc
z7ZX$$!ChLN*Ad4X^mSUeL$B#JisN};h~s9X;@VwrDTe;7sN{;YXL;PFF%pPOPE@$z
zU0f#$GoD7&QINKyYn$kOfl`287P^(9k%GY5p#*VR?5V{z27Cr3I<=};o_9P=(45{=
z(d1Mf9Sz4q9f$X7vza;>S2NV?91maC&f|%~->6WB0zIglj@Z?K&zIy1JR_0Pce><k
ziS4d4EQ?ol3zmq%{<x&0yo4*!b|$W!nf$zz35_xlL~WVH67qPnwXv8Of_Rq{k{Od~
zJ=tYoNgR?$Zm{$o-$L?W64<%3eH4$2TFI&?8BtO&mI_sr^rCcuTN)V-PpkdVL9jsF
zQf!F@iZSY)4r0GZlA!bJmT2-*<!2>E7_E^EP1QV*2PMJ1`hZiMmY^;o<1}V9|6VM(
zPW}TZXod{$Iv2w3`*tV^pZ4=KP!x+{OpS5kaCd8xJJdItOnGBwt@BS5b4NT<mx}Af
zJsT3o%s#1pU0PzPSIrIWQPI0fPQ2W5;$E5+`KkRE=0|phCFGG#5e!IF{<YiJm&)u}
zdulF9^}Tys+l?}Tk7Fq3>6ctq&-YA_*}D+j9y^Gi+#P6}@mn@;S|m}M;D*Hn4OfNp
z_B`zLqMVcsKdRXCuurBVRfqk8?CCnrzuU7-A>{Wqjv6T77hwg~+RJjSH>fXNl=GB~
z!-$h&rDLv_88v%39(77x{p%$FyD8E$o1gggW7N|CTm%*h`TCI8s5k~a%Dhxl(<_!K
zOY?mGK^L=V<N-tDKsPAwS2Dx_P820&6mYtmZ*67#k>0>PQ_4nR`L+c|G9d)iCm;Oo
zV}Hr@x`eZxMuxZ<`Q?i_#qFW%aJ&PZRG!Su?hdD&``KCo;8QufOOsodsXcENqp4qZ
zLuP-fS+};|-R{2+n6Lk!|F!%QW)#%a!AvVc63!m$P9*ALW6|T?m|>=WOcro68R(o9
zXO;Dw&(spT%%echXvbNdgS@;mPB|#2Fy>zF<Nw55AmEl3Sa~z%W{)b?G3ToNK#tfX
zw7<FeX7{`K5O1gLT=~J2WDhdc)rq=w#`^a#0(TsX#Jku*_iE{8=l1s0WY#<)c6pdX
zJ9q<+j+*$4h;m`Ki4r1q_!V8;j3sW6`|)|8<;|V%Mk^}NW3@uC?g_sD35cGKj%V3b
z?SkE32xH_~m48K-AjnHQJloB=jLB-Tkg*lj9KEQcut0!2@=rTRkZ+We^AyG`E|>eM
zr`vXWZN*uB^I1TTUfdH9D@KUu4bm+z^*J;AB>ecCUCcv>5x~$UCKIJoZ3VfbML$5I
zx=KeKnkV*8ZWVL9JnQ3q&d^|T?v6cPd{AUcWX|r=o_4x1U2W|a5IZb|DTvm3x9f?d
zM}7NdP9(S{I3_Qj@2q+e=>Yfq4?Xwkqt$0K&(1nQ)v~y4ah1#y$@E#fOwFPCSpaMf
z_mFwxeGMGBD55@ZY<gW|^F5Ml{vCv4`<N6MdV`485EVrWJGAOO$`pT(&!t!*_1rQu
zA@*X0nVFerv>Fuf&!<?y9;y$go-`wzNegcyqObpFa^sjh1=B)roEf{E&dlxiye}$b
zY-~)d&MpQ`r=QZ*)wR01Dyo;M|H19d7Z*o@n}wxwHB8J)qEPxjYblo_yLBWtje?FS
zsATr`Xllo<pb}#;SKVsMy5@-x%y?HvhbMsCy3@Nq;_Smn;!Ai8I%u>*Wz2*?a3*SK
zZSIo)S)``QbhSz1dWM7f;a%;_-i0yES<I@r+`+p0_V3RzMMsWN><<&X<-kR~Vj|JF
z=f#T`!`I50iQX9)568O_l(%BNe7bFgPHLC)oc>E~^UinIW0>(>Ago8U58FwK_Qw%3
zGHgLYpWY`N+p<duAWy!E%Katn3EZ$Wd(hEs*+d_UY!Cfj_y4S<NH`tbPUAu8l8t>C
zcQ82Kl#-N`gvVb@nzyCTw(Gc<&D;wC2P8${SGWTomhZs$ZU(J?4;1h-th6mPH#4kU
zd<C463mwEEy6u-Bn8|!QT85#oU(GB{zr%%0d@_K<H*ve!@?%Xcnz`-c!KHzJ>NBfD
z{mm&mU&C(H=-P{P*QOx+TD!6)yi>;f-DD>7Wl~v4ZRQ9B!o#DmrY3&}UB^wQ%WY(p
z*^7?X9sWg>ynrimFwoYk<!u%b4k@5`7iG;SG<@Rw9H&RV;q0815c!U5YH1oyBDTiW
zw55w4nJ?%54>e+@i!cIQVR9k`g3;}Zjpb45+ix*aN7u1SD}w3ZzJ2?6c$zz#ybS`{
zkcGT@FleE~f22x^{pDF5LsBcDl&p62!kDg>mX@xrE({iZEf4iv2~wY}g!)%xSb$9)
axyE{XK5FG&aH1gu{9RMhRLs0=8uUL<`)EP{

literal 61180
zcmeFZWn7e7_Xa#O46Ssiq?7^zD&2!LNOyxGT}t<isDM%iAl=<9jY&v%NGQ_X4euU|
z^E~JOetEyWA0E%oVGiE0_qx}<*0rv+_8qLMEPD~}3LXRkxhO9ur4E5$g0HY{92oe4
zpi_W?A5dp?**lQJPU;2lKTjU$%3CNYLD;}|90(?q1cHG+1pEhqUO7J*eTo8<>hE`T
z==I;nfNKU?L*VDfLm>L#C;E>m_=`U0*H4UO=s#CXhW$Aj6OxSa=R2$$91Zc8lJEgP
zaGm7zoFNc`Pw2nUNOl4$Fm8yvl!T@Sba@;*K5`)8>|rKlTe~VI>T)i__2)qsp=$Tv
z2YvaZq@5=3!aKrrr7W(r^@|lBRR@c|#@$<)xGXGRtd_4pF_$01o`(t{T`pO?oj5ZQ
zaPp~hp6ldx9@7xp<1JdM?s87ln7}sk+l!wQxxBKnQtxpU34!6z|MNlQg0kDAv2$=J
z%*(U2v$GT2SO1x>^W}YX84*qQ!#U#K|2!Cdnu}uceJjtKSfXT4Ea-e@W@gAKC}w~D
ze0QUI$yCc#lg@_~!uQ?5!Xi^aXS5-%t(`cU{PjgBoCpE==L5xw8PA>1Vm~o9I{Kzt
z5$ZG<P{et^mlHO1a<r$Tt(_}Hp8jsAA?}g=!fx85*ugOkBe!Q4{yh=_%=nZH`7y@b
zG!hmpzBRl%FJ8Pj+F6>ragAZz8j}B@v(|0J#>S?ttxa9xxt~2G|A|70L=meRosw|-
zMv%>Z(0^M3iKv3xg;<l+3^KLX{xBvz9F?-QwRLb<oq8WoAtq!a-Gec8c<3eFScB*(
z;)d|uD#m@7U{=gJ`lU(D_6PlcSrr&+oFoW`+kQUp&YQunQjIJm+K~KcWmYWC>(}RX
z)!snfRaUy~t&Zo)NR*|TVAkwr1Sl*SVaB*?q;k_d%)K8;E%6`rLR*f$68YG`5^GNO
zHD6DWXO&rTFly&vcd|si_nuo+vdho9;#oiP6Sg){fgSJp4tTu<o9@u{Z@k1szB-XC
zG-^V0#Q*sOz!ifunx4da=?Lx`;eO8b(&^57^4OUB#CGvE%KnqcdY}c;b#iU6z#ww0
z{Y0i6LKoyk*!ZTINohwxm{eiw&c8>e4E<b1ypb6;pK(v=L!E3pB+hb=t?Q*M?Lr;h
zz9e_kY{O*G{LtOwSox`s8*3=1p*p)ucBAP5nXG|bTPFYQ9#FU!!_)<CCH;-ei+2*B
z#R^q1k$h%3Bcq<f#b%YOgfLUl4LNVIxcQ+QzS>~i6FawEhhyWV+3f?2<KAl{VE=g9
z`8QM|?pxD7saS<E)&BGy2V<c^c~gU@1Z)NFnALc$D`hVUFq?!@=1$nUfw{Is84g3Q
z{9p?&Xw{rPmb>!rYdPS))#YdSQNcX_F8I+3v88Tqgtp~QVYY6H!(@Z6l3*ZgYH`sf
zp{2F8<W@2FYK65yx&0H-A9p{AEw#)4pQ~|VGJLp8da{^otgw_3G3cWS$qVPha&U0a
zZn9-TiQ^#c-`E!Q5YI{Q%4MbU<&{mVaXS<J-yvPk3~h1zp-RJ#ThET<^|ZTbM=%Q6
zZ?eYx<V6$WMp)0Ptt~dEI1*16S?Ma=w@Z)vZ-bLCPhAiZ#>yg=CF>PpG$h^1WyZEZ
zE-fzJb$HGAL%~;*HsQHdm7oKm+lA&8R+4`&#ckcDCrQK-*{n*~JGV6&gzkyOx?4WU
zE3V4Uo<~5w4G(Ac30ZOr7TvP8lysG%TahXgd_W*n_EP5GZd3weA=82{#y_oq=8(*0
z;0#H9X6e@&&a<F?J2dd|rQNn|>0+{yRJm5O60d?({13)|FFSein<-YGLh=iGWJ+1g
zCdk*>mbDTkp~dQ*eF||)D-y3I))KVtZ*GPCd-0cIlI00yStO+7<yO)u-H{aow!drJ
z6@zd0BF&=MQvN?M^Bg@R?m?-V*vuZA^+9~gabH(nCisT291@o{+viil(HZsN(dPfT
zg+4qUW%Ef)w^Eel8LuGW4b-5eb4#7@7VB$**nDD3d%pi;*L3M7crKqyXpljNY<=7(
zY-sU8J_Vh~PD=6+wY;KbHrc;j;S!AR9<N#f?lUEQotU!OX%u9*ZrOTH)_LapjbqAx
z9S!BeyPh6e<1uo1kroFT*;?oFq0Y{6TP<r@_Wz8;Llu#d2h$xZmVCeRK4K7FCq(`L
zw_Mb+hza#COCn9+@oEL3PX_i0qYz`%v*jj2GQ$4`A1A!w?7=V9v&&#g9pCFhc>ety
z#mIw#oPq!Qj?%@3{`(G8P?#yd!q0y}<a#{>TD%q*LGZ6f^^TYx;+7^w`!AoL#3zCr
z`Qa@5@8bUz82)FL|9Q**7SaE(<-Y+L`9H}0U$FRJ4E-Oq_%90iKgRVxBKrS(3f<!N
zI#>jUK0*eSnVDHrBUE2iSy@?Cl~ux=QXs_0$jHvl&d*;}T&%j5;+j1DC$mLPV&WiA
z#2%N6x4`V}?IR;2FJ8PTv6@bIn7KxyPtdTfB<1Jl_weCE3zn~z$2T996aQHm`^AvP
zkG{hJDmWf8h@Q2HdhcLAQEvLcE2+di@2p(v25*iA{LMMKGa%eeMkFtxsBIjp)vD@h
zK~Yx?+q=-v7cyD?XQ#KEACjQ2I~9R=;5(CRpU1btu9KRZ!nVRGeIWfA^YdYhh}|P=
zdA-pwNerM7MZ(}sIsKWO@NanYVJ5SF<M%QclVoJ?e>!PeD9%!b6RpQI9nWm>t&IK5
zkzvOf3fIplHoUbS(!))D!8`XU4;B>u>KXzPFJhn|lRO8j87iNnbbg=!=aGRovA)bC
z0T;+aX8O!=B{}LB322B*k4nGCNXcYLB|lm8U3kX)9QBpG%`z+|WA=bN){PN~aEId{
zYty8S;p)uEBcC<3q(w!^OhdeInjhfM6A_?fC%kk^G7k0i)xBo=^F#)$%TD!_)Vpo(
znO10Tthe9d79CK&0<6_aWJ;QEo~_OT+rXO-mffIuzavj!8uIGG-3=W2sr%55li2ya
z)L`d&iW4C{a@@S9hdmOcxWZkpWFRO69uWllk?z8qHB66*qP@U~TbrksdhWo9<f4&!
z2R<|X?7k(1x}iL`)?e+s;3bUb<XM!4p!#u$AX#5x^#ACVC{-M*A@&^&_9Wl(_oeqt
zPpm9&bYKMDi<oDEU8SIh5Nu5Kx&Fy8=~G}9{;cHIvzny(ZjbQ$jJtCY>{S(h!qvQL
zLNJ_kEhI#s;8^poKmeC(`gXX~jE%qGXG(>EZH1V}gW*Vlamzkmzx>Cq5XqJ>i^KAK
zf9ozzl{KwdVx@0b@e^vvZtzze;E~yxwaNZbQ$8@5rpk)04TaMT`hK<HgBH^@hw(8^
z86zRX_2h#8<l^^mt>{=2_%w1#Ha$1vtt%HEU!#&s1AYXBjo@AnU;y8?VUG1X+FDuz
zPjE>U6cp}+L;w0N5-AJTh^Wv_9(>dj{BN#9Mtzw|!l(PwwOWsijK<lE>PQ~SD=L1y
zY#IMDDakQ>(*NwlvGHVAr}1z=Ls{@M?SD!K$SmL~qP)~RSSWMcy8Rz7@F_WcW@9W1
z>vu;-$}DS(EY40(8c%nMglA34t$OUM#x26ZLS{>di?a=n_?5xZtHDA;L*w`zJ6l^X
z3pkl3iTRRf-I$?AB5=S!B?abP1Vdo@@giQ^^B1Z3zIo0ifHh5N=p<1^wmtS`#4^dA
zQ?J-m!rp%6Q!r@)^IM33a9pE$JX`v?#YpH?_4E$r#Lx83wzKm?LPDyY=fdd3#h^3l
za2U=Lb)-`99l>Q6As<)`?_QLFLyVAXZjG4#>G43Gj{DbSpoEzaHgt-g`EWcRtl*>N
zn<=lTV10kVsY<go1Z~qP8Pk!{2P}tLv%9;y8H&+0)z1NJArYET*i`lnYAJdo%+u48
zf5KyWxa2;0{^@p>cmcSm#I=ey`i(w!V|lFSyHh&9#z5U{BF=R+xnv}to=enVnSWzE
zGx!ziCQv*AJ+~LU=ix4U{X-4Ayakqn3H5v5oK*-9&z8%&7IU{cg}Hv{uR_Bh-_NBr
zL@FHX;+3B_o;P0<;FUu!Xkf`&b{RkTF-Lcmqshwme6hOq5BN(%MQhrYgZX-CqH^0W
zg7g$t>a_W-78v&+!b;#YFh3@#sZXRT<q}1wDS}(=+@$I^o`T5<U=EkC#7`?1ePmCr
z^{>E<T4-cJIW`<v>`}a+<kFs<4io0&-jbY57#JEF>hGU_Q!P5|i~1>b?&-;jP!7YI
z!^ONR`>{-a2Nw*2T7)~R3>MI~udb&|-n;*Enhb^mmoz=toLLMSykq&`!9r{OY}(gC
zr6e&U9o7qed*kj2(aRI{V?O=I#ajZ_zZNhFLo%0fAR(QY!#9D{$tND_I50Ex65pEd
z+q;QZw>xUPxLZA!C~P};gL&H&w+vNA_2Pb*;OypCuA!BN#-s7Ia`LG9PgqS$g9T;S
zzm>y?>rmhO-e)I!;@jPlT=m<pMqC-xm^BE1>nH&@uwzvAm*hw`q2FB{XNO5QMjLzO
ztfr6FxaN%vwPn1Z4M_J!^7b8d3a<?-+Cl1U2H3nKfZL&^E?nYn0<v(?-Qh2xRFNL5
z)pHaa`fnocvBIJ753C3Xb?3vZp{wNY)*6obw@OP(Uoy%PPzyNiE{`1U?=_y)S67c@
z1Vtg}yq8Pb@=c_cnT6e!Z(2)#SZh3M5LN!ArK9#S8CGk9_b>S$ya9JiApzDHaOxXT
z#kcYrygQcYI;e;B<38PyE~q2TJ~=z+@~_Fd%xm-Jw&O_YXXDaGGYT0Uox1GW`Nhq@
z%|X<N_*5XY+E^aiXrq9Dpr&vEN;}?NAcpl|o*oW0E<V}qDu+6OMPHGwhkdqN)fkh}
z(^GW3u2wcR;s7sLFj;BOxiMtu96AxrX|z};y8khH6Zae|Q4aVaw4$S)p@X*s#X$ss
z!fTj;2+hHHn{i49^%S2nHtW>bbwH~#Ysc7U<1;9r3<kU`FVb3WVC@39;?}3czaVpC
zCSJs|wAIn!>Y(E_Zj1JouCB>)>pnE7)n4ypIG2E@j1l3Jae~g7tKWLWb!F*%w*jQg
zo$5bA|1&WN#l-YJ=w<6zxA834k-S1V=Jw|i$&=eD<HasgwUXi+pGZ43h^;ZJ^mp@x
zi^|EAp2quZwzefVpNSp(e629=cCR2)>}a_xa?t0|r$-e*slQ8Bpis3P-Z>|>SIy<O
z@q*IG<>l$j;$Ve2daCiTkxoJYSo9vS=lTF`-K5h`4tKco-Y^~tSawp6)8-G=d2Vf=
z9D>O(+#U`;+c7!Q0%#4^vS>&Twa*j^n}^%b(9n)HH$9b%(3UQr(%9pB2zO^O<*VN)
ztBe{Q)wlnY?RbCsM&MU)tDmrTNZ>IcWSsCFGIi3xvA&|PP`R&ca{mkevkRAdOFmw{
zeA(o5Gg?tW!DVf=%l~xi!Ph9)_WNPiR}*fUJr4CV@jIAlrt>$<n(a);+l;())3ix&
zE<Wv(=-#*K)69Ds0&Bl$nH0H|on1d4MdR@d*V?=3u-es{uVUU@HWmbEi<basx_{(E
z0d2&yYTN6PrPJ!Jwd|s`*WHOM@_F#>-NOV|nb#kOO#JIhd3kwH=4HiW#r^#h6%{RG
zIyNe7hfWuD8rAi`=5{FS&+gAeoA`YqmethOK3xwK&o3$pH^Q;}6*=eCrv`LP2DauR
zl}!2<C!@0xy>h=QwxC_Yg#|cT%!Ov+^^&GSqgsdR849J3Y+)SNufO~Lj4D$(;YzJI
z={4o!PWJ{4P0e(>(b+{6|3i(CV-@j}ZTH3_BM!g8H$@iVD`DL=Ok7+lCFQ##Y+PJt
zgH;U=_=3XJ$g+O%ksyv@=Q(9dtfO_$ISF)$7O4m_k!V$O$tD#T9+KbTTQ-HQvqi_J
zM6bmh2mPW;x-re+bVcobSt@JGuc{{f3=C{o%V`B4rGK#Npq2eeE$o)RN})Yf@47T7
ze!3A(Y<cjjItpB^J-Tf7)rSvv;#km1zl#q2(rlb#VQy}3Cd|wFN^_lyO0sW`)N4Lz
z_VIC{mT*w{B=0uX7_a{n<G()jzM0lL-|zl@Z*)WdErjcAh#b4kKwpSU$~c~4U)@^W
zR%fx<M>{f6t8RKxgf4fz$=Tr$qaSNY#)8HD6|#acBv?CN;^V2kMNDy5uqldZduRYg
z(<`GgsG_o;#N4;|q8GNcDdu}PZ<0DVsO_wJMmsWoJ${7bm9oqcY41%u2?**EjQDD<
zL$s<z{Zd9PtfQ91Yr%c!g72U``Qb$^t^$3{OZo0pSnMe;K#91WIHTDL8(2BH8J17I
zddrB7tA7uclOI-tHvAg?ao6LuoR^b=bD5v`DpFJLjn}x2>fiemM6Cbq&G3hW4Cb7Z
zPBwI$yoYHQl>5Y(%@9>cf{ii3$D!XpWa;H7w%-erp$&MW>#rdBhpiFG6(hB2M>6Db
zIb(l-$(h5xVNjPsvub}i{qJf9LKnFAN1@Gas=tH~eF2;p2-K+sD}MDCB%R|D_%I^}
z2))$O=lF+`p5F{y8s2o3%BkiBnsEF%7Uv0?kLEL~H2%X3!E8|x0Fndknie?!^H_Q!
zZNNv0!$eO0yLNX6c>e!~K_lE+4i(-1xnD0!F-Ui2XJ>0_Y7P$%H>R8OXlw`bgRPW4
zgwOr_X>Mt`RBzJg_w?yg;(-m2YTW^dPM!NbvkYfnJ~=06!BYHaBwH;_4ES#I<Z4t@
z)R<$V@AiBTE-T0Bt||=7fQS!@SugCqs<~||Y;0s?-`6SiAv{mLp6n6(vG%2Wf4%qt
zP>w{Yq9<+hZs7*3fjB!Sr+TGwjE7@=!h6lg={@F#zgeT%$7cXSd;z6kJIKu|Y-?#*
z55>GF4eSfMTI{}NES*w~Z32keVbQ{1cZy`%E*GlVfUuG5$<ms?FX%;huFr}MFmoOK
zkoT`<2H>P?pn2ccY=^-+C$p+6J;THMCu{yDJw=1L<1T$l8?ueLM)-?`ji-n0?d{hR
zJ$?WVu&nLfa!wkF!kgY749zz99_=plSvDb|3d8gKiTB1$@|<*dDagpkC@J^WCQZ!N
zXFKBDmxsSMz(H_Am;$bi!TrVs4k~~mfc}MxpYFFsvXAo@*4Lke39oiPDezNK-xhxK
zv*pszAP?`v{&t$b*VYcl5&L~}?kr{Dm2xVFcM_8);vhQVQ{0%pEq?hNn0`>ImRAFC
z2g6~-)0(I9M{T?@W%1+1_}1N>{A__-#o7?Ko*x-KWOq8d#{&NN#(KYoN<E-(i{AmW
zJ{ayP+7vNpFiu&MT&vHxxqoJCn9o>Z0uXjFUeNi?+-mI_Cl^<ELQL7Y`)=S{&6K&B
zb+ezQl4w2tVCvhP%d(L8Qz}wk5b$YA0EvwuWGhniWUz{gioHqy#u}mfUqY<=GC!}D
z%|1V?J`Jds3|}@N6K)hd%2DyP*<b&zAMQS6<X+vXa$YV((c)V@*D_G?G+X6Q#jmNB
zd6Bx~2z}i|d>aJzb+DLFboYdUkV$Y_@8w(e>KP`Hg>{>4oMZKm<|=6_0^NuPqO|EQ
zixz%Wd?Rt>Z~X8xxkA1{RhYaf|Go1HgV&AZd7Yuf*)iJah;;lN!q5@ZJ4bh}<={OB
z4&{hfj9<>*{8alYQ4w<YWv_iX-tLz$nmjFIg~p@R+L{9eZwZjc+_*>hv%sKgkstZ$
z)hos@fe(5cqZPKUD-l;E%O3=7z3T<?MV?O4AOS;-(^M0RP2+3i*47qdsi63xf!pVJ
zz})#ef@<mxK*Sqletk`4a95|(HZ3zr|142d?7{rHME%ilcnN8yPlaKvvypQLZwa?E
z1sa0@M8@75sPMva3|E{2`80yQ1a|EEMps2avWXp5>%Mln>fV^gHGZ}?rC4P;5(P;2
z$qSR?)Q00qS@0mmq!aZY9VeX~B<&`Xh#!9^Bxm-U<xc7e2#Rm6$Qf|-KQhqzE|Oi;
z>*~ECD}LCMZMNQ<q3FLAH~Dt*iAyBIx{BZC>uAGA!DUa3YTa1LhKMV=Jw<H1EbVue
z#t6;%ikxM`#p9O`8yAmQv*I_m`&1gYdllhLM&2(m!0_jDkf)<VCe^GHTO$wd53q?^
zv#uOHs<z`80TWS!-9Rb7VVa?zl7<$D9<807u04PLJec$v;6hIsWkOWhll)ITMPsv@
zJG4R$r|Hggdx|VVy2Q_pzjD^vfix&1BO`XocRnRBH#b)(DqpDp5H*wQXU$@}C1qV=
zwb|KnRcmaEVZ**s;m5o~HiI?yuM*298aGy+tf#!MKce>kbTiW0B(Tfn&_qMp)wO~T
zw!%Yt?bjM3?Y_hGIi|D7aGIU#rB0sKD8Z;7cU(&<D?Su1a--=&aUgbJ=G6##6kuYm
z00Y_XzMtTz`j#r)0#d4m<IS&Io10#$A2(;d#>K|Eq};J3Rg1gB!;wGcUSTX`6N82r
z|Kn!=w^~lIQ}qY4aTP)Oiunl#_Urj`JTe@gXzgt5jWinu{rb1p5^F~N{Ws}mTb4_2
zor&%6c=OqO&@KU_YbBVRmk{6_fW;qV-M1McP0!jw%gUda6h_LjY4Bq+*O}viB(4kZ
zCdTqeN{Sf{lgyN&$>FPDKdpF*Yqr6qB+sAd<m>j7;k7@DIg}CqK^Z$8F5Xa<@%6!j
z2YiQG8Gvn<k9bLG^mX#RoqSCeC2J(L(thwEDwG#Hz=@{4vpwF3Pa9gyEg5Y+<}vqU
zowJAm<8K^87J*pmE9%2Tiz>uK=eO<YCrRzH9X>+gwJPl0S{6z$w4e2Jd+)7`4b4;p
zU=zBnB45SCT;~16s}k%|rrue7GGP5t@o08trJ!i3^m6BgN>PhI^*L5F8T%bvCD1W=
zv89&_o{GP{IzINv&#nI9wod|`=wfynn(1!UT-+!0-~R}dlf42*->)JK*;_9R6K;7c
zu`>)T&R?R;FBmTKo5a>=o(mOJh+(g}46&`K%z3<`a!=J6?+*>Yc?;QtVA~-U2w+C|
zR-q-c`raa2IR^&g;`!cQN#3i~I>w&TOHn&cjP+y~{xj?*J)5(I2Ho;uPz<d35WZ4%
zr$U-Cq1J(=>JF-eEWhnu65o9B{q&2@#|IoU>~40oW~1Bk0pi=5*XFc<3_6<@H^(8!
z#q>{8#*_&F+Osek4%y^uu+fdu%H5`w(pwC7`DfU=2bLD|iUtQeMzs%PEE9V!)=!?D
z?(tsxHr;IW7NT1b$B`*)E2CliVynO5nb(|bMuoJthHZVlyugqA1FOXE>88enx58pk
z0l(pXeq+;k!p?+$e4g&{eyuz%KzT;!Y0_SgX^$qHgx(Y;PHvvo;ej`>c9E3j?tYd3
z5r4-?F7^1OI<K8YTFPwE45jt_W|p0IMA4M7Y-Aso)LJ>Yu2P{L11KBiZC}3nci6mm
zu9ha_TBY$5=xHYSz(JS3r)}W4aG1_|+lzG!#%{m8b$?mHS*MtG-8TGs$-`-xvhQVE
z$-NeNY_-8}1a19MK%kM8^4p`^QS4pFN;(C~N(0bH^dBU=d`Y}By1*zCNg>S{;paLQ
z#qUm&dl)3<I~OAArTNgD)*v>~+bmH~<Ut$R@BAL|0dqV2F>Sdm|AdOi!9xnGM2!4E
z@@74PXhtM59R3!%dp>zDhV{OrQ%(N)SoTS;r2?=#G#BJwvk20Cw{?524KXw}E-V`j
zP$1kHAPrE;w=LvdtC83PA-8(gn>WCwDz`U(vwm;F_O_MsKulxp0stw4==mP0uTdOJ
z%lhLZ-lxN9jDBC<P`~pZt_!;?plcZjbfkU6PyY(f3If)NL|$9%pMqk)lpbZok<_-w
z*WgbTseP}ueX|=@R<?Nnc+m%eL=pR;<^m~<0J^f9ZWLQFr8nsmx1cBbc>Z<LaXO=7
z(Q6g41G=;Qz%ZYaC6gh^fSo5yCvCl1Ds;Y<j{GlfAMiU)9Dkv5w6fT57C$Y)6WMHG
z%*)GLNps0kip!Ke6;fPv@B*nGNIRC}fQ~dad8+*)Z``pbzK8wL<zX|H)#~0xGu_a}
z3$BK@G{r)PPCz9&hgBk+Vj#ssX$@<hH9=8bzN^lobMm)xgZ+RI<hRwqA5JGek&~9Z
zH)>nNyEo}DTr827c}+RqW6Zva#<~4gr=3D{RFsW^C(u=%hgRe&aeo0)9(lBp+ej$?
z#HErrxlalULA|Md$D7fOh9LI~O<t>6;#3ll?daP`cCL0Y*3L3nv1a%Y-FTewoJR1`
zPe6EtqCOJ;CGaQ+zWF?*gwlc)i!9ekZtnQ{cA<&cPVYqzFP*u_ZbjS&e8G?x-MsKR
z`eOUBN`bhI)1x*2ojen*s~~!YlU3M6ZgwUJlka?fyVXyjZBS{arkm$6+@aj*^`_89
zjoizx2xhu9Bpu(u7j66M!2fK|e}}RY<l!LX4>2tk(MUJ4xpl<yKA-Sk51{+hc(w&n
zH<DfxkYWMu%eXF%-;mYdGZ!CsH+);CkVG<&V8;Tx%5k#rnP4MXm{lWxoKhYUqKVa1
zQj>YRmvuZd3p8%_Ui7UQGg&(%*Wo(3{cS-cxJ(rw=#)Eje8$#cJG6%wv%WK-<lax7
zta2HlPGLXcydNO%?-MD`w4uDAo7~t~{?+C9R&kU)`}{!BJ)2$rhK<nuw8_pZT@U{n
z4n!Fuh_{=S)g@R8#al67FEg|6D^-()N2r|(t@}x-DGADa_M_?EDUBy9j<z%&*$)>)
z03t-NK@&0J*{m1A{Hg%ebI523guqxSy1Adb)RsoEH`ATu&Wt832~Qq`vG`S(3V)_a
z5kj+|a#+n8%PF%+YhRx;a(u1wZJmYcZJ_$AgDfj@wErpM3cT((PBxnQeskE$?eL=u
zowaq}Or$||1|(gy`0LbDw0#e+0>xAwoFHFJ_5u-$xs7Bfpc{OWMeFruHd9sf9I$jT
zw^c=5jch&ZaFc8A_up)w-I<;5W`n<C0_6ZE-RIKu9kAH_8Ra3KaOlAK$~+HE9(R#*
z5N|t#6_6hP#ws)bJ_1?6>uH6Y|N1QiMoS9V`Y^Ja`X7UykMt*w6QR>1Lss&?3#cB_
z1tmD4gF=Yb<3TIl+_NWGf7{L96HN&=y}u;ug+fHYbzwB=J?UKUiPv{NdIxY{xaIxf
z(&wMwnZSUY5Qr{lVSfI0zBK5*c6KhajFbHcjCvV7fmYRwyYL_6Eg*@i!YNcKh1`E*
zZu(pnf}+Qn7i`+u*-2apPQ<7KfZW9w{_H9eaT`6O6onX^PwWwKaa4}PhDqkoFV|a}
z$bd}oYnn`;C?c?t`6dW)3<KHa2IU=Gd2&!$YE%6F#}5B_8BoMJK0fwP{C=2@YvuA5
zsvOIS`Pa0qB=ivFs2ej3L|F(>8B|tQj(_Upc^l5dc_qR8&E1$k7lgp%0X0x&<9f>2
z?Ti9h9f-s?3BNhN|7n<WUL$;^A(Da4=TRix&dB=X(3DE<pS81y6I2>E&O5XrIU`yg
zBVyrX4|dij8*_4UfZn#|r7!92?HxNxvS_pOiSguBI&W9aT6APr%4r&6ju?>~2NS`5
z7iVe??3E4*0oM}V;(;D;1Tm$APW&^&^IB8{1ymGUmvD4vnW@;5;O6Tl>w_|h44iaD
zq?XUZt1RO`9zZ_@t|c&qad(esJq0{zLhMkMzgGA)OBWL)<lT{l;lH{=rz8Papd+}V
z^xx_M(R>4tG4?v%{nNVL^b{c>fqJwcfyKF*DfGfR(%LL{DN_uT?UEq1h^(%}*gxt4
z3V}cWe&IRy4wInc?ror&byaOyj9HQY#|rxMw4WFuzGu+h)-*6!dVfhb{1P>vo$jz~
z&?zI47&HnI=-9q+>(8QyU_${d0%R6iIyzaocXW38&npl>iP$1C)iE}|LyrJ13B7W+
z=JB7ad)#f3dW$EpvnkhC&Q@Dms(!25J@zN@<yaKr67a;2H`})VR*B`pk=hbV%2PnJ
z!i@LI$RZBYCkG_4RtLME%>m-p6d^@_11%9mz06Gd<2ML>_~Fh{mKV93%|HnW$g#CV
z;@fH;+q>$A6qJu9v#>&xUtmRo{N4-D+rA~0mA@x8VV2|R_hixvq+fcMo-S3d#qeW9
zt}WRp=asupOT<++6OJBX=SJumhU^|u5V~gYI`H+MlOeERqHeGIwLjlYZx?;IpD<8R
zO{~TI^W6_)^1{6o$-qU?R6H?o(`+zBN#1WR=eZ$TZjx(k3L<7q<zpCW4)#kcbtVGh
zN-?f>_OrO(`uQKC{2fh{*M|F?|M(aBYy`a~NW#!n2E9MOrcZ$7RTkvt7kw))^66_(
zVzrf3^HX~$QR2r!7-y)j9#!g<g9CD)>j=p5dx;eJKQlmd!^yVA>JGo>KFjTQzZ<zI
zd$sC=Bj!ivYaPrNluxd!GQwy<kMM2_qWi+%dlkbJ2f6fW%z`OvvgG#P^V3mto3=}n
z&UvMXmP4U%^&0?W?>XiERq;MBueTTw+Aa<V`xaW~-&(nfwcDB8O#)YEX=2f3P0M8X
zdu11x{=st2{18FYVg1qo-_c8S`A`bL5EF(H|6ix(!LizKzGCC5mNAQRRVjTDVh*HC
z1iDIMBd~A*CQ4x?zQ4FJvryBW)uBvDxr4?FRtmWdhpzFJ@%ITOZMELy2gHb`A>gGA
zv|?AnfxE`vO6N{MroPsDQkK){a(gM=4m~K;D()Md^i@6Caodsa-zE$bec!pFd&Nn(
zz{rF7Go;`?Ox?F!+FM$>!ETdkN}H5e%ZY@QZI7}9C1!LQ@I)dxH>G!ayk9a{bmC4d
zh?2o*e9OO<adqk%l=LLlz0ZLZ;U$7q+2hz8l}Guh$?uR+&H$)j^ROB68QL`lXmK-k
z(CpO+C!j4pd96+lJ0-elmOh#*Wnd6DK`yiy8RI$CiNjp??IP)6tVLW@-biN0Y+5vx
z${2e5>p1f)2I205M;zM%^c|8-?&v8~-M$in_yE6qDaV~uKG%@+WYqMw8834UeV+xd
z0av6iy_5L6M`P)vMpQF@gA@)N{TS#m<oSu_W02ff+PHin{SUWFEI+fXvGtioI+CzJ
zv_CnB<({<W#lHIUsG#s;&L+-oKRSuga6}ypkA_@k(f9phOqN7Vp@}=Med?`K^z-<}
zcCS?{gJAV1TK>~JMU;iaW!Y)4>R}*%AofMi0*{k_MKjL+NJEuX>z@F<uMevCLmy?Q
ziGy_L8NP+?UvgZKZxBnZAf|h5DEJvj&Oz|exVTX&8_9mNn&;rLz;%$`$N=HW?F+x}
z`Gd%c)j#i)OWew+D%F0-f+Kt(Qs=GSZ6@#D?YfbqHbDmqYD{NVGy)<<!D{Z4QThCP
z4Nd8xzC88MJvpHCqWNZXs>(>UH0ow&H(GLwv5_BIY>6EP;_ZKwV17CKoon4Swu&o7
zj>oFoOE+7RoC~Hk4qvYn6euaK_VKumt?n7P+jAZ-pP7dz#-Ca+r(ix6eA;|LP=@NX
zXtK5;wU7aqR~4`VI0z;J`}gk>{x*5C0gQt^X<<OulB+e&*}ik5Y|M7oTFphqLVGYM
zZJAYtDVECC@r-}$)$Z2@i#`d3yMm9}mLFP@|0K)SAZ*wGu_gj5x`94I0r;DyjRxg!
z(BDTSyKV_rM#e}g;EVg$dbWEciYhQXg#{d4NaQx_T>nALn*TZ%KvOaBFcgix(6isr
zFG_0VXkAHZ5vjz}QzUwi<f6(+O8sGg*1PIH@hDywm!+`Ki-gDN561CkTCb=_c@NH1
zUrVs$vKuQac=*09>Y`(LRMG0dV632>-Rc76(zP;2|2Wy;Lu|j)G6nN()>iSe#mu?0
zp7Q0^sJ*B?8;6!e53l!Gr;6k;$4Xz%Mrt-XjKc;OJ^EfXR@5CmZ%y`&EDINEP4_+Y
zlbU2KOmtJSm_=bnFK17rgo~}<bb#O+4*FZX&FQVMeosAJFZsdB(nZ4Y6q)O0alNGu
z4?4odY{e`HuBh$Dti`x|3=juN#e{_h!`$%YqqCzA#({Ki`)hW0^3`5@(GVcxj6Je<
z!?>(zD(chi=Q5+nUo4(&pEOj7ycM1G@UA;eG_bonR%+qd_xNB}v#(RB<LjB;cHT_P
z=K$B@(+RrrLOqABSgC0Z|6<wOjgPV>F{Z{VYT2pSwo11s3iXOD_F{_?4qV5CNzl$o
z2%OU!`Gxtna}ps?m7)f`zE^rmcI(HM-{-$1MGuLwl((^=_<PCZ@cdAGhseD*@;pU8
zm9v9i898s!jj_A0p3PQEi~C+(YAK=N7D$_vJlI>a_xVwUd3LxG79&jC!{po?KrHKK
zH(AIidx7T4!*7gq24nhj9F4Wr71bpfYG%c<`qJDWr)dQ4a7rVr|EHmcmAu8p&Og%s
zeMNyV9}nBS=)R5TR&|(CtI#D#RaM2n$!grLos3yyUAUjb*DUg8S|ME%4gX2PBcGjh
z*|;53hNF4wSWgG9onYh8o!PrzzYMUv^xljg><!kxGG4wf=B?J*@64@0P(bQdW-`R(
zw_7%wnb})fssYM~@211M+S*E`J(<+{bf;fNp+g!D5_miW>m}!JI02!cG+Z=oYSBPT
zbxSe4yzb-`t6Et@^_-z~@5p_X;(?zg#~Fh(Gkg#+7m-HyHLm0I-D`n~uitn|#e`MW
zmFzbuH3pj0pH1&oUo%Nox%||Z>eR1RFdwIKWzm591r}|m>wIH%AJ@W3MJ;z}X`W+4
zx#xk#td+M?hCJEvSJY0^%0<^sh`?Ddm2;TrboUPDsq^geNEe4*X-=J?c(~Z{dN~jR
zX3G1XD=HWoDo_A8Y4S%KnTlKgyzT+8rj@8=S;Nq&b%*VsX}mfRW2!wRtzCkjclY3M
zyt<E5fDA&p-Fo9ndY(Riqis>gyhi?I{jFQ>gV#Wr&!|YhsxXuU(sh`gYBJMB?PfL2
zZlIY;V(I&nk=vrfYx$+DvERn$(b!l^N)G+a<uX}1=Ma`B&2+AssWvI-OsI(w42SkI
zPV66odrAQoWo)X+PRjb%#_rlEp}5oQr4=+^sRcx)*RM?HU(MKkM`AC`w<|QOIY(?M
z#3(#;aI0itWvr^m<0QbhaddQa!nj^v90U8J`X!$q^4G}8s67rjxxl^XA>dxnOHwsp
z*5@w2K-rD){4V2WmuR_d`GJ+r4Z8ieah3$Mcjx>g1{G!x_2*>6)5pffM0-ij$H#;Y
zYga?a{xDTD$`)!TbIr%??-^G%b{7e01Ah916yJVJ^~}CgljRu!jn{`atokr}wgE}^
z@Wh+n`xpB3U<qw%$((@Ig#ur)iO<3O9aQeHMeuHSe~jq&FK~7kt76=m;_TpXY+NR5
z6?zoEb)UaCa7Z&wan#Lm;Y&rm7l+rOwf$o)6Mxee3lqMFfDTq|qbper=p=JIqQ~@C
z;6QW7_Z9EyjA_43SWsNBG&dI*ix%D3Hjas@9~~v2wsS11J<6OII?Jth@INteEE~Cv
zb)l~;Y`NKi`SzpD+t0D9bXITcEG#I*NVa)ZRPr>IXm(L_3U9qGQS{!8u@pJIl>ROM
zTYftRp=D_ol(U7kJ3Nf1f^R|MeTi@jns7D&7QEa~|5xRFN0MFR@Mx@Zr!!ycOiYWe
zEIgrSZSYz`GjB!S#iY2z>LF@7{q4ET41XPDZbFiM<%cexE{CuOgf%MW;R*NXUiELT
z<_$~=G#keCWHDKe9>mnYxJR~=LFLdr!uX6J^yRhsEKbqY>HFAWu9e@9aVh6zWfT3@
z7IgUhtr*5*LeU%Ky4C2*rmu$m!wHyFlc)M7J6sB#92{I^8U;1FG@ekaxB>tx$d0ZW
zTDIM9rcqNF3BdEMr#{I|s8C99Ak-eyyf1tQoo6{Qf?5F;^CmqK2wqA@ZC}~>7JLD%
zmM3Rz<6`5yKG^ls?6sm|+bey_r|9gi1oQT$muyGGOPxz69)53*^#Yzzo|s#&a1}aw
zExa^-?zh5Tl)Rq1HsiaE->KEdR$ZUbX5QK&e0+RW)|Do&lh*&<<eI3V^HIf0q_F*n
zf;o+=dgmu)x`LnW3p3k{j-vT=TvZX3SJAR2kmq@HdB{=axSE4Hi_zic&GnVuS{Jnr
z)m%Xez{bH^Z}r0v^W*Lf^iEd#5m>$W+1WN}ZB(joP1UA$IOgisPVHFS75xdX6xX9K
zArsOgX)M<I0*vgN(Iu~rDqZty);ArOvZfz;Gg-EceBK(WaL~=58-E_pn|{N2csT#P
zXkF1Tg(BKaIByX@C##`LwBvw)?_=`J2>Tx#?|)s;!^I1j<4EGSZNJfhwU-YsMDK~N
zV~ltim*o6GPw*O3hV<o_7yzf;D(VVZs_1bNp)<N5vvg7%CJp+~o}z_Z(S^V70vJ4f
zmiu{$(w0Ifrv4W(KVM;}DUhsV`-d!Cg>B%pn}~5GekFA+xM%7BQ6ysly^X&iAqAa7
zt#tQ2gx65Wz4y~G;{V}9Q1DdSo524^<L@|$KGwwm<mF@LhDd}5ynL=KODIpYL}Y*#
z-DLaws3|UxqWgzZ7D&@)z_cz-)T~5}AvJ`KHUE$u9Jn%o6DLW9Kq9$#gr~IU4?IPL
zJiG}Pk&g3w`6B2)0m!;a>r)ek(1Cefa@5gN_nNR>k++`9`NKwmJsbf2dWXyUmlLDQ
zMPTU>f^+>YF^`_NpiFt9+7ukexz{{zUisaVas|yzk;;+h1BR07)_H7%(Fnr^S!)7-
zij%>du|fH&pQLW`L%Lhi2VxwcP&naWCvcuC6in(<J3}Tq4-XCwf^WPjCBk`vu$GT$
zKKgz_;YA%Wdv!_}Wj9&z77K{$jqoo7)H>>_-@3o8&xY}z3_Q|*0ro*jH-hdVhexll
zQABuTlw{s@LlcfE%}{IF{{S%`M%8!|pNXEia4H^UjtPz0K*%sZqpYM6{@eMgf`X16
za&swqLzup4ev;A=pJ&+^=;nSMsI>c6wqWj-f1IHUzrzs`^U_m)WFbj>1)t^cVg+Ub
zVIic)(WyBqk@+rSE04Rm{jToAU{0&m^y*;FSDV0kOTc=@bXP|Mk#v}1Zp#^#p~CFf
z*t2pna!N9K!i|zUa6VDcABL`c)Pv_E9ZC~!jlQ^5tpE99liOQ4dLmlzNY+DmMWyLo
zVM}|38V?-Te2#RuP9Mz-M&{(bjU|!`2KQHZo5Lgk)3;czxTLGJx!LdH^d&Koeo7R&
z3f-M}+syz!<|@9o^t|JUZ>?Z#>8!9D1I~aM<i{wz9|HWr;;M_@SugWaboz;(>G<pX
z?&#{tLafj&9Jn@ctYS&UW+J&Fa2KzW98r0gR3k9O@J*cSvvpSYN?=oMhiw3?G%n-X
zmgSY6K9D~6jQ0W8_v3nCs2Bs0B)9+;!S61qeFSoT4+CEvXIl=T@jj4F_~+-^$KL(d
zIKfIy!gV4n?!pS0Md!^p>C(t~evV~LblL>?<vpOEkS@tv|8g)g`ooJ;$-T^I-$tnd
zEjjSf@WT0qWuz@M)nrK1{8u|FusqlTzC)bqdw!lZI8TXDObc7xbf8kpdIbLUn_qqw
zT?wu>{h478EBqT+*R@p)*Us<w4qiik5)~c2Hd1!&I|4XZnMH?!M+sRFViB`^YwKek
zU7=03g6}}CrueA4{`V@kCyBz=oMujovZyP>>p?(+lf`;$K~HoY1sao&mwoy&;`1^5
zyM8{H0Xfh0o{5Qx?p~toiQX6_o(uaSFBYCQ#&d}(q97fF3dFd^OujCI>4%r}2f~Jf
zskhMkoUsD@#4~CjH`u=mvQA438E4}4r%l}r9}C3}Y%Dd7X7^6I^i29*eu?^W=Di!(
zsgX{+o{S(&H6h%6%yM;#_`I=SqlnfzBo?sH`=gQ<mJ=jWm~qnYf-Y%w86|0)CvwS!
zIojOyYQlzNnp8Ui*u?8$ke(v<FOQ?(2n2hQDEWzg?~eCSp8YN(z<8WsP@K7X*{UWO
zp@7Lo#n#xk?ys)T90|(Y(9}t|g!%<oAiR8kB#t5$dr-7>DCuDUf1E6+H_*$&+9B6)
zqwbxjj>p#!+e?kN(mqd6bd%*(CT`kM5w3=4t&Yt0+yvC-89<8LnyjSfDC7@356w51
zJyDx@Ych>kU2$K_M8%7Fh@f=f(H(iLTY+AF;4P`}AU{%O&~hSxnR|r|ly~0_0wH9W
zE%pf@sesogCvq^KW6!=Ma(;+zT8iEGx~j3->V`Hc#M=jHMGM2F1V;(5VxIfrzC1We
zB~9Akge5u7PISV2t*Uz($wLU81me$;LyOhT^SgdP-&ICl;@sD8_9eh`B21H_I-lk%
zdc<}dT=V&Fzw85ukVs2=1qd^stic2f#`IqO2Kp)xm@#N<-rbz<<~#T9bR41+mZy<-
ze&yNgb!ZhoFbL~>Tuho^jikhr{R#u1=LPJK;n6QAN0H&biF%Xy?#u9iXMt#m!B;&;
zJRb0ekI$<Nw5*&5F|e(KBO+lL?>Ze2OW0NQ)hn$hS=P!;RyLIHTLr6NZf<R<2z-A6
zx(~H9H9=qeK{+K46{;9Fg!ZO|Zlf87H=&)iZBF)Bt=G}wN$AnXX9$0w9$f|V!Zk}L
zf<I<eHB?>B35(p>8w@GWa<U5XhJJ1W<rQWuH!c}vc<=S@#^ST5q?|WaOlIvqg0?~N
z!(B#4JO7WK5$J_HC4*${c6iegfRMukQer+`xQp>pQVevrMHilYnFVWgveDmy<%|H!
zRAk{!1ZF3-@R(Git$UGg$??;R-b1!4&rZ8e=0Cl7wo7y6XJQ{eaHTNdudNR=G~tgK
zZr<N+*BaCIOyQ?gieGwa(fzCm=O!Wb+mv+1_Y@wR3D-)w%Z&Z~KaYyq-c{N0osZNg
zYHM$y=C?ZDU0iv;DpoHE0sAY~JKR6Wvl0Ob(29H;9CFt?x*w~kpjo*V_hOI<(sOG6
zA}bVSj^EEaG+wnSMs<=aWUs6?rkN)NG}2PrEFZ9l5`llOe|bZDHNq6iA#%F8z0_Ah
zp+C9p52|*$$MI7V8Sg&AJ~ah0?{k6nx9+_ZOhHVWRSPcrzIiIKE6)-0n4ofVC=P?r
zPu)Q@+FN0krgr~=<Ja}P<qiE@OD5WHOh9&p<7*T`sP}`!l*7f)$1ntu3x8DhXeYeq
z9co(nl9=>T5-)Du?0V|FCNIhhtWg~BASEtIA0iPpZ~_%r*Igyo{>O+mco0ehjTPIv
zh*~oxD!~q8G5>?Q!&$F$$&`Ld9XvJ8l$LXcBr=B%-of^CSumi7=U&OZ5=&*L!<pzJ
zZ>F4bB6rSq(S)Alx!t+fLn-O82=*a;qDlC5bqg7E9H)(wbuM#1c3yz2DR7s{>-`ga
zpNVU+piE><WQyx@r8|cNnuIsMI=T5=DW@7+m)~na_C;Ye_HdTJzR#%L;GH9vDJwS*
zxZA*Tugckn)8>n!4w`2@m+NnjdRGKy9c_a*b^HLUJZv(8gb1erx!d6Nvmo$w{a&PN
zzYzaPwvgy!-CBh08OJY9`-%;5AzsrMPZs$2(IT6svY)cwTHOS1C@(JS>pQ?=OlWPq
z715^z_u@=uofJ+y^K46<40@J3;rVrrl_X4{Qx@#xYSN$oIih|W-H|)n6}u4n&c<T{
zhsN5@n&~h!0=>b*g|+E|Q?!&hf_@pc72T!6_5So3+xSLCj_E9_Pnakrx88EA$@g$u
z{++tBv-5|q=?M5SL-O2-G4Bp{z~Kci_aWgIgPgh9d8#5Jz{_u8e96YAV&~h>U@Qk9
zTE_@Xo=}p^jN_q(=!#jtQ$~hidvO;y@8+HRR+4h?8Y+xv8lR`|KnI41E2zp{AkMH1
zxNcA39$H)5x3;x|=E`njQSALz_r$wO+}R-Ie9Y8DGEX1M;wwS_9>zMn*5>;Hc<{=@
zq@;M9Ph4QW=c@ov+m?gX8TUrr(|fLx6>Y7ZZQ9#oql1UDyZrt~n?}4!-%hB)IfodC
z)S(tgNuhNYDkwi}bZbPZ^36<7LKEW)MGb8l@~iZy)lQ56;9tSys_$y8R_>f!SQM3G
zPvzY(P%}wsrf06C0ByWLe+HbuGJk;;HcpXklfAsl+ggW+Q@d8?(I!J*1G(koLK(&o
zp^pNJmWILA3Q(B5iC#$U4>NSYwwUC)RFSJQOu0m`DJgk%Wp_+n{BfgOo97XOeo6_D
zamO(Hf;&y5fJYZy8-4hW*x0t~yW7U3Dh?6YfcAC)T{cA`x&dbi5c{xAhz4AG39yWD
zAE#eJqdFAc%L0lOd|qtlMYr_?$gSeFXCZ*%qT|67XvX}rV+fIq54|_Vi4^#i_96qp
zHAO`Pc+TJ7)$|%%Gm)C&%F|yY30+t)qB`%T1H1?aoQOjN>Okk$#0RDG<rikDFLCx&
zk{yjFOE8)V7P!;ttBPyP&Z62l)>izw{Ku0&<G65|-kbUh`>u&Exqrno`YCcS@uCp;
z3W8n^b}jTRpZB-rZ~2B}IU3$OquLcKDn*lh!@X97uMkaZFg~n_GRyGEqdP~x0vApI
zL^1ii+=hCC2Oin{x3o^J?b=4OvrUe##@=VV%>9qeq(7o*PKHv-ZTKrLFp9dmI?$f`
zb4cdm?;#LH0}Ow-@eq^*UC4%wYL9Z<lc;<5f}Yw^4j)XgD<5xXpQe2wxD*!|GcY<h
zy1^Dk4_cu<H(iT&x+5tW;9rXXn<LN}4InR2CpoNG;N|M5nKiEP?6ri1wd;`1&bHNr
zv9Y^2vgT8aum%d%3;EGSwTNkAxo03LS;+K_d!_a$wM`SBRErE`dPpu%IA8f?Rb#|b
z(m-I_p+c(3WH>Vo`Zk8>FkIakml!hPXy#>@O^%uZ-F4L8N-`{QJP^qyevK)<fwbJ_
zKhjfP_s4^P<dv+(11ed-TclxND=BMkPS$`&<5SU<%R|6LT|go*&q)ooLhfU3mTfr-
zOtV+UlN;#V7%%Sk`?YhA$OFo8b9a+%KJ_@Y^&<<mAK5%T46q<D%5&u;n5?CxW!R`}
zOpH#e(Hv;-3JmPYH_lzs5#P$sb@pvcqW$zYd6BrLvH;1CL~>E+p!q7p5KffsSlGCg
zVY1{Ymv$JQC}vaRfRX6j{?vf2$|}yv>D;OBFaUaF8IoA-@{y!yN2lNimTA#NycG$0
zOu+cEATex2I28yD+dl8wN#FGj?2r%h(EE2fBtR(~tXNzt%!pJal^p|g_EMgeZ*>6%
zB{jtoFvU=CCtA;LYB=--uglXX6D{6Dg!8?$I4=<~$u`}1!ntHpV}A0gT%25fkBNQz
z!79I?q*4wJ$Tc9t*a1?c#On!7FQsJ{AIc7d4ph#_Qe4#8&I|Wm+8qvHIv@83#^kqK
zsllJ|kUMg9|8JShmTXue0};9>pA8?hP=bB98nW>&6KZq3<vbz>tE9GWMb-}Xv}z)o
zslk*vQc5t#Z?z?J($36i96%;v@{s%Nmq<?N6R%imjsi(~9B|OpM9OM#DMi$5R3^aL
z$MKKDX}oh7CI%}9m-8k42Sge-4ib2UYj2<~{PuqILS{mzQ<rn!1S7IBwe3wZg#9e3
z-+j#G;b!cUYSdrfU9PdzUel$qxgzwppMpLDy+5FQQ$r92B_B4dK2RwdPm`Z|_4u@A
zrz+K<h&Gt4yP=l@?F1+Xocz&BHjX_=+`!Q2af~;z_Ljc6H0TloY=Bzp@ClM1)NKd(
z9d~35tT4|(E*7(VW8hCRB&?a^SH2SU!O=d5*S**9!&HAbjF(}G7yw831$f6VF##+L
z7<)1{J;!+QC;V{@rsJtN!m!IXXVII5yJ<(kELi~qR=y=L@V5&1ox}sgX5O8}1hFBW
z!MD3a7~YnuR=6-$(w4h=N}7Px{{aX-Xo1fz*idjXv}ROPIT8*YFo?`R_&_Hre-2BR
zK)gumQ_Xw9#!Hy*{mRIk2_ICn6o6$_KgwI4y9D}U4d+*<d6p<Khu}MIZO=~<=&E`#
z8rDS{wh4aoXd<~dgy&QDG?RcI9Wx`=R5#gV=;7#FUNW!w`$EHXNl=izO*7z@rY!pA
z9aVKJ$ZJml``A6Z)QfSx{=f&ob5MLuv>U<>Wq_PEJtl*FCjuH$vp}CB+=~ft^wG4X
zSFSIIMqlUqsiXIR5RpO0&6hR`0Y=bbr+eb;0~u)8T~a21SS|tJmEIzov)b#S(dpDy
zb977CubHh!fE*$aD<G48iWl|c@jVsZoczWri*(ValK2149bN;1(CVw83ph`7OgD>L
z4>#n_Do$fAn}&yA{_`At*Z`gAL#2)2q|2FpnU4X0m1hGmyejWT{6BS71bq}h+Z!~U
zKu6S;FcI8oD;LhbXlxLk;6{4oJUX3!bQ=LTU48zN4%Llo^?f5c%Ot6=qFevqIKkQB
z-iGu1>2QzPA4}2W!baq;zh(d_hZQW=cL2{^I>pQQN2c#g+^)TX4dIK;7j1{p<TI4E
zL+p1Z)73Qu{(1--xQpsV{sd`yPSnTOO~%#i0)?GU=S?O^75HuL+p-kl)T55WQw;%e
z`mvR3la&r@HL+i=B=IC!Fd&gtAjzudr7Z{h@_!qv32(b|<s`T@>5`gAFRj|0o;4Gl
zQ>~Z9TlCiGXBrB6fos(m2>%QKiO9vgefu^@+pmzGG?-LB_&iANZL^n6?7Mkr$h(sZ
zL~u?1phIxx89>b={|gJyKc^B&p}<Du8H1>fE6%eYD)3FlkDo967@6)At5`0N&yO!X
zO&eVH;|e;-Q~_C~6qqQ}4|N^@quskYGvsmVWw=q5<GtalLKdX?$P?C7VX$hzb~57|
z{u>!eT&yIOI@Ywh&|<N$8?+J-J3TpoU4J&Q(f7kfj}Kl}(JJrGc169*O;HffbpRrY
z*M(Pn$+K6RC;~yt1bRo0<#t}f5dTo167m$R6&U6_Yys3;vZsJw@yvKPZ;7kuZBwDL
zy?{)cB`5Gh;MY4aKd|2PYO?Cv*vp$B%!1T|O+OyM%+o#7`tUnfZvt_5d)L`tasVU)
zy!Z(d7OLLvnBX;{+J%PIpyg)O`0e9ka&qz_u+Jl}s3G=ojk?Kau+?vn+Gl0N*|at}
zD4GClmzTbqBmMKC-wiIVqQXKq+N+_6E127IOyeZ^SUi<H4#TxqLpf4x!0Qxp08{Z5
zast^d87^AgmFE4NFLSGS&=h!X?%QgC1#%R4C#v}I`bU;+8a}&Wavj6(nGc?qE-raD
zl->fD&(6;N`dssK(%G>kW>Z_vMT_Q;%iN|-NY0|?2`Pnzg%uUNZnOy<U0q$Rtq(26
z>O9M=gSV37$~CbGX_wn`QnmAS)pT_|K%?g|*vFt6lvjq{#lKSC=XZ8AN$2_VWiySt
zp|y2RO@7(Y?#kD;HlgoNNG-Y&S8k-=ugS=emK^!^&8PiVGkWXlhJkDTV@B|bScI@?
zBw5t_E6X9#zW&kv0^9Q~?s7=TTX8H<$H+n8?ba@quM%7<2ju;-p5f^C3)mvpx@+AX
zmCj-<K%rSlBM3D58&z&*L>u>pJd7R@`kEZH3L1ag+n4V>&;XrbcOGa2SxA7rzh14(
z(JtDVf`zS`N|f$VvM;}LcZp0}+}Zhn&!uT$DVRst5HD+(iQeNB?(>t8Z!3z!0KLOF
zHXQ84w6nD>%aY1<q?i!hS67h@qt2Pvu_P~%m73lqvAnl3S^-`tAe0(qVQD$0FxQpT
zc)yvzvNOm<3ZJoalNh{L^e&Cq&d**AmzB)tn-2`4cJhfp82}Xl^r7<&v9k10$X%bX
z|A(%xjEZvY!iHf~Kxq&p6zPx-X#oiZ22i>?hwc^-loXL38l=0CmXw&GyF*YK5v2KU
z&N=UU-tSxMTWfx>WZ^u|{oK#Kuf4B*UE5XY`-Tf6C%Qx5xNwO>?<abM>-KiF^YAv%
zG%S=EwB`#kDkO5cZjR;WHFzr%q((~e*%x@C-o1O5A1t6@#@g1nk>;IcKKeDv?{{`r
zS6A3_DoENU)(T6WuBi5j;XV@c0m>fpuT{=^bx>dsfHQgz=^91x)NV8v?<(&@;`0wP
zGn4w>NXp5vgO`k{riTJOlfZpJ{PnGFJn}cY!y5%*^L&lhwVU=YOTybhm}>(k%3rO}
zpr7SG6u>IgaFBjkXeXIbW>w+LTaFEa<cZh%$%=-OG4bH5T(k@$^eumu^-Hb{<o?_O
z{nY|)kHZAh{my>odlIKw*BlZliDXs*xzXg4x?c0_MIhQtd2@9t^kaKFL*gx1W4xB@
zt8?rtq%2Y|A(m3pz3*;7HD<&E&f}3)u~G{EqX>U*gKOvK^1sXKMn?EqfI{lcO+^ge
zWXT3$CSfXLQnK>ZQ<FiPi&J($8Mx28+S&b3d;iF1|0_r^=xa8xiKB!znbb19eQTzs
z#&U+5?H60*gl9d!-XfKHay$`H#L(7gla^a%07T(a)5de=#e7rdnU!)wG#fx)g~%et
zV&zw_B0+-(pAyJYF6-768%~`L>pJ}&mYp?Qt9{9`2DEIEGff1vGL%3}zaFc70<_LN
z*8I3MK&CepuqwuNN;I7`eZF}-e>igi>R7AHk#MluYd7cjHHP>ff)M%)jv13w#Z$qu
z8piKv3nj|4v|nseR;v5@<k(u&6msNcBFRaPBzH`Ttyc5%XmH(XQPbw5<m->0zq5Q*
zjqP%~i2u2iq;nd<mba@$iGE-1k3Sr5PQ!c4*x}L@BdFB)8f4tM6Dhl{W#G70mHBk<
zREV~ap9>1<CPHx@a-U_^YzkFi-&l|c(QD=nFLKvW9s8!6%8gzw=|10N%dM0q@&)KL
zvF&<*4lQS_7E15pGxGW6dI-Y+mVc_iXCfMhv5aiqKYyo0h4c7)Sh}wrEV(3gyeY2P
z>7YrH_?U6vc>YfhU?}Mjs)NS@#rvJ*9$e_;bp~7?TbM-2+Q70I_#nWI<=Jw_&AYe|
zS;8JBDLWGd!`ZUwz-wTp&tn6X+Msa^L|u~%nlp5#!KC_}-<k3$p7}Mg9RlgM??$To
zcF!(Dbx~DwQ<c_ezM0z>a@|stp|JJi3Ows4yx0|oiB;H3B;Co?wY;Mzg(^k3EiSXQ
z^Vt2cS8EbLU|c|(%W|gn*sFE(^PqrykzM}PPv>WjAd&-I=K^X;bMyp%YaSc!53$TW
zUG!0rK%|C6I7U94%4Q256geCq^Ca}J9?p`U>D9W$ZqTAT`xp*q&8aD=D3HW)yWNIW
zJn8!i@iYxIq;Fq@>7@gucD^S{?A+!^GWi*tSjc?Hv=Lils;mr6D9!cZ@LXBa)i|!j
zS#5jD>t&&Oj|1bwSF`VsiCi7}IY;BQQ?c{hws1y*+X0ANMbfvb{FGB8DK~vhLu}w=
zwsVaB%SVQ~!9Sh`-uLwE3$855rL|y1?QmE{*{5GF^{5^6TQ)N!(`ystdWTDo4qpvg
zGyunl6bka$Jes6?4ONr+@R^LMktbICdko1Fs#`g2<316Gdi2*j_M(g9>Po-Itu2sx
zvbOJL%J@dS*2<jYYT||9I#1@=F4{2g5{uZIf4@e4ERyx&jcs8rmj=>)XY8h(C6;)%
zQaTNh;sm4u1XMXin$8|y(lu!Uaah0*_V0_y@S#t`f4A~Kg&;gsZ3+a94mD@y=5&dK
zamYBu9m_xs4oJX%)_?<WL)hEt)8Qx7NW<Z=bNYFTU{St(Uo3NjvsyA;avl*}mWgev
zX0p(Tza+?RZoJ=9YAfePgRw!71FP23)-F66N2!GIr#@2osJ?%3wp9l2V4=u%D^@+M
zo{`WtF;WVZc7GylU#<Qd-f}mDNjAJ;M-8YPT>ab)qhkKfHrhDAtL*oHdFBTFd&sxR
zcoAe4o9kYGH@K3{jKzB5`m`+Rv1;v9)P*am%=)2I$2%PDkgb-%uu^2HDoVcksDgp>
zC||#1wRt6smAAj};~r7^Nzgo_RuZkbe`<nzlH2W%3{^Z{+fII(!d6xm>+JBKiC<B#
zwqniUsme3Aw1xGOG&KfgUdI+a&}#<5X#osFU(yWWupL+zVyp&t=0F}kCahk#YdIod
zTrX_CiupI%`<Dgqd7>O^z+36DHssggwQ&rn%k#^^lAD@d{WIR?xBihDwCy5n&-e%L
zaBEE2ek6Hd{b6#>cqX$P<Bp9~Np;^CVspOHT^9M^$gpQ8W6^t0RJygV*uj0F$@4~7
zm?w6`Y&J?<{e^xiHhYQFIzUwThmB0<TqT>bQPn(b=Ha&13V<Q?E$Yfj$YYcjO?12v
zP>i+KRqO&0XV$5k@129=S$kR4Oy9Jl&j!xQ6lSwki1qOgy01sf=MkE<Ixn}<Y%P{-
zf5Go^`F=4RX}F`QHtPhy<xM)aBmr_mJX~y;WZNG|51#N<AeQq$OKL4oS?l!-(Vp1y
zJ*RDELO<ei)_7XG3AG>JeK^Y|@MagR7>$IH`ESD_`JTcDh3b^UFbi$d?C4#hN+p#k
zus6jtsRY4xRtuT0duavJ>S0%()g4UYk@c+R80+U~wc%z>nOG~S5?-(8LEH71SR+Vv
z)~gVls&e<mF=8-(<n`n6t$b|Ro7+r|ThJaU?jbGE6z$Z^9^yiq@H0Fvc!3JFL>^ez
z>XKTU)kOLoVbYh-?M=O4W2g%sPo<sWVwC+S*9ru=7O6}C{|yhwEUTCVDkht+^;G7&
z!y>WY_JB%NYMiLqNoWnsHGJ|JMgGFOdLI7r2u$@Ft%J9CVq_!?D_^UCx^*bF7+G+x
z3e&FY#4aTHG+iK_%qWvpT>NCEIR2NlX!)+MUaMcTVnHf^hAF+P_xy!X)-ti#OfzD4
zrf#>fd|7q&cg@6MCVAj?A5Av)(Y37fJht*U^ZayC&T6iB4s58X95kFCrt_wHgR>J}
zIcf8ATldcH1w*@TsZ+Ig?aQrFE39JOFRu;I^9>McA6k(&rZYF`gEj!_qwR`0m{2Wo
ziM<b-RG`3qRk^aT*=_Aw!<n~##$)%bx9`DIOG<PH!|sLdBDZMg6uqjLNQ9%BR9+%X
zC1IXLMLv9-Y=Z^P);+P_9j5L2sCeD4re5P#p@T3-i39tq9gSYZOwB>w1fKhZhb!!E
z98!x<CMs%##SA93C8K+28yL?!`$Kg&S3K)}P8rs~?<1hC-!X}_RfORR<FQ1L25aZY
z%vg{o4ItXbT`HQDvG|rMdLCA7@$u&P0RNxld)RTn)V_TiSUGj1R2HqIN=N@ym=$kR
z0nsCk9GCp9I6m}veD8dx|IrM0UFjFQ`7~FecM4=979s6R>l5qLzj=Q9mZO*F-l65J
zUi@?z;%ruYsM<MWWf9=@dKhFQDZ%v$Z_Y;3)nkj87jNCYFQxnI;%fr#OxLU&t9c7B
zd7^ciiJHOHR>?g!84JqNN|w!;=JZ?bj%3lARi3Uo{wWbAz2j$yP%jZXd5vGh*KIzc
zGiY0hUT(J)c~G984-4~BMv{qoRSV|m_yG4M^D3+3sV_Bg>S7$a^+RcqFY*siwB)&{
zG{x-!nSV_0|Lr(MC(VZ!s^Q^Xd`jK4=!8=8>&=gzSu{e0XwW9YjL$J?V2`cUl?U;;
z-E(lsd4E);Ujow?IE^ZYvs_grHdeN|v#0XoI(1`N(_N2F(;wUQDC;hJsmG`&?9Y7H
z1rz!%!_w>ZdOS8_g{H_MnP%6C_|+!9x>X@lGhof+XTc*(1R#g1i|vOWlA@`Wz<gmn
z`$~3{t<UStR!QCVB=)+WVT{DraxmlJZj<dY>O5da!q+)-+Jr5=_Eoj0^gkMvM>pWp
zvfPpd;zu&%^kd}8%=!|wnToVkxIS~GOx<x)9F&2!F(lLIBW+pGM$OwB^d^ElXU4UN
zKEFz!oYk>#{i43s{Qylk8S%L~jiq>Be-V=6*!|$fPR6>RxL7qITRqPn-9??4z=GuQ
ztZ$-gU$Mo9ZzhwEdjv|))5i%Z(BQbb&XWk4+MQtyJoD2!W+{nAHkhMRXNaYrX3V%Y
zed+NJF<a@$2KAp928Pn!)6dYX3)kDS&6dgj3HvvyhrSm>xKPLwPS2^efaW`eZ})b+
zp0>^3Q=8;Hv^uA7C1RHTHskctlUP>J{=xX6M>SDgmc$Os6(o#PUCk)H0$z-QJ8K9E
zxf<6h^)*C;i*wnoF&jJkgzT*mp&Z+sIQ4+OvLNn6vu^C!-{l6*aff;}vx&+*HNQ0|
zqzdwZ(}ygM80?UDv}ni|s7=jz*i<rn7s^%?s9wQI2$T7R;k;I`j?GhX;N0*kzj%Md
z+(GerGs6zqyj|HZ6wb4w_KFB4-H(`8bKOK}`IJJC3zO@TF!<fY`&s#F$uU12<xpO6
z1_sXsV80{Zshe%_8MQ+#o|J@|>C_jV_bT}r%l~C;1IiC~Zs-mHCSEK+vc?j}rtt0B
zxE2()Z07vJARs71!xUh&NnQT9gOF5Cb`$$0OCiRruQs5iuYU!ks0Y=fiag5|RpPhW
z)_a8zier?OY_iTJ*)oybkJJJ~{f=IF5~Iy(YRmF=SUDpuuwgYM6NPF;1G3HVH&56U
zTmCF~lPt2-tC5w7*12?)6wH{bka>dmDqwF?o2SrToS}YUwc$jP#oF#}uJZUS|HN}J
zO%ym)qzdK;>NNVs3TE9oWY?-R?T&bWf&(K0AMeBR!}_XLAu;#eISm6}HG-C2lXj<=
z`yV13NW!)RU-ElBeE@Wf4g(^!f?3RF6_(1sVedn|cWRBS6~+jjlKwNkz`y5aQN+YS
z|G}HPYZe=CHiO=<4Y1k3?Y*~mWVNoh_m)NGyrkb^Ck-&d2(3w(a%@BLU%b@OWVRMc
zX--&a7#VrpycP0+6_*!1v0ZW}sTfT&GlNa}4+4?Xjz}6yDa0994Q&3d_MItf^r9q5
zLd~Iwt&G>*8t%d{#u?m)jhpINf4n%7?Mq_IGQg8Wg4oQ_f+I)M9NMwM(2x=NPS!-`
z6j#%qYIZeXuM<m@4Ja69zvx=&0=t&5B3niJ?Z|q!nsQw0z5EaXtvll=KKMkU|8#7|
zWfHBip0mh`-rYEkFKdLs#fKY%Q35&42FS%iYw0Q=LpJScVY+r66lHYiYTK;2Escxl
zaOdxcpRPb26JtSzumRm-H{-r^?K{{qCOKFe`F|-6FWwxZFvN;Buda*5+xw`EZex10
zP!OO;)6)d5w25w7Up}6AqqCJip;t7nZac4ir&^ma44XYZiw3h&gL?bHr}9sn*L!Pi
z%TDRhj9b01v_aqRM-IEw8@`XI)6Xx{_6Pz*AfOwl@$=S{SIw_uQNNb$D!#@KR7xyD
z-&4`NMs62#=SnNoXu2R9@Ka>A2-(TZ<QZu0r`m9T=~|vh+v-?Qb^0+hMi=Qypk$6P
zRH-RU^g-PLCW3^gx~J$>icn-$?C?+Mp6<xHq%$|o>5rEP%0bk53|kp^4<)#`EnQrA
z1Lyh-rIt1??!I+s^}7`KNh%Q{Jrg3+$>~IF8?npBBg@0XY9Y?NDq{1#gHYZVPT9S!
zK+v(g)8um+N`-!W3q6NDIP|`B<4i|<Qf9OAm8A)hX?Os&zfL{X3<KxgLw`)8?=IKo
z%arW{f-m>E_^>`9ML>xL>;6WV&9e+NDpfAh**{cdgJ1YuQywn8aQx+&V5BHto61CB
z1x57adFZ3%NzFVT_L8P<$9jP#dqOJSPZ}^nqg*35UZK~6c)G>&+Tx<==M+C`gk0(J
zU3A;U>EVv$dc>oMB=+c+x1gNdBQKbtWSQjxKi~V%8o=-vmdZzYfbAoSICDA$HMll)
z=n8wjs6<Dv-A`H4iO<n;l0{;L>SLN(?s%U(Us7_&u?mZ{uXTRJ-FKWFCALznk78}-
zBX6~o;;@BX=XL;#y@%*lT|7ww6d0Xho=%)FrDT32;<cxNzg#EQbPH|<u6(zpf_<V9
zY!IbHddGsm3L-%J%TsHq+CC;q(~N<*Lg*n>DWJcW{=MjkrAK#{*nnAB{va=>|15$I
ze@Eu<Fcc>VBS27fTHR20qXa37=4|vZ0j*YnhKGPOrp{`yKjDwX4>K=BGG?qSgs|=V
zL4g&DX2})OeLP#K&&nX=dsM9jzr4`iJL0qSL&wZu8CK2xxRdcsawJjT)}M)v=2!u@
z|7(IrR~U(md*&azhM&1uL<|Cda*czeJ`ZOK(uMl%Ka#QiM9o5yg({#!hDeBEQAS>l
zN_Avy04F6QYqyCWXy38+qKZ$swXxK9$*aqg)hKmD)&g=^Lg7>Ybll6T*Li1DA|9OY
z@m>WrnLeRlnk_VFYSf|{8T*o#@XGQ9E77C7-W>dDixrUXoX;cLF#RlU@iMY@orOI}
z!A&BOoENg9y>h(fKleytDP4W!ck<Xc?%_}ouc@Ami8+>tEc;<)+jQ#)4ZaY%{#&o<
zyF&az@tl#F9I|}U;!qYebgU)pef%0I!Tx>pu|2bScKMgzMx~vfUQ~N*8Lt>lGw(jD
zfA(kS<yC&|i%=&CG!pmAqe+wB&u!gyW=I5ks)vhSFyH$Ojg};g;fFttlqR^#$Tys%
zN%e(KtoOx}Cl$YCVAWg;U+R~P2YCg5x7{}YFX&kq9w({jk}%SY(8p={MMPYjA}52h
zT*-q3r3URL4=(HYfW(Ig{H>y-l9E+9!{s%}+u6;-Ye8|`F^+0gb(GEFn`y%C>@@K;
zWcCg!URS3Zt7s8s<C>X{hBCRv3jFLts^)?(RG^F$?nnk}a`LaC_rI5**Qz59vHimp
z9lUE-XP~iU#8HkYsJSx-FaG9Gtwf<ApXoRJ&BNXX59hC9n>;9i4yzt>Ibf4_I#!@k
zQQ@3X;Y;I2YytWC;h|ffpGAQ^!tBhPg)s}$&_J|mJjovAY7hH^88n<K>ut(_c!wDx
zK82~eey!>=a)K8Xeob(ygiyMA`hA7;mRJ%t7CWITe`q;U2_w`WGnNp&DiYsb!TEq<
zXWo7Ba>^ts>CK&iRy4dfN6G{;N*`b?rGLsGe00PU7cfRjOANKUvDbNz|8P5-_g8Zj
z&jVM+D6uo9s_%>J&fl+{<NoZ$m5wm9-PQ}bU#rf8zk-c^zb|8*)k3<`HZXDRan`f~
z?u7i=Z&BgNiKkdz=fLg`-!J5)2EjqntEhYx4Znc8-@T^Fs9O_jMImXjhRN6LcZ>Im
z#h(uhE3$1qVN*p|;p;`{AtiDH(ALof7YXX$VP0Z2kZ-C(Q=kveeo5HvQF*2F#6)uP
zOb$4#dps7+_?{Hv42EN&7S&|yXs97+G=}trr{Ckh94uy?x<*4=*%1chp2-7U@1AJ+
ziyocuJ|M_HfpS+V2|dhR;iz9J9TIppdla1SS75KNHua9*s5twWe{jrO_uj0+BDC2t
zt=wKruoNTmV&WkAWqM}5!3>SSrI+ma&O}_OjoWwP(|D_s%{LnMWOaIirL#ln8AX|P
z(i!5AZse2-c_Q;^;Ua`I3maS*iN8P8;g&~;b|9ulcw2XI<T_46U2e{Fh(9Ly#1f#d
zVy1o?qEvB6x)W@!#66O*KV}Af-Vp|V#|2&_Za*|~eW;Z9KOdR^G=#Hio&c1yRD6qj
zq`e>r%PsEHM?wm!_m~O4BZD}SCzv1-m@m-o1Z2|?;G_TN6F^Ao&wK(n?p<UZJ^wo)
zLhze_4CpUo-Jdr<{y(1pY$b6>efu+GHsyc6`k!l{j`D|=x7-1D_WyhcB*eY_X;--5
z(f|Hp=@z8b<|;=a&@gGIC&lkGwWj_Fxg{=*@;fM<e?NZ9yZitB=71NE#n(1ohBKOd
zHw}LC^<E#IV_x*4RM5kD&uUYLlk`9tV)Q8dk3e$#c8K@C>milVPPhbJN`jkv7<n=+
z<K6ciD%3A}l`7+HB!+kkUYJC1jJ<zQ|BmS2FZxEafAHyLqJDGLdh-`=q|fJo=0jy(
zA_7bb^jlxCDXekmAm5|J4^P(95Y?0GtIPt3h?_^{5rdXCnD)9g{<XCii*r?-9QZdW
zOz?;>J%_Y&F^PlyCu?7L+KNdV74qM#0KO5_!S8rItOBEoaXQ&~v>05pT$I0VhI~|s
z*Zlw|C4bP%q5WJgu<pr7TA&I$Llxl4Fz(=TjtjYNc6N84r5>h<db@2;MJFa|*4gQ`
zk}x5^edCk{RL_wPqldY=`b4emtU@XS3^7)y#_DnD5dTori<gaU=UX)GJw$9QF{Wg6
zp47EYogE)i%OmuU(jefkL|lG+e2@i7;%bFI)V!k~X-Hd!gvJf2r0Ko%GcD$A);rq9
z80nPC;01dq;kMclGlV1vtw-9U#}((=!cTU2@((uTDNVvb7pZ~GLQ_%>BOTqGLkEuE
z17MQHQDrfhi@C$=bFvR2`IkZ%z($j$dJKoaAI~A~ol|&w3NUys@LUcitp#qpvFZ|=
z+l#H&`^y~?EQwh^e*DPKXVRz{7*L4U1>gvmN=Uid9EkuXbc<sTgj_7^?B;ckFy?`e
z%vX0@K|#SLOUtqRXxm_3Uyy?iu-&ydt^JlX1qiW_H<QZ4?4kXu=fJlHW`E;7*z9$b
zBFai-1s!qo)VM@g1bEj%9X|WA)hu8#QlnEY8=$cnK(VPgL0EY>-I$|He@mp$NzLX-
zieFxn+m3cjdUA4j=2V?xNc$6EVPQVL@j5}lWPaPqQ{Y#eo!jinK-TPeD3bR!j#Wcj
zdZXBIgi6@$0z^T{q;c>x3bwbGK@{fOD$%ZC;kZT4Yl$!S4E50FtOM_v)b5OqMHT=^
z;L#UrRWT$f{$gLYPJUw0asjBW+Pbeqpy*-Z<Kwe0#1d%=(GpC0Xdw2U(A(!7A`R^C
zUc!%P>{@A?FenQ-dQ(Q(uIEv*^Wu})V6Ho5rzQz(A1kRuMMbG-3l{~c8KR#9R;Jr;
zt4?xXfiA^$s6@SlJdo4lk~$|*%>tG3;Bz1|LfG9dL&$cfnhQc!bOd-mh+0Qz!?(h5
zF9VaNOF$l!eOX6{XA?8NIaulH?d=7rH%qF(EzZJO`?_FlT%L3uiw{5Z08Rn6H;1!%
z+_drHGo`#yWqOdQRlFCYL;-|gy>(Y!jAvr1@<LAD&Cl42Y&?w*WhNWkDDsXEW68H1
zWRBQM0;WZQx9$es3#lXr1Vve+{YQpeOz&bf1A#4e?dor9COElu;Oe@&JmCgj0j${i
zM!-4sNs{fL>g*S1Mr%r8hkXWVrtgkZ$dOFUB}tsG9~OU(<|Q)#>*9DccH-t2`2#=z
z&oO$=^IJe1rUdPy0&lX@pKrWI1WXtZO@jk*8LY!xk$VI%<7^WZ!q>*xt07)FC0b_t
zP2r-Z3JMAYV;mjY*A_gtj_)<DI|1AE1}Dh8u`Z6OI73AIcmUI;c(*lcEtZT~Elt&A
zLP@Q8C-9o4z_YdBEdy-V=g*%7@`75rs<#Flb02ttp_JR!{7IT6ckYoHvZ|KqPUk*X
z0zP!vfH~4ExdxuoN$QD}(|$H1Zp(AVCVytx=73GGBthK4F2Acsu0@LDJA2<%t)1jD
z%723SJ_Gvo^{J<GDIyN+l4(L}2K6hbq#CuEuui1D7j#IZWmb$pUP^=i?F#n!=|(y&
zsh)G2`^*~tX>X91q)Zy%AZxX$2d#B7!K=(qCF0n}oL6nXxFDn|%vz@3e3qB)$1TXD
zbFUxuI>tPb-%BO$BHU+e@6GkOfyy#S?4N6X>UM%Vok&?2+g$=fGX)VAw}mVU+X9||
z<uS`wP#$%IKog?9Fk}PDw_mmG_m0hXIgK*?c@4U%ssx{)x{`a?$^35-v*PSS1MkCy
z09#s(qXS&*o4wt=;Y0!a4`;D&0`Om-JP@nAHytgxZ^EuJF6Qs8Njwwks|F~0ZCLEL
z*MPI;t?CI1`SS~yg}i;z%_JI>PSO@Kz6AS$V`B4BOi#N0zE1NdOJ$u@-7ktIY$Py%
z+nBM=WDHSmwwdNuS!74n37Q)j!vzm5z8jz@gLo5odg31PnBSW%(MwvNa6?JRDrQ%U
zW`tM=K+AU=#tYT>kzZB2)siXa#-_JniUFci>;Ju2*_(@9ldvTJ>tgLNGu}8Tb{n{Z
zYycQvCB2eR+%v;HVs1B1kt9|!9LRJDWIh71mbckxr&?VrrpkU%Os4LtS(>a`_i4p>
zj$YA{TA(P)7x@HsMb-+E3SKPYTQkS&#BEZ<&bLT9Py@LJt>#9vZwdc7lb85F%A)U0
zgNVZPh(*(RBZ%S>q41w}8o+xvIfJ&1w8wb$=2h!JWMpn4(;y($MikK_?(&LNW717t
z9Qg3xfAKlNv9jjA-o3nURx0V29VZycC0`WtED`kzA3%QxHiaYbX@A`+{AzkNEW8Ge
zJGYXIR8RoC_4ptxnZE{SIH@~l+6Uotzx_KR%9b!qDkE}Y0*d5S*tZaVloy%W;b+@o
zADB84|H+<NP;>9g#eHU#e;|m6yf|d4DoTck2)zuSdVjn}o}r{)pdzPS)j~#G(U0sy
z#%Pc~!$~}@IE&hn^pBK}?O=LBGr=<^qcwJ6s~tO?ETzYCH+74}G|)QWZ_e<jb<W^&
zQv-#~|A{kc%Fou2B@gYG?@5(({1))Ka<ekrPFWir2d7hNb|SCbdE;ISkJazYMbWm{
z$}b6M8X*eD{5STPrGCJAoXAOlG4urrl_jpOWkEGUnYP9|F!TESzCR_AXaD^q=pAk?
z0t%+Ead2YWu(}kB+Jq|1##h%6&i0`?+k@|>*7=P_lJosaE>rl=`}+hP%WzPP9Hsyj
zkwA;FfAA0zanH|WmjXivN95s~ej){4EE+?C-4l=`b2GJE{F1NEBJpG3C6?~g(Qfe(
zRO}DP;?ns9cz%^>oi#4uu;`FAfm;sLU%Gy5A4y~A<h-xi{X{Qs^In1w(?0LmZJaKv
zQhu?4W$EosA6NUV>Fo-<KbzzI;~#Zg8cEu0N&&Q}wx{C9o6WgJ*aj%Pzs_8Wu-+KP
zMc}wQLB2=a)=9Toa5}y`(3$4a#RSOYG`+hA9X3I1t+(A41zBbPd5lfZ!DAF2l;j~m
z=OAQyegt>eM)e}ngs4=?x7*Ur{0yPHK+xq_o=75@5EHQTJ0wEd3mi3?S{12T@nyii
zT>Nz;;)G<j%B^1dga8NIs5?|vDr=_2w{d6sp*h^y2Ez89>I8rhJYv`Bi6^Ron#kZn
zB{K_EQ&!>U+nw0*n-sR8b^KK1?vA6O&T;{|8J<7I(X5?Ah()Q*ri<YS;Xi2E<6pP_
z96{~zi(8*ceBP1ANedTE?n^vN-NJE9DrA5J(+}k<X0O$oE~?M|*<E5Qv2Ss@fuz(o
zaFE(Tl@1cExP<&-?}3g^PWEWK$XkCkxYrUl9t{#_;#9m*)hpY=z_@Xl7KSyM5*C!s
zCiF!qU92{fHNc7hW7Q(vSH{pNY`a_aUX=}hZJc9uH@A&FEU+rX=EoD>eXtF~smP|S
zU|&nmq#MoNR)k_A@j<iG+n>-?PL;~inOciH>fdZN;};Am=lPzF{$p#R5SBj(cxeUP
z-L4Ub&i^On<SwwepGc9Cu2V;AtUaRn;(LqpzB$~qTPz~^X<bu9hK|To369pfK`Y*?
zq#TJ1rM{o36zkGm&U!`erSWKPT*D>cPzeAS{;t$#Y#RJbsKYbd*_K5J!G;n8jH?10
zN`k_csc$*xrciv@U8}bGx?k`m2vL0Na#FOjUc=o1xs#xh3omQFpKh(V+Xb9T-C(fn
zMTMEYcbb9HD(`6%6sX2dfWN&Dz>3D#Qt7kHoaQU_!rsR=@Np?2<9hx&%{=@1<=e+>
z$!8&=Hj^F%&c8}}C0<dS_H-7b*-aED?FqJx)d4T><zT`##cPYRul(@eoSC&#_7RS=
z{;ngq#zqVSWRP)z`0QDvqzApxf?T4G*kqZ3eN6?DmjE@uHdQf5>s5e7WZ}UURAHMH
zgc-{c&=<#&e6?YZ*rQ~!oz&ha8Tkw7V+XKgs=lTI85JhoQqAOMXJ=Sj-qHcRNsd&Y
z5Tn(q>SOnkO35k$-hM6Q)5xo)&BCIo2Vi8x6ri2X)c0Bahl4sZ+|r!GAM#hm(>Q0o
zn8pv+sZj%Acr+O$wDp7s8$0GTi*xumu?{cG0q~scz?rhMIZlmQq?9^B@WB<LrI+h+
z?HShX5XnA1iJ;zRwKJ7CTEaE=rAHv-R-#|Xl9^XWzTJXUVpT%wbK0M&VKc-Bx4(wy
z44|s{7z`G;FMzFO#Y|$|?e!f0s;4>98LC)MrW;IujVPr&3$J5mA14_90-ks<9l&mn
z9~IrFhtP{t^9UC~y_mnSW6J0`r55B7(i-BV<;oTpt1D-k@BEZXRI~Nlui(<drQjbZ
zR8e^#dY_bZqwew1K?c7uo-j}R>#9Yv9XYfTyk{5qNAh&0v+-{efEBb{Q^NF&_0xMi
zq7ga3?EZsFKJ9T}&r5z^<Ml2FTXtjP2eNiy<%>7&p!JlGIBe`m3Q{9r8M7s|bTOCX
z1IQE(v(1cwNc@`1Dg}zfzGD+YsaqyHC>0+ZB8v|Np`5i}OKlj7F>wYyz>O_+V2aFx
zGc8g-fc<FZ_H3;){Xdyyh7H!YTMag+a2JAocJwkWe|mq>6FmvDikIVpTsC>2-;bvc
z>4CfIt#E6sY}9*Vy3>B9My&?GHNT=Hh3XaHcly!7QrqccNFpmnuLg1DE4xG`;O}fV
z`21|?EndoVLp3pA6IpCfUG*)O;60^WP^#Nl{ws#Vt+LkI9J-Iion^+v7P*VRL7|9C
zDw*cq7?bD74S4UL$ybkMRFRI>M&JH(VyvB+W8l5Rx50#IzdgI}cze2%q@2xpv$8)i
z!cgq`;;^9O!!DpU=Kf5d){M-G#r-GK9|UQ`@pkqw$n+wx9LVe+3@)uLH}j{*SdfOg
zli@|%wy?^2u28}yjWU6Ih0K`Ndwm4doh>c>&2-xIV_m~0`t1hYT&(puYDNmdop@;F
z3Y5XZ(9}y@vobi5`n4OxkH|x=3L8xEz5qEx9&XnBB*J=z#(=r2V%lD#^T27wydp(s
zl>Om)V(tS>%x|hRHd-zLP)>FCW5z18$q#00)uZ*u&3#+`g&9n9YX9~LcLwElvMEnD
zhLt+z6%iJNA1G@%j^<AqXlUYSFQp_@!^O!ks|zPLyTzV%$!we++kex&zHE3j@qWwy
zjI&trIY5d*k)RYar3|OOIb-t$pvo?kFW|H+%kLu!hz514Bo%KnIB+F}hK8Q>(HOka
zeZfp2(PvYC6pm5!3(!Gk;U5D_ZM$okl)(v86N9gt3sKii=mePN<B2wrabKZa7&|~0
z2@M@1;Y571W~ttmJNmk-3^@37T<NvW7Le#ufP-m_qx;yoqSWG%-L>4ag{j?YyZ{PU
zHzyG$2iU?k?%qnaBE(ds^*36`kte-vwyqetL)^wI5ug&;SL!#w=1}a4piG+wM&&jz
zGUNTH6=fJyV>Ya;k0D);@u^7WIX9=06KY@XXph4$QGxESM>R<Elxj%O2|~mnSJ!pn
z;`rK?e}QITef7~Zh5^P+@D3K^cX?)H?(;oPV?f3L%6K-kT~42<5;FhV_IqEPz?{%`
zCdfF#?fLed;CGgDwYC&?&6+BqX<ht=cDBxLn>1C(F6~4SiE<m}4J=S#nDS7G2|e~c
zp0<GDGwbvuaq2h|>`-Ex{hBV_c3S3#5R&u>2LhwnX?_dbppx1x>A)3_?O!srJehI6
zUE<`~4Ldz?OC)H!qf-r`#=*2gd(0j>MqAZ3(}V=541d1H?26mYYa_rW&xR^FgIpSQ
z+3T`P*bri&V}M1#gad((sQh^}m+sBU=sJnm#yFp)s}U?3&nQ$Y#I+UXJ@Up{8WArQ
zlg^+a`iNHgO-TcOQyBtTsXvWzWAS09c2lZg6zO#Du&fQ5jH4dtYvgZH4IvVLYxLAj
zo7w6c?vyhB&>3#Pr>5P8ElvrQAh-D%ctXh`$b4oW5QX~?GqjJ`IZJoYwmX`4e<wSL
zpzJD`nrX0o_Crb1*-`a1h#ZVcX*M{hZ@?@aJ;oMBsOgU^QK>O@cfEyRIMZ;bY4tgE
znzhZyH&itw7RI+ue_?p+V*HQ@cVUccFg!a?;r;ga?r+;!FjhCd)z@~L`!7?M&MRzT
z^imm6tS3`Vz!<)#jOyI2Q>N$0W`?K0?R6@->+#yIpnldfP@R{`Fa#OEEuPmne*;ZM
z^y-*q>30>fV{6pu%H^1JdBON*Axl!xSt%vxqq~lLmxhL>lclaK{7Imka{!O2ett)Z
z?5IBjn(H=WueX_?h-n&}L{4f)f!}ZXDe9tQo^;#-%2_1712~3xcq|KRJ6Vh8p}Fvb
zi-3y886C>c1@@6042AK-Q#Z4X#$ROAA<gwH80^OLl^2-HDHV{Y)aFdes!pT7rYVhL
zGy!OIl9T*6<S>G7Ds481AUX6^z-xsGU>wgg`z{sl)}QTg_J(g}8T@(@WCnH}ly+`d
zsIoAmsw6Z_iJFZT2VLQrBi8|8Th~UxLn-PkkbcRItxg#KwHEczkGx=-8G0r5A3fq>
z&^T@VoSqgQTCq)zhLnk**T~%xrxr<1l??A=QZTSE)L_h<Gxn-s{L!$<qZ3hAkDXnu
zMZ6B@pQ8~-J=ZIEyYig~)*t&KI{-ZH=e)q+n)=ByrI+bN8;oyYMzhN{-5kTg%d25D
zND(Hp2V9JHrWy8!+!_$GKHCH9`TEJL$>P;YDFVaHSJOcet#wrlWn`S8CiI{%@cBV>
zQn|^r+3$6>Hc%GW`J#?ed~t}~Mj|t->d<o6fe#=u;`iclay|MT2cL=rF7s~?8kA7r
z;E^YkU0)v5S()e|k(<17ALNgBe9jlB^o8|$-9Pm)e?$w!FXDKdG0h4ex6e?Ae*Hz#
zM)olENYFL@h3W)NAG^w&%Y!bhJWDGYX(O$!M5|=lWiqPyaHIQR><?prn=~O&E%~(t
zt#P!Er7JsdgMpEAZL78p8Lkr#v#o0tm*pbVTBj5b3K)p)o~mi+byai-_>K00VPNoI
zFy9SE^onBpTAoM3CGcOMlpy0XGAFgnaAzknbJpxr@NEkL0C&7)7)OJWl;1OHxf$@{
zL3|fLjn8E1h$@6~Me%vB29NL}>4|N=0s&^QxR1ic0+7Bx6tiTlQ?M}`5k96m4>u2w
zy*c*+mH=RVd-$pVtjsIS-!BE5ojaP|D(FparWVor>nZg8WYh6M3Rc`gJvwK>#%|0i
z2<@aX{{$~%?!%UjEaSMXv!Wp=ntyk@wGCU;`&bGsJBXknU)W?1XDrOx(teE|R{kXO
zJ;pd)I;M^Xsk0cqVwb|KraR1c3I7+ld>KJJew#K*Vf!3Xj3gVJwuuOLeR~@R5*av8
zBDh)Yxa@@^x>&EmZYKYJ4PWx!cqEa>dt54kiK#M5vq+%Jm&Q<egwawlEs1vbSwNZR
zea%n|swLArn2tWHgHK$q5%s+>&I*!P`~Vsv>X}1&J&x&^DvMv0y(!)<)g!|Xdqo?0
z`|dW^GQ&-FGv{dj6u$$|HTtDEM1VWJQJoEvBcJihaijV)`NO58O}G4PO|8ov^}PjJ
z|KpCC&>Uj=cdMm1s5JyLdE$`P4<>ev=q)!;v|@i_rEzPLtuZzlA@ja53^MOj9cA#|
zbnz_T%!MP_N^j!TZ8qhrimj6{*3$i*(IkxO>+{y@)gyHBDKr-xQ&w7Iq`rZM!;^@*
z5Y3cyTi7C0-Vl^hBhPXmN&(0LOGBG)0WvN}7+lAkw7y)h!&uMVQtSqjfGmQ14c1KS
z?}Z0^t7V&x<I&l&CynA477ao^Yx`?CG2s(=+JFU<;s*KH3%@h%M$B0D0D7GS1^u&^
zKR;wH^kW1lxARqezz<e;VB1KzgWKSD7@ppn0vI0BR*Tu^8Mbw`fiKafIV?WgFm?La
zHvMpBpJbA-<4SYBRgghLz(gJ(xU~Vi2yHEAjc}}=emmF5a-!$me>ZTH&UPN*FeJUD
zQUahPO%gyHbkBTC^#0{hniLK7x*Ih7d>(YzU(Ot{Qk4Ylin^?QoMbFH1=s8m2ly3@
z^oVu({~=f$QqaT(b==YgOt(C0uZV9pb2|Yj{8Dm^gEt#9RlLZn#BSSJ#m40c%t7Pa
zZyv9c1FQLqHDHncQzQeMzLzlnb>)1))0@a&4$aEWqL{EEBO>Wgn*Hpi;nw=eFs)V<
z>!13=-#`(Q2VKj*<DPCusJIlqW=vYc_0rYcTfu_H3DZYYiwp%wt&-anzHrOg%!0+T
z513Hx&;Rp%{(o*tU3*EEGBnCp|2djCAo2gdlj%PkmlU-RbPYl!HbMRpETFiy3_{CK
zSHXwQd1&S)X#eNa_Yth^gZ9ZG8hi=puMc(utpcrFf$=3d|9jIOp<p!=(%!ApKuB()
zgOBPs(}uM+LoIim@UgA?IxE}%tTHvkh&DsC&FFbafE4v>O#IE$Po)Xlz0*9N)21j<
zA?=@*QEO>><gP}S$(8);5BnmC@wM~*_lA3JZg@MuQt0M}$BN>VYn;YU5C<AZ^_$;@
zX-`Cmu9M8D#GE{Sjr4wh<EtI;KYuIkNe^->{q&S|Hb@#hr^RK8t#>Vst#Gl#&TX~A
zHQOs`j2lEdT{(z(XJ^_9Zv0O{?=KpTBn>P@@S9HU49r;c0M`dw`lknG_gatOlVvW|
zgbja&qMw^_;^8p=b+5{~pwr{&#+xASR7v!=JRK10d`$ogj0u$Si^GmYYJfQoA-Ydm
z-S$GI+2H*G0}j#qNa>qpZ<o#R^pQKc%{ua8A>AlCK1T*z13KW>?nq@r{%6|+tl)=)
zhq5Xja#kN*-RnS;cpf4y1$OI){GO7oe;<zc3FeaFw%McAsUK79k%zd<Ltw|_3qq^!
z2sowHsI&b0V2tSfeUApzEm{QsAj?0H|1!)Lj>7$7*Q-j$VybxM3JU)n@9~^<xGxJy
z2{1`PlFq78qRq#`!Xk9N!mmr4FeO0PM*r?L6?nV;`!>{LmiM}e_w!hkCN1}I9O{^p
ztmCwugTYT#7I+PH1Cym#A>z?k`xEQRS8=JSk%Xlxd5VD22%pnQ;*CXPC)y@g{dX(U
z1p7Pk9LL@^mrKm;I7S<~2d4KW`gQPU-6jm+#9y*iG&g53*giQqaWch@N5k!Ke}0pW
z{PPiCBjo%r#EgZs_>5vYREeI7iTI6^w?lf=2<FxKq|yGN$cWRhgkT!BEQ8eKyEKM8
zn#Pa4?E8%WF3<wC|2pM3GcI~cQtB6WTDBCqL_-Z`Ear+~$B=yoIRlJ`vt?stPg~w1
zq^$^+C{TYy9zV{kzRfi3NAE9BoG0`zISPV_IGW1-fyw*!4L?dlcB4M?#WIofj!x~4
zSZ4H=4WHTmE<Z!6x2m~|#5nB#UIC4=1lH1p!dMY@g8-X6bPjq_dzk9J;kBm^nerZ#
z;vq!0$KRjnjnq$$dYbmh{PACZxdcd|PU6Gq#wb}HRx1ejzk^%f0)F(Yx9Ax`J`)r_
zWqB?`jk<P!Z-&J|uJCWhSy>Y@%5OiFR`up(H;Vqj&tO}fwX>JQd|N%8`-1t7qlyQi
z(z|)(IQ_w7Oxszi2GBtKCE-UzL`0thNyF&;oA-%%fpHQIdSI}JwYC)d!I%$d4fqQl
z01KbrVvVL(A5yj@YgnTDgq@BLRSI68{br;1lx1SKGsY&utyxhfw{}nv<0O@#>$CA4
zqW7WY6`~L`C=Shn4iQ7qA!P0Ul~cAKLg^n_`4_^Z#P_g3hMlh?*@=#}vN|ZQT23rJ
z*R!_r+I_#)C08BKOTdZ^-)jOvs#Wr)rHCs4ovoQL2XOquW&@HP;eTxt;y5(x!#8ks
z;u_c9y8ds-uf&wMadg=skT?;8BeJj1zAkrth(KU#rgj4+v6O!YOX;qst3-`lbBZA4
zGyd$co)NUa!v(!O+MvaldGE0nP4i_X{Ejngbm>?qI2r_LK=k?WFg}+BVkVB(v#N6*
z$-!!1DUyEEcaf6bzw{OU;%1eY9z*QCdylttiQJYr$pTVoSwH{<EI)SO_u#w?!4UsE
zEJNQej0Yr$zjk6t_4DUFGCjF;pYa33^EE!Tq+OX?I^A50GCsOOv3v*F&X<gz_5IU$
z1NS<J@cTt;cfqRlh1^8;fXQ+i<poU2rx0&54F}KFywjW5Ax=lAxova=PwRP_{1ia>
z6%7^m2SbQcz=x&xWjTK@*UgJ1ZbdkihFpH0*77S#_Sf%wlO;M&0mTVQC}${cR#rG@
zVK$?1PZ$ROCJ2VoF8-8OM1fM8A87o!!FH%m{YP?U=<JhGN-?DWZ5=@0Bh*~+ybDzP
z+yV*p%6QwLT9d|Y)>kvBFKpb2Y4IFa*Z1O}2SlIo2G=bhsT$KFM*R-JxN`-@yQ%~7
z7u1KADeDAG2ntSm8Pn&$s1LIQJwW5@Gzfiq6Fg!OchRqQ2y_KY^j%>56t}~YxW+4{
zx+W<mr+w4bLoBnQ7p1i5l)Xv@aMA!te8U9dG#j7zV|$)|_rJ=Q9Fi5Rg2J2V;t}Ql
zXQyZ(J##S+5fgI=q;{Ep%+hGtA7Okhx;8f3V9?G7_DUQe2yFo4X1yuovcUKoz?3^p
zfSY&(6mLHUxU5Xxn9qTZrRloZlw4Rc&`r+SztS?Z1M3Io`Q1z`12c5S0ILd=y=OpD
zM$H&|3ivnsi<5&=#FKQ&1xWp`=S{xb6+K{JX#zfLV__tv;HT3@ZdZyF@RS|ISU_<i
zKL}&?Sptf~b{;Nq*!beAjP@sG@-TDDLj8yN&7QI9od2+A;&k}mkjRo(+3yzPN)1}C
zZf0MC$!)L#wboiEAU$n#`DtuVP@2fJW6Kl@Cj2!(_rpk70Xxz!Zp&qOn`H;g#pb%T
zzku=OkK%QfY&L@hzx{Nzoo<F;P}*X>qe<~Z%r6ez1e{Iq_+}msb$>2WD^jn@J%9Q!
zF_BCM$pFDJEcXEukaNe>`9ou4V?ldD67Sv<U5uT@H#U3XE-uxFdhd#e?7;B2-Q<Fl
z|0Wz#Lg)%De~`&~>cq<Pe^BSUBk?<f)^pXx>lu#!U>fQHC<9Qm0_Oc07zV6Pn}oGJ
z-}na*QCFa9G^Cm;<SGOv2bKs4x%?P99DEiP|GZIXoCBvoYwEPlW_n~CYQKDw2gmiY
z)&96y7CQYmm#&Miox;k7a&vO*rc!$cWm)5Y+s*y{(1LM^tD3J6^c_?^9cO`t=GqrD
z;61gO8k(l;=j1;GLe!JMyX+3@cjPES;pxF8?~>1eK-k1SHB_FXc}#51akX18d}_}Z
zG*d5U&V%kwz?k-s$G__GLEi*Zt&59Y2mlfyMMoe&4oYxC@-XcU^!j-tofN)SV#p3n
zD$0YWjvw%iq1^Y}jfO?^1k^;IU6j)YupNLovC<HuB`QuswBue-Ag5VV2nJGK+#?E7
zQuhv=r&A0Jj&fJu`<`sus;Z6wK5fBki%sJ>Mc@|L&Tb@*!sY{sfU-Vaf1mc2z}0#a
z>w1U5)%dx+jv-9pE0cmoO{%avdDOu|vv*@yN}Xn?UcRH8yLvsS=G?}6XycSZ@fp|`
z$0jBHEdHsG?F1IGHOp^!?RxL}@>!8zXqB{B8HHWr4*y(jDlC>AkaSD!getxSA=HpR
z$aB=)B591(x0i-dJWZSrkP`nO1i9q4lDdU3H2q3btj6cCSOytWo}1EI^y}?YpS5V&
zk&zMgGJRjLuT0EA!HM+E$?_dKu3D)zM`jq_Q82Ab2I}%Y0S&A2CH^6)&1{qFV#N;t
za@5EtDq$fw&&%S|((KGcN-(XF7U1n2x@ZdB-?`Jy9%Z&Dv?j2seIRa2rLU%tE;hd)
zL?j}o`Ww8*WGhi`F0v0_F)%V7vIOKs+-m{qInWjK-6r29^XA!MC$NNrXV-QqU~}$w
zw-fO!DK#uqjhadA@5CS<4f;_Z%wc<UBYC$+wGM>sCz@@Qah)!>FZ$w%{>C3J;UqAr
zSd)A4B0~(lLeBowWp`^MB{kI-Ohz)y|INk{ouu$m^zoO*r*evgYPz0LWdg!kg95Af
zAihZtAkIK6TRNQ;rkB=R3psNJoe<j(x>e>)7eHSkXa#5js%M-xb7@%EwvmUmM*Bfn
zHr?-bv}>&Az4w~kymCp>*1*8tbK$+Fj<p8~zDpiyhkdjj=`2U`;$s)auX4fhK<{?#
z71sVVIW#oxM**`H_djr2Sq@sxb+!Jqb-DVXLNo=x4QI9{Oxk#=+=$E%wryP8nQw5B
zE^o!{A?CbPzKB8|Ydp!H%DPmij<GGenT3QAce{77)_!nMhkqK|qHaLAGCy$=90b4h
zue!{w_*Yh}=JH?BQrJh3;ud4pSk=y~gr!7Be+?ls+^Gj*b}p;N<|OO2&YqrRN|Qge
zc>VnMKD8xYkH~Wvjpr$X2B`JH^r#BbbhpKRm%t=)3lE>qJCuPgr8J~~EhfdE2PY&Y
zZMkTVjx25bXbj75-+!9>K*DUe#lBl9)m#Z7GpjND3i(V>5e~~(`uv#=!sob4kcV$1
z2*w6eq?#lhTBQmG%T-PO{v^+yiPiY#QV1j2vRAc@a<eY*0m^=DP1*dH^k!jp&(?UE
zS|hxpTd~!cvOS9Q{)*Cv&8`Odhzby7P4c>e6u+^KrqyBLiR`2OOtxzX)tjJGuGMtc
z@{4*X%6V~{{Pr8yuwu^c_<q|=C}-4oz5%)4`A%KHZJI|W!Ximzive$dy+YH;K28hC
z=PzN@)ab=!HyP6#h<+8C{orvt^&chJm%pD|j*Ovr$C`P~mco2uZHGyjrMzudT#7er
zxVc{3gpjwxsIHS>QmUh!EF`6a><3|6y$q2^!MD-pddao<Pc#@kE{yMYD~FyL<JQeN
zg%|j<taci@F=uz{!LYr(m-d&-M%Aa)6W_S+F1q(`JVK;MFqhc<oSuw-m-a$Ip$W`;
z92DH3d{SDyB0w|h20GrhTf1VBFI#0UKMk_@{b^hzU<#*=8LIPhU!ZY!EPD4=kK1m!
znk{yFZ!{0jI>mN@GPHBTU<Sd;${K!E@k~VuH*2O|ln5*3lr~xLZbPC`_rNdOO%;eh
z*2B8{tdL;pr5XbcQ*`#u4i&W<P?qliEmSRZk>0`$9p=I@vA(n&p2Mzd2_)@Yma!}c
zQah8#waWKDpjN#vpMjE-llqOwzRKfZWmHiZ=fLI{K`-XBSP~thRKAzOZ#k1_Vjr51
zfFl4B7tVE`hzo(wxC7h(jMTdtr|L~<X)$awTyY52jvH~{e;!6<s+Gvaf%Oo?Vt#Qc
zNg@$NJ!>g%BG%RYfiG@pz|zlH_!^Anwb0-cZwr)MPx%Z+qX(qc3A`}5QyZ_(lQsP;
z0%uP9bEM<LX7aPxkM+QEqTc=z7%xORrwRJ^k(_#hSv&RCbzlIkbol+2l31dDQN!Pn
z=mwN}Lz=gqN?vkDCFwkkzqD!R!*E+bWOUvO+2#$%2(8=3{u05S1K|n^C5Htf+tzLL
z2SRmQVx$G89kjabLQP7L2PO8-`*#>FJ~ekO^qbkgq$U+SV>&^XM4d^Dp!PL<W0EHe
zUeStrzxj9;%qDqeY$)6P1`r%gr2Y@j{VH5zdOzrzmf+wZ<)JBq6&`QE>^m@=oJgXz
zI5bfr@@<22O!+k7cJ%_On_cFZ1(65SxN1)VC`@n=eg8KP1b8jHEhLvM3IEP2a=v0*
zhljOhdg<^2j6$Rt7{COL0{!rh!$VFo9}sAYe(=iFIG?$^%lP|=p(Nx55xu0WOobF>
zdRw0&Y1u~-&=gZN2D-IXX}UKd!uM2-#!FKR9yHqg+*kK}kG0403Vk5g?4mm~?GpHd
z3<+jkUK|eAJsftkBs5pr12Ojfne=X@)+Dq4!R@>cpdM@<d24FYZ+Ck%PR1tLQm52s
z6$X1xwy7sQ$L(qI^_cCoB0gXhB$o1D{F@X@Wo%>dmg&{0_=v85y}d+h_AJ$5!0^{v
zZzAPzHI#{;CML3mN#Qq%T{q~JbWwx^AOFaXsuUip=epz6($zKjBcJB(Qc-CGcEK@F
z1Ur0Uv;N4-9R;hBinpHT-ov>yO8bao3-p6*^|6+j7L~Z(b5pEu`(1nlPjyW@@w;6&
z-LrV><CWX<nTwKS`>pvh=gW5}L}p$npR_-hZavoHi56dP=>GNP;&m$U5#UeZYYaRP
zUl*XEL<z2ivQ4CX?H>V%V4JcF({L*q<!2)|oFj7U{8ziyqP-XB`b=?Js|!)E8Pjda
zAzRZc9d2=rUA^g0N(lX{734ovDiNurIiJJ5ue9%5XR1-pM_Ez}GFY&FM%1y*J1gQ9
z#_45zj*N`<SLhU_dBkPYQ<ru3u?3GWQDW??u_=2!i-EI=-^j1@iH=+ngQ>!k_hhNI
zb6z+qeEr5_6Q}#a(d3$rXt*AX!NC=;e1GrMje=>TZCNDG&fDxHNR(D;BA{d1EvCHW
zfmi!UeAWB=nTo7U8L##f?{bd5BTE|yF};ZN#0KqgE?pSeSn-~S)l|E8>z>g|&ElD{
z&lsPb^CebQk<Zvj+YMy|{9HVJ*>b4<6aS{68dGlkzjZk9L!ZC+PJaFsPBQ2Iwr#Te
zBatEDf@MBip`6`bAM4>J?nKy6yigb2dWXlqLZ{?^ut$7EamhxI9RO<Bq`_vco-6Zh
zs`RZ~N5x#!1B(=bF#e92m!Ih)(sO5Tntv^wHkbr3oRcVnXaX`$)&z9dWgsR$n>-Ig
z_<~{MGB4ctIXZa1R)ksxznXl4AN^9-Y@il2(bT4rI5TLIy)&ll_gwWS>;9hHHd*gE
zD+KybzTcx;E1j3Hwb>39jd@UZ1Z4K@Zg3(7%n8t}i}Y0GHwaw;t>)~wqBqnjrc8!c
zT;Wr9fulSsosI1&ueE&9UJgy7xc}6X!rO)zkVP6La_buuzvhfr;ZjeFwOCih7hV;S
z{A%C-Rv?-3=I!evJ?f;O%(MLtJV6?=vQ_F?Up-p_CkB`M5Bp1LTI)g_)>!3cx4FS|
z3yxf??T;^n14WE}f`o;UkRbCM>~U(`o5_?FJooSN5LSR{RB<4z7A()R!bFAE=g{8m
z$!h8UL)TkJRn>jp!+;<uNGh$gba$zM(kLwr!X>3c8bv}$k?!v9?(XjH?yh&EkMa5b
z#{175487-`v-jDt_FQw$bvS0H_=PKygLcB%7~ZaN!n(&~x<)vv(l1jqPDSTN_!^IN
z0|fV8_w{bVTB9Y~-0($A36c=gCE3(r0f)CgFC7i3L?qIqg*0NiyvO;+2^I(|r1?-K
zMPRA1+*t6*(Ts<F#LhYkm^9W@u`F2s*8zfn%bTwH(avJ#IYXu`B&S0Fjxxot`S!RN
z(3+o9#Wy_+4^wACD?ny_EveGPBuuc>NOv*5zHCHOh5^f`cT4RdiLc|`ov$jVbIL&S
z5ZXtmc0DDsjfrwFf+*(W3hq{y*9<a!8I(~5muCC$N2=1Tt>ft_aV&irS00KHfmCZo
zm)$3cc@?-U2kh99iYQ7Y{rR*ZY9l!cgxpq|)>X()h?%-JT>&hJ0SGb{uC51^^FH<_
zpI%h*hDf5NSeD>Ky7PB_6>PqJl$6zGs0vOd=#q!dx}uXo<j0u|Kt^x}DD)%D?HNl6
zM0_{BNe+q_Cb=F}6j}#`O3#*pq_u+|e4*YzKK{0$6T8vPF}qcYXc4-drLcp?lG5oP
zDky3EiH*G%2qQx=&7CSqFjdw7)f*w3*Lp)v`?(6G;cUm3?sV033$4hrY=5CvFJCbZ
z^dvlX<F@@;POc!G4V6dcTVqOv{VjW1k@QT}cXU6i-1HMr68r$i_3fddt3(C){l|!-
z9_kI+krXwtnydY1E0F|O^P+nO@W<KSq@_+~HOU?O<PX<xKb>K`@dNGgez-=Uk*mC2
zb^F?<^_}-oy40^JP2yXp?CaNzvk^R$Ctgh!GFu=;5G!doa$~Z(6ZVBNR|C^PLWu$X
z{El7%&i^7mv=dlGglQ&eABxR79!m1swLecquWRQp#yJ0xP*3D?Wo}f;>K4s8-e&a$
z8aLG_D>{u0Rq%!I;?cL)BAd)<h?nn0q$MN>I6e?KC}`NPlS>Wik}^?Wd*FXyOdRvZ
zrh79U?_z}2i0+CoDdE~S++rh1z)&I|Bm!B;mh3V~Wbgj!#jOVsXQibdL=xWx#ALC4
zfU1<}c81h~*u(B~(3AU*mF9F*0?i_h0EK$NJshd&sO8O+@;Jx!o15iGQwzH+DNL(4
z!;VsrAf!XO;{b_$cjd}6pRNDQQu=|q-FZ0l*BBr}_u|j7l*)7&=r6X;99^4b#D!mf
z{mFdbT_6NhPiD-iN~zPeCJW;1T6wR@Is;C98xwPe@1E*=6Z)dCux&pc!`}WV0B9Er
zZK@Us_03x4RD5Kogtk*|L?y?Fsm6nL$~uQ+#>^~D+CIF<{YoYddy!>TmK@GkIM~!d
zmi{ssAbu;z_DQ)0ReJTF?xob7vObgTE+VO8>x2x;yx_vT?7*`Cv72`2{uF_<E?&V$
zd=87%zL5iC7UW>Fo(!1>q$LHgW=;I|bgHmofr4+XBzluPQ1-f4j^X_X=$iwFihs5A
z3k9RW^#+KixI;PPv@BNLg)CxJDm0xhY#?vGNMK5Nv*-n;*JN(a)(Y^r<#UioB35nr
zXc|+4n!iLZnZ$Z=OWR9{mvCQQ>b-yeaHZo%!u3Rn$v4xya$(-WO>9psn)vWLYAs^x
zmkTi9*i%`@d(1n8>4N-elV~D$zcdLyQWJ7D3Kh}SMmPqFmwHT421rW>8kJQ`p>-ng
zA`9#0?vyznC#oq-iCSVH499L<X<z5z<21GagZidP)!IrW1H4Uf>|E|gZV2RNQiC|0
z!t<|Kb#?F%c6MhTiC%Smk5zoHD@27(r}8ssiF*y}JhL8BMz`5Q;u@-(;!^$5DX@YT
z;+t1yaURX8B7GebtwW=eaeZfqV0w?d&!FCRg9HvFX*Ud=w~I$BEF4YyJ!`_%+x7u<
z?<)tKYP_`n%M4@PROl(a1Yd@#y%!Ef7_T)loz;XZ9-sl_V9#uX>MnW3d981@s7Gt}
z{Nf~g{PHzxrW$35y)Ry?G=kR?oOeH=JTP4`sg44<$@%YDQvvkU4^i$}tL5kr0FQV@
zT?hRQU&%uZV^<?xM1>jxv11&uB7WSxM>#<lky|~&wrp3U!S8p&I@Xo8F1c5U)JxDE
zoiUZzq;ux<u*Za!P-AVQ;96wNR<QFYFf%~9*YQ>O>WBL6hVor*=#DEh)~lF_>1Kwh
zuS_`-<t$hE?s$^h7IJ17?Ef*sN7R5P&AbpXGjzMF9rd(`6-ZNlBG<n@_cGI;{9Hp3
zG4fXBhrWJYa7BXjrY^y6JKA=OK~jFwD1X8G;PWBi2>q9YBSA2psSUM!7A2mooIO!&
z!V`43JtA3H@?omTCAUz{;Ge7$*r)M9pXSAn2$DQRhh;`vs_02h!<U~%n9JqJRVg!q
z2+8!3{0FxEjLvvP1>eN+ohz|E`=6h=J65=TrvP~PfY5L(f>&KT?AAx$$DY#k{n7u^
zD)(R@=4$+^^4S{@EygVO>b__=5x60be*gC-RU(2onz?-F-M{(IzZTiM&p0^%w1grl
zSpSpi`VWTqho=8;KmP2)^t;FeJ8R>g{L|f=jj96*YRHNPnOK!2H?P@T9l*{`wkH+w
zq80P_2L}e~mTlkg*zQEJKzcTYGp|Fa3yl$}5ERA_M%Vtk>8}^?kQy3m6hM&DhJgP~
zLqU;Jrx(d#DkUlT;B7XfH>SrqMLPBdgd-@A88t!G@aON+5n#~x&orf^dVs_UfPs)l
z0pO^{2X+TAZ=KHOJ;89NvjneH_XdIWFO-g+76!}RJgV|NaA&!g=_Q&J+UCx|a;HC0
zF(qP5SRxx2y-G<IC_zt&M34@IJ|kJmgYUb-m==L#$_lF@2$XFrl7%AXvS?C!d3uA8
zl$yFbT^afv6nnj-QH-$#L8`;)xW3-srpe?WT78v1s)CX_dZJ}q0#FITJ#W5~F&#H*
zP3xu;eKD0{!#lZdEgPgeA~-T~v-EX190m~H5n6AIWYa*aKB38#2c*df%znpz-r=W*
zX~a%lsO#g$c9tHXf-$hCIz)c3xCcaMlKpe_pEDJ*H%d{vO`LbHIsyC!91}vJY+#<r
z*#rD9<pwaI^)PrN@YoDdi1}5&m&uSdYAC~SUUji0{2gjSu+RiPJT0Rt8}bZmNo!$+
zcpS%bL4wbx?{s&RA<@w$uzLVC-L_IYQBe+0el-W+`uIa&DJ31w+|1RHo*F|9y#>2a
zUj&;6Py9873<i{)Db`S~DwpiU^cM^Id5q4*NF$a#1gP{*BuAx1vKXk37jj%=x;>Pg
zl{)9*m;le9T+n1XUjG?h@`f_j@l$obX*8$+ZnZVmZyLxf?haL93$mkD%|-}SaiV#)
z7l7VF3Vhs<d740(p%8kt42YJS9obXptw8vA125NA1S`M85grHj?;rgFDad|i13^aU
z=C~$FxAHbyd7kY-R~GN30CI-GLX&rW|DD%|8?_G+-^8;Db-Q`ET8juqDK~p6shdzE
zg&k`GR4aRnLyzK3<H<_MKnFQE>aLYP&z`s!S-LTk=1r)3TYqnG;H@mn!07v}4n9Y!
ze7$Ub$%tdqk%SMv`YN8V!ksq88hIv%Ez`=lT$iUyD=k98<V{0c6LI^lD|CyA(oIb>
zc|4XoE50Qr1SvN^6g>Tj!plEwm*S7?^mO~?DA19!-)zV_2*H_=mYQ5sfHV^1#Sg7@
zP?SC?y)N)I*}~$Yj*gB=5GXbCis<8#w9ADo*f@++Fm$DW(zc7(jp7Lm5qSXCVz#eJ
zG#_r-U?Q6I;7{<50i84RO-v*c-WX31-dNiDSjcu23vn$A7u~G|j=4xbP>;0ZvKh*W
ziG3|>OLFO|RXtCe1v9UldD|q;x2fcX7G{tF{d9$`f1!M8(tWg^E9%v~r$OF*CPetA
zaEztW*Nm2vHC0|6D--!Hvjx$UvuY)KG0vYS$)fD8ug|vDYmFx@suXTwxyB<;w$zK9
zHbEL;s^3=Avq=X!e2|%if<DI7NJKGvB-fy$P{4`9VUatsoZ4yCTFqg6@&$R##Rkm=
zhkjpO2{S~JtGhM@;oCJ3Hs18TL?fr9oa_+$K?j!Yg5}(P;kruLGp8?o(SxPNdkt9o
zE+<<K_6&Rd1b5S|t`pYGUBu*o=y02jro&Ny5#MpIgZ|NNDyz{*mPW1fO8d@4@g`vK
zy|}ih=?94opkCUdmd|*SW9AN=?tAZ;XLM{JQ}PMc#u=BB-Qe<Mdx`gWNVeE$)CMOI
zIMo&mYOhn%1*)Kw#HQxtZHyi%*N)_e8;@6B#u&(=p7S^$vK(Bq)Lc#WS>g}(95StJ
zj8l!%xk^4y7IQ#d;%8Z%gn0P-Wh_uKK28)6*mX#~NLG8B{Z5{GF;r&F==$QA0%imx
zqw0)M6PaPgjujFBsJ1n@BB8leC$vp(GW11VG>ILsB!(z+t-lE(fUamJg|Sn8<^N$2
z$t@w{*FLa>E@(M3kx!AUP`bLM@jag<s+E*ncyvjanwtP!ojxh|5Wf&48SfeoI=QF4
z9hcK=4jABSSz*061>xw6DH5mgqsdZJ4G2x-OpyU*PX#MtB%Fm^rj3$oY7!C48N>K|
z>zU7^qVRcl;lu0;6V=omYc+d?9JzDfFP0ozJqa-Uy~Okyj^e#K;+v6ESH2o6Y~OqV
z=Q;A|#K~dRbQ+{5n2cC#7O{D3t#W1qJR~<;)W&Xpl&i33b#}1c>sGBDA=`p{erIi5
zA>$292HJ*RU6XupI9jXE4s435+uHj2$`atfvjB$TO#y4oLCxh(rh?=`r)Zk-fc<^l
zMzzGRg5^)@c9GCd*2MR|7ev!pYEtO(!2AB<Bgi<yT<JJp&06MG5<hauZ(ffF4AL+c
zfaRZoOqx_A`-6C4Q>8~}gxp5}^&<5yEGS?+`92O(cAfN<U0)|}t}jVFBH8)SC+xQ;
zc;{c4Hit{cPxu)RYE9N)!i*I)Bc6NgRNtNt=Fd{$4fSBgs+?@ym=D@do^Pifo1%vX
zxJ(|-n;!bvFGS>j=zcIQl^Ihj%fZgQ0=!MEcP1ofYj-(fUF??D@)3-DCd=Q(KuLLj
zTZOFNI4MA_+A5^KN?Zyv9IlxTXvxN&PoZj(E`hj!{*b%V3*4Q#fITcCbd^@){jP=;
zN%u_RtR34a^H#9;Ry&>_07pjw*lr8?K9jRMoF=wh1k3F}$dzNcH<oEB8qAy~tS;nB
zc!#JrF?I$y|Lu-4#xO#P3ki|c4(6~uvbA0SB$7-bA9Sj;*#?4)4get6-dt>gyo-=7
zy5HmOu4MujpmChS@Li9#oiSgTJW_^4>$VhdB?q2u8(cfEOR>X*LCNKx_h*mj>W<|n
zWXO4^<LI)Z@#ts}^4nvHn_5ik1SZSWu8&{J+9sz$c01eJMJ@)g5eIwS8a+)sYrIGH
zk9XD_Rvg41g_DprIAy~1hI3m}W4qd{Cx;ebK4x+Rx#T;P^}WsRO!O0_n(mL6f`mka
zOYK4FgCGK#<?cYF1gnbKz=#rw3_aprNz7*w?p8{VR)cI+o{Zp5_$<+1Q~|qSs7WWp
z^{9Y=Jmc{K5LEmav<-Vk*&PEin$s1_Ca4|V-NKI-UBuJo?{b{DA?;b-n8B~(0?H-)
zHVXliluYNkuOxEKyp!v2G>;i?v?6##%@h9lm7h<fMOX2dUIeU-8mX(OgevQ;r{rdK
z`=~t2+4gdDrF^z(vf|>BJ=@__2SPV?Rn6=G$g1vt)oSuWH{NMJxdd^}96Fy)3ko$F
z5YU)nGBZ5_2;ieZr)X~Bqe|4F!h>&uVCz8W8xn#g2?R%WUxDDL5t99Nqwc%cD)SaL
zz|8%_3&i&j2ymMV`Ov*03b`eZA;!jTo)PEI55y4a;0kFSeC%vq(2Q&kykYzM`(I~0
z|9n5*GrpCp$k8JIGE`pzm<I^ov(&=0p+{P8UeUTR*Nb3f7nREO{r2sUj(R-m8&8xW
zH^D%HZ{cb+yhU`W+kjq>nSvC1d{T6M!oA_s$k`nAf%FG>Z-$s_hy<KB-M_b&BE(wC
z9#$RpyoAyjT@DFFs1idMx>w)A*pEryx%(MmNbEdW2(;`+U53g(fw>zd?89n;md_W(
z%I*v$29SiNL);(8*<M#7b!Rd1iv-i8>)|XAj7y|oqt(xT&8sH>=*r{DfyMs}{A;wN
zrp)c1lZL4cchOZ>pG+7fH9m3OghK$fwKS_!9x=53Cg}C~uU#ta%Vn<%2Fo-CaS)l9
z2tG71y)Lnc6N=-4%^()zpUh^0>5b&@?*RHo;pO`V&6miv$)M`oods0G89>sLUe;Rw
zP%gMTcZQ_e|I4b{d-(*Y@Ug$5`(%PFt7C*1NVSeHJLY0^2{>N8a8G<&Mzh~&>a?nH
zMUd$HX6vjQL%dxb8HcuR`(vFe^w|rYK8jj}n`7W8&=bRl|KMu0_9ob84pUQ+5!>#e
zo4fMf3i;a!Mggpl?Tsx36InmF`ht&?7&HU6W0A5O991Ra(m*xcs;xDC`Bq9(pp^7s
zkk4cTo}IU$2jNWB{>R<wQvjsXPsU>;zXDx<G?oGRx9i2$)ZbI?w6^sykKb!AQ{_dJ
z<3N<CM|eFTC7wPSBfC3OeR~jE%lI;BD~ijK^OYw;?+R2BB<7>Xn0T57D<hA?_~(xN
zIw9wp<q#D{bKC8S;O%rcdiYR-jiF3ME6AMSOS6r)$w9$ufnrO`y5+`6gh6;iIqK1j
z8Y!8O701)d!QQ5sPMq1`bsm1Dny~Cz#n_3)9}|P$%cjeCj6iVLKb(+~l4BO(f*7hx
zeHbpVBzm~V1Fuqxfan*`yrMCI0gs%>&Et;j(1-5A)758uNY9X~_qDD=R+0>u!*Kq`
z0Q-43Nt1zPtVk%%dz;YFA#}}cfQRcd{vf-7((-UCL=&YDka%98YmKs1N`xN*jABU@
zb=@12GNFDil>HT~<v>>Ei#Qdjo%l2`ncb+dxNb+%gCrOsla1RNjxQqOWYMBNz73;F
z(3)?*I{B_4(S2OWVj9W)jGvo=;ovy1%C1Mibb6>p{dz|7AR(Y{3eOGk(s8==_N5e$
zJd<@wmO4|Ma%adsV&O=xlYLKVipn7u2)CSH3)rnNx|bHF=^GFXA&QHrw0#aF^<%8H
ze2mfSC7Wdi3MAqOb+O?X;&w|YM&&FOQC4QGm%Il%L@2E^h)e#SlFU8<latqyIhe}2
z(J$_kwsC2B@wKbZph-YMu5=JFJRThZbknDLG<1si_UzRH<J0e{(y@N=XCPOM%kOAM
z<yVIMh(4(lc#@o*;PyoIoA6}!cCZfoFwY;`;dV|53~w1V$n=5Y=PN&73hwk_Oz~O_
zWIXt;Ih$R4NW^d7BxJ{KBEBBfHhGsd<bn;m;TrLJ)yRRgcy)(cKfeKYg`c@>TB8WT
zf5lPA6saiCGB40e<#d#`xvshK3KVEMr;d2Un#^iqZ3LR9g7up@^b?H$iW`ZnGyFp%
zr|?N<wakXSZ^40`ks_MLD@s^zN+j?Z)_}Jnh!MZj)dw_fdEc_1k3>IqAhkdi^>~V2
z?}L)UADEyf4j5lZ8^}x^P%4!++30o2<`gEr88^ppt+y2^O?0al7D8rXs#l6e3Z}Cz
z4Q}BHWqAEMJl435yvz#U%G}}aqh5B}4%)1)j5*^C=dje+3QWbvUTBTfe1@N(9O0lu
z8EreYD;<vV#=A+G&w9vP4HC5=YYOdem0^x`2m+%Iax|3pFdH@iPpl5L%UP42$kS9&
zfBKH3RsIsckzZ<Sh%6?=)M@$0eP{uVrh&&IPJdaqfE14hJ;Wf6sw-|7*8b$3&wahY
zEcog;Z<%6{Mnb8*Q^Tx61+{f`RbB2>MynS{O|s=@<$yI4n9=Y90}#7;ZO<d@x~P{%
zLb<}z0LC78SSO82XyA!J{wCRCnQ2>k9&(%$9fcC*a3=HlU2)`yulSxf;WWk5{btKn
zO(v<%t~6}<>W`|bjqj|xzPXNys6|!KRB!AL#@KThoXiL-eqpwc-_Y!7uIse*2u092
zU|98=U0Qmt&Zp@P&t`K87+L#6X4<x>^(+<{8Z@auNXuzBL<Nyd76;ZuX6yO#y?@8^
z!+ux^SK`#yUit)28EU|~?azCFKt26|WH~P(kn|PF2RH9B;WCm^)$73XCQRuk-<^gT
z*!mT%KJ`Z;Sv8al1FMe5o5_U$$rRS&#Bb+H6D^f`z0}Gv8;&WTY?ygwf5pinstERS
zlWH<WJ@46t)h>FYt}R9NkL2thYp-?kS4GE3To3WuIy6T+<ABebro;-_>Sj)5&oZ8g
zgG@rx-5lh6dxz=$!M_4t)hW4dd%ueL)Q~lnxz09g{H=|H7dxRd<h~dzdXA9q3er&D
z3Z_v+=M42ciR(DQgRKq}i_TFW8ksL3ghkl|K0@2~<Yk-<?vSDf85_SH6z<MZPj;cm
zsLmpAt6e>mwL*0~I3M3RCB1~jSQ|(dhs~+z3RO++g2W;I59}m(hB)UW#+kO~pNS5@
zt-s9sKhOO8k9ktyrt_1z{}&_q3APEvp&;s`{o?EY{xXS7AmT&xP#r0n1EgYhfVv%s
zfX%0hkEvVnZyLD+(G8ICB6Qw$wmY&(f-ilQ2A&|;x41@Mfd8D^!LgCpd4$QD^z%FK
zIba9%aIC`GNKY>X68iFq{ukGit-(8y>kouB7*#RN;cSE-XfXP(NlDL9EbQVSj~b)4
zuOu4^Wrv%7b`A{U)=YJzyu-<DC_s`NP6*}@u1fUVNgfix6hL`;7K)%lOJfRhTip4h
zQPiiVrmCcWk4}v)Y^BUv|CJ203vlIvAN!0s_yhbPuzUJ%Kmu2i$K=Y%V%Rj#d@tBy
zXH;FI<D(0sYdI*hl>fUh$h8OhWW};S3jl+6;$yk}3{XOr6*`j)JwRe;Lo{-?ew?K=
z@s)o>I^J|=Hg=uf3Q<%EfOGzi96-bc?jCkX!1?M2G;|^v?&D*-r8aaJw*dBr0u(*j
zv!~(IEU&I3Qj#QJ;Fays4!;0BMg`0Nu1d3X(KYsY_9S_0vuQ_16z6U$_GIaRPU2V@
zIwAL|q=Bx(Y-l9U$MJ;a$&#$Ge7e=SdJpRjRO9InN|k=*Ol&5E80DU*J+nnxJr_mA
zl{Pz5l^isbl?umrqQ!=>BUR0NC(#?j874HjlCxY!+lCI2N|_^GsHp_}7VkH{l56BB
zg#=dD>dDD%CS5G{aAw-GU3WmZo&laXn88Q6T0#QObn37^s#fW*{5v&i%te);xAwU<
zBf;J!vyX5EnThgM#_h4THXS%B@t<kux9fXPKUq_3T}?*g8frRgzq=YF(^k?x!dLmo
zc;;*(YBvVY+Pu}n*W@NTNZ`u+`kjNg_G(QvuvA<9pvs{&<L~cFFqmv!@Jy}P@)Efa
zG8Vz~=FQ6qE4#f;>00IDDLwj`iu2NY9%CxAO(S$FZN_71fu?WvEv-<^_HhRq7n;8T
zcPKo3{LRwR?nn+WP;A%w;@|a+5&-7FB;fmksL_rp$GM=OU@ZxNH7h1%nR2C1F`mqw
zgK6lUHIg9w?V)G^veRsh6K`1ro3uT0iP0#%b7Q(<Zj7aV&HW`->gd{x9ye;ocMh&J
zSEM5_!hj%^NOmp+g%7Rl_ddz8LGLCjsLM4|{-?_12ZbB)Xm<JPp{T-jL_A(=OL$XD
zmrvwu^qgF+4SiT(tJ5Akws8+G-Mh&m8aK8xxAa&7UdORu(+{}U`KBqH!wl!X8!ZRY
zRkIfqhq2(CbP96jJK>O(-pJP6#pi}N@m`j$I@;P_`(z|(-GC|7Mm;>SBcRA^^Ju8N
z#{gv!c3z_KSxuUhmLI5<YPeh<&)%Gr#=6{$2fG0M25@?~0-U5nAokm&9x#bV0L6RI
zZqHf;>~P|5`NYJ<E9X7%V;m1eR|Nr<a~DPuIUV(b<$U}KP>&DJ>^gv_Vsf`!f<B17
zzqLqa3&nkUnD=#*V}2R?qGx2q?&Aa?*Lw*HlbFq?Pt)@jSE`{)b@H6-<d;(PFO@+#
z?^LcU6tnwF*DYNRt$kA=Ba1NP@<auK6NgC~U|kGsV+|B*>&ev|{B{M_66mK*1cvHA
zRGA%$$d>C?HyJrZ&t#~7H{sDe2lmT|G!1I!Cnw-6)t9z8FfbFtxgQ8m6n3zl8jedj
zRF<t!<lX~KkH-PY1iQ<g%M?KH-sJT-28lenGxAKjD>9_=4&dohJ)rzcJ}^o%Ecq~P
z-?6`02w)wM@*R6BuZfnSiMZ$U8t7GO0Y=VVh~N#pjda$h^Rya40@N_lWv?C{s98)0
zlG?)|F$OHbRCv(kf{%P7-+2puA*s8~S~llfwwhQ*FJ7Sq1b%T%<5Km=LgrZwyYGAt
zD3@l@2u}J!Tb)fzR5^NKs-9Yo9t{PTc*1-58%7S*P2JRr?nX4Nc7|Skn9IXEr_VxU
zGjclKoQ$rtDFyt``Ar4_exhT|!<{ao;E2IIYi%dzfTr|y9^+fG9{v6dJvm<nMSAjS
zG8fdIw~F?Ad0O}GqecPFxj<J;wdwARfrbm8&P34(Ay15R3$Dpzv86oyRyOD}TBg|x
zz>g3BNQg`l$hUHWc*JNpV>#<H-@_*zA7h}P=(g{?0C=<j7d(Bjt8{&8Y6^hsV=54B
z0Knamc}H^iR!sfRtV6!1Oak6}8MCz!$m?%8KChEygn4}a^<E(Zc~n$lVxrTblVzF>
z$m<<wYlGwiSa(wzfI#33W=?_6`RYtN!)VnE$b3Nb5!VR3_8`t*q=7K!>{S-rpJ2<~
z8)~6M<J*V`)TmDeQEY9l>2VL{Mv?t+#uC2g>RA}3m`9tuiVY-%pcFCDIiHeYvc&pw
zhHw4y^evu7Ar6mQH?swyUtkULW?x*t&Z^(}Y1DX1njkXca0&3Gnw`h(%sm!=#IQoi
z^b8SqDp4`_>qd)l547LcuLsR*=~2ia<p^~4^-x|@ciEWjsk~XK7~XId>N6)1{T0Bd
zo1f_#(U|-SYqNOAmIVa<1!dcfp>;qwE9n<}XwfTh%Ue(mD*n8!mD2BF&3T~z2I40v
z08%FG+Y(Q7bITTxAbzG1mgPIOx6Y2!zLh+?{?3PyvogL;4I;*iSv@8e76+hc$>JpM
z5kbv)Sg3i->hnST4=3@Z*-&ict~7NohcNzx2^}#|`ROvXU5h=>8_%<>ryf{1wIEvd
z0YHf1;~{yi<@AqWU06ns<yF1juzdS3Z08r*#8ii)PVjQsZ<Ad*M}XKZUg~ry=!bNi
zg4;ni!-AVwrvtzJXYz+v?Vpju`JK2gMx;<^c7Pf~Mo5Zh8zjL_x7sbMR++dC;UD0=
z-*Tr7Kr(*n3=&o*if8P#7aN)SnkZHG?xQ?`kp-O2Z1V$<)Od*nYDwjD470y!5U!hW
z#>DhDd2c3fHlt0mQv8C-CD^VtAE>r2ie^O#;yFG{wM8P}lW$(`)}CG#G;(S09Rb?*
z9mQemwmwsS?k(`iy)r9i{e9GS+e1H--(~62OyrJTVyobx<oO{=!2SJ^tKsO4ll%7*
ze0rK6Qc?y(Ns5D5h9#M^0kJX>GM;4x0Nihdn;2?+JO(1%!OLTs8e}UkOc^!}7+|1+
znjfup-ZHb<v2+5CZdQ6Rz%O3}YSw-;8)1%IJVZ03DB`Q@z}8dk%ngu4x^5%&f9Q$$
z^p1><`Ct<`kCA=H{B8#leQi3BSg}itIX38BWXD4_uDfb(k2D<TJILTqb)o{=TVr_5
z7lbgTE36j_U-=VNt*6PRqV7In9I)6=0)~fssRGyO0H?QH=`y#*zMzA_PlckrWt|TO
z8Ut%W`$HsIS>QOzD@G^uJM@dAMI>8RQFVg!#Yw3_R@QpdqD$GQY3bdLZgIM-GiLME
z94utaw6iDBoc5o!J{j+D!)V#SPa8758P#xPGHUVJ+TsmX&$QW|NsS&!HJvRxv#Sjb
z#$|`uS}#@+<*LyK^;O2M@BDQ}VZ9#vxS?ZySZtw`8Yq|)+TXcpB)-|ZoV|^a^(&K5
znTj93FaiROX<Onq-?*yaF_}tU<+!`UZUD&=o6K6NMvij%X&to6?a|W81EbOL65HOS
zVDYzy)lcz;GWha7X72b#jB#J05ru_>L_`GEQ0OS`%)j(zGdeaH$Z{#fu{Me-G6+e~
z<tbqpEBUy%ljRe2?O<U!ZXNqjw$SKv%e{zFAAf#yQ^&@guJTr$W+pLJt1jhd*{H;P
z%$C4Gkt1t5Iuc(k`<<Ba)o|*GSH`<xDbgr!fQM;&vympaQ%Xh%MHFU9pjw0y(4O0f
zoz)#?EC2+qkV_c2OT;qi+<$O+v~CHg`Ezd=pjBag3`zcpDj)g?28{(ZErrQe6pLmM
zr$M)#OeDleM$WR=N$bxp*5?^FYm=uq9d_5>gO5l}%9}nN%29jCTg%$?)Ed>yE6y<!
zSetd|<tXLDKues_Xp@dh1U+$OfeCA?Q*u%hUcnhvJ_)qw^FyRHX3lP8@xC*;K2rl8
zX2MF|Z)zX2U)x}7uYmq6jUhm<mVNsf9^xEqc{Uc$k1)NGzpnsgc{zl}Qc5_x&_l&@
zva3>Jd0E+sGc#yv7P*MO*zV$Za->nROsL|t(9u3q1UXIERuOoYzXVh;JY+<dk-;J1
zOy>KJDs&Zw#m<tlG1u#r<9?;DGY4$dM~g$VF;`$!K5;qYu3yf35^H-C0@pvxJoFy=
zvN@O`AclWXu~Z0u2ErDdQg)k58RH(ekp|pmko@JFbw`+;rb9N1Gxa+7O9%i#n#~a*
zUpXTKr9dxsVvR~rigjWl*Y2pC%iOnie?QJzWyc1fW`ATlezY=0{1#)wchk1303t1(
zU@?(%<TO^6p?Iq~-z#;v8^Wh-^PXkFd-7^KZmMEMlje+~WjU63GVcxPY{J5-8LHVD
z%d;D^jd}(*St%~KVWA-!_8$>Q#+2%Ln$R;n1js%rwBe$nqF(d~616}f)s}~ETGel=
zDBRYhdHHbzDbpE<PmBl;b7u-{Px%H@2o7v#F!Yu#A&%#z@vH0^PF<b}ki_?;Q2hMy
zeDD^r;fLESjjvwG@9XsI9<8oA?aI{_i34NWGxYJ+OVl$;zm6&f1SQ9+x_1Zukfm#o
zaEUnqv;twMLU=7e@&>%g<sf7uftema8f5dhPM1wRXp<16m5pzUmCCdT<axIHfZVn7
z5_9P4Pj_~>){Sv!%!CD(y7a0mN;n3yK2N>jT49b9P0%~u(5XDJKlfCou#~*;>zuJK
zSI?e!y>RcGJ%8LFJ(XRIs4v6UphmxwLN+L`w^75{W41p!BP`+6Io#H!Qi=fUs`+d3
zsq}S|9DD3+*1I0G^;P<+Dx;tj;PJQq_Ir&UCp$+$VNn=PvmgtDGylp5{Ohu_>W}5{
z_%FOg6CBLlC<cPV88?uPlDs{>e52(bwv&1E3JT417!`T%#}IbPEjdrg`S*I{iT6@U
ztg{)jE!G?AqsfqEvEW%HPTR(vs#4xFUY9b*eLB9&hz`I&uifvg(#tnjvNsQ!sWIIJ
ztme`k9-ABXUzxU^*^8N?4^v;ZrNb+A8!NIT25nX@bW-`kRrv9TI=*2jMtze}N=6s^
z+Nb*shpu6!GenaJp2c`D<$)>Fp8Kjr^&xf76=_NKZ*JIs`|=YB*qpVQ$V7WzR^8VU
zttS$sET5%AuC!tIl(Q$VPgi5_AiR44pg6r&f46CHY*#0(S#EA8w+WudEhZ-JXL|*x
zMRc*W_&uFxlj!Cyy2Ic!L^*~Ly6K*@&};HO5_R$<`e9wl%cua;wVBIU0Yc=WktZ&V
zS0Q|rE>l({IQw@wwZK};nzzX@XfBt<2An$65%?9+E$3QOEh4Q|);GyLYLy^jx?VX%
zGf!a*#x1o>t{O9aX1;&5HC5Y-q$wN!zX`Q8gxDs;%TA4(x0;Q2^`k^uag+w-!eU*x
zXzsFHJu1oHfGb8>7}T)p@15ug2BOfb^ILN2ly^TEP<xJ@%+AtEypJjA&UM9W3_3?d
z)08(o_^(B*xp6ovOx}J517!;>wkkF-dNs^2C&hf<g^1l^*KNu{AXaEDRu-Q!64S#-
z?oa^!9Xi39ozXRJfGeaI`Ub>ZV}ypQCfaa?=tqE9nioz{kK04$Wh_JnQNbc6-ko|O
zaZ{k%=~eNb`k~7h>?b`Vrce{%PlNVnP5P#&h0EQ|xh~g6kS`>uE)MT*V|;^rp(vo_
zjh(GBtx<`;rcukERqFiA!kIsQ95S<1k*}veWNLqMGo-c-QgO@{1%WkI!VNzxx|9NN
zOZ;+eU(K@2s#LTMF_G}TzJ~dR5Gq-e0h9TKNIG%`WD9a&c#2fYkh9W}oDpHKYzIwE
zbpJ%Y06h|%>+W=sr$V)3)|lS3at`@0+0b6c1&_w+=W7%gu!hf5q0`txe7%7~3rbEI
z=gKCEY&Km;YA<$4P4s>ssCB$ln6l~agOnKZI9w4UvptZv!Pwj4s(XxL;-$%>MPlu8
zv7UM|60Z4@A+)<bZ4;~Rj8^~%B-`G}y2%Dc1)I=B*0qOJ*H39bEe&rLoy+&RNcPk?
zU29Br5*50lp4_e{ebpj)-Uc{1W7eRbn9TdHh}pACDKsF(FoU7CI|{`X!Ro$2o5NY6
zx-TrT$H=;{$1c829)gUtc0$1=A>VFa!PVgRs}O1yEP%Si%iI|N{-!rk;ldE&vo28D
zX@r$ejGDIjXW|W%$~I!APM3*Ut7svZ-N%3*9$TKn=uDA;fw>f6Y*6SL7Y0Y!53@DZ
z*}F$vt7~(mGxo@mDv2Tw3U@<a>Uwi^-N=&&*aE^$2}vMO^8&Gi_Sljg*@u3eo&l0n
zh8?pE1D+&dd<Z2c8>i{L<Zg=jtSI9bK+z)%pRvnPt5%&Pdw4rj?33H-Kg<24yNTk?
zR=B!O0q`fD<@pshfGE|JB#4W}1n*d!R^K60=#Pf;A0{8rRim3l8@%tK;s*6@Mf?cX
z@eaU+ub?oi$A{ewIqfh9!Vh&sL5!Om6~e09fi<x5J{n|BJxPDGalr3|eL(yq{Hab;
zip%8d*F$9nir$3{2lTd%aIT~GAC12u_z7PO4tGXxghsbqN0hww@}4&%^?P0re2*Na
z`>D*e%mGtIqri`d`pqXvA6d`REJfY`ewD;BNHw(#BMtJwE0i-^tH6TSA?%t$@fR0+
z0t1KH#|2!ksMGEzSj{(l8KTaj(tXMBz&z%ag8A4kpkb{L7=p|z05(`5q~?8ogA-d>
zvJ>kb=ka-4RFG1`NDEqokZztpr9fwG*`sI2`0A6%tKJ2R>5Q$;I+nX-=8Jx4M0>q}
z*J8ImkX+LoW&Hj`Q-_3IVFB<<fK{JL?fc%flWhSD3o=*IRb`{(zYq6N0frmC?5u43
z^c#fvLpwl&=;Tb#cxNp->6Dd~Yg)7}o(7RRa=M3*eo`qhR(?C_w9d5~6?2y@tE#G^
z9gXk%FI#r#++7h9emK1=Er993pyH^QvU{d^u3d7Y?qrB2YbY(gU;{$SYj`vv#cvT2
z6%7VA<f<X*U67jq%I?Np0^@5EGCL|j8)L|Oil3nd6K0DEPJmaSOPYe%y1AD10fMz+
zrWwQnPQNe?3SScL3~2B;ivO)2K;;TROnNAp=gkO|Tb@G|YYE@J=8=}($pAzi^VrZ<
zegjNIM$|iQ2f&On*8a<mZJaRhKb7oDhwmZKV-bD$09ksaH1tZFd33j@%48$yZ0#}G
zzT4Gdt@BJpx>NN<^`Uf8N;w-0=E-@5|E*_~O@=mic!7Phs~#`}r|f!Hd$P_o%iS7L
zZB8h##QQ5XMs;QI!_v@@dLxuW2so`1FuzBr!N@UC{kR;QLl84mIvZ0&r3g3e@ftWH
z3CRGD*S{}FhV$+PnN>;U_^SM5)riPS(OHOC^Or01?~ZLcEc$W)2jC!py3^S+G#hbM
zn4}&nhl@lEVB$=wwf3?y6S_o~bRf(P21QD%mv<rPeB~rUBxUdp@@xB@@wyC((}sOY
zV}?b$U1LoT=-a9h4kugQk5A~x;fbvk`BAr<9|4w71czzN`goLmvH7A1P09WmJ&lXq
zsJ8g=h`|0^!ne_X-4E{c3gMV{>m?OtR8aZrx%R8b*(-_w32KT)K--)9*6Dy`e2kJ0
zFhy=FF6u`%UU>4?o5+5*$J<|BR|(LgFdp3wM+{G%#+qrS=&Aay<wsYb@Dt%?3ad8U
zyXSemTxn2g>0kapHucRm_oBmTBjH6lvEDY1U7VA)lVyXMZ-%^6D>K(~sb16}G8ukP
z>}s&Jx`};Wy*w7TWiJQOW^^fe@CyDHr|IFy?tJ?393<?mk={r7pR#2-(SNU^KbKPt
zm>52Iy9Rf}mLlK<bteh^3@dV=CZ}Z?P>I3;_z{zN9}id9)!dtcUQWkne70>sAJ>_P
zZRp)l<Ke>PJl%`GUu?*cjUPIP$x|WuV&U7WU%hrzNcbC?4Ew{fGLPbo$K^K@Y2N@7
zWs<bO;a3U@j=1zJ8HLaOXbt9aen__}6gg`pqc2xOKoOPU8PIBP1Nr$jI3apAu&3J{
z11MvLW%%nKC<FY_!2~TuxzH6klC7d)-i+;zhg$HxsYwX6A5quA?8S>00RP<>N?)AB
zU+qZf+iS~KujYOp58yrHS#GU1gXn-Z={>;tk~6{9@F!L*&Iryd$_`!XpsiL>A}1$D
z=c2{pp~H6qEBAQZ^E7<_$zr2cmg5JXzR(=s3G|ahg9cPaZ%ucl92V0~c>QLZdRDU7
z%_YK&VG%MBr~*E^vXZ)ccw+9~w;<l*)^pcWZ&&qh^`aqq(j8RJD;SUm_uch{Ytusr
zX$fYlXjF4d?lmQ)FvIeWjqULXotnIqVl?;aQ0j%)m19Q6Wzw>I721PtHgRNIelsrR
z!`D#AF2kA+VBv6(<osU5uGvK(QN_8!{QM|JzB;|Vc@%uRID5l_%4NBN@&(B8M`m6G
zvN5Pvy|x`Mr3v+M`SLkDEKI))?l!YhiyO^27s}=3GdrmDTUsooH7Dm7MQ?^Yz4;td
zA{))_#Ut7)+&0{~PYeOm&wk(KnxwAM<b1cMhj-F$CqJZou*7GUE43tV(m()#R%)-}
z&*LCb^;x-<ofocmvnM}SpBLwuik$c{Vk`s=S0P*nHASb`VNU(~N7X3m9(c;i-a$c|
zb>@dQx+2Z8u7sTIo=L7S*_ez_r9C4d*fN69a9A>eZqARqV%5Tdi2y6Y2WRJlcFOR?
zogz0bA~-DlbXVxI<SO=@|9S-JC>QE5)1R;8tU=wGDLDD%6T6F0V!?%NPN`d)Hf;09
zNLbG_q3GXE)_~vr_2V}fb5B*68BMixG0HGk+}h`-zIWR#;LhDtJdVkRLAqLIsDYa>
zb^F!hpxXtJ;TG6+v>{hDdR5Nhu~8;kp}`Rp&Oy%JHCyjrGqI_qCro0=#D&74)KxoL
z^Ksm@;O<Uw+c4&&ti4mr_+6y+K|w*}g}LwF955ns6`13hVU~g->@ge`fzG)1yDtt_
z-Ho5SIfHIEoy0zM{L>HY2tq3a1O!unXee7h{^}DczO=M-C`xAe<YK6`Zw+~yvs~OP
zEK1$AO*5aypZi9`NYoYl@Yg)unO?>pAIREnex*Tj+R*T#ImjXrhVR)!7rl)=*+X(A
zLT5LEn7{2*L_$G9v05%8EQ0YxvTC-Sftp%dKIZ)WyP#1S$Y(6#!zNRMkuYle(Hu~x
zE1|uGZ-4bGXtI7Tl<AD&F4UHq+b6h+1s+o<`ZE<R+rQ)2>8ar3wXZxcE*G@zzGpw0
zoBROvfv=G7-vJc}Q}s~)aHX4&ixoau@DT2-<PsxmrEntQ&vUxMOq0}QrdDc8WvTEI
zLRyjb_!w@4H+>E4kgaq+5GDT}8B}p~2QZC|jcWUPam&3;ct~<Ty_>2!di*Ahp?1o|
z7hHdj31~Qb5!c8Uz)xm}*Q{4nMmkBzb(ej1FQ@FBON3v^0>)YHPb0zbq(BOIAR;32
zVY-5ih2;>i)G11gWs!>BxR$E#PnniZokzu?)Ok02`sb0eF`iHwkLAtx3|Q>W@O|F{
zZzGetPz~-KX`O~;TlLgoR}+KyBgrcYw0mX=dA}#kuhI7!`MqWc&WY9_5>)`r97|m}
z@6NxE13G>U8~UDEuBvG7%b!F1&&LzRI+Zxfk5lP?`lL_6t-QQ^f8RWYYe}*YB-so%
zm9|vDgjEL<_BgZ;^S@aFdPH8+-u~kHbT&3RdKvbk>j}_yf{lM|IOw<v3~nfBQ#X33
zar(bqh=<PUd}WuUfw~gi4rr&Mq}g^ppa=G3>Y%P<8eD!4YG^oai8+uR9!HmylF}1+
zrvQ3(1Dg?Qlt$0#&royw1S|6DRUzL4G&IQn|5reXn;$QB=jP@BOs_1{YLn;+!$&<Q
zo@am5VE^v-s1rOz-kVqjX%$;-?FFFd03wbfy1r=_QNDX{6SSI89}eO29RA*zz->5F
zad)DaCiPP#Xq(#vnAXKA%Cdj@G)~`b5Ri7bt-sDf6XE0YfNDK;b%On*c>>@)JO%Fo
zO-({t`1jY>=-hx}#1Rx7HkbMV(bJm&9t|_x!o4EUa7fsD<Vs&GCd2;>6Txj5;6(qj
z#G<`*i@x*j<<r63pL_Qs3pDJ%=JefnJ3l`+&INP3)43=M{QD4%CRC1M*TwJly28LA
zg0esYlY_v(r+}D_1`MWSq%#z=YV8rlKckrH_1to(#tM9Z9U{&q2wH28M^xafjXA)Q
zo(S$qRGk+S^5>qIFt=4jM@{K=7~sF1!HfTJ%Vq}q_l8_Bg@uKn=x2NS96jjCI1y-w
ztC4#_#P1)76YPhvw6r94+^YvBZos)7B;+o7cy@jK{BZaXE@cJXh%n6VmwD2sq$d1s
z=}|~szE11w+Ni;XhK8e~Baq^pQdwOc2c6On9x$PKTl#k&gB!YahB82m)GMr>UG^7%
z+sfpEZ9<)C^RDr~o)e3#&ZKud#>2zoPoF$?-NY`e`TLO1VXjaHfE|)71ZWGybdkY@
zg7;u*U^Agv(cb*+xfhzi`w5uH0yU5CEc8sRiwk=7geMHrQ4YALZEiLs<@Y_UYU|qC
z+JLU8@|KtP9vB`7pzn6PI_IAJoi#uIdPfJwVR7E}-^cyABwD$HUnHgf{Q1wM{B@mv
zG5Gi4hLYUhH~O`J_MwB0@hd|?eetJfem-^FF!*-`<jKEH{dt|>D}=|cJPXX62!BTZ
z&+FV2kRQ9M&>3I;e!+sZ2*zr)!LrdceAB*^1dV>OYc2acdT>~2V3$|@_TBn#YeF84
zm1yAy=gh8mK;3;&=|(O)9xT{k58mn7TuJ-A2)OlNa-KEOpa8Fb?;iY#1JbWryM!~P
zj`BvJ&qt9SyH=hIaGCvnuDC|n6VzQ@p;d}r>qWIbbXPQf^SnkGLO&QJR#~uaNk~rq
z*@P~XT`xTm14egMZ!go)Dm&**HLlR^QPepgTiL2{zRDD=2AyHwob|WwWaQ^GPHt&-
z1GxpPYrcJO*GoeQljXjc(8!Dl;{l_Y5^S)1=D2)_e;$VgHtady!2o*8fq(2xE)DbE
zdAcQ&hSO1TV)XMhDsagcn9p>^lPSMj3k`Q6?RxqeL<8%gnjf_nB3)eeUqfaTyFPdL
zFs?Y`=H=FI)aGVDru<<tad2>2T3bhH={|q{eDB`9EJX%7a7JIykfX|ziL=1E2<))D
zTQPrid783o_%NEZbK7Cv6neGkdnOE1wc2dV?~LW48ob;bA8&$UZ_y!*Q@QJ<E67H|
zaNOcggyoQEQ9w`?17j2dGTZ`od#=aT$-1Dl@BO)+3THpCF#Y=NHC*Tfil>D^rtT}*
ziu|XOEVCTaNdj<f6$S+*Ay8X%eb?uF`&qx6=oW&^INN#MTZLn^9<4M>D_N~>`Z2fD
zy3U97-nYvl9xW03^8E@8Xt)S46h5S+nEZ)0k$xaNWIiV@6$~{#O}v}BRjy!XnVBN`
z{nP(F(8LpP;k^pAKN01B^O^yKcmL<xaTIP~m7l71C{4-O&a?uE0x$rcu5sdVK>$g`
zGay@_1inp~#pVp8yx=qrAchG}4+Yz8mbz@5lE0e}xN(}aD{&qm%WKf9SGA#ynUU3w
zS2!3L^qUr7oSy|pfkmmR<_&*V_Y>3Uiss&J-YJ=Ljfy8^t+?_zZ&pXf$CVE@WTpAO
zJn&@p$gRDJXaGnFSo<ot@l~>V5DYBGG1JEmkRH&KjDPh7Q#5TN<<DvarYI}D*};;i
zo)`eFn7FyQIXF1j*n}C4s>+xBu8v1F!VN!gLNSawW}ZNTs1KJw3Yty@75K+1U8v1d
zRW|oQRW%@Q&;OppcT>Jk!fn>&Hu?xSWA*@t2lffzy{?GmRS&kalq%a@b?2ktXA3~B
zh@lEZ5(exTx1fp@rC)L$z*GQ4qz6a=#t`j8(CDQbbtEu2rFr+80Id-m=p6Bmrphfr
z0V-YXkdZJ+-Ojc)1j`I8r3|(<`U_wPNV|Cqib|o51ZL>z>Cvl})p?^lc(6TN8*4r=
z0ZbTrAFDeZ4~H%2!CZkf`b32_O==#e-!e|iInZSU&TBaC3;QM5qssY-95ueye~{yg
z&p}cP0E01gNz&N>n=*+j#Ltafy7V~W-}DYbE#FP;veXq*DZlzXmhaY2Bn&TzOnch$
zHM)kUr)T+SD2k{)*^2oqCUYi3j7bU#3a><<ad|Ql!)g9WsgvF>VFk!05r(HEB{lJh
ziTz)uiNflVehh;_9)4RpjQ76c7z7>V&ez<SLq&{ye9@@NC3O<dtiz@#5LqCdSM0>N
zP|pMJFPbfA3vKGEB*Lt=5yR>G7IoPz1Q4VV_;Q8-)1&7iZI6L}Vo-~WBx!3vW}|$W
z#WIqjiLtSdKWj{mqG5U43qqGnDhs8Pe}Y<9nCoYPHM$-F;ll@m5YnLPE-H~TM^JJL
zXqF1YT*+B6guG1vbpZzc1`PBhRlU!|4qHqO+rVp)D4Xf_9N4_Q{Rntb#!rLuANq&$
z(}jQNHee)@(j#MH>po(3<DJm3>As?DOu^%z4!V!%$y+aOb`5B=VHXr`h2LN{f9M@f
zE=i>CNsEhTgx?EJMEBIWn^BgCX`-s|p6PQ0z66bStPz;r?T!W9{SmM+Ey|AdxN{5L
z+i(7T9T`XgZ`zB_ZQBb%FFn2APUR3hXG)O{uU$q}$Jr@K1~ufY8nZ~X!ooVRm`;TU
zg@<>DciIdB(%%@OV<pnd#-X9TyV3ZN?<Zz%#Po8Rw2=a>b%^6xU;|Lw(A*%#Ref#?
zf;~G>Gk)f&ty6RV9`e;=L5Z;yeYq_T_U}=m{ar0AuOu^8hb9gjEo|I-pdf6t|8Bm5
zk#KFVVHGVNji*n@lqIukQ(|Vkq1+)~DOU}#l7m%icxp>qNO2)@k*$ltoLWC7ESsKq
zA8G2O>kZQj7>EQ6%XCL!fkaTtw`e1Skk)v_F50e<5Mp`MVJqLL=L=Ur|GTHjjyX*m
z#auYs)xJtFu%Y(<ZqY+e1q+rvRARh+FWqQ}lw*8Jr7iF+yRKW_FnPAWtWBypvV0DB
zTjWm*wF}36xgNAgj<UWL59lcgr)%APDlBX457otL&{ft_WK-f?%sd~?6H<G&fV}f%
z<$=;TB#bMGAY&bG_&&}gE*isWLoAfUs03UsFfm(B>@ZF8cF4SuO!jsf`|<CRL?x35
zm79@3q4g}`iSCDJNe&i8Blk*^abYUm9u}Mf%Px$dnz81@jD9R@ea1;t-0$IILuy+c
z28<Tg_NVewEm0<nsZj+SrSE0wnvctnBcQt8US9Y1qc3Xd1qYF+i{$j+))nAk`*-(y
zU0^@J#V8z?({!&I_MvH5XK;8%gBqud4?p9u%eS+-BK?RKc3<hS)4R229sT6XddDU_
z|E_g$g5FT2f|$?BQ#qXbyrSCqimLj*Rz@Srp`&}#Ej>z+9z>xQJpgP$g690Ggf6SK
z^TSmx_lPOQE=T76Z(f}asa^tDZH?<nB)HWNhrQ}~$s}&xD@uLdN@kdN9}@ORyBR<4
z%sTlhG6DB-VVqUdJg;yULc0R2q7*E22TEk24$4$J0bpd3$Q}e<9QC|xmeVUDXzSuS
z4;k0#7>=`G)pjQ!G7setw?yP*$a(E2;**i^RB;>Bt9fr>{1M{}Xt`BUiDvZFEa+*@
zl`!5c=Hh25m-XeR)WQ6Kwj&=R%KSI@>wYxHC$WUHK;RbA^g8^MF6ijB?UmI-VnjJu
zUOjt6y?(xDUY_EJ$?w^58lFD)d)fA`iK|357DWUp;n~D{3(je}C~6^RJ)Z6r);33q
z?ziFh5uL4sGP0PUOec!GhdT0?)YX+F$D|yMpDG>(+ES#N#hipZB7w3TF(=XQqt%Z>
z{hWJ0SgJ&o6o%0S4`CRg&J2Cal2uzXeLU+a#2tmut(Sc6JsJV0VE2Kgayw2-2wzk#
zJh5`2S-DR2W0z2vJ!<}-&htSy<PMZTw$Pw29!i#sa3T8SNaLvgGcjFZBp*G=53m!Z
zvaaS1Q)+u}`hJL&>@C`4J99r4W)d0UJ1J}`IbKGH14?dEqVeb94kl7D7>0I*s4Z}u
zK-j)3uUD)SSx}ARYe*<B`}G3*^gh-B`P^_tni0?H_X28NzhoYyEakYB&bkPio(7XK
z5dYJw)BMlk@Eiu*v|hy_6nl^v*E=Z!PwRjoST=saZ7aK^I)A?Z35y?Xx(1REn_l+E
zt?;Fm&WeJ{cW-ip6W`SivnDt<S3h_ukKZU(a@+1i{@`QQ|4gvEBS+VD4DZM9N<EVO
z`wKbu@%97W!4kn~-i+0~?PMDHdlLD1D$oysia+g(f5}UvY9VV?II+8GBWAIa2<2mK
z7CN*Bq3u=sch$wxFNS(fd&!=qU^|Moohny}Wl3C3ZnRIRnD1{b_+w}dp0M|SmT3^o
zLSPHh+41d&tCzy@#tF?=jI|tksq9GpXR?8V_p^tA?9uPOmZE!*j`3eWYult|U@ho~
zVvZyI!S#MW$=X9VRwosv$(AQHQ!tVyA#JT#X{AN;()(pEd-}BgL4)p2Z%5^VVp-^#
zIz${DZA~+0XH-zFezXK^3vI@adld5SPQd?OAczk~GM=)AM?7e^K)OjqTLV|YJKM5j
zjCo~eZumcl%+JeA9(gf#GOnzylGeTT<Be>=>E|${Z<+XdobZ-FHvffT&%YSX&nw`N
zlj6jm9+;p!`7(Zh^bOk1%*>pK^Ca1to7n*cU-q#dQqKPgT(PK>T;uTKLt)eu#S5PG
zifmnzLa}H>p|%leIHPWL+sLZd)BR5yK$D7IKfy36P9H}ou_FAUglR_##n5w|qf)v9
z0E}n%WaqqR<#_HB#&dLRE$G;Y7ZEwA{X0PK`lL_D&G^cPIiGdX87VJ4K(fr3?BuNr
z6BOEm2a=MK`QCW6<42t$)P2yC%7sb%+KO9}n?<AlPirNys1W1(nelZTunIPlT`ya^
zdz#cY81B!piFba6N7Lpo>UclR`5g(oX)BomziM*)>$Ly-MhamOV$#!p$d6-8>WIIC
zEYcxzFf#-{y2scF_G%D_%bFm`eN|(6D#4{Yx5aBV6z`0s`hQy^<0{w@|ExWQYr5zQ
z3_cKK;w*l|as|9_(e|e4up9E_f+j73hr~MFfyTWtXp@D+;wO5x%6|_^zYfrv%5Lwp
z^~grPTQ|*x!TJSs`j}dszJf|IU}g%c3v||rzAr>ArHfP)Lx`ly?S(YHJ^u3l8(QH5
z?4Im)@L6+g)?$v?E6*I?GTli>b?5Z{iH+`VZb1RSh%NpDY&GTqm&O4%_1&1B<#IVC
zVcU{cz8mKbP16W|kX*87%kinGDYk*Bm)qsclOIz|f<=Jmc!?KIcT$PFmKnLbOgGTH
z_dy^-+GXGw5WqHb!T*1?r&g+;GGsn8ZHo)5om=`%rrj}!zBhywvC!ev>@ChSA4syE
zS}9PP^vgW0R{5{n2Gu8N$3HChOey=&d|<kMyxK=TU@i79)%nYDD^ZJ<A}OzJnV=CT
zl*n5Xqo9<2YOjgJPIE4mIJ>mV`q4iu%*?g{SD59zU&=V67C7t!Z1ej{T5v77({XU)
zvZ#~?8QRf$H$_D;V{o^_k-H)GzYR|bRwc(8F`qdO+%OAl$1gj)I6#qMb93bb?eKL0
z9hnbAY8ML>PB#+Wba8r7na{<>Y*@D&*6WoL*65rmXnAt`7PpzIuJNY|KO67f@p)&;
zJM*gbQjt3oXYtekN5^)2p1I?+)BV5)4?6a3?CbwBeVhAhjGUPPT!(u`<AR4sk}S|R
zErEv0*P<`W3qJU--|e+GocBQBW8kI3f9wo&-M;v~{`AGW*6f(YqB*~i$7jI-1{}D%
znIZXfi)!r>hcCX_Oq%xZX4gJ1t}O3Y%Ko|UhEuVzxAz~Xpp=BNsVNV(ERC|xLyW{h
zlIDWAMvpy(AyblNUrzr7TqkX&uRAfQ_*T3f!}4a%1HhAOXU(4d_+5tBuEd4Slk9$+
z_*OE76+K{HiE8vu^OpS5FL28DoDOiOgtU~D62tWyI}*3LX{<(cxWTbpvi-n+X2Cj*
Uy<tBke=-1pr>mdKI;Vst0K?7%wg3PC

diff --git a/chapter_stack_and_queue/queue/index.html b/chapter_stack_and_queue/queue/index.html
index 05422beaf..016f1e155 100644
--- a/chapter_stack_and_queue/queue/index.html
+++ b/chapter_stack_and_queue/queue/index.html
@@ -2606,7 +2606,7 @@
 <a id="__codelineno-20-33" name="__codelineno-20-33" href="#__codelineno-20-33"></a><span class="w">        </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-20-34" name="__codelineno-20-34" href="#__codelineno-20-34"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-20-35" name="__codelineno-20-35" href="#__codelineno-20-35"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">capacity</span><span class="p">();</span>
-<a id="__codelineno-20-36" name="__codelineno-20-36" href="#__codelineno-20-36"></a><span class="w">        </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-20-36" name="__codelineno-20-36" href="#__codelineno-20-36"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-20-37" name="__codelineno-20-37" href="#__codelineno-20-37"></a><span class="w">        </span><span class="n">nums</span><span class="o">[</span><span class="n">rear</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-20-38" name="__codelineno-20-38" href="#__codelineno-20-38"></a><span class="w">        </span><span class="n">queSize</span><span class="o">++</span><span class="p">;</span>
 <a id="__codelineno-20-39" name="__codelineno-20-39" href="#__codelineno-20-39"></a><span class="w">    </span><span class="p">}</span>
@@ -2684,7 +2684,7 @@
 <a id="__codelineno-21-42" name="__codelineno-21-42" href="#__codelineno-21-42"></a><span class="w">        </span><span class="c1">// 计算队尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-21-43" name="__codelineno-21-43" href="#__codelineno-21-43"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-21-44" name="__codelineno-21-44" href="#__codelineno-21-44"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">queCapacity</span><span class="p">;</span>
-<a id="__codelineno-21-45" name="__codelineno-21-45" href="#__codelineno-21-45"></a><span class="w">        </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-21-45" name="__codelineno-21-45" href="#__codelineno-21-45"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-21-46" name="__codelineno-21-46" href="#__codelineno-21-46"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">rear</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-21-47" name="__codelineno-21-47" href="#__codelineno-21-47"></a><span class="w">        </span><span class="n">queSize</span><span class="o">++</span><span class="p">;</span>
 <a id="__codelineno-21-48" name="__codelineno-21-48" href="#__codelineno-21-48"></a><span class="w">    </span><span class="p">}</span>
@@ -2742,7 +2742,7 @@
 <a id="__codelineno-22-23" name="__codelineno-22-23" href="#__codelineno-22-23"></a>        <span class="c1"># 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-22-24" name="__codelineno-22-24" href="#__codelineno-22-24"></a>        <span class="c1"># 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-22-25" name="__codelineno-22-25" href="#__codelineno-22-25"></a>        <span class="n">rear</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">__front</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">__size</span><span class="p">)</span> <span class="o">%</span> <span class="bp">self</span><span class="o">.</span><span class="n">capacity</span><span class="p">()</span>
-<a id="__codelineno-22-26" name="__codelineno-22-26" href="#__codelineno-22-26"></a>        <span class="c1"># 尾结点后添加 num</span>
+<a id="__codelineno-22-26" name="__codelineno-22-26" href="#__codelineno-22-26"></a>        <span class="c1"># 将 num 添加至队尾</span>
 <a id="__codelineno-22-27" name="__codelineno-22-27" href="#__codelineno-22-27"></a>        <span class="bp">self</span><span class="o">.</span><span class="n">__nums</span><span class="p">[</span><span class="n">rear</span><span class="p">]</span> <span class="o">=</span> <span class="n">num</span>
 <a id="__codelineno-22-28" name="__codelineno-22-28" href="#__codelineno-22-28"></a>        <span class="bp">self</span><span class="o">.</span><span class="n">__size</span> <span class="o">+=</span> <span class="mi">1</span>
 <a id="__codelineno-22-29" name="__codelineno-22-29" href="#__codelineno-22-29"></a>
@@ -2807,7 +2807,7 @@
 <a id="__codelineno-23-35" name="__codelineno-23-35" href="#__codelineno-23-35"></a><span class="w">    </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-23-36" name="__codelineno-23-36" href="#__codelineno-23-36"></a><span class="w">    </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-23-37" name="__codelineno-23-37" href="#__codelineno-23-37"></a><span class="w">    </span><span class="nx">rear</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="p">(</span><span class="nx">q</span><span class="p">.</span><span class="nx">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">q</span><span class="p">.</span><span class="nx">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="nx">q</span><span class="p">.</span><span class="nx">queCapacity</span>
-<a id="__codelineno-23-38" name="__codelineno-23-38" href="#__codelineno-23-38"></a><span class="w">    </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-23-38" name="__codelineno-23-38" href="#__codelineno-23-38"></a><span class="w">    </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-23-39" name="__codelineno-23-39" href="#__codelineno-23-39"></a><span class="w">    </span><span class="nx">q</span><span class="p">.</span><span class="nx">nums</span><span class="p">[</span><span class="nx">rear</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">num</span>
 <a id="__codelineno-23-40" name="__codelineno-23-40" href="#__codelineno-23-40"></a><span class="w">    </span><span class="nx">q</span><span class="p">.</span><span class="nx">queSize</span><span class="o">++</span>
 <a id="__codelineno-23-41" name="__codelineno-23-41" href="#__codelineno-23-41"></a><span class="p">}</span>
@@ -2875,7 +2875,7 @@
 <a id="__codelineno-24-32" name="__codelineno-24-32" href="#__codelineno-24-32"></a><span class="w">        </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-24-33" name="__codelineno-24-33" href="#__codelineno-24-33"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-24-34" name="__codelineno-24-34" href="#__codelineno-24-34"></a><span class="w">        </span><span class="kd">const</span><span class="w"> </span><span class="nx">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="err">#</span><span class="nx">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">capacity</span><span class="p">;</span>
-<a id="__codelineno-24-35" name="__codelineno-24-35" href="#__codelineno-24-35"></a><span class="w">        </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-24-35" name="__codelineno-24-35" href="#__codelineno-24-35"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-24-36" name="__codelineno-24-36" href="#__codelineno-24-36"></a><span class="w">        </span><span class="k">this</span><span class="p">.</span><span class="err">#</span><span class="nx">nums</span><span class="p">[</span><span class="nx">rear</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">num</span><span class="p">;</span>
 <a id="__codelineno-24-37" name="__codelineno-24-37" href="#__codelineno-24-37"></a><span class="w">        </span><span class="k">this</span><span class="p">.</span><span class="err">#</span><span class="nx">queSize</span><span class="o">++</span><span class="p">;</span>
 <a id="__codelineno-24-38" name="__codelineno-24-38" href="#__codelineno-24-38"></a><span class="w">    </span><span class="p">}</span>
@@ -2944,7 +2944,7 @@
 <a id="__codelineno-25-33" name="__codelineno-25-33" href="#__codelineno-25-33"></a><span class="w">        </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-25-34" name="__codelineno-25-34" href="#__codelineno-25-34"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-25-35" name="__codelineno-25-35" href="#__codelineno-25-35"></a><span class="w">        </span><span class="kd">const</span><span class="w"> </span><span class="nx">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">capacity</span><span class="p">;</span>
-<a id="__codelineno-25-36" name="__codelineno-25-36" href="#__codelineno-25-36"></a><span class="w">        </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-25-36" name="__codelineno-25-36" href="#__codelineno-25-36"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-25-37" name="__codelineno-25-37" href="#__codelineno-25-37"></a><span class="w">        </span><span class="k">this</span><span class="p">.</span><span class="nx">nums</span><span class="p">[</span><span class="nx">rear</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">num</span><span class="p">;</span>
 <a id="__codelineno-25-38" name="__codelineno-25-38" href="#__codelineno-25-38"></a><span class="w">        </span><span class="k">this</span><span class="p">.</span><span class="nx">queSize</span><span class="o">++</span><span class="p">;</span>
 <a id="__codelineno-25-39" name="__codelineno-25-39" href="#__codelineno-25-39"></a><span class="w">    </span><span class="p">}</span>
@@ -3024,7 +3024,7 @@
 <a id="__codelineno-27-40" name="__codelineno-27-40" href="#__codelineno-27-40"></a><span class="w">        </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-27-41" name="__codelineno-27-41" href="#__codelineno-27-41"></a><span class="w">        </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-27-42" name="__codelineno-27-42" href="#__codelineno-27-42"></a><span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">capacity</span><span class="p">();</span>
-<a id="__codelineno-27-43" name="__codelineno-27-43" href="#__codelineno-27-43"></a><span class="w">        </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-27-43" name="__codelineno-27-43" href="#__codelineno-27-43"></a><span class="w">        </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-27-44" name="__codelineno-27-44" href="#__codelineno-27-44"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">rear</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-27-45" name="__codelineno-27-45" href="#__codelineno-27-45"></a><span class="w">        </span><span class="n">queSize</span><span class="o">++</span><span class="p">;</span>
 <a id="__codelineno-27-46" name="__codelineno-27-46" href="#__codelineno-27-46"></a><span class="w">    </span><span class="p">}</span>
@@ -3097,7 +3097,7 @@
 <a id="__codelineno-28-33" name="__codelineno-28-33" href="#__codelineno-28-33"></a>        <span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-28-34" name="__codelineno-28-34" href="#__codelineno-28-34"></a>        <span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-28-35" name="__codelineno-28-35" href="#__codelineno-28-35"></a>        <span class="kd">let</span> <span class="nv">rear</span> <span class="p">=</span> <span class="p">(</span><span class="n">front</span> <span class="o">+</span> <span class="n">queSize</span><span class="p">)</span> <span class="o">%</span> <span class="n">capacity</span><span class="p">()</span>
-<a id="__codelineno-28-36" name="__codelineno-28-36" href="#__codelineno-28-36"></a>        <span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-28-36" name="__codelineno-28-36" href="#__codelineno-28-36"></a>        <span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-28-37" name="__codelineno-28-37" href="#__codelineno-28-37"></a>        <span class="n">nums</span><span class="p">[</span><span class="n">rear</span><span class="p">]</span> <span class="p">=</span> <span class="n">num</span>
 <a id="__codelineno-28-38" name="__codelineno-28-38" href="#__codelineno-28-38"></a>        <span class="n">queSize</span> <span class="o">+=</span> <span class="mi">1</span>
 <a id="__codelineno-28-39" name="__codelineno-28-39" href="#__codelineno-28-39"></a>    <span class="p">}</span>
@@ -3186,7 +3186,7 @@
 <a id="__codelineno-29-51" name="__codelineno-29-51" href="#__codelineno-29-51"></a><span class="w">            </span><span class="c1">// 计算尾指针，指向队尾索引 + 1</span>
 <a id="__codelineno-29-52" name="__codelineno-29-52" href="#__codelineno-29-52"></a><span class="w">            </span><span class="c1">// 通过取余操作，实现 rear 越过数组尾部后回到头部</span>
 <a id="__codelineno-29-53" name="__codelineno-29-53" href="#__codelineno-29-53"></a><span class="w">            </span><span class="kr">var</span><span class="w"> </span><span class="n">rear</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">self</span><span class="p">.</span><span class="n">front</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">self</span><span class="p">.</span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">self</span><span class="p">.</span><span class="n">capacity</span><span class="p">();</span>
-<a id="__codelineno-29-54" name="__codelineno-29-54" href="#__codelineno-29-54"></a><span class="w">            </span><span class="c1">// 尾结点后添加 num</span>
+<a id="__codelineno-29-54" name="__codelineno-29-54" href="#__codelineno-29-54"></a><span class="w">            </span><span class="c1">// 将 num 添加至队尾</span>
 <a id="__codelineno-29-55" name="__codelineno-29-55" href="#__codelineno-29-55"></a><span class="w">            </span><span class="n">self</span><span class="p">.</span><span class="n">nums</span><span class="p">[</span><span class="n">rear</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-29-56" name="__codelineno-29-56" href="#__codelineno-29-56"></a><span class="w">            </span><span class="n">self</span><span class="p">.</span><span class="n">queSize</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
 <a id="__codelineno-29-57" name="__codelineno-29-57" href="#__codelineno-29-57"></a><span class="w">        </span><span class="p">}</span><span class="w"> </span>
diff --git a/search/search_index.json b/search/search_index.json
index 544a89893..bb83aef3a 100644
--- a/search/search_index.json
+++ b/search/search_index.json
@@ -1 +1 @@
-{"config":{"lang":["ja"],"separator":"[\\s\\-\uff0c\u3002]+","pipeline":["stemmer"]},"docs":[{"location":"","title":"Home","text":"<p>  \u300a Hello\uff0c\u7b97\u6cd5 \u300b  <p> \u52a8\u753b\u56fe\u89e3\u3001\u80fd\u8fd0\u884c\u3001\u53ef\u63d0\u95ee\u7684\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5feb\u901f\u5165\u95e8\u6559\u7a0b </p> <p> </p> @Krahets </p>  \u300c\u5168\u4e66\u52a8\u753b\u56fe\u89e3\u300d  <p> \u5185\u5bb9\u6e05\u6670\u6613\u61c2\u3001\u5b66\u4e60\u66f2\u7ebf\u5e73\u6ed1\u7535\u8111\u3001\u5e73\u677f\u3001\u624b\u673a\u5168\u7ec8\u7aef\u9605\u8bfb </p> <p></p> <p><p> \"A picture is worth a thousand words.\" </p> <p> \u201c\u4e00\u56fe\u80dc\u5343\u8a00\u201d </p></p>  \u300c\u4ee3\u7801\u4e00\u952e\u8fd0\u884c\u300d  <p> \u63d0\u4f9b\u5404\u4e2a\u7b97\u6cd5\u4e0e\u6570\u636e\u7ed3\u6784\u7684\u7b80\u6d01\u5b9e\u73b0\u4e0e\u6d4b\u8bd5\u6837\u4f8b\uff0c\u7686\u53ef\u76f4\u63a5\u8fd0\u884c\u652f\u6301 Java, C++, Python, Go, JS, TS, C#, Swift, Zig \u7b49\u8bed\u8a00 </p> <p></p> <p><p> \"Talk is cheap. Show me the code.\" </p> <p> \u201c\u5c11\u5439\u725b\uff0c\u770b\u4ee3\u7801\u201d </p></p>  \u300c\u53ef\u8ba8\u8bba\u4e0e\u63d0\u95ee\u300d  <p> \u9f13\u52b1\u5c0f\u4f19\u4f34\u4eec\u4e92\u5e2e\u4e92\u52a9\u3001\u5171\u540c\u6210\u957f\u63d0\u95ee\u4e0e\u8bc4\u8bba\u4e00\u822c\u80fd\u5728\u4e24\u65e5\u5185\u5f97\u5230\u56de\u590d </p> <p></p> <p><p> \u201c\u8ffd\u98ce\u8d76\u6708\u83ab\u505c\u7559\uff0c\u5e73\u829c\u5c3d\u5904\u662f\u6625\u5c71\u201d </p> <p> \u4e00\u8d77\u52a0\u6cb9\uff01 </p></p>  \u63a8\u8350\u8bed  <p>Quote</p> <p>\u201c\u5982\u679c\u6211\u5f53\u5e74\u5b66\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u65f6\u5019\u6709\u300aHello \u7b97\u6cd5\u300b\uff0c\u5b66\u8d77\u6765\u5e94\u8be5\u4f1a\u7b80\u5355 10 \u500d\uff01\u201d</p> <p>\u2014\u2014 \u674e\u6c90\uff0c\u4e9a\u9a6c\u900a\u8d44\u6df1\u9996\u5e2d\u79d1\u5b66\u5bb6</p> <p>Quote</p> <p>\u201c\u4e00\u672c\u901a\u4fd7\u6613\u61c2\u7684\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5165\u95e8\u4e66\uff0c\u5f15\u5bfc\u8bfb\u8005\u624b\u8111\u5e76\u7528\u5730\u5b66\u4e60\uff0c\u5f3a\u70c8\u63a8\u8350\u7b97\u6cd5\u521d\u5b66\u8005\u9605\u8bfb\u3002\u201d</p> <p>\u2014\u2014 \u9093\u4fca\u8f89\uff0c\u6e05\u534e\u5927\u5b66\u8ba1\u7b97\u673a\u7cfb\u6559\u6388</p>  \u53c2\u4e0e\u5199\u4f5c  <p>\u611f\u8c22\u672c\u5f00\u6e90\u4e66\u7684\u6bcf\u4e00\u4f4d\u64b0\u7a3f\u4eba\uff0c\u662f\u4ed6\u4eec\u7684\u65e0\u79c1\u5949\u732e\u8ba9\u8fd9\u672c\u4e66\u53d8\u5f97\u66f4\u597d\uff0c\u4ed6\u4eec\u662f\uff08\u987a\u5e8f\u7531 contrib.rocks \u81ea\u52a8\u751f\u6210\uff09\uff1a</p> <p> </p> <p>\u672c\u5f00\u6e90\u9879\u76ee\u7684\u7ef4\u62a4\u4e0e\u66f4\u65b0\u79bb\u4e0d\u5f00\u5404\u4f4d Reviewers \u7684\u8f9b\u52e4\u4ed8\u51fa\uff0c\u611f\u8c22\u4ed6\u4eec\uff08\u6309\u9996\u5b57\u6bcd\u987a\u5e8f\uff09\uff1a</p> justin-tseJS / TS krahetsJava / Python nuomi1Swift ReanonGo / C sjinzhRust / Zig"},{"location":"chapter_array_and_linkedlist/array/","title":"4.1. \u6570\u7ec4","text":"<p>\u300c\u6570\u7ec4 Array\u300d\u662f\u4e00\u79cd\u5c06 \u76f8\u540c\u7c7b\u578b\u5143\u7d20 \u5b58\u50a8\u5728 \u8fde\u7eed\u5185\u5b58\u7a7a\u95f4 \u7684\u6570\u636e\u7ed3\u6784\uff0c\u5c06\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u4f4d\u7f6e\u79f0\u4e3a\u5143\u7d20\u7684\u300c\u7d22\u5f15 Index\u300d\u3002</p> <p></p> <p> Fig. \u6570\u7ec4\u5b9a\u4e49\u4e0e\u5b58\u50a8\u65b9\u5f0f </p> <p>Note</p> <p>\u89c2\u5bdf\u4e0a\u56fe\uff0c\u6211\u4eec\u53d1\u73b0 \u6570\u7ec4\u9996\u5143\u7d20\u7684\u7d22\u5f15\u4e3a \\(0\\) \u3002\u4f60\u53ef\u80fd\u4f1a\u60f3\uff0c\u8fd9\u5e76\u4e0d\u7b26\u5408\u65e5\u5e38\u4e60\u60ef\uff0c\u9996\u4e2a\u5143\u7d20\u7684\u7d22\u5f15\u4e3a\u4ec0\u4e48\u4e0d\u662f \\(1\\) \u5462\uff0c\u8fd9\u4e0d\u662f\u66f4\u52a0\u81ea\u7136\u5417\uff1f\u6211\u8ba4\u540c\u4f60\u7684\u60f3\u6cd5\uff0c\u4f46\u8bf7\u5148\u8bb0\u4f4f\u8fd9\u4e2a\u8bbe\u5b9a\uff0c\u540e\u9762\u8bb2\u5185\u5b58\u5730\u5740\u8ba1\u7b97\u65f6\uff0c\u6211\u4f1a\u5c1d\u8bd5\u89e3\u7b54\u8fd9\u4e2a\u95ee\u9898\u3002</p> <p>\u6570\u7ec4\u521d\u59cb\u5316\u3002\u4e00\u822c\u4f1a\u7528\u5230\u65e0\u521d\u59cb\u503c\u3001\u7ed9\u5b9a\u521d\u59cb\u503c\u4e24\u79cd\u5199\u6cd5\uff0c\u53ef\u6839\u636e\u9700\u6c42\u9009\u53d6\u3002\u5728\u4e0d\u7ed9\u5b9a\u521d\u59cb\u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u4e00\u822c\u6240\u6709\u5143\u7d20\u4f1a\u88ab\u521d\u59cb\u5316\u4e3a\u9ed8\u8ba4\u503c \\(0\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nint[] arr = new int[5]; // { 0, 0, 0, 0, 0 }\nint[] nums = { 1, 3, 2, 5, 4 };\n</code></pre> array.cpp<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\n// \u5b58\u50a8\u5728\u6808\u4e0a\nint arr[5];\nint nums[5] { 1, 3, 2, 5, 4 };\n// \u5b58\u50a8\u5728\u5806\u4e0a\nint* arr1 = new int[5];\nint* nums1 = new int[5] { 1, 3, 2, 5, 4 };\n</code></pre> array.py<pre><code>\"\"\" \u521d\u59cb\u5316\u6570\u7ec4 \"\"\"\narr = [0] * 5  # [ 0, 0, 0, 0, 0 ]\nnums = [1, 3, 2, 5, 4]  \n</code></pre> array.go<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nvar arr [5]int\n// \u5728 Go \u4e2d\uff0c\u6307\u5b9a\u957f\u5ea6\u65f6\uff08[5]int\uff09\u4e3a\u6570\u7ec4\uff0c\u4e0d\u6307\u5b9a\u957f\u5ea6\u65f6\uff08[]int\uff09\u4e3a\u5207\u7247\n// \u7531\u4e8e Go \u7684\u6570\u7ec4\u88ab\u8bbe\u8ba1\u4e3a\u5728\u7f16\u8bd1\u671f\u786e\u5b9a\u957f\u5ea6\uff0c\u56e0\u6b64\u53ea\u80fd\u4f7f\u7528\u5e38\u91cf\u6765\u6307\u5b9a\u957f\u5ea6\n// \u4e3a\u4e86\u65b9\u4fbf\u5b9e\u73b0\u6269\u5bb9 extend() \u65b9\u6cd5\uff0c\u4ee5\u4e0b\u5c06\u5207\u7247\uff08Slice\uff09\u770b\u4f5c\u6570\u7ec4\uff08Array\uff09\nnums := []int{1, 3, 2, 5, 4}\n</code></pre> array.js<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nvar arr = new Array(5).fill(0);\nvar nums = [1, 3, 2, 5, 4];\n</code></pre> array.ts<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nlet arr: number[] = new Array(5).fill(0);\nlet nums: number[] = [1, 3, 2, 5, 4];\n</code></pre> array.c<pre><code>int arr[5] = { 0 }; // { 0, 0, 0, 0, 0 }\nint nums[5] = { 1, 3, 2, 5, 4 };\n</code></pre> array.cs<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nint[] arr = new int[5]; // { 0, 0, 0, 0, 0 }\nint[] nums = { 1, 3, 2, 5, 4 };\n</code></pre> array.swift<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nlet arr = Array(repeating: 0, count: 5) // [0, 0, 0, 0, 0]\nlet nums = [1, 3, 2, 5, 4]\n</code></pre> array.zig<pre><code>// \u521d\u59cb\u5316\u6570\u7ec4\nvar arr = [_]i32{0} ** 5; // { 0, 0, 0, 0, 0 }\nvar nums = [_]i32{ 1, 3, 2, 5, 4 };\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#411","title":"4.1.1. \u6570\u7ec4\u4f18\u70b9","text":"<p>\u5728\u6570\u7ec4\u4e2d\u8bbf\u95ee\u5143\u7d20\u975e\u5e38\u9ad8\u6548\u3002\u8fd9\u662f\u56e0\u4e3a\u5728\u6570\u7ec4\u4e2d\uff0c\u8ba1\u7b97\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\u975e\u5e38\u5bb9\u6613\u3002\u7ed9\u5b9a\u6570\u7ec4\u9996\u4e2a\u5143\u7d20\u7684\u5730\u5740\u3001\u548c\u4e00\u4e2a\u5143\u7d20\u7684\u7d22\u5f15\uff0c\u5229\u7528\u4ee5\u4e0b\u516c\u5f0f\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u5f97\u5230\u8be5\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\uff0c\u4ece\u800c\u76f4\u63a5\u8bbf\u95ee\u6b64\u5143\u7d20\u3002</p> <p></p> <p> Fig. \u6570\u7ec4\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\u8ba1\u7b97 </p> <pre><code>// \u5143\u7d20\u5185\u5b58\u5730\u5740 = \u6570\u7ec4\u5185\u5b58\u5730\u5740 + \u5143\u7d20\u957f\u5ea6 * \u5143\u7d20\u7d22\u5f15\nelementAddr = firtstElementAddr + elementLength * elementIndex\n</code></pre> <p>\u4e3a\u4ec0\u4e48\u6570\u7ec4\u5143\u7d20\u7d22\u5f15\u4ece 0 \u5f00\u59cb\u7f16\u53f7\uff1f \u6839\u636e\u5730\u5740\u8ba1\u7b97\u516c\u5f0f\uff0c\u7d22\u5f15\u672c\u8d28\u4e0a\u8868\u793a\u7684\u662f\u5185\u5b58\u5730\u5740\u504f\u79fb\u91cf\uff0c\u9996\u4e2a\u5143\u7d20\u7684\u5730\u5740\u504f\u79fb\u91cf\u662f \\(0\\) \uff0c\u90a3\u4e48\u7d22\u5f15\u662f \\(0\\) \u4e5f\u5c31\u5f88\u81ea\u7136\u4e86\u3002</p> <p>\u8bbf\u95ee\u5143\u7d20\u7684\u9ad8\u6548\u6027\u5e26\u6765\u4e86\u8bb8\u591a\u4fbf\u5229\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u5185\u968f\u673a\u83b7\u53d6\u4e00\u4e2a\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int[] nums) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = ThreadLocalRandom.current().\nnextInt(0, nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.cpp<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int* nums, int size) {\n// \u5728\u533a\u95f4 [0, size) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = rand() % size;\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.py<pre><code>\"\"\" \u968f\u673a\u8bbf\u95ee\u5143\u7d20 \"\"\"\ndef random_access(nums):\n# \u5728\u533a\u95f4 [0, len(nums)-1] \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nrandom_index = random.randint(0, len(nums) - 1)\n# \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nrandom_num = nums[random_index]\nreturn random_num\n</code></pre> array.go<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunc randomAccess(nums []int) (randomNum int) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nrandomIndex := rand.Intn(len(nums))\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nrandomNum = nums[randomIndex]\nreturn\n}\n</code></pre> array.js<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunction randomAccess(nums) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nconst random_index = Math.floor(Math.random() * nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nconst random_num = nums[random_index];\nreturn random_num;\n}\n</code></pre> array.ts<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunction randomAccess(nums: number[]): number {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nconst random_index = Math.floor(Math.random() * nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nconst random_num = nums[random_index];\nreturn random_num;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{randomAccess}\n</code></pre> array.cs<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int[] nums)\n{\nRandom random = new();\n// \u5728\u533a\u95f4 [0, nums.Length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = random.Next(nums.Length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.swift<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunc randomAccess(nums: [Int]) -&gt; Int {\n// \u5728\u533a\u95f4 [0, nums.count) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nlet randomIndex = nums.indices.randomElement()!\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nlet randomNum = nums[randomIndex]\nreturn randomNum\n}\n</code></pre> array.zig<pre><code>// \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20\nfn randomAccess(nums: []i32) i32 {\n// \u5728\u533a\u95f4 [0, nums.len) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6574\u6570\nvar randomIndex = std.crypto.random.intRangeLessThan(usize, 0, nums.len);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nvar randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#412","title":"4.1.2. \u6570\u7ec4\u7f3a\u70b9","text":"<p>\u6570\u7ec4\u5728\u521d\u59cb\u5316\u540e\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u7531\u4e8e\u7cfb\u7edf\u65e0\u6cd5\u4fdd\u8bc1\u6570\u7ec4\u4e4b\u540e\u7684\u5185\u5b58\u7a7a\u95f4\u662f\u53ef\u7528\u7684\uff0c\u56e0\u6b64\u6570\u7ec4\u957f\u5ea6\u65e0\u6cd5\u6269\u5c55\u3002\u800c\u82e5\u5e0c\u671b\u6269\u5bb9\u6570\u7ec4\uff0c\u5219\u9700\u65b0\u5efa\u4e00\u4e2a\u6570\u7ec4\uff0c\u7136\u540e\u628a\u539f\u6570\u7ec4\u5143\u7d20\u4f9d\u6b21\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\uff0c\u5728\u6570\u7ec4\u5f88\u5927\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd9\u662f\u975e\u5e38\u8017\u65f6\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint[] extend(int[] nums, int enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint[] res = new int[nums.length + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.cpp<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint* extend(int* nums, int size, int enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint* res = new int[size + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; size; i++) {\nres[i] = nums[i];\n}\n// \u91ca\u653e\u5185\u5b58\ndelete[] nums;\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.py<pre><code>\"\"\" \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 \"\"\"\n# \u8bf7\u6ce8\u610f\uff0cPython \u7684 list \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n# \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 list \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\ndef extend(nums, enlarge):\n# \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nres = [0] * (len(nums) + enlarge)\n# \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i in range(len(nums)):\nres[i] = nums[i]\n# \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n</code></pre> array.go<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nfunc extend(nums []int, enlarge int) []int {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nres := make([]int, len(nums)+enlarge)\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i, num := range nums {\nres[i] = num\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n}\n</code></pre> array.js<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\n// \u8bf7\u6ce8\u610f\uff0cJavaScript \u7684 Array \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n// \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 Array \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\nfunction extend(nums, enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nconst res = new Array(nums.length + enlarge).fill(0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.ts<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\n// \u8bf7\u6ce8\u610f\uff0cTypeScript \u7684 Array \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n// \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 Array \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\nfunction extend(nums: number[], enlarge: number): number[] {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nconst res = new Array(nums.length + enlarge).fill(0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{extend}\n</code></pre> array.cs<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint[] extend(int[] nums, int enlarge)\n{\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint[] res = new int[nums.Length + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.swift<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nfunc extend(nums: [Int], enlarge: Int) -&gt; [Int] {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nvar res = Array(repeating: 0, count: nums.count + enlarge)\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i in nums.indices {\nres[i] = nums[i]\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n}\n</code></pre> array.zig<pre><code>// \u6269\u5c55\u6570\u7ec4\u957f\u5ea6\nfn extend(mem_allocator: std.mem.Allocator, nums: []i32, enlarge: usize) ![]i32 {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nvar res = try mem_allocator.alloc(i32, nums.len + enlarge);\nstd.mem.set(i32, res, 0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nstd.mem.copy(i32, res, nums);\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> <p>\u6570\u7ec4\u4e2d\u63d2\u5165\u6216\u5220\u9664\u5143\u7d20\u6548\u7387\u4f4e\u4e0b\u3002\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5728\u6570\u7ec4\u4e2d\u95f4\u67d0\u4f4d\u7f6e\u63d2\u5165\u4e00\u4e2a\u5143\u7d20\uff0c\u7531\u4e8e\u6570\u7ec4\u5143\u7d20\u5728\u5185\u5b58\u4e2d\u662f\u201c\u7d27\u6328\u7740\u7684\u201d\uff0c\u5b83\u4eec\u4e4b\u95f4\u6ca1\u6709\u7a7a\u95f4\u518d\u653e\u4efb\u4f55\u6570\u636e\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4e0d\u5f97\u4e0d\u5c06\u6b64\u7d22\u5f15\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u7136\u540e\u518d\u628a\u5143\u7d20\u8d4b\u503c\u7ed9\u8be5\u7d22\u5f15\u3002\u5220\u9664\u5143\u7d20\u4e5f\u662f\u7c7b\u4f3c\uff0c\u9700\u8981\u628a\u6b64\u7d22\u5f15\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\u3002\u603b\u4f53\u770b\u6709\u4ee5\u4e0b\u7f3a\u70b9\uff1a</p> <ul> <li>\u65f6\u95f4\u590d\u6742\u5ea6\u9ad8\uff1a\u6570\u7ec4\u7684\u63d2\u5165\u548c\u5220\u9664\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3a \\(O(N)\\) \uff0c\u5176\u4e2d \\(N\\) \u4e3a\u6570\u7ec4\u957f\u5ea6\u3002</li> <li>\u4e22\u5931\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u7684\u957f\u5ea6\u4e0d\u53ef\u53d8\uff0c\u56e0\u6b64\u5728\u63d2\u5165\u5143\u7d20\u540e\uff0c\u8d85\u51fa\u6570\u7ec4\u957f\u5ea6\u8303\u56f4\u7684\u5143\u7d20\u4f1a\u88ab\u4e22\u5931\u3002</li> <li>\u5185\u5b58\u6d6a\u8d39\uff1a\u6211\u4eec\u4e00\u822c\u4f1a\u521d\u59cb\u5316\u4e00\u4e2a\u6bd4\u8f83\u957f\u7684\u6570\u7ec4\uff0c\u53ea\u7528\u524d\u9762\u4e00\u90e8\u5206\uff0c\u8fd9\u6837\u5728\u63d2\u5165\u6570\u636e\u65f6\uff0c\u4e22\u5931\u7684\u672b\u5c3e\u5143\u7d20\u90fd\u662f\u6211\u4eec\u4e0d\u5173\u5fc3\u7684\uff0c\u4f46\u8fd9\u6837\u505a\u540c\u65f6\u4e5f\u4f1a\u9020\u6210\u5185\u5b58\u7a7a\u95f4\u7684\u6d6a\u8d39\u3002</li> </ul> <p></p> <p> Fig. \u5728\u6570\u7ec4\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int[] nums, int num, int index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int[] nums, int index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.cpp<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int* nums, int size, int num, int index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = size - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int* nums, int size, int index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; size - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.py<pre><code>\"\"\" \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num \"\"\"\ndef insert(nums, num, index):\n# \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i in range(len(nums) - 1, index, -1):\nnums[i] = nums[i - 1]\n# \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n\"\"\" \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 \"\"\"\ndef remove(nums, index):\n# \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i in range(index, len(nums) - 1):\nnums[i] = nums[i + 1]\n</code></pre> array.go<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunc insert(nums []int, num int, index int) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i := len(nums) - 1; i &gt; index; i-- {\nnums[i] = nums[i-1]\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunc remove(nums []int, index int) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i := index; i &lt; len(nums)-1; i++ {\nnums[i] = nums[i+1]\n}\n}\n</code></pre> array.js<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunction insert(nums, num, index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunction remove(nums, index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.ts<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunction insert(nums: number[], num: number, index: number): void {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunction remove(nums: number[], index: number): void {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{insert}\n[class]{}-[func]{removeItem}\n</code></pre> array.cs<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int[] nums, int num, int index)\n{\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = nums.Length - 1; i &gt; index; i--)\n{\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int[] nums, int index)\n{\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; nums.Length - 1; i++)\n{\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.swift<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunc insert(nums: inout [Int], num: Int, index: Int) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i in sequence(first: nums.count - 1, next: { $0 &gt; index + 1 ? $0 - 1 : nil }) {\nnums[i] = nums[i - 1]\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunc remove(nums: inout [Int], index: Int) {\nlet count = nums.count\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i in sequence(first: index, next: { $0 &lt; count - 1 - 1 ? $0 + 1 : nil }) {\nnums[i] = nums[i + 1]\n}\n}\n</code></pre> array.zig<pre><code>// \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num\nfn insert(nums: []i32, num: i32, index: usize) void {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nvar i = nums.len - 1;\nwhile (i &gt; index) : (i -= 1) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n// \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20\nfn remove(nums: []i32, index: usize) void {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nvar i = index;\nwhile (i &lt; nums.len - 1) : (i += 1) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#413","title":"4.1.3. \u6570\u7ec4\u5e38\u7528\u64cd\u4f5c","text":"<p>\u6570\u7ec4\u904d\u5386\u3002\u4ee5\u4e0b\u4ecb\u7ecd\u4e24\u79cd\u5e38\u7528\u7684\u904d\u5386\u65b9\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int[] nums) {\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (int num : nums) {\ncount++;\n}\n}\n</code></pre> array.cpp<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int* nums, int size) {\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; size; i++) {\ncount++;\n}\n}\n</code></pre> array.py<pre><code>\"\"\" \u904d\u5386\u6570\u7ec4 \"\"\"\ndef traverse(nums):\ncount = 0\n# \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor i in range(len(nums)):\ncount += 1\n# \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor num in nums:\ncount += 1\n</code></pre> array.go<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunc traverse(nums []int) {\ncount := 0\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor i := 0; i &lt; len(nums); i++ {\ncount++\n}\ncount = 0\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor range nums {\ncount++\n}\n}\n</code></pre> array.js<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunction traverse(nums) {\nlet count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (let num of nums) {\ncount += 1;\n}\n}\n</code></pre> array.ts<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunction traverse(nums: number[]): void {\nlet count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (let num of nums) {\ncount += 1;\n}\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{traverse}\n</code></pre> array.cs<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int[] nums)\n{\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nforeach (int num in nums)\n{\ncount++;\n}\n}\n</code></pre> array.swift<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunc traverse(nums: [Int]) {\nvar count = 0\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor _ in nums.indices {\ncount += 1\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor _ in nums {\ncount += 1\n}\n}\n</code></pre> array.zig<pre><code>// \u904d\u5386\u6570\u7ec4\nfn traverse(nums: []i32) void {\nvar count: i32 = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nvar i: i32 = 0;\nwhile (i &lt; nums.len) : (i += 1) {\ncount += 1;\n}\ncount = 0;\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (nums) |_| {\ncount += 1;\n}\n}\n</code></pre> <p>\u6570\u7ec4\u67e5\u627e\u3002\u901a\u8fc7\u904d\u5386\u6570\u7ec4\uff0c\u67e5\u627e\u6570\u7ec4\u5185\u7684\u6307\u5b9a\u5143\u7d20\uff0c\u5e76\u8f93\u51fa\u5bf9\u5e94\u7d22\u5f15\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int[] nums, int target) {\nfor (int i = 0; i &lt; nums.length; i++) {\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.cpp<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int* nums, int size, int target) {\nfor (int i = 0; i &lt; size; i++) {\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.py<pre><code>\"\"\" \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 \"\"\"\ndef find(nums, target):\nfor i in range(len(nums)):\nif nums[i] == target:\nreturn i\nreturn -1\n</code></pre> array.go<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunc find(nums []int, target int) (index int) {\nindex = -1\nfor i := 0; i &lt; len(nums); i++ {\nif nums[i] == target {\nindex = i\nbreak\n}\n}\nreturn\n}\n</code></pre> array.js<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunction find(nums, target) {\nfor (let i = 0; i &lt; nums.length; i++) {\nif (nums[i] == target) return i;\n}\nreturn -1;\n}\n</code></pre> array.ts<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunction find(nums: number[], target: number): number {\nfor (let i = 0; i &lt; nums.length; i++) {\nif (nums[i] === target) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{find}\n</code></pre> array.cs<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int[] nums, int target)\n{\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.swift<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunc find(nums: [Int], target: Int) -&gt; Int {\nfor i in nums.indices {\nif nums[i] == target {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> array.zig<pre><code>// \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20\nfn find(nums: []i32, target: i32) i32 {\nfor (nums) |num, i| {\nif (num == target) return @intCast(i32, i);\n}\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#414","title":"4.1.4. \u6570\u7ec4\u5178\u578b\u5e94\u7528","text":"<p>\u968f\u673a\u8bbf\u95ee\u3002\u5982\u679c\u6211\u4eec\u60f3\u8981\u968f\u673a\u62bd\u53d6\u4e00\u4e9b\u6837\u672c\uff0c\u90a3\u4e48\u53ef\u4ee5\u7528\u6570\u7ec4\u5b58\u50a8\uff0c\u5e76\u751f\u6210\u4e00\u4e2a\u968f\u673a\u5e8f\u5217\uff0c\u6839\u636e\u7d22\u5f15\u5b9e\u73b0\u6837\u672c\u7684\u968f\u673a\u62bd\u53d6\u3002</p> <p>\u4e8c\u5206\u67e5\u627e\u3002\u4f8b\u5982\u524d\u6587\u67e5\u5b57\u5178\u7684\u4f8b\u5b50\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5b57\u5178\u4e2d\u7684\u6240\u6709\u5b57\u6309\u7167\u62fc\u97f3\u987a\u5e8f\u5b58\u50a8\u5728\u6570\u7ec4\u4e2d\uff0c\u7136\u540e\u4f7f\u7528\u4e0e\u65e5\u5e38\u67e5\u7eb8\u8d28\u5b57\u5178\u76f8\u540c\u7684\u201c\u7ffb\u5f00\u4e2d\u95f4\uff0c\u6392\u9664\u4e00\u534a\u201d\u7684\u65b9\u5f0f\uff0c\u6765\u5b9e\u73b0\u4e00\u4e2a\u67e5\u7535\u5b50\u5b57\u5178\u7684\u7b97\u6cd5\u3002</p> <p>\u6df1\u5ea6\u5b66\u4e60\u3002\u795e\u7ecf\u7f51\u7edc\u4e2d\u5927\u91cf\u4f7f\u7528\u4e86\u5411\u91cf\u3001\u77e9\u9635\u3001\u5f20\u91cf\u4e4b\u95f4\u7684\u7ebf\u6027\u4ee3\u6570\u8fd0\u7b97\uff0c\u8fd9\u4e9b\u6570\u636e\u90fd\u662f\u4ee5\u6570\u7ec4\u7684\u5f62\u5f0f\u6784\u5efa\u7684\u3002\u6570\u7ec4\u662f\u795e\u7ecf\u7f51\u7edc\u7f16\u7a0b\u4e2d\u6700\u5e38\u4f7f\u7528\u7684\u6570\u636e\u7ed3\u6784\u3002</p>"},{"location":"chapter_array_and_linkedlist/linked_list/","title":"4.2. \u94fe\u8868","text":"<p>\u5f15\u8a00</p> <p>\u5185\u5b58\u7a7a\u95f4\u662f\u6240\u6709\u7a0b\u5e8f\u7684\u516c\u5171\u8d44\u6e90\uff0c\u6392\u9664\u5df2\u5360\u7528\u7684\u5185\u5b58\uff0c\u7a7a\u95f2\u5185\u5b58\u5f80\u5f80\u662f\u6563\u843d\u5728\u5185\u5b58\u5404\u5904\u7684\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5b58\u50a8\u6570\u7ec4\u9700\u8981\u5185\u5b58\u7a7a\u95f4\u8fde\u7eed\uff0c\u5f53\u6211\u4eec\u9700\u8981\u7533\u8bf7\u4e00\u4e2a\u5f88\u5927\u7684\u6570\u7ec4\u65f6\uff0c\u7cfb\u7edf\u4e0d\u4e00\u5b9a\u5b58\u5728\u8fd9\u4e48\u5927\u7684\u8fde\u7eed\u5185\u5b58\u7a7a\u95f4\u3002\u800c\u94fe\u8868\u5219\u66f4\u52a0\u7075\u6d3b\uff0c\u4e0d\u9700\u8981\u5185\u5b58\u662f\u8fde\u7eed\u7684\uff0c\u53ea\u8981\u5269\u4f59\u5185\u5b58\u7a7a\u95f4\u5927\u5c0f\u591f\u7528\u5373\u53ef\u3002</p> <p>\u300c\u94fe\u8868 Linked List\u300d\u662f\u4e00\u79cd\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20\u90fd\u662f\u5355\u72ec\u7684\u5bf9\u8c61\uff0c\u5404\u4e2a\u5143\u7d20\uff08\u4e00\u822c\u79f0\u4e3a\u7ed3\u70b9\uff09\u4e4b\u95f4\u901a\u8fc7\u6307\u9488\u8fde\u63a5\u3002\u7531\u4e8e\u7ed3\u70b9\u4e2d\u8bb0\u5f55\u4e86\u8fde\u63a5\u5173\u7cfb\uff0c\u56e0\u6b64\u94fe\u8868\u7684\u5b58\u50a8\u65b9\u5f0f\u76f8\u6bd4\u4e8e\u6570\u7ec4\u66f4\u52a0\u7075\u6d3b\uff0c\u7cfb\u7edf\u4e0d\u5fc5\u4fdd\u8bc1\u5185\u5b58\u5730\u5740\u7684\u8fde\u7eed\u6027\u3002</p> <p>\u94fe\u8868\u7684\u300c\u7ed3\u70b9 Node\u300d\u5305\u542b\u4e24\u9879\u6570\u636e\uff0c\u4e00\u662f\u7ed3\u70b9\u300c\u503c Value\u300d\uff0c\u4e8c\u662f\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u300c\u6307\u9488 Pointer\u300d\uff08\u6216\u79f0\u300c\u5f15\u7528 Reference\u300d\uff09\u3002</p> <p></p> <p> Fig. \u94fe\u8868\u5b9a\u4e49\u4e0e\u5b58\u50a8\u65b9\u5f0f </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) { val = x; }  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct ListNode {\nint val;         // \u7ed3\u70b9\u503c\nListNode *next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) : val(x), next(nullptr) {}  // \u6784\u9020\u51fd\u6570\n};\n</code></pre> <pre><code>\"\"\" \u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\" \nclass ListNode:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\ntype ListNode struct {\nVal  int       // \u7ed3\u70b9\u503c\nNext *ListNode // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n// NewListNode \u6784\u9020\u51fd\u6570\uff0c\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u94fe\u8868\nfunc NewListNode(val int) *ListNode {\nreturn &amp;ListNode{\nVal:  val,\nNext: nil,\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nclass ListNode {\nval;\nnext;\nconstructor(val, next) {\nthis.val = (val === undefined ? 0 : val);       // \u7ed3\u70b9\u503c\nthis.next = (next === undefined ? null : next); // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nclass ListNode {\nval: number;\nnext: ListNode | null;\nconstructor(val?: number, next?: ListNode | null) {\nthis.val = val === undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next === undefined ? null : next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode\n{\nint val;         // \u7ed3\u70b9\u503c\nListNode next;   // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\nListNode(int x) =&gt; val = x;  //\u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar next: ListNode? // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\ninit(x: Int) { // \u6784\u9020\u51fd\u6570\nval = x\n}\n}\n</code></pre> <pre><code>// \u94fe\u8868\u7ed3\u70b9\u7c7b\npub fn ListNode(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nval: T = 0, // \u7ed3\u70b9\u503c\nnext: ?*Self = null, // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n// \u6784\u9020\u51fd\u6570\npub fn init(self: *Self, x: i32) void {\nself.val = x;\nself.next = null;\n}\n};\n}\n</code></pre> <p>\u5c3e\u7ed3\u70b9\u6307\u5411\u4ec0\u4e48\uff1f \u6211\u4eec\u4e00\u822c\u5c06\u94fe\u8868\u7684\u6700\u540e\u4e00\u4e2a\u7ed3\u70b9\u79f0\u4e3a\u300c\u5c3e\u7ed3\u70b9\u300d\uff0c\u5176\u6307\u5411\u7684\u662f\u300c\u7a7a\u300d\uff0c\u5728 Java / C++ / Python \u4e2d\u5206\u522b\u8bb0\u4e3a <code>null</code> / <code>nullptr</code> / <code>None</code> \u3002\u5728\u4e0d\u5f15\u8d77\u6b67\u4e49\u4e0b\uff0c\u672c\u4e66\u90fd\u4f7f\u7528 <code>null</code> \u6765\u8868\u793a\u7a7a\u3002</p> <p>\u94fe\u8868\u521d\u59cb\u5316\u65b9\u6cd5\u3002\u5efa\u7acb\u94fe\u8868\u5206\u4e3a\u4e24\u6b65\uff0c\u7b2c\u4e00\u6b65\u662f\u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\u5bf9\u8c61\uff0c\u7b2c\u4e8c\u6b65\u662f\u6784\u5efa\u5f15\u7528\u6307\u5411\u5173\u7cfb\u3002\u5b8c\u6210\u540e\uff0c\u5373\u53ef\u4ee5\u4ece\u94fe\u8868\u7684\u9996\u4e2a\u7ed3\u70b9\uff08\u5373\u5934\u7ed3\u70b9\uff09\u51fa\u53d1\uff0c\u8bbf\u95ee\u5176\u4f59\u6240\u6709\u7684\u7ed3\u70b9\u3002</p> <p>Tip</p> <p>\u6211\u4eec\u901a\u5e38\u5c06\u5934\u7ed3\u70b9\u5f53\u4f5c\u94fe\u8868\u7684\u4ee3\u79f0\uff0c\u4f8b\u5982\u5934\u7ed3\u70b9 <code>head</code> \u548c\u94fe\u8868 <code>head</code> \u5b9e\u9645\u4e0a\u662f\u540c\u4e49\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode n0 = new ListNode(1);\nListNode n1 = new ListNode(3);\nListNode n2 = new ListNode(2);\nListNode n3 = new ListNode(5);\nListNode n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.cpp<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode* n0 = new ListNode(1);\nListNode* n1 = new ListNode(3);\nListNode* n2 = new ListNode(2);\nListNode* n3 = new ListNode(5);\nListNode* n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0-&gt;next = n1;\nn1-&gt;next = n2;\nn2-&gt;next = n3;\nn3-&gt;next = n4;\n</code></pre> linked_list.py<pre><code>\"\"\" \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 \"\"\"\n# \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nn0 = ListNode(1)\nn1 = ListNode(3)\nn2 = ListNode(2)\nn3 = ListNode(5)\nn4 = ListNode(4)\n# \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1\nn1.next = n2\nn2.next = n3\nn3.next = n4\n</code></pre> linked_list.go<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nn0 := NewListNode(1)\nn1 := NewListNode(3)\nn2 := NewListNode(2)\nn3 := NewListNode(5)\nn4 := NewListNode(4)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.Next = n1\nn1.Next = n2\nn2.Next = n3\nn3.Next = n4\n</code></pre> linked_list.js<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nconst n0 = new ListNode(1);\nconst n1 = new ListNode(3);\nconst n2 = new ListNode(2);\nconst n3 = new ListNode(5);\nconst n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.ts<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nconst n0 = new ListNode(1);\nconst n1 = new ListNode(3);\nconst n2 = new ListNode(2);\nconst n3 = new ListNode(5);\nconst n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.c<pre><code>\n</code></pre> linked_list.cs<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode n0 = new ListNode(1);\nListNode n1 = new ListNode(3);\nListNode n2 = new ListNode(2);\nListNode n3 = new ListNode(5);\nListNode n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.swift<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nlet n0 = ListNode(x: 1)\nlet n1 = ListNode(x: 3)\nlet n2 = ListNode(x: 2)\nlet n3 = ListNode(x: 5)\nlet n4 = ListNode(x: 4)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1\nn1.next = n2\nn2.next = n3\nn3.next = n4\n</code></pre> linked_list.zig<pre><code>// \u521d\u59cb\u5316\u94fe\u8868\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nvar n0 = inc.ListNode(i32){.val = 1};\nvar n1 = inc.ListNode(i32){.val = 3};\nvar n2 = inc.ListNode(i32){.val = 2};\nvar n3 = inc.ListNode(i32){.val = 5};\nvar n4 = inc.ListNode(i32){.val = 4};\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = &amp;n1;\nn1.next = &amp;n2;\nn2.next = &amp;n3;\nn3.next = &amp;n4;\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#421","title":"4.2.1. \u94fe\u8868\u4f18\u70b9","text":"<p>\u5728\u94fe\u8868\u4e2d\uff0c\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u7684\u64cd\u4f5c\u6548\u7387\u9ad8\u3002\u4f8b\u5982\uff0c\u5982\u679c\u60f3\u5728\u94fe\u8868\u4e2d\u95f4\u7684\u4e24\u4e2a\u7ed3\u70b9 <code>A</code> , <code>B</code> \u4e4b\u95f4\u63d2\u5165\u4e00\u4e2a\u65b0\u7ed3\u70b9 <code>P</code> \uff0c\u6211\u4eec\u53ea\u9700\u8981\u6539\u53d8\u4e24\u4e2a\u7ed3\u70b9\u6307\u9488\u5373\u53ef\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff0c\u76f8\u6bd4\u6570\u7ec4\u7684\u63d2\u5165\u64cd\u4f5c\u9ad8\u6548\u5f88\u591a\u3002\u5728\u94fe\u8868\u4e2d\u5220\u9664\u67d0\u4e2a\u7ed3\u70b9\u4e5f\u5f88\u65b9\u4fbf\uff0c\u53ea\u9700\u8981\u6539\u53d8\u4e00\u4e2a\u7ed3\u70b9\u6307\u9488\u5373\u53ef\u3002</p> <p></p> <p> Fig. \u5728\u94fe\u8868\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode n0, ListNode P) {\nListNode n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode n0) {\nif (n0.next == null)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode P = n0.next;\nListNode n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode* n0, ListNode* P) {\nListNode* n1 = n0-&gt;next;\nn0-&gt;next = P;\nP-&gt;next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode* n0) {\nif (n0-&gt;next == nullptr)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode* P = n0-&gt;next;\nListNode* n1 = P-&gt;next;\nn0-&gt;next = n1;\n// \u91ca\u653e\u5185\u5b58\ndelete P;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P \"\"\"\ndef insert(n0, P):\nn1 = n0.next\nn0.next = P\nP.next = n1\n\"\"\" \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 \"\"\"\ndef remove(n0):\nif not n0.next:\nreturn\n# n0 -&gt; P -&gt; n1\nP = n0.next\nn1 = P.next\nn0.next = n1\n</code></pre> linked_list.go<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunc insertNode(n0 *ListNode, P *ListNode) {\nn1 := n0.Next\nn0.Next = P\nP.Next = n1\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc removeNode(n0 *ListNode) {\nif n0.Next == nil {\nreturn\n}\n// n0 -&gt; P -&gt; n1\nP := n0.Next\nn1 := P.Next\nn0.Next = n1\n}\n</code></pre> linked_list.js<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunction insert(n0, P) {\nconst n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction remove(n0) {\nif (!n0.next)\nreturn;\n// n0 -&gt; P -&gt; n1\nconst P = n0.next;\nconst n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.ts<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunction insert(n0: ListNode, P: ListNode): void {\nconst n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction remove(n0: ListNode): void {\nif (!n0.next) {\nreturn;\n}\n// n0 -&gt; P -&gt; n1\nconst P = n0.next;\nconst n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{insertNode}\n[class]{}-[func]{removeNode}\n</code></pre> linked_list.cs<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode n0, ListNode P)\n{\nListNode? n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode n0)\n{\nif (n0.next == null)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode P = n0.next;\nListNode? n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.swift<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunc insert(n0: ListNode, P: ListNode) {\nlet n1 = n0.next\nn0.next = P\nP.next = n1\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc remove(n0: ListNode) {\nif n0.next == nil {\nreturn\n}\n// n0 -&gt; P -&gt; n1\nlet P = n0.next\nlet n1 = P?.next\nn0.next = n1\nP?.next = nil\n}\n</code></pre> linked_list.zig<pre><code>// \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P\nfn insert(n0: ?*inc.ListNode(i32), P: ?*inc.ListNode(i32)) void {\nvar n1 = n0.?.next;\nn0.?.next = P;\nP.?.next = n1;\n}\n// \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9\nfn remove(n0: ?*inc.ListNode(i32)) void {\nif (n0.?.next == null) return;\n// n0 -&gt; P -&gt; n1\nvar P = n0.?.next;\nvar n1 = P.?.next;\nn0.?.next = n1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#422","title":"4.2.2. \u94fe\u8868\u7f3a\u70b9","text":"<p>\u94fe\u8868\u8bbf\u95ee\u7ed3\u70b9\u6548\u7387\u4f4e\u3002\u4e0a\u8282\u63d0\u5230\uff0c\u6570\u7ec4\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u4e0b\u8bbf\u95ee\u4efb\u610f\u5143\u7d20\uff0c\u4f46\u94fe\u8868\u65e0\u6cd5\u76f4\u63a5\u8bbf\u95ee\u4efb\u610f\u7ed3\u70b9\u3002\u8fd9\u662f\u56e0\u4e3a\u8ba1\u7b97\u673a\u9700\u8981\u4ece\u5934\u7ed3\u70b9\u51fa\u53d1\uff0c\u4e00\u4e2a\u4e00\u4e2a\u5730\u5411\u540e\u904d\u5386\u5230\u76ee\u6807\u7ed3\u70b9\u3002\u4f8b\u5982\uff0c\u5018\u82e5\u60f3\u8981\u8bbf\u95ee\u94fe\u8868\u7d22\u5f15\u4e3a <code>index</code> \uff08\u5373\u7b2c <code>index + 1</code> \u4e2a\uff09\u7684\u7ed3\u70b9\uff0c\u90a3\u4e48\u9700\u8981 <code>index</code> \u6b21\u8bbf\u95ee\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode access(ListNode head, int index) {\nfor (int i = 0; i &lt; index; i++) {\nif (head == null)\nreturn null;\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode* access(ListNode* head, int index) {\nfor (int i = 0; i &lt; index; i++) {\nif (head == nullptr)\nreturn nullptr;\nhead = head-&gt;next;\n}\nreturn head;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 \"\"\"\ndef access(head, index):\nfor _ in range(index):\nif not head:\nreturn None\nhead = head.next\nreturn head\n</code></pre> linked_list.go<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunc access(head *ListNode, index int) *ListNode {\nfor i := 0; i &lt; index; i++ {\nif head == nil {\nreturn nil\n}\nhead = head.Next\n}\nreturn head\n}\n</code></pre> linked_list.js<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunction access(head, index) {\nfor (let i = 0; i &lt; index; i++) {\nif (!head) {\nreturn null;\n}\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.ts<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunction access(head: ListNode | null, index: number): ListNode | null {\nfor (let i = 0; i &lt; index; i++) {\nif (!head) {\nreturn null;\n}\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{access}\n</code></pre> linked_list.cs<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode? access(ListNode head, int index)\n{\nfor (int i = 0; i &lt; index; i++)\n{\nif (head == null)\nreturn null;\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.swift<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunc access(head: ListNode, index: Int) -&gt; ListNode? {\nvar head: ListNode? = head\nfor _ in 0 ..&lt; index {\nif head == nil {\nreturn nil\n}\nhead = head?.next\n}\nreturn head\n}\n</code></pre> linked_list.zig<pre><code>// \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9\nfn access(node: ?*inc.ListNode(i32), index: i32) ?*inc.ListNode(i32) {\nvar head = node;\nvar i: i32 = 0;\nwhile (i &lt; index) : (i += 1) {\nhead = head.?.next;\nif (head == null) return null;\n}\nreturn head;\n}\n</code></pre> <p>\u94fe\u8868\u7684\u5185\u5b58\u5360\u7528\u591a\u3002\u94fe\u8868\u4ee5\u7ed3\u70b9\u4e3a\u5355\u4f4d\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u9664\u4e86\u4fdd\u5b58\u503c\u5916\uff0c\u8fd8\u9700\u989d\u5916\u4fdd\u5b58\u6307\u9488\uff08\u5f15\u7528\uff09\u3002\u8fd9\u610f\u5473\u7740\u540c\u6837\u6570\u636e\u91cf\u4e0b\uff0c\u94fe\u8868\u6bd4\u6570\u7ec4\u9700\u8981\u5360\u7528\u66f4\u591a\u5185\u5b58\u7a7a\u95f4\u3002</p>"},{"location":"chapter_array_and_linkedlist/linked_list/#423","title":"4.2.3. \u94fe\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u904d\u5386\u94fe\u8868\u67e5\u627e\u3002\u904d\u5386\u94fe\u8868\uff0c\u67e5\u627e\u94fe\u8868\u5185\u503c\u4e3a <code>target</code> \u7684\u7ed3\u70b9\uff0c\u8f93\u51fa\u7ed3\u70b9\u5728\u94fe\u8868\u4e2d\u7684\u7d22\u5f15\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode head, int target) {\nint index = 0;\nwhile (head != null) {\nif (head.val == target)\nreturn index;\nhead = head.next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode* head, int target) {\nint index = 0;\nwhile (head != nullptr) {\nif (head-&gt;val == target)\nreturn index;\nhead = head-&gt;next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 \"\"\"\ndef find(head, target):\nindex = 0\nwhile head:\nif head.val == target:\nreturn index\nhead = head.next\nindex += 1\nreturn -1\n</code></pre> linked_list.go<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc findNode(head *ListNode, target int) int {\nindex := 0\nfor head != nil {\nif head.Val == target {\nreturn index\n}\nhead = head.Next\nindex++\n}\nreturn -1\n}\n</code></pre> linked_list.js<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction find(head, target) {\nlet index = 0;\nwhile (head !== null) {\nif (head.val === target) {\nreturn index;\n}\nhead = head.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre> linked_list.ts<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction find(head: ListNode | null, target: number): number {\nlet index = 0;\nwhile (head !== null) {\nif (head.val === target) {\nreturn index;\n}\nhead = head.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{findNode}\n</code></pre> linked_list.cs<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode head, int target)\n{\nint index = 0;\nwhile (head != null)\n{\nif (head.val == target)\nreturn index;\nhead = head.next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.swift<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc find(head: ListNode, target: Int) -&gt; Int {\nvar head: ListNode? = head\nvar index = 0\nwhile head != nil {\nif head?.val == target {\nreturn index\n}\nhead = head?.next\nindex += 1\n}\nreturn -1\n}\n</code></pre> linked_list.zig<pre><code>// \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9\nfn find(node: ?*inc.ListNode(i32), target: i32) i32 {\nvar head = node;\nvar index: i32 = 0;\nwhile (head != null) {\nif (head.?.val == target) return index;\nhead = head.?.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#424","title":"4.2.4. \u5e38\u89c1\u94fe\u8868\u7c7b\u578b","text":"<p>\u5355\u5411\u94fe\u8868\u3002\u5373\u4e0a\u8ff0\u4ecb\u7ecd\u7684\u666e\u901a\u94fe\u8868\u3002\u5355\u5411\u94fe\u8868\u7684\u7ed3\u70b9\u6709\u300c\u503c\u300d\u548c\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u300c\u6307\u9488\uff08\u5f15\u7528\uff09\u300d\u4e24\u9879\u6570\u636e\u3002\u6211\u4eec\u5c06\u9996\u4e2a\u7ed3\u70b9\u79f0\u4e3a\u5934\u7ed3\u70b9\uff0c\u5c3e\u7ed3\u70b9\u6307\u5411 <code>null</code> \u3002</p> <p>\u73af\u5f62\u94fe\u8868\u3002\u5982\u679c\u6211\u4eec\u4ee4\u5355\u5411\u94fe\u8868\u7684\u5c3e\u7ed3\u70b9\u6307\u5411\u5934\u7ed3\u70b9\uff08\u5373\u9996\u5c3e\u76f8\u63a5\uff09\uff0c\u5219\u5f97\u5230\u4e00\u4e2a\u73af\u5f62\u94fe\u8868\u3002\u5728\u73af\u5f62\u94fe\u8868\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u4efb\u610f\u7ed3\u70b9\u770b\u4f5c\u662f\u5934\u7ed3\u70b9\u3002</p> <p>\u53cc\u5411\u94fe\u8868\u3002\u5355\u5411\u94fe\u8868\u4ec5\u8bb0\u5f55\u4e86\u4e00\u4e2a\u65b9\u5411\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\uff0c\u5728\u53cc\u5411\u94fe\u8868\u7684\u7ed3\u70b9\u5b9a\u4e49\u4e2d\uff0c\u540c\u65f6\u6709\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\uff08\u540e\u7ee7\u7ed3\u70b9\uff09\u548c\u4e0a\u4e00\u7ed3\u70b9\uff08\u524d\u9a71\u7ed3\u70b9\uff09\u7684\u300c\u6307\u9488\uff08\u5f15\u7528\uff09\u300d\u3002\u53cc\u5411\u94fe\u8868\u76f8\u5bf9\u4e8e\u5355\u5411\u94fe\u8868\u66f4\u52a0\u7075\u6d3b\uff0c\u5373\u53ef\u4ee5\u671d\u4e24\u4e2a\u65b9\u5411\u904d\u5386\u94fe\u8868\uff0c\u4f46\u4e5f\u9700\u8981\u5360\u7528\u66f4\u591a\u7684\u5185\u5b58\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) { val = x; }  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct ListNode {\nint val;         // \u7ed3\u70b9\u503c\nListNode *next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode *prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) : val(x), next(nullptr), prev(nullptr) {}  // \u6784\u9020\u51fd\u6570\n};\n</code></pre> <pre><code>\"\"\" \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\" \nclass ListNode:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nself.prev = None  # \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\ntype DoublyListNode struct {\nVal  int             // \u7ed3\u70b9\u503c\nNext *DoublyListNode // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nPrev *DoublyListNode // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n// NewDoublyListNode \u521d\u59cb\u5316\nfunc NewDoublyListNode(val int) *DoublyListNode {\nreturn &amp;DoublyListNode{\nVal:  val,\nNext: nil,\nPrev: nil,\n}\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nval;\nnext;\nprev;\nconstructor(val, next) {\nthis.val = val  ===  undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next  ===  undefined ? null : next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nthis.prev = prev  ===  undefined ? null : prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nval: number;\nnext: ListNode | null;\nprev: ListNode | null;\nconstructor(val?: number, next?: ListNode | null, prev?: ListNode | null) {\nthis.val = val  ===  undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next  ===  undefined ? null : next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nthis.prev = prev  ===  undefined ? null : prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) =&gt; val = x;  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar next: ListNode? // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nvar prev: ListNode? // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\ninit(x: Int) { // \u6784\u9020\u51fd\u6570\nval = x\n}\n}\n</code></pre> <pre><code>// \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b\npub fn ListNode(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nval: T = 0, // \u7ed3\u70b9\u503c\nnext: ?*Self = null, // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nprev: ?*Self = null, // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n// \u6784\u9020\u51fd\u6570\npub fn init(self: *Self, x: i32) void {\nself.val = x;\nself.next = null;\nself.prev = null;\n}\n};\n}\n</code></pre> <p></p> <p> Fig. \u5e38\u89c1\u94fe\u8868\u7c7b\u578b </p>"},{"location":"chapter_array_and_linkedlist/list/","title":"4.3. \u5217\u8868","text":"<p>\u7531\u4e8e\u957f\u5ea6\u4e0d\u53ef\u53d8\uff0c\u6570\u7ec4\u7684\u5b9e\u7528\u6027\u5927\u5927\u964d\u4f4e\u3002\u5728\u5f88\u591a\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e8b\u5148\u5e76\u4e0d\u77e5\u9053\u4f1a\u8f93\u5165\u591a\u5c11\u6570\u636e\uff0c\u8fd9\u5c31\u4e3a\u6570\u7ec4\u957f\u5ea6\u7684\u9009\u62e9\u5e26\u6765\u4e86\u5f88\u5927\u56f0\u96be\u3002\u957f\u5ea6\u9009\u5c0f\u4e86\uff0c\u9700\u8981\u5728\u6dfb\u52a0\u6570\u636e\u4e2d\u9891\u7e41\u5730\u6269\u5bb9\u6570\u7ec4\uff1b\u957f\u5ea6\u9009\u5927\u4e86\uff0c\u53c8\u9020\u6210\u5185\u5b58\u7a7a\u95f4\u7684\u6d6a\u8d39\u3002</p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u8bde\u751f\u4e86\u4e00\u79cd\u88ab\u79f0\u4e3a\u300c\u5217\u8868 List\u300d\u7684\u6570\u636e\u7ed3\u6784\u3002\u5217\u8868\u53ef\u4ee5\u88ab\u7406\u89e3\u4e3a\u957f\u5ea6\u53ef\u53d8\u7684\u6570\u7ec4\uff0c\u56e0\u6b64\u4e5f\u5e38\u88ab\u79f0\u4e3a\u300c\u52a8\u6001\u6570\u7ec4 Dynamic Array\u300d\u3002\u5217\u8868\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\uff0c\u7ee7\u627f\u4e86\u6570\u7ec4\u7684\u4f18\u70b9\uff0c\u540c\u65f6\u8fd8\u53ef\u4ee5\u5728\u7a0b\u5e8f\u8fd0\u884c\u4e2d\u5b9e\u65f6\u6269\u5bb9\u3002\u5728\u5217\u8868\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u81ea\u7531\u5730\u6dfb\u52a0\u5143\u7d20\uff0c\u800c\u4e0d\u7528\u62c5\u5fc3\u8d85\u8fc7\u5bb9\u91cf\u9650\u5236\u3002</p>"},{"location":"chapter_array_and_linkedlist/list/#431","title":"4.3.1. \u5217\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u521d\u59cb\u5316\u5217\u8868\u3002\u6211\u4eec\u901a\u5e38\u4f1a\u4f7f\u7528\u5230\u201c\u65e0\u521d\u59cb\u503c\u201d\u548c\u201c\u6709\u521d\u59cb\u503c\u201d\u7684\u4e24\u79cd\u521d\u59cb\u5316\u65b9\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nList&lt;Integer&gt; list1 = new ArrayList&lt;&gt;();\n// \u6709\u521d\u59cb\u503c\uff08\u6ce8\u610f\u6570\u7ec4\u7684\u5143\u7d20\u7c7b\u578b\u9700\u4e3a int[] \u7684\u5305\u88c5\u7c7b Integer[]\uff09\nInteger[] numbers = new Integer[] { 1, 3, 2, 5, 4 };\nList&lt;Integer&gt; list = new ArrayList&lt;&gt;(Arrays.asList(numbers));\n</code></pre> list.cpp<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u9700\u6ce8\u610f\uff0cC++ \u4e2d vector \u5373\u662f\u672c\u6587\u63cf\u8ff0\u7684 list\n// \u65e0\u521d\u59cb\u503c\nvector&lt;int&gt; list1;\n// \u6709\u521d\u59cb\u503c\nvector&lt;int&gt; list = { 1, 3, 2, 5, 4 };\n</code></pre> list.py<pre><code>\"\"\" \u521d\u59cb\u5316\u5217\u8868 \"\"\"\n# \u65e0\u521d\u59cb\u503c\nlist1 = []\n# \u6709\u521d\u59cb\u503c\nlist = [1, 3, 2, 5, 4]\n</code></pre> list_test.go<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nlist1 := []int\n// \u6709\u521d\u59cb\u503c\nlist := []int{1, 3, 2, 5, 4}\n</code></pre> list.js<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nconst list1 = [];\n// \u6709\u521d\u59cb\u503c\nconst list = [1, 3, 2, 5, 4];\n</code></pre> list.ts<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nconst list1: number[] = [];\n// \u6709\u521d\u59cb\u503c\nconst list: number[] = [1, 3, 2, 5, 4];\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nList&lt;int&gt; list1 = new ();\n// \u6709\u521d\u59cb\u503c\nint[] numbers = new int[] { 1, 3, 2, 5, 4 };\nList&lt;int&gt; list = numbers.ToList();\n</code></pre> list.swift<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nlet list1: [Int] = []\n// \u6709\u521d\u59cb\u503c\nvar list = [1, 3, 2, 5, 4]\n</code></pre> list.zig<pre><code>// \u521d\u59cb\u5316\u5217\u8868\nvar list = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer list.deinit();\ntry list.appendSlice(&amp;[_]i32{ 1, 3, 2, 5, 4 });\n</code></pre> <p>\u8bbf\u95ee\u4e0e\u66f4\u65b0\u5143\u7d20\u3002\u5217\u8868\u7684\u5e95\u5c42\u6570\u636e\u7ed3\u6784\u662f\u6570\u7ec4\uff0c\u56e0\u6b64\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u5185\u8bbf\u95ee\u4e0e\u66f4\u65b0\u5143\u7d20\uff0c\u6548\u7387\u5f88\u9ad8\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list.get(1);  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist.set(1, 0);  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.cpp<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.py<pre><code>\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\nnum = list[1]  # \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n\"\"\" \u66f4\u65b0\u5143\u7d20 \"\"\"\nlist[1] = 0    # \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list_test.go<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nnum := list[1]  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0     // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.js<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nconst num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.ts<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nconst num: number = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.swift<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nlet num = list[1] // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0 // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.zig<pre><code>// \u8bbf\u95ee\u5143\u7d20\nvar num = list.items[1]; // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n// \u66f4\u65b0\u5143\u7d20\nlist.items[1] = 0; // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0  \n</code></pre> <p>\u5728\u5217\u8868\u4e2d\u6dfb\u52a0\u3001\u63d2\u5165\u3001\u5220\u9664\u5143\u7d20\u3002\u76f8\u5bf9\u4e8e\u6570\u7ec4\uff0c\u5217\u8868\u53ef\u4ee5\u81ea\u7531\u5730\u6dfb\u52a0\u4e0e\u5220\u9664\u5143\u7d20\u3002\u5728\u5217\u8868\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff0c\u4f46\u662f\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20\u7684\u6548\u7387\u4ecd\u4e0e\u6570\u7ec4\u4e00\u6837\u4f4e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(N)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.add(1);\nlist.add(3);\nlist.add(2);\nlist.add(5);\nlist.add(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.add(3, 6);  // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.remove(3);  // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.cpp<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push_back(1);\nlist.push_back(3);\nlist.push_back(2);\nlist.push_back(5);\nlist.push_back(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.insert(list.begin() + 3, 6);  // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.erase(list.begin() + 3);      // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.py<pre><code>\"\"\" \u6e05\u7a7a\u5217\u8868 \"\"\"\nlist.clear()\n\"\"\" \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 \"\"\"\nlist.append(1)\nlist.append(3)\nlist.append(2)\nlist.append(5)\nlist.append(4)\n\"\"\" \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 \"\"\"\nlist.insert(3, 6)  # \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n\"\"\" \u5220\u9664\u5143\u7d20 \"\"\"\nlist.pop(3)        # \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list_test.go<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist = nil\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist = append(list, 1)\nlist = append(list, 3)\nlist = append(list, 2)\nlist = append(list, 5)\nlist = append(list, 4)\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist = append(list[:3], append([]int{6}, list[3:]...)...) // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist = append(list[:3], list[4:]...) // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.js<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.length = 0;\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push(1);\nlist.push(3);\nlist.push(2);\nlist.push(5);\nlist.push(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.splice(3, 0, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.splice(3, 1);\n</code></pre> list.ts<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.length = 0;\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push(1);\nlist.push(3);\nlist.push(2);\nlist.push(5);\nlist.push(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.splice(3, 0, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.splice(3, 1);\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.Clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.Add(1);\nlist.Add(3);\nlist.Add(2);\nlist.Add(5);\nlist.Add(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.Insert(3, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.RemoveAt(3);\n</code></pre> list.swift<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.removeAll()\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.append(1)\nlist.append(3)\nlist.append(2)\nlist.append(5)\nlist.append(4)\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.insert(6, at: 3) // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.remove(at: 3) // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.zig<pre><code>// \u6e05\u7a7a\u5217\u8868\nlist.clearRetainingCapacity();\n// \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\ntry list.append(1);\ntry list.append(3);\ntry list.append(2);\ntry list.append(5);\ntry list.append(4);\n// \u4e2d\u95f4\u63d2\u5165\u5143\u7d20\ntry list.insert(3, 6); // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n// \u5220\u9664\u5143\u7d20\n_ = list.orderedRemove(3); // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> <p>\u904d\u5386\u5217\u8868\u3002\u4e0e\u6570\u7ec4\u4e00\u6837\uff0c\u5217\u8868\u53ef\u4ee5\u4f7f\u7528\u7d22\u5f15\u904d\u5386\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528 <code>for-each</code> \u76f4\u63a5\u904d\u5386\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.size(); i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (int n : list) {\ncount++;\n}\n</code></pre> list.cpp<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.size(); i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (int n : list) {\ncount++;\n}\n</code></pre> list.py<pre><code>\"\"\" \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 \"\"\"\ncount = 0\nfor i in range(len(list)):\ncount += 1\n\"\"\" \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 \"\"\"\ncount = 0\nfor n in list:\ncount += 1\n</code></pre> list_test.go<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\ncount := 0\nfor i := 0; i &lt; len(list); i++ {\ncount++\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0\nfor range list {\ncount++\n}\n</code></pre> list.js<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nlet count = 0;\nfor (let i = 0; i &lt; list.length; i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (const n of list) {\ncount++;\n}\n</code></pre> list.ts<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nlet count = 0;\nfor (let i = 0; i &lt; list.length; i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (const n of list) {\ncount++;\n}\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.Count(); i++)\n{\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nforeach (int n in list)\n{\ncount++;\n}\n</code></pre> list.swift<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nvar count = 0\nfor _ in list.indices {\ncount += 1\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0\nfor _ in list {\ncount += 1\n}\n</code></pre> list.zig<pre><code>// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868\nvar count: i32 = 0;\nvar i: i32 = 0;\nwhile (i &lt; list.items.len) : (i += 1) {\ncount += 1;\n}\n// \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20\ncount = 0;\nfor (list.items) |_| {\ncount += 1;\n}\n</code></pre> <p>\u62fc\u63a5\u4e24\u4e2a\u5217\u8868\u3002\u518d\u521b\u5efa\u4e00\u4e2a\u65b0\u5217\u8868 <code>list1</code> \uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u4e2d\u4e00\u4e2a\u5217\u8868\u62fc\u63a5\u5230\u53e6\u4e00\u4e2a\u7684\u5c3e\u90e8\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nList&lt;Integer&gt; list1 = new ArrayList&lt;&gt;(Arrays.asList(new Integer[] { 6, 8, 7, 10, 9 }));\nlist.addAll(list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.cpp<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nvector&lt;int&gt; list1 = { 6, 8, 7, 10, 9 };\n// \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\nlist.insert(list.end(), list1.begin(), list1.end());\n</code></pre> list.py<pre><code>\"\"\" \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 \"\"\"\nlist1 = [6, 8, 7, 10, 9]\nlist += list1  # \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list_test.go<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nlist1 := []int{6, 8, 7, 10, 9}\nlist = append(list, list1...)  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.js<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nconst list1 = [6, 8, 7, 10, 9];\nlist.push(...list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.ts<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nconst list1: number[] = [6, 8, 7, 10, 9];\nlist.push(...list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nList&lt;int&gt; list1 = new() { 6, 8, 7, 10, 9 };\nlist.AddRange(list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.swift<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nlet list1 = [6, 8, 7, 10, 9]\nlist.append(contentsOf: list1) // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.zig<pre><code>// \u62fc\u63a5\u4e24\u4e2a\u5217\u8868\nvar list1 = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer list1.deinit();\ntry list1.appendSlice(&amp;[_]i32{ 6, 8, 7, 10, 9 });\ntry list.insertSlice(list.items.len, list1.items); // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> <p>\u6392\u5e8f\u5217\u8868\u3002\u6392\u5e8f\u4e5f\u662f\u5e38\u7528\u7684\u65b9\u6cd5\u4e4b\u4e00\uff0c\u5b8c\u6210\u5217\u8868\u6392\u5e8f\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u5728\u6570\u7ec4\u7c7b\u7b97\u6cd5\u9898\u4e2d\u7ecf\u5e38\u8003\u5bdf\u7684\u300c\u4e8c\u5206\u67e5\u627e\u300d\u548c\u300c\u53cc\u6307\u9488\u300d\u7b97\u6cd5\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nCollections.sort(list);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.cpp<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nsort(list.begin(), list.end());  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.py<pre><code>\"\"\" \u6392\u5e8f\u5217\u8868 \"\"\"\nlist.sort()  # \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list_test.go<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nsort.Ints(list)  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.js<pre><code>/* \u6392\u5e8f\u5217\u8868 */  list.sort((a, b) =&gt; a - b);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.ts<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.sort((a, b) =&gt; a - b);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.Sort(); // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.swift<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.sort() // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.zig<pre><code>// \u6392\u5e8f\u5217\u8868\nstd.sort.sort(i32, list.items, {}, comptime std.sort.asc(i32));\n</code></pre>"},{"location":"chapter_array_and_linkedlist/list/#432","title":"4.3.2. \u5217\u8868\u7b80\u6613\u5b9e\u73b0 *","text":"<p>\u4e3a\u4e86\u5e2e\u52a9\u52a0\u6df1\u5bf9\u5217\u8868\u7684\u7406\u89e3\uff0c\u6211\u4eec\u5728\u6b64\u63d0\u4f9b\u4e00\u4e2a\u5217\u8868\u7684\u7b80\u6613\u7248\u672c\u7684\u5b9e\u73b0\u3002\u9700\u8981\u5173\u6ce8\u4e09\u4e2a\u6838\u5fc3\u70b9\uff1a</p> <ul> <li>\u521d\u59cb\u5bb9\u91cf\uff1a\u9009\u53d6\u4e00\u4e2a\u5408\u7406\u7684\u6570\u7ec4\u7684\u521d\u59cb\u5bb9\u91cf <code>initialCapacity</code> \u3002\u5728\u672c\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u9009\u62e9 10 \u4f5c\u4e3a\u521d\u59cb\u5bb9\u91cf\u3002</li> <li>\u6570\u91cf\u8bb0\u5f55\uff1a\u9700\u8981\u58f0\u660e\u4e00\u4e2a\u53d8\u91cf <code>size</code> \uff0c\u7528\u6765\u8bb0\u5f55\u5217\u8868\u5f53\u524d\u6709\u591a\u5c11\u4e2a\u5143\u7d20\uff0c\u5e76\u968f\u7740\u5143\u7d20\u63d2\u5165\u4e0e\u5220\u9664\u5b9e\u65f6\u66f4\u65b0\u3002\u6839\u636e\u6b64\u53d8\u91cf\uff0c\u53ef\u4ee5\u5b9a\u4f4d\u5217\u8868\u7684\u5c3e\u90e8\uff0c\u4ee5\u53ca\u5224\u65ad\u662f\u5426\u9700\u8981\u6269\u5bb9\u3002</li> <li>\u6269\u5bb9\u673a\u5236\uff1a\u63d2\u5165\u5143\u7d20\u6709\u53ef\u80fd\u5bfc\u81f4\u8d85\u51fa\u5217\u8868\u5bb9\u91cf\uff0c\u6b64\u65f6\u9700\u8981\u6269\u5bb9\u5217\u8868\uff0c\u65b9\u6cd5\u662f\u5efa\u7acb\u4e00\u4e2a\u66f4\u5927\u7684\u6570\u7ec4\u6765\u66ff\u6362\u5f53\u524d\u6570\u7ec4\u3002\u9700\u8981\u7ed9\u5b9a\u4e00\u4e2a\u6269\u5bb9\u500d\u6570 <code>extendRatio</code> \uff0c\u5728\u672c\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u89c4\u5b9a\u6bcf\u6b21\u5c06\u6570\u7ec4\u6269\u5bb9\u81f3\u4e4b\u524d\u7684 2 \u500d\u3002</li> </ul> <p>\u672c\u793a\u4f8b\u662f\u4e3a\u4e86\u5e2e\u52a9\u8bfb\u8005\u5bf9\u5982\u4f55\u5b9e\u73b0\u5217\u8868\u4ea7\u751f\u76f4\u89c2\u7684\u8ba4\u8bc6\u3002\u5b9e\u9645\u7f16\u7a0b\u8bed\u8a00\u4e2d\uff0c\u5217\u8868\u7684\u5b9e\u73b0\u8fdc\u6bd4\u4ee5\u4e0b\u4ee3\u7801\u590d\u6742\u4e14\u6807\u51c6\uff0c\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53ef\u4ee5\u67e5\u9605\u6e90\u7801\u5b66\u4e60\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_list.java<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate int[] nums;           // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate int capacity = 10;    // \u5217\u8868\u5bb9\u91cf\nprivate int size = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate int extendRatio = 2;  // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\npublic MyList() {\nnums = new int[capacity];\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic int size() {\nreturn size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic int capacity() {\nreturn capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic int get(int index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic void set(int index, int num) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic void add(int num) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size == capacity())\nextendCapacity();\nnums[size] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic void insert(int index, int num) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size == capacity())\nextendCapacity();\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = size - 1; j &gt;= index; j--) {\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic int remove(int index) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; size - 1; j++) {\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic void extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nnums = Arrays.copyOf(nums, capacity() * extendRatio);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\ncapacity = nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic int[] toArray() {\nint size = size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] nums = new int[size];\nfor (int i = 0; i &lt; size; i++) {\nnums[i] = get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.cpp<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate:\nint* nums;                // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nint numsCapacity = 10;    // \u5217\u8868\u5bb9\u91cf\nint numsSize = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nint extendRatio = 2;      // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nMyList() {\nnums = new int[numsCapacity];\n}\n/* \u6790\u6784\u65b9\u6cd5 */\n~MyList() {\ndelete[] nums;\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nint size() {\nreturn numsSize;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nint capacity() {\nreturn numsCapacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nint get(int index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nvoid set(int index, int num) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nvoid add(int num) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size() == capacity())\nextendCapacity();\nnums[size()] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nvoid insert(int index, int num) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size() == capacity())\nextendCapacity();\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = size() - 1; j &gt;= index; j--) {\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\nint remove(int index) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; size() - 1; j++) {\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\nvoid extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nint newCapacity = capacity() * extendRatio;\nint* tmp = nums;\nnums = new int[newCapacity];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; size(); i++) {\nnums[i] = tmp[i];\n}\n// \u91ca\u653e\u5185\u5b58\ndelete[] tmp;\nnumsCapacity = newCapacity;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a Vector \u7528\u4e8e\u6253\u5370 */\nvector&lt;int&gt; toVector() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvector&lt;int&gt; vec(size());\nfor (int i = 0; i &lt; size(); i++) {\nvec[i] = nums[i];\n}\nreturn vec;\n}\n};\n</code></pre> my_list.py<pre><code>\"\"\" \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 \"\"\"\nclass MyList:\n\"\"\" \u6784\u9020\u65b9\u6cd5 \"\"\"\ndef __init__(self):\nself.__capacity = 10                 # \u5217\u8868\u5bb9\u91cf\nself.__nums = [0] * self.__capacity  # \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nself.__size = 0                      # \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nself.__extend_ratio = 2              # \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n\"\"\" \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u83b7\u53d6\u5217\u8868\u5bb9\u91cf \"\"\"\ndef capacity(self):\nreturn self.__capacity\n\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\ndef get(self, index):\n# \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nreturn self.__nums[index]\n\"\"\" \u66f4\u65b0\u5143\u7d20 \"\"\"\ndef set(self, num, index):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nself.__nums[index] = num\n\"\"\" \u4e2d\u95f4\u63d2\u5165\uff08\u5c3e\u90e8\u6dfb\u52a0\uff09\u5143\u7d20 \"\"\"\ndef add(self, num, index=-1):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\n# \u82e5\u4e0d\u6307\u5b9a\u7d22\u5f15 index \uff0c\u5219\u5411\u6570\u7ec4\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\nif index == -1:\nindex = self.__size\n# \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif self.__size == self.capacity():\nself.extend_capacity()\n# \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j in range(self.__size - 1, index - 1, -1):\nself.__nums[j + 1] = self.__nums[j]\nself.__nums[index] = num\n# \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.__size += 1\n\"\"\" \u5220\u9664\u5143\u7d20 \"\"\"\ndef remove(self, index):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nnum = self.nums[index]\n# \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j in range(index, self.__size - 1):\nself.__nums[j] = self.__nums[j + 1]\n# \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.__size -= 1\n# \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n\"\"\" \u5217\u8868\u6269\u5bb9 \"\"\"\ndef extend_capacity(self):\n# \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a self.__size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nself.__nums = self.__nums + [0] * self.capacity() * (self.__extend_ratio - 1)\n# \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nself.__capacity = len(self.__nums)\n\"\"\" \u8fd4\u56de\u6709\u6548\u957f\u5ea6\u7684\u5217\u8868 \"\"\"\ndef to_array(self):\nreturn self.__nums[:self.__size]\n</code></pre> my_list.go<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\ntype myList struct {\nnumsCapacity int\nnums         []int\nnumsSize     int\nextendRatio  int\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newMyList() *myList {\nreturn &amp;myList{\nnumsCapacity: 10,              // \u5217\u8868\u5bb9\u91cf\nnums:         make([]int, 10), // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nnumsSize:     0,               // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nextendRatio:  2,               // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n}\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09 */\nfunc (l *myList) size() int {\nreturn l.numsSize\n}\n/*  \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nfunc (l *myList) capacity() int {\nreturn l.numsCapacity\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nfunc (l *myList) get(index int) int {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nreturn l.nums[index]\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nfunc (l *myList) set(num, index int) {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nl.nums[index] = num\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nfunc (l *myList) add(num int) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif l.numsSize == l.numsCapacity {\nl.extendCapacity()\n}\nl.nums[l.numsSize] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize++\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nfunc (l *myList) insert(num, index int) {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif l.numsSize == l.numsCapacity {\nl.extendCapacity()\n}\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j := l.numsSize - 1; j &gt;= index; j-- {\nl.nums[j+1] = l.nums[j]\n}\nl.nums[index] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize++\n}\n/* \u5220\u9664\u5143\u7d20 */\nfunc (l *myList) remove(index int) int {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nnum := l.nums[index]\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j := index; j &lt; l.numsSize-1; j++ {\nl.nums[j] = l.nums[j+1]\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize--\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n}\n/* \u5217\u8868\u6269\u5bb9 */\nfunc (l *myList) extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a self.__size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nl.nums = append(l.nums, make([]int, l.numsCapacity*(l.extendRatio-1))...)\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nl.numsCapacity = len(l.nums)\n}\n/* \u8fd4\u56de\u6709\u6548\u957f\u5ea6\u7684\u5217\u8868 */\nfunc (l *myList) toArray() []int {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nreturn l.nums[:l.numsSize]\n}\n</code></pre> my_list.js<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\n#nums = new Array(); // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\n#capacity = 10; // \u5217\u8868\u5bb9\u91cf\n#size = 0; // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\n#extendRatio = 2; // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor() {\nthis.#nums = new Array(this.#capacity);\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nsize() {\nreturn this.#size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\ncapacity() {\nreturn this.#capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nget(index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nreturn this.#nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nset(index, num) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nthis.#nums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nadd(num) {\n// \u5982\u679c\u957f\u5ea6\u7b49\u4e8e\u5bb9\u91cf\uff0c\u5219\u9700\u8981\u6269\u5bb9\nif (this.#size === this.#capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u65b0\u5143\u7d20\u6dfb\u52a0\u5230\u5217\u8868\u5c3e\u90e8\nthis.#nums[this.#size] = num;\nthis.#size++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\ninsert(index, num) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (this.#size === this.#capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let j = this.#size - 1; j &gt;= index; j--) {\nthis.#nums[j + 1] = this.#nums[j];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.#nums[index] = num;\nthis.#size++;\n}\n/* \u5220\u9664\u5143\u7d20 */\nremove(index) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nlet num = this.#nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let j = index; j &lt; this.#size - 1; j++) {\nthis.#nums[j] = this.#nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.#size--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\nextendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nthis.#nums = this.#nums.concat(\nnew Array(this.capacity() * (this.#extendRatio - 1))\n);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nthis.#capacity = this.#nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\ntoArray() {\nlet size = this.size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst nums = new Array(size);\nfor (let i = 0; i &lt; size; i++) {\nnums[i] = this.get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.ts<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate nums: Array&lt;number&gt;; // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate _capacity: number = 10; // \u5217\u8868\u5bb9\u91cf\nprivate _size: number = 0; // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate extendRatio: number = 2; // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor() {\nthis.nums = new Array(this._capacity);\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic size(): number {\nreturn this._size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic capacity(): number {\nreturn this._capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic get(index: number): number {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nreturn this.nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic set(index: number, num: number): void {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nthis.nums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic add(num: number): void {\n// \u5982\u679c\u957f\u5ea6\u7b49\u4e8e\u5bb9\u91cf\uff0c\u5219\u9700\u8981\u6269\u5bb9\nif (this._size === this._capacity)\nthis.extendCapacity();\n// \u5c06\u65b0\u5143\u7d20\u6dfb\u52a0\u5230\u5217\u8868\u5c3e\u90e8\nthis.nums[this._size] = num;\nthis._size++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic insert(index: number, num: number): void {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (this._size === this._capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let j = this._size - 1; j &gt;= index; j--) {\nthis.nums[j + 1] = this.nums[j];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.nums[index] = num;\nthis._size++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic remove(index: number): number {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nlet num = this.nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let j = index; j &lt; this._size - 1; j++) {\nthis.nums[j] = this.nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis._size--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic extendCapacity(): void {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nthis.nums = this.nums.concat(\nnew Array(this.capacity() * (this.extendRatio - 1))\n);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nthis._capacity = this.nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic toArray(): number[] {\nlet size = this.size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nlet nums = new Array(size);\nfor (let i = 0; i &lt; size; i++) {\nnums[i] = this.get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.c<pre><code>[class]{myList}-[func]{}\n</code></pre> my_list.cs<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList\n{\nprivate int[] nums;           // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate int numsCapacity = 10;    // \u5217\u8868\u5bb9\u91cf\nprivate int numsSize = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate int extendRatio = 2;  // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\npublic MyList()\n{\nnums = new int[numsCapacity];\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic int size()\n{\nreturn numsSize;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic int capacity()\n{\nreturn numsCapacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic int get(int index)\n{\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic void set(int index, int num)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic void add(int num)\n{\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (numsSize == numsCapacity)\nextendCapacity();\nnums[numsSize] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic void insert(int index, int num)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (numsSize == numsCapacity)\nextendCapacity();\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = numsSize - 1; j &gt;= index; j--)\n{\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic int remove(int index)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; numsSize - 1; j++)\n{\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic void extendCapacity()\n{\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a numsCapacity * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nSystem.Array.Resize(ref nums, numsCapacity * extendRatio);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nnumsCapacity = nums.Length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic int[] toArray()\n{\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] nums = new int[numsSize];\nfor (int i = 0; i &lt; numsSize; i++)\n{\nnums[i] = get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.swift<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate var nums: [Int] // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate var _capacity = 10 // \u5217\u8868\u5bb9\u91cf\nprivate var _size = 0 // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate let extendRatio = 2 // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\ninit() {\nnums = Array(repeating: 0, count: _capacity)\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nfunc size() -&gt; Int {\n_size\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nfunc capacity() -&gt; Int {\n_capacity\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nfunc get(index: Int) -&gt; Int {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u9519\u8bef\uff0c\u4e0b\u540c\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nreturn nums[index]\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nfunc set(index: Int, num: Int) {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nnums[index] = num\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nfunc add(num: Int) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif _size == _capacity {\nextendCapacity()\n}\nnums[_size] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size += 1\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nfunc insert(index: Int, num: Int) {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif _size == _capacity {\nextendCapacity()\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j in sequence(first: _size - 1, next: { $0 &gt;= index + 1 ? $0 - 1 : nil }) {\nnums[j + 1] = nums[j]\n}\nnums[index] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size += 1\n}\n/* \u5220\u9664\u5143\u7d20 */\n@discardableResult\nfunc remove(index: Int) -&gt; Int {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nlet num = nums[index]\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j in index ..&lt; (_size - 1) {\nnums[j] = nums[j + 1]\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size -= 1\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n}\n/* \u5217\u8868\u6269\u5bb9 */\nfunc extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nnums = nums + Array(repeating: 0, count: _capacity * (extendRatio - 1))\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\n_capacity = nums.count\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\nfunc toArray() -&gt; [Int] {\nvar nums = Array(repeating: 0, count: _size)\nfor i in 0 ..&lt; _size {\nnums[i] = get(index: i)\n}\nreturn nums\n}\n}\n</code></pre> my_list.zig<pre><code>// \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0\nfn MyList(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nnums: []T = undefined,                        // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nnumsCapacity: usize = 10,                     // \u5217\u8868\u5bb9\u91cf\nnumSize: usize = 0,                           // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nextendRatio: usize = 2,                       // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined, // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u5217\u8868\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.nums = try self.mem_allocator.alloc(T, self.numsCapacity);\nstd.mem.set(T, self.nums, @as(T, 0));\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\npub fn size(self: *Self) usize {\nreturn self.numSize;\n}\n// \u83b7\u53d6\u5217\u8868\u5bb9\u91cf\npub fn capacity(self: *Self) usize {\nreturn self.numsCapacity;\n}\n// \u8bbf\u95ee\u5143\u7d20\npub fn get(self: *Self, index: usize) T {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn self.nums[index];\n}  // \u66f4\u65b0\u5143\u7d20\npub fn set(self: *Self, index: usize, num: T) void {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nself.nums[index] = num;\n}  // \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\npub fn add(self: *Self, num: T) !void {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (self.size() == self.capacity()) try self.extendCapacity();\nself.nums[self.size()] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize += 1;\n}  // \u4e2d\u95f4\u63d2\u5165\u5143\u7d20\npub fn insert(self: *Self, index: usize, num: T) !void {\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (self.size() == self.capacity()) try self.extendCapacity();\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nvar j = self.size() - 1;\nwhile (j &gt;= index) : (j -= 1) {\nself.nums[j + 1] = self.nums[j];\n}\nself.nums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize += 1;\n}\n// \u5220\u9664\u5143\u7d20\npub fn remove(self: *Self, index: usize) T {\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nvar num = self.nums[index];\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nvar j = index;\nwhile (j &lt; self.size() - 1) : (j += 1) {\nself.nums[j] = self.nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize -= 1;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n// \u5217\u8868\u6269\u5bb9\npub fn extendCapacity(self: *Self) !void {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nvar newCapacity = self.capacity() * self.extendRatio;\nvar extend = try self.mem_allocator.alloc(T, newCapacity);\nstd.mem.set(T, extend, @as(T, 0));\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nstd.mem.copy(T, extend, self.nums);\nself.nums = extend;\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nself.numsCapacity = newCapacity;\n}\n// \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar nums = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, nums, @as(T, 0));\nfor (nums) |*num, i| {\nnum.* = self.get(i);\n}\nreturn nums;\n}\n};\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/summary/","title":"4.4. \u5c0f\u7ed3","text":"<ul> <li>\u6570\u7ec4\u548c\u94fe\u8868\u662f\u4e24\u79cd\u57fa\u672c\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u4e24\u79cd\u5b58\u50a8\u65b9\u5f0f\uff0c\u5373\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\u548c\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\u3002\u4e24\u8005\u7684\u4f18\u70b9\u4e0e\u7f3a\u70b9\u5448\u73b0\u51fa\u6b64\u6d88\u5f7c\u957f\u7684\u5173\u7cfb\u3002</li> <li>\u6570\u7ec4\u652f\u6301\u968f\u673a\u8bbf\u95ee\u3001\u5185\u5b58\u7a7a\u95f4\u5360\u7528\u5c0f\uff1b\u4f46\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20\u6548\u7387\u4f4e\uff0c\u4e14\u521d\u59cb\u5316\u540e\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002</li> <li>\u94fe\u8868\u53ef\u901a\u8fc7\u66f4\u6539\u6307\u9488\u5b9e\u73b0\u9ad8\u6548\u7684\u7ed3\u70b9\u63d2\u5165\u4e0e\u5220\u9664\uff0c\u5e76\u4e14\u53ef\u4ee5\u7075\u6d3b\u5730\u4fee\u6539\u957f\u5ea6\uff1b\u4f46\u7ed3\u70b9\u8bbf\u95ee\u6548\u7387\u4f4e\u3001\u5360\u7528\u5185\u5b58\u591a\u3002\u5e38\u89c1\u7684\u94fe\u8868\u7c7b\u578b\u6709\u5355\u5411\u94fe\u8868\u3001\u5faa\u73af\u94fe\u8868\u3001\u53cc\u5411\u94fe\u8868\u3002</li> <li>\u5217\u8868\u53c8\u79f0\u52a8\u6001\u6570\u7ec4\uff0c\u662f\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u4e00\u79cd\u6570\u636e\u7ed3\u6784\uff0c\u5176\u4fdd\u5b58\u4e86\u6570\u7ec4\u7684\u4f18\u52bf\uff0c\u4e14\u53ef\u4ee5\u7075\u6d3b\u6539\u53d8\u957f\u5ea6\u3002\u5217\u8868\u7684\u51fa\u73b0\u5927\u5927\u63d0\u5347\u4e86\u6570\u7ec4\u7684\u5b9e\u7528\u6027\uff0c\u4f46\u526f\u4f5c\u7528\u662f\u4f1a\u9020\u6210\u90e8\u5206\u5185\u5b58\u7a7a\u95f4\u6d6a\u8d39\u3002</li> </ul>"},{"location":"chapter_array_and_linkedlist/summary/#441-vs","title":"4.4.1. \u6570\u7ec4 VS \u94fe\u8868","text":"<p> Table. \u6570\u7ec4\u4e0e\u94fe\u8868\u7279\u70b9\u5bf9\u6bd4 </p> \u6570\u7ec4 \u94fe\u8868 \u5b58\u50a8\u65b9\u5f0f \u8fde\u7eed\u5185\u5b58\u7a7a\u95f4 \u79bb\u6563\u5185\u5b58\u7a7a\u95f4 \u6570\u636e\u7ed3\u6784\u957f\u5ea6 \u957f\u5ea6\u4e0d\u53ef\u53d8 \u957f\u5ea6\u53ef\u53d8 \u5185\u5b58\u4f7f\u7528\u7387 \u5360\u7528\u5185\u5b58\u5c11\u3001\u7f13\u5b58\u5c40\u90e8\u6027\u597d \u5360\u7528\u5185\u5b58\u591a \u4f18\u52bf\u64cd\u4f5c \u968f\u673a\u8bbf\u95ee \u63d2\u5165\u3001\u5220\u9664 <p>Tip</p> <p>\u300c\u7f13\u5b58\u5c40\u90e8\u6027\uff08Cache locality\uff09\u300d\u6d89\u53ca\u5230\u4e86\u8ba1\u7b97\u673a\u64cd\u4f5c\u7cfb\u7edf\uff0c\u5728\u672c\u4e66\u4e0d\u505a\u5c55\u5f00\u4ecb\u7ecd\uff0c\u5efa\u8bae\u6709\u5174\u8da3\u7684\u540c\u5b66 Google / Baidu \u4e00\u4e0b\u3002</p> <p> Table. \u6570\u7ec4\u4e0e\u94fe\u8868\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6 </p> \u64cd\u4f5c \u6570\u7ec4 \u94fe\u8868 \u8bbf\u95ee\u5143\u7d20 \\(O(1)\\) \\(O(N)\\) \u6dfb\u52a0\u5143\u7d20 \\(O(N)\\) \\(O(1)\\) \u5220\u9664\u5143\u7d20 \\(O(N)\\) \\(O(1)\\)"},{"location":"chapter_computational_complexity/performance_evaluation/","title":"2.1. \u7b97\u6cd5\u6548\u7387\u8bc4\u4f30","text":""},{"location":"chapter_computational_complexity/performance_evaluation/#211","title":"2.1.1. \u7b97\u6cd5\u8bc4\u4ef7\u7ef4\u5ea6","text":"<p>\u5728\u5f00\u59cb\u5b66\u4e60\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u4eec\u9996\u5148\u8981\u60f3\u6e05\u695a\u7b97\u6cd5\u7684\u8bbe\u8ba1\u76ee\u6807\u662f\u4ec0\u4e48\uff0c\u6216\u8005\u8bf4\uff0c\u5982\u4f55\u6765\u8bc4\u5224\u7b97\u6cd5\u7684\u597d\u4e0e\u574f\u3002\u6574\u4f53\u4e0a\u770b\uff0c\u6211\u4eec\u8bbe\u8ba1\u7b97\u6cd5\u65f6\u8ffd\u6c42\u4e24\u4e2a\u5c42\u9762\u7684\u76ee\u6807\u3002</p> <ol> <li>\u627e\u5230\u95ee\u9898\u89e3\u6cd5\u3002\u7b97\u6cd5\u9700\u8981\u80fd\u591f\u5728\u89c4\u5b9a\u7684\u8f93\u5165\u8303\u56f4\u4e0b\uff0c\u53ef\u9760\u5730\u6c42\u5f97\u95ee\u9898\u7684\u6b63\u786e\u89e3\u3002</li> <li>\u5bfb\u6c42\u6700\u4f18\u89e3\u6cd5\u3002\u540c\u4e00\u4e2a\u95ee\u9898\u53ef\u80fd\u5b58\u5728\u591a\u79cd\u89e3\u6cd5\uff0c\u800c\u6211\u4eec\u5e0c\u671b\u7b97\u6cd5\u6548\u7387\u5c3d\u53ef\u80fd\u7684\u9ad8\u3002</li> </ol> <p>\u6362\u8a00\u4e4b\uff0c\u5728\u53ef\u4ee5\u89e3\u51b3\u95ee\u9898\u7684\u524d\u63d0\u4e0b\uff0c\u7b97\u6cd5\u6548\u7387\u5219\u662f\u4e3b\u8981\u8bc4\u4ef7\u7ef4\u5ea6\uff0c\u5305\u62ec\uff1a</p> <ul> <li>\u65f6\u95f4\u6548\u7387\uff0c\u5373\u7b97\u6cd5\u7684\u8fd0\u884c\u901f\u5ea6\u7684\u5feb\u6162\u3002</li> <li>\u7a7a\u95f4\u6548\u7387\uff0c\u5373\u7b97\u6cd5\u5360\u7528\u7684\u5185\u5b58\u7a7a\u95f4\u5927\u5c0f\u3002</li> </ul> <p>\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u8ffd\u6c42\u201c\u8fd0\u884c\u901f\u5ea6\u5feb\u3001\u5360\u7528\u5185\u5b58\u5c11\u201d\uff0c\u800c\u5982\u4f55\u53bb\u8bc4\u4ef7\u7b97\u6cd5\u6548\u7387\u5219\u662f\u975e\u5e38\u91cd\u8981\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u53ea\u6709\u77e5\u9053\u5982\u4f55\u8bc4\u4ef7\u7b97\u6cd5\uff0c\u624d\u80fd\u53bb\u505a\u7b97\u6cd5\u4e4b\u95f4\u7684\u5bf9\u6bd4\u5206\u6790\uff0c\u4ee5\u53ca\u4f18\u5316\u7b97\u6cd5\u8bbe\u8ba1\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#212","title":"2.1.2. \u6548\u7387\u8bc4\u4f30\u65b9\u6cd5","text":""},{"location":"chapter_computational_complexity/performance_evaluation/#_1","title":"\u5b9e\u9645\u6d4b\u8bd5","text":"<p>\u5047\u8bbe\u6211\u4eec\u73b0\u5728\u6709\u7b97\u6cd5 A \u548c \u7b97\u6cd5 B \uff0c\u90fd\u80fd\u591f\u89e3\u51b3\u540c\u4e00\u95ee\u9898\uff0c\u73b0\u5728\u9700\u8981\u5bf9\u6bd4\u4e24\u4e2a\u7b97\u6cd5\u4e4b\u95f4\u7684\u6548\u7387\u3002\u6211\u4eec\u80fd\u591f\u60f3\u5230\u7684\u6700\u76f4\u63a5\u7684\u65b9\u5f0f\uff0c\u5c31\u662f\u627e\u4e00\u53f0\u8ba1\u7b97\u673a\uff0c\u628a\u4e24\u4e2a\u7b97\u6cd5\u90fd\u5b8c\u6574\u8dd1\u4e00\u904d\uff0c\u5e76\u76d1\u63a7\u8bb0\u5f55\u8fd0\u884c\u65f6\u95f4\u548c\u5185\u5b58\u5360\u7528\u60c5\u51b5\u3002\u8fd9\u79cd\u8bc4\u4f30\u65b9\u5f0f\u80fd\u591f\u53cd\u6620\u771f\u5b9e\u60c5\u51b5\uff0c\u4f46\u662f\u4e5f\u5b58\u5728\u5f88\u5927\u7684\u786c\u4f24\u3002</p> <p>\u96be\u4ee5\u6392\u9664\u6d4b\u8bd5\u73af\u5883\u7684\u5e72\u6270\u56e0\u7d20\u3002\u786c\u4ef6\u914d\u7f6e\u4f1a\u5f71\u54cd\u5230\u7b97\u6cd5\u7684\u6027\u80fd\u8868\u73b0\u3002\u4f8b\u5982\uff0c\u5728\u67d0\u53f0\u8ba1\u7b97\u673a\u4e2d\uff0c\u7b97\u6cd5 A \u6bd4\u7b97\u6cd5 B \u8fd0\u884c\u65f6\u95f4\u66f4\u77ed\uff1b\u4f46\u6362\u5230\u53e6\u4e00\u53f0\u914d\u7f6e\u4e0d\u540c\u7684\u8ba1\u7b97\u673a\u4e2d\uff0c\u53ef\u80fd\u4f1a\u5f97\u5230\u76f8\u53cd\u7684\u6d4b\u8bd5\u7ed3\u679c\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u9700\u8981\u5728\u5404\u79cd\u673a\u5668\u4e0a\u5c55\u5f00\u6d4b\u8bd5\uff0c\u800c\u8fd9\u662f\u4e0d\u73b0\u5b9e\u7684\u3002</p> <p>\u5c55\u5f00\u5b8c\u6574\u6d4b\u8bd5\u975e\u5e38\u8017\u8d39\u8d44\u6e90\u3002\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u7684\u5927\u5c0f\u53d8\u5316\uff0c\u7b97\u6cd5\u4f1a\u5448\u73b0\u51fa\u4e0d\u540c\u7684\u6548\u7387\u8868\u73b0\u3002\u6bd4\u5982\uff0c\u6709\u53ef\u80fd\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5c0f\u65f6\uff0c\u7b97\u6cd5 A \u8fd0\u884c\u65f6\u95f4\u77ed\u4e8e\u7b97\u6cd5 B \uff0c\u800c\u5728\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5927\u65f6\uff0c\u6d4b\u8bd5\u7ed3\u679c\u622a\u7136\u76f8\u53cd\u3002\u56e0\u6b64\uff0c\u82e5\u60f3\u8981\u8fbe\u5230\u5177\u6709\u8bf4\u670d\u529b\u7684\u5bf9\u6bd4\u7ed3\u679c\uff0c\u90a3\u4e48\u9700\u8981\u8f93\u5165\u5404\u79cd\u4f53\u91cf\u6570\u636e\uff0c\u8fd9\u6837\u7684\u6d4b\u8bd5\u9700\u8981\u5360\u7528\u5927\u91cf\u8ba1\u7b97\u8d44\u6e90\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#_2","title":"\u7406\u8bba\u4f30\u7b97","text":"<p>\u65e2\u7136\u5b9e\u9645\u6d4b\u8bd5\u5177\u6709\u5f88\u5927\u7684\u5c40\u9650\u6027\uff0c\u90a3\u4e48\u6211\u4eec\u662f\u5426\u53ef\u4ee5\u4ec5\u901a\u8fc7\u4e00\u4e9b\u8ba1\u7b97\uff0c\u5c31\u83b7\u77e5\u7b97\u6cd5\u7684\u6548\u7387\u6c34\u5e73\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u6211\u4eec\u5c06\u6b64\u4f30\u7b97\u65b9\u6cd5\u79f0\u4e3a\u300c\u590d\u6742\u5ea6\u5206\u6790 Complexity Analysis\u300d\u6216\u300c\u6e10\u8fd1\u590d\u6742\u5ea6\u5206\u6790 Asymptotic Complexity Analysis\u300d\u3002</p> <p>\u590d\u6742\u5ea6\u5206\u6790\u8bc4\u4f30\u7684\u662f\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u589e\u591a\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002\u8fd9\u53e5\u8bdd\u6709\u4e9b\u62d7\u53e3\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5206\u4e3a\u4e09\u4e2a\u91cd\u70b9\u6765\u7406\u89e3\uff1a</p> <ul> <li>\u201c\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u201d\u53ef\u5206\u4e3a\u201c\u8fd0\u884c\u65f6\u95f4\u201d\u548c\u201c\u5360\u7528\u7a7a\u95f4\u201d\uff0c\u8fdb\u800c\u53ef\u5c06\u590d\u6742\u5ea6\u5206\u4e3a\u300c\u65f6\u95f4\u590d\u6742\u5ea6 Time Complexity\u300d\u548c\u300c\u7a7a\u95f4\u590d\u6742\u5ea6 Space Complexity\u300d\u3002</li> <li>\u201c\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u589e\u591a\u65f6\u201d\u4ee3\u8868\u590d\u6742\u5ea6\u4e0e\u8f93\u5165\u6570\u636e\u91cf\u6709\u5173\uff0c\u53cd\u6620\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u4e0e\u8f93\u5165\u6570\u636e\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff1b</li> <li>\u201c\u589e\u957f\u8d8b\u52bf\u201d\u8868\u793a\u590d\u6742\u5ea6\u5206\u6790\u4e0d\u5173\u5fc3\u7b97\u6cd5\u5177\u4f53\u4f7f\u7528\u4e86\u591a\u5c11\u65f6\u95f4\u6216\u5360\u7528\u4e86\u591a\u5c11\u7a7a\u95f4\uff0c\u800c\u662f\u7ed9\u51fa\u4e00\u79cd\u201c\u8d8b\u52bf\u6027\u5206\u6790\u201d\uff1b</li> </ul> <p>\u590d\u6742\u5ea6\u5206\u6790\u514b\u670d\u4e86\u5b9e\u9645\u6d4b\u8bd5\u65b9\u6cd5\u7684\u5f0a\u7aef\u3002\u4e00\u662f\u72ec\u7acb\u4e8e\u6d4b\u8bd5\u73af\u5883\uff0c\u5206\u6790\u7ed3\u679c\u9002\u7528\u4e8e\u6240\u6709\u8fd0\u884c\u5e73\u53f0\u3002\u4e8c\u662f\u53ef\u4ee5\u4f53\u73b0\u4e0d\u540c\u6570\u636e\u91cf\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\uff0c\u5c24\u5176\u662f\u53ef\u4ee5\u53cd\u6620\u5927\u6570\u636e\u91cf\u4e0b\u7684\u7b97\u6cd5\u6027\u80fd\u3002</p> <p>\u5982\u679c\u611f\u89c9\u5bf9\u590d\u6742\u5ea6\u5206\u6790\u7684\u6982\u5ff5\u4e00\u77e5\u534a\u89e3\uff0c\u65e0\u9700\u62c5\u5fc3\uff0c\u540e\u7eed\u7ae0\u8282\u4f1a\u5c55\u5f00\u4ecb\u7ecd\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#213","title":"2.1.3. \u590d\u6742\u5ea6\u5206\u6790\u91cd\u8981\u6027","text":"<p>\u590d\u6742\u5ea6\u5206\u6790\u7ed9\u51fa\u4e00\u628a\u8bc4\u4ef7\u7b97\u6cd5\u6548\u7387\u7684\u201c\u6807\u5c3a\u201d\uff0c\u544a\u8bc9\u6211\u4eec\u6267\u884c\u67d0\u4e2a\u7b97\u6cd5\u9700\u8981\u591a\u5c11\u65f6\u95f4\u548c\u7a7a\u95f4\u8d44\u6e90\uff0c\u4e5f\u8ba9\u6211\u4eec\u53ef\u4ee5\u5f00\u5c55\u4e0d\u540c\u7b97\u6cd5\u4e4b\u95f4\u7684\u6548\u7387\u5bf9\u6bd4\u3002</p> <p>\u8ba1\u7b97\u590d\u6742\u5ea6\u662f\u4e2a\u6570\u5b66\u6982\u5ff5\uff0c\u5bf9\u4e8e\u521d\u5b66\u8005\u53ef\u80fd\u6bd4\u8f83\u62bd\u8c61\uff0c\u5b66\u4e60\u96be\u5ea6\u76f8\u5bf9\u8f83\u9ad8\u3002\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u51fa\u53d1\uff0c\u5176\u5e76\u4e0d\u9002\u5408\u4f5c\u4e3a\u7b2c\u4e00\u7ae0\u5185\u5bb9\u3002\u4f46\u662f\uff0c\u5f53\u6211\u4eec\u8ba8\u8bba\u67d0\u4e2a\u6570\u636e\u7ed3\u6784\u6216\u8005\u7b97\u6cd5\u7684\u7279\u70b9\u65f6\uff0c\u96be\u4ee5\u907f\u514d\u9700\u8981\u5206\u6790\u5b83\u7684\u8fd0\u884c\u901f\u5ea6\u548c\u7a7a\u95f4\u4f7f\u7528\u60c5\u51b5\u3002\u56e0\u6b64\uff0c\u5728\u5c55\u5f00\u5b66\u4e60\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u4e4b\u524d\uff0c\u5efa\u8bae\u8bfb\u8005\u5148\u5bf9\u8ba1\u7b97\u590d\u6742\u5ea6\u5efa\u7acb\u8d77\u521d\u6b65\u7684\u4e86\u89e3\uff0c\u5e76\u4e14\u80fd\u591f\u5b8c\u6210\u7b80\u5355\u6848\u4f8b\u7684\u590d\u6742\u5ea6\u5206\u6790\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/","title":"2.3. \u7a7a\u95f4\u590d\u6742\u5ea6","text":"<p>\u300c\u7a7a\u95f4\u590d\u6742\u5ea6 Space Complexity\u300d\u7edf\u8ba1 \u7b97\u6cd5\u4f7f\u7528\u5185\u5b58\u7a7a\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002\u8fd9\u4e2a\u6982\u5ff5\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u5f88\u7c7b\u4f3c\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/#231","title":"2.3.1. \u7b97\u6cd5\u76f8\u5173\u7a7a\u95f4","text":"<p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\uff0c\u4f7f\u7528\u7684\u5185\u5b58\u7a7a\u95f4\u4e3b\u8981\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a</p> <ul> <li>\u300c\u8f93\u5165\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u7684\u8f93\u5165\u6570\u636e\uff1b</li> <li>\u300c\u6682\u5b58\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u53d8\u91cf\u3001\u5bf9\u8c61\u3001\u51fd\u6570\u4e0a\u4e0b\u6587\u7b49\u6570\u636e\uff1b</li> <li>\u300c\u8f93\u51fa\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u7684\u8f93\u51fa\u6570\u636e\uff1b</li> </ul> <p>Tip</p> <p>\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u7edf\u8ba1\u8303\u56f4\u662f\u300c\u6682\u5b58\u7a7a\u95f4\u300d+\u300c\u8f93\u51fa\u7a7a\u95f4\u300d\u3002</p> <p>\u6682\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u4e09\u4e2a\u90e8\u5206\uff1a</p> <ul> <li>\u300c\u6682\u5b58\u6570\u636e\u300d\u7528\u4e8e\u4fdd\u5b58\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u5404\u79cd \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61 \u7b49\u3002</li> <li>\u300c\u6808\u5e27\u7a7a\u95f4\u300d\u7528\u4e8e\u4fdd\u5b58\u8c03\u7528\u51fd\u6570\u7684\u4e0a\u4e0b\u6587\u6570\u636e\u3002\u7cfb\u7edf\u6bcf\u6b21\u8c03\u7528\u51fd\u6570\u90fd\u4f1a\u5728\u6808\u7684\u9876\u90e8\u521b\u5efa\u4e00\u4e2a\u6808\u5e27\uff0c\u51fd\u6570\u8fd4\u56de\u65f6\uff0c\u6808\u5e27\u7a7a\u95f4\u4f1a\u88ab\u91ca\u653e\u3002</li> <li>\u300c\u6307\u4ee4\u7a7a\u95f4\u300d\u7528\u4e8e\u4fdd\u5b58\u7f16\u8bd1\u540e\u7684\u7a0b\u5e8f\u6307\u4ee4\uff0c\u5728\u5b9e\u9645\u7edf\u8ba1\u4e2d\u4e00\u822c\u5ffd\u7565\u4e0d\u8ba1\u3002</li> </ul> <p></p> <p> Fig. \u7b97\u6cd5\u4f7f\u7528\u7684\u76f8\u5173\u7a7a\u95f4 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u7c7b */\nclass Node {\nint val;\nNode next;\nNode(int x) { val = x; }\n}\n/* \u51fd\u6570 */\nint function() {\n// do something...\nreturn 0;\n}\nint algorithm(int n) {        // \u8f93\u5165\u6570\u636e\nfinal int a = 0;          // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = function();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7ed3\u6784\u4f53 */\nstruct Node {\nint val;\nNode *next;\nNode(int x) : val(x), next(nullptr) {}\n};\n/* \u51fd\u6570 */\nint func() {\n// do something...\nreturn 0;\n}\nint algorithm(int n) {        // \u8f93\u5165\u6570\u636e\nconst int a = 0;          // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode* node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = func();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\"\"\" \u7c7b \"\"\"\nclass Node:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n\"\"\" \u51fd\u6570 \"\"\"\ndef function():\n# do something...\nreturn 0\ndef algorithm(n):     # \u8f93\u5165\u6570\u636e\nb = 0             # \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nnode = Node(0)    # \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nc = function()    # \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c  # \u8f93\u51fa\u6570\u636e\n</code></pre> <pre><code>/* \u7ed3\u6784\u4f53 */\ntype node struct {\nval  int\nnext *node\n}\n/* \u521b\u5efa node \u7ed3\u6784\u4f53  */\nfunc newNode(val int) *node {\nreturn &amp;node{val: val}\n}\n/* \u51fd\u6570 */\nfunc function() int {\n// do something...\nreturn 0\n}\nfunc algorithm(n int) int { // \u8f93\u5165\u6570\u636e\nconst a = 0             // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nb := 0                  // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nnewNode(0)              // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nc := function()         // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c        // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nval;\nnext;\nconstructor(val) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.next = null;                       // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n/* \u51fd\u6570 */\nfunction constFunc() {\n// do something\nreturn 0;\n}\nfunction algorithm(n) {       // \u8f93\u5165\u6570\u636e\nconst a = 0;              // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nconst b = 0;              // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nconst node = new Node(0); // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nconst c = constFunc();    // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nval: number;\nnext: Node | null;\nconstructor(val?: number) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.next = null;                       // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n/* \u51fd\u6570 */\nfunction constFunc(): number {\n// do something\nreturn 0;\n}\nfunction algorithm(n: number): number { // \u8f93\u5165\u6570\u636e\nconst a = 0;                        // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nconst b = 0;                        // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nconst node = new Node(0);           // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nconst c = constFunc();              // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;                   // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u7c7b */\nclass Node\n{\nint val;\nNode next;\nNode(int x) { val = x; }\n}\n/* \u51fd\u6570 */\nint function()\n{\n// do something...\nreturn 0;\n}\nint algorithm(int n)          // \u8f93\u5165\u6570\u636e\n{\nint a = 0;                // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = function();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nvar val: Int\nvar next: Node?\ninit(x: Int) {\nval = x\n}\n}\n/* \u51fd\u6570 */\nfunc function() -&gt; Int {\n// do something...\nreturn 0\n}\nfunc algorithm(n: Int) -&gt; Int { // \u8f93\u5165\u6570\u636e\nlet a = 0 // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nvar b = 0 // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nlet node = Node(x: 0) // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nlet c = function() // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#232","title":"2.3.2. \u63a8\u7b97\u65b9\u6cd5","text":"<p>\u7a7a\u95f4\u590d\u6742\u5ea6\u7684\u63a8\u7b97\u65b9\u6cd5\u548c\u65f6\u95f4\u590d\u6742\u5ea6\u603b\u4f53\u7c7b\u4f3c\uff0c\u53ea\u662f\u4ece\u7edf\u8ba1\u201c\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\u201d\u53d8\u4e3a\u7edf\u8ba1\u201c\u4f7f\u7528\u7a7a\u95f4\u5927\u5c0f\u201d\u3002\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u540c\u7684\u662f\uff0c\u6211\u4eec\u4e00\u822c\u53ea\u5173\u6ce8\u300c\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\u3002\u8fd9\u662f\u56e0\u4e3a\u5185\u5b58\u7a7a\u95f4\u662f\u4e00\u4e2a\u786c\u6027\u8981\u6c42\uff0c\u6211\u4eec\u5fc5\u987b\u4fdd\u8bc1\u5728\u6240\u6709\u8f93\u5165\u6570\u636e\u4e0b\u90fd\u6709\u8db3\u591f\u7684\u5185\u5b58\u7a7a\u95f4\u9884\u7559\u3002</p> <p>\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e2d\u7684\u201c\u6700\u5dee\u201d\u6709\u4e24\u5c42\u542b\u4e49\uff0c\u5206\u522b\u4e3a\u8f93\u5165\u6570\u636e\u7684\u6700\u5dee\u5206\u5e03\u3001\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u6700\u5dee\u65f6\u95f4\u70b9\u3002</p> <ul> <li>\u4ee5\u6700\u5dee\u8f93\u5165\u6570\u636e\u4e3a\u51c6\u3002\u5f53 \\(n &lt; 10\\) \u65f6\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff1b\u4f46\u662f\u5f53 \\(n &gt; 10\\) \u65f6\uff0c\u521d\u59cb\u5316\u7684\u6570\u7ec4 <code>nums</code> \u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\uff1b\u56e0\u6b64\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff1b</li> <li>\u4ee5\u7b97\u6cd5\u8fd0\u884c\u8fc7\u7a0b\u4e2d\u7684\u5cf0\u503c\u5185\u5b58\u4e3a\u51c6\u3002\u7a0b\u5e8f\u5728\u6267\u884c\u6700\u540e\u4e00\u884c\u4e4b\u524d\uff0c\u4f7f\u7528 \\(O(1)\\) \u7a7a\u95f4\uff1b\u5f53\u521d\u59cb\u5316\u6570\u7ec4 <code>nums</code> \u65f6\uff0c\u7a0b\u5e8f\u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\uff1b\u56e0\u6b64\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff1b</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 0;                   // O(1)\nint[] b = new int[10000];    // O(1)\nif (n &gt; 10)\nint[] nums = new int[n]; // O(n)\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 0;               // O(1)\nvector&lt;int&gt; b(10000);    // O(1)\nif (n &gt; 10)\nvector&lt;int&gt; nums(n); // O(n)\n}\n</code></pre> <pre><code>def algorithm(n):\na = 0               # O(1)\nb = [0] * 10000     # O(1)\nif n &gt; 10:\nnums = [0] * n  # O(n)\n</code></pre> <pre><code>func algorithm(n int) {\na := 0                      // O(1)\nb := make([]int, 10000)     // O(1)\nvar nums []int\nif n &gt; 10 {\nnums := make([]int, n)  // O(n)\n}\nfmt.Println(a, b, nums)\n}\n</code></pre> <pre><code>function algorithm(n) {\nconst a = 0;                   // O(1)\nconst b = new Array(10000);    // O(1)\nif (n &gt; 10) {\nconst nums = new Array(n); // O(n)\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void {\nconst a = 0;                   // O(1)\nconst b = new Array(10000);    // O(1)\nif (n &gt; 10) {\nconst nums = new Array(n); // O(n)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>void algorithm(int n)\n{\nint a = 0;                   // O(1)\nint[] b = new int[10000];    // O(1)\nif (n &gt; 10)\n{\nint[] nums = new int[n]; // O(n)\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nlet a = 0 // O(1)\nlet b = Array(repeating: 0, count: 10000) // O(1)\nif n &gt; 10 {\nlet nums = Array(repeating: 0, count: n) // O(n)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u5728\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u9700\u8981\u6ce8\u610f\u7edf\u8ba1\u6808\u5e27\u7a7a\u95f4\u3002\u4f8b\u5982\u51fd\u6570 <code>loop()</code>\uff0c\u5728\u5faa\u73af\u4e2d\u8c03\u7528\u4e86 \\(n\\) \u6b21 <code>function()</code> \uff0c\u6bcf\u8f6e\u4e2d\u7684 <code>function()</code> \u90fd\u8fd4\u56de\u5e76\u91ca\u653e\u4e86\u6808\u5e27\u7a7a\u95f4\uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(1)\\) \u3002\u800c\u9012\u5f52\u51fd\u6570 <code>recur()</code> \u5728\u8fd0\u884c\u4e2d\u4f1a\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>recur()</code> \uff0c\u4ece\u800c\u4f7f\u7528 \\(O(n)\\) \u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>int function() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n) {\nfor (int i = 0; i &lt; n; i++) {\nfunction();\n}\n}\n/* \u9012\u5f52 O(n) */\nvoid recur(int n) {\nif (n == 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>int func() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n) {\nfor (int i = 0; i &lt; n; i++) {\nfunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nvoid recur(int n) {\nif (n == 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>def function():\n# do something\nreturn 0\n\"\"\" \u5faa\u73af O(1) \"\"\"\ndef loop(n):\nfor _ in range(n):\nfunction()\n\"\"\" \u9012\u5f52 O(n) \"\"\"\ndef recur(n):\nif n == 1: return\nreturn recur(n - 1)\n</code></pre> <pre><code>func function() int {\n// do something\nreturn 0\n}\n/* \u5faa\u73af O(1) */\nfunc loop(n int) {\nfor i := 0; i &lt; n; i++ {\nfunction()\n}\n}\n/* \u9012\u5f52 O(n) */\nfunc recur(n int) {\nif n == 1 {\nreturn\n}\nrecur(n - 1)\n}\n</code></pre> <pre><code>function constFunc() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nfunction loop(n) {\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nfunction recur(n) {\nif (n === 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>function constFunc(): number {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nfunction loop(n: number): void {\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nfunction recur(n: number): void {\nif (n === 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>int function()\n{\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n)\n{\nfor (int i = 0; i &lt; n; i++)\n{\nfunction();\n}\n}\n/* \u9012\u5f52 O(n) */\nint recur(int n)\n{\nif (n == 1) return 1;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>@discardableResult\nfunc function() -&gt; Int {\n// do something\nreturn 0\n}\n/* \u5faa\u73af O(1) */\nfunc loop(n: Int) {\nfor _ in 0 ..&lt; n {\nfunction()\n}\n}\n/* \u9012\u5f52 O(n) */\nfunc recur(n: Int) {\nif n == 1 {\nreturn\n}\nrecur(n: n - 1)\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#233","title":"2.3.3. \u5e38\u89c1\u7c7b\u578b","text":"<p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u5e38\u89c1\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u7c7b\u578b\u6709\uff08\u4ece\u4f4e\u5230\u9ad8\u6392\u5217\uff09</p> \\[ \\begin{aligned} O(1) &lt; O(\\log n) &lt; O(n) &lt; O(n^2) &lt; O(2^n) \\newline \\text{\u5e38\u6570\u9636} &lt; \\text{\u5bf9\u6570\u9636} &lt; \\text{\u7ebf\u6027\u9636} &lt; \\text{\u5e73\u65b9\u9636} &lt; \\text{\u6307\u6570\u9636} \\end{aligned} \\] <p></p> <p> Fig. \u7a7a\u95f4\u590d\u6742\u5ea6\u7684\u5e38\u89c1\u7c7b\u578b </p> <p>Tip</p> <p>\u90e8\u5206\u793a\u4f8b\u4ee3\u7801\u9700\u8981\u4e00\u4e9b\u524d\u7f6e\u77e5\u8bc6\uff0c\u5305\u62ec\u6570\u7ec4\u3001\u94fe\u8868\u3001\u4e8c\u53c9\u6811\u3001\u9012\u5f52\u7b97\u6cd5\u7b49\u3002\u5982\u679c\u9047\u5230\u770b\u4e0d\u61c2\u7684\u5730\u65b9\u65e0\u9700\u62c5\u5fc3\uff0c\u53ef\u4ee5\u5728\u5b66\u4e60\u5b8c\u540e\u9762\u7ae0\u8282\u540e\u518d\u6765\u590d\u4e60\uff0c\u73b0\u9636\u6bb5\u5148\u805a\u7126\u5728\u7406\u89e3\u7a7a\u95f4\u590d\u6742\u5ea6\u542b\u4e49\u548c\u63a8\u7b97\u65b9\u6cd5\u4e0a\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/#o1","title":"\u5e38\u6570\u9636 \\(O(1)\\)","text":"<p>\u5e38\u6570\u9636\u5e38\u89c1\u4e8e\u6570\u91cf\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\u7684\u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u3002</p> <p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5728\u5faa\u73af\u4e2d\u521d\u59cb\u5316\u53d8\u91cf\u6216\u8c03\u7528\u51fd\u6570\u800c\u5360\u7528\u7684\u5185\u5b58\uff0c\u5728\u8fdb\u5165\u4e0b\u4e00\u5faa\u73af\u540e\u5c31\u4f1a\u88ab\u91ca\u653e\uff0c\u5373\u4e0d\u4f1a\u7d2f\u79ef\u5360\u7528\u7a7a\u95f4\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(1)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nfinal int a = 0;\nint b = 0;\nint[] nums = new int[10000];\nListNode node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nfunction();\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst int a = 0;\nint b = 0;\nvector&lt;int&gt; nums(10000);\nListNode node(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nfunc();\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e38\u6570\u9636 \"\"\"\ndef constant(n):\n# \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\na = 0\nnums = [0] * 10000\nnode = ListNode(0)\n# \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in range(n):\nc = 0\n# \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in range(n):\nfunction()\n</code></pre> space_complexity.go<pre><code>/* \u5e38\u6570\u9636 */\nfunc spaceConstant(n int) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0\nb := 0\nnums := make([]int, 10000)\nListNode := newNode(0)\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nvar c int\nfor i := 0; i &lt; n; i++ {\nc = 0\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor i := 0; i &lt; n; i++ {\nfunction()\n}\nfmt.Println(a, b, nums, c, ListNode)\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0;\nconst b = 0;\nconst nums = new Array(10000);\nconst node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconst c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n: number): void {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0;\nconst b = 0;\nconst nums = new Array(10000);\nconst node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconst c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceConstant}\n</code></pre> space_complexity.cs<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n)\n{\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nint a = 0;\nint b = 0;\nint[] nums = new int[10000];\nListNode node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++)\n{\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++)\n{\nfunction();\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n: Int) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nlet a = 0\nvar b = 0\nlet nums = Array(repeating: 0, count: 10000)\nlet node = ListNode(x: 0)\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in 0 ..&lt; n {\nlet c = 0\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in 0 ..&lt; n {\nfunction()\n}\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e38\u6570\u9636\nfn constant(n: i32) void {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a: i32 = 0;\nvar b: i32 = 0;\nvar nums = [_]i32{0}**10000;\nvar node = inc.ListNode(i32){.val = 0};\nvar i: i32 = 0;\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nwhile (i &lt; n) : (i += 1) {\nvar c: i32 = 0;\n_ = c;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\ni = 0;\nwhile (i &lt; n) : (i += 1) {\n_ = function();\n}\n_ = a;\n_ = b;\n_ = nums;\n_ = node;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#on","title":"\u7ebf\u6027\u9636 \\(O(n)\\)","text":"<p>\u7ebf\u6027\u9636\u5e38\u89c1\u4e8e\u5143\u7d20\u6570\u91cf\u4e0e \\(n\\) \u6210\u6b63\u6bd4\u7684\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u7b49\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nint[] nums = new int[n];\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nList&lt;ListNode&gt; nodes = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nnodes.add(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nMap&lt;Integer, String&gt; map = new HashMap&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nmap.put(i, String.valueOf(i));\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nvector&lt;int&gt; nums(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvector&lt;ListNode&gt; nodes;\nfor (int i = 0; i &lt; n; i++) {\nnodes.push_back(ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nunordered_map&lt;int, string&gt; map;\nfor (int i = 0; i &lt; n; i++) {\nmap[i] = to_string(i);\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636 \"\"\"\ndef linear(n):\n# \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nnums = [0] * n\n# \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nmapp = {}\nfor i in range(n):\nmapp[i] = str(i)\n</code></pre> space_complexity.go<pre><code>/* \u7ebf\u6027\u9636 */\nfunc spaceLinear(n int) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\n_ = make([]int, n)\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar nodes []*node\nfor i := 0; i &lt; n; i++ {\nnodes = append(nodes, newNode(i))\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nm := make(map[int]string, n)\nfor i := 0; i &lt; n; i++ {\nm[i] = strconv.Itoa(i)\n}\n}\n</code></pre> space_complexity.js<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nconst nums = new Array(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst nodes = [];\nfor (let i = 0; i &lt; n; i++) {\nnodes.push(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst map = new Map();\nfor (let i = 0; i &lt; n; i++) {\nmap.set(i, i.toString());\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n: number): void {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nconst nums = new Array(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst nodes: ListNode[] = [];\nfor (let i = 0; i &lt; n; i++) {\nnodes.push(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst map = new Map();\nfor (let i = 0; i &lt; n; i++) {\nmap.set(i, i.toString());\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceLinear}\n</code></pre> space_complexity.cs<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n)\n{\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nint[] nums = new int[n];\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nList&lt;ListNode&gt; nodes = new();\nfor (int i = 0; i &lt; n; i++)\n{\nnodes.Add(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nDictionary&lt;int, String&gt; map = new();\nfor (int i = 0; i &lt; n; i++)\n{\nmap.Add(i, i.ToString());\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n: Int) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nlet nums = Array(repeating: 0, count: n)\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nlet nodes = (0 ..&lt; n).map { ListNode(x: $0) }\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nlet map = Dictionary(uniqueKeysWithValues: (0 ..&lt; n).map { ($0, \"\\($0)\") })\n}\n</code></pre> space_complexity.zig<pre><code>// \u7ebf\u6027\u9636\nfn linear(comptime n: i32) !void {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nvar nums = [_]i32{0}**n;\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar nodes = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer nodes.deinit();\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\ntry nodes.append(i);\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar map = std.AutoArrayHashMap(i32, []const u8).init(std.heap.page_allocator);\ndefer map.deinit();\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\nconst string = try std.fmt.allocPrint(std.heap.page_allocator, \"{d}\", .{j});\ndefer std.heap.page_allocator.free(string);\ntry map.put(i, string);\n}\n_ = nums;\n}\n</code></pre> <p>\u4ee5\u4e0b\u9012\u5f52\u51fd\u6570\u4f1a\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>algorithm()</code> \u51fd\u6570\uff0c\u4f7f\u7528 \\(O(n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n) {\nSystem.out.println(\"\u9012\u5f52 n = \" + n);\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n) {\ncout &lt;&lt; \"\u9012\u5f52 n = \" &lt;&lt; n &lt;&lt; endl;\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 \"\"\"\ndef linear_recur(n):\nprint(\"\u9012\u5f52 n =\", n)\nif n == 1: return\nlinear_recur(n - 1)\n</code></pre> space_complexity.go<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc spaceLinearRecur(n int) {\nfmt.Println(\"\u9012\u5f52 n =\", n)\nif n == 1 {\nreturn\n}\nspaceLinearRecur(n - 1)\n}\n</code></pre> space_complexity.js<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction linearRecur(n) {\nconsole.log(`\u9012\u5f52 n = ${n}`);\nif (n === 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.ts<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction linearRecur(n: number): void {\nconsole.log(`\u9012\u5f52 n = ${n}`);\nif (n === 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceLinearRecur}\n</code></pre> space_complexity.cs<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n)\n{\nConsole.WriteLine(\"\u9012\u5f52 n = \" + n);\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.swift<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc linearRecur(n: Int) {\nprint(\"\u9012\u5f52 n = \\(n)\")\nif n == 1 {\nreturn\n}\nlinearRecur(n: n - 1)\n}\n</code></pre> space_complexity.zig<pre><code>// \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn linearRecur(comptime n: i32) void {\nstd.debug.print(\"\u9012\u5f52 n = {}\\n\", .{n});\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> <p></p> <p> Fig. \u9012\u5f52\u51fd\u6570\u4ea7\u751f\u7684\u7ebf\u6027\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#on2","title":"\u5e73\u65b9\u9636 \\(O(n^2)\\)","text":"<p>\u5e73\u65b9\u9636\u5e38\u89c1\u4e8e\u5143\u7d20\u6570\u91cf\u4e0e \\(n\\) \u6210\u5e73\u65b9\u5173\u7cfb\u7684\u77e9\u9635\u3001\u56fe\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nint[][] numMatrix = new int[n][n];\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nList&lt;List&lt;Integer&gt;&gt; numList = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nList&lt;Integer&gt; tmp = new ArrayList&lt;&gt;();\nfor (int j = 0; j &lt; n; j++) {\ntmp.add(0);\n}\nnumList.add(tmp);\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n) {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nvector&lt;vector&lt;int&gt;&gt; numMatrix;\nfor (int i = 0; i &lt; n; i++) {\nvector&lt;int&gt; tmp;\nfor (int j = 0; j &lt; n; j++) {\ntmp.push_back(0);\n}\nnumMatrix.push_back(tmp);\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636 \"\"\"\ndef quadratic(n):\n# \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nnum_matrix = [[0] * n for _ in range(n)]\n</code></pre> space_complexity.go<pre><code>/* \u5e73\u65b9\u9636 */\nfunc spaceQuadratic(n int) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nnumMatrix := make([][]int, n)\nfor i := 0; i &lt; n; i++ {\nnumMatrix[i] = make([]int, n)\n}\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numMatrix = Array(n).fill(null).map(() =&gt; Array(n).fill(null));\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numList = [];\nfor (let i = 0; i &lt; n; i++) {\nconst tmp = [];\nfor (let j = 0; j &lt; n; j++) {\ntmp.push(0);\n}\nnumList.push(tmp);\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n: number): void {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numMatrix = Array(n).fill(null).map(() =&gt; Array(n).fill(null));\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numList = [];\nfor (let i = 0; i &lt; n; i++) {\nconst tmp = [];\nfor (let j = 0; j &lt; n; j++) {\ntmp.push(0);\n}\nnumList.push(tmp);\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceQuadratic}\n</code></pre> space_complexity.cs<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n)\n{\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nint[,] numMatrix = new int[n, n];\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nList&lt;List&lt;int&gt;&gt; numList = new();\nfor (int i = 0; i &lt; n; i++)\n{\nList&lt;int&gt; tmp = new();\nfor (int j = 0; j &lt; n; j++)\n{\ntmp.Add(0);\n}\nnumList.Add(tmp);\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n: Int) {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nlet numList = Array(repeating: Array(repeating: 0, count: n), count: n)\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e73\u65b9\u9636\nfn quadratic(n: i32) !void {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nvar nodes = std.ArrayList(std.ArrayList(i32)).init(std.heap.page_allocator);\ndefer nodes.deinit();\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\nvar tmp = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer tmp.deinit();\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\ntry tmp.append(0);\n}\ntry nodes.append(tmp);\n}\n}\n</code></pre> <p>\u5728\u4ee5\u4e0b\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>algorithm()</code> \uff0c\u5e76\u4e14\u6bcf\u4e2a\u51fd\u6570\u4e2d\u90fd\u521d\u59cb\u5316\u4e86\u4e00\u4e2a\u6570\u7ec4\uff0c\u957f\u5ea6\u5206\u522b\u4e3a \\(n, n-1, n-2, ..., 2, 1\\) \uff0c\u5e73\u5747\u957f\u5ea6\u4e3a \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u603b\u4f53\u4f7f\u7528 \\(O(n^2)\\) \u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n) {\nif (n &lt;= 0) return 0;\n// \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nint[] nums = new int[n];\nSystem.out.println(\"\u9012\u5f52 n = \" + n + \" \u4e2d\u7684 nums \u957f\u5ea6 = \" + nums.length);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n) {\nif (n &lt;= 0) return 0;\nvector&lt;int&gt; nums(n);\ncout &lt;&lt; \"\u9012\u5f52 n = \" &lt;&lt; n &lt;&lt; \" \u4e2d\u7684 nums \u957f\u5ea6 = \" &lt;&lt; nums.size() &lt;&lt; endl;\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 \"\"\"\ndef quadratic_recur(n):\nif n &lt;= 0: return 0\n# \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nnums = [0] * n\nreturn quadratic_recur(n - 1)\n</code></pre> space_complexity.go<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc spaceQuadraticRecur(n int) int {\nif n &lt;= 0 {\nreturn 0\n}\nnums := make([]int, n)\nfmt.Printf(\"\u9012\u5f52 n = %d \u4e2d\u7684 nums \u957f\u5ea6 = %d \\n\", n, len(nums))\nreturn spaceQuadraticRecur(n - 1)\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction quadraticRecur(n) {\nif (n &lt;= 0) return 0;\nconst nums = new Array(n);\nconsole.log(`\u9012\u5f52 n = ${n} \u4e2d\u7684 nums \u957f\u5ea6 = ${nums.length}`);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction quadraticRecur(n: number): number {\nif (n &lt;= 0) return 0;\nconst nums = new Array(n);\nconsole.log(`\u9012\u5f52 n = ${n} \u4e2d\u7684 nums \u957f\u5ea6 = ${nums.length}`);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceQuadraticRecur}\n</code></pre> space_complexity.cs<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n)\n{\nif (n &lt;= 0) return 0;\nint[] nums = new int[n];\nConsole.WriteLine(\"\u9012\u5f52 n = \" + n + \" \u4e2d\u7684 nums \u957f\u5ea6 = \" + nums.Length);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\n@discardableResult\nfunc quadraticRecur(n: Int) -&gt; Int {\nif n &lt;= 0 {\nreturn 0\n}\n// \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nlet nums = Array(repeating: 0, count: n)\nprint(\"\u9012\u5f52 n = \\(n) \u4e2d\u7684 nums \u957f\u5ea6 = \\(nums.count)\")\nreturn quadraticRecur(n: n - 1)\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn quadraticRecur(comptime n: i32) i32 {\nif (n &lt;= 0) return 0;\nvar nums = [_]i32{0}**n;\nstd.debug.print(\"\u9012\u5f52 n = {} \u4e2d\u7684 nums \u957f\u5ea6 = {}\\n\", .{n, nums.len});\nreturn quadraticRecur(n - 1);\n}\n</code></pre> <p></p> <p> Fig. \u9012\u5f52\u51fd\u6570\u4ea7\u751f\u7684\u5e73\u65b9\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#o2n","title":"\u6307\u6570\u9636 \\(O(2^n)\\)","text":"<p>\u6307\u6570\u9636\u5e38\u89c1\u4e8e\u4e8c\u53c9\u6811\u3002\u9ad8\u5ea6\u4e3a \\(n\\) \u7684\u300c\u6ee1\u4e8c\u53c9\u6811\u300d\u7684\u7ed3\u70b9\u6570\u91cf\u4e3a \\(2^n - 1\\) \uff0c\u4f7f\u7528 \\(O(2^n)\\) \u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode buildTree(int n) {\nif (n == 0) return null;\nTreeNode root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode* buildTree(int n) {\nif (n == 0) return nullptr;\nTreeNode* root = new TreeNode(0);\nroot-&gt;left = buildTree(n - 1);\nroot-&gt;right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 \"\"\"\ndef build_tree(n):\nif n == 0: return None\nroot = TreeNode(0)\nroot.left = build_tree(n - 1)\nroot.right = build_tree(n - 1)\nreturn root\n</code></pre> space_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunc buildTree(n int) *treeNode {\nif n == 0 {\nreturn nil\n}\nroot := newTreeNode(0)\nroot.left = buildTree(n - 1)\nroot.right = buildTree(n - 1)\nreturn root\n}\n</code></pre> space_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunction buildTree(n) {\nif (n === 0) return null;\nconst root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunction buildTree(n: number): TreeNode | null {\nif (n === 0) return null;\nconst root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{buildTree}\n</code></pre> space_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode? buildTree(int n)\n{\nif (n == 0) return null;\nTreeNode root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunc buildTree(n: Int) -&gt; TreeNode? {\nif n == 0 {\nreturn nil\n}\nlet root = TreeNode(x: 0)\nroot.left = buildTree(n: n - 1)\nroot.right = buildTree(n: n - 1)\nreturn root\n}\n</code></pre> space_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09\nfn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) {\nif (n == 0) return null;\nconst root = try mem_allocator.create(inc.TreeNode(i32));\nroot.init(0);\nroot.left = try buildTree(mem_allocator, n - 1);\nroot.right = try buildTree(mem_allocator, n - 1);\nreturn root;\n}\n</code></pre> <p></p> <p> Fig. \u6ee1\u4e8c\u53c9\u6811\u4e0b\u7684\u6307\u6570\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#olog-n","title":"\u5bf9\u6570\u9636 \\(O(\\log n)\\)","text":"<p>\u5bf9\u6570\u9636\u5e38\u89c1\u4e8e\u5206\u6cbb\u7b97\u6cd5\u3001\u6570\u636e\u7c7b\u578b\u8f6c\u6362\u7b49\u3002</p> <p>\u4f8b\u5982\u300c\u5f52\u5e76\u6392\u5e8f\u300d\uff0c\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6570\u7ec4\u53ef\u4ee5\u5f62\u6210\u9ad8\u5ea6\u4e3a \\(\\log n\\) \u7684\u9012\u5f52\u6811\uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> <p>\u518d\u4f8b\u5982\u300c\u6570\u5b57\u8f6c\u5316\u4e3a\u5b57\u7b26\u4e32\u300d\uff0c\u8f93\u5165\u4efb\u610f\u6b63\u6574\u6570 \\(n\\) \uff0c\u5b83\u7684\u4f4d\u6570\u4e3a \\(\\log_{10} n\\) \uff0c\u5373\u5bf9\u5e94\u5b57\u7b26\u4e32\u957f\u5ea6\u4e3a \\(\\log_{10} n\\) \uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log_{10} n) = O(\\log n)\\) \u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/","title":"2.4. \u6743\u8861\u65f6\u95f4\u4e0e\u7a7a\u95f4","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u90fd\u80fd\u591f\u8fbe\u5230\u6700\u4f18\uff0c\u800c\u5b9e\u9645\u4e0a\uff0c\u540c\u65f6\u4f18\u5316\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002</p> <p>\u964d\u4f4e\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u5f80\u5f80\u662f\u4ee5\u63d0\u5347\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a\u4ee3\u4ef7\u7684\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002\u6211\u4eec\u628a\u727a\u7272\u5185\u5b58\u7a7a\u95f4\u6765\u63d0\u5347\u7b97\u6cd5\u8fd0\u884c\u901f\u5ea6\u7684\u601d\u8def\u79f0\u4e3a\u300c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u300d\uff1b\u53cd\u4e4b\uff0c\u79f0\u4e4b\u4e3a\u300c\u4ee5\u65f6\u95f4\u6362\u7a7a\u95f4\u300d\u3002\u9009\u62e9\u54ea\u79cd\u601d\u8def\u53d6\u51b3\u4e8e\u6211\u4eec\u66f4\u770b\u91cd\u54ea\u4e2a\u65b9\u9762\u3002</p> <p>\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u90fd\u662f\u6bd4\u7a7a\u95f4\u66f4\u5b9d\u8d35\u7684\uff0c\u53ea\u8981\u7a7a\u95f4\u590d\u6742\u5ea6\u4e0d\u8981\u592a\u79bb\u8c31\u3001\u80fd\u63a5\u53d7\u5c31\u884c\uff0c\u56e0\u6b64\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u6700\u4e3a\u5e38\u7528\u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#241","title":"2.4.1. \u793a\u4f8b\u9898\u76ee *","text":"<p>\u4ee5 LeetCode \u5168\u7ad9\u7b2c\u4e00\u9898 \u4e24\u6570\u4e4b\u548c \u4e3a\u4f8b\u3002</p> <p>\u4e24\u6570\u4e4b\u548c</p> <p>\u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 <code>nums</code> \u548c\u4e00\u4e2a\u6574\u6570\u76ee\u6807\u503c <code>target</code> \uff0c\u8bf7\u4f60\u5728\u8be5\u6570\u7ec4\u4e2d\u627e\u51fa\u201c\u548c\u201d\u4e3a\u76ee\u6807\u503c <code>target</code> \u7684\u90a3\u4e24\u4e2a\u6574\u6570\uff0c\u5e76\u8fd4\u56de\u5b83\u4eec\u7684\u6570\u7ec4\u4e0b\u6807\u3002</p> <p>\u4f60\u53ef\u4ee5\u5047\u8bbe\u6bcf\u79cd\u8f93\u5165\u53ea\u4f1a\u5bf9\u5e94\u4e00\u4e2a\u7b54\u6848\u3002\u4f46\u662f\uff0c\u6570\u7ec4\u4e2d\u540c\u4e00\u4e2a\u5143\u7d20\u5728\u7b54\u6848\u91cc\u4e0d\u80fd\u91cd\u590d\u51fa\u73b0\u3002</p> <p>\u4f60\u53ef\u4ee5\u6309\u4efb\u610f\u987a\u5e8f\u8fd4\u56de\u7b54\u6848\u3002</p> <p>\u300c\u66b4\u529b\u679a\u4e3e\u300d\u548c\u300c\u8f85\u52a9\u54c8\u5e0c\u8868\u300d\u5206\u522b\u4e3a \u7a7a\u95f4\u6700\u4f18 \u548c \u65f6\u95f4\u6700\u4f18 \u7684\u4e24\u79cd\u89e3\u6cd5\u3002\u672c\u7740\u65f6\u95f4\u6bd4\u7a7a\u95f4\u66f4\u5b9d\u8d35\u7684\u539f\u5219\uff0c\u540e\u8005\u662f\u672c\u9898\u7684\u6700\u4f73\u89e3\u6cd5\u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#_1","title":"\u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(N^2)\\) \uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff0c\u5c5e\u4e8e\u300c\u65f6\u95f4\u6362\u7a7a\u95f4\u300d\u3002</p> <p>\u867d\u7136\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\uff0c\u4f46\u8fd0\u884c\u901f\u5ea6\u8fc7\u6162\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig leetcode_two_sum.java<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nint[] twoSumBruteForce(int[] nums, int target) {\nint size = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++) {\nfor (int j = i + 1; j &lt; size; j++) {\nif (nums[i] + nums[j] == target)\nreturn new int[] { i, j };\n}\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.cpp<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nvector&lt;int&gt; twoSumBruteForce(vector&lt;int&gt;&amp; nums, int target) {\nint size = nums.size();\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++) {\nfor (int j = i + 1; j &lt; size; j++) {\nif (nums[i] + nums[j] == target)\nreturn { i, j };\n}\n}\nreturn {};\n}\n</code></pre> leetcode_two_sum.py<pre><code>\"\"\" \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e \"\"\"\ndef two_sum_brute_force(nums: List[int], target: int) -&gt; List[int]:\n# \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i in range(len(nums) - 1):\nfor j in range(i + 1, len(nums)):\nif nums[i] + nums[j] == target:\nreturn i, j\nreturn []\n</code></pre> leetcode_two_sum.go<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunc twoSumBruteForce(nums []int, target int) []int {\nsize := len(nums)\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i := 0; i &lt; size-1; i++ {\nfor j := i + 1; i &lt; size; j++ {\nif nums[i]+nums[j] == target {\nreturn []int{i, j}\n}\n}\n}\nreturn nil\n}\n</code></pre> leetcode_two_sum.js<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunction twoSumBruteForce(nums, target) {\nconst n = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = i + 1; j &lt; n; j++) {\nif (nums[i] + nums[j] === target) {\nreturn [i, j];\n}\n}\n}\nreturn [];\n}\n</code></pre> leetcode_two_sum.ts<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunction twoSumBruteForce(nums: number[], target: number): number[] {\nconst n = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = i + 1; j &lt; n; j++) {\nif (nums[i] + nums[j] === target) {\nreturn [i, j];\n}\n}\n}\nreturn [];\n};\n</code></pre> leetcode_two_sum.c<pre><code>[class]{}-[func]{twoSumBruteForce}\n</code></pre> leetcode_two_sum.cs<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nint[] twoSumBruteForce(int[] nums, int target)\n{\nint size = nums.Length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++)\n{\nfor (int j = i + 1; j &lt; size; j++)\n{\nif (nums[i] + nums[j] == target)\nreturn new int[] { i, j };\n}\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.swift<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunc twoSumBruteForce(nums: [Int], target: Int) -&gt; [Int] {\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i in nums.indices.dropLast() {\nfor j in nums.indices.dropFirst(i + 1) {\nif nums[i] + nums[j] == target {\nreturn [i, j]\n}\n}\n}\nreturn [0]\n}\n</code></pre> leetcode_two_sum.zig<pre><code>// \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e\nfn twoSumBruteForce(nums: []i32, target: i32) ?[2]i32 {\nvar size: usize = nums.len;\nvar i: usize = 0;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nwhile (i &lt; size - 1) : (i += 1) {\nvar j = i + 1;\nwhile (j &lt; size) : (j += 1) {\nif (nums[i] + nums[j] == target) {\nreturn [_]i32{@intCast(i32, i), @intCast(i32, j)};\n}\n}\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#_2","title":"\u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(N)\\) \uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(N)\\) \uff0c\u5c5e\u4e8e\u300c\u7a7a\u95f4\u6362\u65f6\u95f4\u300d\u3002</p> <p>\u501f\u52a9\u8f85\u52a9\u54c8\u5e0c\u8868 dic \uff0c\u901a\u8fc7\u4fdd\u5b58\u6570\u7ec4\u5143\u7d20\u4e0e\u7d22\u5f15\u7684\u6620\u5c04\u6765\u63d0\u5347\u7b97\u6cd5\u8fd0\u884c\u901f\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig leetcode_two_sum.java<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nint[] twoSumHashTable(int[] nums, int target) {\nint size = nums.length;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nMap&lt;Integer, Integer&gt; dic = new HashMap&lt;&gt;();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++) {\nif (dic.containsKey(target - nums[i])) {\nreturn new int[] { dic.get(target - nums[i]), i };\n}\ndic.put(nums[i], i);\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.cpp<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nvector&lt;int&gt; twoSumHashTable(vector&lt;int&gt;&amp; nums, int target) {\nint size = nums.size();\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nunordered_map&lt;int, int&gt; dic;\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++) {\nif (dic.find(target - nums[i]) != dic.end()) {\nreturn { dic[target - nums[i]], i };\n}\ndic.emplace(nums[i], i);\n}\nreturn {};\n}\n</code></pre> leetcode_two_sum.py<pre><code>\"\"\" \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 \"\"\"\ndef two_sum_hash_table(nums: List[int], target: int) -&gt; List[int]:\n# \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\ndic = {}\n# \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor i in range(len(nums)):\nif target - nums[i] in dic:\nreturn dic[target - nums[i]], i\ndic[nums[i]] = i\nreturn []\n</code></pre> leetcode_two_sum.go<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunc twoSumHashTable(nums []int, target int) []int {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nhashTable := map[int]int{}\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor idx, val := range nums {\nif preIdx, ok := hashTable[target-val]; ok {\nreturn []int{preIdx, idx}\n}\nhashTable[val] = idx\n}\nreturn nil\n}\n</code></pre> leetcode_two_sum.js<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunction twoSumHashTable(nums, target) {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nlet m = {};\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (let i = 0; i &lt; nums.length; i++) {\nif (m[nums[i]] !== undefined) {\nreturn [m[nums[i]], i];\n} else {\nm[target - nums[i]] = i;\n}\n}\nreturn [];\n}\n</code></pre> leetcode_two_sum.ts<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunction twoSumHashTable(nums: number[], target: number): number[] {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nlet m: Map&lt;number, number&gt; = new Map();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (let i = 0; i &lt; nums.length; i++) {\nlet index = m.get(nums[i]);\nif (index !== undefined) {\nreturn [index, i];\n} else {\nm.set(target - nums[i], i);\n}\n}\nreturn [];\n};\n</code></pre> leetcode_two_sum.c<pre><code>[class]{}-[func]{twoSumHashTable}\n</code></pre> leetcode_two_sum.cs<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nint[] twoSumHashTable(int[] nums, int target)\n{\nint size = nums.Length;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nDictionary&lt;int, int&gt; dic = new();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++)\n{\nif (dic.ContainsKey(target - nums[i]))\n{\nreturn new int[] { dic[target - nums[i]], i };\n}\ndic.Add(nums[i], i);\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.swift<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunc twoSumHashTable(nums: [Int], target: Int) -&gt; [Int] {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nvar dic: [Int: Int] = [:]\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor i in nums.indices {\nif let j = dic[target - nums[i]] {\nreturn [j, i]\n}\ndic[nums[i]] = i\n}\nreturn [0]\n}\n</code></pre> leetcode_two_sum.zig<pre><code>// \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868\nfn twoSumHashTable(nums: []i32, target: i32) !?[2]i32 {\nvar size: usize = nums.len;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nvar dic = std.AutoHashMap(i32, i32).init(std.heap.page_allocator);\ndefer dic.deinit();\nvar i: usize = 0;\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nwhile (i &lt; size) : (i += 1) {\nif (dic.contains(target - nums[i])) {\nreturn [_]i32{dic.get(target - nums[i]).?, @intCast(i32, i)};\n}\ntry dic.put(nums[i], @intCast(i32, i));\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/summary/","title":"2.5. \u5c0f\u7ed3","text":""},{"location":"chapter_computational_complexity/summary/#_1","title":"\u7b97\u6cd5\u6548\u7387\u8bc4\u4f30","text":"<ul> <li>\u300c\u65f6\u95f4\u6548\u7387\u300d\u548c\u300c\u7a7a\u95f4\u6548\u7387\u300d\u662f\u7b97\u6cd5\u6027\u80fd\u7684\u4e24\u4e2a\u91cd\u8981\u7684\u8bc4\u4ef7\u7ef4\u5ea6\u3002</li> <li>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u300c\u5b9e\u9645\u6d4b\u8bd5\u300d\u6765\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\uff0c\u4f46\u96be\u4ee5\u6392\u9664\u6d4b\u8bd5\u73af\u5883\u7684\u5e72\u6270\uff0c\u5e76\u4e14\u975e\u5e38\u8017\u8d39\u8ba1\u7b97\u8d44\u6e90\u3002</li> <li>\u300c\u590d\u6742\u5ea6\u5206\u6790\u300d\u514b\u670d\u4e86\u5b9e\u9645\u6d4b\u8bd5\u7684\u5f0a\u7aef\uff0c\u5206\u6790\u7ed3\u679c\u9002\u7528\u4e8e\u6240\u6709\u8fd0\u884c\u5e73\u53f0\uff0c\u5e76\u4e14\u53ef\u4ee5\u4f53\u73b0\u4e0d\u540c\u6570\u636e\u5927\u5c0f\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\u3002</li> </ul>"},{"location":"chapter_computational_complexity/summary/#_2","title":"\u65f6\u95f4\u590d\u6742\u5ea6","text":"<ul> <li>\u300c\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\uff0c\u53ef\u4ee5\u6709\u6548\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53ef\u80fd\u5931\u6548\uff0c\u6bd4\u5982\u5728\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5c0f\u6216\u65f6\u95f4\u590d\u6742\u5ea6\u76f8\u540c\u65f6\uff0c\u65e0\u6cd5\u7cbe\u786e\u5bf9\u6bd4\u7b97\u6cd5\u6548\u7387\u7684\u4f18\u52a3\u6027\u3002</li> <li>\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u4f7f\u7528\u5927 \\(O\\) \u7b26\u53f7\u8868\u793a\uff0c\u5373\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\uff0c\u5176\u53cd\u6620\u5f53 \\(n\\) \u8d8b\u4e8e\u6b63\u65e0\u7a77\u65f6\uff0c\\(T(n)\\) \u5904\u4e8e\u4f55\u79cd\u589e\u957f\u7ea7\u522b\u3002</li> <li>\u63a8\u7b97\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u4e3a\u4e24\u6b65\uff0c\u9996\u5148\u7edf\u8ba1\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\uff0c\u518d\u5224\u65ad\u6e10\u8fd1\u4e0a\u754c\u3002</li> <li>\u5e38\u89c1\u65f6\u95f4\u590d\u6742\u5ea6\u4ece\u5c0f\u5230\u5927\u6392\u5217\u6709 \\(O(1)\\) , \\(O(\\log n)\\) , \\(O(n)\\) , \\(O(n \\log n)\\) , \\(O(n^2)\\) , \\(O(2^n)\\) , \\(O(n!)\\) \u3002</li> <li>\u67d0\u4e9b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u662f\u6052\u5b9a\u7684\uff0c\u800c\u662f\u4e0e\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\u6709\u5173\u3002\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u4e3a\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u548c\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u540e\u8005\u51e0\u4e4e\u4e0d\u7528\uff0c\u56e0\u4e3a\u8f93\u5165\u6570\u636e\u9700\u8981\u6ee1\u8db3\u82db\u523b\u7684\u6761\u4ef6\u624d\u80fd\u8fbe\u5230\u6700\u4f73\u60c5\u51b5\u3002</li> <li>\u300c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u53ef\u4ee5\u53cd\u6620\u5728\u968f\u673a\u6570\u636e\u8f93\u5165\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\uff0c\u6700\u8d34\u5408\u5b9e\u9645\u4f7f\u7528\u60c5\u51b5\u4e0b\u7684\u7b97\u6cd5\u6027\u80fd\u3002\u8ba1\u7b97\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u9700\u8981\u7edf\u8ba1\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\uff0c\u4ee5\u53ca\u7efc\u5408\u540e\u7684\u6570\u5b66\u671f\u671b\u3002</li> </ul>"},{"location":"chapter_computational_complexity/summary/#_3","title":"\u7a7a\u95f4\u590d\u6742\u5ea6","text":"<ul> <li> <p>\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u5b9a\u4e49\u7c7b\u4f3c\uff0c\u300c\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\u7edf\u8ba1\u7b97\u6cd5\u5360\u7528\u7a7a\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002</p> </li> <li> <p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\u76f8\u5173\u5185\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u8f93\u5165\u7a7a\u95f4\u3001\u6682\u5b58\u7a7a\u95f4\u3001\u8f93\u51fa\u7a7a\u95f4\u3002\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u8f93\u5165\u7a7a\u95f4\u4e0d\u8ba1\u5165\u7a7a\u95f4\u590d\u6742\u5ea6\u8ba1\u7b97\u3002\u6682\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u6307\u4ee4\u7a7a\u95f4\u3001\u6570\u636e\u7a7a\u95f4\u3001\u6808\u5e27\u7a7a\u95f4\uff0c\u5176\u4e2d\u6808\u5e27\u7a7a\u95f4\u4e00\u822c\u5728\u9012\u5f52\u51fd\u6570\u4e2d\u624d\u4f1a\u5f71\u54cd\u5230\u7a7a\u95f4\u590d\u6742\u5ea6\u3002</p> </li> <li>\u6211\u4eec\u4e00\u822c\u53ea\u5173\u5fc3\u300c\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u5373\u7edf\u8ba1\u7b97\u6cd5\u5728\u300c\u6700\u5dee\u8f93\u5165\u6570\u636e\u300d\u548c\u300c\u6700\u5dee\u8fd0\u884c\u65f6\u95f4\u70b9\u300d\u4e0b\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u3002</li> <li>\u5e38\u89c1\u7a7a\u95f4\u590d\u6742\u5ea6\u4ece\u5c0f\u5230\u5927\u6392\u5217\u6709 \\(O(1)\\) , \\(O(\\log n)\\) , \\(O(n)\\) , \\(O(n^2)\\) , \\(O(2^n)\\) \u3002</li> </ul>"},{"location":"chapter_computational_complexity/time_complexity/","title":"2.2. \u65f6\u95f4\u590d\u6742\u5ea6","text":""},{"location":"chapter_computational_complexity/time_complexity/#221","title":"2.2.1. \u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4","text":"<p>\u8fd0\u884c\u65f6\u95f4\u80fd\u591f\u76f4\u89c2\u4e14\u51c6\u786e\u5730\u4f53\u73b0\u51fa\u7b97\u6cd5\u7684\u6548\u7387\u6c34\u5e73\u3002\u5982\u679c\u6211\u4eec\u60f3\u8981 \u51c6\u786e\u9884\u4f30\u4e00\u6bb5\u4ee3\u7801\u7684\u8fd0\u884c\u65f6\u95f4 \uff0c\u8be5\u5982\u4f55\u505a\u5462\uff1f</p> <ol> <li>\u9996\u5148\u9700\u8981 \u786e\u5b9a\u8fd0\u884c\u5e73\u53f0 \uff0c\u5305\u62ec\u786c\u4ef6\u914d\u7f6e\u3001\u7f16\u7a0b\u8bed\u8a00\u3001\u7cfb\u7edf\u73af\u5883\u7b49\uff0c\u8fd9\u4e9b\u90fd\u4f1a\u5f71\u54cd\u5230\u4ee3\u7801\u7684\u8fd0\u884c\u6548\u7387\u3002</li> <li>\u8bc4\u4f30 \u5404\u79cd\u8ba1\u7b97\u64cd\u4f5c\u7684\u6240\u9700\u8fd0\u884c\u65f6\u95f4 \uff0c\u4f8b\u5982\u52a0\u6cd5\u64cd\u4f5c <code>+</code> \u9700\u8981 1 ns \uff0c\u4e58\u6cd5\u64cd\u4f5c <code>*</code> \u9700\u8981 10 ns \uff0c\u6253\u5370\u64cd\u4f5c\u9700\u8981 5 ns \u7b49\u3002</li> <li>\u6839\u636e\u4ee3\u7801 \u7edf\u8ba1\u6240\u6709\u8ba1\u7b97\u64cd\u4f5c\u7684\u6570\u91cf \uff0c\u5e76\u5c06\u6240\u6709\u64cd\u4f5c\u7684\u6267\u884c\u65f6\u95f4\u6c42\u548c\uff0c\u5373\u53ef\u5f97\u5230\u8fd0\u884c\u65f6\u95f4\u3002</li> </ol> <p>\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u6839\u636e\u4ee5\u4e0a\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5f97\u5230\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u4e3a \\(6n + 12\\) ns \u3002</p> \\[ 1 + 1 + 10 + (1 + 5) \\times n = 6n + 12 \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nSystem.out.println(0);     // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\ncout &lt;&lt; 0 &lt;&lt; endl;         // 5 ns\n}\n}\n</code></pre> <pre><code># \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\ndef algorithm(n):\na = 2      # 1 ns\na = a + 1  # 1 ns\na = a * 2  # 10 ns\n# \u5faa\u73af n \u6b21\nfor _ in range(n):  # 1 ns\nprint(0)        # 5 ns\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunc algorithm(n int) {\na := 2      // 1 ns\na = a + 1   // 1 ns\na = a * 2   // 10 ns\n// \u5faa\u73af n \u6b21\nfor i := 0; i &lt; n; i++ {    // 1 ns\nfmt.Println(a)          // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunction algorithm(n) {\nvar a = 2; // 1 ns\na = a + 1; // 1 ns\na = a * 2; // 10 ns\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++) { // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nconsole.log(0); // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunction algorithm(n: number): void {\nvar a: number = 2; // 1 ns\na = a + 1; // 1 ns\na = a * 2; // 10 ns\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++) { // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nconsole.log(0); // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {   // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nprintf(\"%d\", 0);            // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n)\n{\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++)\n{  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nConsole.WriteLine(0);     // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunc algorithm(_ n: Int) {\nvar a = 2 // 1 ns\na = a + 1 // 1 ns\na = a * 2 // 10 ns\n// \u5faa\u73af n \u6b21\nfor _ in 0 ..&lt; n { // 1 ns\nprint(0) // 5 ns\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u4f46\u5b9e\u9645\u4e0a\uff0c \u7edf\u8ba1\u7b97\u6cd5\u7684\u8fd0\u884c\u65f6\u95f4\u65e2\u4e0d\u5408\u7406\u4e5f\u4e0d\u73b0\u5b9e\u3002\u9996\u5148\uff0c\u6211\u4eec\u4e0d\u5e0c\u671b\u9884\u4f30\u65f6\u95f4\u548c\u8fd0\u884c\u5e73\u53f0\u7ed1\u5b9a\uff0c\u6bd5\u7adf\u7b97\u6cd5\u9700\u8981\u8dd1\u5728\u5404\u5f0f\u5404\u6837\u7684\u5e73\u53f0\u4e4b\u4e0a\u3002\u5176\u6b21\uff0c\u6211\u4eec\u5f88\u96be\u83b7\u77e5\u6bcf\u4e00\u79cd\u64cd\u4f5c\u7684\u8fd0\u884c\u65f6\u95f4\uff0c\u8fd9\u4e3a\u9884\u4f30\u8fc7\u7a0b\u5e26\u6765\u4e86\u6781\u5927\u7684\u96be\u5ea6\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#222","title":"2.2.2. \u7edf\u8ba1\u65f6\u95f4\u589e\u957f\u8d8b\u52bf","text":"<p>\u300c\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u300d\u91c7\u53d6\u4e86\u4e0d\u540c\u7684\u505a\u6cd5\uff0c\u5176\u7edf\u8ba1\u7684\u4e0d\u662f\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\uff0c\u800c\u662f \u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf \u3002</p> <p>\u201c\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u201d\u8fd9\u4e2a\u6982\u5ff5\u6bd4\u8f83\u62bd\u8c61\uff0c\u6211\u4eec\u501f\u52a9\u4e00\u4e2a\u4f8b\u5b50\u6765\u7406\u89e3\u3002\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u7ed9\u5b9a\u4e09\u4e2a\u7b97\u6cd5 <code>A</code> , <code>B</code> , <code>C</code> \u3002</p> <ul> <li>\u7b97\u6cd5 <code>A</code> \u53ea\u6709 \\(1\\) \u4e2a\u6253\u5370\u64cd\u4f5c\uff0c\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u4e0d\u968f\u7740 \\(n\\) \u589e\u5927\u800c\u589e\u957f\u3002\u6211\u4eec\u79f0\u6b64\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u300c\u5e38\u6570\u9636\u300d\u3002</li> <li>\u7b97\u6cd5 <code>B</code> \u4e2d\u7684\u6253\u5370\u64cd\u4f5c\u9700\u8981\u5faa\u73af \\(n\\) \u6b21\uff0c\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740 \\(n\\) \u589e\u5927\u6210\u7ebf\u6027\u589e\u957f\u3002\u6b64\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u88ab\u79f0\u4e3a\u300c\u7ebf\u6027\u9636\u300d\u3002</li> <li>\u7b97\u6cd5 <code>C</code> \u4e2d\u7684\u6253\u5370\u64cd\u4f5c\u9700\u8981\u5faa\u73af \\(1000000\\) \u6b21\uff0c\u4f46\u8fd0\u884c\u65f6\u95f4\u4ecd\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\u3002\u56e0\u6b64 <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u548c <code>A</code> \u76f8\u540c\uff0c\u4ecd\u4e3a\u300c\u5e38\u6570\u9636\u300d\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\nSystem.out.println(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\nSystem.out.println(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\nSystem.out.println(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n</code></pre> <pre><code># \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\ndef algorithm_A(n):\nprint(0)\n# \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\ndef algorithm_B(n):\nfor _ in range(n):\nprint(0)\n# \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\ndef algorithm_C(n):\nfor _ in range(1000000):\nprint(0)\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithm_A(n int) {\nfmt.Println(0)\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunc algorithm_B(n int) {\nfor i := 0; i &lt; n; i++ {\nfmt.Println(0)\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithm_C(n int) {\nfor i := 0; i &lt; 1000000; i++ {\nfmt.Println(0)\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_A(n) {\nconsole.log(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunction algorithm_B(n) {\nfor (let i = 0; i &lt; n; i++) {\nconsole.log(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_C(n) {\nfor (let i = 0; i &lt; 1000000; i++) {\nconsole.log(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_A(n: number): void {\nconsole.log(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunction algorithm_B(n: number): void {\nfor (let i = 0; i &lt; n; i++) {\nconsole.log(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_C(n: number): void {\nfor (let i = 0; i &lt; 1000000; i++) {\nconsole.log(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\nprintf(\"%d\", 0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\nprintf(\"%d\", 0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\nprintf(\"%d\", 0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n)\n{\nConsole.WriteLine(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n)\n{\nfor (int i = 0; i &lt; n; i++)\n{\nConsole.WriteLine(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n)\n{\nfor (int i = 0; i &lt; 1000000; i++)\n{\nConsole.WriteLine(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithmA(_ n: Int) {\nprint(0)\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunc algorithmB(_ n: Int) {\nfor _ in 0 ..&lt; n {\nprint(0)\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithmC(_ n: Int) {\nfor _ in 0 ..&lt; 1000000 {\nprint(0)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p></p> <p> Fig. \u7b97\u6cd5 A, B, C \u7684\u65f6\u95f4\u589e\u957f\u8d8b\u52bf </p> <p>\u76f8\u6bd4\u76f4\u63a5\u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u7684\u505a\u6cd5\u6709\u4ec0\u4e48\u597d\u5904\u5462\uff1f\u4ee5\u53ca\u6709\u4ec0\u4e48\u4e0d\u8db3\uff1f</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u53ef\u4ee5\u6709\u6548\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\u3002\u7b97\u6cd5 <code>B</code> \u8fd0\u884c\u65f6\u95f4\u7684\u589e\u957f\u662f\u7ebf\u6027\u7684\uff0c\u5728 \\(n &gt; 1\\) \u65f6\u6162\u4e8e\u7b97\u6cd5 <code>A</code> \uff0c\u5728 \\(n &gt; 1000000\\) \u65f6\u6162\u4e8e\u7b97\u6cd5 <code>C</code> \u3002\u5b9e\u8d28\u4e0a\uff0c\u53ea\u8981\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u8db3\u591f\u5927\uff0c\u590d\u6742\u5ea6\u4e3a\u300c\u5e38\u6570\u9636\u300d\u7684\u7b97\u6cd5\u4e00\u5b9a\u4f18\u4e8e\u300c\u7ebf\u6027\u9636\u300d\u7684\u7b97\u6cd5\uff0c\u8fd9\u4e5f\u6b63\u662f\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u7684\u542b\u4e49\u3002</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u63a8\u7b97\u65b9\u6cd5\u66f4\u52a0\u7b80\u4fbf\u3002\u5728\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u7edf\u8ba1\u300c\u8ba1\u7b97\u64cd\u4f5c\u7684\u8fd0\u884c\u65f6\u95f4\u300d\u7b80\u5316\u4e3a\u7edf\u8ba1\u300c\u8ba1\u7b97\u64cd\u4f5c\u7684\u6570\u91cf\u300d\uff0c\u8fd9\u662f\u56e0\u4e3a\uff0c\u65e0\u8bba\u662f\u8fd0\u884c\u5e73\u53f0\u8fd8\u662f\u8ba1\u7b97\u64cd\u4f5c\u7c7b\u578b\uff0c\u90fd\u4e0e\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u7684\u589e\u957f\u8d8b\u52bf\u65e0\u5173\u3002\u56e0\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u5c06\u6240\u6709\u8ba1\u7b97\u64cd\u4f5c\u7684\u6267\u884c\u65f6\u95f4\u7edf\u4e00\u770b\u4f5c\u662f\u76f8\u540c\u7684\u201c\u5355\u4f4d\u65f6\u95f4\u201d\uff0c\u8fd9\u6837\u7684\u7b80\u5316\u505a\u6cd5\u5927\u5927\u964d\u4f4e\u4e86\u4f30\u7b97\u96be\u5ea6\u3002</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002\u6bd4\u5982\uff0c\u867d\u7136\u7b97\u6cd5 <code>A</code> \u548c <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u76f8\u540c\uff0c\u4f46\u662f\u5b9e\u9645\u7684\u8fd0\u884c\u65f6\u95f4\u6709\u975e\u5e38\u5927\u7684\u5dee\u522b\u3002\u518d\u6bd4\u5982\uff0c\u867d\u7136\u7b97\u6cd5 <code>B</code> \u6bd4 <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8981\u66f4\u9ad8\uff0c\u4f46\u5728\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u6bd4\u8f83\u5c0f\u65f6\uff0c\u7b97\u6cd5 <code>B</code> \u662f\u8981\u660e\u663e\u4f18\u4e8e\u7b97\u6cd5 <code>C</code> \u7684\u3002\u5bf9\u4e8e\u4ee5\u4e0a\u60c5\u51b5\uff0c\u6211\u4eec\u5f88\u96be\u4ec5\u51ed\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u5224\u5b9a\u7b97\u6cd5\u6548\u7387\u9ad8\u4f4e\u3002\u7136\u800c\uff0c\u5373\u4f7f\u5b58\u5728\u8fd9\u4e9b\u95ee\u9898\uff0c\u8ba1\u7b97\u590d\u6742\u5ea6\u4ecd\u7136\u662f\u8bc4\u5224\u7b97\u6cd5\u6548\u7387\u7684\u6700\u6709\u6548\u4e14\u5e38\u7528\u7684\u65b9\u6cd5\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#223","title":"2.2.3. \u51fd\u6570\u6e10\u8fd1\u4e0a\u754c","text":"<p>\u8bbe\u7b97\u6cd5\u300c\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\u300d\u4e3a \\(T(n)\\) \uff0c\u5176\u662f\u4e00\u4e2a\u5173\u4e8e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u7684\u51fd\u6570\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u7b97\u6cd5\u7684\u64cd\u4f5c\u6570\u91cf\u4e3a</p> \\[ T(n) = 3 + 2n \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nSystem.out.println(0);    // +1\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\ncout &lt;&lt; 0 &lt;&lt; endl;    // +1\n}\n}\n</code></pre> <pre><code>def algorithm(n):\na = 1  # +1\na = a + 1  # +1\na = a * 2  # +1\n# \u5faa\u73af n \u6b21\nfor i in range(n):  # +1\nprint(0)        # +1\n</code></pre> <pre><code>func algorithm(n int) {\na := 1      // +1\na = a + 1   // +1\na = a * 2   // +1\n// \u5faa\u73af n \u6b21\nfor i := 0; i &lt; n; i++ {   // +1\nfmt.Println(a)         // +1\n}\n}\n</code></pre> <pre><code>function algorithm(n){\nvar a = 1; // +1\na += 1; // +1\na *= 2; // +1\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++){ // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nconsole.log(0); // +1\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void{\nvar a: number = 1; // +1\na += 1; // +1\na *= 2; // +1\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++){ // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nconsole.log(0); // +1\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {   // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nprintf(\"%d\", 0);            // +1\n}\n}  </code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nConsole.WriteLine(0);     // +1\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nvar a = 1 // +1\na = a + 1 // +1\na = a * 2 // +1\n// \u5faa\u73af n \u6b21\nfor _ in 0 ..&lt; n { // +1\nprint(0) // +1\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\\(T(n)\\) \u662f\u4e2a\u4e00\u6b21\u51fd\u6570\uff0c\u8bf4\u660e\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u662f\u7ebf\u6027\u7684\uff0c\u56e0\u6b64\u6613\u5f97\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u7ebf\u6027\u9636\u3002</p> <p>\u6211\u4eec\u5c06\u7ebf\u6027\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8bb0\u4e3a \\(O(n)\\) \uff0c\u8fd9\u4e2a\u6570\u5b66\u7b26\u53f7\u88ab\u79f0\u4e3a\u300c\u5927 \\(O\\) \u8bb0\u53f7 Big-\\(O\\) Notation\u300d\uff0c\u4ee3\u8868\u51fd\u6570 \\(T(n)\\) \u7684\u300c\u6e10\u8fd1\u4e0a\u754c asymptotic upper bound\u300d\u3002</p> <p>\u6211\u4eec\u8981\u63a8\u7b97\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u672c\u8d28\u4e0a\u662f\u5728\u8ba1\u7b97\u300c\u64cd\u4f5c\u6570\u91cf\u51fd\u6570 \\(T(n)\\) \u300d\u7684\u6e10\u8fd1\u4e0a\u754c\u3002\u4e0b\u9762\u6211\u4eec\u5148\u6765\u770b\u770b\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\u7684\u6570\u5b66\u5b9a\u4e49\u3002</p> <p>\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c</p> <p>\u82e5\u5b58\u5728\u6b63\u5b9e\u6570 \\(c\\) \u548c\u5b9e\u6570 \\(n_0\\) \uff0c\u4f7f\u5f97\u5bf9\u4e8e\u6240\u6709\u7684 \\(n &gt; n_0\\) \uff0c\u5747\u6709 $$ T(n) \\leq c \\cdot f(n) $$ \u5219\u53ef\u8ba4\u4e3a \\(f(n)\\) \u7ed9\u51fa\u4e86 \\(T(n)\\) \u7684\u4e00\u4e2a\u6e10\u8fd1\u4e0a\u754c\uff0c\u8bb0\u4e3a $$ T(n) = O(f(n)) $$</p> <p></p> <p> Fig. \u51fd\u6570\u7684\u6e10\u8fd1\u4e0a\u754c </p> <p>\u672c\u8d28\u4e0a\u770b\uff0c\u8ba1\u7b97\u6e10\u8fd1\u4e0a\u754c\u5c31\u662f\u5728\u627e\u4e00\u4e2a\u51fd\u6570 \\(f(n)\\) \uff0c\u4f7f\u5f97\u5728 \\(n\\) \u8d8b\u5411\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\\(T(n)\\) \u548c \\(f(n)\\) \u5904\u4e8e\u76f8\u540c\u7684\u589e\u957f\u7ea7\u522b\uff08\u4ec5\u76f8\u5dee\u4e00\u4e2a\u5e38\u6570\u9879 \\(c\\) \u7684\u500d\u6570\uff09\u3002</p> <p>Tip</p> <p>\u6e10\u8fd1\u4e0a\u754c\u7684\u6570\u5b66\u5473\u513f\u6709\u70b9\u91cd\uff0c\u5982\u679c\u4f60\u611f\u89c9\u6ca1\u6709\u5b8c\u5168\u7406\u89e3\uff0c\u65e0\u9700\u62c5\u5fc3\uff0c\u56e0\u4e3a\u5728\u5b9e\u9645\u4f7f\u7528\u4e2d\u6211\u4eec\u53ea\u9700\u8981\u4f1a\u63a8\u7b97\u5373\u53ef\uff0c\u6570\u5b66\u610f\u4e49\u53ef\u4ee5\u6162\u6162\u9886\u609f\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#224","title":"2.2.4. \u63a8\u7b97\u65b9\u6cd5","text":"<p>\u63a8\u7b97\u51fa \\(f(n)\\) \u540e\uff0c\u6211\u4eec\u5c31\u5f97\u5230\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(f(n))\\) \u3002\u90a3\u4e48\uff0c\u5982\u4f55\u6765\u786e\u5b9a\u6e10\u8fd1\u4e0a\u754c \\(f(n)\\) \u5462\uff1f\u603b\u4f53\u5206\u4e3a\u4e24\u6b65\uff0c\u9996\u5148\u300c\u7edf\u8ba1\u64cd\u4f5c\u6570\u91cf\u300d\uff0c\u7136\u540e\u300c\u5224\u65ad\u6e10\u8fd1\u4e0a\u754c\u300d\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#1","title":"1) \u7edf\u8ba1\u64cd\u4f5c\u6570\u91cf","text":"<p>\u5bf9\u7740\u4ee3\u7801\uff0c\u4ece\u4e0a\u5230\u4e0b\u4e00\u884c\u4e00\u884c\u5730\u8ba1\u6570\u5373\u53ef\u3002\u7136\u800c\uff0c\u7531\u4e8e\u4e0a\u8ff0 \\(c \\cdot f(n)\\) \u4e2d\u7684\u5e38\u6570\u9879 \\(c\\) \u53ef\u4ee5\u53d6\u4efb\u610f\u5927\u5c0f\uff0c\u56e0\u6b64\u64cd\u4f5c\u6570\u91cf \\(T(n)\\) \u4e2d\u7684\u5404\u79cd\u7cfb\u6570\u3001\u5e38\u6570\u9879\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\u3002\u6839\u636e\u6b64\u539f\u5219\uff0c\u53ef\u4ee5\u603b\u7ed3\u51fa\u4ee5\u4e0b\u8ba1\u6570\u5077\u61d2\u6280\u5de7\uff1a</p> <ol> <li>\u8df3\u8fc7\u6570\u91cf\u4e0e \\(n\\) \u65e0\u5173\u7684\u64cd\u4f5c\u3002\u56e0\u4e3a\u4ed6\u4eec\u90fd\u662f \\(T(n)\\) \u4e2d\u7684\u5e38\u6570\u9879\uff0c\u5bf9\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u4ea7\u751f\u5f71\u54cd\u3002</li> <li>\u7701\u7565\u6240\u6709\u7cfb\u6570\u3002\u4f8b\u5982\uff0c\u5faa\u73af \\(2n\\) \u6b21\u3001\\(5n + 1\\) \u6b21\u3001\u2026\u2026\uff0c\u90fd\u53ef\u4ee5\u5316\u7b80\u8bb0\u4e3a \\(n\\) \u6b21\uff0c\u56e0\u4e3a \\(n\\) \u524d\u9762\u7684\u7cfb\u6570\u5bf9\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u4e0d\u4ea7\u751f\u5f71\u54cd\u3002</li> <li>\u5faa\u73af\u5d4c\u5957\u65f6\u4f7f\u7528\u4e58\u6cd5\u3002\u603b\u64cd\u4f5c\u6570\u91cf\u7b49\u4e8e\u5916\u5c42\u5faa\u73af\u548c\u5185\u5c42\u5faa\u73af\u64cd\u4f5c\u6570\u91cf\u4e4b\u79ef\uff0c\u6bcf\u4e00\u5c42\u5faa\u73af\u4f9d\u7136\u53ef\u4ee5\u5206\u522b\u5957\u7528\u4e0a\u8ff0 <code>1.</code> \u548c <code>2.</code> \u6280\u5de7\u3002</li> </ol> <p>\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u4f7f\u7528\u4e0a\u8ff0\u6280\u5de7\u524d\u3001\u540e\u7684\u7edf\u8ba1\u7ed3\u679c\u3002</p> \\[ \\begin{aligned} T(n) &amp; = 2n(n + 1) + (5n + 1) + 2 &amp; \\text{\u5b8c\u6574\u7edf\u8ba1 (-.-|||)} \\newline &amp; = 2n^2 + 7n + 3 \\newline T(n) &amp; = n^2 + n &amp; \\text{\u5077\u61d2\u7edf\u8ba1 (o.O)} \\end{aligned} \\] <p>\u6700\u7ec8\uff0c\u4e24\u8005\u90fd\u80fd\u63a8\u51fa\u76f8\u540c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7ed3\u679c\uff0c\u5373 \\(O(n^2)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\nSystem.out.println(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\nSystem.out.println(0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n}\n</code></pre> <pre><code>def algorithm(n):\na = 1      # +0\uff08\u6280\u5de7 1\uff09\na = a + n  # +0\uff08\u6280\u5de7 1\uff09\n# +n\uff08\u6280\u5de7 2\uff09\nfor i in range(5 * n + 1):\nprint(0)\n# +n*n\uff08\u6280\u5de7 3\uff09\nfor i in range(2 * n):\nfor j in range(n + 1):\nprint(0)\n</code></pre> <pre><code>func algorithm(n int) {\na := 1      // +0\uff08\u6280\u5de7 1\uff09\na = a + n  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor i := 0; i &lt; 5 * n + 1; i++ {\nfmt.Println(0)\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor i := 0; i &lt; 2 * n; i++ {\nfor j := 0; j &lt; n + 1; j++ {\nfmt.Println(0)\n}\n}\n}\n</code></pre> <pre><code>function algorithm(n) {\nlet a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (let i = 0; i &lt; 5 * n + 1; i++) {\nconsole.log(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (let i = 0; i &lt; 2 * n; i++) {\nfor (let j = 0; j &lt; n + 1; j++) {\nconsole.log(0);\n}\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void {\nlet a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (let i = 0; i &lt; 5 * n + 1; i++) {\nconsole.log(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (let i = 0; i &lt; 2 * n; i++) {\nfor (let j = 0; j &lt; n + 1; j++) {\nconsole.log(0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\nprintf(\"%d\", 0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\nprintf(\"%d\", 0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n)\n{\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++)\n{\nConsole.WriteLine(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++)\n{\nfor (int j = 0; j &lt; n + 1; j++)\n{\nConsole.WriteLine(0);\n}\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nvar a = 1 // +0\uff08\u6280\u5de7 1\uff09\na = a + n // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor _ in 0 ..&lt; (5 * n + 1) {\nprint(0)\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor _ in 0 ..&lt; (2 * n) {\nfor _ in 0 ..&lt; (n + 1) {\nprint(0)\n}\n}\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#2","title":"2) \u5224\u65ad\u6e10\u8fd1\u4e0a\u754c","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\u7531\u591a\u9879\u5f0f \\(T(n)\\) \u4e2d\u6700\u9ad8\u9636\u7684\u9879\u6765\u51b3\u5b9a\u3002\u8fd9\u662f\u56e0\u4e3a\u5728 \\(n\\) \u8d8b\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\u6700\u9ad8\u9636\u7684\u9879\u5c06\u5904\u4e8e\u4e3b\u5bfc\u4f5c\u7528\uff0c\u5176\u5b83\u9879\u7684\u5f71\u54cd\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\u3002</p> <p>\u4ee5\u4e0b\u8868\u683c\u7ed9\u51fa\u4e86\u4e00\u4e9b\u4f8b\u5b50\uff0c\u5176\u4e2d\u6709\u4e00\u4e9b\u5938\u5f20\u7684\u503c\uff0c\u662f\u60f3\u8981\u5411\u5927\u5bb6\u5f3a\u8c03 \u7cfb\u6570\u65e0\u6cd5\u64bc\u52a8\u9636\u6570 \u8fd9\u4e00\u7ed3\u8bba\u3002\u5728 \\(n\\) \u8d8b\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\u8fd9\u4e9b\u5e38\u6570\u90fd\u662f\u201c\u6d6e\u4e91\u201d\u3002</p> \u64cd\u4f5c\u6570\u91cf \\(T(n)\\) \u65f6\u95f4\u590d\u6742\u5ea6 \\(O(f(n))\\) \\(100000\\) \\(O(1)\\) \\(3n + 2\\) \\(O(n)\\) \\(2n^2 + 3n + 2\\) \\(O(n^2)\\) \\(n^3 + 10000n^2\\) \\(O(n^3)\\) \\(2^n + 10000n^{10000}\\) \\(O(2^n)\\)"},{"location":"chapter_computational_complexity/time_complexity/#225","title":"2.2.5. \u5e38\u89c1\u7c7b\u578b","text":"<p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u5e38\u89c1\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7c7b\u578b\u6709\uff08\u4ece\u4f4e\u5230\u9ad8\u6392\u5217\uff09</p> \\[ \\begin{aligned} O(1) &lt; O(\\log n) &lt; O(n) &lt; O(n \\log n) &lt; O(n^2) &lt; O(2^n) &lt; O(n!) \\newline \\text{\u5e38\u6570\u9636} &lt; \\text{\u5bf9\u6570\u9636} &lt; \\text{\u7ebf\u6027\u9636} &lt; \\text{\u7ebf\u6027\u5bf9\u6570\u9636} &lt; \\text{\u5e73\u65b9\u9636} &lt; \\text{\u6307\u6570\u9636} &lt; \\text{\u9636\u4e58\u9636} \\end{aligned} \\] <p></p> <p> Fig. \u65f6\u95f4\u590d\u6742\u5ea6\u7684\u5e38\u89c1\u7c7b\u578b </p> <p>Tip</p> <p>\u90e8\u5206\u793a\u4f8b\u4ee3\u7801\u9700\u8981\u4e00\u4e9b\u524d\u7f6e\u77e5\u8bc6\uff0c\u5305\u62ec\u6570\u7ec4\u3001\u9012\u5f52\u7b97\u6cd5\u7b49\u3002\u5982\u679c\u9047\u5230\u770b\u4e0d\u61c2\u7684\u5730\u65b9\u65e0\u9700\u62c5\u5fc3\uff0c\u53ef\u4ee5\u5728\u5b66\u4e60\u5b8c\u540e\u9762\u7ae0\u8282\u540e\u518d\u6765\u590d\u4e60\uff0c\u73b0\u9636\u6bb5\u5148\u805a\u7126\u5728\u7406\u89e3\u65f6\u95f4\u590d\u6742\u5ea6\u542b\u4e49\u548c\u63a8\u7b97\u65b9\u6cd5\u4e0a\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#o1","title":"\u5e38\u6570\u9636 \\(O(1)\\)","text":"<p>\u5e38\u6570\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\uff0c\u5373\u4e0d\u968f\u7740 \\(n\\) \u7684\u53d8\u5316\u800c\u53d8\u5316\u3002</p> <p>\u5bf9\u4e8e\u4ee5\u4e0b\u7b97\u6cd5\uff0c\u65e0\u8bba\u64cd\u4f5c\u6570\u91cf <code>size</code> \u6709\u591a\u5927\uff0c\u53ea\u8981\u4e0e\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5c31\u4ecd\u4e3a \\(O(1)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n) {\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n) {\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e38\u6570\u9636 \"\"\"\ndef constant(n):\ncount = 0\nsize = 100000\nfor _ in range(size):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n int) int {\ncount := 0\nsize := 100000\nfor i := 0; i &lt; size; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n) {\nlet count = 0;\nconst size = 100000;\nfor (let i = 0; i &lt; size; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n: number): number {\nlet count = 0;\nconst size = 100000;\nfor (let i = 0; i &lt; size; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{constant}\n</code></pre> time_complexity.cs<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n)\n{\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n: Int) -&gt; Int {\nvar count = 0\nlet size = 100_000\nfor _ in 0 ..&lt; size {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e38\u6570\u9636\nfn constant(n: i32) i32 {\n_ = n;\nvar count: i32 = 0;\nconst size: i32 = 100_000;\nvar i: i32 = 0;\nwhile(i&lt;size) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on","title":"\u7ebf\u6027\u9636 \\(O(n)\\)","text":"<p>\u7ebf\u6027\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u76f8\u5bf9\u8f93\u5165\u6570\u636e\u5927\u5c0f\u6210\u7ebf\u6027\u7ea7\u522b\u589e\u957f\u3002\u7ebf\u6027\u9636\u5e38\u51fa\u73b0\u4e8e\u5355\u5c42\u5faa\u73af\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n) {\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n) {\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636 \"\"\"\ndef linear(n):\ncount = 0\nfor _ in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n int) int {\ncount := 0\nfor i := 0; i &lt; n; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n) {\nlet count = 0;\nfor (let i = 0; i &lt; n; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n: number): number {\nlet count = 0;\nfor (let i = 0; i &lt; n; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{linear}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n)\n{\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n: Int) -&gt; Int {\nvar count = 0\nfor _ in 0 ..&lt; n {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u9636\nfn linear(n: i32) i32 {\nvar count: i32 = 0;\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre> <p>\u300c\u904d\u5386\u6570\u7ec4\u300d\u548c\u300c\u904d\u5386\u94fe\u8868\u300d\u7b49\u64cd\u4f5c\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(n)\\) \uff0c\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u7684\u957f\u5ea6\u3002</p> <p>Tip</p> <p>\u6570\u636e\u5927\u5c0f \\(n\\) \u662f\u6839\u636e\u8f93\u5165\u6570\u636e\u7684\u7c7b\u578b\u6765\u786e\u5b9a\u7684\u3002\u6bd4\u5982\uff0c\u5728\u4e0a\u8ff0\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u76f4\u63a5\u5c06 \\(n\\) \u770b\u4f5c\u8f93\u5165\u6570\u636e\u5927\u5c0f\uff1b\u4ee5\u4e0b\u904d\u5386\u6570\u7ec4\u793a\u4f8b\u4e2d\uff0c\u6570\u636e\u5927\u5c0f \\(n\\) \u4e3a\u6570\u7ec4\u7684\u957f\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(int[] nums) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (int num : nums) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(vector&lt;int&gt;&amp; nums) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (int num : nums) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09\"\"\"\ndef array_traversal(nums):\ncount = 0\n# \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor num in nums:\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunc arrayTraversal(nums []int) int {\ncount := 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor range nums {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunction arrayTraversal(nums) {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunction arrayTraversal(nums: number[]): number {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{arrayTraversal}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(int[] nums)\n{\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nforeach (int num in nums)\n{\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunc arrayTraversal(nums: [Int]) -&gt; Int {\nvar count = 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor _ in nums {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09\nfn arrayTraversal(nums: []i32) i32 {\nvar count: i32 = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (nums) |_| {\ncount += 1;\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on2","title":"\u5e73\u65b9\u9636 \\(O(n^2)\\)","text":"<p>\u5e73\u65b9\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u76f8\u5bf9\u8f93\u5165\u6570\u636e\u5927\u5c0f\u6210\u5e73\u65b9\u7ea7\u522b\u589e\u957f\u3002\u5e73\u65b9\u9636\u5e38\u51fa\u73b0\u4e8e\u5d4c\u5957\u5faa\u73af\uff0c\u5916\u5c42\u5faa\u73af\u548c\u5185\u5c42\u5faa\u73af\u90fd\u4e3a \\(O(n)\\) \uff0c\u603b\u4f53\u4e3a \\(O(n^2)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636 \"\"\"\ndef quadratic(n):\ncount = 0\n# \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor i in range(n):\nfor j in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n int) int {\ncount := 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor i := 0; i &lt; n; i++ {\nfor j := 0; j &lt; n; j++ {\ncount++\n}\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n) {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n: number): number {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{quadratic}\n</code></pre> time_complexity.cs<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n)\n{\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++)\n{\nfor (int j = 0; j &lt; n; j++)\n{\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n: Int) -&gt; Int {\nvar count = 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor _ in 0 ..&lt; n {\nfor _ in 0 ..&lt; n {\ncount += 1\n}\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e73\u65b9\u9636\nfn quadratic(n: i32) i32 {\nvar count: i32 = 0;\nvar i: i32 = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nwhile (i &lt; n) : (i += 1) {\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\ncount += 1;\n}\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u5e38\u6570\u9636\u3001\u7ebf\u6027\u9636\u3001\u5e73\u65b9\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u4ee5\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u4e3a\u4f8b\uff0c\u5916\u5c42\u5faa\u73af \\(n - 1\\) \u6b21\uff0c\u5185\u5c42\u5faa\u73af \\(n-1, n-2, \\cdots, 2, 1\\) \u6b21\uff0c\u5e73\u5747\u4e3a \\(\\frac{n}{2}\\) \u6b21\uff0c\u56e0\u6b64\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \u3002</p> \\[ O((n - 1) \\frac{n}{2}) = O(n^2) \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(int[] nums) {\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(vector&lt;int&gt;&amp; nums) {\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09\"\"\"\ndef bubble_sort(nums):\ncount = 0  # \u8ba1\u6570\u5668\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(len(nums) - 1, 0, -1):\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\ntmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\ncount += 3  # \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunc bubbleSort(nums []int) int {\ncount := 0 // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\ntmp := nums[j]\nnums[j] = nums[j+1]\nnums[j+1] = tmp\ncount += 3 // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunction bubbleSort(nums) {\nlet count = 0; // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3; // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunction bubbleSort(nums: number[]): number {\nlet count = 0; // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3; // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{bubbleSort}\n</code></pre> time_complexity.cs<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(int[] nums)\n{\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunc bubbleSort(nums: inout [Int]) -&gt; Int {\nvar count = 0 // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in sequence(first: nums.count - 1, next: { $0 &gt; 0 + 1 ? $0 - 1 : nil }) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in 0 ..&lt; i {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\ncount += 3 // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09\nfn bubbleSort(nums: []i32) i32 {\nvar count: i32 = 0;  // \u8ba1\u6570\u5668 \n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: i32 = @intCast(i32, nums.len ) - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#o2n","title":"\u6307\u6570\u9636 \\(O(2^n)\\)","text":"<p>Note</p> <p>\u751f\u7269\u5b66\u79d1\u4e2d\u7684\u201c\u7ec6\u80de\u5206\u88c2\u201d\u5373\u662f\u6307\u6570\u9636\u589e\u957f\uff1a\u521d\u59cb\u72b6\u6001\u4e3a \\(1\\) \u4e2a\u7ec6\u80de\uff0c\u5206\u88c2\u4e00\u8f6e\u540e\u4e3a \\(2\\) \u4e2a\uff0c\u5206\u88c2\u4e24\u8f6e\u540e\u4e3a \\(4\\) \u4e2a\uff0c\u2026\u2026\uff0c\u5206\u88c2 \\(n\\) \u8f6e\u540e\u6709 \\(2^n\\) \u4e2a\u7ec6\u80de\u3002</p> <p>\u6307\u6570\u9636\u589e\u957f\u5f97\u975e\u5e38\u5feb\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4e00\u822c\u662f\u4e0d\u80fd\u88ab\u63a5\u53d7\u7684\u3002\u82e5\u4e00\u4e2a\u95ee\u9898\u4f7f\u7528\u300c\u66b4\u529b\u679a\u4e3e\u300d\u6c42\u89e3\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f \\(O(2^n)\\) \uff0c\u90a3\u4e48\u4e00\u822c\u90fd\u9700\u8981\u4f7f\u7528\u300c\u52a8\u6001\u89c4\u5212\u300d\u6216\u300c\u8d2a\u5fc3\u7b97\u6cd5\u300d\u7b49\u7b97\u6cd5\u6765\u6c42\u89e3\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n) {\nint count = 0, base = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n) {\nint count = 0, base = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\"\"\"\ndef exponential(n):\ncount, base = 0, 1\n# cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor _ in range(n):\nfor _ in range(base):\ncount += 1\nbase *= 2\n# count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09*/\nfunc exponential(n int) int {\ncount, base := 0, 1\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor i := 0; i &lt; n; i++ {\nfor j := 0; j &lt; base; j++ {\ncount++\n}\nbase *= 2\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction exponential(n) {\nlet count = 0,\nbase = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction exponential(n: number): number {\nlet count = 0,\nbase = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{exponential}\n</code></pre> time_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n)\n{\nint count = 0, bas = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++)\n{\nfor (int j = 0; j &lt; bas; j++)\n{\ncount++;\n}\nbas *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunc exponential(n: Int) -&gt; Int {\nvar count = 0\nvar base = 1\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor _ in 0 ..&lt; n {\nfor _ in 0 ..&lt; base {\ncount += 1\n}\nbase *= 2\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\nfn exponential(n: i32) i32 {\nvar count: i32 = 0;\nvar bas: i32 = 1;\nvar i: i32 = 0;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nwhile (i &lt; n) : (i += 1) {\nvar j: i32 = 0;\nwhile (j &lt; bas) : (j += 1) {\ncount += 1;\n}\nbas *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u6307\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u5728\u5b9e\u9645\u7b97\u6cd5\u4e2d\uff0c\u6307\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u9012\u5f52\u51fd\u6570\u3002\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u4e0d\u65ad\u5730\u4e00\u5206\u4e3a\u4e8c\uff0c\u5206\u88c2 \\(n\\) \u6b21\u540e\u505c\u6b62\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef exp_recur(n):\nif n == 1: return 1\nreturn exp_recur(n - 1) + exp_recur(n - 1) + 1\n</code></pre> time_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09*/\nfunc expRecur(n int) int {\nif n == 1 {\nreturn 1\n}\nreturn expRecur(n-1) + expRecur(n-1) + 1\n}\n</code></pre> time_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction expRecur(n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction expRecur(n: number): number {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{expRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n)\n{\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc expRecur(n: Int) -&gt; Int {\nif n == 1 {\nreturn 1\n}\nreturn expRecur(n: n - 1) + expRecur(n: n - 1) + 1\n}\n</code></pre> time_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn expRecur(n: i32) i32 {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#olog-n","title":"\u5bf9\u6570\u9636 \\(O(\\log n)\\)","text":"<p>\u5bf9\u6570\u9636\u4e0e\u6307\u6570\u9636\u6b63\u597d\u76f8\u53cd\uff0c\u540e\u8005\u53cd\u6620\u201c\u6bcf\u8f6e\u589e\u52a0\u5230\u4e24\u500d\u7684\u60c5\u51b5\u201d\uff0c\u800c\u524d\u8005\u53cd\u6620\u201c\u6bcf\u8f6e\u7f29\u51cf\u5230\u4e00\u534a\u7684\u60c5\u51b5\u201d\u3002\u5bf9\u6570\u9636\u4ec5\u6b21\u4e8e\u5e38\u6570\u9636\uff0c\u65f6\u95f4\u589e\u957f\u5f97\u5f88\u6162\uff0c\u662f\u7406\u60f3\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002</p> <p>\u5bf9\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u300c\u4e8c\u5206\u67e5\u627e\u300d\u548c\u300c\u5206\u6cbb\u7b97\u6cd5\u300d\u4e2d\uff0c\u4f53\u73b0\u201c\u4e00\u5206\u4e3a\u591a\u201d\u3001\u201c\u5316\u7e41\u4e3a\u7b80\u201d\u7684\u7b97\u6cd5\u601d\u60f3\u3002</p> <p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u7531\u4e8e\u6bcf\u8f6e\u7f29\u51cf\u5230\u4e00\u534a\uff0c\u56e0\u6b64\u5faa\u73af\u6b21\u6570\u662f \\(\\log_2 n\\) \uff0c\u5373 \\(2^n\\) \u7684\u53cd\u51fd\u6570\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n) {\nint count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n) {\nint count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\"\"\"\ndef logarithmic(n):\ncount = 0\nwhile n &gt; 1:\nn = n / 2\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09*/\nfunc logarithmic(n float64) int {\ncount := 0\nfor n &gt; 1 {\nn = n / 2\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction logarithmic(n) {\nlet count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction logarithmic(n: number): number {\nlet count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{logarithmic}\n</code></pre> time_complexity.cs<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n)\n{\nint count = 0;\nwhile (n &gt; 1)\n{\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunc logarithmic(n: Int) -&gt; Int {\nvar count = 0\nvar n = n\nwhile n &gt; 1 {\nn = n / 2\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\nfn logarithmic(n: f32) i32 {\nvar count: i32 = 0;\nvar n_var = n;\nwhile (n_var &gt; 1)\n{\nn_var = n_var / 2;\ncount +=1;\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u4e0e\u6307\u6570\u9636\u7c7b\u4f3c\uff0c\u5bf9\u6570\u9636\u4e5f\u5e38\u51fa\u73b0\u4e8e\u9012\u5f52\u51fd\u6570\u3002\u4ee5\u4e0b\u4ee3\u7801\u5f62\u6210\u4e86\u4e00\u4e2a\u9ad8\u5ea6\u4e3a \\(\\log_2 n\\) \u7684\u9012\u5f52\u6811\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef log_recur(n):\nif n &lt;= 1: return 0\nreturn log_recur(n / 2) + 1\n</code></pre> time_complexity.go<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09*/\nfunc logRecur(n float64) int {\nif n &lt;= 1 {\nreturn 0\n}\nreturn logRecur(n/2) + 1\n}\n</code></pre> time_complexity.js<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction logRecur(n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction logRecur(n: number): number {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{logRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n)\n{\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc logRecur(n: Int) -&gt; Int {\nif n &lt;= 1 {\nreturn 0\n}\nreturn logRecur(n: n / 2) + 1\n}\n</code></pre> time_complexity.zig<pre><code>// \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn logRecur(n: f32) i32 {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on-log-n","title":"\u7ebf\u6027\u5bf9\u6570\u9636 \\(O(n \\log n)\\)","text":"<p>\u7ebf\u6027\u5bf9\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u5d4c\u5957\u5faa\u73af\u4e2d\uff0c\u4e24\u5c42\u5faa\u73af\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u522b\u4e3a \\(O(\\log n)\\) \u548c \\(O(n)\\) \u3002</p> <p>\u4e3b\u6d41\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f \\(O(n \\log n )\\) \uff0c\u4f8b\u5982\u5feb\u901f\u6392\u5e8f\u3001\u5f52\u5e76\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u7b49\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n) {\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n) {\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u5bf9\u6570\u9636 \"\"\"\ndef linear_log_recur(n):\nif n &lt;= 1: return 1\ncount = linear_log_recur(n // 2) + \\\n            linear_log_recur(n // 2)\nfor _ in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunc linearLogRecur(n float64) int {\nif n &lt;= 1 {\nreturn 1\n}\ncount := linearLogRecur(n/2) +\nlinearLogRecur(n/2)\nfor i := 0.0; i &lt; n; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunction linearLogRecur(n) {\nif (n &lt;= 1) return 1;\nlet count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (let i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunction linearLogRecur(n: number): number {\nif (n &lt;= 1) return 1;\nlet count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (let i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{linearLogRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n)\n{\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) +\nlinearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++)\n{\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunc linearLogRecur(n: Double) -&gt; Int {\nif n &lt;= 1 {\nreturn 1\n}\nvar count = linearLogRecur(n: n / 2) + linearLogRecur(n: n / 2)\nfor _ in 0 ..&lt; Int(n) {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u5bf9\u6570\u9636\nfn linearLogRecur(n: f32) i32 {\nif (n &lt;= 1) return 1;\nvar count: i32 = linearLogRecur(n / 2) +\nlinearLogRecur(n / 2);\nvar i: f32 = 0;\nwhile (i &lt; n) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u7ebf\u6027\u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/time_complexity/#on_1","title":"\u9636\u4e58\u9636 \\(O(n!)\\)","text":"<p>\u9636\u4e58\u9636\u5bf9\u5e94\u6570\u5b66\u4e0a\u7684\u300c\u5168\u6392\u5217\u300d\u3002\u5373\u7ed9\u5b9a \\(n\\) \u4e2a\u4e92\u4e0d\u91cd\u590d\u7684\u5143\u7d20\uff0c\u6c42\u5176\u6240\u6709\u53ef\u80fd\u7684\u6392\u5217\u65b9\u6848\uff0c\u5219\u65b9\u6848\u6570\u91cf\u4e3a</p> \\[ n! = n \\times (n - 1) \\times (n - 2) \\times \\cdots \\times 2 \\times 1 \\] <p>\u9636\u4e58\u5e38\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\u3002\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u7b2c\u4e00\u5c42\u5206\u88c2\u51fa \\(n\\) \u4e2a\uff0c\u7b2c\u4e8c\u5c42\u5206\u88c2\u51fa \\(n - 1\\) \u4e2a\uff0c\u2026\u2026 \uff0c\u76f4\u81f3\u5230\u7b2c \\(n\\) \u5c42\u65f6\u7ec8\u6b62\u5206\u88c2\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n) {\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n) {\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef factorial_recur(n):\nif n == 0: return 1\ncount = 0\n# \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor _ in range(n):\ncount += factorial_recur(n - 1)\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc factorialRecur(n int) int {\nif n == 0 {\nreturn 1\n}\ncount := 0\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor i := 0; i &lt; n; i++ {\ncount += factorialRecur(n - 1)\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction factorialRecur(n) {\nif (n == 0) return 1;\nlet count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (let i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction factorialRecur(n: number): number {\nif (n == 0) return 1;\nlet count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (let i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{factorialRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n)\n{\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++)\n{\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc factorialRecur(n: Int) -&gt; Int {\nif n == 0 {\nreturn 1\n}\nvar count = 0\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor _ in 0 ..&lt; n {\ncount += factorialRecur(n: n - 1)\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn factorialRecur(n: i32) i32 {\nif (n == 0) return 1;\nvar count: i32 = 0;\nvar i: i32 = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nwhile (i &lt; n) : (i += 1) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u9636\u4e58\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/time_complexity/#226","title":"2.2.6. \u6700\u5dee\u3001\u6700\u4f73\u3001\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6","text":"<p>\u67d0\u4e9b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u662f\u6052\u5b9a\u7684\uff0c\u800c\u662f\u4e0e\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\u6709\u5173\u3002\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8f93\u5165\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u6570\u7ec4 <code>nums</code> \uff0c\u5176\u4e2d <code>nums</code> \u7531\u4ece \\(1\\) \u81f3 \\(n\\) \u7684\u6570\u5b57\u7ec4\u6210\uff0c\u4f46\u5143\u7d20\u987a\u5e8f\u662f\u968f\u673a\u6253\u4e71\u7684\uff1b\u7b97\u6cd5\u7684\u4efb\u52a1\u662f\u8fd4\u56de\u5143\u7d20 \\(1\\) \u7684\u7d22\u5f15\u3002\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u4ee5\u4e0b\u7ed3\u8bba\uff1a</p> <ul> <li>\u5f53 <code>nums = [?, ?, ..., 1]</code>\uff0c\u5373\u5f53\u672b\u5c3e\u5143\u7d20\u662f \\(1\\) \u65f6\uff0c\u5219\u9700\u5b8c\u6574\u904d\u5386\u6570\u7ec4\uff0c\u6b64\u65f6\u8fbe\u5230 \u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1b</li> <li>\u5f53 <code>nums = [1, ?, ?, ...]</code> \uff0c\u5373\u5f53\u9996\u4e2a\u6570\u5b57\u4e3a \\(1\\) \u65f6\uff0c\u65e0\u8bba\u6570\u7ec4\u591a\u957f\u90fd\u4e0d\u9700\u8981\u7ee7\u7eed\u904d\u5386\uff0c\u6b64\u65f6\u8fbe\u5230 \u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 \\(\\Omega(1)\\) \uff1b</li> </ul> <p>\u300c\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\u300d\u4f7f\u7528\u5927 \\(O\\) \u8bb0\u53f7\u8868\u793a\uff0c\u4ee3\u8868\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u3002\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u300c\u51fd\u6570\u6e10\u8fd1\u4e0b\u754c\u300d\u7528 \\(\\Omega\\) \u8bb0\u53f7\uff08Omega Notation\uff09\u6765\u8868\u793a\uff0c\u4ee3\u8868\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig worst_best_time_complexity.java<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint[] randomNumbers(int n) {\nInteger[] nums = new Integer[n];\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nCollections.shuffle(Arrays.asList(nums));\n// Integer[] -&gt; int[]\nint[] res = new int[n];\nfor (int i = 0; i &lt; n; i++) {\nres[i] = nums[i];\n}\nreturn res;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int[] nums) {\nfor (int i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.cpp<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nvector&lt;int&gt; randomNumbers(int n) {\nvector&lt;int&gt; nums(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u4f7f\u7528\u7cfb\u7edf\u65f6\u95f4\u751f\u6210\u968f\u673a\u79cd\u5b50\nunsigned seed = chrono::system_clock::now().time_since_epoch().count();\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nshuffle(nums.begin(), nums.end(), default_random_engine(seed));\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(vector&lt;int&gt;&amp; nums) {\nfor (int i = 0; i &lt; nums.size(); i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.py<pre><code>\"\"\" \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a: 1, 2, ..., n \uff0c\u987a\u5e8f\u88ab\u6253\u4e71 \"\"\"\ndef random_numbers(n):\n# \u751f\u6210\u6570\u7ec4 nums =: 1, 2, 3, ..., n\nnums = [i for i in range(1, n + 1)]\n# \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nrandom.shuffle(nums)\nreturn nums\n\"\"\" \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 \"\"\"\ndef find_one(nums):\nfor i in range(len(nums)):\n# \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n# \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1:\nreturn i\nreturn -1\n</code></pre> worst_best_time_complexity.go<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunc randomNumbers(n int) []int {\nnums := make([]int, n)\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor i := 0; i &lt; n; i++ {\nnums[i] = i + 1\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nrand.Shuffle(len(nums), func(i, j int) {\nnums[i], nums[j] = nums[j], nums[i]\n})\nreturn nums\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunc findOne(nums []int) int {\nfor i := 0; i &lt; len(nums); i++ {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1 {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> worst_best_time_complexity.js<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunction randomNumbers(n) {\nconst nums = Array(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (let i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (let i = 0; i &lt; n; i++) {\nconst r = Math.floor(Math.random() * (i + 1));\nconst temp = nums[i];\nnums[i] = nums[r];\nnums[r] = temp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunction findOne(nums) {\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] === 1) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.ts<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunction randomNumbers(n: number): number[] {\nconst nums = Array(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (let i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (let i = 0; i &lt; n; i++) {\nconst r = Math.floor(Math.random() * (i + 1));\nconst temp = nums[i];\nnums[i] = nums[r];\nnums[r] = temp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunction findOne(nums: number[]): number {\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] === 1) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.c<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint *randomNumbers(int n) {\n// \u5206\u914d\u5806\u533a\u5185\u5b58\uff08\u521b\u5efa\u4e00\u7ef4\u53ef\u53d8\u957f\u6570\u7ec4\uff1a\u6570\u7ec4\u4e2d\u5143\u7d20\u6570\u91cf\u4e3an\uff0c\u5143\u7d20\u7c7b\u578b\u4e3aint\uff09\nint *nums = (int *)malloc(n * sizeof(int));\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20 \nfor (int i = n - 1; i &gt; 0; i--) {\nint j = rand() % (i + 1);\nint temp = nums[i];\nnums[i] = nums[j];\nnums[j] = temp; }\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int *nums, int n) {\nfor (int i = 0; i &lt; n; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1) return i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.cs<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint[] randomNumbers(int n)\n{\nint[] nums = new int[n];\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++)\n{\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nvar index = new Random().Next(i, nums.Length);\nvar tmp = nums[i];\nvar ran = nums[index];\nnums[i] = ran;\nnums[index] = tmp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int[] nums)\n{\nfor (int i = 0; i &lt; nums.Length; i++)\n{\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.swift<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunc randomNumbers(n: Int) -&gt; [Int] {\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nvar nums = Array(1 ... n)\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nnums.shuffle()\nreturn nums\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunc findOne(nums: [Int]) -&gt; Int {\nfor i in nums.indices {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1 {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> worst_best_time_complexity.zig<pre><code>// \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71\npub fn randomNumbers(comptime n: usize) [n]i32 {\nvar nums: [n]i32 = undefined;\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (nums) |*num, i| {\nnum.* = @intCast(i32, i) + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nconst rand = std.crypto.random;\nrand.shuffle(i32, &amp;nums);\nreturn nums;\n}\n// \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15\npub fn findOne(nums: []i32) i32 {\nfor (nums) |num, i| {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (num == 1) return @intCast(i32, i);\n}\nreturn -1;\n}\n</code></pre> <p>Tip</p> <p>\u6211\u4eec\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u5f88\u5c11\u4f7f\u7528\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u56e0\u4e3a\u5f80\u5f80\u53ea\u6709\u5f88\u5c0f\u6982\u7387\u4e0b\u624d\u80fd\u8fbe\u5230\uff0c\u4f1a\u5e26\u6765\u4e00\u5b9a\u7684\u8bef\u5bfc\u6027\u3002\u53cd\u4e4b\uff0c\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u6700\u4e3a\u5b9e\u7528\uff0c\u56e0\u4e3a\u5b83\u7ed9\u51fa\u4e86\u4e00\u4e2a\u201c\u6548\u7387\u5b89\u5168\u503c\u201d\uff0c\u8ba9\u6211\u4eec\u53ef\u4ee5\u653e\u5fc3\u5730\u4f7f\u7528\u7b97\u6cd5\u3002</p> <p>\u4ece\u4e0a\u8ff0\u793a\u4f8b\u53ef\u4ee5\u770b\u51fa\uff0c\u6700\u5dee\u6216\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u53ea\u51fa\u73b0\u5728\u201c\u7279\u6b8a\u5206\u5e03\u7684\u6570\u636e\u201d\u4e2d\uff0c\u8fd9\u4e9b\u60c5\u51b5\u7684\u51fa\u73b0\u6982\u7387\u5f80\u5f80\u5f88\u5c0f\uff0c\u56e0\u6b64\u5e76\u4e0d\u80fd\u6700\u771f\u5b9e\u5730\u53cd\u6620\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u3002\u76f8\u5bf9\u5730\uff0c\u300c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u53ef\u4ee5\u4f53\u73b0\u7b97\u6cd5\u5728\u968f\u673a\u8f93\u5165\u6570\u636e\u4e0b\u7684\u8fd0\u884c\u6548\u7387\uff0c\u7528 \\(\\Theta\\) \u8bb0\u53f7\uff08Theta Notation\uff09\u6765\u8868\u793a\u3002</p> <p>\u5bf9\u4e8e\u90e8\u5206\u7b97\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u63a8\u7b97\u51fa\u968f\u673a\u6570\u636e\u5206\u5e03\u4e0b\u7684\u5e73\u5747\u60c5\u51b5\u3002\u6bd4\u5982\u4e0a\u8ff0\u793a\u4f8b\uff0c\u7531\u4e8e\u8f93\u5165\u6570\u7ec4\u662f\u88ab\u6253\u4e71\u7684\uff0c\u56e0\u6b64\u5143\u7d20 \\(1\\) \u51fa\u73b0\u5728\u4efb\u610f\u7d22\u5f15\u7684\u6982\u7387\u90fd\u662f\u76f8\u7b49\u7684\uff0c\u90a3\u4e48\u7b97\u6cd5\u7684\u5e73\u5747\u5faa\u73af\u6b21\u6570\u5219\u662f\u6570\u7ec4\u957f\u5ea6\u7684\u4e00\u534a \\(\\frac{n}{2}\\) \uff0c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(\\Theta(\\frac{n}{2}) = \\Theta(n)\\) \u3002</p> <p>\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5c24\u5176\u662f\u8f83\u4e3a\u590d\u6742\u7684\u7b97\u6cd5\uff0c\u8ba1\u7b97\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u6bd4\u8f83\u56f0\u96be\uff0c\u56e0\u4e3a\u5f88\u96be\u7b80\u4fbf\u5730\u5206\u6790\u51fa\u5728\u6570\u636e\u5206\u5e03\u4e0b\u7684\u6574\u4f53\u6570\u5b66\u671f\u671b\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e00\u822c\u4f7f\u7528\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u4f5c\u4e3a\u7b97\u6cd5\u6548\u7387\u7684\u8bc4\u5224\u6807\u51c6\u3002</p> <p>\u4e3a\u4ec0\u4e48\u5f88\u5c11\u770b\u5230 \\(\\Theta\\) \u7b26\u53f7\uff1f</p> <p>\u5b9e\u9645\u4e2d\u6211\u4eec\u7ecf\u5e38\u4f7f\u7528\u300c\u5927 \\(O\\) \u7b26\u53f7\u300d\u6765\u8868\u793a\u300c\u5e73\u5747\u590d\u6742\u5ea6\u300d\uff0c\u8fd9\u6837\u4e25\u683c\u610f\u4e49\u4e0a\u6765\u8bf4\u662f\u4e0d\u89c4\u8303\u7684\u3002\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a \\(O\\) \u7b26\u53f7\u5b9e\u5728\u662f\u592a\u6717\u6717\u4e0a\u53e3\u4e86\u3002\u5982\u679c\u5728\u672c\u4e66\u548c\u5176\u4ed6\u8d44\u6599\u4e2d\u770b\u5230\u7c7b\u4f3c \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \u7684\u8868\u8ff0\uff0c\u8bf7\u4f60\u76f4\u63a5\u7406\u89e3\u4e3a \\(\\Theta(n)\\) \u5373\u53ef\u3002</p>"},{"location":"chapter_data_structure/classification_of_data_structure/","title":"3.2. \u6570\u636e\u7ed3\u6784\u5206\u7c7b","text":"<p>\u6570\u636e\u7ed3\u6784\u4e3b\u8981\u53ef\u6839\u636e\u300c\u903b\u8f91\u7ed3\u6784\u300d\u548c\u300c\u7269\u7406\u7ed3\u6784\u300d\u4e24\u79cd\u89d2\u5ea6\u8fdb\u884c\u5206\u7c7b\u3002</p>"},{"location":"chapter_data_structure/classification_of_data_structure/#321","title":"3.2.1. \u903b\u8f91\u7ed3\u6784\uff1a\u7ebf\u6027\u4e0e\u975e\u7ebf\u6027","text":"<p>\u300c\u903b\u8f91\u7ed3\u6784\u300d\u53cd\u6620\u4e86\u6570\u636e\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\u3002\u6570\u7ec4\u548c\u94fe\u8868\u7684\u6570\u636e\u6309\u7167\u987a\u5e8f\u4f9d\u6b21\u6392\u5217\uff0c\u53cd\u6620\u4e86\u6570\u636e\u95f4\u7684\u7ebf\u6027\u5173\u7cfb\uff1b\u6811\u4ece\u9876\u81f3\u5e95\u6309\u5c42\u7ea7\u6392\u5217\uff0c\u53cd\u6620\u4e86\u7956\u5148\u4e0e\u540e\u4ee3\u4e4b\u95f4\u7684\u6d3e\u751f\u5173\u7cfb\uff1b\u56fe\u7531\u7ed3\u70b9\u548c\u8fb9\u7ec4\u6210\uff0c\u53cd\u6620\u4e86\u590d\u6742\u7f51\u7edc\u5173\u7cfb\u3002</p> <p>\u6211\u4eec\u4e00\u822c\u5c06\u903b\u8f91\u7ed3\u6784\u5206\u4e3a\u300c\u7ebf\u6027\u300d\u548c\u300c\u975e\u7ebf\u6027\u300d\u4e24\u79cd\u3002\u201c\u7ebf\u6027\u201d\u8fd9\u4e2a\u6982\u5ff5\u5f88\u76f4\u89c2\uff0c\u5373\u8868\u660e\u6570\u636e\u5728\u903b\u8f91\u5173\u7cfb\u4e0a\u662f\u6392\u6210\u4e00\u6761\u7ebf\u7684\uff1b\u800c\u5982\u679c\u6570\u636e\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\u662f\u975e\u7ebf\u6027\u7684\uff08\u4f8b\u5982\u662f\u7f51\u72b6\u6216\u6811\u72b6\u7684\uff09\uff0c\u90a3\u4e48\u5c31\u662f\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002</p> <ul> <li>\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff1a\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\uff1b</li> <li>\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff1a\u6811\u3001\u56fe\u3001\u5806\u3001\u54c8\u5e0c\u8868\uff1b</li> </ul> <p></p> <p> Fig. \u7ebf\u6027\u4e0e\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784 </p>"},{"location":"chapter_data_structure/classification_of_data_structure/#322","title":"3.2.2. \u7269\u7406\u7ed3\u6784\uff1a\u8fde\u7eed\u4e0e\u79bb\u6563","text":"<p>Note</p> <p>\u82e5\u611f\u5230\u9605\u8bfb\u56f0\u96be\uff0c\u5efa\u8bae\u5148\u770b\u5b8c\u4e0b\u4e2a\u7ae0\u8282\u300c\u6570\u7ec4\u4e0e\u94fe\u8868\u300d\uff0c\u518d\u56de\u8fc7\u5934\u6765\u7406\u89e3\u7269\u7406\u7ed3\u6784\u7684\u542b\u4e49\u3002</p> <p>\u300c\u7269\u7406\u7ed3\u6784\u300d\u53cd\u6620\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u5b58\u50a8\u65b9\u5f0f\u3002\u4ece\u672c\u8d28\u4e0a\u770b\uff0c\u5206\u522b\u662f \u6570\u7ec4\u7684\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8 \u548c \u94fe\u8868\u7684\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\u3002\u7269\u7406\u7ed3\u6784\u4ece\u5e95\u5c42\u4e0a\u51b3\u5b9a\u4e86\u6570\u636e\u7684\u8bbf\u95ee\u3001\u66f4\u65b0\u3001\u589e\u5220\u7b49\u64cd\u4f5c\u65b9\u6cd5\uff0c\u5728\u65f6\u95f4\u6548\u7387\u548c\u7a7a\u95f4\u6548\u7387\u65b9\u9762\u5448\u73b0\u51fa\u6b64\u6d88\u5f7c\u957f\u7684\u7279\u6027\u3002</p> <p></p> <p> Fig. \u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\u4e0e\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8 </p> <p>\u6240\u6709\u6570\u636e\u7ed3\u6784\u90fd\u662f\u57fa\u4e8e\u6570\u7ec4\u3001\u6216\u94fe\u8868\u3001\u6216\u4e24\u8005\u7ec4\u5408\u5b9e\u73b0\u7684\u3002\u4f8b\u5982\u6808\u548c\u961f\u5217\uff0c\u65e2\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u5b9e\u73b0\u3001\u4e5f\u53ef\u4ee5\u4f7f\u7528\u94fe\u8868\u5b9e\u73b0\uff0c\u800c\u4f8b\u5982\u54c8\u5e0c\u8868\uff0c\u5176\u5b9e\u73b0\u540c\u65f6\u5305\u542b\u4e86\u6570\u7ec4\u548c\u94fe\u8868\u3002</p> <ul> <li>\u57fa\u4e8e\u6570\u7ec4\u53ef\u5b9e\u73b0\uff1a\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\u3001\u6811\u3001\u5806\u3001\u56fe\u3001\u77e9\u9635\u3001\u5f20\u91cf\uff08\u7ef4\u5ea6 \\(\\geq 3\\) \u7684\u6570\u7ec4\uff09\u7b49\uff1b</li> <li>\u57fa\u4e8e\u94fe\u8868\u53ef\u5b9e\u73b0\uff1a\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\u3001\u6811\u3001\u5806\u3001\u56fe\u7b49\uff1b</li> </ul> <p>\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u4e5f\u88ab\u79f0\u4e3a\u300c\u9759\u6001\u6570\u636e\u7ed3\u6784\u300d\uff0c\u8fd9\u610f\u5473\u7740\u8be5\u6570\u636e\u7ed3\u6784\u5728\u5728\u88ab\u521d\u59cb\u5316\u540e\uff0c\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u76f8\u53cd\u5730\uff0c\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u88ab\u79f0\u4e3a\u300c\u52a8\u6001\u6570\u636e\u7ed3\u6784\u300d\uff0c\u8be5\u6570\u636e\u7ed3\u6784\u5728\u88ab\u521d\u59cb\u5316\u540e\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u5728\u7a0b\u5e8f\u8fd0\u884c\u4e2d\u4fee\u6539\u5176\u957f\u5ea6\u3002</p> <p>Tip</p> <p>\u6570\u7ec4\u4e0e\u94fe\u8868\u662f\u5176\u4ed6\u6240\u6709\u6570\u636e\u7ed3\u6784\u7684\u201c\u5e95\u5c42\u79ef\u6728\u201d\uff0c\u5efa\u8bae\u8bfb\u8005\u4e00\u5b9a\u8981\u591a\u82b1\u4e9b\u65f6\u95f4\u4e86\u89e3\u3002</p>"},{"location":"chapter_data_structure/data_and_memory/","title":"3.1. \u6570\u636e\u4e0e\u5185\u5b58","text":""},{"location":"chapter_data_structure/data_and_memory/#311","title":"3.1.1. \u57fa\u672c\u6570\u636e\u7c7b\u578b","text":"<p>\u8c08\u5230\u8ba1\u7b97\u673a\u4e2d\u7684\u6570\u636e\uff0c\u6211\u4eec\u80fd\u591f\u60f3\u5230\u6587\u672c\u3001\u56fe\u7247\u3001\u89c6\u9891\u3001\u8bed\u97f3\u30013D \u6a21\u578b\u7b49\u7b49\uff0c\u8fd9\u4e9b\u6570\u636e\u867d\u7136\u7ec4\u7ec7\u5f62\u5f0f\u4e0d\u540c\uff0c\u4f46\u662f\u6709\u4e00\u4e2a\u5171\u540c\u70b9\uff0c\u5373\u90fd\u662f\u7531\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u6784\u6210\u7684\u3002</p> <p>\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u662f CPU \u53ef\u4ee5\u76f4\u63a5\u8fdb\u884c\u8fd0\u7b97\u7684\u7c7b\u578b\uff0c\u5728\u7b97\u6cd5\u4e2d\u76f4\u63a5\u88ab\u4f7f\u7528\u3002</p> <ul> <li>\u300c\u6574\u6570\u300d\u6839\u636e\u4e0d\u540c\u7684\u957f\u5ea6\u5206\u4e3a byte, short, int, long \uff0c\u6839\u636e\u7b97\u6cd5\u9700\u6c42\u9009\u7528\uff0c\u5373\u5728\u6ee1\u8db3\u53d6\u503c\u8303\u56f4\u7684\u60c5\u51b5\u4e0b\u5c3d\u91cf\u51cf\u5c0f\u5185\u5b58\u7a7a\u95f4\u5360\u7528\uff1b</li> <li>\u300c\u6d6e\u70b9\u6570\u300d\u4ee3\u8868\u5c0f\u6570\uff0c\u6839\u636e\u957f\u5ea6\u5206\u4e3a float, double \uff0c\u540c\u6837\u6839\u636e\u7b97\u6cd5\u7684\u5b9e\u9645\u9700\u6c42\u9009\u7528\uff1b</li> <li>\u300c\u5b57\u7b26\u300d\u5728\u8ba1\u7b97\u673a\u4e2d\u662f\u4ee5\u5b57\u7b26\u96c6\u7684\u5f62\u5f0f\u4fdd\u5b58\u7684\uff0cchar \u7684\u503c\u5b9e\u9645\u4e0a\u662f\u6570\u5b57\uff0c\u4ee3\u8868\u5b57\u7b26\u96c6\u4e2d\u7684\u7f16\u53f7\uff0c\u8ba1\u7b97\u673a\u901a\u8fc7\u5b57\u7b26\u96c6\u67e5\u8868\u6765\u5b8c\u6210\u7f16\u53f7\u5230\u5b57\u7b26\u7684\u8f6c\u6362\u3002\u5360\u7528\u7a7a\u95f4\u4e0e\u5177\u4f53\u7f16\u7a0b\u8bed\u8a00\u6709\u5173\uff0c\u901a\u5e38\u4e3a 2 bytes \u6216 1 byte \uff1b</li> <li>\u300c\u5e03\u5c14\u300d\u4ee3\u8868\u903b\u8f91\u4e2d\u7684 \u201c\u662f\u201d \u4e0e \u201c\u5426\u201d \uff0c\u5176\u5360\u7528\u7a7a\u95f4\u9700\u8981\u5177\u4f53\u6839\u636e\u7f16\u7a0b\u8bed\u8a00\u786e\u5b9a\uff0c\u901a\u5e38\u4e3a 1 byte \u6216 1 bit \uff1b</li> </ul> <p>\u5b57\u8282\u4e0e\u6bd4\u7279</p> <p>1 \u5b57\u8282 (byte) = 8 \u6bd4\u7279 (bit) \uff0c 1 \u6bd4\u7279\u5373\u6700\u57fa\u672c\u7684 1 \u4e2a\u4e8c\u8fdb\u5236\u4f4d</p> <p> Table. Java \u7684\u57fa\u672c\u6570\u636e\u7c7b\u578b </p> \u7c7b\u522b \u7b26\u53f7 \u5360\u7528\u7a7a\u95f4 \u53d6\u503c\u8303\u56f4 \u9ed8\u8ba4\u503c \u6574\u6570 byte 1 byte \\(-2^7\\) ~ \\(2^7 - 1\\) ( \\(-128\\) ~ \\(127\\) ) \\(0\\) short 2 bytes \\(-2^{15}\\) ~ \\(2^{15} - 1\\) \\(0\\) int 4 bytes \\(-2^{31}\\) ~ \\(2^{31} - 1\\) \\(0\\) long 8 bytes \\(-2^{63}\\) ~ \\(2^{63} - 1\\) \\(0\\) \u6d6e\u70b9\u6570 float 4 bytes \\(-3.4 \\times 10^{38}\\) ~ \\(3.4 \\times 10^{38}\\) \\(0.0\\) f double 8 bytes \\(-1.7 \\times 10^{308}\\) ~ \\(1.7 \\times 10^{308}\\) \\(0.0\\) \u5b57\u7b26 char 2 bytes / 1 byte \\(0\\) ~ \\(2^{16} - 1\\) \\(0\\) \u5e03\u5c14 boolean(bool) 1 byte / 1 bit \\(\\text{true}\\) \u6216 \\(\\text{false}\\) \\(\\text{false}\\) <p>Tip</p> <p>\u4ee5\u4e0a\u8868\u683c\u4e2d\uff0c\u52a0\u7c97\u9879\u5728\u300c\u7b97\u6cd5\u9898\u300d\u4e2d\u6700\u4e3a\u5e38\u7528\u3002\u6b64\u8868\u683c\u65e0\u9700\u786c\u80cc\uff0c\u5927\u81f4\u7406\u89e3\u5373\u53ef\uff0c\u9700\u8981\u65f6\u53ef\u4ee5\u901a\u8fc7\u67e5\u8868\u6765\u56de\u5fc6\u3002</p> <p>\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u4e0e\u300c\u6570\u636e\u7ed3\u6784\u300d\u4e4b\u95f4\u7684\u8054\u7cfb\u4e0e\u533a\u522b</p> <p>\u6211\u4eec\u77e5\u9053\uff0c\u6570\u636e\u7ed3\u6784\u662f\u5728\u8ba1\u7b97\u673a\u4e2d \u7ec4\u7ec7\u4e0e\u5b58\u50a8\u6570\u636e\u7684\u65b9\u5f0f\uff0c\u5b83\u7684\u4e3b\u8bed\u662f\u201c\u7ed3\u6784\u201d\uff0c\u800c\u4e0d\u662f\u201c\u6570\u636e\u201d\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u8868\u793a\u201c\u4e00\u6392\u6570\u5b57\u201d\uff0c\u81ea\u7136\u5e94\u8be5\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u8fd9\u4e2a\u6570\u636e\u7ed3\u6784\u3002\u6570\u7ec4\u7684\u5b58\u50a8\u65b9\u5f0f\u4f7f\u4e4b\u53ef\u4ee5\u8868\u793a\u6570\u5b57\u7684\u76f8\u90bb\u5173\u7cfb\u3001\u5148\u540e\u5173\u7cfb\u7b49\u4e00\u7cfb\u5217\u6211\u4eec\u9700\u8981\u7684\u4fe1\u606f\uff0c\u4f46\u81f3\u4e8e\u5176\u4e2d\u5b58\u50a8\u7684\u662f\u6574\u6570 int \uff0c\u8fd8\u662f\u5c0f\u6570 float \uff0c\u6216\u662f\u5b57\u7b26 char \uff0c\u5219\u4e0e\u6240\u8c13\u7684\u6570\u636e\u7684\u7ed3\u6784\u65e0\u5173\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint[] numbers = new int[5];\nfloat[] decimals = new float[5];\nchar[] characters = new char[5];\nboolean[] booleans = new boolean[5];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint numbers[5];\nfloat decimals[5];\nchar characters[5];\nbool booleans[5];\n</code></pre> <pre><code>\"\"\" Python \u7684 list \u53ef\u4ee5\u81ea\u7531\u5b58\u50a8\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u548c\u5bf9\u8c61 \"\"\"\nlist = [0, 0.0, 'a', False]\n</code></pre> <pre><code>// \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d\nvar numbers = [5]int{}\nvar decimals = [5]float64{}\nvar characters = [5]byte{}\nvar booleans = [5]bool{}\n</code></pre> <pre><code>/* JavaScript \u7684\u6570\u7ec4\u53ef\u4ee5\u81ea\u7531\u5b58\u50a8\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u548c\u5bf9\u8c61 */\nconst array = [0, 0.0, 'a', false];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nconst numbers: number[] = [];\nconst characters: string[] = [];\nconst booleans: boolean[] = [];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint numbers[10];\nfloat decimals[10];\nchar characters[10];\nbool booleans[10];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint[] numbers = new int[5];\nfloat[] decimals = new float[5];\nchar[] characters = new char[5];\nbool[] booleans = new bool[5];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nlet numbers = Array(repeating: Int(), count: 5)\nlet decimals = Array(repeating: Double(), count: 5)\nlet characters = Array(repeating: Character(\"a\"), count: 5)\nlet booleans = Array(repeating: Bool(), count: 5)\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_data_structure/data_and_memory/#312","title":"3.1.2. \u8ba1\u7b97\u673a\u5185\u5b58","text":"<p>\u5728\u8ba1\u7b97\u673a\u4e2d\uff0c\u5185\u5b58\u548c\u786c\u76d8\u662f\u4e24\u79cd\u4e3b\u8981\u7684\u5b58\u50a8\u786c\u4ef6\u8bbe\u5907\u3002\u300c\u786c\u76d8\u300d\u4e3b\u8981\u7528\u4e8e\u957f\u671f\u5b58\u50a8\u6570\u636e\uff0c\u5bb9\u91cf\u8f83\u5927\uff08\u901a\u5e38\u53ef\u8fbe\u5230 TB \u7ea7\u522b\uff09\u3001\u901f\u5ea6\u8f83\u6162\u3002\u300c\u5185\u5b58\u300d\u7528\u4e8e\u8fd0\u884c\u7a0b\u5e8f\u65f6\u6682\u5b58\u6570\u636e\uff0c\u901f\u5ea6\u8f83\u5feb\uff0c\u4f46\u5bb9\u91cf\u8f83\u5c0f\uff08\u901a\u5e38\u4e3a GB \u7ea7\u522b\uff09\u3002</p> <p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\uff0c\u76f8\u5173\u6570\u636e\u90fd\u88ab\u5b58\u50a8\u5728\u5185\u5b58\u4e2d\u3002\u4e0b\u56fe\u5c55\u793a\u4e86\u4e00\u4e2a\u8ba1\u7b97\u673a\u5185\u5b58\u6761\uff0c\u5176\u4e2d\u6bcf\u4e2a\u9ed1\u8272\u65b9\u5757\u90fd\u5305\u542b\u4e00\u5757\u5185\u5b58\u7a7a\u95f4\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u5185\u5b58\u60f3\u8c61\u6210\u4e00\u4e2a\u5de8\u5927\u7684 Excel \u8868\u683c\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5355\u5143\u683c\u90fd\u53ef\u4ee5\u5b58\u50a8 1 byte \u7684\u6570\u636e\uff0c\u5728\u7b97\u6cd5\u8fd0\u884c\u65f6\uff0c\u6240\u6709\u6570\u636e\u90fd\u88ab\u5b58\u50a8\u5728\u8fd9\u4e9b\u5355\u5143\u683c\u4e2d\u3002</p> <p>\u7cfb\u7edf\u901a\u8fc7\u300c\u5185\u5b58\u5730\u5740 Memory Location\u300d\u6765\u8bbf\u95ee\u76ee\u6807\u5185\u5b58\u4f4d\u7f6e\u7684\u6570\u636e\u3002\u8ba1\u7b97\u673a\u6839\u636e\u7279\u5b9a\u89c4\u5219\u7ed9\u8868\u683c\u4e2d\u6bcf\u4e2a\u5355\u5143\u683c\u7f16\u53f7\uff0c\u4fdd\u8bc1\u6bcf\u5757\u5185\u5b58\u7a7a\u95f4\u90fd\u6709\u72ec\u7acb\u7684\u5185\u5b58\u5730\u5740\u3002\u81ea\u6b64\uff0c\u7a0b\u5e8f\u4fbf\u901a\u8fc7\u8fd9\u4e9b\u5730\u5740\uff0c\u8bbf\u95ee\u5185\u5b58\u4e2d\u7684\u6570\u636e\u3002</p> <p></p> <p> Fig. \u5185\u5b58\u6761\u3001\u5185\u5b58\u7a7a\u95f4\u3001\u5185\u5b58\u5730\u5740 </p> <p>\u5185\u5b58\u8d44\u6e90\u662f\u8bbe\u8ba1\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u91cd\u8981\u8003\u8651\u56e0\u7d20\u3002\u5185\u5b58\u662f\u6240\u6709\u7a0b\u5e8f\u7684\u516c\u5171\u8d44\u6e90\uff0c\u5f53\u5185\u5b58\u88ab\u67d0\u7a0b\u5e8f\u5360\u7528\u65f6\uff0c\u4e0d\u80fd\u88ab\u5176\u5b83\u7a0b\u5e8f\u540c\u65f6\u4f7f\u7528\u3002\u6211\u4eec\u9700\u8981\u6839\u636e\u5269\u4f59\u5185\u5b58\u8d44\u6e90\u7684\u60c5\u51b5\u6765\u8bbe\u8ba1\u7b97\u6cd5\u3002\u4f8b\u5982\uff0c\u82e5\u5269\u4f59\u5185\u5b58\u7a7a\u95f4\u6709\u9650\uff0c\u5219\u8981\u6c42\u7b97\u6cd5\u5360\u7528\u7684\u5cf0\u503c\u5185\u5b58\u4e0d\u80fd\u8d85\u8fc7\u7cfb\u7edf\u5269\u4f59\u5185\u5b58\uff1b\u82e5\u8fd0\u884c\u7684\u7a0b\u5e8f\u5f88\u591a\u3001\u7f3a\u5c11\u5927\u5757\u8fde\u7eed\u7684\u5185\u5b58\u7a7a\u95f4\uff0c\u5219\u8981\u6c42\u9009\u53d6\u7684\u6570\u636e\u7ed3\u6784\u5fc5\u987b\u80fd\u591f\u5b58\u50a8\u5728\u79bb\u6563\u7684\u5185\u5b58\u7a7a\u95f4\u5185\u3002</p>"},{"location":"chapter_data_structure/summary/","title":"3.3. \u5c0f\u7ed3","text":"<ul> <li>\u6574\u6570 byte, short, int, long \u3001\u6d6e\u70b9\u6570 float, double \u3001\u5b57\u7b26 char \u3001\u5e03\u5c14 boolean \u662f\u8ba1\u7b97\u673a\u4e2d\u7684\u57fa\u672c\u6570\u636e\u7c7b\u578b\uff0c\u5360\u7528\u7a7a\u95f4\u7684\u5927\u5c0f\u51b3\u5b9a\u4e86\u5b83\u4eec\u7684\u53d6\u503c\u8303\u56f4\u3002</li> <li>\u5728\u7a0b\u5e8f\u8fd0\u884c\u65f6\uff0c\u6570\u636e\u5b58\u50a8\u5728\u8ba1\u7b97\u673a\u7684\u5185\u5b58\u4e2d\u3002\u5185\u5b58\u4e2d\u6bcf\u5757\u7a7a\u95f4\u90fd\u6709\u72ec\u7acb\u7684\u5185\u5b58\u5730\u5740\uff0c\u7a0b\u5e8f\u662f\u901a\u8fc7\u5185\u5b58\u5730\u5740\u6765\u8bbf\u95ee\u6570\u636e\u7684\u3002</li> <li>\u6570\u636e\u7ed3\u6784\u4e3b\u8981\u53ef\u4ee5\u4ece\u903b\u8f91\u7ed3\u6784\u548c\u7269\u7406\u7ed3\u6784\u4e24\u4e2a\u89d2\u5ea6\u8fdb\u884c\u5206\u7c7b\u3002\u903b\u8f91\u7ed3\u6784\u53cd\u6620\u4e86\u6570\u636e\u4e2d\u5143\u7d20\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\uff0c\u7269\u7406\u7ed3\u6784\u53cd\u6620\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u5b58\u50a8\u5f62\u5f0f\u3002</li> <li>\u5e38\u89c1\u7684\u903b\u8f91\u7ed3\u6784\u6709\u7ebf\u6027\u3001\u6811\u72b6\u3001\u7f51\u72b6\u7b49\u3002\u6211\u4eec\u4e00\u822c\u6839\u636e\u903b\u8f91\u7ed3\u6784\u5c06\u6570\u636e\u7ed3\u6784\u5206\u4e3a\u7ebf\u6027\uff08\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\uff09\u548c\u975e\u7ebf\u6027\uff08\u6811\u3001\u56fe\u3001\u5806\uff09\u4e24\u79cd\u3002\u6839\u636e\u5b9e\u73b0\u65b9\u5f0f\u7684\u4e0d\u540c\uff0c\u54c8\u5e0c\u8868\u53ef\u80fd\u662f\u7ebf\u6027\u6216\u975e\u7ebf\u6027\u3002</li> <li>\u7269\u7406\u7ed3\u6784\u4e3b\u8981\u6709\u4e24\u79cd\uff0c\u5206\u522b\u662f\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\uff08\u6570\u7ec4\uff09\u548c\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\uff08\u94fe\u8868\uff09\uff0c\u6240\u6709\u7684\u6570\u636e\u7ed3\u6784\u90fd\u662f\u7531\u6570\u7ec4\u3001\u6216\u94fe\u8868\u3001\u6216\u4e24\u8005\u7ec4\u5408\u5b9e\u73b0\u7684\u3002</li> </ul>"},{"location":"chapter_graph/graph/","title":"9.1. \u56fe","text":"<p>\u300c\u56fe Graph\u300d\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u7531\u300c\u9876\u70b9 Vertex\u300d\u548c\u300c\u8fb9 Edge\u300d\u7ec4\u6210\u3002\u6211\u4eec\u53ef\u5c06\u56fe \\(G\\) \u62bd\u8c61\u5730\u8868\u793a\u4e3a\u4e00\u7ec4\u9876\u70b9 \\(V\\) \u548c\u4e00\u7ec4\u8fb9 \\(E\\) \u7684\u96c6\u5408\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u8868\u793a\u4e00\u4e2a\u5305\u542b 5 \u4e2a\u9876\u70b9\u548c 7 \u6761\u8fb9\u7684\u56fe</p> \\[ \\begin{aligned} V &amp; = \\{ 1, 2, 3, 4, 5 \\} \\newline E &amp; = \\{ (1,2), (1,3), (1,5), (2,3), (2,4), (2,5), (4,5) \\} \\newline G &amp; = \\{ V, E \\} \\newline \\end{aligned} \\] <p></p> <p>\u90a3\u4e48\uff0c\u56fe\u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\u7684\u5173\u7cfb\u662f\u4ec0\u4e48\uff1f\u5982\u679c\u6211\u4eec\u628a\u300c\u9876\u70b9\u300d\u770b\u4f5c\u7ed3\u70b9\uff0c\u628a\u300c\u8fb9\u300d\u770b\u4f5c\u8fde\u63a5\u5404\u4e2a\u7ed3\u70b9\u7684\u6307\u9488\uff0c\u5219\u53ef\u5c06\u300c\u56fe\u300d\u770b\u6210\u4e00\u79cd\u4ece\u300c\u94fe\u8868\u300d\u62d3\u5c55\u800c\u6765\u7684\u6570\u636e\u7ed3\u6784\u3002\u76f8\u6bd4\u7ebf\u6027\u5173\u7cfb\uff08\u94fe\u8868\uff09\u548c\u5206\u6cbb\u5173\u7cfb\uff08\u6811\uff09\uff0c\u7f51\u7edc\u5173\u7cfb\uff08\u56fe\uff09\u7684\u81ea\u7531\u5ea6\u66f4\u9ad8\uff0c\u4e5f\u4ece\u800c\u66f4\u4e3a\u590d\u6742\u3002</p>"},{"location":"chapter_graph/graph/#911","title":"9.1.1. \u56fe\u5e38\u89c1\u7c7b\u578b","text":"<p>\u6839\u636e\u8fb9\u662f\u5426\u6709\u65b9\u5411\uff0c\u5206\u4e3a\u300c\u65e0\u5411\u56fe Undirected Graph\u300d\u548c\u300c\u6709\u5411\u56fe Directed Graph\u300d\u3002</p> <ul> <li>\u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u8fb9\u8868\u793a\u4e24\u9876\u70b9\u4e4b\u95f4\u201c\u53cc\u5411\u201d\u7684\u8fde\u63a5\u5173\u7cfb\uff0c\u4f8b\u5982\u5fae\u4fe1\u6216 QQ \u4e2d\u7684\u201c\u597d\u53cb\u5173\u7cfb\u201d\uff1b</li> <li>\u5728\u6709\u5411\u56fe\u4e2d\uff0c\u8fb9\u662f\u6709\u65b9\u5411\u7684\uff0c\u5373 \\(A \\rightarrow B\\) \u548c \\(A \\leftarrow B\\) \u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u662f\u76f8\u4e92\u72ec\u7acb\u7684\uff0c\u4f8b\u5982\u5fae\u535a\u6216\u6296\u97f3\u4e0a\u7684\u201c\u5173\u6ce8\u201d\u4e0e\u201c\u88ab\u5173\u6ce8\u201d\u5173\u7cfb\uff1b</li> </ul> <p></p> <p>\u6839\u636e\u6240\u6709\u9876\u70b9\u662f\u5426\u8fde\u901a\uff0c\u5206\u4e3a\u300c\u8fde\u901a\u56fe Connected Graph\u300d\u548c\u300c\u975e\u8fde\u901a\u56fe Disconnected Graph\u300d\u3002</p> <ul> <li>\u5bf9\u4e8e\u8fde\u901a\u56fe\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u53ef\u4ee5\u5230\u8fbe\u5176\u4f59\u4efb\u610f\u9876\u70b9\uff1b</li> <li>\u5bf9\u4e8e\u975e\u8fde\u901a\u56fe\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u81f3\u5c11\u6709\u4e00\u4e2a\u9876\u70b9\u65e0\u6cd5\u5230\u8fbe\uff1b</li> </ul> <p></p> <p>\u6211\u4eec\u53ef\u4ee5\u7ed9\u8fb9\u6dfb\u52a0\u201c\u6743\u91cd\u201d\u53d8\u91cf\uff0c\u5f97\u5230\u300c\u6709\u6743\u56fe Weighted Graph\u300d\u3002\u4f8b\u5982\uff0c\u5728\u738b\u8005\u8363\u8000\u7b49\u6e38\u620f\u4e2d\uff0c\u7cfb\u7edf\u4f1a\u6839\u636e\u5171\u540c\u6e38\u620f\u65f6\u95f4\u6765\u8ba1\u7b97\u73a9\u5bb6\u4e4b\u95f4\u7684\u201c\u4eb2\u5bc6\u5ea6\u201d\uff0c\u8fd9\u79cd\u4eb2\u5bc6\u5ea6\u7f51\u7edc\u5c31\u53ef\u4ee5\u4f7f\u7528\u6709\u6743\u56fe\u6765\u8868\u793a\u3002</p> <p></p>"},{"location":"chapter_graph/graph/#912","title":"9.1.2. \u56fe\u5e38\u7528\u672f\u8bed","text":"<ul> <li>\u300c\u90bb\u63a5 Adjacency\u300d\uff1a\u5f53\u4e24\u9876\u70b9\u4e4b\u95f4\u6709\u8fb9\u76f8\u8fde\u65f6\uff0c\u79f0\u6b64\u4e24\u9876\u70b9\u201c\u90bb\u63a5\u201d\u3002</li> <li>\u300c\u8def\u5f84 Path\u300d\uff1a\u4ece\u9876\u70b9 A \u5230\u9876\u70b9 B \u8d70\u8fc7\u7684\u8fb9\u6784\u6210\u7684\u5e8f\u5217\uff0c\u88ab\u79f0\u4e3a\u4ece A \u5230 B \u7684\u201c\u8def\u5f84\u201d\u3002</li> <li>\u300c\u5ea6 Degree\u300d\u8868\u793a\u4e00\u4e2a\u9876\u70b9\u5177\u6709\u591a\u5c11\u6761\u8fb9\u3002\u5bf9\u4e8e\u6709\u5411\u56fe\uff0c\u300c\u5165\u5ea6 In-Degree\u300d\u8868\u793a\u6709\u591a\u5c11\u6761\u8fb9\u6307\u5411\u8be5\u9876\u70b9\uff0c\u300c\u51fa\u5ea6 Out-Degree\u300d\u8868\u793a\u6709\u591a\u5c11\u6761\u8fb9\u4ece\u8be5\u9876\u70b9\u6307\u51fa\u3002</li> </ul>"},{"location":"chapter_graph/graph/#913","title":"9.1.3. \u56fe\u7684\u8868\u793a","text":"<p>\u56fe\u7684\u5e38\u7528\u8868\u793a\u65b9\u6cd5\u6709\u300c\u90bb\u63a5\u77e9\u9635\u300d\u548c\u300c\u90bb\u63a5\u8868\u300d\u3002\u4ee5\u4e0b\u4f7f\u7528\u300c\u65e0\u5411\u56fe\u300d\u6765\u4e3e\u4f8b\u3002</p>"},{"location":"chapter_graph/graph/#_1","title":"\u90bb\u63a5\u77e9\u9635","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u300c\u90bb\u63a5\u77e9\u9635 Adjacency Matrix\u300d\u4f7f\u7528\u4e00\u4e2a \\(n \\times n\\) \u5927\u5c0f\u7684\u77e9\u9635\u6765\u8868\u793a\u56fe\uff0c\u6bcf\u4e00\u884c\uff08\u5217\uff09\u4ee3\u8868\u4e00\u4e2a\u9876\u70b9\uff0c\u77e9\u9635\u5143\u7d20\u4ee3\u8868\u8fb9\uff0c\u4f7f\u7528 \\(1\\) \u6216 \\(0\\) \u6765\u8868\u793a\u4e24\u4e2a\u9876\u70b9\u4e4b\u95f4\u6709\u8fb9\u6216\u65e0\u8fb9\u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8bb0\u90bb\u63a5\u77e9\u9635\u4e3a \\(M\\) \u3001\u9876\u70b9\u5217\u8868\u4e3a \\(V\\) \uff0c\u5219\u77e9\u9635\u5143\u7d20 \\(M[i][j] = 1\\) \u4ee3\u8868\u7740\u9876\u70b9 \\(V[i]\\) \u5230\u9876\u70b9 \\(V[j]\\) \u4e4b\u95f4\u6709\u8fb9\uff0c\u76f8\u53cd\u5730 \\(M[i][j] = 0\\) \u4ee3\u8868\u4e24\u9876\u70b9\u4e4b\u95f4\u65e0\u8fb9\u3002</p> <p></p> <p>\u90bb\u63a5\u77e9\u9635\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a</p> <ul> <li>\u9876\u70b9\u4e0d\u80fd\u4e0e\u81ea\u8eab\u76f8\u8fde\uff0c\u56e0\u800c\u90bb\u63a5\u77e9\u9635\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u6ca1\u6709\u610f\u4e49\u3002</li> <li>\u300c\u65e0\u5411\u56fe\u300d\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u7b49\u4ef7\uff0c\u6b64\u65f6\u90bb\u63a5\u77e9\u9635\u5173\u4e8e\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\u3002</li> <li>\u5c06\u90bb\u63a5\u77e9\u9635\u7684\u5143\u7d20\u4ece \\(1\\) , \\(0\\) \u66ff\u6362\u4e3a\u6743\u91cd\uff0c\u5219\u80fd\u591f\u8868\u793a\u300c\u6709\u6743\u56fe\u300d\u3002</li> </ul> <p>\u4f7f\u7528\u90bb\u63a5\u77e9\u9635\u8868\u793a\u56fe\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u901a\u8fc7\u8bbf\u95ee\u77e9\u9635\u5143\u7d20\u6765\u83b7\u53d6\u8fb9\uff0c\u56e0\u6b64\u589e\u5220\u67e5\u64cd\u4f5c\u7684\u6548\u7387\u5f88\u9ad8\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3a \\(O(1)\\) \u3002\u7136\u800c\uff0c\u77e9\u9635\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff0c\u5185\u5b58\u5360\u7528\u8f83\u5927\u3002</p>"},{"location":"chapter_graph/graph/#_2","title":"\u90bb\u63a5\u8868","text":"<p>\u300c\u90bb\u63a5\u8868 Adjacency List\u300d\u4f7f\u7528 \\(n\\) \u4e2a\u94fe\u8868\u6765\u8868\u793a\u56fe\uff0c\u94fe\u8868\u7ed3\u70b9\u8868\u793a\u9876\u70b9\u3002\u7b2c \\(i\\) \u6761\u94fe\u8868\u5bf9\u5e94\u9876\u70b9 \\(i\\) \uff0c\u5176\u4e2d\u5b58\u50a8\u4e86\u6240\u6709\u4e0e\u8be5\u9876\u70b9\u76f8\u8fde\u7684\u9876\u70b9\u3002</p> <p></p> <p>\u90bb\u63a5\u8868\u4ec5\u5b58\u50a8\u5b58\u5728\u7684\u8fb9\uff0c\u800c\u8fb9\u7684\u603b\u6570\u5f80\u5f80\u8fdc\u5c0f\u4e8e \\(n^2\\) \uff0c\u56e0\u6b64\u66f4\u52a0\u8282\u7701\u7a7a\u95f4\u3002\u4f46\u662f\uff0c\u56e0\u4e3a\u5728\u90bb\u63a5\u8868\u4e2d\u9700\u8981\u901a\u8fc7\u904d\u5386\u94fe\u8868\u6765\u67e5\u627e\u8fb9\uff0c\u6240\u4ee5\u5176\u65f6\u95f4\u6548\u7387\u4e0d\u5982\u90bb\u63a5\u77e9\u9635\u3002</p> <p>\u89c2\u5bdf\u4e0a\u56fe\u53d1\u73b0\uff0c\u90bb\u63a5\u8868\u7ed3\u6784\u4e0e\u54c8\u5e0c\u8868\u300c\u94fe\u5730\u5740\u6cd5\u300d\u975e\u5e38\u76f8\u4f3c\uff0c\u56e0\u6b64\u6211\u4eec\u4e5f\u53ef\u4ee5\u7528\u7c7b\u4f3c\u65b9\u6cd5\u6765\u4f18\u5316\u6548\u7387\u3002\u6bd4\u5982\uff0c\u5f53\u94fe\u8868\u8f83\u957f\u65f6\uff0c\u53ef\u4ee5\u628a\u94fe\u8868\u8f6c\u5316\u4e3a\u300cAVL \u6811\u300d\uff0c\u4ece\u800c\u5c06\u65f6\u95f4\u6548\u7387\u4ece \\(O(n)\\) \u4f18\u5316\u81f3 \\(O(\\log n)\\) \uff0c\u8fd8\u53ef\u4ee5\u901a\u8fc7\u4e2d\u5e8f\u904d\u5386\u83b7\u53d6\u6709\u5e8f\u5e8f\u5217\uff1b\u8fd8\u53ef\u4ee5\u5c06\u94fe\u8868\u8f6c\u5316\u4e3a HashSet\uff08\u5373\u54c8\u5e0c\u8868\uff09\uff0c\u5c06\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4f4e\u81f3 \\(O(1)\\) \uff0c\u3002</p>"},{"location":"chapter_graph/graph/#914","title":"9.1.4. \u56fe\u5e38\u89c1\u5e94\u7528","text":"<p>\u73b0\u5b9e\u4e2d\u7684\u8bb8\u591a\u7cfb\u7edf\u90fd\u53ef\u4ee5\u4f7f\u7528\u56fe\u6765\u5efa\u6a21\uff0c\u5bf9\u5e94\u7684\u5f85\u6c42\u89e3\u95ee\u9898\u4e5f\u53ef\u4ee5\u88ab\u7ea6\u5316\u4e3a\u56fe\u8ba1\u7b97\u95ee\u9898\u3002</p> \u9876\u70b9 \u8fb9 \u56fe\u8ba1\u7b97\u95ee\u9898 \u793e\u4ea4\u7f51\u7edc \u7528\u6237 \u597d\u53cb\u5173\u7cfb \u6f5c\u5728\u597d\u53cb\u63a8\u8350 \u5730\u94c1\u7ebf\u8def \u7ad9\u70b9 \u7ad9\u70b9\u95f4\u7684\u8fde\u901a\u6027 \u6700\u77ed\u8def\u7ebf\u63a8\u8350 \u592a\u9633\u7cfb \u661f\u4f53 \u661f\u4f53\u95f4\u7684\u4e07\u6709\u5f15\u529b\u4f5c\u7528 \u884c\u661f\u8f68\u9053\u8ba1\u7b97"},{"location":"chapter_graph/graph_operations/","title":"9.2. \u56fe\u57fa\u7840\u64cd\u4f5c","text":"<p>\u56fe\u7684\u57fa\u7840\u64cd\u4f5c\u5206\u4e3a\u5bf9\u300c\u8fb9\u300d\u7684\u64cd\u4f5c\u548c\u5bf9\u300c\u9876\u70b9\u300d\u7684\u64cd\u4f5c\uff0c\u5728\u300c\u90bb\u63a5\u77e9\u9635\u300d\u548c\u300c\u90bb\u63a5\u8868\u300d\u8fd9\u4e24\u79cd\u8868\u793a\u4e0b\u7684\u5b9e\u73b0\u65b9\u5f0f\u4e0d\u540c\u3002</p>"},{"location":"chapter_graph/graph_operations/#921","title":"9.2.1. \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u7684\u5b9e\u73b0","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u6709\uff1a</p> <ul> <li>\u6dfb\u52a0\u6216\u5220\u9664\u8fb9\uff1a\u76f4\u63a5\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u4fee\u6539\u6307\u5b9a\u8fb9\u7684\u5bf9\u5e94\u5143\u7d20\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002\u800c\u7531\u4e8e\u662f\u65e0\u5411\u56fe\uff0c\u56e0\u6b64\u9700\u8981\u540c\u65f6\u66f4\u65b0\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u6dfb\u52a0\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u77e9\u9635\u7684\u5c3e\u90e8\u6dfb\u52a0\u4e00\u884c\u4e00\u5217\uff0c\u5e76\u5168\u90e8\u586b \\(0\\) \u5373\u53ef\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\u3002</li> <li>\u5220\u9664\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u4e00\u884c\u4e00\u5217\u3002\u5f53\u5220\u9664\u9996\u884c\u9996\u5217\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u9700\u8981\u5c06 \\((n-1)^2\\) \u4e2a\u5143\u7d20\u201c\u5411\u5de6\u4e0a\u79fb\u52a8\u201d\uff0c\u4ece\u800c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</li> <li>\u521d\u59cb\u5316\uff1a\u4f20\u5165 \\(n\\) \u4e2a\u9876\u70b9\uff0c\u521d\u59cb\u5316\u957f\u5ea6\u4e3a \\(n\\) \u7684\u9876\u70b9\u5217\u8868 <code>vertices</code> \uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b\u521d\u59cb\u5316 \\(n \\times n\\) \u5927\u5c0f\u7684\u90bb\u63a5\u77e9\u9635 <code>adjMat</code> \uff0c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</li> </ul> \u521d\u59cb\u5316\u90bb\u63a5\u77e9\u9635\u6dfb\u52a0\u8fb9\u5220\u9664\u8fb9\u6dfb\u52a0\u9876\u70b9\u5220\u9664\u9876\u70b9 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u8868\u793a\u56fe\u7684\u5b9e\u73b0\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_adjacency_matrix.java<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nList&lt;Integer&gt; vertices;     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nList&lt;List&lt;Integer&gt;&gt; adjMat; // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u65b9\u6cd5 */\npublic GraphAdjMat(int[] vertices, int[][] edges) {\nthis.vertices = new ArrayList&lt;&gt;();\nthis.adjMat = new ArrayList&lt;&gt;();\n// \u6dfb\u52a0\u9876\u70b9\nfor (int val : vertices) {\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (int[] e : edges) {\naddEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size() {\nreturn vertices.size();\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(int val) {\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.add(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nList&lt;Integer&gt; newRow = new ArrayList&lt;&gt;(n);\nfor (int j = 0; j &lt; n; j++) {\nnewRow.add(0);\n}\nadjMat.add(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (List&lt;Integer&gt; row : adjMat) {\nrow.add(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(int index) {\nif (index &gt;= size())\nthrow new IndexOutOfBoundsException();\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.remove(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.remove(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (List&lt;Integer&gt; row : adjMat) {\nrow.remove(index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void addEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfBoundsException();\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat.get(i).set(j, 1);\nadjMat.get(j).set(i, 1);\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void removeEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfBoundsException();\nadjMat.get(i).set(j, 0);\nadjMat.get(j).set(i, 0);\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\npublic void print() {\nSystem.out.print(\"\u9876\u70b9\u5217\u8868 = \");\nSystem.out.println(vertices);\nSystem.out.println(\"\u90bb\u63a5\u77e9\u9635 =\");\nPrintUtil.printMatrix(adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.cpp<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvector&lt;int&gt; vertices;        // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nvector&lt;vector&lt;int&gt;&gt; adjMat;  // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nGraphAdjMat(const vector&lt;int&gt;&amp; vertices, const vector&lt;vector&lt;int&gt;&gt;&amp; edges) {\n// \u6dfb\u52a0\u9876\u70b9\nfor (int val : vertices) {\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const vector&lt;int&gt;&amp; edge : edges) {\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nint size() const {\nreturn vertices.size();\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nvoid addVertex(int val) {\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.push_back(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nadjMat.emplace_back(n, 0);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (vector&lt;int&gt;&amp; row : adjMat) {\nrow.push_back(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nvoid removeVertex(int index) {\nif (index &gt;= size()) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.erase(vertices.begin() + index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.erase(adjMat.begin() + index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (vector&lt;int&gt;&amp; row : adjMat) {\nrow.erase(row.begin() + index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nvoid addEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1;\nadjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nvoid removeEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\nadjMat[i][j] = 0;\nadjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nvoid print() {\ncout &lt;&lt; \"\u9876\u70b9\u5217\u8868 = \";\nPrintUtil::printVector(vertices);\ncout &lt;&lt; \"\u90bb\u63a5\u77e9\u9635 =\" &lt;&lt; endl;\nPrintUtil::printVectorMatrix(adjMat);\n}\n};\n</code></pre> graph_adjacency_matrix.py<pre><code>[class]{GraphAdjMat}-[func]{}\n</code></pre> graph_adjacency_matrix.go<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\ntype graphAdjMat struct {\n// \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nvertices []int\n// \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat [][]int\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newGraphAdjMat(vertices []int, edges [][]int) *graphAdjMat {\n// \u6dfb\u52a0\u9876\u70b9\nn := len(vertices)\nadjMat := make([][]int, n)\nfor i := range adjMat {\nadjMat[i] = make([]int, n)\n}\n// \u521d\u59cb\u5316\u56fe\ng := &amp;graphAdjMat{\nvertices: vertices,\nadjMat:   adjMat,\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor i := range edges {\ng.addEdge(edges[i][0], edges[i][1])\n}\nreturn g\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc (g *graphAdjMat) size() int {\nreturn len(g.vertices)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc (g *graphAdjMat) addVertex(val int) {\nn := g.size()\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\ng.vertices = append(g.vertices, val)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nnewRow := make([]int, n)\ng.adjMat = append(g.adjMat, newRow)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor i := range g.adjMat {\ng.adjMat[i] = append(g.adjMat[i], 0)\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc (g *graphAdjMat) removeVertex(index int) {\nif index &gt;= g.size() {\nreturn\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\ng.vertices = append(g.vertices[:index], g.vertices[index+1:]...)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\ng.adjMat = append(g.adjMat[:index], g.adjMat[index+1:]...)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor i := range g.adjMat {\ng.adjMat[i] = append(g.adjMat[i][:index], g.adjMat[i][index+1:]...)\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc (g *graphAdjMat) addEdge(i, j int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= g.size() || j &gt;= g.size() || i == j {\nfmt.Errorf(\"%s\", \"Index Out Of Bounds Exception\")\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\ng.adjMat[i][j] = 1\ng.adjMat[j][i] = 1\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc (g *graphAdjMat) removeEdge(i, j int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= g.size() || j &gt;= g.size() || i == j {\nfmt.Errorf(\"%s\", \"Index Out Of Bounds Exception\")\n}\ng.adjMat[i][j] = 0\ng.adjMat[j][i] = 0\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nfunc (g *graphAdjMat) print() {\nfmt.Printf(\"\\t\u9876\u70b9\u5217\u8868 = %v\\n\", g.vertices)\nfmt.Printf(\"\\t\u90bb\u63a5\u77e9\u9635 = \\n\")\nfor i := range g.adjMat {\nfmt.Printf(\"\\t\\t\\t%v\\n\", g.adjMat[i])\n}\n}\n</code></pre> graph_adjacency_matrix.js<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvertices;   // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat;     // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\nconstructor(vertices, edges) {\nthis.vertices = [];\nthis.adjMat = [];\n// \u6dfb\u52a0\u9876\u70b9\nfor (const val of vertices) {\nthis.addVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const e of edges) {\nthis.addEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize() {\nreturn this.vertices.length;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(val) {\nconst n = this.size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nthis.vertices.push(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nconst newRow = [];\nfor (let j = 0; j &lt; n; j++) {\nnewRow.push(0);\n}\nthis.adjMat.push(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (const row of this.adjMat) {\nrow.push(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(index) {\nif (index &gt;= this.size()) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nthis.vertices.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nthis.adjMat.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (const row of this.adjMat) {\nrow.splice(index, 1);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\naddEdge(i, j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nthis.adjMat[i][j] = 1;\nthis.adjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nremoveEdge(i, j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\nthis.adjMat[i][j] = 0;\nthis.adjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nprint() {\nconsole.log(\"\u9876\u70b9\u5217\u8868 = \", this.vertices);\nconsole.log(\"\u90bb\u63a5\u77e9\u9635 =\", this.adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.ts<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvertices: number[];     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat: number[][];     // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\nconstructor(vertices: number[], edges: number[][]) {\nthis.vertices = [];\nthis.adjMat = [];\n// \u6dfb\u52a0\u9876\u70b9\nfor (const val of vertices) {\nthis.addVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const e of edges) {\nthis.addEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize(): number {\nreturn this.vertices.length;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(val: number): void {\nconst n: number = this.size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nthis.vertices.push(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nconst newRow: number[] = [];\nfor (let j: number = 0; j &lt; n; j++) {\nnewRow.push(0);\n}\nthis.adjMat.push(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (const row of this.adjMat) {\nrow.push(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(index: number): void {\nif (index &gt;= this.size()) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nthis.vertices.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nthis.adjMat.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (const row of this.adjMat) {\nrow.splice(index, 1);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\naddEdge(i: number, j: number): void {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nthis.adjMat[i][j] = 1;\nthis.adjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nremoveEdge(i: number, j: number): void {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\nthis.adjMat[i][j] = 0;\nthis.adjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nprint(): void {\nconsole.log(\"\u9876\u70b9\u5217\u8868 = \", this.vertices);\nconsole.log(\"\u90bb\u63a5\u77e9\u9635 =\", this.adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.c<pre><code>[class]{graphAdjMat}-[func]{}\n</code></pre> graph_adjacency_matrix.cs<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat\n{\nList&lt;int&gt; vertices;     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nList&lt;List&lt;int&gt;&gt; adjMat; // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\npublic GraphAdjMat(int[] vertices, int[][] edges)\n{\nthis.vertices = new List&lt;int&gt;();\nthis.adjMat = new List&lt;List&lt;int&gt;&gt;();\n// \u6dfb\u52a0\u9876\u70b9\nforeach (int val in vertices)\n{\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nforeach (int[] e in edges)\n{\naddEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size()\n{\nreturn vertices.Count;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(int val)\n{\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.Add(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nList&lt;int&gt; newRow = new List&lt;int&gt;(n);\nfor (int j = 0; j &lt; n; j++)\n{\nnewRow.Add(0);\n}\nadjMat.Add(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nforeach (List&lt;int&gt; row in adjMat)\n{\nrow.Add(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(int index)\n{\nif (index &gt;= size())\nthrow new IndexOutOfRangeException();\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.RemoveAt(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.RemoveAt(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nforeach (List&lt;int&gt; row in adjMat)\n{\nrow.RemoveAt(index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void addEdge(int i, int j)\n{\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfRangeException();\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1;\nadjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void removeEdge(int i, int j)\n{\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfRangeException();\nadjMat[i][j] = 0;\nadjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\npublic void print()\n{\nConsole.Write(\"\u9876\u70b9\u5217\u8868 = \");\nPrintUtil.PrintList(vertices);\nConsole.WriteLine(\"\u90bb\u63a5\u77e9\u9635 =\");\nPrintUtil.printMatrix(adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.swift<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nprivate var vertices: [Int] // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nprivate var adjMat: [[Int]] // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u65b9\u6cd5 */\ninit(vertices: [Int], edges: [[Int]]) {\nself.vertices = []\nadjMat = []\n// \u6dfb\u52a0\u9876\u70b9\nfor val in vertices {\naddVertex(val: val)\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor e in edges {\naddEdge(i: e[0], j: e[1])\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc size() -&gt; Int {\nvertices.count\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc addVertex(val: Int) {\nlet n = size()\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.append(val)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nlet newRow = Array(repeating: 0, count: n)\nadjMat.append(newRow)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor i in adjMat.indices {\nadjMat[i].append(0)\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc removeVertex(index: Int) {\nif index &gt;= size() {\nfatalError(\"\u8d8a\u754c\")\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.remove(at: index)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.remove(at: index)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor i in adjMat.indices {\nadjMat[i].remove(at: index)\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc addEdge(i: Int, j: Int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j {\nfatalError(\"\u8d8a\u754c\")\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1\nadjMat[j][i] = 1\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc removeEdge(i: Int, j: Int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j {\nfatalError(\"\u8d8a\u754c\")\n}\nadjMat[i][j] = 0\nadjMat[j][i] = 0\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nfunc print() {\nSwift.print(\"\u9876\u70b9\u5217\u8868 = \", terminator: \"\")\nSwift.print(vertices)\nSwift.print(\"\u90bb\u63a5\u77e9\u9635 =\")\nPrintUtil.printMatrix(matrix: adjMat)\n}\n}\n</code></pre> graph_adjacency_matrix.zig<pre><code>\n</code></pre>"},{"location":"chapter_graph/graph_operations/#922","title":"9.2.2. \u57fa\u4e8e\u90bb\u63a5\u8868\u7684\u5b9e\u73b0","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u603b\u6570\u4e3a \\(n\\) \u3001\u8fb9\u603b\u6570\u4e3a \\(m\\) \uff0c\u5219\u6709\uff1a</p> <ul> <li>\u6dfb\u52a0\u8fb9\uff1a\u5728\u9876\u70b9\u5bf9\u5e94\u94fe\u8868\u7684\u5c3e\u90e8\u6dfb\u52a0\u8fb9\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002\u56e0\u4e3a\u662f\u65e0\u5411\u56fe\uff0c\u6240\u4ee5\u9700\u8981\u540c\u65f6\u6dfb\u52a0\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u5220\u9664\u8fb9\uff1a\u5728\u9876\u70b9\u5bf9\u5e94\u94fe\u8868\u4e2d\u67e5\u8be2\u4e0e\u5220\u9664\u6307\u5b9a\u8fb9\uff0c\u4f7f\u7528 \\(O(m)\\) \u65f6\u95f4\u3002\u4e0e\u6dfb\u52a0\u8fb9\u4e00\u6837\uff0c\u9700\u8981\u540c\u65f6\u5220\u9664\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u6dfb\u52a0\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u94fe\u8868\u5373\u53ef\uff0c\u5e76\u4ee5\u65b0\u589e\u9876\u70b9\u4e3a\u94fe\u8868\u5934\u7ed3\u70b9\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002</li> <li>\u5220\u9664\u9876\u70b9\uff1a\u9700\u8981\u904d\u5386\u6574\u4e2a\u90bb\u63a5\u8868\uff0c\u5220\u9664\u5305\u542b\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u8fb9\uff0c\u4f7f\u7528 \\(O(n + m)\\) \u65f6\u95f4\u3002</li> <li>\u521d\u59cb\u5316\uff1a\u9700\u8981\u5728\u90bb\u63a5\u8868\u4e2d\u5efa\u7acb \\(n\\) \u4e2a\u7ed3\u70b9\u548c \\(2m\\) \u6761\u8fb9\uff0c\u4f7f\u7528 \\(O(n + m)\\) \u65f6\u95f4\u3002</li> </ul> \u521d\u59cb\u5316\u90bb\u63a5\u8868\u6dfb\u52a0\u8fb9\u5220\u9664\u8fb9\u6dfb\u52a0\u9876\u70b9\u5220\u9664\u9876\u70b9 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u56fe\u7684\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u6ce8\u610f\u5230\uff0c\u6211\u4eec\u5728\u90bb\u63a5\u8868\u4e2d\u4f7f\u7528 <code>Vertex</code> \u7ed3\u70b9\u7c7b\u6765\u8868\u793a\u9876\u70b9\uff0c\u8fd9\u6837\u505a\u7684\u539f\u56e0\u662f\uff1a</p> <ul> <li>\u5982\u679c\u6211\u4eec\u9009\u62e9\u901a\u8fc7\u9876\u70b9\u503c\u6765\u533a\u5206\u4e0d\u540c\u9876\u70b9\uff0c\u90a3\u4e48\u503c\u91cd\u590d\u7684\u9876\u70b9\u5c06\u65e0\u6cd5\u88ab\u533a\u5206\u3002</li> <li>\u5982\u679c\u7c7b\u4f3c\u90bb\u63a5\u77e9\u9635\u90a3\u6837\uff0c\u4f7f\u7528\u9876\u70b9\u5217\u8868\u7d22\u5f15\u6765\u533a\u5206\u4e0d\u540c\u9876\u70b9\u3002\u90a3\u4e48\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5220\u9664\u7d22\u5f15\u4e3a \\(i\\) \u7684\u9876\u70b9\uff0c\u5219\u9700\u8981\u904d\u5386\u6574\u4e2a\u90bb\u63a5\u8868\uff0c\u5c06\u5176\u4e2d \\(&gt; i\\) \u7684\u7d22\u5f15\u5168\u90e8\u6267\u884c \\(-1\\) \uff0c\u8fd9\u6837\u64cd\u4f5c\u6548\u7387\u592a\u4f4e\u3002</li> <li>\u56e0\u6b64\u6211\u4eec\u8003\u8651\u5f15\u5165\u9876\u70b9\u7c7b <code>Vertex</code> \uff0c\u4f7f\u5f97\u6bcf\u4e2a\u9876\u70b9\u90fd\u662f\u552f\u4e00\u7684\u5bf9\u8c61\uff0c\u6b64\u65f6\u5220\u9664\u9876\u70b9\u65f6\u5c31\u65e0\u9700\u6539\u52a8\u5176\u4f59\u9876\u70b9\u4e86\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_adjacency_list.java<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0ckey: \u9876\u70b9\uff0cvalue\uff1a\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u7ed3\u70b9\nMap&lt;Vertex, List&lt;Vertex&gt;&gt; adjList;\n/* \u6784\u9020\u65b9\u6cd5 */\npublic GraphAdjList(Vertex[][] edges) {\nthis.adjList = new HashMap&lt;&gt;();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (Vertex[] edge : edges) {\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size() {\nreturn adjList.size();\n}\n/* \u6dfb\u52a0\u8fb9 */\npublic void addEdge(Vertex vet1, Vertex vet2) {\nif (!adjList.containsKey(vet1) || !adjList.containsKey(vet2) || vet1 == vet2)\nthrow new IllegalArgumentException();\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList.get(vet1).add(vet2);\nadjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\npublic void removeEdge(Vertex vet1, Vertex vet2) {\nif (!adjList.containsKey(vet1) || !adjList.containsKey(vet2) || vet1 == vet2)\nthrow new IllegalArgumentException();\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList.get(vet1).remove(vet2);\nadjList.get(vet2).remove(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(Vertex vet) {\nif (adjList.containsKey(vet))\nreturn;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList.put(vet, new ArrayList&lt;&gt;());\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(Vertex vet) {\nif (!adjList.containsKey(vet))\nthrow new IllegalArgumentException();\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.remove(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (List&lt;Vertex&gt; list : adjList.values()) {\nlist.remove(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\npublic void print() {\nSystem.out.println(\"\u90bb\u63a5\u8868 =\");\nfor (Map.Entry&lt;Vertex, List&lt;Vertex&gt;&gt; entry : adjList.entrySet()) {\nList&lt;Integer&gt; tmp = new ArrayList&lt;&gt;();\nfor (Vertex vertex : entry.getValue())\ntmp.add(vertex.val);\nSystem.out.println(entry.getKey().val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.cpp<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nunordered_map&lt;Vertex*, unordered_set&lt;Vertex*&gt;&gt; adjList;\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nGraphAdjList(const vector&lt;vector&lt;Vertex*&gt;&gt;&amp; edges) {\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const vector&lt;Vertex*&gt;&amp; edge : edges) {\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nint size() { return adjList.size(); }\n/* \u6dfb\u52a0\u8fb9 */\nvoid addEdge(Vertex* vet1, Vertex* vet2) {\nif (!adjList.count(vet1) || !adjList.count(vet2) || vet1 == vet2)\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1].insert(vet2);\nadjList[vet2].insert(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nvoid removeEdge(Vertex* vet1, Vertex* vet2) {\nif (!adjList.count(vet1) || !adjList.count(vet2) || vet1 == vet2)\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1].erase(vet2);\nadjList[vet2].erase(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nvoid addVertex(Vertex* vet) {\nif (adjList.count(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList[vet] = unordered_set&lt;Vertex*&gt;();\n}\n/* \u5220\u9664\u9876\u70b9 */\nvoid removeVertex(Vertex* vet) {\nif (!adjList.count(vet))\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.erase(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (auto&amp; [key, set_] : adjList) {\nset_.erase(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nvoid print() {\ncout &lt;&lt; \"\u90bb\u63a5\u8868 =\" &lt;&lt; endl;\nfor (auto&amp; [key, value] : adjList) {\nvector&lt;int&gt; tmp;\nfor (Vertex* vertex : value)\ntmp.push_back(vertex-&gt;val);\ncout &lt;&lt; key-&gt;val &lt;&lt; \": \";\nPrintUtil::printVector(tmp);\n}\n}\n};\n</code></pre> graph_adjacency_list.py<pre><code>[class]{GraphAdjList}-[func]{}\n</code></pre> graph_adjacency_list.go<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\ntype graphAdjList struct {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList map[vertex]map[vertex]struct{}\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newGraphAdjList(edges [][]vertex) *graphAdjList {\ng := &amp;graphAdjList{\nadjList: make(map[vertex]map[vertex]struct{}),\n}\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor _, edge := range edges {\ng.addVertex(edge[0])\ng.addVertex(edge[1])\ng.addEdge(edge[0], edge[1])\n}\nreturn g\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc (g *graphAdjList) size() int {\nreturn len(g.adjList)\n}\n/* \u6dfb\u52a0\u8fb9 */\nfunc (g *graphAdjList) addEdge(vet1 vertex, vet2 vertex) {\n_, ok1 := g.adjList[vet1]\n_, ok2 := g.adjList[vet2]\nif !ok1 || !ok2 || vet1 == vet2 {\npanic(\"error\")\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2, \u6dfb\u52a0\u533f\u540d struct{},\ng.adjList[vet1][vet2] = struct{}{}\ng.adjList[vet2][vet1] = struct{}{}\n}\n/* \u5220\u9664\u8fb9 */\nfunc (g *graphAdjList) removeEdge(vet1 vertex, vet2 vertex) {\n_, ok1 := g.adjList[vet1]\n_, ok2 := g.adjList[vet2]\nif !ok1 || !ok2 || vet1 == vet2 {\npanic(\"error\")\n}\n// \u5220\u9664\u8fb9 vet1 - vet2, \u501f\u52a9 delete \u6765\u5220\u9664 map \u4e2d\u7684\u952e\ndelete(g.adjList[vet1], vet2)\ndelete(g.adjList[vet2], vet1)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc (g *graphAdjList) addVertex(vet vertex) {\n_, ok := g.adjList[vet]\nif ok {\nreturn\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\ng.adjList[vet] = make(map[vertex]struct{})\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc (g *graphAdjList) removeVertex(vet vertex) {\n_, ok := g.adjList[vet]\nif !ok {\npanic(\"error\")\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\ndelete(g.adjList, vet)\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor _, set := range g.adjList {\n// \u64cd\u4f5c\ndelete(set, vet)\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nfunc (g *graphAdjList) print() {\nvar builder strings.Builder\nfmt.Printf(\"\u90bb\u63a5\u8868 = \\n\")\nfor k, v := range g.adjList {\nbuilder.WriteString(\"\\t\\t\" + strconv.Itoa(k.val) + \": \")\nfor vet := range v {\nbuilder.WriteString(strconv.Itoa(vet.val) + \" \")\n}\nfmt.Println(builder.String())\nbuilder.Reset()\n}\n}\n</code></pre> graph_adjacency_list.js<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList;\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor(edges) {\nthis.adjList = new Map();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const edge of edges) {\nthis.addVertex(edge[0]);\nthis.addVertex(edge[1]);\nthis.addEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize() {\nreturn this.adjList.size;\n}\n/* \u6dfb\u52a0\u8fb9 */\naddEdge(vet1, vet2) {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).add(vet2);\nthis.adjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nremoveEdge(vet1, vet2) {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).delete(vet2);\nthis.adjList.get(vet2).delete(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(vet) {\nif (this.adjList.has(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nthis.adjList.set(vet, new Set());\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(vet) {\nif (!this.adjList.has(vet)) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nthis.adjList.delete(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (let set of this.adjList.values()) {\nset.delete(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nprint() {\nconsole.log(\"\u90bb\u63a5\u8868 =\");\nfor (const [key, value] of this.adjList) {\nconst tmp = [];\nfor (const vertex of value){\ntmp.push(vertex.val);\n}\nconsole.log(key.val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.ts<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList: Map&lt;Vertex, Set&lt;Vertex&gt;&gt;;\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor(edges: Vertex[][]) {\nthis.adjList = new Map();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const edge of edges) {\nthis.addVertex(edge[0]);\nthis.addVertex(edge[1]);\nthis.addEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize(): number {\nreturn this.adjList.size;\n}\n/* \u6dfb\u52a0\u8fb9 */\naddEdge(vet1: Vertex, vet2: Vertex): void {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).add(vet2);\nthis.adjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nremoveEdge(vet1: Vertex, vet2: Vertex): void {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).delete(vet2);\nthis.adjList.get(vet2).delete(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(vet: Vertex): void {\nif (this.adjList.has(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nthis.adjList.set(vet, new Set());\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(vet: Vertex): void {\nif (!this.adjList.has(vet)) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nthis.adjList.delete(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (let set of this.adjList.values()) {\nset.delete(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nprint(): void {\nconsole.log(\"\u90bb\u63a5\u8868 =\");\nfor (const [key, value] of this.adjList.entries()) {\nconst tmp = [];\nfor (const vertex of value){\ntmp.push(vertex.val);\n}\nconsole.log(key.val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.c<pre><code>[class]{graphAdjList}-[func]{}\n</code></pre> graph_adjacency_list.cs<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList\n{\n// \u90bb\u63a5\u8868\uff0ckey: \u9876\u70b9\uff0cvalue\uff1a\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u7ed3\u70b9\nDictionary&lt;Vertex, List&lt;Vertex&gt;&gt; adjList;\n/* \u6784\u9020\u51fd\u6570 */\npublic GraphAdjList(Vertex[][] edges)\n{\nthis.adjList = new Dictionary&lt;Vertex, List&lt;Vertex&gt;&gt;();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nforeach (Vertex[] edge in edges)\n{\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size()\n{\nreturn adjList.Count;\n}\n/* \u6dfb\u52a0\u8fb9 */\npublic void addEdge(Vertex vet1, Vertex vet2)\n{\nif (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)\nthrow new InvalidOperationException();\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1].Add(vet2);\nadjList[vet2].Add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\npublic void removeEdge(Vertex vet1, Vertex vet2)\n{\nif (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)\nthrow new InvalidOperationException();\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1].Remove(vet2);\nadjList[vet2].Remove(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(Vertex vet)\n{\nif (adjList.ContainsKey(vet))\nreturn;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList.Add(vet, new List&lt;Vertex&gt;());\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(Vertex vet)\n{\nif (!adjList.ContainsKey(vet))\nthrow new InvalidOperationException();\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.Remove(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nforeach (List&lt;Vertex&gt; list in adjList.Values)\n{\nlist.Remove(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\npublic void print()\n{\nConsole.WriteLine(\"\u90bb\u63a5\u8868 =\");\nforeach (KeyValuePair&lt;Vertex, List&lt;Vertex&gt;&gt; entry in adjList)\n{\nList&lt;int&gt; tmp = new List&lt;int&gt;();\nforeach (Vertex vertex in entry.Value)\ntmp.Add(vertex.Val);\nConsole.WriteLine(entry.Key.Val + \": [\" + string.Join(\", \", tmp) + \"],\");\n}\n}\n}\n</code></pre> graph_adjacency_list.swift<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nprivate var adjList: [Vertex: Set&lt;Vertex&gt;]\n/* \u6784\u9020\u65b9\u6cd5 */\ninit(edges: [[Vertex]]) {\nadjList = [:]\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor edge in edges {\naddVertex(vet: edge[0])\naddVertex(vet: edge[1])\naddEdge(vet1: edge[0], vet2: edge[1])\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc size() -&gt; Int {\nadjList.count\n}\n/* \u6dfb\u52a0\u8fb9 */\nfunc addEdge(vet1: Vertex, vet2: Vertex) {\nif adjList[vet1] == nil || adjList[vet2] == nil || vet1 == vet2 {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1]?.insert(vet2)\nadjList[vet2]?.insert(vet1)\n}\n/* \u5220\u9664\u8fb9 */\nfunc removeEdge(vet1: Vertex, vet2: Vertex) {\nif adjList[vet1] == nil || adjList[vet2] == nil || vet1 == vet2 {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1]?.remove(vet2)\nadjList[vet2]?.remove(vet1)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc addVertex(vet: Vertex) {\nif adjList[vet] != nil {\nreturn\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList[vet] = []\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc removeVertex(vet: Vertex) {\nif adjList[vet] == nil {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.removeValue(forKey: vet)\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor key in adjList.keys {\nadjList[key]?.remove(vet)\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nfunc print() {\nSwift.print(\"\u90bb\u63a5\u8868 =\")\nfor entry in adjList {\nvar tmp: [Int] = []\nfor vertex in entry.value {\ntmp.append(vertex.val)\n}\nSwift.print(\"\\(entry.key.val): \\(tmp),\")\n}\n}\n}\n</code></pre> graph_adjacency_list.zig<pre><code>[class]{GraphAdjList}-[func]{}\n</code></pre>"},{"location":"chapter_graph/graph_operations/#923","title":"9.2.3. \u6548\u7387\u5bf9\u6bd4","text":"<p>\u8bbe\u56fe\u4e2d\u5171\u6709 \\(n\\) \u4e2a\u9876\u70b9\u548c \\(m\\) \u6761\u8fb9\uff0c\u4e0b\u8868\u4e3a\u90bb\u63a5\u77e9\u9635\u548c\u90bb\u63a5\u8868\u7684\u65f6\u95f4\u548c\u7a7a\u95f4\u6548\u7387\u5bf9\u6bd4\u3002</p> \u90bb\u63a5\u77e9\u9635 \u90bb\u63a5\u8868\uff08\u94fe\u8868\uff09 \u90bb\u63a5\u8868\uff08\u54c8\u5e0c\u8868\uff09 \u5224\u65ad\u662f\u5426\u90bb\u63a5 \\(O(1)\\) \\(O(m)\\) \\(O(1)\\) \u6dfb\u52a0\u8fb9 \\(O(1)\\) \\(O(1)\\) \\(O(1)\\) \u5220\u9664\u8fb9 \\(O(1)\\) \\(O(m)\\) \\(O(1)\\) \u6dfb\u52a0\u9876\u70b9 \\(O(n)\\) \\(O(1)\\) \\(O(1)\\) \u5220\u9664\u9876\u70b9 \\(O(n^2)\\) \\(O(n + m)\\) \\(O(n)\\) \u5185\u5b58\u7a7a\u95f4\u5360\u7528 \\(O(n^2)\\) \\(O(n + m)\\) \\(O(n + m)\\) <p>\u89c2\u5bdf\u4e0a\u8868\uff0c\u8c8c\u4f3c\u90bb\u63a5\u8868\uff08\u54c8\u5e0c\u8868\uff09\u7684\u65f6\u95f4\u4e0e\u7a7a\u95f4\u6548\u7387\u6700\u4f18\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u64cd\u4f5c\u8fb9\u7684\u6548\u7387\u66f4\u9ad8\uff0c\u53ea\u9700\u8981\u4e00\u6b21\u6570\u7ec4\u8bbf\u95ee\u6216\u8d4b\u503c\u64cd\u4f5c\u5373\u53ef\u3002\u603b\u7ed3\u4ee5\u4e0a\uff0c\u90bb\u63a5\u77e9\u9635\u4f53\u73b0\u201c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u201d\uff0c\u90bb\u63a5\u8868\u4f53\u73b0\u201c\u4ee5\u65f6\u95f4\u6362\u7a7a\u95f4\u201d\u3002</p>"},{"location":"chapter_graph/graph_traversal/","title":"9.3. \u56fe\u7684\u904d\u5386","text":"<p>\u56fe\u4e0e\u6811\u7684\u5173\u7cfb</p> <p>\u6811\u4ee3\u8868\u7684\u662f\u201c\u4e00\u5bf9\u591a\u201d\u7684\u5173\u7cfb\uff0c\u800c\u56fe\u5219\u81ea\u7531\u5ea6\u66f4\u9ad8\uff0c\u53ef\u4ee5\u4ee3\u8868\u4efb\u610f\u201c\u591a\u5bf9\u591a\u201d\u5173\u7cfb\u3002\u672c\u8d28\u4e0a\uff0c\u53ef\u4ee5\u628a\u6811\u770b\u4f5c\u662f\u56fe\u7684\u4e00\u7c7b\u7279\u4f8b\u3002\u90a3\u4e48\u663e\u7136\uff0c\u6811\u904d\u5386\u64cd\u4f5c\u4e5f\u662f\u56fe\u904d\u5386\u64cd\u4f5c\u7684\u4e00\u4e2a\u7279\u4f8b\uff0c\u4e24\u8005\u7684\u65b9\u6cd5\u662f\u975e\u5e38\u7c7b\u4f3c\u7684\uff0c\u5efa\u8bae\u4f60\u5728\u5b66\u4e60\u672c\u7ae0\u8282\u7684\u8fc7\u7a0b\u4e2d\u5c06\u4e24\u8005\u878d\u4f1a\u8d2f\u901a\u3002</p> <p>\u300c\u56fe\u300d\u4e0e\u300c\u6811\u300d\u90fd\u662f\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u90fd\u9700\u8981\u4f7f\u7528\u300c\u641c\u7d22\u7b97\u6cd5\u300d\u6765\u5b9e\u73b0\u904d\u5386\u64cd\u4f5c\u3002</p> <p>\u7c7b\u4f3c\u5730\uff0c\u56fe\u7684\u904d\u5386\u65b9\u5f0f\u4e5f\u5206\u4e3a\u4e24\u79cd\uff0c\u5373\u300c\u5e7f\u5ea6\u4f18\u5148\u904d\u5386 Breadth-First Traversal\u300d\u548c\u300c\u6df1\u5ea6\u4f18\u5148\u904d\u5386 Depth-First Travsersal\u300d\uff0c\u4e5f\u79f0\u300c\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22 Breadth-First Search\u300d\u548c\u300c\u6df1\u5ea6\u4f18\u5148\u641c\u7d22 Depth-First Search\u300d\uff0c\u7b80\u79f0\u4e3a BFS \u548c DFS \u3002</p>"},{"location":"chapter_graph/graph_traversal/#931","title":"9.3.1. \u5e7f\u5ea6\u4f18\u5148\u904d\u5386","text":"<p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u4f18\u662f\u4e00\u79cd\u7531\u8fd1\u53ca\u8fdc\u7684\u904d\u5386\u65b9\u5f0f\uff0c\u4ece\u8ddd\u79bb\u6700\u8fd1\u7684\u9876\u70b9\u5f00\u59cb\u8bbf\u95ee\uff0c\u5e76\u4e00\u5c42\u5c42\u5411\u5916\u6269\u5f20\u3002\u5177\u4f53\u5730\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u5148\u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\uff0c\u968f\u540e\u904d\u5386\u4e0b\u4e2a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026</p> <p></p>"},{"location":"chapter_graph/graph_traversal/#_1","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>BFS \u5e38\u501f\u52a9\u300c\u961f\u5217\u300d\u6765\u5b9e\u73b0\u3002\u961f\u5217\u5177\u6709\u201c\u5148\u5165\u5148\u51fa\u201d\u7684\u6027\u8d28\uff0c\u8fd9\u4e0e BFS \u201c\u7531\u8fd1\u53ca\u8fdc\u201d\u7684\u601d\u60f3\u662f\u5f02\u66f2\u540c\u5de5\u7684\u3002</p> <ol> <li>\u5c06\u904d\u5386\u8d77\u59cb\u9876\u70b9 <code>startVet</code> \u52a0\u5165\u961f\u5217\uff0c\u5e76\u5f00\u542f\u5faa\u73af\uff1b</li> <li>\u5728\u5faa\u73af\u7684\u6bcf\u8f6e\u8fed\u4ee3\u4e2d\uff0c\u5f39\u51fa\u961f\u9996\u9876\u70b9\u5f39\u51fa\u5e76\u8bb0\u5f55\u8bbf\u95ee\uff0c\u5e76\u5c06\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\u52a0\u5165\u5230\u961f\u5217\u5c3e\u90e8\uff1b</li> <li>\u5faa\u73af <code>2.</code> \uff0c\u76f4\u5230\u6240\u6709\u9876\u70b9\u8bbf\u95ee\u5b8c\u6210\u540e\u7ed3\u675f\uff1b</li> </ol> <p>\u4e3a\u4e86\u9632\u6b62\u91cd\u590d\u904d\u5386\u9876\u70b9\uff0c\u6211\u4eec\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868 <code>visited</code> \u6765\u8bb0\u5f55\u54ea\u4e9b\u7ed3\u70b9\u5df2\u88ab\u8bbf\u95ee\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_bfs.java<pre><code>/* \u5e7f\u5ea6\u4f18\u5148\u904d\u5386 BFS */\n// \u4f7f\u7528\u90bb\u63a5\u8868\u6765\u8868\u793a\u56fe\uff0c\u4ee5\u4fbf\u83b7\u53d6\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nList&lt;Vertex&gt; graphBFS(GraphAdjList graph, Vertex startVet) {\n// \u9876\u70b9\u904d\u5386\u5e8f\u5217\nList&lt;Vertex&gt; res = new ArrayList&lt;&gt;();\n// \u54c8\u5e0c\u8868\uff0c\u7528\u4e8e\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nSet&lt;Vertex&gt; visited = new HashSet&lt;&gt;() {{ add(startVet); }};\n// \u961f\u5217\u7528\u4e8e\u5b9e\u73b0 BFS\nQueue&lt;Vertex&gt; que = new LinkedList&lt;&gt;() {{ offer(startVet); }};\n// \u4ee5\u9876\u70b9 vet \u4e3a\u8d77\u70b9\uff0c\u5faa\u73af\u76f4\u81f3\u8bbf\u95ee\u5b8c\u6240\u6709\u9876\u70b9\nwhile (!que.isEmpty()) {\nVertex vet = que.poll(); // \u961f\u9996\u9876\u70b9\u51fa\u961f\nres.add(vet);            // \u8bb0\u5f55\u8bbf\u95ee\u9876\u70b9\n// \u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nfor (Vertex adjVet : graph.adjList.get(vet)) {\nif (visited.contains(adjVet))\ncontinue;        // \u8df3\u8fc7\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nque.offer(adjVet);   // \u53ea\u5165\u961f\u672a\u8bbf\u95ee\u7684\u9876\u70b9\nvisited.add(adjVet); // \u6807\u8bb0\u8be5\u9876\u70b9\u5df2\u88ab\u8bbf\u95ee\n}\n}\n// \u8fd4\u56de\u9876\u70b9\u904d\u5386\u5e8f\u5217\nreturn res;\n}\n</code></pre> graph_bfs.cpp<pre><code>\n</code></pre> graph_bfs.py<pre><code>\n</code></pre> graph_bfs.go<pre><code>\n</code></pre> graph_bfs.js<pre><code>\n</code></pre> graph_bfs.ts<pre><code>\n</code></pre> graph_bfs.c<pre><code>\n</code></pre> graph_bfs.cs<pre><code>\n</code></pre> graph_bfs.swift<pre><code>\n</code></pre> graph_bfs.zig<pre><code>\n</code></pre> <p>\u4ee3\u7801\u76f8\u5bf9\u62bd\u8c61\uff0c\u5efa\u8bae\u5bf9\u7167\u4ee5\u4e0b\u52a8\u753b\u56fe\u793a\u6765\u52a0\u6df1\u7406\u89e3\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10Step 11 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7684\u5e8f\u5217\u662f\u5426\u552f\u4e00\uff1f</p> <p>\u4e0d\u552f\u4e00\u3002\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u53ea\u8981\u6c42\u201c\u7531\u8fd1\u53ca\u8fdc\u201d\uff0c\u800c\u76f8\u540c\u8ddd\u79bb\u7684\u591a\u4e2a\u9876\u70b9\u7684\u904d\u5386\u987a\u5e8f\u5141\u8bb8\u4efb\u610f\u88ab\u6253\u4e71\u3002\u4ee5\u4e0a\u56fe\u4e3a\u4f8b\uff0c\u9876\u70b9 \\(1\\) , \\(3\\) \u7684\u8bbf\u95ee\u987a\u5e8f\u53ef\u4ee5\u4ea4\u6362\u3001\u9876\u70b9 \\(2\\) , \\(4\\) , \\(6\\) \u7684\u8bbf\u95ee\u987a\u5e8f\u4e5f\u53ef\u4ee5\u4efb\u610f\u4ea4\u6362\u3001\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026</p>"},{"location":"chapter_graph/graph_traversal/#_2","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a \u6240\u6709\u9876\u70b9\u90fd\u4f1a\u5165\u961f\u3001\u51fa\u961f\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(|V|)\\) \u65f6\u95f4\uff1b\u5728\u904d\u5386\u90bb\u63a5\u9876\u70b9\u7684\u8fc7\u7a0b\u4e2d\uff0c\u7531\u4e8e\u662f\u65e0\u5411\u56fe\uff0c\u56e0\u6b64\u6240\u6709\u8fb9\u90fd\u4f1a\u88ab\u8bbf\u95ee \\(2\\) \u6b21\uff0c\u4f7f\u7528 \\(O(2|E|)\\) \u65f6\u95f4\uff1b\u603b\u4f53\u4f7f\u7528 \\(O(|V| + |E|)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a \u5217\u8868 <code>res</code> \uff0c\u54c8\u5e0c\u8868 <code>visited</code> \uff0c\u961f\u5217 <code>que</code> \u4e2d\u7684\u9876\u70b9\u6570\u91cf\u6700\u591a\u4e3a \\(|V|\\) \uff0c\u4f7f\u7528 \\(O(|V|)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_graph/graph_traversal/#932","title":"9.3.2. \u6df1\u5ea6\u4f18\u5148\u904d\u5386","text":"<p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u662f\u4e00\u79cd\u4f18\u5148\u8d70\u5230\u5e95\u3001\u65e0\u8def\u53ef\u8d70\u518d\u56de\u5934\u7684\u904d\u5386\u65b9\u5f0f\u3002\u5177\u4f53\u5730\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u4e0d\u65ad\u5730\u8bbf\u95ee\u5f53\u524d\u7ed3\u70b9\u7684\u67d0\u4e2a\u90bb\u63a5\u9876\u70b9\uff0c\u76f4\u5230\u8d70\u5230\u5c3d\u5934\u65f6\u56de\u6eaf\uff0c\u518d\u7ee7\u7eed\u8d70\u5230\u5e95 + \u56de\u6eaf\uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u76f4\u81f3\u6240\u6709\u9876\u70b9\u904d\u5386\u5b8c\u6210\u65f6\u7ed3\u675f\u3002</p> <p></p>"},{"location":"chapter_graph/graph_traversal/#_3","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u8fd9\u79cd\u201c\u8d70\u5230\u5934 + \u56de\u6eaf\u201d\u7684\u7b97\u6cd5\u5f62\u5f0f\u4e00\u822c\u57fa\u4e8e\u9012\u5f52\u6765\u5b9e\u73b0\u3002\u4e0e BFS \u7c7b\u4f3c\uff0c\u5728 DFS \u4e2d\u6211\u4eec\u4e5f\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868 <code>visited</code> \u6765\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u7684\u9876\u70b9\uff0c\u4ee5\u907f\u514d\u91cd\u590d\u8bbf\u95ee\u9876\u70b9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_dfs.java<pre><code>/* \u6df1\u5ea6\u4f18\u5148\u904d\u5386 DFS \u8f85\u52a9\u51fd\u6570 */\nvoid dfs(GraphAdjList graph, Set&lt;Vertex&gt; visited, List&lt;Vertex&gt; res, Vertex vet) {\nres.add(vet);     // \u8bb0\u5f55\u8bbf\u95ee\u9876\u70b9\nvisited.add(vet); // \u6807\u8bb0\u8be5\u9876\u70b9\u5df2\u88ab\u8bbf\u95ee\n// \u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nfor (Vertex adjVet : graph.adjList.get(vet)) {\nif (visited.contains(adjVet))\ncontinue; // \u8df3\u8fc7\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\n// \u9012\u5f52\u8bbf\u95ee\u90bb\u63a5\u9876\u70b9\ndfs(graph, visited, res, adjVet);\n}\n}\n/* \u6df1\u5ea6\u4f18\u5148\u904d\u5386 DFS */\n// \u4f7f\u7528\u90bb\u63a5\u8868\u6765\u8868\u793a\u56fe\uff0c\u4ee5\u4fbf\u83b7\u53d6\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nList&lt;Vertex&gt; graphDFS(GraphAdjList graph, Vertex startVet) {\n// \u9876\u70b9\u904d\u5386\u5e8f\u5217\nList&lt;Vertex&gt; res = new ArrayList&lt;&gt;();\n// \u54c8\u5e0c\u8868\uff0c\u7528\u4e8e\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nSet&lt;Vertex&gt; visited = new HashSet&lt;&gt;();\ndfs(graph, visited, res, startVet);\nreturn res;\n}\n</code></pre> graph_dfs.cpp<pre><code>\n</code></pre> graph_dfs.py<pre><code>\n</code></pre> graph_dfs.go<pre><code>\n</code></pre> graph_dfs.js<pre><code>\n</code></pre> graph_dfs.ts<pre><code>\n</code></pre> graph_dfs.c<pre><code>\n</code></pre> graph_dfs.cs<pre><code>\n</code></pre> graph_dfs.swift<pre><code>\n</code></pre> graph_dfs.zig<pre><code>\n</code></pre> <p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u7b97\u6cd5\u6d41\u7a0b\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5176\u4e2d</p> <ul> <li>\u76f4\u865a\u7ebf\u4ee3\u8868\u5411\u4e0b\u9012\u63a8\uff0c\u4ee3\u8868\u5f00\u542f\u4e86\u4e00\u4e2a\u65b0\u7684\u9012\u5f52\u65b9\u6cd5\u6765\u8bbf\u95ee\u65b0\u9876\u70b9\uff1b</li> <li>\u66f2\u865a\u7ebf\u4ee3\u8868\u5411\u4e0a\u56de\u6eaf\uff0c\u4ee3\u8868\u6b64\u9012\u5f52\u65b9\u6cd5\u5df2\u7ecf\u8fd4\u56de\uff0c\u56de\u6eaf\u5230\u4e86\u5f00\u542f\u6b64\u9012\u5f52\u65b9\u6cd5\u7684\u4f4d\u7f6e\uff1b</li> </ul> <p>\u4e3a\u4e86\u52a0\u6df1\u7406\u89e3\uff0c\u8bf7\u4f60\u5c06\u56fe\u793a\u4e0e\u4ee3\u7801\u7ed3\u5408\u8d77\u6765\uff0c\u5728\u8111\u4e2d\uff08\u6216\u8005\u7528\u7b14\u753b\u4e0b\u6765\uff09\u6a21\u62df\u6574\u4e2a DFS \u8fc7\u7a0b\uff0c\u5305\u62ec\u6bcf\u4e2a\u9012\u5f52\u65b9\u6cd5\u4f55\u65f6\u5f00\u542f\u3001\u4f55\u65f6\u8fd4\u56de\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10Step 11 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u5e8f\u5217\u662f\u5426\u552f\u4e00\uff1f</p> <p>\u4e0e\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7c7b\u4f3c\uff0c\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u5e8f\u5217\u7684\u987a\u5e8f\u4e5f\u4e0d\u662f\u552f\u4e00\u7684\u3002\u7ed9\u5b9a\u67d0\u9876\u70b9\uff0c\u5148\u5f80\u54ea\u4e2a\u65b9\u5411\u63a2\u7d22\u90fd\u884c\uff0c\u90fd\u662f\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u3002</p> <p>\u4ee5\u6811\u7684\u904d\u5386\u4e3a\u4f8b\uff0c\u201c\u6839 \\(\\rightarrow\\) \u5de6 \\(\\rightarrow\\) \u53f3\u201d\u3001\u201c\u5de6 \\(\\rightarrow\\) \u6839 \\(\\rightarrow\\) \u53f3\u201d\u3001\u201c\u5de6 \\(\\rightarrow\\) \u53f3 \\(\\rightarrow\\) \u6839\u201d\u5206\u522b\u5bf9\u5e94\u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386\uff0c\u4f53\u73b0\u4e09\u79cd\u4e0d\u540c\u7684\u904d\u5386\u4f18\u5148\u7ea7\uff0c\u800c\u4e09\u8005\u90fd\u5c5e\u4e8e\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u3002</p>"},{"location":"chapter_graph/graph_traversal/#_4","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a \u6240\u6709\u9876\u70b9\u90fd\u88ab\u8bbf\u95ee\u4e00\u6b21\uff1b\u6240\u6709\u8fb9\u90fd\u88ab\u8bbf\u95ee\u4e86 \\(2\\) \u6b21\uff0c\u4f7f\u7528 \\(O(2|E|)\\) \u65f6\u95f4\uff1b\u603b\u4f53\u4f7f\u7528 \\(O(|V| + |E|)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a \u5217\u8868 <code>res</code> \uff0c\u54c8\u5e0c\u8868 <code>visited</code> \u9876\u70b9\u6570\u91cf\u6700\u591a\u4e3a \\(|V|\\) \uff0c\u9012\u5f52\u6df1\u5ea6\u6700\u5927\u4e3a \\(|V|\\) \uff0c\u56e0\u6b64\u4f7f\u7528 \\(O(|V|)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_hashing/hash_collision/","title":"6.2. \u54c8\u5e0c\u51b2\u7a81","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u54c8\u5e0c\u51fd\u6570\u5e94\u8be5\u4e3a\u6bcf\u4e2a\u8f93\u5165\u4ea7\u751f\u552f\u4e00\u7684\u8f93\u51fa\uff0c\u4f7f\u5f97 key \u548c value \u4e00\u4e00\u5bf9\u5e94\u3002\u800c\u5b9e\u9645\u4e0a\uff0c\u5f80\u5f80\u5b58\u5728\u5411\u54c8\u5e0c\u51fd\u6570\u8f93\u5165\u4e0d\u540c\u7684 key \u800c\u4ea7\u751f\u76f8\u540c\u8f93\u51fa\u7684\u60c5\u51b5\uff0c\u8fd9\u79cd\u60c5\u51b5\u88ab\u79f0\u4e3a\u300c\u54c8\u5e0c\u51b2\u7a81 Hash Collision\u300d\u3002\u54c8\u5e0c\u51b2\u7a81\u4f1a\u5bfc\u81f4\u67e5\u8be2\u7ed3\u679c\u9519\u8bef\uff0c\u4ece\u800c\u4e25\u91cd\u5f71\u54cd\u54c8\u5e0c\u8868\u7684\u53ef\u7528\u6027\u3002</p> <p>\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\u5462\uff1f\u672c\u8d28\u4e0a\u770b\uff0c\u7531\u4e8e\u54c8\u5e0c\u51fd\u6570\u7684\u8f93\u5165\u7a7a\u95f4\u5f80\u5f80\u8fdc\u5927\u4e8e\u8f93\u51fa\u7a7a\u95f4\uff0c\u56e0\u6b64\u4e0d\u53ef\u907f\u514d\u5730\u4f1a\u51fa\u73b0\u591a\u4e2a\u8f93\u5165\u4ea7\u751f\u76f8\u540c\u8f93\u51fa\u7684\u60c5\u51b5\uff0c\u5373\u4e3a\u54c8\u5e0c\u51b2\u7a81\u3002\u6bd4\u5982\uff0c\u8f93\u5165\u7a7a\u95f4\u662f\u5168\u4f53\u6574\u6570\uff0c\u8f93\u51fa\u7a7a\u95f4\u662f\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u6876\uff08\u6570\u7ec4\uff09\u7684\u7d22\u5f15\u8303\u56f4\uff0c\u90a3\u4e48\u5fc5\u5b9a\u4f1a\u6709\u591a\u4e2a\u6574\u6570\u540c\u65f6\u6620\u5c04\u5230\u4e00\u4e2a\u6876\u7d22\u5f15\u3002</p> <p>\u4e3a\u4e86\u7f13\u89e3\u54c8\u5e0c\u51b2\u7a81\uff0c\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u300c\u54c8\u5e0c\u8868\u6269\u5bb9\u300d\u6765\u51cf\u5c0f\u51b2\u7a81\u6982\u7387\u3002\u6781\u7aef\u60c5\u51b5\u4e0b\uff0c\u5f53\u8f93\u5165\u7a7a\u95f4\u548c\u8f93\u51fa\u7a7a\u95f4\u5927\u5c0f\u76f8\u7b49\u65f6\uff0c\u54c8\u5e0c\u8868\u5c31\u7b49\u4ef7\u4e8e\u6570\u7ec4\u4e86\uff0c\u53ef\u8c13\u201c\u5927\u529b\u51fa\u5947\u8ff9\u201d\u3002</p> <p>\u53e6\u4e00\u65b9\u9762\uff0c\u8003\u8651\u901a\u8fc7\u4f18\u5316\u6570\u636e\u7ed3\u6784\u4ee5\u7f13\u89e3\u54c8\u5e0c\u51b2\u7a81\uff0c\u5e38\u89c1\u7684\u65b9\u6cd5\u6709\u300c\u94fe\u5f0f\u5730\u5740\u300d\u548c\u300c\u5f00\u653e\u5bfb\u5740\u300d\u3002</p>"},{"location":"chapter_hashing/hash_collision/#621","title":"6.2.1. \u54c8\u5e0c\u8868\u6269\u5bb9","text":"<p>\u300c\u8d1f\u8f7d\u56e0\u5b50 Load Factor\u300d\u5b9a\u4e49\u4e3a \u54c8\u5e0c\u8868\u4e2d\u5143\u7d20\u6570\u91cf\u9664\u4ee5\u6876\u69fd\u6570\u91cf\uff08\u5373\u6570\u7ec4\u5927\u5c0f\uff09\uff0c\u4ee3\u8868\u54c8\u5e0c\u51b2\u7a81\u7684\u4e25\u91cd\u7a0b\u5ea6\u3002</p> <p>\u8d1f\u8f7d\u56e0\u5b50\u5e38\u7528\u4f5c\u54c8\u5e0c\u8868\u6269\u5bb9\u7684\u89e6\u53d1\u6761\u4ef6\u3002\u6bd4\u5982\u5728 Java \u4e2d\uff0c\u5f53\u8d1f\u8f7d\u56e0\u5b50 \\(&gt; 0.75\\) \u65f6\u5219\u89e6\u53d1\u6269\u5bb9\uff0c\u5c06 HashMap \u5927\u5c0f\u6269\u5145\u81f3\u539f\u5148\u7684 \\(2\\) \u500d\u3002</p> <p>\u4e0e\u6570\u7ec4\u6269\u5bb9\u7c7b\u4f3c\uff0c\u54c8\u5e0c\u8868\u6269\u5bb9\u64cd\u4f5c\u7684\u5f00\u9500\u5f88\u5927\uff0c\u56e0\u4e3a\u9700\u8981\u5c06\u6240\u6709\u952e\u503c\u5bf9\u4ece\u539f\u54c8\u5e0c\u8868\u4f9d\u6b21\u79fb\u52a8\u81f3\u65b0\u54c8\u5e0c\u8868\u3002</p>"},{"location":"chapter_hashing/hash_collision/#622","title":"6.2.2. \u94fe\u5f0f\u5730\u5740","text":"<p>\u5728\u539f\u59cb\u54c8\u5e0c\u8868\u4e2d\uff0c\u6876\u5185\u7684\u6bcf\u4e2a\u5730\u5740\u53ea\u80fd\u5b58\u50a8\u4e00\u4e2a\u5143\u7d20\uff08\u5373\u952e\u503c\u5bf9\uff09\u3002\u8003\u8651\u5c06\u5355\u4e2a\u5143\u7d20\u8f6c\u5316\u6210\u4e00\u4e2a\u94fe\u8868\uff0c\u5c06\u6240\u6709\u51b2\u7a81\u5143\u7d20\u90fd\u5b58\u50a8\u5728\u4e00\u4e2a\u94fe\u8868\u4e2d\u3002</p> <p></p> <p>\u94fe\u5f0f\u5730\u5740\u4e0b\uff0c\u54c8\u5e0c\u8868\u64cd\u4f5c\u65b9\u6cd5\u4e3a\uff1a</p> <ul> <li>\u67e5\u8be2\u5143\u7d20\uff1a\u5148\u5c06 key \u8f93\u5165\u5230\u54c8\u5e0c\u51fd\u6570\u5f97\u5230\u6876\u5185\u7d22\u5f15\uff0c\u5373\u53ef\u8bbf\u95ee\u94fe\u8868\u5934\u7ed3\u70b9\uff0c\u518d\u901a\u8fc7\u904d\u5386\u94fe\u8868\u67e5\u627e\u5bf9\u5e94 value \u3002</li> <li>\u6dfb\u52a0\u5143\u7d20\uff1a\u5148\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u8bbf\u95ee\u94fe\u8868\u5934\u90e8\uff0c\u518d\u5c06\u7ed3\u70b9\uff08\u5373\u952e\u503c\u5bf9\uff09\u6dfb\u52a0\u5230\u94fe\u8868\u5934\u90e8\u5373\u53ef\u3002</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u540c\u6837\u5148\u6839\u636e\u54c8\u5e0c\u51fd\u6570\u7ed3\u679c\u8bbf\u95ee\u94fe\u8868\u5934\u90e8\uff0c\u518d\u904d\u5386\u94fe\u8868\u67e5\u627e\u5bf9\u5e94\u7ed3\u70b9\uff0c\u5220\u9664\u4e4b\u5373\u53ef\u3002</li> </ul> <p>\u94fe\u5f0f\u5730\u5740\u867d\u7136\u89e3\u51b3\u4e86\u54c8\u5e0c\u51b2\u7a81\u95ee\u9898\uff0c\u4f46\u4ecd\u5b58\u5728\u5c40\u9650\u6027\uff0c\u5305\u62ec\uff1a</p> <ul> <li>\u5360\u7528\u7a7a\u95f4\u53d8\u5927\uff0c\u56e0\u4e3a\u94fe\u8868\u6216\u4e8c\u53c9\u6811\u5305\u542b\u7ed3\u70b9\u6307\u9488\uff0c\u76f8\u6bd4\u4e8e\u6570\u7ec4\u66f4\u52a0\u8017\u8d39\u5185\u5b58\u7a7a\u95f4\uff1b</li> <li>\u67e5\u8be2\u6548\u7387\u964d\u4f4e\uff0c\u56e0\u4e3a\u9700\u8981\u7ebf\u6027\u904d\u5386\u94fe\u8868\u6765\u67e5\u627e\u5bf9\u5e94\u5143\u7d20\uff1b</li> </ul> <p>\u4e3a\u4e86\u7f13\u89e3\u65f6\u95f4\u6548\u7387\u95ee\u9898\uff0c\u53ef\u4ee5\u628a\u300c\u94fe\u8868\u300d\u8f6c\u5316\u4e3a\u300cAVL \u6811\u300d\u6216\u300c\u7ea2\u9ed1\u6811\u300d\uff0c\u5c06\u67e5\u8be2\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u81f3 \\(O(\\log n)\\) \u3002</p>"},{"location":"chapter_hashing/hash_collision/#623","title":"6.2.3. \u5f00\u653e\u5bfb\u5740","text":"<p>\u300c\u5f00\u653e\u5bfb\u5740\u300d\u4e0d\u5f15\u5165\u989d\u5916\u6570\u636e\u7ed3\u6784\uff0c\u800c\u662f\u901a\u8fc7\u201c\u591a\u6b21\u63a2\u6d4b\u201d\u6765\u89e3\u51b3\u54c8\u5e0c\u51b2\u7a81\u3002\u6839\u636e\u63a2\u6d4b\u65b9\u6cd5\u7684\u4e0d\u540c\uff0c\u4e3b\u8981\u5206\u4e3a \u7ebf\u6027\u63a2\u6d4b\u3001\u5e73\u65b9\u63a2\u6d4b\u3001\u591a\u6b21\u54c8\u5e0c\u3002</p>"},{"location":"chapter_hashing/hash_collision/#_1","title":"\u7ebf\u6027\u63a2\u6d4b","text":"<p>\u300c\u7ebf\u6027\u63a2\u6d4b\u300d\u4f7f\u7528\u56fa\u5b9a\u6b65\u957f\u7684\u7ebf\u6027\u67e5\u627e\u6765\u89e3\u51b3\u54c8\u5e0c\u51b2\u7a81\u3002</p> <p>\u63d2\u5165\u5143\u7d20\uff1a\u5982\u679c\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\uff0c\u5219\u4ece\u51b2\u7a81\u4f4d\u7f6e\u5411\u540e\u7ebf\u6027\u904d\u5386\uff08\u6b65\u957f\u4e00\u822c\u53d6 1 \uff09\uff0c\u76f4\u5230\u627e\u5230\u4e00\u4e2a\u7a7a\u4f4d\uff0c\u5219\u5c06\u5143\u7d20\u63d2\u5165\u5230\u8be5\u7a7a\u4f4d\u4e2d\u3002</p> <p>\u67e5\u627e\u5143\u7d20\uff1a\u82e5\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\uff0c\u5219\u4f7f\u7528\u76f8\u540c\u6b65\u957f\u6267\u884c\u7ebf\u6027\u67e5\u627e\uff0c\u4f1a\u9047\u5230\u4e24\u79cd\u60c5\u51b5\uff1a</p> <ol> <li>\u627e\u5230\u5bf9\u5e94\u5143\u7d20\uff0c\u8fd4\u56de value \u5373\u53ef\uff1b</li> <li>\u82e5\u9047\u5230\u7a7a\u4f4d\uff0c\u5219\u8bf4\u660e\u67e5\u627e\u952e\u503c\u5bf9\u4e0d\u5728\u54c8\u5e0c\u8868\u4e2d\uff1b</li> </ol> <p></p> <p>\u7ebf\u6027\u63a2\u6d4b\u5b58\u5728\u4ee5\u4e0b\u7f3a\u9677\uff1a</p> <ul> <li>\u4e0d\u80fd\u76f4\u63a5\u5220\u9664\u5143\u7d20\u3002\u5220\u9664\u5143\u7d20\u4f1a\u5bfc\u81f4\u6876\u5185\u51fa\u73b0\u4e00\u4e2a\u7a7a\u4f4d\uff0c\u5728\u67e5\u627e\u5176\u4ed6\u5143\u7d20\u65f6\uff0c\u8be5\u7a7a\u4f4d\u6709\u53ef\u80fd\u5bfc\u81f4\u7a0b\u5e8f\u8ba4\u4e3a\u5143\u7d20\u4e0d\u5b58\u5728\uff08\u5373\u4e0a\u8ff0\u7b2c <code>2.</code> \u79cd\u60c5\u51b5\uff09\u3002\u56e0\u6b64\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u6807\u5fd7\u4f4d\u6765\u6807\u8bb0\u5220\u9664\u5143\u7d20\u3002</li> <li>\u5bb9\u6613\u4ea7\u751f\u805a\u96c6\u3002\u6876\u5185\u88ab\u5360\u7528\u7684\u8fde\u7eed\u4f4d\u7f6e\u8d8a\u957f\uff0c\u8fd9\u4e9b\u8fde\u7eed\u4f4d\u7f6e\u53d1\u751f\u54c8\u5e0c\u51b2\u7a81\u7684\u53ef\u80fd\u6027\u8d8a\u5927\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u4fc3\u8fdb\u8fd9\u4e00\u4f4d\u7f6e\u7684\u201c\u805a\u5806\u751f\u957f\u201d\uff0c\u6700\u7ec8\u5bfc\u81f4\u589e\u5220\u67e5\u6539\u64cd\u4f5c\u6548\u7387\u7684\u52a3\u5316\u3002</li> </ul>"},{"location":"chapter_hashing/hash_collision/#_2","title":"\u591a\u6b21\u54c8\u5e0c","text":"<p>\u987e\u540d\u601d\u4e49\uff0c\u300c\u591a\u6b21\u54c8\u5e0c\u300d\u7684\u601d\u8def\u662f\u4f7f\u7528\u591a\u4e2a\u54c8\u5e0c\u51fd\u6570 \\(f_1(x)\\) , \\(f_2(x)\\) , \\(f_3(x)\\) , \\(\\cdots\\) \u8fdb\u884c\u63a2\u6d4b\u3002</p> <p>\u63d2\u5165\u5143\u7d20\uff1a\u82e5\u54c8\u5e0c\u51fd\u6570 \\(f_1(x)\\) \u51fa\u73b0\u51b2\u7a81\uff0c\u5219\u5c1d\u8bd5 \\(f_2(x)\\) \uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u76f4\u5230\u627e\u5230\u7a7a\u4f4d\u540e\u63d2\u5165\u5143\u7d20\u3002</p> <p>\u67e5\u627e\u5143\u7d20\uff1a\u4ee5\u76f8\u540c\u7684\u54c8\u5e0c\u51fd\u6570\u987a\u5e8f\u67e5\u627e\uff0c\u5b58\u5728\u4e24\u79cd\u60c5\u51b5\uff1a</p> <ol> <li>\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u4e4b\uff1b</li> <li>\u5230\u7a7a\u4f4d\u6216\u5df2\u5c1d\u8bd5\u6240\u6709\u54c8\u5e0c\u51fd\u6570\uff0c\u8bf4\u660e\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64\u5143\u7d20\uff1b</li> </ol> <p>\u76f8\u6bd4\u4e8e\u300c\u7ebf\u6027\u63a2\u6d4b\u300d\uff0c\u300c\u591a\u6b21\u54c8\u5e0c\u300d\u65b9\u6cd5\u66f4\u4e0d\u5bb9\u6613\u4ea7\u751f\u805a\u96c6\uff0c\u4ee3\u4ef7\u662f\u591a\u4e2a\u54c8\u5e0c\u51fd\u6570\u589e\u52a0\u4e86\u989d\u5916\u8ba1\u7b97\u91cf\u3002</p> <p>\u5de5\u4e1a\u754c\u65b9\u6848</p> <p>Java \u91c7\u7528\u300c\u94fe\u5f0f\u5730\u5740\u300d\u3002\u5728 JDK 1.8 \u4e4b\u540e\uff0cHashMap \u5185\u6570\u7ec4\u957f\u5ea6\u5927\u4e8e 64 \u65f6\uff0c\u957f\u5ea6\u5927\u4e8e 8 \u7684\u94fe\u8868\u4f1a\u88ab\u8f6c\u5316\u4e3a\u300c\u7ea2\u9ed1\u6811\u300d\uff0c\u4ee5\u63d0\u5347\u67e5\u627e\u6027\u80fd\u3002</p> <p>Python \u91c7\u7528\u300c\u5f00\u653e\u5bfb\u5740\u300d\u3002\u5b57\u5178 dict \u4f7f\u7528\u4f2a\u968f\u673a\u6570\u8fdb\u884c\u63a2\u6d4b\u3002 </p>"},{"location":"chapter_hashing/hash_map/","title":"6.1. \u54c8\u5e0c\u8868","text":"<p>\u54c8\u5e0c\u8868\u901a\u8fc7\u5efa\u7acb\u300c\u952e key\u300d\u548c\u300c\u503c value\u300d\u4e4b\u95f4\u7684\u6620\u5c04\uff0c\u5b9e\u73b0\u9ad8\u6548\u7684\u5143\u7d20\u67e5\u627e\u3002\u5177\u4f53\u5730\uff0c\u8f93\u5165\u4e00\u4e2a key \uff0c\u5728\u54c8\u5e0c\u8868\u4e2d\u67e5\u8be2\u5e76\u83b7\u53d6 value \uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \u3002</p> <p>\u4f8b\u5982\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u5305\u542b \\(n\\) \u4e2a\u5b66\u751f\u7684\u6570\u636e\u5e93\uff0c\u6bcf\u4e2a\u5b66\u751f\u6709\u201c\u59d3\u540d <code>name</code> \u201d\u548c\u201c\u5b66\u53f7 <code>id</code> \u201d\u4e24\u9879\u6570\u636e\uff0c\u5e0c\u671b\u5b9e\u73b0\u4e00\u4e2a\u67e5\u8be2\u529f\u80fd\uff1a\u8f93\u5165\u4e00\u4e2a\u5b66\u53f7\uff0c\u8fd4\u56de\u5bf9\u5e94\u7684\u59d3\u540d\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528\u54c8\u5e0c\u8868\u5b9e\u73b0\u3002</p> <p></p> <p> Fig. \u54c8\u5e0c\u8868\u62bd\u8c61\u8868\u793a </p>"},{"location":"chapter_hashing/hash_map/#611","title":"6.1.1. \u54c8\u5e0c\u8868\u6548\u7387","text":"<p>\u9664\u4e86\u54c8\u5e0c\u8868\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u6570\u636e\u7ed3\u6784\u6765\u5b9e\u73b0\u4e0a\u8ff0\u67e5\u8be2\u529f\u80fd\uff1a</p> <ol> <li>\u65e0\u5e8f\u6570\u7ec4\uff1a\u6bcf\u4e2a\u5143\u7d20\u4e3a  <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff1b</li> <li>\u6709\u5e8f\u6570\u7ec4\uff1a\u5c06 <code>1.</code> \u4e2d\u7684\u6570\u7ec4\u6309\u7167\u5b66\u53f7\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\uff1b</li> <li>\u94fe\u8868\uff1a\u6bcf\u4e2a\u7ed3\u70b9\u7684\u503c\u4e3a <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff1b</li> <li>\u4e8c\u53c9\u641c\u7d22\u6811\uff1a\u6bcf\u4e2a\u7ed3\u70b9\u7684\u503c\u4e3a <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff0c\u6839\u636e\u5b66\u53f7\u5927\u5c0f\u6765\u6784\u5efa\u6811\uff1b</li> </ol> <p>\u4f7f\u7528\u4e0a\u8ff0\u65b9\u6cd5\uff0c\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5982\u4e0b\u8868\u6240\u793a\uff08\u5728\u6b64\u4e0d\u505a\u8d58\u8ff0\uff0c\u8be6\u89e3\u53ef\u89c1 \u4e8c\u53c9\u641c\u7d22\u6811\u7ae0\u8282\uff09\u3002\u65e0\u8bba\u662f\u67e5\u627e\u5143\u7d20\u3001\u8fd8\u662f\u589e\u5220\u5143\u7d20\uff0c\u54c8\u5e0c\u8868\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f \\(O(1)\\) \uff0c\u5168\u9762\u80dc\u51fa\uff01</p> \u65e0\u5e8f\u6570\u7ec4 \u6709\u5e8f\u6570\u7ec4 \u94fe\u8868 \u4e8c\u53c9\u641c\u7d22\u6811 \u54c8\u5e0c\u8868 \u67e5\u627e\u5143\u7d20 \\(O(n)\\) \\(O(\\log n)\\) \\(O(n)\\) \\(O(\\log n)\\) \\(O(1)\\) \u63d2\u5165\u5143\u7d20 \\(O(1)\\) \\(O(n)\\) \\(O(1)\\) \\(O(\\log n)\\) \\(O(1)\\) \u5220\u9664\u5143\u7d20 \\(O(n)\\) \\(O(n)\\) \\(O(n)\\) \\(O(\\log n)\\) \\(O(1)\\)"},{"location":"chapter_hashing/hash_map/#612","title":"6.1.2. \u54c8\u5e0c\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u54c8\u5e0c\u8868\u7684\u57fa\u672c\u64cd\u4f5c\u5305\u62ec \u521d\u59cb\u5316\u3001\u67e5\u8be2\u64cd\u4f5c\u3001\u6dfb\u52a0\u4e0e\u5220\u9664\u952e\u503c\u5bf9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hash_map.java<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nMap&lt;Integer, String&gt; map = new HashMap&lt;&gt;();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.put(12836, \"\u5c0f\u54c8\");   map.put(15937, \"\u5c0f\u5570\");   map.put(16750, \"\u5c0f\u7b97\");   map.put(13276, \"\u5c0f\u6cd5\");\nmap.put(10583, \"\u5c0f\u9e2d\");\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nString name = map.get(15937);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.remove(10583);\n</code></pre> hash_map.cpp<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nunordered_map&lt;int, string&gt; map;\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap[12836] = \"\u5c0f\u54c8\";\nmap[15937] = \"\u5c0f\u5570\";\nmap[16750] = \"\u5c0f\u7b97\";\nmap[13276] = \"\u5c0f\u6cd5\";\nmap[10583] = \"\u5c0f\u9e2d\";\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nstring name = map[15937];\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.erase(10583);\n</code></pre> hash_map.py<pre><code>\"\"\" \u521d\u59cb\u5316\u54c8\u5e0c\u8868 \"\"\"\nmapp = {}\n\"\"\" \u6dfb\u52a0\u64cd\u4f5c \"\"\"\n# \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmapp[12836] = \"\u5c0f\u54c8\"\nmapp[15937] = \"\u5c0f\u5570\"\nmapp[16750] = \"\u5c0f\u7b97\"\nmapp[13276] = \"\u5c0f\u6cd5\"\nmapp[10583] = \"\u5c0f\u9e2d\"\n\"\"\" \u67e5\u8be2\u64cd\u4f5c \"\"\"\n# \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nname = mapp[15937]\n\"\"\" \u5220\u9664\u64cd\u4f5c \"\"\"\n# \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmapp.pop(10583)\n</code></pre> hash_map.go<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nmapp := make(map[int]string)\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmapp[12836] = \"\u5c0f\u54c8\"\nmapp[15937] = \"\u5c0f\u5570\"\nmapp[16750] = \"\u5c0f\u7b97\"\nmapp[13276] = \"\u5c0f\u6cd5\"\nmapp[10583] = \"\u5c0f\u9e2d\"\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nname := mapp[15937]\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\ndelete(mapp, 10583)\n</code></pre> hash_map.js<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nconst map = new ArrayHashMap();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.set(12836, '\u5c0f\u54c8');\nmap.set(15937, '\u5c0f\u5570');\nmap.set(16750, '\u5c0f\u7b97');\nmap.set(13276, '\u5c0f\u6cd5');\nmap.set(10583, '\u5c0f\u9e2d');\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map.get(15937);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.delete(10583);\n</code></pre> hash_map.ts<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nconst map = new Map&lt;number, string&gt;();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.set(12836, '\u5c0f\u54c8');\nmap.set(15937, '\u5c0f\u5570');\nmap.set(16750, '\u5c0f\u7b97');\nmap.set(13276, '\u5c0f\u6cd5');\nmap.set(10583, '\u5c0f\u9e2d');\nconsole.info('\\n\u6dfb\u52a0\u5b8c\u6210\u540e\uff0c\u54c8\u5e0c\u8868\u4e3a\\nKey -&gt; Value');\nconsole.info(map);\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map.get(15937);\nconsole.info('\\n\u8f93\u5165\u5b66\u53f7 15937 \uff0c\u67e5\u8be2\u5230\u59d3\u540d ' + name);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.delete(10583);\nconsole.info('\\n\u5220\u9664 10583 \u540e\uff0c\u54c8\u5e0c\u8868\u4e3a\\nKey -&gt; Value');\nconsole.info(map);\n</code></pre> hash_map.c<pre><code>\n</code></pre> hash_map.cs<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nDictionary&lt;int, String&gt; map = new ();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.Add(12836, \"\u5c0f\u54c8\");\nmap.Add(15937, \"\u5c0f\u5570\");\nmap.Add(16750, \"\u5c0f\u7b97\");\nmap.Add(13276, \"\u5c0f\u6cd5\");\nmap.Add(10583, \"\u5c0f\u9e2d\");\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nString name = map[15937];\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.Remove(10583);\n</code></pre> hash_map.swift<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nvar map: [Int: String] = [:]\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap[12836] = \"\u5c0f\u54c8\"\nmap[15937] = \"\u5c0f\u5570\"\nmap[16750] = \"\u5c0f\u7b97\"\nmap[13276] = \"\u5c0f\u6cd5\"\nmap[10583] = \"\u5c0f\u9e2d\"\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map[15937]!\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.removeValue(forKey: 10583)\n</code></pre> hash_map.zig<pre><code>\n</code></pre> <p>\u904d\u5386\u54c8\u5e0c\u8868\u6709\u4e09\u79cd\u65b9\u5f0f\uff0c\u5373 \u904d\u5386\u952e\u503c\u5bf9\u3001\u904d\u5386\u952e\u3001\u904d\u5386\u503c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hash_map.java<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor (Map.Entry &lt;Integer, String&gt; kv: map.entrySet()) {\nSystem.out.println(kv.getKey() + \" -&gt; \" + kv.getValue());\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor (int key: map.keySet()) {\nSystem.out.println(key);\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor (String val: map.values()) {\nSystem.out.println(val);\n}\n</code></pre> hash_map.cpp<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor (auto kv: map) {\ncout &lt;&lt; kv.first &lt;&lt; \" -&gt; \" &lt;&lt; kv.second &lt;&lt; endl;\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor (auto key: map) {\ncout &lt;&lt; key.first &lt;&lt; endl;\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor (auto val: map) {\ncout &lt;&lt; val.second &lt;&lt; endl;\n}\n</code></pre> hash_map.py<pre><code>\"\"\" \u904d\u5386\u54c8\u5e0c\u8868 \"\"\"\n# \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor key, value in mapp.items():\nprint(key, \"-&gt;\", value)\n# \u5355\u72ec\u904d\u5386\u952e key\nfor key in mapp.keys():\nprint(key)\n# \u5355\u72ec\u904d\u5386\u503c value\nfor value in mapp.values():\nprint(value)\n</code></pre> hash_map_test.go<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor key, value := range mapp {\nfmt.Println(key, \"-&gt;\", value)\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor key := range mapp {\nfmt.Println(key)\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor _, value := range mapp {\nfmt.Println(value)\n}\n</code></pre> hash_map.js<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\nconsole.info('\\n\u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value');\nfor (const [k, v] of map.entries()) {\nconsole.info(k + ' -&gt; ' + v);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u952e Key');\nfor (const k of map.keys()) {\nconsole.info(k);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u503c Value');\nfor (const v of map.values()) {\nconsole.info(v);\n}\n</code></pre> hash_map.ts<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\nconsole.info('\\n\u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value');\nfor (const [k, v] of map.entries()) {\nconsole.info(k + ' -&gt; ' + v);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u952e Key');\nfor (const k of map.keys()) {\nconsole.info(k);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u503c Value');\nfor (const v of map.values()) {\nconsole.info(v);\n}\n</code></pre> hash_map.c<pre><code>\n</code></pre> hash_map.cs<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value\nforeach (var kv in map) {\nConsole.WriteLine(kv.Key + \" -&gt; \" + kv.Value);\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nforeach (int key in map.Keys) {\nConsole.WriteLine(key);\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nforeach (String val in map.Values) {\nConsole.WriteLine(val);\n}\n</code></pre> hash_map.swift<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value\nfor (key, value) in map {\nprint(\"\\(key) -&gt; \\(value)\")\n}\n// \u5355\u72ec\u904d\u5386\u952e Key\nfor key in map.keys {\nprint(key)\n}\n// \u5355\u72ec\u904d\u5386\u503c Value\nfor value in map.values {\nprint(value)\n}\n</code></pre> hash_map.zig<pre><code>\n</code></pre>"},{"location":"chapter_hashing/hash_map/#613","title":"6.1.3. \u54c8\u5e0c\u51fd\u6570","text":"<p>\u54c8\u5e0c\u8868\u4e2d\u5b58\u50a8\u5143\u7d20\u7684\u6570\u636e\u7ed3\u6784\u88ab\u79f0\u4e3a\u300c\u6876 Bucket\u300d\uff0c\u5e95\u5c42\u5b9e\u73b0\u53ef\u80fd\u662f\u6570\u7ec4\u3001\u94fe\u8868\u3001\u4e8c\u53c9\u6811\uff08\u7ea2\u9ed1\u6811\uff09\uff0c\u6216\u662f\u5b83\u4eec\u7684\u7ec4\u5408\u3002</p> <p>\u6700\u7b80\u5355\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u4ec5\u7528\u4e00\u4e2a\u300c\u6570\u7ec4\u300d\u6765\u5b9e\u73b0\u54c8\u5e0c\u8868\u3002\u9996\u5148\uff0c\u5c06\u6240\u6709 value \u653e\u5165\u6570\u7ec4\u4e2d\uff0c\u90a3\u4e48\u6bcf\u4e2a value \u5728\u6570\u7ec4\u4e2d\u90fd\u6709\u552f\u4e00\u7684\u300c\u7d22\u5f15\u300d\u3002\u663e\u7136\uff0c\u8bbf\u95ee value \u9700\u8981\u7ed9\u5b9a\u7d22\u5f15\uff0c\u800c\u4e3a\u4e86 \u5efa\u7acb key \u548c\u7d22\u5f15\u4e4b\u95f4\u7684\u6620\u5c04\u5173\u7cfb\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u300c\u54c8\u5e0c\u51fd\u6570 Hash Function\u300d\u3002</p> <p>\u8bbe\u6570\u7ec4\u4e3a <code>bucket</code> \uff0c\u54c8\u5e0c\u51fd\u6570\u4e3a <code>f(x)</code> \uff0c\u8f93\u5165\u952e\u4e3a <code>key</code> \u3002\u90a3\u4e48\u83b7\u53d6 value \u7684\u6b65\u9aa4\u4e3a\uff1a</p> <ol> <li>\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u51fa\u7d22\u5f15\uff0c\u5373 <code>index = f(key)</code> \uff1b</li> <li>\u901a\u8fc7\u7d22\u5f15\u5728\u6570\u7ec4\u4e2d\u83b7\u53d6\u503c\uff0c\u5373 <code>value = bucket[index]</code> \uff1b</li> </ol> <p>\u4ee5\u4e0a\u8ff0\u5b66\u751f\u6570\u636e <code>key \u5b66\u53f7 -&gt; value \u59d3\u540d</code> \u4e3a\u4f8b\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u300c\u54c8\u5e0c\u51fd\u6570\u300d\u8bbe\u8ba1\u4e3a</p> \\[ f(x) = x \\% 100 \\] <p></p> <p> Fig. \u54c8\u5e0c\u51fd\u6570 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_hash_map.java<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry {\npublic int key;\npublic String val;\npublic Entry(int key, String val) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate List&lt;Entry&gt; bucket;\npublic ArrayHashMap() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; 100; i++) {\nbucket.add(null);\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate int hashFunc(int key) {\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic String get(int key) {\nint index = hashFunc(key);\nEntry pair = bucket.get(index);\nif (pair == null) return null;\nreturn pair.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic void put(int key, String val) {\nEntry pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket.set(index, pair);\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic void remove(int key) {\nint index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nbucket.set(index, null);\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic List&lt;Entry&gt; entrySet() {\nList&lt;Entry&gt; entrySet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nentrySet.add(pair);\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic List&lt;Integer&gt; keySet() {\nList&lt;Integer&gt; keySet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nkeySet.add(pair.key);\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic List&lt;String&gt; valueSet() {\nList&lt;String&gt; valueSet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nvalueSet.add(pair.val);\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic void print() {\nfor (Entry kv: entrySet()) {\nSystem.out.println(kv.key + \" -&gt; \" + kv.val);\n}\n}\n}\n</code></pre> array_hash_map.cpp<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nstruct Entry {\npublic:\nint key;\nstring val;\nEntry(int key, string val) {\nthis-&gt;key = key;\nthis-&gt;val = val;\n}\n};\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate:\nvector&lt;Entry*&gt; bucket;\npublic:\nArrayHashMap() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket= vector&lt;Entry*&gt;(100);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nint hashFunc(int key) {\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nstring get(int key) {\nint index = hashFunc(key);\nEntry* pair = bucket[index];\nif (pair == nullptr)\nreturn nullptr;\nreturn pair-&gt;val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nvoid put(int key, string val) {\nEntry* pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket[index] = pair;\n}\n/* \u5220\u9664\u64cd\u4f5c */\nvoid remove(int key) {\nint index = hashFunc(key);\n// \u7f6e\u4e3a nullptr \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = nullptr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nvector&lt;Entry*&gt; entrySet() {\nvector&lt;Entry*&gt; entrySet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr) {\nentrySet.push_back(pair);\n}\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nvector&lt;int&gt; keySet() {\nvector&lt;int&gt; keySet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr) {\nkeySet.push_back(pair-&gt;key);\n}\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nvector&lt;string&gt; valueSet() {\nvector&lt;string&gt; valueSet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr){\nvalueSet.push_back(pair-&gt;val);\n}\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nvoid print() {\nfor (Entry* kv: entrySet()) {\ncout &lt;&lt; kv-&gt;key &lt;&lt; \" -&gt; \" &lt;&lt; kv-&gt;val &lt;&lt; endl;\n}\n}\n};\n</code></pre> array_hash_map.py<pre><code>\"\"\" \u952e\u503c\u5bf9 int-&gt;String \"\"\"\nclass Entry:\ndef __init__(self, key, val):\nself.key = key\nself.val = val\n\"\"\" \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 \"\"\"\nclass ArrayHashMap:\ndef __init__(self):\n# \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nself.bucket = [None] * 100\n\"\"\" \u54c8\u5e0c\u51fd\u6570 \"\"\"\ndef hash_func(self, key):\nindex = key % 100\nreturn index\n\"\"\" \u67e5\u8be2\u64cd\u4f5c \"\"\"\ndef get(self, key):\nindex = self.hash_func(key)\npair = self.bucket[index]\nif pair is None:\nreturn None\nreturn pair.val\n\"\"\" \u6dfb\u52a0\u64cd\u4f5c \"\"\"\ndef put(self, key, val):\npair = Entry(key, val)\nindex = self.hash_func(key)\nself.bucket[index] = pair\n\"\"\" \u5220\u9664\u64cd\u4f5c \"\"\"\ndef remove(self, key):\nindex = self.hash_func(key)\n# \u7f6e\u4e3a None \uff0c\u4ee3\u8868\u5220\u9664\nself.bucket[index] = None\n\"\"\" \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 \"\"\"\ndef entry_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair)\nreturn result\n\"\"\" \u83b7\u53d6\u6240\u6709\u952e \"\"\"\ndef key_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair.key)\nreturn result\n\"\"\" \u83b7\u53d6\u6240\u6709\u503c \"\"\"\ndef value_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair.val)\nreturn result\n\"\"\" \u6253\u5370\u54c8\u5e0c\u8868 \"\"\"\ndef print(self):\nfor pair in self.bucket:\nif pair is not None:\nprint(pair.key, \"-&gt;\", pair.val)\n</code></pre> array_hash_map.go<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\ntype entry struct {\nkey int\nval string\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\ntype arrayHashMap struct {\nbucket []*entry\n}\n/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nfunc newArrayHashMap() *arrayHashMap {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket := make([]*entry, 100)\nreturn &amp;arrayHashMap{bucket: bucket}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nfunc (a *arrayHashMap) hashFunc(key int) int {\nindex := key % 100\nreturn index\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nfunc (a *arrayHashMap) get(key int) string {\nindex := a.hashFunc(key)\npair := a.bucket[index]\nif pair == nil {\nreturn \"Not Found\"\n}\nreturn pair.val\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nfunc (a *arrayHashMap) put(key int, val string) {\npair := &amp;entry{key: key, val: val}\nindex := a.hashFunc(key)\na.bucket[index] = pair\n}\n/* \u5220\u9664\u64cd\u4f5c */\nfunc (a *arrayHashMap) remove(key int) {\nindex := a.hashFunc(key)\n// \u7f6e\u4e3a nil \uff0c\u4ee3\u8868\u5220\u9664\na.bucket[index] = nil\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u5bf9 */\nfunc (a *arrayHashMap) entrySet() []*entry {\nvar pairs []*entry\nfor _, pair := range a.bucket {\nif pair != nil {\npairs = append(pairs, pair)\n}\n}\nreturn pairs\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nfunc (a *arrayHashMap) keySet() []int {\nvar keys []int\nfor _, pair := range a.bucket {\nif pair != nil {\nkeys = append(keys, pair.key)\n}\n}\nreturn keys\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nfunc (a *arrayHashMap) valueSet() []string {\nvar values []string\nfor _, pair := range a.bucket {\nif pair != nil {\nvalues = append(values, pair.val)\n}\n}\nreturn values\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nfunc (a *arrayHashMap) print() {\nfor _, pair := range a.bucket {\nif pair != nil {\nfmt.Println(pair.key, \"-&gt;\", pair.val)\n}\n}\n}\n</code></pre> array_hash_map.js<pre><code>/* \u952e\u503c\u5bf9 Number -&gt; String */\nclass Entry {\nconstructor(key, val) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\n#bucket;\nconstructor() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nthis.#bucket = new Array(100).fill(null);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\n#hashFunc(key) {\nreturn key % 100;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nget(key) {\nlet index = this.#hashFunc(key);\nlet entry = this.#bucket[index];\nif (entry === null) return null;\nreturn entry.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nset(key, val) {\nlet index = this.#hashFunc(key);\nthis.#bucket[index] = new Entry(key, val);\n}\n/* \u5220\u9664\u64cd\u4f5c */\ndelete(key) {\nlet index = this.#hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nthis.#bucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nentries() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nkeys() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]?.key);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nvalues() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]?.val);\n}\n}\nreturn arr;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nprint() {\nlet entrySet = this.entries();\nfor (const entry of entrySet) {\nif (!entry) continue;\nconsole.info(`${entry.key} -&gt; ${entry.val}`);\n}\n}\n}\n</code></pre> array_hash_map.ts<pre><code>/* \u952e\u503c\u5bf9 Number -&gt; String */\nclass Entry {\npublic key: number;\npublic val: string;\nconstructor(key: number, val: string) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate readonly bucket: (Entry | null)[];\nconstructor() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nthis.bucket = (new Array(100)).fill(null);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate hashFunc(key: number): number {\nreturn key % 100;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic get(key: number): string | null {\nlet index = this.hashFunc(key);\nlet entry = this.bucket[index];\nif (entry === null) return null;\nreturn entry.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic set(key: number, val: string) {\nlet index = this.hashFunc(key);\nthis.bucket[index] = new Entry(key, val);\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic delete(key: number) {\nlet index = this.hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nthis.bucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic entries(): (Entry | null)[] {\nlet arr: (Entry | null)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic keys(): (number | undefined)[] {\nlet arr: (number | undefined)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]?.key);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic values(): (string | undefined)[] {\nlet arr: (string | undefined)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]?.val);\n}\n}\nreturn arr;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic print() {\nlet entrySet = this.entries();\nfor (const entry of entrySet) {\nif (!entry) continue;\nconsole.info(`${entry.key} -&gt; ${entry.val}`);\n}\n}\n}\n</code></pre> array_hash_map.c<pre><code>[class]{entry}-[func]{}\n[class]{arrayHashMap}-[func]{}\n</code></pre> array_hash_map.cs<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry\n{\npublic int key;\npublic String val;\npublic Entry(int key, String val)\n{\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap\n{\nprivate List&lt;Entry?&gt; bucket;\npublic ArrayHashMap()\n{\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket = new();\nfor (int i = 0; i &lt; 100; i++)\n{\nbucket.Add(null);\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate int hashFunc(int key)\n{\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic String? get(int key)\n{\nint index = hashFunc(key);\nEntry? pair = bucket[index];\nif (pair == null) return null;\nreturn pair.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic void put(int key, String val)\n{\nEntry pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket[index] = pair;\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic void remove(int key)\n{\nint index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic List&lt;Entry&gt; entrySet()\n{\nList&lt;Entry&gt; entrySet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nentrySet.Add(pair);\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic List&lt;int&gt; keySet()\n{\nList&lt;int&gt; keySet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nkeySet.Add(pair.key);\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic List&lt;String&gt; valueSet()\n{\nList&lt;String&gt; valueSet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nvalueSet.Add(pair.val);\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic void print()\n{\nforeach (Entry kv in entrySet())\n{\nConsole.WriteLine(kv.key + \" -&gt; \" + kv.val);\n}\n}\n}\n</code></pre> array_hash_map.swift<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry {\nvar key: Int\nvar val: String\ninit(key: Int, val: String) {\nself.key = key\nself.val = val\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate var bucket: [Entry?] = []\ninit() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nfor _ in 0 ..&lt; 100 {\nbucket.append(nil)\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate func hashFunc(key: Int) -&gt; Int {\nlet index = key % 100\nreturn index\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nfunc get(key: Int) -&gt; String? {\nlet index = hashFunc(key: key)\nlet pair = bucket[index]\nreturn pair?.val\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nfunc put(key: Int, val: String) {\nlet pair = Entry(key: key, val: val)\nlet index = hashFunc(key: key)\nbucket[index] = pair\n}\n/* \u5220\u9664\u64cd\u4f5c */\nfunc remove(key: Int) {\nlet index = hashFunc(key: key)\n// \u7f6e\u4e3a nil \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = nil\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nfunc entrySet() -&gt; [Entry] {\nvar entrySet: [Entry] = []\nfor pair in bucket {\nif let pair = pair {\nentrySet.append(pair)\n}\n}\nreturn entrySet\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nfunc keySet() -&gt; [Int] {\nvar keySet: [Int] = []\nfor pair in bucket {\nif let pair = pair {\nkeySet.append(pair.key)\n}\n}\nreturn keySet\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nfunc valueSet() -&gt; [String] {\nvar valueSet: [String] = []\nfor pair in bucket {\nif let pair = pair {\nvalueSet.append(pair.val)\n}\n}\nreturn valueSet\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nfunc print() {\nfor entry in entrySet() {\nSwift.print(\"\\(entry.key) -&gt; \\(entry.val)\")\n}\n}\n}\n</code></pre> array_hash_map.zig<pre><code>// \u952e\u503c\u5bf9 int-&gt;String\nconst Entry = struct {\nkey: usize = undefined,\nval: []const u8 = undefined,\npub fn init(key: usize, val: []const u8) Entry {\nreturn Entry {\n.key = key,\n.val = val,\n};\n}\n};\n// \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868\nfn ArrayHashMap(comptime T: type) type {\nreturn struct {\nbucket: ?std.ArrayList(?T) = null,\nmem_allocator: std.mem.Allocator = undefined,\nconst Self = @This();\n// \u6784\u9020\u65b9\u6cd5\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nself.mem_allocator = allocator;\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nself.bucket = std.ArrayList(?T).init(self.mem_allocator);\nvar i: i32 = 0;\nwhile (i &lt; 100) : (i += 1) {\ntry self.bucket.?.append(null);\n}\n}\n// \u6790\u6784\u65b9\u6cd5\npub fn deinit(self: *Self) void {\nif (self.bucket != null) self.bucket.?.deinit();\n}\n// \u54c8\u5e0c\u51fd\u6570\nfn hashFunc(key: usize) usize {\nvar index = key % 100;\nreturn index;\n}\n// \u67e5\u8be2\u64cd\u4f5c\npub fn get(self: *Self, key: usize) []const u8 {\nvar index = hashFunc(key);\nvar pair = self.bucket.?.items[index];\nreturn pair.?.val;\n}\n// \u6dfb\u52a0\u64cd\u4f5c\npub fn put(self: *Self, key: usize, val: []const u8) !void {\nvar pair = Entry.init(key, val);\nvar index = hashFunc(key);\nself.bucket.?.items[index] = pair;\n}\n// \u5220\u9664\u64cd\u4f5c\npub fn remove(self: *Self, key: usize) !void {\nvar index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nself.bucket.?.items[index] = null;\n}       // \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9\npub fn entrySet(self: *Self) !*std.ArrayList(T) {\nvar entry_set = std.ArrayList(T).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry entry_set.append(item.?);\n}\nreturn &amp;entry_set;\n}  // \u83b7\u53d6\u6240\u6709\u952e\npub fn keySet(self: *Self) !*std.ArrayList(usize) {\nvar key_set = std.ArrayList(usize).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry key_set.append(item.?.key);\n}\nreturn &amp;key_set;\n}  // \u83b7\u53d6\u6240\u6709\u503c\npub fn valueSet(self: *Self) !*std.ArrayList([]const u8) {\nvar value_set = std.ArrayList([]const u8).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry value_set.append(item.?.val);\n}\nreturn &amp;value_set;\n}\n// \u6253\u5370\u54c8\u5e0c\u8868\npub fn print(self: *Self) !void {\nvar entry_set = try self.entrySet();\ndefer entry_set.deinit();\nfor (entry_set.items) |item| {\nstd.debug.print(\"{} -&gt; {s}\\n\", .{item.key, item.val});\n}\n}\n};\n}\n</code></pre>"},{"location":"chapter_hashing/hash_map/#614","title":"6.1.4. \u54c8\u5e0c\u51b2\u7a81","text":"<p>\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u4f1a\u53d1\u73b0\uff0c\u54c8\u5e0c\u51fd\u6570 \\(f(x) = x \\% 100\\) \u4f1a\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u5931\u6548\u3002\u5177\u4f53\u5730\uff0c\u5f53\u8f93\u5165\u7684 key \u540e\u4e24\u4f4d\u76f8\u540c\u65f6\uff0c\u54c8\u5e0c\u51fd\u6570\u7684\u8ba1\u7b97\u7ed3\u679c\u4e5f\u76f8\u540c\uff0c\u6307\u5411\u540c\u4e00\u4e2a value \u3002\u4f8b\u5982\uff0c\u5206\u522b\u67e5\u8be2\u4e24\u4e2a\u5b66\u53f7 \\(12836\\) \u548c \\(20336\\) \uff0c\u5219\u6709</p> \\[ f(12836) = f(20336) = 36 \\] <p>\u4e24\u4e2a\u5b66\u53f7\u6307\u5411\u4e86\u540c\u4e00\u4e2a\u59d3\u540d\uff0c\u8fd9\u660e\u663e\u662f\u4e0d\u5bf9\u7684\uff0c\u6211\u4eec\u5c06\u8fd9\u79cd\u73b0\u8c61\u79f0\u4e3a\u300c\u54c8\u5e0c\u51b2\u7a81 Hash Collision\u300d\u3002\u5982\u4f55\u907f\u514d\u54c8\u5e0c\u51b2\u7a81\u7684\u95ee\u9898\u5c06\u88ab\u7559\u5728\u4e0b\u7ae0\u8ba8\u8bba\u3002</p> <p></p> <p> Fig. \u54c8\u5e0c\u51b2\u7a81 </p> <p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u4e00\u4e2a\u4f18\u79c0\u7684\u300c\u54c8\u5e0c\u51fd\u6570\u300d\u5e94\u8be5\u5177\u5907\u4ee5\u4e0b\u7279\u6027\uff1a</p> <ul> <li>\u5c3d\u91cf\u5c11\u5730\u53d1\u751f\u54c8\u5e0c\u51b2\u7a81\uff1b</li> <li>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff0c\u8ba1\u7b97\u5c3d\u53ef\u80fd\u9ad8\u6548\uff1b</li> <li>\u7a7a\u95f4\u4f7f\u7528\u7387\u9ad8\uff0c\u5373\u201c\u952e\u503c\u5bf9\u5360\u7528\u7a7a\u95f4 / \u54c8\u5e0c\u8868\u603b\u5360\u7528\u7a7a\u95f4\u201d\u5c3d\u53ef\u80fd\u5927\uff1b</li> </ul>"},{"location":"chapter_hashing/summary/","title":"6.3. \u5c0f\u7ed3","text":""},{"location":"chapter_heap/heap/","title":"8.1. \u5806","text":"<p>\u300c\u5806 Heap\u300d\u662f\u4e00\u68f5\u9650\u5b9a\u6761\u4ef6\u4e0b\u7684\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u3002\u6839\u636e\u6210\u7acb\u6761\u4ef6\uff0c\u5806\u4e3b\u8981\u5206\u4e3a\u4e24\u79cd\u7c7b\u578b\uff1a</p> <ul> <li>\u300c\u5927\u9876\u5806 Max Heap\u300d\uff0c\u4efb\u610f\u7ed3\u70b9\u7684\u503c \\(\\geq\\) \u5176\u5b50\u7ed3\u70b9\u7684\u503c\uff1b</li> <li>\u300c\u5c0f\u9876\u5806 Min Heap\u300d\uff0c\u4efb\u610f\u7ed3\u70b9\u7684\u503c \\(\\leq\\) \u5176\u5b50\u7ed3\u70b9\u7684\u503c\uff1b</li> </ul> <p></p>"},{"location":"chapter_heap/heap/#811","title":"8.1.1. \u5806\u672f\u8bed\u4e0e\u6027\u8d28","text":"<ul> <li>\u7531\u4e8e\u5806\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u56e0\u6b64\u6700\u5e95\u5c42\u7ed3\u70b9\u9760\u5de6\u586b\u5145\uff0c\u5176\u5b83\u5c42\u7ed3\u70b9\u7686\u88ab\u586b\u6ee1\u3002</li> <li>\u4e8c\u53c9\u6811\u4e2d\u7684\u6839\u7ed3\u70b9\u5bf9\u5e94\u300c\u5806\u9876\u300d\uff0c\u5e95\u5c42\u6700\u9760\u53f3\u7ed3\u70b9\u5bf9\u5e94\u300c\u5806\u5e95\u300d\u3002</li> <li>\u5bf9\u4e8e\u5927\u9876\u5806 / \u5c0f\u9876\u5806\uff0c\u5176\u5806\u9876\u5143\u7d20\uff08\u5373\u6839\u7ed3\u70b9\uff09\u7684\u503c\u6700\u5927 / \u6700\u5c0f\u3002</li> </ul>"},{"location":"chapter_heap/heap/#812","title":"8.1.2. \u5806\u5e38\u7528\u64cd\u4f5c","text":"<p>\u503c\u5f97\u8bf4\u660e\u7684\u662f\uff0c\u591a\u6570\u7f16\u7a0b\u8bed\u8a00\u63d0\u4f9b\u7684\u662f\u300c\u4f18\u5148\u961f\u5217 Priority Queue\u300d\uff0c\u5176\u662f\u4e00\u79cd\u62bd\u8c61\u6570\u636e\u7ed3\u6784\uff0c\u5b9a\u4e49\u4e3a\u5177\u6709\u51fa\u961f\u4f18\u5148\u7ea7\u7684\u961f\u5217\u3002</p> <p>\u800c\u6070\u597d\uff0c\u5806\u7684\u5b9a\u4e49\u4e0e\u4f18\u5148\u961f\u5217\u7684\u64cd\u4f5c\u903b\u8f91\u5b8c\u5168\u543b\u5408\uff0c\u5927\u9876\u5806\u5c31\u662f\u4e00\u4e2a\u5143\u7d20\u4ece\u5927\u5230\u5c0f\u51fa\u961f\u7684\u4f18\u5148\u961f\u5217\u3002\u4ece\u4f7f\u7528\u89d2\u5ea6\u770b\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u300c\u4f18\u5148\u961f\u5217\u300d\u548c\u300c\u5806\u300d\u7406\u89e3\u4e3a\u7b49\u4ef7\u7684\u6570\u636e\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u672c\u6587\u4e0e\u4ee3\u7801\u5bf9\u4e24\u8005\u4e0d\u505a\u7279\u522b\u533a\u5206\uff0c\u7edf\u4e00\u4f7f\u7528\u300c\u5806\u300d\u6765\u547d\u540d\u3002</p> <p>\u5806\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff08\u65b9\u6cd5\u547d\u540d\u4ee5 Java \u4e3a\u4f8b\uff09\u3002</p> <p> Table. \u5806\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5 \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 add() \u5143\u7d20\u5165\u5806 \\(O(\\log n)\\) poll() \u5806\u9876\u5143\u7d20\u51fa\u5806 \\(O(\\log n)\\) peek() \u8bbf\u95ee\u5806\u9876\u5143\u7d20\uff08\u5927 / \u5c0f\u9876\u5806\u5206\u522b\u4e3a\u6700\u5927 / \u5c0f\u503c\uff09 \\(O(1)\\) size() \u83b7\u53d6\u5806\u7684\u5143\u7d20\u6570\u91cf \\(O(1)\\) isEmpty() \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u63d0\u4f9b\u7684\u5806\u7c7b\uff08\u6216\u4f18\u5148\u961f\u5217\u7c7b\uff09\u3002</p> <p>Tip</p> <p>\u7c7b\u4f3c\u4e8e\u6392\u5e8f\u4e2d\u201c\u4ece\u5c0f\u5230\u5927\u6392\u5217\u201d\u548c\u201c\u4ece\u5927\u5230\u5c0f\u6392\u5217\u201d\uff0c\u201c\u5927\u9876\u5806\u201d\u548c\u201c\u5c0f\u9876\u5806\u201d\u53ef\u4ec5\u901a\u8fc7\u4fee\u6539 Comparator \u6765\u4e92\u76f8\u8f6c\u6362\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig heap.java<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\nQueue&lt;Integer&gt; minHeap = new PriorityQueue&lt;&gt;();\n// \u521d\u59cb\u5316\u5927\u9876\u5806\uff08\u4f7f\u7528 lambda \u8868\u8fbe\u5f0f\u4fee\u6539 Comparator \u5373\u53ef\uff09\nQueue&lt;Integer&gt; maxHeap = new PriorityQueue&lt;&gt;((a, b) -&gt; { return b - a; });\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.add(1);\nmaxHeap.add(3);\nmaxHeap.add(2);\nmaxHeap.add(5);\nmaxHeap.add(4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.peek(); // 5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\npeek = heap.poll();  // 5\npeek = heap.poll();  // 4\npeek = heap.poll();  // 3\npeek = heap.poll();  // 2\npeek = heap.poll();  // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.size();\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = maxHeap.isEmpty();\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nminHeap = new PriorityQueue&lt;&gt;(Arrays.asList(1, 3, 2, 5, 4));\n</code></pre> heap.cpp<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\npriority_queue&lt;int, vector&lt;int&gt;, greater&lt;int&gt;&gt; minHeap;\n// \u521d\u59cb\u5316\u5927\u9876\u5806\npriority_queue&lt;int, vector&lt;int&gt;, less&lt;int&gt;&gt; maxHeap;\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.push(1);\nmaxHeap.push(3);\nmaxHeap.push(2);\nmaxHeap.push(5);\nmaxHeap.push(4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.top(); // 5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\nmaxHeap.pop(); // 5\nmaxHeap.pop(); // 4\nmaxHeap.pop(); // 3\nmaxHeap.pop(); // 2\nmaxHeap.pop(); // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.size();\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = maxHeap.empty();\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nvector&lt;int&gt; input{1, 3, 2, 5, 4};\npriority_queue&lt;int, vector&lt;int&gt;, greater&lt;int&gt;&gt; minHeap(input.begin(), input.end());\n</code></pre> heap.py<pre><code>\n</code></pre> heap.go<pre><code>// Go \u8bed\u8a00\u4e2d\u53ef\u4ee5\u901a\u8fc7\u5b9e\u73b0 heap.Interface \u6765\u6784\u5efa\u6574\u6570\u5927\u9876\u5806\n// \u5b9e\u73b0 heap.Interface \u9700\u8981\u540c\u65f6\u5b9e\u73b0 sort.Interface\ntype intHeap []any\n// Push heap.Interface \u7684\u65b9\u6cd5\uff0c\u5b9e\u73b0\u63a8\u5165\u5143\u7d20\u5230\u5806\nfunc (h *intHeap) Push(x any) {\n// Push \u548c Pop \u4f7f\u7528 pointer receiver \u4f5c\u4e3a\u53c2\u6570\n// \u56e0\u4e3a\u5b83\u4eec\u4e0d\u4ec5\u4f1a\u5bf9\u5207\u7247\u7684\u5185\u5bb9\u8fdb\u884c\u8c03\u6574\uff0c\u8fd8\u4f1a\u4fee\u6539\u5207\u7247\u7684\u957f\u5ea6\u3002\n*h = append(*h, x.(int))\n}\n// Pop heap.Interface \u7684\u65b9\u6cd5\uff0c\u5b9e\u73b0\u5f39\u51fa\u5806\u9876\u5143\u7d20\nfunc (h *intHeap) Pop() any {\n// \u5f85\u51fa\u5806\u5143\u7d20\u5b58\u653e\u5728\u6700\u540e\nlast := (*h)[len(*h)-1]\n*h = (*h)[:len(*h)-1]\nreturn last\n}\n// Len sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Len() int {\nreturn len(*h)\n}\n// Less sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Less(i, j int) bool {\n// \u5982\u679c\u5b9e\u73b0\u5c0f\u9876\u5806\uff0c\u5219\u9700\u8981\u8c03\u6574\u4e3a\u5c0f\u4e8e\u53f7\nreturn (*h)[i].(int) &gt; (*h)[j].(int)\n}\n// Swap sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Swap(i, j int) {\n(*h)[i], (*h)[j] = (*h)[j], (*h)[i]\n}\n// Top \u83b7\u53d6\u5806\u9876\u5143\u7d20\nfunc (h *intHeap) Top() any {\nreturn (*h)[0]\n}\n/* Driver Code */\nfunc TestHeap(t *testing.T) {\n/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5927\u9876\u5806\nmaxHeap := &amp;intHeap{}\nheap.Init(maxHeap)\n/* \u5143\u7d20\u5165\u5806 */\n// \u8c03\u7528 heap.Interface \u7684\u65b9\u6cd5\uff0c\u6765\u6dfb\u52a0\u5143\u7d20\nheap.Push(maxHeap, 1)\nheap.Push(maxHeap, 3)\nheap.Push(maxHeap, 2)\nheap.Push(maxHeap, 4)\nheap.Push(maxHeap, 5)\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\ntop := maxHeap.Top()\nfmt.Printf(\"\u5806\u9876\u5143\u7d20\u4e3a %d\\n\", top)\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u8c03\u7528 heap.Interface \u7684\u65b9\u6cd5\uff0c\u6765\u79fb\u9664\u5143\u7d20\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nsize := len(*maxHeap)\nfmt.Printf(\"\u5806\u5143\u7d20\u6570\u91cf\u4e3a %d\\n\", size)\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nisEmpty := len(*maxHeap) == 0\nfmt.Printf(\"\u5806\u662f\u5426\u4e3a\u7a7a %t\\n\", isEmpty)\n}\n</code></pre> heap.js<pre><code>// JavaScript \u672a\u63d0\u4f9b\u5185\u7f6e heap \u7c7b\n</code></pre> heap.ts<pre><code>// TypeScript \u672a\u63d0\u4f9b\u5185\u7f6e\u5806 Heap \u7c7b\n</code></pre> heap.c<pre><code>\n</code></pre> heap.cs<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\nPriorityQueue&lt;int, int&gt; minHeap = new PriorityQueue&lt;int, int&gt;();\n// \u521d\u59cb\u5316\u5927\u9876\u5806\uff08\u4f7f\u7528 lambda \u8868\u8fbe\u5f0f\u4fee\u6539 Comparator \u5373\u53ef\uff09\nPriorityQueue&lt;int, int&gt; maxHeap = new PriorityQueue&lt;int, int&gt;(Comparer&lt;int&gt;.Create((x, y) =&gt; y - x));\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.Enqueue(1, 1);\nmaxHeap.Enqueue(3, 3);\nmaxHeap.Enqueue(2, 2);\nmaxHeap.Enqueue(5, 5);\nmaxHeap.Enqueue(4, 4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.Peek();//5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\npeek = maxHeap.Dequeue();  // 5\npeek = maxHeap.Dequeue();  // 4\npeek = maxHeap.Dequeue();  // 3\npeek = maxHeap.Dequeue();  // 2\npeek = maxHeap.Dequeue();  // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.Count;\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = maxHeap.Count == 0;\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nminHeap = new PriorityQueue&lt;int, int&gt;(new List&lt;(int, int)&gt; { (1, 1), (3, 3), (2, 2), (5, 5), (4, 4), });\n</code></pre> heap.swift<pre><code>// Swift \u672a\u63d0\u4f9b\u5185\u7f6e heap \u7c7b\n</code></pre> heap.zig<pre><code>\n</code></pre>"},{"location":"chapter_heap/heap/#813","title":"8.1.3. \u5806\u7684\u5b9e\u73b0","text":"<p>\u4e0b\u6587\u5b9e\u73b0\u7684\u662f\u300c\u5927\u9876\u5806\u300d\uff0c\u82e5\u60f3\u8f6c\u6362\u4e3a\u300c\u5c0f\u9876\u5806\u300d\uff0c\u5c06\u6240\u6709\u5927\u5c0f\u903b\u8f91\u5224\u65ad\u53d6\u9006\uff08\u4f8b\u5982\u5c06 \\(\\geq\\) \u66ff\u6362\u4e3a \\(\\leq\\) \uff09\u5373\u53ef\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u81ea\u884c\u5b9e\u73b0\u3002</p>"},{"location":"chapter_heap/heap/#_1","title":"\u5806\u7684\u5b58\u50a8\u4e0e\u8868\u793a","text":"<p>\u5728\u4e8c\u53c9\u6811\u7ae0\u8282\u6211\u4eec\u5b66\u8fc7\uff0c\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u975e\u5e38\u9002\u5408\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u6765\u8868\u793a\uff0c\u800c\u5806\u6070\u597d\u662f\u4e00\u68f5\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u56e0\u800c\u6211\u4eec\u91c7\u7528\u300c\u6570\u7ec4\u300d\u6765\u5b58\u50a8\u300c\u5806\u300d\u3002</p> <p>\u4e8c\u53c9\u6811\u6307\u9488\u3002\u4f7f\u7528\u6570\u7ec4\u8868\u793a\u4e8c\u53c9\u6811\u65f6\uff0c\u5143\u7d20\u4ee3\u8868\u7ed3\u70b9\u503c\uff0c\u7d22\u5f15\u4ee3\u8868\u7ed3\u70b9\u5728\u4e8c\u53c9\u6811\u4e2d\u7684\u4f4d\u7f6e\uff0c\u800c\u7ed3\u70b9\u6307\u9488\u901a\u8fc7\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u6765\u5b9e\u73b0\u3002</p> <p>\u5177\u4f53\u5730\uff0c\u7ed9\u5b9a\u7d22\u5f15 \\(i\\) \uff0c\u90a3\u4e48\u5176\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 1\\) \u3001\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 2\\) \u3001\u7236\u7ed3\u70b9\u7d22\u5f15\u4e3a \\((i - 1) / 2\\) \uff08\u5411\u4e0b\u6574\u9664\uff09\u3002\u5f53\u7d22\u5f15\u8d8a\u754c\u65f6\uff0c\u4ee3\u8868\u7a7a\u7ed3\u70b9\u6216\u7ed3\u70b9\u4e0d\u5b58\u5728\u3002</p> <p></p> <p>\u6211\u4eec\u5c06\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u5c01\u88c5\u6210\u51fd\u6570\uff0c\u4ee5\u4fbf\u540e\u7eed\u4f7f\u7528\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i) {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i) {\nreturn (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.cpp<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i) {\nreturn 2 * i + 2;\n} /* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i) {\nreturn (i - 1) / 2; // \u5411\u4e0b\u53d6\u6574\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) left(i int) int {\nreturn 2*i + 1\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) right(i int) int {\nreturn 2*i + 2\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) parent(i int) int {\n// \u5411\u4e0b\u6574\u9664\nreturn (i - 1) / 2\n}\n</code></pre> my_heap.js<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\n#left(i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\n#right(i) {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\n#parent(i) {\nreturn Math.floor((i - 1) / 2); // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.ts<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nleft(i: number): number {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nright(i: number): number {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nparent(i: number): number {\nreturn Math.floor((i - 1) / 2); // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{left}\n[class]{maxHeap}-[func]{right}\n[class]{maxHeap}-[func]{parent}\n</code></pre> my_heap.cs<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i)\n{\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i)\n{\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i)\n{\nreturn (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.swift<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc left(i: Int) -&gt; Int {\n2 * i + 1\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc right(i: Int) -&gt; Int {\n2 * i + 2\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nfunc parent(i: Int) -&gt; Int {\n(i - 1) / 2 // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.zig<pre><code>// \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\nfn left(i: usize) usize {\nreturn 2 * i + 1;\n}\n// \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\nfn right(i: usize) usize {\nreturn 2 * i + 2;\n}\n// \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15\nfn parent(i: usize) usize {\n// return (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\nreturn @divFloor(i - 1, 2);\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_2","title":"\u8bbf\u95ee\u5806\u9876\u5143\u7d20","text":"<p>\u5806\u9876\u5143\u7d20\u662f\u4e8c\u53c9\u6811\u7684\u6839\u7ed3\u70b9\uff0c\u5373\u5217\u8868\u9996\u5143\u7d20\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek() {\nreturn maxHeap.get(0);\n}\n</code></pre> my_heap.cpp<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek() {\nreturn maxHeap[0];\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nfunc (h *maxHeap) peek() any {\nreturn h.data[0]\n}\n</code></pre> my_heap.js<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\npeek() {\nreturn this.#maxHeap[0];\n}\n</code></pre> my_heap.ts<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\npeek(): number {\nreturn this.maxHeap[0];\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{peek}\n</code></pre> my_heap.cs<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek()\n{\nreturn maxHeap[0];\n}\n</code></pre> my_heap.swift<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nmaxHeap[0]\n}\n</code></pre> my_heap.zig<pre><code>// \u8bbf\u95ee\u5806\u9876\u5143\u7d20\nfn peek(self: *Self) T {\nreturn self.maxHeap.?.items[0];\n}  </code></pre>"},{"location":"chapter_heap/heap/#_3","title":"\u5143\u7d20\u5165\u5806","text":"<p>\u7ed9\u5b9a\u5143\u7d20 <code>val</code> \uff0c\u6211\u4eec\u5148\u5c06\u5176\u6dfb\u52a0\u5230\u5806\u5e95\u3002\u6dfb\u52a0\u540e\uff0c\u7531\u4e8e <code>val</code> \u53ef\u80fd\u5927\u4e8e\u5806\u4e2d\u5176\u5b83\u5143\u7d20\uff0c\u6b64\u65f6\u5806\u7684\u6210\u7acb\u6761\u4ef6\u53ef\u80fd\u5df2\u7ecf\u88ab\u7834\u574f\uff0c\u56e0\u6b64\u9700\u8981\u4fee\u590d\u4ece\u63d2\u5165\u7ed3\u70b9\u5230\u6839\u7ed3\u70b9\u8fd9\u6761\u8def\u5f84\u4e0a\u7684\u5404\u4e2a\u7ed3\u70b9\uff0c\u8be5\u64cd\u4f5c\u88ab\u79f0\u4e3a\u300c\u5806\u5316 Heapify\u300d\u3002</p> <p>\u8003\u8651\u4ece\u5165\u5806\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u6267\u884c\u5806\u5316\u3002\u5177\u4f53\u5730\uff0c\u6bd4\u8f83\u63d2\u5165\u7ed3\u70b9\u4e0e\u5176\u7236\u7ed3\u70b9\u7684\u503c\uff0c\u82e5\u63d2\u5165\u7ed3\u70b9\u66f4\u5927\u5219\u5c06\u5b83\u4eec\u4ea4\u6362\uff1b\u5e76\u5faa\u73af\u4ee5\u4e0a\u64cd\u4f5c\uff0c\u4ece\u5e95\u81f3\u9876\u5730\u4fee\u590d\u5806\u4e2d\u7684\u5404\u4e2a\u7ed3\u70b9\uff1b\u76f4\u81f3\u8d8a\u8fc7\u6839\u7ed3\u70b9\u65f6\u7ed3\u675f\uff0c\u6216\u5f53\u9047\u5230\u65e0\u9700\u4ea4\u6362\u7684\u7ed3\u70b9\u65f6\u63d0\u524d\u7ed3\u675f\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u8bbe\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u6811\u7684\u9ad8\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u6613\u5f97\u5806\u5316\u64cd\u4f5c\u7684\u5faa\u73af\u8f6e\u6570\u6700\u591a\u4e3a \\(O(\\log n)\\) \uff0c\u56e0\u800c\u5143\u7d20\u5165\u5806\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.add(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p = parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap.get(i) &lt;= maxHeap.get(p))\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.push_back(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p =  parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap[i] &lt;= maxHeap[p])\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(maxHeap[i], maxHeap[p]);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u5143\u7d20\u5165\u5806 */\nfunc (h *maxHeap) push(val any) {\n// \u6dfb\u52a0\u7ed3\u70b9\nh.data = append(h.data, val)\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nh.siftUp(len(h.data) - 1)\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nfunc (h *maxHeap) siftUp(i int) {\nfor true {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\np := h.parent(i)\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif p &lt; 0 || h.data[i].(int) &lt;= h.data[p].(int) {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nh.swap(i, p)\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p\n}\n}\n</code></pre> my_heap.js<pre><code>/* \u5143\u7d20\u5165\u5806 */\npush(val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nthis.#maxHeap.push(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nthis.#siftUp(this.size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\n#siftUp(i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nconst p = this.#parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || this.#maxHeap[i] &lt;= this.#maxHeap[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.#swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u5143\u7d20\u5165\u5806 */\npush(val: number): void {\n// \u6dfb\u52a0\u7ed3\u70b9\nthis.maxHeap.push(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nthis.siftUp(this.size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nsiftUp(i: number): void {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nconst p = this.parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || this.maxHeap[i] &lt;= this.maxHeap[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{push}\n[class]{maxHeap}-[func]{siftUp}\n</code></pre> my_heap.cs<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val)\n{\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.Add(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i)\n{\nwhile (true)\n{\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p = parent(i);\n// \u82e5\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\uff0c\u5219\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap[i] &lt;= maxHeap[p])\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u5143\u7d20\u5165\u5806 */\nfunc push(val: Int) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.append(val)\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(i: size() - 1)\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nfunc siftUp(i: Int) {\nvar i = i\nwhile true {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nlet p = parent(i: i)\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif p &lt; 0 || maxHeap[i] &lt;= maxHeap[p] {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i: i, j: p)\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u5143\u7d20\u5165\u5806\nfn push(self: *Self, val: T) !void {\n// \u6dfb\u52a0\u7ed3\u70b9\ntry self.maxHeap.?.append(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\ntry self.siftUp(self.size() - 1);\n}  // \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316\nfn siftUp(self: *Self, i_: usize) !void {\nvar i = i_;\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nvar p = parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 or self.maxHeap.?.items[i] &lt;= self.maxHeap.?.items[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\ntry self.swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_4","title":"\u5806\u9876\u5143\u7d20\u51fa\u5806","text":"<p>\u5806\u9876\u5143\u7d20\u662f\u4e8c\u53c9\u6811\u6839\u7ed3\u70b9\uff0c\u5373\u5217\u8868\u9996\u5143\u7d20\uff0c\u5982\u679c\u6211\u4eec\u76f4\u63a5\u5c06\u9996\u5143\u7d20\u4ece\u5217\u8868\u4e2d\u5220\u9664\uff0c\u5219\u4e8c\u53c9\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u90fd\u4f1a\u968f\u4e4b\u53d1\u751f\u79fb\u4f4d\uff08\u7d22\u5f15\u53d1\u751f\u53d8\u5316\uff09\uff0c\u8fd9\u6837\u540e\u7eed\u4f7f\u7528\u5806\u5316\u4fee\u590d\u5c31\u5f88\u9ebb\u70e6\u4e86\u3002\u4e3a\u4e86\u5c3d\u91cf\u51cf\u5c11\u5143\u7d20\u7d22\u5f15\u53d8\u52a8\uff0c\u91c7\u53d6\u4ee5\u4e0b\u64cd\u4f5c\u6b65\u9aa4\uff1a</p> <ol> <li>\u4ea4\u6362\u5806\u9876\u5143\u7d20\u4e0e\u5806\u5e95\u5143\u7d20\uff08\u5373\u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff09\uff1b</li> <li>\u4ea4\u6362\u5b8c\u6210\u540e\uff0c\u5c06\u5806\u5e95\u4ece\u5217\u8868\u4e2d\u5220\u9664\uff08\u6ce8\u610f\uff0c\u56e0\u4e3a\u5df2\u7ecf\u4ea4\u6362\uff0c\u5b9e\u9645\u4e0a\u5220\u9664\u7684\u662f\u539f\u6765\u7684\u5806\u9876\u5143\u7d20\uff09\uff1b</li> <li>\u4ece\u6839\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u6267\u884c\u5806\u5316\uff1b</li> </ol> <p>\u987e\u540d\u601d\u4e49\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316\u7684\u64cd\u4f5c\u65b9\u5411\u4e0e\u4ece\u5e95\u81f3\u9876\u5806\u5316\u76f8\u53cd\uff0c\u6211\u4eec\u6bd4\u8f83\u6839\u7ed3\u70b9\u7684\u503c\u4e0e\u5176\u4e24\u4e2a\u5b50\u7ed3\u70b9\u7684\u503c\uff0c\u5c06\u6700\u5927\u7684\u5b50\u7ed3\u70b9\u4e0e\u6839\u7ed3\u70b9\u6267\u884c\u4ea4\u6362\uff0c\u5e76\u5faa\u73af\u4ee5\u4e0a\u64cd\u4f5c\uff0c\u76f4\u5230\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u65f6\u7ed3\u675f\uff0c\u6216\u5f53\u9047\u5230\u65e0\u9700\u4ea4\u6362\u7684\u7ed3\u70b9\u65f6\u63d0\u524d\u7ed3\u675f\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4e0e\u5143\u7d20\u5165\u5806\u64cd\u4f5c\u7c7b\u4f3c\uff0c\u5806\u9876\u5143\u7d20\u51fa\u5806\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nint poll() {\n// \u5224\u7a7a\u5904\u7406\nif (isEmpty())\nthrow new EmptyStackException();\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(0, size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nint val = maxHeap.remove(size() - 1);\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\nif (l &lt; size() &amp;&amp; maxHeap.get(l) &gt; maxHeap.get(ma))\nma = l;\nif (r &lt; size() &amp;&amp; maxHeap.get(r) &gt; maxHeap.get(ma))\nma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nvoid poll() {\n// \u5224\u7a7a\u5904\u7406\nif (empty()) {\nthrow out_of_range(\"\u5806\u4e3a\u7a7a\");\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(maxHeap[0], maxHeap[size() - 1]);\n// \u5220\u9664\u7ed3\u70b9\nmaxHeap.pop_back();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (l &lt; size() &amp;&amp; maxHeap[l] &gt; maxHeap[ma]) ma = l;\nif (r &lt; size() &amp;&amp; maxHeap[r] &gt; maxHeap[ma])\nma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\nswap(maxHeap[i], maxHeap[ma]);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nfunc (h *maxHeap) poll() any {\n// \u5224\u7a7a\u5904\u7406\nif h.isEmpty() {\nfmt.Println(\"error\")\nreturn nil\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nh.swap(0, h.size()-1)\n// \u5220\u9664\u7ed3\u70b9\nval := h.data[len(h.data)-1]\nh.data = h.data[:len(h.data)-1]\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nh.siftDown(0)\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nfunc (h *maxHeap) siftDown(i int) {\nfor true {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a max\nl, r, max := h.left(i), h.right(i), i\nif l &lt; h.size() &amp;&amp; h.data[l].(int) &gt; h.data[max].(int) {\nmax = l\n}\nif r &lt; h.size() &amp;&amp; h.data[r].(int) &gt; h.data[max].(int) {\nmax = r\n}\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif max == i {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nh.swap(i, max)\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = max\n}\n}\n</code></pre> my_heap.js<pre><code>/* \u5143\u7d20\u51fa\u5806 */\npoll() {\n// \u5224\u7a7a\u5904\u7406\nif (this.isEmpty()) throw new Error(\"\u5806\u4e3a\u7a7a\");\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nthis.#swap(0, this.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nconst val = this.#maxHeap.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nthis.#siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\n#siftDown(i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nconst l = this.#left(i),\nr = this.#right(i);\nlet ma = i;\nif (l &lt; this.size() &amp;&amp; this.#maxHeap[l] &gt; this.#maxHeap[ma]) ma = l;\nif (r &lt; this.size() &amp;&amp; this.#maxHeap[r] &gt; this.#maxHeap[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.#swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u5143\u7d20\u51fa\u5806 */\npoll(): number {\n// \u5224\u7a7a\u5904\u7406\nif (this.isEmpty()) throw new RangeError(\"Heap is empty.\");\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nthis.swap(0, this.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nconst val = this.maxHeap.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nthis.siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nsiftDown(i: number): void {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nconst l = this.left(i), r = this.right(i);\nlet ma = i;\nif (l &lt; this.size() &amp;&amp; this.maxHeap[l] &gt; this.maxHeap[ma]) ma = l;\nif (r &lt; this.size() &amp;&amp; this.maxHeap[r] &gt; this.maxHeap[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{poll}\n[class]{maxHeap}-[func]{siftDown}\n</code></pre> my_heap.cs<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nint poll()\n{\n// \u5224\u7a7a\u5904\u7406\nif (isEmpty())\nthrow new IndexOutOfRangeException();\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(0, size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nint val = maxHeap.Last();\nmaxHeap.RemoveAt(size() - 1);\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i)\n{\nwhile (true)\n{\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\nif (l &lt; size() &amp;&amp; maxHeap[l] &gt; maxHeap[ma])\nma = l;\nif (r &lt; size() &amp;&amp; maxHeap[r] &gt; maxHeap[ma])\nma = r;\n// \u82e5\u201c\u7ed3\u70b9 i \u6700\u5927\u201d\u6216\u201c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u201d\uff0c\u5219\u7ed3\u675f\u5806\u5316\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nfunc poll() -&gt; Int {\n// \u5224\u7a7a\u5904\u7406\nif isEmpty() {\nfatalError(\"\u5806\u4e3a\u7a7a\")\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(i: 0, j: size() - 1)\n// \u5220\u9664\u7ed3\u70b9\nlet val = maxHeap.remove(at: size() - 1)\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(i: 0)\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nfunc siftDown(i: Int) {\nvar i = i\nwhile true {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nlet l = left(i: i)\nlet r = right(i: i)\nvar ma = i\nif l &lt; size(), maxHeap[l] &gt; maxHeap[ma] {\nma = l\n}\nif r &lt; size(), maxHeap[r] &gt; maxHeap[ma] {\nma = r\n}\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif ma == i {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i: i, j: ma)\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u5143\u7d20\u51fa\u5806\nfn poll(self: *Self) !T {\n// \u5224\u65ad\u5904\u7406\nif (self.isEmpty()) unreachable;\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\ntry self.swap(0, self.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nvar val = self.maxHeap.?.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\ntry self.siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n} // \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316\nfn siftDown(self: *Self, i_: usize) !void {\nvar i = i_;\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nvar l = left(i);\nvar r = right(i);\nvar ma = i;\nif (l &lt; self.size() and self.maxHeap.?.items[l] &gt; self.maxHeap.?.items[ma]) ma = l;\nif (r &lt; self.size() and self.maxHeap.?.items[r] &gt; self.maxHeap.?.items[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\ntry self.swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_5","title":"\u8f93\u5165\u6570\u636e\u5e76\u5efa\u5806 *","text":"<p>\u5982\u679c\u6211\u4eec\u60f3\u8981\u76f4\u63a5\u8f93\u5165\u4e00\u4e2a\u5217\u8868\u5e76\u5c06\u5176\u5efa\u5806\uff0c\u90a3\u4e48\u8be5\u600e\u4e48\u505a\u5462\uff1f\u6700\u76f4\u63a5\u5730\uff0c\u8003\u8651\u4f7f\u7528\u300c\u5143\u7d20\u5165\u5806\u300d\u65b9\u6cd5\uff0c\u5c06\u5217\u8868\u5143\u7d20\u4f9d\u6b21\u5165\u5806\u3002\u5143\u7d20\u5165\u5806\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u800c\u5e73\u5747\u957f\u5ea6\u4e3a \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u8be5\u65b9\u6cd5\u7684\u603b\u4f53\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \u3002</p> <p>\u7136\u800c\uff0c\u5b58\u5728\u4e00\u79cd\u66f4\u52a0\u4f18\u96c5\u7684\u5efa\u5806\u65b9\u6cd5\u3002\u8bbe\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u6211\u4eec\u5148\u5c06\u5217\u8868\u6240\u6709\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\uff0c\u7136\u540e\u8fed\u4ee3\u5730\u5bf9\u5404\u4e2a\u7ed3\u70b9\u6267\u884c\u300c\u4ece\u9876\u81f3\u5e95\u5806\u5316\u300d\u3002\u5f53\u7136\uff0c\u65e0\u9700\u5bf9\u53f6\u7ed3\u70b9\u6267\u884c\u5806\u5316\uff0c\u56e0\u4e3a\u5176\u6ca1\u6709\u5b50\u7ed3\u70b9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(List&lt;Integer&gt; nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = new ArrayList&lt;&gt;(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (int i = parent(size() - 1); i &gt;= 0; i--) {\nsiftDown(i);\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(vector&lt;int&gt; nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = nums;\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (int i = parent(size() - 1); i &gt;= 0; i--) {\nsiftDown(i);\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u5207\u7247\u5efa\u5806 */\nfunc newMaxHeap(nums []any) *maxHeap {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nh := &amp;maxHeap{data: nums}\nfor i := len(h.data) - 1; i &gt;= 0; i-- {\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nh.siftDown(i)\n}\nreturn h\n}\n</code></pre> my_heap.js<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u5efa\u7acb\u7a7a\u5806\u6216\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nconstructor(nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nthis.#maxHeap = nums === undefined ? [] : [...nums];\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (let i = this.#parent(this.size() - 1); i &gt;= 0; i--) {\nthis.#siftDown(i);\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u5efa\u7acb\u7a7a\u5806\u6216\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nconstructor(nums?: number[]) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nthis.maxHeap = nums === undefined ? [] : [...nums];\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (let i = this.parent(this.size() - 1); i &gt;= 0; i--) {\nthis.siftDown(i);\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{newMaxHeap}\n</code></pre> my_heap.cs<pre><code>/* \u6784\u9020\u51fd\u6570\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(IEnumerable&lt;int&gt; nums)\n{\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = new List&lt;int&gt;(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nvar size = parent(this.size() - 1);\nfor (int i = size; i &gt;= 0; i--)\n{\nsiftDown(i);\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\ninit(nums: [Int]) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = nums\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor i in stride(from: parent(i: size() - 1), through: 0, by: -1) {\nsiftDown(i: i)\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806\nfn init(self: *Self, allocator: std.mem.Allocator, nums: []const T) !void {\nif (self.maxHeap != null) return;\nself.maxHeap = std.ArrayList(T).init(allocator);\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\ntry self.maxHeap.?.appendSlice(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nvar i: usize = parent(self.size() - 1) + 1;\nwhile (i &gt; 0) : (i -= 1) {\ntry self.siftDown(i - 1);\n}\n}\n</code></pre> <p>\u90a3\u4e48\uff0c\u7b2c\u4e8c\u79cd\u5efa\u5806\u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u65f6\u591a\u5c11\u5462\uff1f\u6211\u4eec\u6765\u505a\u4e00\u4e0b\u7b80\u5355\u63a8\u7b97\u3002</p> <ul> <li>\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d\uff0c\u8bbe\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u53f6\u7ed3\u70b9\u6570\u91cf\u4e3a \\((n + 1) / 2\\) \uff0c\u5176\u4e2d \\(/\\) \u4e3a\u5411\u4e0b\u6574\u9664\u3002\u56e0\u6b64\u5728\u6392\u9664\u53f6\u7ed3\u70b9\u540e\uff0c\u9700\u8981\u5806\u5316\u7ed3\u70b9\u6570\u91cf\u4e3a \\((n - 1)/2\\) \uff0c\u5373\u4e3a \\(O(n)\\) \uff1b</li> <li>\u4ece\u9876\u81f3\u5e95\u5806\u5316\u4e2d\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u6700\u591a\u5806\u5316\u81f3\u53f6\u7ed3\u70b9\uff0c\u56e0\u6b64\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u4e3a\u4e8c\u53c9\u6811\u9ad8\u5ea6 \\(O(\\log n)\\) \uff1b</li> </ul> <p>\u5c06\u4e0a\u8ff0\u4e24\u8005\u76f8\u4e58\uff0c\u53ef\u5f97\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \u3002\u7136\u800c\uff0c\u8be5\u4f30\u7b97\u7ed3\u679c\u4ecd\u4e0d\u591f\u51c6\u786e\uff0c\u56e0\u4e3a\u6211\u4eec\u6ca1\u6709\u8003\u8651\u5230 \u4e8c\u53c9\u6811\u5e95\u5c42\u7ed3\u70b9\u8fdc\u591a\u4e8e\u9876\u5c42\u7ed3\u70b9 \u7684\u6027\u8d28\u3002</p> <p>\u4e0b\u9762\u6211\u4eec\u6765\u5c1d\u8bd5\u5c55\u5f00\u8ba1\u7b97\u3002\u4e3a\u4e86\u51cf\u5c0f\u8ba1\u7b97\u96be\u5ea6\uff0c\u6211\u4eec\u5047\u8bbe\u6811\u662f\u4e00\u4e2a\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff0c\u8be5\u5047\u8bbe\u4e0d\u4f1a\u5f71\u54cd\u8ba1\u7b97\u7ed3\u679c\u7684\u6b63\u786e\u6027\u3002\u8bbe\u4e8c\u53c9\u6811\uff08\u5373\u5806\uff09\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u6811\u9ad8\u5ea6\u4e3a \\(h\\) \u3002\u4e0a\u6587\u63d0\u5230\uff0c\u7ed3\u70b9\u5806\u5316\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u7b49\u4e8e\u8be5\u7ed3\u70b9\u5230\u53f6\u7ed3\u70b9\u7684\u8ddd\u79bb\uff0c\u800c\u8fd9\u6b63\u662f\u201c\u7ed3\u70b9\u9ad8\u5ea6\u201d\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u5404\u5c42\u7684\u201c\u7ed3\u70b9\u6570\u91cf \\(\\times\\) \u7ed3\u70b9\u9ad8\u5ea6\u201d\u6c42\u548c\uff0c\u5373\u53ef\u5f97\u5230\u6240\u6709\u7ed3\u70b9\u7684\u5806\u5316\u7684\u8fed\u4ee3\u6b21\u6570\u603b\u548c\u3002</p> \\[ T(h) = 2^0h + 2^1(h-1) + 2^2(h-2) + \\cdots + 2^{(h-1)}\\times1 \\] <p></p> <p>\u5316\u7b80\u4e0a\u5f0f\u9700\u8981\u501f\u52a9\u4e2d\u5b66\u7684\u6570\u5217\u77e5\u8bc6\uff0c\u5148\u5bf9 \\(T(h)\\) \u4e58\u4ee5 \\(2\\) \uff0c\u6613\u5f97</p> \\[ \\begin{aligned} T(h) &amp; = 2^0h + 2^1(h-1) + 2^2(h-2) + \\cdots + 2^{h-1}\\times1 \\newline 2 T(h) &amp; = 2^1h + 2^2(h-1) + 2^3(h-2) + \\cdots + 2^{h}\\times1 \\newline \\end{aligned} \\] <p>\u4f7f\u7528\u9519\u4f4d\u76f8\u51cf\u6cd5\uff0c\u4ee4\u4e0b\u5f0f \\(2 T(h)\\) \u51cf\u53bb\u4e0a\u5f0f \\(T(h)\\) \uff0c\u53ef\u5f97</p> \\[ 2T(h) - T(h) = T(h) = -2^0h + 2^1 + 2^2 + \\cdots + 2^{h-1} + 2^h \\] <p>\u89c2\u5bdf\u4e0a\u5f0f\uff0c\\(T(h)\\) \u662f\u4e00\u4e2a\u7b49\u6bd4\u6570\u5217\uff0c\u53ef\u76f4\u63a5\u4f7f\u7528\u6c42\u548c\u516c\u5f0f\uff0c\u5f97\u5230\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a</p> \\[ \\begin{aligned} T(h) &amp; = 2 \\frac{1 - 2^h}{1 - 2} - h \\newline &amp; = 2^{h+1} - h \\newline &amp; = O(2^h) \\end{aligned} \\] <p>\u8fdb\u4e00\u6b65\u5730\uff0c\u9ad8\u5ea6\u4e3a \\(h\\) \u7684\u5b8c\u7f8e\u4e8c\u53c9\u6811\u7684\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n = 2^{h+1} - 1\\) \uff0c\u6613\u5f97\u590d\u6742\u5ea6\u4e3a \\(O(2^h) = O(n)\\)\u3002\u4ee5\u4e0a\u63a8\u7b97\u8868\u660e\uff0c\u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u975e\u5e38\u9ad8\u6548\u3002</p>"},{"location":"chapter_heap/heap/#814","title":"8.1.4. \u5806\u5e38\u89c1\u5e94\u7528","text":"<ul> <li>\u4f18\u5148\u961f\u5217\u3002\u5806\u5e38\u4f5c\u4e3a\u5b9e\u73b0\u4f18\u5148\u961f\u5217\u7684\u9996\u9009\u6570\u636e\u7ed3\u6784\uff0c\u5165\u961f\u548c\u51fa\u961f\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u5efa\u961f\u64cd\u4f5c\u4e3a \\(O(n)\\) \uff0c\u7686\u975e\u5e38\u9ad8\u6548\u3002</li> <li>\u5806\u6392\u5e8f\u3002\u7ed9\u5b9a\u4e00\u7ec4\u6570\u636e\uff0c\u6211\u4eec\u4f7f\u7528\u5176\u5efa\u5806\uff0c\u5e76\u4f9d\u6b21\u5168\u90e8\u5f39\u51fa\uff0c\u5219\u53ef\u4ee5\u5f97\u5230\u6709\u5e8f\u7684\u5e8f\u5217\u3002\u5f53\u7136\uff0c\u5806\u6392\u5e8f\u4e00\u822c\u65e0\u9700\u5f39\u51fa\u5143\u7d20\uff0c\u4ec5\u9700\u6bcf\u8f6e\u5c06\u5806\u9876\u5143\u7d20\u4ea4\u6362\u81f3\u6570\u7ec4\u5c3e\u90e8\u5e76\u51cf\u5c0f\u5806\u7684\u957f\u5ea6\u5373\u53ef\u3002</li> <li>\u83b7\u53d6\u6700\u5927\u7684 \\(k\\) \u4e2a\u5143\u7d20\u3002\u8fd9\u65e2\u662f\u4e00\u9053\u7ecf\u5178\u7b97\u6cd5\u9898\u76ee\uff0c\u4e5f\u662f\u4e00\u79cd\u5e38\u89c1\u5e94\u7528\uff0c\u4f8b\u5982\u9009\u53d6\u70ed\u5ea6\u524d 10 \u7684\u65b0\u95fb\u4f5c\u4e3a\u5fae\u535a\u70ed\u641c\uff0c\u9009\u53d6\u524d 10 \u9500\u91cf\u7684\u5546\u54c1\u7b49\u3002</li> </ul>"},{"location":"chapter_introduction/algorithms_are_everywhere/","title":"1.1. \u7b97\u6cd5\u65e0\u5904\u4e0d\u5728","text":"<p>\u542c\u5230\u201c\u7b97\u6cd5\u201d\u8fd9\u4e2a\u8bcd\uff0c\u6211\u4eec\u4e00\u822c\u4f1a\u8054\u60f3\u5230\u6570\u5b66\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u5927\u591a\u6570\u7b97\u6cd5\u5e76\u4e0d\u5305\u542b\u590d\u6742\u7684\u6570\u5b66\uff0c\u800c\u66f4\u50cf\u662f\u5728\u8003\u5bdf\u57fa\u672c\u903b\u8f91\uff0c\u800c\u8fd9\u4e9b\u903b\u8f91\u5728\u6211\u4eec\u65e5\u5e38\u751f\u6d3b\u4e2d\u5904\u5904\u53ef\u89c1\u3002</p> <p>\u5728\u6b63\u5f0f\u4ecb\u7ecd\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u60f3\u544a\u8bc9\u4f60\u4e00\u4ef6\u6709\u8da3\u7684\u4e8b\uff1a\u5176\u5b9e\uff0c\u4f60\u5728\u8fc7\u53bb\u5df2\u7ecf\u5b66\u4f1a\u4e86\u5f88\u591a\u7b97\u6cd5\uff0c\u5e76\u4e14\u5df2\u7ecf\u4e60\u60ef\u5c06\u5b83\u4eec\u5e94\u7528\u5230\u65e5\u5e38\u751f\u6d3b\u4e2d\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u4ecb\u7ecd\u4e24\u4e2a\u5177\u4f53\u4f8b\u5b50\u6765\u4f50\u8bc1\u3002</p> <p>\u4f8b\u4e00\uff1a\u62fc\u79ef\u6728\u3002\u4e00\u5957\u79ef\u6728\uff0c\u9664\u4e86\u6709\u8bb8\u591a\u90e8\u4ef6\u4e4b\u5916\uff0c\u8fd8\u4f1a\u9644\u9001\u8be6\u7ec6\u7684\u62fc\u88c5\u8bf4\u660e\u4e66\u3002\u6211\u4eec\u6309\u7167\u8bf4\u660e\u4e66\u4e0a\u4e00\u6b65\u6b65\u64cd\u4f5c\uff0c\u5373\u53ef\u62fc\u51fa\u590d\u6742\u7684\u79ef\u6728\u6a21\u578b\u3002</p> <p>\u5982\u679c\u4ece\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u89d2\u5ea6\u770b\uff0c\u5927\u5927\u5c0f\u5c0f\u7684\u300c\u79ef\u6728\u300d\u5c31\u662f\u6570\u636e\u7ed3\u6784\uff0c\u800c\u300c\u62fc\u88c5\u8bf4\u660e\u4e66\u300d\u4e0a\u7684\u4e00\u7cfb\u5217\u6b65\u9aa4\u5c31\u662f\u7b97\u6cd5\u3002</p> <p>\u4f8b\u4e8c\uff1a\u67e5\u5b57\u5178\u3002\u5728\u5b57\u5178\u4e2d\uff0c\u6bcf\u4e2a\u6c49\u5b57\u90fd\u6709\u4e00\u4e2a\u5bf9\u5e94\u7684\u62fc\u97f3\uff0c\u800c\u5b57\u5178\u662f\u6309\u7167\u62fc\u97f3\u7684\u82f1\u6587\u5b57\u6bcd\u8868\u987a\u5e8f\u6392\u5217\u7684\u3002\u5047\u8bbe\u9700\u8981\u5728\u5b57\u5178\u4e2d\u67e5\u8be2\u4efb\u610f\u4e00\u4e2a\u62fc\u97f3\u9996\u5b57\u6bcd\u4e3a \\(r\\) \u7684\u5b57\uff0c\u4e00\u822c\u6211\u4eec\u4f1a\u8fd9\u6837\u505a\uff1a</p> <ol> <li>\u6253\u5f00\u5b57\u5178\u5927\u81f4\u4e00\u534a\u9875\u6570\u7684\u4f4d\u7f6e\uff0c\u67e5\u770b\u6b64\u9875\u7684\u9996\u5b57\u6bcd\u662f\u4ec0\u4e48\uff08\u5047\u8bbe\u4e3a \\(m\\) \uff09\uff1b</li> <li>\u7531\u4e8e\u5728\u82f1\u6587\u5b57\u6bcd\u8868\u4e2d \\(r\\) \u5728 \\(m\\) \u7684\u540e\u9762\uff0c\u56e0\u6b64\u5e94\u6392\u9664\u5b57\u5178\u524d\u534a\u90e8\u5206\uff0c\u67e5\u627e\u8303\u56f4\u4ec5\u5269\u540e\u534a\u90e8\u5206\uff1b</li> <li>\u5faa\u73af\u6267\u884c\u6b65\u9aa4 1-2 \uff0c\u76f4\u5230\u627e\u5230\u62fc\u97f3\u9996\u5b57\u6bcd\u4e3a \\(r\\) \u7684\u9875\u7801\u65f6\u7ec8\u6b62\u3002</li> </ol> Step 1Step 2Step 3Step 4Step 5 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u67e5\u5b57\u5178\u8fd9\u4e2a\u5c0f\u5b66\u751f\u7684\u6807\u914d\u6280\u80fd\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f\u5927\u540d\u9f0e\u9f0e\u7684\u300c\u4e8c\u5206\u67e5\u627e\u300d\u3002\u4ece\u6570\u636e\u7ed3\u6784\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5b57\u5178\u770b\u4f5c\u662f\u4e00\u4e2a\u5df2\u6392\u5e8f\u7684\u300c\u6570\u7ec4\u300d\uff1b\u800c\u4ece\u7b97\u6cd5\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u5c06\u4e0a\u8ff0\u67e5\u5b57\u5178\u7684\u4e00\u7cfb\u5217\u6307\u4ee4\u770b\u4f5c\u662f\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7b97\u6cd5\u3002</p> <p>\u5c0f\u5230\u70f9\u996a\u4e00\u9053\u83dc\u3001\u5927\u5230\u661f\u9645\u822a\u884c\uff0c\u51e0\u4e4e\u6240\u6709\u95ee\u9898\u7684\u89e3\u51b3\u90fd\u79bb\u4e0d\u5f00\u7b97\u6cd5\u3002\u8ba1\u7b97\u673a\u7684\u51fa\u73b0\uff0c\u4f7f\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u7f16\u7a0b\u5c06\u6570\u636e\u7ed3\u6784\u5b58\u50a8\u5728\u5185\u5b58\u4e2d\uff0c\u4e5f\u53ef\u4ee5\u7f16\u5199\u4ee3\u7801\u6765\u8c03\u7528 CPU, GPU \u6267\u884c\u7b97\u6cd5\uff0c\u4ece\u800c\u5c06\u751f\u6d3b\u4e2d\u7684\u95ee\u9898\u642c\u8fd0\u5230\u8ba1\u7b97\u673a\u4e2d\uff0c\u66f4\u52a0\u9ad8\u6548\u5730\u89e3\u51b3\u5404\u5f0f\u5404\u6837\u7684\u590d\u6742\u95ee\u9898\u3002</p> <p>Tip</p> <p>\u8bfb\u5230\u8fd9\u91cc\uff0c\u5982\u679c\u4f60\u611f\u5230\u5bf9\u6570\u636e\u7ed3\u6784\u3001\u7b97\u6cd5\u3001\u6570\u7ec4\u3001\u4e8c\u5206\u67e5\u627e\u7b49\u6b64\u7c7b\u6982\u5ff5\u4e00\u77e5\u534a\u89e3\uff0c\u90a3\u4e48\u5c31\u592a\u597d\u4e86\uff01\u56e0\u4e3a\u8fd9\u6b63\u662f\u672c\u4e66\u5b58\u5728\u7684\u4ef7\u503c\uff0c\u63a5\u4e0b\u6765\uff0c\u672c\u4e66\u5c06\u4f1a\u4e00\u6b65\u6b65\u5730\u5f15\u5bfc\u4f60\u8fdb\u5165\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u77e5\u8bc6\u6bbf\u5802\u3002</p>"},{"location":"chapter_introduction/what_is_dsa/","title":"1.2. \u7b97\u6cd5\u662f\u4ec0\u4e48","text":""},{"location":"chapter_introduction/what_is_dsa/#121","title":"1.2.1. \u7b97\u6cd5\u5b9a\u4e49","text":"<p>\u300c\u7b97\u6cd5 Algorithm\u300d\u662f\u5728\u6709\u9650\u65f6\u95f4\u5185\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u7684\u4e00\u7ec4\u6307\u4ee4\u6216\u64cd\u4f5c\u6b65\u9aa4\u3002\u7b97\u6cd5\u5177\u6709\u4ee5\u4e0b\u7279\u6027\uff1a</p> <ul> <li>\u95ee\u9898\u662f\u660e\u786e\u7684\uff0c\u9700\u8981\u62e5\u6709\u660e\u786e\u7684\u8f93\u5165\u548c\u8f93\u51fa\u5b9a\u4e49\u3002</li> <li>\u89e3\u5177\u6709\u786e\u5b9a\u6027\uff0c\u5373\u7ed9\u5b9a\u76f8\u540c\u8f93\u5165\u65f6\uff0c\u8f93\u51fa\u4e00\u5b9a\u76f8\u540c\u3002</li> <li>\u5177\u6709\u53ef\u884c\u6027\uff0c\u53ef\u5728\u6709\u9650\u6b65\u9aa4\u3001\u6709\u9650\u65f6\u95f4\u3001\u6709\u9650\u5185\u5b58\u7a7a\u95f4\u4e0b\u5b8c\u6210\u3002</li> <li>\u72ec\u7acb\u4e8e\u7f16\u7a0b\u8bed\u8a00\uff0c\u5373\u53ef\u7528\u591a\u79cd\u8bed\u8a00\u5b9e\u73b0\u3002</li> </ul>"},{"location":"chapter_introduction/what_is_dsa/#122","title":"1.2.2. \u6570\u636e\u7ed3\u6784\u5b9a\u4e49","text":"<p>\u300c\u6570\u636e\u7ed3\u6784 Data Structure\u300d\u662f\u5728\u8ba1\u7b97\u673a\u4e2d\u7ec4\u7ec7\u4e0e\u5b58\u50a8\u6570\u636e\u7684\u65b9\u5f0f\u3002\u4e3a\u4e86\u63d0\u9ad8\u6570\u636e\u5b58\u50a8\u548c\u64cd\u4f5c\u6027\u80fd\uff0c\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u539f\u5219\u6709\uff1a</p> <ul> <li>\u7a7a\u95f4\u5360\u7528\u5c3d\u53ef\u80fd\u5c0f\uff0c\u8282\u7701\u8ba1\u7b97\u673a\u5185\u5b58\u3002</li> <li>\u6570\u636e\u64cd\u4f5c\u5c3d\u91cf\u5feb\uff0c\u5305\u62ec\u6570\u636e\u8bbf\u95ee\u3001\u6dfb\u52a0\u3001\u5220\u9664\u3001\u66f4\u65b0\u7b49\u3002</li> <li>\u63d0\u4f9b\u7b80\u6d01\u7684\u6570\u636e\u8868\u793a\u548c\u903b\u8f91\u4fe1\u606f\uff0c\u4ee5\u4fbf\u7b97\u6cd5\u9ad8\u6548\u8fd0\u884c\u3002</li> </ul> <p>\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u662f\u4e00\u4e2a\u5145\u6ee1\u6743\u8861\u7684\u8fc7\u7a0b\uff0c\u8fd9\u610f\u5473\u7740\u5982\u679c\u83b7\u5f97\u67d0\u65b9\u9762\u7684\u4f18\u52bf\uff0c\u5219\u5f80\u5f80\u9700\u8981\u5728\u53e6\u4e00\u65b9\u9762\u505a\u51fa\u59a5\u534f\u3002\u4f8b\u5982\uff0c\u94fe\u8868\u76f8\u5bf9\u4e8e\u6570\u7ec4\uff0c\u6570\u636e\u6dfb\u52a0\u5220\u9664\u64cd\u4f5c\u66f4\u52a0\u65b9\u4fbf\uff0c\u4f46\u727a\u7272\u4e86\u6570\u636e\u7684\u8bbf\u95ee\u901f\u5ea6\uff1b\u56fe\u76f8\u5bf9\u4e8e\u94fe\u8868\uff0c\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u903b\u8f91\u4fe1\u606f\uff0c\u4f46\u9700\u8981\u5360\u7528\u66f4\u591a\u7684\u5185\u5b58\u7a7a\u95f4\u3002</p>"},{"location":"chapter_introduction/what_is_dsa/#123","title":"1.2.3. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u5173\u7cfb","text":"<p>\u300c\u6570\u636e\u7ed3\u6784\u300d\u4e0e\u300c\u7b97\u6cd5\u300d\u662f\u9ad8\u5ea6\u76f8\u5173\u3001\u7d27\u5bc6\u5d4c\u5408\u7684\uff0c\u4f53\u73b0\u5728\uff1a</p> <ul> <li>\u6570\u636e\u7ed3\u6784\u662f\u7b97\u6cd5\u7684\u5e95\u5ea7\u3002\u6570\u636e\u7ed3\u6784\u4e3a\u7b97\u6cd5\u63d0\u4f9b\u7ed3\u6784\u5316\u5b58\u50a8\u7684\u6570\u636e\uff0c\u4ee5\u53ca\u64cd\u4f5c\u6570\u636e\u7684\u5bf9\u5e94\u65b9\u6cd5\u3002</li> <li>\u7b97\u6cd5\u662f\u53d1\u6325\u6570\u636e\u7ed3\u6784\u4f18\u52bf\u7684\u821e\u53f0\u3002\u6570\u636e\u7ed3\u6784\u4ec5\u5b58\u50a8\u6570\u636e\u4fe1\u606f\uff0c\u7ed3\u5408\u7b97\u6cd5\u624d\u53ef\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u3002</li> <li>\u7b97\u6cd5\u6709\u5bf9\u5e94\u6700\u4f18\u7684\u6570\u636e\u7ed3\u6784\u3002\u7ed9\u5b9a\u7b97\u6cd5\uff0c\u4e00\u822c\u53ef\u57fa\u4e8e\u4e0d\u540c\u7684\u6570\u636e\u7ed3\u6784\u5b9e\u73b0\uff0c\u800c\u6700\u7ec8\u6267\u884c\u6548\u7387\u5f80\u5f80\u76f8\u5dee\u5f88\u5927\u3002</li> </ul> <p></p> <p> Fig. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u5173\u7cfb </p> <p>\u5982\u679c\u5c06\u300cLEGO \u4e50\u9ad8\u300d\u7c7b\u6bd4\u5230\u300c\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u300d\uff0c\u90a3\u4e48\u53ef\u4ee5\u5f97\u5230\u4e0b\u8868\u6240\u793a\u7684\u5bf9\u5e94\u5173\u7cfb\u3002</p> \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5 LEGO \u4e50\u9ad8 \u8f93\u5165\u6570\u636e \u672a\u62fc\u88c5\u7684\u79ef\u6728 \u6570\u636e\u7ed3\u6784 \u79ef\u6728\u7ec4\u7ec7\u5f62\u5f0f\uff0c\u5305\u62ec\u5f62\u72b6\u3001\u5927\u5c0f\u3001\u8fde\u63a5\u65b9\u5f0f\u7b49 \u7b97\u6cd5 \u628a\u79ef\u6728\u62fc\u6210\u76ee\u6807\u5f62\u6001\u7684\u4e00\u7cfb\u5217\u64cd\u4f5c\u6b65\u9aa4 \u8f93\u51fa\u6570\u636e \u79ef\u6728\u6a21\u578b <p>\u7ea6\u5b9a\u4fd7\u6210\u7684\u7b80\u79f0</p> <p>\u5728\u5b9e\u9645\u8ba8\u8bba\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u4f1a\u5c06\u300c\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u300d\u76f4\u63a5\u7b80\u79f0\u4e3a\u300c\u7b97\u6cd5\u300d\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u719f\u79f0\u7684 LeetCode \u7b97\u6cd5\u9898\u76ee\uff0c\u5b9e\u9645\u4e0a\u540c\u65f6\u8003\u5bdf\u4e86\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\u4e24\u90e8\u5206\u77e5\u8bc6\u3002</p>"},{"location":"chapter_preface/about_the_book/","title":"0.1. \u5173\u4e8e\u672c\u4e66","text":"<p>\u4e94\u5e74\u524d\u53d1\u751f\u7684\u4e00\u4ef6\u4e8b\uff0c\u6210\u4e3a\u4e86\u6211\u804c\u4e1a\u751f\u6daf\u7684\u91cd\u8981\u8f6c\u6298\u70b9\u3002\u5f53\u65f6\u7684\u6211\u5728\u4ea4\u5927\u8bfb\u7814\uff0c\u5bf9\u4e92\u8054\u7f51\u6c42\u804c\u4e00\u65e0\u6240\u77e5\uff0c\u4f46\u4ecd\u7136\u786c\u7740\u5934\u76ae\u7533\u8bf7\u4e86 Microsoft \u8f6f\u4ef6\u5de5\u7a0b\u5e08\u5b9e\u4e60\u3002\u9762\u8bd5\u5b98\u8ba9\u6211\u5728\u767d\u677f\u4e0a\u5199\u51fa\u201c\u5feb\u901f\u6392\u5e8f\u201d\u4ee3\u7801\uff0c\u6211\u754f\u754f\u7f29\u7f29\u5730\u5199\u4e86\u4e00\u4e2a\u201c\u5192\u6ce1\u6392\u5e8f\u201d\uff0c\u5e76\u4e14\u8fd8\u5199\u9519\u4e86<code>(ToT)</code> \u3002\u4ece\u9762\u8bd5\u5b98\u7684\u8868\u60c5\u4e0a\uff0c\u6211\u770b\u5230\u4e86\u4e00\u4e2a\u5927\u5927\u7684 \"GG\" \u3002</p> <p>\u6b64\u6b21\u5931\u5229\u5012\u903c\u6211\u5f00\u59cb\u5237\u7b97\u6cd5\u9898\u3002\u6211\u91c7\u7528\u201c\u626b\u96f7\u6e38\u620f\u201d\u5f0f\u7684\u5b66\u4e60\u65b9\u6cd5\uff0c\u4e24\u773c\u4e00\u62b9\u9ed1\u5237\u9898\uff0c\u626b\u5230\u4e0d\u4f1a\u7684\u201c\u96f7\u201d\u5c31\u901a\u8fc7\u67e5\u8d44\u6599\u628a\u5b83\u201c\u6392\u6389\u201d\uff0c\u914d\u5408\u5468\u671f\u6027\u603b\u7ed3\uff0c\u9010\u6e10\u5f62\u6210\u4e86\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u77e5\u8bc6\u56fe\u666f\u3002\u5e78\u8fd0\u5730\uff0c\u6211\u5728\u79cb\u62db\u65a9\u83b7\u4e86\u591a\u5bb6\u5927\u5382\u7684 Offer \u3002</p> <p>\u56de\u60f3\u81ea\u5df1\u5f53\u521d\u5728\u201c\u626b\u96f7\u5f0f\u201d\u5237\u9898\u4e2d\u88ab\u70b8\u7684\u6ee1\u5934\u5305\u7684\u75db\u82e6\uff0c\u601d\u8003\u826f\u4e45\uff0c\u6211\u610f\u8bc6\u5230\u4e00\u672c\u201c\u524d\u671f\u5237\u9898\u5fc5\u770b\u201d\u7684\u8bfb\u7269\u53ef\u4ee5\u4f7f\u7b97\u6cd5\u5c0f\u767d\u5c11\u8d70\u8bb8\u591a\u5f2f\u8def\u3002\u5199\u4f5c\u610f\u613f\u6eda\u6eda\u88ad\u6765\uff0c\u90a3\u5c31\u52a8\u7b14\u5427\uff1a</p>  Hello\uff0c\u7b97\u6cd5\uff01"},{"location":"chapter_preface/about_the_book/#011","title":"0.1.1. \u8bfb\u8005\u5bf9\u8c61","text":"<p>\u524d\u7f6e\u6761\u4ef6</p> <p>\u60a8\u9700\u8981\u81f3\u5c11\u5177\u5907\u4efb\u4e00\u8bed\u8a00\u7684\u7f16\u7a0b\u57fa\u7840\uff0c\u80fd\u591f\u9605\u8bfb\u548c\u7f16\u5199\u7b80\u5355\u4ee3\u7801\u3002</p> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u521d\u5b66\u8005\uff0c\u5b8c\u5168\u6ca1\u6709\u63a5\u89e6\u8fc7\u7b97\u6cd5\uff0c\u6216\u8005\u5df2\u7ecf\u6709\u5c11\u91cf\u5237\u9898\uff0c\u5bf9\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u6709\u6726\u80e7\u7684\u7406\u89e3\uff0c\u5728\u4f1a\u4e0e\u4e0d\u4f1a\u4e4b\u95f4\u53cd\u590d\u6a2a\u8df3\uff0c\u90a3\u4e48\u8fd9\u672c\u4e66\u5c31\u662f\u4e3a\u60a8\u800c\u5199\uff01\u672c\u4e66\u80fd\u591f\u5e26\u6765\uff1a</p> <ul> <li>\u4e86\u89e3\u5237\u9898\u6240\u9700\u7684 \u6570\u636e\u7ed3\u6784\uff0c\u5305\u62ec\u5e38\u7528\u64cd\u4f5c\u3001\u4f18\u52bf\u548c\u52a3\u52bf\u3001\u5178\u578b\u5e94\u7528\u3001\u5b9e\u73b0\u65b9\u6cd5\u7b49\u3002</li> <li>\u5b66\u4e60\u5404\u7c7b \u7b97\u6cd5\uff0c\u4ecb\u7ecd\u7b97\u6cd5\u7684\u8bbe\u8ba1\u601d\u60f3\u3001\u8fd0\u884c\u6548\u7387\u3001\u4f18\u52bf\u52a3\u52bf\u3001\u5b9e\u73b0\u65b9\u6cd5\u7b49\u3002</li> <li>\u53ef\u4e00\u952e\u8fd0\u884c\u7684 \u914d\u5957\u4ee3\u7801\uff0c\u5305\u542b\u8be6\u7ec6\u6ce8\u91ca\uff0c\u5e2e\u52a9\u4f60\u901a\u8fc7\u5b9e\u8df5\u52a0\u6df1\u7406\u89e3\u3002</li> </ul> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u719f\u7ec3\u5de5\uff0c\u5df2\u7ecf\u79ef\u7d2f\u4e00\u5b9a\u5237\u9898\u91cf\uff0c\u63a5\u89e6\u8fc7\u5927\u591a\u6570\u9898\u578b\uff0c\u90a3\u4e48\u672c\u4e66\u5185\u5bb9\u5bf9\u4f60\u6765\u8bf4\u53ef\u80fd\u7a0d\u663e\u57fa\u7840\uff0c\u4f46\u4ecd\u80fd\u591f\u5e26\u6765\u4ee5\u4e0b\u4ef7\u503c\uff1a</p> <ul> <li>\u672c\u4e66\u7bc7\u5e45\u4e0d\u957f\uff0c\u53ef\u4ee5\u5e2e\u52a9\u4f60\u63d0\u7eb2\u6308\u9886\u5730\u56de\u987e\u7b97\u6cd5\u77e5\u8bc6\u3002</li> <li>\u4e66\u4e2d\u5305\u542b\u8bb8\u591a\u5bf9\u6bd4\u6027\u3001\u603b\u7ed3\u6027\u7684\u7b97\u6cd5\u5185\u5bb9\uff0c\u53ef\u4ee5\u5e2e\u52a9\u4f60\u68b3\u7406\u7b97\u6cd5\u77e5\u8bc6\u4f53\u7cfb\u3002</li> <li>\u6e90\u4ee3\u7801\u5b9e\u73b0\u4e86\u5404\u79cd\u7ecf\u5178\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\uff0c\u53ef\u4ee5\u4f5c\u4e3a\u201c\u5237\u9898\u5de5\u5177\u5e93\u201d\u6765\u4f7f\u7528\u3002</li> </ul> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u5927\u4f6c\uff0c\u8bf7\u53d7\u6211\u819c\u62dc\uff01\u5e0c\u671b\u60a8\u53ef\u4ee5\u62bd\u65f6\u95f4\u63d0\u51fa\u610f\u89c1\u5efa\u8bae\uff0c\u6216\u8005\u4e00\u8d77\u53c2\u4e0e\u521b\u4f5c\uff0c\u5e2e\u52a9\u5404\u4f4d\u540c\u5b66\u83b7\u53d6\u66f4\u597d\u7684\u5b66\u4e60\u5185\u5bb9\uff0c\u611f\u8c22\uff01</p>"},{"location":"chapter_preface/about_the_book/#012","title":"0.1.2. \u5185\u5bb9\u7ed3\u6784","text":"<p>\u672c\u4e66\u4e3b\u8981\u5185\u5bb9\u5206\u4e3a\u590d\u6742\u5ea6\u5206\u6790\u3001\u6570\u636e\u7ed3\u6784\u3001\u7b97\u6cd5\u4e09\u4e2a\u90e8\u5206\u3002</p> <p></p> <p> Fig. \u77e5\u8bc6\u70b9\u601d\u7ef4\u5bfc\u56fe </p>"},{"location":"chapter_preface/about_the_book/#_1","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u9996\u5148\u4ecb\u7ecd\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u8bc4\u4ef7\u7ef4\u5ea6\u3001\u7b97\u6cd5\u6548\u7387\u7684\u8bc4\u4f30\u65b9\u6cd5\uff0c\u5f15\u51fa\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u6982\u5ff5\u3002</p> <p>\u63a5\u4e0b\u6765\uff0c\u4ece \u51fd\u6570\u6e10\u8fd1\u4e0a\u754c \u5165\u624b\uff0c\u5206\u522b\u4ecb\u7ecd\u4e86 \u65f6\u95f4\u590d\u6742\u5ea6 \u548c \u7a7a\u95f4\u590d\u6742\u5ea6\uff0c\u5305\u62ec\u63a8\u7b97\u65b9\u6cd5\u3001\u5e38\u89c1\u7c7b\u578b\u3001\u793a\u4f8b\u7b49\u3002\u540c\u65f6\uff0c\u5256\u6790\u4e86 \u6700\u5dee\u3001\u6700\u4f73\u3001\u5e73\u5747 \u65f6\u95f4\u590d\u6742\u5ea6\u7684\u8054\u7cfb\u4e0e\u533a\u522b\u3002</p>"},{"location":"chapter_preface/about_the_book/#_2","title":"\u6570\u636e\u7ed3\u6784","text":"<p>\u9996\u5148\u4ecb\u7ecd\u4e86\u5e38\u7528\u7684 \u57fa\u672c\u6570\u636e\u7c7b\u578b \u3001\u4ee5\u53ca\u5b83\u4eec\u662f\u5982\u4f55\u5728\u5185\u5b58\u4e2d\u5b58\u50a8\u7684\u3002</p> <p>\u63a5\u4e0b\u6765\uff0c\u4ecb\u7ecd\u4e86\u4e24\u79cd \u6570\u636e\u7ed3\u6784\u5206\u7c7b\u65b9\u6cd5\uff0c\u5305\u62ec\u903b\u8f91\u7ed3\u6784\u4e0e\u7269\u7406\u7ed3\u6784\u3002</p> <p>\u540e\u7eed\u5c55\u5f00\u4ecb\u7ecd\u4e86 \u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u6563\u5217\u8868\u3001\u6811\u3001\u5806\u3001\u56fe \u7b49\u6570\u636e\u7ed3\u6784\uff0c\u5173\u5fc3\u4ee5\u4e0b\u5185\u5bb9\uff1a</p> <ul> <li>\u57fa\u672c\u5b9a\u4e49\uff1a\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u6765\u6e90\u3001\u5b58\u5728\u610f\u4e49\uff1b</li> <li>\u4e3b\u8981\u7279\u70b9\uff1a\u5728\u5404\u9879\u6570\u636e\u64cd\u4f5c\u4e2d\u7684\u4f18\u52bf\u3001\u52a3\u52bf\uff1b</li> <li>\u5e38\u7528\u64cd\u4f5c\uff1a\u4f8b\u5982\u8bbf\u95ee\u3001\u66f4\u65b0\u3001\u63d2\u5165\u3001\u5220\u9664\u3001\u904d\u5386\u3001\u641c\u7d22\u7b49\uff1b</li> <li>\u5e38\u89c1\u7c7b\u578b\uff1a\u5728\u7b97\u6cd5\u9898\u6216\u5de5\u7a0b\u5b9e\u9645\u4e2d\uff0c\u7ecf\u5e38\u78b0\u5230\u7684\u6570\u636e\u7ed3\u6784\u7c7b\u578b\uff1b</li> <li>\u5178\u578b\u5e94\u7528\uff1a\u6b64\u6570\u636e\u7ed3\u6784\u7ecf\u5e38\u642d\u914d\u54ea\u4e9b\u7b97\u6cd5\u4f7f\u7528\uff1b</li> <li>\u5b9e\u73b0\u65b9\u6cd5\uff1a\u5bf9\u4e8e\u91cd\u8981\u7684\u6570\u636e\u7ed3\u6784\uff0c\u5c06\u7ed9\u51fa\u5b8c\u6574\u7684\u5b9e\u73b0\u793a\u4f8b\uff1b</li> </ul>"},{"location":"chapter_preface/about_the_book/#_3","title":"\u7b97\u6cd5","text":"<p>\u5305\u62ec \u67e5\u627e\u7b97\u6cd5\u3001\u6392\u5e8f\u7b97\u6cd5\u3001\u641c\u7d22\u4e0e\u56de\u6eaf\u3001\u52a8\u6001\u89c4\u5212\u3001\u5206\u6cbb\u7b97\u6cd5\uff0c\u5185\u5bb9\u5305\u62ec\uff1a</p> <ul> <li>\u57fa\u672c\u5b9a\u4e49\uff1a\u7b97\u6cd5\u7684\u8bbe\u8ba1\u601d\u60f3\uff1b</li> <li>\u4e3b\u8981\u7279\u70b9\uff1a\u4f7f\u7528\u524d\u7f6e\u6761\u4ef6\u3001\u4f18\u52bf\u548c\u52a3\u52bf\uff1b</li> <li>\u7b97\u6cd5\u6548\u7387\uff1a\u6700\u5dee\u548c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u3001\u7a7a\u95f4\u590d\u6742\u5ea6\uff1b</li> <li>\u5b9e\u73b0\u65b9\u6cd5\uff1a\u5b8c\u6574\u7684\u7b97\u6cd5\u5b9e\u73b0\uff0c\u4ee5\u53ca\u4f18\u5316\u63aa\u65bd\uff1b</li> <li>\u793a\u4f8b\u9898\u76ee\uff1a\u7ed3\u5408\u4f8b\u9898\u52a0\u6df1\u7406\u89e3\uff1b</li> </ul>"},{"location":"chapter_preface/about_the_book/#013","title":"0.1.3. \u914d\u5957\u4ee3\u7801","text":"<p>\u5b8c\u6574\u4ee3\u7801\u6258\u7ba1\u5728 GitHub \u4ed3\u5e93 \uff0c\u7686\u53ef\u4e00\u952e\u8fd0\u884c\u3002</p> <p>\u524d\u7f6e\u5de5\u4f5c</p> <ol> <li>\u7f16\u7a0b\u73af\u5883\u5b89\u88c5 \uff0c\u82e5\u6709\u8bf7\u8df3\u8fc7</li> <li>\u4ee3\u7801\u4e0b\u8f7d\u4e0e\u4f7f\u7528\u65b9\u6cd5\u8bf7\u89c1 \u5982\u4f55\u4f7f\u7528\u672c\u4e66</li> </ol>"},{"location":"chapter_preface/about_the_book/#014","title":"0.1.4. \u98ce\u683c\u7ea6\u5b9a","text":"<ul> <li>\u6807\u9898\u540e\u6807\u6ce8 * \u7b26\u53f7\u7684\u662f\u9009\u8bfb\u7ae0\u8282\uff0c\u5982\u679c\u4f60\u7684\u65f6\u95f4\u6709\u9650\uff0c\u53ef\u4ee5\u5148\u8df3\u8fc7\u8fd9\u4e9b\u7ae0\u8282\u3002</li> <li>\u6587\u7ae0\u4e2d\u7684\u91cd\u8981\u540d\u8bcd\u4f1a\u7528\u300c\u300d\u7b26\u53f7\u6807\u6ce8\uff0c\u4f8b\u5982\u300c\u6570\u7ec4 Array\u300d\u3002\u540d\u8bcd\u6df7\u6dc6\u4f1a\u5bfc\u81f4\u4e0d\u5fc5\u8981\u7684\u6b67\u4e49\uff0c\u56e0\u6b64\u6700\u597d\u53ef\u4ee5\u8bb0\u4f4f\u8fd9\u7c7b\u540d\u8bcd\uff08\u5305\u62ec\u4e2d\u6587\u548c\u82f1\u6587\uff09\uff0c\u4ee5\u4fbf\u540e\u7eed\u9605\u8bfb\u6587\u732e\u65f6\u4f7f\u7528\u3002</li> <li>\u91cd\u70b9\u5185\u5bb9\u3001\u603b\u8d77\u53e5\u3001\u603b\u7ed3\u53e5\u4f1a\u88ab \u52a0\u7c97\uff0c\u6b64\u7c7b\u6587\u5b57\u503c\u5f97\u7279\u522b\u5173\u6ce8\u3002</li> <li>\u4e13\u6709\u540d\u8bcd\u548c\u6709\u7279\u6307\u542b\u4e49\u7684\u8bcd\u53e5\u4f1a\u4f7f\u7528 \u201c \u201d \u6807\u6ce8\uff0c\u4ee5\u907f\u514d\u6b67\u4e49\u3002</li> <li>\u5728\u5de5\u7a0b\u5e94\u7528\u4e2d\uff0c\u6bcf\u79cd\u8bed\u8a00\u90fd\u6709\u6ce8\u91ca\u89c4\u8303\uff1b\u800c\u672c\u4e66\u653e\u5f03\u4e86\u4e00\u90e8\u5206\u7684\u6ce8\u91ca\u89c4\u8303\u6027\uff0c\u4ee5\u6362\u53d6\u66f4\u52a0\u7d27\u51d1\u7684\u5185\u5bb9\u6392\u7248\u3002\u6ce8\u91ca\u4e3b\u8981\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff1a\u6807\u9898\u6ce8\u91ca\u3001\u5185\u5bb9\u6ce8\u91ca\u3001\u591a\u884c\u6ce8\u91ca\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>\"\"\" \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 \"\"\"\n# \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n\"\"\"\n\u591a\u884c\n\u6ce8\u91ca\n\"\"\"\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>// \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n// \u591a\u884c\n// \u6ce8\u91ca\n</code></pre>"},{"location":"chapter_preface/about_the_book/#015","title":"0.1.5. \u672c\u4e66\u7279\u70b9 *","text":"\u9ed8\u8ba4\u6298\u53e0\uff0c\u53ef\u4ee5\u8df3\u8fc7 <p>\u4ee5\u5b9e\u8df5\u4e3a\u4e3b\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5b66\u4e60\u82f1\u8bed\u671f\u95f4\u5149\u5543\u4e66\u672c\u662f\u8fdc\u8fdc\u4e0d\u591f\u7684\uff0c\u9700\u8981\u591a\u542c\u3001\u591a\u8bf4\u3001\u591a\u5199\uff0c\u5728\u5b9e\u8df5\u4e2d\u57f9\u517b\u8bed\u611f\u3001\u79ef\u7d2f\u7ecf\u9a8c\u3002\u7f16\u7a0b\u8bed\u8a00\u4e5f\u662f\u4e00\u95e8\u8bed\u8a00\uff0c\u56e0\u6b64\u5b66\u4e60\u65b9\u6cd5\u4e5f\u5e94\u662f\u7c7b\u4f3c\u7684\uff0c\u9700\u8981\u591a\u770b\u4f18\u79c0\u4ee3\u7801\u3001\u591a\u6572\u952e\u76d8\u3001\u591a\u601d\u8003\u4ee3\u7801\u903b\u8f91\u3002</p> <p>\u672c\u4e66\u7684\u7406\u8bba\u90e8\u5206\u5360\u5c11\u91cf\u7bc7\u5e45\uff0c\u4e3b\u8981\u5206\u4e3a\u4e24\u7c7b\uff1a\u4e00\u662f\u57fa\u7840\u4e14\u5fc5\u8981\u7684\u6982\u5ff5\u77e5\u8bc6\uff0c\u4ee5\u57f9\u517b\u8bfb\u8005\u5bf9\u4e8e\u7b97\u6cd5\u7684\u611f\u6027\u8ba4\u8bc6\uff1b\u4e8c\u662f\u91cd\u8981\u7684\u5206\u7c7b\u3001\u5bf9\u6bd4\u6216\u603b\u7ed3\uff0c\u8fd9\u662f\u4e3a\u4e86\u5e2e\u52a9\u4f60\u7ad9\u5728\u66f4\u9ad8\u89c6\u89d2\u4fef\u77b0\u5404\u4e2a\u77e5\u8bc6\u70b9\uff0c\u5f62\u6210\u8fde\u70b9\u6210\u9762\u7684\u6548\u679c\u3002</p> <p>\u5b9e\u8df5\u90e8\u5206\u4e3b\u8981\u7531\u793a\u4f8b\u548c\u4ee3\u7801\u7ec4\u6210\u3002\u4ee3\u7801\u914d\u6709\u7b80\u8981\u6ce8\u91ca\uff0c\u590d\u6742\u793a\u4f8b\u4f1a\u5c3d\u53ef\u80fd\u5730\u4f7f\u7528\u89c6\u89c9\u5316\u7684\u5f62\u5f0f\u5448\u73b0\u3002\u6211\u5f3a\u70c8\u5efa\u8bae\u8bfb\u8005\u5bf9\u7167\u7740\u4ee3\u7801\u81ea\u5df1\u6572\u4e00\u904d\uff0c\u5982\u679c\u65f6\u95f4\u6709\u9650\uff0c\u4e5f\u81f3\u5c11\u9010\u884c\u8bfb\u3001\u590d\u5236\u5e76\u8fd0\u884c\u4e00\u904d\uff0c\u914d\u5408\u7740\u8bb2\u89e3\u5c06\u4ee3\u7801\u5403\u900f\u3002</p> <p>\u89c6\u89c9\u5316\u5b66\u4e60\u3002\u4fe1\u606f\u65f6\u4ee3\u4ee5\u6765\uff0c\u89c6\u89c9\u5316\u7684\u811a\u6b65\u4ece\u672a\u505c\u6b62\u3002\u5a92\u4f53\u5f62\u5f0f\u7ecf\u5386\u4e86\u6587\u5b57\u77ed\u4fe1\u3001\u56fe\u6587 Email \u3001\u52a8\u56fe\u3001\u77ed\uff08\u957f\uff09\u89c6\u9891\u3001\u4ea4\u4e92\u5f0f Web \u30013D \u6e38\u620f\u7b49\u6f14\u53d8\u8fc7\u7a0b\uff0c\u4fe1\u606f\u7684\u89c6\u89c9\u5316\u7a0b\u5ea6\u8d8a\u6765\u8d8a\u9ad8\u3001\u6108\u52a0\u7b26\u5408\u4eba\u7c7b\u611f\u5b98\u3001\u4fe1\u606f\u4f20\u64ad\u6548\u7387\u5927\u5927\u63d0\u5347\u3002\u79d1\u6280\u754c\u4e5f\u5728\u5411\u89c6\u89c9\u5316\u8fc8\u8fdb\uff0ciPhone \u5c31\u662f\u4e00\u4e2a\u5178\u578b\u4f8b\u5b50\uff0c\u5176\u76f8\u5bf9\u4e8e\u4f20\u7edf\u624b\u673a\u662f\u9ad8\u5ea6\u89c6\u89c9\u5316\u7684\uff0c\u5305\u542b\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u5b57\u4f53\u3001\u4e3b\u9898\u914d\u8272\u3001\u4ea4\u4e92\u52a8\u753b\u7b49\u3002</p> <p>\u8fd1\u4e24\u5e74\uff0c\u77ed\u89c6\u9891\u6210\u4e3a\u6700\u53d7\u6b22\u8fce\u7684\u4fe1\u606f\u5a92\u4ecb\uff0c\u53ef\u4ee5\u5728\u77ed\u65f6\u95f4\u5185\u5c06\u9ad8\u5bc6\u5ea6\u7684\u4fe1\u606f\u201c\u704c\u201d\u7ed9\u6211\u4eec\uff0c\u6709\u7740\u6781\u5176\u8212\u9002\u7684\u89c2\u770b\u4f53\u9a8c\u3002\u9605\u8bfb\u5219\u4e0d\u7136\uff0c\u8bfb\u8005\u4e0e\u4e66\u672c\u4e4b\u95f4\u5929\u7136\u5b58\u5728\u4e00\u79cd\u201c\u758f\u79bb\u611f\u201d\uff0c\u6211\u4eec\u770b\u4e66\u4f1a\u7d2f\u3001\u4f1a\u8d70\u795e\u3001\u4f1a\u505c\u4e0b\u6765\u60f3\u5176\u4ed6\u4e8b\u3001\u4f1a\u5212\u4e0b\u559c\u6b22\u7684\u53e5\u5b50\u3001\u4f1a\u601d\u8003\u67d0\u4e00\u7247\u6bb5\u7684\u542b\u4e49\uff0c\u8fd9\u79cd\u758f\u79bb\u611f\u7ed9\u4e86\u8bfb\u8005\u4e0e\u4e66\u672c\u4e4b\u95f4\u5bf9\u8bdd\u7684\u53ef\u80fd\uff0c\u62d3\u5bbd\u4e86\u60f3\u8c61\u7a7a\u95f4\u3002</p> <p>\u672c\u4e66\u4f5c\u4e3a\u4e00\u672c\u5165\u95e8\u6559\u6750\uff0c\u5e0c\u671b\u53ef\u4ee5\u4fdd\u6709\u4e66\u672c\u7684\u201c\u6162\u8282\u594f\u201d\uff0c\u4f46\u4e5f\u4f1a\u907f\u514d\u4e0e\u8bfb\u8005\u4ea7\u751f\u8fc7\u591a\u201c\u758f\u79bb\u611f\u201d\uff0c\u800c\u662f\u52aa\u529b\u5c06\u77e5\u8bc6\u5b8c\u6574\u6e05\u6670\u5730\u63a8\u9001\u5230\u4f60\u806a\u660e\u7684\u5c0f\u8111\u888b\u74dc\u4e2d\u3002\u6211\u5c06\u91c7\u7528\u89c6\u89c9\u5316\u7684\u65b9\u5f0f\uff08\u4f8b\u5982\u914d\u56fe\u3001\u52a8\u753b\uff09\uff0c\u5c3d\u6211\u53ef\u80fd\u6e05\u6670\u6613\u61c2\u5730\u8bb2\u89e3\u590d\u6742\u6982\u5ff5\u548c\u62bd\u8c61\u793a\u4f8b\u3002</p> <p>\u5185\u5bb9\u7cbe\u7b80\u5316\u3002\u5927\u591a\u6570\u7684\u7ecf\u5178\u6559\u79d1\u4e66\uff0c\u4f1a\u628a\u6bcf\u4e2a\u4e3b\u9898\u90fd\u8bb2\u7684\u5f88\u900f\u5f7b\u3002\u867d\u7136\u900f\u5f7b\u6027\u6b63\u662f\u5176\u83b7\u5f97\u8bfb\u8005\u9752\u7750\u7684\u539f\u56e0\uff0c\u4f46\u5bf9\u4e8e\u60f3\u8981\u5feb\u901f\u5165\u95e8\u7684\u521d\u5b66\u8005\u6765\u8bf4\uff0c\u8fd9\u4e9b\u6559\u6750\u7684\u5b9e\u7528\u6027\u4e0d\u8db3\u3002\u672c\u4e66\u4f1a\u907f\u514d\u5f15\u5165\u975e\u5fc5\u8981\u7684\u6982\u5ff5\u3001\u540d\u8bcd\u3001\u5b9a\u4e49\u7b49\uff0c\u4e5f\u907f\u514d\u5c55\u5f00\u4e0d\u5fc5\u8981\u7684\u7406\u8bba\u5206\u6790\uff0c\u6bd5\u7adf\u8fd9\u4e0d\u662f\u4e00\u672c\u771f\u6b63\u610f\u4e49\u4e0a\u7684\u6559\u6750\uff0c\u4e3b\u8981\u4efb\u52a1\u662f\u5c3d\u5feb\u5730\u5e26\u9886\u8bfb\u8005\u5165\u95e8\u3002</p> <p>\u5f15\u5165\u4e00\u4e9b\u751f\u6d3b\u6848\u4f8b\u6216\u8da3\u5473\u5185\u5bb9\uff0c\u975e\u5e38\u9002\u5408\u4f5c\u4e3a\u77e5\u8bc6\u70b9\u7684\u5f15\u5b50\u6216\u8005\u89e3\u91ca\u7684\u8865\u5145\uff0c\u4f46\u5f53\u878d\u5165\u8fc7\u591a\u989d\u5916\u5143\u7d20\u65f6\uff0c\u5185\u5bb9\u4f1a\u7a0d\u663e\u5197\u957f\uff0c\u4e5f\u8bb8\u53cd\u800c\u4f7f\u8bfb\u8005\u5bb9\u6613\u8ff7\u5931\u3001\u6293\u4e0d\u4f4f\u91cd\u70b9\uff0c\u8fd9\u4e5f\u662f\u672c\u4e66\u9700\u8981\u907f\u514d\u7684\u3002</p> <p>\u6572\u4ee3\u7801\u5982\u540c\u5199\u5b57\uff0c\u201c\u7f8e\u201d\u662f\u7edf\u4e00\u7684\u8ffd\u6c42\u3002\u672c\u4e66\u529b\u6c42\u7f8e\u89c2\u7684\u4ee3\u7801\uff0c\u4fdd\u8bc1\u89c4\u8303\u7684\u53d8\u91cf\u547d\u540d\u3001\u7edf\u4e00\u7684\u7a7a\u683c\u4e0e\u6362\u884c\u3001\u5bf9\u9f50\u7684\u7f29\u8fdb\u3001\u6574\u9f50\u7684\u6ce8\u91ca\u7b49\u3002</p>"},{"location":"chapter_preface/about_the_book/#016","title":"0.1.6. \u81f4\u8c22","text":"<p>\u672c\u4e66\u7684\u6210\u4e66\u8fc7\u7a0b\u4e2d\uff0c\u6211\u83b7\u5f97\u4e86\u8bb8\u591a\u4eba\u7684\u5e2e\u52a9\uff0c\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\uff1a</p> <ul> <li>\u611f\u8c22\u6211\u7684\u5973\u670b\u53cb\u6ce1\u6ce1\u62c5\u4efb\u672c\u4e66\u7684\u9996\u4f4d\u8bfb\u8005\uff0c\u4ece\u7b97\u6cd5\u5c0f\u767d\u7684\u89c6\u89d2\u4e3a\u672c\u4e66\u7684\u5199\u4f5c\u63d0\u51fa\u4e86\u8bb8\u591a\u5efa\u8bae\uff0c\u4f7f\u8fd9\u672c\u4e66\u66f4\u52a0\u9002\u5408\u7b97\u6cd5\u521d\u5b66\u8005\u6765\u9605\u8bfb\u3002</li> <li>\u611f\u8c22\u817e\u5b9d\u3001\u7426\u5b9d\u3001\u98de\u5b9d\u4e3a\u672c\u4e66\u8d77\u4e86\u4e2a\u54cd\u5f53\u5f53\u7684\u540d\u5b57\uff0c\u597d\u542c\u53c8\u6709\u6897\uff0c\u76f4\u63a5\u5524\u8d77\u6211\u6700\u521d\u6572\u4e0b\u7b2c\u4e00\u884c\u4ee3\u7801 \"Hello, World!\" \u7684\u56de\u5fc6\u3002</li> <li>\u611f\u8c22\u6211\u7684\u5bfc\u5e08\u674e\u535a\uff0c\u5728\u5c0f\u914c\u7545\u8c08\u65f6\u60a8\u544a\u8bc9\u6211\u201c\u89c9\u5f97\u5e94\u8be5\u505a\u5c31\u53bb\u505a\u201d\uff0c\u575a\u5b9a\u4e86\u6211\u5199\u8fd9\u672c\u4e66\u7684\u51b3\u5fc3\u3002</li> <li>\u611f\u8c22\u82cf\u6f7c\u4e3a\u672c\u4e66\u8bbe\u8ba1\u4e86\u5c01\u9762\u548c LOGO \uff0c\u6211\u6709\u4e9b\u5f3a\u8feb\u75c7\uff0c\u524d\u540e\u591a\u6b21\u4fee\u6539\uff0c\u8c22\u8c22\u4f60\u7684\u8010\u5fc3\u3002</li> <li>\u611f\u8c22 @squidfunk \u7ed9\u51fa\u7684\u5199\u4f5c\u6392\u7248\u5efa\u8bae\uff0c\u4ee5\u53ca\u4f18\u79c0\u5f00\u6e90\u9879\u76ee Material-for-MkDocs \u3002</li> </ul> <p>\u672c\u4e66\u9f13\u52b1\u201c\u624b\u8111\u5e76\u7528\u201d\u7684\u5b66\u4e60\u65b9\u5f0f\uff0c\u5728\u8fd9\u70b9\u4e0a\u53d7\u5230\u4e86\u300a\u52a8\u624b\u5b66\u6df1\u5ea6\u5b66\u4e60\u300b\u5f88\u5927\u5f71\u54cd\uff0c\u4e5f\u5728\u6b64\u5411\u5404\u4f4d\u540c\u5b66\u5f3a\u70c8\u63a8\u8350\u8fd9\u672c\u8457\u4f5c\uff0c\u5305\u62ec\u4e2d\u6587\u7248\u3001\u82f1\u6587\u7248\u3001\u674e\u6c90\u8001\u5e08 bilibili \u4e3b\u9875\u3002</p> <p>\u5728\u5199\u4f5c\u8fc7\u7a0b\u4e2d\uff0c\u6211\u9605\u8bfb\u4e86\u8bb8\u591a\u4e0e\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u4e66\u7c4d\u4e0e\u6559\u6750\uff0c\u8fd9\u4e9b\u8457\u4f5c\u4e3a\u672c\u4e66\u4f5c\u51fa\u4e86\u5f88\u597d\u7684\u699c\u6837\uff0c\u4fdd\u8bc1\u4e86\u672c\u4e66\u5185\u5bb9\u7684\u6b63\u786e\u6027\u4e0e\u8d28\u91cf\uff0c\u611f\u8c22\u524d\u8f88\u4eec\u7684\u7cbe\u5f69\u521b\u4f5c\uff01</p> <p>\u611f\u8c22\u7236\u6bcd\uff0c\u4f60\u4eec\u4e00\u8d2f\u7684\u652f\u6301\u4e0e\u9f13\u52b1\u7ed9\u4e86\u6211\u81ea\u7531\u5ea6\u6765\u505a\u8fd9\u4e9b\u6709\u8da3\u7684\u4e8b\u3002</p>"},{"location":"chapter_preface/about_the_book/#017","title":"0.1.7. \u4f5c\u8005\u7b80\u4ecb Krahets","text":"\u5927\u5382\u9ad8\u7ea7\u7b97\u6cd5\u5de5\u7a0b\u5e08\u3001\u7b97\u6cd5\u7231\u597d\u8005  <p> \u529b\u6263\uff08LeetCode\uff09\u5168\u7f51\u9605\u8bfb\u91cf\u6700\u9ad8\u535a\u4e3b </p> <p> \u5206\u4eab\u8fd1\u767e\u9053\u7b97\u6cd5\u9898\u89e3\uff0c\u7d2f\u79ef\u56de\u590d\u6570\u5343\u8bfb\u8005\u7684\u95ee\u9898 </p> <p> \u53d1\u8868\u7684 LeetBook\u300a\u56fe\u89e3\u7b97\u6cd5\u6570\u636e\u7ed3\u6784\u300b\u5df2\u8ba2\u9605 22 \u4e07\u672c </p>"},{"location":"chapter_preface/contribution/","title":"0.4. \u4e00\u8d77\u53c2\u4e0e\u521b\u4f5c","text":"<p>\u5f00\u6e90\u7684\u9b45\u529b</p> <p>\u7eb8\u8d28\u4e66\u7c4d\u7684\u4e24\u6b21\u5370\u5237\u7684\u95f4\u9694\u65f6\u95f4\u5f80\u5f80\u9700\u8981\u6570\u5e74\uff0c\u5185\u5bb9\u66f4\u65b0\u975e\u5e38\u4e0d\u65b9\u4fbf\u3002\u4f46\u5728\u672c\u5f00\u6e90 HTML \u4e66\u4e2d\uff0c\u5185\u5bb9\u66f4\u8fed\u7684\u65f6\u95f4\u88ab\u7f29\u77ed\u81f3\u6570\u65e5\u751a\u81f3\u51e0\u4e2a\u5c0f\u65f6\u3002</p> <p>\u7531\u4e8e\u4f5c\u8005\u6c34\u5e73\u6709\u9650\uff0c\u4e66\u4e2d\u5185\u5bb9\u96be\u514d\u758f\u6f0f\u8c2c\u8bef\uff0c\u8bf7\u60a8\u8c05\u89e3\u3002\u6b64\u5916\uff0c\u671f\u5f85\u60a8\u53ef\u4ee5\u4e00\u540c\u53c2\u4e0e\u672c\u4e66\u7684\u521b\u4f5c\u3002\u5982\u679c\u53d1\u73b0\u7b14\u8bef\u3001\u65e0\u6548\u94fe\u63a5\u3001\u5185\u5bb9\u7f3a\u5931\u3001\u6587\u5b57\u6b67\u4e49\u3001\u89e3\u91ca\u4e0d\u6e05\u6670\u3001\u884c\u6587\u7ed3\u6784\u4e0d\u5408\u7406\u7b49\u95ee\u9898\uff0c\u70e6\u8bf7\u60a8\u4fee\u6b63\u5185\u5bb9\uff0c\u4ee5\u5e2e\u52a9\u5176\u4ed6\u8bfb\u8005\u83b7\u53d6\u66f4\u4f18\u8d28\u7684\u5b66\u4e60\u5185\u5bb9\u3002\u6240\u6709 \u64b0\u7a3f\u4eba \u5c06\u88ab\u5c55\u793a\u5728\u4ed3\u5e93\u4e3b\u9875\uff0c\u4ee5\u611f\u8c22\u60a8\u5bf9\u5f00\u6e90\u793e\u533a\u7684\u65e0\u79c1\u5949\u732e\u3002</p>"},{"location":"chapter_preface/contribution/#041","title":"0.4.1. \u4fee\u6539\u6587\u5b57\u4e0e\u4ee3\u7801","text":"<p>\u6bcf\u4e2a\u9875\u9762\u7684\u53f3\u4e0a\u89d2\u90fd\u6709\u4e00\u4e2a\u300c\u7f16\u8f91\u300d\u6309\u94ae\uff0c\u4f60\u53ef\u4ee5\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u4fee\u6539\u6587\u7ae0\uff1a</p> <ol> <li>\u70b9\u51fb\u7f16\u8f91\u6309\u94ae\uff0c\u5982\u679c\u9047\u5230\u63d0\u793a\u201c\u9700\u8981 Fork \u6b64\u4ed3\u5e93\u201d\uff0c\u8bf7\u901a\u8fc7\uff1b</li> <li>\u4fee\u6539 Markdown \u6e90\u6587\u4ef6\u5185\u5bb9\uff1b</li> <li>\u5728\u9875\u9762\u5e95\u90e8\u586b\u5199\u66f4\u6539\u8bf4\u660e\uff0c\u7136\u540e\u5355\u51fb\u201cPropose file change\u201d\u6309\u94ae\uff1b</li> <li>\u9875\u9762\u8df3\u8f6c\u540e\uff0c\u70b9\u51fb\u201cCreate pull request\u201d\u6309\u94ae\u53d1\u8d77\u62c9\u53d6\u8bf7\u6c42\u5373\u53ef\uff0c\u6211\u4f1a\u7b2c\u4e00\u65f6\u95f4\u67e5\u770b\u5904\u7406\u5e76\u53ca\u65f6\u66f4\u65b0\u5185\u5bb9\u3002</li> </ol> <p></p>"},{"location":"chapter_preface/contribution/#042","title":"0.4.2. \u4fee\u6539\u56fe\u7247\u4e0e\u52a8\u753b","text":"<p>\u4e66\u4e2d\u7684\u914d\u56fe\u65e0\u6cd5\u76f4\u63a5\u4fee\u6539\uff0c\u9700\u8981\u901a\u8fc7\u4ee5\u4e0b\u9014\u5f84\u63d0\u51fa\u4fee\u6539\u610f\u89c1\uff1a</p> <ol> <li>\u65b0\u5efa\u4e00\u4e2a Issue \uff0c\u5c06\u9700\u8981\u4fee\u6539\u7684\u56fe\u7247\u590d\u5236\u6216\u622a\u56fe\uff0c\u7c98\u8d34\u5728\u9762\u677f\u4e2d\uff1b</li> <li>\u63cf\u8ff0\u56fe\u7247\u95ee\u9898\uff0c\u5e94\u5982\u4f55\u4fee\u6539\uff1b</li> <li>\u63d0\u4ea4 Issue \u5373\u53ef\uff0c\u6211\u4f1a\u7b2c\u4e00\u65f6\u95f4\u91cd\u65b0\u753b\u56fe\u5e76\u66ff\u6362\u56fe\u7247\u3002</li> </ol>"},{"location":"chapter_preface/contribution/#043","title":"0.4.3. \u521b\u4f5c\u65b0\u5185\u5bb9","text":"<p>\u5982\u679c\u60a8\u60f3\u8981\u521b\u4f5c\u65b0\u5185\u5bb9\uff0c\u4f8b\u5982 \u91cd\u5199\u7ae0\u8282\u3001\u65b0\u589e\u7ae0\u8282\u3001\u4fee\u6539\u4ee3\u7801\u3001\u7ffb\u8bd1\u4ee3\u7801\u81f3\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00 \u7b49\uff0c\u90a3\u4e48\u9700\u8981\u5b9e\u65bd Pull Request \u5de5\u4f5c\u6d41\u7a0b\uff1a</p> <ol> <li>\u767b\u5f55 GitHub \uff0c\u5e76 Fork \u672c\u4ed3\u5e93 \u81f3\u4e2a\u4eba\u8d26\u53f7\uff1b</li> <li>\u8fdb\u5165 Fork \u4ed3\u5e93\u7f51\u9875\uff0c\u4f7f\u7528 <code>git clone</code> \u514b\u9686\u8be5\u4ed3\u5e93\u81f3\u672c\u5730\uff1b</li> <li>\u5728\u672c\u5730\u8fdb\u884c\u5185\u5bb9\u521b\u4f5c\uff08\u5efa\u8bae\u901a\u8fc7\u8fd0\u884c\u6d4b\u8bd5\u6765\u9a8c\u8bc1\u4ee3\u7801\u6b63\u786e\u6027\uff09\uff1b</li> <li>\u5c06\u672c\u5730\u66f4\u6539 Commit \uff0c\u5e76 Push \u81f3\u8fdc\u7a0b\u4ed3\u5e93\uff1b</li> <li>\u5237\u65b0\u4ed3\u5e93\u7f51\u9875\uff0c\u70b9\u51fb\u201cCreate pull request\u201d\u6309\u94ae\u53d1\u8d77\u62c9\u53d6\u8bf7\u6c42\uff08Pull Request\uff09\u5373\u53ef\uff1b</li> </ol> <p>\u975e\u5e38\u6b22\u8fce\u60a8\u548c\u6211\u4e00\u540c\u6765\u521b\u4f5c\u672c\u4e66\uff01</p>"},{"location":"chapter_preface/contribution/#044-hello-algo","title":"0.4.4. \u672c\u5730\u90e8\u7f72 hello-algo","text":""},{"location":"chapter_preface/contribution/#docker","title":"Docker","text":"<p>\u8bf7\u786e\u4fdd Docker \u5df2\u7ecf\u5b89\u88c5\u5e76\u542f\u52a8\uff0c\u5e76\u6839\u636e\u5982\u4e0b\u547d\u4ee4\u79bb\u7ebf\u90e8\u7f72\u3002</p> <p>\u7a0d\u7b49\u7247\u523b\uff0c\u5373\u53ef\u4f7f\u7528\u6d4f\u89c8\u5668\u6253\u5f00 <code>http://localhost:8000</code> \u8bbf\u95ee\u672c\u9879\u76ee\u3002</p> <pre><code>git clone https://github.com/krahets/hello-algo.git\ncd hello-algo\n\ndocker-compose up -d\n</code></pre> <p>\u4f7f\u7528\u5982\u4e0b\u547d\u4ee4\u5373\u53ef\u5220\u9664\u90e8\u7f72\u3002</p> <pre><code>docker-compose down\n</code></pre> <p>\uff08TODO\uff1a\u6559\u5b66\u89c6\u9891\uff09</p>"},{"location":"chapter_preface/installation/","title":"0.3. \u7f16\u7a0b\u73af\u5883\u5b89\u88c5","text":"<p>\uff08TODO \u89c6\u9891\u6559\u7a0b\uff09</p>"},{"location":"chapter_preface/installation/#031-vscode","title":"0.3.1. \u5b89\u88c5 VSCode","text":"<p>\u672c\u4e66\u63a8\u8350\u4f7f\u7528\u5f00\u6e90\u8f7b\u91cf\u7684 VSCode \u4f5c\u4e3a\u672c\u5730 IDE \uff0c\u4e0b\u8f7d\u5e76\u5b89\u88c5 VSCode \u3002</p>"},{"location":"chapter_preface/installation/#032-java","title":"0.3.2. Java \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 OpenJDK\uff08\u7248\u672c\u9700\u6ee1\u8db3 &gt; JDK 9\uff09\u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>java</code> \uff0c\u5b89\u88c5 Java Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#033-cc","title":"0.3.3. C/C++ \u73af\u5883","text":"<ol> <li>Windows \u7cfb\u7edf\u9700\u8981\u5b89\u88c5 MinGW\uff08\u914d\u7f6e\u6559\u7a0b\uff09\uff0cMacOS \u81ea\u5e26 Clang \u65e0\u9700\u5b89\u88c5\u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>c++</code> \uff0c\u5b89\u88c5 C/C++ Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#034-python","title":"0.3.4. Python \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Miniconda3 \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>python</code> \uff0c\u5b89\u88c5 Python Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#035-go","title":"0.3.5. Go \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 go \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>go</code> \uff0c\u5b89\u88c5 Go \u3002</li> <li>\u5feb\u6377\u952e <code>Ctrl + Shift + P</code> \u547c\u51fa\u547d\u4ee4\u680f\uff0c\u8f93\u5165 go \uff0c\u9009\u62e9 <code>Go: Install/Update Tools</code> \uff0c\u5168\u90e8\u52fe\u9009\u5e76\u5b89\u88c5\u5373\u53ef\u3002</li> </ol>"},{"location":"chapter_preface/installation/#036-javascript","title":"0.3.6. JavaScript \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 node.js \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>javascript</code> \uff0c\u5b89\u88c5 JavaScript (ES6) code snippets \u3002</li> </ol>"},{"location":"chapter_preface/installation/#037-c","title":"0.3.7. C# \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 .Net 6.0 \uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>c#</code> \uff0c\u5b89\u88c5 c# \u3002</li> </ol>"},{"location":"chapter_preface/installation/#038-swift","title":"0.3.8. Swift \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Swift\uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>swift</code>\uff0c\u5b89\u88c5 Swift for Visual Studio Code\u3002</li> </ol>"},{"location":"chapter_preface/installation/#039-rust","title":"0.3.9. Rust \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Rust\uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>rust</code>\uff0c\u5b89\u88c5 rust-analyzer\u3002</li> </ol>"},{"location":"chapter_preface/suggestions/","title":"0.2. \u5982\u4f55\u4f7f\u7528\u672c\u4e66","text":""},{"location":"chapter_preface/suggestions/#021","title":"0.2.1. \u56fe\u6587\u642d\u914d\u5b66","text":"<p>\u89c6\u9891\u548c\u56fe\u7247\u76f8\u6bd4\u4e8e\u6587\u5b57\u7684\u4fe1\u606f\u5bc6\u5ea6\u548c\u7ed3\u6784\u5316\u7a0b\u5ea6\u66f4\u9ad8\uff0c\u66f4\u5bb9\u6613\u8ba9\u4eba\u7406\u89e3\u3002\u5728\u672c\u4e66\u4e2d\uff0c\u91cd\u70b9\u548c\u96be\u70b9\u77e5\u8bc6\u4f1a\u4e3b\u8981\u4ee5\u52a8\u753b\u3001\u56fe\u89e3\u7684\u5f62\u5f0f\u5448\u73b0\uff0c\u800c\u6587\u5b57\u7684\u4f5c\u7528\u5219\u662f\u4f5c\u4e3a\u52a8\u753b\u548c\u56fe\u7684\u89e3\u91ca\u4e0e\u8865\u5145\u3002</p> <p>\u5728\u9605\u8bfb\u672c\u4e66\u7684\u8fc7\u7a0b\u4e2d\uff0c\u82e5\u53d1\u73b0\u67d0\u6bb5\u5185\u5bb9\u63d0\u4f9b\u4e86\u52a8\u753b\u6216\u56fe\u89e3\uff0c\u5efa\u8bae\u4f60\u4ee5\u56fe\u4e3a\u4e3b\u7ebf\uff0c\u5c06\u6587\u5b57\u5185\u5bb9\uff08\u4e00\u822c\u5728\u56fe\u7684\u4e0a\u65b9\uff09\u5bf9\u9f50\u5230\u56fe\u4e2d\u5185\u5bb9\uff0c\u7efc\u5408\u6765\u7406\u89e3\u3002</p> <p></p>"},{"location":"chapter_preface/suggestions/#022","title":"0.2.2. \u4ee3\u7801\u5b9e\u8df5\u5b66","text":"<p>\u524d\u7f6e\u5de5\u4f5c</p> <p>\u5982\u679c\u6ca1\u6709\u672c\u5730\u7f16\u7a0b\u73af\u5883\uff0c\u53ef\u4ee5\u53c2\u7167\u4e0b\u8282 \u7f16\u7a0b\u73af\u5883\u5b89\u88c5 \u3002</p>"},{"location":"chapter_preface/suggestions/#_1","title":"\u4e0b\u8f7d\u4ee3\u7801\u4ed3","text":"<p>\u5982\u679c\u5df2\u7ecf\u5b89\u88c5 Git \uff0c\u53ef\u4ee5\u901a\u8fc7\u547d\u4ee4\u884c\u6765\u514b\u9686\u4ee3\u7801\u4ed3\u3002</p> <pre><code>git clone https://github.com/krahets/hello-algo.git\n</code></pre> <p>\u5f53\u7136\uff0c\u4f60\u4e5f\u53ef\u4ee5\u70b9\u51fb\u201cDownload ZIP\u201d\u76f4\u63a5\u4e0b\u8f7d\u4ee3\u7801\u538b\u7f29\u5305\uff0c\u89e3\u538b\u5373\u53ef\u3002</p> <p></p>"},{"location":"chapter_preface/suggestions/#_2","title":"\u8fd0\u884c\u6e90\u4ee3\u7801","text":"<p>\u672c\u4e66\u63d0\u4f9b\u914d\u5957 Java, C++, Python \u4ee3\u7801\u4ed3\uff08\u540e\u7eed\u53ef\u80fd\u62d3\u5c55\u652f\u6301\u8bed\u8a00\uff09\u3002\u4e66\u4e2d\u7684\u4ee3\u7801\u680f\u4e0a\u82e5\u6807\u6709 <code>*.java</code> , <code>*.cpp</code> , <code>*.py</code> \uff0c\u5219\u53ef\u5728\u4ed3\u5e93 codes \u6587\u4ef6\u5939\u4e2d\u627e\u5230\u5bf9\u5e94\u7684 \u4ee3\u7801\u6e90\u6587\u4ef6\u3002</p> <p></p> <p>\u8fd9\u4e9b\u6e90\u6587\u4ef6\u4e2d\u5305\u542b\u8be6\u7ec6\u6ce8\u91ca\uff0c\u914d\u6709\u6d4b\u8bd5\u6837\u4f8b\uff0c\u53ef\u4ee5\u76f4\u63a5\u8fd0\u884c\uff0c\u5e2e\u52a9\u4f60\u7701\u53bb\u4e0d\u5fc5\u8981\u7684\u8c03\u8bd5\u65f6\u95f4\uff0c\u53ef\u4ee5\u5c06\u7cbe\u529b\u96c6\u4e2d\u5728\u5b66\u4e60\u5185\u5bb9\u4e0a\u3002</p> <p></p> <p>\u4ee3\u7801\u5b66\u4e60\u5efa\u8bae</p> <p>\u82e5\u5b66\u4e60\u65f6\u95f4\u7d27\u5f20\uff0c\u8bf7\u81f3\u5c11\u5c06\u6240\u6709\u4ee3\u7801\u901a\u8bfb\u5e76\u8fd0\u884c\u4e00\u904d\u3002\u82e5\u65f6\u95f4\u5141\u8bb8\uff0c\u5f3a\u70c8\u5efa\u8bae\u5bf9\u7167\u7740\u4ee3\u7801\u81ea\u5df1\u6572\u4e00\u904d\uff0c\u9010\u6e10\u953b\u70bc\u808c\u8089\u8bb0\u5fc6\u3002\u76f8\u6bd4\u4e8e\u8bfb\u4ee3\u7801\uff0c\u5199\u4ee3\u7801\u7684\u8fc7\u7a0b\u5f80\u5f80\u80fd\u5e26\u6765\u65b0\u7684\u6536\u83b7\u3002</p>"},{"location":"chapter_preface/suggestions/#023","title":"0.2.3. \u63d0\u95ee\u8ba8\u8bba\u5b66","text":"<p>\u9605\u8bfb\u672c\u4e66\u65f6\uff0c\u8bf7\u4e0d\u8981\u201c\u60ef\u7740\u201d\u90a3\u4e9b\u5f04\u4e0d\u660e\u767d\u7684\u77e5\u8bc6\u70b9\u3002\u5982\u679c\u6709\u4efb\u4f55\u7591\u60d1\uff0c\u53ef\u4ee5\u5728\u8bc4\u8bba\u533a\u7559\u4e0b\u4f60\u7684\u95ee\u9898\uff0c\u5c0f\u4f19\u4f34\u4eec\u548c\u6211\u90fd\u4f1a\u7ed9\u4e88\u89e3\u7b54\uff08\u60a8\u4e00\u822c 3 \u5929\u5185\u4f1a\u5f97\u5230\u56de\u590d\uff09\u3002</p> <p>\u540c\u65f6\uff0c\u4e5f\u5e0c\u671b\u4f60\u53ef\u4ee5\u591a\u82b1\u65f6\u95f4\u901b\u901b\u8bc4\u8bba\u533a\u3002\u4e00\u65b9\u9762\uff0c\u53ef\u4ee5\u770b\u770b\u5927\u5bb6\u9047\u5230\u4e86\u4ec0\u4e48\u95ee\u9898\uff0c\u53cd\u8fc7\u6765\u67e5\u6f0f\u8865\u7f3a\uff0c\u8fd9\u5f80\u5f80\u53ef\u4ee5\u5f15\u8d77\u66f4\u52a0\u6df1\u5ea6\u7684\u601d\u8003\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u4e5f\u5e0c\u671b\u4f60\u53ef\u4ee5\u6177\u6168\u5730\u89e3\u7b54\u5c0f\u4f19\u4f34\u4eec\u7684\u95ee\u9898\u3001\u5206\u4eab\u81ea\u5df1\u7684\u89c1\u89e3\uff0c\u5927\u5bb6\u4e00\u8d77\u52a0\u6cb9\u4e0e\u8fdb\u6b65\uff01</p> <p></p>"},{"location":"chapter_preface/suggestions/#024","title":"0.2.4. \u7b97\u6cd5\u5b66\u4e60\u201c\u4e09\u6b65\u8d70\u201d","text":"<p>\u7b2c\u4e00\u9636\u6bb5\uff0c\u7b97\u6cd5\u5165\u95e8\uff0c\u4e5f\u6b63\u662f\u672c\u4e66\u7684\u5b9a\u4f4d\u3002\u719f\u6089\u5404\u79cd\u6570\u636e\u7ed3\u6784\u7684\u7279\u70b9\u3001\u7528\u6cd5\uff0c\u5b66\u4e60\u5404\u79cd\u7b97\u6cd5\u7684\u5de5\u4f5c\u539f\u7406\u3001\u7528\u9014\u3001\u6548\u7387\u7b49\u3002</p> <p>\u7b2c\u4e8c\u9636\u6bb5\uff0c\u5237\u7b97\u6cd5\u9898\u3002\u53ef\u4ee5\u5148\u4ece\u70ed\u95e8\u9898\u5355\u5f00\u5237\uff0c\u63a8\u8350 \u5251\u6307 Offer\u3001LeetCode \u70ed\u9898 HOT 100 \uff0c\u5148\u79ef\u7d2f\u81f3\u5c11 100 \u9053\u9898\u91cf\uff0c\u719f\u6089\u5927\u591a\u6570\u7684\u7b97\u6cd5\u95ee\u9898\u3002\u521a\u5f00\u59cb\u5237\u9898\u65f6\uff0c\u201c\u9057\u5fd8\u201d\u662f\u6700\u5927\u7684\u56f0\u6270\u70b9\uff0c\u4f46\u8fd9\u662f\u5f88\u6b63\u5e38\u7684\uff0c\u8bf7\u4e0d\u8981\u62c5\u5fc3\u3002\u5b66\u4e60\u4e2d\u6709\u4e00\u79cd\u6982\u5ff5\u53eb\u201c\u5468\u671f\u6027\u56de\u987e\u201d\uff0c\u540c\u4e00\u9053\u9898\u9694\u6bb5\u65f6\u95f4\u505a\u4e00\u6b21\uff0c\u5f53\u505a\u4e86\u4e09\u904d\u4ee5\u4e0a\uff0c\u5f80\u5f80\u5c31\u80fd\u7262\u8bb0\u4e8e\u5fc3\u4e86\u3002</p> <p>\u7b2c\u4e09\u9636\u6bb5\uff0c\u642d\u5efa\u77e5\u8bc6\u4f53\u7cfb\u3002\u5728\u5b66\u4e60\u65b9\u9762\uff0c\u53ef\u4ee5\u9605\u8bfb\u7b97\u6cd5\u4e13\u680f\u6587\u7ae0\u3001\u89e3\u9898\u6846\u67b6\u3001\u7b97\u6cd5\u6559\u6750\uff0c\u4e0d\u65ad\u5730\u4e30\u5bcc\u77e5\u8bc6\u4f53\u7cfb\u3002\u5728\u5237\u9898\u65b9\u9762\uff0c\u53ef\u4ee5\u5f00\u59cb\u91c7\u7528\u8fdb\u9636\u5237\u9898\u65b9\u6848\uff0c\u4f8b\u5982\u6309\u4e13\u9898\u5206\u7c7b\u3001\u4e00\u9898\u591a\u89e3\u3001\u4e00\u89e3\u591a\u9898\u7b49\uff0c\u5237\u9898\u65b9\u6848\u5728\u793e\u533a\u4e2d\u53ef\u4ee5\u627e\u5230\u4e00\u4e9b\u8bb2\u89e3\uff0c\u5728\u6b64\u4e0d\u505a\u8d58\u8ff0\u3002</p> <p></p>"},{"location":"chapter_reference/","title":"\u53c2\u8003\u6587\u732e","text":"<p>[1] Thomas H. Cormen, et al. Introduction to Algorithms (3rd Edition).</p> <p>[2] Aditya Bhargava. Grokking Algorithms: An Illustrated Guide for Programmers and Other Curious People (1st Edition).</p> <p>[3] \u7a0b\u6770. \u5927\u8bdd\u6570\u636e\u7ed3\u6784.</p> <p>[4] \u738b\u4e89. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u4e4b\u7f8e.</p> <p>[5] \u4e25\u851a\u654f. \u6570\u636e\u7ed3\u6784\uff08 C \u8bed\u8a00\u7248\uff09.</p> <p>[6] \u9093\u4fca\u8f89. \u6570\u636e\u7ed3\u6784\uff08 C++ \u8bed\u8a00\u7248\uff0c\u7b2c\u4e09\u7248\uff09.</p> <p>[7] \u9a6c\u514b\u00b7\u827e\u4f26\u00b7\u7ef4\u65af\u8457\uff0c\u9648\u8d8a\u8bd1. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5206\u6790\uff1aJava\u8bed\u8a00\u63cf\u8ff0\uff08\u7b2c\u4e09\u7248\uff09.</p> <p>[8] Gayle Laakmann McDowell. Cracking the Coding Interview: 189 Programming Questions and Solutions (6th Edition). </p>"},{"location":"chapter_searching/binary_search/","title":"10.2. \u4e8c\u5206\u67e5\u627e","text":"<p>\u300c\u4e8c\u5206\u67e5\u627e Binary Search\u300d\u5229\u7528\u6570\u636e\u7684\u6709\u5e8f\u6027\uff0c\u901a\u8fc7\u6bcf\u8f6e\u7f29\u5c0f\u4e00\u534a\u641c\u7d22\u533a\u95f4\u6765\u67e5\u627e\u76ee\u6807\u5143\u7d20\u3002</p> <p>\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u6709\u4e24\u4e2a\u524d\u7f6e\u6761\u4ef6\uff1a</p> <ul> <li>\u8981\u6c42\u8f93\u5165\u6570\u636e\u662f\u6709\u5e8f\u7684\uff0c\u8fd9\u6837\u624d\u80fd\u901a\u8fc7\u5224\u65ad\u5927\u5c0f\u5173\u7cfb\u6765\u6392\u9664\u4e00\u534a\u7684\u641c\u7d22\u533a\u95f4\uff1b</li> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\uff0c\u800c\u5728\u94fe\u8868\u4e2d\u4f7f\u7528\u6548\u7387\u5f88\u4f4e\uff0c\u56e0\u4e3a\u5176\u5728\u5faa\u73af\u4e2d\u9700\u8981\u8df3\u8dc3\u5f0f\uff08\u975e\u8fde\u7eed\u5730\uff09\u8bbf\u95ee\u5143\u7d20\u3002</li> </ul>"},{"location":"chapter_searching/binary_search/#1021","title":"10.2.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6392\u5e8f\u6570\u7ec4 <code>nums</code> \uff0c\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\u3002\u6570\u7ec4\u7684\u7d22\u5f15\u53d6\u503c\u8303\u56f4\u4e3a</p> \\[ 0, 1, 2, \\cdots, n-1 \\] <p>\u4f7f\u7528\u300c\u533a\u95f4\u300d\u6765\u8868\u793a\u8fd9\u4e2a\u53d6\u503c\u8303\u56f4\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4e24\u79cd\uff1a</p> <ol> <li>\u53cc\u95ed\u533a\u95f4 \\([0, n-1]\\) \uff0c\u5373\u4e24\u4e2a\u8fb9\u754c\u90fd\u5305\u542b\u81ea\u8eab\uff1b\u6b64\u65b9\u6cd5\u4e0b\uff0c\u533a\u95f4 \\([0, 0]\\) \u4ecd\u5305\u542b\u4e00\u4e2a\u5143\u7d20\uff1b</li> <li>\u5de6\u95ed\u53f3\u5f00 \\([0, n)\\) \uff0c\u5373\u5de6\u8fb9\u754c\u5305\u542b\u81ea\u8eab\u3001\u53f3\u8fb9\u754c\u4e0d\u5305\u542b\u81ea\u8eab\uff1b\u6b64\u65b9\u6cd5\u4e0b\uff0c\u533a\u95f4 \\([0, 0)\\) \u4e3a\u7a7a\uff1b</li> </ol>"},{"location":"chapter_searching/binary_search/#_1","title":"\u201c\u53cc\u95ed\u533a\u95f4\u201d\u5b9e\u73b0","text":"<p>\u9996\u5148\uff0c\u6211\u4eec\u5148\u91c7\u7528\u201c\u53cc\u95ed\u533a\u95f4\u201d\u7684\u8868\u793a\uff0c\u5728\u6570\u7ec4 <code>nums</code> \u4e2d\u67e5\u627e\u76ee\u6807\u5143\u7d20 <code>target</code> \u7684\u5bf9\u5e94\u7d22\u5f15\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4e8c\u5206\u67e5\u627e\u201c\u53cc\u95ed\u533a\u95f4\u201d\u8868\u793a\u4e0b\u7684\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search.java<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(int[] nums, int target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.cpp<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(vector&lt;int&gt;&amp; nums, int target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.size() - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.py<pre><code>\"\"\" \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 \"\"\"\ndef binary_search(nums, target):\n# \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\ni, j = 0, len(nums) - 1\nwhile i &lt;= j:\nm = (i + j) // 2        # \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target:    # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\nelif nums[m] &gt; target:  # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\nelse:\nreturn m            # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn -1                   # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> binary_search.go<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunc binarySearch(nums []int, target int) int {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\ni, j := 0, len(nums)-1\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nfor i &lt;= j {\nm := (i + j) / 2      // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.js<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunction binarySearch(nums, target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nlet i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nlet m = parseInt((i + j) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m \uff0c\u5728 JS \u4e2d\u9700\u4f7f\u7528 parseInt \u51fd\u6570\u53d6\u6574\nif (nums[m] &lt; target)          // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target)     // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse\nreturn m;                  // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.ts<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunction binarySearch(nums: number[], target: number): number {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nlet i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nconst m = Math.floor(i + (j - i) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target) {        // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\n} else if (nums[m] &gt; target) { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\n} else {                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n}\nreturn -1; // \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n}\n</code></pre> binary_search.c<pre><code>[class]{}-[func]{binarySearch}\n</code></pre> binary_search.cs<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(int[] nums, int target)\n{\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.Length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j)\n{\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.swift<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunc binarySearch(nums: [Int], target: Int) -&gt; Int {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nvar i = 0\nvar j = nums.count - 1\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt;= j {\nlet m = (i + j) / 2 // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.zig<pre><code>// \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09\nfn binarySearch(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nvar i: usize = 0;\nvar j: usize = nums.items.len - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nvar m = (i + j) / 2;                    // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums.items[m] &lt; target) {           // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\n} else if (nums.items[m] &gt; target) {    // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\n} else {                                // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn @intCast(T, m);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_searching/binary_search/#_2","title":"\u201c\u5de6\u95ed\u53f3\u5f00\u201d\u5b9e\u73b0","text":"<p>\u5f53\u7136\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u4f7f\u7528\u201c\u5de6\u95ed\u53f3\u5f00\u201d\u7684\u8868\u793a\u65b9\u6cd5\uff0c\u5199\u51fa\u76f8\u540c\u529f\u80fd\u7684\u4e8c\u5206\u67e5\u627e\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search.java<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(int[] nums, int target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.cpp<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(vector&lt;int&gt;&amp; nums, int target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.size();\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.py<pre><code>\"\"\" \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 \"\"\"\ndef binary_search1(nums, target):\n# \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\ni, j = 0, len(nums)\n# \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt; j:\nm = (i + j) // 2        # \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target:    # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\nelif nums[m] &gt; target:  # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\nelse:                   # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\nreturn -1                   # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> binary_search.go<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunc binarySearch1(nums []int, target int) int {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\ni, j := 0, len(nums)\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nfor i &lt; j {\nm := (i + j) / 2      // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.js<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunction binarySearch1(nums, target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nlet i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nlet m = parseInt((i + j) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m \uff0c\u5728 JS \u4e2d\u9700\u4f7f\u7528 parseInt \u51fd\u6570\u53d6\u6574\nif (nums[m] &lt; target)          // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target)     // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                           // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.ts<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunction binarySearch1(nums: number[], target: number): number {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nlet i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nconst m = Math.floor(i + (j - i) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target) {        // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\n} else if (nums[m] &gt; target) { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\n} else {                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n}\nreturn -1; // \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n}\n</code></pre> binary_search.c<pre><code>[class]{}-[func]{binarySearch1}\n</code></pre> binary_search.cs<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(int[] nums, int target)\n{\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.Length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j)\n{\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.swift<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunc binarySearch1(nums: [Int], target: Int) -&gt; Int {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nvar i = 0\nvar j = nums.count\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt; j {\nlet m = (i + j) / 2 // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.zig<pre><code>// \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09\nfn binarySearch1(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nvar i: usize = 0;\nvar j: usize = nums.items.len;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nvar m = (i + j) / 2;                    // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums.items[m] &lt; target) {           // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\n} else if (nums.items[m] &gt; target) {    // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\n} else {                                // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn @intCast(T, m);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_searching/binary_search/#_3","title":"\u4e24\u79cd\u8868\u793a\u5bf9\u6bd4","text":"<p>\u5bf9\u6bd4\u4e0b\u6765\uff0c\u4e24\u79cd\u8868\u793a\u7684\u4ee3\u7801\u5199\u6cd5\u6709\u4ee5\u4e0b\u4e0d\u540c\u70b9\uff1a</p> \u8868\u793a\u65b9\u6cd5 \u521d\u59cb\u5316\u6307\u9488 \u7f29\u5c0f\u533a\u95f4 \u5faa\u73af\u7ec8\u6b62\u6761\u4ef6 \u53cc\u95ed\u533a\u95f4 \\([0, n-1]\\) \\(i = 0\\) , \\(j = n-1\\) \\(i = m + 1\\) , \\(j = m - 1\\) \\(i &gt; j\\) \u5de6\u95ed\u53f3\u5f00 \\([0, n)\\) \\(i = 0\\) , \\(j = n\\) \\(i = m + 1\\) , \\(j = m\\) \\(i = j\\) <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5728\u201c\u53cc\u95ed\u533a\u95f4\u201d\u8868\u793a\u4e2d\uff0c\u7531\u4e8e\u5bf9\u5de6\u53f3\u4e24\u8fb9\u754c\u7684\u5b9a\u4e49\u662f\u76f8\u540c\u7684\uff0c\u56e0\u6b64\u7f29\u5c0f\u533a\u95f4\u7684 \\(i\\) , \\(j\\) \u5904\u7406\u65b9\u6cd5\u4e5f\u662f\u5bf9\u79f0\u7684\uff0c\u8fd9\u6837\u66f4\u4e0d\u5bb9\u6613\u51fa\u9519\u3002\u7efc\u4e0a\u6240\u8ff0\uff0c\u5efa\u8bae\u4f60\u91c7\u7528\u201c\u53cc\u95ed\u533a\u95f4\u201d\u7684\u5199\u6cd5\u3002</p>"},{"location":"chapter_searching/binary_search/#_4","title":"\u5927\u6570\u8d8a\u754c\u5904\u7406","text":"<p>\u5f53\u6570\u7ec4\u957f\u5ea6\u5f88\u5927\u65f6\uff0c\u52a0\u6cd5 \\(i + j\\) \u7684\u7ed3\u679c\u6709\u53ef\u80fd\u4f1a\u8d85\u51fa <code>int</code> \u7c7b\u578b\u7684\u53d6\u503c\u8303\u56f4\u3002\u5728\u6b64\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u9700\u8981\u6362\u4e00\u79cd\u8ba1\u7b97\u4e2d\u70b9\u7684\u5199\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code># Python \u4e2d\u7684\u6570\u5b57\u7406\u8bba\u4e0a\u53ef\u4ee5\u65e0\u9650\u5927\uff08\u53d6\u51b3\u4e8e\u5185\u5b58\u5927\u5c0f\uff09\n# \u56e0\u6b64\u65e0\u9700\u8003\u8651\u5927\u6570\u8d8a\u754c\u95ee\u9898\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nm := (i + j) / 2\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nm := i + (j - i) / 2\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nlet m = parseInt((i + j) / 2);\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = parseInt(i + (j - i) / 2);\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa Number \u7684\u53d6\u503c\u8303\u56f4\nlet m = Math.floor((i + j) / 2);\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = Math.floor(i + (j - i) / 2);\n</code></pre> <pre><code>\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nlet m = (i + j) / 2\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = i + (j - 1) / 2\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_searching/binary_search/#1022","title":"10.2.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(\\log n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\uff1b\u6bcf\u8f6e\u6392\u9664\u4e00\u534a\u7684\u533a\u95f4\uff0c\u56e0\u6b64\u5faa\u73af\u8f6e\u6570\u4e3a \\(\\log_2 n\\) \uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 <code>i</code> , <code>j</code> \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7a7a\u95f4\u3002</p>"},{"location":"chapter_searching/binary_search/#1023","title":"10.2.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u4e8c\u5206\u67e5\u627e\u6548\u7387\u5f88\u9ad8\uff0c\u4f53\u73b0\u5728\uff1a</p> <ul> <li>\u4e8c\u5206\u67e5\u627e\u65f6\u95f4\u590d\u6742\u5ea6\u4f4e\u3002\u5bf9\u6570\u9636\u5728\u6570\u636e\u91cf\u5f88\u5927\u65f6\u5177\u6709\u5de8\u5927\u4f18\u52bf\uff0c\u4f8b\u5982\uff0c\u5f53\u6570\u636e\u5927\u5c0f \\(n = 2^{20}\\) \u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u9700\u8981 \\(2^{20} = 1048576\\) \u8f6e\u5faa\u73af\uff0c\u800c\u4e8c\u5206\u67e5\u627e\u4ec5\u9700\u8981 \\(\\log_2 2^{20} = 20\\) \u8f6e\u5faa\u73af\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u4e0d\u9700\u8981\u989d\u5916\u7a7a\u95f4\u3002\u76f8\u5bf9\u4e8e\u501f\u52a9\u989d\u5916\u6570\u636e\u7ed3\u6784\u6765\u5b9e\u73b0\u67e5\u627e\u7684\u7b97\u6cd5\u6765\u8bf4\uff0c\u5176\u66f4\u52a0\u8282\u7ea6\u7a7a\u95f4\u4f7f\u7528\u3002</li> </ul> <p>\u4f46\u5e76\u4e0d\u610f\u5473\u7740\u6240\u6709\u60c5\u51b5\u4e0b\u90fd\u5e94\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6709\u5e8f\u6570\u636e\u3002\u5982\u679c\u8f93\u5165\u6570\u636e\u662f\u65e0\u5e8f\u7684\uff0c\u4e3a\u4e86\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u800c\u4e13\u95e8\u6267\u884c\u6570\u636e\u6392\u5e8f\uff0c\u90a3\u4e48\u662f\u5f97\u4e0d\u507f\u5931\u7684\uff0c\u56e0\u4e3a\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e00\u822c\u4e3a \\(O(n \\log n)\\) \uff0c\u6bd4\u7ebf\u6027\u67e5\u627e\u548c\u4e8c\u5206\u67e5\u627e\u90fd\u66f4\u5dee\u3002\u518d\u4f8b\u5982\uff0c\u5bf9\u4e8e\u9891\u7e41\u63d2\u5165\u5143\u7d20\u7684\u573a\u666f\uff0c\u4e3a\u4e86\u4fdd\u6301\u6570\u7ec4\u7684\u6709\u5e8f\u6027\uff0c\u9700\u8981\u5c06\u5143\u7d20\u63d2\u5165\u5230\u7279\u5b9a\u4f4d\u7f6e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u4e5f\u662f\u975e\u5e38\u6602\u8d35\u7684\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\u3002\u7531\u4e8e\u5728\u4e8c\u5206\u67e5\u627e\u4e2d\uff0c\u8bbf\u95ee\u7d22\u5f15\u662f \u201c\u975e\u8fde\u7eed\u201d \u7684\uff0c\u56e0\u6b64\u94fe\u8868\u6216\u8005\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u90fd\u65e0\u6cd5\u4f7f\u7528\u3002</li> <li>\u5728\u5c0f\u6570\u636e\u91cf\u4e0b\uff0c\u7ebf\u6027\u67e5\u627e\u7684\u6027\u80fd\u66f4\u597d\u3002\u5728\u7ebf\u6027\u67e5\u627e\u4e2d\uff0c\u6bcf\u8f6e\u53ea\u9700\u8981 1 \u6b21\u5224\u65ad\u64cd\u4f5c\uff1b\u800c\u5728\u4e8c\u5206\u67e5\u627e\u4e2d\uff0c\u9700\u8981 1 \u6b21\u52a0\u6cd5\u30011 \u6b21\u9664\u6cd5\u30011 ~ 3 \u6b21\u5224\u65ad\u64cd\u4f5c\u30011 \u6b21\u52a0\u6cd5\uff08\u51cf\u6cd5\uff09\uff0c\u5171 4 ~ 6 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u56e0\u6b64\uff0c\u5728\u6570\u636e\u91cf \\(n\\) \u8f83\u5c0f\u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u53cd\u800c\u6bd4\u4e8c\u5206\u67e5\u627e\u66f4\u5feb\u3002</li> </ul>"},{"location":"chapter_searching/hashing_search/","title":"10.3. \u54c8\u5e0c\u67e5\u627e","text":"<p>Question</p> <p>\u5728\u6570\u636e\u91cf\u5f88\u5927\u65f6\uff0c\u300c\u7ebf\u6027\u67e5\u627e\u300d\u592a\u6162\uff1b\u800c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u8981\u6c42\u6570\u636e\u5fc5\u987b\u662f\u6709\u5e8f\u7684\uff0c\u5e76\u4e14\u53ea\u80fd\u5728\u6570\u7ec4\u4e2d\u5e94\u7528\u3002\u90a3\u4e48\u662f\u5426\u6709\u65b9\u6cd5\u53ef\u4ee5\u540c\u65f6\u907f\u514d\u4e0a\u8ff0\u7f3a\u70b9\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u6b64\u65b9\u6cd5\u88ab\u79f0\u4e3a\u300c\u54c8\u5e0c\u67e5\u627e\u300d\u3002</p> <p>\u300c\u54c8\u5e0c\u67e5\u627e Hash Searching\u300d\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868\u6765\u5b58\u50a8\u9700\u8981\u7684\u300c\u952e\u503c\u5bf9 Key Value Pair\u300d\uff0c\u6211\u4eec\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u4e0b\u5b9e\u73b0\u201c\u952e \\(\\rightarrow\\) \u503c\u201d\u6620\u5c04\u67e5\u627e\uff0c\u4f53\u73b0\u7740\u201c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u201d\u7684\u7b97\u6cd5\u601d\u60f3\u3002</p>"},{"location":"chapter_searching/hashing_search/#1031","title":"10.3.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u5982\u679c\u6211\u4eec\u60f3\u8981\u7ed9\u5b9a\u6570\u7ec4\u4e2d\u7684\u4e00\u4e2a\u76ee\u6807\u5143\u7d20 <code>target</code> \uff0c\u83b7\u53d6\u8be5\u5143\u7d20\u7684\u7d22\u5f15\uff0c\u90a3\u4e48\u53ef\u4ee5\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868\u5b9e\u73b0\u67e5\u627e\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hashing_search.java<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(Map&lt;Integer, Integer&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.getOrDefault(target, -1);\n}\n</code></pre> hashing_search.cpp<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(unordered_map&lt;int, int&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nif (map.find(target) == map.end())\nreturn -1;\nreturn map[target];\n}\n</code></pre> hashing_search.py<pre><code>\"\"\" \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 \"\"\"\ndef hashing_search_array(mapp, target):\n# \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n# \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn mapp.get(target, -1)\n</code></pre> hashing_search.go<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc hashingSearchArray(m map[int]int, target int) int {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nif index, ok := m[target]; ok {\nreturn index\n} else {\nreturn -1\n}\n}\n</code></pre> hashing_search.js<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction hashingSearchArray(map, target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.has(target) ? map.get(target) : -1;\n}\n</code></pre> hashing_search.ts<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction hashingSearchArray(map: Map&lt;number, number&gt;, target: number): number {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.has(target) ? map.get(target) as number : -1;\n}\n</code></pre> hashing_search.c<pre><code>[class]{}-[func]{hashingSearchArray}\n</code></pre> hashing_search.cs<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(Dictionary&lt;int, int&gt; map, int target)\n{\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.GetValueOrDefault(target, -1);\n}\n</code></pre> hashing_search.swift<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc hashingSearchArray(map: [Int: Int], target: Int) -&gt; Int {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map[target, default: -1]\n}\n</code></pre> hashing_search.zig<pre><code>// \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09\nfn hashingSearchArray(comptime T: type, map: std.AutoHashMap(T, T), target: T) T {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1   \nif (map.getKey(target) == null) return -1;\nreturn map.get(target).?;\n}\n</code></pre> <p>\u518d\u6bd4\u5982\uff0c\u5982\u679c\u6211\u4eec\u60f3\u8981\u7ed9\u5b9a\u4e00\u4e2a\u76ee\u6807\u7ed3\u70b9\u503c <code>target</code> \uff0c\u83b7\u53d6\u5bf9\u5e94\u7684\u94fe\u8868\u7ed3\u70b9\u5bf9\u8c61\uff0c\u90a3\u4e48\u4e5f\u53ef\u4ee5\u4f7f\u7528\u54c8\u5e0c\u67e5\u627e\u5b9e\u73b0\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hashing_search.java<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode hashingSearchLinkedList(Map&lt;Integer, ListNode&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.getOrDefault(target, null);\n}\n</code></pre> hashing_search.cpp<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode* hashingSearchLinkedList(unordered_map&lt;int, ListNode*&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de nullptr\nif (map.find(target) == map.end())\nreturn nullptr;\nreturn map[target];\n}\n</code></pre> hashing_search.py<pre><code>\"\"\"  \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 \"\"\"\ndef hashing_search_linkedlist(mapp, target):\n# \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n# \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn mapp.get(target, -1)\n</code></pre> hashing_search.go<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc hashingSearchLinkedList(m map[int]*ListNode, target int) *ListNode {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de nil\nif node, ok := m[target]; ok {\nreturn node\n} else {\nreturn nil\n}\n}\n</code></pre> hashing_search.js<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunction hashingSearchLinkedList(map, target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.has(target) ? map.get(target) : null;\n}\n</code></pre> hashing_search.ts<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunction hashingSearchLinkedList(map: Map&lt;number, ListNode&gt;, target: number): ListNode | null {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.has(target) ? map.get(target) as ListNode : null;\n}\n</code></pre> hashing_search.c<pre><code>[class]{}-[func]{hashingSearchLinkedList}\n</code></pre> hashing_search.cs<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode? hashingSearchLinkedList(Dictionary&lt;int, ListNode&gt; map, int target)\n{\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.GetValueOrDefault(target);\n}\n</code></pre> hashing_search.swift<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc hashingSearchLinkedList(map: [Int: ListNode], target: Int) -&gt; ListNode? {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map[target]\n}\n</code></pre> hashing_search.zig<pre><code>// \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09\nfn hashingSearchLinkedList(comptime T: type, map: std.AutoHashMap(T, *inc.ListNode(T)), target: T) ?*inc.ListNode(T) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null \nif (map.getKey(target) == null) return null;\nreturn map.get(target);\n}\n</code></pre>"},{"location":"chapter_searching/hashing_search/#1032","title":"10.3.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u54c8\u5e0c\u8868\u7684\u67e5\u627e\u64cd\u4f5c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\u3002</p>"},{"location":"chapter_searching/hashing_search/#1033","title":"10.3.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u5728\u54c8\u5e0c\u8868\u4e2d\uff0c\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(1)\\) \uff0c\u8fd9\u610f\u5473\u7740\u65e0\u8bba\u662f\u9ad8\u9891\u589e\u5220\u8fd8\u662f\u9ad8\u9891\u67e5\u627e\u573a\u666f\uff0c\u54c8\u5e0c\u67e5\u627e\u7684\u6027\u80fd\u8868\u73b0\u90fd\u975e\u5e38\u597d\u3002\u5f53\u7136\uff0c\u4e00\u5207\u7684\u524d\u63d0\u662f\u4fdd\u8bc1\u54c8\u5e0c\u8868\u672a\u9000\u5316\u3002</p> <p>\u5373\u4f7f\u5982\u6b64\uff0c\u54c8\u5e0c\u67e5\u627e\u4ecd\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u9700\u8981\u6839\u636e\u60c5\u51b5\u7075\u6d3b\u9009\u62e9\u65b9\u6cd5\u3002</p> <ul> <li>\u8f85\u52a9\u54c8\u5e0c\u8868 \u9700\u8981\u4f7f\u7528 \\(O(n)\\) \u7684\u989d\u5916\u7a7a\u95f4\uff0c\u610f\u5473\u7740\u9700\u8981\u9884\u7559\u66f4\u591a\u7684\u8ba1\u7b97\u673a\u5185\u5b58\uff1b</li> <li>\u5efa\u7acb\u548c\u7ef4\u62a4\u54c8\u5e0c\u8868\u9700\u8981\u65f6\u95f4\uff0c\u56e0\u6b64\u54c8\u5e0c\u67e5\u627e \u4e0d\u9002\u5408\u9ad8\u9891\u589e\u5220\u3001\u4f4e\u9891\u67e5\u627e\u7684\u4f7f\u7528\u573a\u666f\uff1b</li> <li>\u5f53\u54c8\u5e0c\u51b2\u7a81\u4e25\u91cd\u65f6\uff0c\u54c8\u5e0c\u8868\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \uff1b</li> <li>\u5f53\u6570\u636e\u91cf\u5f88\u5c0f\u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u6bd4\u54c8\u5e0c\u67e5\u627e\u66f4\u5feb\u3002\u8fd9\u662f\u56e0\u4e3a\u8ba1\u7b97\u54c8\u5e0c\u6620\u5c04\u51fd\u6570\u53ef\u80fd\u6bd4\u904d\u5386\u4e00\u4e2a\u5c0f\u578b\u6570\u7ec4\u66f4\u6162\uff1b</li> </ul>"},{"location":"chapter_searching/linear_search/","title":"10.1. \u7ebf\u6027\u67e5\u627e","text":"<p>\u300c\u7ebf\u6027\u67e5\u627e Linear Search\u300d\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u67e5\u627e\u65b9\u6cd5\uff0c\u5176\u4ece\u6570\u636e\u7ed3\u6784\u7684\u4e00\u7aef\u5f00\u59cb\uff0c\u4f9d\u6b21\u8bbf\u95ee\u6bcf\u4e2a\u5143\u7d20\uff0c\u76f4\u5230\u53e6\u4e00\u7aef\u540e\u505c\u6b62\u3002</p>"},{"location":"chapter_searching/linear_search/#1011","title":"10.1.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u7ebf\u6027\u67e5\u627e\u5b9e\u8d28\u4e0a\u5c31\u662f\u904d\u5386\u6570\u636e\u7ed3\u6784 + \u5224\u65ad\u6761\u4ef6\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u5728\u6570\u7ec4 <code>nums</code> \u4e2d\u67e5\u627e\u76ee\u6807\u5143\u7d20 <code>target</code> \u7684\u5bf9\u5e94\u7d22\u5f15\uff0c\u90a3\u4e48\u53ef\u4ee5\u5728\u6570\u7ec4\u4e2d\u8fdb\u884c\u7ebf\u6027\u67e5\u627e\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linear_search.java<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(int[] nums, int target) {\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.cpp<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(vector&lt;int&gt;&amp; nums, int target) {\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.size(); i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.py<pre><code>\"\"\" \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 \"\"\"\ndef linear_search_array(nums, target):\n# \u904d\u5386\u6570\u7ec4\nfor i in range(len(nums)):\nif nums[i] == target:  # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn i\nreturn -1                  # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> linear_search.go<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc linearSearchArray(nums []int, target int) int {\n// \u904d\u5386\u6570\u7ec4\nfor i := 0; i &lt; len(nums); i++ {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif nums[i] == target {\nreturn i\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> linear_search.js<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction linearSearchArray(nums, target) {\n// \u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] === target) {\nreturn i;\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1; }\n</code></pre> linear_search.ts<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09*/\nfunction linearSearchArray(nums: number[], target: number): number {\n// \u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] === target) {\nreturn i;\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.c<pre><code>[class]{}-[func]{linearSearchArray}\n</code></pre> linear_search.cs<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(int[] nums, int target)\n{\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.swift<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc linearSearchArray(nums: [Int], target: Int) -&gt; Int {\n// \u904d\u5386\u6570\u7ec4\nfor i in nums.indices {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif nums[i] == target {\nreturn i\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> linear_search.zig<pre><code>// \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09\nfn linearSearchArray(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u904d\u5386\u6570\u7ec4\nfor (nums.items) |num, i| {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c \u8fd4\u56de\u5176\u7d22\u5f15\nif (num == target) {\nreturn @intCast(T, i);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> <p>\u518d\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u5728\u7ed9\u5b9a\u4e00\u4e2a\u76ee\u6807\u7ed3\u70b9\u503c <code>target</code> \uff0c\u8fd4\u56de\u6b64\u7ed3\u70b9\u5bf9\u8c61\uff0c\u4e5f\u53ef\u4ee5\u5728\u94fe\u8868\u4e2d\u8fdb\u884c\u7ebf\u6027\u67e5\u627e\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linear_search.java<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode linearSearchLinkedList(ListNode head, int target) {\n// \u904d\u5386\u94fe\u8868\nwhile (head != null) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val == target)\nreturn head;\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.cpp<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode* linearSearchLinkedList(ListNode* head, int target) {\n// \u904d\u5386\u94fe\u8868\nwhile (head != nullptr) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head-&gt;val == target)\nreturn head;\nhead = head-&gt;next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de nullptr\nreturn nullptr;\n}\n</code></pre> linear_search.py<pre><code>\"\"\" \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 \"\"\"\ndef linear_search_linkedlist(head, target):\n# \u904d\u5386\u94fe\u8868\nwhile head:\nif head.val == target: # \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nreturn head\nhead = head.next\nreturn None                # \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de None\n</code></pre> linear_search.go<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc linearSearchLinkedList(node *ListNode, target int) *ListNode {\n// \u904d\u5386\u94fe\u8868\nfor node != nil {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif node.Val == target {\nreturn node\n}\nnode = node.Next\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de nil\nreturn nil\n}\n</code></pre> linear_search.js<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09*/\nfunction linearSearchLinkedList(head, target) {\n// \u904d\u5386\u94fe\u8868\nwhile(head) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif(head.val === target) {\nreturn head;\n}\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.ts<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09*/\nfunction linearSearchLinkedList(head: ListNode | null, target: number): ListNode | null {\n// \u904d\u5386\u94fe\u8868\nwhile (head) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val === target) {\nreturn head;\n}\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.c<pre><code>[class]{}-[func]{linearSearchLinkedList}\n</code></pre> linear_search.cs<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode? linearSearchLinkedList(ListNode head, int target)\n{\n// \u904d\u5386\u94fe\u8868\nwhile (head != null)\n{\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val == target)\nreturn head;\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.swift<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc linearSearchLinkedList(head: ListNode?, target: Int) -&gt; ListNode? {\nvar head = head\n// \u904d\u5386\u94fe\u8868\nwhile head != nil {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif head?.val == target {\nreturn head\n}\nhead = head?.next\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn nil\n}\n</code></pre> linear_search.zig<pre><code>// \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09\nfn linearSearchLinkedList(comptime T: type, node: ?*inc.ListNode(T), target: T) ?*inc.ListNode(T) {\nvar head = node;\n// \u904d\u5386\u94fe\u8868\nwhile (head != null) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.?.val == target) return head;\nhead = head.?.next;\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_searching/linear_search/#1012","title":"10.1.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u65e0\u9700\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\u3002</p>"},{"location":"chapter_searching/linear_search/#1013","title":"10.1.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u7ebf\u6027\u67e5\u627e\u7684\u901a\u7528\u6027\u6781\u4f73\u3002\u7531\u4e8e\u7ebf\u6027\u67e5\u627e\u662f\u4f9d\u6b21\u8bbf\u95ee\u5143\u7d20\u7684\uff0c\u5373\u6ca1\u6709\u8df3\u8dc3\u8bbf\u95ee\u5143\u7d20\uff0c\u56e0\u6b64\u6570\u7ec4\u6216\u94fe\u8868\u7686\u9002\u7528\u3002</p> <p>\u7ebf\u6027\u67e5\u627e\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u592a\u9ad8\u3002\u5728\u6570\u636e\u91cf \\(n\\) \u5f88\u5927\u65f6\uff0c\u67e5\u627e\u6548\u7387\u5f88\u4f4e\u3002</p>"},{"location":"chapter_searching/summary/","title":"10.4. \u5c0f\u7ed3","text":"<ul> <li>\u7ebf\u6027\u67e5\u627e\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u67e5\u627e\u65b9\u6cd5\uff0c\u901a\u8fc7\u904d\u5386\u6570\u636e\u7ed3\u6784 + \u5224\u65ad\u6761\u4ef6\u5b9e\u73b0\u67e5\u627e\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u5229\u7528\u6570\u636e\u7684\u6709\u5e8f\u6027\uff0c\u901a\u8fc7\u5faa\u73af\u4e0d\u65ad\u7f29\u5c0f\u4e00\u534a\u641c\u7d22\u533a\u95f4\u6765\u5b9e\u73b0\u67e5\u627e\uff0c\u5176\u8981\u6c42\u8f93\u5165\u6570\u636e\u662f\u6709\u5e8f\u7684\uff0c\u5e76\u4e14\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\u6216\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u3002</li> <li>\u54c8\u5e0c\u67e5\u627e\u501f\u52a9\u54c8\u5e0c\u8868\u6765\u5b9e\u73b0\u5e38\u6570\u9636\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u67e5\u627e\u64cd\u4f5c\uff0c\u4f53\u73b0\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u7684\u7b97\u6cd5\u601d\u60f3\u3002</li> </ul> <p> Table. \u4e09\u79cd\u67e5\u627e\u65b9\u6cd5\u5bf9\u6bd4 </p> \u7ebf\u6027\u67e5\u627e \u4e8c\u5206\u67e5\u627e \u54c8\u5e0c\u67e5\u627e \u9002\u7528\u6570\u636e\u7ed3\u6784 \u6570\u7ec4\u3001\u94fe\u8868 \u6570\u7ec4 \u6570\u7ec4\u3001\u94fe\u8868 \u8f93\u5165\u6570\u636e\u8981\u6c42 \u65e0 \u6709\u5e8f \u65e0 \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u67e5\u627e / \u63d2\u5165 / \u5220\u9664 \\(O(n)\\) / \\(O(1)\\) / \\(O(n)\\) \\(O(\\log n)\\) / \\(O(n)\\) / \\(O(n)\\) \\(O(1)\\) / \\(O(1)\\) / \\(O(1)\\) \u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u67e5\u627e / \u63d2\u5165 / \u5220\u9664 \\(O(n)\\) / \\(O(1)\\) / \\(O(n)\\) \\(O(\\log n)\\) / \\(O(n)\\) / \\(O(n)\\) \\(O(n)\\) / \\(O(n)\\) / \\(O(n)\\) \u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \\(O(1)\\) \\(O(n)\\)"},{"location":"chapter_sorting/bubble_sort/","title":"11.2. \u5192\u6ce1\u6392\u5e8f","text":"<p>\u300c\u5192\u6ce1\u6392\u5e8f Bubble Sort\u300d\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u975e\u5e38\u9002\u5408\u4f5c\u4e3a\u7b2c\u4e00\u4e2a\u5b66\u4e60\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u987e\u540d\u601d\u4e49\uff0c\u300c\u5192\u6ce1\u300d\u662f\u8be5\u7b97\u6cd5\u7684\u6838\u5fc3\u64cd\u4f5c\u3002</p> <p>\u4e3a\u4ec0\u4e48\u53eb\u201c\u5192\u6ce1\u201d</p> <p>\u5728\u6c34\u4e2d\uff0c\u8d8a\u5927\u7684\u6ce1\u6ce1\u6d6e\u529b\u8d8a\u5927\uff0c\u6240\u4ee5\u6700\u5927\u7684\u6ce1\u6ce1\u4f1a\u6700\u5148\u6d6e\u5230\u6c34\u9762\u3002</p> <p>\u300c\u5192\u6ce1\u300d\u64cd\u4f5c\u5219\u662f\u5728\u6a21\u62df\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u5177\u4f53\u505a\u6cd5\u4e3a\uff1a\u4ece\u6570\u7ec4\u6700\u5de6\u7aef\u5f00\u59cb\u5411\u53f3\u904d\u5386\uff0c\u4f9d\u6b21\u5bf9\u6bd4\u76f8\u90bb\u5143\u7d20\u5927\u5c0f\uff0c\u82e5 \u5de6\u5143\u7d20 &gt; \u53f3\u5143\u7d20 \u5219\u5c06\u5b83\u4fe9\u4ea4\u6362\uff0c\u6700\u7ec8\u53ef\u5c06\u6700\u5927\u5143\u7d20\u79fb\u52a8\u81f3\u6570\u7ec4\u6700\u53f3\u7aef\u3002</p> <p>\u5b8c\u6210\u6b64\u6b21\u5192\u6ce1\u64cd\u4f5c\u540e\uff0c\u6570\u7ec4\u6700\u5927\u5143\u7d20\u5df2\u5728\u6b63\u786e\u4f4d\u7f6e\uff0c\u63a5\u4e0b\u6765\u53ea\u9700\u6392\u5e8f\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p> Fig. \u5192\u6ce1\u64cd\u4f5c </p>"},{"location":"chapter_sorting/bubble_sort/#1121","title":"11.2.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u8bbe\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n\\) \uff0c\u5b8c\u6210\u7b2c\u4e00\u8f6e\u300c\u5192\u6ce1\u300d\u540e\uff0c\u6570\u7ec4\u6700\u5927\u5143\u7d20\u5df2\u5728\u6b63\u786e\u4f4d\u7f6e\uff0c\u63a5\u4e0b\u6765\u53ea\u9700\u6392\u5e8f\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u3002</li> <li>\u540c\u7406\uff0c\u5bf9\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u6267\u884c\u300c\u5192\u6ce1\u300d\uff0c\u53ef\u5c06\u7b2c\u4e8c\u5927\u5143\u7d20\u4ea4\u6362\u81f3\u6b63\u786e\u4f4d\u7f6e\uff0c\u56e0\u800c\u5f85\u6392\u5e8f\u5143\u7d20\u53ea\u5269 \\(n - 2\\) \u4e2a\u3002</li> <li>\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026 \u5faa\u73af \\(n - 1\\) \u8f6e\u300c\u5192\u6ce1\u300d\uff0c\u5373\u53ef\u5b8c\u6210\u6574\u4e2a\u6570\u7ec4\u7684\u6392\u5e8f\u3002</li> </ol> <p> Fig. \u5192\u6ce1\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig bubble_sort.java<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(int[] nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.cpp<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\n// \u8fd9\u91cc\u4f7f\u7528\u4e86 std::swap() \u51fd\u6570\nswap(nums[j], nums[j + 1]);\n}\n}\n}\n}\n</code></pre> bubble_sort.py<pre><code>\"\"\" \u5192\u6ce1\u6392\u5e8f \"\"\"\ndef bubble_sort(nums):\nn = len(nums)\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(n - 1, 0, -1):\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j + 1] = nums[j + 1], nums[j]\n</code></pre> bubble_sort.go<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunc bubbleSort(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j+1] = nums[j+1], nums[j]\n}\n}\n}\n}\n</code></pre> bubble_sort.js<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunction bubbleSort(nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.ts<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunction bubbleSort(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.c<pre><code>[class]{}-[func]{bubbleSort}\n</code></pre> bubble_sort.cs<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.swift<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunc bubbleSort(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in stride(from: nums.count - 1, to: 0, by: -1) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in stride(from: 0, to: i, by: 1) {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\n}\n}\n}\n}\n</code></pre> bubble_sort.zig<pre><code>// \u5192\u6ce1\u6392\u5e8f\nfn bubbleSort(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: usize = nums.len - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre>"},{"location":"chapter_sorting/bubble_sort/#1122","title":"11.2.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u5404\u8f6e\u300c\u5192\u6ce1\u300d\u904d\u5386\u7684\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n - 1\\) , \\(n - 2\\) , \\(\\cdots\\) , \\(2\\) , \\(1\\) \u6b21\uff0c\u6c42\u548c\u4e3a \\(\\frac{(n - 1) n}{2}\\) \uff0c\u56e0\u6b64\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 \\(i\\) , \\(j\\) \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u6307\u9488\u53d8\u91cf\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u7a33\u5b9a\u6392\u5e8f\uff1a\u4e0d\u4ea4\u6362\u76f8\u7b49\u5143\u7d20\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u5f15\u5165 <code>flag</code> \u4f18\u5316\u540e\uff08\u89c1\u4e0b\u6587\uff09\uff0c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(N)\\) \u3002</p>"},{"location":"chapter_sorting/bubble_sort/#1123","title":"11.2.3. \u6548\u7387\u4f18\u5316","text":"<p>\u6211\u4eec\u53d1\u73b0\uff0c\u82e5\u5728\u67d0\u8f6e\u300c\u5192\u6ce1\u300d\u4e2d\u672a\u6267\u884c\u4efb\u4f55\u4ea4\u6362\u64cd\u4f5c\uff0c\u5219\u8bf4\u660e\u6570\u7ec4\u5df2\u7ecf\u5b8c\u6210\u6392\u5e8f\uff0c\u53ef\u76f4\u63a5\u8fd4\u56de\u7ed3\u679c\u3002\u8003\u8651\u53ef\u4ee5\u589e\u52a0\u4e00\u4e2a\u6807\u5fd7\u4f4d <code>flag</code> \u6765\u76d1\u542c\u8be5\u60c5\u51b5\uff0c\u82e5\u51fa\u73b0\u5219\u76f4\u63a5\u8fd4\u56de\u3002</p> <p>\u4f18\u5316\u540e\uff0c\u5192\u6ce1\u6392\u5e8f\u7684\u6700\u5dee\u548c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(n^2)\\) \uff1b\u800c\u5728\u8f93\u5165\u6570\u7ec4 \u5df2\u6392\u5e8f \u65f6\uff0c\u8fbe\u5230 \u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \u3002 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig bubble_sort.java<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(int[] nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\nboolean flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.cpp<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\nbool flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\n// \u8fd9\u91cc\u4f7f\u7528\u4e86 std::swap() \u51fd\u6570\nswap(nums[j], nums[j + 1]);\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.py<pre><code>\"\"\" \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09 \"\"\"\ndef bubble_sort_with_flag(nums):\nn = len(nums)\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(n - 1, 0, -1):\nflag = False  # \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j + 1] = nums[j + 1], nums[j]\nflag = True  # \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\nif not flag:\nbreak            # \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n</code></pre> bubble_sort.go<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunc bubbleSortWithFlag(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\nflag := false // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j+1] = nums[j+1], nums[j]\nflag = true // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif flag == false { // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\nbreak\n}\n}\n}\n</code></pre> bubble_sort.js<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunction bubbleSortWithFlag(nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\nlet flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.ts<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunction bubbleSortWithFlag(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\nlet flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true; // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break; // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.c<pre><code>[class]{}-[func]{bubbleSortWithFlag}\n</code></pre> bubble_sort.cs<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\nbool flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.swift<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunc bubbleSortWithFlag(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in stride(from: nums.count - 1, to: 0, by: -1) {\nvar flag = false // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\nfor j in stride(from: 0, to: i, by: 1) {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\nflag = true // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif !flag { // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\nbreak\n}\n}\n}\n</code></pre> bubble_sort.zig<pre><code>// \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09\nfn bubbleSortWithFlag(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: usize = nums.len - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar flag = false;   // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;\n}\n}\nif (!flag) break;   // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre>"},{"location":"chapter_sorting/insertion_sort/","title":"11.3. \u63d2\u5165\u6392\u5e8f","text":"<p>\u300c\u63d2\u5165\u6392\u5e8f Insertion Sort\u300d\u662f\u4e00\u79cd\u57fa\u4e8e \u6570\u7ec4\u63d2\u5165\u64cd\u4f5c \u7684\u6392\u5e8f\u7b97\u6cd5\u3002</p> <p>\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u539f\u7406\uff1a\u9009\u5b9a\u67d0\u4e2a\u5f85\u6392\u5e8f\u5143\u7d20\u4e3a\u57fa\u51c6\u6570 <code>base</code>\uff0c\u5c06 <code>base</code> \u4e0e\u5176\u5de6\u4fa7\u5df2\u6392\u5e8f\u533a\u95f4\u5143\u7d20\u4f9d\u6b21\u5bf9\u6bd4\u5927\u5c0f\uff0c\u5e76\u63d2\u5165\u5230\u6b63\u786e\u4f4d\u7f6e\u3002</p> <p>\u56de\u5fc6\u6570\u7ec4\u63d2\u5165\u64cd\u4f5c\uff0c\u6211\u4eec\u9700\u8981\u5c06\u4ece\u76ee\u6807\u7d22\u5f15\u5230 <code>base</code> \u4e4b\u95f4\u7684\u6240\u6709\u5143\u7d20\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff0c\u7136\u540e\u518d\u5c06 <code>base</code> \u8d4b\u503c\u7ed9\u76ee\u6807\u7d22\u5f15\u3002</p> <p></p> <p> Fig. \u63d2\u5165\u64cd\u4f5c </p>"},{"location":"chapter_sorting/insertion_sort/#1131","title":"11.3.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u7b2c 1 \u8f6e\u5148\u9009\u53d6\u6570\u7ec4\u7684 \u7b2c 2 \u4e2a\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6570\u7ec4\u524d 2 \u4e2a\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> <li>\u7b2c 2 \u8f6e\u9009\u53d6 \u7b2c 3 \u4e2a\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6570\u7ec4\u524d 3 \u4e2a\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> <li>\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u6700\u540e\u4e00\u8f6e\u9009\u53d6 \u6570\u7ec4\u5c3e\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6240\u6709\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> </ol> <p> Fig. \u63d2\u5165\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig insertion_sort.java<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(int[] nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.length; i++) {\nint base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.cpp<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.size(); i++) {\nint base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.py<pre><code>\"\"\" \u63d2\u5165\u6392\u5e8f \"\"\"\ndef insertion_sort(nums):\n# \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor i in range(1, len(nums)):\nbase = nums[i]\nj = i - 1\n# \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile j &gt;= 0 and nums[j] &gt; base:\nnums[j + 1] = nums[j]  # 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj -= 1\nnums[j + 1] = base         # 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n</code></pre> insertion_sort.go<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunc insertionSort(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := 1; i &lt; len(nums); i++ {\nbase := nums[i]\nj := i - 1\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nfor j &gt;= 0 &amp;&amp; nums[j] &gt; base {\nnums[j+1] = nums[j] // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--\n}\nnums[j+1] = base // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.js<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunction insertionSort(nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (let i = 1; i &lt; nums.length; i++) {\nlet base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.ts<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunction insertionSort(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (let i = 1; i &lt; nums.length; i++) {\nconst base = nums[i];\nlet j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j]; // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base; // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.c<pre><code>[class]{}-[func]{insertionSort}\n</code></pre> insertion_sort.cs<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.Length; i++)\n{\nint bas = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; bas)\n{\nnums[j + 1] = nums[j]; // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = bas;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.swift<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunc insertionSort(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor i in stride(from: 1, to: nums.count, by: 1) {\nlet base = nums[i]\nvar j = i - 1\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile j &gt;= 0, nums[j] &gt; base {\nnums[j + 1] = nums[j] // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj -= 1\n}\nnums[j + 1] = base // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.zig<pre><code>// \u63d2\u5165\u6392\u5e8f\nfn insertionSort(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nvar i: usize = 1;\nwhile (i &lt; nums.len) : (i += 1) {\nvar base = nums[i];\nvar j: usize = i;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 1 and nums[j - 1] &gt; base) : (j -= 1) {\nnums[j] = nums[j - 1];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\n}\nnums[j] = base;             // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre>"},{"location":"chapter_sorting/insertion_sort/#1132","title":"11.3.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u5404\u8f6e\u63d2\u5165\u64cd\u4f5c\u5faa\u73af \\(n - 1\\) , \\(n-2\\) , \\(\\cdots\\) , \\(2\\) , \\(1\\) \u6b21\uff0c\u6c42\u548c\u4e3a \\(\\frac{(n - 1) n}{2}\\) \uff0c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 \\(i\\) , \\(j\\) \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u6307\u9488\u53d8\u91cf\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u7a33\u5b9a\u6392\u5e8f\uff1a\u4e0d\u4ea4\u6362\u76f8\u7b49\u5143\u7d20\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u6700\u4f73\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\)  \u3002</p>"},{"location":"chapter_sorting/insertion_sort/#1133-vs","title":"11.3.3. \u63d2\u5165\u6392\u5e8f vs \u5192\u6ce1\u6392\u5e8f","text":"<p>Question</p> <p>\u867d\u7136\u300c\u63d2\u5165\u6392\u5e8f\u300d\u548c\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u4e3a \\(O(n^2)\\) \uff0c\u4f46\u5b9e\u9645\u8fd0\u884c\u901f\u5ea6\u5374\u6709\u5f88\u5927\u5dee\u522b\uff0c\u8fd9\u662f\u4e3a\u4ec0\u4e48\u5462\uff1f</p> <p>\u56de\u987e\u590d\u6742\u5ea6\u5206\u6790\uff0c\u4e24\u4e2a\u65b9\u6cd5\u7684\u5faa\u73af\u6b21\u6570\u90fd\u662f \\(\\frac{(n - 1) n}{2}\\) \u3002\u4f46\u4e0d\u540c\u7684\u662f\uff0c\u300c\u5192\u6ce1\u64cd\u4f5c\u300d\u662f\u5728\u505a \u5143\u7d20\u4ea4\u6362\uff0c\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u4e34\u65f6\u53d8\u91cf\u5b9e\u73b0\uff0c\u5171 3 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u800c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u662f\u5728\u505a \u8d4b\u503c\uff0c\u53ea\u9700 1 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u56e0\u6b64\uff0c\u53ef\u4ee5\u7c97\u7565\u4f30\u8ba1\u51fa\u5192\u6ce1\u6392\u5e8f\u7684\u8ba1\u7b97\u5f00\u9500\u7ea6\u4e3a\u63d2\u5165\u6392\u5e8f\u7684 3 \u500d\u3002</p> <p>\u63d2\u5165\u6392\u5e8f\u8fd0\u884c\u901f\u5ea6\u5feb\uff0c\u5e76\u4e14\u5177\u6709\u539f\u5730\u3001\u7a33\u5b9a\u3001\u81ea\u9002\u5e94\u7684\u4f18\u70b9\uff0c\u56e0\u6b64\u5f88\u53d7\u6b22\u8fce\u3002\u5b9e\u9645\u4e0a\uff0c\u5305\u62ec Java \u5728\u5185\u7684\u8bb8\u591a\u7f16\u7a0b\u8bed\u8a00\u7684\u6392\u5e8f\u5e93\u51fd\u6570\u7684\u5b9e\u73b0\u90fd\u7528\u5230\u4e86\u63d2\u5165\u6392\u5e8f\u3002\u5e93\u51fd\u6570\u7684\u5927\u81f4\u601d\u8def\uff1a</p> <ul> <li>\u5bf9\u4e8e \u957f\u6570\u7ec4\uff0c\u91c7\u7528\u57fa\u4e8e\u5206\u6cbb\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4f8b\u5982\u300c\u5feb\u901f\u6392\u5e8f\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \uff1b</li> <li>\u5bf9\u4e8e \u77ed\u6570\u7ec4\uff0c\u76f4\u63a5\u4f7f\u7528\u300c\u63d2\u5165\u6392\u5e8f\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff1b</li> </ul> <p>\u5728\u6570\u7ec4\u8f83\u77ed\u65f6\uff0c\u590d\u6742\u5ea6\u4e2d\u7684\u5e38\u6570\u9879\uff08\u5373\u6bcf\u8f6e\u4e2d\u7684\u5355\u5143\u64cd\u4f5c\u6570\u91cf\uff09\u5360\u4e3b\u5bfc\u4f5c\u7528\uff0c\u6b64\u65f6\u63d2\u5165\u6392\u5e8f\u8fd0\u884c\u5730\u66f4\u5feb\u3002\u8fd9\u4e2a\u73b0\u8c61\u4e0e\u300c\u7ebf\u6027\u67e5\u627e\u300d\u548c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7684\u60c5\u51b5\u7c7b\u4f3c\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/","title":"11.1. \u6392\u5e8f\u7b80\u4ecb","text":"<p>\u300c\u6392\u5e8f\u7b97\u6cd5 Sorting Algorithm\u300d\u4f7f\u5f97\u5217\u8868\u4e2d\u7684\u6240\u6709\u5143\u7d20\u6309\u7167\u4ece\u5c0f\u5230\u5927\u7684\u987a\u5e8f\u6392\u5217\u3002</p> <ul> <li>\u5f85\u6392\u5e8f\u7684\u5217\u8868\u7684 \u5143\u7d20\u7c7b\u578b \u53ef\u4ee5\u662f\u6574\u6570\u3001\u6d6e\u70b9\u6570\u3001\u5b57\u7b26\u3001\u6216\u5b57\u7b26\u4e32\uff1b</li> <li>\u6392\u5e8f\u7b97\u6cd5\u53ef\u4ee5\u6839\u636e\u9700\u8981\u8bbe\u5b9a \u5224\u65ad\u89c4\u5219\uff0c\u4f8b\u5982\u6570\u5b57\u5927\u5c0f\u3001\u5b57\u7b26 ASCII \u7801\u987a\u5e8f\u3001\u81ea\u5b9a\u4e49\u89c4\u5219\uff1b</li> </ul> <p></p> <p> Fig. \u6392\u5e8f\u4e2d\u7684\u4e0d\u540c\u5143\u7d20\u7c7b\u578b\u548c\u5224\u65ad\u89c4\u5219 </p>"},{"location":"chapter_sorting/intro_to_sort/#1111","title":"11.1.1. \u8bc4\u4ef7\u7ef4\u5ea6","text":"<p>\u6392\u5e8f\u7b97\u6cd5\u4e3b\u8981\u53ef\u6839\u636e \u7a33\u5b9a\u6027 \u3001\u5c31\u5730\u6027 \u3001\u81ea\u9002\u5e94\u6027 \u3001\u6bd4\u8f83\u7c7b \u6765\u5206\u7c7b\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_1","title":"\u7a33\u5b9a\u6027","text":"<ul> <li>\u300c\u7a33\u5b9a\u6392\u5e8f\u300d\u5728\u5b8c\u6210\u6392\u5e8f\u540e\uff0c\u4e0d\u6539\u53d8 \u76f8\u7b49\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> <li>\u300c\u975e\u7a33\u5b9a\u6392\u5e8f\u300d\u5728\u5b8c\u6210\u6392\u5e8f\u540e\uff0c\u76f8\u7b49\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u76f8\u5bf9\u4f4d\u7f6e \u53ef\u80fd\u88ab\u6539\u53d8\u3002</li> </ul> <p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u5b58\u50a8\u5b66\u751f\u4fe1\u606f\u7684\u8868\u683c\uff0c\u7b2c 1, 2 \u5217\u5206\u522b\u662f\u59d3\u540d\u548c\u5e74\u9f84\u3002\u90a3\u4e48\u5728\u4ee5\u4e0b\u793a\u4f8b\u4e2d\uff0c\u300c\u975e\u7a33\u5b9a\u6392\u5e8f\u300d\u4f1a\u5bfc\u81f4\u8f93\u5165\u6570\u636e\u7684\u6709\u5e8f\u6027\u4e22\u5931\u3002\u56e0\u6b64\u300c\u7a33\u5b9a\u6392\u5e8f\u300d\u662f\u5f88\u597d\u7684\u7279\u6027\uff0c\u5728\u591a\u7ea7\u6392\u5e8f\u4e2d\u662f\u5fc5\u987b\u7684\u3002</p> <pre><code>  # \u8f93\u5165\u6570\u636e\u662f\u6309\u7167\u59d3\u540d\u6392\u5e8f\u597d\u7684\n# (name, age)\n('A', 19)\n('B', 18)\n('C', 21)\n('D', 19)\n('E', 23)\n# \u5047\u8bbe\u4f7f\u7528\u975e\u7a33\u5b9a\u6392\u5e8f\u7b97\u6cd5\u6309\u5e74\u9f84\u6392\u5e8f\u5217\u8868\uff0c\n# \u7ed3\u679c\u4e2d ('D', 19) \u548c ('A', 19) \u7684\u76f8\u5bf9\u4f4d\u7f6e\u6539\u53d8\uff0c\n# \u8f93\u5165\u6570\u636e\u6309\u59d3\u540d\u6392\u5e8f\u7684\u6027\u8d28\u4e22\u5931\n('B', 18)\n('D', 19)\n('A', 19)  ('C', 21)\n('E', 23)\n</code></pre>"},{"location":"chapter_sorting/intro_to_sort/#_2","title":"\u5c31\u5730\u6027","text":"<ul> <li>\u300c\u539f\u5730\u6392\u5e8f\u300d\u65e0\u9700\u8f85\u52a9\u6570\u636e\uff0c\u4e0d\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff1b</li> <li>\u300c\u975e\u539f\u5730\u6392\u5e8f\u300d\u9700\u8981\u501f\u52a9\u8f85\u52a9\u6570\u636e\uff0c\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff1b</li> </ul> <p>\u300c\u539f\u5730\u6392\u5e8f\u300d\u4e0d\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff0c\u53ef\u4ee5\u8282\u7ea6\u5185\u5b58\uff1b\u5e76\u4e14\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u7531\u4e8e\u6570\u636e\u64cd\u4f5c\u51cf\u5c11\uff0c\u539f\u5730\u6392\u5e8f\u7684\u8fd0\u884c\u6548\u7387\u4e5f\u66f4\u9ad8\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_3","title":"\u81ea\u9002\u5e94\u6027","text":"<ul> <li>\u300c\u81ea\u9002\u5e94\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53d7\u8f93\u5165\u6570\u636e\u5f71\u54cd\uff0c\u5373\u6700\u4f73 / \u6700\u5dee / \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u76f8\u7b49\u3002</li> <li>\u300c\u975e\u81ea\u9002\u5e94\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6052\u5b9a\uff0c\u4e0e\u8f93\u5165\u6570\u636e\u65e0\u5173\u3002</li> </ul> <p>\u6211\u4eec\u5e0c\u671b \u6700\u5dee = \u5e73\u5747\uff0c\u5373\u4e0d\u5e0c\u671b\u6392\u5e8f\u7b97\u6cd5\u7684\u8fd0\u884c\u6548\u7387\u5728\u67d0\u4e9b\u8f93\u5165\u6570\u636e\u4e0b\u53d1\u751f\u52a3\u5316\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_4","title":"\u6bd4\u8f83\u7c7b","text":"<ul> <li>\u300c\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u57fa\u4e8e\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u7b97\u5b50\uff08\u5c0f\u4e8e\u3001\u76f8\u7b49\u3001\u5927\u4e8e\uff09\u6765\u51b3\u5b9a\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> <li>\u300c\u975e\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u4e0d\u57fa\u4e8e\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u7b97\u5b50\u6765\u51b3\u5b9a\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> </ul> <p>\u300c\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6700\u4f18\u4e3a \\(O(n \\log n)\\) \uff1b\u800c\u300c\u975e\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u53ef\u4ee5\u8fbe\u5230 \\(O(n)\\) \u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u4f46\u901a\u7528\u6027\u8f83\u5dee\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#1112","title":"11.1.2. \u7406\u60f3\u6392\u5e8f\u7b97\u6cd5","text":"<ul> <li>\u8fd0\u884c\u5feb\uff0c\u5373\u65f6\u95f4\u590d\u6742\u5ea6\u4f4e\uff1b</li> <li>\u7a33\u5b9a\u6392\u5e8f\uff0c\u5373\u6392\u5e8f\u540e\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u4e0d\u53d8\u5316\uff1b</li> <li>\u539f\u5730\u6392\u5e8f\uff0c\u5373\u8fd0\u884c\u4e2d\u4e0d\u4f7f\u7528\u989d\u5916\u7684\u8f85\u52a9\u7a7a\u95f4\uff1b</li> <li>\u6b63\u5411\u81ea\u9002\u5e94\u6027\uff0c\u5373\u7b97\u6cd5\u7684\u8fd0\u884c\u6548\u7387\u4e0d\u4f1a\u5728\u67d0\u4e9b\u8f93\u5165\u6570\u636e\u4e0b\u53d1\u751f\u52a3\u5316\uff1b</li> </ul> <p>\u7136\u800c\uff0c\u6ca1\u6709\u6392\u5e8f\u7b97\u6cd5\u540c\u65f6\u5177\u5907\u4ee5\u4e0a\u6240\u6709\u7279\u6027\u3002\u6392\u5e8f\u7b97\u6cd5\u7684\u9009\u578b\u4f7f\u7528\u53d6\u51b3\u4e8e\u5177\u4f53\u7684\u5217\u8868\u7c7b\u578b\u3001\u5217\u8868\u957f\u5ea6\u3001\u5143\u7d20\u5206\u5e03\u7b49\u56e0\u7d20\u3002</p>"},{"location":"chapter_sorting/merge_sort/","title":"11.5. \u5f52\u5e76\u6392\u5e8f","text":"<p>\u300c\u5f52\u5e76\u6392\u5e8f Merge Sort\u300d\u662f\u7b97\u6cd5\u4e2d\u201c\u5206\u6cbb\u601d\u60f3\u201d\u7684\u5178\u578b\u4f53\u73b0\uff0c\u5176\u6709\u300c\u5212\u5206\u300d\u548c\u300c\u5408\u5e76\u300d\u4e24\u4e2a\u9636\u6bb5\uff1a</p> <ol> <li>\u5212\u5206\u9636\u6bb5\uff1a\u901a\u8fc7\u9012\u5f52\u4e0d\u65ad \u5c06\u6570\u7ec4\u4ece\u4e2d\u70b9\u4f4d\u7f6e\u5212\u5206\u5f00\uff0c\u5c06\u957f\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\u8f6c\u5316\u4e3a\u77ed\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\uff1b</li> <li>\u5408\u5e76\u9636\u6bb5\uff1a\u5212\u5206\u5230\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\uff0c\u5f00\u59cb\u5411\u4e0a\u5408\u5e76\uff0c\u4e0d\u65ad\u5c06 \u5de6\u3001\u53f3\u4e24\u4e2a\u77ed\u6392\u5e8f\u6570\u7ec4 \u5408\u5e76\u4e3a \u4e00\u4e2a\u957f\u6392\u5e8f\u6570\u7ec4\uff0c\u76f4\u81f3\u5408\u5e76\u81f3\u539f\u6570\u7ec4\u65f6\u5b8c\u6210\u6392\u5e8f\uff1b</li> </ol> <p></p> <p> Fig. \u5f52\u5e76\u6392\u5e8f\u4e24\u9636\u6bb5\uff1a\u5212\u5206\u4e0e\u5408\u5e76 </p>"},{"location":"chapter_sorting/merge_sort/#1151","title":"11.5.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<p>\u300c\u9012\u5f52\u5212\u5206\u300d \u4ece\u9876\u81f3\u5e95\u9012\u5f52\u5730 \u5c06\u6570\u7ec4\u4ece\u4e2d\u70b9\u5207\u4e3a\u4e24\u4e2a\u5b50\u6570\u7ec4\uff0c\u76f4\u81f3\u957f\u5ea6\u4e3a 1 \uff1b</p> <ol> <li>\u8ba1\u7b97\u6570\u7ec4\u4e2d\u70b9 <code>mid</code> \uff0c\u9012\u5f52\u5212\u5206\u5de6\u5b50\u6570\u7ec4\uff08\u533a\u95f4 <code>[left, mid]</code> \uff09\u548c\u53f3\u5b50\u6570\u7ec4\uff08\u533a\u95f4 <code>[mid + 1, right]</code> \uff09\uff1b</li> <li>\u9012\u5f52\u6267\u884c <code>1.</code> \u6b65\u9aa4\uff0c\u76f4\u81f3\u5b50\u6570\u7ec4\u533a\u95f4\u957f\u5ea6\u4e3a 1 \u65f6\uff0c\u7ec8\u6b62\u9012\u5f52\u5212\u5206\uff1b</li> </ol> <p>\u300c\u56de\u6eaf\u5408\u5e76\u300d \u4ece\u5e95\u81f3\u9876\u5730\u5c06\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\u5408\u5e76\u4e3a\u4e00\u4e2a \u6709\u5e8f\u6570\u7ec4 \uff1b</p> <p>\u9700\u8981\u6ce8\u610f\uff0c\u7531\u4e8e\u4ece\u957f\u5ea6\u4e3a 1 \u7684\u5b50\u6570\u7ec4\u5f00\u59cb\u5408\u5e76\uff0c\u6240\u4ee5 \u6bcf\u4e2a\u5b50\u6570\u7ec4\u90fd\u662f\u6709\u5e8f\u7684\u3002\u56e0\u6b64\uff0c\u5408\u5e76\u4efb\u52a1\u672c\u8d28\u662f\u8981 \u5c06\u4e24\u4e2a\u6709\u5e8f\u5b50\u6570\u7ec4\u5408\u5e76\u4e3a\u4e00\u4e2a\u6709\u5e8f\u6570\u7ec4\u3002</p> Step1Step2Step3Step4Step5Step6Step7Step8Step9Step10 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5f52\u5e76\u6392\u5e8f\u7684\u9012\u5f52\u987a\u5e8f\u5c31\u662f\u4e8c\u53c9\u6811\u7684\u300c\u540e\u5e8f\u904d\u5386\u300d\u3002</p> <ul> <li>\u540e\u5e8f\u904d\u5386\uff1a\u5148\u9012\u5f52\u5de6\u5b50\u6811\u3001\u518d\u9012\u5f52\u53f3\u5b50\u6811\u3001\u6700\u540e\u5904\u7406\u6839\u7ed3\u70b9\u3002</li> <li>\u5f52\u5e76\u6392\u5e8f\uff1a\u5148\u9012\u5f52\u5de6\u5b50\u6811\u3001\u518d\u9012\u5f52\u53f3\u5b50\u6811\u3001\u6700\u540e\u5904\u7406\u5408\u5e76\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig merge_sort.java<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(int[] nums, int left, int mid, int right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nint[] tmp = Arrays.copyOfRange(nums, left, right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(int[] nums, int left, int right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.cpp<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(vector&lt;int&gt;&amp; nums, int left, int mid, int right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nvector&lt;int&gt; tmp(nums.begin() + left, nums.begin() + right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.py<pre><code>\"\"\" \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 \"\"\"\n# \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n# \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\ndef merge(nums, left, mid, right):\n# \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4 \u501f\u52a9 copy\u6a21\u5757\ntmp = nums[left:right + 1]\n# \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nleft_start, left_end = left - left, mid - left\n# \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nright_start, right_end = mid + 1 - left, right - left\n# i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\ni, j = left_start, right_start\n# \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k in range(left, right + 1):\n# \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; left_end:\nnums[k] = tmp[j]\nj += 1\n# \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelif j &gt; right_end or tmp[i] &lt;= tmp[j]:\nnums[k] = tmp[i]\ni += 1\n# \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse:\nnums[k] = tmp[j]\nj += 1\n\"\"\" \u5f52\u5e76\u6392\u5e8f \"\"\"\ndef merge_sort(nums, left, right):\n# \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right:\nreturn                        # \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n# \u5212\u5206\u9636\u6bb5\nmid = (left + right) // 2         # \u8ba1\u7b97\u4e2d\u70b9\nmerge_sort(nums, left, mid)       # \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmerge_sort(nums, mid + 1, right)  # \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n# \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right)\n</code></pre> merge_sort.go<pre><code>/*\n    \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\n    \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n    \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\n*/\nfunc merge(nums []int, left, mid, right int) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4 \u501f\u52a9 copy \u6a21\u5757\ntmp := make([]int, right-left+1)\nfor i := left; i &lt;= right; i++ {\ntmp[i-left] = nums[i]\n}\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nleftStart, leftEnd := left-left, mid-left\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nrightStart, rightEnd := mid+1-left, right-left\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\ni, j := leftStart, rightStart\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k := left; k &lt;= right; k++ {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; leftEnd {\nnums[k] = tmp[j]\nj++\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if j &gt; rightEnd || tmp[i] &lt;= tmp[j] {\nnums[k] = tmp[i]\ni++\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j]\nj++\n}\n}\n}\nfunc mergeSort(nums []int, left, right int) {\n// \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right {\nreturn\n}\n// \u5212\u5206\u9636\u6bb5\nmid := (left + right) / 2\nmergeSort(nums, left, mid)\nmergeSort(nums, mid+1, right)\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right)\n}\n</code></pre> merge_sort.js<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nfunction merge(nums, left, mid, right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = nums.slice(left, right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nlet leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nlet rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nlet i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (let k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd) {\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if (j &gt; rightEnd || tmp[i] &lt;= tmp[j]) {\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j++];\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunction mergeSort(nums, left, right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nlet mid = Math.floor((left + right) / 2);    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.ts<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nfunction merge(nums: number[], left: number, mid: number, right: number): void {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = nums.slice(left, right + 1);\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nlet i = leftStart, j = rightStart;\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (let k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd) {\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if (j &gt; rightEnd || tmp[i] &lt;= tmp[j]) {\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j++];\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunction mergeSort(nums: number[], left: number, right: number): void {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return; // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nlet mid = Math.floor((left + right) / 2); // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid); // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.c<pre><code>\n</code></pre> merge_sort.cs<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(int[] nums, int left, int mid, int right)\n{\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nint[] tmp = nums[left..(right + 1)];\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++)\n{\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(int[] nums, int left, int right)\n{\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.swift<pre><code>/**\n* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\n* \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n* \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\n*/\nfunc merge(nums: inout [Int], left: Int, mid: Int, right: Int) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = Array(nums[left ..&lt; (right + 1)])\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet leftStart = left - left\nlet leftEnd = mid - left\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet rightStart = mid + 1 - left\nlet rightEnd = right - left\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nvar i = leftStart\nvar j = rightStart\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k in left ... right {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; leftEnd {\nnums[k] = tmp[j]\nj += 1\n}\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if j &gt; rightEnd || tmp[i] &lt;= tmp[j] {\nnums[k] = tmp[i]\ni += 1\n}\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse {\nnums[k] = tmp[j]\nj += 1\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunc mergeSort(nums: inout [Int], left: Int, right: Int) {\n// \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right { // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nreturn\n}\n// \u5212\u5206\u9636\u6bb5\nlet mid = (left + right) / 2 // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums: &amp;nums, left: left, right: mid) // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums: &amp;nums, left: mid + 1, right: right) // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums: &amp;nums, left: left, mid: mid, right: right)\n}\n</code></pre> merge_sort.zig<pre><code>\n</code></pre> <p>\u4e0b\u9762\u91cd\u70b9\u89e3\u91ca\u4e00\u4e0b\u5408\u5e76\u65b9\u6cd5 <code>merge()</code> \u7684\u6d41\u7a0b\uff1a</p> <ol> <li>\u521d\u59cb\u5316\u4e00\u4e2a\u8f85\u52a9\u6570\u7ec4 <code>tmp</code> \u6682\u5b58\u5f85\u5408\u5e76\u533a\u95f4 <code>[left, right]</code> \u5185\u7684\u5143\u7d20\uff0c\u540e\u7eed\u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 <code>nums</code> \u7684\u5143\u7d20\u6765\u5b9e\u73b0\u5408\u5e76\uff1b</li> <li>\u521d\u59cb\u5316\u6307\u9488 <code>i</code> , <code>j</code> , <code>k</code> \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u3001\u539f\u6570\u7ec4\u7684\u9996\u5143\u7d20\uff1b</li> <li>\u5faa\u73af\u5224\u65ad <code>tmp[i]</code> \u548c <code>tmp[j]</code> \u7684\u5927\u5c0f\uff0c\u5c06\u8f83\u5c0f\u7684\u5148\u8986\u76d6\u81f3 <code>nums[k]</code> \uff0c\u6307\u9488 <code>i</code> , <code>j</code> \u6839\u636e\u5224\u65ad\u7ed3\u679c\u4ea4\u66ff\u524d\u8fdb\uff08\u6307\u9488 <code>k</code> \u4e5f\u524d\u8fdb\uff09\uff0c\u76f4\u81f3\u4e24\u4e2a\u5b50\u6570\u7ec4\u90fd\u904d\u5386\u5b8c\uff0c\u5373\u53ef\u5b8c\u6210\u5408\u5e76\u3002</li> </ol> <p>\u5408\u5e76\u65b9\u6cd5 <code>merge()</code> \u4ee3\u7801\u4e2d\u7684\u4e3b\u8981\u96be\u70b9\uff1a</p> <ul> <li><code>nums</code> \u7684\u5f85\u5408\u5e76\u533a\u95f4\u4e3a <code>[left, right]</code> \uff0c\u800c\u56e0\u4e3a <code>tmp</code> \u53ea\u590d\u5236\u4e86 <code>nums</code> \u8be5\u533a\u95f4\u5143\u7d20\uff0c\u6240\u4ee5 <code>tmp</code> \u5bf9\u5e94\u533a\u95f4\u4e3a <code>[0, right - left]</code> \uff0c\u9700\u8981\u7279\u522b\u6ce8\u610f\u4ee3\u7801\u4e2d\u5404\u4e2a\u53d8\u91cf\u7684\u542b\u4e49\u3002</li> <li>\u5224\u65ad <code>tmp[i]</code> \u548c <code>tmp[j]</code> \u7684\u5927\u5c0f\u7684\u64cd\u4f5c\u4e2d\uff0c\u8fd8 \u9700\u8003\u8651\u5f53\u5b50\u6570\u7ec4\u904d\u5386\u5b8c\u6210\u540e\u7684\u7d22\u5f15\u8d8a\u754c\u95ee\u9898\uff0c\u5373 <code>i &gt; leftEnd</code> \u548c <code>j &gt; rightEnd</code> \u7684\u60c5\u51b5\uff0c\u7d22\u5f15\u8d8a\u754c\u7684\u4f18\u5148\u7ea7\u662f\u6700\u9ad8\u7684\uff0c\u4f8b\u5982\u5982\u679c\u5de6\u5b50\u6570\u7ec4\u5df2\u7ecf\u88ab\u5408\u5e76\u5b8c\u4e86\uff0c\u90a3\u4e48\u4e0d\u7528\u7ee7\u7eed\u5224\u65ad\uff0c\u76f4\u63a5\u5408\u5e76\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u5373\u53ef\u3002</li> </ul>"},{"location":"chapter_sorting/merge_sort/#1152","title":"11.5.2. \u7b97\u6cd5\u7279\u6027","text":"<ul> <li>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n \\log n)\\) \uff1a\u5212\u5206\u5f62\u6210\u9ad8\u5ea6\u4e3a \\(\\log n\\) \u7684\u9012\u5f52\u6811\uff0c\u6bcf\u5c42\u5408\u5e76\u7684\u603b\u64cd\u4f5c\u6570\u91cf\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n \\log n)\\) \u65f6\u95f4\u3002</li> <li>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u9700\u501f\u52a9\u8f85\u52a9\u6570\u7ec4\u5b9e\u73b0\u5408\u5e76\uff0c\u4f7f\u7528 \\(O(n)\\) \u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\uff1b\u9012\u5f52\u6df1\u5ea6\u4e3a \\(\\log n\\) \uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</li> <li>\u975e\u539f\u5730\u6392\u5e8f\uff1a\u8f85\u52a9\u6570\u7ec4\u9700\u8981\u4f7f\u7528 \\(O(n)\\) \u989d\u5916\u7a7a\u95f4\u3002</li> <li>\u7a33\u5b9a\u6392\u5e8f\uff1a\u5728\u5408\u5e76\u65f6\u53ef\u4fdd\u8bc1\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u4e0d\u53d8\u3002</li> <li>\u975e\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u5bf9\u4e8e\u4efb\u610f\u8f93\u5165\u6570\u636e\uff0c\u5f52\u5e76\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u76f8\u540c\u3002</li> </ul>"},{"location":"chapter_sorting/merge_sort/#1153","title":"11.5.3. \u94fe\u8868\u6392\u5e8f *","text":"<p>\u5f52\u5e76\u6392\u5e8f\u6709\u4e00\u4e2a\u5f88\u7279\u522b\u7684\u4f18\u52bf\uff0c\u7528\u4e8e\u6392\u5e8f\u94fe\u8868\u65f6\u6709\u5f88\u597d\u7684\u6027\u80fd\u8868\u73b0\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u53ef\u88ab\u4f18\u5316\u81f3 \\(O(1)\\) \uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u7531\u4e8e\u94fe\u8868\u53ef\u4ec5\u901a\u8fc7\u6539\u53d8\u6307\u9488\u6765\u5b9e\u73b0\u7ed3\u70b9\u589e\u5220\uff0c\u56e0\u6b64\u201c\u5c06\u4e24\u4e2a\u77ed\u6709\u5e8f\u94fe\u8868\u5408\u5e76\u4e3a\u4e00\u4e2a\u957f\u6709\u5e8f\u94fe\u8868\u201d\u65e0\u9700\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff0c\u5373\u56de\u6eaf\u5408\u5e76\u9636\u6bb5\u4e0d\u7528\u50cf\u6392\u5e8f\u6570\u7ec4\u4e00\u6837\u5efa\u7acb\u8f85\u52a9\u6570\u7ec4 <code>tmp</code> \uff1b</li> <li>\u901a\u8fc7\u4f7f\u7528\u300c\u8fed\u4ee3\u300d\u4ee3\u66ff\u300c\u9012\u5f52\u5212\u5206\u300d\uff0c\u53ef\u7701\u53bb\u9012\u5f52\u4f7f\u7528\u7684\u6808\u5e27\u7a7a\u95f4\uff1b</li> </ul> <p>\u8be6\u60c5\u53c2\u8003\uff1a148. \u6392\u5e8f\u94fe\u8868</p>"},{"location":"chapter_sorting/quick_sort/","title":"11.4. \u5feb\u901f\u6392\u5e8f","text":"<p>\u300c\u5feb\u901f\u6392\u5e8f Quick Sort\u300d\u662f\u4e00\u79cd\u57fa\u4e8e\u201c\u5206\u6cbb\u601d\u60f3\u201d\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u901f\u5ea6\u5f88\u5feb\u3001\u5e94\u7528\u5f88\u5e7f\u3002</p> <p>\u5feb\u901f\u6392\u5e8f\u7684\u6838\u5fc3\u64cd\u4f5c\u4e3a\u300c\u54e8\u5175\u5212\u5206\u300d\uff0c\u5176\u76ee\u6807\u4e3a\uff1a\u9009\u53d6\u6570\u7ec4\u67d0\u4e2a\u5143\u7d20\u4e3a \u57fa\u51c6\u6570\uff0c\u5c06\u6240\u6709\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\u79fb\u52a8\u81f3\u5176\u5de6\u8fb9\uff0c\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\u79fb\u52a8\u81f3\u5176\u53f3\u8fb9\u3002\u300c\u54e8\u5175\u5212\u5206\u300d\u7684\u5b9e\u73b0\u6d41\u7a0b\u4e3a\uff1a</p> <ol> <li>\u4ee5\u6570\u7ec4\u6700\u5de6\u7aef\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u6570\uff0c\u521d\u59cb\u5316\u4e24\u4e2a\u6307\u9488 <code>i</code> , <code>j</code> \u6307\u5411\u6570\u7ec4\u4e24\u7aef\uff1b</li> <li>\u8bbe\u7f6e\u4e00\u4e2a\u5faa\u73af\uff0c\u6bcf\u8f6e\u4e2d\u4f7f\u7528 <code>i</code> / <code>j</code> \u5206\u522b\u5bfb\u627e\u9996\u4e2a\u6bd4\u57fa\u51c6\u6570\u5927 / \u5c0f\u7684\u5143\u7d20\uff0c\u5e76\u4ea4\u6362\u6b64\u4e24\u5143\u7d20\uff1b</li> <li>\u4e0d\u65ad\u5faa\u73af\u6b65\u9aa4 <code>2.</code> \uff0c\u76f4\u81f3 <code>i</code> , <code>j</code> \u76f8\u9047\u65f6\u8df3\u51fa\uff0c\u6700\u7ec8\u628a\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u4e2a\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\uff1b</li> </ol> <p>\u300c\u54e8\u5175\u5212\u5206\u300d\u6267\u884c\u5b8c\u6bd5\u540e\uff0c\u539f\u6570\u7ec4\u88ab\u5212\u5206\u6210\u4e24\u4e2a\u90e8\u5206\uff0c\u5373 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4\uff0c\u4e14\u6ee1\u8db3 \u5de6\u5b50\u6570\u7ec4\u4efb\u610f\u5143\u7d20 &lt; \u57fa\u51c6\u6570 &lt; \u53f3\u5b50\u6570\u7ec4\u4efb\u610f\u5143\u7d20\u3002\u56e0\u6b64\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u53ea\u9700\u8981\u6392\u5e8f\u4e24\u4e2a\u5b50\u6570\u7ec4\u5373\u53ef\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p> Fig. \u54e8\u5175\u5212\u5206 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(int[] nums, int i, int j) {\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(int[] nums, int left, int right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(vector&lt;int&gt;&amp; nums, int i, int j) {\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u54e8\u5175\u5212\u5206 \"\"\"\ndef partition(self, nums, left, right):\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j = left, right\nwhile i &lt; j:\nwhile i &lt; j and nums[j] &gt;= nums[left]:\nj -= 1  # \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile i &lt; j and nums[i] &lt;= nums[left]:\ni += 1  # \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n# \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n# \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i  # \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n</code></pre> quick_sort.go<pre><code>/* \u54e8\u5175\u5212\u5206 */\nfunc (q *quickSort) partition(nums []int, left, right int) int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j := left, right\nfor i &lt; j {\nfor i &lt; j &amp;&amp; nums[j] &gt;= nums[left] {\nj-- // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nfor i &lt; j &amp;&amp; nums[i] &lt;= nums[left] {\ni++ // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n}\n// \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.js<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nswap(nums, i, j) {\nlet tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\npartition(nums, left, right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nswap(nums: number[], i: number, j: number): void {\nlet tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\npartition(nums: number[], left: number, right: number): number {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSort}-[func]{partition}\n</code></pre> quick_sort.cs<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(int[] nums, int i, int j)\n{\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(int[] nums, int left, int right)\n{\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j)\n{\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nfunc swap(nums: inout [Int], i: Int, j: Int) {\nlet tmp = nums[i]\nnums[i] = nums[j]\nnums[j] = tmp\n}\n/* \u54e8\u5175\u5212\u5206 */\nfunc partition(nums: inout [Int], left: Int, right: Int) -&gt; Int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left\nvar j = right\nwhile i &lt; j {\nwhile i &lt; j, nums[j] &gt;= nums[left] {\nj -= 1 // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile i &lt; j, nums[i] &lt;= nums[left] {\ni += 1 // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nswap(nums: &amp;nums, i: i, j: j) // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums: &amp;nums, i: i, j: left) // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.zig<pre><code>// \u5143\u7d20\u4ea4\u6362\nfn swap(nums: []i32, i: usize, j: usize) void {\nvar tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n// \u54e8\u5175\u5212\u5206\nfn partition(nums: []i32, left: usize, right: usize) usize {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left;\nvar j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j and nums[j] &gt;= nums[left]) j -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j and nums[i] &lt;= nums[left]) i += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j);   // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);    // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;               // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> <p>\u5feb\u901f\u6392\u5e8f\u7684\u5206\u6cbb\u601d\u60f3</p> <p>\u54e8\u5175\u5212\u5206\u7684\u5b9e\u8d28\u662f\u5c06 \u4e00\u4e2a\u957f\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898 \u7b80\u5316\u4e3a \u4e24\u4e2a\u77ed\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\u3002</p>"},{"location":"chapter_sorting/quick_sort/#1141","title":"11.4.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u9996\u5148\uff0c\u5bf9\u6570\u7ec4\u6267\u884c\u4e00\u6b21\u300c\u54e8\u5175\u5212\u5206\u300d\uff0c\u5f97\u5230\u5f85\u6392\u5e8f\u7684 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4\uff1b</li> <li>\u63a5\u4e0b\u6765\uff0c\u5bf9 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4 \u5206\u522b \u9012\u5f52\u6267\u884c\u300c\u54e8\u5175\u5212\u5206\u300d\u2026\u2026</li> <li>\u76f4\u81f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6 \u7ec8\u6b62\u9012\u5f52\uff0c\u5373\u53ef\u5b8c\u6210\u5bf9\u6574\u4e2a\u6570\u7ec4\u7684\u6392\u5e8f\uff1b</li> </ol> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5feb\u901f\u6392\u5e8f\u548c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7684\u539f\u7406\u7c7b\u4f3c\uff0c\u90fd\u662f\u4ee5\u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u7f29\u5c0f\u5904\u7406\u533a\u95f4\u3002</p> <p></p> <p> Fig. \u5feb\u901f\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(int[] nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u5feb\u901f\u6392\u5e8f \"\"\"\ndef quick_sort(self, nums, left, right):\n# \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right:\nreturn\n# \u54e8\u5175\u5212\u5206\npivot = self.partition(nums, left, right)\n# \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nself.quick_sort(nums, left, pivot - 1)\nself.quick_sort(nums, pivot + 1, right)\n</code></pre> quick_sort.go<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nfunc (q *quickSort) quickSort(nums []int, left, right int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right {\nreturn\n}\n// \u54e8\u5175\u5212\u5206\npivot := q.partition(nums, left, right)\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nq.quickSort(nums, left, pivot-1)\nq.quickSort(nums, pivot+1, right)\n}\n</code></pre> quick_sort.js<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nquickSort(nums, left, right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) return;\n// \u54e8\u5175\u5212\u5206\nconst pivot = this.partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nthis.quickSort(nums, left, pivot - 1);\nthis.quickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nquickSort(nums: number[], left: number, right: number): void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) {\nreturn;\n}\n// \u54e8\u5175\u5212\u5206\nconst pivot = this.partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nthis.quickSort(nums, left, pivot - 1);\nthis.quickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSort}-[func]{quickSort}\n</code></pre> quick_sort.cs<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(int[] nums, int left, int right)\n{\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nfunc quickSort(nums: inout [Int], left: Int, right: Int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right {\nreturn\n}\n// \u54e8\u5175\u5212\u5206\nlet pivot = partition(nums: &amp;nums, left: left, right: right)\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums: &amp;nums, left: left, right: pivot - 1)\nquickSort(nums: &amp;nums, left: pivot + 1, right: right)\n}\n</code></pre> quick_sort.zig<pre><code>// \u5feb\u901f\u6392\u5e8f\nfn quickSort(nums: []i32, left: usize, right: usize) void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) return;\n// \u54e8\u5175\u5212\u5206\nvar pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre>"},{"location":"chapter_sorting/quick_sort/#1142","title":"11.4.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n \\log n)\\) \uff1a\u5e73\u5747\u60c5\u51b5\u4e0b\uff0c\u54e8\u5175\u5212\u5206\u7684\u9012\u5f52\u5c42\u6570\u4e3a \\(\\log n\\) \uff0c\u6bcf\u5c42\u4e2d\u7684\u603b\u5faa\u73af\u6570\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n \\log n)\\) \u65f6\u95f4\u3002</p> <p>\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u5c06\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6570\u7ec4\u5212\u5206\u4e3a\u957f\u5ea6\u4e3a \\(0\\) \u548c \\(n - 1\\) \u7684\u4e24\u4e2a\u5b50\u6570\u7ec4\uff0c\u6b64\u65f6\u9012\u5f52\u5c42\u6570\u8fbe\u5230 \\(n\\) \u5c42\uff0c\u6bcf\u5c42\u4e2d\u7684\u5faa\u73af\u6570\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u8f93\u5165\u6570\u7ec4\u5b8c\u5168\u5012\u5e8f\u4e0b\uff0c\u8fbe\u5230\u6700\u5dee\u9012\u5f52\u6df1\u5ea6 \\(n\\) \u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u53ea\u5728\u9012\u5f52\u4e2d\u4f7f\u7528 \\(O(\\log n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> <p>\u975e\u7a33\u5b9a\u6392\u5e8f\uff1a\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u53ef\u80fd\u6539\u53d8\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n^2)\\) \u3002</p>"},{"location":"chapter_sorting/quick_sort/#1143","title":"11.4.3. \u5feb\u6392\u4e3a\u4ec0\u4e48\u5feb\uff1f","text":"<p>\u4ece\u547d\u540d\u80fd\u591f\u770b\u51fa\uff0c\u5feb\u901f\u6392\u5e8f\u5728\u6548\u7387\u65b9\u9762\u4e00\u5b9a\u201c\u6709\u4e24\u628a\u5237\u5b50\u201d\u3002\u5feb\u901f\u6392\u5e8f\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u867d\u7136\u4e0e\u300c\u5f52\u5e76\u6392\u5e8f\u300d\u548c\u300c\u5806\u6392\u5e8f\u300d\u4e00\u81f4\uff0c\u4f46\u5b9e\u9645 \u6548\u7387\u66f4\u9ad8\uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u51fa\u73b0\u6700\u5dee\u60c5\u51b5\u7684\u6982\u7387\u5f88\u4f4e\uff1a\u867d\u7136\u5feb\u901f\u6392\u5e8f\u7684\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff0c\u4e0d\u5982\u5f52\u5e76\u6392\u5e8f\uff0c\u4f46\u7edd\u5927\u90e8\u5206\u60c5\u51b5\u4e0b\uff0c\u5feb\u901f\u6392\u5e8f\u53ef\u4ee5\u8fbe\u5230 \\(O(n \\log n)\\) \u7684\u590d\u6742\u5ea6\u3002</li> <li>\u7f13\u5b58\u4f7f\u7528\u6548\u7387\u9ad8\uff1a\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u65f6\uff0c\u5c06\u6574\u4e2a\u5b50\u6570\u7ec4\u52a0\u8f7d\u5165\u7f13\u5b58\u4e2d\uff0c\u8bbf\u95ee\u5143\u7d20\u6548\u7387\u5f88\u9ad8\u3002\u800c\u8bf8\u5982\u300c\u5806\u6392\u5e8f\u300d\u9700\u8981\u8df3\u8dc3\u5f0f\u8bbf\u95ee\u5143\u7d20\uff0c\u56e0\u6b64\u4e0d\u5177\u6709\u6b64\u7279\u6027\u3002</li> <li>\u590d\u6742\u5ea6\u7684\u5e38\u6570\u7cfb\u6570\u4f4e\uff1a\u5728\u63d0\u53ca\u7684\u4e09\u79cd\u7b97\u6cd5\u4e2d\uff0c\u5feb\u901f\u6392\u5e8f\u7684 \u6bd4\u8f83\u3001\u8d4b\u503c\u3001\u4ea4\u6362 \u4e09\u79cd\u64cd\u4f5c\u7684\u603b\u4f53\u6570\u91cf\u6700\u5c11\uff08\u7c7b\u4f3c\u4e8e\u300c\u63d2\u5165\u6392\u5e8f\u300d\u5feb\u4e8e\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u7684\u539f\u56e0\uff09\u3002</li> </ul>"},{"location":"chapter_sorting/quick_sort/#1144","title":"11.4.4. \u57fa\u51c6\u6570\u4f18\u5316","text":"<p>\u666e\u901a\u5feb\u901f\u6392\u5e8f\u5728\u67d0\u4e9b\u8f93\u5165\u4e0b\u7684\u65f6\u95f4\u6548\u7387\u53d8\u5dee\u3002\u4e3e\u4e2a\u6781\u7aef\u4f8b\u5b50\uff0c\u5047\u8bbe\u8f93\u5165\u6570\u7ec4\u662f\u5b8c\u5168\u5012\u5e8f\u7684\uff0c\u7531\u4e8e\u6211\u4eec\u9009\u53d6\u6700\u5de6\u7aef\u5143\u7d20\u4e3a\u57fa\u51c6\u6570\uff0c\u90a3\u4e48\u5728\u54e8\u5175\u5212\u5206\u5b8c\u6210\u540e\uff0c\u57fa\u51c6\u6570\u88ab\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u53f3\u7aef\uff0c\u4ece\u800c \u5de6\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n - 1\\)\u3001\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a \\(0\\) \u3002\u8fd9\u6837\u8fdb\u4e00\u6b65\u9012\u5f52\u4e0b\u53bb\uff0c\u6bcf\u8f6e\u54e8\u5175\u5212\u5206\u540e\u7684\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u90fd\u4e3a \\(0\\) \uff0c\u5206\u6cbb\u7b56\u7565\u5931\u6548\uff0c\u5feb\u901f\u6392\u5e8f\u9000\u5316\u4e3a\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u4e86\u3002</p> <p>\u4e3a\u4e86\u5c3d\u91cf\u907f\u514d\u8fd9\u79cd\u60c5\u51b5\u53d1\u751f\uff0c\u6211\u4eec\u53ef\u4ee5\u4f18\u5316\u4e00\u4e0b\u57fa\u51c6\u6570\u7684\u9009\u53d6\u7b56\u7565\u3002\u9996\u5148\uff0c\u5728\u54e8\u5175\u5212\u5206\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5 \u968f\u673a\u9009\u53d6\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u6570\u3002\u4f46\u5982\u679c\u8fd0\u6c14\u5f88\u5dee\uff0c\u6bcf\u6b21\u90fd\u9009\u62e9\u5230\u6bd4\u8f83\u5dee\u7684\u57fa\u51c6\u6570\uff0c\u90a3\u4e48\u6548\u7387\u4f9d\u7136\u4e0d\u597d\u3002</p> <p>\u8fdb\u4e00\u6b65\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u6570\u7ec4\u4e2d\u9009\u53d6 3 \u4e2a\u5019\u9009\u5143\u7d20\uff08\u4e00\u822c\u4e3a\u6570\u7ec4\u7684\u9996\u3001\u5c3e\u3001\u4e2d\u70b9\u5143\u7d20\uff09\uff0c\u5e76\u5c06\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\u4f5c\u4e3a\u57fa\u51c6\u6570\uff0c\u8fd9\u6837\u57fa\u51c6\u6570\u201c\u65e2\u4e0d\u5927\u4e5f\u4e0d\u5c0f\u201d\u7684\u6982\u7387\u5c31\u5927\u5927\u63d0\u5347\u4e86\u3002\u5f53\u7136\uff0c\u5982\u679c\u6570\u7ec4\u5f88\u957f\u7684\u8bdd\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u9009\u53d6\u66f4\u591a\u5019\u9009\u5143\u7d20\uff0c\u6765\u8fdb\u4e00\u6b65\u63d0\u5347\u7b97\u6cd5\u7684\u7a33\u5065\u6027\u3002\u91c7\u53d6\u8be5\u65b9\u6cd5\u540e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n^2)\\) \u7684\u6982\u7387\u6781\u4f4e\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(int[] nums, int left, int mid, int right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(int[] nums, int left, int right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(vector&lt;int&gt;&amp; nums, int left, int mid, int right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 \"\"\"\ndef median_three(self, nums, left, mid, right):\n# \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n# \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]):\nreturn left\nelif (nums[mid] &lt; nums[left]) ^ (nums[mid] &gt; nums[right]):\nreturn mid\nreturn right\n\"\"\" \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 \"\"\"\ndef partition(self, nums, left, right):\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nmed = self.median_three(nums, left, (left + right) // 2, right)\n# \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nnums[left], nums[med] = nums[med], nums[left]\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j = left, right\nwhile i &lt; j:\nwhile i &lt; j and nums[j] &gt;= nums[left]:\nj -= 1  # \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile i &lt; j and nums[i] &lt;= nums[left]:\ni += 1  # \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n# \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n# \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i  # \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n</code></pre> quick_sort.go<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nfunc (q *quickSortMedian) medianThree(nums []int, left, mid, right int) int {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\uff08!= \u5728\u8fd9\u91cc\u8d77\u5230\u5f02\u6216\u7684\u4f5c\u7528\uff09\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right]) {\nreturn left\n} else if (nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right]) {\nreturn mid\n}\nreturn right\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09*/\nfunc (q *quickSortMedian) partition(nums []int, left, right int) int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nmed := q.medianThree(nums, left, (left+right)/2, right)\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nnums[left], nums[med] = nums[med], nums[left]\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j := left, right\nfor i &lt; j {\nfor i &lt; j &amp;&amp; nums[j] &gt;= nums[left] {\nj-- //\u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nfor i &lt; j &amp;&amp; nums[i] &lt;= nums[left] {\ni++ //\u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n//\u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n}\n//\u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i //\u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.js<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nmedianThree(nums, left, mid, right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right])) return left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right])) return mid;\nelse return right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\npartition(nums, left, right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nthis.swap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) j--; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) i++; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.ts<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nmedianThree(nums: number[], left: number, mid: number, right: number): number {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (Number(nums[left] &lt; nums[mid]) ^ Number(nums[left] &lt; nums[right])) {\nreturn left;\n} else if (Number(nums[mid] &lt; nums[left]) ^ Number(nums[mid] &lt; nums[right])) {\nreturn mid;\n} else {\nreturn right;\n}\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\npartition(nums: number[], left: number, right: number): number {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nthis.swap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj--; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni++; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSortMedian}-[func]{medianThree}\n[class]{quickSortMedian}-[func]{partition}\n</code></pre> quick_sort.cs<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(int[] nums, int left, int mid, int right)\n{\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(int[] nums, int left, int right)\n{\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j)\n{\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.swift<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nfunc medianThree(nums: [Int], left: Int, mid: Int, right: Int) -&gt; Int {\nif (nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right]) {\nreturn left\n} else if (nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right]) {\nreturn mid\n} else {\nreturn right\n}\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nfunc partitionMedian(nums: inout [Int], left: Int, right: Int) -&gt; Int {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = medianThree(nums: nums, left: left, mid: (left + right) / 2, right: right)\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums: &amp;nums, i: left, j: med)\nreturn partition(nums: &amp;nums, left: left, right: right)\n}\n</code></pre> quick_sort.zig<pre><code>// \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nfn medianThree(nums: []i32, left: usize, mid: usize, right: usize) usize {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right])) {\nreturn left;\n} else if ((nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right])) {\nreturn mid;\n} else {\nreturn right;\n}\n}\n// \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09\nfn partition(nums: []i32, left: usize, right: usize) usize {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nvar med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left;\nvar j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j and nums[j] &gt;= nums[left]) j -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j and nums[i] &lt;= nums[left]) i += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j);   // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);    // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;               // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre>"},{"location":"chapter_sorting/quick_sort/#1145","title":"11.4.5. \u5c3e\u9012\u5f52\u4f18\u5316","text":"<p>\u666e\u901a\u5feb\u901f\u6392\u5e8f\u5728\u67d0\u4e9b\u8f93\u5165\u4e0b\u7684\u7a7a\u95f4\u6548\u7387\u53d8\u5dee\u3002\u4ecd\u7136\u4ee5\u5b8c\u5168\u5012\u5e8f\u7684\u8f93\u5165\u6570\u7ec4\u4e3a\u4f8b\uff0c\u7531\u4e8e\u6bcf\u8f6e\u54e8\u5175\u5212\u5206\u540e\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 0 \uff0c\u90a3\u4e48\u5c06\u5f62\u6210\u4e00\u4e2a\u9ad8\u5ea6\u4e3a \\(n - 1\\) \u7684\u9012\u5f52\u6811\uff0c\u6b64\u65f6\u4f7f\u7528\u7684\u6808\u5e27\u7a7a\u95f4\u5927\u5c0f\u52a3\u5316\u81f3 \\(O(n)\\) \u3002</p> <p>\u4e3a\u4e86\u907f\u514d\u6808\u5e27\u7a7a\u95f4\u7684\u7d2f\u79ef\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u6bcf\u8f6e\u54e8\u5175\u6392\u5e8f\u5b8c\u6210\u540e\uff0c\u5224\u65ad\u4e24\u4e2a\u5b50\u6570\u7ec4\u7684\u957f\u5ea6\u5927\u5c0f\uff0c\u4ec5\u9012\u5f52\u6392\u5e8f\u8f83\u77ed\u7684\u5b50\u6570\u7ec4\u3002\u7531\u4e8e\u8f83\u77ed\u7684\u5b50\u6570\u7ec4\u957f\u5ea6\u4e0d\u4f1a\u8d85\u8fc7 \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u8fd9\u6837\u505a\u80fd\u4fdd\u8bc1\u9012\u5f52\u6df1\u5ea6\u4e0d\u8d85\u8fc7 \\(\\log n\\) \uff0c\u5373\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u88ab\u4f18\u5316\u81f3 \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(int[] nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 \"\"\"\ndef quick_sort(self, nums, left, right):\n# \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile left &lt; right:\n# \u54e8\u5175\u5212\u5206\u64cd\u4f5c\npivot = self.partition(nums, left, right)\n# \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif pivot - left &lt; right - pivot:\nself.quick_sort(nums, left, pivot - 1)  # \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1     # \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\nelse:\nself.quick_sort(nums, pivot + 1, right)  # \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1    # \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n</code></pre> quick_sort.go<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09*/\nfunc (q *quickSortTailCall) quickSort(nums []int, left, right int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nfor left &lt; right {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\npivot := q.partition(nums, left, right)\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif pivot-left &lt; right-pivot {\nq.quickSort(nums, left, pivot-1) // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1                 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nq.quickSort(nums, pivot+1, right) // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1                 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.js<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nquickSort(nums, left, right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = this.partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nthis.quickSort(nums, left, pivot - 1); // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nthis.quickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nquickSort(nums: number[], left: number, right: number): void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = this.partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nthis.quickSort(nums, left, pivot - 1); // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nthis.quickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSortTailCall}-[func]{quickSort}\n</code></pre> quick_sort.cs<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(int[] nums, int left, int right)\n{\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right)\n{\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot)\n{\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n}\nelse\n{\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nfunc quickSortTailCall(nums: inout [Int], left: Int, right: Int) {\nvar left = left\nvar right = right\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile left &lt; right {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = partition(nums: &amp;nums, left: left, right: right)\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left) &lt; (right - pivot) {\nquickSortTailCall(nums: &amp;nums, left: left, right: pivot - 1) // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSortTailCall(nums: &amp;nums, left: pivot + 1, right: right) // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.zig<pre><code>// \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09\nfn quickSort(nums: []i32, left_: usize, right_: usize) void {\nvar left = left_;\nvar right = right_;\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nvar pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);   // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;                   // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right);  // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1;                  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre>"},{"location":"chapter_sorting/summary/","title":"11.6. \u5c0f\u7ed3","text":""},{"location":"chapter_stack_and_queue/deque/","title":"5.3. \u53cc\u5411\u961f\u5217","text":"<p>\u5bf9\u4e8e\u961f\u5217\uff0c\u6211\u4eec\u53ea\u80fd\u5728\u5934\u90e8\u5220\u9664\u6216\u5728\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\uff0c\u800c\u300c\u53cc\u5411\u961f\u5217 Deque\u300d\u66f4\u52a0\u7075\u6d3b\uff0c\u5728\u5176\u5934\u90e8\u548c\u5c3e\u90e8\u90fd\u80fd\u6267\u884c\u5143\u7d20\u6dfb\u52a0\u6216\u5220\u9664\u64cd\u4f5c\u3002</p> <p></p> <p> Fig. \u53cc\u5411\u961f\u5217\u7684\u64cd\u4f5c </p>"},{"location":"chapter_stack_and_queue/deque/#531","title":"5.3.1. \u53cc\u5411\u961f\u5217\u5e38\u7528\u64cd\u4f5c","text":"<p>\u53cc\u5411\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff0c\u65b9\u6cd5\u540d\u9700\u6839\u636e\u7279\u5b9a\u8bed\u8a00\u6765\u786e\u5b9a\u3002</p> <p> Table. \u53cc\u5411\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5\u540d \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 pushFirst() \u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u9996 \\(O(1)\\) pushLast() \u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u5c3e \\(O(1)\\) pollFirst() \u5220\u9664\u961f\u9996\u5143\u7d20 \\(O(1)\\) pollLast() \u5220\u9664\u961f\u5c3e\u5143\u7d20 \\(O(1)\\) peekFirst() \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \\(O(1)\\) peekLast() \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u76f8\u540c\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u53cc\u5411\u961f\u5217\u7c7b\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig deque.java<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\nDeque&lt;Integer&gt; deque = new LinkedList&lt;&gt;();\n/* \u5143\u7d20\u5165\u961f */\ndeque.offerLast(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.offerLast(5);\ndeque.offerLast(4);\ndeque.offerFirst(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.offerFirst(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint peekFirst = deque.peekFirst();  // \u961f\u9996\u5143\u7d20\nint peekLast = deque.peekLast();    // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\nint pollFirst = deque.pollFirst();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\nint pollLast = deque.pollLast();    // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.size();\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = deque.isEmpty();\n</code></pre> deque.cpp<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\ndeque&lt;int&gt; deque;\n/* \u5143\u7d20\u5165\u961f */\ndeque.push_back(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.push_back(5);\ndeque.push_back(4);\ndeque.push_front(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.push_front(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint front = deque.front(); // \u961f\u9996\u5143\u7d20\nint back = deque.back();   // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.pop_front();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.pop_back();   // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.size();\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty = deque.empty();\n</code></pre> deque.py<pre><code>\"\"\" \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 \"\"\"\nduque = deque()\n\"\"\" \u5143\u7d20\u5165\u961f \"\"\"\nduque.append(2)      # \u6dfb\u52a0\u81f3\u961f\u5c3e\nduque.append(5)\nduque.append(4)\nduque.appendleft(3)  # \u6dfb\u52a0\u81f3\u961f\u9996\nduque.appendleft(1)\n\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\nfront = duque[0]  # \u961f\u9996\u5143\u7d20\nrear = duque[-1]  # \u961f\u5c3e\u5143\u7d20\n\"\"\" \u5143\u7d20\u51fa\u961f \"\"\"\npop_front = duque.popleft()  # \u961f\u9996\u5143\u7d20\u51fa\u961f\npop_rear = duque.pop()       # \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n\"\"\" \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\nsize = len(duque)\n\"\"\" \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(duque) == 0\n</code></pre> deque_test.go<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// \u5728 Go \u4e2d\uff0c\u5c06 list \u4f5c\u4e3a\u53cc\u5411\u961f\u5217\u4f7f\u7528\ndeque := list.New()\n/* \u5143\u7d20\u5165\u961f */\ndeque.PushBack(2)      // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.PushBack(5)\ndeque.PushBack(4)\ndeque.PushFront(3)     // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.PushFront(1)\n/* \u8bbf\u95ee\u5143\u7d20 */\nfront := deque.Front() // \u961f\u9996\u5143\u7d20\nrear := deque.Back()   // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.Remove(front)    // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.Remove(rear)     // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize := deque.Len()\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty := deque.Len() == 0\n</code></pre> deque.js<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// JavaScript \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u7aef\u961f\u5217\uff0c\u53ea\u80fd\u628a Array \u5f53\u4f5c\u53cc\u7aef\u961f\u5217\u6765\u4f7f\u7528\nconst deque = [];\n/* \u5143\u7d20\u5165\u961f */\ndeque.push(2);\ndeque.push(5);\ndeque.push(4);\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cunshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\ndeque.unshift(3);\ndeque.unshift(1);\nconsole.log(\"\u53cc\u5411\u961f\u5217 deque = \", deque);\n/* \u8bbf\u95ee\u5143\u7d20 */\nconst peekFirst = deque[0];\nconsole.log(\"\u961f\u9996\u5143\u7d20 peekFirst = \" + peekFirst);\nconst peekLast = deque[deque.length - 1];\nconsole.log(\"\u961f\u5c3e\u5143\u7d20 peekLast = \" + peekLast);\n/* \u5143\u7d20\u51fa\u961f */\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst popFront = deque.shift();\nconsole.log(\"\u961f\u9996\u51fa\u961f\u5143\u7d20 popFront = \" + popFront + \"\uff0c\u961f\u9996\u51fa\u961f\u540e deque = \" + deque);\nconst popBack = deque.pop();\nconsole.log(\"\u961f\u5c3e\u51fa\u961f\u5143\u7d20 popBack = \" + popBack + \"\uff0c\u961f\u5c3e\u51fa\u961f\u540e deque = \" + deque);\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = deque.length;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u957f\u5ea6 size = \" + size);\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst isEmpty = size === 0;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a = \" + isEmpty);\n</code></pre> deque.ts<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// TypeScript \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u7aef\u961f\u5217\uff0c\u53ea\u80fd\u628a Array \u5f53\u4f5c\u53cc\u7aef\u961f\u5217\u6765\u4f7f\u7528\nconst deque: number[] = [];\n/* \u5143\u7d20\u5165\u961f */\ndeque.push(2);\ndeque.push(5);\ndeque.push(4);\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cunshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\ndeque.unshift(3);\ndeque.unshift(1);\nconsole.log(\"\u53cc\u5411\u961f\u5217 deque = \", deque);\n/* \u8bbf\u95ee\u5143\u7d20 */\nconst peekFirst: number = deque[0];\nconsole.log(\"\u961f\u9996\u5143\u7d20 peekFirst = \" + peekFirst);\nconst peekLast: number = deque[deque.length - 1];\nconsole.log(\"\u961f\u5c3e\u5143\u7d20 peekLast = \" + peekLast);\n/* \u5143\u7d20\u51fa\u961f */\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst popFront: number = deque.shift() as number;\nconsole.log(\"\u961f\u9996\u51fa\u961f\u5143\u7d20 popFront = \" + popFront + \"\uff0c\u961f\u9996\u51fa\u961f\u540e deque = \" + deque);\nconst popBack: number = deque.pop() as number;\nconsole.log(\"\u961f\u5c3e\u51fa\u961f\u5143\u7d20 popBack = \" + popBack + \"\uff0c\u961f\u5c3e\u51fa\u961f\u540e deque = \" + deque);\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nconst size: number = deque.length;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u957f\u5ea6 size = \" + size);\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst isEmpty: boolean = size === 0;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a = \" + isEmpty);\n</code></pre> deque.c<pre><code>\n</code></pre> deque.cs<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// \u5728 C# \u4e2d\uff0c\u5c06\u94fe\u8868 LinkedList \u770b\u4f5c\u53cc\u5411\u961f\u5217\u6765\u4f7f\u7528\nLinkedList&lt;int&gt; deque = new LinkedList&lt;int&gt;();\n/* \u5143\u7d20\u5165\u961f */\ndeque.AddLast(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.AddLast(5);\ndeque.AddLast(4);\ndeque.AddFirst(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.AddFirst(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint peekFirst = deque.First.Value;  // \u961f\u9996\u5143\u7d20\nint peekLast = deque.Last.Value;    // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.RemoveFirst();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.RemoveLast();   // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.Count;\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = deque.Count == 0;\n</code></pre> deque.swift<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u5411\u961f\u5217\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u53cc\u5411\u961f\u5217\u6765\u4f7f\u7528\nvar deque: [Int] = []\n/* \u5143\u7d20\u5165\u961f */\ndeque.append(2) // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.append(5)\ndeque.append(4)\ndeque.insert(3, at: 0) // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.insert(1, at: 0)\n/* \u8bbf\u95ee\u5143\u7d20 */\nlet peekFirst = deque.first! // \u961f\u9996\u5143\u7d20\nlet peekLast = deque.last! // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\n// \u4f7f\u7528 Array \u6a21\u62df\u65f6 pollFirst \u7684\u590d\u6742\u5ea6\u4e3a O(n)\nlet pollFirst = deque.removeFirst() // \u961f\u9996\u5143\u7d20\u51fa\u961f\nlet pollLast = deque.removeLast() // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nlet size = deque.count\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = deque.isEmpty\n</code></pre> deque.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/deque/#532","title":"5.3.2. \u53cc\u5411\u961f\u5217\u5b9e\u73b0","text":"<p>\u53cc\u5411\u961f\u5217\u9700\u8981\u4e00\u79cd\u53ef\u4ee5\u5728\u4e24\u7aef\u6dfb\u52a0\u3001\u4e24\u7aef\u5220\u9664\u7684\u6570\u636e\u7ed3\u6784\u3002\u4e0e\u961f\u5217\u7684\u5b9e\u73b0\u65b9\u6cd5\u7c7b\u4f3c\uff0c\u53cc\u5411\u961f\u5217\u4e5f\u53ef\u4ee5\u4f7f\u7528\u53cc\u5411\u94fe\u8868\u548c\u5faa\u73af\u6570\u7ec4\u6765\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/deque/#_1","title":"\u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u6211\u4eec\u5c06\u53cc\u5411\u94fe\u8868\u7684\u5934\u7ed3\u70b9\u548c\u5c3e\u7ed3\u70b9\u5206\u522b\u770b\u4f5c\u53cc\u5411\u961f\u5217\u7684\u961f\u9996\u548c\u961f\u5c3e\uff0c\u5e76\u4e14\u5b9e\u73b0\u5728\u4e24\u7aef\u90fd\u80fd\u6dfb\u52a0\u4e0e\u5220\u9664\u7ed3\u70b9\u3002</p> LinkedListDequepushLast()pushFirst()pollLast()pollFirst() <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u4f7f\u7528\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u53cc\u5411\u961f\u5217\u7684\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_deque.java<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nint val;       // \u7ed3\u70b9\u503c\nListNode next; // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528\uff08\u6307\u9488\uff09\nListNode prev; // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528\uff08\u6307\u9488\uff09\nListNode(int val) {\nthis.val = val;\nprev = next = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nprivate ListNode front, rear; // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear\nprivate int size = 0;         // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\npublic LinkedListDeque() {\nfront = rear = null;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn size;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u961f\u64cd\u4f5c */\nprivate void push(int num, boolean isFront) {\nListNode node = new ListNode(num);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (isEmpty())\nfront = rear = node;\n// \u961f\u9996\u5165\u961f\u64cd\u4f5c\nelse if (isFront) {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nfront.prev = node;\nnode.next = front;\nfront = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n// \u961f\u5c3e\u5165\u961f\u64cd\u4f5c\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nrear.next = node;\nnode.prev = rear;\nrear = node;  // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nsize++; // \u66f4\u65b0\u961f\u5217\u957f\u5ea6\n}\n/* \u961f\u9996\u5165\u961f */\npublic void pushFirst(int num) {\npush(num, true);\n}\n/* \u961f\u5c3e\u5165\u961f */\npublic void pushLast(int num) {\npush(num, false);\n}\n/* \u51fa\u961f\u64cd\u4f5c */\nprivate Integer poll(boolean isFront) {\n// \u82e5\u961f\u5217\u4e3a\u7a7a\uff0c\u76f4\u63a5\u8fd4\u56de null\nif (isEmpty())\nreturn null;\nint val;\n// \u961f\u9996\u51fa\u961f\u64cd\u4f5c\nif (isFront) {\nval = front.val; // \u6682\u5b58\u5934\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nListNode fNext = front.next;\nif (fNext != null) {\nfNext.prev = null;\nfront.next = null;\n}\nfront = fNext;   // \u66f4\u65b0\u5934\u7ed3\u70b9\n// \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c\n} else {\nval = rear.val;  // \u6682\u5b58\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nListNode rPrev = rear.prev;\nif (rPrev != null) {\nrPrev.next = null;\nrear.prev = null;\n}\nrear = rPrev;    // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nsize--; // \u66f4\u65b0\u961f\u5217\u957f\u5ea6\nreturn val;\n}\n/* \u961f\u9996\u51fa\u961f */\npublic Integer pollFirst() {\nreturn poll(true);\n}\n/* \u961f\u5c3e\u51fa\u961f */\npublic Integer pollLast() {\nreturn poll(false);\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic Integer peekFirst() {\nreturn isEmpty() ? null : front.val;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npublic Integer peekLast() {\nreturn isEmpty() ? null : rear.val;\n}\n/* \u6253\u5370\u53cc\u5411\u961f\u5217 */\npublic void print() {\nif (isEmpty()) {\nSystem.out.println(\"[ ]\");\nreturn;\n}\nList&lt;String&gt; list = new ArrayList&lt;&gt;();\nListNode head = front;\nwhile (head != null) {\nlist.add(String.valueOf(head.val));\nhead = head.next;\n}\nSystem.out.println(\"[\" + String.join(\", \", list) + \"]\");\n}\n}\n</code></pre> linkedlist_deque.cpp<pre><code>\n</code></pre> linkedlist_deque.py<pre><code>\n</code></pre> linkedlist_deque.go<pre><code>\n</code></pre> linkedlist_deque.js<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nprev;   // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nnext;   // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nval;    // \u7ed3\u70b9\u503c\nconstructor(val) {\nthis.val = val;\nthis.next = null;\nthis.prev = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nfront;  // \u5934\u7ed3\u70b9 front\nrear;   // \u5c3e\u7ed3\u70b9 rear\nlen;    // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\nconstructor() {\nthis.front = null;\nthis.rear = null;\nthis.len = 0;\n}\n/* \u961f\u5c3e\u5165\u961f\u64cd\u4f5c */\npushLast(val) {\nconst node = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nthis.rear.next = node;\nnode.prev = this.rear;\nthis.rear = node; // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u9996\u5165\u961f\u64cd\u4f5c */\npushFirst(val) {\nconst node = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nthis.front.prev = node;\nnode.next = this.front;\nthis.front = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c */\npollLast() {\nif (this.len === 0) {\nreturn null;\n}\nconst value = this.rear.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nlet temp = this.rear.prev;\nif (temp !== null) {\ntemp.next = null;\nthis.rear.prev = null;\n}\nthis.rear = temp;   // \u66f4\u65b0\u5c3e\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u961f\u9996\u51fa\u961f\u64cd\u4f5c */\npollFirst() {\nif (this.len === 0) {\nreturn null;\n}\nconst value = this.front.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nlet temp = this.front.next;\nif (temp !== null) {\ntemp.prev = null;\nthis.front.next = null;\n}\nthis.front = temp;   // \u66f4\u65b0\u5934\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npeekLast() {\nreturn this.len === 0 ? null : this.rear.val;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeekFirst() {\nreturn this.len === 0 ? null : this.front.val;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize() {\nreturn this.len;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.len === 0;\n}\n/* \u6253\u5370\u53cc\u5411\u961f\u5217 */\nprint() {\nconst arr = [];\nlet temp = this.front;\nwhile (temp !== null) {\narr.push(temp.val);\ntemp = temp.next;\n}\nconsole.log(\"[\" + arr.join(\", \") + \"]\");\n}\n}\n</code></pre> linkedlist_deque.ts<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nprev: ListNode;     // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nnext: ListNode;     // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nval: number;        // \u7ed3\u70b9\u503c\nconstructor(val: number) {\nthis.val = val;\nthis.next = null;\nthis.prev = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nfront: ListNode;    // \u5934\u7ed3\u70b9 front\nrear: ListNode;     // \u5c3e\u7ed3\u70b9 rear\nlen: number;        // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\nconstructor() {\nthis.front = null;\nthis.rear = null;\nthis.len = 0;\n}\n/* \u961f\u5c3e\u5165\u961f\u64cd\u4f5c */\npushLast(val: number): void {\nconst node: ListNode = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nthis.rear.next = node;\nnode.prev = this.rear;\nthis.rear = node; // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u9996\u5165\u961f\u64cd\u4f5c */\npushFirst(val: number): void {\nconst node: ListNode = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nthis.front.prev = node;\nnode.next = this.front;\nthis.front = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c */\npollLast(): number {\nif (this.len === 0) {\nreturn null;\n}\nconst value: number = this.rear.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nlet temp: ListNode = this.rear.prev;\nif (temp !== null) {\ntemp.next = null;\nthis.rear.prev = null;\n}\nthis.rear = temp;   // \u66f4\u65b0\u5c3e\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u961f\u9996\u51fa\u961f\u64cd\u4f5c */\npollFirst(): number {\nif (this.len === 0) {\nreturn null;\n}\nconst value: number = this.front.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nlet temp: ListNode = this.front.next;\nif (temp !== null) {\ntemp.prev = null;\nthis.front.next = null;\n}\nthis.front = temp;   // \u66f4\u65b0\u5934\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npeekLast(): number {\nreturn this.len === 0 ? null : this.rear.val;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeekFirst(): number {\nreturn this.len === 0 ? null : this.front.val;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize(): number {\nreturn this.len;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.len === 0;\n}\n/* \u6253\u5370\u53cc\u5411\u961f\u5217 */\nprint(): void {\nconst arr: number[] = [];\nlet temp: ListNode = this.front;\nwhile (temp !== null) {\narr.push(temp.val);\ntemp = temp.next;\n}\nconsole.log(\"[\" + arr.join(\", \") + \"]\");\n}\n}\n</code></pre> linkedlist_deque.c<pre><code>\n</code></pre> linkedlist_deque.cs<pre><code>[class]{ListNode}-[func]{}\n[class]{LinkedListDeque}-[func]{}\n</code></pre> linkedlist_deque.swift<pre><code>\n</code></pre> linkedlist_deque.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/","title":"5.2. \u961f\u5217","text":"<p>\u300c\u961f\u5217 Queue\u300d\u662f\u4e00\u79cd\u9075\u5faa\u300c\u5148\u5165\u5148\u51fa first in, first out\u300d\u6570\u636e\u64cd\u4f5c\u89c4\u5219\u7684\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002\u987e\u540d\u601d\u4e49\uff0c\u961f\u5217\u6a21\u62df\u7684\u662f\u6392\u961f\u73b0\u8c61\uff0c\u5373\u5916\u9762\u7684\u4eba\u4e0d\u65ad\u52a0\u5165\u961f\u5217\u5c3e\u90e8\uff0c\u800c\u5904\u4e8e\u961f\u5217\u5934\u90e8\u7684\u4eba\u4e0d\u65ad\u5730\u79bb\u5f00\u3002</p> <p>\u6211\u4eec\u5c06\u961f\u5217\u5934\u90e8\u79f0\u4e3a\u300c\u961f\u9996\u300d\uff0c\u961f\u5217\u5c3e\u90e8\u79f0\u4e3a\u300c\u961f\u5c3e\u300d\uff0c\u5c06\u628a\u5143\u7d20\u52a0\u5165\u961f\u5c3e\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u5165\u961f\u300d\uff0c\u5220\u9664\u961f\u9996\u5143\u7d20\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u51fa\u961f\u300d\u3002</p> <p></p> <p> Fig. \u961f\u5217\u7684\u5148\u5165\u5148\u51fa\u7279\u6027 </p>"},{"location":"chapter_stack_and_queue/queue/#521","title":"5.2.1. \u961f\u5217\u5e38\u7528\u64cd\u4f5c","text":"<p>\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff0c\u65b9\u6cd5\u540d\u9700\u6839\u636e\u7279\u5b9a\u8bed\u8a00\u6765\u786e\u5b9a\u3002</p> <p> Table. \u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5\u540d \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 push() \u5143\u7d20\u5165\u961f\uff0c\u5373\u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u5c3e \\(O(1)\\) poll() \u961f\u9996\u5143\u7d20\u51fa\u961f \\(O(1)\\) front() \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u961f\u5217\u7c7b\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig queue.java<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nQueue&lt;Integer&gt; queue = new LinkedList&lt;&gt;();\n/* \u5143\u7d20\u5165\u961f */\nqueue.offer(1);\nqueue.offer(3);\nqueue.offer(2);\nqueue.offer(5);\nqueue.offer(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek = queue.peek();\n/* \u5143\u7d20\u51fa\u961f */\nint poll = queue.poll();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.size();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = queue.isEmpty();\n</code></pre> queue.cpp<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nqueue&lt;int&gt; queue;\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint front = queue.front();\n/* \u5143\u7d20\u51fa\u961f */\nqueue.pop();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.size();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty = queue.empty();\n</code></pre> queue.py<pre><code>\"\"\" \u521d\u59cb\u5316\u961f\u5217 \"\"\"\n# \u5728 Python \u4e2d\uff0c\u6211\u4eec\u4e00\u822c\u5c06\u53cc\u5411\u961f\u5217\u7c7b deque \u770b\u4f5c\u961f\u5217\u4f7f\u7528\n# \u867d\u7136 queue.Queue() \u662f\u7eaf\u6b63\u7684\u961f\u5217\u7c7b\uff0c\u4f46\u4e0d\u592a\u597d\u7528\uff0c\u56e0\u6b64\u4e0d\u5efa\u8bae\nque = collections.deque()\n\"\"\" \u5143\u7d20\u5165\u961f \"\"\"\nque.append(1)\nque.append(3)\nque.append(2)\nque.append(5)\nque.append(4)\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\nfront = que[0];\n\"\"\" \u5143\u7d20\u51fa\u961f \"\"\"\npop = que.popleft()\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\nsize = len(que)\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(que) == 0\n</code></pre> queue_test.go<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// \u5728 Go \u4e2d\uff0c\u5c06 list \u4f5c\u4e3a\u961f\u5217\u6765\u4f7f\u7528\nqueue := list.New()\n/* \u5143\u7d20\u5165\u961f */\nqueue.PushBack(1)\nqueue.PushBack(3)\nqueue.PushBack(2)\nqueue.PushBack(5)\nqueue.PushBack(4)\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek := queue.Front()\n/* \u5143\u7d20\u51fa\u961f */\npoll := queue.Front()\nqueue.Remove(poll)\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nsize := queue.Len()\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty := queue.Len() == 0\n</code></pre> queue.js<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// JavaScript \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528\nconst queue = [];\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nconst peek = queue[0];\n/* \u5143\u7d20\u51fa\u961f */\n// \u5e95\u5c42\u662f\u6570\u7ec4\uff0c\u56e0\u6b64 shift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst poll = queue.shift();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = queue.length;\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst empty = queue.length === 0;\n</code></pre> queue.ts<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// TypeScript \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528 \nconst queue: number[] = [];\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nconst peek = queue[0];\n/* \u5143\u7d20\u51fa\u961f */\n// \u5e95\u5c42\u662f\u6570\u7ec4\uff0c\u56e0\u6b64 shift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst poll = queue.shift();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = queue.length;\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst empty = queue.length === 0;\n</code></pre> queue.c<pre><code>\n</code></pre> queue.cs<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nQueue&lt;int&gt; queue = new();\n/* \u5143\u7d20\u5165\u961f */\nqueue.Enqueue(1);\nqueue.Enqueue(3);\nqueue.Enqueue(2);\nqueue.Enqueue(5);\nqueue.Enqueue(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek = queue.Peek();\n/* \u5143\u7d20\u51fa\u961f */\nint poll = queue.Dequeue();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.Count();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = queue.Count() == 0;\n</code></pre> queue.swift<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528\nvar queue: [Int] = []\n/* \u5143\u7d20\u5165\u961f */\nqueue.append(1)\nqueue.append(3)\nqueue.append(2)\nqueue.append(5)\nqueue.append(4)\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nlet peek = queue.first!\n/* \u5143\u7d20\u51fa\u961f */\n// \u4f7f\u7528 Array \u6a21\u62df\u65f6 poll \u7684\u590d\u6742\u5ea6\u4e3a O(n)\nlet pool = queue.removeFirst()\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nlet size = queue.count\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = queue.isEmpty\n</code></pre> queue.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/#522","title":"5.2.2. \u961f\u5217\u5b9e\u73b0","text":"<p>\u961f\u5217\u9700\u8981\u4e00\u79cd\u53ef\u4ee5\u5728\u4e00\u7aef\u6dfb\u52a0\uff0c\u5e76\u5728\u53e6\u4e00\u7aef\u5220\u9664\u7684\u6570\u636e\u7ed3\u6784\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u94fe\u8868\u6216\u6570\u7ec4\u6765\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#_1","title":"\u57fa\u4e8e\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u6211\u4eec\u5c06\u94fe\u8868\u7684\u300c\u5934\u7ed3\u70b9\u300d\u548c\u300c\u5c3e\u7ed3\u70b9\u300d\u5206\u522b\u770b\u4f5c\u662f\u961f\u9996\u548c\u961f\u5c3e\uff0c\u5e76\u89c4\u5b9a\u961f\u5c3e\u53ea\u53ef\u6dfb\u52a0\u7ed3\u70b9\uff0c\u961f\u9996\u53ea\u53ef\u5220\u9664\u7ed3\u70b9\u3002</p> LinkedListQueuepush()poll() <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u4f7f\u7528\u94fe\u8868\u5b9e\u73b0\u961f\u5217\u7684\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_queue.java<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate ListNode front, rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nprivate int queSize = 0;\npublic LinkedListQueue() {\nfront = null;\nrear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u961f */\npublic void push(int num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == null) {\nfront = node;\nrear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nrear.next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll() {\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front.next;\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek() {\nif (size() == 0)\nthrow new EmptyStackException();\nreturn front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray() {\nListNode node = front;\nint[] res = new int[size()];\nfor (int i = 0; i &lt; res.length; i++) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.cpp<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate:\nListNode *front, *rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nint queSize;\npublic:\nLinkedListQueue() {\nfront = nullptr;\nrear = nullptr;\nqueSize = 0;\n}\n~LinkedListQueue() {\ndelete front;\ndelete rear;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn queSize == 0;\n}\n/* \u5165\u961f */\nvoid push(int num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode* node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == nullptr) {\nfront = node;\nrear = node;\n}\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse {\nrear-&gt;next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\nvoid poll() {\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nListNode *tmp = front;\nfront = front-&gt;next;\n// \u91ca\u653e\u5185\u5b58\ndelete tmp; queSize--;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek() {\nif (size() == 0)\nthrow out_of_range(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn front-&gt;val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Vector \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\nListNode* node = front;\nvector&lt;int&gt; res(size());\nfor (int i = 0; i &lt; res.size(); i++) {\nres[i] = node-&gt;val;\nnode = node-&gt;next;\n}\nreturn res;\n}\n};\n</code></pre> linkedlist_queue.py<pre><code>\"\"\" \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 \"\"\"\nclass LinkedListQueue:\ndef __init__(self):\nself.__front = None  # \u5934\u7ed3\u70b9 front\nself.__rear = None   # \u5c3e\u7ed3\u70b9 rear\nself.__size = 0\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn not self.__front\n\"\"\" \u5165\u961f \"\"\"\ndef push(self, num):\n# \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnode = ListNode(num)\n# \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif self.__front is None:\nself.__front = node\nself.__rear = node\n# \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse:\nself.__rear.next = node\nself.__rear = node\nself.__size += 1\n\"\"\" \u51fa\u961f \"\"\"\ndef poll(self):\nnum = self.peek()\n# \u5220\u9664\u5934\u7ed3\u70b9\nself.__front = self.__front.next\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\ndef peek(self):\nif self.size() == 0:\nprint(\"\u961f\u5217\u4e3a\u7a7a\")\nreturn False\nreturn self.__front.val\n\"\"\" \u8f6c\u5316\u4e3a\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nqueue = []\ntemp = self.__front\nwhile temp:\nqueue.append(temp.val)\ntemp = temp.next\nreturn queue\n</code></pre> linkedlist_queue.go<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\ntype linkedListQueue struct {\n// \u4f7f\u7528\u5185\u7f6e\u5305 list \u6765\u5b9e\u73b0\u961f\u5217\ndata *list.List\n}\n/* \u521d\u59cb\u5316\u961f\u5217 */\nfunc newLinkedListQueue() *linkedListQueue {\nreturn &amp;linkedListQueue{\ndata: list.New(),\n}\n}\n/* \u5165\u961f */\nfunc (s *linkedListQueue) push(value any) {\ns.data.PushBack(value)\n}\n/* \u51fa\u961f */\nfunc (s *linkedListQueue) poll() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Front()\ns.data.Remove(e)\nreturn e.Value\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc (s *linkedListQueue) peek() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Front()\nreturn e.Value\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc (s *linkedListQueue) size() int {\nreturn s.data.Len()\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc (s *linkedListQueue) isEmpty() bool {\nreturn s.data.Len() == 0\n}\n/* \u83b7\u53d6 List \u7528\u4e8e\u6253\u5370 */\nfunc (s *linkedListQueue) toList() *list.List {\nreturn s.data\n}\n</code></pre> linkedlist_queue.js<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\n#front;  // \u5934\u7ed3\u70b9 #front\n#rear;   // \u5c3e\u7ed3\u70b9 #rear\n#queSize = 0;\nconstructor() {\nthis.#front = null;\nthis.#rear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.size === 0;\n}\n/* \u5165\u961f */\npush(num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nconst node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (!this.#front) {\nthis.#front = node;\nthis.#rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nthis.#rear.next = node;\nthis.#rear = node;\n}\nthis.#queSize++;\n}\n/* \u51fa\u961f */\npoll() {\nconst num = this.peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nthis.#front = this.#front.next;\nthis.#queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek() {\nif (this.size === 0)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.#front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray() {\nlet node = this.#front;\nconst res = new Array(this.size);\nfor (let i = 0; i &lt; res.length; i++) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.ts<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate front: ListNode | null; // \u5934\u7ed3\u70b9 front\nprivate rear: ListNode | null;  // \u5c3e\u7ed3\u70b9 rear\nprivate queSize: number = 0;\nconstructor() {\nthis.front = null;\nthis.rear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.size === 0;\n}\n/* \u5165\u961f */\npush(num: number): void {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nconst node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (!this.front) {\nthis.front = node;\nthis.rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nthis.rear!.next = node;\nthis.rear = node;\n}\nthis.queSize++;\n}\n/* \u51fa\u961f */\npoll(): number {\nconst num = this.peek();\nif (!this.front)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\")\n// \u5220\u9664\u5934\u7ed3\u70b9\nthis.front = this.front.next;\nthis.queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek(): number {\nif (this.size === 0)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.front!.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray(): number[] {\nlet node = this.front;\nconst res = new Array&lt;number&gt;(this.size);\nfor (let i = 0; i &lt; res.length; i++) {\nres[i] = node!.val;\nnode = node!.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.c<pre><code>[class]{linkedListQueue}-[func]{}\n</code></pre> linkedlist_queue.cs<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue\n{\nprivate ListNode? front, rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nprivate int queSize = 0;\npublic LinkedListQueue()\n{\nfront = null;\nrear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u961f */\npublic void push(int num)\n{\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == null)\n{\nfront = node;\nrear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n}\nelse if (rear != null)\n{\nrear.next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll()\n{\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front?.next;\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek()\n{\nif (size() == 0 || front == null)\nthrow new Exception();\nreturn front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nif (front == null)\nreturn Array.Empty&lt;int&gt;();\nListNode node = front;\nint[] res = new int[size()];\nfor (int i = 0; i &lt; res.Length; i++)\n{\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.swift<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate var front: ListNode? // \u5934\u7ed3\u70b9\nprivate var rear: ListNode? // \u5c3e\u7ed3\u70b9\nprivate var _size = 0\ninit() {}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\n_size\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nsize() == 0\n}\n/* \u5165\u961f */\nfunc push(num: Int) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nlet node = ListNode(x: num)\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif front == nil {\nfront = node\nrear = node\n}\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse {\nrear?.next = node\nrear = node\n}\n_size += 1\n}\n/* \u51fa\u961f */\n@discardableResult\nfunc poll() -&gt; Int {\nlet num = peek()\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front?.next\n_size -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u961f\u5217\u4e3a\u7a7a\")\n}\nreturn front!.val\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nvar node = front\nvar res = Array(repeating: 0, count: size())\nfor i in res.indices {\nres[i] = node!.val\nnode = node?.next\n}\nreturn res\n}\n}\n</code></pre> linkedlist_queue.zig<pre><code>// \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217\nfn LinkedListQueue(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nfront: ?*inc.ListNode(T) = null,                // \u5934\u7ed3\u70b9 front\nrear: ?*inc.ListNode(T) = null,                 // \u5c3e\u7ed3\u70b9 rear\nqueSize: usize = 0,                             // \u961f\u5217\u7684\u957f\u5ea6\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u961f\u5217\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.front = null;\nself.rear = null;\nself.queSize = 0;\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.queSize;\n}\n// \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u961f\u9996\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.size() == 0) @panic(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn self.front.?.val;\n}  // \u5165\u961f\npub fn push(self: *Self, num: T) !void {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nvar node = try self.mem_allocator.create(inc.ListNode(T));\nnode.init(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (self.front == null) {\nself.front = node;\nself.rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nself.rear.?.next = node;\nself.rear = node;\n}\nself.queSize += 1;\n} // \u51fa\u961f\npub fn poll(self: *Self) T {\nvar num = self.peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nself.front = self.front.?.next;\nself.queSize -= 1;\nreturn num;\n} // \u5c06\u94fe\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\nvar node = self.front;\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nwhile (i &lt; res.len) : (i += 1) {\nres[i] = node.?.val;\nnode = node.?.next;\n}\nreturn res;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/#_2","title":"\u57fa\u4e8e\u6570\u7ec4\u7684\u5b9e\u73b0","text":"<p>\u6570\u7ec4\u7684\u5220\u9664\u9996\u5143\u7d20\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u56e0\u6b64\u4e0d\u9002\u5408\u76f4\u63a5\u7528\u6765\u5b9e\u73b0\u961f\u5217\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u501f\u52a9\u4e24\u4e2a\u6307\u9488 <code>front</code> , <code>rear</code> \u6765\u5206\u522b\u8bb0\u5f55\u961f\u9996\u548c\u961f\u5c3e\u7684\u7d22\u5f15\u4f4d\u7f6e\uff0c\u5728\u5165\u961f / \u51fa\u961f\u65f6\u5206\u522b\u5c06 <code>front</code> / <code>rear</code> \u5411\u540e\u79fb\u52a8\u4e00\u4f4d\u5373\u53ef\uff0c\u8fd9\u6837\u6bcf\u6b21\u4ec5\u9700\u64cd\u4f5c\u4e00\u4e2a\u5143\u7d20\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u81f3 \\(O(1)\\) \u3002</p> ArrayQueuepush()poll() <p></p> <p></p> <p></p> <p>\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u4f1a\u53d1\u73b0\u4e00\u4e2a\u95ee\u9898\uff0c\u5373\u5728\u5165\u961f\u4e0e\u51fa\u961f\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e24\u4e2a\u6307\u9488\u90fd\u5728\u5411\u540e\u79fb\u52a8\uff0c\u5728\u5230\u8fbe\u5c3e\u90e8\u540e\u5219\u65e0\u6cd5\u7ee7\u7eed\u79fb\u52a8\u4e86\u3002</p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u91c7\u53d6\u4e00\u4e2a\u53d6\u5de7\u65b9\u6848\uff0c\u5373\u5c06\u6570\u7ec4\u770b\u4f5c\u662f\u201c\u73af\u5f62\u201d\u7684\u3002\u5177\u4f53\u505a\u6cd5\u662f\u89c4\u5b9a\u6307\u9488\u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\uff0c\u518d\u6b21\u56de\u5230\u5934\u90e8\u63a5\u7eed\u904d\u5386\uff0c\u8fd9\u6837\u76f8\u5f53\u4e8e\u4f7f\u6570\u7ec4\u201c\u9996\u5c3e\u76f8\u8fde\u201d\u4e86\u3002\u5728\u73af\u5f62\u6570\u7ec4\u7684\u8bbe\u5b9a\u4e0b\uff0c\u83b7\u53d6\u957f\u5ea6 <code>size()</code> \u3001\u5165\u961f <code>push()</code> \u3001\u51fa\u961f <code>poll()</code> \u65b9\u6cd5\u90fd\u9700\u8981\u505a\u76f8\u5e94\u7684\u53d6\u4f59\u64cd\u4f5c\u5904\u7406\uff0c\u4f7f\u5f97\u5f53\u5c3e\u6307\u9488\u7ed5\u56de\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u4ecd\u7136\u53ef\u4ee5\u6b63\u786e\u5904\u7406\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_queue.java<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate int[] nums;  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate int front;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate int queSize; // \u961f\u5217\u957f\u5ea6\npublic ArrayQueue(int capacity) {\nnums = new int[capacity];\nfront = queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\npublic int capacity() {\nreturn nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn queSize == 0;\n}\n/* \u5165\u961f */\npublic void push(int num) {\nif (queSize == capacity()) {\nSystem.out.println(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % capacity();\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll() {\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity();\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn nums[front];\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\npublic int[] toArray() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] res = new int[queSize];\nfor (int i = 0, j = front; i &lt; queSize; i++, j++) {\nres[i] = nums[j % capacity()];\n}\nreturn res;\n}\n}\n</code></pre> array_queue.cpp<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate:\nint *nums;       // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nint front;       // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nint queSize;     // \u961f\u5217\u957f\u5ea6\nint queCapacity; // \u961f\u5217\u5bb9\u91cf\npublic:\nArrayQueue(int capacity) {\n// \u521d\u59cb\u5316\u6570\u7ec4\nnums = new int[capacity];\nqueCapacity = capacity;\nfront = queSize = 0;\n}\n~ArrayQueue() {\ndelete[] nums;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nint capacity() {\nreturn queCapacity;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn size() == 0;\n}\n/* \u5165\u961f */\nvoid push(int num) {\nif (queSize == queCapacity) {\ncout &lt;&lt; \"\u961f\u5217\u5df2\u6ee1\" &lt;&lt; endl;\nreturn;\n}\n// \u8ba1\u7b97\u961f\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % queCapacity;\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\nvoid poll() {\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % queCapacity;\nqueSize--;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek() {\nif (empty())\nthrow out_of_range(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn nums[front];\n}\n/* \u5c06\u6570\u7ec4\u8f6c\u5316\u4e3a Vector \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvector&lt;int&gt; arr(queSize);\nfor (int i = 0, j = front; i &lt; queSize; i++, j++) {\narr[i] = nums[j % queCapacity];\n}\nreturn arr;\n}\n};\n</code></pre> array_queue.py<pre><code>\"\"\" \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 \"\"\"\nclass ArrayQueue:\ndef __init__(self, size):\nself.__nums = [0] * size  # \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nself.__front = 0          # \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nself.__size = 0           # \u961f\u5217\u957f\u5ea6\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf \"\"\"\ndef capacity(self):\nreturn len(self.__nums)\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn self.__size == 0\n\"\"\" \u5165\u961f \"\"\"\ndef push(self, num):\nassert self.__size &lt; self.capacity(), \"\u961f\u5217\u5df2\u6ee1\"\n# \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n# \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nrear = (self.__front + self.__size) % self.capacity()\n# \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nself.__nums[rear] = num\nself.__size += 1\n\"\"\" \u51fa\u961f \"\"\"\ndef poll(self):\nnum = self.peek()\n# \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nself.__front = (self.__front + 1) % self.capacity()\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\ndef peek(self):\nassert not self.is_empty(), \"\u961f\u5217\u4e3a\u7a7a\"\nreturn self.__nums[self.__front]\n\"\"\" \u8fd4\u56de\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nres = [0] * self.size()\nj = self.__front\nfor i in range(self.size()):\nres[i] = self.__nums[(j % self.capacity())]\nj += 1\nreturn res\n</code></pre> array_queue.go<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\ntype arrayQueue struct {\nnums        []int // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nfront       int   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nqueSize     int   // \u961f\u5217\u957f\u5ea6\nqueCapacity int   // \u961f\u5217\u5bb9\u91cf\uff08\u5373\u6700\u5927\u5bb9\u7eb3\u5143\u7d20\u6570\u91cf\uff09\n}\n/* \u521d\u59cb\u5316\u961f\u5217 */\nfunc newArrayQueue(queCapacity int) *arrayQueue {\nreturn &amp;arrayQueue{\nnums:        make([]int, queCapacity),\nqueCapacity: queCapacity,\nfront:       0,\nqueSize:     0,\n}\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc (q *arrayQueue) size() int {\nreturn q.queSize\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc (q *arrayQueue) isEmpty() bool {\nreturn q.queSize == 0\n}\n/* \u5165\u961f */\nfunc (q *arrayQueue) push(num int) {\n// \u5f53 rear == queCapacity \u8868\u793a\u961f\u5217\u5df2\u6ee1\nif q.queSize == q.queCapacity {\nreturn\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nrear := (q.front + q.queSize) % q.queCapacity\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nq.nums[rear] = num\nq.queSize++\n}\n/* \u51fa\u961f */\nfunc (q *arrayQueue) poll() any {\nnum := q.peek()\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nq.front = (q.front + 1) % q.queCapacity\nq.queSize--\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc (q *arrayQueue) peek() any {\nif q.isEmpty() {\nreturn nil\n}\nreturn q.nums[q.front]\n}\n/* \u83b7\u53d6 Slice \u7528\u4e8e\u6253\u5370 */\nfunc (q *arrayQueue) toSlice() []int {\nrear := (q.front + q.queSize)\nif rear &gt;= q.queCapacity {\nrear %= q.queCapacity\nreturn append(q.nums[q.front:], q.nums[:rear]...)\n}\nreturn q.nums[q.front:rear]\n}\n</code></pre> array_queue.js<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\n#nums;         // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\n#front = 0;    // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\n#queSize = 0;  // \u961f\u5217\u957f\u5ea6\nconstructor(capacity) {\nthis.#nums = new Array(capacity);\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nget capacity() {\nreturn this.#nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nempty() {\nreturn this.#queSize == 0;\n}\n/* \u5165\u961f */\npush(num) {\nif (this.size == this.capacity) {\nconsole.log(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nconst rear = (this.#front + this.size) % this.capacity;\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nthis.#nums[rear] = num;\nthis.#queSize++;\n}\n/* \u51fa\u961f */\npoll() {\nconst num = this.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nthis.#front = (this.#front + 1) % this.capacity;\nthis.#queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek() {\nif (this.empty())\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.#nums[this.#front];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst arr = new Array(this.size);\nfor (let i = 0, j = this.#front; i &lt; this.size; i++, j++) {\narr[i] = this.#nums[j % this.capacity];\n}\nreturn arr;\n}\n}\n</code></pre> array_queue.ts<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate nums: number[];  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate front: number;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate queSize: number; // \u961f\u5217\u957f\u5ea6\nconstructor(capacity: number) {\nthis.nums = new Array(capacity);\nthis.front = this.queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nget capacity(): number {\nreturn this.nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nempty(): boolean {\nreturn this.queSize == 0;\n}\n/* \u5165\u961f */\npush(num: number): void {\nif (this.size == this.capacity) {\nconsole.log(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nconst rear = (this.front + this.queSize) % this.capacity;\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nthis.nums[rear] = num;\nthis.queSize++;\n}\n/* \u51fa\u961f */\npoll(): number {\nconst num = this.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nthis.front = (this.front + 1) % this.capacity;\nthis.queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek(): number {\nif (this.empty())\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.nums[this.front];\n}\n/* \u8fd4\u56de Array */\ntoArray(): number[] {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst arr = new Array(this.size);\nfor (let i = 0, j = this.front; i &lt; this.size; i++, j++) {\narr[i] = this.nums[j % this.capacity];\n}\nreturn arr;\n}\n}\n</code></pre> array_queue.c<pre><code>[class]{arrayQueue}-[func]{}\n</code></pre> array_queue.cs<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue\n{\nprivate int[] nums;  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate int front;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate int queSize; // \u961f\u5217\u957f\u5ea6\npublic ArrayQueue(int capacity)\n{\nnums = new int[capacity];\nfront = queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\npublic int capacity()\n{\nreturn nums.Length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn queSize == 0;\n}\n/* \u5165\u961f */\npublic void push(int num)\n{\nif (queSize == capacity())\n{\nConsole.WriteLine(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % capacity();\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll()\n{\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity();\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek()\n{\nif (isEmpty())\nthrow new Exception();\nreturn nums[front];\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\npublic int[] toArray()\n{\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] res = new int[queSize];\nfor (int i = 0, j = front; i &lt; queSize; i++, j++)\n{\nres[i] = nums[j % this.capacity()];\n}\nreturn res;\n}\n}\n</code></pre> array_queue.swift<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate var nums: [Int] // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate var front = 0 // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate var queSize = 0 // \u961f\u5217\u957f\u5ea6\ninit(capacity: Int) {\n// \u521d\u59cb\u5316\u6570\u7ec4\nnums = Array(repeating: 0, count: capacity)\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nfunc capacity() -&gt; Int {\nnums.count\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\nqueSize\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nqueSize == 0\n}\n/* \u5165\u961f */\nfunc push(num: Int) {\nif size() == capacity() {\nprint(\"\u961f\u5217\u5df2\u6ee1\")\nreturn\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nlet rear = (front + queSize) % capacity()\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnums[rear] = num\nqueSize += 1\n}\n/* \u51fa\u961f */\n@discardableResult\nfunc poll() -&gt; Int {\nlet num = peek()\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity()\nqueSize -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u961f\u5217\u4e3a\u7a7a\")\n}\nreturn nums[front]\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\nfunc toArray() -&gt; [Int] {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar res = Array(repeating: 0, count: queSize)\nfor (i, j) in sequence(first: (0, front), next: { $0 &lt; self.queSize - 1 ? ($0 + 1, $1 + 1) : nil }) {\nres[i] = nums[j % capacity()]\n}\nreturn res\n}\n}\n</code></pre> array_queue.zig<pre><code>// \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217\nfn ArrayQueue(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nnums: []T = undefined,                          // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4     \ncap: usize = 0,                                 // \u961f\u5217\u5bb9\u91cf\nfront: usize = 0,                               // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nqueSize: usize = 0,                             // \u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e + 1\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6570\u7ec4\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator, cap: usize) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.cap = cap;\nself.nums = try self.mem_allocator.alloc(T, self.cap);\nstd.mem.set(T, self.nums, @as(T, 0));\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf\npub fn capacity(self: *Self) usize {\nreturn self.cap;\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.queSize;\n}\n// \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.queSize == 0;\n}\n// \u5165\u961f\npub fn push(self: *Self, num: T) !void {\nif (self.size() == self.capacity()) {\nstd.debug.print(\"\u961f\u5217\u5df2\u6ee1\\n\", .{});\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nvar rear = (self.front + self.queSize) % self.capacity();\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nself.nums[rear] = num;\nself.queSize += 1;\n} // \u51fa\u961f\npub fn poll(self: *Self) T {\nvar num = self.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nself.front = (self.front + 1) % self.capacity();\nself.queSize -= 1;\nreturn num;\n} // \u8bbf\u95ee\u961f\u9996\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.isEmpty()) @panic(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn self.nums[self.front];\n} // \u8fd4\u56de\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nvar j: usize = self.front;\nwhile (i &lt; self.size()) : ({ i += 1; j += 1; }) {\nres[i] = self.nums[j % self.capacity()];\n}\nreturn res;\n}\n};\n}\n</code></pre> <p>\u4ee5\u4e0a\u4ee3\u7801\u4ecd\u5b58\u5728\u5c40\u9650\u6027\uff0c\u5373\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5c06\u6570\u7ec4\u66ff\u6362\u4e3a\u5217\u8868\uff08\u5373\u52a8\u6001\u6570\u7ec4\uff09\u6765\u5f15\u5165\u6269\u5bb9\u673a\u5236\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u5c1d\u8bd5\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#523","title":"5.2.3. \u4e24\u79cd\u5b9e\u73b0\u5bf9\u6bd4","text":"<p>\u4e0e\u6808\u7684\u7ed3\u8bba\u4e00\u81f4\uff0c\u5728\u6b64\u4e0d\u518d\u8d58\u8ff0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#524","title":"5.2.4. \u961f\u5217\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u6dd8\u5b9d\u8ba2\u5355\u3002\u8d2d\u7269\u8005\u4e0b\u5355\u540e\uff0c\u8ba2\u5355\u5c31\u88ab\u52a0\u5165\u5230\u961f\u5217\u4e4b\u4e2d\uff0c\u968f\u540e\u7cfb\u7edf\u518d\u6839\u636e\u987a\u5e8f\u4f9d\u6b21\u5904\u7406\u961f\u5217\u4e2d\u7684\u8ba2\u5355\u3002\u5728\u53cc\u5341\u4e00\u65f6\uff0c\u5728\u77ed\u65f6\u95f4\u5185\u4f1a\u4ea7\u751f\u6d77\u91cf\u7684\u8ba2\u5355\uff0c\u5982\u4f55\u5904\u7406\u300c\u9ad8\u5e76\u53d1\u300d\u5219\u662f\u5de5\u7a0b\u5e08\u4eec\u9700\u8981\u91cd\u70b9\u601d\u8003\u7684\u95ee\u9898\u3002</li> <li>\u5404\u79cd\u5f85\u529e\u4e8b\u9879\u3002\u4f8b\u5982\u6253\u5370\u673a\u7684\u4efb\u52a1\u961f\u5217\u3001\u9910\u5385\u7684\u51fa\u9910\u961f\u5217\u7b49\u7b49\u3002</li> </ul>"},{"location":"chapter_stack_and_queue/stack/","title":"5.1. \u6808","text":"<p>\u300c\u6808 Stack\u300d\u662f\u4e00\u79cd\u9075\u5faa\u300c\u5148\u5165\u540e\u51fa first in, last out\u300d\u6570\u636e\u64cd\u4f5c\u89c4\u5219\u7684\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u6808\u7c7b\u6bd4\u4e3a\u653e\u5728\u684c\u9762\u4e0a\u7684\u4e00\u645e\u76d8\u5b50\uff0c\u5982\u679c\u9700\u8981\u62ff\u51fa\u5e95\u90e8\u7684\u76d8\u5b50\uff0c\u5219\u9700\u8981\u5148\u5c06\u4e0a\u9762\u7684\u76d8\u5b50\u4f9d\u6b21\u53d6\u51fa\u3002</p> <p>\u201c\u76d8\u5b50\u201d\u662f\u4e00\u79cd\u5f62\u8c61\u6bd4\u55bb\uff0c\u6211\u4eec\u5c06\u76d8\u5b50\u66ff\u6362\u4e3a\u4efb\u610f\u4e00\u79cd\u5143\u7d20\uff08\u4f8b\u5982\u6574\u6570\u3001\u5b57\u7b26\u3001\u5bf9\u8c61\u7b49\uff09\uff0c\u5c31\u5f97\u5230\u4e86\u6808\u6570\u636e\u7ed3\u6784\u3002</p> <p>\u6211\u4eec\u5c06\u8fd9\u4e00\u645e\u5143\u7d20\u7684\u9876\u90e8\u79f0\u4e3a\u300c\u6808\u9876\u300d\uff0c\u5c06\u5e95\u90e8\u79f0\u4e3a\u300c\u6808\u5e95\u300d\uff0c\u5c06\u628a\u5143\u7d20\u6dfb\u52a0\u5230\u6808\u9876\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u5165\u6808\u300d\uff0c\u5c06\u5220\u9664\u6808\u9876\u5143\u7d20\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u51fa\u6808\u300d\u3002</p> <p></p> <p> Fig. \u6808\u7684\u5148\u5165\u540e\u51fa\u7279\u6027 </p>"},{"location":"chapter_stack_and_queue/stack/#511","title":"5.1.1. \u6808\u5e38\u7528\u64cd\u4f5c","text":"<p>\u6808\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff08\u65b9\u6cd5\u547d\u540d\u4ee5 Java \u4e3a\u4f8b\uff09\u3002</p> <p> Table. \u6808\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5 \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 push() \u5143\u7d20\u5165\u6808\uff08\u6dfb\u52a0\u81f3\u6808\u9876\uff09 \\(O(1)\\) pop() \u6808\u9876\u5143\u7d20\u51fa\u6808 \\(O(1)\\) peek() \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u6808\u7c7b\u3002 \u67d0\u4e9b\u8bed\u8a00\u5e76\u672a\u4e13\u95e8\u63d0\u4f9b\u6808\u7c7b\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u628a\u8be5\u8bed\u8a00\u7684\u300c\u6570\u7ec4\u300d\u6216\u300c\u94fe\u8868\u300d\u770b\u4f5c\u6808\u6765\u4f7f\u7528\uff0c\u5e76\u901a\u8fc7\u201c\u8111\u8865\u201d\u6765\u5c4f\u853d\u65e0\u5173\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig stack.java<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// \u5728 Java \u4e2d\uff0c\u63a8\u8350\u5c06 ArrayList \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nList&lt;Integer&gt; stack = new ArrayList&lt;&gt;();\n/* \u5143\u7d20\u5165\u6808 */\nstack.add(1);\nstack.add(3);\nstack.add(2);\nstack.add(5);\nstack.add(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint peek = stack.get(stack.size() - 1);\n/* \u5143\u7d20\u51fa\u6808 */\nint pop = stack.remove(stack.size() - 1);\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.size();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = stack.isEmpty();\n</code></pre> stack.cpp<pre><code>/* \u521d\u59cb\u5316\u6808 */\nstack&lt;int&gt; stack;\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top = stack.top();\n/* \u5143\u7d20\u51fa\u6808 */\nstack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.size();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nbool empty = stack.empty();\n</code></pre> stack.py<pre><code>\"\"\" \u521d\u59cb\u5316\u6808 \"\"\"\n# Python \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a List \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nstack = []\n\"\"\" \u5143\u7d20\u5165\u6808 \"\"\"\nstack.append(1)\nstack.append(3)\nstack.append(2)\nstack.append(5)\nstack.append(4)\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\npeek = stack[-1]\n\"\"\" \u5143\u7d20\u51fa\u6808 \"\"\"\npop = stack.pop()\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\nsize = len(stack)\n\"\"\" \u5224\u65ad\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(stack) == 0\n</code></pre> stack_test.go<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// \u5728 Go \u4e2d\uff0c\u63a8\u8350\u5c06 Slice \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nvar stack []int\n/* \u5143\u7d20\u5165\u6808 */\nstack = append(stack, 1)\nstack = append(stack, 3)\nstack = append(stack, 2)\nstack = append(stack, 5)\nstack = append(stack, 4)\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek := stack[len(stack)-1]\n/* \u5143\u7d20\u51fa\u6808 */\npop := stack[len(stack)-1]\nstack = stack[:len(stack)-1]\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nsize := len(stack)\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nisEmpty := len(stack) == 0\n</code></pre> stack.js<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Javascript \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nconst stack = [];\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nconst peek = stack[stack.length-1];\n/* \u5143\u7d20\u51fa\u6808 */\nconst pop = stack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nconst size = stack.length;\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nconst is_empty = stack.length === 0;\n</code></pre> stack.ts<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Typescript \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nconst stack: number[] = [];\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nconst peek = stack[stack.length - 1];\n/* \u5143\u7d20\u51fa\u6808 */\nconst pop = stack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nconst size = stack.length;\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nconst is_empty = stack.length === 0;\n</code></pre> stack.c<pre><code>\n</code></pre> stack.cs<pre><code>/* \u521d\u59cb\u5316\u6808 */\nStack&lt;int&gt; stack = new ();\n/* \u5143\u7d20\u5165\u6808 */\nstack.Push(1);\nstack.Push(3);\nstack.Push(2);\nstack.Push(5);\nstack.Push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint peek = stack.Peek();\n/* \u5143\u7d20\u51fa\u6808 */\nint pop = stack.Pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.Count();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = stack.Count()==0;\n</code></pre> stack.swift<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nvar stack: [Int] = []\n/* \u5143\u7d20\u5165\u6808 */\nstack.append(1)\nstack.append(3)\nstack.append(2)\nstack.append(5)\nstack.append(4)\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nlet peek = stack.last!\n/* \u5143\u7d20\u51fa\u6808 */\nlet pop = stack.removeLast()\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nlet size = stack.count\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = stack.isEmpty\n</code></pre> stack.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#512","title":"5.1.2. \u6808\u7684\u5b9e\u73b0","text":"<p>\u4e3a\u4e86\u66f4\u52a0\u6e05\u6670\u5730\u4e86\u89e3\u6808\u7684\u8fd0\u884c\u673a\u5236\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u6765\u81ea\u5df1\u52a8\u624b\u5b9e\u73b0\u4e00\u4e2a\u6808\u7c7b\u3002</p> <p>\u6808\u89c4\u5b9a\u5143\u7d20\u662f\u5148\u5165\u540e\u51fa\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u53ea\u80fd\u5728\u6808\u9876\u6dfb\u52a0\u6216\u5220\u9664\u5143\u7d20\u3002\u7136\u800c\uff0c\u6570\u7ec4\u6216\u94fe\u8868\u90fd\u53ef\u4ee5\u5728\u4efb\u610f\u4f4d\u7f6e\u6dfb\u52a0\u5220\u9664\u5143\u7d20\uff0c\u56e0\u6b64 \u6808\u53ef\u88ab\u770b\u4f5c\u662f\u4e00\u79cd\u53d7\u7ea6\u675f\u7684\u6570\u7ec4\u6216\u94fe\u8868\u3002\u6362\u8a00\u4e4b\uff0c\u6211\u4eec\u53ef\u4ee5\u201c\u5c4f\u853d\u201d\u6570\u7ec4\u6216\u94fe\u8868\u7684\u90e8\u5206\u65e0\u5173\u64cd\u4f5c\uff0c\u4f7f\u4e4b\u5bf9\u5916\u7684\u8868\u73b0\u903b\u8f91\u7b26\u5408\u6808\u7684\u89c4\u5b9a\u5373\u53ef\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#_1","title":"\u57fa\u4e8e\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u4f7f\u7528\u300c\u94fe\u8868\u300d\u5b9e\u73b0\u6808\u65f6\uff0c\u5c06\u94fe\u8868\u7684\u5934\u7ed3\u70b9\u770b\u4f5c\u6808\u9876\uff0c\u5c06\u5c3e\u7ed3\u70b9\u770b\u4f5c\u6808\u5e95\u3002</p> <p>\u5bf9\u4e8e\u5165\u6808\u64cd\u4f5c\uff0c\u5c06\u5143\u7d20\u63d2\u5165\u5230\u94fe\u8868\u5934\u90e8\u5373\u53ef\uff0c\u8fd9\u79cd\u7ed3\u70b9\u6dfb\u52a0\u65b9\u5f0f\u88ab\u79f0\u4e3a\u201c\u5934\u63d2\u6cd5\u201d\u3002\u800c\u5bf9\u4e8e\u51fa\u6808\u64cd\u4f5c\uff0c\u5219\u5c06\u5934\u7ed3\u70b9\u4ece\u94fe\u8868\u4e2d\u5220\u9664\u5373\u53ef\u3002</p> LinkedListStackpush()pop() <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u6808\u7684\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_stack.java<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate ListNode stackPeek;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate int stkSize = 0;   // \u6808\u7684\u957f\u5ea6\npublic LinkedListStack() {\nstackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size() {\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num) {\nListNode node = new ListNode(num);\nnode.next = stackPeek;\nstackPeek = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\npublic int pop() {\nint num = peek();\nstackPeek = stackPeek.next;\nstkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek() {\nif (size() == 0)\nthrow new EmptyStackException();\nreturn stackPeek.val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray() {\nListNode node = stackPeek;\nint[] res = new int[size()];\nfor (int i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.cpp<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate:\nListNode* stackTop; // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nint stkSize;        // \u6808\u7684\u957f\u5ea6\npublic:\nLinkedListStack() {\nstackTop = nullptr;\nstkSize = 0;\n}\n~LinkedListStack() {\nfreeMemoryLinkedList(stackTop);\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size() {\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\nvoid push(int num) {\nListNode* node = new ListNode(num);\nnode-&gt;next = stackTop;\nstackTop = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\nvoid pop() {\nint num = top();\nListNode *tmp = stackTop;\nstackTop = stackTop-&gt;next;\n// \u91ca\u653e\u5185\u5b58\ndelete tmp;\nstkSize--;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top() {\nif (size() == 0)\nthrow out_of_range(\"\u6808\u4e3a\u7a7a\");\nreturn stackTop-&gt;val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\nListNode* node = stackTop;\nvector&lt;int&gt; res(size());\nfor (int i = res.size() - 1; i &gt;= 0; i--) {\nres[i] = node-&gt;val;\nnode = node-&gt;next;\n}\nreturn res;\n}\n};\n</code></pre> linkedlist_stack.py<pre><code>\"\"\" \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 \"\"\"\nclass LinkedListStack:\ndef __init__(self):\nself.__peek = None\nself.__size = 0\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn not self.__peek\n\"\"\" \u5165\u6808 \"\"\"\ndef push(self, val):\nnode = ListNode(val)\nnode.next = self.__peek\nself.__peek = node\nself.__size += 1\n\"\"\" \u51fa\u6808 \"\"\"\ndef pop(self):\nnum = self.peek()\nself.__peek = self.__peek.next\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\ndef peek(self):\n# \u5224\u7a7a\u5904\u7406\nif not self.__peek: return None\nreturn self.__peek.val\n\"\"\" \u8f6c\u5316\u4e3a\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\narr = []\nnode = self.__peek\nwhile node:\narr.append(node.val)\nnode = node.next\narr.reverse()\nreturn arr\n</code></pre> linkedlist_stack.go<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\ntype linkedListStack struct {\n// \u4f7f\u7528\u5185\u7f6e\u5305 list \u6765\u5b9e\u73b0\u6808\ndata *list.List\n}\n/* \u521d\u59cb\u5316\u6808 */\nfunc newLinkedListStack() *linkedListStack {\nreturn &amp;linkedListStack{\ndata: list.New(),\n}\n}\n/* \u5165\u6808 */\nfunc (s *linkedListStack) push(value int) {\ns.data.PushBack(value)\n}\n/* \u51fa\u6808 */\nfunc (s *linkedListStack) pop() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Back()\ns.data.Remove(e)\nreturn e.Value\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc (s *linkedListStack) peek() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Back()\nreturn e.Value\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc (s *linkedListStack) size() int {\nreturn s.data.Len()\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc (s *linkedListStack) isEmpty() bool {\nreturn s.data.Len() == 0\n}\n/* \u83b7\u53d6 List \u7528\u4e8e\u6253\u5370 */\nfunc (s *linkedListStack) toList() *list.List {\nreturn s.data\n}\n</code></pre> linkedlist_stack.js<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\n#stackPeek;     // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\n#stkSize = 0;   // \u6808\u7684\u957f\u5ea6\nconstructor() {\nthis.#stackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.size == 0;\n}\n/* \u5165\u6808 */\npush(num) {\nconst node = new ListNode(num);\nnode.next = this.#stackPeek;\nthis.#stackPeek = node;\nthis.#stkSize++;\n}\n/* \u51fa\u6808 */\npop() {\nconst num = this.peek();\nthis.#stackPeek = this.#stackPeek.next;\nthis.#stkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek() {\nif (!this.#stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.#stackPeek.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray() {\nlet node = this.#stackPeek;\nconst res = new Array(this.size);\nfor (let i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.ts<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate stackPeek: ListNode | null;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate stkSize: number = 0;         // \u6808\u7684\u957f\u5ea6\nconstructor() {\nthis.stackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.size == 0;\n}\n/* \u5165\u6808 */\npush(num: number): void {\nconst node = new ListNode(num);\nnode.next = this.stackPeek;\nthis.stackPeek = node;\nthis.stkSize++;\n}\n/* \u51fa\u6808 */\npop(): number {\nconst num = this.peek();\nif (!this.stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nthis.stackPeek = this.stackPeek.next;\nthis.stkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek(): number {\nif (!this.stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stackPeek.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray(): number[] {\nlet node = this.stackPeek;\nconst res = new Array&lt;number&gt;(this.size);\nfor (let i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node!.val;\nnode = node!.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.c<pre><code>[class]{linkedListStack}-[func]{}\n</code></pre> linkedlist_stack.cs<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack\n{\nprivate ListNode? stackPeek;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate int stkSize = 0;   // \u6808\u7684\u957f\u5ea6\npublic LinkedListStack()\n{\nstackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num)\n{\nListNode node = new ListNode(num);\nnode.next = stackPeek;\nstackPeek = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\npublic int pop()\n{\nif (stackPeek == null)\nthrow new Exception();\nint num = peek();\nstackPeek = stackPeek.next;\nstkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek()\n{\nif (size() == 0 || stackPeek == null)\nthrow new Exception();\nreturn stackPeek.val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nif (stackPeek == null)\nreturn Array.Empty&lt;int&gt;();\nListNode node = stackPeek;\nint[] res = new int[size()];\nfor (int i = res.Length - 1; i &gt;= 0; i--)\n{\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.swift<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate var _peek: ListNode? // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate var _size = 0 // \u6808\u7684\u957f\u5ea6\ninit() {}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\n_size\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nsize() == 0\n}\n/* \u5165\u6808 */\nfunc push(num: Int) {\nlet node = ListNode(x: num)\nnode.next = _peek\n_peek = node\n_size += 1\n}\n/* \u51fa\u6808 */\n@discardableResult\nfunc pop() -&gt; Int {\nlet num = peek()\n_peek = _peek?.next\n_size -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn _peek!.val\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nvar node = _peek\nvar res = Array(repeating: 0, count: _size)\nfor i in sequence(first: res.count - 1, next: { $0 &gt;= 0 + 1 ? $0 - 1 : nil }) {\nres[i] = node!.val\nnode = node?.next\n}\nreturn res\n}\n}\n</code></pre> linkedlist_stack.zig<pre><code>// \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808\nfn LinkedListStack(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nstackTop: ?*inc.ListNode(T) = null,             // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nstkSize: usize = 0,                             // \u6808\u7684\u957f\u5ea6\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6808\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.stackTop = null;\nself.stkSize = 0;\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u6808\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.stkSize;\n}\n// \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u6808\u9876\u5143\u7d20\npub fn top(self: *Self) T {\nif (self.size() == 0) @panic(\"\u6808\u4e3a\u7a7a\");\nreturn self.stackTop.?.val;\n}  // \u5165\u6808\npub fn push(self: *Self, num: T) !void {\nvar node = try self.mem_allocator.create(inc.ListNode(T));\nnode.init(num);\nnode.next = self.stackTop;\nself.stackTop = node;\nself.stkSize += 1;\n} // \u51fa\u6808\npub fn pop(self: *Self) T {\nvar num = self.top();\nself.stackTop = self.stackTop.?.next;\nself.stkSize -= 1;\nreturn num;\n} // \u5c06\u6808\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\nvar node = self.stackTop;\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nwhile (i &lt; res.len) : (i += 1) {\nres[res.len - i - 1] = node.?.val;\nnode = node.?.next;\n}\nreturn res;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#_2","title":"\u57fa\u4e8e\u6570\u7ec4\u7684\u5b9e\u73b0","text":"<p>\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u5b9e\u73b0\u6808\u65f6\uff0c\u8003\u8651\u5c06\u6570\u7ec4\u7684\u5c3e\u90e8\u5f53\u4f5c\u6808\u9876\u3002\u8fd9\u6837\u8bbe\u8ba1\u4e0b\uff0c\u300c\u5165\u6808\u300d\u4e0e\u300c\u51fa\u6808\u300d\u64cd\u4f5c\u5c31\u5bf9\u5e94\u5728\u6570\u7ec4\u5c3e\u90e8\u300c\u6dfb\u52a0\u5143\u7d20\u300d\u4e0e\u300c\u5220\u9664\u5143\u7d20\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(1)\\) \u3002</p> ArrayStackpush()pop() <p></p> <p></p> <p></p> <p>\u7531\u4e8e\u5165\u6808\u7684\u5143\u7d20\u53ef\u80fd\u662f\u6e90\u6e90\u4e0d\u65ad\u7684\uff0c\u56e0\u6b64\u53ef\u4ee5\u4f7f\u7528\u652f\u6301\u52a8\u6001\u6269\u5bb9\u7684\u300c\u5217\u8868\u300d\uff0c\u8fd9\u6837\u5c31\u65e0\u9700\u81ea\u884c\u5b9e\u73b0\u6570\u7ec4\u6269\u5bb9\u4e86\u3002\u4ee5\u4e0b\u662f\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_stack.java<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate ArrayList&lt;Integer&gt; stack;\npublic ArrayStack() {\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = new ArrayList&lt;&gt;();\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size() {\nreturn stack.size();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num) {\nstack.add(num);\n}\n/* \u51fa\u6808 */\npublic int pop() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn stack.remove(size() - 1);\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn stack.get(size() - 1);\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic Object[] toArray() {\nreturn stack.toArray();\n}\n}\n</code></pre> array_stack.cpp<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate:\nvector&lt;int&gt; stack;\npublic:\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size() {\nreturn stack.size();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn stack.empty();\n}\n/* \u5165\u6808 */\nvoid push(int num) {\nstack.push_back(num);\n}\n/* \u51fa\u6808 */\nvoid pop() {\nint oldTop = top();\nstack.pop_back();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top() {\nif(empty())\nthrow out_of_range(\"\u6808\u4e3a\u7a7a\");\nreturn stack.back();\n}\n/* \u8fd4\u56de Vector */\nvector&lt;int&gt; toVector() {\nreturn stack;\n}\n};\n</code></pre> array_stack.py<pre><code>\"\"\" \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 \"\"\"\nclass ArrayStack:\ndef __init__(self):\nself.__stack = []\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn len(self.__stack)\n\"\"\" \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn self.__stack == []\n\"\"\" \u5165\u6808 \"\"\"\ndef push(self, item):\nself.__stack.append(item)\n\"\"\" \u51fa\u6808 \"\"\"\ndef pop(self):\nassert not self.is_empty(), \"\u6808\u4e3a\u7a7a\"\nreturn self.__stack.pop()\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\ndef peek(self):\nassert not self.is_empty(), \"\u6808\u4e3a\u7a7a\"\nreturn self.__stack[-1]\n\"\"\" \u8fd4\u56de\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nreturn self.__stack\n</code></pre> array_stack.go<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\ntype arrayStack struct {\ndata []int // \u6570\u636e\n}\n/* \u521d\u59cb\u5316\u6808 */\nfunc newArrayStack() *arrayStack {\nreturn &amp;arrayStack{\n// \u8bbe\u7f6e\u6808\u7684\u957f\u5ea6\u4e3a 0\uff0c\u5bb9\u91cf\u4e3a 16\ndata: make([]int, 0, 16),\n}\n}\n/* \u6808\u7684\u957f\u5ea6 */\nfunc (s *arrayStack) size() int {\nreturn len(s.data)\n}\n/* \u6808\u662f\u5426\u4e3a\u7a7a */\nfunc (s *arrayStack) isEmpty() bool {\nreturn s.size() == 0\n}\n/* \u5165\u6808 */\nfunc (s *arrayStack) push(v int) {\n// \u5207\u7247\u4f1a\u81ea\u52a8\u6269\u5bb9\ns.data = append(s.data, v)\n}\n/* \u51fa\u6808 */\nfunc (s *arrayStack) pop() any {\nval := s.peek()\ns.data = s.data[:len(s.data)-1]\nreturn val\n}\n/* \u83b7\u53d6\u6808\u9876\u5143\u7d20 */\nfunc (s *arrayStack) peek() any {\nif s.isEmpty() {\nreturn nil\n}\nval := s.data[len(s.data)-1]\nreturn val\n}\n/* \u83b7\u53d6 Slice \u7528\u4e8e\u6253\u5370 */\nfunc (s *arrayStack) toSlice() []int {\nreturn s.data\n}\n</code></pre> array_stack.js<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nstack;\nconstructor() {\nthis.stack = [];\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size() {\nreturn this.stack.length;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nempty() {\nreturn this.stack.length === 0;\n}\n/* \u5165\u6808 */\npush(num) {\nthis.stack.push(num);\n}\n/* \u51fa\u6808 */\npop() {\nif (this.empty())\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stack.pop();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\ntop() {\nif (this.empty())\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stack[this.stack.length - 1];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\nreturn this.stack;\n}\n};\n</code></pre> array_stack.ts<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate stack: number[];\nconstructor() {\nthis.stack = [];\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.stack.length;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nempty(): boolean {\nreturn this.stack.length === 0;\n}\n/* \u5165\u6808 */\npush(num: number): void {\nthis.stack.push(num);\n}\n/* \u51fa\u6808 */\npop(): number | undefined {\nif (this.empty())\nthrow new Error('\u6808\u4e3a\u7a7a');\nreturn this.stack.pop();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\ntop(): number | undefined {\nif (this.empty())\nthrow new Error('\u6808\u4e3a\u7a7a');\nreturn this.stack[this.stack.length - 1];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\nreturn this.stack;\n}\n};\n</code></pre> array_stack.c<pre><code>[class]{arrayStack}-[func]{}\n</code></pre> array_stack.cs<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack\n{\nprivate List&lt;int&gt; stack;\npublic ArrayStack()\n{\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = new();\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn stack.Count();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num)\n{\nstack.Add(num);\n}\n/* \u51fa\u6808 */\npublic int pop()\n{\nif (isEmpty())\nthrow new Exception();\nvar val = peek();\nstack.RemoveAt(size() - 1);\nreturn val;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek()\n{\nif (isEmpty())\nthrow new Exception();\nreturn stack[size() - 1];\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nreturn stack.ToArray();\n}\n}\n</code></pre> array_stack.swift<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate var stack: [Int]\ninit() {\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = []\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\nstack.count\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nstack.isEmpty\n}\n/* \u5165\u6808 */\nfunc push(num: Int) {\nstack.append(num)\n}\n/* \u51fa\u6808 */\n@discardableResult\nfunc pop() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn stack.removeLast()\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn stack.last!\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nstack\n}\n}\n</code></pre> array_stack.zig<pre><code>// \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808\nfn ArrayStack(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nstack: ?std.ArrayList(T) = null,     // \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6808\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) void {\nif (self.stack == null) {\nself.stack = std.ArrayList(T).init(allocator);\n}\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.stack == null) return;\nself.stack.?.deinit();\n}\n// \u83b7\u53d6\u6808\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.stack.?.items.len;\n}\n// \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u6808\u9876\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.isEmpty()) @panic(\"\u6808\u4e3a\u7a7a\");\nreturn self.stack.?.items[self.size() - 1];\n}  // \u5165\u6808\npub fn push(self: *Self, num: T) !void {\ntry self.stack.?.append(num);\n} // \u51fa\u6808\npub fn pop(self: *Self) T {\nvar num = self.stack.?.pop();\nreturn num;\n} // \u8fd4\u56de ArrayList\npub fn toList(self: *Self) std.ArrayList(T) {\nreturn self.stack.?;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#513","title":"5.1.3. \u4e24\u79cd\u5b9e\u73b0\u5bf9\u6bd4","text":""},{"location":"chapter_stack_and_queue/stack/#_3","title":"\u652f\u6301\u64cd\u4f5c","text":"<p>\u4e24\u79cd\u5b9e\u73b0\u90fd\u652f\u6301\u6808\u5b9a\u4e49\u4e2d\u7684\u5404\u9879\u64cd\u4f5c\uff0c\u6570\u7ec4\u5b9e\u73b0\u989d\u5916\u652f\u6301\u968f\u673a\u8bbf\u95ee\uff0c\u4f46\u8fd9\u5df2\u7ecf\u8d85\u51fa\u6808\u7684\u5b9a\u4e49\u8303\u7574\uff0c\u4e00\u822c\u4e0d\u4f1a\u7528\u5230\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#_4","title":"\u65f6\u95f4\u6548\u7387","text":"<p>\u5728\u6570\u7ec4\uff08\u5217\u8868\uff09\u5b9e\u73b0\u4e2d\uff0c\u5165\u6808\u4e0e\u51fa\u6808\u64cd\u4f5c\u90fd\u662f\u5728\u9884\u5148\u5206\u914d\u597d\u7684\u8fde\u7eed\u5185\u5b58\u4e2d\u64cd\u4f5c\uff0c\u5177\u6709\u5f88\u597d\u7684\u7f13\u5b58\u672c\u5730\u6027\uff0c\u6548\u7387\u5f88\u597d\u3002\u7136\u800c\uff0c\u5982\u679c\u5165\u6808\u65f6\u8d85\u51fa\u6570\u7ec4\u5bb9\u91cf\uff0c\u5219\u4f1a\u89e6\u53d1\u6269\u5bb9\u673a\u5236\uff0c\u90a3\u4e48\u8be5\u6b21\u5165\u6808\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \u3002</p> <p>\u5728\u94fe\u8868\u5b9e\u73b0\u4e2d\uff0c\u94fe\u8868\u7684\u6269\u5bb9\u975e\u5e38\u7075\u6d3b\uff0c\u4e0d\u5b58\u5728\u4e0a\u8ff0\u6570\u7ec4\u6269\u5bb9\u65f6\u53d8\u6162\u7684\u95ee\u9898\u3002\u7136\u800c\uff0c\u5165\u6808\u64cd\u4f5c\u9700\u8981\u521d\u59cb\u5316\u7ed3\u70b9\u5bf9\u8c61\u5e76\u4fee\u6539\u6307\u9488\uff0c\u56e0\u800c\u6548\u7387\u4e0d\u5982\u6570\u7ec4\u3002\u8fdb\u4e00\u6b65\u5730\u601d\u8003\uff0c\u5982\u679c\u5165\u6808\u5143\u7d20\u4e0d\u662f <code>int</code> \u800c\u662f\u7ed3\u70b9\u5bf9\u8c61\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u7701\u53bb\u521d\u59cb\u5316\u6b65\u9aa4\uff0c\u4ece\u800c\u63d0\u5347\u6548\u7387\u3002</p> <p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u5f53\u5165\u6808\u4e0e\u51fa\u6808\u64cd\u4f5c\u7684\u5143\u7d20\u662f\u57fa\u672c\u6570\u636e\u7c7b\u578b\uff08\u4f8b\u5982 <code>int</code> , <code>double</code> \uff09\u65f6\uff0c\u5219\u7ed3\u8bba\u5982\u4e0b\uff1a</p> <ul> <li>\u6570\u7ec4\u5b9e\u73b0\u7684\u6808\u5728\u89e6\u53d1\u6269\u5bb9\u65f6\u4f1a\u53d8\u6162\uff0c\u4f46\u7531\u4e8e\u6269\u5bb9\u662f\u4f4e\u9891\u64cd\u4f5c\uff0c\u56e0\u6b64 \u603b\u4f53\u6548\u7387\u66f4\u9ad8\uff1b</li> <li>\u94fe\u8868\u5b9e\u73b0\u7684\u6808\u53ef\u4ee5\u63d0\u4f9b \u66f4\u52a0\u7a33\u5b9a\u7684\u6548\u7387\u8868\u73b0\uff1b</li> </ul>"},{"location":"chapter_stack_and_queue/stack/#_5","title":"\u7a7a\u95f4\u6548\u7387","text":"<p>\u5728\u521d\u59cb\u5316\u5217\u8868\u65f6\uff0c\u7cfb\u7edf\u4f1a\u7ed9\u5217\u8868\u5206\u914d\u201c\u521d\u59cb\u5bb9\u91cf\u201d\uff0c\u8be5\u5bb9\u91cf\u53ef\u80fd\u8d85\u8fc7\u6211\u4eec\u7684\u9700\u6c42\u3002\u5e76\u4e14\u6269\u5bb9\u673a\u5236\u4e00\u822c\u662f\u6309\u7167\u7279\u5b9a\u500d\u7387\uff08\u6bd4\u5982 2 \u500d\uff09\u8fdb\u884c\u6269\u5bb9\uff0c\u6269\u5bb9\u540e\u7684\u5bb9\u91cf\u4e5f\u53ef\u80fd\u8d85\u51fa\u6211\u4eec\u7684\u9700\u6c42\u3002\u56e0\u6b64\uff0c\u6570\u7ec4\u5b9e\u73b0\u6808\u4f1a\u9020\u6210\u4e00\u5b9a\u7684\u7a7a\u95f4\u6d6a\u8d39\u3002</p> <p>\u5f53\u7136\uff0c\u7531\u4e8e\u7ed3\u70b9\u9700\u8981\u989d\u5916\u5b58\u50a8\u6307\u9488\uff0c\u56e0\u6b64 \u94fe\u8868\u7ed3\u70b9\u6bd4\u6570\u7ec4\u5143\u7d20\u5360\u7528\u66f4\u5927\u3002</p> <p>\u7efc\u4e0a\uff0c\u6211\u4eec\u4e0d\u80fd\u7b80\u5355\u5730\u786e\u5b9a\u54ea\u79cd\u5b9e\u73b0\u66f4\u52a0\u7701\u5185\u5b58\uff0c\u9700\u8981 case-by-case \u5730\u5206\u6790\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#514","title":"5.1.4. \u6808\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u6d4f\u89c8\u5668\u4e2d\u7684\u540e\u9000\u4e0e\u524d\u8fdb\u3001\u8f6f\u4ef6\u4e2d\u7684\u64a4\u9500\u4e0e\u53cd\u64a4\u9500\u3002\u6bcf\u5f53\u6211\u4eec\u6253\u5f00\u65b0\u7684\u7f51\u9875\uff0c\u6d4f\u89c8\u5668\u5c31\u5c06\u4e0a\u4e00\u4e2a\u7f51\u9875\u6267\u884c\u5165\u6808\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u300c\u540e\u9000\u300d\u64cd\u4f5c\u6765\u56de\u5230\u4e0a\u4e00\u9875\u9762\uff0c\u540e\u9000\u64cd\u4f5c\u5b9e\u9645\u4e0a\u662f\u5728\u6267\u884c\u51fa\u6808\u3002\u5982\u679c\u8981\u540c\u65f6\u652f\u6301\u540e\u9000\u548c\u524d\u8fdb\uff0c\u90a3\u4e48\u5219\u9700\u8981\u4e24\u4e2a\u6808\u6765\u914d\u5408\u5b9e\u73b0\u3002</li> <li>\u7a0b\u5e8f\u5185\u5b58\u7ba1\u7406\u3002\u6bcf\u5f53\u8c03\u7528\u51fd\u6570\u65f6\uff0c\u7cfb\u7edf\u5c31\u4f1a\u5728\u6808\u9876\u6dfb\u52a0\u4e00\u4e2a\u6808\u5e27\uff0c\u7528\u6765\u8bb0\u5f55\u51fd\u6570\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\u3002\u5728\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u5411\u4e0b\u9012\u63a8\u4f1a\u4e0d\u65ad\u6267\u884c\u5165\u6808\uff0c\u5411\u4e0a\u56de\u6eaf\u9636\u6bb5\u65f6\u51fa\u6808\u3002</li> </ul>"},{"location":"chapter_stack_and_queue/summary/","title":"5.4. \u5c0f\u7ed3","text":"<ul> <li>\u6808\u662f\u4e00\u79cd\u9075\u5faa\u5148\u5165\u540e\u51fa\u7684\u6570\u636e\u7ed3\u6784\uff0c\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u6216\u94fe\u8868\u5b9e\u73b0\u3002</li> <li>\u5728\u65f6\u95f4\u6548\u7387\u65b9\u9762\uff0c\u6808\u7684\u6570\u7ec4\u5b9e\u73b0\u5177\u6709\u66f4\u597d\u7684\u5e73\u5747\u6548\u7387\uff0c\u4f46\u6269\u5bb9\u65f6\u4f1a\u5bfc\u81f4\u5355\u6b21\u5165\u6808\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \u3002\u76f8\u5bf9\u5730\uff0c\u6808\u7684\u94fe\u8868\u5b9e\u73b0\u5177\u6709\u66f4\u52a0\u7a33\u5b9a\u7684\u6548\u7387\u8868\u73b0\u3002</li> <li>\u5728\u7a7a\u95f4\u6548\u7387\u65b9\u9762\uff0c\u6808\u7684\u6570\u7ec4\u5b9e\u73b0\u4f1a\u9020\u6210\u4e00\u5b9a\u7a7a\u95f4\u6d6a\u8d39\uff0c\u7136\u800c\u94fe\u8868\u7ed3\u70b9\u6bd4\u6570\u7ec4\u5143\u7d20\u5360\u7528\u5185\u5b58\u66f4\u5927\u3002</li> <li>\u961f\u5217\u662f\u4e00\u79cd\u9075\u5faa\u5148\u5165\u5148\u51fa\u7684\u6570\u636e\u7ed3\u6784\uff0c\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u6216\u94fe\u8868\u5b9e\u73b0\u3002\u5bf9\u4e8e\u4e24\u79cd\u5b9e\u73b0\u7684\u65f6\u95f4\u6548\u7387\u4e0e\u7a7a\u95f4\u6548\u7387\u5bf9\u6bd4\uff0c\u4e0e\u4e0a\u8ff0\u6808\u7684\u7ed3\u8bba\u76f8\u540c\u3002</li> <li>\u53cc\u5411\u961f\u5217\u7684\u4e24\u7aef\u90fd\u53ef\u4ee5\u6dfb\u52a0\u4e0e\u5220\u9664\u5143\u7d20\u3002</li> </ul>"},{"location":"chapter_tree/avl_tree/","title":"7.4. AVL \u6811 *","text":"<p>\u5728\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u7ae0\u8282\u4e2d\u63d0\u5230\uff0c\u5728\u8fdb\u884c\u591a\u6b21\u63d2\u5165\u4e0e\u5220\u9664\u64cd\u4f5c\u540e\uff0c\u4e8c\u53c9\u641c\u7d22\u6811\u53ef\u80fd\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\u3002\u6b64\u65f6\u6240\u6709\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4f1a\u7531 \\(O(\\log n)\\) \u52a3\u5316\u81f3 \\(O(n)\\) \u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6267\u884c\u4e24\u6b65\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u8be5\u4e8c\u53c9\u641c\u7d22\u6811\u5c31\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\u3002</p> <p></p> <p>\u518d\u6bd4\u5982\uff0c\u5728\u4ee5\u4e0b\u5b8c\u7f8e\u4e8c\u53c9\u6811\u4e2d\u63d2\u5165\u4e24\u4e2a\u7ed3\u70b9\u540e\uff0c\u6811\u4e25\u91cd\u5411\u5de6\u504f\u659c\uff0c\u67e5\u627e\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u968f\u4e4b\u53d1\u751f\u52a3\u5316\u3002</p> <p></p> <p>G. M. Adelson-Velsky \u548c E. M. Landis \u5728\u5176 1962 \u5e74\u53d1\u8868\u7684\u8bba\u6587 \"An algorithm for the organization of information\" \u4e2d\u63d0\u51fa\u4e86\u300cAVL \u6811\u300d\u3002\u8bba\u6587\u4e2d\u63cf\u8ff0\u4e86\u4e00\u7cfb\u5217\u64cd\u4f5c\uff0c\u4f7f\u5f97\u5728\u4e0d\u65ad\u6dfb\u52a0\u4e0e\u5220\u9664\u7ed3\u70b9\u540e\uff0cAVL \u6811\u4ecd\u7136\u4e0d\u4f1a\u53d1\u751f\u9000\u5316\uff0c\u8fdb\u800c\u4f7f\u5f97\u5404\u79cd\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u80fd\u4fdd\u6301\u5728 \\(O(\\log n)\\) \u7ea7\u522b\u3002</p> <p>\u6362\u8a00\u4e4b\uff0c\u5728\u9891\u7e41\u589e\u5220\u67e5\u6539\u7684\u4f7f\u7528\u573a\u666f\u4e2d\uff0cAVL \u6811\u53ef\u59cb\u7ec8\u4fdd\u6301\u5f88\u9ad8\u7684\u6570\u636e\u589e\u5220\u67e5\u6539\u6548\u7387\uff0c\u5177\u6709\u5f88\u597d\u7684\u5e94\u7528\u4ef7\u503c\u3002</p>"},{"location":"chapter_tree/avl_tree/#741-avl","title":"7.4.1. AVL \u6811\u5e38\u89c1\u672f\u8bed","text":"<p>\u300cAVL \u6811\u300d\u65e2\u662f\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u53c8\u662f\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\uff0c\u540c\u65f6\u6ee1\u8db3\u8fd9\u4e24\u79cd\u4e8c\u53c9\u6811\u7684\u6240\u6709\u6027\u8d28\uff0c\u56e0\u6b64\u53c8\u88ab\u79f0\u4e3a\u300c\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u3002</p>"},{"location":"chapter_tree/avl_tree/#_1","title":"\u7ed3\u70b9\u9ad8\u5ea6","text":"<p>\u5728 AVL \u6811\u7684\u64cd\u4f5c\u4e2d\uff0c\u9700\u8981\u83b7\u53d6\u7ed3\u70b9\u300c\u9ad8\u5ea6 Height\u300d\uff0c\u6240\u4ee5\u7ed9 AVL \u6811\u7684\u7ed3\u70b9\u7c7b\u6dfb\u52a0 <code>height</code> \u53d8\u91cf\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\npublic int val; // \u7ed3\u70b9\u503c\npublic int height; // \u7ed3\u70b9\u9ad8\u5ea6\npublic TreeNode left; // \u5de6\u5b50\u7ed3\u70b9\npublic TreeNode right; // \u53f3\u5b50\u7ed3\u70b9\npublic TreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nstruct TreeNode {\nint val{};              // \u7ed3\u70b9\u503c\nint height = 0;         // \u7ed3\u70b9\u9ad8\u5ea6\nTreeNode *left{};       // \u5de6\u5b50\u7ed3\u70b9\nTreeNode *right{};      // \u53f3\u5b50\u7ed3\u70b9\nTreeNode() = default;\nexplicit TreeNode(int x) : val(x){}\n};\n</code></pre> <pre><code>\"\"\" AVL \u6811\u7ed3\u70b9\u7c7b \"\"\"\nclass TreeNode:\ndef __init__(self, val=None, left=None, right=None):\nself.val = val      # \u7ed3\u70b9\u503c\nself.height = 0     # \u7ed3\u70b9\u9ad8\u5ea6\nself.left = left    # \u5de6\u5b50\u7ed3\u70b9\u5f15\u7528\nself.right = right  # \u53f3\u5b50\u7ed3\u70b9\u5f15\u7528\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\ntype TreeNode struct {\nVal    int       // \u7ed3\u70b9\u503c\nHeight int       // \u7ed3\u70b9\u9ad8\u5ea6\nLeft   *TreeNode // \u5de6\u5b50\u7ed3\u70b9\u5f15\u7528\nRight  *TreeNode // \u53f3\u5b50\u7ed3\u70b9\u5f15\u7528\n}\n</code></pre> <pre><code>class TreeNode {\nval; // \u7ed3\u70b9\u503c\nheight; //\u7ed3\u70b9\u9ad8\u5ea6\nleft; // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nright; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nconstructor(val, left, right, height) {\nthis.val = val === undefined ? 0 : val;\nthis.height = height === undefined ? 0 : height;\nthis.left = left === undefined ? null : left;\nthis.right = right === undefined ? null : right;\n}\n}\n</code></pre> <pre><code>class TreeNode {\nval: number;            // \u7ed3\u70b9\u503c\nheight: number;         // \u7ed3\u70b9\u9ad8\u5ea6\nleft: TreeNode | null;  // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nright: TreeNode | null; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nconstructor(val?: number, height?: number, left?: TreeNode | null, right?: TreeNode | null) {\nthis.val = val === undefined ? 0 : val;\nthis.height = height === undefined ? 0 : height; this.left = left === undefined ? null : left; this.right = right === undefined ? null : right; }\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\npublic int val;          // \u7ed3\u70b9\u503c\npublic int height;       // \u7ed3\u70b9\u9ad8\u5ea6\npublic TreeNode? left;   // \u5de6\u5b50\u7ed3\u70b9\npublic TreeNode? right;  // \u53f3\u5b50\u7ed3\u70b9\npublic TreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar height: Int // \u7ed3\u70b9\u9ad8\u5ea6\nvar left: TreeNode? // \u5de6\u5b50\u7ed3\u70b9\nvar right: TreeNode? // \u53f3\u5b50\u7ed3\u70b9\ninit(x: Int) {\nval = x\nheight = 0\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u300c\u7ed3\u70b9\u9ad8\u5ea6\u300d\u662f\u6700\u8fdc\u53f6\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u7684\u8ddd\u79bb\uff0c\u5373\u8d70\u8fc7\u7684\u300c\u8fb9\u300d\u7684\u6570\u91cf\u3002\u9700\u8981\u7279\u522b\u6ce8\u610f\uff0c\u53f6\u7ed3\u70b9\u7684\u9ad8\u5ea6\u4e3a 0 \uff0c\u7a7a\u7ed3\u70b9\u7684\u9ad8\u5ea6\u4e3a -1\u3002\u6211\u4eec\u5c01\u88c5\u4e24\u4e2a\u5de5\u5177\u51fd\u6570\uff0c\u5206\u522b\u7528\u4e8e\u83b7\u53d6\u4e0e\u66f4\u65b0\u7ed3\u70b9\u7684\u9ad8\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(height(node.left), height(node.right)) + 1;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode* node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == nullptr ? -1 : node-&gt;height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode* node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode-&gt;height = max(height(node-&gt;left), height(node-&gt;right)) + 1;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 \"\"\"\ndef height(self, node: Optional[TreeNode]) -&gt; int:\n# \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nif node is not None:\nreturn node.height\nreturn -1\n\"\"\" \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 \"\"\"\ndef __update_height(self, node: Optional[TreeNode]):\n# \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = max([self.height(node.left), self.height(node.right)]) + 1\n</code></pre> avl_tree.go<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc (t *aVLTree) height(node *TreeNode) int {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nif node != nil {\nreturn node.Height\n}\nreturn -1\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc (t *aVLTree) updateHeight(node *TreeNode) {\nlh := t.height(node.Left)\nrh := t.height(node.Right)\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nif lh &gt; rh {\nnode.Height = lh + 1\n} else {\nnode.Height = rh + 1\n}\n}\n</code></pre> avl_tree.js<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nheight(node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node === null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nupdateHeight(node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(this.height(node.left), this.height(node.right)) + 1;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nheight(node: TreeNode): number {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node === null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nupdateHeight(node: TreeNode): void {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(this.height(node.left), this.height(node.right)) + 1;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{height}\n[class]{aVLTree}-[func]{updateHeight}\n</code></pre> avl_tree.cs<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode? node)\n{\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode node)\n{\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.Max(height(node.left), height(node.right)) + 1;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc height(node: TreeNode?) -&gt; Int {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nnode == nil ? -1 : node!.height\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc updateHeight(node: TreeNode?) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode?.height = max(height(node: node?.left), height(node: node?.right)) + 1\n}\n</code></pre> avl_tree.zig<pre><code>// \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6\nfn height(self: *Self, node: ?*inc.TreeNode(T)) i32 {\n_ = self;\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn if (node == null) -1 else node.?.height;\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nfn updateHeight(self: *Self, node: ?*inc.TreeNode(T)) void {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.?.height = std.math.max(self.height(node.?.left), self.height(node.?.right)) + 1;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_2","title":"\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50","text":"<p>\u7ed3\u70b9\u7684\u300c\u5e73\u8861\u56e0\u5b50 Balance Factor\u300d\u662f \u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u9ad8\u5ea6\u51cf\u53bb\u53f3\u5b50\u6811\u9ad8\u5ea6\uff0c\u5e76\u5b9a\u4e49\u7a7a\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u4e3a 0 \u3002\u540c\u6837\u5730\uff0c\u6211\u4eec\u5c06\u83b7\u53d6\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u5c01\u88c5\u6210\u51fd\u6570\uff0c\u4ee5\u4fbf\u540e\u7eed\u4f7f\u7528\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node.left) - height(node.right);\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode* node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == nullptr) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node-&gt;left) - height(node-&gt;right);\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 \"\"\"\ndef balance_factor(self, node: Optional[TreeNode]) -&gt; int:\n# \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif node is None:\nreturn 0\n# \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn self.height(node.left) - self.height(node.right)\n</code></pre> avl_tree.go<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nfunc (t *aVLTree) balanceFactor(node *TreeNode) int {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif node == nil {\nreturn 0\n}\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn t.height(node.Left) - t.height(node.Right)\n}\n</code></pre> avl_tree.js<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nbalanceFactor(node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node === null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn this.height(node.left) - this.height(node.right);\n}\n</code></pre> avl_tree.ts<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nbalanceFactor(node: TreeNode): number {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node === null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn this.height(node.left) - this.height(node.right);\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{balanceFactor}\n</code></pre> avl_tree.cs<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode? node)\n{\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node.left) - height(node.right);\n}\n</code></pre> avl_tree.swift<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nfunc balanceFactor(node: TreeNode?) -&gt; Int {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nguard let node = node else { return 0 }\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node: node.left) - height(node: node.right)\n}\n</code></pre> avl_tree.zig<pre><code>// \u83b7\u53d6\u5e73\u8861\u56e0\u5b50\nfn balanceFactor(self: *Self, node: ?*inc.TreeNode(T)) i32 {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn self.height(node.?.left) - self.height(node.?.right);\n}\n</code></pre> <p>Note</p> <p>\u8bbe\u5e73\u8861\u56e0\u5b50\u4e3a \\(f\\) \uff0c\u5219\u4e00\u68f5 AVL \u6811\u7684\u4efb\u610f\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u7686\u6ee1\u8db3 \\(-1 \\le f \\le 1\\) \u3002</p>"},{"location":"chapter_tree/avl_tree/#742-avl","title":"7.4.2. AVL \u6811\u65cb\u8f6c","text":"<p>AVL \u6811\u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e\u300c\u65cb\u8f6c Rotation\u300d\u7684\u64cd\u4f5c\uff0c\u5176\u53ef \u5728\u4e0d\u5f71\u54cd\u4e8c\u53c9\u6811\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u524d\u63d0\u4e0b\uff0c\u4f7f\u5931\u8861\u7ed3\u70b9\u91cd\u65b0\u6062\u590d\u5e73\u8861\u3002\u6362\u8a00\u4e4b\uff0c\u65cb\u8f6c\u64cd\u4f5c\u65e2\u53ef\u4ee5\u4f7f\u6811\u4fdd\u6301\u4e3a\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u6811\u91cd\u65b0\u6062\u590d\u4e3a\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\u3002</p> <p>\u6211\u4eec\u5c06\u5e73\u8861\u56e0\u5b50\u7684\u7edd\u5bf9\u503c \\(&gt; 1\\) \u7684\u7ed3\u70b9\u79f0\u4e3a\u300c\u5931\u8861\u7ed3\u70b9\u300d\u3002\u6839\u636e\u7ed3\u70b9\u7684\u5931\u8861\u60c5\u51b5\uff0c\u65cb\u8f6c\u64cd\u4f5c\u5206\u4e3a \u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u3001\u5148\u5de6\u65cb\u540e\u53f3\u65cb\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u6765\u4e00\u8d77\u6765\u770b\u770b\u5b83\u4eec\u662f\u5982\u4f55\u64cd\u4f5c\u7684\u3002</p>"},{"location":"chapter_tree/avl_tree/#case-1-","title":"Case 1 - \u53f3\u65cb","text":"<p>\u5982\u4e0b\u56fe\u6240\u793a\uff08\u7ed3\u70b9\u4e0b\u65b9\u4e3a\u300c\u5e73\u8861\u56e0\u5b50\u300d\uff09\uff0c\u4ece\u5e95\u81f3\u9876\u770b\uff0c\u4e8c\u53c9\u6811\u4e2d\u9996\u4e2a\u5931\u8861\u7ed3\u70b9\u662f \u7ed3\u70b9 3\u3002\u6211\u4eec\u805a\u7126\u5728\u4ee5\u8be5\u5931\u8861\u7ed3\u70b9\u4e3a\u6839\u7ed3\u70b9\u7684\u5b50\u6811\u4e0a\uff0c\u5c06\u8be5\u7ed3\u70b9\u8bb0\u4e3a <code>node</code> \uff0c\u5c06\u5176\u5de6\u5b50\u7ed3\u70b9\u8bb0\u4e3a <code>child</code> \uff0c\u6267\u884c\u300c\u53f3\u65cb\u300d\u64cd\u4f5c\u3002\u5b8c\u6210\u53f3\u65cb\u540e\uff0c\u8be5\u5b50\u6811\u5df2\u7ecf\u6062\u590d\u5e73\u8861\uff0c\u5e76\u4e14\u4ecd\u7136\u4e3a\u4e8c\u53c9\u641c\u7d22\u6811\u3002</p> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u8fdb\u800c\uff0c\u5982\u679c\u7ed3\u70b9 <code>child</code> \u672c\u8eab\u6709\u53f3\u5b50\u7ed3\u70b9\uff08\u8bb0\u4e3a <code>grandChild</code> \uff09\uff0c\u5219\u9700\u8981\u5728\u300c\u53f3\u65cb\u300d\u4e2d\u6dfb\u52a0\u4e00\u6b65\uff1a\u5c06 <code>grandChild</code> \u4f5c\u4e3a <code>node</code> \u7684\u5de6\u5b50\u7ed3\u70b9\u3002</p> <p></p> <p>\u201c\u5411\u53f3\u65cb\u8f6c\u201d\u662f\u4e00\u79cd\u5f62\u8c61\u5316\u7684\u8bf4\u6cd5\uff0c\u5b9e\u9645\u9700\u8981\u901a\u8fc7\u4fee\u6539\u7ed3\u70b9\u6307\u9488\u5b9e\u73b0\uff0c\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode rightRotate(TreeNode node) {\nTreeNode child = node.left;\nTreeNode grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode* rightRotate(TreeNode* node) {\nTreeNode* child = node-&gt;left;\nTreeNode* grandChild = child-&gt;right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild-&gt;right = node;\nnode-&gt;left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u53f3\u65cb\u64cd\u4f5c \"\"\"\ndef __right_rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\nchild = node.left\ngrand_child = child.right\n# \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node\nnode.left = grand_child\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\nself.__update_height(child)\n# \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n</code></pre> avl_tree.go<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nfunc (t *aVLTree) rightRotate(node *TreeNode) *TreeNode {\nchild := node.Left\ngrandChild := child.Right\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.Right = node\nnode.Left = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\nt.updateHeight(child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.js<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nrightRotate(node) {\nconst child = node.left;\nconst grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nrightRotate(node: TreeNode): TreeNode {\nconst child = node.left;\nconst grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{rightRotate}\n</code></pre> avl_tree.cs<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode? rightRotate(TreeNode? node)\n{\nTreeNode? child = node.left;\nTreeNode? grandChild = child?.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nfunc rightRotate(node: TreeNode?) -&gt; TreeNode? {\nlet child = node?.left\nlet grandChild = child?.right\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild?.right = node\nnode?.left = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node: node)\nupdateHeight(node: child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.zig<pre><code>// \u53f3\u65cb\u64cd\u4f5c\nfn rightRotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\nvar child = node.?.left;\nvar grandChild = child.?.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.?.right = node;\nnode.?.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.updateHeight(node);\nself.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#case-2-","title":"Case 2 - \u5de6\u65cb","text":"<p>\u7c7b\u4f3c\u5730\uff0c\u5982\u679c\u5c06\u53d6\u4e0a\u8ff0\u5931\u8861\u4e8c\u53c9\u6811\u7684\u201c\u955c\u50cf\u201d\uff0c\u90a3\u4e48\u5219\u9700\u8981\u300c\u5de6\u65cb\u300d\u64cd\u4f5c\u3002</p> <p></p> <p>\u540c\u7406\uff0c\u82e5\u7ed3\u70b9 <code>child</code> \u672c\u8eab\u6709\u5de6\u5b50\u7ed3\u70b9\uff08\u8bb0\u4e3a <code>grandChild</code> \uff09\uff0c\u5219\u9700\u8981\u5728\u300c\u5de6\u65cb\u300d\u4e2d\u6dfb\u52a0\u4e00\u6b65\uff1a\u5c06 <code>grandChild</code> \u4f5c\u4e3a <code>node</code> \u7684\u53f3\u5b50\u7ed3\u70b9\u3002</p> <p></p> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u300c\u5de6\u65cb\u300d\u548c\u300c\u53f3\u65cb\u300d\u64cd\u4f5c\u662f\u955c\u50cf\u5bf9\u79f0\u7684\uff0c\u4e24\u8005\u5bf9\u5e94\u89e3\u51b3\u7684\u4e24\u79cd\u5931\u8861\u60c5\u51b5\u4e5f\u662f\u5bf9\u79f0\u7684\u3002\u6839\u636e\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u65b9\u4fbf\u5730\u4ece\u300c\u53f3\u65cb\u300d\u63a8\u5bfc\u51fa\u300c\u5de6\u65cb\u300d\u3002\u5177\u4f53\u5730\uff0c\u53ea\u9700\u5c06\u300c\u53f3\u65cb\u300d\u4ee3\u7801\u4e2d\u7684\u628a\u6240\u6709\u7684 <code>left</code> \u66ff\u6362\u4e3a <code>right</code> \u3001\u6240\u6709\u7684 <code>right</code> \u66ff\u6362\u4e3a <code>left</code> \uff0c\u5373\u53ef\u5f97\u5230\u300c\u5de6\u65cb\u300d\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode leftRotate(TreeNode node) {\nTreeNode child = node.right;\nTreeNode grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode* leftRotate(TreeNode* node) {\nTreeNode* child = node-&gt;right;\nTreeNode* grandChild = child-&gt;left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild-&gt;left = node;\nnode-&gt;right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u5de6\u65cb\u64cd\u4f5c \"\"\"\ndef __left_rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\nchild = node.right\ngrand_child = child.left\n# \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node\nnode.right = grand_child\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\nself.__update_height(child)\n# \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n</code></pre> avl_tree.go<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nfunc (t *aVLTree) leftRotate(node *TreeNode) *TreeNode {\nchild := node.Right\ngrandChild := child.Left\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.Left = node\nnode.Right = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\nt.updateHeight(child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.js<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nleftRotate(node) {\nconst child = node.right;\nconst grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nleftRotate(node: TreeNode): TreeNode {\nconst child = node.right;\nconst grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{leftRotate}\n</code></pre> avl_tree.cs<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode? leftRotate(TreeNode? node)\n{\nTreeNode? child = node.right;\nTreeNode? grandChild = child?.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nfunc leftRotate(node: TreeNode?) -&gt; TreeNode? {\nlet child = node?.right\nlet grandChild = child?.left\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild?.left = node\nnode?.right = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node: node)\nupdateHeight(node: child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.zig<pre><code>// \u5de6\u65cb\u64cd\u4f5c\nfn leftRotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\nvar child = node.?.right;\nvar grandChild = child.?.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.?.left = node;\nnode.?.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.updateHeight(node);\nself.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#case-3-","title":"Case 3 - \u5148\u5de6\u540e\u53f3","text":"<p>\u5bf9\u4e8e\u4e0b\u56fe\u7684\u5931\u8861\u7ed3\u70b9 3 \uff0c\u5355\u4e00\u4f7f\u7528\u5de6\u65cb\u6216\u53f3\u65cb\u90fd\u65e0\u6cd5\u4f7f\u5b50\u6811\u6062\u590d\u5e73\u8861\uff0c\u6b64\u65f6\u9700\u8981\u300c\u5148\u5de6\u65cb\u540e\u53f3\u65cb\u300d\uff0c\u5373\u5148\u5bf9 <code>child</code> \u6267\u884c\u300c\u5de6\u65cb\u300d\uff0c\u518d\u5bf9 <code>node</code> \u6267\u884c\u300c\u53f3\u65cb\u300d\u3002</p> <p></p>"},{"location":"chapter_tree/avl_tree/#case-4-","title":"Case 4 - \u5148\u53f3\u540e\u5de6","text":"<p>\u540c\u7406\uff0c\u53d6\u4ee5\u4e0a\u5931\u8861\u4e8c\u53c9\u6811\u7684\u955c\u50cf\uff0c\u5219\u9700\u8981\u300c\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u300d\uff0c\u5373\u5148\u5bf9 <code>child</code> \u6267\u884c\u300c\u53f3\u65cb\u300d\uff0c\u7136\u540e\u5bf9 <code>node</code> \u6267\u884c\u300c\u5de6\u65cb\u300d\u3002</p> <p></p>"},{"location":"chapter_tree/avl_tree/#_3","title":"\u65cb\u8f6c\u7684\u9009\u62e9","text":"<p>\u4e0b\u56fe\u63cf\u8ff0\u7684\u56db\u79cd\u5931\u8861\u60c5\u51b5\u4e0e\u4e0a\u8ff0 Cases \u9010\u4e2a\u5bf9\u5e94\uff0c\u5206\u522b\u9700\u91c7\u7528 \u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u540e\u5de6\u3001\u5148\u5de6\u540e\u53f3 \u7684\u65cb\u8f6c\u64cd\u4f5c\u3002</p> <p></p> <p>\u5177\u4f53\u5730\uff0c\u5728\u4ee3\u7801\u4e2d\u4f7f\u7528 \u5931\u8861\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u3001\u8f83\u9ad8\u4e00\u4fa7\u5b50\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u6765\u786e\u5b9a\u5931\u8861\u7ed3\u70b9\u5c5e\u4e8e\u4e0a\u56fe\u4e2d\u7684\u54ea\u79cd\u60c5\u51b5\u3002</p> \u5931\u8861\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u5b50\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u5e94\u91c7\u7528\u7684\u65cb\u8f6c\u65b9\u6cd5 \\(&gt;0\\) \uff08\u5373\u5de6\u504f\u6811\uff09 \\(\\geq 0\\) \u53f3\u65cb \\(&gt;0\\) \uff08\u5373\u5de6\u504f\u6811\uff09 \\(&lt;0\\) \u5148\u5de6\u65cb\u540e\u53f3\u65cb \\(&lt;0\\) \uff08\u5373\u53f3\u504f\u6811\uff09 \\(\\leq 0\\) \u5de6\u65cb \\(&lt;0\\) \uff08\u5373\u53f3\u504f\u6811\uff09 \\(&gt;0\\) \u5148\u53f3\u65cb\u540e\u5de6\u65cb <p>\u4e3a\u65b9\u4fbf\u4f7f\u7528\uff0c\u6211\u4eec\u5c06\u65cb\u8f6c\u64cd\u4f5c\u5c01\u88c5\u6210\u4e00\u4e2a\u51fd\u6570\u3002\u81f3\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6b64\u51fd\u6570\u6765\u65cb\u8f6c\u5404\u79cd\u5931\u8861\u60c5\u51b5\uff0c\u4f7f\u5931\u8861\u7ed3\u70b9\u91cd\u65b0\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode rotate(TreeNode node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint balanceFactor = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = leftRotate(node.left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = rightRotate(node.right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode* rotate(TreeNode* node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint _balanceFactor = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (_balanceFactor &gt; 1) {\nif (balanceFactor(node-&gt;left) &gt;= 0) {\n// \u53f3\u65cb\nreturn rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode-&gt;left = leftRotate(node-&gt;left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (_balanceFactor &lt; -1) {\nif (balanceFactor(node-&gt;right) &lt;= 0) {\n// \u5de6\u65cb\nreturn leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode-&gt;right = rightRotate(node-&gt;right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 \"\"\"\ndef __rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\n# \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nbalance_factor = self.balance_factor(node)\n# \u5de6\u504f\u6811\nif balance_factor &gt; 1:\nif self.balance_factor(node.left) &gt;= 0:\n# \u53f3\u65cb\nreturn self.__right_rotate(node)\nelse:\n# \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = self.__left_rotate(node.left)\nreturn self.__right_rotate(node)\n# \u53f3\u504f\u6811\nelif balance_factor &lt; -1:\nif self.balance_factor(node.right) &lt;= 0:\n# \u5de6\u65cb\nreturn self.__left_rotate(node)\nelse:\n# \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = self.__right_rotate(node.right)\nreturn self.__left_rotate(node)\n# \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n</code></pre> avl_tree.go<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nfunc (t *aVLTree) rotate(node *TreeNode) *TreeNode {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\n// Go \u63a8\u8350\u77ed\u53d8\u91cf\uff0c\u8fd9\u91cc bf \u6307\u4ee3 t.balanceFactor\nbf := t.balanceFactor(node)\n// \u5de6\u504f\u6811\nif bf &gt; 1 {\nif t.balanceFactor(node.Left) &gt;= 0 {\n// \u53f3\u65cb\nreturn t.rightRotate(node)\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.Left = t.leftRotate(node.Left)\nreturn t.rightRotate(node)\n}\n}\n// \u53f3\u504f\u6811\nif bf &lt; -1 {\nif t.balanceFactor(node.Right) &lt;= 0 {\n// \u5de6\u65cb\nreturn t.leftRotate(node)\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.Right = t.rightRotate(node.Right)\nreturn t.leftRotate(node)\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nrotate(node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nconst balanceFactor = this.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (this.balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn this.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = this.leftRotate(node.left);\nreturn this.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (this.balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn this.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = this.rightRotate(node.right);\nreturn this.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nrotate(node: TreeNode): TreeNode {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nconst balanceFactor = this.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (this.balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn this.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = this.leftRotate(node.left);\nreturn this.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (this.balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn this.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = this.rightRotate(node.right);\nreturn this.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{rotate}\n</code></pre> avl_tree.cs<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode? rotate(TreeNode? node)\n{\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint balanceFactorInt = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactorInt &gt; 1)\n{\nif (balanceFactor(node.left) &gt;= 0)\n{\n// \u53f3\u65cb\nreturn rightRotate(node);\n}\nelse\n{\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = leftRotate(node?.left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactorInt &lt; -1)\n{\nif (balanceFactor(node.right) &lt;= 0)\n{\n// \u5de6\u65cb\nreturn leftRotate(node);\n}\nelse\n{\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = rightRotate(node?.right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nfunc rotate(node: TreeNode?) -&gt; TreeNode? {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nlet balanceFactor = balanceFactor(node: node)\n// \u5de6\u504f\u6811\nif balanceFactor &gt; 1 {\nif self.balanceFactor(node: node?.left) &gt;= 0 {\n// \u53f3\u65cb\nreturn rightRotate(node: node)\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode?.left = leftRotate(node: node?.left)\nreturn rightRotate(node: node)\n}\n}\n// \u53f3\u504f\u6811\nif balanceFactor &lt; -1 {\nif self.balanceFactor(node: node?.right) &lt;= 0 {\n// \u5de6\u65cb\nreturn leftRotate(node: node)\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode?.right = rightRotate(node: node?.right)\nreturn leftRotate(node: node)\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nfn rotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nvar balance_factor = self.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balance_factor &gt; 1) {\nif (self.balanceFactor(node.?.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn self.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.?.left = self.leftRotate(node.?.left);\nreturn self.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balance_factor &lt; -1) {\nif (self.balanceFactor(node.?.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn self.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.?.right = self.rightRotate(node.?.right);\nreturn self.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#743-avl","title":"7.4.3. AVL \u6811\u5e38\u7528\u64cd\u4f5c","text":""},{"location":"chapter_tree/avl_tree/#_4","title":"\u63d2\u5165\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u7684\u7ed3\u70b9\u63d2\u5165\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u4e3b\u4f53\u7c7b\u4f3c\u3002\u4e0d\u540c\u7684\u662f\uff0c\u5728\u63d2\u5165\u7ed3\u70b9\u540e\uff0c\u4ece\u8be5\u7ed3\u70b9\u5230\u6839\u7ed3\u70b9\u7684\u8def\u5f84\u4e0a\u4f1a\u51fa\u73b0\u4e00\u7cfb\u5217\u300c\u5931\u8861\u7ed3\u70b9\u300d\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u9700\u8981\u4ece\u8be5\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6240\u6709\u5931\u8861\u7ed3\u70b9\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode insert(int val) {\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode insertHelper(TreeNode node, int val) {\nif (node == null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val)\nnode.left = insertHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = insertHelper(node.right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode* insert(int val) {\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode* insertHelper(TreeNode* node, int val) {\nif (node == nullptr) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node-&gt;val)\nnode-&gt;left = insertHelper(node-&gt;left, val);\nelse if (val &gt; node-&gt;val)\nnode-&gt;right = insertHelper(node-&gt;right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u63d2\u5165\u7ed3\u70b9 \"\"\"\ndef insert(self, val) -&gt; TreeNode:\nself.root = self.__insert_helper(self.root, val)\nreturn self.root\n\"\"\" \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\"\"\"\ndef __insert_helper(self, node: Optional[TreeNode], val: int) -&gt; TreeNode:\nif node is None:\nreturn TreeNode(val)\n# 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9\nif val &lt; node.val:\nnode.left = self.__insert_helper(node.left, val)\nelif val &gt; node.val:\nnode.right = self.__insert_helper(node.right, val)\nelse:\n# \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\n# 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nreturn self.__rotate(node)\n</code></pre> avl_tree.go<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc (t *aVLTree) insert(val int) *TreeNode {\nt.root = t.insertHelper(t.root, val)\nreturn t.root\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc (t *aVLTree) insertHelper(node *TreeNode, val int) *TreeNode {\nif node == nil {\nreturn NewTreeNode(val)\n}\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif val &lt; node.Val {\nnode.Left = t.insertHelper(node.Left, val)\n} else if val &gt; node.Val {\nnode.Right = t.insertHelper(node.Right, val)\n} else {\n// \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = t.rotate(node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\ninsert(val) {\nthis.root = this.insertHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\ninsertHelper(node, val) {\nif (node === null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val) node.left = this.insertHelper(node.left, val);\nelse if (val &gt; node.val) node.right = this.insertHelper(node.right, val);\nelse return node; // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\ninsert(val: number): TreeNode {\nthis.root = this.insertHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\ninsertHelper(node: TreeNode, val: number): TreeNode {\nif (node === null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val) {\nnode.left = this.insertHelper(node.left, val);\n} else if (val &gt; node.val) {\nnode.right = this.insertHelper(node.right, val);\n} else {\nreturn node; // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{insert}\n[class]{aVLTree}-[func]{insertHelper}\n</code></pre> avl_tree.cs<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode? insert(int val)\n{\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode? insertHelper(TreeNode? node, int val)\n{\nif (node == null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val)\nnode.left = insertHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = insertHelper(node.right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\n@discardableResult\nfunc insert(val: Int) -&gt; TreeNode? {\nroot = insertHelper(node: root, val: val)\nreturn root\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc insertHelper(node: TreeNode?, val: Int) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn TreeNode(x: val)\n}\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif val &lt; node!.val {\nnode?.left = insertHelper(node: node?.left, val: val)\n} else if val &gt; node!.val {\nnode?.right = insertHelper(node: node?.right, val: val)\n} else {\nreturn node // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nupdateHeight(node: node) // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node: node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u63d2\u5165\u7ed3\u70b9\nfn insert(self: *Self, val: T) !?*inc.TreeNode(T) {\nself.root = try self.insertHelper(self.root, val);\nreturn self.root;\n}\n// \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\nfn insertHelper(self: *Self, node_: ?*inc.TreeNode(T), val: T) !?*inc.TreeNode(T) {\nvar node = node_;\nif (node == null) {\nvar tmp_node = try self.mem_allocator.create(inc.TreeNode(T));\ntmp_node.init(val);\nreturn tmp_node;\n}\n// 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9\nif (val &lt; node.?.val) {\nnode.?.left = try self.insertHelper(node.?.left, val);\n} else if (val &gt; node.?.val) {\nnode.?.right = try self.insertHelper(node.?.right, val);\n} else {\nreturn node;            // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nself.updateHeight(node);    // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n// 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nnode = self.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_5","title":"\u5220\u9664\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u603b\u4f53\u76f8\u540c\u3002\u7c7b\u4f3c\u5730\uff0c\u5728\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u4e5f\u9700\u8981\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6240\u6709\u5931\u8861\u7ed3\u70b9\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode remove(int val) {\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode removeHelper(TreeNode node, int val) {\nif (node == null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val)\nnode.left = removeHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = removeHelper(node.right, val);\nelse {\nif (node.left == null || node.right == null) {\nTreeNode child = node.left != null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null)\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse\nnode = child;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode temp = getInOrderNext(node.right);\nnode.right = removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode getInOrderNext(TreeNode node) {\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left != null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode* remove(int val) {\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode* removeHelper(TreeNode* node, int val) {\nif (node == nullptr) return nullptr;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node-&gt;val)\nnode-&gt;left = removeHelper(node-&gt;left, val);\nelse if (val &gt; node-&gt;val)\nnode-&gt;right = removeHelper(node-&gt;right, val);\nelse {\nif (node-&gt;left == nullptr || node-&gt;right == nullptr) {\nTreeNode* child = node-&gt;left != nullptr ? node-&gt;left : node-&gt;right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == nullptr) {\ndelete node;\nreturn nullptr;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse {\ndelete node;\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode* temp = getInOrderNext(node-&gt;right);\nnode-&gt;right = removeHelper(node-&gt;right, temp-&gt;val);\nnode-&gt;val = temp-&gt;val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode* getInOrderNext(TreeNode* node) {\nif (node == nullptr) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node-&gt;left != nullptr) {\nnode = node-&gt;left;\n}\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u5220\u9664\u7ed3\u70b9 \"\"\"\ndef remove(self, val: int):\nroot = self.__remove_helper(self.root, val)\nreturn root\n\"\"\" \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 \"\"\"\ndef __remove_helper(self, node: Optional[TreeNode], val: int) -&gt; Optional[TreeNode]:\nif node is None:\nreturn None\n# 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b\nif val &lt; node.val:\nnode.left = self.__remove_helper(node.left, val)\nelif val &gt; node.val:\nnode.right = self.__remove_helper(node.right, val)\nelse:\nif node.left is None or node.right is None:\nchild = node.left or node.right\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child is None:\nreturn None\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse:\nnode = child\nelse:  # \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\ntemp = self.__get_inorder_next(node.right)\nnode.right = self.__remove_helper(node.right, temp.val)\nnode.val = temp.val\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\n# 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nreturn self.__rotate(node)\n\"\"\" \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 \"\"\"\ndef __get_inorder_next(self, node: Optional[TreeNode]) -&gt; Optional[TreeNode]:\nif node is None:\nreturn None\n# \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile node.left is not None:\nnode = node.left\nreturn node\n</code></pre> avl_tree.go<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunc (t *aVLTree) remove(val int) *TreeNode {\nroot := t.removeHelper(t.root, val)\nreturn root\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc (t *aVLTree) removeHelper(node *TreeNode, val int) *TreeNode {\nif node == nil {\nreturn nil\n}\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif val &lt; node.Val {\nnode.Left = t.removeHelper(node.Left, val)\n} else if val &gt; node.Val {\nnode.Right = t.removeHelper(node.Right, val)\n} else {\nif node.Left == nil || node.Right == nil {\nchild := node.Left\nif node.Right != nil {\nchild = node.Right\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child == nil {\nreturn nil\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nnode = child\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\ntemp := t.getInOrderNext(node.Right)\nnode.Right = t.removeHelper(node.Right, temp.Val)\nnode.Val = temp.Val\n}\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = t.rotate(node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc (t *aVLTree) getInOrderNext(node *TreeNode) *TreeNode {\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nfor node.Left != nil {\nnode = node.Left\n}\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nremove(val) {\nthis.root = this.removeHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nremoveHelper(node, val) {\nif (node === null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val) node.left = this.removeHelper(node.left, val);\nelse if (val &gt; node.val) node.right = this.removeHelper(node.right, val);\nelse {\nif (node.left === null || node.right === null) {\nconst child = node.left !== null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child === null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse node = child;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nconst temp = this.getInOrderNext(node.right);\nnode.right = this.removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\ngetInOrderNext(node) {\nif (node === null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left !== null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nremove(val: number): TreeNode {\nthis.root = this.removeHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nremoveHelper(node: TreeNode, val: number): TreeNode {\nif (node === null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val) {\nnode.left = this.removeHelper(node.left, val);\n} else if (val &gt; node.val) {\nnode.right = this.removeHelper(node.right, val);\n} else {\nif (node.left === null || node.right === null) {\nconst child = node.left !== null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child === null) {\nreturn null;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nconst temp = this.getInOrderNext(node.right);\nnode.right = this.removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\ngetInOrderNext(node: TreeNode): TreeNode {\nif (node === null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left !== null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{remove}\n[class]{aVLTree}-[func]{removeHelper}\n[class]{aVLTree}-[func]{getInOrderNext}\n</code></pre> avl_tree.cs<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode? remove(int val)\n{\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode? removeHelper(TreeNode? node, int val)\n{\nif (node == null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val)\nnode.left = removeHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = removeHelper(node.right, val);\nelse\n{\nif (node.left == null || node.right == null)\n{\nTreeNode? child = node.left != null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null)\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse\nnode = child;\n}\nelse\n{\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode? temp = getInOrderNext(node.right);\nnode.right = removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode? getInOrderNext(TreeNode? node)\n{\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left != null)\n{\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\n@discardableResult\nfunc remove(val: Int) -&gt; TreeNode? {\nroot = removeHelper(node: root, val: val)\nreturn root\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc removeHelper(node: TreeNode?, val: Int) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn nil\n}\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif val &lt; node!.val {\nnode?.left = removeHelper(node: node?.left, val: val)\n} else if val &gt; node!.val {\nnode?.right = removeHelper(node: node?.right, val: val)\n} else {\nif node?.left == nil || node?.right == nil {\nlet child = node?.left != nil ? node?.left : node?.right\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse {\nnode = child\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nlet temp = getInOrderNext(node: node?.right)\nnode?.right = removeHelper(node: node?.right, val: temp!.val)\nnode?.val = temp!.val\n}\n}\nupdateHeight(node: node) // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node: node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc getInOrderNext(node: TreeNode?) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile node?.left != nil {\nnode = node?.left\n}\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u5220\u9664\u7ed3\u70b9\nfn remove(self: *Self, val: T) ?*inc.TreeNode(T) {\nself.root = self.removeHelper(self.root, val);\nreturn self.root;\n}\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\nfn removeHelper(self: *Self, node_: ?*inc.TreeNode(T), val: T) ?*inc.TreeNode(T) {\nvar node = node_;\nif (node == null) return null;\n// 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b\nif (val &lt; node.?.val) {\nnode.?.left = self.removeHelper(node.?.left, val);\n} else if (val &gt; node.?.val) {\nnode.?.right = self.removeHelper(node.?.right, val);\n} else {\nif (node.?.left == null or node.?.right == null) {\nvar child = if (node.?.left != null) node.?.left else node.?.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null) {\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\n} else {\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nvar temp = self.getInOrderNext(node.?.right);\nnode.?.right = self.removeHelper(node.?.right, temp.?.val);\nnode.?.val = temp.?.val;\n}\n}\nself.updateHeight(node);    // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n// 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nnode = self.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09\nfn getInOrderNext(self: *Self, node_: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n_ = self;\nvar node = node_;\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.?.left != null) {\nnode = node.?.left;\n}\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_6","title":"\u67e5\u627e\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u7684\u7ed3\u70b9\u67e5\u627e\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u4e00\u81f4\uff0c\u5728\u6b64\u4e0d\u518d\u8d58\u8ff0\u3002</p>"},{"location":"chapter_tree/avl_tree/#744-avl","title":"7.4.4. AVL \u6811\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u7ec4\u7ec7\u5b58\u50a8\u5927\u578b\u6570\u636e\uff0c\u9002\u7528\u4e8e\u9ad8\u9891\u67e5\u627e\u3001\u4f4e\u9891\u589e\u5220\u573a\u666f\uff1b</li> <li>\u7528\u4e8e\u5efa\u7acb\u6570\u636e\u5e93\u4e2d\u7684\u7d22\u5f15\u7cfb\u7edf\uff1b</li> </ul> <p>\u4e3a\u4ec0\u4e48\u7ea2\u9ed1\u6811\u6bd4 AVL \u6811\u66f4\u53d7\u6b22\u8fce\uff1f</p> <p>\u7ea2\u9ed1\u6811\u7684\u5e73\u8861\u6761\u4ef6\u76f8\u5bf9\u5bbd\u677e\uff0c\u56e0\u6b64\u5728\u7ea2\u9ed1\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u6240\u9700\u7684\u65cb\u8f6c\u64cd\u4f5c\u76f8\u5bf9\u66f4\u5c11\uff0c\u7ed3\u70b9\u589e\u5220\u64cd\u4f5c\u76f8\u6bd4 AVL \u6811\u7684\u6548\u7387\u66f4\u9ad8\u3002</p>"},{"location":"chapter_tree/binary_search_tree/","title":"7.3. \u4e8c\u53c9\u641c\u7d22\u6811","text":"<p>\u300c\u4e8c\u53c9\u641c\u7d22\u6811 Binary Search Tree\u300d\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\uff1a</p> <ol> <li>\u5bf9\u4e8e\u6839\u7ed3\u70b9\uff0c\u5de6\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u503c \\(&lt;\\) \u6839\u7ed3\u70b9\u7684\u503c \\(&lt;\\) \u53f3\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u503c\uff1b</li> <li>\u4efb\u610f\u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u4e5f\u662f\u4e8c\u53c9\u641c\u7d22\u6811\uff0c\u5373\u4e5f\u6ee1\u8db3\u6761\u4ef6 <code>1.</code> \uff1b</li> </ol> <p></p>"},{"location":"chapter_tree/binary_search_tree/#731","title":"7.3.1. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u64cd\u4f5c","text":""},{"location":"chapter_tree/binary_search_tree/#_1","title":"\u67e5\u627e\u7ed3\u70b9","text":"<p>\u7ed9\u5b9a\u76ee\u6807\u7ed3\u70b9\u503c <code>num</code> \uff0c\u53ef\u4ee5\u6839\u636e\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6027\u8d28\u6765\u67e5\u627e\u3002\u6211\u4eec\u58f0\u660e\u4e00\u4e2a\u7ed3\u70b9 <code>cur</code> \uff0c\u4ece\u4e8c\u53c9\u6811\u7684\u6839\u7ed3\u70b9 <code>root</code> \u51fa\u53d1\uff0c\u5faa\u73af\u6bd4\u8f83\u7ed3\u70b9\u503c <code>cur.val</code> \u548c <code>num</code> \u4e4b\u95f4\u7684\u5927\u5c0f\u5173\u7cfb</p> <ul> <li>\u82e5 <code>cur.val &lt; num</code> \uff0c\u8bf4\u660e\u76ee\u6807\u7ed3\u70b9\u5728 <code>cur</code> \u7684\u53f3\u5b50\u6811\u4e2d\uff0c\u56e0\u6b64\u6267\u884c <code>cur = cur.right</code> \uff1b</li> <li>\u82e5 <code>cur.val &gt; num</code> \uff0c\u8bf4\u660e\u76ee\u6807\u7ed3\u70b9\u5728 <code>cur</code> \u7684\u5de6\u5b50\u6811\u4e2d\uff0c\u56e0\u6b64\u6267\u884c <code>cur = cur.left</code> \uff1b</li> <li>\u82e5 <code>cur.val = num</code> \uff0c\u8bf4\u660e\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\u5e76\u8fd4\u56de\u8be5\u7ed3\u70b9\u5373\u53ef\uff1b</li> </ul> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u67e5\u627e\u64cd\u4f5c\u548c\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u5982\u51fa\u4e00\u8f99\uff0c\u4e5f\u662f\u5728\u6bcf\u8f6e\u6392\u9664\u4e00\u534a\u60c5\u51b5\u3002\u5faa\u73af\u6b21\u6570\u6700\u591a\u4e3a\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\uff0c\u5f53\u4e8c\u53c9\u6811\u5e73\u8861\u65f6\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode search(int num) {\nTreeNode cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode* search(int num) {\nTreeNode* cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur-&gt;val &gt; num) cur = cur-&gt;left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u67e5\u627e\u7ed3\u70b9 \"\"\"\ndef search(self, num: int) -&gt; Optional[TreeNode]:\ncur = self.root\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur is not None:\n# \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur.val &lt; num:\ncur = cur.right\n# \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelif cur.val &gt; num:\ncur = cur.left\n# \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse:\nbreak\nreturn cur\n</code></pre> binary_search_tree.go<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) search(num int) *TreeNode {\nnode := bst.root\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor node != nil {\nif node.Val &lt; num {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nnode = node.Right\n} else if node.Val &gt; num {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nnode = node.Left\n} else {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nbreak\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn node\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunction search(num) {\nlet cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunction search(num: number): TreeNode | null {\nlet cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\nif (cur.val &lt; num) {\ncur = cur.right; // \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else if (cur.val &gt; num) {\ncur = cur.left; // \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\nbreak; // \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{search}\n</code></pre> binary_search_tree.cs<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode? search(int num)\n{\nTreeNode? cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunc search(num: Int) -&gt; TreeNode? {\nvar cur = root\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if cur!.val &gt; num {\ncur = cur?.left\n}\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse {\nbreak\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u67e5\u627e\u7ed3\u70b9\nfn search(self: *Self, num: T) ?*inc.TreeNode(T) {\nvar cur = self.root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else if (cur.?.val &gt; num) {\ncur = cur.?.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\n} else {\nbreak;\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre>"},{"location":"chapter_tree/binary_search_tree/#_2","title":"\u63d2\u5165\u7ed3\u70b9","text":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u5f85\u63d2\u5165\u5143\u7d20 <code>num</code> \uff0c\u4e3a\u4e86\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u201c\u5de6\u5b50\u6811 &lt; \u6839\u7ed3\u70b9 &lt; \u53f3\u5b50\u6811\u201d\u7684\u6027\u8d28\uff0c\u63d2\u5165\u64cd\u4f5c\u5206\u4e3a\u4e24\u6b65\uff1a</p> <ol> <li>\u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff1a\u4e0e\u67e5\u627e\u64cd\u4f5c\u7c7b\u4f3c\uff0c\u6211\u4eec\u4ece\u6839\u7ed3\u70b9\u51fa\u53d1\uff0c\u6839\u636e\u5f53\u524d\u7ed3\u70b9\u503c\u548c <code>num</code> \u7684\u5927\u5c0f\u5173\u7cfb\u5faa\u73af\u5411\u4e0b\u641c\u7d22\uff0c\u76f4\u5230\u8d8a\u8fc7\u53f6\u7ed3\u70b9\uff08\u904d\u5386\u5230 \\(\\text{null}\\) \uff09\u65f6\u8df3\u51fa\u5faa\u73af\uff1b</li> <li>\u5728\u8be5\u4f4d\u7f6e\u63d2\u5165\u7ed3\u70b9\uff1a\u521d\u59cb\u5316\u7ed3\u70b9 <code>num</code> \uff0c\u5c06\u8be5\u7ed3\u70b9\u653e\u5230 \\(\\text{null}\\) \u7684\u4f4d\u7f6e \uff1b</li> </ol> <p>\u4e8c\u53c9\u641c\u7d22\u6811\u4e0d\u5141\u8bb8\u5b58\u5728\u91cd\u590d\u7ed3\u70b9\uff0c\u5426\u5219\u5c06\u4f1a\u8fdd\u80cc\u5176\u5b9a\u4e49\u3002\u56e0\u6b64\u82e5\u5f85\u63d2\u5165\u7ed3\u70b9\u5728\u6811\u4e2d\u5df2\u7ecf\u5b58\u5728\uff0c\u5219\u4e0d\u6267\u884c\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\u5373\u53ef\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode insert(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode node = new TreeNode(num);\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode* insert(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == nullptr) return nullptr;\nTreeNode *cur = root, *pre = nullptr;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur-&gt;val == num) return nullptr;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur-&gt;left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode* node = new TreeNode(num);\nif (pre-&gt;val &lt; num) pre-&gt;right = node;\nelse pre-&gt;left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u63d2\u5165\u7ed3\u70b9 \"\"\"\ndef insert(self, num: int) -&gt; Optional[TreeNode]:\nroot = self.root\n# \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root is None:\nreturn None\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\ncur, pre = root, None\nwhile cur is not None:\n# \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif cur.val == num:\nreturn None\npre = cur\n# \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur.val &lt; num:\ncur = cur.right\n# \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse:\ncur = cur.left\n# \u63d2\u5165\u7ed3\u70b9 val\nnode = TreeNode(num)\nif pre.val &lt; num:\npre.right = node\nelse:\npre.left = node\nreturn node\n</code></pre> binary_search_tree.go<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) insert(num int) *TreeNode {\ncur := bst.root\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5f85\u63d2\u5165\u7ed3\u70b9\u4e4b\u524d\u7684\u7ed3\u70b9\u4f4d\u7f6e\nvar pre *TreeNode = nil\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor cur != nil {\nif cur.Val == num {\nreturn nil\n}\npre = cur\nif cur.Val &lt; num {\ncur = cur.Right\n} else {\ncur = cur.Left\n}\n}\n// \u63d2\u5165\u7ed3\u70b9\nnode := NewTreeNode(num)\nif pre.Val &lt; num {\npre.Right = node\n} else {\npre.Left = node\n}\nreturn cur\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunction insert(num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) return null;\nlet cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val === num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = new Tree.TreeNode(num);\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunction insert(num: number): TreeNode | null {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) {\nreturn null;\n}\nlet cur = root,\npre: TreeNode | null = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\nif (cur.val === num) {\nreturn null; // \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\n}\npre = cur;\nif (cur.val &lt; num) {\ncur = cur.right as TreeNode; // \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else {\ncur = cur.left as TreeNode; // \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = new TreeNode(num);\nif (pre!.val &lt; num) {\npre!.right = node;\n} else {\npre!.left = node;\n}\nreturn node;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{insert}\n</code></pre> binary_search_tree.cs<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode? insert(int num)\n{\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode? cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode node = new TreeNode(num);\nif (pre != null)\n{\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\n}\nreturn node;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc insert(num: Int) -&gt; TreeNode? {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root == nil {\nreturn nil\n}\nvar cur = root\nvar pre: TreeNode?\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif cur!.val == num {\nreturn nil\n}\npre = cur\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse {\ncur = cur?.left\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = TreeNode(x: num)\nif pre!.val &lt; num {\npre?.right = node\n} else {\npre?.left = node\n}\nreturn node\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u63d2\u5165\u7ed3\u70b9\nfn insert(self: *Self, num: T) !?*inc.TreeNode(T) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (self.root == null) return null;\nvar cur = self.root;\nvar pre: ?*inc.TreeNode(T) = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.?.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\ncur = cur.?.left;\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nvar node = try self.mem_allocator.create(inc.TreeNode(T));\nnode.init(num);\nif (pre.?.val &lt; num) {\npre.?.right = node;\n} else {\npre.?.left = node;\n}\nreturn node;\n}\n</code></pre> <p>\u4e3a\u4e86\u63d2\u5165\u7ed3\u70b9\uff0c\u9700\u8981\u501f\u52a9 \u8f85\u52a9\u7ed3\u70b9 <code>pre</code> \u4fdd\u5b58\u4e0a\u4e00\u8f6e\u5faa\u73af\u7684\u7ed3\u70b9\uff0c\u8fd9\u6837\u5728\u904d\u5386\u5230 \\(\\text{null}\\) \u65f6\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u83b7\u53d6\u5230\u5176\u7236\u7ed3\u70b9\uff0c\u4ece\u800c\u5b8c\u6210\u7ed3\u70b9\u63d2\u5165\u64cd\u4f5c\u3002</p> <p>\u4e0e\u67e5\u627e\u7ed3\u70b9\u76f8\u540c\uff0c\u63d2\u5165\u7ed3\u70b9\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p>"},{"location":"chapter_tree/binary_search_tree/#_3","title":"\u5220\u9664\u7ed3\u70b9","text":"<p>\u4e0e\u63d2\u5165\u7ed3\u70b9\u4e00\u6837\uff0c\u6211\u4eec\u9700\u8981\u5728\u5220\u9664\u64cd\u4f5c\u540e\u7ef4\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u201c\u5de6\u5b50\u6811 &lt; \u6839\u7ed3\u70b9 &lt; \u53f3\u5b50\u6811\u201d\u7684\u6027\u8d28\u3002\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u5728\u4e8c\u53c9\u6811\u4e2d\u6267\u884c\u67e5\u627e\u64cd\u4f5c\uff0c\u83b7\u53d6\u5f85\u5220\u9664\u7ed3\u70b9\u3002\u63a5\u4e0b\u6765\uff0c\u6839\u636e\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf\uff0c\u5220\u9664\u64cd\u4f5c\u9700\u8981\u5206\u4e3a\u4e09\u79cd\u60c5\u51b5\uff1a</p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 0\\) \u65f6\uff0c\u8868\u660e\u5f85\u5220\u9664\u7ed3\u70b9\u662f\u53f6\u7ed3\u70b9\uff0c\u76f4\u63a5\u5220\u9664\u5373\u53ef\u3002</p> <p></p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 1\\) \u65f6\uff0c\u5c06\u5f85\u5220\u9664\u7ed3\u70b9\u66ff\u6362\u4e3a\u5176\u5b50\u7ed3\u70b9\u5373\u53ef\u3002</p> <p></p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 2\\) \u65f6\uff0c\u5220\u9664\u64cd\u4f5c\u5206\u4e3a\u4e09\u6b65\uff1a</p> <ol> <li>\u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\u5728 \u4e2d\u5e8f\u904d\u5386\u5e8f\u5217 \u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff0c\u8bb0\u4e3a <code>nex</code> \uff1b</li> <li>\u5728\u6811\u4e2d\u9012\u5f52\u5220\u9664\u7ed3\u70b9 <code>nex</code> \uff1b</li> <li>\u4f7f\u7528 <code>nex</code> \u66ff\u6362\u5f85\u5220\u9664\u7ed3\u70b9\uff1b</li> </ol> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u4e5f\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d\u67e5\u627e\u5f85\u5220\u9664\u7ed3\u70b9 \\(O(\\log n)\\) \uff0c\u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u540e\u7ee7\u7ed3\u70b9 \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode remove(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left == null || cur.right == null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nTreeNode child = cur.left != null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left == cur) pre.left = child;\nelse pre.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode nex = getInOrderNext(cur.right);\nint tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode getInOrderNext(TreeNode root) {\nif (root == null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left != null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode* remove(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == nullptr) return nullptr;\nTreeNode *cur = root, *pre = nullptr;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur-&gt;val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur-&gt;left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == nullptr) return nullptr;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur-&gt;left == nullptr || cur-&gt;right == nullptr) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = nullptr / \u8be5\u5b50\u7ed3\u70b9\nTreeNode* child = cur-&gt;left != nullptr ? cur-&gt;left : cur-&gt;right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre-&gt;left == cur) pre-&gt;left = child;\nelse pre-&gt;right = child;\n// \u91ca\u653e\u5185\u5b58\ndelete cur;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode* nex = getInOrderNext(cur-&gt;right);\nint tmp = nex-&gt;val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex-&gt;val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur-&gt;val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode* getInOrderNext(TreeNode* root) {\nif (root == nullptr) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root-&gt;left != nullptr) {\nroot = root-&gt;left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u5220\u9664\u7ed3\u70b9 \"\"\"\ndef remove(self, num: int) -&gt; Optional[TreeNode]:\nroot = self.root\n# \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root is None:\nreturn None\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\ncur, pre = root, None\nwhile cur is not None:\n# \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif cur.val == num:\nbreak\npre = cur\nif cur.val &lt; num:  # \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\ncur = cur.right\nelse:  # \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\ncur = cur.left\n# \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur is None:\nreturn None\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif cur.left is None or cur.right is None:\n# \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nchild = cur.left or cur.right\n# \u5220\u9664\u7ed3\u70b9 cur\nif pre.left == cur:\npre.left = child\nelse:\npre.right = child\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse:\n# \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nnex = self.get_inorder_next(cur.right)\ntmp = nex.val\n# \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nself.remove(nex.val)\n# \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp\nreturn cur\n\"\"\" \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 \"\"\"\ndef get_inorder_next(self, root: Optional[TreeNode]) -&gt; Optional[TreeNode]:\nif root is None:\nreturn root\n# \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile root.left is not None:\nroot = root.left\nreturn root\n</code></pre> binary_search_tree.go<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) remove(num int) *TreeNode {\ncur := bst.root\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5f85\u5220\u9664\u7ed3\u70b9\u4e4b\u524d\u7684\u7ed3\u70b9\u4f4d\u7f6e\nvar pre *TreeNode = nil\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor cur != nil {\nif cur.Val == num {\nbreak\n}\npre = cur\nif cur.Val &lt; num {\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728\u53f3\u5b50\u6811\u4e2d\ncur = cur.Right\n} else {\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728\u5de6\u5b50\u6811\u4e2d\ncur = cur.Left\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u4e3a 0 \u6216 1\nif cur.Left == nil || cur.Right == nil {\nvar child *TreeNode = nil\n// \u53d6\u51fa\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\nif cur.Left != nil {\nchild = cur.Left\n} else {\nchild = cur.Right\n}\n// \u5c06\u5b50\u7ed3\u70b9\u66ff\u6362\u4e3a\u5f85\u5220\u9664\u7ed3\u70b9\nif pre.Left == cur {\npre.Left = child\n} else {\npre.Right = child\n}\n// \u5b50\u7ed3\u70b9\u6570\u4e3a 2\n} else {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u5f85\u5220\u9664\u7ed3\u70b9 cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nnext := bst.getInOrderNext(cur)\ntemp := next.Val\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 next\nbst.remove(next.Val)\n// \u5c06 next \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.Val = temp\n}\nreturn cur\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc (bst *binarySearchTree) getInOrderNext(node *TreeNode) *TreeNode {\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nfor node.Left != nil {\nnode = node.Left\n}\nreturn node\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunction remove(num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) return null;\nlet cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val === num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur === null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left === null || cur.right === null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur.left !== null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left === cur) pre.left = child;\nelse pre.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet nex = getInOrderNext(cur.right);\nlet tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunction getInOrderNext(root) {\nif (root === null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left !== null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunction remove(num: number): TreeNode | null {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) {\nreturn null;\n}\nlet cur = root,\npre: TreeNode | null = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val === num) {\nbreak;\n}\npre = cur;\nif (cur.val &lt; num) {\ncur = cur.right as TreeNode; // \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else {\ncur = cur.left as TreeNode; // \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur === null) {\nreturn null;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left === null || cur.right === null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur.left !== null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre!.left === cur) {\npre!.left = child;\n} else {\npre!.right = child;\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet next = getInOrderNext(cur.right);\nlet tmp = next!.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(next!.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunction getInOrderNext(root: TreeNode | null): TreeNode | null {\nif (root === null) {\nreturn null;\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left !== null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{remove}\n[class]{binarySearchTree}-[func]{getInOrderNext}\n</code></pre> binary_search_tree.cs<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode? remove(int num)\n{\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode? cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null || pre == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left == null || cur.right == null)\n{\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nTreeNode? child = cur.left != null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left == cur)\n{\npre.left = child;\n}\nelse\n{\npre.right = child;\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse\n{\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode? nex = getInOrderNext(cur.right);\nif (nex != null)\n{\nint tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode? getInOrderNext(TreeNode? root)\n{\nif (root == null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left != null)\n{\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\n@discardableResult\nfunc remove(num: Int) -&gt; TreeNode? {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root == nil {\nreturn nil\n}\nvar cur = root\nvar pre: TreeNode?\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif cur!.val == num {\nbreak\n}\npre = cur\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse {\ncur = cur?.left\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif cur?.left == nil || cur?.right == nil {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur?.left != nil ? cur?.left : cur?.right\n// \u5220\u9664\u7ed3\u70b9 cur\nif pre?.left === cur {\npre?.left = child\n} else {\npre?.right = child\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet nex = getInOrderNext(root: cur?.right)\nlet tmp = nex!.val\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(num: nex!.val)\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur?.val = tmp\n}\nreturn cur\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc getInOrderNext(root: TreeNode?) -&gt; TreeNode? {\nvar root = root\nif root == nil {\nreturn root\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile root?.left != nil {\nroot = root?.left\n}\nreturn root\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u5220\u9664\u7ed3\u70b9\nfn remove(self: *Self, num: T) ?*inc.TreeNode(T) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (self.root == null) return null;\nvar cur = self.root;\nvar pre: ?*inc.TreeNode(T) = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.?.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\ncur = cur.?.left;\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.?.left == null or cur.?.right == null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nvar child = if (cur.?.left != null) cur.?.left else cur.?.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.?.left == cur) {\npre.?.left = child;\n} else {\npre.?.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\n} else {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nvar nex = self.getInOrderNext(cur.?.right);\nvar tmp = nex.?.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\n_ = self.remove(nex.?.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.?.val = tmp;\n}\nreturn cur;\n}\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09\nfn getInOrderNext(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n_ = self;\nvar node_tmp = node;\nif (node_tmp == null) return null;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node_tmp.?.left != null) {\nnode_tmp = node_tmp.?.left;\n}\nreturn node_tmp;\n}\n</code></pre>"},{"location":"chapter_tree/binary_search_tree/#_4","title":"\u6392\u5e8f","text":"<p>\u6211\u4eec\u77e5\u9053\uff0c\u300c\u4e2d\u5e8f\u904d\u5386\u300d\u9075\u5faa\u201c\u5de6 \\(\\rightarrow\\) \u6839 \\(\\rightarrow\\) \u53f3\u201d\u7684\u904d\u5386\u4f18\u5148\u7ea7\uff0c\u800c\u4e8c\u53c9\u641c\u7d22\u6811\u9075\u5faa\u201c\u5de6\u5b50\u7ed3\u70b9 \\(&lt;\\) \u6839\u7ed3\u70b9 \\(&lt;\\) \u53f3\u5b50\u7ed3\u70b9\u201d\u7684\u5927\u5c0f\u5173\u7cfb\u3002\u56e0\u6b64\uff0c\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u8fdb\u884c\u4e2d\u5e8f\u904d\u5386\u65f6\uff0c\u603b\u662f\u4f1a\u4f18\u5148\u904d\u5386\u4e0b\u4e00\u4e2a\u6700\u5c0f\u7ed3\u70b9\uff0c\u4ece\u800c\u5f97\u51fa\u4e00\u6761\u91cd\u8981\u6027\u8d28\uff1a\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u662f\u5347\u5e8f\u7684\u3002</p> <p>\u501f\u52a9\u4e2d\u5e8f\u904d\u5386\u5347\u5e8f\u7684\u6027\u8d28\uff0c\u6211\u4eec\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u83b7\u53d6\u6709\u5e8f\u6570\u636e\u4ec5\u9700 \\(O(n)\\) \u65f6\u95f4\uff0c\u800c\u65e0\u9700\u989d\u5916\u6392\u5e8f\uff0c\u975e\u5e38\u9ad8\u6548\u3002</p> <p></p>"},{"location":"chapter_tree/binary_search_tree/#732","title":"7.3.2. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6548\u7387","text":"<p>\u5047\u8bbe\u7ed9\u5b9a \\(n\\) \u4e2a\u6570\u5b57\uff0c\u6700\u5e38\u7528\u7684\u5b58\u50a8\u65b9\u5f0f\u662f\u300c\u6570\u7ec4\u300d\uff0c\u90a3\u4e48\u5bf9\u4e8e\u8fd9\u4e32\u4e71\u5e8f\u7684\u6570\u5b57\uff0c\u5e38\u89c1\u64cd\u4f5c\u7684\u6548\u7387\u4e3a\uff1a</p> <ul> <li>\u67e5\u627e\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u662f\u65e0\u5e8f\u7684\uff0c\u56e0\u6b64\u9700\u8981\u904d\u5386\u6570\u7ec4\u6765\u786e\u5b9a\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u63d2\u5165\u5143\u7d20\uff1a\u53ea\u9700\u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u6570\u7ec4\u5c3e\u90e8\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\uff1b</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u5148\u67e5\u627e\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u518d\u5728\u6570\u7ec4\u4e2d\u5220\u9664\u8be5\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20\uff1a\u9700\u8981\u904d\u5386\u6570\u7ec4\u6765\u786e\u5b9a\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> </ul> <p>\u4e3a\u4e86\u5f97\u5230\u5148\u9a8c\u4fe1\u606f\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u9884\u5148\u5c06\u6570\u7ec4\u5143\u7d20\u8fdb\u884c\u6392\u5e8f\uff0c\u5f97\u5230\u4e00\u4e2a\u300c\u6392\u5e8f\u6570\u7ec4\u300d\uff0c\u6b64\u65f6\u64cd\u4f5c\u6548\u7387\u4e3a\uff1a</p> <ul> <li>\u67e5\u627e\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u5df2\u6392\u5e8f\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u5e73\u5747\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff1b</li> <li>\u63d2\u5165\u5143\u7d20\uff1a\u5148\u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u518d\u63d2\u5165\u5230\u6307\u5b9a\u4f4d\u7f6e\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u5148\u67e5\u627e\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u518d\u5728\u6570\u7ec4\u4e2d\u5220\u9664\u8be5\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20\uff1a\u6570\u7ec4\u5934\u90e8\u548c\u5c3e\u90e8\u5143\u7d20\u5373\u662f\u6700\u5c0f\u548c\u6700\u5927\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\uff1b</li> </ul> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u65e0\u5e8f\u6570\u7ec4\u548c\u6709\u5e8f\u6570\u7ec4\u4e2d\u7684\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u201c\u504f\u79d1\u201d\u7684\uff0c\u5373\u6709\u7684\u5feb\u6709\u7684\u6162\uff1b\u800c\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f\u5bf9\u6570\u9636\uff0c\u5728\u6570\u636e\u91cf \\(n\\) \u5f88\u5927\u65f6\u6709\u5de8\u5927\u4f18\u52bf\u3002</p> \u65e0\u5e8f\u6570\u7ec4 \u6709\u5e8f\u6570\u7ec4 \u4e8c\u53c9\u641c\u7d22\u6811 \u67e5\u627e\u6307\u5b9a\u5143\u7d20 \\(O(n)\\) \\(O(\\log n)\\) \\(O(\\log n)\\) \u63d2\u5165\u5143\u7d20 \\(O(1)\\) \\(O(n)\\) \\(O(\\log n)\\) \u5220\u9664\u5143\u7d20 \\(O(n)\\) \\(O(n)\\) \\(O(\\log n)\\) \u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20 \\(O(n)\\) \\(O(1)\\) \\(O(\\log n)\\)"},{"location":"chapter_tree/binary_search_tree/#733","title":"7.3.3. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u9000\u5316","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u662f\u201c\u5de6\u53f3\u5e73\u8861\u201d\u7684\uff08\u8be6\u89c1\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\u7ae0\u8282\uff09\uff0c\u6b64\u65f6\u53ef\u4ee5\u5728 \\(\\log n\\) \u8f6e\u5faa\u73af\u5185\u67e5\u627e\u4efb\u610f\u7ed3\u70b9\u3002</p> <p>\u5982\u679c\u6211\u4eec\u52a8\u6001\u5730\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u53ef\u80fd\u5bfc\u81f4\u4e8c\u53c9\u6811\u9000\u5316\u4e3a\u94fe\u8868\uff0c\u6b64\u65f6\u5404\u79cd\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u9000\u5316\u4e4b \\(O(n)\\) \u3002</p> <p>Note</p> <p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5982\u4f55\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5e73\u8861\uff0c\u4e5f\u662f\u4e00\u4e2a\u9700\u8981\u91cd\u8981\u8003\u8651\u7684\u95ee\u9898\u3002</p> <p></p>"},{"location":"chapter_tree/binary_search_tree/#734","title":"7.3.4. \u4e8c\u53c9\u641c\u7d22\u6811\u5e38\u89c1\u5e94\u7528","text":"<ul> <li>\u7cfb\u7edf\u4e2d\u7684\u591a\u7ea7\u7d22\u5f15\uff0c\u9ad8\u6548\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u3002</li> <li>\u5404\u79cd\u641c\u7d22\u7b97\u6cd5\u7684\u5e95\u5c42\u6570\u636e\u7ed3\u6784\u3002</li> <li>\u5b58\u50a8\u6570\u636e\u6d41\uff0c\u4fdd\u6301\u5176\u5df2\u6392\u5e8f\u3002</li> </ul>"},{"location":"chapter_tree/binary_tree/","title":"7.1. \u4e8c\u53c9\u6811","text":"<p>\u300c\u4e8c\u53c9\u6811 Binary Tree\u300d\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u7740\u7956\u5148\u4e0e\u540e\u4ee3\u4e4b\u95f4\u7684\u6d3e\u751f\u5173\u7cfb\uff0c\u4f53\u73b0\u7740\u201c\u4e00\u5206\u4e3a\u4e8c\u201d\u7684\u5206\u6cbb\u903b\u8f91\u3002\u7c7b\u4f3c\u4e8e\u94fe\u8868\uff0c\u4e8c\u53c9\u6811\u4e5f\u662f\u4ee5\u7ed3\u70b9\u4e3a\u5355\u4f4d\u5b58\u50a8\u7684\uff0c\u7ed3\u70b9\u5305\u542b\u300c\u503c\u300d\u548c\u4e24\u4e2a\u300c\u6307\u9488\u300d\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nint val;         // \u7ed3\u70b9\u503c\nTreeNode left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct TreeNode {\nint val;          // \u7ed3\u70b9\u503c\nTreeNode *left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode *right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) : val(x), left(nullptr), right(nullptr) {}\n};\n</code></pre> <pre><code>\"\"\" \u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\"\nclass TreeNode:\ndef __init__(self, val=None, left=None, right=None):\nself.val = val      # \u7ed3\u70b9\u503c\nself.left = left    # \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nself.right = right  # \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\ntype TreeNode struct {\nVal   int\nLeft  *TreeNode\nRight *TreeNode\n}\n/* \u7ed3\u70b9\u521d\u59cb\u5316\u65b9\u6cd5 */\nfunc NewTreeNode(v int) *TreeNode {\nreturn &amp;TreeNode{\nLeft:  nil,\nRight: nil,\nVal:   v,\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nfunction TreeNode(val, left, right) {\nthis.val = (val === undefined ? 0 : val); // \u7ed3\u70b9\u503c\nthis.left = (left === undefined ? null : left); // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nthis.right = (right === undefined ? null : right); // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nval: number;\nleft: TreeNode | null;\nright: TreeNode | null;\nconstructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.left = left === undefined ? null : left; // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nthis.right = right === undefined ? null : right; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nint val;          // \u7ed3\u70b9\u503c\nTreeNode? left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode? right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar left: TreeNode? // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nvar right: TreeNode? // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\ninit(x: Int) {\nval = x\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u7ed3\u70b9\u7684\u4e24\u4e2a\u6307\u9488\u5206\u522b\u6307\u5411\u300c\u5de6\u5b50\u7ed3\u70b9 Left Child Node\u300d\u548c\u300c\u53f3\u5b50\u7ed3\u70b9 Right Child Node\u300d\uff0c\u5e76\u4e14\u79f0\u8be5\u7ed3\u70b9\u4e3a\u4e24\u4e2a\u5b50\u7ed3\u70b9\u7684\u300c\u7236\u7ed3\u70b9 Parent Node\u300d\u3002\u7ed9\u5b9a\u4e8c\u53c9\u6811\u67d0\u7ed3\u70b9\uff0c\u5c06\u5de6\u5b50\u7ed3\u70b9\u4ee5\u4e0b\u7684\u6811\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u300c\u5de6\u5b50\u6811 Left Subtree\u300d\uff0c\u53f3\u5b50\u6811\u540c\u7406\u3002</p> <p>\u9664\u4e86\u53f6\u7ed3\u70b9\u5916\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u6709\u5b50\u7ed3\u70b9\u548c\u5b50\u6811\u3002\u4f8b\u5982\uff0c\u82e5\u5c06\u4e0b\u56fe\u7684\u300c\u7ed3\u70b9 2\u300d\u770b\u4f5c\u7236\u7ed3\u70b9\uff0c\u90a3\u4e48\u5176\u5de6\u5b50\u7ed3\u70b9\u548c\u53f3\u5b50\u7ed3\u70b9\u5206\u522b\u4e3a\u300c\u7ed3\u70b9 4\u300d\u548c\u300c\u7ed3\u70b9 5\u300d\uff0c\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u5206\u522b\u4e3a\u300c\u7ed3\u70b9 4 \u53ca\u5176\u4ee5\u4e0b\u7ed3\u70b9\u5f62\u6210\u7684\u6811\u300d\u548c\u300c\u7ed3\u70b9 5 \u53ca\u5176\u4ee5\u4e0b\u7ed3\u70b9\u5f62\u6210\u7684\u6811\u300d\u3002</p> <p></p> <p> Fig. \u5b50\u7ed3\u70b9\u4e0e\u5b50\u6811 </p>"},{"location":"chapter_tree/binary_tree/#711","title":"7.1.1. \u4e8c\u53c9\u6811\u5e38\u89c1\u672f\u8bed","text":"<p>\u4e8c\u53c9\u6811\u7684\u672f\u8bed\u8f83\u591a\uff0c\u5efa\u8bae\u5c3d\u91cf\u7406\u89e3\u5e76\u8bb0\u4f4f\u3002\u540e\u7eed\u53ef\u80fd\u9057\u5fd8\uff0c\u53ef\u4ee5\u5728\u9700\u8981\u4f7f\u7528\u65f6\u56de\u6765\u67e5\u770b\u786e\u8ba4\u3002</p> <ul> <li>\u300c\u6839\u7ed3\u70b9 Root Node\u300d\uff1a\u4e8c\u53c9\u6811\u6700\u9876\u5c42\u7684\u7ed3\u70b9\uff0c\u5176\u6ca1\u6709\u7236\u7ed3\u70b9\uff1b</li> <li>\u300c\u53f6\u7ed3\u70b9 Leaf Node\u300d\uff1a\u6ca1\u6709\u5b50\u7ed3\u70b9\u7684\u7ed3\u70b9\uff0c\u5176\u4e24\u4e2a\u6307\u9488\u90fd\u6307\u5411 \\(\\text{null}\\) \uff1b</li> <li>\u7ed3\u70b9\u6240\u5904\u300c\u5c42 Level\u300d\uff1a\u4ece\u9876\u81f3\u5e95\u4f9d\u6b21\u589e\u52a0\uff0c\u6839\u7ed3\u70b9\u6240\u5904\u5c42\u4e3a 1 \uff1b</li> <li>\u7ed3\u70b9\u300c\u5ea6 Degree\u300d\uff1a\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf\u3002\u4e8c\u53c9\u6811\u4e2d\uff0c\u5ea6\u7684\u8303\u56f4\u662f 0, 1, 2 \uff1b</li> <li>\u300c\u8fb9 Edge\u300d\uff1a\u8fde\u63a5\u4e24\u4e2a\u7ed3\u70b9\u7684\u8fb9\uff0c\u5373\u7ed3\u70b9\u6307\u9488\uff1b</li> <li>\u4e8c\u53c9\u6811\u300c\u9ad8\u5ea6\u300d\uff1a\u4e8c\u53c9\u6811\u4e2d\u6839\u7ed3\u70b9\u5230\u6700\u8fdc\u53f6\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> <li>\u7ed3\u70b9\u300c\u6df1\u5ea6 Depth\u300d \uff1a\u6839\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> <li>\u7ed3\u70b9\u300c\u9ad8\u5ea6 Height\u300d\uff1a\u6700\u8fdc\u53f6\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> </ul> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u5e38\u89c1\u672f\u8bed </p> <p>\u9ad8\u5ea6\u4e0e\u6df1\u5ea6\u7684\u5b9a\u4e49</p> <p>\u503c\u5f97\u6ce8\u610f\uff0c\u6211\u4eec\u901a\u5e38\u5c06\u300c\u9ad8\u5ea6\u300d\u548c\u300c\u6df1\u5ea6\u300d\u5b9a\u4e49\u4e3a\u201c\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\u201d\uff0c\u800c\u6709\u4e9b\u9898\u76ee\u6216\u6559\u6750\u4f1a\u5c06\u5176\u5b9a\u4e49\u4e3a\u201c\u8d70\u8fc7\u7ed3\u70b9\u7684\u6570\u91cf\u201d\uff0c\u6b64\u65f6\u9ad8\u5ea6\u6216\u6df1\u5ea6\u90fd\u9700\u8981 + 1 \u3002</p>"},{"location":"chapter_tree/binary_tree/#712","title":"7.1.2. \u4e8c\u53c9\u6811\u57fa\u672c\u64cd\u4f5c","text":"<p>\u521d\u59cb\u5316\u4e8c\u53c9\u6811\u3002\u4e0e\u94fe\u8868\u7c7b\u4f3c\uff0c\u5148\u521d\u59cb\u5316\u7ed3\u70b9\uff0c\u518d\u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree.java<pre><code>// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode n1 = new TreeNode(1);\nTreeNode n2 = new TreeNode(2);\nTreeNode n3 = new TreeNode(3);\nTreeNode n4 = new TreeNode(4);\nTreeNode n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.cpp<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode* n1 = new TreeNode(1);\nTreeNode* n2 = new TreeNode(2);\nTreeNode* n3 = new TreeNode(3);\nTreeNode* n4 = new TreeNode(4);\nTreeNode* n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1-&gt;left = n2;\nn1-&gt;right = n3;\nn2-&gt;left = n4;\nn2-&gt;right = n5;\n</code></pre> binary_tree.py<pre><code>\"\"\" \u521d\u59cb\u5316\u4e8c\u53c9\u6811 \"\"\"\n# \u521d\u59cb\u5316\u7ed3\u70b9\nn1 = TreeNode(val=1)\nn2 = TreeNode(val=2)\nn3 = TreeNode(val=3)\nn4 = TreeNode(val=4)\nn5 = TreeNode(val=5)\n# \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2\nn1.right = n3\nn2.left = n4\nn2.right = n5\n</code></pre> binary_tree.go<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nn1 := NewTreeNode(1)\nn2 := NewTreeNode(2)\nn3 := NewTreeNode(3)\nn4 := NewTreeNode(4)\nn5 := NewTreeNode(5)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.Left = n2\nn1.Right = n3\nn2.Left = n4\nn2.Right = n5\n</code></pre> binary_tree.js<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = new TreeNode(1),\nn2 = new TreeNode(2),\nn3 = new TreeNode(3),\nn4 = new TreeNode(4),\nn5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.ts<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = new TreeNode(1),\nn2 = new TreeNode(2),\nn3 = new TreeNode(3),\nn4 = new TreeNode(4),\nn5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.c<pre><code>\n</code></pre> binary_tree.cs<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode n1 = new TreeNode(1);\nTreeNode n2 = new TreeNode(2);\nTreeNode n3 = new TreeNode(3);\nTreeNode n4 = new TreeNode(4);\nTreeNode n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.swift<pre><code>// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = TreeNode(x: 1)\nlet n2 = TreeNode(x: 2)\nlet n3 = TreeNode(x: 3)\nlet n4 = TreeNode(x: 4)\nlet n5 = TreeNode(x: 5)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2\nn1.right = n3\nn2.left = n4\nn2.right = n5\n</code></pre> binary_tree.zig<pre><code>\n</code></pre> <p>\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u3002\u4e0e\u94fe\u8868\u7c7b\u4f3c\uff0c\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u90fd\u53ef\u4ee5\u901a\u8fc7\u4fee\u6539\u6307\u9488\u5b9e\u73b0\u3002</p> <p></p> <p> Fig. \u5728\u4e8c\u53c9\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree.java<pre><code>TreeNode P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.cpp<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nTreeNode* P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1-&gt;left = P;\nP-&gt;left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1-&gt;left = n2;\n</code></pre> binary_tree.py<pre><code>\"\"\" \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 \"\"\"\np = TreeNode(0)\n# \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = p\np.left = n2\n# \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2\n</code></pre> binary_tree.go<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\np := NewTreeNode(0)\nn1.Left = p\np.Left = n2\n// \u5220\u9664\u7ed3\u70b9 P\nn1.Left = n2\n</code></pre> binary_tree.js<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nlet P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.ts<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nconst P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.c<pre><code>\n</code></pre> binary_tree.cs<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nTreeNode P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.swift<pre><code>let P = TreeNode(x: 0)\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P\nP.left = n2\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2\n</code></pre> binary_tree.zig<pre><code>\n</code></pre> <p>Note</p> <p>\u63d2\u5165\u7ed3\u70b9\u4f1a\u6539\u53d8\u4e8c\u53c9\u6811\u7684\u539f\u6709\u903b\u8f91\u7ed3\u6784\uff0c\u5220\u9664\u7ed3\u70b9\u5f80\u5f80\u610f\u5473\u7740\u5220\u9664\u4e86\u8be5\u7ed3\u70b9\u7684\u6240\u6709\u5b50\u6811\u3002\u56e0\u6b64\uff0c\u4e8c\u53c9\u6811\u4e2d\u7684\u63d2\u5165\u4e0e\u5220\u9664\u4e00\u822c\u90fd\u662f\u7531\u4e00\u5957\u64cd\u4f5c\u914d\u5408\u5b8c\u6210\u7684\uff0c\u8fd9\u6837\u624d\u80fd\u5b9e\u73b0\u6709\u610f\u4e49\u7684\u64cd\u4f5c\u3002</p>"},{"location":"chapter_tree/binary_tree/#713","title":"7.1.3. \u5e38\u89c1\u4e8c\u53c9\u6811\u7c7b\u578b","text":""},{"location":"chapter_tree/binary_tree/#_1","title":"\u5b8c\u7f8e\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811 Perfect Binary Tree\u300d\u7684\u6240\u6709\u5c42\u7684\u7ed3\u70b9\u90fd\u88ab\u5b8c\u5168\u586b\u6ee1\u3002\u5728\u5b8c\u7f8e\u4e8c\u53c9\u6811\u4e2d\uff0c\u6240\u6709\u7ed3\u70b9\u7684\u5ea6 = 2 \uff1b\u82e5\u6811\u9ad8\u5ea6 \\(= h\\) \uff0c\u5219\u7ed3\u70b9\u603b\u6570 \\(= 2^{h+1} - 1\\) \uff0c\u5448\u6807\u51c6\u7684\u6307\u6570\u7ea7\u5173\u7cfb\uff0c\u53cd\u6620\u7740\u81ea\u7136\u754c\u4e2d\u5e38\u89c1\u7684\u7ec6\u80de\u5206\u88c2\u3002</p> <p>Tip</p> <p>\u5728\u4e2d\u6587\u793e\u533a\u4e2d\uff0c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u5e38\u88ab\u79f0\u4e3a\u300c\u6ee1\u4e8c\u53c9\u6811\u300d\uff0c\u8bf7\u6ce8\u610f\u4e0e\u5b8c\u6ee1\u4e8c\u53c9\u6811\u533a\u5206\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_2","title":"\u5b8c\u5168\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u5168\u4e8c\u53c9\u6811 Complete Binary Tree\u300d\u53ea\u6709\u6700\u5e95\u5c42\u7684\u7ed3\u70b9\u672a\u88ab\u586b\u6ee1\uff0c\u4e14\u6700\u5e95\u5c42\u7ed3\u70b9\u5c3d\u91cf\u9760\u5de6\u586b\u5145\u3002</p> <p>\u5b8c\u5168\u4e8c\u53c9\u6811\u975e\u5e38\u9002\u5408\u7528\u6570\u7ec4\u6765\u8868\u793a\u3002\u5982\u679c\u6309\u7167\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u987a\u5e8f\u6765\u5b58\u50a8\uff0c\u90a3\u4e48\u7a7a\u7ed3\u70b9 <code>null</code> \u4e00\u5b9a\u5168\u90e8\u51fa\u73b0\u5728\u5e8f\u5217\u7684\u5c3e\u90e8\uff0c\u56e0\u6b64\u6211\u4eec\u5c31\u53ef\u4ee5\u4e0d\u7528\u5b58\u50a8\u8fd9\u4e9b null \u4e86\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_3","title":"\u5b8c\u6ee1\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u6ee1\u4e8c\u53c9\u6811 Full Binary Tree\u300d\u9664\u4e86\u53f6\u7ed3\u70b9\u4e4b\u5916\uff0c\u5176\u4f59\u6240\u6709\u7ed3\u70b9\u90fd\u6709\u4e24\u4e2a\u5b50\u7ed3\u70b9\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_4","title":"\u5e73\u8861\u4e8c\u53c9\u6811","text":"<p>\u300c\u5e73\u8861\u4e8c\u53c9\u6811 Balanced Binary Tree\u300d\u4e2d\u4efb\u610f\u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c \\(\\leq 1\\) \u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#714","title":"7.1.4. \u4e8c\u53c9\u6811\u7684\u9000\u5316","text":"<p>\u5f53\u4e8c\u53c9\u6811\u7684\u6bcf\u5c42\u7684\u7ed3\u70b9\u90fd\u88ab\u586b\u6ee1\u65f6\uff0c\u8fbe\u5230\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff1b\u800c\u5f53\u6240\u6709\u7ed3\u70b9\u90fd\u504f\u5411\u4e00\u8fb9\u65f6\uff0c\u4e8c\u53c9\u6811\u9000\u5316\u4e3a\u300c\u94fe\u8868\u300d\u3002</p> <ul> <li>\u5b8c\u7f8e\u4e8c\u53c9\u6811\u662f\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u201c\u6700\u4f73\u72b6\u6001\u201d\uff0c\u53ef\u4ee5\u5b8c\u5168\u53d1\u6325\u51fa\u4e8c\u53c9\u6811\u201c\u5206\u6cbb\u201d\u7684\u4f18\u52bf\uff1b</li> <li>\u94fe\u8868\u5219\u662f\u53e6\u4e00\u4e2a\u6781\u7aef\uff0c\u5404\u9879\u64cd\u4f5c\u90fd\u53d8\u4e3a\u7ebf\u6027\u64cd\u4f5c\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u9000\u5316\u81f3 \\(O(n)\\) \uff1b</li> </ul> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u6700\u4f73\u548c\u6700\u5dee\u7ed3\u6784 </p> <p>\u5982\u4e0b\u8868\u6240\u793a\uff0c\u5728\u6700\u4f73\u548c\u6700\u5dee\u7ed3\u6784\u4e0b\uff0c\u4e8c\u53c9\u6811\u7684\u53f6\u7ed3\u70b9\u6570\u91cf\u3001\u7ed3\u70b9\u603b\u6570\u3001\u9ad8\u5ea6\u7b49\u8fbe\u5230\u6781\u5927\u6216\u6781\u5c0f\u503c\u3002</p> \u5b8c\u7f8e\u4e8c\u53c9\u6811 \u94fe\u8868 \u7b2c \\(i\\) \u5c42\u7684\u7ed3\u70b9\u6570\u91cf \\(2^{i-1}\\) \\(1\\) \u6811\u7684\u9ad8\u5ea6\u4e3a \\(h\\) \u65f6\u7684\u53f6\u7ed3\u70b9\u6570\u91cf \\(2^h\\) \\(1\\) \u6811\u7684\u9ad8\u5ea6\u4e3a \\(h\\) \u65f6\u7684\u7ed3\u70b9\u603b\u6570 \\(2^{h+1} - 1\\) \\(h + 1\\) \u6811\u7684\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \u65f6\u7684\u9ad8\u5ea6 \\(\\log_2 (n+1) - 1\\) \\(n - 1\\)"},{"location":"chapter_tree/binary_tree/#715","title":"7.1.5. \u4e8c\u53c9\u6811\u8868\u793a\u65b9\u5f0f *","text":"<p>\u6211\u4eec\u4e00\u822c\u4f7f\u7528\u4e8c\u53c9\u6811\u7684\u300c\u94fe\u8868\u8868\u793a\u300d\uff0c\u5373\u5b58\u50a8\u5355\u4f4d\u4e3a\u7ed3\u70b9 <code>TreeNode</code> \uff0c\u7ed3\u70b9\u4e4b\u95f4\u901a\u8fc7\u6307\u9488\uff08\u5f15\u7528\uff09\u76f8\u8fde\u63a5\u3002\u672c\u6587\u524d\u8ff0\u793a\u4f8b\u4ee3\u7801\u5c55\u793a\u4e86\u4e8c\u53c9\u6811\u5728\u94fe\u8868\u8868\u793a\u4e0b\u7684\u5404\u9879\u57fa\u672c\u64cd\u4f5c\u3002</p> <p>\u90a3\u80fd\u5426\u53ef\u4ee5\u7528\u300c\u6570\u7ec4\u8868\u793a\u300d\u4e8c\u53c9\u6811\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\u3002\u5148\u6765\u5206\u6790\u4e00\u4e2a\u7b80\u5355\u6848\u4f8b\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff0c\u5c06\u7ed3\u70b9\u6309\u7167\u5c42\u5e8f\u904d\u5386\u7684\u987a\u5e8f\u7f16\u53f7\uff08\u4ece 0 \u5f00\u59cb\uff09\uff0c\u90a3\u4e48\u53ef\u4ee5\u63a8\u5bfc\u5f97\u51fa\u7236\u7ed3\u70b9\u7d22\u5f15\u4e0e\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e4b\u95f4\u7684\u300c\u6620\u5c04\u516c\u5f0f\u300d\uff1a\u8bbe\u7ed3\u70b9\u7684\u7d22\u5f15\u4e3a \\(i\\) \uff0c\u5219\u8be5\u7ed3\u70b9\u7684\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 1\\) \u3001\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 2\\) \u3002</p> <p>\u672c\u8d28\u4e0a\uff0c\u6620\u5c04\u516c\u5f0f\u7684\u4f5c\u7528\u5c31\u662f\u94fe\u8868\u4e2d\u7684\u6307\u9488\u3002\u5bf9\u4e8e\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u4e2d\u7684\u4efb\u610f\u7ed3\u70b9\uff0c\u6211\u4eec\u90fd\u53ef\u4ee5\u4f7f\u7528\u6620\u5c04\u516c\u5f0f\u6765\u8bbf\u95ee\u5b50\u7ed3\u70b9\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\uff08\u5373\u6570\u7ec4\uff09\u6765\u8868\u793a\u5b8c\u7f8e\u4e8c\u53c9\u6811\u3002</p> <p></p> <p>\u7136\u800c\uff0c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u53ea\u662f\u4e2a\u4f8b\uff0c\u4e8c\u53c9\u6811\u4e2d\u95f4\u5c42\u5f80\u5f80\u5b58\u5728\u8bb8\u591a\u7a7a\u7ed3\u70b9\uff08\u5373 <code>null</code> \uff09\uff0c\u800c\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u5e76\u4e0d\u5305\u542b\u8fd9\u4e9b\u7a7a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6211\u4eec\u65e0\u6cd5\u5355\u51ed\u5e8f\u5217\u6765\u731c\u6d4b\u7a7a\u7ed3\u70b9\u7684\u6570\u91cf\u548c\u5206\u5e03\u4f4d\u7f6e\uff0c\u5373\u7406\u8bba\u4e0a\u5b58\u5728\u8bb8\u591a\u79cd\u4e8c\u53c9\u6811\u90fd\u7b26\u5408\u8be5\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u3002\u663e\u7136\uff0c\u8fd9\u79cd\u60c5\u51b5\u65e0\u6cd5\u4f7f\u7528\u6570\u7ec4\u6765\u5b58\u50a8\u4e8c\u53c9\u6811\u3002</p> <p></p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u8003\u8651\u6309\u7167\u5b8c\u7f8e\u4e8c\u53c9\u6811\u7684\u5f62\u5f0f\u6765\u8868\u793a\u6240\u6709\u4e8c\u53c9\u6811\uff0c\u5373\u5728\u5e8f\u5217\u4e2d\u4f7f\u7528\u7279\u6b8a\u7b26\u53f7\u6765\u663e\u5f0f\u5730\u8868\u793a\u201c\u7a7a\u4f4d\u201d\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u6837\u5904\u7406\u540e\uff0c\u5e8f\u5217\uff08\u6570\u7ec4\uff09\u5c31\u53ef\u4ee5\u552f\u4e00\u8868\u793a\u4e8c\u53c9\u6811\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 int \u7684\u5305\u88c5\u7c7b Integer \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 null \u6765\u6807\u8bb0\u7a7a\u4f4d\nInteger[] tree = { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4e3a\u4e86\u7b26\u5408\u6570\u636e\u7c7b\u578b\u4e3a int \uff0c\u4f7f\u7528 int \u6700\u5927\u503c\u6807\u8bb0\u7a7a\u4f4d\n// \u8be5\u65b9\u6cd5\u7684\u4f7f\u7528\u524d\u63d0\u662f\u6ca1\u6709\u7ed3\u70b9\u7684\u503c = INT_MAX\nvector&lt;int&gt; tree = { 1, 2, 3, 4, INT_MAX, 6, 7, 8, 9, INT_MAX, INT_MAX, 12, INT_MAX, INT_MAX, 15 };\n</code></pre> <pre><code>\"\"\" \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a \"\"\"\n# \u76f4\u63a5\u4f7f\u7528 None \u6765\u8868\u793a\u7a7a\u4f4d\ntree = [1, 2, 3, 4, None, 6, 7, 8, 9, None, None, 12, None, None, 15]\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u76f4\u63a5\u4f7f\u7528 null \u6765\u8868\u793a\u7a7a\u4f4d\nlet tree = [1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15];\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u76f4\u63a5\u4f7f\u7528 null \u6765\u8868\u793a\u7a7a\u4f4d\nlet tree: (number | null)[] = [1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15];\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 int? \u53ef\u7a7a\u7c7b\u578b \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 null \u6765\u6807\u8bb0\u7a7a\u4f4d\nint?[] tree = { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 Int? \u53ef\u7a7a\u7c7b\u578b \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 nil \u6765\u6807\u8bb0\u7a7a\u4f4d\nlet tree: [Int?] = [1, 2, 3, 4, nil, 6, 7, 8, 9, nil, nil, 12, nil, nil, 15]\n</code></pre> <pre><code>\n</code></pre> <p></p> <p>\u56de\u987e\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u7684\u5b9a\u4e49\uff0c\u5176\u53ea\u6709\u6700\u5e95\u5c42\u6709\u7a7a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6700\u5e95\u5c42\u7684\u7ed3\u70b9\u5c3d\u91cf\u9760\u5de6\uff0c\u56e0\u800c\u6240\u6709\u7a7a\u7ed3\u70b9\u90fd\u4e00\u5b9a\u51fa\u73b0\u5728\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u672b\u5c3e\u3002\u56e0\u4e3a\u6211\u4eec\u5148\u9a8c\u5730\u786e\u5b9a\u4e86\u7a7a\u4f4d\u7684\u4f4d\u7f6e\uff0c\u6240\u4ee5\u5728\u4f7f\u7528\u6570\u7ec4\u8868\u793a\u5b8c\u5168\u4e8c\u53c9\u6811\u65f6\uff0c\u53ef\u4ee5\u7701\u7565\u5b58\u50a8\u201c\u7a7a\u4f4d\u201d\u3002\u56e0\u6b64\uff0c\u5b8c\u5168\u4e8c\u53c9\u6811\u975e\u5e38\u9002\u5408\u4f7f\u7528\u6570\u7ec4\u6765\u8868\u793a\u3002</p> <p></p> <p>\u6570\u7ec4\u8868\u793a\u6709\u4e24\u4e2a\u4f18\u70b9\uff1a \u4e00\u662f\u4e0d\u9700\u8981\u5b58\u50a8\u6307\u9488\uff0c\u8282\u7701\u7a7a\u95f4\uff1b\u4e8c\u662f\u53ef\u4ee5\u968f\u673a\u8bbf\u95ee\u7ed3\u70b9\u3002\u7136\u800c\uff0c\u5f53\u4e8c\u53c9\u6811\u4e2d\u7684\u201c\u7a7a\u4f4d\u201d\u5f88\u591a\u65f6\uff0c\u6570\u7ec4\u4e2d\u53ea\u5305\u542b\u5f88\u5c11\u7ed3\u70b9\u7684\u6570\u636e\uff0c\u7a7a\u95f4\u5229\u7528\u7387\u5f88\u4f4e\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/","title":"7.2. \u4e8c\u53c9\u6811\u904d\u5386","text":"<p>\u4ece\u7269\u7406\u7ed3\u6784\u89d2\u5ea6\u770b\uff0c\u6811\u662f\u4e00\u79cd\u57fa\u4e8e\u94fe\u8868\u7684\u6570\u636e\u7ed3\u6784\uff0c\u56e0\u6b64\u904d\u5386\u65b9\u5f0f\u4e5f\u662f\u901a\u8fc7\u6307\u9488\uff08\u5373\u5f15\u7528\uff09\u9010\u4e2a\u904d\u5386\u7ed3\u70b9\u3002\u540c\u65f6\uff0c\u6811\u8fd8\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u8fd9\u5bfc\u81f4\u904d\u5386\u6811\u6bd4\u904d\u5386\u94fe\u8868\u66f4\u52a0\u590d\u6742\uff0c\u9700\u8981\u4f7f\u7528\u641c\u7d22\u7b97\u6cd5\u6765\u5b9e\u73b0\u3002</p> <p>\u5e38\u89c1\u7684\u4e8c\u53c9\u6811\u904d\u5386\u65b9\u5f0f\u6709\u5c42\u5e8f\u904d\u5386\u3001\u524d\u5e8f\u904d\u5386\u3001\u4e2d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#721","title":"7.2.1. \u5c42\u5e8f\u904d\u5386","text":"<p>\u300c\u5c42\u5e8f\u904d\u5386 Level-Order Traversal\u300d\u4ece\u9876\u81f3\u5e95\u3001\u4e00\u5c42\u4e00\u5c42\u5730\u904d\u5386\u4e8c\u53c9\u6811\uff0c\u5e76\u5728\u6bcf\u5c42\u4e2d\u6309\u7167\u4ece\u5de6\u5230\u53f3\u7684\u987a\u5e8f\u8bbf\u95ee\u7ed3\u70b9\u3002</p> <p>\u5c42\u5e8f\u904d\u5386\u672c\u8d28\u4e0a\u662f\u300c\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22 Breadth-First Traversal\u300d\uff0c\u5176\u4f53\u73b0\u7740\u4e00\u79cd\u201c\u4e00\u5708\u4e00\u5708\u5411\u5916\u201d\u7684\u5c42\u8fdb\u904d\u5386\u65b9\u5f0f\u3002</p> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u5c42\u5e8f\u904d\u5386 </p>"},{"location":"chapter_tree/binary_tree_traversal/#_1","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u4e00\u822c\u501f\u52a9\u300c\u961f\u5217\u300d\u6765\u5b9e\u73b0\u3002\u961f\u5217\u7684\u89c4\u5219\u662f\u201c\u5148\u8fdb\u5148\u51fa\u201d\uff0c\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7684\u89c4\u5219\u662f \u201d\u4e00\u5c42\u5c42\u5e73\u63a8\u201c \uff0c\u4e24\u8005\u80cc\u540e\u7684\u601d\u60f3\u662f\u4e00\u81f4\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree_bfs.java<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nList&lt;Integer&gt; levelOrder(TreeNode root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nQueue&lt;TreeNode&gt; queue = new LinkedList&lt;&gt;() {{ add(root); }};\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nList&lt;Integer&gt; list = new ArrayList&lt;&gt;();\nwhile (!queue.isEmpty()) {\nTreeNode node = queue.poll();  // \u961f\u5217\u51fa\u961f\nlist.add(node.val);            // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null)\nqueue.offer(node.left);    // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right != null)\nqueue.offer(node.right);   // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.cpp<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nvector&lt;int&gt; levelOrder(TreeNode* root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue&lt;TreeNode*&gt; queue;\nqueue.push(root);\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvector&lt;int&gt; vec;\nwhile (!queue.empty()) {\nTreeNode* node = queue.front();\nqueue.pop();                 // \u961f\u5217\u51fa\u961f\nvec.push_back(node-&gt;val);    // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node-&gt;left != nullptr)\nqueue.push(node-&gt;left);  // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node-&gt;right != nullptr)\nqueue.push(node-&gt;right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn vec;\n}\n</code></pre> binary_tree_bfs.py<pre><code>\"\"\" \u5c42\u5e8f\u904d\u5386 \"\"\"\ndef level_order(root: Optional[TreeNode]):\n# \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue = collections.deque()\nqueue.append(root)\n# \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nres = []\nwhile queue:\nnode = queue.popleft()       # \u961f\u5217\u51fa\u961f\nres.append(node.val)         # \u4fdd\u5b58\u7ed3\u70b9\u503c\nif node.left is not None:\nqueue.append(node.left)  # \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif node.right is not None:\nqueue.append(node.right) # \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\nreturn res\n</code></pre> binary_tree_bfs.go<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunc levelOrder(root *TreeNode) []int {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue := list.New()\nqueue.PushBack(root)\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5207\u7247\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nnums := make([]int, 0)\nfor queue.Len() &gt; 0 {\n// poll\nnode := queue.Remove(queue.Front()).(*TreeNode)\n// \u4fdd\u5b58\u7ed3\u70b9\u503c\nnums = append(nums, node.Val)\nif node.Left != nil {\n// \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nqueue.PushBack(node.Left)\n}\nif node.Right != nil {\n// \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\nqueue.PushBack(node.Right)\n}\n}\nreturn nums\n}\n</code></pre> binary_tree_bfs.js<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunction levelOrder(root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nlet queue = [root];\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nlet list = [];\nwhile (queue.length) {\nlet node = queue.shift();   // \u961f\u5217\u51fa\u961f\nlist.push(node.val);        // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left)\nqueue.push(node.left);  // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right)\nqueue.push(node.right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.ts<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunction levelOrder(root: TreeNode | null): number[] {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nconst queue = [root];\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nconst list: number[] = [];\nwhile (queue.length) {\nlet node = queue.shift() as TreeNode; // \u961f\u5217\u51fa\u961f\nlist.push(node.val); // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left) {\nqueue.push(node.left); // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif (node.right) {\nqueue.push(node.right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.c<pre><code>[class]{}-[func]{levelOrder}\n</code></pre> binary_tree_bfs.cs<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nList&lt;int&gt; levelOrder(TreeNode root)\n{\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nQueue&lt;TreeNode&gt; queue = new();\nqueue.Enqueue(root);\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nList&lt;int&gt; list = new();\nwhile (queue.Count != 0)\n{\nTreeNode node = queue.Dequeue(); // \u961f\u5217\u51fa\u961f\nlist.Add(node.val);              // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null)\nqueue.Enqueue(node.left);    // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right != null)\nqueue.Enqueue(node.right);   // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.swift<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunc levelOrder(root: TreeNode) -&gt; [Int] {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nvar queue: [TreeNode] = [root]\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvar list: [Int] = []\nwhile !queue.isEmpty {\nlet node = queue.removeFirst() // \u961f\u5217\u51fa\u961f\nlist.append(node.val) // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif let left = node.left {\nqueue.append(left) // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif let right = node.right {\nqueue.append(right) // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\n}\nreturn list\n}\n</code></pre> binary_tree_bfs.zig<pre><code>// \u5c42\u5e8f\u904d\u5386\nfn levelOrder(comptime T: type, mem_allocator: std.mem.Allocator, root: *inc.TreeNode(T)) !std.ArrayList(T) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nconst L = std.TailQueue(*inc.TreeNode(T));\nvar queue = L{};\nvar root_node = try mem_allocator.create(L.Node);\nroot_node.data = root;\nqueue.append(root_node); // \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvar list = std.ArrayList(T).init(std.heap.page_allocator);\nwhile (queue.len &gt; 0) {\nvar queue_node = queue.popFirst().?;    // \u961f\u5217\u51fa\u961f\nvar node = queue_node.data;\ntry list.append(node.val);              // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null) {\nvar tmp_node = try mem_allocator.create(L.Node);\ntmp_node.data = node.left.?;\nqueue.append(tmp_node);             // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif (node.right != null) {\nvar tmp_node = try mem_allocator.create(L.Node);\ntmp_node.data = node.right.?;\nqueue.append(tmp_node);             // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}        }\nreturn list;\n}\n</code></pre>"},{"location":"chapter_tree/binary_tree_traversal/#_2","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u6240\u6709\u7ed3\u70b9\u88ab\u8bbf\u95ee\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d \\(n\\) \u4e3a\u7ed3\u70b9\u6570\u91cf\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a\u5f53\u4e3a\u6ee1\u4e8c\u53c9\u6811\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u904d\u5386\u5230\u6700\u5e95\u5c42\u524d\uff0c\u961f\u5217\u4e2d\u6700\u591a\u540c\u65f6\u5b58\u5728 \\(\\frac{n + 1}{2}\\) \u4e2a\u7ed3\u70b9\uff0c\u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#722","title":"7.2.2. \u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386","text":"<p>\u76f8\u5bf9\u5730\uff0c\u524d\u3001\u4e2d\u3001\u540e\u5e8f\u904d\u5386\u7686\u5c5e\u4e8e\u300c\u6df1\u5ea6\u4f18\u5148\u904d\u5386 Depth-First Traversal\u300d\uff0c\u5176\u4f53\u73b0\u7740\u4e00\u79cd\u201c\u5148\u8d70\u5230\u5c3d\u5934\uff0c\u518d\u56de\u5934\u7ee7\u7eed\u201d\u7684\u56de\u6eaf\u904d\u5386\u65b9\u5f0f\u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5de6\u4fa7\u662f\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u7684\u793a\u610f\u56fe\uff0c\u53f3\u4e0a\u65b9\u662f\u5bf9\u5e94\u7684\u9012\u5f52\u5b9e\u73b0\u4ee3\u7801\u3002\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u5c31\u50cf\u662f\u7ed5\u7740\u6574\u4e2a\u4e8c\u53c9\u6811\u7684\u5916\u56f4\u201c\u8d70\u201d\u4e00\u5708\uff0c\u8d70\u7684\u8fc7\u7a0b\u4e2d\uff0c\u5728\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u4f1a\u9047\u5230\u4e09\u4e2a\u4f4d\u7f6e\uff0c\u5206\u522b\u5bf9\u5e94\u524d\u5e8f\u904d\u5386\u3001\u4e2d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386\u3002</p> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u524d / \u4e2d / \u540e\u5e8f\u904d\u5386 </p> \u4f4d\u7f6e \u542b\u4e49 \u6b64\u5904\u8bbf\u95ee\u7ed3\u70b9\u65f6\u5bf9\u5e94 \u6a59\u8272\u5706\u5708\u5904 \u521a\u8fdb\u5165\u6b64\u7ed3\u70b9\uff0c\u5373\u5c06\u8bbf\u95ee\u8be5\u7ed3\u70b9\u7684\u5de6\u5b50\u6811 \u524d\u5e8f\u904d\u5386 Pre-Order Traversal \u84dd\u8272\u5706\u5708\u5904 \u5df2\u8bbf\u95ee\u5b8c\u5de6\u5b50\u6811\uff0c\u5373\u5c06\u8bbf\u95ee\u53f3\u5b50\u6811 \u4e2d\u5e8f\u904d\u5386 In-Order Traversal \u7d2b\u8272\u5706\u5708\u5904 \u5df2\u8bbf\u95ee\u5b8c\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\uff0c\u5373\u5c06\u8fd4\u56de \u540e\u5e8f\u904d\u5386 Post-Order Traversal"},{"location":"chapter_tree/binary_tree_traversal/#_3","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree_dfs.java<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.add(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.add(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.add(root.val);\n}\n</code></pre> binary_tree_dfs.cpp<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nvec.push_back(root-&gt;val);\npreOrder(root-&gt;left);\npreOrder(root-&gt;right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root-&gt;left);\nvec.push_back(root-&gt;val);\ninOrder(root-&gt;right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root-&gt;left);\npostOrder(root-&gt;right);\nvec.push_back(root-&gt;val);\n}\n</code></pre> binary_tree_dfs.py<pre><code>\"\"\" \u524d\u5e8f\u904d\u5386 \"\"\"\ndef pre_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nres.append(root.val)\npre_order(root=root.left)\npre_order(root=root.right)\n\"\"\" \u4e2d\u5e8f\u904d\u5386 \"\"\"\ndef in_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\nin_order(root=root.left)\nres.append(root.val)\nin_order(root=root.right)\n\"\"\" \u540e\u5e8f\u904d\u5386 \"\"\"\ndef post_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npost_order(root=root.left)\npost_order(root=root.right)\nres.append(root.val)\n</code></pre> binary_tree_dfs.go<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunc preOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nnums = append(nums, node.Val)\npreOrder(node.Left)\npreOrder(node.Right)\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunc inOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(node.Left)\nnums = append(nums, node.Val)\ninOrder(node.Right)\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunc postOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(node.Left)\npostOrder(node.Right)\nnums = append(nums, node.Val)\n}\n</code></pre> binary_tree_dfs.js<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunction preOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.push(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunction inOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.push(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunction postOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.push(root.val);\n}\n</code></pre> binary_tree_dfs.ts<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunction preOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.push(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunction inOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.push(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunction postOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.push(root.val);\n}\n</code></pre> binary_tree_dfs.c<pre><code>[class]{}-[func]{preOrder}\n[class]{}-[func]{inOrder}\n[class]{}-[func]{postOrder}\n</code></pre> binary_tree_dfs.cs<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.Add(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.Add(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.Add(root.val);\n}\n</code></pre> binary_tree_dfs.swift<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunc preOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.append(root.val)\npreOrder(root: root.left)\npreOrder(root: root.right)\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunc inOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root: root.left)\nlist.append(root.val)\ninOrder(root: root.right)\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunc postOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root: root.left)\npostOrder(root: root.right)\nlist.append(root.val)\n}\n</code></pre> binary_tree_dfs.zig<pre><code>// \u524d\u5e8f\u904d\u5386\nfn preOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\ntry list.append(root.?.val);\ntry preOrder(T, root.?.left);\ntry preOrder(T, root.?.right);\n}\n// \u4e2d\u5e8f\u904d\u5386\nfn inOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ntry inOrder(T, root.?.left);\ntry list.append(root.?.val);\ntry inOrder(T, root.?.right);\n}\n// \u540e\u5e8f\u904d\u5386\nfn postOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\ntry postOrder(T, root.?.left);\ntry postOrder(T, root.?.right);\ntry list.append(root.?.val);\n}\n</code></pre> <p>Note</p> <p>\u4f7f\u7528\u5faa\u73af\u4e00\u6837\u53ef\u4ee5\u5b9e\u73b0\u524d\u3001\u4e2d\u3001\u540e\u5e8f\u904d\u5386\uff0c\u4f46\u4ee3\u7801\u76f8\u5bf9\u7e41\u7410\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u81ea\u884c\u5b9e\u73b0\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#_4","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u6240\u6709\u7ed3\u70b9\u88ab\u8bbf\u95ee\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d \\(n\\) \u4e3a\u7ed3\u70b9\u6570\u91cf\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a\u5f53\u6811\u9000\u5316\u4e3a\u94fe\u8868\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u9012\u5f52\u6df1\u5ea6\u8fbe\u5230 \\(n\\) \uff0c\u7cfb\u7edf\u4f7f\u7528 \\(O(n)\\) \u6808\u5e27\u7a7a\u95f4\u3002</p>"},{"location":"chapter_tree/summary/","title":"7.5. \u5c0f\u7ed3","text":"<ul> <li>\u4e8c\u53c9\u6811\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u7740\u201c\u4e00\u5206\u4e3a\u4e8c\u201d\u7684\u5206\u6cbb\u903b\u8f91\u3002\u4e8c\u53c9\u6811\u7684\u7ed3\u70b9\u5305\u542b\u300c\u503c\u300d\u548c\u4e24\u4e2a\u300c\u6307\u9488\u300d\uff0c\u5206\u522b\u6307\u5411\u5de6\u5b50\u7ed3\u70b9\u548c\u53f3\u5b50\u7ed3\u70b9\u3002</li> <li>\u9009\u5b9a\u4e8c\u53c9\u6811\u4e2d\u67d0\u7ed3\u70b9\uff0c\u5c06\u5176\u5de6\uff08\u53f3\uff09\u5b50\u7ed3\u70b9\u4ee5\u4e0b\u5f62\u6210\u7684\u6811\u79f0\u4e3a\u5de6\uff08\u53f3\uff09\u5b50\u6811\u3002</li> <li>\u4e8c\u53c9\u6811\u7684\u672f\u8bed\u8f83\u591a\uff0c\u5305\u62ec\u6839\u7ed3\u70b9\u3001\u53f6\u7ed3\u70b9\u3001\u5c42\u3001\u5ea6\u3001\u8fb9\u3001\u9ad8\u5ea6\u3001\u6df1\u5ea6\u7b49\u3002</li> <li>\u4e8c\u53c9\u6811\u7684\u521d\u59cb\u5316\u3001\u7ed3\u70b9\u63d2\u5165\u3001\u7ed3\u70b9\u5220\u9664\u64cd\u4f5c\u4e0e\u94fe\u8868\u7684\u64cd\u4f5c\u65b9\u6cd5\u7c7b\u4f3c\u3002</li> <li>\u5e38\u89c1\u7684\u4e8c\u53c9\u6811\u7c7b\u578b\u5305\u62ec\u5b8c\u7f8e\u4e8c\u53c9\u6811\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\u3001\u5b8c\u6ee1\u4e8c\u53c9\u6811\u3001\u5e73\u8861\u4e8c\u53c9\u6811\u3002\u5b8c\u7f8e\u4e8c\u53c9\u6811\u662f\u7406\u60f3\u72b6\u6001\uff0c\u94fe\u8868\u5219\u662f\u9000\u5316\u540e\u7684\u6700\u5dee\u72b6\u6001\u3002</li> <li> <p>\u4e8c\u53c9\u6811\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u8868\u793a\uff0c\u5177\u4f53\u505a\u6cd5\u662f\u5c06\u7ed3\u70b9\u503c\u548c\u7a7a\u4f4d\u6309\u7167\u5c42\u5e8f\u904d\u5386\u7684\u987a\u5e8f\u6392\u5217\uff0c\u5e76\u57fa\u4e8e\u7236\u7ed3\u70b9\u548c\u5b50\u7ed3\u70b9\u4e4b\u95f4\u7684\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u5b9e\u73b0\u6307\u9488\u3002</p> </li> <li> <p>\u4e8c\u53c9\u6811\u5c42\u5e8f\u904d\u5386\u662f\u4e00\u79cd\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\uff0c\u4f53\u73b0\u7740\u201c\u4e00\u5708\u4e00\u5708\u5411\u5916\u201d\u7684\u5c42\u8fdb\u5f0f\u904d\u5386\u65b9\u5f0f\uff0c\u901a\u5e38\u501f\u52a9\u961f\u5217\u6765\u5b9e\u73b0\u3002</p> </li> <li>\u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386\u662f\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\uff0c\u4f53\u73b0\u7740\u201c\u8d70\u5230\u5934\u3001\u518d\u56de\u5934\u7ee7\u7eed\u201d\u7684\u56de\u6eaf\u904d\u5386\u65b9\u5f0f\uff0c\u901a\u5e38\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\u3002</li> <li>\u4e8c\u53c9\u641c\u7d22\u6811\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u5143\u7d20\u67e5\u627e\u6570\u636e\u7ed3\u6784\uff0c\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u4e3a \\(O(\\log n)\\) \u3002\u4e8c\u53c9\u641c\u7d22\u6811\u9000\u5316\u4e3a\u94fe\u8868\u540e\uff0c\u5404\u9879\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \uff0c\u56e0\u6b64\u5982\u4f55\u907f\u514d\u9000\u5316\u662f\u975e\u5e38\u91cd\u8981\u7684\u8bfe\u9898\u3002</li> <li>AVL \u6811\u53c8\u79f0\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811\uff0c\u5176\u901a\u8fc7\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u5f97\u5728\u4e0d\u65ad\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u4ecd\u7136\u53ef\u4ee5\u4fdd\u6301\u4e8c\u53c9\u6811\u7684\u5e73\u8861\uff08\u4e0d\u9000\u5316\uff09\u3002</li> <li>AVL \u6811\u7684\u65cb\u8f6c\u64cd\u4f5c\u5206\u4e3a\u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u3001\u5148\u5de6\u65cb\u540e\u53f3\u65cb\u3002\u5728\u63d2\u5165\u6216\u5220\u9664\u7ed3\u70b9\u540e\uff0cAVL \u6811\u4f1a\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6811\u6062\u590d\u5e73\u8861\u3002</li> </ul>"}]}
\ No newline at end of file
+{"config":{"lang":["ja"],"separator":"[\\s\\-\uff0c\u3002]+","pipeline":["stemmer"]},"docs":[{"location":"","title":"Home","text":"<p>  \u300a Hello\uff0c\u7b97\u6cd5 \u300b  <p> \u52a8\u753b\u56fe\u89e3\u3001\u80fd\u8fd0\u884c\u3001\u53ef\u63d0\u95ee\u7684\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5feb\u901f\u5165\u95e8\u6559\u7a0b </p> <p> </p> @Krahets </p>  \u300c\u5168\u4e66\u52a8\u753b\u56fe\u89e3\u300d  <p> \u5185\u5bb9\u6e05\u6670\u6613\u61c2\u3001\u5b66\u4e60\u66f2\u7ebf\u5e73\u6ed1\u7535\u8111\u3001\u5e73\u677f\u3001\u624b\u673a\u5168\u7ec8\u7aef\u9605\u8bfb </p> <p></p> <p><p> \"A picture is worth a thousand words.\" </p> <p> \u201c\u4e00\u56fe\u80dc\u5343\u8a00\u201d </p></p>  \u300c\u4ee3\u7801\u4e00\u952e\u8fd0\u884c\u300d  <p> \u63d0\u4f9b\u5404\u4e2a\u7b97\u6cd5\u4e0e\u6570\u636e\u7ed3\u6784\u7684\u7b80\u6d01\u5b9e\u73b0\u4e0e\u6d4b\u8bd5\u6837\u4f8b\uff0c\u7686\u53ef\u76f4\u63a5\u8fd0\u884c\u652f\u6301 Java, C++, Python, Go, JS, TS, C#, Swift, Zig \u7b49\u8bed\u8a00 </p> <p></p> <p><p> \"Talk is cheap. Show me the code.\" </p> <p> \u201c\u5c11\u5439\u725b\uff0c\u770b\u4ee3\u7801\u201d </p></p>  \u300c\u53ef\u8ba8\u8bba\u4e0e\u63d0\u95ee\u300d  <p> \u9f13\u52b1\u5c0f\u4f19\u4f34\u4eec\u4e92\u5e2e\u4e92\u52a9\u3001\u5171\u540c\u6210\u957f\u63d0\u95ee\u4e0e\u8bc4\u8bba\u4e00\u822c\u80fd\u5728\u4e24\u65e5\u5185\u5f97\u5230\u56de\u590d </p> <p></p> <p><p> \u201c\u8ffd\u98ce\u8d76\u6708\u83ab\u505c\u7559\uff0c\u5e73\u829c\u5c3d\u5904\u662f\u6625\u5c71\u201d </p> <p> \u4e00\u8d77\u52a0\u6cb9\uff01 </p></p>  \u63a8\u8350\u8bed  <p>Quote</p> <p>\u201c\u5982\u679c\u6211\u5f53\u5e74\u5b66\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u65f6\u5019\u6709\u300aHello \u7b97\u6cd5\u300b\uff0c\u5b66\u8d77\u6765\u5e94\u8be5\u4f1a\u7b80\u5355 10 \u500d\uff01\u201d</p> <p>\u2014\u2014 \u674e\u6c90\uff0c\u4e9a\u9a6c\u900a\u8d44\u6df1\u9996\u5e2d\u79d1\u5b66\u5bb6</p> <p>Quote</p> <p>\u201c\u4e00\u672c\u901a\u4fd7\u6613\u61c2\u7684\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5165\u95e8\u4e66\uff0c\u5f15\u5bfc\u8bfb\u8005\u624b\u8111\u5e76\u7528\u5730\u5b66\u4e60\uff0c\u5f3a\u70c8\u63a8\u8350\u7b97\u6cd5\u521d\u5b66\u8005\u9605\u8bfb\u3002\u201d</p> <p>\u2014\u2014 \u9093\u4fca\u8f89\uff0c\u6e05\u534e\u5927\u5b66\u8ba1\u7b97\u673a\u7cfb\u6559\u6388</p>  \u53c2\u4e0e\u5199\u4f5c  <p>\u611f\u8c22\u672c\u5f00\u6e90\u4e66\u7684\u6bcf\u4e00\u4f4d\u64b0\u7a3f\u4eba\uff0c\u662f\u4ed6\u4eec\u7684\u65e0\u79c1\u5949\u732e\u8ba9\u8fd9\u672c\u4e66\u53d8\u5f97\u66f4\u597d\uff0c\u4ed6\u4eec\u662f\uff08\u987a\u5e8f\u7531 contrib.rocks \u81ea\u52a8\u751f\u6210\uff09\uff1a</p> <p> </p> <p>\u672c\u5f00\u6e90\u9879\u76ee\u7684\u7ef4\u62a4\u4e0e\u66f4\u65b0\u79bb\u4e0d\u5f00\u5404\u4f4d Reviewers \u7684\u8f9b\u52e4\u4ed8\u51fa\uff0c\u611f\u8c22\u4ed6\u4eec\uff08\u6309\u9996\u5b57\u6bcd\u987a\u5e8f\uff09\uff1a</p> justin-tseJS / TS krahetsJava / Python nuomi1Swift ReanonGo / C sjinzhRust / Zig"},{"location":"chapter_array_and_linkedlist/array/","title":"4.1. \u6570\u7ec4","text":"<p>\u300c\u6570\u7ec4 Array\u300d\u662f\u4e00\u79cd\u5c06 \u76f8\u540c\u7c7b\u578b\u5143\u7d20 \u5b58\u50a8\u5728 \u8fde\u7eed\u5185\u5b58\u7a7a\u95f4 \u7684\u6570\u636e\u7ed3\u6784\uff0c\u5c06\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u4f4d\u7f6e\u79f0\u4e3a\u5143\u7d20\u7684\u300c\u7d22\u5f15 Index\u300d\u3002</p> <p></p> <p> Fig. \u6570\u7ec4\u5b9a\u4e49\u4e0e\u5b58\u50a8\u65b9\u5f0f </p> <p>Note</p> <p>\u89c2\u5bdf\u4e0a\u56fe\uff0c\u6211\u4eec\u53d1\u73b0 \u6570\u7ec4\u9996\u5143\u7d20\u7684\u7d22\u5f15\u4e3a \\(0\\) \u3002\u4f60\u53ef\u80fd\u4f1a\u60f3\uff0c\u8fd9\u5e76\u4e0d\u7b26\u5408\u65e5\u5e38\u4e60\u60ef\uff0c\u9996\u4e2a\u5143\u7d20\u7684\u7d22\u5f15\u4e3a\u4ec0\u4e48\u4e0d\u662f \\(1\\) \u5462\uff0c\u8fd9\u4e0d\u662f\u66f4\u52a0\u81ea\u7136\u5417\uff1f\u6211\u8ba4\u540c\u4f60\u7684\u60f3\u6cd5\uff0c\u4f46\u8bf7\u5148\u8bb0\u4f4f\u8fd9\u4e2a\u8bbe\u5b9a\uff0c\u540e\u9762\u8bb2\u5185\u5b58\u5730\u5740\u8ba1\u7b97\u65f6\uff0c\u6211\u4f1a\u5c1d\u8bd5\u89e3\u7b54\u8fd9\u4e2a\u95ee\u9898\u3002</p> <p>\u6570\u7ec4\u521d\u59cb\u5316\u3002\u4e00\u822c\u4f1a\u7528\u5230\u65e0\u521d\u59cb\u503c\u3001\u7ed9\u5b9a\u521d\u59cb\u503c\u4e24\u79cd\u5199\u6cd5\uff0c\u53ef\u6839\u636e\u9700\u6c42\u9009\u53d6\u3002\u5728\u4e0d\u7ed9\u5b9a\u521d\u59cb\u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u4e00\u822c\u6240\u6709\u5143\u7d20\u4f1a\u88ab\u521d\u59cb\u5316\u4e3a\u9ed8\u8ba4\u503c \\(0\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nint[] arr = new int[5]; // { 0, 0, 0, 0, 0 }\nint[] nums = { 1, 3, 2, 5, 4 };\n</code></pre> array.cpp<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\n// \u5b58\u50a8\u5728\u6808\u4e0a\nint arr[5];\nint nums[5] { 1, 3, 2, 5, 4 };\n// \u5b58\u50a8\u5728\u5806\u4e0a\nint* arr1 = new int[5];\nint* nums1 = new int[5] { 1, 3, 2, 5, 4 };\n</code></pre> array.py<pre><code>\"\"\" \u521d\u59cb\u5316\u6570\u7ec4 \"\"\"\narr = [0] * 5  # [ 0, 0, 0, 0, 0 ]\nnums = [1, 3, 2, 5, 4]  \n</code></pre> array.go<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nvar arr [5]int\n// \u5728 Go \u4e2d\uff0c\u6307\u5b9a\u957f\u5ea6\u65f6\uff08[5]int\uff09\u4e3a\u6570\u7ec4\uff0c\u4e0d\u6307\u5b9a\u957f\u5ea6\u65f6\uff08[]int\uff09\u4e3a\u5207\u7247\n// \u7531\u4e8e Go \u7684\u6570\u7ec4\u88ab\u8bbe\u8ba1\u4e3a\u5728\u7f16\u8bd1\u671f\u786e\u5b9a\u957f\u5ea6\uff0c\u56e0\u6b64\u53ea\u80fd\u4f7f\u7528\u5e38\u91cf\u6765\u6307\u5b9a\u957f\u5ea6\n// \u4e3a\u4e86\u65b9\u4fbf\u5b9e\u73b0\u6269\u5bb9 extend() \u65b9\u6cd5\uff0c\u4ee5\u4e0b\u5c06\u5207\u7247\uff08Slice\uff09\u770b\u4f5c\u6570\u7ec4\uff08Array\uff09\nnums := []int{1, 3, 2, 5, 4}\n</code></pre> array.js<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nvar arr = new Array(5).fill(0);\nvar nums = [1, 3, 2, 5, 4];\n</code></pre> array.ts<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nlet arr: number[] = new Array(5).fill(0);\nlet nums: number[] = [1, 3, 2, 5, 4];\n</code></pre> array.c<pre><code>int arr[5] = { 0 }; // { 0, 0, 0, 0, 0 }\nint nums[5] = { 1, 3, 2, 5, 4 };\n</code></pre> array.cs<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nint[] arr = new int[5]; // { 0, 0, 0, 0, 0 }\nint[] nums = { 1, 3, 2, 5, 4 };\n</code></pre> array.swift<pre><code>/* \u521d\u59cb\u5316\u6570\u7ec4 */\nlet arr = Array(repeating: 0, count: 5) // [0, 0, 0, 0, 0]\nlet nums = [1, 3, 2, 5, 4]\n</code></pre> array.zig<pre><code>// \u521d\u59cb\u5316\u6570\u7ec4\nvar arr = [_]i32{0} ** 5; // { 0, 0, 0, 0, 0 }\nvar nums = [_]i32{ 1, 3, 2, 5, 4 };\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#411","title":"4.1.1. \u6570\u7ec4\u4f18\u70b9","text":"<p>\u5728\u6570\u7ec4\u4e2d\u8bbf\u95ee\u5143\u7d20\u975e\u5e38\u9ad8\u6548\u3002\u8fd9\u662f\u56e0\u4e3a\u5728\u6570\u7ec4\u4e2d\uff0c\u8ba1\u7b97\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\u975e\u5e38\u5bb9\u6613\u3002\u7ed9\u5b9a\u6570\u7ec4\u9996\u4e2a\u5143\u7d20\u7684\u5730\u5740\u3001\u548c\u4e00\u4e2a\u5143\u7d20\u7684\u7d22\u5f15\uff0c\u5229\u7528\u4ee5\u4e0b\u516c\u5f0f\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u5f97\u5230\u8be5\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\uff0c\u4ece\u800c\u76f4\u63a5\u8bbf\u95ee\u6b64\u5143\u7d20\u3002</p> <p></p> <p> Fig. \u6570\u7ec4\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\u8ba1\u7b97 </p> <pre><code>// \u5143\u7d20\u5185\u5b58\u5730\u5740 = \u6570\u7ec4\u5185\u5b58\u5730\u5740 + \u5143\u7d20\u957f\u5ea6 * \u5143\u7d20\u7d22\u5f15\nelementAddr = firtstElementAddr + elementLength * elementIndex\n</code></pre> <p>\u4e3a\u4ec0\u4e48\u6570\u7ec4\u5143\u7d20\u7d22\u5f15\u4ece 0 \u5f00\u59cb\u7f16\u53f7\uff1f \u6839\u636e\u5730\u5740\u8ba1\u7b97\u516c\u5f0f\uff0c\u7d22\u5f15\u672c\u8d28\u4e0a\u8868\u793a\u7684\u662f\u5185\u5b58\u5730\u5740\u504f\u79fb\u91cf\uff0c\u9996\u4e2a\u5143\u7d20\u7684\u5730\u5740\u504f\u79fb\u91cf\u662f \\(0\\) \uff0c\u90a3\u4e48\u7d22\u5f15\u662f \\(0\\) \u4e5f\u5c31\u5f88\u81ea\u7136\u4e86\u3002</p> <p>\u8bbf\u95ee\u5143\u7d20\u7684\u9ad8\u6548\u6027\u5e26\u6765\u4e86\u8bb8\u591a\u4fbf\u5229\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u5185\u968f\u673a\u83b7\u53d6\u4e00\u4e2a\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int[] nums) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = ThreadLocalRandom.current().\nnextInt(0, nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.cpp<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int* nums, int size) {\n// \u5728\u533a\u95f4 [0, size) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = rand() % size;\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.py<pre><code>\"\"\" \u968f\u673a\u8bbf\u95ee\u5143\u7d20 \"\"\"\ndef random_access(nums):\n# \u5728\u533a\u95f4 [0, len(nums)-1] \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nrandom_index = random.randint(0, len(nums) - 1)\n# \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nrandom_num = nums[random_index]\nreturn random_num\n</code></pre> array.go<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunc randomAccess(nums []int) (randomNum int) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nrandomIndex := rand.Intn(len(nums))\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nrandomNum = nums[randomIndex]\nreturn\n}\n</code></pre> array.js<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunction randomAccess(nums) {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nconst random_index = Math.floor(Math.random() * nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nconst random_num = nums[random_index];\nreturn random_num;\n}\n</code></pre> array.ts<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunction randomAccess(nums: number[]): number {\n// \u5728\u533a\u95f4 [0, nums.length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nconst random_index = Math.floor(Math.random() * nums.length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nconst random_num = nums[random_index];\nreturn random_num;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{randomAccess}\n</code></pre> array.cs<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nint randomAccess(int[] nums)\n{\nRandom random = new();\n// \u5728\u533a\u95f4 [0, nums.Length) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nint randomIndex = random.Next(nums.Length);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nint randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre> array.swift<pre><code>/* \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20 */\nfunc randomAccess(nums: [Int]) -&gt; Int {\n// \u5728\u533a\u95f4 [0, nums.count) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6570\u5b57\nlet randomIndex = nums.indices.randomElement()!\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nlet randomNum = nums[randomIndex]\nreturn randomNum\n}\n</code></pre> array.zig<pre><code>// \u968f\u673a\u8fd4\u56de\u4e00\u4e2a\u6570\u7ec4\u5143\u7d20\nfn randomAccess(nums: []i32) i32 {\n// \u5728\u533a\u95f4 [0, nums.len) \u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u4e2a\u6574\u6570\nvar randomIndex = std.crypto.random.intRangeLessThan(usize, 0, nums.len);\n// \u83b7\u53d6\u5e76\u8fd4\u56de\u968f\u673a\u5143\u7d20\nvar randomNum = nums[randomIndex];\nreturn randomNum;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#412","title":"4.1.2. \u6570\u7ec4\u7f3a\u70b9","text":"<p>\u6570\u7ec4\u5728\u521d\u59cb\u5316\u540e\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u7531\u4e8e\u7cfb\u7edf\u65e0\u6cd5\u4fdd\u8bc1\u6570\u7ec4\u4e4b\u540e\u7684\u5185\u5b58\u7a7a\u95f4\u662f\u53ef\u7528\u7684\uff0c\u56e0\u6b64\u6570\u7ec4\u957f\u5ea6\u65e0\u6cd5\u6269\u5c55\u3002\u800c\u82e5\u5e0c\u671b\u6269\u5bb9\u6570\u7ec4\uff0c\u5219\u9700\u65b0\u5efa\u4e00\u4e2a\u6570\u7ec4\uff0c\u7136\u540e\u628a\u539f\u6570\u7ec4\u5143\u7d20\u4f9d\u6b21\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\uff0c\u5728\u6570\u7ec4\u5f88\u5927\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd9\u662f\u975e\u5e38\u8017\u65f6\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint[] extend(int[] nums, int enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint[] res = new int[nums.length + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.cpp<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint* extend(int* nums, int size, int enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint* res = new int[size + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; size; i++) {\nres[i] = nums[i];\n}\n// \u91ca\u653e\u5185\u5b58\ndelete[] nums;\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.py<pre><code>\"\"\" \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 \"\"\"\n# \u8bf7\u6ce8\u610f\uff0cPython \u7684 list \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n# \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 list \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\ndef extend(nums, enlarge):\n# \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nres = [0] * (len(nums) + enlarge)\n# \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i in range(len(nums)):\nres[i] = nums[i]\n# \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n</code></pre> array.go<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nfunc extend(nums []int, enlarge int) []int {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nres := make([]int, len(nums)+enlarge)\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i, num := range nums {\nres[i] = num\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n}\n</code></pre> array.js<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\n// \u8bf7\u6ce8\u610f\uff0cJavaScript \u7684 Array \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n// \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 Array \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\nfunction extend(nums, enlarge) {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nconst res = new Array(nums.length + enlarge).fill(0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.ts<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\n// \u8bf7\u6ce8\u610f\uff0cTypeScript \u7684 Array \u662f\u52a8\u6001\u6570\u7ec4\uff0c\u53ef\u4ee5\u76f4\u63a5\u6269\u5c55\n// \u4e3a\u4e86\u65b9\u4fbf\u5b66\u4e60\uff0c\u672c\u51fd\u6570\u5c06 Array \u770b\u4f5c\u662f\u957f\u5ea6\u4e0d\u53ef\u53d8\u7684\u6570\u7ec4\nfunction extend(nums: number[], enlarge: number): number[] {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nconst res = new Array(nums.length + enlarge).fill(0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{extend}\n</code></pre> array.cs<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nint[] extend(int[] nums, int enlarge)\n{\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nint[] res = new int[nums.Length + enlarge];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nres[i] = nums[i];\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> array.swift<pre><code>/* \u6269\u5c55\u6570\u7ec4\u957f\u5ea6 */\nfunc extend(nums: [Int], enlarge: Int) -&gt; [Int] {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nvar res = Array(repeating: 0, count: nums.count + enlarge)\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor i in nums.indices {\nres[i] = nums[i]\n}\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res\n}\n</code></pre> array.zig<pre><code>// \u6269\u5c55\u6570\u7ec4\u957f\u5ea6\nfn extend(mem_allocator: std.mem.Allocator, nums: []i32, enlarge: usize) ![]i32 {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u6269\u5c55\u957f\u5ea6\u540e\u7684\u6570\u7ec4\nvar res = try mem_allocator.alloc(i32, nums.len + enlarge);\nstd.mem.set(i32, res, 0);\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nstd.mem.copy(i32, res, nums);\n// \u8fd4\u56de\u6269\u5c55\u540e\u7684\u65b0\u6570\u7ec4\nreturn res;\n}\n</code></pre> <p>\u6570\u7ec4\u4e2d\u63d2\u5165\u6216\u5220\u9664\u5143\u7d20\u6548\u7387\u4f4e\u4e0b\u3002\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5728\u6570\u7ec4\u4e2d\u95f4\u67d0\u4f4d\u7f6e\u63d2\u5165\u4e00\u4e2a\u5143\u7d20\uff0c\u7531\u4e8e\u6570\u7ec4\u5143\u7d20\u5728\u5185\u5b58\u4e2d\u662f\u201c\u7d27\u6328\u7740\u7684\u201d\uff0c\u5b83\u4eec\u4e4b\u95f4\u6ca1\u6709\u7a7a\u95f4\u518d\u653e\u4efb\u4f55\u6570\u636e\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4e0d\u5f97\u4e0d\u5c06\u6b64\u7d22\u5f15\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u7136\u540e\u518d\u628a\u5143\u7d20\u8d4b\u503c\u7ed9\u8be5\u7d22\u5f15\u3002\u5220\u9664\u5143\u7d20\u4e5f\u662f\u7c7b\u4f3c\uff0c\u9700\u8981\u628a\u6b64\u7d22\u5f15\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\u3002\u603b\u4f53\u770b\u6709\u4ee5\u4e0b\u7f3a\u70b9\uff1a</p> <ul> <li>\u65f6\u95f4\u590d\u6742\u5ea6\u9ad8\uff1a\u6570\u7ec4\u7684\u63d2\u5165\u548c\u5220\u9664\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3a \\(O(N)\\) \uff0c\u5176\u4e2d \\(N\\) \u4e3a\u6570\u7ec4\u957f\u5ea6\u3002</li> <li>\u4e22\u5931\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u7684\u957f\u5ea6\u4e0d\u53ef\u53d8\uff0c\u56e0\u6b64\u5728\u63d2\u5165\u5143\u7d20\u540e\uff0c\u8d85\u51fa\u6570\u7ec4\u957f\u5ea6\u8303\u56f4\u7684\u5143\u7d20\u4f1a\u88ab\u4e22\u5931\u3002</li> <li>\u5185\u5b58\u6d6a\u8d39\uff1a\u6211\u4eec\u4e00\u822c\u4f1a\u521d\u59cb\u5316\u4e00\u4e2a\u6bd4\u8f83\u957f\u7684\u6570\u7ec4\uff0c\u53ea\u7528\u524d\u9762\u4e00\u90e8\u5206\uff0c\u8fd9\u6837\u5728\u63d2\u5165\u6570\u636e\u65f6\uff0c\u4e22\u5931\u7684\u672b\u5c3e\u5143\u7d20\u90fd\u662f\u6211\u4eec\u4e0d\u5173\u5fc3\u7684\uff0c\u4f46\u8fd9\u6837\u505a\u540c\u65f6\u4e5f\u4f1a\u9020\u6210\u5185\u5b58\u7a7a\u95f4\u7684\u6d6a\u8d39\u3002</li> </ul> <p></p> <p> Fig. \u5728\u6570\u7ec4\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int[] nums, int num, int index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int[] nums, int index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.cpp<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int* nums, int size, int num, int index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = size - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int* nums, int size, int index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; size - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.py<pre><code>\"\"\" \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num \"\"\"\ndef insert(nums, num, index):\n# \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i in range(len(nums) - 1, index, -1):\nnums[i] = nums[i - 1]\n# \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n\"\"\" \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 \"\"\"\ndef remove(nums, index):\n# \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i in range(index, len(nums) - 1):\nnums[i] = nums[i + 1]\n</code></pre> array.go<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunc insert(nums []int, num int, index int) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i := len(nums) - 1; i &gt; index; i-- {\nnums[i] = nums[i-1]\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunc remove(nums []int, index int) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i := index; i &lt; len(nums)-1; i++ {\nnums[i] = nums[i+1]\n}\n}\n</code></pre> array.js<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunction insert(nums, num, index) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunction remove(nums, index) {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.ts<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunction insert(nums: number[], num: number, index: number): void {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let i = nums.length - 1; i &gt; index; i--) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunction remove(nums: number[], index: number): void {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let i = index; i &lt; nums.length - 1; i++) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{insert}\n[class]{}-[func]{removeItem}\n</code></pre> array.cs<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nvoid insert(int[] nums, int num, int index)\n{\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int i = nums.Length - 1; i &gt; index; i--)\n{\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nvoid remove(int[] nums, int index)\n{\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int i = index; i &lt; nums.Length - 1; i++)\n{\nnums[i] = nums[i + 1];\n}\n}\n</code></pre> array.swift<pre><code>/* \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num */\nfunc insert(nums: inout [Int], num: Int, index: Int) {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor i in sequence(first: nums.count - 1, next: { $0 &gt; index + 1 ? $0 - 1 : nil }) {\nnums[i] = nums[i - 1]\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num\n}\n/* \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20 */\nfunc remove(nums: inout [Int], index: Int) {\nlet count = nums.count\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor i in sequence(first: index, next: { $0 &lt; count - 1 - 1 ? $0 + 1 : nil }) {\nnums[i] = nums[i + 1]\n}\n}\n</code></pre> array.zig<pre><code>// \u5728\u6570\u7ec4\u7684\u7d22\u5f15 index \u5904\u63d2\u5165\u5143\u7d20 num\nfn insert(nums: []i32, num: i32, index: usize) void {\n// \u628a\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nvar i = nums.len - 1;\nwhile (i &gt; index) : (i -= 1) {\nnums[i] = nums[i - 1];\n}\n// \u5c06 num \u8d4b\u7ed9 index \u5904\u5143\u7d20\nnums[index] = num;\n}\n// \u5220\u9664\u7d22\u5f15 index \u5904\u5143\u7d20\nfn remove(nums: []i32, index: usize) void {\n// \u628a\u7d22\u5f15 index \u4e4b\u540e\u7684\u6240\u6709\u5143\u7d20\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nvar i = index;\nwhile (i &lt; nums.len - 1) : (i += 1) {\nnums[i] = nums[i + 1];\n}\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#413","title":"4.1.3. \u6570\u7ec4\u5e38\u7528\u64cd\u4f5c","text":"<p>\u6570\u7ec4\u904d\u5386\u3002\u4ee5\u4e0b\u4ecb\u7ecd\u4e24\u79cd\u5e38\u7528\u7684\u904d\u5386\u65b9\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int[] nums) {\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (int num : nums) {\ncount++;\n}\n}\n</code></pre> array.cpp<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int* nums, int size) {\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; size; i++) {\ncount++;\n}\n}\n</code></pre> array.py<pre><code>\"\"\" \u904d\u5386\u6570\u7ec4 \"\"\"\ndef traverse(nums):\ncount = 0\n# \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor i in range(len(nums)):\ncount += 1\n# \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor num in nums:\ncount += 1\n</code></pre> array.go<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunc traverse(nums []int) {\ncount := 0\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor i := 0; i &lt; len(nums); i++ {\ncount++\n}\ncount = 0\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor range nums {\ncount++\n}\n}\n</code></pre> array.js<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunction traverse(nums) {\nlet count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (let num of nums) {\ncount += 1;\n}\n}\n</code></pre> array.ts<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunction traverse(nums: number[]): void {\nlet count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (let num of nums) {\ncount += 1;\n}\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{traverse}\n</code></pre> array.cs<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nvoid traverse(int[] nums)\n{\nint count = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\ncount++;\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nforeach (int num in nums)\n{\ncount++;\n}\n}\n</code></pre> array.swift<pre><code>/* \u904d\u5386\u6570\u7ec4 */\nfunc traverse(nums: [Int]) {\nvar count = 0\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nfor _ in nums.indices {\ncount += 1\n}\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor _ in nums {\ncount += 1\n}\n}\n</code></pre> array.zig<pre><code>// \u904d\u5386\u6570\u7ec4\nfn traverse(nums: []i32) void {\nvar count: i32 = 0;\n// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u6570\u7ec4\nvar i: i32 = 0;\nwhile (i &lt; nums.len) : (i += 1) {\ncount += 1;\n}\ncount = 0;\n// \u76f4\u63a5\u904d\u5386\u6570\u7ec4\nfor (nums) |_| {\ncount += 1;\n}\n}\n</code></pre> <p>\u6570\u7ec4\u67e5\u627e\u3002\u901a\u8fc7\u904d\u5386\u6570\u7ec4\uff0c\u67e5\u627e\u6570\u7ec4\u5185\u7684\u6307\u5b9a\u5143\u7d20\uff0c\u5e76\u8f93\u51fa\u5bf9\u5e94\u7d22\u5f15\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array.java<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int[] nums, int target) {\nfor (int i = 0; i &lt; nums.length; i++) {\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.cpp<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int* nums, int size, int target) {\nfor (int i = 0; i &lt; size; i++) {\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.py<pre><code>\"\"\" \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 \"\"\"\ndef find(nums, target):\nfor i in range(len(nums)):\nif nums[i] == target:\nreturn i\nreturn -1\n</code></pre> array.go<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunc find(nums []int, target int) (index int) {\nindex = -1\nfor i := 0; i &lt; len(nums); i++ {\nif nums[i] == target {\nindex = i\nbreak\n}\n}\nreturn\n}\n</code></pre> array.js<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunction find(nums, target) {\nfor (let i = 0; i &lt; nums.length; i++) {\nif (nums[i] == target) return i;\n}\nreturn -1;\n}\n</code></pre> array.ts<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunction find(nums: number[], target: number): number {\nfor (let i = 0; i &lt; nums.length; i++) {\nif (nums[i] === target) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> array.c<pre><code>[class]{}-[func]{find}\n</code></pre> array.cs<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nint find(int[] nums, int target)\n{\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nif (nums[i] == target)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> array.swift<pre><code>/* \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20 */\nfunc find(nums: [Int], target: Int) -&gt; Int {\nfor i in nums.indices {\nif nums[i] == target {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> array.zig<pre><code>// \u5728\u6570\u7ec4\u4e2d\u67e5\u627e\u6307\u5b9a\u5143\u7d20\nfn find(nums: []i32, target: i32) i32 {\nfor (nums) |num, i| {\nif (num == target) return @intCast(i32, i);\n}\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/array/#414","title":"4.1.4. \u6570\u7ec4\u5178\u578b\u5e94\u7528","text":"<p>\u968f\u673a\u8bbf\u95ee\u3002\u5982\u679c\u6211\u4eec\u60f3\u8981\u968f\u673a\u62bd\u53d6\u4e00\u4e9b\u6837\u672c\uff0c\u90a3\u4e48\u53ef\u4ee5\u7528\u6570\u7ec4\u5b58\u50a8\uff0c\u5e76\u751f\u6210\u4e00\u4e2a\u968f\u673a\u5e8f\u5217\uff0c\u6839\u636e\u7d22\u5f15\u5b9e\u73b0\u6837\u672c\u7684\u968f\u673a\u62bd\u53d6\u3002</p> <p>\u4e8c\u5206\u67e5\u627e\u3002\u4f8b\u5982\u524d\u6587\u67e5\u5b57\u5178\u7684\u4f8b\u5b50\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5b57\u5178\u4e2d\u7684\u6240\u6709\u5b57\u6309\u7167\u62fc\u97f3\u987a\u5e8f\u5b58\u50a8\u5728\u6570\u7ec4\u4e2d\uff0c\u7136\u540e\u4f7f\u7528\u4e0e\u65e5\u5e38\u67e5\u7eb8\u8d28\u5b57\u5178\u76f8\u540c\u7684\u201c\u7ffb\u5f00\u4e2d\u95f4\uff0c\u6392\u9664\u4e00\u534a\u201d\u7684\u65b9\u5f0f\uff0c\u6765\u5b9e\u73b0\u4e00\u4e2a\u67e5\u7535\u5b50\u5b57\u5178\u7684\u7b97\u6cd5\u3002</p> <p>\u6df1\u5ea6\u5b66\u4e60\u3002\u795e\u7ecf\u7f51\u7edc\u4e2d\u5927\u91cf\u4f7f\u7528\u4e86\u5411\u91cf\u3001\u77e9\u9635\u3001\u5f20\u91cf\u4e4b\u95f4\u7684\u7ebf\u6027\u4ee3\u6570\u8fd0\u7b97\uff0c\u8fd9\u4e9b\u6570\u636e\u90fd\u662f\u4ee5\u6570\u7ec4\u7684\u5f62\u5f0f\u6784\u5efa\u7684\u3002\u6570\u7ec4\u662f\u795e\u7ecf\u7f51\u7edc\u7f16\u7a0b\u4e2d\u6700\u5e38\u4f7f\u7528\u7684\u6570\u636e\u7ed3\u6784\u3002</p>"},{"location":"chapter_array_and_linkedlist/linked_list/","title":"4.2. \u94fe\u8868","text":"<p>\u5f15\u8a00</p> <p>\u5185\u5b58\u7a7a\u95f4\u662f\u6240\u6709\u7a0b\u5e8f\u7684\u516c\u5171\u8d44\u6e90\uff0c\u6392\u9664\u5df2\u5360\u7528\u7684\u5185\u5b58\uff0c\u7a7a\u95f2\u5185\u5b58\u5f80\u5f80\u662f\u6563\u843d\u5728\u5185\u5b58\u5404\u5904\u7684\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5b58\u50a8\u6570\u7ec4\u9700\u8981\u5185\u5b58\u7a7a\u95f4\u8fde\u7eed\uff0c\u5f53\u6211\u4eec\u9700\u8981\u7533\u8bf7\u4e00\u4e2a\u5f88\u5927\u7684\u6570\u7ec4\u65f6\uff0c\u7cfb\u7edf\u4e0d\u4e00\u5b9a\u5b58\u5728\u8fd9\u4e48\u5927\u7684\u8fde\u7eed\u5185\u5b58\u7a7a\u95f4\u3002\u800c\u94fe\u8868\u5219\u66f4\u52a0\u7075\u6d3b\uff0c\u4e0d\u9700\u8981\u5185\u5b58\u662f\u8fde\u7eed\u7684\uff0c\u53ea\u8981\u5269\u4f59\u5185\u5b58\u7a7a\u95f4\u5927\u5c0f\u591f\u7528\u5373\u53ef\u3002</p> <p>\u300c\u94fe\u8868 Linked List\u300d\u662f\u4e00\u79cd\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20\u90fd\u662f\u5355\u72ec\u7684\u5bf9\u8c61\uff0c\u5404\u4e2a\u5143\u7d20\uff08\u4e00\u822c\u79f0\u4e3a\u7ed3\u70b9\uff09\u4e4b\u95f4\u901a\u8fc7\u6307\u9488\u8fde\u63a5\u3002\u7531\u4e8e\u7ed3\u70b9\u4e2d\u8bb0\u5f55\u4e86\u8fde\u63a5\u5173\u7cfb\uff0c\u56e0\u6b64\u94fe\u8868\u7684\u5b58\u50a8\u65b9\u5f0f\u76f8\u6bd4\u4e8e\u6570\u7ec4\u66f4\u52a0\u7075\u6d3b\uff0c\u7cfb\u7edf\u4e0d\u5fc5\u4fdd\u8bc1\u5185\u5b58\u5730\u5740\u7684\u8fde\u7eed\u6027\u3002</p> <p>\u94fe\u8868\u7684\u300c\u7ed3\u70b9 Node\u300d\u5305\u542b\u4e24\u9879\u6570\u636e\uff0c\u4e00\u662f\u7ed3\u70b9\u300c\u503c Value\u300d\uff0c\u4e8c\u662f\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u300c\u6307\u9488 Pointer\u300d\uff08\u6216\u79f0\u300c\u5f15\u7528 Reference\u300d\uff09\u3002</p> <p></p> <p> Fig. \u94fe\u8868\u5b9a\u4e49\u4e0e\u5b58\u50a8\u65b9\u5f0f </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) { val = x; }  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct ListNode {\nint val;         // \u7ed3\u70b9\u503c\nListNode *next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) : val(x), next(nullptr) {}  // \u6784\u9020\u51fd\u6570\n};\n</code></pre> <pre><code>\"\"\" \u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\" \nclass ListNode:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\ntype ListNode struct {\nVal  int       // \u7ed3\u70b9\u503c\nNext *ListNode // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n// NewListNode \u6784\u9020\u51fd\u6570\uff0c\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u94fe\u8868\nfunc NewListNode(val int) *ListNode {\nreturn &amp;ListNode{\nVal:  val,\nNext: nil,\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nclass ListNode {\nval;\nnext;\nconstructor(val, next) {\nthis.val = (val === undefined ? 0 : val);       // \u7ed3\u70b9\u503c\nthis.next = (next === undefined ? null : next); // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nclass ListNode {\nval: number;\nnext: ListNode | null;\nconstructor(val?: number, next?: ListNode | null) {\nthis.val = val === undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next === undefined ? null : next;  // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode\n{\nint val;         // \u7ed3\u70b9\u503c\nListNode next;   // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\nListNode(int x) =&gt; val = x;  //\u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar next: ListNode? // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\ninit(x: Int) { // \u6784\u9020\u51fd\u6570\nval = x\n}\n}\n</code></pre> <pre><code>// \u94fe\u8868\u7ed3\u70b9\u7c7b\npub fn ListNode(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nval: T = 0, // \u7ed3\u70b9\u503c\nnext: ?*Self = null, // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n// \u6784\u9020\u51fd\u6570\npub fn init(self: *Self, x: i32) void {\nself.val = x;\nself.next = null;\n}\n};\n}\n</code></pre> <p>\u5c3e\u7ed3\u70b9\u6307\u5411\u4ec0\u4e48\uff1f \u6211\u4eec\u4e00\u822c\u5c06\u94fe\u8868\u7684\u6700\u540e\u4e00\u4e2a\u7ed3\u70b9\u79f0\u4e3a\u300c\u5c3e\u7ed3\u70b9\u300d\uff0c\u5176\u6307\u5411\u7684\u662f\u300c\u7a7a\u300d\uff0c\u5728 Java / C++ / Python \u4e2d\u5206\u522b\u8bb0\u4e3a <code>null</code> / <code>nullptr</code> / <code>None</code> \u3002\u5728\u4e0d\u5f15\u8d77\u6b67\u4e49\u4e0b\uff0c\u672c\u4e66\u90fd\u4f7f\u7528 <code>null</code> \u6765\u8868\u793a\u7a7a\u3002</p> <p>\u94fe\u8868\u521d\u59cb\u5316\u65b9\u6cd5\u3002\u5efa\u7acb\u94fe\u8868\u5206\u4e3a\u4e24\u6b65\uff0c\u7b2c\u4e00\u6b65\u662f\u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\u5bf9\u8c61\uff0c\u7b2c\u4e8c\u6b65\u662f\u6784\u5efa\u5f15\u7528\u6307\u5411\u5173\u7cfb\u3002\u5b8c\u6210\u540e\uff0c\u5373\u53ef\u4ee5\u4ece\u94fe\u8868\u7684\u9996\u4e2a\u7ed3\u70b9\uff08\u5373\u5934\u7ed3\u70b9\uff09\u51fa\u53d1\uff0c\u8bbf\u95ee\u5176\u4f59\u6240\u6709\u7684\u7ed3\u70b9\u3002</p> <p>Tip</p> <p>\u6211\u4eec\u901a\u5e38\u5c06\u5934\u7ed3\u70b9\u5f53\u4f5c\u94fe\u8868\u7684\u4ee3\u79f0\uff0c\u4f8b\u5982\u5934\u7ed3\u70b9 <code>head</code> \u548c\u94fe\u8868 <code>head</code> \u5b9e\u9645\u4e0a\u662f\u540c\u4e49\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode n0 = new ListNode(1);\nListNode n1 = new ListNode(3);\nListNode n2 = new ListNode(2);\nListNode n3 = new ListNode(5);\nListNode n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.cpp<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode* n0 = new ListNode(1);\nListNode* n1 = new ListNode(3);\nListNode* n2 = new ListNode(2);\nListNode* n3 = new ListNode(5);\nListNode* n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0-&gt;next = n1;\nn1-&gt;next = n2;\nn2-&gt;next = n3;\nn3-&gt;next = n4;\n</code></pre> linked_list.py<pre><code>\"\"\" \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 \"\"\"\n# \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nn0 = ListNode(1)\nn1 = ListNode(3)\nn2 = ListNode(2)\nn3 = ListNode(5)\nn4 = ListNode(4)\n# \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1\nn1.next = n2\nn2.next = n3\nn3.next = n4\n</code></pre> linked_list.go<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nn0 := NewListNode(1)\nn1 := NewListNode(3)\nn2 := NewListNode(2)\nn3 := NewListNode(5)\nn4 := NewListNode(4)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.Next = n1\nn1.Next = n2\nn2.Next = n3\nn3.Next = n4\n</code></pre> linked_list.js<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nconst n0 = new ListNode(1);\nconst n1 = new ListNode(3);\nconst n2 = new ListNode(2);\nconst n3 = new ListNode(5);\nconst n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.ts<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nconst n0 = new ListNode(1);\nconst n1 = new ListNode(3);\nconst n2 = new ListNode(2);\nconst n3 = new ListNode(5);\nconst n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.c<pre><code>\n</code></pre> linked_list.cs<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nListNode n0 = new ListNode(1);\nListNode n1 = new ListNode(3);\nListNode n2 = new ListNode(2);\nListNode n3 = new ListNode(5);\nListNode n4 = new ListNode(4);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1;\nn1.next = n2;\nn2.next = n3;\nn3.next = n4;\n</code></pre> linked_list.swift<pre><code>/* \u521d\u59cb\u5316\u94fe\u8868 1 -&gt; 3 -&gt; 2 -&gt; 5 -&gt; 4 */\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9\nlet n0 = ListNode(x: 1)\nlet n1 = ListNode(x: 3)\nlet n2 = ListNode(x: 2)\nlet n3 = ListNode(x: 5)\nlet n4 = ListNode(x: 4)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = n1\nn1.next = n2\nn2.next = n3\nn3.next = n4\n</code></pre> linked_list.zig<pre><code>// \u521d\u59cb\u5316\u94fe\u8868\n// \u521d\u59cb\u5316\u5404\u4e2a\u7ed3\u70b9 \nvar n0 = inc.ListNode(i32){.val = 1};\nvar n1 = inc.ListNode(i32){.val = 3};\nvar n2 = inc.ListNode(i32){.val = 2};\nvar n3 = inc.ListNode(i32){.val = 5};\nvar n4 = inc.ListNode(i32){.val = 4};\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\nn0.next = &amp;n1;\nn1.next = &amp;n2;\nn2.next = &amp;n3;\nn3.next = &amp;n4;\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#421","title":"4.2.1. \u94fe\u8868\u4f18\u70b9","text":"<p>\u5728\u94fe\u8868\u4e2d\uff0c\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u7684\u64cd\u4f5c\u6548\u7387\u9ad8\u3002\u4f8b\u5982\uff0c\u5982\u679c\u60f3\u5728\u94fe\u8868\u4e2d\u95f4\u7684\u4e24\u4e2a\u7ed3\u70b9 <code>A</code> , <code>B</code> \u4e4b\u95f4\u63d2\u5165\u4e00\u4e2a\u65b0\u7ed3\u70b9 <code>P</code> \uff0c\u6211\u4eec\u53ea\u9700\u8981\u6539\u53d8\u4e24\u4e2a\u7ed3\u70b9\u6307\u9488\u5373\u53ef\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff0c\u76f8\u6bd4\u6570\u7ec4\u7684\u63d2\u5165\u64cd\u4f5c\u9ad8\u6548\u5f88\u591a\u3002\u5728\u94fe\u8868\u4e2d\u5220\u9664\u67d0\u4e2a\u7ed3\u70b9\u4e5f\u5f88\u65b9\u4fbf\uff0c\u53ea\u9700\u8981\u6539\u53d8\u4e00\u4e2a\u7ed3\u70b9\u6307\u9488\u5373\u53ef\u3002</p> <p></p> <p> Fig. \u5728\u94fe\u8868\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode n0, ListNode P) {\nListNode n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode n0) {\nif (n0.next == null)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode P = n0.next;\nListNode n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode* n0, ListNode* P) {\nListNode* n1 = n0-&gt;next;\nn0-&gt;next = P;\nP-&gt;next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode* n0) {\nif (n0-&gt;next == nullptr)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode* P = n0-&gt;next;\nListNode* n1 = P-&gt;next;\nn0-&gt;next = n1;\n// \u91ca\u653e\u5185\u5b58\ndelete P;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P \"\"\"\ndef insert(n0, P):\nn1 = n0.next\nn0.next = P\nP.next = n1\n\"\"\" \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 \"\"\"\ndef remove(n0):\nif not n0.next:\nreturn\n# n0 -&gt; P -&gt; n1\nP = n0.next\nn1 = P.next\nn0.next = n1\n</code></pre> linked_list.go<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunc insertNode(n0 *ListNode, P *ListNode) {\nn1 := n0.Next\nn0.Next = P\nP.Next = n1\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc removeNode(n0 *ListNode) {\nif n0.Next == nil {\nreturn\n}\n// n0 -&gt; P -&gt; n1\nP := n0.Next\nn1 := P.Next\nn0.Next = n1\n}\n</code></pre> linked_list.js<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunction insert(n0, P) {\nconst n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction remove(n0) {\nif (!n0.next)\nreturn;\n// n0 -&gt; P -&gt; n1\nconst P = n0.next;\nconst n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.ts<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunction insert(n0: ListNode, P: ListNode): void {\nconst n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction remove(n0: ListNode): void {\nif (!n0.next) {\nreturn;\n}\n// n0 -&gt; P -&gt; n1\nconst P = n0.next;\nconst n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{insertNode}\n[class]{}-[func]{removeNode}\n</code></pre> linked_list.cs<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nvoid insert(ListNode n0, ListNode P)\n{\nListNode? n1 = n0.next;\nn0.next = P;\nP.next = n1;\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nvoid remove(ListNode n0)\n{\nif (n0.next == null)\nreturn;\n// n0 -&gt; P -&gt; n1\nListNode P = n0.next;\nListNode? n1 = P.next;\nn0.next = n1;\n}\n</code></pre> linked_list.swift<pre><code>/* \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P */\nfunc insert(n0: ListNode, P: ListNode) {\nlet n1 = n0.next\nn0.next = P\nP.next = n1\n}\n/* \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc remove(n0: ListNode) {\nif n0.next == nil {\nreturn\n}\n// n0 -&gt; P -&gt; n1\nlet P = n0.next\nlet n1 = P?.next\nn0.next = n1\nP?.next = nil\n}\n</code></pre> linked_list.zig<pre><code>// \u5728\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u63d2\u5165\u7ed3\u70b9 P\nfn insert(n0: ?*inc.ListNode(i32), P: ?*inc.ListNode(i32)) void {\nvar n1 = n0.?.next;\nn0.?.next = P;\nP.?.next = n1;\n}\n// \u5220\u9664\u94fe\u8868\u7684\u7ed3\u70b9 n0 \u4e4b\u540e\u7684\u9996\u4e2a\u7ed3\u70b9\nfn remove(n0: ?*inc.ListNode(i32)) void {\nif (n0.?.next == null) return;\n// n0 -&gt; P -&gt; n1\nvar P = n0.?.next;\nvar n1 = P.?.next;\nn0.?.next = n1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#422","title":"4.2.2. \u94fe\u8868\u7f3a\u70b9","text":"<p>\u94fe\u8868\u8bbf\u95ee\u7ed3\u70b9\u6548\u7387\u4f4e\u3002\u4e0a\u8282\u63d0\u5230\uff0c\u6570\u7ec4\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u4e0b\u8bbf\u95ee\u4efb\u610f\u5143\u7d20\uff0c\u4f46\u94fe\u8868\u65e0\u6cd5\u76f4\u63a5\u8bbf\u95ee\u4efb\u610f\u7ed3\u70b9\u3002\u8fd9\u662f\u56e0\u4e3a\u8ba1\u7b97\u673a\u9700\u8981\u4ece\u5934\u7ed3\u70b9\u51fa\u53d1\uff0c\u4e00\u4e2a\u4e00\u4e2a\u5730\u5411\u540e\u904d\u5386\u5230\u76ee\u6807\u7ed3\u70b9\u3002\u4f8b\u5982\uff0c\u5018\u82e5\u60f3\u8981\u8bbf\u95ee\u94fe\u8868\u7d22\u5f15\u4e3a <code>index</code> \uff08\u5373\u7b2c <code>index + 1</code> \u4e2a\uff09\u7684\u7ed3\u70b9\uff0c\u90a3\u4e48\u9700\u8981 <code>index</code> \u6b21\u8bbf\u95ee\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode access(ListNode head, int index) {\nfor (int i = 0; i &lt; index; i++) {\nif (head == null)\nreturn null;\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode* access(ListNode* head, int index) {\nfor (int i = 0; i &lt; index; i++) {\nif (head == nullptr)\nreturn nullptr;\nhead = head-&gt;next;\n}\nreturn head;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 \"\"\"\ndef access(head, index):\nfor _ in range(index):\nif not head:\nreturn None\nhead = head.next\nreturn head\n</code></pre> linked_list.go<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunc access(head *ListNode, index int) *ListNode {\nfor i := 0; i &lt; index; i++ {\nif head == nil {\nreturn nil\n}\nhead = head.Next\n}\nreturn head\n}\n</code></pre> linked_list.js<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunction access(head, index) {\nfor (let i = 0; i &lt; index; i++) {\nif (!head) {\nreturn null;\n}\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.ts<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunction access(head: ListNode | null, index: number): ListNode | null {\nfor (let i = 0; i &lt; index; i++) {\nif (!head) {\nreturn null;\n}\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{access}\n</code></pre> linked_list.cs<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nListNode? access(ListNode head, int index)\n{\nfor (int i = 0; i &lt; index; i++)\n{\nif (head == null)\nreturn null;\nhead = head.next;\n}\nreturn head;\n}\n</code></pre> linked_list.swift<pre><code>/* \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9 */\nfunc access(head: ListNode, index: Int) -&gt; ListNode? {\nvar head: ListNode? = head\nfor _ in 0 ..&lt; index {\nif head == nil {\nreturn nil\n}\nhead = head?.next\n}\nreturn head\n}\n</code></pre> linked_list.zig<pre><code>// \u8bbf\u95ee\u94fe\u8868\u4e2d\u7d22\u5f15\u4e3a index \u7684\u7ed3\u70b9\nfn access(node: ?*inc.ListNode(i32), index: i32) ?*inc.ListNode(i32) {\nvar head = node;\nvar i: i32 = 0;\nwhile (i &lt; index) : (i += 1) {\nhead = head.?.next;\nif (head == null) return null;\n}\nreturn head;\n}\n</code></pre> <p>\u94fe\u8868\u7684\u5185\u5b58\u5360\u7528\u591a\u3002\u94fe\u8868\u4ee5\u7ed3\u70b9\u4e3a\u5355\u4f4d\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u9664\u4e86\u4fdd\u5b58\u503c\u5916\uff0c\u8fd8\u9700\u989d\u5916\u4fdd\u5b58\u6307\u9488\uff08\u5f15\u7528\uff09\u3002\u8fd9\u610f\u5473\u7740\u540c\u6837\u6570\u636e\u91cf\u4e0b\uff0c\u94fe\u8868\u6bd4\u6570\u7ec4\u9700\u8981\u5360\u7528\u66f4\u591a\u5185\u5b58\u7a7a\u95f4\u3002</p>"},{"location":"chapter_array_and_linkedlist/linked_list/#423","title":"4.2.3. \u94fe\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u904d\u5386\u94fe\u8868\u67e5\u627e\u3002\u904d\u5386\u94fe\u8868\uff0c\u67e5\u627e\u94fe\u8868\u5185\u503c\u4e3a <code>target</code> \u7684\u7ed3\u70b9\uff0c\u8f93\u51fa\u7ed3\u70b9\u5728\u94fe\u8868\u4e2d\u7684\u7d22\u5f15\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linked_list.java<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode head, int target) {\nint index = 0;\nwhile (head != null) {\nif (head.val == target)\nreturn index;\nhead = head.next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.cpp<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode* head, int target) {\nint index = 0;\nwhile (head != nullptr) {\nif (head-&gt;val == target)\nreturn index;\nhead = head-&gt;next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.py<pre><code>\"\"\" \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 \"\"\"\ndef find(head, target):\nindex = 0\nwhile head:\nif head.val == target:\nreturn index\nhead = head.next\nindex += 1\nreturn -1\n</code></pre> linked_list.go<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc findNode(head *ListNode, target int) int {\nindex := 0\nfor head != nil {\nif head.Val == target {\nreturn index\n}\nhead = head.Next\nindex++\n}\nreturn -1\n}\n</code></pre> linked_list.js<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction find(head, target) {\nlet index = 0;\nwhile (head !== null) {\nif (head.val === target) {\nreturn index;\n}\nhead = head.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre> linked_list.ts<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunction find(head: ListNode | null, target: number): number {\nlet index = 0;\nwhile (head !== null) {\nif (head.val === target) {\nreturn index;\n}\nhead = head.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre> linked_list.c<pre><code>[class]{}-[func]{findNode}\n</code></pre> linked_list.cs<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nint find(ListNode head, int target)\n{\nint index = 0;\nwhile (head != null)\n{\nif (head.val == target)\nreturn index;\nhead = head.next;\nindex++;\n}\nreturn -1;\n}\n</code></pre> linked_list.swift<pre><code>/* \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9 */\nfunc find(head: ListNode, target: Int) -&gt; Int {\nvar head: ListNode? = head\nvar index = 0\nwhile head != nil {\nif head?.val == target {\nreturn index\n}\nhead = head?.next\nindex += 1\n}\nreturn -1\n}\n</code></pre> linked_list.zig<pre><code>// \u5728\u94fe\u8868\u4e2d\u67e5\u627e\u503c\u4e3a target \u7684\u9996\u4e2a\u7ed3\u70b9\nfn find(node: ?*inc.ListNode(i32), target: i32) i32 {\nvar head = node;\nvar index: i32 = 0;\nwhile (head != null) {\nif (head.?.val == target) return index;\nhead = head.?.next;\nindex += 1;\n}\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/linked_list/#424","title":"4.2.4. \u5e38\u89c1\u94fe\u8868\u7c7b\u578b","text":"<p>\u5355\u5411\u94fe\u8868\u3002\u5373\u4e0a\u8ff0\u4ecb\u7ecd\u7684\u666e\u901a\u94fe\u8868\u3002\u5355\u5411\u94fe\u8868\u7684\u7ed3\u70b9\u6709\u300c\u503c\u300d\u548c\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u300c\u6307\u9488\uff08\u5f15\u7528\uff09\u300d\u4e24\u9879\u6570\u636e\u3002\u6211\u4eec\u5c06\u9996\u4e2a\u7ed3\u70b9\u79f0\u4e3a\u5934\u7ed3\u70b9\uff0c\u5c3e\u7ed3\u70b9\u6307\u5411 <code>null</code> \u3002</p> <p>\u73af\u5f62\u94fe\u8868\u3002\u5982\u679c\u6211\u4eec\u4ee4\u5355\u5411\u94fe\u8868\u7684\u5c3e\u7ed3\u70b9\u6307\u5411\u5934\u7ed3\u70b9\uff08\u5373\u9996\u5c3e\u76f8\u63a5\uff09\uff0c\u5219\u5f97\u5230\u4e00\u4e2a\u73af\u5f62\u94fe\u8868\u3002\u5728\u73af\u5f62\u94fe\u8868\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u4efb\u610f\u7ed3\u70b9\u770b\u4f5c\u662f\u5934\u7ed3\u70b9\u3002</p> <p>\u53cc\u5411\u94fe\u8868\u3002\u5355\u5411\u94fe\u8868\u4ec5\u8bb0\u5f55\u4e86\u4e00\u4e2a\u65b9\u5411\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\uff0c\u5728\u53cc\u5411\u94fe\u8868\u7684\u7ed3\u70b9\u5b9a\u4e49\u4e2d\uff0c\u540c\u65f6\u6709\u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\uff08\u540e\u7ee7\u7ed3\u70b9\uff09\u548c\u4e0a\u4e00\u7ed3\u70b9\uff08\u524d\u9a71\u7ed3\u70b9\uff09\u7684\u300c\u6307\u9488\uff08\u5f15\u7528\uff09\u300d\u3002\u53cc\u5411\u94fe\u8868\u76f8\u5bf9\u4e8e\u5355\u5411\u94fe\u8868\u66f4\u52a0\u7075\u6d3b\uff0c\u5373\u53ef\u4ee5\u671d\u4e24\u4e2a\u65b9\u5411\u904d\u5386\u94fe\u8868\uff0c\u4f46\u4e5f\u9700\u8981\u5360\u7528\u66f4\u591a\u7684\u5185\u5b58\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) { val = x; }  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct ListNode {\nint val;         // \u7ed3\u70b9\u503c\nListNode *next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode *prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) : val(x), next(nullptr), prev(nullptr) {}  // \u6784\u9020\u51fd\u6570\n};\n</code></pre> <pre><code>\"\"\" \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\" \nclass ListNode:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nself.prev = None  # \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\ntype DoublyListNode struct {\nVal  int             // \u7ed3\u70b9\u503c\nNext *DoublyListNode // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nPrev *DoublyListNode // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n// NewDoublyListNode \u521d\u59cb\u5316\nfunc NewDoublyListNode(val int) *DoublyListNode {\nreturn &amp;DoublyListNode{\nVal:  val,\nNext: nil,\nPrev: nil,\n}\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nval;\nnext;\nprev;\nconstructor(val, next) {\nthis.val = val  ===  undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next  ===  undefined ? null : next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nthis.prev = prev  ===  undefined ? null : prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nval: number;\nnext: ListNode | null;\nprev: ListNode | null;\nconstructor(val?: number, next?: ListNode | null, prev?: ListNode | null) {\nthis.val = val  ===  undefined ? 0 : val;        // \u7ed3\u70b9\u503c\nthis.next = next  ===  undefined ? null : next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nthis.prev = prev  ===  undefined ? null : prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nint val;        // \u7ed3\u70b9\u503c\nListNode next;  // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode prev;  // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nListNode(int x) =&gt; val = x;  // \u6784\u9020\u51fd\u6570\n}\n</code></pre> <pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass ListNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar next: ListNode? // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nvar prev: ListNode? // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\ninit(x: Int) { // \u6784\u9020\u51fd\u6570\nval = x\n}\n}\n</code></pre> <pre><code>// \u53cc\u5411\u94fe\u8868\u7ed3\u70b9\u7c7b\npub fn ListNode(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nval: T = 0, // \u7ed3\u70b9\u503c\nnext: ?*Self = null, // \u6307\u5411\u540e\u7ee7\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\nprev: ?*Self = null, // \u6307\u5411\u524d\u9a71\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n// \u6784\u9020\u51fd\u6570\npub fn init(self: *Self, x: i32) void {\nself.val = x;\nself.next = null;\nself.prev = null;\n}\n};\n}\n</code></pre> <p></p> <p> Fig. \u5e38\u89c1\u94fe\u8868\u7c7b\u578b </p>"},{"location":"chapter_array_and_linkedlist/list/","title":"4.3. \u5217\u8868","text":"<p>\u7531\u4e8e\u957f\u5ea6\u4e0d\u53ef\u53d8\uff0c\u6570\u7ec4\u7684\u5b9e\u7528\u6027\u5927\u5927\u964d\u4f4e\u3002\u5728\u5f88\u591a\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e8b\u5148\u5e76\u4e0d\u77e5\u9053\u4f1a\u8f93\u5165\u591a\u5c11\u6570\u636e\uff0c\u8fd9\u5c31\u4e3a\u6570\u7ec4\u957f\u5ea6\u7684\u9009\u62e9\u5e26\u6765\u4e86\u5f88\u5927\u56f0\u96be\u3002\u957f\u5ea6\u9009\u5c0f\u4e86\uff0c\u9700\u8981\u5728\u6dfb\u52a0\u6570\u636e\u4e2d\u9891\u7e41\u5730\u6269\u5bb9\u6570\u7ec4\uff1b\u957f\u5ea6\u9009\u5927\u4e86\uff0c\u53c8\u9020\u6210\u5185\u5b58\u7a7a\u95f4\u7684\u6d6a\u8d39\u3002</p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u8bde\u751f\u4e86\u4e00\u79cd\u88ab\u79f0\u4e3a\u300c\u5217\u8868 List\u300d\u7684\u6570\u636e\u7ed3\u6784\u3002\u5217\u8868\u53ef\u4ee5\u88ab\u7406\u89e3\u4e3a\u957f\u5ea6\u53ef\u53d8\u7684\u6570\u7ec4\uff0c\u56e0\u6b64\u4e5f\u5e38\u88ab\u79f0\u4e3a\u300c\u52a8\u6001\u6570\u7ec4 Dynamic Array\u300d\u3002\u5217\u8868\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\uff0c\u7ee7\u627f\u4e86\u6570\u7ec4\u7684\u4f18\u70b9\uff0c\u540c\u65f6\u8fd8\u53ef\u4ee5\u5728\u7a0b\u5e8f\u8fd0\u884c\u4e2d\u5b9e\u65f6\u6269\u5bb9\u3002\u5728\u5217\u8868\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u81ea\u7531\u5730\u6dfb\u52a0\u5143\u7d20\uff0c\u800c\u4e0d\u7528\u62c5\u5fc3\u8d85\u8fc7\u5bb9\u91cf\u9650\u5236\u3002</p>"},{"location":"chapter_array_and_linkedlist/list/#431","title":"4.3.1. \u5217\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u521d\u59cb\u5316\u5217\u8868\u3002\u6211\u4eec\u901a\u5e38\u4f1a\u4f7f\u7528\u5230\u201c\u65e0\u521d\u59cb\u503c\u201d\u548c\u201c\u6709\u521d\u59cb\u503c\u201d\u7684\u4e24\u79cd\u521d\u59cb\u5316\u65b9\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nList&lt;Integer&gt; list1 = new ArrayList&lt;&gt;();\n// \u6709\u521d\u59cb\u503c\uff08\u6ce8\u610f\u6570\u7ec4\u7684\u5143\u7d20\u7c7b\u578b\u9700\u4e3a int[] \u7684\u5305\u88c5\u7c7b Integer[]\uff09\nInteger[] numbers = new Integer[] { 1, 3, 2, 5, 4 };\nList&lt;Integer&gt; list = new ArrayList&lt;&gt;(Arrays.asList(numbers));\n</code></pre> list.cpp<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u9700\u6ce8\u610f\uff0cC++ \u4e2d vector \u5373\u662f\u672c\u6587\u63cf\u8ff0\u7684 list\n// \u65e0\u521d\u59cb\u503c\nvector&lt;int&gt; list1;\n// \u6709\u521d\u59cb\u503c\nvector&lt;int&gt; list = { 1, 3, 2, 5, 4 };\n</code></pre> list.py<pre><code>\"\"\" \u521d\u59cb\u5316\u5217\u8868 \"\"\"\n# \u65e0\u521d\u59cb\u503c\nlist1 = []\n# \u6709\u521d\u59cb\u503c\nlist = [1, 3, 2, 5, 4]\n</code></pre> list_test.go<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nlist1 := []int\n// \u6709\u521d\u59cb\u503c\nlist := []int{1, 3, 2, 5, 4}\n</code></pre> list.js<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nconst list1 = [];\n// \u6709\u521d\u59cb\u503c\nconst list = [1, 3, 2, 5, 4];\n</code></pre> list.ts<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nconst list1: number[] = [];\n// \u6709\u521d\u59cb\u503c\nconst list: number[] = [1, 3, 2, 5, 4];\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nList&lt;int&gt; list1 = new ();\n// \u6709\u521d\u59cb\u503c\nint[] numbers = new int[] { 1, 3, 2, 5, 4 };\nList&lt;int&gt; list = numbers.ToList();\n</code></pre> list.swift<pre><code>/* \u521d\u59cb\u5316\u5217\u8868 */\n// \u65e0\u521d\u59cb\u503c\nlet list1: [Int] = []\n// \u6709\u521d\u59cb\u503c\nvar list = [1, 3, 2, 5, 4]\n</code></pre> list.zig<pre><code>// \u521d\u59cb\u5316\u5217\u8868\nvar list = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer list.deinit();\ntry list.appendSlice(&amp;[_]i32{ 1, 3, 2, 5, 4 });\n</code></pre> <p>\u8bbf\u95ee\u4e0e\u66f4\u65b0\u5143\u7d20\u3002\u5217\u8868\u7684\u5e95\u5c42\u6570\u636e\u7ed3\u6784\u662f\u6570\u7ec4\uff0c\u56e0\u6b64\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u5185\u8bbf\u95ee\u4e0e\u66f4\u65b0\u5143\u7d20\uff0c\u6548\u7387\u5f88\u9ad8\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list.get(1);  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist.set(1, 0);  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.cpp<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.py<pre><code>\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\nnum = list[1]  # \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n\"\"\" \u66f4\u65b0\u5143\u7d20 \"\"\"\nlist[1] = 0    # \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list_test.go<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nnum := list[1]  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0     // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.js<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nconst num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.ts<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nconst num: number = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nint num = list[1];  // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0;  // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.swift<pre><code>/* \u8bbf\u95ee\u5143\u7d20 */\nlet num = list[1] // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n/* \u66f4\u65b0\u5143\u7d20 */\nlist[1] = 0 // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0\n</code></pre> list.zig<pre><code>// \u8bbf\u95ee\u5143\u7d20\nvar num = list.items[1]; // \u8bbf\u95ee\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\n// \u66f4\u65b0\u5143\u7d20\nlist.items[1] = 0; // \u5c06\u7d22\u5f15 1 \u5904\u7684\u5143\u7d20\u66f4\u65b0\u4e3a 0  \n</code></pre> <p>\u5728\u5217\u8868\u4e2d\u6dfb\u52a0\u3001\u63d2\u5165\u3001\u5220\u9664\u5143\u7d20\u3002\u76f8\u5bf9\u4e8e\u6570\u7ec4\uff0c\u5217\u8868\u53ef\u4ee5\u81ea\u7531\u5730\u6dfb\u52a0\u4e0e\u5220\u9664\u5143\u7d20\u3002\u5728\u5217\u8868\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff0c\u4f46\u662f\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20\u7684\u6548\u7387\u4ecd\u4e0e\u6570\u7ec4\u4e00\u6837\u4f4e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(N)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.add(1);\nlist.add(3);\nlist.add(2);\nlist.add(5);\nlist.add(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.add(3, 6);  // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.remove(3);  // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.cpp<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push_back(1);\nlist.push_back(3);\nlist.push_back(2);\nlist.push_back(5);\nlist.push_back(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.insert(list.begin() + 3, 6);  // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.erase(list.begin() + 3);      // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.py<pre><code>\"\"\" \u6e05\u7a7a\u5217\u8868 \"\"\"\nlist.clear()\n\"\"\" \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 \"\"\"\nlist.append(1)\nlist.append(3)\nlist.append(2)\nlist.append(5)\nlist.append(4)\n\"\"\" \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 \"\"\"\nlist.insert(3, 6)  # \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n\"\"\" \u5220\u9664\u5143\u7d20 \"\"\"\nlist.pop(3)        # \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list_test.go<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist = nil\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist = append(list, 1)\nlist = append(list, 3)\nlist = append(list, 2)\nlist = append(list, 5)\nlist = append(list, 4)\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist = append(list[:3], append([]int{6}, list[3:]...)...) // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist = append(list[:3], list[4:]...) // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.js<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.length = 0;\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push(1);\nlist.push(3);\nlist.push(2);\nlist.push(5);\nlist.push(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.splice(3, 0, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.splice(3, 1);\n</code></pre> list.ts<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.length = 0;\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.push(1);\nlist.push(3);\nlist.push(2);\nlist.push(5);\nlist.push(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.splice(3, 0, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.splice(3, 1);\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.Clear();\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.Add(1);\nlist.Add(3);\nlist.Add(2);\nlist.Add(5);\nlist.Add(4);\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.Insert(3, 6);\n/* \u5220\u9664\u5143\u7d20 */\nlist.RemoveAt(3);\n</code></pre> list.swift<pre><code>/* \u6e05\u7a7a\u5217\u8868 */\nlist.removeAll()\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nlist.append(1)\nlist.append(3)\nlist.append(2)\nlist.append(5)\nlist.append(4)\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nlist.insert(6, at: 3) // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n/* \u5220\u9664\u5143\u7d20 */\nlist.remove(at: 3) // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> list.zig<pre><code>// \u6e05\u7a7a\u5217\u8868\nlist.clearRetainingCapacity();\n// \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\ntry list.append(1);\ntry list.append(3);\ntry list.append(2);\ntry list.append(5);\ntry list.append(4);\n// \u4e2d\u95f4\u63d2\u5165\u5143\u7d20\ntry list.insert(3, 6); // \u5728\u7d22\u5f15 3 \u5904\u63d2\u5165\u6570\u5b57 6\n// \u5220\u9664\u5143\u7d20\n_ = list.orderedRemove(3); // \u5220\u9664\u7d22\u5f15 3 \u5904\u7684\u5143\u7d20\n</code></pre> <p>\u904d\u5386\u5217\u8868\u3002\u4e0e\u6570\u7ec4\u4e00\u6837\uff0c\u5217\u8868\u53ef\u4ee5\u4f7f\u7528\u7d22\u5f15\u904d\u5386\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528 <code>for-each</code> \u76f4\u63a5\u904d\u5386\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.size(); i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (int n : list) {\ncount++;\n}\n</code></pre> list.cpp<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.size(); i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (int n : list) {\ncount++;\n}\n</code></pre> list.py<pre><code>\"\"\" \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 \"\"\"\ncount = 0\nfor i in range(len(list)):\ncount += 1\n\"\"\" \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 \"\"\"\ncount = 0\nfor n in list:\ncount += 1\n</code></pre> list_test.go<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\ncount := 0\nfor i := 0; i &lt; len(list); i++ {\ncount++\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0\nfor range list {\ncount++\n}\n</code></pre> list.js<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nlet count = 0;\nfor (let i = 0; i &lt; list.length; i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (const n of list) {\ncount++;\n}\n</code></pre> list.ts<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nlet count = 0;\nfor (let i = 0; i &lt; list.length; i++) {\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nfor (const n of list) {\ncount++;\n}\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nint count = 0;\nfor (int i = 0; i &lt; list.Count(); i++)\n{\ncount++;\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0;\nforeach (int n in list)\n{\ncount++;\n}\n</code></pre> list.swift<pre><code>/* \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868 */\nvar count = 0\nfor _ in list.indices {\ncount += 1\n}\n/* \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20 */\ncount = 0\nfor _ in list {\ncount += 1\n}\n</code></pre> list.zig<pre><code>// \u901a\u8fc7\u7d22\u5f15\u904d\u5386\u5217\u8868\nvar count: i32 = 0;\nvar i: i32 = 0;\nwhile (i &lt; list.items.len) : (i += 1) {\ncount += 1;\n}\n// \u76f4\u63a5\u904d\u5386\u5217\u8868\u5143\u7d20\ncount = 0;\nfor (list.items) |_| {\ncount += 1;\n}\n</code></pre> <p>\u62fc\u63a5\u4e24\u4e2a\u5217\u8868\u3002\u518d\u521b\u5efa\u4e00\u4e2a\u65b0\u5217\u8868 <code>list1</code> \uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u4e2d\u4e00\u4e2a\u5217\u8868\u62fc\u63a5\u5230\u53e6\u4e00\u4e2a\u7684\u5c3e\u90e8\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nList&lt;Integer&gt; list1 = new ArrayList&lt;&gt;(Arrays.asList(new Integer[] { 6, 8, 7, 10, 9 }));\nlist.addAll(list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.cpp<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nvector&lt;int&gt; list1 = { 6, 8, 7, 10, 9 };\n// \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\nlist.insert(list.end(), list1.begin(), list1.end());\n</code></pre> list.py<pre><code>\"\"\" \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 \"\"\"\nlist1 = [6, 8, 7, 10, 9]\nlist += list1  # \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list_test.go<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nlist1 := []int{6, 8, 7, 10, 9}\nlist = append(list, list1...)  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.js<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nconst list1 = [6, 8, 7, 10, 9];\nlist.push(...list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.ts<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nconst list1: number[] = [6, 8, 7, 10, 9];\nlist.push(...list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nList&lt;int&gt; list1 = new() { 6, 8, 7, 10, 9 };\nlist.AddRange(list1);  // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.swift<pre><code>/* \u62fc\u63a5\u4e24\u4e2a\u5217\u8868 */\nlet list1 = [6, 8, 7, 10, 9]\nlist.append(contentsOf: list1) // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> list.zig<pre><code>// \u62fc\u63a5\u4e24\u4e2a\u5217\u8868\nvar list1 = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer list1.deinit();\ntry list1.appendSlice(&amp;[_]i32{ 6, 8, 7, 10, 9 });\ntry list.insertSlice(list.items.len, list1.items); // \u5c06\u5217\u8868 list1 \u62fc\u63a5\u5230 list \u4e4b\u540e\n</code></pre> <p>\u6392\u5e8f\u5217\u8868\u3002\u6392\u5e8f\u4e5f\u662f\u5e38\u7528\u7684\u65b9\u6cd5\u4e4b\u4e00\uff0c\u5b8c\u6210\u5217\u8868\u6392\u5e8f\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u5728\u6570\u7ec4\u7c7b\u7b97\u6cd5\u9898\u4e2d\u7ecf\u5e38\u8003\u5bdf\u7684\u300c\u4e8c\u5206\u67e5\u627e\u300d\u548c\u300c\u53cc\u6307\u9488\u300d\u7b97\u6cd5\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig list.java<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nCollections.sort(list);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.cpp<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nsort(list.begin(), list.end());  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.py<pre><code>\"\"\" \u6392\u5e8f\u5217\u8868 \"\"\"\nlist.sort()  # \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list_test.go<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nsort.Ints(list)  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.js<pre><code>/* \u6392\u5e8f\u5217\u8868 */  list.sort((a, b) =&gt; a - b);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.ts<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.sort((a, b) =&gt; a - b);  // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.c<pre><code>\n</code></pre> list.cs<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.Sort(); // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.swift<pre><code>/* \u6392\u5e8f\u5217\u8868 */\nlist.sort() // \u6392\u5e8f\u540e\uff0c\u5217\u8868\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\n</code></pre> list.zig<pre><code>// \u6392\u5e8f\u5217\u8868\nstd.sort.sort(i32, list.items, {}, comptime std.sort.asc(i32));\n</code></pre>"},{"location":"chapter_array_and_linkedlist/list/#432","title":"4.3.2. \u5217\u8868\u7b80\u6613\u5b9e\u73b0 *","text":"<p>\u4e3a\u4e86\u5e2e\u52a9\u52a0\u6df1\u5bf9\u5217\u8868\u7684\u7406\u89e3\uff0c\u6211\u4eec\u5728\u6b64\u63d0\u4f9b\u4e00\u4e2a\u5217\u8868\u7684\u7b80\u6613\u7248\u672c\u7684\u5b9e\u73b0\u3002\u9700\u8981\u5173\u6ce8\u4e09\u4e2a\u6838\u5fc3\u70b9\uff1a</p> <ul> <li>\u521d\u59cb\u5bb9\u91cf\uff1a\u9009\u53d6\u4e00\u4e2a\u5408\u7406\u7684\u6570\u7ec4\u7684\u521d\u59cb\u5bb9\u91cf <code>initialCapacity</code> \u3002\u5728\u672c\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u9009\u62e9 10 \u4f5c\u4e3a\u521d\u59cb\u5bb9\u91cf\u3002</li> <li>\u6570\u91cf\u8bb0\u5f55\uff1a\u9700\u8981\u58f0\u660e\u4e00\u4e2a\u53d8\u91cf <code>size</code> \uff0c\u7528\u6765\u8bb0\u5f55\u5217\u8868\u5f53\u524d\u6709\u591a\u5c11\u4e2a\u5143\u7d20\uff0c\u5e76\u968f\u7740\u5143\u7d20\u63d2\u5165\u4e0e\u5220\u9664\u5b9e\u65f6\u66f4\u65b0\u3002\u6839\u636e\u6b64\u53d8\u91cf\uff0c\u53ef\u4ee5\u5b9a\u4f4d\u5217\u8868\u7684\u5c3e\u90e8\uff0c\u4ee5\u53ca\u5224\u65ad\u662f\u5426\u9700\u8981\u6269\u5bb9\u3002</li> <li>\u6269\u5bb9\u673a\u5236\uff1a\u63d2\u5165\u5143\u7d20\u6709\u53ef\u80fd\u5bfc\u81f4\u8d85\u51fa\u5217\u8868\u5bb9\u91cf\uff0c\u6b64\u65f6\u9700\u8981\u6269\u5bb9\u5217\u8868\uff0c\u65b9\u6cd5\u662f\u5efa\u7acb\u4e00\u4e2a\u66f4\u5927\u7684\u6570\u7ec4\u6765\u66ff\u6362\u5f53\u524d\u6570\u7ec4\u3002\u9700\u8981\u7ed9\u5b9a\u4e00\u4e2a\u6269\u5bb9\u500d\u6570 <code>extendRatio</code> \uff0c\u5728\u672c\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u89c4\u5b9a\u6bcf\u6b21\u5c06\u6570\u7ec4\u6269\u5bb9\u81f3\u4e4b\u524d\u7684 2 \u500d\u3002</li> </ul> <p>\u672c\u793a\u4f8b\u662f\u4e3a\u4e86\u5e2e\u52a9\u8bfb\u8005\u5bf9\u5982\u4f55\u5b9e\u73b0\u5217\u8868\u4ea7\u751f\u76f4\u89c2\u7684\u8ba4\u8bc6\u3002\u5b9e\u9645\u7f16\u7a0b\u8bed\u8a00\u4e2d\uff0c\u5217\u8868\u7684\u5b9e\u73b0\u8fdc\u6bd4\u4ee5\u4e0b\u4ee3\u7801\u590d\u6742\u4e14\u6807\u51c6\uff0c\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53ef\u4ee5\u67e5\u9605\u6e90\u7801\u5b66\u4e60\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_list.java<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate int[] nums;           // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate int capacity = 10;    // \u5217\u8868\u5bb9\u91cf\nprivate int size = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate int extendRatio = 2;  // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\npublic MyList() {\nnums = new int[capacity];\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic int size() {\nreturn size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic int capacity() {\nreturn capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic int get(int index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic void set(int index, int num) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic void add(int num) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size == capacity())\nextendCapacity();\nnums[size] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic void insert(int index, int num) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size == capacity())\nextendCapacity();\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = size - 1; j &gt;= index; j--) {\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic int remove(int index) {\nif (index &lt; 0 || index &gt;= size)\nthrow new IndexOutOfBoundsException(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; size - 1; j++) {\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nsize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic void extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nnums = Arrays.copyOf(nums, capacity() * extendRatio);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\ncapacity = nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic int[] toArray() {\nint size = size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] nums = new int[size];\nfor (int i = 0; i &lt; size; i++) {\nnums[i] = get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.cpp<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate:\nint* nums;                // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nint numsCapacity = 10;    // \u5217\u8868\u5bb9\u91cf\nint numsSize = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nint extendRatio = 2;      // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nMyList() {\nnums = new int[numsCapacity];\n}\n/* \u6790\u6784\u65b9\u6cd5 */\n~MyList() {\ndelete[] nums;\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nint size() {\nreturn numsSize;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nint capacity() {\nreturn numsCapacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nint get(int index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nvoid set(int index, int num) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nvoid add(int num) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size() == capacity())\nextendCapacity();\nnums[size()] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nvoid insert(int index, int num) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (size() == capacity())\nextendCapacity();\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = size() - 1; j &gt;= index; j--) {\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\nint remove(int index) {\nif (index &lt; 0 || index &gt;= size())\nthrow out_of_range(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; size() - 1; j++) {\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\nvoid extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nint newCapacity = capacity() * extendRatio;\nint* tmp = nums;\nnums = new int[newCapacity];\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nfor (int i = 0; i &lt; size(); i++) {\nnums[i] = tmp[i];\n}\n// \u91ca\u653e\u5185\u5b58\ndelete[] tmp;\nnumsCapacity = newCapacity;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a Vector \u7528\u4e8e\u6253\u5370 */\nvector&lt;int&gt; toVector() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvector&lt;int&gt; vec(size());\nfor (int i = 0; i &lt; size(); i++) {\nvec[i] = nums[i];\n}\nreturn vec;\n}\n};\n</code></pre> my_list.py<pre><code>\"\"\" \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 \"\"\"\nclass MyList:\n\"\"\" \u6784\u9020\u65b9\u6cd5 \"\"\"\ndef __init__(self):\nself.__capacity = 10                 # \u5217\u8868\u5bb9\u91cf\nself.__nums = [0] * self.__capacity  # \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nself.__size = 0                      # \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nself.__extend_ratio = 2              # \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n\"\"\" \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u83b7\u53d6\u5217\u8868\u5bb9\u91cf \"\"\"\ndef capacity(self):\nreturn self.__capacity\n\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\ndef get(self, index):\n# \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nreturn self.__nums[index]\n\"\"\" \u66f4\u65b0\u5143\u7d20 \"\"\"\ndef set(self, num, index):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nself.__nums[index] = num\n\"\"\" \u4e2d\u95f4\u63d2\u5165\uff08\u5c3e\u90e8\u6dfb\u52a0\uff09\u5143\u7d20 \"\"\"\ndef add(self, num, index=-1):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\n# \u82e5\u4e0d\u6307\u5b9a\u7d22\u5f15 index \uff0c\u5219\u5411\u6570\u7ec4\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\nif index == -1:\nindex = self.__size\n# \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif self.__size == self.capacity():\nself.extend_capacity()\n# \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j in range(self.__size - 1, index - 1, -1):\nself.__nums[j + 1] = self.__nums[j]\nself.__nums[index] = num\n# \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.__size += 1\n\"\"\" \u5220\u9664\u5143\u7d20 \"\"\"\ndef remove(self, index):\nassert index &gt;= 0 and index &lt; self.__size, \"\u7d22\u5f15\u8d8a\u754c\"\nnum = self.nums[index]\n# \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j in range(index, self.__size - 1):\nself.__nums[j] = self.__nums[j + 1]\n# \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.__size -= 1\n# \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n\"\"\" \u5217\u8868\u6269\u5bb9 \"\"\"\ndef extend_capacity(self):\n# \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a self.__size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nself.__nums = self.__nums + [0] * self.capacity() * (self.__extend_ratio - 1)\n# \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nself.__capacity = len(self.__nums)\n\"\"\" \u8fd4\u56de\u6709\u6548\u957f\u5ea6\u7684\u5217\u8868 \"\"\"\ndef to_array(self):\nreturn self.__nums[:self.__size]\n</code></pre> my_list.go<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\ntype myList struct {\nnumsCapacity int\nnums         []int\nnumsSize     int\nextendRatio  int\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newMyList() *myList {\nreturn &amp;myList{\nnumsCapacity: 10,              // \u5217\u8868\u5bb9\u91cf\nnums:         make([]int, 10), // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nnumsSize:     0,               // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nextendRatio:  2,               // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n}\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09 */\nfunc (l *myList) size() int {\nreturn l.numsSize\n}\n/*  \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nfunc (l *myList) capacity() int {\nreturn l.numsCapacity\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nfunc (l *myList) get(index int) int {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nreturn l.nums[index]\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nfunc (l *myList) set(num, index int) {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nl.nums[index] = num\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nfunc (l *myList) add(num int) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif l.numsSize == l.numsCapacity {\nl.extendCapacity()\n}\nl.nums[l.numsSize] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize++\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nfunc (l *myList) insert(num, index int) {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif l.numsSize == l.numsCapacity {\nl.extendCapacity()\n}\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j := l.numsSize - 1; j &gt;= index; j-- {\nl.nums[j+1] = l.nums[j]\n}\nl.nums[index] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize++\n}\n/* \u5220\u9664\u5143\u7d20 */\nfunc (l *myList) remove(index int) int {\nif index &lt; 0 || index &gt;= l.numsSize {\npanic(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nnum := l.nums[index]\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j := index; j &lt; l.numsSize-1; j++ {\nl.nums[j] = l.nums[j+1]\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nl.numsSize--\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n}\n/* \u5217\u8868\u6269\u5bb9 */\nfunc (l *myList) extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a self.__size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nl.nums = append(l.nums, make([]int, l.numsCapacity*(l.extendRatio-1))...)\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nl.numsCapacity = len(l.nums)\n}\n/* \u8fd4\u56de\u6709\u6548\u957f\u5ea6\u7684\u5217\u8868 */\nfunc (l *myList) toArray() []int {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nreturn l.nums[:l.numsSize]\n}\n</code></pre> my_list.js<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\n#nums = new Array(); // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\n#capacity = 10; // \u5217\u8868\u5bb9\u91cf\n#size = 0; // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\n#extendRatio = 2; // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor() {\nthis.#nums = new Array(this.#capacity);\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nsize() {\nreturn this.#size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\ncapacity() {\nreturn this.#capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nget(index) {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nreturn this.#nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nset(index, num) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nthis.#nums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nadd(num) {\n// \u5982\u679c\u957f\u5ea6\u7b49\u4e8e\u5bb9\u91cf\uff0c\u5219\u9700\u8981\u6269\u5bb9\nif (this.#size === this.#capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u65b0\u5143\u7d20\u6dfb\u52a0\u5230\u5217\u8868\u5c3e\u90e8\nthis.#nums[this.#size] = num;\nthis.#size++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\ninsert(index, num) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (this.#size === this.#capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let j = this.#size - 1; j &gt;= index; j--) {\nthis.#nums[j + 1] = this.#nums[j];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.#nums[index] = num;\nthis.#size++;\n}\n/* \u5220\u9664\u5143\u7d20 */\nremove(index) {\nif (index &lt; 0 || index &gt;= this.#size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nlet num = this.#nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let j = index; j &lt; this.#size - 1; j++) {\nthis.#nums[j] = this.#nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.#size--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\nextendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nthis.#nums = this.#nums.concat(\nnew Array(this.capacity() * (this.#extendRatio - 1))\n);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nthis.#capacity = this.#nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\ntoArray() {\nlet size = this.size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst nums = new Array(size);\nfor (let i = 0; i &lt; size; i++) {\nnums[i] = this.get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.ts<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate nums: Array&lt;number&gt;; // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate _capacity: number = 10; // \u5217\u8868\u5bb9\u91cf\nprivate _size: number = 0; // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate extendRatio: number = 2; // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor() {\nthis.nums = new Array(this._capacity);\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic size(): number {\nreturn this._size;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic capacity(): number {\nreturn this._capacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic get(index: number): number {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nreturn this.nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic set(index: number, num: number): void {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nthis.nums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic add(num: number): void {\n// \u5982\u679c\u957f\u5ea6\u7b49\u4e8e\u5bb9\u91cf\uff0c\u5219\u9700\u8981\u6269\u5bb9\nif (this._size === this._capacity)\nthis.extendCapacity();\n// \u5c06\u65b0\u5143\u7d20\u6dfb\u52a0\u5230\u5217\u8868\u5c3e\u90e8\nthis.nums[this._size] = num;\nthis._size++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic insert(index: number, num: number): void {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (this._size === this._capacity) {\nthis.extendCapacity();\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (let j = this._size - 1; j &gt;= index; j--) {\nthis.nums[j + 1] = this.nums[j];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis.nums[index] = num;\nthis._size++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic remove(index: number): number {\nif (index &lt; 0 || index &gt;= this._size)\nthrow new Error('\u7d22\u5f15\u8d8a\u754c');\nlet num = this.nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (let j = index; j &lt; this._size - 1; j++) {\nthis.nums[j] = this.nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nthis._size--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic extendCapacity(): void {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nthis.nums = this.nums.concat(\nnew Array(this.capacity() * (this.extendRatio - 1))\n);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nthis._capacity = this.nums.length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic toArray(): number[] {\nlet size = this.size();\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nlet nums = new Array(size);\nfor (let i = 0; i &lt; size; i++) {\nnums[i] = this.get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.c<pre><code>[class]{myList}-[func]{}\n</code></pre> my_list.cs<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList\n{\nprivate int[] nums;           // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate int numsCapacity = 10;    // \u5217\u8868\u5bb9\u91cf\nprivate int numsSize = 0;         // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate int extendRatio = 2;  // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\npublic MyList()\n{\nnums = new int[numsCapacity];\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\npublic int size()\n{\nreturn numsSize;\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\npublic int capacity()\n{\nreturn numsCapacity;\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\npublic int get(int index)\n{\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn nums[index];\n}\n/* \u66f4\u65b0\u5143\u7d20 */\npublic void set(int index, int num)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nnums[index] = num;\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\npublic void add(int num)\n{\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (numsSize == numsCapacity)\nextendCapacity();\nnums[numsSize] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\npublic void insert(int index, int num)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (numsSize == numsCapacity)\nextendCapacity();\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor (int j = numsSize - 1; j &gt;= index; j--)\n{\nnums[j + 1] = nums[j];\n}\nnums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize++;\n}\n/* \u5220\u9664\u5143\u7d20 */\npublic int remove(int index)\n{\nif (index &lt; 0 || index &gt;= numsSize)\nthrow new IndexOutOfRangeException(\"\u7d22\u5f15\u8d8a\u754c\");\nint num = nums[index];\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor (int j = index; j &lt; numsSize - 1; j++)\n{\nnums[j] = nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nnumsSize--;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n/* \u5217\u8868\u6269\u5bb9 */\npublic void extendCapacity()\n{\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a numsCapacity * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nSystem.Array.Resize(ref nums, numsCapacity * extendRatio);\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nnumsCapacity = nums.Length;\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\npublic int[] toArray()\n{\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] nums = new int[numsSize];\nfor (int i = 0; i &lt; numsSize; i++)\n{\nnums[i] = get(i);\n}\nreturn nums;\n}\n}\n</code></pre> my_list.swift<pre><code>/* \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0 */\nclass MyList {\nprivate var nums: [Int] // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nprivate var _capacity = 10 // \u5217\u8868\u5bb9\u91cf\nprivate var _size = 0 // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nprivate let extendRatio = 2 // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\n/* \u6784\u9020\u65b9\u6cd5 */\ninit() {\nnums = Array(repeating: 0, count: _capacity)\n}\n/* \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09*/\nfunc size() -&gt; Int {\n_size\n}\n/* \u83b7\u53d6\u5217\u8868\u5bb9\u91cf */\nfunc capacity() -&gt; Int {\n_capacity\n}\n/* \u8bbf\u95ee\u5143\u7d20 */\nfunc get(index: Int) -&gt; Int {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u9519\u8bef\uff0c\u4e0b\u540c\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nreturn nums[index]\n}\n/* \u66f4\u65b0\u5143\u7d20 */\nfunc set(index: Int, num: Int) {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nnums[index] = num\n}\n/* \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20 */\nfunc add(num: Int) {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif _size == _capacity {\nextendCapacity()\n}\nnums[_size] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size += 1\n}\n/* \u4e2d\u95f4\u63d2\u5165\u5143\u7d20 */\nfunc insert(index: Int, num: Int) {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif _size == _capacity {\nextendCapacity()\n}\n// \u5c06\u7d22\u5f15 index \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfor j in sequence(first: _size - 1, next: { $0 &gt;= index + 1 ? $0 - 1 : nil }) {\nnums[j + 1] = nums[j]\n}\nnums[index] = num\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size += 1\n}\n/* \u5220\u9664\u5143\u7d20 */\n@discardableResult\nfunc remove(index: Int) -&gt; Int {\nif index &lt; 0 || index &gt;= _size {\nfatalError(\"\u7d22\u5f15\u8d8a\u754c\")\n}\nlet num = nums[index]\n// \u5c06\u7d22\u5f15 index \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nfor j in index ..&lt; (_size - 1) {\nnums[j] = nums[j + 1]\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\n_size -= 1\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num\n}\n/* \u5217\u8868\u6269\u5bb9 */\nfunc extendCapacity() {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nnums = nums + Array(repeating: 0, count: _capacity * (extendRatio - 1))\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\n_capacity = nums.count\n}\n/* \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4 */\nfunc toArray() -&gt; [Int] {\nvar nums = Array(repeating: 0, count: _size)\nfor i in 0 ..&lt; _size {\nnums[i] = get(index: i)\n}\nreturn nums\n}\n}\n</code></pre> my_list.zig<pre><code>// \u5217\u8868\u7c7b\u7b80\u6613\u5b9e\u73b0\nfn MyList(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nnums: []T = undefined,                        // \u6570\u7ec4\uff08\u5b58\u50a8\u5217\u8868\u5143\u7d20\uff09\nnumsCapacity: usize = 10,                     // \u5217\u8868\u5bb9\u91cf\nnumSize: usize = 0,                           // \u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\nextendRatio: usize = 2,                       // \u6bcf\u6b21\u5217\u8868\u6269\u5bb9\u7684\u500d\u6570\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined, // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u5217\u8868\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.nums = try self.mem_allocator.alloc(T, self.numsCapacity);\nstd.mem.set(T, self.nums, @as(T, 0));\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u5217\u8868\u957f\u5ea6\uff08\u5373\u5f53\u524d\u5143\u7d20\u6570\u91cf\uff09\npub fn size(self: *Self) usize {\nreturn self.numSize;\n}\n// \u83b7\u53d6\u5217\u8868\u5bb9\u91cf\npub fn capacity(self: *Self) usize {\nreturn self.numsCapacity;\n}\n// \u8bbf\u95ee\u5143\u7d20\npub fn get(self: *Self, index: usize) T {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nreturn self.nums[index];\n}  // \u66f4\u65b0\u5143\u7d20\npub fn set(self: *Self, index: usize, num: T) void {\n// \u7d22\u5f15\u5982\u679c\u8d8a\u754c\u5219\u629b\u51fa\u5f02\u5e38\uff0c\u4e0b\u540c\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nself.nums[index] = num;\n}  // \u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\npub fn add(self: *Self, num: T) !void {\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (self.size() == self.capacity()) try self.extendCapacity();\nself.nums[self.size()] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize += 1;\n}  // \u4e2d\u95f4\u63d2\u5165\u5143\u7d20\npub fn insert(self: *Self, index: usize, num: T) !void {\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\n// \u5143\u7d20\u6570\u91cf\u8d85\u51fa\u5bb9\u91cf\u65f6\uff0c\u89e6\u53d1\u6269\u5bb9\u673a\u5236\nif (self.size() == self.capacity()) try self.extendCapacity();\n// \u7d22\u5f15 i \u4ee5\u53ca\u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nvar j = self.size() - 1;\nwhile (j &gt;= index) : (j -= 1) {\nself.nums[j + 1] = self.nums[j];\n}\nself.nums[index] = num;\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize += 1;\n}\n// \u5220\u9664\u5143\u7d20\npub fn remove(self: *Self, index: usize) T {\nif (index &lt; 0 or index &gt;= self.size()) @panic(\"\u7d22\u5f15\u8d8a\u754c\");\nvar num = self.nums[index];\n// \u7d22\u5f15 i \u4e4b\u540e\u7684\u5143\u7d20\u90fd\u5411\u524d\u79fb\u52a8\u4e00\u4f4d\nvar j = index;\nwhile (j &lt; self.size() - 1) : (j += 1) {\nself.nums[j] = self.nums[j + 1];\n}\n// \u66f4\u65b0\u5143\u7d20\u6570\u91cf\nself.numSize -= 1;\n// \u8fd4\u56de\u88ab\u5220\u9664\u5143\u7d20\nreturn num;\n}\n// \u5217\u8868\u6269\u5bb9\npub fn extendCapacity(self: *Self) !void {\n// \u65b0\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a size * extendRatio \u7684\u6570\u7ec4\uff0c\u5e76\u5c06\u539f\u6570\u7ec4\u62f7\u8d1d\u5230\u65b0\u6570\u7ec4\nvar newCapacity = self.capacity() * self.extendRatio;\nvar extend = try self.mem_allocator.alloc(T, newCapacity);\nstd.mem.set(T, extend, @as(T, 0));\n// \u5c06\u539f\u6570\u7ec4\u4e2d\u7684\u6240\u6709\u5143\u7d20\u590d\u5236\u5230\u65b0\u6570\u7ec4\nstd.mem.copy(T, extend, self.nums);\nself.nums = extend;\n// \u66f4\u65b0\u5217\u8868\u5bb9\u91cf\nself.numsCapacity = newCapacity;\n}\n// \u5c06\u5217\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar nums = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, nums, @as(T, 0));\nfor (nums) |*num, i| {\nnum.* = self.get(i);\n}\nreturn nums;\n}\n};\n}\n</code></pre>"},{"location":"chapter_array_and_linkedlist/summary/","title":"4.4. \u5c0f\u7ed3","text":"<ul> <li>\u6570\u7ec4\u548c\u94fe\u8868\u662f\u4e24\u79cd\u57fa\u672c\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u4e24\u79cd\u5b58\u50a8\u65b9\u5f0f\uff0c\u5373\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\u548c\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\u3002\u4e24\u8005\u7684\u4f18\u70b9\u4e0e\u7f3a\u70b9\u5448\u73b0\u51fa\u6b64\u6d88\u5f7c\u957f\u7684\u5173\u7cfb\u3002</li> <li>\u6570\u7ec4\u652f\u6301\u968f\u673a\u8bbf\u95ee\u3001\u5185\u5b58\u7a7a\u95f4\u5360\u7528\u5c0f\uff1b\u4f46\u63d2\u5165\u4e0e\u5220\u9664\u5143\u7d20\u6548\u7387\u4f4e\uff0c\u4e14\u521d\u59cb\u5316\u540e\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002</li> <li>\u94fe\u8868\u53ef\u901a\u8fc7\u66f4\u6539\u6307\u9488\u5b9e\u73b0\u9ad8\u6548\u7684\u7ed3\u70b9\u63d2\u5165\u4e0e\u5220\u9664\uff0c\u5e76\u4e14\u53ef\u4ee5\u7075\u6d3b\u5730\u4fee\u6539\u957f\u5ea6\uff1b\u4f46\u7ed3\u70b9\u8bbf\u95ee\u6548\u7387\u4f4e\u3001\u5360\u7528\u5185\u5b58\u591a\u3002\u5e38\u89c1\u7684\u94fe\u8868\u7c7b\u578b\u6709\u5355\u5411\u94fe\u8868\u3001\u5faa\u73af\u94fe\u8868\u3001\u53cc\u5411\u94fe\u8868\u3002</li> <li>\u5217\u8868\u53c8\u79f0\u52a8\u6001\u6570\u7ec4\uff0c\u662f\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u4e00\u79cd\u6570\u636e\u7ed3\u6784\uff0c\u5176\u4fdd\u5b58\u4e86\u6570\u7ec4\u7684\u4f18\u52bf\uff0c\u4e14\u53ef\u4ee5\u7075\u6d3b\u6539\u53d8\u957f\u5ea6\u3002\u5217\u8868\u7684\u51fa\u73b0\u5927\u5927\u63d0\u5347\u4e86\u6570\u7ec4\u7684\u5b9e\u7528\u6027\uff0c\u4f46\u526f\u4f5c\u7528\u662f\u4f1a\u9020\u6210\u90e8\u5206\u5185\u5b58\u7a7a\u95f4\u6d6a\u8d39\u3002</li> </ul>"},{"location":"chapter_array_and_linkedlist/summary/#441-vs","title":"4.4.1. \u6570\u7ec4 VS \u94fe\u8868","text":"<p> Table. \u6570\u7ec4\u4e0e\u94fe\u8868\u7279\u70b9\u5bf9\u6bd4 </p> \u6570\u7ec4 \u94fe\u8868 \u5b58\u50a8\u65b9\u5f0f \u8fde\u7eed\u5185\u5b58\u7a7a\u95f4 \u79bb\u6563\u5185\u5b58\u7a7a\u95f4 \u6570\u636e\u7ed3\u6784\u957f\u5ea6 \u957f\u5ea6\u4e0d\u53ef\u53d8 \u957f\u5ea6\u53ef\u53d8 \u5185\u5b58\u4f7f\u7528\u7387 \u5360\u7528\u5185\u5b58\u5c11\u3001\u7f13\u5b58\u5c40\u90e8\u6027\u597d \u5360\u7528\u5185\u5b58\u591a \u4f18\u52bf\u64cd\u4f5c \u968f\u673a\u8bbf\u95ee \u63d2\u5165\u3001\u5220\u9664 <p>Tip</p> <p>\u300c\u7f13\u5b58\u5c40\u90e8\u6027\uff08Cache locality\uff09\u300d\u6d89\u53ca\u5230\u4e86\u8ba1\u7b97\u673a\u64cd\u4f5c\u7cfb\u7edf\uff0c\u5728\u672c\u4e66\u4e0d\u505a\u5c55\u5f00\u4ecb\u7ecd\uff0c\u5efa\u8bae\u6709\u5174\u8da3\u7684\u540c\u5b66 Google / Baidu \u4e00\u4e0b\u3002</p> <p> Table. \u6570\u7ec4\u4e0e\u94fe\u8868\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6 </p> \u64cd\u4f5c \u6570\u7ec4 \u94fe\u8868 \u8bbf\u95ee\u5143\u7d20 \\(O(1)\\) \\(O(N)\\) \u6dfb\u52a0\u5143\u7d20 \\(O(N)\\) \\(O(1)\\) \u5220\u9664\u5143\u7d20 \\(O(N)\\) \\(O(1)\\)"},{"location":"chapter_computational_complexity/performance_evaluation/","title":"2.1. \u7b97\u6cd5\u6548\u7387\u8bc4\u4f30","text":""},{"location":"chapter_computational_complexity/performance_evaluation/#211","title":"2.1.1. \u7b97\u6cd5\u8bc4\u4ef7\u7ef4\u5ea6","text":"<p>\u5728\u5f00\u59cb\u5b66\u4e60\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u4eec\u9996\u5148\u8981\u60f3\u6e05\u695a\u7b97\u6cd5\u7684\u8bbe\u8ba1\u76ee\u6807\u662f\u4ec0\u4e48\uff0c\u6216\u8005\u8bf4\uff0c\u5982\u4f55\u6765\u8bc4\u5224\u7b97\u6cd5\u7684\u597d\u4e0e\u574f\u3002\u6574\u4f53\u4e0a\u770b\uff0c\u6211\u4eec\u8bbe\u8ba1\u7b97\u6cd5\u65f6\u8ffd\u6c42\u4e24\u4e2a\u5c42\u9762\u7684\u76ee\u6807\u3002</p> <ol> <li>\u627e\u5230\u95ee\u9898\u89e3\u6cd5\u3002\u7b97\u6cd5\u9700\u8981\u80fd\u591f\u5728\u89c4\u5b9a\u7684\u8f93\u5165\u8303\u56f4\u4e0b\uff0c\u53ef\u9760\u5730\u6c42\u5f97\u95ee\u9898\u7684\u6b63\u786e\u89e3\u3002</li> <li>\u5bfb\u6c42\u6700\u4f18\u89e3\u6cd5\u3002\u540c\u4e00\u4e2a\u95ee\u9898\u53ef\u80fd\u5b58\u5728\u591a\u79cd\u89e3\u6cd5\uff0c\u800c\u6211\u4eec\u5e0c\u671b\u7b97\u6cd5\u6548\u7387\u5c3d\u53ef\u80fd\u7684\u9ad8\u3002</li> </ol> <p>\u6362\u8a00\u4e4b\uff0c\u5728\u53ef\u4ee5\u89e3\u51b3\u95ee\u9898\u7684\u524d\u63d0\u4e0b\uff0c\u7b97\u6cd5\u6548\u7387\u5219\u662f\u4e3b\u8981\u8bc4\u4ef7\u7ef4\u5ea6\uff0c\u5305\u62ec\uff1a</p> <ul> <li>\u65f6\u95f4\u6548\u7387\uff0c\u5373\u7b97\u6cd5\u7684\u8fd0\u884c\u901f\u5ea6\u7684\u5feb\u6162\u3002</li> <li>\u7a7a\u95f4\u6548\u7387\uff0c\u5373\u7b97\u6cd5\u5360\u7528\u7684\u5185\u5b58\u7a7a\u95f4\u5927\u5c0f\u3002</li> </ul> <p>\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u8ffd\u6c42\u201c\u8fd0\u884c\u901f\u5ea6\u5feb\u3001\u5360\u7528\u5185\u5b58\u5c11\u201d\uff0c\u800c\u5982\u4f55\u53bb\u8bc4\u4ef7\u7b97\u6cd5\u6548\u7387\u5219\u662f\u975e\u5e38\u91cd\u8981\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u53ea\u6709\u77e5\u9053\u5982\u4f55\u8bc4\u4ef7\u7b97\u6cd5\uff0c\u624d\u80fd\u53bb\u505a\u7b97\u6cd5\u4e4b\u95f4\u7684\u5bf9\u6bd4\u5206\u6790\uff0c\u4ee5\u53ca\u4f18\u5316\u7b97\u6cd5\u8bbe\u8ba1\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#212","title":"2.1.2. \u6548\u7387\u8bc4\u4f30\u65b9\u6cd5","text":""},{"location":"chapter_computational_complexity/performance_evaluation/#_1","title":"\u5b9e\u9645\u6d4b\u8bd5","text":"<p>\u5047\u8bbe\u6211\u4eec\u73b0\u5728\u6709\u7b97\u6cd5 A \u548c \u7b97\u6cd5 B \uff0c\u90fd\u80fd\u591f\u89e3\u51b3\u540c\u4e00\u95ee\u9898\uff0c\u73b0\u5728\u9700\u8981\u5bf9\u6bd4\u4e24\u4e2a\u7b97\u6cd5\u4e4b\u95f4\u7684\u6548\u7387\u3002\u6211\u4eec\u80fd\u591f\u60f3\u5230\u7684\u6700\u76f4\u63a5\u7684\u65b9\u5f0f\uff0c\u5c31\u662f\u627e\u4e00\u53f0\u8ba1\u7b97\u673a\uff0c\u628a\u4e24\u4e2a\u7b97\u6cd5\u90fd\u5b8c\u6574\u8dd1\u4e00\u904d\uff0c\u5e76\u76d1\u63a7\u8bb0\u5f55\u8fd0\u884c\u65f6\u95f4\u548c\u5185\u5b58\u5360\u7528\u60c5\u51b5\u3002\u8fd9\u79cd\u8bc4\u4f30\u65b9\u5f0f\u80fd\u591f\u53cd\u6620\u771f\u5b9e\u60c5\u51b5\uff0c\u4f46\u662f\u4e5f\u5b58\u5728\u5f88\u5927\u7684\u786c\u4f24\u3002</p> <p>\u96be\u4ee5\u6392\u9664\u6d4b\u8bd5\u73af\u5883\u7684\u5e72\u6270\u56e0\u7d20\u3002\u786c\u4ef6\u914d\u7f6e\u4f1a\u5f71\u54cd\u5230\u7b97\u6cd5\u7684\u6027\u80fd\u8868\u73b0\u3002\u4f8b\u5982\uff0c\u5728\u67d0\u53f0\u8ba1\u7b97\u673a\u4e2d\uff0c\u7b97\u6cd5 A \u6bd4\u7b97\u6cd5 B \u8fd0\u884c\u65f6\u95f4\u66f4\u77ed\uff1b\u4f46\u6362\u5230\u53e6\u4e00\u53f0\u914d\u7f6e\u4e0d\u540c\u7684\u8ba1\u7b97\u673a\u4e2d\uff0c\u53ef\u80fd\u4f1a\u5f97\u5230\u76f8\u53cd\u7684\u6d4b\u8bd5\u7ed3\u679c\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u9700\u8981\u5728\u5404\u79cd\u673a\u5668\u4e0a\u5c55\u5f00\u6d4b\u8bd5\uff0c\u800c\u8fd9\u662f\u4e0d\u73b0\u5b9e\u7684\u3002</p> <p>\u5c55\u5f00\u5b8c\u6574\u6d4b\u8bd5\u975e\u5e38\u8017\u8d39\u8d44\u6e90\u3002\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u7684\u5927\u5c0f\u53d8\u5316\uff0c\u7b97\u6cd5\u4f1a\u5448\u73b0\u51fa\u4e0d\u540c\u7684\u6548\u7387\u8868\u73b0\u3002\u6bd4\u5982\uff0c\u6709\u53ef\u80fd\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5c0f\u65f6\uff0c\u7b97\u6cd5 A \u8fd0\u884c\u65f6\u95f4\u77ed\u4e8e\u7b97\u6cd5 B \uff0c\u800c\u5728\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5927\u65f6\uff0c\u6d4b\u8bd5\u7ed3\u679c\u622a\u7136\u76f8\u53cd\u3002\u56e0\u6b64\uff0c\u82e5\u60f3\u8981\u8fbe\u5230\u5177\u6709\u8bf4\u670d\u529b\u7684\u5bf9\u6bd4\u7ed3\u679c\uff0c\u90a3\u4e48\u9700\u8981\u8f93\u5165\u5404\u79cd\u4f53\u91cf\u6570\u636e\uff0c\u8fd9\u6837\u7684\u6d4b\u8bd5\u9700\u8981\u5360\u7528\u5927\u91cf\u8ba1\u7b97\u8d44\u6e90\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#_2","title":"\u7406\u8bba\u4f30\u7b97","text":"<p>\u65e2\u7136\u5b9e\u9645\u6d4b\u8bd5\u5177\u6709\u5f88\u5927\u7684\u5c40\u9650\u6027\uff0c\u90a3\u4e48\u6211\u4eec\u662f\u5426\u53ef\u4ee5\u4ec5\u901a\u8fc7\u4e00\u4e9b\u8ba1\u7b97\uff0c\u5c31\u83b7\u77e5\u7b97\u6cd5\u7684\u6548\u7387\u6c34\u5e73\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u6211\u4eec\u5c06\u6b64\u4f30\u7b97\u65b9\u6cd5\u79f0\u4e3a\u300c\u590d\u6742\u5ea6\u5206\u6790 Complexity Analysis\u300d\u6216\u300c\u6e10\u8fd1\u590d\u6742\u5ea6\u5206\u6790 Asymptotic Complexity Analysis\u300d\u3002</p> <p>\u590d\u6742\u5ea6\u5206\u6790\u8bc4\u4f30\u7684\u662f\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u589e\u591a\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002\u8fd9\u53e5\u8bdd\u6709\u4e9b\u62d7\u53e3\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5206\u4e3a\u4e09\u4e2a\u91cd\u70b9\u6765\u7406\u89e3\uff1a</p> <ul> <li>\u201c\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u201d\u53ef\u5206\u4e3a\u201c\u8fd0\u884c\u65f6\u95f4\u201d\u548c\u201c\u5360\u7528\u7a7a\u95f4\u201d\uff0c\u8fdb\u800c\u53ef\u5c06\u590d\u6742\u5ea6\u5206\u4e3a\u300c\u65f6\u95f4\u590d\u6742\u5ea6 Time Complexity\u300d\u548c\u300c\u7a7a\u95f4\u590d\u6742\u5ea6 Space Complexity\u300d\u3002</li> <li>\u201c\u968f\u7740\u8f93\u5165\u6570\u636e\u91cf\u589e\u591a\u65f6\u201d\u4ee3\u8868\u590d\u6742\u5ea6\u4e0e\u8f93\u5165\u6570\u636e\u91cf\u6709\u5173\uff0c\u53cd\u6620\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u4e0e\u8f93\u5165\u6570\u636e\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff1b</li> <li>\u201c\u589e\u957f\u8d8b\u52bf\u201d\u8868\u793a\u590d\u6742\u5ea6\u5206\u6790\u4e0d\u5173\u5fc3\u7b97\u6cd5\u5177\u4f53\u4f7f\u7528\u4e86\u591a\u5c11\u65f6\u95f4\u6216\u5360\u7528\u4e86\u591a\u5c11\u7a7a\u95f4\uff0c\u800c\u662f\u7ed9\u51fa\u4e00\u79cd\u201c\u8d8b\u52bf\u6027\u5206\u6790\u201d\uff1b</li> </ul> <p>\u590d\u6742\u5ea6\u5206\u6790\u514b\u670d\u4e86\u5b9e\u9645\u6d4b\u8bd5\u65b9\u6cd5\u7684\u5f0a\u7aef\u3002\u4e00\u662f\u72ec\u7acb\u4e8e\u6d4b\u8bd5\u73af\u5883\uff0c\u5206\u6790\u7ed3\u679c\u9002\u7528\u4e8e\u6240\u6709\u8fd0\u884c\u5e73\u53f0\u3002\u4e8c\u662f\u53ef\u4ee5\u4f53\u73b0\u4e0d\u540c\u6570\u636e\u91cf\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\uff0c\u5c24\u5176\u662f\u53ef\u4ee5\u53cd\u6620\u5927\u6570\u636e\u91cf\u4e0b\u7684\u7b97\u6cd5\u6027\u80fd\u3002</p> <p>\u5982\u679c\u611f\u89c9\u5bf9\u590d\u6742\u5ea6\u5206\u6790\u7684\u6982\u5ff5\u4e00\u77e5\u534a\u89e3\uff0c\u65e0\u9700\u62c5\u5fc3\uff0c\u540e\u7eed\u7ae0\u8282\u4f1a\u5c55\u5f00\u4ecb\u7ecd\u3002</p>"},{"location":"chapter_computational_complexity/performance_evaluation/#213","title":"2.1.3. \u590d\u6742\u5ea6\u5206\u6790\u91cd\u8981\u6027","text":"<p>\u590d\u6742\u5ea6\u5206\u6790\u7ed9\u51fa\u4e00\u628a\u8bc4\u4ef7\u7b97\u6cd5\u6548\u7387\u7684\u201c\u6807\u5c3a\u201d\uff0c\u544a\u8bc9\u6211\u4eec\u6267\u884c\u67d0\u4e2a\u7b97\u6cd5\u9700\u8981\u591a\u5c11\u65f6\u95f4\u548c\u7a7a\u95f4\u8d44\u6e90\uff0c\u4e5f\u8ba9\u6211\u4eec\u53ef\u4ee5\u5f00\u5c55\u4e0d\u540c\u7b97\u6cd5\u4e4b\u95f4\u7684\u6548\u7387\u5bf9\u6bd4\u3002</p> <p>\u8ba1\u7b97\u590d\u6742\u5ea6\u662f\u4e2a\u6570\u5b66\u6982\u5ff5\uff0c\u5bf9\u4e8e\u521d\u5b66\u8005\u53ef\u80fd\u6bd4\u8f83\u62bd\u8c61\uff0c\u5b66\u4e60\u96be\u5ea6\u76f8\u5bf9\u8f83\u9ad8\u3002\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u51fa\u53d1\uff0c\u5176\u5e76\u4e0d\u9002\u5408\u4f5c\u4e3a\u7b2c\u4e00\u7ae0\u5185\u5bb9\u3002\u4f46\u662f\uff0c\u5f53\u6211\u4eec\u8ba8\u8bba\u67d0\u4e2a\u6570\u636e\u7ed3\u6784\u6216\u8005\u7b97\u6cd5\u7684\u7279\u70b9\u65f6\uff0c\u96be\u4ee5\u907f\u514d\u9700\u8981\u5206\u6790\u5b83\u7684\u8fd0\u884c\u901f\u5ea6\u548c\u7a7a\u95f4\u4f7f\u7528\u60c5\u51b5\u3002\u56e0\u6b64\uff0c\u5728\u5c55\u5f00\u5b66\u4e60\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u4e4b\u524d\uff0c\u5efa\u8bae\u8bfb\u8005\u5148\u5bf9\u8ba1\u7b97\u590d\u6742\u5ea6\u5efa\u7acb\u8d77\u521d\u6b65\u7684\u4e86\u89e3\uff0c\u5e76\u4e14\u80fd\u591f\u5b8c\u6210\u7b80\u5355\u6848\u4f8b\u7684\u590d\u6742\u5ea6\u5206\u6790\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/","title":"2.3. \u7a7a\u95f4\u590d\u6742\u5ea6","text":"<p>\u300c\u7a7a\u95f4\u590d\u6742\u5ea6 Space Complexity\u300d\u7edf\u8ba1 \u7b97\u6cd5\u4f7f\u7528\u5185\u5b58\u7a7a\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002\u8fd9\u4e2a\u6982\u5ff5\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u5f88\u7c7b\u4f3c\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/#231","title":"2.3.1. \u7b97\u6cd5\u76f8\u5173\u7a7a\u95f4","text":"<p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\uff0c\u4f7f\u7528\u7684\u5185\u5b58\u7a7a\u95f4\u4e3b\u8981\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a</p> <ul> <li>\u300c\u8f93\u5165\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u7684\u8f93\u5165\u6570\u636e\uff1b</li> <li>\u300c\u6682\u5b58\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u53d8\u91cf\u3001\u5bf9\u8c61\u3001\u51fd\u6570\u4e0a\u4e0b\u6587\u7b49\u6570\u636e\uff1b</li> <li>\u300c\u8f93\u51fa\u7a7a\u95f4\u300d\u7528\u4e8e\u5b58\u50a8\u7b97\u6cd5\u7684\u8f93\u51fa\u6570\u636e\uff1b</li> </ul> <p>Tip</p> <p>\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u7edf\u8ba1\u8303\u56f4\u662f\u300c\u6682\u5b58\u7a7a\u95f4\u300d+\u300c\u8f93\u51fa\u7a7a\u95f4\u300d\u3002</p> <p>\u6682\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u4e09\u4e2a\u90e8\u5206\uff1a</p> <ul> <li>\u300c\u6682\u5b58\u6570\u636e\u300d\u7528\u4e8e\u4fdd\u5b58\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u5404\u79cd \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61 \u7b49\u3002</li> <li>\u300c\u6808\u5e27\u7a7a\u95f4\u300d\u7528\u4e8e\u4fdd\u5b58\u8c03\u7528\u51fd\u6570\u7684\u4e0a\u4e0b\u6587\u6570\u636e\u3002\u7cfb\u7edf\u6bcf\u6b21\u8c03\u7528\u51fd\u6570\u90fd\u4f1a\u5728\u6808\u7684\u9876\u90e8\u521b\u5efa\u4e00\u4e2a\u6808\u5e27\uff0c\u51fd\u6570\u8fd4\u56de\u65f6\uff0c\u6808\u5e27\u7a7a\u95f4\u4f1a\u88ab\u91ca\u653e\u3002</li> <li>\u300c\u6307\u4ee4\u7a7a\u95f4\u300d\u7528\u4e8e\u4fdd\u5b58\u7f16\u8bd1\u540e\u7684\u7a0b\u5e8f\u6307\u4ee4\uff0c\u5728\u5b9e\u9645\u7edf\u8ba1\u4e2d\u4e00\u822c\u5ffd\u7565\u4e0d\u8ba1\u3002</li> </ul> <p></p> <p> Fig. \u7b97\u6cd5\u4f7f\u7528\u7684\u76f8\u5173\u7a7a\u95f4 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u7c7b */\nclass Node {\nint val;\nNode next;\nNode(int x) { val = x; }\n}\n/* \u51fd\u6570 */\nint function() {\n// do something...\nreturn 0;\n}\nint algorithm(int n) {        // \u8f93\u5165\u6570\u636e\nfinal int a = 0;          // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = function();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7ed3\u6784\u4f53 */\nstruct Node {\nint val;\nNode *next;\nNode(int x) : val(x), next(nullptr) {}\n};\n/* \u51fd\u6570 */\nint func() {\n// do something...\nreturn 0;\n}\nint algorithm(int n) {        // \u8f93\u5165\u6570\u636e\nconst int a = 0;          // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode* node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = func();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\"\"\" \u7c7b \"\"\"\nclass Node:\ndef __init__(self, x):\nself.val = x      # \u7ed3\u70b9\u503c\nself.next = None  # \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u6307\u9488\uff08\u5f15\u7528\uff09\n\"\"\" \u51fd\u6570 \"\"\"\ndef function():\n# do something...\nreturn 0\ndef algorithm(n):     # \u8f93\u5165\u6570\u636e\nb = 0             # \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nnode = Node(0)    # \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nc = function()    # \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c  # \u8f93\u51fa\u6570\u636e\n</code></pre> <pre><code>/* \u7ed3\u6784\u4f53 */\ntype node struct {\nval  int\nnext *node\n}\n/* \u521b\u5efa node \u7ed3\u6784\u4f53  */\nfunc newNode(val int) *node {\nreturn &amp;node{val: val}\n}\n/* \u51fd\u6570 */\nfunc function() int {\n// do something...\nreturn 0\n}\nfunc algorithm(n int) int { // \u8f93\u5165\u6570\u636e\nconst a = 0             // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nb := 0                  // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nnewNode(0)              // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nc := function()         // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c        // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nval;\nnext;\nconstructor(val) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.next = null;                       // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n/* \u51fd\u6570 */\nfunction constFunc() {\n// do something\nreturn 0;\n}\nfunction algorithm(n) {       // \u8f93\u5165\u6570\u636e\nconst a = 0;              // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nconst b = 0;              // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nconst node = new Node(0); // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nconst c = constFunc();    // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nval: number;\nnext: Node | null;\nconstructor(val?: number) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.next = null;                       // \u6307\u5411\u4e0b\u4e00\u7ed3\u70b9\u7684\u5f15\u7528\n}\n}\n/* \u51fd\u6570 */\nfunction constFunc(): number {\n// do something\nreturn 0;\n}\nfunction algorithm(n: number): number { // \u8f93\u5165\u6570\u636e\nconst a = 0;                        // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nconst b = 0;                        // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nconst node = new Node(0);           // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nconst c = constFunc();              // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;                   // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u7c7b */\nclass Node\n{\nint val;\nNode next;\nNode(int x) { val = x; }\n}\n/* \u51fd\u6570 */\nint function()\n{\n// do something...\nreturn 0;\n}\nint algorithm(int n)          // \u8f93\u5165\u6570\u636e\n{\nint a = 0;                // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nint b = 0;                // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nNode node = new Node(0);  // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nint c = function();       // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c;         // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>/* \u7c7b */\nclass Node {\nvar val: Int\nvar next: Node?\ninit(x: Int) {\nval = x\n}\n}\n/* \u51fd\u6570 */\nfunc function() -&gt; Int {\n// do something...\nreturn 0\n}\nfunc algorithm(n: Int) -&gt; Int { // \u8f93\u5165\u6570\u636e\nlet a = 0 // \u6682\u5b58\u6570\u636e\uff08\u5e38\u91cf\uff09\nvar b = 0 // \u6682\u5b58\u6570\u636e\uff08\u53d8\u91cf\uff09\nlet node = Node(x: 0) // \u6682\u5b58\u6570\u636e\uff08\u5bf9\u8c61\uff09\nlet c = function() // \u6808\u5e27\u7a7a\u95f4\uff08\u8c03\u7528\u51fd\u6570\uff09\nreturn a + b + c // \u8f93\u51fa\u6570\u636e\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#232","title":"2.3.2. \u63a8\u7b97\u65b9\u6cd5","text":"<p>\u7a7a\u95f4\u590d\u6742\u5ea6\u7684\u63a8\u7b97\u65b9\u6cd5\u548c\u65f6\u95f4\u590d\u6742\u5ea6\u603b\u4f53\u7c7b\u4f3c\uff0c\u53ea\u662f\u4ece\u7edf\u8ba1\u201c\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\u201d\u53d8\u4e3a\u7edf\u8ba1\u201c\u4f7f\u7528\u7a7a\u95f4\u5927\u5c0f\u201d\u3002\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u540c\u7684\u662f\uff0c\u6211\u4eec\u4e00\u822c\u53ea\u5173\u6ce8\u300c\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\u3002\u8fd9\u662f\u56e0\u4e3a\u5185\u5b58\u7a7a\u95f4\u662f\u4e00\u4e2a\u786c\u6027\u8981\u6c42\uff0c\u6211\u4eec\u5fc5\u987b\u4fdd\u8bc1\u5728\u6240\u6709\u8f93\u5165\u6570\u636e\u4e0b\u90fd\u6709\u8db3\u591f\u7684\u5185\u5b58\u7a7a\u95f4\u9884\u7559\u3002</p> <p>\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e2d\u7684\u201c\u6700\u5dee\u201d\u6709\u4e24\u5c42\u542b\u4e49\uff0c\u5206\u522b\u4e3a\u8f93\u5165\u6570\u636e\u7684\u6700\u5dee\u5206\u5e03\u3001\u7b97\u6cd5\u8fd0\u884c\u4e2d\u7684\u6700\u5dee\u65f6\u95f4\u70b9\u3002</p> <ul> <li>\u4ee5\u6700\u5dee\u8f93\u5165\u6570\u636e\u4e3a\u51c6\u3002\u5f53 \\(n &lt; 10\\) \u65f6\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \uff1b\u4f46\u662f\u5f53 \\(n &gt; 10\\) \u65f6\uff0c\u521d\u59cb\u5316\u7684\u6570\u7ec4 <code>nums</code> \u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\uff1b\u56e0\u6b64\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff1b</li> <li>\u4ee5\u7b97\u6cd5\u8fd0\u884c\u8fc7\u7a0b\u4e2d\u7684\u5cf0\u503c\u5185\u5b58\u4e3a\u51c6\u3002\u7a0b\u5e8f\u5728\u6267\u884c\u6700\u540e\u4e00\u884c\u4e4b\u524d\uff0c\u4f7f\u7528 \\(O(1)\\) \u7a7a\u95f4\uff1b\u5f53\u521d\u59cb\u5316\u6570\u7ec4 <code>nums</code> \u65f6\uff0c\u7a0b\u5e8f\u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\uff1b\u56e0\u6b64\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff1b</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 0;                   // O(1)\nint[] b = new int[10000];    // O(1)\nif (n &gt; 10)\nint[] nums = new int[n]; // O(n)\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 0;               // O(1)\nvector&lt;int&gt; b(10000);    // O(1)\nif (n &gt; 10)\nvector&lt;int&gt; nums(n); // O(n)\n}\n</code></pre> <pre><code>def algorithm(n):\na = 0               # O(1)\nb = [0] * 10000     # O(1)\nif n &gt; 10:\nnums = [0] * n  # O(n)\n</code></pre> <pre><code>func algorithm(n int) {\na := 0                      // O(1)\nb := make([]int, 10000)     // O(1)\nvar nums []int\nif n &gt; 10 {\nnums := make([]int, n)  // O(n)\n}\nfmt.Println(a, b, nums)\n}\n</code></pre> <pre><code>function algorithm(n) {\nconst a = 0;                   // O(1)\nconst b = new Array(10000);    // O(1)\nif (n &gt; 10) {\nconst nums = new Array(n); // O(n)\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void {\nconst a = 0;                   // O(1)\nconst b = new Array(10000);    // O(1)\nif (n &gt; 10) {\nconst nums = new Array(n); // O(n)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>void algorithm(int n)\n{\nint a = 0;                   // O(1)\nint[] b = new int[10000];    // O(1)\nif (n &gt; 10)\n{\nint[] nums = new int[n]; // O(n)\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nlet a = 0 // O(1)\nlet b = Array(repeating: 0, count: 10000) // O(1)\nif n &gt; 10 {\nlet nums = Array(repeating: 0, count: n) // O(n)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u5728\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u9700\u8981\u6ce8\u610f\u7edf\u8ba1\u6808\u5e27\u7a7a\u95f4\u3002\u4f8b\u5982\u51fd\u6570 <code>loop()</code>\uff0c\u5728\u5faa\u73af\u4e2d\u8c03\u7528\u4e86 \\(n\\) \u6b21 <code>function()</code> \uff0c\u6bcf\u8f6e\u4e2d\u7684 <code>function()</code> \u90fd\u8fd4\u56de\u5e76\u91ca\u653e\u4e86\u6808\u5e27\u7a7a\u95f4\uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(1)\\) \u3002\u800c\u9012\u5f52\u51fd\u6570 <code>recur()</code> \u5728\u8fd0\u884c\u4e2d\u4f1a\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>recur()</code> \uff0c\u4ece\u800c\u4f7f\u7528 \\(O(n)\\) \u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>int function() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n) {\nfor (int i = 0; i &lt; n; i++) {\nfunction();\n}\n}\n/* \u9012\u5f52 O(n) */\nvoid recur(int n) {\nif (n == 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>int func() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n) {\nfor (int i = 0; i &lt; n; i++) {\nfunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nvoid recur(int n) {\nif (n == 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>def function():\n# do something\nreturn 0\n\"\"\" \u5faa\u73af O(1) \"\"\"\ndef loop(n):\nfor _ in range(n):\nfunction()\n\"\"\" \u9012\u5f52 O(n) \"\"\"\ndef recur(n):\nif n == 1: return\nreturn recur(n - 1)\n</code></pre> <pre><code>func function() int {\n// do something\nreturn 0\n}\n/* \u5faa\u73af O(1) */\nfunc loop(n int) {\nfor i := 0; i &lt; n; i++ {\nfunction()\n}\n}\n/* \u9012\u5f52 O(n) */\nfunc recur(n int) {\nif n == 1 {\nreturn\n}\nrecur(n - 1)\n}\n</code></pre> <pre><code>function constFunc() {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nfunction loop(n) {\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nfunction recur(n) {\nif (n === 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>function constFunc(): number {\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nfunction loop(n: number): void {\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n/* \u9012\u5f52 O(n) */\nfunction recur(n: number): void {\nif (n === 1) return;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>int function()\n{\n// do something\nreturn 0;\n}\n/* \u5faa\u73af O(1) */\nvoid loop(int n)\n{\nfor (int i = 0; i &lt; n; i++)\n{\nfunction();\n}\n}\n/* \u9012\u5f52 O(n) */\nint recur(int n)\n{\nif (n == 1) return 1;\nreturn recur(n - 1);\n}\n</code></pre> <pre><code>@discardableResult\nfunc function() -&gt; Int {\n// do something\nreturn 0\n}\n/* \u5faa\u73af O(1) */\nfunc loop(n: Int) {\nfor _ in 0 ..&lt; n {\nfunction()\n}\n}\n/* \u9012\u5f52 O(n) */\nfunc recur(n: Int) {\nif n == 1 {\nreturn\n}\nrecur(n: n - 1)\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#233","title":"2.3.3. \u5e38\u89c1\u7c7b\u578b","text":"<p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u5e38\u89c1\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u7c7b\u578b\u6709\uff08\u4ece\u4f4e\u5230\u9ad8\u6392\u5217\uff09</p> \\[ \\begin{aligned} O(1) &lt; O(\\log n) &lt; O(n) &lt; O(n^2) &lt; O(2^n) \\newline \\text{\u5e38\u6570\u9636} &lt; \\text{\u5bf9\u6570\u9636} &lt; \\text{\u7ebf\u6027\u9636} &lt; \\text{\u5e73\u65b9\u9636} &lt; \\text{\u6307\u6570\u9636} \\end{aligned} \\] <p></p> <p> Fig. \u7a7a\u95f4\u590d\u6742\u5ea6\u7684\u5e38\u89c1\u7c7b\u578b </p> <p>Tip</p> <p>\u90e8\u5206\u793a\u4f8b\u4ee3\u7801\u9700\u8981\u4e00\u4e9b\u524d\u7f6e\u77e5\u8bc6\uff0c\u5305\u62ec\u6570\u7ec4\u3001\u94fe\u8868\u3001\u4e8c\u53c9\u6811\u3001\u9012\u5f52\u7b97\u6cd5\u7b49\u3002\u5982\u679c\u9047\u5230\u770b\u4e0d\u61c2\u7684\u5730\u65b9\u65e0\u9700\u62c5\u5fc3\uff0c\u53ef\u4ee5\u5728\u5b66\u4e60\u5b8c\u540e\u9762\u7ae0\u8282\u540e\u518d\u6765\u590d\u4e60\uff0c\u73b0\u9636\u6bb5\u5148\u805a\u7126\u5728\u7406\u89e3\u7a7a\u95f4\u590d\u6742\u5ea6\u542b\u4e49\u548c\u63a8\u7b97\u65b9\u6cd5\u4e0a\u3002</p>"},{"location":"chapter_computational_complexity/space_complexity/#o1","title":"\u5e38\u6570\u9636 \\(O(1)\\)","text":"<p>\u5e38\u6570\u9636\u5e38\u89c1\u4e8e\u6570\u91cf\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\u7684\u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u3002</p> <p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5728\u5faa\u73af\u4e2d\u521d\u59cb\u5316\u53d8\u91cf\u6216\u8c03\u7528\u51fd\u6570\u800c\u5360\u7528\u7684\u5185\u5b58\uff0c\u5728\u8fdb\u5165\u4e0b\u4e00\u5faa\u73af\u540e\u5c31\u4f1a\u88ab\u91ca\u653e\uff0c\u5373\u4e0d\u4f1a\u7d2f\u79ef\u5360\u7528\u7a7a\u95f4\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(1)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nfinal int a = 0;\nint b = 0;\nint[] nums = new int[10000];\nListNode node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nfunction();\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst int a = 0;\nint b = 0;\nvector&lt;int&gt; nums(10000);\nListNode node(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++) {\nfunc();\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e38\u6570\u9636 \"\"\"\ndef constant(n):\n# \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\na = 0\nnums = [0] * 10000\nnode = ListNode(0)\n# \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in range(n):\nc = 0\n# \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in range(n):\nfunction()\n</code></pre> space_complexity.go<pre><code>/* \u5e38\u6570\u9636 */\nfunc spaceConstant(n int) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0\nb := 0\nnums := make([]int, 10000)\nListNode := newNode(0)\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nvar c int\nfor i := 0; i &lt; n; i++ {\nc = 0\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor i := 0; i &lt; n; i++ {\nfunction()\n}\nfmt.Println(a, b, nums, c, ListNode)\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0;\nconst b = 0;\nconst nums = new Array(10000);\nconst node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconst c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n: number): void {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a = 0;\nconst b = 0;\nconst nums = new Array(10000);\nconst node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconst c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (let i = 0; i &lt; n; i++) {\nconstFunc();\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceConstant}\n</code></pre> space_complexity.cs<pre><code>/* \u5e38\u6570\u9636 */\nvoid constant(int n)\n{\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nint a = 0;\nint b = 0;\nint[] nums = new int[10000];\nListNode node = new ListNode(0);\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++)\n{\nint c = 0;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor (int i = 0; i &lt; n; i++)\n{\nfunction();\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n: Int) {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nlet a = 0\nvar b = 0\nlet nums = Array(repeating: 0, count: 10000)\nlet node = ListNode(x: 0)\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in 0 ..&lt; n {\nlet c = 0\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\nfor _ in 0 ..&lt; n {\nfunction()\n}\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e38\u6570\u9636\nfn constant(n: i32) void {\n// \u5e38\u91cf\u3001\u53d8\u91cf\u3001\u5bf9\u8c61\u5360\u7528 O(1) \u7a7a\u95f4\nconst a: i32 = 0;\nvar b: i32 = 0;\nvar nums = [_]i32{0}**10000;\nvar node = inc.ListNode(i32){.val = 0};\nvar i: i32 = 0;\n// \u5faa\u73af\u4e2d\u7684\u53d8\u91cf\u5360\u7528 O(1) \u7a7a\u95f4\nwhile (i &lt; n) : (i += 1) {\nvar c: i32 = 0;\n_ = c;\n}\n// \u5faa\u73af\u4e2d\u7684\u51fd\u6570\u5360\u7528 O(1) \u7a7a\u95f4\ni = 0;\nwhile (i &lt; n) : (i += 1) {\n_ = function();\n}\n_ = a;\n_ = b;\n_ = nums;\n_ = node;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/space_complexity/#on","title":"\u7ebf\u6027\u9636 \\(O(n)\\)","text":"<p>\u7ebf\u6027\u9636\u5e38\u89c1\u4e8e\u5143\u7d20\u6570\u91cf\u4e0e \\(n\\) \u6210\u6b63\u6bd4\u7684\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u7b49\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nint[] nums = new int[n];\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nList&lt;ListNode&gt; nodes = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nnodes.add(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nMap&lt;Integer, String&gt; map = new HashMap&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nmap.put(i, String.valueOf(i));\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nvector&lt;int&gt; nums(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvector&lt;ListNode&gt; nodes;\nfor (int i = 0; i &lt; n; i++) {\nnodes.push_back(ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nunordered_map&lt;int, string&gt; map;\nfor (int i = 0; i &lt; n; i++) {\nmap[i] = to_string(i);\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636 \"\"\"\ndef linear(n):\n# \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nnums = [0] * n\n# \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nmapp = {}\nfor i in range(n):\nmapp[i] = str(i)\n</code></pre> space_complexity.go<pre><code>/* \u7ebf\u6027\u9636 */\nfunc spaceLinear(n int) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\n_ = make([]int, n)\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar nodes []*node\nfor i := 0; i &lt; n; i++ {\nnodes = append(nodes, newNode(i))\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nm := make(map[int]string, n)\nfor i := 0; i &lt; n; i++ {\nm[i] = strconv.Itoa(i)\n}\n}\n</code></pre> space_complexity.js<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nconst nums = new Array(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst nodes = [];\nfor (let i = 0; i &lt; n; i++) {\nnodes.push(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst map = new Map();\nfor (let i = 0; i &lt; n; i++) {\nmap.set(i, i.toString());\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n: number): void {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nconst nums = new Array(n);\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst nodes: ListNode[] = [];\nfor (let i = 0; i &lt; n; i++) {\nnodes.push(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nconst map = new Map();\nfor (let i = 0; i &lt; n; i++) {\nmap.set(i, i.toString());\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceLinear}\n</code></pre> space_complexity.cs<pre><code>/* \u7ebf\u6027\u9636 */\nvoid linear(int n)\n{\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nint[] nums = new int[n];\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nList&lt;ListNode&gt; nodes = new();\nfor (int i = 0; i &lt; n; i++)\n{\nnodes.Add(new ListNode(i));\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nDictionary&lt;int, String&gt; map = new();\nfor (int i = 0; i &lt; n; i++)\n{\nmap.Add(i, i.ToString());\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n: Int) {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nlet nums = Array(repeating: 0, count: n)\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nlet nodes = (0 ..&lt; n).map { ListNode(x: $0) }\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nlet map = Dictionary(uniqueKeysWithValues: (0 ..&lt; n).map { ($0, \"\\($0)\") })\n}\n</code></pre> space_complexity.zig<pre><code>// \u7ebf\u6027\u9636\nfn linear(comptime n: i32) !void {\n// \u957f\u5ea6\u4e3a n \u7684\u6570\u7ec4\u5360\u7528 O(n) \u7a7a\u95f4\nvar nums = [_]i32{0}**n;\n// \u957f\u5ea6\u4e3a n \u7684\u5217\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar nodes = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer nodes.deinit();\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\ntry nodes.append(i);\n}\n// \u957f\u5ea6\u4e3a n \u7684\u54c8\u5e0c\u8868\u5360\u7528 O(n) \u7a7a\u95f4\nvar map = std.AutoArrayHashMap(i32, []const u8).init(std.heap.page_allocator);\ndefer map.deinit();\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\nconst string = try std.fmt.allocPrint(std.heap.page_allocator, \"{d}\", .{j});\ndefer std.heap.page_allocator.free(string);\ntry map.put(i, string);\n}\n_ = nums;\n}\n</code></pre> <p>\u4ee5\u4e0b\u9012\u5f52\u51fd\u6570\u4f1a\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>algorithm()</code> \u51fd\u6570\uff0c\u4f7f\u7528 \\(O(n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n) {\nSystem.out.println(\"\u9012\u5f52 n = \" + n);\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n) {\ncout &lt;&lt; \"\u9012\u5f52 n = \" &lt;&lt; n &lt;&lt; endl;\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 \"\"\"\ndef linear_recur(n):\nprint(\"\u9012\u5f52 n =\", n)\nif n == 1: return\nlinear_recur(n - 1)\n</code></pre> space_complexity.go<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc spaceLinearRecur(n int) {\nfmt.Println(\"\u9012\u5f52 n =\", n)\nif n == 1 {\nreturn\n}\nspaceLinearRecur(n - 1)\n}\n</code></pre> space_complexity.js<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction linearRecur(n) {\nconsole.log(`\u9012\u5f52 n = ${n}`);\nif (n === 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.ts<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction linearRecur(n: number): void {\nconsole.log(`\u9012\u5f52 n = ${n}`);\nif (n === 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceLinearRecur}\n</code></pre> space_complexity.cs<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nvoid linearRecur(int n)\n{\nConsole.WriteLine(\"\u9012\u5f52 n = \" + n);\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> space_complexity.swift<pre><code>/* \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc linearRecur(n: Int) {\nprint(\"\u9012\u5f52 n = \\(n)\")\nif n == 1 {\nreturn\n}\nlinearRecur(n: n - 1)\n}\n</code></pre> space_complexity.zig<pre><code>// \u7ebf\u6027\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn linearRecur(comptime n: i32) void {\nstd.debug.print(\"\u9012\u5f52 n = {}\\n\", .{n});\nif (n == 1) return;\nlinearRecur(n - 1);\n}\n</code></pre> <p></p> <p> Fig. \u9012\u5f52\u51fd\u6570\u4ea7\u751f\u7684\u7ebf\u6027\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#on2","title":"\u5e73\u65b9\u9636 \\(O(n^2)\\)","text":"<p>\u5e73\u65b9\u9636\u5e38\u89c1\u4e8e\u5143\u7d20\u6570\u91cf\u4e0e \\(n\\) \u6210\u5e73\u65b9\u5173\u7cfb\u7684\u77e9\u9635\u3001\u56fe\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nint[][] numMatrix = new int[n][n];\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nList&lt;List&lt;Integer&gt;&gt; numList = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; n; i++) {\nList&lt;Integer&gt; tmp = new ArrayList&lt;&gt;();\nfor (int j = 0; j &lt; n; j++) {\ntmp.add(0);\n}\nnumList.add(tmp);\n}\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n) {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nvector&lt;vector&lt;int&gt;&gt; numMatrix;\nfor (int i = 0; i &lt; n; i++) {\nvector&lt;int&gt; tmp;\nfor (int j = 0; j &lt; n; j++) {\ntmp.push_back(0);\n}\nnumMatrix.push_back(tmp);\n}\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636 \"\"\"\ndef quadratic(n):\n# \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nnum_matrix = [[0] * n for _ in range(n)]\n</code></pre> space_complexity.go<pre><code>/* \u5e73\u65b9\u9636 */\nfunc spaceQuadratic(n int) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nnumMatrix := make([][]int, n)\nfor i := 0; i &lt; n; i++ {\nnumMatrix[i] = make([]int, n)\n}\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n) {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numMatrix = Array(n).fill(null).map(() =&gt; Array(n).fill(null));\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numList = [];\nfor (let i = 0; i &lt; n; i++) {\nconst tmp = [];\nfor (let j = 0; j &lt; n; j++) {\ntmp.push(0);\n}\nnumList.push(tmp);\n}\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n: number): void {\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numMatrix = Array(n).fill(null).map(() =&gt; Array(n).fill(null));\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nconst numList = [];\nfor (let i = 0; i &lt; n; i++) {\nconst tmp = [];\nfor (let j = 0; j &lt; n; j++) {\ntmp.push(0);\n}\nnumList.push(tmp);\n}\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceQuadratic}\n</code></pre> space_complexity.cs<pre><code>/* \u5e73\u65b9\u9636 */\nvoid quadratic(int n)\n{\n// \u77e9\u9635\u5360\u7528 O(n^2) \u7a7a\u95f4\nint[,] numMatrix = new int[n, n];\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nList&lt;List&lt;int&gt;&gt; numList = new();\nfor (int i = 0; i &lt; n; i++)\n{\nList&lt;int&gt; tmp = new();\nfor (int j = 0; j &lt; n; j++)\n{\ntmp.Add(0);\n}\nnumList.Add(tmp);\n}\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n: Int) {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nlet numList = Array(repeating: Array(repeating: 0, count: n), count: n)\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e73\u65b9\u9636\nfn quadratic(n: i32) !void {\n// \u4e8c\u7ef4\u5217\u8868\u5360\u7528 O(n^2) \u7a7a\u95f4\nvar nodes = std.ArrayList(std.ArrayList(i32)).init(std.heap.page_allocator);\ndefer nodes.deinit();\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\nvar tmp = std.ArrayList(i32).init(std.heap.page_allocator);\ndefer tmp.deinit();\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\ntry tmp.append(0);\n}\ntry nodes.append(tmp);\n}\n}\n</code></pre> <p>\u5728\u4ee5\u4e0b\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u540c\u65f6\u5b58\u5728 \\(n\\) \u4e2a\u672a\u8fd4\u56de\u7684 <code>algorithm()</code> \uff0c\u5e76\u4e14\u6bcf\u4e2a\u51fd\u6570\u4e2d\u90fd\u521d\u59cb\u5316\u4e86\u4e00\u4e2a\u6570\u7ec4\uff0c\u957f\u5ea6\u5206\u522b\u4e3a \\(n, n-1, n-2, ..., 2, 1\\) \uff0c\u5e73\u5747\u957f\u5ea6\u4e3a \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u603b\u4f53\u4f7f\u7528 \\(O(n^2)\\) \u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n) {\nif (n &lt;= 0) return 0;\n// \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nint[] nums = new int[n];\nSystem.out.println(\"\u9012\u5f52 n = \" + n + \" \u4e2d\u7684 nums \u957f\u5ea6 = \" + nums.length);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n) {\nif (n &lt;= 0) return 0;\nvector&lt;int&gt; nums(n);\ncout &lt;&lt; \"\u9012\u5f52 n = \" &lt;&lt; n &lt;&lt; \" \u4e2d\u7684 nums \u957f\u5ea6 = \" &lt;&lt; nums.size() &lt;&lt; endl;\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 \"\"\"\ndef quadratic_recur(n):\nif n &lt;= 0: return 0\n# \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nnums = [0] * n\nreturn quadratic_recur(n - 1)\n</code></pre> space_complexity.go<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc spaceQuadraticRecur(n int) int {\nif n &lt;= 0 {\nreturn 0\n}\nnums := make([]int, n)\nfmt.Printf(\"\u9012\u5f52 n = %d \u4e2d\u7684 nums \u957f\u5ea6 = %d \\n\", n, len(nums))\nreturn spaceQuadraticRecur(n - 1)\n}\n</code></pre> space_complexity.js<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction quadraticRecur(n) {\nif (n &lt;= 0) return 0;\nconst nums = new Array(n);\nconsole.log(`\u9012\u5f52 n = ${n} \u4e2d\u7684 nums \u957f\u5ea6 = ${nums.length}`);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.ts<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction quadraticRecur(n: number): number {\nif (n &lt;= 0) return 0;\nconst nums = new Array(n);\nconsole.log(`\u9012\u5f52 n = ${n} \u4e2d\u7684 nums \u957f\u5ea6 = ${nums.length}`);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{spaceQuadraticRecur}\n</code></pre> space_complexity.cs<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint quadraticRecur(int n)\n{\nif (n &lt;= 0) return 0;\nint[] nums = new int[n];\nConsole.WriteLine(\"\u9012\u5f52 n = \" + n + \" \u4e2d\u7684 nums \u957f\u5ea6 = \" + nums.Length);\nreturn quadraticRecur(n - 1);\n}\n</code></pre> space_complexity.swift<pre><code>/* \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\n@discardableResult\nfunc quadraticRecur(n: Int) -&gt; Int {\nif n &lt;= 0 {\nreturn 0\n}\n// \u6570\u7ec4 nums \u957f\u5ea6\u4e3a n, n-1, ..., 2, 1\nlet nums = Array(repeating: 0, count: n)\nprint(\"\u9012\u5f52 n = \\(n) \u4e2d\u7684 nums \u957f\u5ea6 = \\(nums.count)\")\nreturn quadraticRecur(n: n - 1)\n}\n</code></pre> space_complexity.zig<pre><code>// \u5e73\u65b9\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn quadraticRecur(comptime n: i32) i32 {\nif (n &lt;= 0) return 0;\nvar nums = [_]i32{0}**n;\nstd.debug.print(\"\u9012\u5f52 n = {} \u4e2d\u7684 nums \u957f\u5ea6 = {}\\n\", .{n, nums.len});\nreturn quadraticRecur(n - 1);\n}\n</code></pre> <p></p> <p> Fig. \u9012\u5f52\u51fd\u6570\u4ea7\u751f\u7684\u5e73\u65b9\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#o2n","title":"\u6307\u6570\u9636 \\(O(2^n)\\)","text":"<p>\u6307\u6570\u9636\u5e38\u89c1\u4e8e\u4e8c\u53c9\u6811\u3002\u9ad8\u5ea6\u4e3a \\(n\\) \u7684\u300c\u6ee1\u4e8c\u53c9\u6811\u300d\u7684\u7ed3\u70b9\u6570\u91cf\u4e3a \\(2^n - 1\\) \uff0c\u4f7f\u7528 \\(O(2^n)\\) \u7a7a\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig space_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode buildTree(int n) {\nif (n == 0) return null;\nTreeNode root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode* buildTree(int n) {\nif (n == 0) return nullptr;\nTreeNode* root = new TreeNode(0);\nroot-&gt;left = buildTree(n - 1);\nroot-&gt;right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 \"\"\"\ndef build_tree(n):\nif n == 0: return None\nroot = TreeNode(0)\nroot.left = build_tree(n - 1)\nroot.right = build_tree(n - 1)\nreturn root\n</code></pre> space_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunc buildTree(n int) *treeNode {\nif n == 0 {\nreturn nil\n}\nroot := newTreeNode(0)\nroot.left = buildTree(n - 1)\nroot.right = buildTree(n - 1)\nreturn root\n}\n</code></pre> space_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunction buildTree(n) {\nif (n === 0) return null;\nconst root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunction buildTree(n: number): TreeNode | null {\nif (n === 0) return null;\nconst root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.c<pre><code>[class]{}-[func]{buildTree}\n</code></pre> space_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nTreeNode? buildTree(int n)\n{\nif (n == 0) return null;\nTreeNode root = new TreeNode(0);\nroot.left = buildTree(n - 1);\nroot.right = buildTree(n - 1);\nreturn root;\n}\n</code></pre> space_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09 */\nfunc buildTree(n: Int) -&gt; TreeNode? {\nif n == 0 {\nreturn nil\n}\nlet root = TreeNode(x: 0)\nroot.left = buildTree(n: n - 1)\nroot.right = buildTree(n: n - 1)\nreturn root\n}\n</code></pre> space_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u5efa\u7acb\u6ee1\u4e8c\u53c9\u6811\uff09\nfn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) {\nif (n == 0) return null;\nconst root = try mem_allocator.create(inc.TreeNode(i32));\nroot.init(0);\nroot.left = try buildTree(mem_allocator, n - 1);\nroot.right = try buildTree(mem_allocator, n - 1);\nreturn root;\n}\n</code></pre> <p></p> <p> Fig. \u6ee1\u4e8c\u53c9\u6811\u4e0b\u7684\u6307\u6570\u9636\u7a7a\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/space_complexity/#olog-n","title":"\u5bf9\u6570\u9636 \\(O(\\log n)\\)","text":"<p>\u5bf9\u6570\u9636\u5e38\u89c1\u4e8e\u5206\u6cbb\u7b97\u6cd5\u3001\u6570\u636e\u7c7b\u578b\u8f6c\u6362\u7b49\u3002</p> <p>\u4f8b\u5982\u300c\u5f52\u5e76\u6392\u5e8f\u300d\uff0c\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6570\u7ec4\u53ef\u4ee5\u5f62\u6210\u9ad8\u5ea6\u4e3a \\(\\log n\\) \u7684\u9012\u5f52\u6811\uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> <p>\u518d\u4f8b\u5982\u300c\u6570\u5b57\u8f6c\u5316\u4e3a\u5b57\u7b26\u4e32\u300d\uff0c\u8f93\u5165\u4efb\u610f\u6b63\u6574\u6570 \\(n\\) \uff0c\u5b83\u7684\u4f4d\u6570\u4e3a \\(\\log_{10} n\\) \uff0c\u5373\u5bf9\u5e94\u5b57\u7b26\u4e32\u957f\u5ea6\u4e3a \\(\\log_{10} n\\) \uff0c\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log_{10} n) = O(\\log n)\\) \u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/","title":"2.4. \u6743\u8861\u65f6\u95f4\u4e0e\u7a7a\u95f4","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u90fd\u80fd\u591f\u8fbe\u5230\u6700\u4f18\uff0c\u800c\u5b9e\u9645\u4e0a\uff0c\u540c\u65f6\u4f18\u5316\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002</p> <p>\u964d\u4f4e\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u5f80\u5f80\u662f\u4ee5\u63d0\u5347\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a\u4ee3\u4ef7\u7684\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002\u6211\u4eec\u628a\u727a\u7272\u5185\u5b58\u7a7a\u95f4\u6765\u63d0\u5347\u7b97\u6cd5\u8fd0\u884c\u901f\u5ea6\u7684\u601d\u8def\u79f0\u4e3a\u300c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u300d\uff1b\u53cd\u4e4b\uff0c\u79f0\u4e4b\u4e3a\u300c\u4ee5\u65f6\u95f4\u6362\u7a7a\u95f4\u300d\u3002\u9009\u62e9\u54ea\u79cd\u601d\u8def\u53d6\u51b3\u4e8e\u6211\u4eec\u66f4\u770b\u91cd\u54ea\u4e2a\u65b9\u9762\u3002</p> <p>\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u90fd\u662f\u6bd4\u7a7a\u95f4\u66f4\u5b9d\u8d35\u7684\uff0c\u53ea\u8981\u7a7a\u95f4\u590d\u6742\u5ea6\u4e0d\u8981\u592a\u79bb\u8c31\u3001\u80fd\u63a5\u53d7\u5c31\u884c\uff0c\u56e0\u6b64\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u6700\u4e3a\u5e38\u7528\u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#241","title":"2.4.1. \u793a\u4f8b\u9898\u76ee *","text":"<p>\u4ee5 LeetCode \u5168\u7ad9\u7b2c\u4e00\u9898 \u4e24\u6570\u4e4b\u548c \u4e3a\u4f8b\u3002</p> <p>\u4e24\u6570\u4e4b\u548c</p> <p>\u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 <code>nums</code> \u548c\u4e00\u4e2a\u6574\u6570\u76ee\u6807\u503c <code>target</code> \uff0c\u8bf7\u4f60\u5728\u8be5\u6570\u7ec4\u4e2d\u627e\u51fa\u201c\u548c\u201d\u4e3a\u76ee\u6807\u503c <code>target</code> \u7684\u90a3\u4e24\u4e2a\u6574\u6570\uff0c\u5e76\u8fd4\u56de\u5b83\u4eec\u7684\u6570\u7ec4\u4e0b\u6807\u3002</p> <p>\u4f60\u53ef\u4ee5\u5047\u8bbe\u6bcf\u79cd\u8f93\u5165\u53ea\u4f1a\u5bf9\u5e94\u4e00\u4e2a\u7b54\u6848\u3002\u4f46\u662f\uff0c\u6570\u7ec4\u4e2d\u540c\u4e00\u4e2a\u5143\u7d20\u5728\u7b54\u6848\u91cc\u4e0d\u80fd\u91cd\u590d\u51fa\u73b0\u3002</p> <p>\u4f60\u53ef\u4ee5\u6309\u4efb\u610f\u987a\u5e8f\u8fd4\u56de\u7b54\u6848\u3002</p> <p>\u300c\u66b4\u529b\u679a\u4e3e\u300d\u548c\u300c\u8f85\u52a9\u54c8\u5e0c\u8868\u300d\u5206\u522b\u4e3a \u7a7a\u95f4\u6700\u4f18 \u548c \u65f6\u95f4\u6700\u4f18 \u7684\u4e24\u79cd\u89e3\u6cd5\u3002\u672c\u7740\u65f6\u95f4\u6bd4\u7a7a\u95f4\u66f4\u5b9d\u8d35\u7684\u539f\u5219\uff0c\u540e\u8005\u662f\u672c\u9898\u7684\u6700\u4f73\u89e3\u6cd5\u3002</p>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#_1","title":"\u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(N^2)\\) \uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff0c\u5c5e\u4e8e\u300c\u65f6\u95f4\u6362\u7a7a\u95f4\u300d\u3002</p> <p>\u867d\u7136\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\uff0c\u4f46\u8fd0\u884c\u901f\u5ea6\u8fc7\u6162\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig leetcode_two_sum.java<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nint[] twoSumBruteForce(int[] nums, int target) {\nint size = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++) {\nfor (int j = i + 1; j &lt; size; j++) {\nif (nums[i] + nums[j] == target)\nreturn new int[] { i, j };\n}\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.cpp<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nvector&lt;int&gt; twoSumBruteForce(vector&lt;int&gt;&amp; nums, int target) {\nint size = nums.size();\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++) {\nfor (int j = i + 1; j &lt; size; j++) {\nif (nums[i] + nums[j] == target)\nreturn { i, j };\n}\n}\nreturn {};\n}\n</code></pre> leetcode_two_sum.py<pre><code>\"\"\" \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e \"\"\"\ndef two_sum_brute_force(nums: List[int], target: int) -&gt; List[int]:\n# \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i in range(len(nums) - 1):\nfor j in range(i + 1, len(nums)):\nif nums[i] + nums[j] == target:\nreturn i, j\nreturn []\n</code></pre> leetcode_two_sum.go<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunc twoSumBruteForce(nums []int, target int) []int {\nsize := len(nums)\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i := 0; i &lt; size-1; i++ {\nfor j := i + 1; i &lt; size; j++ {\nif nums[i]+nums[j] == target {\nreturn []int{i, j}\n}\n}\n}\nreturn nil\n}\n</code></pre> leetcode_two_sum.js<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunction twoSumBruteForce(nums, target) {\nconst n = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = i + 1; j &lt; n; j++) {\nif (nums[i] + nums[j] === target) {\nreturn [i, j];\n}\n}\n}\nreturn [];\n}\n</code></pre> leetcode_two_sum.ts<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunction twoSumBruteForce(nums: number[], target: number): number[] {\nconst n = nums.length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = i + 1; j &lt; n; j++) {\nif (nums[i] + nums[j] === target) {\nreturn [i, j];\n}\n}\n}\nreturn [];\n};\n</code></pre> leetcode_two_sum.c<pre><code>[class]{}-[func]{twoSumBruteForce}\n</code></pre> leetcode_two_sum.cs<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nint[] twoSumBruteForce(int[] nums, int target)\n{\nint size = nums.Length;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor (int i = 0; i &lt; size - 1; i++)\n{\nfor (int j = i + 1; j &lt; size; j++)\n{\nif (nums[i] + nums[j] == target)\nreturn new int[] { i, j };\n}\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.swift<pre><code>/* \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e */\nfunc twoSumBruteForce(nums: [Int], target: Int) -&gt; [Int] {\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nfor i in nums.indices.dropLast() {\nfor j in nums.indices.dropFirst(i + 1) {\nif nums[i] + nums[j] == target {\nreturn [i, j]\n}\n}\n}\nreturn [0]\n}\n</code></pre> leetcode_two_sum.zig<pre><code>// \u65b9\u6cd5\u4e00\uff1a\u66b4\u529b\u679a\u4e3e\nfn twoSumBruteForce(nums: []i32, target: i32) ?[2]i32 {\nvar size: usize = nums.len;\nvar i: usize = 0;\n// \u4e24\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2)\nwhile (i &lt; size - 1) : (i += 1) {\nvar j = i + 1;\nwhile (j &lt; size) : (j += 1) {\nif (nums[i] + nums[j] == target) {\nreturn [_]i32{@intCast(i32, i), @intCast(i32, j)};\n}\n}\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/space_time_tradeoff/#_2","title":"\u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(N)\\) \uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(N)\\) \uff0c\u5c5e\u4e8e\u300c\u7a7a\u95f4\u6362\u65f6\u95f4\u300d\u3002</p> <p>\u501f\u52a9\u8f85\u52a9\u54c8\u5e0c\u8868 dic \uff0c\u901a\u8fc7\u4fdd\u5b58\u6570\u7ec4\u5143\u7d20\u4e0e\u7d22\u5f15\u7684\u6620\u5c04\u6765\u63d0\u5347\u7b97\u6cd5\u8fd0\u884c\u901f\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig leetcode_two_sum.java<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nint[] twoSumHashTable(int[] nums, int target) {\nint size = nums.length;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nMap&lt;Integer, Integer&gt; dic = new HashMap&lt;&gt;();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++) {\nif (dic.containsKey(target - nums[i])) {\nreturn new int[] { dic.get(target - nums[i]), i };\n}\ndic.put(nums[i], i);\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.cpp<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nvector&lt;int&gt; twoSumHashTable(vector&lt;int&gt;&amp; nums, int target) {\nint size = nums.size();\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nunordered_map&lt;int, int&gt; dic;\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++) {\nif (dic.find(target - nums[i]) != dic.end()) {\nreturn { dic[target - nums[i]], i };\n}\ndic.emplace(nums[i], i);\n}\nreturn {};\n}\n</code></pre> leetcode_two_sum.py<pre><code>\"\"\" \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 \"\"\"\ndef two_sum_hash_table(nums: List[int], target: int) -&gt; List[int]:\n# \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\ndic = {}\n# \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor i in range(len(nums)):\nif target - nums[i] in dic:\nreturn dic[target - nums[i]], i\ndic[nums[i]] = i\nreturn []\n</code></pre> leetcode_two_sum.go<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunc twoSumHashTable(nums []int, target int) []int {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nhashTable := map[int]int{}\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor idx, val := range nums {\nif preIdx, ok := hashTable[target-val]; ok {\nreturn []int{preIdx, idx}\n}\nhashTable[val] = idx\n}\nreturn nil\n}\n</code></pre> leetcode_two_sum.js<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunction twoSumHashTable(nums, target) {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nlet m = {};\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (let i = 0; i &lt; nums.length; i++) {\nif (m[nums[i]] !== undefined) {\nreturn [m[nums[i]], i];\n} else {\nm[target - nums[i]] = i;\n}\n}\nreturn [];\n}\n</code></pre> leetcode_two_sum.ts<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunction twoSumHashTable(nums: number[], target: number): number[] {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nlet m: Map&lt;number, number&gt; = new Map();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (let i = 0; i &lt; nums.length; i++) {\nlet index = m.get(nums[i]);\nif (index !== undefined) {\nreturn [index, i];\n} else {\nm.set(target - nums[i], i);\n}\n}\nreturn [];\n};\n</code></pre> leetcode_two_sum.c<pre><code>[class]{}-[func]{twoSumHashTable}\n</code></pre> leetcode_two_sum.cs<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nint[] twoSumHashTable(int[] nums, int target)\n{\nint size = nums.Length;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nDictionary&lt;int, int&gt; dic = new();\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor (int i = 0; i &lt; size; i++)\n{\nif (dic.ContainsKey(target - nums[i]))\n{\nreturn new int[] { dic[target - nums[i]], i };\n}\ndic.Add(nums[i], i);\n}\nreturn new int[0];\n}\n</code></pre> leetcode_two_sum.swift<pre><code>/* \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868 */\nfunc twoSumHashTable(nums: [Int], target: Int) -&gt; [Int] {\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nvar dic: [Int: Int] = [:]\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nfor i in nums.indices {\nif let j = dic[target - nums[i]] {\nreturn [j, i]\n}\ndic[nums[i]] = i\n}\nreturn [0]\n}\n</code></pre> leetcode_two_sum.zig<pre><code>// \u65b9\u6cd5\u4e8c\uff1a\u8f85\u52a9\u54c8\u5e0c\u8868\nfn twoSumHashTable(nums: []i32, target: i32) !?[2]i32 {\nvar size: usize = nums.len;\n// \u8f85\u52a9\u54c8\u5e0c\u8868\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(n)\nvar dic = std.AutoHashMap(i32, i32).init(std.heap.page_allocator);\ndefer dic.deinit();\nvar i: usize = 0;\n// \u5355\u5c42\u5faa\u73af\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nwhile (i &lt; size) : (i += 1) {\nif (dic.contains(target - nums[i])) {\nreturn [_]i32{dic.get(target - nums[i]).?, @intCast(i32, i)};\n}\ntry dic.put(nums[i], @intCast(i32, i));\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/summary/","title":"2.5. \u5c0f\u7ed3","text":""},{"location":"chapter_computational_complexity/summary/#_1","title":"\u7b97\u6cd5\u6548\u7387\u8bc4\u4f30","text":"<ul> <li>\u300c\u65f6\u95f4\u6548\u7387\u300d\u548c\u300c\u7a7a\u95f4\u6548\u7387\u300d\u662f\u7b97\u6cd5\u6027\u80fd\u7684\u4e24\u4e2a\u91cd\u8981\u7684\u8bc4\u4ef7\u7ef4\u5ea6\u3002</li> <li>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u300c\u5b9e\u9645\u6d4b\u8bd5\u300d\u6765\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\uff0c\u4f46\u96be\u4ee5\u6392\u9664\u6d4b\u8bd5\u73af\u5883\u7684\u5e72\u6270\uff0c\u5e76\u4e14\u975e\u5e38\u8017\u8d39\u8ba1\u7b97\u8d44\u6e90\u3002</li> <li>\u300c\u590d\u6742\u5ea6\u5206\u6790\u300d\u514b\u670d\u4e86\u5b9e\u9645\u6d4b\u8bd5\u7684\u5f0a\u7aef\uff0c\u5206\u6790\u7ed3\u679c\u9002\u7528\u4e8e\u6240\u6709\u8fd0\u884c\u5e73\u53f0\uff0c\u5e76\u4e14\u53ef\u4ee5\u4f53\u73b0\u4e0d\u540c\u6570\u636e\u5927\u5c0f\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\u3002</li> </ul>"},{"location":"chapter_computational_complexity/summary/#_2","title":"\u65f6\u95f4\u590d\u6742\u5ea6","text":"<ul> <li>\u300c\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\uff0c\u53ef\u4ee5\u6709\u6548\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53ef\u80fd\u5931\u6548\uff0c\u6bd4\u5982\u5728\u8f93\u5165\u6570\u636e\u91cf\u8f83\u5c0f\u6216\u65f6\u95f4\u590d\u6742\u5ea6\u76f8\u540c\u65f6\uff0c\u65e0\u6cd5\u7cbe\u786e\u5bf9\u6bd4\u7b97\u6cd5\u6548\u7387\u7684\u4f18\u52a3\u6027\u3002</li> <li>\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u4f7f\u7528\u5927 \\(O\\) \u7b26\u53f7\u8868\u793a\uff0c\u5373\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\uff0c\u5176\u53cd\u6620\u5f53 \\(n\\) \u8d8b\u4e8e\u6b63\u65e0\u7a77\u65f6\uff0c\\(T(n)\\) \u5904\u4e8e\u4f55\u79cd\u589e\u957f\u7ea7\u522b\u3002</li> <li>\u63a8\u7b97\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u4e3a\u4e24\u6b65\uff0c\u9996\u5148\u7edf\u8ba1\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\uff0c\u518d\u5224\u65ad\u6e10\u8fd1\u4e0a\u754c\u3002</li> <li>\u5e38\u89c1\u65f6\u95f4\u590d\u6742\u5ea6\u4ece\u5c0f\u5230\u5927\u6392\u5217\u6709 \\(O(1)\\) , \\(O(\\log n)\\) , \\(O(n)\\) , \\(O(n \\log n)\\) , \\(O(n^2)\\) , \\(O(2^n)\\) , \\(O(n!)\\) \u3002</li> <li>\u67d0\u4e9b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u662f\u6052\u5b9a\u7684\uff0c\u800c\u662f\u4e0e\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\u6709\u5173\u3002\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u4e3a\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u548c\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u540e\u8005\u51e0\u4e4e\u4e0d\u7528\uff0c\u56e0\u4e3a\u8f93\u5165\u6570\u636e\u9700\u8981\u6ee1\u8db3\u82db\u523b\u7684\u6761\u4ef6\u624d\u80fd\u8fbe\u5230\u6700\u4f73\u60c5\u51b5\u3002</li> <li>\u300c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u53ef\u4ee5\u53cd\u6620\u5728\u968f\u673a\u6570\u636e\u8f93\u5165\u4e0b\u7684\u7b97\u6cd5\u6548\u7387\uff0c\u6700\u8d34\u5408\u5b9e\u9645\u4f7f\u7528\u60c5\u51b5\u4e0b\u7684\u7b97\u6cd5\u6027\u80fd\u3002\u8ba1\u7b97\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u9700\u8981\u7edf\u8ba1\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\uff0c\u4ee5\u53ca\u7efc\u5408\u540e\u7684\u6570\u5b66\u671f\u671b\u3002</li> </ul>"},{"location":"chapter_computational_complexity/summary/#_3","title":"\u7a7a\u95f4\u590d\u6742\u5ea6","text":"<ul> <li> <p>\u4e0e\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u5b9a\u4e49\u7c7b\u4f3c\uff0c\u300c\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\u7edf\u8ba1\u7b97\u6cd5\u5360\u7528\u7a7a\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf\u3002</p> </li> <li> <p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\u76f8\u5173\u5185\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u8f93\u5165\u7a7a\u95f4\u3001\u6682\u5b58\u7a7a\u95f4\u3001\u8f93\u51fa\u7a7a\u95f4\u3002\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c\u8f93\u5165\u7a7a\u95f4\u4e0d\u8ba1\u5165\u7a7a\u95f4\u590d\u6742\u5ea6\u8ba1\u7b97\u3002\u6682\u5b58\u7a7a\u95f4\u53ef\u5206\u4e3a\u6307\u4ee4\u7a7a\u95f4\u3001\u6570\u636e\u7a7a\u95f4\u3001\u6808\u5e27\u7a7a\u95f4\uff0c\u5176\u4e2d\u6808\u5e27\u7a7a\u95f4\u4e00\u822c\u5728\u9012\u5f52\u51fd\u6570\u4e2d\u624d\u4f1a\u5f71\u54cd\u5230\u7a7a\u95f4\u590d\u6742\u5ea6\u3002</p> </li> <li>\u6211\u4eec\u4e00\u822c\u53ea\u5173\u5fc3\u300c\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u5373\u7edf\u8ba1\u7b97\u6cd5\u5728\u300c\u6700\u5dee\u8f93\u5165\u6570\u636e\u300d\u548c\u300c\u6700\u5dee\u8fd0\u884c\u65f6\u95f4\u70b9\u300d\u4e0b\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u3002</li> <li>\u5e38\u89c1\u7a7a\u95f4\u590d\u6742\u5ea6\u4ece\u5c0f\u5230\u5927\u6392\u5217\u6709 \\(O(1)\\) , \\(O(\\log n)\\) , \\(O(n)\\) , \\(O(n^2)\\) , \\(O(2^n)\\) \u3002</li> </ul>"},{"location":"chapter_computational_complexity/time_complexity/","title":"2.2. \u65f6\u95f4\u590d\u6742\u5ea6","text":""},{"location":"chapter_computational_complexity/time_complexity/#221","title":"2.2.1. \u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4","text":"<p>\u8fd0\u884c\u65f6\u95f4\u80fd\u591f\u76f4\u89c2\u4e14\u51c6\u786e\u5730\u4f53\u73b0\u51fa\u7b97\u6cd5\u7684\u6548\u7387\u6c34\u5e73\u3002\u5982\u679c\u6211\u4eec\u60f3\u8981 \u51c6\u786e\u9884\u4f30\u4e00\u6bb5\u4ee3\u7801\u7684\u8fd0\u884c\u65f6\u95f4 \uff0c\u8be5\u5982\u4f55\u505a\u5462\uff1f</p> <ol> <li>\u9996\u5148\u9700\u8981 \u786e\u5b9a\u8fd0\u884c\u5e73\u53f0 \uff0c\u5305\u62ec\u786c\u4ef6\u914d\u7f6e\u3001\u7f16\u7a0b\u8bed\u8a00\u3001\u7cfb\u7edf\u73af\u5883\u7b49\uff0c\u8fd9\u4e9b\u90fd\u4f1a\u5f71\u54cd\u5230\u4ee3\u7801\u7684\u8fd0\u884c\u6548\u7387\u3002</li> <li>\u8bc4\u4f30 \u5404\u79cd\u8ba1\u7b97\u64cd\u4f5c\u7684\u6240\u9700\u8fd0\u884c\u65f6\u95f4 \uff0c\u4f8b\u5982\u52a0\u6cd5\u64cd\u4f5c <code>+</code> \u9700\u8981 1 ns \uff0c\u4e58\u6cd5\u64cd\u4f5c <code>*</code> \u9700\u8981 10 ns \uff0c\u6253\u5370\u64cd\u4f5c\u9700\u8981 5 ns \u7b49\u3002</li> <li>\u6839\u636e\u4ee3\u7801 \u7edf\u8ba1\u6240\u6709\u8ba1\u7b97\u64cd\u4f5c\u7684\u6570\u91cf \uff0c\u5e76\u5c06\u6240\u6709\u64cd\u4f5c\u7684\u6267\u884c\u65f6\u95f4\u6c42\u548c\uff0c\u5373\u53ef\u5f97\u5230\u8fd0\u884c\u65f6\u95f4\u3002</li> </ol> <p>\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u6839\u636e\u4ee5\u4e0a\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5f97\u5230\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u4e3a \\(6n + 12\\) ns \u3002</p> \\[ 1 + 1 + 10 + (1 + 5) \\times n = 6n + 12 \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nSystem.out.println(0);     // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\ncout &lt;&lt; 0 &lt;&lt; endl;         // 5 ns\n}\n}\n</code></pre> <pre><code># \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\ndef algorithm(n):\na = 2      # 1 ns\na = a + 1  # 1 ns\na = a * 2  # 10 ns\n# \u5faa\u73af n \u6b21\nfor _ in range(n):  # 1 ns\nprint(0)        # 5 ns\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunc algorithm(n int) {\na := 2      // 1 ns\na = a + 1   // 1 ns\na = a * 2   // 10 ns\n// \u5faa\u73af n \u6b21\nfor i := 0; i &lt; n; i++ {    // 1 ns\nfmt.Println(a)          // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunction algorithm(n) {\nvar a = 2; // 1 ns\na = a + 1; // 1 ns\na = a * 2; // 10 ns\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++) { // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nconsole.log(0); // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunction algorithm(n: number): void {\nvar a: number = 2; // 1 ns\na = a + 1; // 1 ns\na = a * 2; // 10 ns\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++) { // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nconsole.log(0); // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n) {\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {   // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nprintf(\"%d\", 0);            // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nvoid algorithm(int n)\n{\nint a = 2;  // 1 ns\na = a + 1;  // 1 ns\na = a * 2;  // 10 ns\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++)\n{  // 1 ns \uff0c\u6bcf\u8f6e\u90fd\u8981\u6267\u884c i++\nConsole.WriteLine(0);     // 5 ns\n}\n}\n</code></pre> <pre><code>// \u5728\u67d0\u8fd0\u884c\u5e73\u53f0\u4e0b\nfunc algorithm(_ n: Int) {\nvar a = 2 // 1 ns\na = a + 1 // 1 ns\na = a * 2 // 10 ns\n// \u5faa\u73af n \u6b21\nfor _ in 0 ..&lt; n { // 1 ns\nprint(0) // 5 ns\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u4f46\u5b9e\u9645\u4e0a\uff0c \u7edf\u8ba1\u7b97\u6cd5\u7684\u8fd0\u884c\u65f6\u95f4\u65e2\u4e0d\u5408\u7406\u4e5f\u4e0d\u73b0\u5b9e\u3002\u9996\u5148\uff0c\u6211\u4eec\u4e0d\u5e0c\u671b\u9884\u4f30\u65f6\u95f4\u548c\u8fd0\u884c\u5e73\u53f0\u7ed1\u5b9a\uff0c\u6bd5\u7adf\u7b97\u6cd5\u9700\u8981\u8dd1\u5728\u5404\u5f0f\u5404\u6837\u7684\u5e73\u53f0\u4e4b\u4e0a\u3002\u5176\u6b21\uff0c\u6211\u4eec\u5f88\u96be\u83b7\u77e5\u6bcf\u4e00\u79cd\u64cd\u4f5c\u7684\u8fd0\u884c\u65f6\u95f4\uff0c\u8fd9\u4e3a\u9884\u4f30\u8fc7\u7a0b\u5e26\u6765\u4e86\u6781\u5927\u7684\u96be\u5ea6\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#222","title":"2.2.2. \u7edf\u8ba1\u65f6\u95f4\u589e\u957f\u8d8b\u52bf","text":"<p>\u300c\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u300d\u91c7\u53d6\u4e86\u4e0d\u540c\u7684\u505a\u6cd5\uff0c\u5176\u7edf\u8ba1\u7684\u4e0d\u662f\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\uff0c\u800c\u662f \u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740\u6570\u636e\u91cf\u53d8\u5927\u65f6\u7684\u589e\u957f\u8d8b\u52bf \u3002</p> <p>\u201c\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u201d\u8fd9\u4e2a\u6982\u5ff5\u6bd4\u8f83\u62bd\u8c61\uff0c\u6211\u4eec\u501f\u52a9\u4e00\u4e2a\u4f8b\u5b50\u6765\u7406\u89e3\u3002\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u7ed9\u5b9a\u4e09\u4e2a\u7b97\u6cd5 <code>A</code> , <code>B</code> , <code>C</code> \u3002</p> <ul> <li>\u7b97\u6cd5 <code>A</code> \u53ea\u6709 \\(1\\) \u4e2a\u6253\u5370\u64cd\u4f5c\uff0c\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u4e0d\u968f\u7740 \\(n\\) \u589e\u5927\u800c\u589e\u957f\u3002\u6211\u4eec\u79f0\u6b64\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u300c\u5e38\u6570\u9636\u300d\u3002</li> <li>\u7b97\u6cd5 <code>B</code> \u4e2d\u7684\u6253\u5370\u64cd\u4f5c\u9700\u8981\u5faa\u73af \\(n\\) \u6b21\uff0c\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u968f\u7740 \\(n\\) \u589e\u5927\u6210\u7ebf\u6027\u589e\u957f\u3002\u6b64\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u88ab\u79f0\u4e3a\u300c\u7ebf\u6027\u9636\u300d\u3002</li> <li>\u7b97\u6cd5 <code>C</code> \u4e2d\u7684\u6253\u5370\u64cd\u4f5c\u9700\u8981\u5faa\u73af \\(1000000\\) \u6b21\uff0c\u4f46\u8fd0\u884c\u65f6\u95f4\u4ecd\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\u3002\u56e0\u6b64 <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u548c <code>A</code> \u76f8\u540c\uff0c\u4ecd\u4e3a\u300c\u5e38\u6570\u9636\u300d\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\nSystem.out.println(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\nSystem.out.println(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\nSystem.out.println(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n</code></pre> <pre><code># \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\ndef algorithm_A(n):\nprint(0)\n# \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\ndef algorithm_B(n):\nfor _ in range(n):\nprint(0)\n# \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\ndef algorithm_C(n):\nfor _ in range(1000000):\nprint(0)\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithm_A(n int) {\nfmt.Println(0)\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunc algorithm_B(n int) {\nfor i := 0; i &lt; n; i++ {\nfmt.Println(0)\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithm_C(n int) {\nfor i := 0; i &lt; 1000000; i++ {\nfmt.Println(0)\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_A(n) {\nconsole.log(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunction algorithm_B(n) {\nfor (let i = 0; i &lt; n; i++) {\nconsole.log(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_C(n) {\nfor (let i = 0; i &lt; 1000000; i++) {\nconsole.log(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_A(n: number): void {\nconsole.log(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunction algorithm_B(n: number): void {\nfor (let i = 0; i &lt; n; i++) {\nconsole.log(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunction algorithm_C(n: number): void {\nfor (let i = 0; i &lt; 1000000; i++) {\nconsole.log(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n) {\nprintf(\"%d\", 0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n) {\nfor (int i = 0; i &lt; n; i++) {\nprintf(\"%d\", 0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n) {\nfor (int i = 0; i &lt; 1000000; i++) {\nprintf(\"%d\", 0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_A(int n)\n{\nConsole.WriteLine(0);\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nvoid algorithm_B(int n)\n{\nfor (int i = 0; i &lt; n; i++)\n{\nConsole.WriteLine(0);\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nvoid algorithm_C(int n)\n{\nfor (int i = 0; i &lt; 1000000; i++)\n{\nConsole.WriteLine(0);\n}\n}\n</code></pre> <pre><code>// \u7b97\u6cd5 A \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithmA(_ n: Int) {\nprint(0)\n}\n// \u7b97\u6cd5 B \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u7ebf\u6027\u9636\nfunc algorithmB(_ n: Int) {\nfor _ in 0 ..&lt; n {\nprint(0)\n}\n}\n// \u7b97\u6cd5 C \u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u5e38\u6570\u9636\nfunc algorithmC(_ n: Int) {\nfor _ in 0 ..&lt; 1000000 {\nprint(0)\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p></p> <p> Fig. \u7b97\u6cd5 A, B, C \u7684\u65f6\u95f4\u589e\u957f\u8d8b\u52bf </p> <p>\u76f8\u6bd4\u76f4\u63a5\u7edf\u8ba1\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u7684\u505a\u6cd5\u6709\u4ec0\u4e48\u597d\u5904\u5462\uff1f\u4ee5\u53ca\u6709\u4ec0\u4e48\u4e0d\u8db3\uff1f</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u53ef\u4ee5\u6709\u6548\u8bc4\u4f30\u7b97\u6cd5\u6548\u7387\u3002\u7b97\u6cd5 <code>B</code> \u8fd0\u884c\u65f6\u95f4\u7684\u589e\u957f\u662f\u7ebf\u6027\u7684\uff0c\u5728 \\(n &gt; 1\\) \u65f6\u6162\u4e8e\u7b97\u6cd5 <code>A</code> \uff0c\u5728 \\(n &gt; 1000000\\) \u65f6\u6162\u4e8e\u7b97\u6cd5 <code>C</code> \u3002\u5b9e\u8d28\u4e0a\uff0c\u53ea\u8981\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u8db3\u591f\u5927\uff0c\u590d\u6742\u5ea6\u4e3a\u300c\u5e38\u6570\u9636\u300d\u7684\u7b97\u6cd5\u4e00\u5b9a\u4f18\u4e8e\u300c\u7ebf\u6027\u9636\u300d\u7684\u7b97\u6cd5\uff0c\u8fd9\u4e5f\u6b63\u662f\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u7684\u542b\u4e49\u3002</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u63a8\u7b97\u65b9\u6cd5\u66f4\u52a0\u7b80\u4fbf\u3002\u5728\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u7edf\u8ba1\u300c\u8ba1\u7b97\u64cd\u4f5c\u7684\u8fd0\u884c\u65f6\u95f4\u300d\u7b80\u5316\u4e3a\u7edf\u8ba1\u300c\u8ba1\u7b97\u64cd\u4f5c\u7684\u6570\u91cf\u300d\uff0c\u8fd9\u662f\u56e0\u4e3a\uff0c\u65e0\u8bba\u662f\u8fd0\u884c\u5e73\u53f0\u8fd8\u662f\u8ba1\u7b97\u64cd\u4f5c\u7c7b\u578b\uff0c\u90fd\u4e0e\u7b97\u6cd5\u8fd0\u884c\u65f6\u95f4\u7684\u589e\u957f\u8d8b\u52bf\u65e0\u5173\u3002\u56e0\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u5c06\u6240\u6709\u8ba1\u7b97\u64cd\u4f5c\u7684\u6267\u884c\u65f6\u95f4\u7edf\u4e00\u770b\u4f5c\u662f\u76f8\u540c\u7684\u201c\u5355\u4f4d\u65f6\u95f4\u201d\uff0c\u8fd9\u6837\u7684\u7b80\u5316\u505a\u6cd5\u5927\u5927\u964d\u4f4e\u4e86\u4f30\u7b97\u96be\u5ea6\u3002</p> <p>\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002\u6bd4\u5982\uff0c\u867d\u7136\u7b97\u6cd5 <code>A</code> \u548c <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u76f8\u540c\uff0c\u4f46\u662f\u5b9e\u9645\u7684\u8fd0\u884c\u65f6\u95f4\u6709\u975e\u5e38\u5927\u7684\u5dee\u522b\u3002\u518d\u6bd4\u5982\uff0c\u867d\u7136\u7b97\u6cd5 <code>B</code> \u6bd4 <code>C</code> \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8981\u66f4\u9ad8\uff0c\u4f46\u5728\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u6bd4\u8f83\u5c0f\u65f6\uff0c\u7b97\u6cd5 <code>B</code> \u662f\u8981\u660e\u663e\u4f18\u4e8e\u7b97\u6cd5 <code>C</code> \u7684\u3002\u5bf9\u4e8e\u4ee5\u4e0a\u60c5\u51b5\uff0c\u6211\u4eec\u5f88\u96be\u4ec5\u51ed\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u5224\u5b9a\u7b97\u6cd5\u6548\u7387\u9ad8\u4f4e\u3002\u7136\u800c\uff0c\u5373\u4f7f\u5b58\u5728\u8fd9\u4e9b\u95ee\u9898\uff0c\u8ba1\u7b97\u590d\u6742\u5ea6\u4ecd\u7136\u662f\u8bc4\u5224\u7b97\u6cd5\u6548\u7387\u7684\u6700\u6709\u6548\u4e14\u5e38\u7528\u7684\u65b9\u6cd5\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#223","title":"2.2.3. \u51fd\u6570\u6e10\u8fd1\u4e0a\u754c","text":"<p>\u8bbe\u7b97\u6cd5\u300c\u8ba1\u7b97\u64cd\u4f5c\u6570\u91cf\u300d\u4e3a \\(T(n)\\) \uff0c\u5176\u662f\u4e00\u4e2a\u5173\u4e8e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u7684\u51fd\u6570\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u7b97\u6cd5\u7684\u64cd\u4f5c\u6570\u91cf\u4e3a</p> \\[ T(n) = 3 + 2n \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nSystem.out.println(0);    // +1\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\ncout &lt;&lt; 0 &lt;&lt; endl;    // +1\n}\n}\n</code></pre> <pre><code>def algorithm(n):\na = 1  # +1\na = a + 1  # +1\na = a * 2  # +1\n# \u5faa\u73af n \u6b21\nfor i in range(n):  # +1\nprint(0)        # +1\n</code></pre> <pre><code>func algorithm(n int) {\na := 1      // +1\na = a + 1   // +1\na = a * 2   // +1\n// \u5faa\u73af n \u6b21\nfor i := 0; i &lt; n; i++ {   // +1\nfmt.Println(a)         // +1\n}\n}\n</code></pre> <pre><code>function algorithm(n){\nvar a = 1; // +1\na += 1; // +1\na *= 2; // +1\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++){ // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nconsole.log(0); // +1\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void{\nvar a: number = 1; // +1\na += 1; // +1\na *= 2; // +1\n// \u5faa\u73af n \u6b21\nfor(let i = 0; i &lt; n; i++){ // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nconsole.log(0); // +1\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) {   // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nprintf(\"%d\", 0);            // +1\n}\n}  </code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +1\na = a + 1;  // +1\na = a * 2;  // +1\n// \u5faa\u73af n \u6b21\nfor (int i = 0; i &lt; n; i++) { // +1\uff08\u6bcf\u8f6e\u90fd\u6267\u884c i ++\uff09\nConsole.WriteLine(0);     // +1\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nvar a = 1 // +1\na = a + 1 // +1\na = a * 2 // +1\n// \u5faa\u73af n \u6b21\nfor _ in 0 ..&lt; n { // +1\nprint(0) // +1\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\\(T(n)\\) \u662f\u4e2a\u4e00\u6b21\u51fd\u6570\uff0c\u8bf4\u660e\u65f6\u95f4\u589e\u957f\u8d8b\u52bf\u662f\u7ebf\u6027\u7684\uff0c\u56e0\u6b64\u6613\u5f97\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u7ebf\u6027\u9636\u3002</p> <p>\u6211\u4eec\u5c06\u7ebf\u6027\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8bb0\u4e3a \\(O(n)\\) \uff0c\u8fd9\u4e2a\u6570\u5b66\u7b26\u53f7\u88ab\u79f0\u4e3a\u300c\u5927 \\(O\\) \u8bb0\u53f7 Big-\\(O\\) Notation\u300d\uff0c\u4ee3\u8868\u51fd\u6570 \\(T(n)\\) \u7684\u300c\u6e10\u8fd1\u4e0a\u754c asymptotic upper bound\u300d\u3002</p> <p>\u6211\u4eec\u8981\u63a8\u7b97\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u672c\u8d28\u4e0a\u662f\u5728\u8ba1\u7b97\u300c\u64cd\u4f5c\u6570\u91cf\u51fd\u6570 \\(T(n)\\) \u300d\u7684\u6e10\u8fd1\u4e0a\u754c\u3002\u4e0b\u9762\u6211\u4eec\u5148\u6765\u770b\u770b\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\u7684\u6570\u5b66\u5b9a\u4e49\u3002</p> <p>\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c</p> <p>\u82e5\u5b58\u5728\u6b63\u5b9e\u6570 \\(c\\) \u548c\u5b9e\u6570 \\(n_0\\) \uff0c\u4f7f\u5f97\u5bf9\u4e8e\u6240\u6709\u7684 \\(n &gt; n_0\\) \uff0c\u5747\u6709 $$ T(n) \\leq c \\cdot f(n) $$ \u5219\u53ef\u8ba4\u4e3a \\(f(n)\\) \u7ed9\u51fa\u4e86 \\(T(n)\\) \u7684\u4e00\u4e2a\u6e10\u8fd1\u4e0a\u754c\uff0c\u8bb0\u4e3a $$ T(n) = O(f(n)) $$</p> <p></p> <p> Fig. \u51fd\u6570\u7684\u6e10\u8fd1\u4e0a\u754c </p> <p>\u672c\u8d28\u4e0a\u770b\uff0c\u8ba1\u7b97\u6e10\u8fd1\u4e0a\u754c\u5c31\u662f\u5728\u627e\u4e00\u4e2a\u51fd\u6570 \\(f(n)\\) \uff0c\u4f7f\u5f97\u5728 \\(n\\) \u8d8b\u5411\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\\(T(n)\\) \u548c \\(f(n)\\) \u5904\u4e8e\u76f8\u540c\u7684\u589e\u957f\u7ea7\u522b\uff08\u4ec5\u76f8\u5dee\u4e00\u4e2a\u5e38\u6570\u9879 \\(c\\) \u7684\u500d\u6570\uff09\u3002</p> <p>Tip</p> <p>\u6e10\u8fd1\u4e0a\u754c\u7684\u6570\u5b66\u5473\u513f\u6709\u70b9\u91cd\uff0c\u5982\u679c\u4f60\u611f\u89c9\u6ca1\u6709\u5b8c\u5168\u7406\u89e3\uff0c\u65e0\u9700\u62c5\u5fc3\uff0c\u56e0\u4e3a\u5728\u5b9e\u9645\u4f7f\u7528\u4e2d\u6211\u4eec\u53ea\u9700\u8981\u4f1a\u63a8\u7b97\u5373\u53ef\uff0c\u6570\u5b66\u610f\u4e49\u53ef\u4ee5\u6162\u6162\u9886\u609f\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#224","title":"2.2.4. \u63a8\u7b97\u65b9\u6cd5","text":"<p>\u63a8\u7b97\u51fa \\(f(n)\\) \u540e\uff0c\u6211\u4eec\u5c31\u5f97\u5230\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(f(n))\\) \u3002\u90a3\u4e48\uff0c\u5982\u4f55\u6765\u786e\u5b9a\u6e10\u8fd1\u4e0a\u754c \\(f(n)\\) \u5462\uff1f\u603b\u4f53\u5206\u4e3a\u4e24\u6b65\uff0c\u9996\u5148\u300c\u7edf\u8ba1\u64cd\u4f5c\u6570\u91cf\u300d\uff0c\u7136\u540e\u300c\u5224\u65ad\u6e10\u8fd1\u4e0a\u754c\u300d\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#1","title":"1) \u7edf\u8ba1\u64cd\u4f5c\u6570\u91cf","text":"<p>\u5bf9\u7740\u4ee3\u7801\uff0c\u4ece\u4e0a\u5230\u4e0b\u4e00\u884c\u4e00\u884c\u5730\u8ba1\u6570\u5373\u53ef\u3002\u7136\u800c\uff0c\u7531\u4e8e\u4e0a\u8ff0 \\(c \\cdot f(n)\\) \u4e2d\u7684\u5e38\u6570\u9879 \\(c\\) \u53ef\u4ee5\u53d6\u4efb\u610f\u5927\u5c0f\uff0c\u56e0\u6b64\u64cd\u4f5c\u6570\u91cf \\(T(n)\\) \u4e2d\u7684\u5404\u79cd\u7cfb\u6570\u3001\u5e38\u6570\u9879\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\u3002\u6839\u636e\u6b64\u539f\u5219\uff0c\u53ef\u4ee5\u603b\u7ed3\u51fa\u4ee5\u4e0b\u8ba1\u6570\u5077\u61d2\u6280\u5de7\uff1a</p> <ol> <li>\u8df3\u8fc7\u6570\u91cf\u4e0e \\(n\\) \u65e0\u5173\u7684\u64cd\u4f5c\u3002\u56e0\u4e3a\u4ed6\u4eec\u90fd\u662f \\(T(n)\\) \u4e2d\u7684\u5e38\u6570\u9879\uff0c\u5bf9\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u4ea7\u751f\u5f71\u54cd\u3002</li> <li>\u7701\u7565\u6240\u6709\u7cfb\u6570\u3002\u4f8b\u5982\uff0c\u5faa\u73af \\(2n\\) \u6b21\u3001\\(5n + 1\\) \u6b21\u3001\u2026\u2026\uff0c\u90fd\u53ef\u4ee5\u5316\u7b80\u8bb0\u4e3a \\(n\\) \u6b21\uff0c\u56e0\u4e3a \\(n\\) \u524d\u9762\u7684\u7cfb\u6570\u5bf9\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u4e0d\u4ea7\u751f\u5f71\u54cd\u3002</li> <li>\u5faa\u73af\u5d4c\u5957\u65f6\u4f7f\u7528\u4e58\u6cd5\u3002\u603b\u64cd\u4f5c\u6570\u91cf\u7b49\u4e8e\u5916\u5c42\u5faa\u73af\u548c\u5185\u5c42\u5faa\u73af\u64cd\u4f5c\u6570\u91cf\u4e4b\u79ef\uff0c\u6bcf\u4e00\u5c42\u5faa\u73af\u4f9d\u7136\u53ef\u4ee5\u5206\u522b\u5957\u7528\u4e0a\u8ff0 <code>1.</code> \u548c <code>2.</code> \u6280\u5de7\u3002</li> </ol> <p>\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u4f7f\u7528\u4e0a\u8ff0\u6280\u5de7\u524d\u3001\u540e\u7684\u7edf\u8ba1\u7ed3\u679c\u3002</p> \\[ \\begin{aligned} T(n) &amp; = 2n(n + 1) + (5n + 1) + 2 &amp; \\text{\u5b8c\u6574\u7edf\u8ba1 (-.-|||)} \\newline &amp; = 2n^2 + 7n + 3 \\newline T(n) &amp; = n^2 + n &amp; \\text{\u5077\u61d2\u7edf\u8ba1 (o.O)} \\end{aligned} \\] <p>\u6700\u7ec8\uff0c\u4e24\u8005\u90fd\u80fd\u63a8\u51fa\u76f8\u540c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7ed3\u679c\uff0c\u5373 \\(O(n^2)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\nSystem.out.println(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\nSystem.out.println(0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\ncout &lt;&lt; 0 &lt;&lt; endl;\n}\n}\n}\n</code></pre> <pre><code>def algorithm(n):\na = 1      # +0\uff08\u6280\u5de7 1\uff09\na = a + n  # +0\uff08\u6280\u5de7 1\uff09\n# +n\uff08\u6280\u5de7 2\uff09\nfor i in range(5 * n + 1):\nprint(0)\n# +n*n\uff08\u6280\u5de7 3\uff09\nfor i in range(2 * n):\nfor j in range(n + 1):\nprint(0)\n</code></pre> <pre><code>func algorithm(n int) {\na := 1      // +0\uff08\u6280\u5de7 1\uff09\na = a + n  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor i := 0; i &lt; 5 * n + 1; i++ {\nfmt.Println(0)\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor i := 0; i &lt; 2 * n; i++ {\nfor j := 0; j &lt; n + 1; j++ {\nfmt.Println(0)\n}\n}\n}\n</code></pre> <pre><code>function algorithm(n) {\nlet a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (let i = 0; i &lt; 5 * n + 1; i++) {\nconsole.log(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (let i = 0; i &lt; 2 * n; i++) {\nfor (let j = 0; j &lt; n + 1; j++) {\nconsole.log(0);\n}\n}\n}\n</code></pre> <pre><code>function algorithm(n: number): void {\nlet a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (let i = 0; i &lt; 5 * n + 1; i++) {\nconsole.log(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (let i = 0; i &lt; 2 * n; i++) {\nfor (let j = 0; j &lt; n + 1; j++) {\nconsole.log(0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n) {\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++) {\nprintf(\"%d\", 0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++) {\nfor (int j = 0; j &lt; n + 1; j++) {\nprintf(\"%d\", 0);\n}\n}\n}\n</code></pre> <pre><code>void algorithm(int n)\n{\nint a = 1;  // +0\uff08\u6280\u5de7 1\uff09\na = a + n;  // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor (int i = 0; i &lt; 5 * n + 1; i++)\n{\nConsole.WriteLine(0);\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor (int i = 0; i &lt; 2 * n; i++)\n{\nfor (int j = 0; j &lt; n + 1; j++)\n{\nConsole.WriteLine(0);\n}\n}\n}\n</code></pre> <pre><code>func algorithm(n: Int) {\nvar a = 1 // +0\uff08\u6280\u5de7 1\uff09\na = a + n // +0\uff08\u6280\u5de7 1\uff09\n// +n\uff08\u6280\u5de7 2\uff09\nfor _ in 0 ..&lt; (5 * n + 1) {\nprint(0)\n}\n// +n*n\uff08\u6280\u5de7 3\uff09\nfor _ in 0 ..&lt; (2 * n) {\nfor _ in 0 ..&lt; (n + 1) {\nprint(0)\n}\n}\n}\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#2","title":"2) \u5224\u65ad\u6e10\u8fd1\u4e0a\u754c","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\u7531\u591a\u9879\u5f0f \\(T(n)\\) \u4e2d\u6700\u9ad8\u9636\u7684\u9879\u6765\u51b3\u5b9a\u3002\u8fd9\u662f\u56e0\u4e3a\u5728 \\(n\\) \u8d8b\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\u6700\u9ad8\u9636\u7684\u9879\u5c06\u5904\u4e8e\u4e3b\u5bfc\u4f5c\u7528\uff0c\u5176\u5b83\u9879\u7684\u5f71\u54cd\u90fd\u53ef\u4ee5\u88ab\u5ffd\u7565\u3002</p> <p>\u4ee5\u4e0b\u8868\u683c\u7ed9\u51fa\u4e86\u4e00\u4e9b\u4f8b\u5b50\uff0c\u5176\u4e2d\u6709\u4e00\u4e9b\u5938\u5f20\u7684\u503c\uff0c\u662f\u60f3\u8981\u5411\u5927\u5bb6\u5f3a\u8c03 \u7cfb\u6570\u65e0\u6cd5\u64bc\u52a8\u9636\u6570 \u8fd9\u4e00\u7ed3\u8bba\u3002\u5728 \\(n\\) \u8d8b\u4e8e\u65e0\u7a77\u5927\u65f6\uff0c\u8fd9\u4e9b\u5e38\u6570\u90fd\u662f\u201c\u6d6e\u4e91\u201d\u3002</p> \u64cd\u4f5c\u6570\u91cf \\(T(n)\\) \u65f6\u95f4\u590d\u6742\u5ea6 \\(O(f(n))\\) \\(100000\\) \\(O(1)\\) \\(3n + 2\\) \\(O(n)\\) \\(2n^2 + 3n + 2\\) \\(O(n^2)\\) \\(n^3 + 10000n^2\\) \\(O(n^3)\\) \\(2^n + 10000n^{10000}\\) \\(O(2^n)\\)"},{"location":"chapter_computational_complexity/time_complexity/#225","title":"2.2.5. \u5e38\u89c1\u7c7b\u578b","text":"<p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u5e38\u89c1\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7c7b\u578b\u6709\uff08\u4ece\u4f4e\u5230\u9ad8\u6392\u5217\uff09</p> \\[ \\begin{aligned} O(1) &lt; O(\\log n) &lt; O(n) &lt; O(n \\log n) &lt; O(n^2) &lt; O(2^n) &lt; O(n!) \\newline \\text{\u5e38\u6570\u9636} &lt; \\text{\u5bf9\u6570\u9636} &lt; \\text{\u7ebf\u6027\u9636} &lt; \\text{\u7ebf\u6027\u5bf9\u6570\u9636} &lt; \\text{\u5e73\u65b9\u9636} &lt; \\text{\u6307\u6570\u9636} &lt; \\text{\u9636\u4e58\u9636} \\end{aligned} \\] <p></p> <p> Fig. \u65f6\u95f4\u590d\u6742\u5ea6\u7684\u5e38\u89c1\u7c7b\u578b </p> <p>Tip</p> <p>\u90e8\u5206\u793a\u4f8b\u4ee3\u7801\u9700\u8981\u4e00\u4e9b\u524d\u7f6e\u77e5\u8bc6\uff0c\u5305\u62ec\u6570\u7ec4\u3001\u9012\u5f52\u7b97\u6cd5\u7b49\u3002\u5982\u679c\u9047\u5230\u770b\u4e0d\u61c2\u7684\u5730\u65b9\u65e0\u9700\u62c5\u5fc3\uff0c\u53ef\u4ee5\u5728\u5b66\u4e60\u5b8c\u540e\u9762\u7ae0\u8282\u540e\u518d\u6765\u590d\u4e60\uff0c\u73b0\u9636\u6bb5\u5148\u805a\u7126\u5728\u7406\u89e3\u65f6\u95f4\u590d\u6742\u5ea6\u542b\u4e49\u548c\u63a8\u7b97\u65b9\u6cd5\u4e0a\u3002</p>"},{"location":"chapter_computational_complexity/time_complexity/#o1","title":"\u5e38\u6570\u9636 \\(O(1)\\)","text":"<p>\u5e38\u6570\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u4e0e\u8f93\u5165\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\uff0c\u5373\u4e0d\u968f\u7740 \\(n\\) \u7684\u53d8\u5316\u800c\u53d8\u5316\u3002</p> <p>\u5bf9\u4e8e\u4ee5\u4e0b\u7b97\u6cd5\uff0c\u65e0\u8bba\u64cd\u4f5c\u6570\u91cf <code>size</code> \u6709\u591a\u5927\uff0c\u53ea\u8981\u4e0e\u6570\u636e\u5927\u5c0f \\(n\\) \u65e0\u5173\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5c31\u4ecd\u4e3a \\(O(1)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n) {\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n) {\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e38\u6570\u9636 \"\"\"\ndef constant(n):\ncount = 0\nsize = 100000\nfor _ in range(size):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n int) int {\ncount := 0\nsize := 100000\nfor i := 0; i &lt; size; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n) {\nlet count = 0;\nconst size = 100000;\nfor (let i = 0; i &lt; size; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e38\u6570\u9636 */\nfunction constant(n: number): number {\nlet count = 0;\nconst size = 100000;\nfor (let i = 0; i &lt; size; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{constant}\n</code></pre> time_complexity.cs<pre><code>/* \u5e38\u6570\u9636 */\nint constant(int n)\n{\nint count = 0;\nint size = 100000;\nfor (int i = 0; i &lt; size; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e38\u6570\u9636 */\nfunc constant(n: Int) -&gt; Int {\nvar count = 0\nlet size = 100_000\nfor _ in 0 ..&lt; size {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e38\u6570\u9636\nfn constant(n: i32) i32 {\n_ = n;\nvar count: i32 = 0;\nconst size: i32 = 100_000;\nvar i: i32 = 0;\nwhile(i&lt;size) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on","title":"\u7ebf\u6027\u9636 \\(O(n)\\)","text":"<p>\u7ebf\u6027\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u76f8\u5bf9\u8f93\u5165\u6570\u636e\u5927\u5c0f\u6210\u7ebf\u6027\u7ea7\u522b\u589e\u957f\u3002\u7ebf\u6027\u9636\u5e38\u51fa\u73b0\u4e8e\u5355\u5c42\u5faa\u73af\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n) {\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n) {\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636 \"\"\"\ndef linear(n):\ncount = 0\nfor _ in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n int) int {\ncount := 0\nfor i := 0; i &lt; n; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n) {\nlet count = 0;\nfor (let i = 0; i &lt; n; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u9636 */\nfunction linear(n: number): number {\nlet count = 0;\nfor (let i = 0; i &lt; n; i++) count++;\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{linear}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u9636 */\nint linear(int n)\n{\nint count = 0;\nfor (int i = 0; i &lt; n; i++)\ncount++;\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u9636 */\nfunc linear(n: Int) -&gt; Int {\nvar count = 0\nfor _ in 0 ..&lt; n {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u9636\nfn linear(n: i32) i32 {\nvar count: i32 = 0;\nvar i: i32 = 0;\nwhile (i &lt; n) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre> <p>\u300c\u904d\u5386\u6570\u7ec4\u300d\u548c\u300c\u904d\u5386\u94fe\u8868\u300d\u7b49\u64cd\u4f5c\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(n)\\) \uff0c\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u7684\u957f\u5ea6\u3002</p> <p>Tip</p> <p>\u6570\u636e\u5927\u5c0f \\(n\\) \u662f\u6839\u636e\u8f93\u5165\u6570\u636e\u7684\u7c7b\u578b\u6765\u786e\u5b9a\u7684\u3002\u6bd4\u5982\uff0c\u5728\u4e0a\u8ff0\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u76f4\u63a5\u5c06 \\(n\\) \u770b\u4f5c\u8f93\u5165\u6570\u636e\u5927\u5c0f\uff1b\u4ee5\u4e0b\u904d\u5386\u6570\u7ec4\u793a\u4f8b\u4e2d\uff0c\u6570\u636e\u5927\u5c0f \\(n\\) \u4e3a\u6570\u7ec4\u7684\u957f\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(int[] nums) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (int num : nums) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(vector&lt;int&gt;&amp; nums) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (int num : nums) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09\"\"\"\ndef array_traversal(nums):\ncount = 0\n# \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor num in nums:\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunc arrayTraversal(nums []int) int {\ncount := 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor range nums {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunction arrayTraversal(nums) {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunction arrayTraversal(nums: number[]): number {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (let i = 0; i &lt; nums.length; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{arrayTraversal}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nint arrayTraversal(int[] nums)\n{\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nforeach (int num in nums)\n{\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09 */\nfunc arrayTraversal(nums: [Int]) -&gt; Int {\nvar count = 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor _ in nums {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u9636\uff08\u904d\u5386\u6570\u7ec4\uff09\nfn arrayTraversal(nums: []i32) i32 {\nvar count: i32 = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u6b63\u6bd4\nfor (nums) |_| {\ncount += 1;\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on2","title":"\u5e73\u65b9\u9636 \\(O(n^2)\\)","text":"<p>\u5e73\u65b9\u9636\u7684\u64cd\u4f5c\u6570\u91cf\u76f8\u5bf9\u8f93\u5165\u6570\u636e\u5927\u5c0f\u6210\u5e73\u65b9\u7ea7\u522b\u589e\u957f\u3002\u5e73\u65b9\u9636\u5e38\u51fa\u73b0\u4e8e\u5d4c\u5957\u5faa\u73af\uff0c\u5916\u5c42\u5faa\u73af\u548c\u5185\u5c42\u5faa\u73af\u90fd\u4e3a \\(O(n)\\) \uff0c\u603b\u4f53\u4e3a \\(O(n^2)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n) {\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636 \"\"\"\ndef quadratic(n):\ncount = 0\n# \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor i in range(n):\nfor j in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n int) int {\ncount := 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor i := 0; i &lt; n; i++ {\nfor j := 0; j &lt; n; j++ {\ncount++\n}\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n) {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e73\u65b9\u9636 */\nfunction quadratic(n: number): number {\nlet count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; n; j++) {\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{quadratic}\n</code></pre> time_complexity.cs<pre><code>/* \u5e73\u65b9\u9636 */\nint quadratic(int n)\n{\nint count = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor (int i = 0; i &lt; n; i++)\n{\nfor (int j = 0; j &lt; n; j++)\n{\ncount++;\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e73\u65b9\u9636 */\nfunc quadratic(n: Int) -&gt; Int {\nvar count = 0\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nfor _ in 0 ..&lt; n {\nfor _ in 0 ..&lt; n {\ncount += 1\n}\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e73\u65b9\u9636\nfn quadratic(n: i32) i32 {\nvar count: i32 = 0;\nvar i: i32 = 0;\n// \u5faa\u73af\u6b21\u6570\u4e0e\u6570\u7ec4\u957f\u5ea6\u6210\u5e73\u65b9\u5173\u7cfb\nwhile (i &lt; n) : (i += 1) {\nvar j: i32 = 0;\nwhile (j &lt; n) : (j += 1) {\ncount += 1;\n}\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u5e38\u6570\u9636\u3001\u7ebf\u6027\u9636\u3001\u5e73\u65b9\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u4ee5\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u4e3a\u4f8b\uff0c\u5916\u5c42\u5faa\u73af \\(n - 1\\) \u6b21\uff0c\u5185\u5c42\u5faa\u73af \\(n-1, n-2, \\cdots, 2, 1\\) \u6b21\uff0c\u5e73\u5747\u4e3a \\(\\frac{n}{2}\\) \u6b21\uff0c\u56e0\u6b64\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \u3002</p> \\[ O((n - 1) \\frac{n}{2}) = O(n^2) \\] JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(int[] nums) {\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(vector&lt;int&gt;&amp; nums) {\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09\"\"\"\ndef bubble_sort(nums):\ncount = 0  # \u8ba1\u6570\u5668\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(len(nums) - 1, 0, -1):\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\ntmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\ncount += 3  # \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunc bubbleSort(nums []int) int {\ncount := 0 // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\ntmp := nums[j]\nnums[j] = nums[j+1]\nnums[j+1] = tmp\ncount += 3 // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunction bubbleSort(nums) {\nlet count = 0; // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3; // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunction bubbleSort(nums: number[]): number {\nlet count = 0; // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3; // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{bubbleSort}\n</code></pre> time_complexity.cs<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nint bubbleSort(int[] nums)\n{\nint count = 0;  // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09 */\nfunc bubbleSort(nums: inout [Int]) -&gt; Int {\nvar count = 0 // \u8ba1\u6570\u5668\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in sequence(first: nums.count - 1, next: { $0 &gt; 0 + 1 ? $0 - 1 : nil }) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in 0 ..&lt; i {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\ncount += 3 // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5e73\u65b9\u9636\uff08\u5192\u6ce1\u6392\u5e8f\uff09\nfn bubbleSort(nums: []i32) i32 {\nvar count: i32 = 0;  // \u8ba1\u6570\u5668 \n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: i32 = @intCast(i32, nums.len ) - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\ncount += 3;  // \u5143\u7d20\u4ea4\u6362\u5305\u542b 3 \u4e2a\u5355\u5143\u64cd\u4f5c\n}\n}\n}\nreturn count;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#o2n","title":"\u6307\u6570\u9636 \\(O(2^n)\\)","text":"<p>Note</p> <p>\u751f\u7269\u5b66\u79d1\u4e2d\u7684\u201c\u7ec6\u80de\u5206\u88c2\u201d\u5373\u662f\u6307\u6570\u9636\u589e\u957f\uff1a\u521d\u59cb\u72b6\u6001\u4e3a \\(1\\) \u4e2a\u7ec6\u80de\uff0c\u5206\u88c2\u4e00\u8f6e\u540e\u4e3a \\(2\\) \u4e2a\uff0c\u5206\u88c2\u4e24\u8f6e\u540e\u4e3a \\(4\\) \u4e2a\uff0c\u2026\u2026\uff0c\u5206\u88c2 \\(n\\) \u8f6e\u540e\u6709 \\(2^n\\) \u4e2a\u7ec6\u80de\u3002</p> <p>\u6307\u6570\u9636\u589e\u957f\u5f97\u975e\u5e38\u5feb\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4e00\u822c\u662f\u4e0d\u80fd\u88ab\u63a5\u53d7\u7684\u3002\u82e5\u4e00\u4e2a\u95ee\u9898\u4f7f\u7528\u300c\u66b4\u529b\u679a\u4e3e\u300d\u6c42\u89e3\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f \\(O(2^n)\\) \uff0c\u90a3\u4e48\u4e00\u822c\u90fd\u9700\u8981\u4f7f\u7528\u300c\u52a8\u6001\u89c4\u5212\u300d\u6216\u300c\u8d2a\u5fc3\u7b97\u6cd5\u300d\u7b49\u7b97\u6cd5\u6765\u6c42\u89e3\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n) {\nint count = 0, base = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n) {\nint count = 0, base = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++) {\nfor (int j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\"\"\"\ndef exponential(n):\ncount, base = 0, 1\n# cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor _ in range(n):\nfor _ in range(base):\ncount += 1\nbase *= 2\n# count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09*/\nfunc exponential(n int) int {\ncount, base := 0, 1\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor i := 0; i &lt; n; i++ {\nfor j := 0; j &lt; base; j++ {\ncount++\n}\nbase *= 2\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction exponential(n) {\nlet count = 0,\nbase = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction exponential(n: number): number {\nlet count = 0,\nbase = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (let i = 0; i &lt; n; i++) {\nfor (let j = 0; j &lt; base; j++) {\ncount++;\n}\nbase *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{exponential}\n</code></pre> time_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint exponential(int n)\n{\nint count = 0, bas = 1;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor (int i = 0; i &lt; n; i++)\n{\nfor (int j = 0; j &lt; bas; j++)\n{\ncount++;\n}\nbas *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunc exponential(n: Int) -&gt; Int {\nvar count = 0\nvar base = 1\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nfor _ in 0 ..&lt; n {\nfor _ in 0 ..&lt; base {\ncount += 1\n}\nbase *= 2\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\nfn exponential(n: i32) i32 {\nvar count: i32 = 0;\nvar bas: i32 = 1;\nvar i: i32 = 0;\n// cell \u6bcf\u8f6e\u4e00\u5206\u4e3a\u4e8c\uff0c\u5f62\u6210\u6570\u5217 1, 2, 4, 8, ..., 2^(n-1)\nwhile (i &lt; n) : (i += 1) {\nvar j: i32 = 0;\nwhile (j &lt; bas) : (j += 1) {\ncount += 1;\n}\nbas *= 2;\n}\n// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u6307\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u5728\u5b9e\u9645\u7b97\u6cd5\u4e2d\uff0c\u6307\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u9012\u5f52\u51fd\u6570\u3002\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u4e0d\u65ad\u5730\u4e00\u5206\u4e3a\u4e8c\uff0c\u5206\u88c2 \\(n\\) \u6b21\u540e\u505c\u6b62\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef exp_recur(n):\nif n == 1: return 1\nreturn exp_recur(n - 1) + exp_recur(n - 1) + 1\n</code></pre> time_complexity.go<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09*/\nfunc expRecur(n int) int {\nif n == 1 {\nreturn 1\n}\nreturn expRecur(n-1) + expRecur(n-1) + 1\n}\n</code></pre> time_complexity.js<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction expRecur(n) {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction expRecur(n: number): number {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{expRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint expRecur(int n)\n{\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc expRecur(n: Int) -&gt; Int {\nif n == 1 {\nreturn 1\n}\nreturn expRecur(n: n - 1) + expRecur(n: n - 1) + 1\n}\n</code></pre> time_complexity.zig<pre><code>// \u6307\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn expRecur(n: i32) i32 {\nif (n == 1) return 1;\nreturn expRecur(n - 1) + expRecur(n - 1) + 1;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#olog-n","title":"\u5bf9\u6570\u9636 \\(O(\\log n)\\)","text":"<p>\u5bf9\u6570\u9636\u4e0e\u6307\u6570\u9636\u6b63\u597d\u76f8\u53cd\uff0c\u540e\u8005\u53cd\u6620\u201c\u6bcf\u8f6e\u589e\u52a0\u5230\u4e24\u500d\u7684\u60c5\u51b5\u201d\uff0c\u800c\u524d\u8005\u53cd\u6620\u201c\u6bcf\u8f6e\u7f29\u51cf\u5230\u4e00\u534a\u7684\u60c5\u51b5\u201d\u3002\u5bf9\u6570\u9636\u4ec5\u6b21\u4e8e\u5e38\u6570\u9636\uff0c\u65f6\u95f4\u589e\u957f\u5f97\u5f88\u6162\uff0c\u662f\u7406\u60f3\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002</p> <p>\u5bf9\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u300c\u4e8c\u5206\u67e5\u627e\u300d\u548c\u300c\u5206\u6cbb\u7b97\u6cd5\u300d\u4e2d\uff0c\u4f53\u73b0\u201c\u4e00\u5206\u4e3a\u591a\u201d\u3001\u201c\u5316\u7e41\u4e3a\u7b80\u201d\u7684\u7b97\u6cd5\u601d\u60f3\u3002</p> <p>\u8bbe\u8f93\u5165\u6570\u636e\u5927\u5c0f\u4e3a \\(n\\) \uff0c\u7531\u4e8e\u6bcf\u8f6e\u7f29\u51cf\u5230\u4e00\u534a\uff0c\u56e0\u6b64\u5faa\u73af\u6b21\u6570\u662f \\(\\log_2 n\\) \uff0c\u5373 \\(2^n\\) \u7684\u53cd\u51fd\u6570\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n) {\nint count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n) {\nint count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\"\"\"\ndef logarithmic(n):\ncount = 0\nwhile n &gt; 1:\nn = n / 2\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09*/\nfunc logarithmic(n float64) int {\ncount := 0\nfor n &gt; 1 {\nn = n / 2\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction logarithmic(n) {\nlet count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunction logarithmic(n: number): number {\nlet count = 0;\nwhile (n &gt; 1) {\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{logarithmic}\n</code></pre> time_complexity.cs<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nint logarithmic(float n)\n{\nint count = 0;\nwhile (n &gt; 1)\n{\nn = n / 2;\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09 */\nfunc logarithmic(n: Int) -&gt; Int {\nvar count = 0\nvar n = n\nwhile n &gt; 1 {\nn = n / 2\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u5bf9\u6570\u9636\uff08\u5faa\u73af\u5b9e\u73b0\uff09\nfn logarithmic(n: f32) i32 {\nvar count: i32 = 0;\nvar n_var = n;\nwhile (n_var &gt; 1)\n{\nn_var = n_var / 2;\ncount +=1;\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p> <p>\u4e0e\u6307\u6570\u9636\u7c7b\u4f3c\uff0c\u5bf9\u6570\u9636\u4e5f\u5e38\u51fa\u73b0\u4e8e\u9012\u5f52\u51fd\u6570\u3002\u4ee5\u4e0b\u4ee3\u7801\u5f62\u6210\u4e86\u4e00\u4e2a\u9ad8\u5ea6\u4e3a \\(\\log_2 n\\) \u7684\u9012\u5f52\u6811\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef log_recur(n):\nif n &lt;= 1: return 0\nreturn log_recur(n / 2) + 1\n</code></pre> time_complexity.go<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09*/\nfunc logRecur(n float64) int {\nif n &lt;= 1 {\nreturn 0\n}\nreturn logRecur(n/2) + 1\n}\n</code></pre> time_complexity.js<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction logRecur(n) {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction logRecur(n: number): number {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{logRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint logRecur(float n)\n{\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc logRecur(n: Int) -&gt; Int {\nif n &lt;= 1 {\nreturn 0\n}\nreturn logRecur(n: n / 2) + 1\n}\n</code></pre> time_complexity.zig<pre><code>// \u5bf9\u6570\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn logRecur(n: f32) i32 {\nif (n &lt;= 1) return 0;\nreturn logRecur(n / 2) + 1;\n}\n</code></pre>"},{"location":"chapter_computational_complexity/time_complexity/#on-log-n","title":"\u7ebf\u6027\u5bf9\u6570\u9636 \\(O(n \\log n)\\)","text":"<p>\u7ebf\u6027\u5bf9\u6570\u9636\u5e38\u51fa\u73b0\u4e8e\u5d4c\u5957\u5faa\u73af\u4e2d\uff0c\u4e24\u5c42\u5faa\u73af\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u522b\u4e3a \\(O(\\log n)\\) \u548c \\(O(n)\\) \u3002</p> <p>\u4e3b\u6d41\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f \\(O(n \\log n )\\) \uff0c\u4f8b\u5982\u5feb\u901f\u6392\u5e8f\u3001\u5f52\u5e76\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u7b49\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n) {\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n) {\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u7ebf\u6027\u5bf9\u6570\u9636 \"\"\"\ndef linear_log_recur(n):\nif n &lt;= 1: return 1\ncount = linear_log_recur(n // 2) + \\\n            linear_log_recur(n // 2)\nfor _ in range(n):\ncount += 1\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunc linearLogRecur(n float64) int {\nif n &lt;= 1 {\nreturn 1\n}\ncount := linearLogRecur(n/2) +\nlinearLogRecur(n/2)\nfor i := 0.0; i &lt; n; i++ {\ncount++\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunction linearLogRecur(n) {\nif (n &lt;= 1) return 1;\nlet count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (let i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunction linearLogRecur(n: number): number {\nif (n &lt;= 1) return 1;\nlet count = linearLogRecur(n / 2) + linearLogRecur(n / 2);\nfor (let i = 0; i &lt; n; i++) {\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{linearLogRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nint linearLogRecur(float n)\n{\nif (n &lt;= 1) return 1;\nint count = linearLogRecur(n / 2) +\nlinearLogRecur(n / 2);\nfor (int i = 0; i &lt; n; i++)\n{\ncount++;\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u7ebf\u6027\u5bf9\u6570\u9636 */\nfunc linearLogRecur(n: Double) -&gt; Int {\nif n &lt;= 1 {\nreturn 1\n}\nvar count = linearLogRecur(n: n / 2) + linearLogRecur(n: n / 2)\nfor _ in 0 ..&lt; Int(n) {\ncount += 1\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u7ebf\u6027\u5bf9\u6570\u9636\nfn linearLogRecur(n: f32) i32 {\nif (n &lt;= 1) return 1;\nvar count: i32 = linearLogRecur(n / 2) +\nlinearLogRecur(n / 2);\nvar i: f32 = 0;\nwhile (i &lt; n) : (i += 1) {\ncount += 1;\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u7ebf\u6027\u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/time_complexity/#on_1","title":"\u9636\u4e58\u9636 \\(O(n!)\\)","text":"<p>\u9636\u4e58\u9636\u5bf9\u5e94\u6570\u5b66\u4e0a\u7684\u300c\u5168\u6392\u5217\u300d\u3002\u5373\u7ed9\u5b9a \\(n\\) \u4e2a\u4e92\u4e0d\u91cd\u590d\u7684\u5143\u7d20\uff0c\u6c42\u5176\u6240\u6709\u53ef\u80fd\u7684\u6392\u5217\u65b9\u6848\uff0c\u5219\u65b9\u6848\u6570\u91cf\u4e3a</p> \\[ n! = n \\times (n - 1) \\times (n - 2) \\times \\cdots \\times 2 \\times 1 \\] <p>\u9636\u4e58\u5e38\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\u3002\u4f8b\u5982\u4ee5\u4e0b\u4ee3\u7801\uff0c\u7b2c\u4e00\u5c42\u5206\u88c2\u51fa \\(n\\) \u4e2a\uff0c\u7b2c\u4e8c\u5c42\u5206\u88c2\u51fa \\(n - 1\\) \u4e2a\uff0c\u2026\u2026 \uff0c\u76f4\u81f3\u5230\u7b2c \\(n\\) \u5c42\u65f6\u7ec8\u6b62\u5206\u88c2\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig time_complexity.java<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n) {\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.cpp<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n) {\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.py<pre><code>\"\"\" \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\"\"\"\ndef factorial_recur(n):\nif n == 0: return 1\ncount = 0\n# \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor _ in range(n):\ncount += factorial_recur(n - 1)\nreturn count\n</code></pre> time_complexity.go<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc factorialRecur(n int) int {\nif n == 0 {\nreturn 1\n}\ncount := 0\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor i := 0; i &lt; n; i++ {\ncount += factorialRecur(n - 1)\n}\nreturn count\n}\n</code></pre> time_complexity.js<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction factorialRecur(n) {\nif (n == 0) return 1;\nlet count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (let i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.ts<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunction factorialRecur(n: number): number {\nif (n == 0) return 1;\nlet count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (let i = 0; i &lt; n; i++) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.c<pre><code>[class]{}-[func]{factorialRecur}\n</code></pre> time_complexity.cs<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nint factorialRecur(int n)\n{\nif (n == 0) return 1;\nint count = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor (int i = 0; i &lt; n; i++)\n{\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> time_complexity.swift<pre><code>/* \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09 */\nfunc factorialRecur(n: Int) -&gt; Int {\nif n == 0 {\nreturn 1\n}\nvar count = 0\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nfor _ in 0 ..&lt; n {\ncount += factorialRecur(n: n - 1)\n}\nreturn count\n}\n</code></pre> time_complexity.zig<pre><code>// \u9636\u4e58\u9636\uff08\u9012\u5f52\u5b9e\u73b0\uff09\nfn factorialRecur(n: i32) i32 {\nif (n == 0) return 1;\nvar count: i32 = 0;\nvar i: i32 = 0;\n// \u4ece 1 \u4e2a\u5206\u88c2\u51fa n \u4e2a\nwhile (i &lt; n) : (i += 1) {\ncount += factorialRecur(n - 1);\n}\nreturn count;\n}\n</code></pre> <p></p> <p> Fig. \u9636\u4e58\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6 </p>"},{"location":"chapter_computational_complexity/time_complexity/#226","title":"2.2.6. \u6700\u5dee\u3001\u6700\u4f73\u3001\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6","text":"<p>\u67d0\u4e9b\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u662f\u6052\u5b9a\u7684\uff0c\u800c\u662f\u4e0e\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\u6709\u5173\u3002\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8f93\u5165\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u6570\u7ec4 <code>nums</code> \uff0c\u5176\u4e2d <code>nums</code> \u7531\u4ece \\(1\\) \u81f3 \\(n\\) \u7684\u6570\u5b57\u7ec4\u6210\uff0c\u4f46\u5143\u7d20\u987a\u5e8f\u662f\u968f\u673a\u6253\u4e71\u7684\uff1b\u7b97\u6cd5\u7684\u4efb\u52a1\u662f\u8fd4\u56de\u5143\u7d20 \\(1\\) \u7684\u7d22\u5f15\u3002\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u4ee5\u4e0b\u7ed3\u8bba\uff1a</p> <ul> <li>\u5f53 <code>nums = [?, ?, ..., 1]</code>\uff0c\u5373\u5f53\u672b\u5c3e\u5143\u7d20\u662f \\(1\\) \u65f6\uff0c\u5219\u9700\u5b8c\u6574\u904d\u5386\u6570\u7ec4\uff0c\u6b64\u65f6\u8fbe\u5230 \u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1b</li> <li>\u5f53 <code>nums = [1, ?, ?, ...]</code> \uff0c\u5373\u5f53\u9996\u4e2a\u6570\u5b57\u4e3a \\(1\\) \u65f6\uff0c\u65e0\u8bba\u6570\u7ec4\u591a\u957f\u90fd\u4e0d\u9700\u8981\u7ee7\u7eed\u904d\u5386\uff0c\u6b64\u65f6\u8fbe\u5230 \u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 \\(\\Omega(1)\\) \uff1b</li> </ul> <p>\u300c\u51fd\u6570\u6e10\u8fd1\u4e0a\u754c\u300d\u4f7f\u7528\u5927 \\(O\\) \u8bb0\u53f7\u8868\u793a\uff0c\u4ee3\u8868\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u3002\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u300c\u51fd\u6570\u6e10\u8fd1\u4e0b\u754c\u300d\u7528 \\(\\Omega\\) \u8bb0\u53f7\uff08Omega Notation\uff09\u6765\u8868\u793a\uff0c\u4ee3\u8868\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig worst_best_time_complexity.java<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint[] randomNumbers(int n) {\nInteger[] nums = new Integer[n];\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nCollections.shuffle(Arrays.asList(nums));\n// Integer[] -&gt; int[]\nint[] res = new int[n];\nfor (int i = 0; i &lt; n; i++) {\nres[i] = nums[i];\n}\nreturn res;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int[] nums) {\nfor (int i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.cpp<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nvector&lt;int&gt; randomNumbers(int n) {\nvector&lt;int&gt; nums(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u4f7f\u7528\u7cfb\u7edf\u65f6\u95f4\u751f\u6210\u968f\u673a\u79cd\u5b50\nunsigned seed = chrono::system_clock::now().time_since_epoch().count();\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nshuffle(nums.begin(), nums.end(), default_random_engine(seed));\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(vector&lt;int&gt;&amp; nums) {\nfor (int i = 0; i &lt; nums.size(); i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.py<pre><code>\"\"\" \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a: 1, 2, ..., n \uff0c\u987a\u5e8f\u88ab\u6253\u4e71 \"\"\"\ndef random_numbers(n):\n# \u751f\u6210\u6570\u7ec4 nums =: 1, 2, 3, ..., n\nnums = [i for i in range(1, n + 1)]\n# \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nrandom.shuffle(nums)\nreturn nums\n\"\"\" \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 \"\"\"\ndef find_one(nums):\nfor i in range(len(nums)):\n# \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n# \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1:\nreturn i\nreturn -1\n</code></pre> worst_best_time_complexity.go<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunc randomNumbers(n int) []int {\nnums := make([]int, n)\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor i := 0; i &lt; n; i++ {\nnums[i] = i + 1\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nrand.Shuffle(len(nums), func(i, j int) {\nnums[i], nums[j] = nums[j], nums[i]\n})\nreturn nums\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunc findOne(nums []int) int {\nfor i := 0; i &lt; len(nums); i++ {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1 {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> worst_best_time_complexity.js<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunction randomNumbers(n) {\nconst nums = Array(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (let i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (let i = 0; i &lt; n; i++) {\nconst r = Math.floor(Math.random() * (i + 1));\nconst temp = nums[i];\nnums[i] = nums[r];\nnums[r] = temp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunction findOne(nums) {\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] === 1) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.ts<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunction randomNumbers(n: number): number[] {\nconst nums = Array(n);\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (let i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (let i = 0; i &lt; n; i++) {\nconst r = Math.floor(Math.random() * (i + 1));\nconst temp = nums[i];\nnums[i] = nums[r];\nnums[r] = temp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunction findOne(nums: number[]): number {\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] === 1) {\nreturn i;\n}\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.c<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint *randomNumbers(int n) {\n// \u5206\u914d\u5806\u533a\u5185\u5b58\uff08\u521b\u5efa\u4e00\u7ef4\u53ef\u53d8\u957f\u6570\u7ec4\uff1a\u6570\u7ec4\u4e2d\u5143\u7d20\u6570\u91cf\u4e3an\uff0c\u5143\u7d20\u7c7b\u578b\u4e3aint\uff09\nint *nums = (int *)malloc(n * sizeof(int));\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++) {\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20 \nfor (int i = n - 1; i &gt; 0; i--) {\nint j = rand() % (i + 1);\nint temp = nums[i];\nnums[i] = nums[j];\nnums[j] = temp; }\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int *nums, int n) {\nfor (int i = 0; i &lt; n; i++) {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1) return i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.cs<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nint[] randomNumbers(int n)\n{\nint[] nums = new int[n];\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (int i = 0; i &lt; n; i++)\n{\nnums[i] = i + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nfor (int i = 0; i &lt; nums.Length; i++)\n{\nvar index = new Random().Next(i, nums.Length);\nvar tmp = nums[i];\nvar ran = nums[index];\nnums[i] = ran;\nnums[index] = tmp;\n}\nreturn nums;\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nint findOne(int[] nums)\n{\nfor (int i = 0; i &lt; nums.Length; i++)\n{\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (nums[i] == 1)\nreturn i;\n}\nreturn -1;\n}\n</code></pre> worst_best_time_complexity.swift<pre><code>/* \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71 */\nfunc randomNumbers(n: Int) -&gt; [Int] {\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nvar nums = Array(1 ... n)\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nnums.shuffle()\nreturn nums\n}\n/* \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15 */\nfunc findOne(nums: [Int]) -&gt; Int {\nfor i in nums.indices {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif nums[i] == 1 {\nreturn i\n}\n}\nreturn -1\n}\n</code></pre> worst_best_time_complexity.zig<pre><code>// \u751f\u6210\u4e00\u4e2a\u6570\u7ec4\uff0c\u5143\u7d20\u4e3a { 1, 2, ..., n }\uff0c\u987a\u5e8f\u88ab\u6253\u4e71\npub fn randomNumbers(comptime n: usize) [n]i32 {\nvar nums: [n]i32 = undefined;\n// \u751f\u6210\u6570\u7ec4 nums = { 1, 2, 3, ..., n }\nfor (nums) |*num, i| {\nnum.* = @intCast(i32, i) + 1;\n}\n// \u968f\u673a\u6253\u4e71\u6570\u7ec4\u5143\u7d20\nconst rand = std.crypto.random;\nrand.shuffle(i32, &amp;nums);\nreturn nums;\n}\n// \u67e5\u627e\u6570\u7ec4 nums \u4e2d\u6570\u5b57 1 \u6240\u5728\u7d22\u5f15\npub fn findOne(nums: []i32) i32 {\nfor (nums) |num, i| {\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 O(1)\n// \u5f53\u5143\u7d20 1 \u5728\u6570\u7ec4\u5c3e\u90e8\u65f6\uff0c\u8fbe\u5230\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 O(n)\nif (num == 1) return @intCast(i32, i);\n}\nreturn -1;\n}\n</code></pre> <p>Tip</p> <p>\u6211\u4eec\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u5f88\u5c11\u4f7f\u7528\u300c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u300d\uff0c\u56e0\u4e3a\u5f80\u5f80\u53ea\u6709\u5f88\u5c0f\u6982\u7387\u4e0b\u624d\u80fd\u8fbe\u5230\uff0c\u4f1a\u5e26\u6765\u4e00\u5b9a\u7684\u8bef\u5bfc\u6027\u3002\u53cd\u4e4b\uff0c\u300c\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u6700\u4e3a\u5b9e\u7528\uff0c\u56e0\u4e3a\u5b83\u7ed9\u51fa\u4e86\u4e00\u4e2a\u201c\u6548\u7387\u5b89\u5168\u503c\u201d\uff0c\u8ba9\u6211\u4eec\u53ef\u4ee5\u653e\u5fc3\u5730\u4f7f\u7528\u7b97\u6cd5\u3002</p> <p>\u4ece\u4e0a\u8ff0\u793a\u4f8b\u53ef\u4ee5\u770b\u51fa\uff0c\u6700\u5dee\u6216\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u53ea\u51fa\u73b0\u5728\u201c\u7279\u6b8a\u5206\u5e03\u7684\u6570\u636e\u201d\u4e2d\uff0c\u8fd9\u4e9b\u60c5\u51b5\u7684\u51fa\u73b0\u6982\u7387\u5f80\u5f80\u5f88\u5c0f\uff0c\u56e0\u6b64\u5e76\u4e0d\u80fd\u6700\u771f\u5b9e\u5730\u53cd\u6620\u7b97\u6cd5\u8fd0\u884c\u6548\u7387\u3002\u76f8\u5bf9\u5730\uff0c\u300c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u300d\u53ef\u4ee5\u4f53\u73b0\u7b97\u6cd5\u5728\u968f\u673a\u8f93\u5165\u6570\u636e\u4e0b\u7684\u8fd0\u884c\u6548\u7387\uff0c\u7528 \\(\\Theta\\) \u8bb0\u53f7\uff08Theta Notation\uff09\u6765\u8868\u793a\u3002</p> <p>\u5bf9\u4e8e\u90e8\u5206\u7b97\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u63a8\u7b97\u51fa\u968f\u673a\u6570\u636e\u5206\u5e03\u4e0b\u7684\u5e73\u5747\u60c5\u51b5\u3002\u6bd4\u5982\u4e0a\u8ff0\u793a\u4f8b\uff0c\u7531\u4e8e\u8f93\u5165\u6570\u7ec4\u662f\u88ab\u6253\u4e71\u7684\uff0c\u56e0\u6b64\u5143\u7d20 \\(1\\) \u51fa\u73b0\u5728\u4efb\u610f\u7d22\u5f15\u7684\u6982\u7387\u90fd\u662f\u76f8\u7b49\u7684\uff0c\u90a3\u4e48\u7b97\u6cd5\u7684\u5e73\u5747\u5faa\u73af\u6b21\u6570\u5219\u662f\u6570\u7ec4\u957f\u5ea6\u7684\u4e00\u534a \\(\\frac{n}{2}\\) \uff0c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(\\Theta(\\frac{n}{2}) = \\Theta(n)\\) \u3002</p> <p>\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5c24\u5176\u662f\u8f83\u4e3a\u590d\u6742\u7684\u7b97\u6cd5\uff0c\u8ba1\u7b97\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u6bd4\u8f83\u56f0\u96be\uff0c\u56e0\u4e3a\u5f88\u96be\u7b80\u4fbf\u5730\u5206\u6790\u51fa\u5728\u6570\u636e\u5206\u5e03\u4e0b\u7684\u6574\u4f53\u6570\u5b66\u671f\u671b\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e00\u822c\u4f7f\u7528\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u4f5c\u4e3a\u7b97\u6cd5\u6548\u7387\u7684\u8bc4\u5224\u6807\u51c6\u3002</p> <p>\u4e3a\u4ec0\u4e48\u5f88\u5c11\u770b\u5230 \\(\\Theta\\) \u7b26\u53f7\uff1f</p> <p>\u5b9e\u9645\u4e2d\u6211\u4eec\u7ecf\u5e38\u4f7f\u7528\u300c\u5927 \\(O\\) \u7b26\u53f7\u300d\u6765\u8868\u793a\u300c\u5e73\u5747\u590d\u6742\u5ea6\u300d\uff0c\u8fd9\u6837\u4e25\u683c\u610f\u4e49\u4e0a\u6765\u8bf4\u662f\u4e0d\u89c4\u8303\u7684\u3002\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a \\(O\\) \u7b26\u53f7\u5b9e\u5728\u662f\u592a\u6717\u6717\u4e0a\u53e3\u4e86\u3002\u5982\u679c\u5728\u672c\u4e66\u548c\u5176\u4ed6\u8d44\u6599\u4e2d\u770b\u5230\u7c7b\u4f3c \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \u7684\u8868\u8ff0\uff0c\u8bf7\u4f60\u76f4\u63a5\u7406\u89e3\u4e3a \\(\\Theta(n)\\) \u5373\u53ef\u3002</p>"},{"location":"chapter_data_structure/classification_of_data_structure/","title":"3.2. \u6570\u636e\u7ed3\u6784\u5206\u7c7b","text":"<p>\u6570\u636e\u7ed3\u6784\u4e3b\u8981\u53ef\u6839\u636e\u300c\u903b\u8f91\u7ed3\u6784\u300d\u548c\u300c\u7269\u7406\u7ed3\u6784\u300d\u4e24\u79cd\u89d2\u5ea6\u8fdb\u884c\u5206\u7c7b\u3002</p>"},{"location":"chapter_data_structure/classification_of_data_structure/#321","title":"3.2.1. \u903b\u8f91\u7ed3\u6784\uff1a\u7ebf\u6027\u4e0e\u975e\u7ebf\u6027","text":"<p>\u300c\u903b\u8f91\u7ed3\u6784\u300d\u53cd\u6620\u4e86\u6570\u636e\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\u3002\u6570\u7ec4\u548c\u94fe\u8868\u7684\u6570\u636e\u6309\u7167\u987a\u5e8f\u4f9d\u6b21\u6392\u5217\uff0c\u53cd\u6620\u4e86\u6570\u636e\u95f4\u7684\u7ebf\u6027\u5173\u7cfb\uff1b\u6811\u4ece\u9876\u81f3\u5e95\u6309\u5c42\u7ea7\u6392\u5217\uff0c\u53cd\u6620\u4e86\u7956\u5148\u4e0e\u540e\u4ee3\u4e4b\u95f4\u7684\u6d3e\u751f\u5173\u7cfb\uff1b\u56fe\u7531\u7ed3\u70b9\u548c\u8fb9\u7ec4\u6210\uff0c\u53cd\u6620\u4e86\u590d\u6742\u7f51\u7edc\u5173\u7cfb\u3002</p> <p>\u6211\u4eec\u4e00\u822c\u5c06\u903b\u8f91\u7ed3\u6784\u5206\u4e3a\u300c\u7ebf\u6027\u300d\u548c\u300c\u975e\u7ebf\u6027\u300d\u4e24\u79cd\u3002\u201c\u7ebf\u6027\u201d\u8fd9\u4e2a\u6982\u5ff5\u5f88\u76f4\u89c2\uff0c\u5373\u8868\u660e\u6570\u636e\u5728\u903b\u8f91\u5173\u7cfb\u4e0a\u662f\u6392\u6210\u4e00\u6761\u7ebf\u7684\uff1b\u800c\u5982\u679c\u6570\u636e\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\u662f\u975e\u7ebf\u6027\u7684\uff08\u4f8b\u5982\u662f\u7f51\u72b6\u6216\u6811\u72b6\u7684\uff09\uff0c\u90a3\u4e48\u5c31\u662f\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002</p> <ul> <li>\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff1a\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\uff1b</li> <li>\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff1a\u6811\u3001\u56fe\u3001\u5806\u3001\u54c8\u5e0c\u8868\uff1b</li> </ul> <p></p> <p> Fig. \u7ebf\u6027\u4e0e\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784 </p>"},{"location":"chapter_data_structure/classification_of_data_structure/#322","title":"3.2.2. \u7269\u7406\u7ed3\u6784\uff1a\u8fde\u7eed\u4e0e\u79bb\u6563","text":"<p>Note</p> <p>\u82e5\u611f\u5230\u9605\u8bfb\u56f0\u96be\uff0c\u5efa\u8bae\u5148\u770b\u5b8c\u4e0b\u4e2a\u7ae0\u8282\u300c\u6570\u7ec4\u4e0e\u94fe\u8868\u300d\uff0c\u518d\u56de\u8fc7\u5934\u6765\u7406\u89e3\u7269\u7406\u7ed3\u6784\u7684\u542b\u4e49\u3002</p> <p>\u300c\u7269\u7406\u7ed3\u6784\u300d\u53cd\u6620\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u5b58\u50a8\u65b9\u5f0f\u3002\u4ece\u672c\u8d28\u4e0a\u770b\uff0c\u5206\u522b\u662f \u6570\u7ec4\u7684\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8 \u548c \u94fe\u8868\u7684\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\u3002\u7269\u7406\u7ed3\u6784\u4ece\u5e95\u5c42\u4e0a\u51b3\u5b9a\u4e86\u6570\u636e\u7684\u8bbf\u95ee\u3001\u66f4\u65b0\u3001\u589e\u5220\u7b49\u64cd\u4f5c\u65b9\u6cd5\uff0c\u5728\u65f6\u95f4\u6548\u7387\u548c\u7a7a\u95f4\u6548\u7387\u65b9\u9762\u5448\u73b0\u51fa\u6b64\u6d88\u5f7c\u957f\u7684\u7279\u6027\u3002</p> <p></p> <p> Fig. \u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\u4e0e\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8 </p> <p>\u6240\u6709\u6570\u636e\u7ed3\u6784\u90fd\u662f\u57fa\u4e8e\u6570\u7ec4\u3001\u6216\u94fe\u8868\u3001\u6216\u4e24\u8005\u7ec4\u5408\u5b9e\u73b0\u7684\u3002\u4f8b\u5982\u6808\u548c\u961f\u5217\uff0c\u65e2\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u5b9e\u73b0\u3001\u4e5f\u53ef\u4ee5\u4f7f\u7528\u94fe\u8868\u5b9e\u73b0\uff0c\u800c\u4f8b\u5982\u54c8\u5e0c\u8868\uff0c\u5176\u5b9e\u73b0\u540c\u65f6\u5305\u542b\u4e86\u6570\u7ec4\u548c\u94fe\u8868\u3002</p> <ul> <li>\u57fa\u4e8e\u6570\u7ec4\u53ef\u5b9e\u73b0\uff1a\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\u3001\u6811\u3001\u5806\u3001\u56fe\u3001\u77e9\u9635\u3001\u5f20\u91cf\uff08\u7ef4\u5ea6 \\(\\geq 3\\) \u7684\u6570\u7ec4\uff09\u7b49\uff1b</li> <li>\u57fa\u4e8e\u94fe\u8868\u53ef\u5b9e\u73b0\uff1a\u6808\u3001\u961f\u5217\u3001\u54c8\u5e0c\u8868\u3001\u6811\u3001\u5806\u3001\u56fe\u7b49\uff1b</li> </ul> <p>\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u4e5f\u88ab\u79f0\u4e3a\u300c\u9759\u6001\u6570\u636e\u7ed3\u6784\u300d\uff0c\u8fd9\u610f\u5473\u7740\u8be5\u6570\u636e\u7ed3\u6784\u5728\u5728\u88ab\u521d\u59cb\u5316\u540e\uff0c\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u76f8\u53cd\u5730\uff0c\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u88ab\u79f0\u4e3a\u300c\u52a8\u6001\u6570\u636e\u7ed3\u6784\u300d\uff0c\u8be5\u6570\u636e\u7ed3\u6784\u5728\u88ab\u521d\u59cb\u5316\u540e\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u5728\u7a0b\u5e8f\u8fd0\u884c\u4e2d\u4fee\u6539\u5176\u957f\u5ea6\u3002</p> <p>Tip</p> <p>\u6570\u7ec4\u4e0e\u94fe\u8868\u662f\u5176\u4ed6\u6240\u6709\u6570\u636e\u7ed3\u6784\u7684\u201c\u5e95\u5c42\u79ef\u6728\u201d\uff0c\u5efa\u8bae\u8bfb\u8005\u4e00\u5b9a\u8981\u591a\u82b1\u4e9b\u65f6\u95f4\u4e86\u89e3\u3002</p>"},{"location":"chapter_data_structure/data_and_memory/","title":"3.1. \u6570\u636e\u4e0e\u5185\u5b58","text":""},{"location":"chapter_data_structure/data_and_memory/#311","title":"3.1.1. \u57fa\u672c\u6570\u636e\u7c7b\u578b","text":"<p>\u8c08\u5230\u8ba1\u7b97\u673a\u4e2d\u7684\u6570\u636e\uff0c\u6211\u4eec\u80fd\u591f\u60f3\u5230\u6587\u672c\u3001\u56fe\u7247\u3001\u89c6\u9891\u3001\u8bed\u97f3\u30013D \u6a21\u578b\u7b49\u7b49\uff0c\u8fd9\u4e9b\u6570\u636e\u867d\u7136\u7ec4\u7ec7\u5f62\u5f0f\u4e0d\u540c\uff0c\u4f46\u662f\u6709\u4e00\u4e2a\u5171\u540c\u70b9\uff0c\u5373\u90fd\u662f\u7531\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u6784\u6210\u7684\u3002</p> <p>\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u662f CPU \u53ef\u4ee5\u76f4\u63a5\u8fdb\u884c\u8fd0\u7b97\u7684\u7c7b\u578b\uff0c\u5728\u7b97\u6cd5\u4e2d\u76f4\u63a5\u88ab\u4f7f\u7528\u3002</p> <ul> <li>\u300c\u6574\u6570\u300d\u6839\u636e\u4e0d\u540c\u7684\u957f\u5ea6\u5206\u4e3a byte, short, int, long \uff0c\u6839\u636e\u7b97\u6cd5\u9700\u6c42\u9009\u7528\uff0c\u5373\u5728\u6ee1\u8db3\u53d6\u503c\u8303\u56f4\u7684\u60c5\u51b5\u4e0b\u5c3d\u91cf\u51cf\u5c0f\u5185\u5b58\u7a7a\u95f4\u5360\u7528\uff1b</li> <li>\u300c\u6d6e\u70b9\u6570\u300d\u4ee3\u8868\u5c0f\u6570\uff0c\u6839\u636e\u957f\u5ea6\u5206\u4e3a float, double \uff0c\u540c\u6837\u6839\u636e\u7b97\u6cd5\u7684\u5b9e\u9645\u9700\u6c42\u9009\u7528\uff1b</li> <li>\u300c\u5b57\u7b26\u300d\u5728\u8ba1\u7b97\u673a\u4e2d\u662f\u4ee5\u5b57\u7b26\u96c6\u7684\u5f62\u5f0f\u4fdd\u5b58\u7684\uff0cchar \u7684\u503c\u5b9e\u9645\u4e0a\u662f\u6570\u5b57\uff0c\u4ee3\u8868\u5b57\u7b26\u96c6\u4e2d\u7684\u7f16\u53f7\uff0c\u8ba1\u7b97\u673a\u901a\u8fc7\u5b57\u7b26\u96c6\u67e5\u8868\u6765\u5b8c\u6210\u7f16\u53f7\u5230\u5b57\u7b26\u7684\u8f6c\u6362\u3002\u5360\u7528\u7a7a\u95f4\u4e0e\u5177\u4f53\u7f16\u7a0b\u8bed\u8a00\u6709\u5173\uff0c\u901a\u5e38\u4e3a 2 bytes \u6216 1 byte \uff1b</li> <li>\u300c\u5e03\u5c14\u300d\u4ee3\u8868\u903b\u8f91\u4e2d\u7684 \u201c\u662f\u201d \u4e0e \u201c\u5426\u201d \uff0c\u5176\u5360\u7528\u7a7a\u95f4\u9700\u8981\u5177\u4f53\u6839\u636e\u7f16\u7a0b\u8bed\u8a00\u786e\u5b9a\uff0c\u901a\u5e38\u4e3a 1 byte \u6216 1 bit \uff1b</li> </ul> <p>\u5b57\u8282\u4e0e\u6bd4\u7279</p> <p>1 \u5b57\u8282 (byte) = 8 \u6bd4\u7279 (bit) \uff0c 1 \u6bd4\u7279\u5373\u6700\u57fa\u672c\u7684 1 \u4e2a\u4e8c\u8fdb\u5236\u4f4d</p> <p> Table. Java \u7684\u57fa\u672c\u6570\u636e\u7c7b\u578b </p> \u7c7b\u522b \u7b26\u53f7 \u5360\u7528\u7a7a\u95f4 \u53d6\u503c\u8303\u56f4 \u9ed8\u8ba4\u503c \u6574\u6570 byte 1 byte \\(-2^7\\) ~ \\(2^7 - 1\\) ( \\(-128\\) ~ \\(127\\) ) \\(0\\) short 2 bytes \\(-2^{15}\\) ~ \\(2^{15} - 1\\) \\(0\\) int 4 bytes \\(-2^{31}\\) ~ \\(2^{31} - 1\\) \\(0\\) long 8 bytes \\(-2^{63}\\) ~ \\(2^{63} - 1\\) \\(0\\) \u6d6e\u70b9\u6570 float 4 bytes \\(-3.4 \\times 10^{38}\\) ~ \\(3.4 \\times 10^{38}\\) \\(0.0\\) f double 8 bytes \\(-1.7 \\times 10^{308}\\) ~ \\(1.7 \\times 10^{308}\\) \\(0.0\\) \u5b57\u7b26 char 2 bytes / 1 byte \\(0\\) ~ \\(2^{16} - 1\\) \\(0\\) \u5e03\u5c14 boolean(bool) 1 byte / 1 bit \\(\\text{true}\\) \u6216 \\(\\text{false}\\) \\(\\text{false}\\) <p>Tip</p> <p>\u4ee5\u4e0a\u8868\u683c\u4e2d\uff0c\u52a0\u7c97\u9879\u5728\u300c\u7b97\u6cd5\u9898\u300d\u4e2d\u6700\u4e3a\u5e38\u7528\u3002\u6b64\u8868\u683c\u65e0\u9700\u786c\u80cc\uff0c\u5927\u81f4\u7406\u89e3\u5373\u53ef\uff0c\u9700\u8981\u65f6\u53ef\u4ee5\u901a\u8fc7\u67e5\u8868\u6765\u56de\u5fc6\u3002</p> <p>\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u4e0e\u300c\u6570\u636e\u7ed3\u6784\u300d\u4e4b\u95f4\u7684\u8054\u7cfb\u4e0e\u533a\u522b</p> <p>\u6211\u4eec\u77e5\u9053\uff0c\u6570\u636e\u7ed3\u6784\u662f\u5728\u8ba1\u7b97\u673a\u4e2d \u7ec4\u7ec7\u4e0e\u5b58\u50a8\u6570\u636e\u7684\u65b9\u5f0f\uff0c\u5b83\u7684\u4e3b\u8bed\u662f\u201c\u7ed3\u6784\u201d\uff0c\u800c\u4e0d\u662f\u201c\u6570\u636e\u201d\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u8868\u793a\u201c\u4e00\u6392\u6570\u5b57\u201d\uff0c\u81ea\u7136\u5e94\u8be5\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u8fd9\u4e2a\u6570\u636e\u7ed3\u6784\u3002\u6570\u7ec4\u7684\u5b58\u50a8\u65b9\u5f0f\u4f7f\u4e4b\u53ef\u4ee5\u8868\u793a\u6570\u5b57\u7684\u76f8\u90bb\u5173\u7cfb\u3001\u5148\u540e\u5173\u7cfb\u7b49\u4e00\u7cfb\u5217\u6211\u4eec\u9700\u8981\u7684\u4fe1\u606f\uff0c\u4f46\u81f3\u4e8e\u5176\u4e2d\u5b58\u50a8\u7684\u662f\u6574\u6570 int \uff0c\u8fd8\u662f\u5c0f\u6570 float \uff0c\u6216\u662f\u5b57\u7b26 char \uff0c\u5219\u4e0e\u6240\u8c13\u7684\u6570\u636e\u7684\u7ed3\u6784\u65e0\u5173\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint[] numbers = new int[5];\nfloat[] decimals = new float[5];\nchar[] characters = new char[5];\nboolean[] booleans = new boolean[5];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint numbers[5];\nfloat decimals[5];\nchar characters[5];\nbool booleans[5];\n</code></pre> <pre><code>\"\"\" Python \u7684 list \u53ef\u4ee5\u81ea\u7531\u5b58\u50a8\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u548c\u5bf9\u8c61 \"\"\"\nlist = [0, 0.0, 'a', False]\n</code></pre> <pre><code>// \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d\nvar numbers = [5]int{}\nvar decimals = [5]float64{}\nvar characters = [5]byte{}\nvar booleans = [5]bool{}\n</code></pre> <pre><code>/* JavaScript \u7684\u6570\u7ec4\u53ef\u4ee5\u81ea\u7531\u5b58\u50a8\u5404\u79cd\u57fa\u672c\u6570\u636e\u7c7b\u578b\u548c\u5bf9\u8c61 */\nconst array = [0, 0.0, 'a', false];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nconst numbers: number[] = [];\nconst characters: string[] = [];\nconst booleans: boolean[] = [];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint numbers[10];\nfloat decimals[10];\nchar characters[10];\nbool booleans[10];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nint[] numbers = new int[5];\nfloat[] decimals = new float[5];\nchar[] characters = new char[5];\nbool[] booleans = new bool[5];\n</code></pre> <pre><code>/* \u4f7f\u7528\u591a\u79cd\u300c\u57fa\u672c\u6570\u636e\u7c7b\u578b\u300d\u6765\u521d\u59cb\u5316\u300c\u6570\u7ec4\u300d */\nlet numbers = Array(repeating: Int(), count: 5)\nlet decimals = Array(repeating: Double(), count: 5)\nlet characters = Array(repeating: Character(\"a\"), count: 5)\nlet booleans = Array(repeating: Bool(), count: 5)\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_data_structure/data_and_memory/#312","title":"3.1.2. \u8ba1\u7b97\u673a\u5185\u5b58","text":"<p>\u5728\u8ba1\u7b97\u673a\u4e2d\uff0c\u5185\u5b58\u548c\u786c\u76d8\u662f\u4e24\u79cd\u4e3b\u8981\u7684\u5b58\u50a8\u786c\u4ef6\u8bbe\u5907\u3002\u300c\u786c\u76d8\u300d\u4e3b\u8981\u7528\u4e8e\u957f\u671f\u5b58\u50a8\u6570\u636e\uff0c\u5bb9\u91cf\u8f83\u5927\uff08\u901a\u5e38\u53ef\u8fbe\u5230 TB \u7ea7\u522b\uff09\u3001\u901f\u5ea6\u8f83\u6162\u3002\u300c\u5185\u5b58\u300d\u7528\u4e8e\u8fd0\u884c\u7a0b\u5e8f\u65f6\u6682\u5b58\u6570\u636e\uff0c\u901f\u5ea6\u8f83\u5feb\uff0c\u4f46\u5bb9\u91cf\u8f83\u5c0f\uff08\u901a\u5e38\u4e3a GB \u7ea7\u522b\uff09\u3002</p> <p>\u7b97\u6cd5\u8fd0\u884c\u4e2d\uff0c\u76f8\u5173\u6570\u636e\u90fd\u88ab\u5b58\u50a8\u5728\u5185\u5b58\u4e2d\u3002\u4e0b\u56fe\u5c55\u793a\u4e86\u4e00\u4e2a\u8ba1\u7b97\u673a\u5185\u5b58\u6761\uff0c\u5176\u4e2d\u6bcf\u4e2a\u9ed1\u8272\u65b9\u5757\u90fd\u5305\u542b\u4e00\u5757\u5185\u5b58\u7a7a\u95f4\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u5185\u5b58\u60f3\u8c61\u6210\u4e00\u4e2a\u5de8\u5927\u7684 Excel \u8868\u683c\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5355\u5143\u683c\u90fd\u53ef\u4ee5\u5b58\u50a8 1 byte \u7684\u6570\u636e\uff0c\u5728\u7b97\u6cd5\u8fd0\u884c\u65f6\uff0c\u6240\u6709\u6570\u636e\u90fd\u88ab\u5b58\u50a8\u5728\u8fd9\u4e9b\u5355\u5143\u683c\u4e2d\u3002</p> <p>\u7cfb\u7edf\u901a\u8fc7\u300c\u5185\u5b58\u5730\u5740 Memory Location\u300d\u6765\u8bbf\u95ee\u76ee\u6807\u5185\u5b58\u4f4d\u7f6e\u7684\u6570\u636e\u3002\u8ba1\u7b97\u673a\u6839\u636e\u7279\u5b9a\u89c4\u5219\u7ed9\u8868\u683c\u4e2d\u6bcf\u4e2a\u5355\u5143\u683c\u7f16\u53f7\uff0c\u4fdd\u8bc1\u6bcf\u5757\u5185\u5b58\u7a7a\u95f4\u90fd\u6709\u72ec\u7acb\u7684\u5185\u5b58\u5730\u5740\u3002\u81ea\u6b64\uff0c\u7a0b\u5e8f\u4fbf\u901a\u8fc7\u8fd9\u4e9b\u5730\u5740\uff0c\u8bbf\u95ee\u5185\u5b58\u4e2d\u7684\u6570\u636e\u3002</p> <p></p> <p> Fig. \u5185\u5b58\u6761\u3001\u5185\u5b58\u7a7a\u95f4\u3001\u5185\u5b58\u5730\u5740 </p> <p>\u5185\u5b58\u8d44\u6e90\u662f\u8bbe\u8ba1\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u91cd\u8981\u8003\u8651\u56e0\u7d20\u3002\u5185\u5b58\u662f\u6240\u6709\u7a0b\u5e8f\u7684\u516c\u5171\u8d44\u6e90\uff0c\u5f53\u5185\u5b58\u88ab\u67d0\u7a0b\u5e8f\u5360\u7528\u65f6\uff0c\u4e0d\u80fd\u88ab\u5176\u5b83\u7a0b\u5e8f\u540c\u65f6\u4f7f\u7528\u3002\u6211\u4eec\u9700\u8981\u6839\u636e\u5269\u4f59\u5185\u5b58\u8d44\u6e90\u7684\u60c5\u51b5\u6765\u8bbe\u8ba1\u7b97\u6cd5\u3002\u4f8b\u5982\uff0c\u82e5\u5269\u4f59\u5185\u5b58\u7a7a\u95f4\u6709\u9650\uff0c\u5219\u8981\u6c42\u7b97\u6cd5\u5360\u7528\u7684\u5cf0\u503c\u5185\u5b58\u4e0d\u80fd\u8d85\u8fc7\u7cfb\u7edf\u5269\u4f59\u5185\u5b58\uff1b\u82e5\u8fd0\u884c\u7684\u7a0b\u5e8f\u5f88\u591a\u3001\u7f3a\u5c11\u5927\u5757\u8fde\u7eed\u7684\u5185\u5b58\u7a7a\u95f4\uff0c\u5219\u8981\u6c42\u9009\u53d6\u7684\u6570\u636e\u7ed3\u6784\u5fc5\u987b\u80fd\u591f\u5b58\u50a8\u5728\u79bb\u6563\u7684\u5185\u5b58\u7a7a\u95f4\u5185\u3002</p>"},{"location":"chapter_data_structure/summary/","title":"3.3. \u5c0f\u7ed3","text":"<ul> <li>\u6574\u6570 byte, short, int, long \u3001\u6d6e\u70b9\u6570 float, double \u3001\u5b57\u7b26 char \u3001\u5e03\u5c14 boolean \u662f\u8ba1\u7b97\u673a\u4e2d\u7684\u57fa\u672c\u6570\u636e\u7c7b\u578b\uff0c\u5360\u7528\u7a7a\u95f4\u7684\u5927\u5c0f\u51b3\u5b9a\u4e86\u5b83\u4eec\u7684\u53d6\u503c\u8303\u56f4\u3002</li> <li>\u5728\u7a0b\u5e8f\u8fd0\u884c\u65f6\uff0c\u6570\u636e\u5b58\u50a8\u5728\u8ba1\u7b97\u673a\u7684\u5185\u5b58\u4e2d\u3002\u5185\u5b58\u4e2d\u6bcf\u5757\u7a7a\u95f4\u90fd\u6709\u72ec\u7acb\u7684\u5185\u5b58\u5730\u5740\uff0c\u7a0b\u5e8f\u662f\u901a\u8fc7\u5185\u5b58\u5730\u5740\u6765\u8bbf\u95ee\u6570\u636e\u7684\u3002</li> <li>\u6570\u636e\u7ed3\u6784\u4e3b\u8981\u53ef\u4ee5\u4ece\u903b\u8f91\u7ed3\u6784\u548c\u7269\u7406\u7ed3\u6784\u4e24\u4e2a\u89d2\u5ea6\u8fdb\u884c\u5206\u7c7b\u3002\u903b\u8f91\u7ed3\u6784\u53cd\u6620\u4e86\u6570\u636e\u4e2d\u5143\u7d20\u4e4b\u95f4\u7684\u903b\u8f91\u5173\u7cfb\uff0c\u7269\u7406\u7ed3\u6784\u53cd\u6620\u4e86\u6570\u636e\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u4e2d\u7684\u5b58\u50a8\u5f62\u5f0f\u3002</li> <li>\u5e38\u89c1\u7684\u903b\u8f91\u7ed3\u6784\u6709\u7ebf\u6027\u3001\u6811\u72b6\u3001\u7f51\u72b6\u7b49\u3002\u6211\u4eec\u4e00\u822c\u6839\u636e\u903b\u8f91\u7ed3\u6784\u5c06\u6570\u636e\u7ed3\u6784\u5206\u4e3a\u7ebf\u6027\uff08\u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\uff09\u548c\u975e\u7ebf\u6027\uff08\u6811\u3001\u56fe\u3001\u5806\uff09\u4e24\u79cd\u3002\u6839\u636e\u5b9e\u73b0\u65b9\u5f0f\u7684\u4e0d\u540c\uff0c\u54c8\u5e0c\u8868\u53ef\u80fd\u662f\u7ebf\u6027\u6216\u975e\u7ebf\u6027\u3002</li> <li>\u7269\u7406\u7ed3\u6784\u4e3b\u8981\u6709\u4e24\u79cd\uff0c\u5206\u522b\u662f\u8fde\u7eed\u7a7a\u95f4\u5b58\u50a8\uff08\u6570\u7ec4\uff09\u548c\u79bb\u6563\u7a7a\u95f4\u5b58\u50a8\uff08\u94fe\u8868\uff09\uff0c\u6240\u6709\u7684\u6570\u636e\u7ed3\u6784\u90fd\u662f\u7531\u6570\u7ec4\u3001\u6216\u94fe\u8868\u3001\u6216\u4e24\u8005\u7ec4\u5408\u5b9e\u73b0\u7684\u3002</li> </ul>"},{"location":"chapter_graph/graph/","title":"9.1. \u56fe","text":"<p>\u300c\u56fe Graph\u300d\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u7531\u300c\u9876\u70b9 Vertex\u300d\u548c\u300c\u8fb9 Edge\u300d\u7ec4\u6210\u3002\u6211\u4eec\u53ef\u5c06\u56fe \\(G\\) \u62bd\u8c61\u5730\u8868\u793a\u4e3a\u4e00\u7ec4\u9876\u70b9 \\(V\\) \u548c\u4e00\u7ec4\u8fb9 \\(E\\) \u7684\u96c6\u5408\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u8868\u793a\u4e00\u4e2a\u5305\u542b 5 \u4e2a\u9876\u70b9\u548c 7 \u6761\u8fb9\u7684\u56fe</p> \\[ \\begin{aligned} V &amp; = \\{ 1, 2, 3, 4, 5 \\} \\newline E &amp; = \\{ (1,2), (1,3), (1,5), (2,3), (2,4), (2,5), (4,5) \\} \\newline G &amp; = \\{ V, E \\} \\newline \\end{aligned} \\] <p></p> <p>\u90a3\u4e48\uff0c\u56fe\u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\u7684\u5173\u7cfb\u662f\u4ec0\u4e48\uff1f\u5982\u679c\u6211\u4eec\u628a\u300c\u9876\u70b9\u300d\u770b\u4f5c\u7ed3\u70b9\uff0c\u628a\u300c\u8fb9\u300d\u770b\u4f5c\u8fde\u63a5\u5404\u4e2a\u7ed3\u70b9\u7684\u6307\u9488\uff0c\u5219\u53ef\u5c06\u300c\u56fe\u300d\u770b\u6210\u4e00\u79cd\u4ece\u300c\u94fe\u8868\u300d\u62d3\u5c55\u800c\u6765\u7684\u6570\u636e\u7ed3\u6784\u3002\u76f8\u6bd4\u7ebf\u6027\u5173\u7cfb\uff08\u94fe\u8868\uff09\u548c\u5206\u6cbb\u5173\u7cfb\uff08\u6811\uff09\uff0c\u7f51\u7edc\u5173\u7cfb\uff08\u56fe\uff09\u7684\u81ea\u7531\u5ea6\u66f4\u9ad8\uff0c\u4e5f\u4ece\u800c\u66f4\u4e3a\u590d\u6742\u3002</p>"},{"location":"chapter_graph/graph/#911","title":"9.1.1. \u56fe\u5e38\u89c1\u7c7b\u578b","text":"<p>\u6839\u636e\u8fb9\u662f\u5426\u6709\u65b9\u5411\uff0c\u5206\u4e3a\u300c\u65e0\u5411\u56fe Undirected Graph\u300d\u548c\u300c\u6709\u5411\u56fe Directed Graph\u300d\u3002</p> <ul> <li>\u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u8fb9\u8868\u793a\u4e24\u9876\u70b9\u4e4b\u95f4\u201c\u53cc\u5411\u201d\u7684\u8fde\u63a5\u5173\u7cfb\uff0c\u4f8b\u5982\u5fae\u4fe1\u6216 QQ \u4e2d\u7684\u201c\u597d\u53cb\u5173\u7cfb\u201d\uff1b</li> <li>\u5728\u6709\u5411\u56fe\u4e2d\uff0c\u8fb9\u662f\u6709\u65b9\u5411\u7684\uff0c\u5373 \\(A \\rightarrow B\\) \u548c \\(A \\leftarrow B\\) \u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u662f\u76f8\u4e92\u72ec\u7acb\u7684\uff0c\u4f8b\u5982\u5fae\u535a\u6216\u6296\u97f3\u4e0a\u7684\u201c\u5173\u6ce8\u201d\u4e0e\u201c\u88ab\u5173\u6ce8\u201d\u5173\u7cfb\uff1b</li> </ul> <p></p> <p>\u6839\u636e\u6240\u6709\u9876\u70b9\u662f\u5426\u8fde\u901a\uff0c\u5206\u4e3a\u300c\u8fde\u901a\u56fe Connected Graph\u300d\u548c\u300c\u975e\u8fde\u901a\u56fe Disconnected Graph\u300d\u3002</p> <ul> <li>\u5bf9\u4e8e\u8fde\u901a\u56fe\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u53ef\u4ee5\u5230\u8fbe\u5176\u4f59\u4efb\u610f\u9876\u70b9\uff1b</li> <li>\u5bf9\u4e8e\u975e\u8fde\u901a\u56fe\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u81f3\u5c11\u6709\u4e00\u4e2a\u9876\u70b9\u65e0\u6cd5\u5230\u8fbe\uff1b</li> </ul> <p></p> <p>\u6211\u4eec\u53ef\u4ee5\u7ed9\u8fb9\u6dfb\u52a0\u201c\u6743\u91cd\u201d\u53d8\u91cf\uff0c\u5f97\u5230\u300c\u6709\u6743\u56fe Weighted Graph\u300d\u3002\u4f8b\u5982\uff0c\u5728\u738b\u8005\u8363\u8000\u7b49\u6e38\u620f\u4e2d\uff0c\u7cfb\u7edf\u4f1a\u6839\u636e\u5171\u540c\u6e38\u620f\u65f6\u95f4\u6765\u8ba1\u7b97\u73a9\u5bb6\u4e4b\u95f4\u7684\u201c\u4eb2\u5bc6\u5ea6\u201d\uff0c\u8fd9\u79cd\u4eb2\u5bc6\u5ea6\u7f51\u7edc\u5c31\u53ef\u4ee5\u4f7f\u7528\u6709\u6743\u56fe\u6765\u8868\u793a\u3002</p> <p></p>"},{"location":"chapter_graph/graph/#912","title":"9.1.2. \u56fe\u5e38\u7528\u672f\u8bed","text":"<ul> <li>\u300c\u90bb\u63a5 Adjacency\u300d\uff1a\u5f53\u4e24\u9876\u70b9\u4e4b\u95f4\u6709\u8fb9\u76f8\u8fde\u65f6\uff0c\u79f0\u6b64\u4e24\u9876\u70b9\u201c\u90bb\u63a5\u201d\u3002</li> <li>\u300c\u8def\u5f84 Path\u300d\uff1a\u4ece\u9876\u70b9 A \u5230\u9876\u70b9 B \u8d70\u8fc7\u7684\u8fb9\u6784\u6210\u7684\u5e8f\u5217\uff0c\u88ab\u79f0\u4e3a\u4ece A \u5230 B \u7684\u201c\u8def\u5f84\u201d\u3002</li> <li>\u300c\u5ea6 Degree\u300d\u8868\u793a\u4e00\u4e2a\u9876\u70b9\u5177\u6709\u591a\u5c11\u6761\u8fb9\u3002\u5bf9\u4e8e\u6709\u5411\u56fe\uff0c\u300c\u5165\u5ea6 In-Degree\u300d\u8868\u793a\u6709\u591a\u5c11\u6761\u8fb9\u6307\u5411\u8be5\u9876\u70b9\uff0c\u300c\u51fa\u5ea6 Out-Degree\u300d\u8868\u793a\u6709\u591a\u5c11\u6761\u8fb9\u4ece\u8be5\u9876\u70b9\u6307\u51fa\u3002</li> </ul>"},{"location":"chapter_graph/graph/#913","title":"9.1.3. \u56fe\u7684\u8868\u793a","text":"<p>\u56fe\u7684\u5e38\u7528\u8868\u793a\u65b9\u6cd5\u6709\u300c\u90bb\u63a5\u77e9\u9635\u300d\u548c\u300c\u90bb\u63a5\u8868\u300d\u3002\u4ee5\u4e0b\u4f7f\u7528\u300c\u65e0\u5411\u56fe\u300d\u6765\u4e3e\u4f8b\u3002</p>"},{"location":"chapter_graph/graph/#_1","title":"\u90bb\u63a5\u77e9\u9635","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u300c\u90bb\u63a5\u77e9\u9635 Adjacency Matrix\u300d\u4f7f\u7528\u4e00\u4e2a \\(n \\times n\\) \u5927\u5c0f\u7684\u77e9\u9635\u6765\u8868\u793a\u56fe\uff0c\u6bcf\u4e00\u884c\uff08\u5217\uff09\u4ee3\u8868\u4e00\u4e2a\u9876\u70b9\uff0c\u77e9\u9635\u5143\u7d20\u4ee3\u8868\u8fb9\uff0c\u4f7f\u7528 \\(1\\) \u6216 \\(0\\) \u6765\u8868\u793a\u4e24\u4e2a\u9876\u70b9\u4e4b\u95f4\u6709\u8fb9\u6216\u65e0\u8fb9\u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8bb0\u90bb\u63a5\u77e9\u9635\u4e3a \\(M\\) \u3001\u9876\u70b9\u5217\u8868\u4e3a \\(V\\) \uff0c\u5219\u77e9\u9635\u5143\u7d20 \\(M[i][j] = 1\\) \u4ee3\u8868\u7740\u9876\u70b9 \\(V[i]\\) \u5230\u9876\u70b9 \\(V[j]\\) \u4e4b\u95f4\u6709\u8fb9\uff0c\u76f8\u53cd\u5730 \\(M[i][j] = 0\\) \u4ee3\u8868\u4e24\u9876\u70b9\u4e4b\u95f4\u65e0\u8fb9\u3002</p> <p></p> <p>\u90bb\u63a5\u77e9\u9635\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a</p> <ul> <li>\u9876\u70b9\u4e0d\u80fd\u4e0e\u81ea\u8eab\u76f8\u8fde\uff0c\u56e0\u800c\u90bb\u63a5\u77e9\u9635\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u6ca1\u6709\u610f\u4e49\u3002</li> <li>\u300c\u65e0\u5411\u56fe\u300d\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u7b49\u4ef7\uff0c\u6b64\u65f6\u90bb\u63a5\u77e9\u9635\u5173\u4e8e\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\u3002</li> <li>\u5c06\u90bb\u63a5\u77e9\u9635\u7684\u5143\u7d20\u4ece \\(1\\) , \\(0\\) \u66ff\u6362\u4e3a\u6743\u91cd\uff0c\u5219\u80fd\u591f\u8868\u793a\u300c\u6709\u6743\u56fe\u300d\u3002</li> </ul> <p>\u4f7f\u7528\u90bb\u63a5\u77e9\u9635\u8868\u793a\u56fe\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u901a\u8fc7\u8bbf\u95ee\u77e9\u9635\u5143\u7d20\u6765\u83b7\u53d6\u8fb9\uff0c\u56e0\u6b64\u589e\u5220\u67e5\u64cd\u4f5c\u7684\u6548\u7387\u5f88\u9ad8\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3a \\(O(1)\\) \u3002\u7136\u800c\uff0c\u77e9\u9635\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff0c\u5185\u5b58\u5360\u7528\u8f83\u5927\u3002</p>"},{"location":"chapter_graph/graph/#_2","title":"\u90bb\u63a5\u8868","text":"<p>\u300c\u90bb\u63a5\u8868 Adjacency List\u300d\u4f7f\u7528 \\(n\\) \u4e2a\u94fe\u8868\u6765\u8868\u793a\u56fe\uff0c\u94fe\u8868\u7ed3\u70b9\u8868\u793a\u9876\u70b9\u3002\u7b2c \\(i\\) \u6761\u94fe\u8868\u5bf9\u5e94\u9876\u70b9 \\(i\\) \uff0c\u5176\u4e2d\u5b58\u50a8\u4e86\u6240\u6709\u4e0e\u8be5\u9876\u70b9\u76f8\u8fde\u7684\u9876\u70b9\u3002</p> <p></p> <p>\u90bb\u63a5\u8868\u4ec5\u5b58\u50a8\u5b58\u5728\u7684\u8fb9\uff0c\u800c\u8fb9\u7684\u603b\u6570\u5f80\u5f80\u8fdc\u5c0f\u4e8e \\(n^2\\) \uff0c\u56e0\u6b64\u66f4\u52a0\u8282\u7701\u7a7a\u95f4\u3002\u4f46\u662f\uff0c\u56e0\u4e3a\u5728\u90bb\u63a5\u8868\u4e2d\u9700\u8981\u901a\u8fc7\u904d\u5386\u94fe\u8868\u6765\u67e5\u627e\u8fb9\uff0c\u6240\u4ee5\u5176\u65f6\u95f4\u6548\u7387\u4e0d\u5982\u90bb\u63a5\u77e9\u9635\u3002</p> <p>\u89c2\u5bdf\u4e0a\u56fe\u53d1\u73b0\uff0c\u90bb\u63a5\u8868\u7ed3\u6784\u4e0e\u54c8\u5e0c\u8868\u300c\u94fe\u5730\u5740\u6cd5\u300d\u975e\u5e38\u76f8\u4f3c\uff0c\u56e0\u6b64\u6211\u4eec\u4e5f\u53ef\u4ee5\u7528\u7c7b\u4f3c\u65b9\u6cd5\u6765\u4f18\u5316\u6548\u7387\u3002\u6bd4\u5982\uff0c\u5f53\u94fe\u8868\u8f83\u957f\u65f6\uff0c\u53ef\u4ee5\u628a\u94fe\u8868\u8f6c\u5316\u4e3a\u300cAVL \u6811\u300d\uff0c\u4ece\u800c\u5c06\u65f6\u95f4\u6548\u7387\u4ece \\(O(n)\\) \u4f18\u5316\u81f3 \\(O(\\log n)\\) \uff0c\u8fd8\u53ef\u4ee5\u901a\u8fc7\u4e2d\u5e8f\u904d\u5386\u83b7\u53d6\u6709\u5e8f\u5e8f\u5217\uff1b\u8fd8\u53ef\u4ee5\u5c06\u94fe\u8868\u8f6c\u5316\u4e3a HashSet\uff08\u5373\u54c8\u5e0c\u8868\uff09\uff0c\u5c06\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4f4e\u81f3 \\(O(1)\\) \uff0c\u3002</p>"},{"location":"chapter_graph/graph/#914","title":"9.1.4. \u56fe\u5e38\u89c1\u5e94\u7528","text":"<p>\u73b0\u5b9e\u4e2d\u7684\u8bb8\u591a\u7cfb\u7edf\u90fd\u53ef\u4ee5\u4f7f\u7528\u56fe\u6765\u5efa\u6a21\uff0c\u5bf9\u5e94\u7684\u5f85\u6c42\u89e3\u95ee\u9898\u4e5f\u53ef\u4ee5\u88ab\u7ea6\u5316\u4e3a\u56fe\u8ba1\u7b97\u95ee\u9898\u3002</p> \u9876\u70b9 \u8fb9 \u56fe\u8ba1\u7b97\u95ee\u9898 \u793e\u4ea4\u7f51\u7edc \u7528\u6237 \u597d\u53cb\u5173\u7cfb \u6f5c\u5728\u597d\u53cb\u63a8\u8350 \u5730\u94c1\u7ebf\u8def \u7ad9\u70b9 \u7ad9\u70b9\u95f4\u7684\u8fde\u901a\u6027 \u6700\u77ed\u8def\u7ebf\u63a8\u8350 \u592a\u9633\u7cfb \u661f\u4f53 \u661f\u4f53\u95f4\u7684\u4e07\u6709\u5f15\u529b\u4f5c\u7528 \u884c\u661f\u8f68\u9053\u8ba1\u7b97"},{"location":"chapter_graph/graph_operations/","title":"9.2. \u56fe\u57fa\u7840\u64cd\u4f5c","text":"<p>\u56fe\u7684\u57fa\u7840\u64cd\u4f5c\u5206\u4e3a\u5bf9\u300c\u8fb9\u300d\u7684\u64cd\u4f5c\u548c\u5bf9\u300c\u9876\u70b9\u300d\u7684\u64cd\u4f5c\uff0c\u5728\u300c\u90bb\u63a5\u77e9\u9635\u300d\u548c\u300c\u90bb\u63a5\u8868\u300d\u8fd9\u4e24\u79cd\u8868\u793a\u4e0b\u7684\u5b9e\u73b0\u65b9\u5f0f\u4e0d\u540c\u3002</p>"},{"location":"chapter_graph/graph_operations/#921","title":"9.2.1. \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u7684\u5b9e\u73b0","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u6709\uff1a</p> <ul> <li>\u6dfb\u52a0\u6216\u5220\u9664\u8fb9\uff1a\u76f4\u63a5\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u4fee\u6539\u6307\u5b9a\u8fb9\u7684\u5bf9\u5e94\u5143\u7d20\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002\u800c\u7531\u4e8e\u662f\u65e0\u5411\u56fe\uff0c\u56e0\u6b64\u9700\u8981\u540c\u65f6\u66f4\u65b0\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u6dfb\u52a0\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u77e9\u9635\u7684\u5c3e\u90e8\u6dfb\u52a0\u4e00\u884c\u4e00\u5217\uff0c\u5e76\u5168\u90e8\u586b \\(0\\) \u5373\u53ef\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\u3002</li> <li>\u5220\u9664\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u4e00\u884c\u4e00\u5217\u3002\u5f53\u5220\u9664\u9996\u884c\u9996\u5217\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u9700\u8981\u5c06 \\((n-1)^2\\) \u4e2a\u5143\u7d20\u201c\u5411\u5de6\u4e0a\u79fb\u52a8\u201d\uff0c\u4ece\u800c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</li> <li>\u521d\u59cb\u5316\uff1a\u4f20\u5165 \\(n\\) \u4e2a\u9876\u70b9\uff0c\u521d\u59cb\u5316\u957f\u5ea6\u4e3a \\(n\\) \u7684\u9876\u70b9\u5217\u8868 <code>vertices</code> \uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b\u521d\u59cb\u5316 \\(n \\times n\\) \u5927\u5c0f\u7684\u90bb\u63a5\u77e9\u9635 <code>adjMat</code> \uff0c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</li> </ul> \u521d\u59cb\u5316\u90bb\u63a5\u77e9\u9635\u6dfb\u52a0\u8fb9\u5220\u9664\u8fb9\u6dfb\u52a0\u9876\u70b9\u5220\u9664\u9876\u70b9 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u8868\u793a\u56fe\u7684\u5b9e\u73b0\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_adjacency_matrix.java<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nList&lt;Integer&gt; vertices;     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nList&lt;List&lt;Integer&gt;&gt; adjMat; // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u65b9\u6cd5 */\npublic GraphAdjMat(int[] vertices, int[][] edges) {\nthis.vertices = new ArrayList&lt;&gt;();\nthis.adjMat = new ArrayList&lt;&gt;();\n// \u6dfb\u52a0\u9876\u70b9\nfor (int val : vertices) {\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (int[] e : edges) {\naddEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size() {\nreturn vertices.size();\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(int val) {\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.add(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nList&lt;Integer&gt; newRow = new ArrayList&lt;&gt;(n);\nfor (int j = 0; j &lt; n; j++) {\nnewRow.add(0);\n}\nadjMat.add(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (List&lt;Integer&gt; row : adjMat) {\nrow.add(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(int index) {\nif (index &gt;= size())\nthrow new IndexOutOfBoundsException();\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.remove(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.remove(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (List&lt;Integer&gt; row : adjMat) {\nrow.remove(index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void addEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfBoundsException();\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat.get(i).set(j, 1);\nadjMat.get(j).set(i, 1);\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void removeEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfBoundsException();\nadjMat.get(i).set(j, 0);\nadjMat.get(j).set(i, 0);\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\npublic void print() {\nSystem.out.print(\"\u9876\u70b9\u5217\u8868 = \");\nSystem.out.println(vertices);\nSystem.out.println(\"\u90bb\u63a5\u77e9\u9635 =\");\nPrintUtil.printMatrix(adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.cpp<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvector&lt;int&gt; vertices;        // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nvector&lt;vector&lt;int&gt;&gt; adjMat;  // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nGraphAdjMat(const vector&lt;int&gt;&amp; vertices, const vector&lt;vector&lt;int&gt;&gt;&amp; edges) {\n// \u6dfb\u52a0\u9876\u70b9\nfor (int val : vertices) {\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const vector&lt;int&gt;&amp; edge : edges) {\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nint size() const {\nreturn vertices.size();\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nvoid addVertex(int val) {\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.push_back(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nadjMat.emplace_back(n, 0);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (vector&lt;int&gt;&amp; row : adjMat) {\nrow.push_back(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nvoid removeVertex(int index) {\nif (index &gt;= size()) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.erase(vertices.begin() + index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.erase(adjMat.begin() + index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (vector&lt;int&gt;&amp; row : adjMat) {\nrow.erase(row.begin() + index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nvoid addEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1;\nadjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nvoid removeEdge(int i, int j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j) {\nthrow out_of_range(\"\u9876\u70b9\u4e0d\u5b58\u5728\");\n}\nadjMat[i][j] = 0;\nadjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nvoid print() {\ncout &lt;&lt; \"\u9876\u70b9\u5217\u8868 = \";\nPrintUtil::printVector(vertices);\ncout &lt;&lt; \"\u90bb\u63a5\u77e9\u9635 =\" &lt;&lt; endl;\nPrintUtil::printVectorMatrix(adjMat);\n}\n};\n</code></pre> graph_adjacency_matrix.py<pre><code>[class]{GraphAdjMat}-[func]{}\n</code></pre> graph_adjacency_matrix.go<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\ntype graphAdjMat struct {\n// \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nvertices []int\n// \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat [][]int\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newGraphAdjMat(vertices []int, edges [][]int) *graphAdjMat {\n// \u6dfb\u52a0\u9876\u70b9\nn := len(vertices)\nadjMat := make([][]int, n)\nfor i := range adjMat {\nadjMat[i] = make([]int, n)\n}\n// \u521d\u59cb\u5316\u56fe\ng := &amp;graphAdjMat{\nvertices: vertices,\nadjMat:   adjMat,\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor i := range edges {\ng.addEdge(edges[i][0], edges[i][1])\n}\nreturn g\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc (g *graphAdjMat) size() int {\nreturn len(g.vertices)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc (g *graphAdjMat) addVertex(val int) {\nn := g.size()\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\ng.vertices = append(g.vertices, val)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nnewRow := make([]int, n)\ng.adjMat = append(g.adjMat, newRow)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor i := range g.adjMat {\ng.adjMat[i] = append(g.adjMat[i], 0)\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc (g *graphAdjMat) removeVertex(index int) {\nif index &gt;= g.size() {\nreturn\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\ng.vertices = append(g.vertices[:index], g.vertices[index+1:]...)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\ng.adjMat = append(g.adjMat[:index], g.adjMat[index+1:]...)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor i := range g.adjMat {\ng.adjMat[i] = append(g.adjMat[i][:index], g.adjMat[i][index+1:]...)\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc (g *graphAdjMat) addEdge(i, j int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= g.size() || j &gt;= g.size() || i == j {\nfmt.Errorf(\"%s\", \"Index Out Of Bounds Exception\")\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\ng.adjMat[i][j] = 1\ng.adjMat[j][i] = 1\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc (g *graphAdjMat) removeEdge(i, j int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= g.size() || j &gt;= g.size() || i == j {\nfmt.Errorf(\"%s\", \"Index Out Of Bounds Exception\")\n}\ng.adjMat[i][j] = 0\ng.adjMat[j][i] = 0\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nfunc (g *graphAdjMat) print() {\nfmt.Printf(\"\\t\u9876\u70b9\u5217\u8868 = %v\\n\", g.vertices)\nfmt.Printf(\"\\t\u90bb\u63a5\u77e9\u9635 = \\n\")\nfor i := range g.adjMat {\nfmt.Printf(\"\\t\\t\\t%v\\n\", g.adjMat[i])\n}\n}\n</code></pre> graph_adjacency_matrix.js<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvertices;   // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat;     // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\nconstructor(vertices, edges) {\nthis.vertices = [];\nthis.adjMat = [];\n// \u6dfb\u52a0\u9876\u70b9\nfor (const val of vertices) {\nthis.addVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const e of edges) {\nthis.addEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize() {\nreturn this.vertices.length;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(val) {\nconst n = this.size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nthis.vertices.push(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nconst newRow = [];\nfor (let j = 0; j &lt; n; j++) {\nnewRow.push(0);\n}\nthis.adjMat.push(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (const row of this.adjMat) {\nrow.push(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(index) {\nif (index &gt;= this.size()) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nthis.vertices.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nthis.adjMat.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (const row of this.adjMat) {\nrow.splice(index, 1);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\naddEdge(i, j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nthis.adjMat[i][j] = 1;\nthis.adjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nremoveEdge(i, j) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\nthis.adjMat[i][j] = 0;\nthis.adjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nprint() {\nconsole.log(\"\u9876\u70b9\u5217\u8868 = \", this.vertices);\nconsole.log(\"\u90bb\u63a5\u77e9\u9635 =\", this.adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.ts<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nvertices: number[];     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nadjMat: number[][];     // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\nconstructor(vertices: number[], edges: number[][]) {\nthis.vertices = [];\nthis.adjMat = [];\n// \u6dfb\u52a0\u9876\u70b9\nfor (const val of vertices) {\nthis.addVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor (const e of edges) {\nthis.addEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize(): number {\nreturn this.vertices.length;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(val: number): void {\nconst n: number = this.size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nthis.vertices.push(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nconst newRow: number[] = [];\nfor (let j: number = 0; j &lt; n; j++) {\nnewRow.push(0);\n}\nthis.adjMat.push(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor (const row of this.adjMat) {\nrow.push(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(index: number): void {\nif (index &gt;= this.size()) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nthis.vertices.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nthis.adjMat.splice(index, 1);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor (const row of this.adjMat) {\nrow.splice(index, 1);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\naddEdge(i: number, j: number): void {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nthis.adjMat[i][j] = 1;\nthis.adjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nremoveEdge(i: number, j: number): void {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= this.size() || j &gt;= this.size() || i === j) {\nthrow new RangeError(\"Index Out Of Bounds Exception\");\n}\nthis.adjMat[i][j] = 0;\nthis.adjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nprint(): void {\nconsole.log(\"\u9876\u70b9\u5217\u8868 = \", this.vertices);\nconsole.log(\"\u90bb\u63a5\u77e9\u9635 =\", this.adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.c<pre><code>[class]{graphAdjMat}-[func]{}\n</code></pre> graph_adjacency_matrix.cs<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat\n{\nList&lt;int&gt; vertices;     // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nList&lt;List&lt;int&gt;&gt; adjMat; // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u51fd\u6570 */\npublic GraphAdjMat(int[] vertices, int[][] edges)\n{\nthis.vertices = new List&lt;int&gt;();\nthis.adjMat = new List&lt;List&lt;int&gt;&gt;();\n// \u6dfb\u52a0\u9876\u70b9\nforeach (int val in vertices)\n{\naddVertex(val);\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nforeach (int[] e in edges)\n{\naddEdge(e[0], e[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size()\n{\nreturn vertices.Count;\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(int val)\n{\nint n = size();\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.Add(val);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nList&lt;int&gt; newRow = new List&lt;int&gt;(n);\nfor (int j = 0; j &lt; n; j++)\n{\nnewRow.Add(0);\n}\nadjMat.Add(newRow);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nforeach (List&lt;int&gt; row in adjMat)\n{\nrow.Add(0);\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(int index)\n{\nif (index &gt;= size())\nthrow new IndexOutOfRangeException();\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.RemoveAt(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.RemoveAt(index);\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nforeach (List&lt;int&gt; row in adjMat)\n{\nrow.RemoveAt(index);\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void addEdge(int i, int j)\n{\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfRangeException();\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1;\nadjMat[j][i] = 1;\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\npublic void removeEdge(int i, int j)\n{\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif (i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j)\nthrow new IndexOutOfRangeException();\nadjMat[i][j] = 0;\nadjMat[j][i] = 0;\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\npublic void print()\n{\nConsole.Write(\"\u9876\u70b9\u5217\u8868 = \");\nPrintUtil.PrintList(vertices);\nConsole.WriteLine(\"\u90bb\u63a5\u77e9\u9635 =\");\nPrintUtil.printMatrix(adjMat);\n}\n}\n</code></pre> graph_adjacency_matrix.swift<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u77e9\u9635\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjMat {\nprivate var vertices: [Int] // \u9876\u70b9\u5217\u8868\uff0c\u5143\u7d20\u4ee3\u8868\u201c\u9876\u70b9\u503c\u201d\uff0c\u7d22\u5f15\u4ee3\u8868\u201c\u9876\u70b9\u7d22\u5f15\u201d\nprivate var adjMat: [[Int]] // \u90bb\u63a5\u77e9\u9635\uff0c\u884c\u5217\u7d22\u5f15\u5bf9\u5e94\u201c\u9876\u70b9\u7d22\u5f15\u201d\n/* \u6784\u9020\u65b9\u6cd5 */\ninit(vertices: [Int], edges: [[Int]]) {\nself.vertices = []\nadjMat = []\n// \u6dfb\u52a0\u9876\u70b9\nfor val in vertices {\naddVertex(val: val)\n}\n// \u6dfb\u52a0\u8fb9\n// \u8bf7\u6ce8\u610f\uff0cedges \u5143\u7d20\u4ee3\u8868\u9876\u70b9\u7d22\u5f15\uff0c\u5373\u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfor e in edges {\naddEdge(i: e[0], j: e[1])\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc size() -&gt; Int {\nvertices.count\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc addVertex(val: Int) {\nlet n = size()\n// \u5411\u9876\u70b9\u5217\u8868\u4e2d\u6dfb\u52a0\u65b0\u9876\u70b9\u7684\u503c\nvertices.append(val)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u884c\nlet newRow = Array(repeating: 0, count: n)\nadjMat.append(newRow)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u6dfb\u52a0\u4e00\u5217\nfor i in adjMat.indices {\nadjMat[i].append(0)\n}\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc removeVertex(index: Int) {\nif index &gt;= size() {\nfatalError(\"\u8d8a\u754c\")\n}\n// \u5728\u9876\u70b9\u5217\u8868\u4e2d\u79fb\u9664\u7d22\u5f15 index \u7684\u9876\u70b9\nvertices.remove(at: index)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u884c\nadjMat.remove(at: index)\n// \u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u5220\u9664\u7d22\u5f15 index \u7684\u5217\nfor i in adjMat.indices {\nadjMat[i].remove(at: index)\n}\n}\n/* \u6dfb\u52a0\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc addEdge(i: Int, j: Int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j {\nfatalError(\"\u8d8a\u754c\")\n}\n// \u5728\u65e0\u5411\u56fe\u4e2d\uff0c\u90bb\u63a5\u77e9\u9635\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\uff0c\u5373\u6ee1\u8db3 (i, j) == (j, i)\nadjMat[i][j] = 1\nadjMat[j][i] = 1\n}\n/* \u5220\u9664\u8fb9 */\n// \u53c2\u6570 i, j \u5bf9\u5e94 vertices \u5143\u7d20\u7d22\u5f15\nfunc removeEdge(i: Int, j: Int) {\n// \u7d22\u5f15\u8d8a\u754c\u4e0e\u76f8\u7b49\u5904\u7406\nif i &lt; 0 || j &lt; 0 || i &gt;= size() || j &gt;= size() || i == j {\nfatalError(\"\u8d8a\u754c\")\n}\nadjMat[i][j] = 0\nadjMat[j][i] = 0\n}\n/* \u6253\u5370\u90bb\u63a5\u77e9\u9635 */\nfunc print() {\nSwift.print(\"\u9876\u70b9\u5217\u8868 = \", terminator: \"\")\nSwift.print(vertices)\nSwift.print(\"\u90bb\u63a5\u77e9\u9635 =\")\nPrintUtil.printMatrix(matrix: adjMat)\n}\n}\n</code></pre> graph_adjacency_matrix.zig<pre><code>\n</code></pre>"},{"location":"chapter_graph/graph_operations/#922","title":"9.2.2. \u57fa\u4e8e\u90bb\u63a5\u8868\u7684\u5b9e\u73b0","text":"<p>\u8bbe\u56fe\u7684\u9876\u70b9\u603b\u6570\u4e3a \\(n\\) \u3001\u8fb9\u603b\u6570\u4e3a \\(m\\) \uff0c\u5219\u6709\uff1a</p> <ul> <li>\u6dfb\u52a0\u8fb9\uff1a\u5728\u9876\u70b9\u5bf9\u5e94\u94fe\u8868\u7684\u5c3e\u90e8\u6dfb\u52a0\u8fb9\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002\u56e0\u4e3a\u662f\u65e0\u5411\u56fe\uff0c\u6240\u4ee5\u9700\u8981\u540c\u65f6\u6dfb\u52a0\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u5220\u9664\u8fb9\uff1a\u5728\u9876\u70b9\u5bf9\u5e94\u94fe\u8868\u4e2d\u67e5\u8be2\u4e0e\u5220\u9664\u6307\u5b9a\u8fb9\uff0c\u4f7f\u7528 \\(O(m)\\) \u65f6\u95f4\u3002\u4e0e\u6dfb\u52a0\u8fb9\u4e00\u6837\uff0c\u9700\u8981\u540c\u65f6\u5220\u9664\u4e24\u4e2a\u65b9\u5411\u7684\u8fb9\u3002</li> <li>\u6dfb\u52a0\u9876\u70b9\uff1a\u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u94fe\u8868\u5373\u53ef\uff0c\u5e76\u4ee5\u65b0\u589e\u9876\u70b9\u4e3a\u94fe\u8868\u5934\u7ed3\u70b9\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002</li> <li>\u5220\u9664\u9876\u70b9\uff1a\u9700\u8981\u904d\u5386\u6574\u4e2a\u90bb\u63a5\u8868\uff0c\u5220\u9664\u5305\u542b\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u8fb9\uff0c\u4f7f\u7528 \\(O(n + m)\\) \u65f6\u95f4\u3002</li> <li>\u521d\u59cb\u5316\uff1a\u9700\u8981\u5728\u90bb\u63a5\u8868\u4e2d\u5efa\u7acb \\(n\\) \u4e2a\u7ed3\u70b9\u548c \\(2m\\) \u6761\u8fb9\uff0c\u4f7f\u7528 \\(O(n + m)\\) \u65f6\u95f4\u3002</li> </ul> \u521d\u59cb\u5316\u90bb\u63a5\u8868\u6dfb\u52a0\u8fb9\u5220\u9664\u8fb9\u6dfb\u52a0\u9876\u70b9\u5220\u9664\u9876\u70b9 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u56fe\u7684\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u6ce8\u610f\u5230\uff0c\u6211\u4eec\u5728\u90bb\u63a5\u8868\u4e2d\u4f7f\u7528 <code>Vertex</code> \u7ed3\u70b9\u7c7b\u6765\u8868\u793a\u9876\u70b9\uff0c\u8fd9\u6837\u505a\u7684\u539f\u56e0\u662f\uff1a</p> <ul> <li>\u5982\u679c\u6211\u4eec\u9009\u62e9\u901a\u8fc7\u9876\u70b9\u503c\u6765\u533a\u5206\u4e0d\u540c\u9876\u70b9\uff0c\u90a3\u4e48\u503c\u91cd\u590d\u7684\u9876\u70b9\u5c06\u65e0\u6cd5\u88ab\u533a\u5206\u3002</li> <li>\u5982\u679c\u7c7b\u4f3c\u90bb\u63a5\u77e9\u9635\u90a3\u6837\uff0c\u4f7f\u7528\u9876\u70b9\u5217\u8868\u7d22\u5f15\u6765\u533a\u5206\u4e0d\u540c\u9876\u70b9\u3002\u90a3\u4e48\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5220\u9664\u7d22\u5f15\u4e3a \\(i\\) \u7684\u9876\u70b9\uff0c\u5219\u9700\u8981\u904d\u5386\u6574\u4e2a\u90bb\u63a5\u8868\uff0c\u5c06\u5176\u4e2d \\(&gt; i\\) \u7684\u7d22\u5f15\u5168\u90e8\u6267\u884c \\(-1\\) \uff0c\u8fd9\u6837\u64cd\u4f5c\u6548\u7387\u592a\u4f4e\u3002</li> <li>\u56e0\u6b64\u6211\u4eec\u8003\u8651\u5f15\u5165\u9876\u70b9\u7c7b <code>Vertex</code> \uff0c\u4f7f\u5f97\u6bcf\u4e2a\u9876\u70b9\u90fd\u662f\u552f\u4e00\u7684\u5bf9\u8c61\uff0c\u6b64\u65f6\u5220\u9664\u9876\u70b9\u65f6\u5c31\u65e0\u9700\u6539\u52a8\u5176\u4f59\u9876\u70b9\u4e86\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_adjacency_list.java<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0ckey: \u9876\u70b9\uff0cvalue\uff1a\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u7ed3\u70b9\nMap&lt;Vertex, List&lt;Vertex&gt;&gt; adjList;\n/* \u6784\u9020\u65b9\u6cd5 */\npublic GraphAdjList(Vertex[][] edges) {\nthis.adjList = new HashMap&lt;&gt;();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (Vertex[] edge : edges) {\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size() {\nreturn adjList.size();\n}\n/* \u6dfb\u52a0\u8fb9 */\npublic void addEdge(Vertex vet1, Vertex vet2) {\nif (!adjList.containsKey(vet1) || !adjList.containsKey(vet2) || vet1 == vet2)\nthrow new IllegalArgumentException();\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList.get(vet1).add(vet2);\nadjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\npublic void removeEdge(Vertex vet1, Vertex vet2) {\nif (!adjList.containsKey(vet1) || !adjList.containsKey(vet2) || vet1 == vet2)\nthrow new IllegalArgumentException();\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList.get(vet1).remove(vet2);\nadjList.get(vet2).remove(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(Vertex vet) {\nif (adjList.containsKey(vet))\nreturn;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList.put(vet, new ArrayList&lt;&gt;());\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(Vertex vet) {\nif (!adjList.containsKey(vet))\nthrow new IllegalArgumentException();\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.remove(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (List&lt;Vertex&gt; list : adjList.values()) {\nlist.remove(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\npublic void print() {\nSystem.out.println(\"\u90bb\u63a5\u8868 =\");\nfor (Map.Entry&lt;Vertex, List&lt;Vertex&gt;&gt; entry : adjList.entrySet()) {\nList&lt;Integer&gt; tmp = new ArrayList&lt;&gt;();\nfor (Vertex vertex : entry.getValue())\ntmp.add(vertex.val);\nSystem.out.println(entry.getKey().val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.cpp<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nunordered_map&lt;Vertex*, unordered_set&lt;Vertex*&gt;&gt; adjList;\npublic:\n/* \u6784\u9020\u65b9\u6cd5 */\nGraphAdjList(const vector&lt;vector&lt;Vertex*&gt;&gt;&amp; edges) {\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const vector&lt;Vertex*&gt;&amp; edge : edges) {\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nint size() { return adjList.size(); }\n/* \u6dfb\u52a0\u8fb9 */\nvoid addEdge(Vertex* vet1, Vertex* vet2) {\nif (!adjList.count(vet1) || !adjList.count(vet2) || vet1 == vet2)\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1].insert(vet2);\nadjList[vet2].insert(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nvoid removeEdge(Vertex* vet1, Vertex* vet2) {\nif (!adjList.count(vet1) || !adjList.count(vet2) || vet1 == vet2)\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1].erase(vet2);\nadjList[vet2].erase(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nvoid addVertex(Vertex* vet) {\nif (adjList.count(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList[vet] = unordered_set&lt;Vertex*&gt;();\n}\n/* \u5220\u9664\u9876\u70b9 */\nvoid removeVertex(Vertex* vet) {\nif (!adjList.count(vet))\nthrow invalid_argument(\"\u4e0d\u5b58\u5728\u9876\u70b9\");\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.erase(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (auto&amp; [key, set_] : adjList) {\nset_.erase(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nvoid print() {\ncout &lt;&lt; \"\u90bb\u63a5\u8868 =\" &lt;&lt; endl;\nfor (auto&amp; [key, value] : adjList) {\nvector&lt;int&gt; tmp;\nfor (Vertex* vertex : value)\ntmp.push_back(vertex-&gt;val);\ncout &lt;&lt; key-&gt;val &lt;&lt; \": \";\nPrintUtil::printVector(tmp);\n}\n}\n};\n</code></pre> graph_adjacency_list.py<pre><code>[class]{GraphAdjList}-[func]{}\n</code></pre> graph_adjacency_list.go<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\ntype graphAdjList struct {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList map[vertex]map[vertex]struct{}\n}\n/* \u6784\u9020\u65b9\u6cd5 */\nfunc newGraphAdjList(edges [][]vertex) *graphAdjList {\ng := &amp;graphAdjList{\nadjList: make(map[vertex]map[vertex]struct{}),\n}\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor _, edge := range edges {\ng.addVertex(edge[0])\ng.addVertex(edge[1])\ng.addEdge(edge[0], edge[1])\n}\nreturn g\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc (g *graphAdjList) size() int {\nreturn len(g.adjList)\n}\n/* \u6dfb\u52a0\u8fb9 */\nfunc (g *graphAdjList) addEdge(vet1 vertex, vet2 vertex) {\n_, ok1 := g.adjList[vet1]\n_, ok2 := g.adjList[vet2]\nif !ok1 || !ok2 || vet1 == vet2 {\npanic(\"error\")\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2, \u6dfb\u52a0\u533f\u540d struct{},\ng.adjList[vet1][vet2] = struct{}{}\ng.adjList[vet2][vet1] = struct{}{}\n}\n/* \u5220\u9664\u8fb9 */\nfunc (g *graphAdjList) removeEdge(vet1 vertex, vet2 vertex) {\n_, ok1 := g.adjList[vet1]\n_, ok2 := g.adjList[vet2]\nif !ok1 || !ok2 || vet1 == vet2 {\npanic(\"error\")\n}\n// \u5220\u9664\u8fb9 vet1 - vet2, \u501f\u52a9 delete \u6765\u5220\u9664 map \u4e2d\u7684\u952e\ndelete(g.adjList[vet1], vet2)\ndelete(g.adjList[vet2], vet1)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc (g *graphAdjList) addVertex(vet vertex) {\n_, ok := g.adjList[vet]\nif ok {\nreturn\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\ng.adjList[vet] = make(map[vertex]struct{})\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc (g *graphAdjList) removeVertex(vet vertex) {\n_, ok := g.adjList[vet]\nif !ok {\npanic(\"error\")\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\ndelete(g.adjList, vet)\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor _, set := range g.adjList {\n// \u64cd\u4f5c\ndelete(set, vet)\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nfunc (g *graphAdjList) print() {\nvar builder strings.Builder\nfmt.Printf(\"\u90bb\u63a5\u8868 = \\n\")\nfor k, v := range g.adjList {\nbuilder.WriteString(\"\\t\\t\" + strconv.Itoa(k.val) + \": \")\nfor vet := range v {\nbuilder.WriteString(strconv.Itoa(vet.val) + \" \")\n}\nfmt.Println(builder.String())\nbuilder.Reset()\n}\n}\n</code></pre> graph_adjacency_list.js<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList;\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor(edges) {\nthis.adjList = new Map();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const edge of edges) {\nthis.addVertex(edge[0]);\nthis.addVertex(edge[1]);\nthis.addEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize() {\nreturn this.adjList.size;\n}\n/* \u6dfb\u52a0\u8fb9 */\naddEdge(vet1, vet2) {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).add(vet2);\nthis.adjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nremoveEdge(vet1, vet2) {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).delete(vet2);\nthis.adjList.get(vet2).delete(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(vet) {\nif (this.adjList.has(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nthis.adjList.set(vet, new Set());\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(vet) {\nif (!this.adjList.has(vet)) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nthis.adjList.delete(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (let set of this.adjList.values()) {\nset.delete(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nprint() {\nconsole.log(\"\u90bb\u63a5\u8868 =\");\nfor (const [key, value] of this.adjList) {\nconst tmp = [];\nfor (const vertex of value){\ntmp.push(vertex.val);\n}\nconsole.log(key.val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.ts<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nadjList: Map&lt;Vertex, Set&lt;Vertex&gt;&gt;;\n/* \u6784\u9020\u65b9\u6cd5 */\nconstructor(edges: Vertex[][]) {\nthis.adjList = new Map();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor (const edge of edges) {\nthis.addVertex(edge[0]);\nthis.addVertex(edge[1]);\nthis.addEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nsize(): number {\nreturn this.adjList.size;\n}\n/* \u6dfb\u52a0\u8fb9 */\naddEdge(vet1: Vertex, vet2: Vertex): void {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).add(vet2);\nthis.adjList.get(vet2).add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\nremoveEdge(vet1: Vertex, vet2: Vertex): void {\nif (!this.adjList.has(vet1) || !this.adjList.has(vet2) || vet1 === vet2) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nthis.adjList.get(vet1).delete(vet2);\nthis.adjList.get(vet2).delete(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\naddVertex(vet: Vertex): void {\nif (this.adjList.has(vet)) return;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nthis.adjList.set(vet, new Set());\n}\n/* \u5220\u9664\u9876\u70b9 */\nremoveVertex(vet: Vertex): void {\nif (!this.adjList.has(vet)) {\nthrow new Error(\"Illegal Argument Exception\");\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nthis.adjList.delete(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor (let set of this.adjList.values()) {\nset.delete(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nprint(): void {\nconsole.log(\"\u90bb\u63a5\u8868 =\");\nfor (const [key, value] of this.adjList.entries()) {\nconst tmp = [];\nfor (const vertex of value){\ntmp.push(vertex.val);\n}\nconsole.log(key.val + \": \" + tmp + \",\");\n}\n}\n}\n</code></pre> graph_adjacency_list.c<pre><code>[class]{graphAdjList}-[func]{}\n</code></pre> graph_adjacency_list.cs<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList\n{\n// \u90bb\u63a5\u8868\uff0ckey: \u9876\u70b9\uff0cvalue\uff1a\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u7ed3\u70b9\nDictionary&lt;Vertex, List&lt;Vertex&gt;&gt; adjList;\n/* \u6784\u9020\u51fd\u6570 */\npublic GraphAdjList(Vertex[][] edges)\n{\nthis.adjList = new Dictionary&lt;Vertex, List&lt;Vertex&gt;&gt;();\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nforeach (Vertex[] edge in edges)\n{\naddVertex(edge[0]);\naddVertex(edge[1]);\naddEdge(edge[0], edge[1]);\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\npublic int size()\n{\nreturn adjList.Count;\n}\n/* \u6dfb\u52a0\u8fb9 */\npublic void addEdge(Vertex vet1, Vertex vet2)\n{\nif (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)\nthrow new InvalidOperationException();\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1].Add(vet2);\nadjList[vet2].Add(vet1);\n}\n/* \u5220\u9664\u8fb9 */\npublic void removeEdge(Vertex vet1, Vertex vet2)\n{\nif (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)\nthrow new InvalidOperationException();\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1].Remove(vet2);\nadjList[vet2].Remove(vet1);\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\npublic void addVertex(Vertex vet)\n{\nif (adjList.ContainsKey(vet))\nreturn;\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList.Add(vet, new List&lt;Vertex&gt;());\n}\n/* \u5220\u9664\u9876\u70b9 */\npublic void removeVertex(Vertex vet)\n{\nif (!adjList.ContainsKey(vet))\nthrow new InvalidOperationException();\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.Remove(vet);\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nforeach (List&lt;Vertex&gt; list in adjList.Values)\n{\nlist.Remove(vet);\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\npublic void print()\n{\nConsole.WriteLine(\"\u90bb\u63a5\u8868 =\");\nforeach (KeyValuePair&lt;Vertex, List&lt;Vertex&gt;&gt; entry in adjList)\n{\nList&lt;int&gt; tmp = new List&lt;int&gt;();\nforeach (Vertex vertex in entry.Value)\ntmp.Add(vertex.Val);\nConsole.WriteLine(entry.Key.Val + \": [\" + string.Join(\", \", tmp) + \"],\");\n}\n}\n}\n</code></pre> graph_adjacency_list.swift<pre><code>/* \u57fa\u4e8e\u90bb\u63a5\u8868\u5b9e\u73b0\u7684\u65e0\u5411\u56fe\u7c7b */\nclass GraphAdjList {\n// \u90bb\u63a5\u8868\uff0c\u4f7f\u7528\u54c8\u5e0c\u8868\u6765\u4ee3\u66ff\u94fe\u8868\uff0c\u4ee5\u63d0\u5347\u5220\u9664\u8fb9\u3001\u5220\u9664\u9876\u70b9\u7684\u6548\u7387\n// \u8bf7\u6ce8\u610f\uff0cadjList \u4e2d\u7684\u5143\u7d20\u662f Vertex \u5bf9\u8c61\nprivate var adjList: [Vertex: Set&lt;Vertex&gt;]\n/* \u6784\u9020\u65b9\u6cd5 */\ninit(edges: [[Vertex]]) {\nadjList = [:]\n// \u6dfb\u52a0\u6240\u6709\u9876\u70b9\u548c\u8fb9\nfor edge in edges {\naddVertex(vet: edge[0])\naddVertex(vet: edge[1])\naddEdge(vet1: edge[0], vet2: edge[1])\n}\n}\n/* \u83b7\u53d6\u9876\u70b9\u6570\u91cf */\nfunc size() -&gt; Int {\nadjList.count\n}\n/* \u6dfb\u52a0\u8fb9 */\nfunc addEdge(vet1: Vertex, vet2: Vertex) {\nif adjList[vet1] == nil || adjList[vet2] == nil || vet1 == vet2 {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u6dfb\u52a0\u8fb9 vet1 - vet2\nadjList[vet1]?.insert(vet2)\nadjList[vet2]?.insert(vet1)\n}\n/* \u5220\u9664\u8fb9 */\nfunc removeEdge(vet1: Vertex, vet2: Vertex) {\nif adjList[vet1] == nil || adjList[vet2] == nil || vet1 == vet2 {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u5220\u9664\u8fb9 vet1 - vet2\nadjList[vet1]?.remove(vet2)\nadjList[vet2]?.remove(vet1)\n}\n/* \u6dfb\u52a0\u9876\u70b9 */\nfunc addVertex(vet: Vertex) {\nif adjList[vet] != nil {\nreturn\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u65b0\u94fe\u8868\nadjList[vet] = []\n}\n/* \u5220\u9664\u9876\u70b9 */\nfunc removeVertex(vet: Vertex) {\nif adjList[vet] == nil {\nfatalError(\"\u53c2\u6570\u9519\u8bef\")\n}\n// \u5728\u90bb\u63a5\u8868\u4e2d\u5220\u9664\u9876\u70b9 vet \u5bf9\u5e94\u7684\u94fe\u8868\nadjList.removeValue(forKey: vet)\n// \u904d\u5386\u5176\u5b83\u9876\u70b9\u7684\u94fe\u8868\uff0c\u5220\u9664\u6240\u6709\u5305\u542b vet \u7684\u8fb9\nfor key in adjList.keys {\nadjList[key]?.remove(vet)\n}\n}\n/* \u6253\u5370\u90bb\u63a5\u8868 */\nfunc print() {\nSwift.print(\"\u90bb\u63a5\u8868 =\")\nfor entry in adjList {\nvar tmp: [Int] = []\nfor vertex in entry.value {\ntmp.append(vertex.val)\n}\nSwift.print(\"\\(entry.key.val): \\(tmp),\")\n}\n}\n}\n</code></pre> graph_adjacency_list.zig<pre><code>[class]{GraphAdjList}-[func]{}\n</code></pre>"},{"location":"chapter_graph/graph_operations/#923","title":"9.2.3. \u6548\u7387\u5bf9\u6bd4","text":"<p>\u8bbe\u56fe\u4e2d\u5171\u6709 \\(n\\) \u4e2a\u9876\u70b9\u548c \\(m\\) \u6761\u8fb9\uff0c\u4e0b\u8868\u4e3a\u90bb\u63a5\u77e9\u9635\u548c\u90bb\u63a5\u8868\u7684\u65f6\u95f4\u548c\u7a7a\u95f4\u6548\u7387\u5bf9\u6bd4\u3002</p> \u90bb\u63a5\u77e9\u9635 \u90bb\u63a5\u8868\uff08\u94fe\u8868\uff09 \u90bb\u63a5\u8868\uff08\u54c8\u5e0c\u8868\uff09 \u5224\u65ad\u662f\u5426\u90bb\u63a5 \\(O(1)\\) \\(O(m)\\) \\(O(1)\\) \u6dfb\u52a0\u8fb9 \\(O(1)\\) \\(O(1)\\) \\(O(1)\\) \u5220\u9664\u8fb9 \\(O(1)\\) \\(O(m)\\) \\(O(1)\\) \u6dfb\u52a0\u9876\u70b9 \\(O(n)\\) \\(O(1)\\) \\(O(1)\\) \u5220\u9664\u9876\u70b9 \\(O(n^2)\\) \\(O(n + m)\\) \\(O(n)\\) \u5185\u5b58\u7a7a\u95f4\u5360\u7528 \\(O(n^2)\\) \\(O(n + m)\\) \\(O(n + m)\\) <p>\u89c2\u5bdf\u4e0a\u8868\uff0c\u8c8c\u4f3c\u90bb\u63a5\u8868\uff08\u54c8\u5e0c\u8868\uff09\u7684\u65f6\u95f4\u4e0e\u7a7a\u95f4\u6548\u7387\u6700\u4f18\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u5728\u90bb\u63a5\u77e9\u9635\u4e2d\u64cd\u4f5c\u8fb9\u7684\u6548\u7387\u66f4\u9ad8\uff0c\u53ea\u9700\u8981\u4e00\u6b21\u6570\u7ec4\u8bbf\u95ee\u6216\u8d4b\u503c\u64cd\u4f5c\u5373\u53ef\u3002\u603b\u7ed3\u4ee5\u4e0a\uff0c\u90bb\u63a5\u77e9\u9635\u4f53\u73b0\u201c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u201d\uff0c\u90bb\u63a5\u8868\u4f53\u73b0\u201c\u4ee5\u65f6\u95f4\u6362\u7a7a\u95f4\u201d\u3002</p>"},{"location":"chapter_graph/graph_traversal/","title":"9.3. \u56fe\u7684\u904d\u5386","text":"<p>\u56fe\u4e0e\u6811\u7684\u5173\u7cfb</p> <p>\u6811\u4ee3\u8868\u7684\u662f\u201c\u4e00\u5bf9\u591a\u201d\u7684\u5173\u7cfb\uff0c\u800c\u56fe\u5219\u81ea\u7531\u5ea6\u66f4\u9ad8\uff0c\u53ef\u4ee5\u4ee3\u8868\u4efb\u610f\u201c\u591a\u5bf9\u591a\u201d\u5173\u7cfb\u3002\u672c\u8d28\u4e0a\uff0c\u53ef\u4ee5\u628a\u6811\u770b\u4f5c\u662f\u56fe\u7684\u4e00\u7c7b\u7279\u4f8b\u3002\u90a3\u4e48\u663e\u7136\uff0c\u6811\u904d\u5386\u64cd\u4f5c\u4e5f\u662f\u56fe\u904d\u5386\u64cd\u4f5c\u7684\u4e00\u4e2a\u7279\u4f8b\uff0c\u4e24\u8005\u7684\u65b9\u6cd5\u662f\u975e\u5e38\u7c7b\u4f3c\u7684\uff0c\u5efa\u8bae\u4f60\u5728\u5b66\u4e60\u672c\u7ae0\u8282\u7684\u8fc7\u7a0b\u4e2d\u5c06\u4e24\u8005\u878d\u4f1a\u8d2f\u901a\u3002</p> <p>\u300c\u56fe\u300d\u4e0e\u300c\u6811\u300d\u90fd\u662f\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u90fd\u9700\u8981\u4f7f\u7528\u300c\u641c\u7d22\u7b97\u6cd5\u300d\u6765\u5b9e\u73b0\u904d\u5386\u64cd\u4f5c\u3002</p> <p>\u7c7b\u4f3c\u5730\uff0c\u56fe\u7684\u904d\u5386\u65b9\u5f0f\u4e5f\u5206\u4e3a\u4e24\u79cd\uff0c\u5373\u300c\u5e7f\u5ea6\u4f18\u5148\u904d\u5386 Breadth-First Traversal\u300d\u548c\u300c\u6df1\u5ea6\u4f18\u5148\u904d\u5386 Depth-First Travsersal\u300d\uff0c\u4e5f\u79f0\u300c\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22 Breadth-First Search\u300d\u548c\u300c\u6df1\u5ea6\u4f18\u5148\u641c\u7d22 Depth-First Search\u300d\uff0c\u7b80\u79f0\u4e3a BFS \u548c DFS \u3002</p>"},{"location":"chapter_graph/graph_traversal/#931","title":"9.3.1. \u5e7f\u5ea6\u4f18\u5148\u904d\u5386","text":"<p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u4f18\u662f\u4e00\u79cd\u7531\u8fd1\u53ca\u8fdc\u7684\u904d\u5386\u65b9\u5f0f\uff0c\u4ece\u8ddd\u79bb\u6700\u8fd1\u7684\u9876\u70b9\u5f00\u59cb\u8bbf\u95ee\uff0c\u5e76\u4e00\u5c42\u5c42\u5411\u5916\u6269\u5f20\u3002\u5177\u4f53\u5730\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u5148\u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\uff0c\u968f\u540e\u904d\u5386\u4e0b\u4e2a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026</p> <p></p>"},{"location":"chapter_graph/graph_traversal/#_1","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>BFS \u5e38\u501f\u52a9\u300c\u961f\u5217\u300d\u6765\u5b9e\u73b0\u3002\u961f\u5217\u5177\u6709\u201c\u5148\u5165\u5148\u51fa\u201d\u7684\u6027\u8d28\uff0c\u8fd9\u4e0e BFS \u201c\u7531\u8fd1\u53ca\u8fdc\u201d\u7684\u601d\u60f3\u662f\u5f02\u66f2\u540c\u5de5\u7684\u3002</p> <ol> <li>\u5c06\u904d\u5386\u8d77\u59cb\u9876\u70b9 <code>startVet</code> \u52a0\u5165\u961f\u5217\uff0c\u5e76\u5f00\u542f\u5faa\u73af\uff1b</li> <li>\u5728\u5faa\u73af\u7684\u6bcf\u8f6e\u8fed\u4ee3\u4e2d\uff0c\u5f39\u51fa\u961f\u9996\u9876\u70b9\u5f39\u51fa\u5e76\u8bb0\u5f55\u8bbf\u95ee\uff0c\u5e76\u5c06\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\u52a0\u5165\u5230\u961f\u5217\u5c3e\u90e8\uff1b</li> <li>\u5faa\u73af <code>2.</code> \uff0c\u76f4\u5230\u6240\u6709\u9876\u70b9\u8bbf\u95ee\u5b8c\u6210\u540e\u7ed3\u675f\uff1b</li> </ol> <p>\u4e3a\u4e86\u9632\u6b62\u91cd\u590d\u904d\u5386\u9876\u70b9\uff0c\u6211\u4eec\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868 <code>visited</code> \u6765\u8bb0\u5f55\u54ea\u4e9b\u7ed3\u70b9\u5df2\u88ab\u8bbf\u95ee\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_bfs.java<pre><code>/* \u5e7f\u5ea6\u4f18\u5148\u904d\u5386 BFS */\n// \u4f7f\u7528\u90bb\u63a5\u8868\u6765\u8868\u793a\u56fe\uff0c\u4ee5\u4fbf\u83b7\u53d6\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nList&lt;Vertex&gt; graphBFS(GraphAdjList graph, Vertex startVet) {\n// \u9876\u70b9\u904d\u5386\u5e8f\u5217\nList&lt;Vertex&gt; res = new ArrayList&lt;&gt;();\n// \u54c8\u5e0c\u8868\uff0c\u7528\u4e8e\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nSet&lt;Vertex&gt; visited = new HashSet&lt;&gt;() {{ add(startVet); }};\n// \u961f\u5217\u7528\u4e8e\u5b9e\u73b0 BFS\nQueue&lt;Vertex&gt; que = new LinkedList&lt;&gt;() {{ offer(startVet); }};\n// \u4ee5\u9876\u70b9 vet \u4e3a\u8d77\u70b9\uff0c\u5faa\u73af\u76f4\u81f3\u8bbf\u95ee\u5b8c\u6240\u6709\u9876\u70b9\nwhile (!que.isEmpty()) {\nVertex vet = que.poll(); // \u961f\u9996\u9876\u70b9\u51fa\u961f\nres.add(vet);            // \u8bb0\u5f55\u8bbf\u95ee\u9876\u70b9\n// \u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nfor (Vertex adjVet : graph.adjList.get(vet)) {\nif (visited.contains(adjVet))\ncontinue;        // \u8df3\u8fc7\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nque.offer(adjVet);   // \u53ea\u5165\u961f\u672a\u8bbf\u95ee\u7684\u9876\u70b9\nvisited.add(adjVet); // \u6807\u8bb0\u8be5\u9876\u70b9\u5df2\u88ab\u8bbf\u95ee\n}\n}\n// \u8fd4\u56de\u9876\u70b9\u904d\u5386\u5e8f\u5217\nreturn res;\n}\n</code></pre> graph_bfs.cpp<pre><code>\n</code></pre> graph_bfs.py<pre><code>\n</code></pre> graph_bfs.go<pre><code>\n</code></pre> graph_bfs.js<pre><code>\n</code></pre> graph_bfs.ts<pre><code>\n</code></pre> graph_bfs.c<pre><code>\n</code></pre> graph_bfs.cs<pre><code>\n</code></pre> graph_bfs.swift<pre><code>\n</code></pre> graph_bfs.zig<pre><code>\n</code></pre> <p>\u4ee3\u7801\u76f8\u5bf9\u62bd\u8c61\uff0c\u5efa\u8bae\u5bf9\u7167\u4ee5\u4e0b\u52a8\u753b\u56fe\u793a\u6765\u52a0\u6df1\u7406\u89e3\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10Step 11 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7684\u5e8f\u5217\u662f\u5426\u552f\u4e00\uff1f</p> <p>\u4e0d\u552f\u4e00\u3002\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u53ea\u8981\u6c42\u201c\u7531\u8fd1\u53ca\u8fdc\u201d\uff0c\u800c\u76f8\u540c\u8ddd\u79bb\u7684\u591a\u4e2a\u9876\u70b9\u7684\u904d\u5386\u987a\u5e8f\u5141\u8bb8\u4efb\u610f\u88ab\u6253\u4e71\u3002\u4ee5\u4e0a\u56fe\u4e3a\u4f8b\uff0c\u9876\u70b9 \\(1\\) , \\(3\\) \u7684\u8bbf\u95ee\u987a\u5e8f\u53ef\u4ee5\u4ea4\u6362\u3001\u9876\u70b9 \\(2\\) , \\(4\\) , \\(6\\) \u7684\u8bbf\u95ee\u987a\u5e8f\u4e5f\u53ef\u4ee5\u4efb\u610f\u4ea4\u6362\u3001\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026</p>"},{"location":"chapter_graph/graph_traversal/#_2","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a \u6240\u6709\u9876\u70b9\u90fd\u4f1a\u5165\u961f\u3001\u51fa\u961f\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(|V|)\\) \u65f6\u95f4\uff1b\u5728\u904d\u5386\u90bb\u63a5\u9876\u70b9\u7684\u8fc7\u7a0b\u4e2d\uff0c\u7531\u4e8e\u662f\u65e0\u5411\u56fe\uff0c\u56e0\u6b64\u6240\u6709\u8fb9\u90fd\u4f1a\u88ab\u8bbf\u95ee \\(2\\) \u6b21\uff0c\u4f7f\u7528 \\(O(2|E|)\\) \u65f6\u95f4\uff1b\u603b\u4f53\u4f7f\u7528 \\(O(|V| + |E|)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a \u5217\u8868 <code>res</code> \uff0c\u54c8\u5e0c\u8868 <code>visited</code> \uff0c\u961f\u5217 <code>que</code> \u4e2d\u7684\u9876\u70b9\u6570\u91cf\u6700\u591a\u4e3a \\(|V|\\) \uff0c\u4f7f\u7528 \\(O(|V|)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_graph/graph_traversal/#932","title":"9.3.2. \u6df1\u5ea6\u4f18\u5148\u904d\u5386","text":"<p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u662f\u4e00\u79cd\u4f18\u5148\u8d70\u5230\u5e95\u3001\u65e0\u8def\u53ef\u8d70\u518d\u56de\u5934\u7684\u904d\u5386\u65b9\u5f0f\u3002\u5177\u4f53\u5730\uff0c\u4ece\u67d0\u4e2a\u9876\u70b9\u51fa\u53d1\uff0c\u4e0d\u65ad\u5730\u8bbf\u95ee\u5f53\u524d\u7ed3\u70b9\u7684\u67d0\u4e2a\u90bb\u63a5\u9876\u70b9\uff0c\u76f4\u5230\u8d70\u5230\u5c3d\u5934\u65f6\u56de\u6eaf\uff0c\u518d\u7ee7\u7eed\u8d70\u5230\u5e95 + \u56de\u6eaf\uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u76f4\u81f3\u6240\u6709\u9876\u70b9\u904d\u5386\u5b8c\u6210\u65f6\u7ed3\u675f\u3002</p> <p></p>"},{"location":"chapter_graph/graph_traversal/#_3","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u8fd9\u79cd\u201c\u8d70\u5230\u5934 + \u56de\u6eaf\u201d\u7684\u7b97\u6cd5\u5f62\u5f0f\u4e00\u822c\u57fa\u4e8e\u9012\u5f52\u6765\u5b9e\u73b0\u3002\u4e0e BFS \u7c7b\u4f3c\uff0c\u5728 DFS \u4e2d\u6211\u4eec\u4e5f\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868 <code>visited</code> \u6765\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u7684\u9876\u70b9\uff0c\u4ee5\u907f\u514d\u91cd\u590d\u8bbf\u95ee\u9876\u70b9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig graph_dfs.java<pre><code>/* \u6df1\u5ea6\u4f18\u5148\u904d\u5386 DFS \u8f85\u52a9\u51fd\u6570 */\nvoid dfs(GraphAdjList graph, Set&lt;Vertex&gt; visited, List&lt;Vertex&gt; res, Vertex vet) {\nres.add(vet);     // \u8bb0\u5f55\u8bbf\u95ee\u9876\u70b9\nvisited.add(vet); // \u6807\u8bb0\u8be5\u9876\u70b9\u5df2\u88ab\u8bbf\u95ee\n// \u904d\u5386\u8be5\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nfor (Vertex adjVet : graph.adjList.get(vet)) {\nif (visited.contains(adjVet))\ncontinue; // \u8df3\u8fc7\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\n// \u9012\u5f52\u8bbf\u95ee\u90bb\u63a5\u9876\u70b9\ndfs(graph, visited, res, adjVet);\n}\n}\n/* \u6df1\u5ea6\u4f18\u5148\u904d\u5386 DFS */\n// \u4f7f\u7528\u90bb\u63a5\u8868\u6765\u8868\u793a\u56fe\uff0c\u4ee5\u4fbf\u83b7\u53d6\u6307\u5b9a\u9876\u70b9\u7684\u6240\u6709\u90bb\u63a5\u9876\u70b9\nList&lt;Vertex&gt; graphDFS(GraphAdjList graph, Vertex startVet) {\n// \u9876\u70b9\u904d\u5386\u5e8f\u5217\nList&lt;Vertex&gt; res = new ArrayList&lt;&gt;();\n// \u54c8\u5e0c\u8868\uff0c\u7528\u4e8e\u8bb0\u5f55\u5df2\u88ab\u8bbf\u95ee\u8fc7\u7684\u9876\u70b9\nSet&lt;Vertex&gt; visited = new HashSet&lt;&gt;();\ndfs(graph, visited, res, startVet);\nreturn res;\n}\n</code></pre> graph_dfs.cpp<pre><code>\n</code></pre> graph_dfs.py<pre><code>\n</code></pre> graph_dfs.go<pre><code>\n</code></pre> graph_dfs.js<pre><code>\n</code></pre> graph_dfs.ts<pre><code>\n</code></pre> graph_dfs.c<pre><code>\n</code></pre> graph_dfs.cs<pre><code>\n</code></pre> graph_dfs.swift<pre><code>\n</code></pre> graph_dfs.zig<pre><code>\n</code></pre> <p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u7b97\u6cd5\u6d41\u7a0b\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5176\u4e2d</p> <ul> <li>\u76f4\u865a\u7ebf\u4ee3\u8868\u5411\u4e0b\u9012\u63a8\uff0c\u4ee3\u8868\u5f00\u542f\u4e86\u4e00\u4e2a\u65b0\u7684\u9012\u5f52\u65b9\u6cd5\u6765\u8bbf\u95ee\u65b0\u9876\u70b9\uff1b</li> <li>\u66f2\u865a\u7ebf\u4ee3\u8868\u5411\u4e0a\u56de\u6eaf\uff0c\u4ee3\u8868\u6b64\u9012\u5f52\u65b9\u6cd5\u5df2\u7ecf\u8fd4\u56de\uff0c\u56de\u6eaf\u5230\u4e86\u5f00\u542f\u6b64\u9012\u5f52\u65b9\u6cd5\u7684\u4f4d\u7f6e\uff1b</li> </ul> <p>\u4e3a\u4e86\u52a0\u6df1\u7406\u89e3\uff0c\u8bf7\u4f60\u5c06\u56fe\u793a\u4e0e\u4ee3\u7801\u7ed3\u5408\u8d77\u6765\uff0c\u5728\u8111\u4e2d\uff08\u6216\u8005\u7528\u7b14\u753b\u4e0b\u6765\uff09\u6a21\u62df\u6574\u4e2a DFS \u8fc7\u7a0b\uff0c\u5305\u62ec\u6bcf\u4e2a\u9012\u5f52\u65b9\u6cd5\u4f55\u65f6\u5f00\u542f\u3001\u4f55\u65f6\u8fd4\u56de\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10Step 11 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u5e8f\u5217\u662f\u5426\u552f\u4e00\uff1f</p> <p>\u4e0e\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7c7b\u4f3c\uff0c\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u5e8f\u5217\u7684\u987a\u5e8f\u4e5f\u4e0d\u662f\u552f\u4e00\u7684\u3002\u7ed9\u5b9a\u67d0\u9876\u70b9\uff0c\u5148\u5f80\u54ea\u4e2a\u65b9\u5411\u63a2\u7d22\u90fd\u884c\uff0c\u90fd\u662f\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u3002</p> <p>\u4ee5\u6811\u7684\u904d\u5386\u4e3a\u4f8b\uff0c\u201c\u6839 \\(\\rightarrow\\) \u5de6 \\(\\rightarrow\\) \u53f3\u201d\u3001\u201c\u5de6 \\(\\rightarrow\\) \u6839 \\(\\rightarrow\\) \u53f3\u201d\u3001\u201c\u5de6 \\(\\rightarrow\\) \u53f3 \\(\\rightarrow\\) \u6839\u201d\u5206\u522b\u5bf9\u5e94\u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386\uff0c\u4f53\u73b0\u4e09\u79cd\u4e0d\u540c\u7684\u904d\u5386\u4f18\u5148\u7ea7\uff0c\u800c\u4e09\u8005\u90fd\u5c5e\u4e8e\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u3002</p>"},{"location":"chapter_graph/graph_traversal/#_4","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a \u6240\u6709\u9876\u70b9\u90fd\u88ab\u8bbf\u95ee\u4e00\u6b21\uff1b\u6240\u6709\u8fb9\u90fd\u88ab\u8bbf\u95ee\u4e86 \\(2\\) \u6b21\uff0c\u4f7f\u7528 \\(O(2|E|)\\) \u65f6\u95f4\uff1b\u603b\u4f53\u4f7f\u7528 \\(O(|V| + |E|)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a \u5217\u8868 <code>res</code> \uff0c\u54c8\u5e0c\u8868 <code>visited</code> \u9876\u70b9\u6570\u91cf\u6700\u591a\u4e3a \\(|V|\\) \uff0c\u9012\u5f52\u6df1\u5ea6\u6700\u5927\u4e3a \\(|V|\\) \uff0c\u56e0\u6b64\u4f7f\u7528 \\(O(|V|)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_hashing/hash_collision/","title":"6.2. \u54c8\u5e0c\u51b2\u7a81","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u54c8\u5e0c\u51fd\u6570\u5e94\u8be5\u4e3a\u6bcf\u4e2a\u8f93\u5165\u4ea7\u751f\u552f\u4e00\u7684\u8f93\u51fa\uff0c\u4f7f\u5f97 key \u548c value \u4e00\u4e00\u5bf9\u5e94\u3002\u800c\u5b9e\u9645\u4e0a\uff0c\u5f80\u5f80\u5b58\u5728\u5411\u54c8\u5e0c\u51fd\u6570\u8f93\u5165\u4e0d\u540c\u7684 key \u800c\u4ea7\u751f\u76f8\u540c\u8f93\u51fa\u7684\u60c5\u51b5\uff0c\u8fd9\u79cd\u60c5\u51b5\u88ab\u79f0\u4e3a\u300c\u54c8\u5e0c\u51b2\u7a81 Hash Collision\u300d\u3002\u54c8\u5e0c\u51b2\u7a81\u4f1a\u5bfc\u81f4\u67e5\u8be2\u7ed3\u679c\u9519\u8bef\uff0c\u4ece\u800c\u4e25\u91cd\u5f71\u54cd\u54c8\u5e0c\u8868\u7684\u53ef\u7528\u6027\u3002</p> <p>\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\u5462\uff1f\u672c\u8d28\u4e0a\u770b\uff0c\u7531\u4e8e\u54c8\u5e0c\u51fd\u6570\u7684\u8f93\u5165\u7a7a\u95f4\u5f80\u5f80\u8fdc\u5927\u4e8e\u8f93\u51fa\u7a7a\u95f4\uff0c\u56e0\u6b64\u4e0d\u53ef\u907f\u514d\u5730\u4f1a\u51fa\u73b0\u591a\u4e2a\u8f93\u5165\u4ea7\u751f\u76f8\u540c\u8f93\u51fa\u7684\u60c5\u51b5\uff0c\u5373\u4e3a\u54c8\u5e0c\u51b2\u7a81\u3002\u6bd4\u5982\uff0c\u8f93\u5165\u7a7a\u95f4\u662f\u5168\u4f53\u6574\u6570\uff0c\u8f93\u51fa\u7a7a\u95f4\u662f\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u6876\uff08\u6570\u7ec4\uff09\u7684\u7d22\u5f15\u8303\u56f4\uff0c\u90a3\u4e48\u5fc5\u5b9a\u4f1a\u6709\u591a\u4e2a\u6574\u6570\u540c\u65f6\u6620\u5c04\u5230\u4e00\u4e2a\u6876\u7d22\u5f15\u3002</p> <p>\u4e3a\u4e86\u7f13\u89e3\u54c8\u5e0c\u51b2\u7a81\uff0c\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u300c\u54c8\u5e0c\u8868\u6269\u5bb9\u300d\u6765\u51cf\u5c0f\u51b2\u7a81\u6982\u7387\u3002\u6781\u7aef\u60c5\u51b5\u4e0b\uff0c\u5f53\u8f93\u5165\u7a7a\u95f4\u548c\u8f93\u51fa\u7a7a\u95f4\u5927\u5c0f\u76f8\u7b49\u65f6\uff0c\u54c8\u5e0c\u8868\u5c31\u7b49\u4ef7\u4e8e\u6570\u7ec4\u4e86\uff0c\u53ef\u8c13\u201c\u5927\u529b\u51fa\u5947\u8ff9\u201d\u3002</p> <p>\u53e6\u4e00\u65b9\u9762\uff0c\u8003\u8651\u901a\u8fc7\u4f18\u5316\u6570\u636e\u7ed3\u6784\u4ee5\u7f13\u89e3\u54c8\u5e0c\u51b2\u7a81\uff0c\u5e38\u89c1\u7684\u65b9\u6cd5\u6709\u300c\u94fe\u5f0f\u5730\u5740\u300d\u548c\u300c\u5f00\u653e\u5bfb\u5740\u300d\u3002</p>"},{"location":"chapter_hashing/hash_collision/#621","title":"6.2.1. \u54c8\u5e0c\u8868\u6269\u5bb9","text":"<p>\u300c\u8d1f\u8f7d\u56e0\u5b50 Load Factor\u300d\u5b9a\u4e49\u4e3a \u54c8\u5e0c\u8868\u4e2d\u5143\u7d20\u6570\u91cf\u9664\u4ee5\u6876\u69fd\u6570\u91cf\uff08\u5373\u6570\u7ec4\u5927\u5c0f\uff09\uff0c\u4ee3\u8868\u54c8\u5e0c\u51b2\u7a81\u7684\u4e25\u91cd\u7a0b\u5ea6\u3002</p> <p>\u8d1f\u8f7d\u56e0\u5b50\u5e38\u7528\u4f5c\u54c8\u5e0c\u8868\u6269\u5bb9\u7684\u89e6\u53d1\u6761\u4ef6\u3002\u6bd4\u5982\u5728 Java \u4e2d\uff0c\u5f53\u8d1f\u8f7d\u56e0\u5b50 \\(&gt; 0.75\\) \u65f6\u5219\u89e6\u53d1\u6269\u5bb9\uff0c\u5c06 HashMap \u5927\u5c0f\u6269\u5145\u81f3\u539f\u5148\u7684 \\(2\\) \u500d\u3002</p> <p>\u4e0e\u6570\u7ec4\u6269\u5bb9\u7c7b\u4f3c\uff0c\u54c8\u5e0c\u8868\u6269\u5bb9\u64cd\u4f5c\u7684\u5f00\u9500\u5f88\u5927\uff0c\u56e0\u4e3a\u9700\u8981\u5c06\u6240\u6709\u952e\u503c\u5bf9\u4ece\u539f\u54c8\u5e0c\u8868\u4f9d\u6b21\u79fb\u52a8\u81f3\u65b0\u54c8\u5e0c\u8868\u3002</p>"},{"location":"chapter_hashing/hash_collision/#622","title":"6.2.2. \u94fe\u5f0f\u5730\u5740","text":"<p>\u5728\u539f\u59cb\u54c8\u5e0c\u8868\u4e2d\uff0c\u6876\u5185\u7684\u6bcf\u4e2a\u5730\u5740\u53ea\u80fd\u5b58\u50a8\u4e00\u4e2a\u5143\u7d20\uff08\u5373\u952e\u503c\u5bf9\uff09\u3002\u8003\u8651\u5c06\u5355\u4e2a\u5143\u7d20\u8f6c\u5316\u6210\u4e00\u4e2a\u94fe\u8868\uff0c\u5c06\u6240\u6709\u51b2\u7a81\u5143\u7d20\u90fd\u5b58\u50a8\u5728\u4e00\u4e2a\u94fe\u8868\u4e2d\u3002</p> <p></p> <p>\u94fe\u5f0f\u5730\u5740\u4e0b\uff0c\u54c8\u5e0c\u8868\u64cd\u4f5c\u65b9\u6cd5\u4e3a\uff1a</p> <ul> <li>\u67e5\u8be2\u5143\u7d20\uff1a\u5148\u5c06 key \u8f93\u5165\u5230\u54c8\u5e0c\u51fd\u6570\u5f97\u5230\u6876\u5185\u7d22\u5f15\uff0c\u5373\u53ef\u8bbf\u95ee\u94fe\u8868\u5934\u7ed3\u70b9\uff0c\u518d\u901a\u8fc7\u904d\u5386\u94fe\u8868\u67e5\u627e\u5bf9\u5e94 value \u3002</li> <li>\u6dfb\u52a0\u5143\u7d20\uff1a\u5148\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u8bbf\u95ee\u94fe\u8868\u5934\u90e8\uff0c\u518d\u5c06\u7ed3\u70b9\uff08\u5373\u952e\u503c\u5bf9\uff09\u6dfb\u52a0\u5230\u94fe\u8868\u5934\u90e8\u5373\u53ef\u3002</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u540c\u6837\u5148\u6839\u636e\u54c8\u5e0c\u51fd\u6570\u7ed3\u679c\u8bbf\u95ee\u94fe\u8868\u5934\u90e8\uff0c\u518d\u904d\u5386\u94fe\u8868\u67e5\u627e\u5bf9\u5e94\u7ed3\u70b9\uff0c\u5220\u9664\u4e4b\u5373\u53ef\u3002</li> </ul> <p>\u94fe\u5f0f\u5730\u5740\u867d\u7136\u89e3\u51b3\u4e86\u54c8\u5e0c\u51b2\u7a81\u95ee\u9898\uff0c\u4f46\u4ecd\u5b58\u5728\u5c40\u9650\u6027\uff0c\u5305\u62ec\uff1a</p> <ul> <li>\u5360\u7528\u7a7a\u95f4\u53d8\u5927\uff0c\u56e0\u4e3a\u94fe\u8868\u6216\u4e8c\u53c9\u6811\u5305\u542b\u7ed3\u70b9\u6307\u9488\uff0c\u76f8\u6bd4\u4e8e\u6570\u7ec4\u66f4\u52a0\u8017\u8d39\u5185\u5b58\u7a7a\u95f4\uff1b</li> <li>\u67e5\u8be2\u6548\u7387\u964d\u4f4e\uff0c\u56e0\u4e3a\u9700\u8981\u7ebf\u6027\u904d\u5386\u94fe\u8868\u6765\u67e5\u627e\u5bf9\u5e94\u5143\u7d20\uff1b</li> </ul> <p>\u4e3a\u4e86\u7f13\u89e3\u65f6\u95f4\u6548\u7387\u95ee\u9898\uff0c\u53ef\u4ee5\u628a\u300c\u94fe\u8868\u300d\u8f6c\u5316\u4e3a\u300cAVL \u6811\u300d\u6216\u300c\u7ea2\u9ed1\u6811\u300d\uff0c\u5c06\u67e5\u8be2\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u81f3 \\(O(\\log n)\\) \u3002</p>"},{"location":"chapter_hashing/hash_collision/#623","title":"6.2.3. \u5f00\u653e\u5bfb\u5740","text":"<p>\u300c\u5f00\u653e\u5bfb\u5740\u300d\u4e0d\u5f15\u5165\u989d\u5916\u6570\u636e\u7ed3\u6784\uff0c\u800c\u662f\u901a\u8fc7\u201c\u591a\u6b21\u63a2\u6d4b\u201d\u6765\u89e3\u51b3\u54c8\u5e0c\u51b2\u7a81\u3002\u6839\u636e\u63a2\u6d4b\u65b9\u6cd5\u7684\u4e0d\u540c\uff0c\u4e3b\u8981\u5206\u4e3a \u7ebf\u6027\u63a2\u6d4b\u3001\u5e73\u65b9\u63a2\u6d4b\u3001\u591a\u6b21\u54c8\u5e0c\u3002</p>"},{"location":"chapter_hashing/hash_collision/#_1","title":"\u7ebf\u6027\u63a2\u6d4b","text":"<p>\u300c\u7ebf\u6027\u63a2\u6d4b\u300d\u4f7f\u7528\u56fa\u5b9a\u6b65\u957f\u7684\u7ebf\u6027\u67e5\u627e\u6765\u89e3\u51b3\u54c8\u5e0c\u51b2\u7a81\u3002</p> <p>\u63d2\u5165\u5143\u7d20\uff1a\u5982\u679c\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\uff0c\u5219\u4ece\u51b2\u7a81\u4f4d\u7f6e\u5411\u540e\u7ebf\u6027\u904d\u5386\uff08\u6b65\u957f\u4e00\u822c\u53d6 1 \uff09\uff0c\u76f4\u5230\u627e\u5230\u4e00\u4e2a\u7a7a\u4f4d\uff0c\u5219\u5c06\u5143\u7d20\u63d2\u5165\u5230\u8be5\u7a7a\u4f4d\u4e2d\u3002</p> <p>\u67e5\u627e\u5143\u7d20\uff1a\u82e5\u51fa\u73b0\u54c8\u5e0c\u51b2\u7a81\uff0c\u5219\u4f7f\u7528\u76f8\u540c\u6b65\u957f\u6267\u884c\u7ebf\u6027\u67e5\u627e\uff0c\u4f1a\u9047\u5230\u4e24\u79cd\u60c5\u51b5\uff1a</p> <ol> <li>\u627e\u5230\u5bf9\u5e94\u5143\u7d20\uff0c\u8fd4\u56de value \u5373\u53ef\uff1b</li> <li>\u82e5\u9047\u5230\u7a7a\u4f4d\uff0c\u5219\u8bf4\u660e\u67e5\u627e\u952e\u503c\u5bf9\u4e0d\u5728\u54c8\u5e0c\u8868\u4e2d\uff1b</li> </ol> <p></p> <p>\u7ebf\u6027\u63a2\u6d4b\u5b58\u5728\u4ee5\u4e0b\u7f3a\u9677\uff1a</p> <ul> <li>\u4e0d\u80fd\u76f4\u63a5\u5220\u9664\u5143\u7d20\u3002\u5220\u9664\u5143\u7d20\u4f1a\u5bfc\u81f4\u6876\u5185\u51fa\u73b0\u4e00\u4e2a\u7a7a\u4f4d\uff0c\u5728\u67e5\u627e\u5176\u4ed6\u5143\u7d20\u65f6\uff0c\u8be5\u7a7a\u4f4d\u6709\u53ef\u80fd\u5bfc\u81f4\u7a0b\u5e8f\u8ba4\u4e3a\u5143\u7d20\u4e0d\u5b58\u5728\uff08\u5373\u4e0a\u8ff0\u7b2c <code>2.</code> \u79cd\u60c5\u51b5\uff09\u3002\u56e0\u6b64\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u6807\u5fd7\u4f4d\u6765\u6807\u8bb0\u5220\u9664\u5143\u7d20\u3002</li> <li>\u5bb9\u6613\u4ea7\u751f\u805a\u96c6\u3002\u6876\u5185\u88ab\u5360\u7528\u7684\u8fde\u7eed\u4f4d\u7f6e\u8d8a\u957f\uff0c\u8fd9\u4e9b\u8fde\u7eed\u4f4d\u7f6e\u53d1\u751f\u54c8\u5e0c\u51b2\u7a81\u7684\u53ef\u80fd\u6027\u8d8a\u5927\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u4fc3\u8fdb\u8fd9\u4e00\u4f4d\u7f6e\u7684\u201c\u805a\u5806\u751f\u957f\u201d\uff0c\u6700\u7ec8\u5bfc\u81f4\u589e\u5220\u67e5\u6539\u64cd\u4f5c\u6548\u7387\u7684\u52a3\u5316\u3002</li> </ul>"},{"location":"chapter_hashing/hash_collision/#_2","title":"\u591a\u6b21\u54c8\u5e0c","text":"<p>\u987e\u540d\u601d\u4e49\uff0c\u300c\u591a\u6b21\u54c8\u5e0c\u300d\u7684\u601d\u8def\u662f\u4f7f\u7528\u591a\u4e2a\u54c8\u5e0c\u51fd\u6570 \\(f_1(x)\\) , \\(f_2(x)\\) , \\(f_3(x)\\) , \\(\\cdots\\) \u8fdb\u884c\u63a2\u6d4b\u3002</p> <p>\u63d2\u5165\u5143\u7d20\uff1a\u82e5\u54c8\u5e0c\u51fd\u6570 \\(f_1(x)\\) \u51fa\u73b0\u51b2\u7a81\uff0c\u5219\u5c1d\u8bd5 \\(f_2(x)\\) \uff0c\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u76f4\u5230\u627e\u5230\u7a7a\u4f4d\u540e\u63d2\u5165\u5143\u7d20\u3002</p> <p>\u67e5\u627e\u5143\u7d20\uff1a\u4ee5\u76f8\u540c\u7684\u54c8\u5e0c\u51fd\u6570\u987a\u5e8f\u67e5\u627e\uff0c\u5b58\u5728\u4e24\u79cd\u60c5\u51b5\uff1a</p> <ol> <li>\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u5219\u8fd4\u56de\u4e4b\uff1b</li> <li>\u5230\u7a7a\u4f4d\u6216\u5df2\u5c1d\u8bd5\u6240\u6709\u54c8\u5e0c\u51fd\u6570\uff0c\u8bf4\u660e\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64\u5143\u7d20\uff1b</li> </ol> <p>\u76f8\u6bd4\u4e8e\u300c\u7ebf\u6027\u63a2\u6d4b\u300d\uff0c\u300c\u591a\u6b21\u54c8\u5e0c\u300d\u65b9\u6cd5\u66f4\u4e0d\u5bb9\u6613\u4ea7\u751f\u805a\u96c6\uff0c\u4ee3\u4ef7\u662f\u591a\u4e2a\u54c8\u5e0c\u51fd\u6570\u589e\u52a0\u4e86\u989d\u5916\u8ba1\u7b97\u91cf\u3002</p> <p>\u5de5\u4e1a\u754c\u65b9\u6848</p> <p>Java \u91c7\u7528\u300c\u94fe\u5f0f\u5730\u5740\u300d\u3002\u5728 JDK 1.8 \u4e4b\u540e\uff0cHashMap \u5185\u6570\u7ec4\u957f\u5ea6\u5927\u4e8e 64 \u65f6\uff0c\u957f\u5ea6\u5927\u4e8e 8 \u7684\u94fe\u8868\u4f1a\u88ab\u8f6c\u5316\u4e3a\u300c\u7ea2\u9ed1\u6811\u300d\uff0c\u4ee5\u63d0\u5347\u67e5\u627e\u6027\u80fd\u3002</p> <p>Python \u91c7\u7528\u300c\u5f00\u653e\u5bfb\u5740\u300d\u3002\u5b57\u5178 dict \u4f7f\u7528\u4f2a\u968f\u673a\u6570\u8fdb\u884c\u63a2\u6d4b\u3002 </p>"},{"location":"chapter_hashing/hash_map/","title":"6.1. \u54c8\u5e0c\u8868","text":"<p>\u54c8\u5e0c\u8868\u901a\u8fc7\u5efa\u7acb\u300c\u952e key\u300d\u548c\u300c\u503c value\u300d\u4e4b\u95f4\u7684\u6620\u5c04\uff0c\u5b9e\u73b0\u9ad8\u6548\u7684\u5143\u7d20\u67e5\u627e\u3002\u5177\u4f53\u5730\uff0c\u8f93\u5165\u4e00\u4e2a key \uff0c\u5728\u54c8\u5e0c\u8868\u4e2d\u67e5\u8be2\u5e76\u83b7\u53d6 value \uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(1)\\) \u3002</p> <p>\u4f8b\u5982\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u5305\u542b \\(n\\) \u4e2a\u5b66\u751f\u7684\u6570\u636e\u5e93\uff0c\u6bcf\u4e2a\u5b66\u751f\u6709\u201c\u59d3\u540d <code>name</code> \u201d\u548c\u201c\u5b66\u53f7 <code>id</code> \u201d\u4e24\u9879\u6570\u636e\uff0c\u5e0c\u671b\u5b9e\u73b0\u4e00\u4e2a\u67e5\u8be2\u529f\u80fd\uff1a\u8f93\u5165\u4e00\u4e2a\u5b66\u53f7\uff0c\u8fd4\u56de\u5bf9\u5e94\u7684\u59d3\u540d\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528\u54c8\u5e0c\u8868\u5b9e\u73b0\u3002</p> <p></p> <p> Fig. \u54c8\u5e0c\u8868\u62bd\u8c61\u8868\u793a </p>"},{"location":"chapter_hashing/hash_map/#611","title":"6.1.1. \u54c8\u5e0c\u8868\u6548\u7387","text":"<p>\u9664\u4e86\u54c8\u5e0c\u8868\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u6570\u636e\u7ed3\u6784\u6765\u5b9e\u73b0\u4e0a\u8ff0\u67e5\u8be2\u529f\u80fd\uff1a</p> <ol> <li>\u65e0\u5e8f\u6570\u7ec4\uff1a\u6bcf\u4e2a\u5143\u7d20\u4e3a  <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff1b</li> <li>\u6709\u5e8f\u6570\u7ec4\uff1a\u5c06 <code>1.</code> \u4e2d\u7684\u6570\u7ec4\u6309\u7167\u5b66\u53f7\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\uff1b</li> <li>\u94fe\u8868\uff1a\u6bcf\u4e2a\u7ed3\u70b9\u7684\u503c\u4e3a <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff1b</li> <li>\u4e8c\u53c9\u641c\u7d22\u6811\uff1a\u6bcf\u4e2a\u7ed3\u70b9\u7684\u503c\u4e3a <code>[\u5b66\u53f7, \u59d3\u540d]</code> \uff0c\u6839\u636e\u5b66\u53f7\u5927\u5c0f\u6765\u6784\u5efa\u6811\uff1b</li> </ol> <p>\u4f7f\u7528\u4e0a\u8ff0\u65b9\u6cd5\uff0c\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5982\u4e0b\u8868\u6240\u793a\uff08\u5728\u6b64\u4e0d\u505a\u8d58\u8ff0\uff0c\u8be6\u89e3\u53ef\u89c1 \u4e8c\u53c9\u641c\u7d22\u6811\u7ae0\u8282\uff09\u3002\u65e0\u8bba\u662f\u67e5\u627e\u5143\u7d20\u3001\u8fd8\u662f\u589e\u5220\u5143\u7d20\uff0c\u54c8\u5e0c\u8868\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f \\(O(1)\\) \uff0c\u5168\u9762\u80dc\u51fa\uff01</p> \u65e0\u5e8f\u6570\u7ec4 \u6709\u5e8f\u6570\u7ec4 \u94fe\u8868 \u4e8c\u53c9\u641c\u7d22\u6811 \u54c8\u5e0c\u8868 \u67e5\u627e\u5143\u7d20 \\(O(n)\\) \\(O(\\log n)\\) \\(O(n)\\) \\(O(\\log n)\\) \\(O(1)\\) \u63d2\u5165\u5143\u7d20 \\(O(1)\\) \\(O(n)\\) \\(O(1)\\) \\(O(\\log n)\\) \\(O(1)\\) \u5220\u9664\u5143\u7d20 \\(O(n)\\) \\(O(n)\\) \\(O(n)\\) \\(O(\\log n)\\) \\(O(1)\\)"},{"location":"chapter_hashing/hash_map/#612","title":"6.1.2. \u54c8\u5e0c\u8868\u5e38\u7528\u64cd\u4f5c","text":"<p>\u54c8\u5e0c\u8868\u7684\u57fa\u672c\u64cd\u4f5c\u5305\u62ec \u521d\u59cb\u5316\u3001\u67e5\u8be2\u64cd\u4f5c\u3001\u6dfb\u52a0\u4e0e\u5220\u9664\u952e\u503c\u5bf9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hash_map.java<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nMap&lt;Integer, String&gt; map = new HashMap&lt;&gt;();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.put(12836, \"\u5c0f\u54c8\");   map.put(15937, \"\u5c0f\u5570\");   map.put(16750, \"\u5c0f\u7b97\");   map.put(13276, \"\u5c0f\u6cd5\");\nmap.put(10583, \"\u5c0f\u9e2d\");\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nString name = map.get(15937);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.remove(10583);\n</code></pre> hash_map.cpp<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nunordered_map&lt;int, string&gt; map;\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap[12836] = \"\u5c0f\u54c8\";\nmap[15937] = \"\u5c0f\u5570\";\nmap[16750] = \"\u5c0f\u7b97\";\nmap[13276] = \"\u5c0f\u6cd5\";\nmap[10583] = \"\u5c0f\u9e2d\";\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nstring name = map[15937];\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.erase(10583);\n</code></pre> hash_map.py<pre><code>\"\"\" \u521d\u59cb\u5316\u54c8\u5e0c\u8868 \"\"\"\nmapp = {}\n\"\"\" \u6dfb\u52a0\u64cd\u4f5c \"\"\"\n# \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmapp[12836] = \"\u5c0f\u54c8\"\nmapp[15937] = \"\u5c0f\u5570\"\nmapp[16750] = \"\u5c0f\u7b97\"\nmapp[13276] = \"\u5c0f\u6cd5\"\nmapp[10583] = \"\u5c0f\u9e2d\"\n\"\"\" \u67e5\u8be2\u64cd\u4f5c \"\"\"\n# \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nname = mapp[15937]\n\"\"\" \u5220\u9664\u64cd\u4f5c \"\"\"\n# \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmapp.pop(10583)\n</code></pre> hash_map.go<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nmapp := make(map[int]string)\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmapp[12836] = \"\u5c0f\u54c8\"\nmapp[15937] = \"\u5c0f\u5570\"\nmapp[16750] = \"\u5c0f\u7b97\"\nmapp[13276] = \"\u5c0f\u6cd5\"\nmapp[10583] = \"\u5c0f\u9e2d\"\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nname := mapp[15937]\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\ndelete(mapp, 10583)\n</code></pre> hash_map.js<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nconst map = new ArrayHashMap();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.set(12836, '\u5c0f\u54c8');\nmap.set(15937, '\u5c0f\u5570');\nmap.set(16750, '\u5c0f\u7b97');\nmap.set(13276, '\u5c0f\u6cd5');\nmap.set(10583, '\u5c0f\u9e2d');\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map.get(15937);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.delete(10583);\n</code></pre> hash_map.ts<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nconst map = new Map&lt;number, string&gt;();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.set(12836, '\u5c0f\u54c8');\nmap.set(15937, '\u5c0f\u5570');\nmap.set(16750, '\u5c0f\u7b97');\nmap.set(13276, '\u5c0f\u6cd5');\nmap.set(10583, '\u5c0f\u9e2d');\nconsole.info('\\n\u6dfb\u52a0\u5b8c\u6210\u540e\uff0c\u54c8\u5e0c\u8868\u4e3a\\nKey -&gt; Value');\nconsole.info(map);\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map.get(15937);\nconsole.info('\\n\u8f93\u5165\u5b66\u53f7 15937 \uff0c\u67e5\u8be2\u5230\u59d3\u540d ' + name);\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.delete(10583);\nconsole.info('\\n\u5220\u9664 10583 \u540e\uff0c\u54c8\u5e0c\u8868\u4e3a\\nKey -&gt; Value');\nconsole.info(map);\n</code></pre> hash_map.c<pre><code>\n</code></pre> hash_map.cs<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nDictionary&lt;int, String&gt; map = new ();\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap.Add(12836, \"\u5c0f\u54c8\");\nmap.Add(15937, \"\u5c0f\u5570\");\nmap.Add(16750, \"\u5c0f\u7b97\");\nmap.Add(13276, \"\u5c0f\u6cd5\");\nmap.Add(10583, \"\u5c0f\u9e2d\");\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nString name = map[15937];\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.Remove(10583);\n</code></pre> hash_map.swift<pre><code>/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nvar map: [Int: String] = [:]\n/* \u6dfb\u52a0\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u6dfb\u52a0\u952e\u503c\u5bf9 (key, value)\nmap[12836] = \"\u5c0f\u54c8\"\nmap[15937] = \"\u5c0f\u5570\"\nmap[16750] = \"\u5c0f\u7b97\"\nmap[13276] = \"\u5c0f\u6cd5\"\nmap[10583] = \"\u5c0f\u9e2d\"\n/* \u67e5\u8be2\u64cd\u4f5c */\n// \u5411\u54c8\u5e0c\u8868\u8f93\u5165\u952e key \uff0c\u5f97\u5230\u503c value\nlet name = map[15937]!\n/* \u5220\u9664\u64cd\u4f5c */\n// \u5728\u54c8\u5e0c\u8868\u4e2d\u5220\u9664\u952e\u503c\u5bf9 (key, value)\nmap.removeValue(forKey: 10583)\n</code></pre> hash_map.zig<pre><code>\n</code></pre> <p>\u904d\u5386\u54c8\u5e0c\u8868\u6709\u4e09\u79cd\u65b9\u5f0f\uff0c\u5373 \u904d\u5386\u952e\u503c\u5bf9\u3001\u904d\u5386\u952e\u3001\u904d\u5386\u503c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hash_map.java<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor (Map.Entry &lt;Integer, String&gt; kv: map.entrySet()) {\nSystem.out.println(kv.getKey() + \" -&gt; \" + kv.getValue());\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor (int key: map.keySet()) {\nSystem.out.println(key);\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor (String val: map.values()) {\nSystem.out.println(val);\n}\n</code></pre> hash_map.cpp<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor (auto kv: map) {\ncout &lt;&lt; kv.first &lt;&lt; \" -&gt; \" &lt;&lt; kv.second &lt;&lt; endl;\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor (auto key: map) {\ncout &lt;&lt; key.first &lt;&lt; endl;\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor (auto val: map) {\ncout &lt;&lt; val.second &lt;&lt; endl;\n}\n</code></pre> hash_map.py<pre><code>\"\"\" \u904d\u5386\u54c8\u5e0c\u8868 \"\"\"\n# \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor key, value in mapp.items():\nprint(key, \"-&gt;\", value)\n# \u5355\u72ec\u904d\u5386\u952e key\nfor key in mapp.keys():\nprint(key)\n# \u5355\u72ec\u904d\u5386\u503c value\nfor value in mapp.values():\nprint(value)\n</code></pre> hash_map_test.go<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 key-&gt;value\nfor key, value := range mapp {\nfmt.Println(key, \"-&gt;\", value)\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nfor key := range mapp {\nfmt.Println(key)\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nfor _, value := range mapp {\nfmt.Println(value)\n}\n</code></pre> hash_map.js<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\nconsole.info('\\n\u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value');\nfor (const [k, v] of map.entries()) {\nconsole.info(k + ' -&gt; ' + v);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u952e Key');\nfor (const k of map.keys()) {\nconsole.info(k);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u503c Value');\nfor (const v of map.values()) {\nconsole.info(v);\n}\n</code></pre> hash_map.ts<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\nconsole.info('\\n\u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value');\nfor (const [k, v] of map.entries()) {\nconsole.info(k + ' -&gt; ' + v);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u952e Key');\nfor (const k of map.keys()) {\nconsole.info(k);\n}\nconsole.info('\\n\u5355\u72ec\u904d\u5386\u503c Value');\nfor (const v of map.values()) {\nconsole.info(v);\n}\n</code></pre> hash_map.c<pre><code>\n</code></pre> hash_map.cs<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value\nforeach (var kv in map) {\nConsole.WriteLine(kv.Key + \" -&gt; \" + kv.Value);\n}\n// \u5355\u72ec\u904d\u5386\u952e key\nforeach (int key in map.Keys) {\nConsole.WriteLine(key);\n}\n// \u5355\u72ec\u904d\u5386\u503c value\nforeach (String val in map.Values) {\nConsole.WriteLine(val);\n}\n</code></pre> hash_map.swift<pre><code>/* \u904d\u5386\u54c8\u5e0c\u8868 */\n// \u904d\u5386\u952e\u503c\u5bf9 Key-&gt;Value\nfor (key, value) in map {\nprint(\"\\(key) -&gt; \\(value)\")\n}\n// \u5355\u72ec\u904d\u5386\u952e Key\nfor key in map.keys {\nprint(key)\n}\n// \u5355\u72ec\u904d\u5386\u503c Value\nfor value in map.values {\nprint(value)\n}\n</code></pre> hash_map.zig<pre><code>\n</code></pre>"},{"location":"chapter_hashing/hash_map/#613","title":"6.1.3. \u54c8\u5e0c\u51fd\u6570","text":"<p>\u54c8\u5e0c\u8868\u4e2d\u5b58\u50a8\u5143\u7d20\u7684\u6570\u636e\u7ed3\u6784\u88ab\u79f0\u4e3a\u300c\u6876 Bucket\u300d\uff0c\u5e95\u5c42\u5b9e\u73b0\u53ef\u80fd\u662f\u6570\u7ec4\u3001\u94fe\u8868\u3001\u4e8c\u53c9\u6811\uff08\u7ea2\u9ed1\u6811\uff09\uff0c\u6216\u662f\u5b83\u4eec\u7684\u7ec4\u5408\u3002</p> <p>\u6700\u7b80\u5355\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u4ec5\u7528\u4e00\u4e2a\u300c\u6570\u7ec4\u300d\u6765\u5b9e\u73b0\u54c8\u5e0c\u8868\u3002\u9996\u5148\uff0c\u5c06\u6240\u6709 value \u653e\u5165\u6570\u7ec4\u4e2d\uff0c\u90a3\u4e48\u6bcf\u4e2a value \u5728\u6570\u7ec4\u4e2d\u90fd\u6709\u552f\u4e00\u7684\u300c\u7d22\u5f15\u300d\u3002\u663e\u7136\uff0c\u8bbf\u95ee value \u9700\u8981\u7ed9\u5b9a\u7d22\u5f15\uff0c\u800c\u4e3a\u4e86 \u5efa\u7acb key \u548c\u7d22\u5f15\u4e4b\u95f4\u7684\u6620\u5c04\u5173\u7cfb\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u300c\u54c8\u5e0c\u51fd\u6570 Hash Function\u300d\u3002</p> <p>\u8bbe\u6570\u7ec4\u4e3a <code>bucket</code> \uff0c\u54c8\u5e0c\u51fd\u6570\u4e3a <code>f(x)</code> \uff0c\u8f93\u5165\u952e\u4e3a <code>key</code> \u3002\u90a3\u4e48\u83b7\u53d6 value \u7684\u6b65\u9aa4\u4e3a\uff1a</p> <ol> <li>\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u51fa\u7d22\u5f15\uff0c\u5373 <code>index = f(key)</code> \uff1b</li> <li>\u901a\u8fc7\u7d22\u5f15\u5728\u6570\u7ec4\u4e2d\u83b7\u53d6\u503c\uff0c\u5373 <code>value = bucket[index]</code> \uff1b</li> </ol> <p>\u4ee5\u4e0a\u8ff0\u5b66\u751f\u6570\u636e <code>key \u5b66\u53f7 -&gt; value \u59d3\u540d</code> \u4e3a\u4f8b\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u300c\u54c8\u5e0c\u51fd\u6570\u300d\u8bbe\u8ba1\u4e3a</p> \\[ f(x) = x \\% 100 \\] <p></p> <p> Fig. \u54c8\u5e0c\u51fd\u6570 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_hash_map.java<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry {\npublic int key;\npublic String val;\npublic Entry(int key, String val) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate List&lt;Entry&gt; bucket;\npublic ArrayHashMap() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket = new ArrayList&lt;&gt;();\nfor (int i = 0; i &lt; 100; i++) {\nbucket.add(null);\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate int hashFunc(int key) {\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic String get(int key) {\nint index = hashFunc(key);\nEntry pair = bucket.get(index);\nif (pair == null) return null;\nreturn pair.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic void put(int key, String val) {\nEntry pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket.set(index, pair);\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic void remove(int key) {\nint index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nbucket.set(index, null);\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic List&lt;Entry&gt; entrySet() {\nList&lt;Entry&gt; entrySet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nentrySet.add(pair);\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic List&lt;Integer&gt; keySet() {\nList&lt;Integer&gt; keySet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nkeySet.add(pair.key);\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic List&lt;String&gt; valueSet() {\nList&lt;String&gt; valueSet = new ArrayList&lt;&gt;();\nfor (Entry pair : bucket) {\nif (pair != null)\nvalueSet.add(pair.val);\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic void print() {\nfor (Entry kv: entrySet()) {\nSystem.out.println(kv.key + \" -&gt; \" + kv.val);\n}\n}\n}\n</code></pre> array_hash_map.cpp<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nstruct Entry {\npublic:\nint key;\nstring val;\nEntry(int key, string val) {\nthis-&gt;key = key;\nthis-&gt;val = val;\n}\n};\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate:\nvector&lt;Entry*&gt; bucket;\npublic:\nArrayHashMap() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket= vector&lt;Entry*&gt;(100);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nint hashFunc(int key) {\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nstring get(int key) {\nint index = hashFunc(key);\nEntry* pair = bucket[index];\nif (pair == nullptr)\nreturn nullptr;\nreturn pair-&gt;val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nvoid put(int key, string val) {\nEntry* pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket[index] = pair;\n}\n/* \u5220\u9664\u64cd\u4f5c */\nvoid remove(int key) {\nint index = hashFunc(key);\n// \u7f6e\u4e3a nullptr \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = nullptr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nvector&lt;Entry*&gt; entrySet() {\nvector&lt;Entry*&gt; entrySet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr) {\nentrySet.push_back(pair);\n}\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nvector&lt;int&gt; keySet() {\nvector&lt;int&gt; keySet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr) {\nkeySet.push_back(pair-&gt;key);\n}\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nvector&lt;string&gt; valueSet() {\nvector&lt;string&gt; valueSet;\nfor (Entry* pair: bucket) {\nif (pair != nullptr){\nvalueSet.push_back(pair-&gt;val);\n}\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nvoid print() {\nfor (Entry* kv: entrySet()) {\ncout &lt;&lt; kv-&gt;key &lt;&lt; \" -&gt; \" &lt;&lt; kv-&gt;val &lt;&lt; endl;\n}\n}\n};\n</code></pre> array_hash_map.py<pre><code>\"\"\" \u952e\u503c\u5bf9 int-&gt;String \"\"\"\nclass Entry:\ndef __init__(self, key, val):\nself.key = key\nself.val = val\n\"\"\" \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 \"\"\"\nclass ArrayHashMap:\ndef __init__(self):\n# \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nself.bucket = [None] * 100\n\"\"\" \u54c8\u5e0c\u51fd\u6570 \"\"\"\ndef hash_func(self, key):\nindex = key % 100\nreturn index\n\"\"\" \u67e5\u8be2\u64cd\u4f5c \"\"\"\ndef get(self, key):\nindex = self.hash_func(key)\npair = self.bucket[index]\nif pair is None:\nreturn None\nreturn pair.val\n\"\"\" \u6dfb\u52a0\u64cd\u4f5c \"\"\"\ndef put(self, key, val):\npair = Entry(key, val)\nindex = self.hash_func(key)\nself.bucket[index] = pair\n\"\"\" \u5220\u9664\u64cd\u4f5c \"\"\"\ndef remove(self, key):\nindex = self.hash_func(key)\n# \u7f6e\u4e3a None \uff0c\u4ee3\u8868\u5220\u9664\nself.bucket[index] = None\n\"\"\" \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 \"\"\"\ndef entry_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair)\nreturn result\n\"\"\" \u83b7\u53d6\u6240\u6709\u952e \"\"\"\ndef key_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair.key)\nreturn result\n\"\"\" \u83b7\u53d6\u6240\u6709\u503c \"\"\"\ndef value_set(self):\nresult = []\nfor pair in self.bucket:\nif pair is not None:\nresult.append(pair.val)\nreturn result\n\"\"\" \u6253\u5370\u54c8\u5e0c\u8868 \"\"\"\ndef print(self):\nfor pair in self.bucket:\nif pair is not None:\nprint(pair.key, \"-&gt;\", pair.val)\n</code></pre> array_hash_map.go<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\ntype entry struct {\nkey int\nval string\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\ntype arrayHashMap struct {\nbucket []*entry\n}\n/* \u521d\u59cb\u5316\u54c8\u5e0c\u8868 */\nfunc newArrayHashMap() *arrayHashMap {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket := make([]*entry, 100)\nreturn &amp;arrayHashMap{bucket: bucket}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nfunc (a *arrayHashMap) hashFunc(key int) int {\nindex := key % 100\nreturn index\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nfunc (a *arrayHashMap) get(key int) string {\nindex := a.hashFunc(key)\npair := a.bucket[index]\nif pair == nil {\nreturn \"Not Found\"\n}\nreturn pair.val\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nfunc (a *arrayHashMap) put(key int, val string) {\npair := &amp;entry{key: key, val: val}\nindex := a.hashFunc(key)\na.bucket[index] = pair\n}\n/* \u5220\u9664\u64cd\u4f5c */\nfunc (a *arrayHashMap) remove(key int) {\nindex := a.hashFunc(key)\n// \u7f6e\u4e3a nil \uff0c\u4ee3\u8868\u5220\u9664\na.bucket[index] = nil\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u5bf9 */\nfunc (a *arrayHashMap) entrySet() []*entry {\nvar pairs []*entry\nfor _, pair := range a.bucket {\nif pair != nil {\npairs = append(pairs, pair)\n}\n}\nreturn pairs\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nfunc (a *arrayHashMap) keySet() []int {\nvar keys []int\nfor _, pair := range a.bucket {\nif pair != nil {\nkeys = append(keys, pair.key)\n}\n}\nreturn keys\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nfunc (a *arrayHashMap) valueSet() []string {\nvar values []string\nfor _, pair := range a.bucket {\nif pair != nil {\nvalues = append(values, pair.val)\n}\n}\nreturn values\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nfunc (a *arrayHashMap) print() {\nfor _, pair := range a.bucket {\nif pair != nil {\nfmt.Println(pair.key, \"-&gt;\", pair.val)\n}\n}\n}\n</code></pre> array_hash_map.js<pre><code>/* \u952e\u503c\u5bf9 Number -&gt; String */\nclass Entry {\nconstructor(key, val) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\n#bucket;\nconstructor() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nthis.#bucket = new Array(100).fill(null);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\n#hashFunc(key) {\nreturn key % 100;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nget(key) {\nlet index = this.#hashFunc(key);\nlet entry = this.#bucket[index];\nif (entry === null) return null;\nreturn entry.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nset(key, val) {\nlet index = this.#hashFunc(key);\nthis.#bucket[index] = new Entry(key, val);\n}\n/* \u5220\u9664\u64cd\u4f5c */\ndelete(key) {\nlet index = this.#hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nthis.#bucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nentries() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nkeys() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]?.key);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nvalues() {\nlet arr = [];\nfor (let i = 0; i &lt; this.#bucket.length; i++) {\nif (this.#bucket[i]) {\narr.push(this.#bucket[i]?.val);\n}\n}\nreturn arr;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nprint() {\nlet entrySet = this.entries();\nfor (const entry of entrySet) {\nif (!entry) continue;\nconsole.info(`${entry.key} -&gt; ${entry.val}`);\n}\n}\n}\n</code></pre> array_hash_map.ts<pre><code>/* \u952e\u503c\u5bf9 Number -&gt; String */\nclass Entry {\npublic key: number;\npublic val: string;\nconstructor(key: number, val: string) {\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate readonly bucket: (Entry | null)[];\nconstructor() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nthis.bucket = (new Array(100)).fill(null);\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate hashFunc(key: number): number {\nreturn key % 100;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic get(key: number): string | null {\nlet index = this.hashFunc(key);\nlet entry = this.bucket[index];\nif (entry === null) return null;\nreturn entry.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic set(key: number, val: string) {\nlet index = this.hashFunc(key);\nthis.bucket[index] = new Entry(key, val);\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic delete(key: number) {\nlet index = this.hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nthis.bucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic entries(): (Entry | null)[] {\nlet arr: (Entry | null)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic keys(): (number | undefined)[] {\nlet arr: (number | undefined)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]?.key);\n}\n}\nreturn arr;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic values(): (string | undefined)[] {\nlet arr: (string | undefined)[] = [];\nfor (let i = 0; i &lt; this.bucket.length; i++) {\nif (this.bucket[i]) {\narr.push(this.bucket[i]?.val);\n}\n}\nreturn arr;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic print() {\nlet entrySet = this.entries();\nfor (const entry of entrySet) {\nif (!entry) continue;\nconsole.info(`${entry.key} -&gt; ${entry.val}`);\n}\n}\n}\n</code></pre> array_hash_map.c<pre><code>[class]{entry}-[func]{}\n[class]{arrayHashMap}-[func]{}\n</code></pre> array_hash_map.cs<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry\n{\npublic int key;\npublic String val;\npublic Entry(int key, String val)\n{\nthis.key = key;\nthis.val = val;\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap\n{\nprivate List&lt;Entry?&gt; bucket;\npublic ArrayHashMap()\n{\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nbucket = new();\nfor (int i = 0; i &lt; 100; i++)\n{\nbucket.Add(null);\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate int hashFunc(int key)\n{\nint index = key % 100;\nreturn index;\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\npublic String? get(int key)\n{\nint index = hashFunc(key);\nEntry? pair = bucket[index];\nif (pair == null) return null;\nreturn pair.val;\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\npublic void put(int key, String val)\n{\nEntry pair = new Entry(key, val);\nint index = hashFunc(key);\nbucket[index] = pair;\n}\n/* \u5220\u9664\u64cd\u4f5c */\npublic void remove(int key)\n{\nint index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = null;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\npublic List&lt;Entry&gt; entrySet()\n{\nList&lt;Entry&gt; entrySet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nentrySet.Add(pair);\n}\nreturn entrySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\npublic List&lt;int&gt; keySet()\n{\nList&lt;int&gt; keySet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nkeySet.Add(pair.key);\n}\nreturn keySet;\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\npublic List&lt;String&gt; valueSet()\n{\nList&lt;String&gt; valueSet = new();\nforeach (Entry? pair in bucket)\n{\nif (pair != null)\nvalueSet.Add(pair.val);\n}\nreturn valueSet;\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\npublic void print()\n{\nforeach (Entry kv in entrySet())\n{\nConsole.WriteLine(kv.key + \" -&gt; \" + kv.val);\n}\n}\n}\n</code></pre> array_hash_map.swift<pre><code>/* \u952e\u503c\u5bf9 int-&gt;String */\nclass Entry {\nvar key: Int\nvar val: String\ninit(key: Int, val: String) {\nself.key = key\nself.val = val\n}\n}\n/* \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868 */\nclass ArrayHashMap {\nprivate var bucket: [Entry?] = []\ninit() {\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nfor _ in 0 ..&lt; 100 {\nbucket.append(nil)\n}\n}\n/* \u54c8\u5e0c\u51fd\u6570 */\nprivate func hashFunc(key: Int) -&gt; Int {\nlet index = key % 100\nreturn index\n}\n/* \u67e5\u8be2\u64cd\u4f5c */\nfunc get(key: Int) -&gt; String? {\nlet index = hashFunc(key: key)\nlet pair = bucket[index]\nreturn pair?.val\n}\n/* \u6dfb\u52a0\u64cd\u4f5c */\nfunc put(key: Int, val: String) {\nlet pair = Entry(key: key, val: val)\nlet index = hashFunc(key: key)\nbucket[index] = pair\n}\n/* \u5220\u9664\u64cd\u4f5c */\nfunc remove(key: Int) {\nlet index = hashFunc(key: key)\n// \u7f6e\u4e3a nil \uff0c\u4ee3\u8868\u5220\u9664\nbucket[index] = nil\n}\n/* \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9 */\nfunc entrySet() -&gt; [Entry] {\nvar entrySet: [Entry] = []\nfor pair in bucket {\nif let pair = pair {\nentrySet.append(pair)\n}\n}\nreturn entrySet\n}\n/* \u83b7\u53d6\u6240\u6709\u952e */\nfunc keySet() -&gt; [Int] {\nvar keySet: [Int] = []\nfor pair in bucket {\nif let pair = pair {\nkeySet.append(pair.key)\n}\n}\nreturn keySet\n}\n/* \u83b7\u53d6\u6240\u6709\u503c */\nfunc valueSet() -&gt; [String] {\nvar valueSet: [String] = []\nfor pair in bucket {\nif let pair = pair {\nvalueSet.append(pair.val)\n}\n}\nreturn valueSet\n}\n/* \u6253\u5370\u54c8\u5e0c\u8868 */\nfunc print() {\nfor entry in entrySet() {\nSwift.print(\"\\(entry.key) -&gt; \\(entry.val)\")\n}\n}\n}\n</code></pre> array_hash_map.zig<pre><code>// \u952e\u503c\u5bf9 int-&gt;String\nconst Entry = struct {\nkey: usize = undefined,\nval: []const u8 = undefined,\npub fn init(key: usize, val: []const u8) Entry {\nreturn Entry {\n.key = key,\n.val = val,\n};\n}\n};\n// \u57fa\u4e8e\u6570\u7ec4\u7b80\u6613\u5b9e\u73b0\u7684\u54c8\u5e0c\u8868\nfn ArrayHashMap(comptime T: type) type {\nreturn struct {\nbucket: ?std.ArrayList(?T) = null,\nmem_allocator: std.mem.Allocator = undefined,\nconst Self = @This();\n// \u6784\u9020\u65b9\u6cd5\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nself.mem_allocator = allocator;\n// \u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a 100 \u7684\u6876\uff08\u6570\u7ec4\uff09\nself.bucket = std.ArrayList(?T).init(self.mem_allocator);\nvar i: i32 = 0;\nwhile (i &lt; 100) : (i += 1) {\ntry self.bucket.?.append(null);\n}\n}\n// \u6790\u6784\u65b9\u6cd5\npub fn deinit(self: *Self) void {\nif (self.bucket != null) self.bucket.?.deinit();\n}\n// \u54c8\u5e0c\u51fd\u6570\nfn hashFunc(key: usize) usize {\nvar index = key % 100;\nreturn index;\n}\n// \u67e5\u8be2\u64cd\u4f5c\npub fn get(self: *Self, key: usize) []const u8 {\nvar index = hashFunc(key);\nvar pair = self.bucket.?.items[index];\nreturn pair.?.val;\n}\n// \u6dfb\u52a0\u64cd\u4f5c\npub fn put(self: *Self, key: usize, val: []const u8) !void {\nvar pair = Entry.init(key, val);\nvar index = hashFunc(key);\nself.bucket.?.items[index] = pair;\n}\n// \u5220\u9664\u64cd\u4f5c\npub fn remove(self: *Self, key: usize) !void {\nvar index = hashFunc(key);\n// \u7f6e\u4e3a null \uff0c\u4ee3\u8868\u5220\u9664\nself.bucket.?.items[index] = null;\n}       // \u83b7\u53d6\u6240\u6709\u952e\u503c\u5bf9\npub fn entrySet(self: *Self) !*std.ArrayList(T) {\nvar entry_set = std.ArrayList(T).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry entry_set.append(item.?);\n}\nreturn &amp;entry_set;\n}  // \u83b7\u53d6\u6240\u6709\u952e\npub fn keySet(self: *Self) !*std.ArrayList(usize) {\nvar key_set = std.ArrayList(usize).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry key_set.append(item.?.key);\n}\nreturn &amp;key_set;\n}  // \u83b7\u53d6\u6240\u6709\u503c\npub fn valueSet(self: *Self) !*std.ArrayList([]const u8) {\nvar value_set = std.ArrayList([]const u8).init(self.mem_allocator);\nfor (self.bucket.?.items) |item| {\nif (item == null) continue;\ntry value_set.append(item.?.val);\n}\nreturn &amp;value_set;\n}\n// \u6253\u5370\u54c8\u5e0c\u8868\npub fn print(self: *Self) !void {\nvar entry_set = try self.entrySet();\ndefer entry_set.deinit();\nfor (entry_set.items) |item| {\nstd.debug.print(\"{} -&gt; {s}\\n\", .{item.key, item.val});\n}\n}\n};\n}\n</code></pre>"},{"location":"chapter_hashing/hash_map/#614","title":"6.1.4. \u54c8\u5e0c\u51b2\u7a81","text":"<p>\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u4f1a\u53d1\u73b0\uff0c\u54c8\u5e0c\u51fd\u6570 \\(f(x) = x \\% 100\\) \u4f1a\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u5931\u6548\u3002\u5177\u4f53\u5730\uff0c\u5f53\u8f93\u5165\u7684 key \u540e\u4e24\u4f4d\u76f8\u540c\u65f6\uff0c\u54c8\u5e0c\u51fd\u6570\u7684\u8ba1\u7b97\u7ed3\u679c\u4e5f\u76f8\u540c\uff0c\u6307\u5411\u540c\u4e00\u4e2a value \u3002\u4f8b\u5982\uff0c\u5206\u522b\u67e5\u8be2\u4e24\u4e2a\u5b66\u53f7 \\(12836\\) \u548c \\(20336\\) \uff0c\u5219\u6709</p> \\[ f(12836) = f(20336) = 36 \\] <p>\u4e24\u4e2a\u5b66\u53f7\u6307\u5411\u4e86\u540c\u4e00\u4e2a\u59d3\u540d\uff0c\u8fd9\u660e\u663e\u662f\u4e0d\u5bf9\u7684\uff0c\u6211\u4eec\u5c06\u8fd9\u79cd\u73b0\u8c61\u79f0\u4e3a\u300c\u54c8\u5e0c\u51b2\u7a81 Hash Collision\u300d\u3002\u5982\u4f55\u907f\u514d\u54c8\u5e0c\u51b2\u7a81\u7684\u95ee\u9898\u5c06\u88ab\u7559\u5728\u4e0b\u7ae0\u8ba8\u8bba\u3002</p> <p></p> <p> Fig. \u54c8\u5e0c\u51b2\u7a81 </p> <p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u4e00\u4e2a\u4f18\u79c0\u7684\u300c\u54c8\u5e0c\u51fd\u6570\u300d\u5e94\u8be5\u5177\u5907\u4ee5\u4e0b\u7279\u6027\uff1a</p> <ul> <li>\u5c3d\u91cf\u5c11\u5730\u53d1\u751f\u54c8\u5e0c\u51b2\u7a81\uff1b</li> <li>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff0c\u8ba1\u7b97\u5c3d\u53ef\u80fd\u9ad8\u6548\uff1b</li> <li>\u7a7a\u95f4\u4f7f\u7528\u7387\u9ad8\uff0c\u5373\u201c\u952e\u503c\u5bf9\u5360\u7528\u7a7a\u95f4 / \u54c8\u5e0c\u8868\u603b\u5360\u7528\u7a7a\u95f4\u201d\u5c3d\u53ef\u80fd\u5927\uff1b</li> </ul>"},{"location":"chapter_hashing/summary/","title":"6.3. \u5c0f\u7ed3","text":""},{"location":"chapter_heap/heap/","title":"8.1. \u5806","text":"<p>\u300c\u5806 Heap\u300d\u662f\u4e00\u68f5\u9650\u5b9a\u6761\u4ef6\u4e0b\u7684\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u3002\u6839\u636e\u6210\u7acb\u6761\u4ef6\uff0c\u5806\u4e3b\u8981\u5206\u4e3a\u4e24\u79cd\u7c7b\u578b\uff1a</p> <ul> <li>\u300c\u5927\u9876\u5806 Max Heap\u300d\uff0c\u4efb\u610f\u7ed3\u70b9\u7684\u503c \\(\\geq\\) \u5176\u5b50\u7ed3\u70b9\u7684\u503c\uff1b</li> <li>\u300c\u5c0f\u9876\u5806 Min Heap\u300d\uff0c\u4efb\u610f\u7ed3\u70b9\u7684\u503c \\(\\leq\\) \u5176\u5b50\u7ed3\u70b9\u7684\u503c\uff1b</li> </ul> <p></p>"},{"location":"chapter_heap/heap/#811","title":"8.1.1. \u5806\u672f\u8bed\u4e0e\u6027\u8d28","text":"<ul> <li>\u7531\u4e8e\u5806\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u56e0\u6b64\u6700\u5e95\u5c42\u7ed3\u70b9\u9760\u5de6\u586b\u5145\uff0c\u5176\u5b83\u5c42\u7ed3\u70b9\u7686\u88ab\u586b\u6ee1\u3002</li> <li>\u4e8c\u53c9\u6811\u4e2d\u7684\u6839\u7ed3\u70b9\u5bf9\u5e94\u300c\u5806\u9876\u300d\uff0c\u5e95\u5c42\u6700\u9760\u53f3\u7ed3\u70b9\u5bf9\u5e94\u300c\u5806\u5e95\u300d\u3002</li> <li>\u5bf9\u4e8e\u5927\u9876\u5806 / \u5c0f\u9876\u5806\uff0c\u5176\u5806\u9876\u5143\u7d20\uff08\u5373\u6839\u7ed3\u70b9\uff09\u7684\u503c\u6700\u5927 / \u6700\u5c0f\u3002</li> </ul>"},{"location":"chapter_heap/heap/#812","title":"8.1.2. \u5806\u5e38\u7528\u64cd\u4f5c","text":"<p>\u503c\u5f97\u8bf4\u660e\u7684\u662f\uff0c\u591a\u6570\u7f16\u7a0b\u8bed\u8a00\u63d0\u4f9b\u7684\u662f\u300c\u4f18\u5148\u961f\u5217 Priority Queue\u300d\uff0c\u5176\u662f\u4e00\u79cd\u62bd\u8c61\u6570\u636e\u7ed3\u6784\uff0c\u5b9a\u4e49\u4e3a\u5177\u6709\u51fa\u961f\u4f18\u5148\u7ea7\u7684\u961f\u5217\u3002</p> <p>\u800c\u6070\u597d\uff0c\u5806\u7684\u5b9a\u4e49\u4e0e\u4f18\u5148\u961f\u5217\u7684\u64cd\u4f5c\u903b\u8f91\u5b8c\u5168\u543b\u5408\uff0c\u5927\u9876\u5806\u5c31\u662f\u4e00\u4e2a\u5143\u7d20\u4ece\u5927\u5230\u5c0f\u51fa\u961f\u7684\u4f18\u5148\u961f\u5217\u3002\u4ece\u4f7f\u7528\u89d2\u5ea6\u770b\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u300c\u4f18\u5148\u961f\u5217\u300d\u548c\u300c\u5806\u300d\u7406\u89e3\u4e3a\u7b49\u4ef7\u7684\u6570\u636e\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u672c\u6587\u4e0e\u4ee3\u7801\u5bf9\u4e24\u8005\u4e0d\u505a\u7279\u522b\u533a\u5206\uff0c\u7edf\u4e00\u4f7f\u7528\u300c\u5806\u300d\u6765\u547d\u540d\u3002</p> <p>\u5806\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff08\u65b9\u6cd5\u547d\u540d\u4ee5 Java \u4e3a\u4f8b\uff09\u3002</p> <p> Table. \u5806\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5 \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 add() \u5143\u7d20\u5165\u5806 \\(O(\\log n)\\) poll() \u5806\u9876\u5143\u7d20\u51fa\u5806 \\(O(\\log n)\\) peek() \u8bbf\u95ee\u5806\u9876\u5143\u7d20\uff08\u5927 / \u5c0f\u9876\u5806\u5206\u522b\u4e3a\u6700\u5927 / \u5c0f\u503c\uff09 \\(O(1)\\) size() \u83b7\u53d6\u5806\u7684\u5143\u7d20\u6570\u91cf \\(O(1)\\) isEmpty() \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u63d0\u4f9b\u7684\u5806\u7c7b\uff08\u6216\u4f18\u5148\u961f\u5217\u7c7b\uff09\u3002</p> <p>Tip</p> <p>\u7c7b\u4f3c\u4e8e\u6392\u5e8f\u4e2d\u201c\u4ece\u5c0f\u5230\u5927\u6392\u5217\u201d\u548c\u201c\u4ece\u5927\u5230\u5c0f\u6392\u5217\u201d\uff0c\u201c\u5927\u9876\u5806\u201d\u548c\u201c\u5c0f\u9876\u5806\u201d\u53ef\u4ec5\u901a\u8fc7\u4fee\u6539 Comparator \u6765\u4e92\u76f8\u8f6c\u6362\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig heap.java<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\nQueue&lt;Integer&gt; minHeap = new PriorityQueue&lt;&gt;();\n// \u521d\u59cb\u5316\u5927\u9876\u5806\uff08\u4f7f\u7528 lambda \u8868\u8fbe\u5f0f\u4fee\u6539 Comparator \u5373\u53ef\uff09\nQueue&lt;Integer&gt; maxHeap = new PriorityQueue&lt;&gt;((a, b) -&gt; { return b - a; });\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.add(1);\nmaxHeap.add(3);\nmaxHeap.add(2);\nmaxHeap.add(5);\nmaxHeap.add(4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.peek(); // 5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\npeek = heap.poll();  // 5\npeek = heap.poll();  // 4\npeek = heap.poll();  // 3\npeek = heap.poll();  // 2\npeek = heap.poll();  // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.size();\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = maxHeap.isEmpty();\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nminHeap = new PriorityQueue&lt;&gt;(Arrays.asList(1, 3, 2, 5, 4));\n</code></pre> heap.cpp<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\npriority_queue&lt;int, vector&lt;int&gt;, greater&lt;int&gt;&gt; minHeap;\n// \u521d\u59cb\u5316\u5927\u9876\u5806\npriority_queue&lt;int, vector&lt;int&gt;, less&lt;int&gt;&gt; maxHeap;\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.push(1);\nmaxHeap.push(3);\nmaxHeap.push(2);\nmaxHeap.push(5);\nmaxHeap.push(4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.top(); // 5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\nmaxHeap.pop(); // 5\nmaxHeap.pop(); // 4\nmaxHeap.pop(); // 3\nmaxHeap.pop(); // 2\nmaxHeap.pop(); // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.size();\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = maxHeap.empty();\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nvector&lt;int&gt; input{1, 3, 2, 5, 4};\npriority_queue&lt;int, vector&lt;int&gt;, greater&lt;int&gt;&gt; minHeap(input.begin(), input.end());\n</code></pre> heap.py<pre><code>\n</code></pre> heap.go<pre><code>// Go \u8bed\u8a00\u4e2d\u53ef\u4ee5\u901a\u8fc7\u5b9e\u73b0 heap.Interface \u6765\u6784\u5efa\u6574\u6570\u5927\u9876\u5806\n// \u5b9e\u73b0 heap.Interface \u9700\u8981\u540c\u65f6\u5b9e\u73b0 sort.Interface\ntype intHeap []any\n// Push heap.Interface \u7684\u65b9\u6cd5\uff0c\u5b9e\u73b0\u63a8\u5165\u5143\u7d20\u5230\u5806\nfunc (h *intHeap) Push(x any) {\n// Push \u548c Pop \u4f7f\u7528 pointer receiver \u4f5c\u4e3a\u53c2\u6570\n// \u56e0\u4e3a\u5b83\u4eec\u4e0d\u4ec5\u4f1a\u5bf9\u5207\u7247\u7684\u5185\u5bb9\u8fdb\u884c\u8c03\u6574\uff0c\u8fd8\u4f1a\u4fee\u6539\u5207\u7247\u7684\u957f\u5ea6\u3002\n*h = append(*h, x.(int))\n}\n// Pop heap.Interface \u7684\u65b9\u6cd5\uff0c\u5b9e\u73b0\u5f39\u51fa\u5806\u9876\u5143\u7d20\nfunc (h *intHeap) Pop() any {\n// \u5f85\u51fa\u5806\u5143\u7d20\u5b58\u653e\u5728\u6700\u540e\nlast := (*h)[len(*h)-1]\n*h = (*h)[:len(*h)-1]\nreturn last\n}\n// Len sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Len() int {\nreturn len(*h)\n}\n// Less sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Less(i, j int) bool {\n// \u5982\u679c\u5b9e\u73b0\u5c0f\u9876\u5806\uff0c\u5219\u9700\u8981\u8c03\u6574\u4e3a\u5c0f\u4e8e\u53f7\nreturn (*h)[i].(int) &gt; (*h)[j].(int)\n}\n// Swap sort.Interface \u7684\u65b9\u6cd5\nfunc (h *intHeap) Swap(i, j int) {\n(*h)[i], (*h)[j] = (*h)[j], (*h)[i]\n}\n// Top \u83b7\u53d6\u5806\u9876\u5143\u7d20\nfunc (h *intHeap) Top() any {\nreturn (*h)[0]\n}\n/* Driver Code */\nfunc TestHeap(t *testing.T) {\n/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5927\u9876\u5806\nmaxHeap := &amp;intHeap{}\nheap.Init(maxHeap)\n/* \u5143\u7d20\u5165\u5806 */\n// \u8c03\u7528 heap.Interface \u7684\u65b9\u6cd5\uff0c\u6765\u6dfb\u52a0\u5143\u7d20\nheap.Push(maxHeap, 1)\nheap.Push(maxHeap, 3)\nheap.Push(maxHeap, 2)\nheap.Push(maxHeap, 4)\nheap.Push(maxHeap, 5)\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\ntop := maxHeap.Top()\nfmt.Printf(\"\u5806\u9876\u5143\u7d20\u4e3a %d\\n\", top)\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u8c03\u7528 heap.Interface \u7684\u65b9\u6cd5\uff0c\u6765\u79fb\u9664\u5143\u7d20\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\nheap.Pop(maxHeap)\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nsize := len(*maxHeap)\nfmt.Printf(\"\u5806\u5143\u7d20\u6570\u91cf\u4e3a %d\\n\", size)\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nisEmpty := len(*maxHeap) == 0\nfmt.Printf(\"\u5806\u662f\u5426\u4e3a\u7a7a %t\\n\", isEmpty)\n}\n</code></pre> heap.js<pre><code>// JavaScript \u672a\u63d0\u4f9b\u5185\u7f6e heap \u7c7b\n</code></pre> heap.ts<pre><code>// TypeScript \u672a\u63d0\u4f9b\u5185\u7f6e\u5806 Heap \u7c7b\n</code></pre> heap.c<pre><code>\n</code></pre> heap.cs<pre><code>/* \u521d\u59cb\u5316\u5806 */\n// \u521d\u59cb\u5316\u5c0f\u9876\u5806\nPriorityQueue&lt;int, int&gt; minHeap = new PriorityQueue&lt;int, int&gt;();\n// \u521d\u59cb\u5316\u5927\u9876\u5806\uff08\u4f7f\u7528 lambda \u8868\u8fbe\u5f0f\u4fee\u6539 Comparator \u5373\u53ef\uff09\nPriorityQueue&lt;int, int&gt; maxHeap = new PriorityQueue&lt;int, int&gt;(Comparer&lt;int&gt;.Create((x, y) =&gt; y - x));\n/* \u5143\u7d20\u5165\u5806 */\nmaxHeap.Enqueue(1, 1);\nmaxHeap.Enqueue(3, 3);\nmaxHeap.Enqueue(2, 2);\nmaxHeap.Enqueue(5, 5);\nmaxHeap.Enqueue(4, 4);\n/* \u83b7\u53d6\u5806\u9876\u5143\u7d20 */\nint peek = maxHeap.Peek();//5\n/* \u5806\u9876\u5143\u7d20\u51fa\u5806 */\n// \u51fa\u5806\u5143\u7d20\u4f1a\u5f62\u6210\u4e00\u4e2a\u4ece\u5927\u5230\u5c0f\u7684\u5e8f\u5217\npeek = maxHeap.Dequeue();  // 5\npeek = maxHeap.Dequeue();  // 4\npeek = maxHeap.Dequeue();  // 3\npeek = maxHeap.Dequeue();  // 2\npeek = maxHeap.Dequeue();  // 1\n/* \u83b7\u53d6\u5806\u5927\u5c0f */\nint size = maxHeap.Count;\n/* \u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = maxHeap.Count == 0;\n/* \u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806 */\nminHeap = new PriorityQueue&lt;int, int&gt;(new List&lt;(int, int)&gt; { (1, 1), (3, 3), (2, 2), (5, 5), (4, 4), });\n</code></pre> heap.swift<pre><code>// Swift \u672a\u63d0\u4f9b\u5185\u7f6e heap \u7c7b\n</code></pre> heap.zig<pre><code>\n</code></pre>"},{"location":"chapter_heap/heap/#813","title":"8.1.3. \u5806\u7684\u5b9e\u73b0","text":"<p>\u4e0b\u6587\u5b9e\u73b0\u7684\u662f\u300c\u5927\u9876\u5806\u300d\uff0c\u82e5\u60f3\u8f6c\u6362\u4e3a\u300c\u5c0f\u9876\u5806\u300d\uff0c\u5c06\u6240\u6709\u5927\u5c0f\u903b\u8f91\u5224\u65ad\u53d6\u9006\uff08\u4f8b\u5982\u5c06 \\(\\geq\\) \u66ff\u6362\u4e3a \\(\\leq\\) \uff09\u5373\u53ef\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u81ea\u884c\u5b9e\u73b0\u3002</p>"},{"location":"chapter_heap/heap/#_1","title":"\u5806\u7684\u5b58\u50a8\u4e0e\u8868\u793a","text":"<p>\u5728\u4e8c\u53c9\u6811\u7ae0\u8282\u6211\u4eec\u5b66\u8fc7\uff0c\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u975e\u5e38\u9002\u5408\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u6765\u8868\u793a\uff0c\u800c\u5806\u6070\u597d\u662f\u4e00\u68f5\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u56e0\u800c\u6211\u4eec\u91c7\u7528\u300c\u6570\u7ec4\u300d\u6765\u5b58\u50a8\u300c\u5806\u300d\u3002</p> <p>\u4e8c\u53c9\u6811\u6307\u9488\u3002\u4f7f\u7528\u6570\u7ec4\u8868\u793a\u4e8c\u53c9\u6811\u65f6\uff0c\u5143\u7d20\u4ee3\u8868\u7ed3\u70b9\u503c\uff0c\u7d22\u5f15\u4ee3\u8868\u7ed3\u70b9\u5728\u4e8c\u53c9\u6811\u4e2d\u7684\u4f4d\u7f6e\uff0c\u800c\u7ed3\u70b9\u6307\u9488\u901a\u8fc7\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u6765\u5b9e\u73b0\u3002</p> <p>\u5177\u4f53\u5730\uff0c\u7ed9\u5b9a\u7d22\u5f15 \\(i\\) \uff0c\u90a3\u4e48\u5176\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 1\\) \u3001\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 2\\) \u3001\u7236\u7ed3\u70b9\u7d22\u5f15\u4e3a \\((i - 1) / 2\\) \uff08\u5411\u4e0b\u6574\u9664\uff09\u3002\u5f53\u7d22\u5f15\u8d8a\u754c\u65f6\uff0c\u4ee3\u8868\u7a7a\u7ed3\u70b9\u6216\u7ed3\u70b9\u4e0d\u5b58\u5728\u3002</p> <p></p> <p>\u6211\u4eec\u5c06\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u5c01\u88c5\u6210\u51fd\u6570\uff0c\u4ee5\u4fbf\u540e\u7eed\u4f7f\u7528\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i) {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i) {\nreturn (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.cpp<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i) {\nreturn 2 * i + 2;\n} /* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i) {\nreturn (i - 1) / 2; // \u5411\u4e0b\u53d6\u6574\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) left(i int) int {\nreturn 2*i + 1\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) right(i int) int {\nreturn 2*i + 2\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nfunc (h *maxHeap) parent(i int) int {\n// \u5411\u4e0b\u6574\u9664\nreturn (i - 1) / 2\n}\n</code></pre> my_heap.js<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\n#left(i) {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\n#right(i) {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\n#parent(i) {\nreturn Math.floor((i - 1) / 2); // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.ts<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nleft(i: number): number {\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nright(i: number): number {\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nparent(i: number): number {\nreturn Math.floor((i - 1) / 2); // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{left}\n[class]{maxHeap}-[func]{right}\n[class]{maxHeap}-[func]{parent}\n</code></pre> my_heap.cs<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint left(int i)\n{\nreturn 2 * i + 1;\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nint right(int i)\n{\nreturn 2 * i + 2;\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nint parent(int i)\n{\nreturn (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.swift<pre><code>/* \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc left(i: Int) -&gt; Int {\n2 * i + 1\n}\n/* \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15 */\nfunc right(i: Int) -&gt; Int {\n2 * i + 2\n}\n/* \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15 */\nfunc parent(i: Int) -&gt; Int {\n(i - 1) / 2 // \u5411\u4e0b\u6574\u9664\n}\n</code></pre> my_heap.zig<pre><code>// \u83b7\u53d6\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\nfn left(i: usize) usize {\nreturn 2 * i + 1;\n}\n// \u83b7\u53d6\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\nfn right(i: usize) usize {\nreturn 2 * i + 2;\n}\n// \u83b7\u53d6\u7236\u7ed3\u70b9\u7d22\u5f15\nfn parent(i: usize) usize {\n// return (i - 1) / 2; // \u5411\u4e0b\u6574\u9664\nreturn @divFloor(i - 1, 2);\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_2","title":"\u8bbf\u95ee\u5806\u9876\u5143\u7d20","text":"<p>\u5806\u9876\u5143\u7d20\u662f\u4e8c\u53c9\u6811\u7684\u6839\u7ed3\u70b9\uff0c\u5373\u5217\u8868\u9996\u5143\u7d20\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek() {\nreturn maxHeap.get(0);\n}\n</code></pre> my_heap.cpp<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek() {\nreturn maxHeap[0];\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nfunc (h *maxHeap) peek() any {\nreturn h.data[0]\n}\n</code></pre> my_heap.js<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\npeek() {\nreturn this.#maxHeap[0];\n}\n</code></pre> my_heap.ts<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\npeek(): number {\nreturn this.maxHeap[0];\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{peek}\n</code></pre> my_heap.cs<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nint peek()\n{\nreturn maxHeap[0];\n}\n</code></pre> my_heap.swift<pre><code>/* \u8bbf\u95ee\u5806\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nmaxHeap[0]\n}\n</code></pre> my_heap.zig<pre><code>// \u8bbf\u95ee\u5806\u9876\u5143\u7d20\nfn peek(self: *Self) T {\nreturn self.maxHeap.?.items[0];\n}  </code></pre>"},{"location":"chapter_heap/heap/#_3","title":"\u5143\u7d20\u5165\u5806","text":"<p>\u7ed9\u5b9a\u5143\u7d20 <code>val</code> \uff0c\u6211\u4eec\u5148\u5c06\u5176\u6dfb\u52a0\u5230\u5806\u5e95\u3002\u6dfb\u52a0\u540e\uff0c\u7531\u4e8e <code>val</code> \u53ef\u80fd\u5927\u4e8e\u5806\u4e2d\u5176\u5b83\u5143\u7d20\uff0c\u6b64\u65f6\u5806\u7684\u6210\u7acb\u6761\u4ef6\u53ef\u80fd\u5df2\u7ecf\u88ab\u7834\u574f\uff0c\u56e0\u6b64\u9700\u8981\u4fee\u590d\u4ece\u63d2\u5165\u7ed3\u70b9\u5230\u6839\u7ed3\u70b9\u8fd9\u6761\u8def\u5f84\u4e0a\u7684\u5404\u4e2a\u7ed3\u70b9\uff0c\u8be5\u64cd\u4f5c\u88ab\u79f0\u4e3a\u300c\u5806\u5316 Heapify\u300d\u3002</p> <p>\u8003\u8651\u4ece\u5165\u5806\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u6267\u884c\u5806\u5316\u3002\u5177\u4f53\u5730\uff0c\u6bd4\u8f83\u63d2\u5165\u7ed3\u70b9\u4e0e\u5176\u7236\u7ed3\u70b9\u7684\u503c\uff0c\u82e5\u63d2\u5165\u7ed3\u70b9\u66f4\u5927\u5219\u5c06\u5b83\u4eec\u4ea4\u6362\uff1b\u5e76\u5faa\u73af\u4ee5\u4e0a\u64cd\u4f5c\uff0c\u4ece\u5e95\u81f3\u9876\u5730\u4fee\u590d\u5806\u4e2d\u7684\u5404\u4e2a\u7ed3\u70b9\uff1b\u76f4\u81f3\u8d8a\u8fc7\u6839\u7ed3\u70b9\u65f6\u7ed3\u675f\uff0c\u6216\u5f53\u9047\u5230\u65e0\u9700\u4ea4\u6362\u7684\u7ed3\u70b9\u65f6\u63d0\u524d\u7ed3\u675f\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u8bbe\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u6811\u7684\u9ad8\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u6613\u5f97\u5806\u5316\u64cd\u4f5c\u7684\u5faa\u73af\u8f6e\u6570\u6700\u591a\u4e3a \\(O(\\log n)\\) \uff0c\u56e0\u800c\u5143\u7d20\u5165\u5806\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.add(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p = parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap.get(i) &lt;= maxHeap.get(p))\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.push_back(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p =  parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap[i] &lt;= maxHeap[p])\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(maxHeap[i], maxHeap[p]);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u5143\u7d20\u5165\u5806 */\nfunc (h *maxHeap) push(val any) {\n// \u6dfb\u52a0\u7ed3\u70b9\nh.data = append(h.data, val)\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nh.siftUp(len(h.data) - 1)\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nfunc (h *maxHeap) siftUp(i int) {\nfor true {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\np := h.parent(i)\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif p &lt; 0 || h.data[i].(int) &lt;= h.data[p].(int) {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nh.swap(i, p)\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p\n}\n}\n</code></pre> my_heap.js<pre><code>/* \u5143\u7d20\u5165\u5806 */\npush(val) {\n// \u6dfb\u52a0\u7ed3\u70b9\nthis.#maxHeap.push(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nthis.#siftUp(this.size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\n#siftUp(i) {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nconst p = this.#parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || this.#maxHeap[i] &lt;= this.#maxHeap[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.#swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u5143\u7d20\u5165\u5806 */\npush(val: number): void {\n// \u6dfb\u52a0\u7ed3\u70b9\nthis.maxHeap.push(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nthis.siftUp(this.size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nsiftUp(i: number): void {\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nconst p = this.parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || this.maxHeap[i] &lt;= this.maxHeap[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{push}\n[class]{maxHeap}-[func]{siftUp}\n</code></pre> my_heap.cs<pre><code>/* \u5143\u7d20\u5165\u5806 */\nvoid push(int val)\n{\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.Add(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(size() - 1);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nvoid siftUp(int i)\n{\nwhile (true)\n{\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nint p = parent(i);\n// \u82e5\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\uff0c\u5219\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 || maxHeap[i] &lt;= maxHeap[p])\nbreak;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u5143\u7d20\u5165\u5806 */\nfunc push(val: Int) {\n// \u6dfb\u52a0\u7ed3\u70b9\nmaxHeap.append(val)\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\nsiftUp(i: size() - 1)\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316 */\nfunc siftUp(i: Int) {\nvar i = i\nwhile true {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nlet p = parent(i: i)\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif p &lt; 0 || maxHeap[i] &lt;= maxHeap[p] {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i: i, j: p)\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u5143\u7d20\u5165\u5806\nfn push(self: *Self, val: T) !void {\n// \u6dfb\u52a0\u7ed3\u70b9\ntry self.maxHeap.?.append(val);\n// \u4ece\u5e95\u81f3\u9876\u5806\u5316\ntry self.siftUp(self.size() - 1);\n}  // \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5806\u5316\nfn siftUp(self: *Self, i_: usize) !void {\nvar i = i_;\nwhile (true) {\n// \u83b7\u53d6\u7ed3\u70b9 i \u7684\u7236\u7ed3\u70b9\nvar p = parent(i);\n// \u5f53\u201c\u8d8a\u8fc7\u6839\u7ed3\u70b9\u201d\u6216\u201c\u7ed3\u70b9\u65e0\u9700\u4fee\u590d\u201d\u65f6\uff0c\u7ed3\u675f\u5806\u5316\nif (p &lt; 0 or self.maxHeap.?.items[i] &lt;= self.maxHeap.?.items[p]) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\ntry self.swap(i, p);\n// \u5faa\u73af\u5411\u4e0a\u5806\u5316\ni = p;\n}\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_4","title":"\u5806\u9876\u5143\u7d20\u51fa\u5806","text":"<p>\u5806\u9876\u5143\u7d20\u662f\u4e8c\u53c9\u6811\u6839\u7ed3\u70b9\uff0c\u5373\u5217\u8868\u9996\u5143\u7d20\uff0c\u5982\u679c\u6211\u4eec\u76f4\u63a5\u5c06\u9996\u5143\u7d20\u4ece\u5217\u8868\u4e2d\u5220\u9664\uff0c\u5219\u4e8c\u53c9\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u90fd\u4f1a\u968f\u4e4b\u53d1\u751f\u79fb\u4f4d\uff08\u7d22\u5f15\u53d1\u751f\u53d8\u5316\uff09\uff0c\u8fd9\u6837\u540e\u7eed\u4f7f\u7528\u5806\u5316\u4fee\u590d\u5c31\u5f88\u9ebb\u70e6\u4e86\u3002\u4e3a\u4e86\u5c3d\u91cf\u51cf\u5c11\u5143\u7d20\u7d22\u5f15\u53d8\u52a8\uff0c\u91c7\u53d6\u4ee5\u4e0b\u64cd\u4f5c\u6b65\u9aa4\uff1a</p> <ol> <li>\u4ea4\u6362\u5806\u9876\u5143\u7d20\u4e0e\u5806\u5e95\u5143\u7d20\uff08\u5373\u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff09\uff1b</li> <li>\u4ea4\u6362\u5b8c\u6210\u540e\uff0c\u5c06\u5806\u5e95\u4ece\u5217\u8868\u4e2d\u5220\u9664\uff08\u6ce8\u610f\uff0c\u56e0\u4e3a\u5df2\u7ecf\u4ea4\u6362\uff0c\u5b9e\u9645\u4e0a\u5220\u9664\u7684\u662f\u539f\u6765\u7684\u5806\u9876\u5143\u7d20\uff09\uff1b</li> <li>\u4ece\u6839\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u6267\u884c\u5806\u5316\uff1b</li> </ol> <p>\u987e\u540d\u601d\u4e49\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316\u7684\u64cd\u4f5c\u65b9\u5411\u4e0e\u4ece\u5e95\u81f3\u9876\u5806\u5316\u76f8\u53cd\uff0c\u6211\u4eec\u6bd4\u8f83\u6839\u7ed3\u70b9\u7684\u503c\u4e0e\u5176\u4e24\u4e2a\u5b50\u7ed3\u70b9\u7684\u503c\uff0c\u5c06\u6700\u5927\u7684\u5b50\u7ed3\u70b9\u4e0e\u6839\u7ed3\u70b9\u6267\u884c\u4ea4\u6362\uff0c\u5e76\u5faa\u73af\u4ee5\u4e0a\u64cd\u4f5c\uff0c\u76f4\u5230\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u65f6\u7ed3\u675f\uff0c\u6216\u5f53\u9047\u5230\u65e0\u9700\u4ea4\u6362\u7684\u7ed3\u70b9\u65f6\u63d0\u524d\u7ed3\u675f\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4e0e\u5143\u7d20\u5165\u5806\u64cd\u4f5c\u7c7b\u4f3c\uff0c\u5806\u9876\u5143\u7d20\u51fa\u5806\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nint poll() {\n// \u5224\u7a7a\u5904\u7406\nif (isEmpty())\nthrow new EmptyStackException();\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(0, size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nint val = maxHeap.remove(size() - 1);\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\nif (l &lt; size() &amp;&amp; maxHeap.get(l) &gt; maxHeap.get(ma))\nma = l;\nif (r &lt; size() &amp;&amp; maxHeap.get(r) &gt; maxHeap.get(ma))\nma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nvoid poll() {\n// \u5224\u7a7a\u5904\u7406\nif (empty()) {\nthrow out_of_range(\"\u5806\u4e3a\u7a7a\");\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(maxHeap[0], maxHeap[size() - 1]);\n// \u5220\u9664\u7ed3\u70b9\nmaxHeap.pop_back();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (l &lt; size() &amp;&amp; maxHeap[l] &gt; maxHeap[ma]) ma = l;\nif (r &lt; size() &amp;&amp; maxHeap[r] &gt; maxHeap[ma])\nma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\nswap(maxHeap[i], maxHeap[ma]);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nfunc (h *maxHeap) poll() any {\n// \u5224\u7a7a\u5904\u7406\nif h.isEmpty() {\nfmt.Println(\"error\")\nreturn nil\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nh.swap(0, h.size()-1)\n// \u5220\u9664\u7ed3\u70b9\nval := h.data[len(h.data)-1]\nh.data = h.data[:len(h.data)-1]\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nh.siftDown(0)\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nfunc (h *maxHeap) siftDown(i int) {\nfor true {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a max\nl, r, max := h.left(i), h.right(i), i\nif l &lt; h.size() &amp;&amp; h.data[l].(int) &gt; h.data[max].(int) {\nmax = l\n}\nif r &lt; h.size() &amp;&amp; h.data[r].(int) &gt; h.data[max].(int) {\nmax = r\n}\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif max == i {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nh.swap(i, max)\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = max\n}\n}\n</code></pre> my_heap.js<pre><code>/* \u5143\u7d20\u51fa\u5806 */\npoll() {\n// \u5224\u7a7a\u5904\u7406\nif (this.isEmpty()) throw new Error(\"\u5806\u4e3a\u7a7a\");\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nthis.#swap(0, this.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nconst val = this.#maxHeap.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nthis.#siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\n#siftDown(i) {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nconst l = this.#left(i),\nr = this.#right(i);\nlet ma = i;\nif (l &lt; this.size() &amp;&amp; this.#maxHeap[l] &gt; this.#maxHeap[ma]) ma = l;\nif (r &lt; this.size() &amp;&amp; this.#maxHeap[r] &gt; this.#maxHeap[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.#swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u5143\u7d20\u51fa\u5806 */\npoll(): number {\n// \u5224\u7a7a\u5904\u7406\nif (this.isEmpty()) throw new RangeError(\"Heap is empty.\");\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nthis.swap(0, this.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nconst val = this.maxHeap.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nthis.siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nsiftDown(i: number): void {\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nconst l = this.left(i), r = this.right(i);\nlet ma = i;\nif (l &lt; this.size() &amp;&amp; this.maxHeap[l] &gt; this.maxHeap[ma]) ma = l;\nif (r &lt; this.size() &amp;&amp; this.maxHeap[r] &gt; this.maxHeap[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nthis.swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{poll}\n[class]{maxHeap}-[func]{siftDown}\n</code></pre> my_heap.cs<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nint poll()\n{\n// \u5224\u7a7a\u5904\u7406\nif (isEmpty())\nthrow new IndexOutOfRangeException();\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(0, size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nint val = maxHeap.Last();\nmaxHeap.RemoveAt(size() - 1);\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nvoid siftDown(int i)\n{\nwhile (true)\n{\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nint l = left(i), r = right(i), ma = i;\nif (l &lt; size() &amp;&amp; maxHeap[l] &gt; maxHeap[ma])\nma = l;\nif (r &lt; size() &amp;&amp; maxHeap[r] &gt; maxHeap[ma])\nma = r;\n// \u82e5\u201c\u7ed3\u70b9 i \u6700\u5927\u201d\u6216\u201c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u201d\uff0c\u5219\u7ed3\u675f\u5806\u5316\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u5143\u7d20\u51fa\u5806 */\nfunc poll() -&gt; Int {\n// \u5224\u7a7a\u5904\u7406\nif isEmpty() {\nfatalError(\"\u5806\u4e3a\u7a7a\")\n}\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\nswap(i: 0, j: size() - 1)\n// \u5220\u9664\u7ed3\u70b9\nlet val = maxHeap.remove(at: size() - 1)\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\nsiftDown(i: 0)\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val\n}\n/* \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316 */\nfunc siftDown(i: Int) {\nvar i = i\nwhile true {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nlet l = left(i: i)\nlet r = right(i: i)\nvar ma = i\nif l &lt; size(), maxHeap[l] &gt; maxHeap[ma] {\nma = l\n}\nif r &lt; size(), maxHeap[r] &gt; maxHeap[ma] {\nma = r\n}\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif ma == i {\nbreak\n}\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\nswap(i: i, j: ma)\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u5143\u7d20\u51fa\u5806\nfn poll(self: *Self) !T {\n// \u5224\u65ad\u5904\u7406\nif (self.isEmpty()) unreachable;\n// \u4ea4\u6362\u6839\u7ed3\u70b9\u4e0e\u6700\u53f3\u53f6\u7ed3\u70b9\uff08\u5373\u4ea4\u6362\u9996\u5143\u7d20\u4e0e\u5c3e\u5143\u7d20\uff09\ntry self.swap(0, self.size() - 1);\n// \u5220\u9664\u7ed3\u70b9\nvar val = self.maxHeap.?.pop();\n// \u4ece\u9876\u81f3\u5e95\u5806\u5316\ntry self.siftDown(0);\n// \u8fd4\u56de\u5806\u9876\u5143\u7d20\nreturn val;\n} // \u4ece\u7ed3\u70b9 i \u5f00\u59cb\uff0c\u4ece\u9876\u81f3\u5e95\u5806\u5316\nfn siftDown(self: *Self, i_: usize) !void {\nvar i = i_;\nwhile (true) {\n// \u5224\u65ad\u7ed3\u70b9 i, l, r \u4e2d\u503c\u6700\u5927\u7684\u7ed3\u70b9\uff0c\u8bb0\u4e3a ma\nvar l = left(i);\nvar r = right(i);\nvar ma = i;\nif (l &lt; self.size() and self.maxHeap.?.items[l] &gt; self.maxHeap.?.items[ma]) ma = l;\nif (r &lt; self.size() and self.maxHeap.?.items[r] &gt; self.maxHeap.?.items[ma]) ma = r;\n// \u82e5\u7ed3\u70b9 i \u6700\u5927\u6216\u7d22\u5f15 l, r \u8d8a\u754c\uff0c\u5219\u65e0\u9700\u7ee7\u7eed\u5806\u5316\uff0c\u8df3\u51fa\nif (ma == i) break;\n// \u4ea4\u6362\u4e24\u7ed3\u70b9\ntry self.swap(i, ma);\n// \u5faa\u73af\u5411\u4e0b\u5806\u5316\ni = ma;\n}\n}\n</code></pre>"},{"location":"chapter_heap/heap/#_5","title":"\u8f93\u5165\u6570\u636e\u5e76\u5efa\u5806 *","text":"<p>\u5982\u679c\u6211\u4eec\u60f3\u8981\u76f4\u63a5\u8f93\u5165\u4e00\u4e2a\u5217\u8868\u5e76\u5c06\u5176\u5efa\u5806\uff0c\u90a3\u4e48\u8be5\u600e\u4e48\u505a\u5462\uff1f\u6700\u76f4\u63a5\u5730\uff0c\u8003\u8651\u4f7f\u7528\u300c\u5143\u7d20\u5165\u5806\u300d\u65b9\u6cd5\uff0c\u5c06\u5217\u8868\u5143\u7d20\u4f9d\u6b21\u5165\u5806\u3002\u5143\u7d20\u5165\u5806\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u800c\u5e73\u5747\u957f\u5ea6\u4e3a \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u8be5\u65b9\u6cd5\u7684\u603b\u4f53\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \u3002</p> <p>\u7136\u800c\uff0c\u5b58\u5728\u4e00\u79cd\u66f4\u52a0\u4f18\u96c5\u7684\u5efa\u5806\u65b9\u6cd5\u3002\u8bbe\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u6211\u4eec\u5148\u5c06\u5217\u8868\u6240\u6709\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\uff0c\u7136\u540e\u8fed\u4ee3\u5730\u5bf9\u5404\u4e2a\u7ed3\u70b9\u6267\u884c\u300c\u4ece\u9876\u81f3\u5e95\u5806\u5316\u300d\u3002\u5f53\u7136\uff0c\u65e0\u9700\u5bf9\u53f6\u7ed3\u70b9\u6267\u884c\u5806\u5316\uff0c\u56e0\u4e3a\u5176\u6ca1\u6709\u5b50\u7ed3\u70b9\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig my_heap.java<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(List&lt;Integer&gt; nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = new ArrayList&lt;&gt;(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (int i = parent(size() - 1); i &gt;= 0; i--) {\nsiftDown(i);\n}\n}\n</code></pre> my_heap.cpp<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(vector&lt;int&gt; nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = nums;\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (int i = parent(size() - 1); i &gt;= 0; i--) {\nsiftDown(i);\n}\n}\n</code></pre> my_heap.py<pre><code>\n</code></pre> my_heap.go<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u5207\u7247\u5efa\u5806 */\nfunc newMaxHeap(nums []any) *maxHeap {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nh := &amp;maxHeap{data: nums}\nfor i := len(h.data) - 1; i &gt;= 0; i-- {\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nh.siftDown(i)\n}\nreturn h\n}\n</code></pre> my_heap.js<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u5efa\u7acb\u7a7a\u5806\u6216\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nconstructor(nums) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nthis.#maxHeap = nums === undefined ? [] : [...nums];\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (let i = this.#parent(this.size() - 1); i &gt;= 0; i--) {\nthis.#siftDown(i);\n}\n}\n</code></pre> my_heap.ts<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u5efa\u7acb\u7a7a\u5806\u6216\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nconstructor(nums?: number[]) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nthis.maxHeap = nums === undefined ? [] : [...nums];\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor (let i = this.parent(this.size() - 1); i &gt;= 0; i--) {\nthis.siftDown(i);\n}\n}\n</code></pre> my_heap.c<pre><code>[class]{maxHeap}-[func]{newMaxHeap}\n</code></pre> my_heap.cs<pre><code>/* \u6784\u9020\u51fd\u6570\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\nMaxHeap(IEnumerable&lt;int&gt; nums)\n{\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = new List&lt;int&gt;(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nvar size = parent(this.size() - 1);\nfor (int i = size; i &gt;= 0; i--)\n{\nsiftDown(i);\n}\n}\n</code></pre> my_heap.swift<pre><code>/* \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806 */\ninit(nums: [Int]) {\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\nmaxHeap = nums\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nfor i in stride(from: parent(i: size() - 1), through: 0, by: -1) {\nsiftDown(i: i)\n}\n}\n</code></pre> my_heap.zig<pre><code>// \u6784\u9020\u65b9\u6cd5\uff0c\u6839\u636e\u8f93\u5165\u5217\u8868\u5efa\u5806\nfn init(self: *Self, allocator: std.mem.Allocator, nums: []const T) !void {\nif (self.maxHeap != null) return;\nself.maxHeap = std.ArrayList(T).init(allocator);\n// \u5c06\u5217\u8868\u5143\u7d20\u539f\u5c01\u4e0d\u52a8\u6dfb\u52a0\u8fdb\u5806\ntry self.maxHeap.?.appendSlice(nums);\n// \u5806\u5316\u9664\u53f6\u7ed3\u70b9\u4ee5\u5916\u7684\u5176\u4ed6\u6240\u6709\u7ed3\u70b9\nvar i: usize = parent(self.size() - 1) + 1;\nwhile (i &gt; 0) : (i -= 1) {\ntry self.siftDown(i - 1);\n}\n}\n</code></pre> <p>\u90a3\u4e48\uff0c\u7b2c\u4e8c\u79cd\u5efa\u5806\u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u65f6\u591a\u5c11\u5462\uff1f\u6211\u4eec\u6765\u505a\u4e00\u4e0b\u7b80\u5355\u63a8\u7b97\u3002</p> <ul> <li>\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d\uff0c\u8bbe\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \uff0c\u5219\u53f6\u7ed3\u70b9\u6570\u91cf\u4e3a \\((n + 1) / 2\\) \uff0c\u5176\u4e2d \\(/\\) \u4e3a\u5411\u4e0b\u6574\u9664\u3002\u56e0\u6b64\u5728\u6392\u9664\u53f6\u7ed3\u70b9\u540e\uff0c\u9700\u8981\u5806\u5316\u7ed3\u70b9\u6570\u91cf\u4e3a \\((n - 1)/2\\) \uff0c\u5373\u4e3a \\(O(n)\\) \uff1b</li> <li>\u4ece\u9876\u81f3\u5e95\u5806\u5316\u4e2d\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u6700\u591a\u5806\u5316\u81f3\u53f6\u7ed3\u70b9\uff0c\u56e0\u6b64\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u4e3a\u4e8c\u53c9\u6811\u9ad8\u5ea6 \\(O(\\log n)\\) \uff1b</li> </ul> <p>\u5c06\u4e0a\u8ff0\u4e24\u8005\u76f8\u4e58\uff0c\u53ef\u5f97\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \u3002\u7136\u800c\uff0c\u8be5\u4f30\u7b97\u7ed3\u679c\u4ecd\u4e0d\u591f\u51c6\u786e\uff0c\u56e0\u4e3a\u6211\u4eec\u6ca1\u6709\u8003\u8651\u5230 \u4e8c\u53c9\u6811\u5e95\u5c42\u7ed3\u70b9\u8fdc\u591a\u4e8e\u9876\u5c42\u7ed3\u70b9 \u7684\u6027\u8d28\u3002</p> <p>\u4e0b\u9762\u6211\u4eec\u6765\u5c1d\u8bd5\u5c55\u5f00\u8ba1\u7b97\u3002\u4e3a\u4e86\u51cf\u5c0f\u8ba1\u7b97\u96be\u5ea6\uff0c\u6211\u4eec\u5047\u8bbe\u6811\u662f\u4e00\u4e2a\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff0c\u8be5\u5047\u8bbe\u4e0d\u4f1a\u5f71\u54cd\u8ba1\u7b97\u7ed3\u679c\u7684\u6b63\u786e\u6027\u3002\u8bbe\u4e8c\u53c9\u6811\uff08\u5373\u5806\uff09\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n\\) \uff0c\u6811\u9ad8\u5ea6\u4e3a \\(h\\) \u3002\u4e0a\u6587\u63d0\u5230\uff0c\u7ed3\u70b9\u5806\u5316\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u7b49\u4e8e\u8be5\u7ed3\u70b9\u5230\u53f6\u7ed3\u70b9\u7684\u8ddd\u79bb\uff0c\u800c\u8fd9\u6b63\u662f\u201c\u7ed3\u70b9\u9ad8\u5ea6\u201d\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u5404\u5c42\u7684\u201c\u7ed3\u70b9\u6570\u91cf \\(\\times\\) \u7ed3\u70b9\u9ad8\u5ea6\u201d\u6c42\u548c\uff0c\u5373\u53ef\u5f97\u5230\u6240\u6709\u7ed3\u70b9\u7684\u5806\u5316\u7684\u8fed\u4ee3\u6b21\u6570\u603b\u548c\u3002</p> \\[ T(h) = 2^0h + 2^1(h-1) + 2^2(h-2) + \\cdots + 2^{(h-1)}\\times1 \\] <p></p> <p>\u5316\u7b80\u4e0a\u5f0f\u9700\u8981\u501f\u52a9\u4e2d\u5b66\u7684\u6570\u5217\u77e5\u8bc6\uff0c\u5148\u5bf9 \\(T(h)\\) \u4e58\u4ee5 \\(2\\) \uff0c\u6613\u5f97</p> \\[ \\begin{aligned} T(h) &amp; = 2^0h + 2^1(h-1) + 2^2(h-2) + \\cdots + 2^{h-1}\\times1 \\newline 2 T(h) &amp; = 2^1h + 2^2(h-1) + 2^3(h-2) + \\cdots + 2^{h}\\times1 \\newline \\end{aligned} \\] <p>\u4f7f\u7528\u9519\u4f4d\u76f8\u51cf\u6cd5\uff0c\u4ee4\u4e0b\u5f0f \\(2 T(h)\\) \u51cf\u53bb\u4e0a\u5f0f \\(T(h)\\) \uff0c\u53ef\u5f97</p> \\[ 2T(h) - T(h) = T(h) = -2^0h + 2^1 + 2^2 + \\cdots + 2^{h-1} + 2^h \\] <p>\u89c2\u5bdf\u4e0a\u5f0f\uff0c\\(T(h)\\) \u662f\u4e00\u4e2a\u7b49\u6bd4\u6570\u5217\uff0c\u53ef\u76f4\u63a5\u4f7f\u7528\u6c42\u548c\u516c\u5f0f\uff0c\u5f97\u5230\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a</p> \\[ \\begin{aligned} T(h) &amp; = 2 \\frac{1 - 2^h}{1 - 2} - h \\newline &amp; = 2^{h+1} - h \\newline &amp; = O(2^h) \\end{aligned} \\] <p>\u8fdb\u4e00\u6b65\u5730\uff0c\u9ad8\u5ea6\u4e3a \\(h\\) \u7684\u5b8c\u7f8e\u4e8c\u53c9\u6811\u7684\u7ed3\u70b9\u6570\u91cf\u4e3a \\(n = 2^{h+1} - 1\\) \uff0c\u6613\u5f97\u590d\u6742\u5ea6\u4e3a \\(O(2^h) = O(n)\\)\u3002\u4ee5\u4e0a\u63a8\u7b97\u8868\u660e\uff0c\u8f93\u5165\u5217\u8868\u5e76\u5efa\u5806\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u975e\u5e38\u9ad8\u6548\u3002</p>"},{"location":"chapter_heap/heap/#814","title":"8.1.4. \u5806\u5e38\u89c1\u5e94\u7528","text":"<ul> <li>\u4f18\u5148\u961f\u5217\u3002\u5806\u5e38\u4f5c\u4e3a\u5b9e\u73b0\u4f18\u5148\u961f\u5217\u7684\u9996\u9009\u6570\u636e\u7ed3\u6784\uff0c\u5165\u961f\u548c\u51fa\u961f\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(\\log n)\\) \uff0c\u5efa\u961f\u64cd\u4f5c\u4e3a \\(O(n)\\) \uff0c\u7686\u975e\u5e38\u9ad8\u6548\u3002</li> <li>\u5806\u6392\u5e8f\u3002\u7ed9\u5b9a\u4e00\u7ec4\u6570\u636e\uff0c\u6211\u4eec\u4f7f\u7528\u5176\u5efa\u5806\uff0c\u5e76\u4f9d\u6b21\u5168\u90e8\u5f39\u51fa\uff0c\u5219\u53ef\u4ee5\u5f97\u5230\u6709\u5e8f\u7684\u5e8f\u5217\u3002\u5f53\u7136\uff0c\u5806\u6392\u5e8f\u4e00\u822c\u65e0\u9700\u5f39\u51fa\u5143\u7d20\uff0c\u4ec5\u9700\u6bcf\u8f6e\u5c06\u5806\u9876\u5143\u7d20\u4ea4\u6362\u81f3\u6570\u7ec4\u5c3e\u90e8\u5e76\u51cf\u5c0f\u5806\u7684\u957f\u5ea6\u5373\u53ef\u3002</li> <li>\u83b7\u53d6\u6700\u5927\u7684 \\(k\\) \u4e2a\u5143\u7d20\u3002\u8fd9\u65e2\u662f\u4e00\u9053\u7ecf\u5178\u7b97\u6cd5\u9898\u76ee\uff0c\u4e5f\u662f\u4e00\u79cd\u5e38\u89c1\u5e94\u7528\uff0c\u4f8b\u5982\u9009\u53d6\u70ed\u5ea6\u524d 10 \u7684\u65b0\u95fb\u4f5c\u4e3a\u5fae\u535a\u70ed\u641c\uff0c\u9009\u53d6\u524d 10 \u9500\u91cf\u7684\u5546\u54c1\u7b49\u3002</li> </ul>"},{"location":"chapter_introduction/algorithms_are_everywhere/","title":"1.1. \u7b97\u6cd5\u65e0\u5904\u4e0d\u5728","text":"<p>\u542c\u5230\u201c\u7b97\u6cd5\u201d\u8fd9\u4e2a\u8bcd\uff0c\u6211\u4eec\u4e00\u822c\u4f1a\u8054\u60f3\u5230\u6570\u5b66\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u5927\u591a\u6570\u7b97\u6cd5\u5e76\u4e0d\u5305\u542b\u590d\u6742\u7684\u6570\u5b66\uff0c\u800c\u66f4\u50cf\u662f\u5728\u8003\u5bdf\u57fa\u672c\u903b\u8f91\uff0c\u800c\u8fd9\u4e9b\u903b\u8f91\u5728\u6211\u4eec\u65e5\u5e38\u751f\u6d3b\u4e2d\u5904\u5904\u53ef\u89c1\u3002</p> <p>\u5728\u6b63\u5f0f\u4ecb\u7ecd\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u60f3\u544a\u8bc9\u4f60\u4e00\u4ef6\u6709\u8da3\u7684\u4e8b\uff1a\u5176\u5b9e\uff0c\u4f60\u5728\u8fc7\u53bb\u5df2\u7ecf\u5b66\u4f1a\u4e86\u5f88\u591a\u7b97\u6cd5\uff0c\u5e76\u4e14\u5df2\u7ecf\u4e60\u60ef\u5c06\u5b83\u4eec\u5e94\u7528\u5230\u65e5\u5e38\u751f\u6d3b\u4e2d\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u4ecb\u7ecd\u4e24\u4e2a\u5177\u4f53\u4f8b\u5b50\u6765\u4f50\u8bc1\u3002</p> <p>\u4f8b\u4e00\uff1a\u62fc\u79ef\u6728\u3002\u4e00\u5957\u79ef\u6728\uff0c\u9664\u4e86\u6709\u8bb8\u591a\u90e8\u4ef6\u4e4b\u5916\uff0c\u8fd8\u4f1a\u9644\u9001\u8be6\u7ec6\u7684\u62fc\u88c5\u8bf4\u660e\u4e66\u3002\u6211\u4eec\u6309\u7167\u8bf4\u660e\u4e66\u4e0a\u4e00\u6b65\u6b65\u64cd\u4f5c\uff0c\u5373\u53ef\u62fc\u51fa\u590d\u6742\u7684\u79ef\u6728\u6a21\u578b\u3002</p> <p>\u5982\u679c\u4ece\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u89d2\u5ea6\u770b\uff0c\u5927\u5927\u5c0f\u5c0f\u7684\u300c\u79ef\u6728\u300d\u5c31\u662f\u6570\u636e\u7ed3\u6784\uff0c\u800c\u300c\u62fc\u88c5\u8bf4\u660e\u4e66\u300d\u4e0a\u7684\u4e00\u7cfb\u5217\u6b65\u9aa4\u5c31\u662f\u7b97\u6cd5\u3002</p> <p>\u4f8b\u4e8c\uff1a\u67e5\u5b57\u5178\u3002\u5728\u5b57\u5178\u4e2d\uff0c\u6bcf\u4e2a\u6c49\u5b57\u90fd\u6709\u4e00\u4e2a\u5bf9\u5e94\u7684\u62fc\u97f3\uff0c\u800c\u5b57\u5178\u662f\u6309\u7167\u62fc\u97f3\u7684\u82f1\u6587\u5b57\u6bcd\u8868\u987a\u5e8f\u6392\u5217\u7684\u3002\u5047\u8bbe\u9700\u8981\u5728\u5b57\u5178\u4e2d\u67e5\u8be2\u4efb\u610f\u4e00\u4e2a\u62fc\u97f3\u9996\u5b57\u6bcd\u4e3a \\(r\\) \u7684\u5b57\uff0c\u4e00\u822c\u6211\u4eec\u4f1a\u8fd9\u6837\u505a\uff1a</p> <ol> <li>\u6253\u5f00\u5b57\u5178\u5927\u81f4\u4e00\u534a\u9875\u6570\u7684\u4f4d\u7f6e\uff0c\u67e5\u770b\u6b64\u9875\u7684\u9996\u5b57\u6bcd\u662f\u4ec0\u4e48\uff08\u5047\u8bbe\u4e3a \\(m\\) \uff09\uff1b</li> <li>\u7531\u4e8e\u5728\u82f1\u6587\u5b57\u6bcd\u8868\u4e2d \\(r\\) \u5728 \\(m\\) \u7684\u540e\u9762\uff0c\u56e0\u6b64\u5e94\u6392\u9664\u5b57\u5178\u524d\u534a\u90e8\u5206\uff0c\u67e5\u627e\u8303\u56f4\u4ec5\u5269\u540e\u534a\u90e8\u5206\uff1b</li> <li>\u5faa\u73af\u6267\u884c\u6b65\u9aa4 1-2 \uff0c\u76f4\u5230\u627e\u5230\u62fc\u97f3\u9996\u5b57\u6bcd\u4e3a \\(r\\) \u7684\u9875\u7801\u65f6\u7ec8\u6b62\u3002</li> </ol> Step 1Step 2Step 3Step 4Step 5 <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u67e5\u5b57\u5178\u8fd9\u4e2a\u5c0f\u5b66\u751f\u7684\u6807\u914d\u6280\u80fd\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f\u5927\u540d\u9f0e\u9f0e\u7684\u300c\u4e8c\u5206\u67e5\u627e\u300d\u3002\u4ece\u6570\u636e\u7ed3\u6784\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5b57\u5178\u770b\u4f5c\u662f\u4e00\u4e2a\u5df2\u6392\u5e8f\u7684\u300c\u6570\u7ec4\u300d\uff1b\u800c\u4ece\u7b97\u6cd5\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u5c06\u4e0a\u8ff0\u67e5\u5b57\u5178\u7684\u4e00\u7cfb\u5217\u6307\u4ee4\u770b\u4f5c\u662f\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7b97\u6cd5\u3002</p> <p>\u5c0f\u5230\u70f9\u996a\u4e00\u9053\u83dc\u3001\u5927\u5230\u661f\u9645\u822a\u884c\uff0c\u51e0\u4e4e\u6240\u6709\u95ee\u9898\u7684\u89e3\u51b3\u90fd\u79bb\u4e0d\u5f00\u7b97\u6cd5\u3002\u8ba1\u7b97\u673a\u7684\u51fa\u73b0\uff0c\u4f7f\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u7f16\u7a0b\u5c06\u6570\u636e\u7ed3\u6784\u5b58\u50a8\u5728\u5185\u5b58\u4e2d\uff0c\u4e5f\u53ef\u4ee5\u7f16\u5199\u4ee3\u7801\u6765\u8c03\u7528 CPU, GPU \u6267\u884c\u7b97\u6cd5\uff0c\u4ece\u800c\u5c06\u751f\u6d3b\u4e2d\u7684\u95ee\u9898\u642c\u8fd0\u5230\u8ba1\u7b97\u673a\u4e2d\uff0c\u66f4\u52a0\u9ad8\u6548\u5730\u89e3\u51b3\u5404\u5f0f\u5404\u6837\u7684\u590d\u6742\u95ee\u9898\u3002</p> <p>Tip</p> <p>\u8bfb\u5230\u8fd9\u91cc\uff0c\u5982\u679c\u4f60\u611f\u5230\u5bf9\u6570\u636e\u7ed3\u6784\u3001\u7b97\u6cd5\u3001\u6570\u7ec4\u3001\u4e8c\u5206\u67e5\u627e\u7b49\u6b64\u7c7b\u6982\u5ff5\u4e00\u77e5\u534a\u89e3\uff0c\u90a3\u4e48\u5c31\u592a\u597d\u4e86\uff01\u56e0\u4e3a\u8fd9\u6b63\u662f\u672c\u4e66\u5b58\u5728\u7684\u4ef7\u503c\uff0c\u63a5\u4e0b\u6765\uff0c\u672c\u4e66\u5c06\u4f1a\u4e00\u6b65\u6b65\u5730\u5f15\u5bfc\u4f60\u8fdb\u5165\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u77e5\u8bc6\u6bbf\u5802\u3002</p>"},{"location":"chapter_introduction/what_is_dsa/","title":"1.2. \u7b97\u6cd5\u662f\u4ec0\u4e48","text":""},{"location":"chapter_introduction/what_is_dsa/#121","title":"1.2.1. \u7b97\u6cd5\u5b9a\u4e49","text":"<p>\u300c\u7b97\u6cd5 Algorithm\u300d\u662f\u5728\u6709\u9650\u65f6\u95f4\u5185\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u7684\u4e00\u7ec4\u6307\u4ee4\u6216\u64cd\u4f5c\u6b65\u9aa4\u3002\u7b97\u6cd5\u5177\u6709\u4ee5\u4e0b\u7279\u6027\uff1a</p> <ul> <li>\u95ee\u9898\u662f\u660e\u786e\u7684\uff0c\u9700\u8981\u62e5\u6709\u660e\u786e\u7684\u8f93\u5165\u548c\u8f93\u51fa\u5b9a\u4e49\u3002</li> <li>\u89e3\u5177\u6709\u786e\u5b9a\u6027\uff0c\u5373\u7ed9\u5b9a\u76f8\u540c\u8f93\u5165\u65f6\uff0c\u8f93\u51fa\u4e00\u5b9a\u76f8\u540c\u3002</li> <li>\u5177\u6709\u53ef\u884c\u6027\uff0c\u53ef\u5728\u6709\u9650\u6b65\u9aa4\u3001\u6709\u9650\u65f6\u95f4\u3001\u6709\u9650\u5185\u5b58\u7a7a\u95f4\u4e0b\u5b8c\u6210\u3002</li> <li>\u72ec\u7acb\u4e8e\u7f16\u7a0b\u8bed\u8a00\uff0c\u5373\u53ef\u7528\u591a\u79cd\u8bed\u8a00\u5b9e\u73b0\u3002</li> </ul>"},{"location":"chapter_introduction/what_is_dsa/#122","title":"1.2.2. \u6570\u636e\u7ed3\u6784\u5b9a\u4e49","text":"<p>\u300c\u6570\u636e\u7ed3\u6784 Data Structure\u300d\u662f\u5728\u8ba1\u7b97\u673a\u4e2d\u7ec4\u7ec7\u4e0e\u5b58\u50a8\u6570\u636e\u7684\u65b9\u5f0f\u3002\u4e3a\u4e86\u63d0\u9ad8\u6570\u636e\u5b58\u50a8\u548c\u64cd\u4f5c\u6027\u80fd\uff0c\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u539f\u5219\u6709\uff1a</p> <ul> <li>\u7a7a\u95f4\u5360\u7528\u5c3d\u53ef\u80fd\u5c0f\uff0c\u8282\u7701\u8ba1\u7b97\u673a\u5185\u5b58\u3002</li> <li>\u6570\u636e\u64cd\u4f5c\u5c3d\u91cf\u5feb\uff0c\u5305\u62ec\u6570\u636e\u8bbf\u95ee\u3001\u6dfb\u52a0\u3001\u5220\u9664\u3001\u66f4\u65b0\u7b49\u3002</li> <li>\u63d0\u4f9b\u7b80\u6d01\u7684\u6570\u636e\u8868\u793a\u548c\u903b\u8f91\u4fe1\u606f\uff0c\u4ee5\u4fbf\u7b97\u6cd5\u9ad8\u6548\u8fd0\u884c\u3002</li> </ul> <p>\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u662f\u4e00\u4e2a\u5145\u6ee1\u6743\u8861\u7684\u8fc7\u7a0b\uff0c\u8fd9\u610f\u5473\u7740\u5982\u679c\u83b7\u5f97\u67d0\u65b9\u9762\u7684\u4f18\u52bf\uff0c\u5219\u5f80\u5f80\u9700\u8981\u5728\u53e6\u4e00\u65b9\u9762\u505a\u51fa\u59a5\u534f\u3002\u4f8b\u5982\uff0c\u94fe\u8868\u76f8\u5bf9\u4e8e\u6570\u7ec4\uff0c\u6570\u636e\u6dfb\u52a0\u5220\u9664\u64cd\u4f5c\u66f4\u52a0\u65b9\u4fbf\uff0c\u4f46\u727a\u7272\u4e86\u6570\u636e\u7684\u8bbf\u95ee\u901f\u5ea6\uff1b\u56fe\u76f8\u5bf9\u4e8e\u94fe\u8868\uff0c\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u903b\u8f91\u4fe1\u606f\uff0c\u4f46\u9700\u8981\u5360\u7528\u66f4\u591a\u7684\u5185\u5b58\u7a7a\u95f4\u3002</p>"},{"location":"chapter_introduction/what_is_dsa/#123","title":"1.2.3. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u5173\u7cfb","text":"<p>\u300c\u6570\u636e\u7ed3\u6784\u300d\u4e0e\u300c\u7b97\u6cd5\u300d\u662f\u9ad8\u5ea6\u76f8\u5173\u3001\u7d27\u5bc6\u5d4c\u5408\u7684\uff0c\u4f53\u73b0\u5728\uff1a</p> <ul> <li>\u6570\u636e\u7ed3\u6784\u662f\u7b97\u6cd5\u7684\u5e95\u5ea7\u3002\u6570\u636e\u7ed3\u6784\u4e3a\u7b97\u6cd5\u63d0\u4f9b\u7ed3\u6784\u5316\u5b58\u50a8\u7684\u6570\u636e\uff0c\u4ee5\u53ca\u64cd\u4f5c\u6570\u636e\u7684\u5bf9\u5e94\u65b9\u6cd5\u3002</li> <li>\u7b97\u6cd5\u662f\u53d1\u6325\u6570\u636e\u7ed3\u6784\u4f18\u52bf\u7684\u821e\u53f0\u3002\u6570\u636e\u7ed3\u6784\u4ec5\u5b58\u50a8\u6570\u636e\u4fe1\u606f\uff0c\u7ed3\u5408\u7b97\u6cd5\u624d\u53ef\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u3002</li> <li>\u7b97\u6cd5\u6709\u5bf9\u5e94\u6700\u4f18\u7684\u6570\u636e\u7ed3\u6784\u3002\u7ed9\u5b9a\u7b97\u6cd5\uff0c\u4e00\u822c\u53ef\u57fa\u4e8e\u4e0d\u540c\u7684\u6570\u636e\u7ed3\u6784\u5b9e\u73b0\uff0c\u800c\u6700\u7ec8\u6267\u884c\u6548\u7387\u5f80\u5f80\u76f8\u5dee\u5f88\u5927\u3002</li> </ul> <p></p> <p> Fig. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u5173\u7cfb </p> <p>\u5982\u679c\u5c06\u300cLEGO \u4e50\u9ad8\u300d\u7c7b\u6bd4\u5230\u300c\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u300d\uff0c\u90a3\u4e48\u53ef\u4ee5\u5f97\u5230\u4e0b\u8868\u6240\u793a\u7684\u5bf9\u5e94\u5173\u7cfb\u3002</p> \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5 LEGO \u4e50\u9ad8 \u8f93\u5165\u6570\u636e \u672a\u62fc\u88c5\u7684\u79ef\u6728 \u6570\u636e\u7ed3\u6784 \u79ef\u6728\u7ec4\u7ec7\u5f62\u5f0f\uff0c\u5305\u62ec\u5f62\u72b6\u3001\u5927\u5c0f\u3001\u8fde\u63a5\u65b9\u5f0f\u7b49 \u7b97\u6cd5 \u628a\u79ef\u6728\u62fc\u6210\u76ee\u6807\u5f62\u6001\u7684\u4e00\u7cfb\u5217\u64cd\u4f5c\u6b65\u9aa4 \u8f93\u51fa\u6570\u636e \u79ef\u6728\u6a21\u578b <p>\u7ea6\u5b9a\u4fd7\u6210\u7684\u7b80\u79f0</p> <p>\u5728\u5b9e\u9645\u8ba8\u8bba\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u4f1a\u5c06\u300c\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u300d\u76f4\u63a5\u7b80\u79f0\u4e3a\u300c\u7b97\u6cd5\u300d\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u719f\u79f0\u7684 LeetCode \u7b97\u6cd5\u9898\u76ee\uff0c\u5b9e\u9645\u4e0a\u540c\u65f6\u8003\u5bdf\u4e86\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\u4e24\u90e8\u5206\u77e5\u8bc6\u3002</p>"},{"location":"chapter_preface/about_the_book/","title":"0.1. \u5173\u4e8e\u672c\u4e66","text":"<p>\u4e94\u5e74\u524d\u53d1\u751f\u7684\u4e00\u4ef6\u4e8b\uff0c\u6210\u4e3a\u4e86\u6211\u804c\u4e1a\u751f\u6daf\u7684\u91cd\u8981\u8f6c\u6298\u70b9\u3002\u5f53\u65f6\u7684\u6211\u5728\u4ea4\u5927\u8bfb\u7814\uff0c\u5bf9\u4e92\u8054\u7f51\u6c42\u804c\u4e00\u65e0\u6240\u77e5\uff0c\u4f46\u4ecd\u7136\u786c\u7740\u5934\u76ae\u7533\u8bf7\u4e86 Microsoft \u8f6f\u4ef6\u5de5\u7a0b\u5e08\u5b9e\u4e60\u3002\u9762\u8bd5\u5b98\u8ba9\u6211\u5728\u767d\u677f\u4e0a\u5199\u51fa\u201c\u5feb\u901f\u6392\u5e8f\u201d\u4ee3\u7801\uff0c\u6211\u754f\u754f\u7f29\u7f29\u5730\u5199\u4e86\u4e00\u4e2a\u201c\u5192\u6ce1\u6392\u5e8f\u201d\uff0c\u5e76\u4e14\u8fd8\u5199\u9519\u4e86<code>(ToT)</code> \u3002\u4ece\u9762\u8bd5\u5b98\u7684\u8868\u60c5\u4e0a\uff0c\u6211\u770b\u5230\u4e86\u4e00\u4e2a\u5927\u5927\u7684 \"GG\" \u3002</p> <p>\u6b64\u6b21\u5931\u5229\u5012\u903c\u6211\u5f00\u59cb\u5237\u7b97\u6cd5\u9898\u3002\u6211\u91c7\u7528\u201c\u626b\u96f7\u6e38\u620f\u201d\u5f0f\u7684\u5b66\u4e60\u65b9\u6cd5\uff0c\u4e24\u773c\u4e00\u62b9\u9ed1\u5237\u9898\uff0c\u626b\u5230\u4e0d\u4f1a\u7684\u201c\u96f7\u201d\u5c31\u901a\u8fc7\u67e5\u8d44\u6599\u628a\u5b83\u201c\u6392\u6389\u201d\uff0c\u914d\u5408\u5468\u671f\u6027\u603b\u7ed3\uff0c\u9010\u6e10\u5f62\u6210\u4e86\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u77e5\u8bc6\u56fe\u666f\u3002\u5e78\u8fd0\u5730\uff0c\u6211\u5728\u79cb\u62db\u65a9\u83b7\u4e86\u591a\u5bb6\u5927\u5382\u7684 Offer \u3002</p> <p>\u56de\u60f3\u81ea\u5df1\u5f53\u521d\u5728\u201c\u626b\u96f7\u5f0f\u201d\u5237\u9898\u4e2d\u88ab\u70b8\u7684\u6ee1\u5934\u5305\u7684\u75db\u82e6\uff0c\u601d\u8003\u826f\u4e45\uff0c\u6211\u610f\u8bc6\u5230\u4e00\u672c\u201c\u524d\u671f\u5237\u9898\u5fc5\u770b\u201d\u7684\u8bfb\u7269\u53ef\u4ee5\u4f7f\u7b97\u6cd5\u5c0f\u767d\u5c11\u8d70\u8bb8\u591a\u5f2f\u8def\u3002\u5199\u4f5c\u610f\u613f\u6eda\u6eda\u88ad\u6765\uff0c\u90a3\u5c31\u52a8\u7b14\u5427\uff1a</p>  Hello\uff0c\u7b97\u6cd5\uff01"},{"location":"chapter_preface/about_the_book/#011","title":"0.1.1. \u8bfb\u8005\u5bf9\u8c61","text":"<p>\u524d\u7f6e\u6761\u4ef6</p> <p>\u60a8\u9700\u8981\u81f3\u5c11\u5177\u5907\u4efb\u4e00\u8bed\u8a00\u7684\u7f16\u7a0b\u57fa\u7840\uff0c\u80fd\u591f\u9605\u8bfb\u548c\u7f16\u5199\u7b80\u5355\u4ee3\u7801\u3002</p> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u521d\u5b66\u8005\uff0c\u5b8c\u5168\u6ca1\u6709\u63a5\u89e6\u8fc7\u7b97\u6cd5\uff0c\u6216\u8005\u5df2\u7ecf\u6709\u5c11\u91cf\u5237\u9898\uff0c\u5bf9\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u6709\u6726\u80e7\u7684\u7406\u89e3\uff0c\u5728\u4f1a\u4e0e\u4e0d\u4f1a\u4e4b\u95f4\u53cd\u590d\u6a2a\u8df3\uff0c\u90a3\u4e48\u8fd9\u672c\u4e66\u5c31\u662f\u4e3a\u60a8\u800c\u5199\uff01\u672c\u4e66\u80fd\u591f\u5e26\u6765\uff1a</p> <ul> <li>\u4e86\u89e3\u5237\u9898\u6240\u9700\u7684 \u6570\u636e\u7ed3\u6784\uff0c\u5305\u62ec\u5e38\u7528\u64cd\u4f5c\u3001\u4f18\u52bf\u548c\u52a3\u52bf\u3001\u5178\u578b\u5e94\u7528\u3001\u5b9e\u73b0\u65b9\u6cd5\u7b49\u3002</li> <li>\u5b66\u4e60\u5404\u7c7b \u7b97\u6cd5\uff0c\u4ecb\u7ecd\u7b97\u6cd5\u7684\u8bbe\u8ba1\u601d\u60f3\u3001\u8fd0\u884c\u6548\u7387\u3001\u4f18\u52bf\u52a3\u52bf\u3001\u5b9e\u73b0\u65b9\u6cd5\u7b49\u3002</li> <li>\u53ef\u4e00\u952e\u8fd0\u884c\u7684 \u914d\u5957\u4ee3\u7801\uff0c\u5305\u542b\u8be6\u7ec6\u6ce8\u91ca\uff0c\u5e2e\u52a9\u4f60\u901a\u8fc7\u5b9e\u8df5\u52a0\u6df1\u7406\u89e3\u3002</li> </ul> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u719f\u7ec3\u5de5\uff0c\u5df2\u7ecf\u79ef\u7d2f\u4e00\u5b9a\u5237\u9898\u91cf\uff0c\u63a5\u89e6\u8fc7\u5927\u591a\u6570\u9898\u578b\uff0c\u90a3\u4e48\u672c\u4e66\u5185\u5bb9\u5bf9\u4f60\u6765\u8bf4\u53ef\u80fd\u7a0d\u663e\u57fa\u7840\uff0c\u4f46\u4ecd\u80fd\u591f\u5e26\u6765\u4ee5\u4e0b\u4ef7\u503c\uff1a</p> <ul> <li>\u672c\u4e66\u7bc7\u5e45\u4e0d\u957f\uff0c\u53ef\u4ee5\u5e2e\u52a9\u4f60\u63d0\u7eb2\u6308\u9886\u5730\u56de\u987e\u7b97\u6cd5\u77e5\u8bc6\u3002</li> <li>\u4e66\u4e2d\u5305\u542b\u8bb8\u591a\u5bf9\u6bd4\u6027\u3001\u603b\u7ed3\u6027\u7684\u7b97\u6cd5\u5185\u5bb9\uff0c\u53ef\u4ee5\u5e2e\u52a9\u4f60\u68b3\u7406\u7b97\u6cd5\u77e5\u8bc6\u4f53\u7cfb\u3002</li> <li>\u6e90\u4ee3\u7801\u5b9e\u73b0\u4e86\u5404\u79cd\u7ecf\u5178\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\uff0c\u53ef\u4ee5\u4f5c\u4e3a\u201c\u5237\u9898\u5de5\u5177\u5e93\u201d\u6765\u4f7f\u7528\u3002</li> </ul> <p>\u5982\u679c\u60a8\u662f \u7b97\u6cd5\u5927\u4f6c\uff0c\u8bf7\u53d7\u6211\u819c\u62dc\uff01\u5e0c\u671b\u60a8\u53ef\u4ee5\u62bd\u65f6\u95f4\u63d0\u51fa\u610f\u89c1\u5efa\u8bae\uff0c\u6216\u8005\u4e00\u8d77\u53c2\u4e0e\u521b\u4f5c\uff0c\u5e2e\u52a9\u5404\u4f4d\u540c\u5b66\u83b7\u53d6\u66f4\u597d\u7684\u5b66\u4e60\u5185\u5bb9\uff0c\u611f\u8c22\uff01</p>"},{"location":"chapter_preface/about_the_book/#012","title":"0.1.2. \u5185\u5bb9\u7ed3\u6784","text":"<p>\u672c\u4e66\u4e3b\u8981\u5185\u5bb9\u5206\u4e3a\u590d\u6742\u5ea6\u5206\u6790\u3001\u6570\u636e\u7ed3\u6784\u3001\u7b97\u6cd5\u4e09\u4e2a\u90e8\u5206\u3002</p> <p></p> <p> Fig. \u77e5\u8bc6\u70b9\u601d\u7ef4\u5bfc\u56fe </p>"},{"location":"chapter_preface/about_the_book/#_1","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u9996\u5148\u4ecb\u7ecd\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u8bc4\u4ef7\u7ef4\u5ea6\u3001\u7b97\u6cd5\u6548\u7387\u7684\u8bc4\u4f30\u65b9\u6cd5\uff0c\u5f15\u51fa\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u6982\u5ff5\u3002</p> <p>\u63a5\u4e0b\u6765\uff0c\u4ece \u51fd\u6570\u6e10\u8fd1\u4e0a\u754c \u5165\u624b\uff0c\u5206\u522b\u4ecb\u7ecd\u4e86 \u65f6\u95f4\u590d\u6742\u5ea6 \u548c \u7a7a\u95f4\u590d\u6742\u5ea6\uff0c\u5305\u62ec\u63a8\u7b97\u65b9\u6cd5\u3001\u5e38\u89c1\u7c7b\u578b\u3001\u793a\u4f8b\u7b49\u3002\u540c\u65f6\uff0c\u5256\u6790\u4e86 \u6700\u5dee\u3001\u6700\u4f73\u3001\u5e73\u5747 \u65f6\u95f4\u590d\u6742\u5ea6\u7684\u8054\u7cfb\u4e0e\u533a\u522b\u3002</p>"},{"location":"chapter_preface/about_the_book/#_2","title":"\u6570\u636e\u7ed3\u6784","text":"<p>\u9996\u5148\u4ecb\u7ecd\u4e86\u5e38\u7528\u7684 \u57fa\u672c\u6570\u636e\u7c7b\u578b \u3001\u4ee5\u53ca\u5b83\u4eec\u662f\u5982\u4f55\u5728\u5185\u5b58\u4e2d\u5b58\u50a8\u7684\u3002</p> <p>\u63a5\u4e0b\u6765\uff0c\u4ecb\u7ecd\u4e86\u4e24\u79cd \u6570\u636e\u7ed3\u6784\u5206\u7c7b\u65b9\u6cd5\uff0c\u5305\u62ec\u903b\u8f91\u7ed3\u6784\u4e0e\u7269\u7406\u7ed3\u6784\u3002</p> <p>\u540e\u7eed\u5c55\u5f00\u4ecb\u7ecd\u4e86 \u6570\u7ec4\u3001\u94fe\u8868\u3001\u6808\u3001\u961f\u5217\u3001\u6563\u5217\u8868\u3001\u6811\u3001\u5806\u3001\u56fe \u7b49\u6570\u636e\u7ed3\u6784\uff0c\u5173\u5fc3\u4ee5\u4e0b\u5185\u5bb9\uff1a</p> <ul> <li>\u57fa\u672c\u5b9a\u4e49\uff1a\u6570\u636e\u7ed3\u6784\u7684\u8bbe\u8ba1\u6765\u6e90\u3001\u5b58\u5728\u610f\u4e49\uff1b</li> <li>\u4e3b\u8981\u7279\u70b9\uff1a\u5728\u5404\u9879\u6570\u636e\u64cd\u4f5c\u4e2d\u7684\u4f18\u52bf\u3001\u52a3\u52bf\uff1b</li> <li>\u5e38\u7528\u64cd\u4f5c\uff1a\u4f8b\u5982\u8bbf\u95ee\u3001\u66f4\u65b0\u3001\u63d2\u5165\u3001\u5220\u9664\u3001\u904d\u5386\u3001\u641c\u7d22\u7b49\uff1b</li> <li>\u5e38\u89c1\u7c7b\u578b\uff1a\u5728\u7b97\u6cd5\u9898\u6216\u5de5\u7a0b\u5b9e\u9645\u4e2d\uff0c\u7ecf\u5e38\u78b0\u5230\u7684\u6570\u636e\u7ed3\u6784\u7c7b\u578b\uff1b</li> <li>\u5178\u578b\u5e94\u7528\uff1a\u6b64\u6570\u636e\u7ed3\u6784\u7ecf\u5e38\u642d\u914d\u54ea\u4e9b\u7b97\u6cd5\u4f7f\u7528\uff1b</li> <li>\u5b9e\u73b0\u65b9\u6cd5\uff1a\u5bf9\u4e8e\u91cd\u8981\u7684\u6570\u636e\u7ed3\u6784\uff0c\u5c06\u7ed9\u51fa\u5b8c\u6574\u7684\u5b9e\u73b0\u793a\u4f8b\uff1b</li> </ul>"},{"location":"chapter_preface/about_the_book/#_3","title":"\u7b97\u6cd5","text":"<p>\u5305\u62ec \u67e5\u627e\u7b97\u6cd5\u3001\u6392\u5e8f\u7b97\u6cd5\u3001\u641c\u7d22\u4e0e\u56de\u6eaf\u3001\u52a8\u6001\u89c4\u5212\u3001\u5206\u6cbb\u7b97\u6cd5\uff0c\u5185\u5bb9\u5305\u62ec\uff1a</p> <ul> <li>\u57fa\u672c\u5b9a\u4e49\uff1a\u7b97\u6cd5\u7684\u8bbe\u8ba1\u601d\u60f3\uff1b</li> <li>\u4e3b\u8981\u7279\u70b9\uff1a\u4f7f\u7528\u524d\u7f6e\u6761\u4ef6\u3001\u4f18\u52bf\u548c\u52a3\u52bf\uff1b</li> <li>\u7b97\u6cd5\u6548\u7387\uff1a\u6700\u5dee\u548c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u3001\u7a7a\u95f4\u590d\u6742\u5ea6\uff1b</li> <li>\u5b9e\u73b0\u65b9\u6cd5\uff1a\u5b8c\u6574\u7684\u7b97\u6cd5\u5b9e\u73b0\uff0c\u4ee5\u53ca\u4f18\u5316\u63aa\u65bd\uff1b</li> <li>\u793a\u4f8b\u9898\u76ee\uff1a\u7ed3\u5408\u4f8b\u9898\u52a0\u6df1\u7406\u89e3\uff1b</li> </ul>"},{"location":"chapter_preface/about_the_book/#013","title":"0.1.3. \u914d\u5957\u4ee3\u7801","text":"<p>\u5b8c\u6574\u4ee3\u7801\u6258\u7ba1\u5728 GitHub \u4ed3\u5e93 \uff0c\u7686\u53ef\u4e00\u952e\u8fd0\u884c\u3002</p> <p>\u524d\u7f6e\u5de5\u4f5c</p> <ol> <li>\u7f16\u7a0b\u73af\u5883\u5b89\u88c5 \uff0c\u82e5\u6709\u8bf7\u8df3\u8fc7</li> <li>\u4ee3\u7801\u4e0b\u8f7d\u4e0e\u4f7f\u7528\u65b9\u6cd5\u8bf7\u89c1 \u5982\u4f55\u4f7f\u7528\u672c\u4e66</li> </ol>"},{"location":"chapter_preface/about_the_book/#014","title":"0.1.4. \u98ce\u683c\u7ea6\u5b9a","text":"<ul> <li>\u6807\u9898\u540e\u6807\u6ce8 * \u7b26\u53f7\u7684\u662f\u9009\u8bfb\u7ae0\u8282\uff0c\u5982\u679c\u4f60\u7684\u65f6\u95f4\u6709\u9650\uff0c\u53ef\u4ee5\u5148\u8df3\u8fc7\u8fd9\u4e9b\u7ae0\u8282\u3002</li> <li>\u6587\u7ae0\u4e2d\u7684\u91cd\u8981\u540d\u8bcd\u4f1a\u7528\u300c\u300d\u7b26\u53f7\u6807\u6ce8\uff0c\u4f8b\u5982\u300c\u6570\u7ec4 Array\u300d\u3002\u540d\u8bcd\u6df7\u6dc6\u4f1a\u5bfc\u81f4\u4e0d\u5fc5\u8981\u7684\u6b67\u4e49\uff0c\u56e0\u6b64\u6700\u597d\u53ef\u4ee5\u8bb0\u4f4f\u8fd9\u7c7b\u540d\u8bcd\uff08\u5305\u62ec\u4e2d\u6587\u548c\u82f1\u6587\uff09\uff0c\u4ee5\u4fbf\u540e\u7eed\u9605\u8bfb\u6587\u732e\u65f6\u4f7f\u7528\u3002</li> <li>\u91cd\u70b9\u5185\u5bb9\u3001\u603b\u8d77\u53e5\u3001\u603b\u7ed3\u53e5\u4f1a\u88ab \u52a0\u7c97\uff0c\u6b64\u7c7b\u6587\u5b57\u503c\u5f97\u7279\u522b\u5173\u6ce8\u3002</li> <li>\u4e13\u6709\u540d\u8bcd\u548c\u6709\u7279\u6307\u542b\u4e49\u7684\u8bcd\u53e5\u4f1a\u4f7f\u7528 \u201c \u201d \u6807\u6ce8\uff0c\u4ee5\u907f\u514d\u6b67\u4e49\u3002</li> <li>\u5728\u5de5\u7a0b\u5e94\u7528\u4e2d\uff0c\u6bcf\u79cd\u8bed\u8a00\u90fd\u6709\u6ce8\u91ca\u89c4\u8303\uff1b\u800c\u672c\u4e66\u653e\u5f03\u4e86\u4e00\u90e8\u5206\u7684\u6ce8\u91ca\u89c4\u8303\u6027\uff0c\u4ee5\u6362\u53d6\u66f4\u52a0\u7d27\u51d1\u7684\u5185\u5bb9\u6392\u7248\u3002\u6ce8\u91ca\u4e3b\u8981\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff1a\u6807\u9898\u6ce8\u91ca\u3001\u5185\u5bb9\u6ce8\u91ca\u3001\u591a\u884c\u6ce8\u91ca\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>\"\"\" \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 \"\"\"\n# \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n\"\"\"\n\u591a\u884c\n\u6ce8\u91ca\n\"\"\"\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>/* \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49 */\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n/**\n * \u591a\u884c\n * \u6ce8\u91ca\n */\n</code></pre> <pre><code>// \u6807\u9898\u6ce8\u91ca\uff0c\u7528\u4e8e\u6807\u6ce8\u51fd\u6570\u3001\u7c7b\u3001\u6d4b\u8bd5\u6837\u4f8b\u7b49\n// \u5185\u5bb9\u6ce8\u91ca\uff0c\u7528\u4e8e\u8be6\u89e3\u4ee3\u7801\n// \u591a\u884c\n// \u6ce8\u91ca\n</code></pre>"},{"location":"chapter_preface/about_the_book/#015","title":"0.1.5. \u672c\u4e66\u7279\u70b9 *","text":"\u9ed8\u8ba4\u6298\u53e0\uff0c\u53ef\u4ee5\u8df3\u8fc7 <p>\u4ee5\u5b9e\u8df5\u4e3a\u4e3b\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5b66\u4e60\u82f1\u8bed\u671f\u95f4\u5149\u5543\u4e66\u672c\u662f\u8fdc\u8fdc\u4e0d\u591f\u7684\uff0c\u9700\u8981\u591a\u542c\u3001\u591a\u8bf4\u3001\u591a\u5199\uff0c\u5728\u5b9e\u8df5\u4e2d\u57f9\u517b\u8bed\u611f\u3001\u79ef\u7d2f\u7ecf\u9a8c\u3002\u7f16\u7a0b\u8bed\u8a00\u4e5f\u662f\u4e00\u95e8\u8bed\u8a00\uff0c\u56e0\u6b64\u5b66\u4e60\u65b9\u6cd5\u4e5f\u5e94\u662f\u7c7b\u4f3c\u7684\uff0c\u9700\u8981\u591a\u770b\u4f18\u79c0\u4ee3\u7801\u3001\u591a\u6572\u952e\u76d8\u3001\u591a\u601d\u8003\u4ee3\u7801\u903b\u8f91\u3002</p> <p>\u672c\u4e66\u7684\u7406\u8bba\u90e8\u5206\u5360\u5c11\u91cf\u7bc7\u5e45\uff0c\u4e3b\u8981\u5206\u4e3a\u4e24\u7c7b\uff1a\u4e00\u662f\u57fa\u7840\u4e14\u5fc5\u8981\u7684\u6982\u5ff5\u77e5\u8bc6\uff0c\u4ee5\u57f9\u517b\u8bfb\u8005\u5bf9\u4e8e\u7b97\u6cd5\u7684\u611f\u6027\u8ba4\u8bc6\uff1b\u4e8c\u662f\u91cd\u8981\u7684\u5206\u7c7b\u3001\u5bf9\u6bd4\u6216\u603b\u7ed3\uff0c\u8fd9\u662f\u4e3a\u4e86\u5e2e\u52a9\u4f60\u7ad9\u5728\u66f4\u9ad8\u89c6\u89d2\u4fef\u77b0\u5404\u4e2a\u77e5\u8bc6\u70b9\uff0c\u5f62\u6210\u8fde\u70b9\u6210\u9762\u7684\u6548\u679c\u3002</p> <p>\u5b9e\u8df5\u90e8\u5206\u4e3b\u8981\u7531\u793a\u4f8b\u548c\u4ee3\u7801\u7ec4\u6210\u3002\u4ee3\u7801\u914d\u6709\u7b80\u8981\u6ce8\u91ca\uff0c\u590d\u6742\u793a\u4f8b\u4f1a\u5c3d\u53ef\u80fd\u5730\u4f7f\u7528\u89c6\u89c9\u5316\u7684\u5f62\u5f0f\u5448\u73b0\u3002\u6211\u5f3a\u70c8\u5efa\u8bae\u8bfb\u8005\u5bf9\u7167\u7740\u4ee3\u7801\u81ea\u5df1\u6572\u4e00\u904d\uff0c\u5982\u679c\u65f6\u95f4\u6709\u9650\uff0c\u4e5f\u81f3\u5c11\u9010\u884c\u8bfb\u3001\u590d\u5236\u5e76\u8fd0\u884c\u4e00\u904d\uff0c\u914d\u5408\u7740\u8bb2\u89e3\u5c06\u4ee3\u7801\u5403\u900f\u3002</p> <p>\u89c6\u89c9\u5316\u5b66\u4e60\u3002\u4fe1\u606f\u65f6\u4ee3\u4ee5\u6765\uff0c\u89c6\u89c9\u5316\u7684\u811a\u6b65\u4ece\u672a\u505c\u6b62\u3002\u5a92\u4f53\u5f62\u5f0f\u7ecf\u5386\u4e86\u6587\u5b57\u77ed\u4fe1\u3001\u56fe\u6587 Email \u3001\u52a8\u56fe\u3001\u77ed\uff08\u957f\uff09\u89c6\u9891\u3001\u4ea4\u4e92\u5f0f Web \u30013D \u6e38\u620f\u7b49\u6f14\u53d8\u8fc7\u7a0b\uff0c\u4fe1\u606f\u7684\u89c6\u89c9\u5316\u7a0b\u5ea6\u8d8a\u6765\u8d8a\u9ad8\u3001\u6108\u52a0\u7b26\u5408\u4eba\u7c7b\u611f\u5b98\u3001\u4fe1\u606f\u4f20\u64ad\u6548\u7387\u5927\u5927\u63d0\u5347\u3002\u79d1\u6280\u754c\u4e5f\u5728\u5411\u89c6\u89c9\u5316\u8fc8\u8fdb\uff0ciPhone \u5c31\u662f\u4e00\u4e2a\u5178\u578b\u4f8b\u5b50\uff0c\u5176\u76f8\u5bf9\u4e8e\u4f20\u7edf\u624b\u673a\u662f\u9ad8\u5ea6\u89c6\u89c9\u5316\u7684\uff0c\u5305\u542b\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u5b57\u4f53\u3001\u4e3b\u9898\u914d\u8272\u3001\u4ea4\u4e92\u52a8\u753b\u7b49\u3002</p> <p>\u8fd1\u4e24\u5e74\uff0c\u77ed\u89c6\u9891\u6210\u4e3a\u6700\u53d7\u6b22\u8fce\u7684\u4fe1\u606f\u5a92\u4ecb\uff0c\u53ef\u4ee5\u5728\u77ed\u65f6\u95f4\u5185\u5c06\u9ad8\u5bc6\u5ea6\u7684\u4fe1\u606f\u201c\u704c\u201d\u7ed9\u6211\u4eec\uff0c\u6709\u7740\u6781\u5176\u8212\u9002\u7684\u89c2\u770b\u4f53\u9a8c\u3002\u9605\u8bfb\u5219\u4e0d\u7136\uff0c\u8bfb\u8005\u4e0e\u4e66\u672c\u4e4b\u95f4\u5929\u7136\u5b58\u5728\u4e00\u79cd\u201c\u758f\u79bb\u611f\u201d\uff0c\u6211\u4eec\u770b\u4e66\u4f1a\u7d2f\u3001\u4f1a\u8d70\u795e\u3001\u4f1a\u505c\u4e0b\u6765\u60f3\u5176\u4ed6\u4e8b\u3001\u4f1a\u5212\u4e0b\u559c\u6b22\u7684\u53e5\u5b50\u3001\u4f1a\u601d\u8003\u67d0\u4e00\u7247\u6bb5\u7684\u542b\u4e49\uff0c\u8fd9\u79cd\u758f\u79bb\u611f\u7ed9\u4e86\u8bfb\u8005\u4e0e\u4e66\u672c\u4e4b\u95f4\u5bf9\u8bdd\u7684\u53ef\u80fd\uff0c\u62d3\u5bbd\u4e86\u60f3\u8c61\u7a7a\u95f4\u3002</p> <p>\u672c\u4e66\u4f5c\u4e3a\u4e00\u672c\u5165\u95e8\u6559\u6750\uff0c\u5e0c\u671b\u53ef\u4ee5\u4fdd\u6709\u4e66\u672c\u7684\u201c\u6162\u8282\u594f\u201d\uff0c\u4f46\u4e5f\u4f1a\u907f\u514d\u4e0e\u8bfb\u8005\u4ea7\u751f\u8fc7\u591a\u201c\u758f\u79bb\u611f\u201d\uff0c\u800c\u662f\u52aa\u529b\u5c06\u77e5\u8bc6\u5b8c\u6574\u6e05\u6670\u5730\u63a8\u9001\u5230\u4f60\u806a\u660e\u7684\u5c0f\u8111\u888b\u74dc\u4e2d\u3002\u6211\u5c06\u91c7\u7528\u89c6\u89c9\u5316\u7684\u65b9\u5f0f\uff08\u4f8b\u5982\u914d\u56fe\u3001\u52a8\u753b\uff09\uff0c\u5c3d\u6211\u53ef\u80fd\u6e05\u6670\u6613\u61c2\u5730\u8bb2\u89e3\u590d\u6742\u6982\u5ff5\u548c\u62bd\u8c61\u793a\u4f8b\u3002</p> <p>\u5185\u5bb9\u7cbe\u7b80\u5316\u3002\u5927\u591a\u6570\u7684\u7ecf\u5178\u6559\u79d1\u4e66\uff0c\u4f1a\u628a\u6bcf\u4e2a\u4e3b\u9898\u90fd\u8bb2\u7684\u5f88\u900f\u5f7b\u3002\u867d\u7136\u900f\u5f7b\u6027\u6b63\u662f\u5176\u83b7\u5f97\u8bfb\u8005\u9752\u7750\u7684\u539f\u56e0\uff0c\u4f46\u5bf9\u4e8e\u60f3\u8981\u5feb\u901f\u5165\u95e8\u7684\u521d\u5b66\u8005\u6765\u8bf4\uff0c\u8fd9\u4e9b\u6559\u6750\u7684\u5b9e\u7528\u6027\u4e0d\u8db3\u3002\u672c\u4e66\u4f1a\u907f\u514d\u5f15\u5165\u975e\u5fc5\u8981\u7684\u6982\u5ff5\u3001\u540d\u8bcd\u3001\u5b9a\u4e49\u7b49\uff0c\u4e5f\u907f\u514d\u5c55\u5f00\u4e0d\u5fc5\u8981\u7684\u7406\u8bba\u5206\u6790\uff0c\u6bd5\u7adf\u8fd9\u4e0d\u662f\u4e00\u672c\u771f\u6b63\u610f\u4e49\u4e0a\u7684\u6559\u6750\uff0c\u4e3b\u8981\u4efb\u52a1\u662f\u5c3d\u5feb\u5730\u5e26\u9886\u8bfb\u8005\u5165\u95e8\u3002</p> <p>\u5f15\u5165\u4e00\u4e9b\u751f\u6d3b\u6848\u4f8b\u6216\u8da3\u5473\u5185\u5bb9\uff0c\u975e\u5e38\u9002\u5408\u4f5c\u4e3a\u77e5\u8bc6\u70b9\u7684\u5f15\u5b50\u6216\u8005\u89e3\u91ca\u7684\u8865\u5145\uff0c\u4f46\u5f53\u878d\u5165\u8fc7\u591a\u989d\u5916\u5143\u7d20\u65f6\uff0c\u5185\u5bb9\u4f1a\u7a0d\u663e\u5197\u957f\uff0c\u4e5f\u8bb8\u53cd\u800c\u4f7f\u8bfb\u8005\u5bb9\u6613\u8ff7\u5931\u3001\u6293\u4e0d\u4f4f\u91cd\u70b9\uff0c\u8fd9\u4e5f\u662f\u672c\u4e66\u9700\u8981\u907f\u514d\u7684\u3002</p> <p>\u6572\u4ee3\u7801\u5982\u540c\u5199\u5b57\uff0c\u201c\u7f8e\u201d\u662f\u7edf\u4e00\u7684\u8ffd\u6c42\u3002\u672c\u4e66\u529b\u6c42\u7f8e\u89c2\u7684\u4ee3\u7801\uff0c\u4fdd\u8bc1\u89c4\u8303\u7684\u53d8\u91cf\u547d\u540d\u3001\u7edf\u4e00\u7684\u7a7a\u683c\u4e0e\u6362\u884c\u3001\u5bf9\u9f50\u7684\u7f29\u8fdb\u3001\u6574\u9f50\u7684\u6ce8\u91ca\u7b49\u3002</p>"},{"location":"chapter_preface/about_the_book/#016","title":"0.1.6. \u81f4\u8c22","text":"<p>\u672c\u4e66\u7684\u6210\u4e66\u8fc7\u7a0b\u4e2d\uff0c\u6211\u83b7\u5f97\u4e86\u8bb8\u591a\u4eba\u7684\u5e2e\u52a9\uff0c\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\uff1a</p> <ul> <li>\u611f\u8c22\u6211\u7684\u5973\u670b\u53cb\u6ce1\u6ce1\u62c5\u4efb\u672c\u4e66\u7684\u9996\u4f4d\u8bfb\u8005\uff0c\u4ece\u7b97\u6cd5\u5c0f\u767d\u7684\u89c6\u89d2\u4e3a\u672c\u4e66\u7684\u5199\u4f5c\u63d0\u51fa\u4e86\u8bb8\u591a\u5efa\u8bae\uff0c\u4f7f\u8fd9\u672c\u4e66\u66f4\u52a0\u9002\u5408\u7b97\u6cd5\u521d\u5b66\u8005\u6765\u9605\u8bfb\u3002</li> <li>\u611f\u8c22\u817e\u5b9d\u3001\u7426\u5b9d\u3001\u98de\u5b9d\u4e3a\u672c\u4e66\u8d77\u4e86\u4e2a\u54cd\u5f53\u5f53\u7684\u540d\u5b57\uff0c\u597d\u542c\u53c8\u6709\u6897\uff0c\u76f4\u63a5\u5524\u8d77\u6211\u6700\u521d\u6572\u4e0b\u7b2c\u4e00\u884c\u4ee3\u7801 \"Hello, World!\" \u7684\u56de\u5fc6\u3002</li> <li>\u611f\u8c22\u6211\u7684\u5bfc\u5e08\u674e\u535a\uff0c\u5728\u5c0f\u914c\u7545\u8c08\u65f6\u60a8\u544a\u8bc9\u6211\u201c\u89c9\u5f97\u5e94\u8be5\u505a\u5c31\u53bb\u505a\u201d\uff0c\u575a\u5b9a\u4e86\u6211\u5199\u8fd9\u672c\u4e66\u7684\u51b3\u5fc3\u3002</li> <li>\u611f\u8c22\u82cf\u6f7c\u4e3a\u672c\u4e66\u8bbe\u8ba1\u4e86\u5c01\u9762\u548c LOGO \uff0c\u6211\u6709\u4e9b\u5f3a\u8feb\u75c7\uff0c\u524d\u540e\u591a\u6b21\u4fee\u6539\uff0c\u8c22\u8c22\u4f60\u7684\u8010\u5fc3\u3002</li> <li>\u611f\u8c22 @squidfunk \u7ed9\u51fa\u7684\u5199\u4f5c\u6392\u7248\u5efa\u8bae\uff0c\u4ee5\u53ca\u4f18\u79c0\u5f00\u6e90\u9879\u76ee Material-for-MkDocs \u3002</li> </ul> <p>\u672c\u4e66\u9f13\u52b1\u201c\u624b\u8111\u5e76\u7528\u201d\u7684\u5b66\u4e60\u65b9\u5f0f\uff0c\u5728\u8fd9\u70b9\u4e0a\u53d7\u5230\u4e86\u300a\u52a8\u624b\u5b66\u6df1\u5ea6\u5b66\u4e60\u300b\u5f88\u5927\u5f71\u54cd\uff0c\u4e5f\u5728\u6b64\u5411\u5404\u4f4d\u540c\u5b66\u5f3a\u70c8\u63a8\u8350\u8fd9\u672c\u8457\u4f5c\uff0c\u5305\u62ec\u4e2d\u6587\u7248\u3001\u82f1\u6587\u7248\u3001\u674e\u6c90\u8001\u5e08 bilibili \u4e3b\u9875\u3002</p> <p>\u5728\u5199\u4f5c\u8fc7\u7a0b\u4e2d\uff0c\u6211\u9605\u8bfb\u4e86\u8bb8\u591a\u4e0e\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u7684\u4e66\u7c4d\u4e0e\u6559\u6750\uff0c\u8fd9\u4e9b\u8457\u4f5c\u4e3a\u672c\u4e66\u4f5c\u51fa\u4e86\u5f88\u597d\u7684\u699c\u6837\uff0c\u4fdd\u8bc1\u4e86\u672c\u4e66\u5185\u5bb9\u7684\u6b63\u786e\u6027\u4e0e\u8d28\u91cf\uff0c\u611f\u8c22\u524d\u8f88\u4eec\u7684\u7cbe\u5f69\u521b\u4f5c\uff01</p> <p>\u611f\u8c22\u7236\u6bcd\uff0c\u4f60\u4eec\u4e00\u8d2f\u7684\u652f\u6301\u4e0e\u9f13\u52b1\u7ed9\u4e86\u6211\u81ea\u7531\u5ea6\u6765\u505a\u8fd9\u4e9b\u6709\u8da3\u7684\u4e8b\u3002</p>"},{"location":"chapter_preface/about_the_book/#017","title":"0.1.7. \u4f5c\u8005\u7b80\u4ecb Krahets","text":"\u5927\u5382\u9ad8\u7ea7\u7b97\u6cd5\u5de5\u7a0b\u5e08\u3001\u7b97\u6cd5\u7231\u597d\u8005  <p> \u529b\u6263\uff08LeetCode\uff09\u5168\u7f51\u9605\u8bfb\u91cf\u6700\u9ad8\u535a\u4e3b </p> <p> \u5206\u4eab\u8fd1\u767e\u9053\u7b97\u6cd5\u9898\u89e3\uff0c\u7d2f\u79ef\u56de\u590d\u6570\u5343\u8bfb\u8005\u7684\u95ee\u9898 </p> <p> \u53d1\u8868\u7684 LeetBook\u300a\u56fe\u89e3\u7b97\u6cd5\u6570\u636e\u7ed3\u6784\u300b\u5df2\u8ba2\u9605 22 \u4e07\u672c </p>"},{"location":"chapter_preface/contribution/","title":"0.4. \u4e00\u8d77\u53c2\u4e0e\u521b\u4f5c","text":"<p>\u5f00\u6e90\u7684\u9b45\u529b</p> <p>\u7eb8\u8d28\u4e66\u7c4d\u7684\u4e24\u6b21\u5370\u5237\u7684\u95f4\u9694\u65f6\u95f4\u5f80\u5f80\u9700\u8981\u6570\u5e74\uff0c\u5185\u5bb9\u66f4\u65b0\u975e\u5e38\u4e0d\u65b9\u4fbf\u3002\u4f46\u5728\u672c\u5f00\u6e90 HTML \u4e66\u4e2d\uff0c\u5185\u5bb9\u66f4\u8fed\u7684\u65f6\u95f4\u88ab\u7f29\u77ed\u81f3\u6570\u65e5\u751a\u81f3\u51e0\u4e2a\u5c0f\u65f6\u3002</p> <p>\u7531\u4e8e\u4f5c\u8005\u6c34\u5e73\u6709\u9650\uff0c\u4e66\u4e2d\u5185\u5bb9\u96be\u514d\u758f\u6f0f\u8c2c\u8bef\uff0c\u8bf7\u60a8\u8c05\u89e3\u3002\u6b64\u5916\uff0c\u671f\u5f85\u60a8\u53ef\u4ee5\u4e00\u540c\u53c2\u4e0e\u672c\u4e66\u7684\u521b\u4f5c\u3002\u5982\u679c\u53d1\u73b0\u7b14\u8bef\u3001\u65e0\u6548\u94fe\u63a5\u3001\u5185\u5bb9\u7f3a\u5931\u3001\u6587\u5b57\u6b67\u4e49\u3001\u89e3\u91ca\u4e0d\u6e05\u6670\u3001\u884c\u6587\u7ed3\u6784\u4e0d\u5408\u7406\u7b49\u95ee\u9898\uff0c\u70e6\u8bf7\u60a8\u4fee\u6b63\u5185\u5bb9\uff0c\u4ee5\u5e2e\u52a9\u5176\u4ed6\u8bfb\u8005\u83b7\u53d6\u66f4\u4f18\u8d28\u7684\u5b66\u4e60\u5185\u5bb9\u3002\u6240\u6709 \u64b0\u7a3f\u4eba \u5c06\u88ab\u5c55\u793a\u5728\u4ed3\u5e93\u4e3b\u9875\uff0c\u4ee5\u611f\u8c22\u60a8\u5bf9\u5f00\u6e90\u793e\u533a\u7684\u65e0\u79c1\u5949\u732e\u3002</p>"},{"location":"chapter_preface/contribution/#041","title":"0.4.1. \u4fee\u6539\u6587\u5b57\u4e0e\u4ee3\u7801","text":"<p>\u6bcf\u4e2a\u9875\u9762\u7684\u53f3\u4e0a\u89d2\u90fd\u6709\u4e00\u4e2a\u300c\u7f16\u8f91\u300d\u6309\u94ae\uff0c\u4f60\u53ef\u4ee5\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u4fee\u6539\u6587\u7ae0\uff1a</p> <ol> <li>\u70b9\u51fb\u7f16\u8f91\u6309\u94ae\uff0c\u5982\u679c\u9047\u5230\u63d0\u793a\u201c\u9700\u8981 Fork \u6b64\u4ed3\u5e93\u201d\uff0c\u8bf7\u901a\u8fc7\uff1b</li> <li>\u4fee\u6539 Markdown \u6e90\u6587\u4ef6\u5185\u5bb9\uff1b</li> <li>\u5728\u9875\u9762\u5e95\u90e8\u586b\u5199\u66f4\u6539\u8bf4\u660e\uff0c\u7136\u540e\u5355\u51fb\u201cPropose file change\u201d\u6309\u94ae\uff1b</li> <li>\u9875\u9762\u8df3\u8f6c\u540e\uff0c\u70b9\u51fb\u201cCreate pull request\u201d\u6309\u94ae\u53d1\u8d77\u62c9\u53d6\u8bf7\u6c42\u5373\u53ef\uff0c\u6211\u4f1a\u7b2c\u4e00\u65f6\u95f4\u67e5\u770b\u5904\u7406\u5e76\u53ca\u65f6\u66f4\u65b0\u5185\u5bb9\u3002</li> </ol> <p></p>"},{"location":"chapter_preface/contribution/#042","title":"0.4.2. \u4fee\u6539\u56fe\u7247\u4e0e\u52a8\u753b","text":"<p>\u4e66\u4e2d\u7684\u914d\u56fe\u65e0\u6cd5\u76f4\u63a5\u4fee\u6539\uff0c\u9700\u8981\u901a\u8fc7\u4ee5\u4e0b\u9014\u5f84\u63d0\u51fa\u4fee\u6539\u610f\u89c1\uff1a</p> <ol> <li>\u65b0\u5efa\u4e00\u4e2a Issue \uff0c\u5c06\u9700\u8981\u4fee\u6539\u7684\u56fe\u7247\u590d\u5236\u6216\u622a\u56fe\uff0c\u7c98\u8d34\u5728\u9762\u677f\u4e2d\uff1b</li> <li>\u63cf\u8ff0\u56fe\u7247\u95ee\u9898\uff0c\u5e94\u5982\u4f55\u4fee\u6539\uff1b</li> <li>\u63d0\u4ea4 Issue \u5373\u53ef\uff0c\u6211\u4f1a\u7b2c\u4e00\u65f6\u95f4\u91cd\u65b0\u753b\u56fe\u5e76\u66ff\u6362\u56fe\u7247\u3002</li> </ol>"},{"location":"chapter_preface/contribution/#043","title":"0.4.3. \u521b\u4f5c\u65b0\u5185\u5bb9","text":"<p>\u5982\u679c\u60a8\u60f3\u8981\u521b\u4f5c\u65b0\u5185\u5bb9\uff0c\u4f8b\u5982 \u91cd\u5199\u7ae0\u8282\u3001\u65b0\u589e\u7ae0\u8282\u3001\u4fee\u6539\u4ee3\u7801\u3001\u7ffb\u8bd1\u4ee3\u7801\u81f3\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00 \u7b49\uff0c\u90a3\u4e48\u9700\u8981\u5b9e\u65bd Pull Request \u5de5\u4f5c\u6d41\u7a0b\uff1a</p> <ol> <li>\u767b\u5f55 GitHub \uff0c\u5e76 Fork \u672c\u4ed3\u5e93 \u81f3\u4e2a\u4eba\u8d26\u53f7\uff1b</li> <li>\u8fdb\u5165 Fork \u4ed3\u5e93\u7f51\u9875\uff0c\u4f7f\u7528 <code>git clone</code> \u514b\u9686\u8be5\u4ed3\u5e93\u81f3\u672c\u5730\uff1b</li> <li>\u5728\u672c\u5730\u8fdb\u884c\u5185\u5bb9\u521b\u4f5c\uff08\u5efa\u8bae\u901a\u8fc7\u8fd0\u884c\u6d4b\u8bd5\u6765\u9a8c\u8bc1\u4ee3\u7801\u6b63\u786e\u6027\uff09\uff1b</li> <li>\u5c06\u672c\u5730\u66f4\u6539 Commit \uff0c\u5e76 Push \u81f3\u8fdc\u7a0b\u4ed3\u5e93\uff1b</li> <li>\u5237\u65b0\u4ed3\u5e93\u7f51\u9875\uff0c\u70b9\u51fb\u201cCreate pull request\u201d\u6309\u94ae\u53d1\u8d77\u62c9\u53d6\u8bf7\u6c42\uff08Pull Request\uff09\u5373\u53ef\uff1b</li> </ol> <p>\u975e\u5e38\u6b22\u8fce\u60a8\u548c\u6211\u4e00\u540c\u6765\u521b\u4f5c\u672c\u4e66\uff01</p>"},{"location":"chapter_preface/contribution/#044-hello-algo","title":"0.4.4. \u672c\u5730\u90e8\u7f72 hello-algo","text":""},{"location":"chapter_preface/contribution/#docker","title":"Docker","text":"<p>\u8bf7\u786e\u4fdd Docker \u5df2\u7ecf\u5b89\u88c5\u5e76\u542f\u52a8\uff0c\u5e76\u6839\u636e\u5982\u4e0b\u547d\u4ee4\u79bb\u7ebf\u90e8\u7f72\u3002</p> <p>\u7a0d\u7b49\u7247\u523b\uff0c\u5373\u53ef\u4f7f\u7528\u6d4f\u89c8\u5668\u6253\u5f00 <code>http://localhost:8000</code> \u8bbf\u95ee\u672c\u9879\u76ee\u3002</p> <pre><code>git clone https://github.com/krahets/hello-algo.git\ncd hello-algo\n\ndocker-compose up -d\n</code></pre> <p>\u4f7f\u7528\u5982\u4e0b\u547d\u4ee4\u5373\u53ef\u5220\u9664\u90e8\u7f72\u3002</p> <pre><code>docker-compose down\n</code></pre> <p>\uff08TODO\uff1a\u6559\u5b66\u89c6\u9891\uff09</p>"},{"location":"chapter_preface/installation/","title":"0.3. \u7f16\u7a0b\u73af\u5883\u5b89\u88c5","text":"<p>\uff08TODO \u89c6\u9891\u6559\u7a0b\uff09</p>"},{"location":"chapter_preface/installation/#031-vscode","title":"0.3.1. \u5b89\u88c5 VSCode","text":"<p>\u672c\u4e66\u63a8\u8350\u4f7f\u7528\u5f00\u6e90\u8f7b\u91cf\u7684 VSCode \u4f5c\u4e3a\u672c\u5730 IDE \uff0c\u4e0b\u8f7d\u5e76\u5b89\u88c5 VSCode \u3002</p>"},{"location":"chapter_preface/installation/#032-java","title":"0.3.2. Java \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 OpenJDK\uff08\u7248\u672c\u9700\u6ee1\u8db3 &gt; JDK 9\uff09\u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>java</code> \uff0c\u5b89\u88c5 Java Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#033-cc","title":"0.3.3. C/C++ \u73af\u5883","text":"<ol> <li>Windows \u7cfb\u7edf\u9700\u8981\u5b89\u88c5 MinGW\uff08\u914d\u7f6e\u6559\u7a0b\uff09\uff0cMacOS \u81ea\u5e26 Clang \u65e0\u9700\u5b89\u88c5\u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>c++</code> \uff0c\u5b89\u88c5 C/C++ Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#034-python","title":"0.3.4. Python \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Miniconda3 \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>python</code> \uff0c\u5b89\u88c5 Python Extension Pack \u3002</li> </ol>"},{"location":"chapter_preface/installation/#035-go","title":"0.3.5. Go \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 go \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>go</code> \uff0c\u5b89\u88c5 Go \u3002</li> <li>\u5feb\u6377\u952e <code>Ctrl + Shift + P</code> \u547c\u51fa\u547d\u4ee4\u680f\uff0c\u8f93\u5165 go \uff0c\u9009\u62e9 <code>Go: Install/Update Tools</code> \uff0c\u5168\u90e8\u52fe\u9009\u5e76\u5b89\u88c5\u5373\u53ef\u3002</li> </ol>"},{"location":"chapter_preface/installation/#036-javascript","title":"0.3.6. JavaScript \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 node.js \u3002</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>javascript</code> \uff0c\u5b89\u88c5 JavaScript (ES6) code snippets \u3002</li> </ol>"},{"location":"chapter_preface/installation/#037-c","title":"0.3.7. C# \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 .Net 6.0 \uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>c#</code> \uff0c\u5b89\u88c5 c# \u3002</li> </ol>"},{"location":"chapter_preface/installation/#038-swift","title":"0.3.8. Swift \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Swift\uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>swift</code>\uff0c\u5b89\u88c5 Swift for Visual Studio Code\u3002</li> </ol>"},{"location":"chapter_preface/installation/#039-rust","title":"0.3.9. Rust \u73af\u5883","text":"<ol> <li>\u4e0b\u8f7d\u5e76\u5b89\u88c5 Rust\uff1b</li> <li>\u5728 VSCode \u7684\u63d2\u4ef6\u5e02\u573a\u4e2d\u641c\u7d22 <code>rust</code>\uff0c\u5b89\u88c5 rust-analyzer\u3002</li> </ol>"},{"location":"chapter_preface/suggestions/","title":"0.2. \u5982\u4f55\u4f7f\u7528\u672c\u4e66","text":""},{"location":"chapter_preface/suggestions/#021","title":"0.2.1. \u56fe\u6587\u642d\u914d\u5b66","text":"<p>\u89c6\u9891\u548c\u56fe\u7247\u76f8\u6bd4\u4e8e\u6587\u5b57\u7684\u4fe1\u606f\u5bc6\u5ea6\u548c\u7ed3\u6784\u5316\u7a0b\u5ea6\u66f4\u9ad8\uff0c\u66f4\u5bb9\u6613\u8ba9\u4eba\u7406\u89e3\u3002\u5728\u672c\u4e66\u4e2d\uff0c\u91cd\u70b9\u548c\u96be\u70b9\u77e5\u8bc6\u4f1a\u4e3b\u8981\u4ee5\u52a8\u753b\u3001\u56fe\u89e3\u7684\u5f62\u5f0f\u5448\u73b0\uff0c\u800c\u6587\u5b57\u7684\u4f5c\u7528\u5219\u662f\u4f5c\u4e3a\u52a8\u753b\u548c\u56fe\u7684\u89e3\u91ca\u4e0e\u8865\u5145\u3002</p> <p>\u5728\u9605\u8bfb\u672c\u4e66\u7684\u8fc7\u7a0b\u4e2d\uff0c\u82e5\u53d1\u73b0\u67d0\u6bb5\u5185\u5bb9\u63d0\u4f9b\u4e86\u52a8\u753b\u6216\u56fe\u89e3\uff0c\u5efa\u8bae\u4f60\u4ee5\u56fe\u4e3a\u4e3b\u7ebf\uff0c\u5c06\u6587\u5b57\u5185\u5bb9\uff08\u4e00\u822c\u5728\u56fe\u7684\u4e0a\u65b9\uff09\u5bf9\u9f50\u5230\u56fe\u4e2d\u5185\u5bb9\uff0c\u7efc\u5408\u6765\u7406\u89e3\u3002</p> <p></p>"},{"location":"chapter_preface/suggestions/#022","title":"0.2.2. \u4ee3\u7801\u5b9e\u8df5\u5b66","text":"<p>\u524d\u7f6e\u5de5\u4f5c</p> <p>\u5982\u679c\u6ca1\u6709\u672c\u5730\u7f16\u7a0b\u73af\u5883\uff0c\u53ef\u4ee5\u53c2\u7167\u4e0b\u8282 \u7f16\u7a0b\u73af\u5883\u5b89\u88c5 \u3002</p>"},{"location":"chapter_preface/suggestions/#_1","title":"\u4e0b\u8f7d\u4ee3\u7801\u4ed3","text":"<p>\u5982\u679c\u5df2\u7ecf\u5b89\u88c5 Git \uff0c\u53ef\u4ee5\u901a\u8fc7\u547d\u4ee4\u884c\u6765\u514b\u9686\u4ee3\u7801\u4ed3\u3002</p> <pre><code>git clone https://github.com/krahets/hello-algo.git\n</code></pre> <p>\u5f53\u7136\uff0c\u4f60\u4e5f\u53ef\u4ee5\u70b9\u51fb\u201cDownload ZIP\u201d\u76f4\u63a5\u4e0b\u8f7d\u4ee3\u7801\u538b\u7f29\u5305\uff0c\u89e3\u538b\u5373\u53ef\u3002</p> <p></p>"},{"location":"chapter_preface/suggestions/#_2","title":"\u8fd0\u884c\u6e90\u4ee3\u7801","text":"<p>\u672c\u4e66\u63d0\u4f9b\u914d\u5957 Java, C++, Python \u4ee3\u7801\u4ed3\uff08\u540e\u7eed\u53ef\u80fd\u62d3\u5c55\u652f\u6301\u8bed\u8a00\uff09\u3002\u4e66\u4e2d\u7684\u4ee3\u7801\u680f\u4e0a\u82e5\u6807\u6709 <code>*.java</code> , <code>*.cpp</code> , <code>*.py</code> \uff0c\u5219\u53ef\u5728\u4ed3\u5e93 codes \u6587\u4ef6\u5939\u4e2d\u627e\u5230\u5bf9\u5e94\u7684 \u4ee3\u7801\u6e90\u6587\u4ef6\u3002</p> <p></p> <p>\u8fd9\u4e9b\u6e90\u6587\u4ef6\u4e2d\u5305\u542b\u8be6\u7ec6\u6ce8\u91ca\uff0c\u914d\u6709\u6d4b\u8bd5\u6837\u4f8b\uff0c\u53ef\u4ee5\u76f4\u63a5\u8fd0\u884c\uff0c\u5e2e\u52a9\u4f60\u7701\u53bb\u4e0d\u5fc5\u8981\u7684\u8c03\u8bd5\u65f6\u95f4\uff0c\u53ef\u4ee5\u5c06\u7cbe\u529b\u96c6\u4e2d\u5728\u5b66\u4e60\u5185\u5bb9\u4e0a\u3002</p> <p></p> <p>\u4ee3\u7801\u5b66\u4e60\u5efa\u8bae</p> <p>\u82e5\u5b66\u4e60\u65f6\u95f4\u7d27\u5f20\uff0c\u8bf7\u81f3\u5c11\u5c06\u6240\u6709\u4ee3\u7801\u901a\u8bfb\u5e76\u8fd0\u884c\u4e00\u904d\u3002\u82e5\u65f6\u95f4\u5141\u8bb8\uff0c\u5f3a\u70c8\u5efa\u8bae\u5bf9\u7167\u7740\u4ee3\u7801\u81ea\u5df1\u6572\u4e00\u904d\uff0c\u9010\u6e10\u953b\u70bc\u808c\u8089\u8bb0\u5fc6\u3002\u76f8\u6bd4\u4e8e\u8bfb\u4ee3\u7801\uff0c\u5199\u4ee3\u7801\u7684\u8fc7\u7a0b\u5f80\u5f80\u80fd\u5e26\u6765\u65b0\u7684\u6536\u83b7\u3002</p>"},{"location":"chapter_preface/suggestions/#023","title":"0.2.3. \u63d0\u95ee\u8ba8\u8bba\u5b66","text":"<p>\u9605\u8bfb\u672c\u4e66\u65f6\uff0c\u8bf7\u4e0d\u8981\u201c\u60ef\u7740\u201d\u90a3\u4e9b\u5f04\u4e0d\u660e\u767d\u7684\u77e5\u8bc6\u70b9\u3002\u5982\u679c\u6709\u4efb\u4f55\u7591\u60d1\uff0c\u53ef\u4ee5\u5728\u8bc4\u8bba\u533a\u7559\u4e0b\u4f60\u7684\u95ee\u9898\uff0c\u5c0f\u4f19\u4f34\u4eec\u548c\u6211\u90fd\u4f1a\u7ed9\u4e88\u89e3\u7b54\uff08\u60a8\u4e00\u822c 3 \u5929\u5185\u4f1a\u5f97\u5230\u56de\u590d\uff09\u3002</p> <p>\u540c\u65f6\uff0c\u4e5f\u5e0c\u671b\u4f60\u53ef\u4ee5\u591a\u82b1\u65f6\u95f4\u901b\u901b\u8bc4\u8bba\u533a\u3002\u4e00\u65b9\u9762\uff0c\u53ef\u4ee5\u770b\u770b\u5927\u5bb6\u9047\u5230\u4e86\u4ec0\u4e48\u95ee\u9898\uff0c\u53cd\u8fc7\u6765\u67e5\u6f0f\u8865\u7f3a\uff0c\u8fd9\u5f80\u5f80\u53ef\u4ee5\u5f15\u8d77\u66f4\u52a0\u6df1\u5ea6\u7684\u601d\u8003\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u4e5f\u5e0c\u671b\u4f60\u53ef\u4ee5\u6177\u6168\u5730\u89e3\u7b54\u5c0f\u4f19\u4f34\u4eec\u7684\u95ee\u9898\u3001\u5206\u4eab\u81ea\u5df1\u7684\u89c1\u89e3\uff0c\u5927\u5bb6\u4e00\u8d77\u52a0\u6cb9\u4e0e\u8fdb\u6b65\uff01</p> <p></p>"},{"location":"chapter_preface/suggestions/#024","title":"0.2.4. \u7b97\u6cd5\u5b66\u4e60\u201c\u4e09\u6b65\u8d70\u201d","text":"<p>\u7b2c\u4e00\u9636\u6bb5\uff0c\u7b97\u6cd5\u5165\u95e8\uff0c\u4e5f\u6b63\u662f\u672c\u4e66\u7684\u5b9a\u4f4d\u3002\u719f\u6089\u5404\u79cd\u6570\u636e\u7ed3\u6784\u7684\u7279\u70b9\u3001\u7528\u6cd5\uff0c\u5b66\u4e60\u5404\u79cd\u7b97\u6cd5\u7684\u5de5\u4f5c\u539f\u7406\u3001\u7528\u9014\u3001\u6548\u7387\u7b49\u3002</p> <p>\u7b2c\u4e8c\u9636\u6bb5\uff0c\u5237\u7b97\u6cd5\u9898\u3002\u53ef\u4ee5\u5148\u4ece\u70ed\u95e8\u9898\u5355\u5f00\u5237\uff0c\u63a8\u8350 \u5251\u6307 Offer\u3001LeetCode \u70ed\u9898 HOT 100 \uff0c\u5148\u79ef\u7d2f\u81f3\u5c11 100 \u9053\u9898\u91cf\uff0c\u719f\u6089\u5927\u591a\u6570\u7684\u7b97\u6cd5\u95ee\u9898\u3002\u521a\u5f00\u59cb\u5237\u9898\u65f6\uff0c\u201c\u9057\u5fd8\u201d\u662f\u6700\u5927\u7684\u56f0\u6270\u70b9\uff0c\u4f46\u8fd9\u662f\u5f88\u6b63\u5e38\u7684\uff0c\u8bf7\u4e0d\u8981\u62c5\u5fc3\u3002\u5b66\u4e60\u4e2d\u6709\u4e00\u79cd\u6982\u5ff5\u53eb\u201c\u5468\u671f\u6027\u56de\u987e\u201d\uff0c\u540c\u4e00\u9053\u9898\u9694\u6bb5\u65f6\u95f4\u505a\u4e00\u6b21\uff0c\u5f53\u505a\u4e86\u4e09\u904d\u4ee5\u4e0a\uff0c\u5f80\u5f80\u5c31\u80fd\u7262\u8bb0\u4e8e\u5fc3\u4e86\u3002</p> <p>\u7b2c\u4e09\u9636\u6bb5\uff0c\u642d\u5efa\u77e5\u8bc6\u4f53\u7cfb\u3002\u5728\u5b66\u4e60\u65b9\u9762\uff0c\u53ef\u4ee5\u9605\u8bfb\u7b97\u6cd5\u4e13\u680f\u6587\u7ae0\u3001\u89e3\u9898\u6846\u67b6\u3001\u7b97\u6cd5\u6559\u6750\uff0c\u4e0d\u65ad\u5730\u4e30\u5bcc\u77e5\u8bc6\u4f53\u7cfb\u3002\u5728\u5237\u9898\u65b9\u9762\uff0c\u53ef\u4ee5\u5f00\u59cb\u91c7\u7528\u8fdb\u9636\u5237\u9898\u65b9\u6848\uff0c\u4f8b\u5982\u6309\u4e13\u9898\u5206\u7c7b\u3001\u4e00\u9898\u591a\u89e3\u3001\u4e00\u89e3\u591a\u9898\u7b49\uff0c\u5237\u9898\u65b9\u6848\u5728\u793e\u533a\u4e2d\u53ef\u4ee5\u627e\u5230\u4e00\u4e9b\u8bb2\u89e3\uff0c\u5728\u6b64\u4e0d\u505a\u8d58\u8ff0\u3002</p> <p></p>"},{"location":"chapter_reference/","title":"\u53c2\u8003\u6587\u732e","text":"<p>[1] Thomas H. Cormen, et al. Introduction to Algorithms (3rd Edition).</p> <p>[2] Aditya Bhargava. Grokking Algorithms: An Illustrated Guide for Programmers and Other Curious People (1st Edition).</p> <p>[3] \u7a0b\u6770. \u5927\u8bdd\u6570\u636e\u7ed3\u6784.</p> <p>[4] \u738b\u4e89. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u4e4b\u7f8e.</p> <p>[5] \u4e25\u851a\u654f. \u6570\u636e\u7ed3\u6784\uff08 C \u8bed\u8a00\u7248\uff09.</p> <p>[6] \u9093\u4fca\u8f89. \u6570\u636e\u7ed3\u6784\uff08 C++ \u8bed\u8a00\u7248\uff0c\u7b2c\u4e09\u7248\uff09.</p> <p>[7] \u9a6c\u514b\u00b7\u827e\u4f26\u00b7\u7ef4\u65af\u8457\uff0c\u9648\u8d8a\u8bd1. \u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5206\u6790\uff1aJava\u8bed\u8a00\u63cf\u8ff0\uff08\u7b2c\u4e09\u7248\uff09.</p> <p>[8] Gayle Laakmann McDowell. Cracking the Coding Interview: 189 Programming Questions and Solutions (6th Edition). </p>"},{"location":"chapter_searching/binary_search/","title":"10.2. \u4e8c\u5206\u67e5\u627e","text":"<p>\u300c\u4e8c\u5206\u67e5\u627e Binary Search\u300d\u5229\u7528\u6570\u636e\u7684\u6709\u5e8f\u6027\uff0c\u901a\u8fc7\u6bcf\u8f6e\u7f29\u5c0f\u4e00\u534a\u641c\u7d22\u533a\u95f4\u6765\u67e5\u627e\u76ee\u6807\u5143\u7d20\u3002</p> <p>\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u6709\u4e24\u4e2a\u524d\u7f6e\u6761\u4ef6\uff1a</p> <ul> <li>\u8981\u6c42\u8f93\u5165\u6570\u636e\u662f\u6709\u5e8f\u7684\uff0c\u8fd9\u6837\u624d\u80fd\u901a\u8fc7\u5224\u65ad\u5927\u5c0f\u5173\u7cfb\u6765\u6392\u9664\u4e00\u534a\u7684\u641c\u7d22\u533a\u95f4\uff1b</li> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\uff0c\u800c\u5728\u94fe\u8868\u4e2d\u4f7f\u7528\u6548\u7387\u5f88\u4f4e\uff0c\u56e0\u4e3a\u5176\u5728\u5faa\u73af\u4e2d\u9700\u8981\u8df3\u8dc3\u5f0f\uff08\u975e\u8fde\u7eed\u5730\uff09\u8bbf\u95ee\u5143\u7d20\u3002</li> </ul>"},{"location":"chapter_searching/binary_search/#1021","title":"10.2.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6392\u5e8f\u6570\u7ec4 <code>nums</code> \uff0c\u5143\u7d20\u4ece\u5c0f\u5230\u5927\u6392\u5217\u3002\u6570\u7ec4\u7684\u7d22\u5f15\u53d6\u503c\u8303\u56f4\u4e3a</p> \\[ 0, 1, 2, \\cdots, n-1 \\] <p>\u4f7f\u7528\u300c\u533a\u95f4\u300d\u6765\u8868\u793a\u8fd9\u4e2a\u53d6\u503c\u8303\u56f4\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4e24\u79cd\uff1a</p> <ol> <li>\u53cc\u95ed\u533a\u95f4 \\([0, n-1]\\) \uff0c\u5373\u4e24\u4e2a\u8fb9\u754c\u90fd\u5305\u542b\u81ea\u8eab\uff1b\u6b64\u65b9\u6cd5\u4e0b\uff0c\u533a\u95f4 \\([0, 0]\\) \u4ecd\u5305\u542b\u4e00\u4e2a\u5143\u7d20\uff1b</li> <li>\u5de6\u95ed\u53f3\u5f00 \\([0, n)\\) \uff0c\u5373\u5de6\u8fb9\u754c\u5305\u542b\u81ea\u8eab\u3001\u53f3\u8fb9\u754c\u4e0d\u5305\u542b\u81ea\u8eab\uff1b\u6b64\u65b9\u6cd5\u4e0b\uff0c\u533a\u95f4 \\([0, 0)\\) \u4e3a\u7a7a\uff1b</li> </ol>"},{"location":"chapter_searching/binary_search/#_1","title":"\u201c\u53cc\u95ed\u533a\u95f4\u201d\u5b9e\u73b0","text":"<p>\u9996\u5148\uff0c\u6211\u4eec\u5148\u91c7\u7528\u201c\u53cc\u95ed\u533a\u95f4\u201d\u7684\u8868\u793a\uff0c\u5728\u6570\u7ec4 <code>nums</code> \u4e2d\u67e5\u627e\u76ee\u6807\u5143\u7d20 <code>target</code> \u7684\u5bf9\u5e94\u7d22\u5f15\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4e8c\u5206\u67e5\u627e\u201c\u53cc\u95ed\u533a\u95f4\u201d\u8868\u793a\u4e0b\u7684\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search.java<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(int[] nums, int target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.cpp<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(vector&lt;int&gt;&amp; nums, int target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.size() - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.py<pre><code>\"\"\" \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 \"\"\"\ndef binary_search(nums, target):\n# \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\ni, j = 0, len(nums) - 1\nwhile i &lt;= j:\nm = (i + j) // 2        # \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target:    # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\nelif nums[m] &gt; target:  # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\nelse:\nreturn m            # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn -1                   # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> binary_search.go<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunc binarySearch(nums []int, target int) int {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\ni, j := 0, len(nums)-1\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nfor i &lt;= j {\nm := (i + j) / 2      // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.js<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunction binarySearch(nums, target) {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nlet i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nlet m = parseInt((i + j) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m \uff0c\u5728 JS \u4e2d\u9700\u4f7f\u7528 parseInt \u51fd\u6570\u53d6\u6574\nif (nums[m] &lt; target)          // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target)     // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse\nreturn m;                  // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.ts<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunction binarySearch(nums: number[], target: number): number {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nlet i = 0, j = nums.length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nconst m = Math.floor(i + (j - i) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target) {        // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\n} else if (nums[m] &gt; target) { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\n} else {                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n}\nreturn -1; // \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n}\n</code></pre> binary_search.c<pre><code>[class]{}-[func]{binarySearch}\n</code></pre> binary_search.cs<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nint binarySearch(int[] nums, int target)\n{\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nint i = 0, j = nums.Length - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j)\n{\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.swift<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09 */\nfunc binarySearch(nums: [Int], target: Int) -&gt; Int {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nvar i = 0\nvar j = nums.count - 1\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt;= j {\nlet m = (i + j) / 2 // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.zig<pre><code>// \u4e8c\u5206\u67e5\u627e\uff08\u53cc\u95ed\u533a\u95f4\uff09\nfn binarySearch(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u521d\u59cb\u5316\u53cc\u95ed\u533a\u95f4 [0, n-1] \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20\nvar i: usize = 0;\nvar j: usize = nums.items.len - 1;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i &gt; j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nvar m = (i + j) / 2;                    // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums.items[m] &lt; target) {           // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j] \u4e2d\ni = m + 1;\n} else if (nums.items[m] &gt; target) {    // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m-1] \u4e2d\nj = m - 1;\n} else {                                // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn @intCast(T, m);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_searching/binary_search/#_2","title":"\u201c\u5de6\u95ed\u53f3\u5f00\u201d\u5b9e\u73b0","text":"<p>\u5f53\u7136\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u4f7f\u7528\u201c\u5de6\u95ed\u53f3\u5f00\u201d\u7684\u8868\u793a\u65b9\u6cd5\uff0c\u5199\u51fa\u76f8\u540c\u529f\u80fd\u7684\u4e8c\u5206\u67e5\u627e\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search.java<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(int[] nums, int target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.cpp<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(vector&lt;int&gt;&amp; nums, int target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.size();\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.py<pre><code>\"\"\" \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 \"\"\"\ndef binary_search1(nums, target):\n# \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\ni, j = 0, len(nums)\n# \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt; j:\nm = (i + j) // 2        # \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target:    # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\nelif nums[m] &gt; target:  # \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\nelse:                   # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\nreturn -1                   # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> binary_search.go<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunc binarySearch1(nums []int, target int) int {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\ni, j := 0, len(nums)\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nfor i &lt; j {\nm := (i + j) / 2      // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.js<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunction binarySearch1(nums, target) {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nlet i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nlet m = parseInt((i + j) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m \uff0c\u5728 JS \u4e2d\u9700\u4f7f\u7528 parseInt \u51fd\u6570\u53d6\u6574\nif (nums[m] &lt; target)          // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target)     // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                           // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.ts<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunction binarySearch1(nums: number[], target: number): number {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nlet i = 0, j = nums.length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j) {\nconst m = Math.floor(i + (j - i) / 2); // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target) {        // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\n} else if (nums[m] &gt; target) { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\n} else {                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n}\nreturn -1; // \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n}\n</code></pre> binary_search.c<pre><code>[class]{}-[func]{binarySearch1}\n</code></pre> binary_search.cs<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nint binarySearch1(int[] nums, int target)\n{\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nint i = 0, j = nums.Length;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt; j)\n{\nint m = (i + j) / 2;       // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums[m] &lt; target)      // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\nelse if (nums[m] &gt; target) // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\nelse                       // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> binary_search.swift<pre><code>/* \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09 */\nfunc binarySearch1(nums: [Int], target: Int) -&gt; Int {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nvar i = 0\nvar j = nums.count\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile i &lt; j {\nlet m = (i + j) / 2 // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif nums[m] &lt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1\n} else if nums[m] &gt; target { // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m\n} else { // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn m\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> binary_search.zig<pre><code>// \u4e8c\u5206\u67e5\u627e\uff08\u5de6\u95ed\u53f3\u5f00\uff09\nfn binarySearch1(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u521d\u59cb\u5316\u5de6\u95ed\u53f3\u5f00 [0, n) \uff0c\u5373 i, j \u5206\u522b\u6307\u5411\u6570\u7ec4\u9996\u5143\u7d20\u3001\u5c3e\u5143\u7d20+1\nvar i: usize = 0;\nvar j: usize = nums.items.len;\n// \u5faa\u73af\uff0c\u5f53\u641c\u7d22\u533a\u95f4\u4e3a\u7a7a\u65f6\u8df3\u51fa\uff08\u5f53 i = j \u65f6\u4e3a\u7a7a\uff09\nwhile (i &lt;= j) {\nvar m = (i + j) / 2;                    // \u8ba1\u7b97\u4e2d\u70b9\u7d22\u5f15 m\nif (nums.items[m] &lt; target) {           // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [m+1, j) \u4e2d\ni = m + 1;\n} else if (nums.items[m] &gt; target) {    // \u6b64\u60c5\u51b5\u8bf4\u660e target \u5728\u533a\u95f4 [i, m) \u4e2d\nj = m;\n} else {                                // \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn @intCast(T, m);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre>"},{"location":"chapter_searching/binary_search/#_3","title":"\u4e24\u79cd\u8868\u793a\u5bf9\u6bd4","text":"<p>\u5bf9\u6bd4\u4e0b\u6765\uff0c\u4e24\u79cd\u8868\u793a\u7684\u4ee3\u7801\u5199\u6cd5\u6709\u4ee5\u4e0b\u4e0d\u540c\u70b9\uff1a</p> \u8868\u793a\u65b9\u6cd5 \u521d\u59cb\u5316\u6307\u9488 \u7f29\u5c0f\u533a\u95f4 \u5faa\u73af\u7ec8\u6b62\u6761\u4ef6 \u53cc\u95ed\u533a\u95f4 \\([0, n-1]\\) \\(i = 0\\) , \\(j = n-1\\) \\(i = m + 1\\) , \\(j = m - 1\\) \\(i &gt; j\\) \u5de6\u95ed\u53f3\u5f00 \\([0, n)\\) \\(i = 0\\) , \\(j = n\\) \\(i = m + 1\\) , \\(j = m\\) \\(i = j\\) <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5728\u201c\u53cc\u95ed\u533a\u95f4\u201d\u8868\u793a\u4e2d\uff0c\u7531\u4e8e\u5bf9\u5de6\u53f3\u4e24\u8fb9\u754c\u7684\u5b9a\u4e49\u662f\u76f8\u540c\u7684\uff0c\u56e0\u6b64\u7f29\u5c0f\u533a\u95f4\u7684 \\(i\\) , \\(j\\) \u5904\u7406\u65b9\u6cd5\u4e5f\u662f\u5bf9\u79f0\u7684\uff0c\u8fd9\u6837\u66f4\u4e0d\u5bb9\u6613\u51fa\u9519\u3002\u7efc\u4e0a\u6240\u8ff0\uff0c\u5efa\u8bae\u4f60\u91c7\u7528\u201c\u53cc\u95ed\u533a\u95f4\u201d\u7684\u5199\u6cd5\u3002</p>"},{"location":"chapter_searching/binary_search/#_4","title":"\u5927\u6570\u8d8a\u754c\u5904\u7406","text":"<p>\u5f53\u6570\u7ec4\u957f\u5ea6\u5f88\u5927\u65f6\uff0c\u52a0\u6cd5 \\(i + j\\) \u7684\u7ed3\u679c\u6709\u53ef\u80fd\u4f1a\u8d85\u51fa <code>int</code> \u7c7b\u578b\u7684\u53d6\u503c\u8303\u56f4\u3002\u5728\u6b64\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u9700\u8981\u6362\u4e00\u79cd\u8ba1\u7b97\u4e2d\u70b9\u7684\u5199\u6cd5\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code># Python \u4e2d\u7684\u6570\u5b57\u7406\u8bba\u4e0a\u53ef\u4ee5\u65e0\u9650\u5927\uff08\u53d6\u51b3\u4e8e\u5185\u5b58\u5927\u5c0f\uff09\n# \u56e0\u6b64\u65e0\u9700\u8003\u8651\u5927\u6570\u8d8a\u754c\u95ee\u9898\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nm := (i + j) / 2\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nm := i + (j - i) / 2\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nlet m = parseInt((i + j) / 2);\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = parseInt(i + (j - i) / 2);\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa Number \u7684\u53d6\u503c\u8303\u56f4\nlet m = Math.floor((i + j) / 2);\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = Math.floor(i + (j - i) / 2);\n</code></pre> <pre><code>\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nint m = (i + j) / 2;\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nint m = i + (j - i) / 2;\n</code></pre> <pre><code>// (i + j) \u6709\u53ef\u80fd\u8d85\u51fa int \u7684\u53d6\u503c\u8303\u56f4\nlet m = (i + j) / 2\n// \u66f4\u6362\u4e3a\u6b64\u5199\u6cd5\u5219\u4e0d\u4f1a\u8d8a\u754c\nlet m = i + (j - 1) / 2\n</code></pre> <pre><code>\n</code></pre>"},{"location":"chapter_searching/binary_search/#1022","title":"10.2.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(\\log n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\uff1b\u6bcf\u8f6e\u6392\u9664\u4e00\u534a\u7684\u533a\u95f4\uff0c\u56e0\u6b64\u5faa\u73af\u8f6e\u6570\u4e3a \\(\\log_2 n\\) \uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 <code>i</code> , <code>j</code> \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7a7a\u95f4\u3002</p>"},{"location":"chapter_searching/binary_search/#1023","title":"10.2.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u4e8c\u5206\u67e5\u627e\u6548\u7387\u5f88\u9ad8\uff0c\u4f53\u73b0\u5728\uff1a</p> <ul> <li>\u4e8c\u5206\u67e5\u627e\u65f6\u95f4\u590d\u6742\u5ea6\u4f4e\u3002\u5bf9\u6570\u9636\u5728\u6570\u636e\u91cf\u5f88\u5927\u65f6\u5177\u6709\u5de8\u5927\u4f18\u52bf\uff0c\u4f8b\u5982\uff0c\u5f53\u6570\u636e\u5927\u5c0f \\(n = 2^{20}\\) \u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u9700\u8981 \\(2^{20} = 1048576\\) \u8f6e\u5faa\u73af\uff0c\u800c\u4e8c\u5206\u67e5\u627e\u4ec5\u9700\u8981 \\(\\log_2 2^{20} = 20\\) \u8f6e\u5faa\u73af\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u4e0d\u9700\u8981\u989d\u5916\u7a7a\u95f4\u3002\u76f8\u5bf9\u4e8e\u501f\u52a9\u989d\u5916\u6570\u636e\u7ed3\u6784\u6765\u5b9e\u73b0\u67e5\u627e\u7684\u7b97\u6cd5\u6765\u8bf4\uff0c\u5176\u66f4\u52a0\u8282\u7ea6\u7a7a\u95f4\u4f7f\u7528\u3002</li> </ul> <p>\u4f46\u5e76\u4e0d\u610f\u5473\u7740\u6240\u6709\u60c5\u51b5\u4e0b\u90fd\u5e94\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6709\u5e8f\u6570\u636e\u3002\u5982\u679c\u8f93\u5165\u6570\u636e\u662f\u65e0\u5e8f\u7684\uff0c\u4e3a\u4e86\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\u800c\u4e13\u95e8\u6267\u884c\u6570\u636e\u6392\u5e8f\uff0c\u90a3\u4e48\u662f\u5f97\u4e0d\u507f\u5931\u7684\uff0c\u56e0\u4e3a\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e00\u822c\u4e3a \\(O(n \\log n)\\) \uff0c\u6bd4\u7ebf\u6027\u67e5\u627e\u548c\u4e8c\u5206\u67e5\u627e\u90fd\u66f4\u5dee\u3002\u518d\u4f8b\u5982\uff0c\u5bf9\u4e8e\u9891\u7e41\u63d2\u5165\u5143\u7d20\u7684\u573a\u666f\uff0c\u4e3a\u4e86\u4fdd\u6301\u6570\u7ec4\u7684\u6709\u5e8f\u6027\uff0c\u9700\u8981\u5c06\u5143\u7d20\u63d2\u5165\u5230\u7279\u5b9a\u4f4d\u7f6e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u4e5f\u662f\u975e\u5e38\u6602\u8d35\u7684\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\u3002\u7531\u4e8e\u5728\u4e8c\u5206\u67e5\u627e\u4e2d\uff0c\u8bbf\u95ee\u7d22\u5f15\u662f \u201c\u975e\u8fde\u7eed\u201d \u7684\uff0c\u56e0\u6b64\u94fe\u8868\u6216\u8005\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u90fd\u65e0\u6cd5\u4f7f\u7528\u3002</li> <li>\u5728\u5c0f\u6570\u636e\u91cf\u4e0b\uff0c\u7ebf\u6027\u67e5\u627e\u7684\u6027\u80fd\u66f4\u597d\u3002\u5728\u7ebf\u6027\u67e5\u627e\u4e2d\uff0c\u6bcf\u8f6e\u53ea\u9700\u8981 1 \u6b21\u5224\u65ad\u64cd\u4f5c\uff1b\u800c\u5728\u4e8c\u5206\u67e5\u627e\u4e2d\uff0c\u9700\u8981 1 \u6b21\u52a0\u6cd5\u30011 \u6b21\u9664\u6cd5\u30011 ~ 3 \u6b21\u5224\u65ad\u64cd\u4f5c\u30011 \u6b21\u52a0\u6cd5\uff08\u51cf\u6cd5\uff09\uff0c\u5171 4 ~ 6 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u56e0\u6b64\uff0c\u5728\u6570\u636e\u91cf \\(n\\) \u8f83\u5c0f\u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u53cd\u800c\u6bd4\u4e8c\u5206\u67e5\u627e\u66f4\u5feb\u3002</li> </ul>"},{"location":"chapter_searching/hashing_search/","title":"10.3. \u54c8\u5e0c\u67e5\u627e","text":"<p>Question</p> <p>\u5728\u6570\u636e\u91cf\u5f88\u5927\u65f6\uff0c\u300c\u7ebf\u6027\u67e5\u627e\u300d\u592a\u6162\uff1b\u800c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u8981\u6c42\u6570\u636e\u5fc5\u987b\u662f\u6709\u5e8f\u7684\uff0c\u5e76\u4e14\u53ea\u80fd\u5728\u6570\u7ec4\u4e2d\u5e94\u7528\u3002\u90a3\u4e48\u662f\u5426\u6709\u65b9\u6cd5\u53ef\u4ee5\u540c\u65f6\u907f\u514d\u4e0a\u8ff0\u7f3a\u70b9\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u6b64\u65b9\u6cd5\u88ab\u79f0\u4e3a\u300c\u54c8\u5e0c\u67e5\u627e\u300d\u3002</p> <p>\u300c\u54c8\u5e0c\u67e5\u627e Hash Searching\u300d\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868\u6765\u5b58\u50a8\u9700\u8981\u7684\u300c\u952e\u503c\u5bf9 Key Value Pair\u300d\uff0c\u6211\u4eec\u53ef\u4ee5\u5728 \\(O(1)\\) \u65f6\u95f4\u4e0b\u5b9e\u73b0\u201c\u952e \\(\\rightarrow\\) \u503c\u201d\u6620\u5c04\u67e5\u627e\uff0c\u4f53\u73b0\u7740\u201c\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u201d\u7684\u7b97\u6cd5\u601d\u60f3\u3002</p>"},{"location":"chapter_searching/hashing_search/#1031","title":"10.3.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u5982\u679c\u6211\u4eec\u60f3\u8981\u7ed9\u5b9a\u6570\u7ec4\u4e2d\u7684\u4e00\u4e2a\u76ee\u6807\u5143\u7d20 <code>target</code> \uff0c\u83b7\u53d6\u8be5\u5143\u7d20\u7684\u7d22\u5f15\uff0c\u90a3\u4e48\u53ef\u4ee5\u501f\u52a9\u4e00\u4e2a\u54c8\u5e0c\u8868\u5b9e\u73b0\u67e5\u627e\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hashing_search.java<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(Map&lt;Integer, Integer&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.getOrDefault(target, -1);\n}\n</code></pre> hashing_search.cpp<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(unordered_map&lt;int, int&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nif (map.find(target) == map.end())\nreturn -1;\nreturn map[target];\n}\n</code></pre> hashing_search.py<pre><code>\"\"\" \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 \"\"\"\ndef hashing_search_array(mapp, target):\n# \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n# \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn mapp.get(target, -1)\n</code></pre> hashing_search.go<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc hashingSearchArray(m map[int]int, target int) int {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nif index, ok := m[target]; ok {\nreturn index\n} else {\nreturn -1\n}\n}\n</code></pre> hashing_search.js<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction hashingSearchArray(map, target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.has(target) ? map.get(target) : -1;\n}\n</code></pre> hashing_search.ts<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction hashingSearchArray(map: Map&lt;number, number&gt;, target: number): number {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.has(target) ? map.get(target) as number : -1;\n}\n</code></pre> hashing_search.c<pre><code>[class]{}-[func]{hashingSearchArray}\n</code></pre> hashing_search.cs<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint hashingSearchArray(Dictionary&lt;int, int&gt; map, int target)\n{\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map.GetValueOrDefault(target, -1);\n}\n</code></pre> hashing_search.swift<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc hashingSearchArray(map: [Int: Int], target: Int) -&gt; Int {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn map[target, default: -1]\n}\n</code></pre> hashing_search.zig<pre><code>// \u54c8\u5e0c\u67e5\u627e\uff08\u6570\u7ec4\uff09\nfn hashingSearchArray(comptime T: type, map: std.AutoHashMap(T, T), target: T) T {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7d22\u5f15\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1   \nif (map.getKey(target) == null) return -1;\nreturn map.get(target).?;\n}\n</code></pre> <p>\u518d\u6bd4\u5982\uff0c\u5982\u679c\u6211\u4eec\u60f3\u8981\u7ed9\u5b9a\u4e00\u4e2a\u76ee\u6807\u7ed3\u70b9\u503c <code>target</code> \uff0c\u83b7\u53d6\u5bf9\u5e94\u7684\u94fe\u8868\u7ed3\u70b9\u5bf9\u8c61\uff0c\u90a3\u4e48\u4e5f\u53ef\u4ee5\u4f7f\u7528\u54c8\u5e0c\u67e5\u627e\u5b9e\u73b0\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig hashing_search.java<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode hashingSearchLinkedList(Map&lt;Integer, ListNode&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.getOrDefault(target, null);\n}\n</code></pre> hashing_search.cpp<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode* hashingSearchLinkedList(unordered_map&lt;int, ListNode*&gt; map, int target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de nullptr\nif (map.find(target) == map.end())\nreturn nullptr;\nreturn map[target];\n}\n</code></pre> hashing_search.py<pre><code>\"\"\"  \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 \"\"\"\ndef hashing_search_linkedlist(mapp, target):\n# \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u5143\u7d20\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n# \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de -1\nreturn mapp.get(target, -1)\n</code></pre> hashing_search.go<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc hashingSearchLinkedList(m map[int]*ListNode, target int) *ListNode {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de nil\nif node, ok := m[target]; ok {\nreturn node\n} else {\nreturn nil\n}\n}\n</code></pre> hashing_search.js<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunction hashingSearchLinkedList(map, target) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.has(target) ? map.get(target) : null;\n}\n</code></pre> hashing_search.ts<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunction hashingSearchLinkedList(map: Map&lt;number, ListNode&gt;, target: number): ListNode | null {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.has(target) ? map.get(target) as ListNode : null;\n}\n</code></pre> hashing_search.c<pre><code>[class]{}-[func]{hashingSearchLinkedList}\n</code></pre> hashing_search.cs<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode? hashingSearchLinkedList(Dictionary&lt;int, ListNode&gt; map, int target)\n{\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map.GetValueOrDefault(target);\n}\n</code></pre> hashing_search.swift<pre><code>/* \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc hashingSearchLinkedList(map: [Int: ListNode], target: Int) -&gt; ListNode? {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null\nreturn map[target]\n}\n</code></pre> hashing_search.zig<pre><code>// \u54c8\u5e0c\u67e5\u627e\uff08\u94fe\u8868\uff09\nfn hashingSearchLinkedList(comptime T: type, map: std.AutoHashMap(T, *inc.ListNode(T)), target: T) ?*inc.ListNode(T) {\n// \u54c8\u5e0c\u8868\u7684 key: \u76ee\u6807\u7ed3\u70b9\u503c\uff0cvalue: \u7ed3\u70b9\u5bf9\u8c61\n// \u82e5\u54c8\u5e0c\u8868\u4e2d\u65e0\u6b64 key \uff0c\u8fd4\u56de null \nif (map.getKey(target) == null) return null;\nreturn map.get(target);\n}\n</code></pre>"},{"location":"chapter_searching/hashing_search/#1032","title":"10.3.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u54c8\u5e0c\u8868\u7684\u67e5\u627e\u64cd\u4f5c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\u3002</p>"},{"location":"chapter_searching/hashing_search/#1033","title":"10.3.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u5728\u54c8\u5e0c\u8868\u4e2d\uff0c\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(1)\\) \uff0c\u8fd9\u610f\u5473\u7740\u65e0\u8bba\u662f\u9ad8\u9891\u589e\u5220\u8fd8\u662f\u9ad8\u9891\u67e5\u627e\u573a\u666f\uff0c\u54c8\u5e0c\u67e5\u627e\u7684\u6027\u80fd\u8868\u73b0\u90fd\u975e\u5e38\u597d\u3002\u5f53\u7136\uff0c\u4e00\u5207\u7684\u524d\u63d0\u662f\u4fdd\u8bc1\u54c8\u5e0c\u8868\u672a\u9000\u5316\u3002</p> <p>\u5373\u4f7f\u5982\u6b64\uff0c\u54c8\u5e0c\u67e5\u627e\u4ecd\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u9700\u8981\u6839\u636e\u60c5\u51b5\u7075\u6d3b\u9009\u62e9\u65b9\u6cd5\u3002</p> <ul> <li>\u8f85\u52a9\u54c8\u5e0c\u8868 \u9700\u8981\u4f7f\u7528 \\(O(n)\\) \u7684\u989d\u5916\u7a7a\u95f4\uff0c\u610f\u5473\u7740\u9700\u8981\u9884\u7559\u66f4\u591a\u7684\u8ba1\u7b97\u673a\u5185\u5b58\uff1b</li> <li>\u5efa\u7acb\u548c\u7ef4\u62a4\u54c8\u5e0c\u8868\u9700\u8981\u65f6\u95f4\uff0c\u56e0\u6b64\u54c8\u5e0c\u67e5\u627e \u4e0d\u9002\u5408\u9ad8\u9891\u589e\u5220\u3001\u4f4e\u9891\u67e5\u627e\u7684\u4f7f\u7528\u573a\u666f\uff1b</li> <li>\u5f53\u54c8\u5e0c\u51b2\u7a81\u4e25\u91cd\u65f6\uff0c\u54c8\u5e0c\u8868\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \uff1b</li> <li>\u5f53\u6570\u636e\u91cf\u5f88\u5c0f\u65f6\uff0c\u7ebf\u6027\u67e5\u627e\u6bd4\u54c8\u5e0c\u67e5\u627e\u66f4\u5feb\u3002\u8fd9\u662f\u56e0\u4e3a\u8ba1\u7b97\u54c8\u5e0c\u6620\u5c04\u51fd\u6570\u53ef\u80fd\u6bd4\u904d\u5386\u4e00\u4e2a\u5c0f\u578b\u6570\u7ec4\u66f4\u6162\uff1b</li> </ul>"},{"location":"chapter_searching/linear_search/","title":"10.1. \u7ebf\u6027\u67e5\u627e","text":"<p>\u300c\u7ebf\u6027\u67e5\u627e Linear Search\u300d\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u67e5\u627e\u65b9\u6cd5\uff0c\u5176\u4ece\u6570\u636e\u7ed3\u6784\u7684\u4e00\u7aef\u5f00\u59cb\uff0c\u4f9d\u6b21\u8bbf\u95ee\u6bcf\u4e2a\u5143\u7d20\uff0c\u76f4\u5230\u53e6\u4e00\u7aef\u540e\u505c\u6b62\u3002</p>"},{"location":"chapter_searching/linear_search/#1011","title":"10.1.1. \u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u7ebf\u6027\u67e5\u627e\u5b9e\u8d28\u4e0a\u5c31\u662f\u904d\u5386\u6570\u636e\u7ed3\u6784 + \u5224\u65ad\u6761\u4ef6\u3002\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u5728\u6570\u7ec4 <code>nums</code> \u4e2d\u67e5\u627e\u76ee\u6807\u5143\u7d20 <code>target</code> \u7684\u5bf9\u5e94\u7d22\u5f15\uff0c\u90a3\u4e48\u53ef\u4ee5\u5728\u6570\u7ec4\u4e2d\u8fdb\u884c\u7ebf\u6027\u67e5\u627e\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linear_search.java<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(int[] nums, int target) {\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.cpp<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(vector&lt;int&gt;&amp; nums, int target) {\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.size(); i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.py<pre><code>\"\"\" \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 \"\"\"\ndef linear_search_array(nums, target):\n# \u904d\u5386\u6570\u7ec4\nfor i in range(len(nums)):\nif nums[i] == target:  # \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nreturn i\nreturn -1                  # \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\n</code></pre> linear_search.go<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc linearSearchArray(nums []int, target int) int {\n// \u904d\u5386\u6570\u7ec4\nfor i := 0; i &lt; len(nums); i++ {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif nums[i] == target {\nreturn i\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> linear_search.js<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunction linearSearchArray(nums, target) {\n// \u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] === target) {\nreturn i;\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1; }\n</code></pre> linear_search.ts<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09*/\nfunction linearSearchArray(nums: number[], target: number): number {\n// \u904d\u5386\u6570\u7ec4\nfor (let i = 0; i &lt; nums.length; i++) {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] === target) {\nreturn i;\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.c<pre><code>[class]{}-[func]{linearSearchArray}\n</code></pre> linear_search.cs<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nint linearSearchArray(int[] nums, int target)\n{\n// \u904d\u5386\u6570\u7ec4\nfor (int i = 0; i &lt; nums.Length; i++)\n{\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif (nums[i] == target)\nreturn i;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> linear_search.swift<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09 */\nfunc linearSearchArray(nums: [Int], target: Int) -&gt; Int {\n// \u904d\u5386\u6570\u7ec4\nfor i in nums.indices {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de\u5176\u7d22\u5f15\nif nums[i] == target {\nreturn i\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1\n}\n</code></pre> linear_search.zig<pre><code>// \u7ebf\u6027\u67e5\u627e\uff08\u6570\u7ec4\uff09\nfn linearSearchArray(comptime T: type, nums: std.ArrayList(T), target: T) T {\n// \u904d\u5386\u6570\u7ec4\nfor (nums.items) |num, i| {\n// \u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c \u8fd4\u56de\u5176\u7d22\u5f15\nif (num == target) {\nreturn @intCast(T, i);\n}\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de -1\nreturn -1;\n}\n</code></pre> <p>\u518d\u6bd4\u5982\uff0c\u6211\u4eec\u60f3\u8981\u5728\u7ed9\u5b9a\u4e00\u4e2a\u76ee\u6807\u7ed3\u70b9\u503c <code>target</code> \uff0c\u8fd4\u56de\u6b64\u7ed3\u70b9\u5bf9\u8c61\uff0c\u4e5f\u53ef\u4ee5\u5728\u94fe\u8868\u4e2d\u8fdb\u884c\u7ebf\u6027\u67e5\u627e\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linear_search.java<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode linearSearchLinkedList(ListNode head, int target) {\n// \u904d\u5386\u94fe\u8868\nwhile (head != null) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val == target)\nreturn head;\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.cpp<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode* linearSearchLinkedList(ListNode* head, int target) {\n// \u904d\u5386\u94fe\u8868\nwhile (head != nullptr) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head-&gt;val == target)\nreturn head;\nhead = head-&gt;next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de nullptr\nreturn nullptr;\n}\n</code></pre> linear_search.py<pre><code>\"\"\" \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 \"\"\"\ndef linear_search_linkedlist(head, target):\n# \u904d\u5386\u94fe\u8868\nwhile head:\nif head.val == target: # \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nreturn head\nhead = head.next\nreturn None                # \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de None\n</code></pre> linear_search.go<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc linearSearchLinkedList(node *ListNode, target int) *ListNode {\n// \u904d\u5386\u94fe\u8868\nfor node != nil {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif node.Val == target {\nreturn node\n}\nnode = node.Next\n}\n// \u672a\u627e\u5230\u76ee\u6807\u5143\u7d20\uff0c\u8fd4\u56de nil\nreturn nil\n}\n</code></pre> linear_search.js<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09*/\nfunction linearSearchLinkedList(head, target) {\n// \u904d\u5386\u94fe\u8868\nwhile(head) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif(head.val === target) {\nreturn head;\n}\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.ts<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09*/\nfunction linearSearchLinkedList(head: ListNode | null, target: number): ListNode | null {\n// \u904d\u5386\u94fe\u8868\nwhile (head) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val === target) {\nreturn head;\n}\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.c<pre><code>[class]{}-[func]{linearSearchLinkedList}\n</code></pre> linear_search.cs<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nListNode? linearSearchLinkedList(ListNode head, int target)\n{\n// \u904d\u5386\u94fe\u8868\nwhile (head != null)\n{\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.val == target)\nreturn head;\nhead = head.next;\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn null;\n}\n</code></pre> linear_search.swift<pre><code>/* \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09 */\nfunc linearSearchLinkedList(head: ListNode?, target: Int) -&gt; ListNode? {\nvar head = head\n// \u904d\u5386\u94fe\u8868\nwhile head != nil {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif head?.val == target {\nreturn head\n}\nhead = head?.next\n}\n// \u672a\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de null\nreturn nil\n}\n</code></pre> linear_search.zig<pre><code>// \u7ebf\u6027\u67e5\u627e\uff08\u94fe\u8868\uff09\nfn linearSearchLinkedList(comptime T: type, node: ?*inc.ListNode(T), target: T) ?*inc.ListNode(T) {\nvar head = node;\n// \u904d\u5386\u94fe\u8868\nwhile (head != null) {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8fd4\u56de\u4e4b\nif (head.?.val == target) return head;\nhead = head.?.next;\n}\nreturn null;\n}\n</code></pre>"},{"location":"chapter_searching/linear_search/#1012","title":"10.1.2. \u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u5176\u4e2d \\(n\\) \u4e3a\u6570\u7ec4\u6216\u94fe\u8868\u957f\u5ea6\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u65e0\u9700\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\u3002</p>"},{"location":"chapter_searching/linear_search/#1013","title":"10.1.3. \u4f18\u70b9\u4e0e\u7f3a\u70b9","text":"<p>\u7ebf\u6027\u67e5\u627e\u7684\u901a\u7528\u6027\u6781\u4f73\u3002\u7531\u4e8e\u7ebf\u6027\u67e5\u627e\u662f\u4f9d\u6b21\u8bbf\u95ee\u5143\u7d20\u7684\uff0c\u5373\u6ca1\u6709\u8df3\u8dc3\u8bbf\u95ee\u5143\u7d20\uff0c\u56e0\u6b64\u6570\u7ec4\u6216\u94fe\u8868\u7686\u9002\u7528\u3002</p> <p>\u7ebf\u6027\u67e5\u627e\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u592a\u9ad8\u3002\u5728\u6570\u636e\u91cf \\(n\\) \u5f88\u5927\u65f6\uff0c\u67e5\u627e\u6548\u7387\u5f88\u4f4e\u3002</p>"},{"location":"chapter_searching/summary/","title":"10.4. \u5c0f\u7ed3","text":"<ul> <li>\u7ebf\u6027\u67e5\u627e\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u67e5\u627e\u65b9\u6cd5\uff0c\u901a\u8fc7\u904d\u5386\u6570\u636e\u7ed3\u6784 + \u5224\u65ad\u6761\u4ef6\u5b9e\u73b0\u67e5\u627e\u3002</li> <li>\u4e8c\u5206\u67e5\u627e\u5229\u7528\u6570\u636e\u7684\u6709\u5e8f\u6027\uff0c\u901a\u8fc7\u5faa\u73af\u4e0d\u65ad\u7f29\u5c0f\u4e00\u534a\u641c\u7d22\u533a\u95f4\u6765\u5b9e\u73b0\u67e5\u627e\uff0c\u5176\u8981\u6c42\u8f93\u5165\u6570\u636e\u662f\u6709\u5e8f\u7684\uff0c\u5e76\u4e14\u4ec5\u9002\u7528\u4e8e\u6570\u7ec4\u6216\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6570\u636e\u7ed3\u6784\u3002</li> <li>\u54c8\u5e0c\u67e5\u627e\u501f\u52a9\u54c8\u5e0c\u8868\u6765\u5b9e\u73b0\u5e38\u6570\u9636\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u67e5\u627e\u64cd\u4f5c\uff0c\u4f53\u73b0\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u7684\u7b97\u6cd5\u601d\u60f3\u3002</li> </ul> <p> Table. \u4e09\u79cd\u67e5\u627e\u65b9\u6cd5\u5bf9\u6bd4 </p> \u7ebf\u6027\u67e5\u627e \u4e8c\u5206\u67e5\u627e \u54c8\u5e0c\u67e5\u627e \u9002\u7528\u6570\u636e\u7ed3\u6784 \u6570\u7ec4\u3001\u94fe\u8868 \u6570\u7ec4 \u6570\u7ec4\u3001\u94fe\u8868 \u8f93\u5165\u6570\u636e\u8981\u6c42 \u65e0 \u6709\u5e8f \u65e0 \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u67e5\u627e / \u63d2\u5165 / \u5220\u9664 \\(O(n)\\) / \\(O(1)\\) / \\(O(n)\\) \\(O(\\log n)\\) / \\(O(n)\\) / \\(O(n)\\) \\(O(1)\\) / \\(O(1)\\) / \\(O(1)\\) \u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u67e5\u627e / \u63d2\u5165 / \u5220\u9664 \\(O(n)\\) / \\(O(1)\\) / \\(O(n)\\) \\(O(\\log n)\\) / \\(O(n)\\) / \\(O(n)\\) \\(O(n)\\) / \\(O(n)\\) / \\(O(n)\\) \u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \\(O(1)\\) \\(O(n)\\)"},{"location":"chapter_sorting/bubble_sort/","title":"11.2. \u5192\u6ce1\u6392\u5e8f","text":"<p>\u300c\u5192\u6ce1\u6392\u5e8f Bubble Sort\u300d\u662f\u4e00\u79cd\u6700\u57fa\u7840\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u975e\u5e38\u9002\u5408\u4f5c\u4e3a\u7b2c\u4e00\u4e2a\u5b66\u4e60\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u987e\u540d\u601d\u4e49\uff0c\u300c\u5192\u6ce1\u300d\u662f\u8be5\u7b97\u6cd5\u7684\u6838\u5fc3\u64cd\u4f5c\u3002</p> <p>\u4e3a\u4ec0\u4e48\u53eb\u201c\u5192\u6ce1\u201d</p> <p>\u5728\u6c34\u4e2d\uff0c\u8d8a\u5927\u7684\u6ce1\u6ce1\u6d6e\u529b\u8d8a\u5927\uff0c\u6240\u4ee5\u6700\u5927\u7684\u6ce1\u6ce1\u4f1a\u6700\u5148\u6d6e\u5230\u6c34\u9762\u3002</p> <p>\u300c\u5192\u6ce1\u300d\u64cd\u4f5c\u5219\u662f\u5728\u6a21\u62df\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u5177\u4f53\u505a\u6cd5\u4e3a\uff1a\u4ece\u6570\u7ec4\u6700\u5de6\u7aef\u5f00\u59cb\u5411\u53f3\u904d\u5386\uff0c\u4f9d\u6b21\u5bf9\u6bd4\u76f8\u90bb\u5143\u7d20\u5927\u5c0f\uff0c\u82e5 \u5de6\u5143\u7d20 &gt; \u53f3\u5143\u7d20 \u5219\u5c06\u5b83\u4fe9\u4ea4\u6362\uff0c\u6700\u7ec8\u53ef\u5c06\u6700\u5927\u5143\u7d20\u79fb\u52a8\u81f3\u6570\u7ec4\u6700\u53f3\u7aef\u3002</p> <p>\u5b8c\u6210\u6b64\u6b21\u5192\u6ce1\u64cd\u4f5c\u540e\uff0c\u6570\u7ec4\u6700\u5927\u5143\u7d20\u5df2\u5728\u6b63\u786e\u4f4d\u7f6e\uff0c\u63a5\u4e0b\u6765\u53ea\u9700\u6392\u5e8f\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p> Fig. \u5192\u6ce1\u64cd\u4f5c </p>"},{"location":"chapter_sorting/bubble_sort/#1121","title":"11.2.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u8bbe\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n\\) \uff0c\u5b8c\u6210\u7b2c\u4e00\u8f6e\u300c\u5192\u6ce1\u300d\u540e\uff0c\u6570\u7ec4\u6700\u5927\u5143\u7d20\u5df2\u5728\u6b63\u786e\u4f4d\u7f6e\uff0c\u63a5\u4e0b\u6765\u53ea\u9700\u6392\u5e8f\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u3002</li> <li>\u540c\u7406\uff0c\u5bf9\u5269\u4f59 \\(n - 1\\) \u4e2a\u5143\u7d20\u6267\u884c\u300c\u5192\u6ce1\u300d\uff0c\u53ef\u5c06\u7b2c\u4e8c\u5927\u5143\u7d20\u4ea4\u6362\u81f3\u6b63\u786e\u4f4d\u7f6e\uff0c\u56e0\u800c\u5f85\u6392\u5e8f\u5143\u7d20\u53ea\u5269 \\(n - 2\\) \u4e2a\u3002</li> <li>\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026 \u5faa\u73af \\(n - 1\\) \u8f6e\u300c\u5192\u6ce1\u300d\uff0c\u5373\u53ef\u5b8c\u6210\u6574\u4e2a\u6570\u7ec4\u7684\u6392\u5e8f\u3002</li> </ol> <p> Fig. \u5192\u6ce1\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig bubble_sort.java<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(int[] nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.cpp<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\n// \u8fd9\u91cc\u4f7f\u7528\u4e86 std::swap() \u51fd\u6570\nswap(nums[j], nums[j + 1]);\n}\n}\n}\n}\n</code></pre> bubble_sort.py<pre><code>\"\"\" \u5192\u6ce1\u6392\u5e8f \"\"\"\ndef bubble_sort(nums):\nn = len(nums)\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(n - 1, 0, -1):\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j + 1] = nums[j + 1], nums[j]\n</code></pre> bubble_sort.go<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunc bubbleSort(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j+1] = nums[j+1], nums[j]\n}\n}\n}\n}\n</code></pre> bubble_sort.js<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunction bubbleSort(nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.ts<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunction bubbleSort(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.c<pre><code>[class]{}-[func]{bubbleSort}\n</code></pre> bubble_sort.cs<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nvoid bubbleSort(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre> bubble_sort.swift<pre><code>/* \u5192\u6ce1\u6392\u5e8f */\nfunc bubbleSort(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in stride(from: nums.count - 1, to: 0, by: -1) {\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in stride(from: 0, to: i, by: 1) {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\n}\n}\n}\n}\n</code></pre> bubble_sort.zig<pre><code>// \u5192\u6ce1\u6392\u5e8f\nfn bubbleSort(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: usize = nums.len - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\n}\n}\n}\n}\n</code></pre>"},{"location":"chapter_sorting/bubble_sort/#1122","title":"11.2.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u5404\u8f6e\u300c\u5192\u6ce1\u300d\u904d\u5386\u7684\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n - 1\\) , \\(n - 2\\) , \\(\\cdots\\) , \\(2\\) , \\(1\\) \u6b21\uff0c\u6c42\u548c\u4e3a \\(\\frac{(n - 1) n}{2}\\) \uff0c\u56e0\u6b64\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 \\(i\\) , \\(j\\) \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u6307\u9488\u53d8\u91cf\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u7a33\u5b9a\u6392\u5e8f\uff1a\u4e0d\u4ea4\u6362\u76f8\u7b49\u5143\u7d20\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u5f15\u5165 <code>flag</code> \u4f18\u5316\u540e\uff08\u89c1\u4e0b\u6587\uff09\uff0c\u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(N)\\) \u3002</p>"},{"location":"chapter_sorting/bubble_sort/#1123","title":"11.2.3. \u6548\u7387\u4f18\u5316","text":"<p>\u6211\u4eec\u53d1\u73b0\uff0c\u82e5\u5728\u67d0\u8f6e\u300c\u5192\u6ce1\u300d\u4e2d\u672a\u6267\u884c\u4efb\u4f55\u4ea4\u6362\u64cd\u4f5c\uff0c\u5219\u8bf4\u660e\u6570\u7ec4\u5df2\u7ecf\u5b8c\u6210\u6392\u5e8f\uff0c\u53ef\u76f4\u63a5\u8fd4\u56de\u7ed3\u679c\u3002\u8003\u8651\u53ef\u4ee5\u589e\u52a0\u4e00\u4e2a\u6807\u5fd7\u4f4d <code>flag</code> \u6765\u76d1\u542c\u8be5\u60c5\u51b5\uff0c\u82e5\u51fa\u73b0\u5219\u76f4\u63a5\u8fd4\u56de\u3002</p> <p>\u4f18\u5316\u540e\uff0c\u5192\u6ce1\u6392\u5e8f\u7684\u6700\u5dee\u548c\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4ecd\u4e3a \\(O(n^2)\\) \uff1b\u800c\u5728\u8f93\u5165\u6570\u7ec4 \u5df2\u6392\u5e8f \u65f6\uff0c\u8fbe\u5230 \u6700\u4f73\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \u3002 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig bubble_sort.java<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(int[] nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.length - 1; i &gt; 0; i--) {\nboolean flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.cpp<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.size() - 1; i &gt; 0; i--) {\nbool flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\n// \u8fd9\u91cc\u4f7f\u7528\u4e86 std::swap() \u51fd\u6570\nswap(nums[j], nums[j + 1]);\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.py<pre><code>\"\"\" \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09 \"\"\"\ndef bubble_sort_with_flag(nums):\nn = len(nums)\n# \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in range(n - 1, 0, -1):\nflag = False  # \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n# \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j in range(i):\nif nums[j] &gt; nums[j + 1]:\n# \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j + 1] = nums[j + 1], nums[j]\nflag = True  # \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\nif not flag:\nbreak            # \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n</code></pre> bubble_sort.go<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunc bubbleSortWithFlag(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := len(nums) - 1; i &gt; 0; i-- {\nflag := false // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor j := 0; j &lt; i; j++ {\nif nums[j] &gt; nums[j+1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nnums[j], nums[j+1] = nums[j+1], nums[j]\nflag = true // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif flag == false { // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\nbreak\n}\n}\n}\n</code></pre> bubble_sort.js<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunction bubbleSortWithFlag(nums) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\nlet flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.ts<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunction bubbleSortWithFlag(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (let i = nums.length - 1; i &gt; 0; i--) {\nlet flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (let j = 0; j &lt; i; j++) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true; // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break; // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.c<pre><code>[class]{}-[func]{bubbleSortWithFlag}\n</code></pre> bubble_sort.cs<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nvoid bubbleSortWithFlag(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor (int i = nums.Length - 1; i &gt; 0; i--)\n{\nbool flag = false; // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nfor (int j = 0; j &lt; i; j++)\n{\nif (nums[j] &gt; nums[j + 1])\n{\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nint tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;  // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif (!flag) break;     // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre> bubble_sort.swift<pre><code>/* \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09*/\nfunc bubbleSortWithFlag(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i in stride(from: nums.count - 1, to: 0, by: -1) {\nvar flag = false // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\nfor j in stride(from: 0, to: i, by: 1) {\nif nums[j] &gt; nums[j + 1] {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nlet tmp = nums[j]\nnums[j] = nums[j + 1]\nnums[j + 1] = tmp\nflag = true // \u8bb0\u5f55\u4ea4\u6362\u5143\u7d20\n}\n}\nif !flag { // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\nbreak\n}\n}\n}\n</code></pre> bubble_sort.zig<pre><code>// \u5192\u6ce1\u6392\u5e8f\uff08\u6807\u5fd7\u4f18\u5316\uff09\nfn bubbleSortWithFlag(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nvar i: usize = nums.len - 1;\nwhile (i &gt; 0) : (i -= 1) {\nvar flag = false;   // \u521d\u59cb\u5316\u6807\u5fd7\u4f4d\nvar j: usize = 0;\n// \u5185\u5faa\u73af\uff1a\u5192\u6ce1\u64cd\u4f5c\nwhile (j &lt; i) : (j += 1) {\nif (nums[j] &gt; nums[j + 1]) {\n// \u4ea4\u6362 nums[j] \u4e0e nums[j + 1]\nvar tmp = nums[j];\nnums[j] = nums[j + 1];\nnums[j + 1] = tmp;\nflag = true;\n}\n}\nif (!flag) break;   // \u6b64\u8f6e\u5192\u6ce1\u672a\u4ea4\u6362\u4efb\u4f55\u5143\u7d20\uff0c\u76f4\u63a5\u8df3\u51fa\n}\n}\n</code></pre>"},{"location":"chapter_sorting/insertion_sort/","title":"11.3. \u63d2\u5165\u6392\u5e8f","text":"<p>\u300c\u63d2\u5165\u6392\u5e8f Insertion Sort\u300d\u662f\u4e00\u79cd\u57fa\u4e8e \u6570\u7ec4\u63d2\u5165\u64cd\u4f5c \u7684\u6392\u5e8f\u7b97\u6cd5\u3002</p> <p>\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u539f\u7406\uff1a\u9009\u5b9a\u67d0\u4e2a\u5f85\u6392\u5e8f\u5143\u7d20\u4e3a\u57fa\u51c6\u6570 <code>base</code>\uff0c\u5c06 <code>base</code> \u4e0e\u5176\u5de6\u4fa7\u5df2\u6392\u5e8f\u533a\u95f4\u5143\u7d20\u4f9d\u6b21\u5bf9\u6bd4\u5927\u5c0f\uff0c\u5e76\u63d2\u5165\u5230\u6b63\u786e\u4f4d\u7f6e\u3002</p> <p>\u56de\u5fc6\u6570\u7ec4\u63d2\u5165\u64cd\u4f5c\uff0c\u6211\u4eec\u9700\u8981\u5c06\u4ece\u76ee\u6807\u7d22\u5f15\u5230 <code>base</code> \u4e4b\u95f4\u7684\u6240\u6709\u5143\u7d20\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff0c\u7136\u540e\u518d\u5c06 <code>base</code> \u8d4b\u503c\u7ed9\u76ee\u6807\u7d22\u5f15\u3002</p> <p></p> <p> Fig. \u63d2\u5165\u64cd\u4f5c </p>"},{"location":"chapter_sorting/insertion_sort/#1131","title":"11.3.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u7b2c 1 \u8f6e\u5148\u9009\u53d6\u6570\u7ec4\u7684 \u7b2c 2 \u4e2a\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6570\u7ec4\u524d 2 \u4e2a\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> <li>\u7b2c 2 \u8f6e\u9009\u53d6 \u7b2c 3 \u4e2a\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6570\u7ec4\u524d 3 \u4e2a\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> <li>\u4ee5\u6b64\u7c7b\u63a8\u2026\u2026\u6700\u540e\u4e00\u8f6e\u9009\u53d6 \u6570\u7ec4\u5c3e\u5143\u7d20 \u4e3a <code>base</code> \uff0c\u6267\u884c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u540e\uff0c\u6240\u6709\u5143\u7d20\u5df2\u5b8c\u6210\u6392\u5e8f\u3002</li> </ol> <p> Fig. \u63d2\u5165\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig insertion_sort.java<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(int[] nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.length; i++) {\nint base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.cpp<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(vector&lt;int&gt;&amp; nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.size(); i++) {\nint base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.py<pre><code>\"\"\" \u63d2\u5165\u6392\u5e8f \"\"\"\ndef insertion_sort(nums):\n# \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor i in range(1, len(nums)):\nbase = nums[i]\nj = i - 1\n# \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile j &gt;= 0 and nums[j] &gt; base:\nnums[j + 1] = nums[j]  # 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj -= 1\nnums[j + 1] = base         # 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n</code></pre> insertion_sort.go<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunc insertionSort(nums []int) {\n// \u5916\u5faa\u73af\uff1a\u5f85\u6392\u5e8f\u5143\u7d20\u6570\u91cf\u4e3a n-1, n-2, ..., 1\nfor i := 1; i &lt; len(nums); i++ {\nbase := nums[i]\nj := i - 1\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nfor j &gt;= 0 &amp;&amp; nums[j] &gt; base {\nnums[j+1] = nums[j] // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--\n}\nnums[j+1] = base // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.js<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunction insertionSort(nums) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (let i = 1; i &lt; nums.length; i++) {\nlet base = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.ts<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunction insertionSort(nums: number[]): void {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (let i = 1; i &lt; nums.length; i++) {\nconst base = nums[i];\nlet j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; base) {\nnums[j + 1] = nums[j]; // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = base; // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.c<pre><code>[class]{}-[func]{insertionSort}\n</code></pre> insertion_sort.cs<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nvoid insertionSort(int[] nums)\n{\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor (int i = 1; i &lt; nums.Length; i++)\n{\nint bas = nums[i], j = i - 1;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 0 &amp;&amp; nums[j] &gt; bas)\n{\nnums[j + 1] = nums[j]; // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj--;\n}\nnums[j + 1] = bas;         // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.swift<pre><code>/* \u63d2\u5165\u6392\u5e8f */\nfunc insertionSort(nums: inout [Int]) {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nfor i in stride(from: 1, to: nums.count, by: 1) {\nlet base = nums[i]\nvar j = i - 1\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile j &gt;= 0, nums[j] &gt; base {\nnums[j + 1] = nums[j] // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\nj -= 1\n}\nnums[j + 1] = base // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre> insertion_sort.zig<pre><code>// \u63d2\u5165\u6392\u5e8f\nfn insertionSort(nums: []i32) void {\n// \u5916\u5faa\u73af\uff1abase = nums[1], nums[2], ..., nums[n-1]\nvar i: usize = 1;\nwhile (i &lt; nums.len) : (i += 1) {\nvar base = nums[i];\nvar j: usize = i;\n// \u5185\u5faa\u73af\uff1a\u5c06 base \u63d2\u5165\u5230\u5de6\u8fb9\u7684\u6b63\u786e\u4f4d\u7f6e\nwhile (j &gt;= 1 and nums[j - 1] &gt; base) : (j -= 1) {\nnums[j] = nums[j - 1];  // 1. \u5c06 nums[j] \u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\n}\nnums[j] = base;             // 2. \u5c06 base \u8d4b\u503c\u5230\u6b63\u786e\u4f4d\u7f6e\n}\n}\n</code></pre>"},{"location":"chapter_sorting/insertion_sort/#1132","title":"11.3.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u5404\u8f6e\u63d2\u5165\u64cd\u4f5c\u5faa\u73af \\(n - 1\\) , \\(n-2\\) , \\(\\cdots\\) , \\(2\\) , \\(1\\) \u6b21\uff0c\u6c42\u548c\u4e3a \\(\\frac{(n - 1) n}{2}\\) \uff0c\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(1)\\) \uff1a\u6307\u9488 \\(i\\) , \\(j\\) \u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u6307\u9488\u53d8\u91cf\u4ec5\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u989d\u5916\u7a7a\u95f4\u3002</p> <p>\u7a33\u5b9a\u6392\u5e8f\uff1a\u4e0d\u4ea4\u6362\u76f8\u7b49\u5143\u7d20\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u6700\u4f73\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\)  \u3002</p>"},{"location":"chapter_sorting/insertion_sort/#1133-vs","title":"11.3.3. \u63d2\u5165\u6392\u5e8f vs \u5192\u6ce1\u6392\u5e8f","text":"<p>Question</p> <p>\u867d\u7136\u300c\u63d2\u5165\u6392\u5e8f\u300d\u548c\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u4e3a \\(O(n^2)\\) \uff0c\u4f46\u5b9e\u9645\u8fd0\u884c\u901f\u5ea6\u5374\u6709\u5f88\u5927\u5dee\u522b\uff0c\u8fd9\u662f\u4e3a\u4ec0\u4e48\u5462\uff1f</p> <p>\u56de\u987e\u590d\u6742\u5ea6\u5206\u6790\uff0c\u4e24\u4e2a\u65b9\u6cd5\u7684\u5faa\u73af\u6b21\u6570\u90fd\u662f \\(\\frac{(n - 1) n}{2}\\) \u3002\u4f46\u4e0d\u540c\u7684\u662f\uff0c\u300c\u5192\u6ce1\u64cd\u4f5c\u300d\u662f\u5728\u505a \u5143\u7d20\u4ea4\u6362\uff0c\u9700\u8981\u501f\u52a9\u4e00\u4e2a\u4e34\u65f6\u53d8\u91cf\u5b9e\u73b0\uff0c\u5171 3 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u800c\u300c\u63d2\u5165\u64cd\u4f5c\u300d\u662f\u5728\u505a \u8d4b\u503c\uff0c\u53ea\u9700 1 \u4e2a\u5355\u5143\u64cd\u4f5c\uff1b\u56e0\u6b64\uff0c\u53ef\u4ee5\u7c97\u7565\u4f30\u8ba1\u51fa\u5192\u6ce1\u6392\u5e8f\u7684\u8ba1\u7b97\u5f00\u9500\u7ea6\u4e3a\u63d2\u5165\u6392\u5e8f\u7684 3 \u500d\u3002</p> <p>\u63d2\u5165\u6392\u5e8f\u8fd0\u884c\u901f\u5ea6\u5feb\uff0c\u5e76\u4e14\u5177\u6709\u539f\u5730\u3001\u7a33\u5b9a\u3001\u81ea\u9002\u5e94\u7684\u4f18\u70b9\uff0c\u56e0\u6b64\u5f88\u53d7\u6b22\u8fce\u3002\u5b9e\u9645\u4e0a\uff0c\u5305\u62ec Java \u5728\u5185\u7684\u8bb8\u591a\u7f16\u7a0b\u8bed\u8a00\u7684\u6392\u5e8f\u5e93\u51fd\u6570\u7684\u5b9e\u73b0\u90fd\u7528\u5230\u4e86\u63d2\u5165\u6392\u5e8f\u3002\u5e93\u51fd\u6570\u7684\u5927\u81f4\u601d\u8def\uff1a</p> <ul> <li>\u5bf9\u4e8e \u957f\u6570\u7ec4\uff0c\u91c7\u7528\u57fa\u4e8e\u5206\u6cbb\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4f8b\u5982\u300c\u5feb\u901f\u6392\u5e8f\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n \\log n)\\) \uff1b</li> <li>\u5bf9\u4e8e \u77ed\u6570\u7ec4\uff0c\u76f4\u63a5\u4f7f\u7528\u300c\u63d2\u5165\u6392\u5e8f\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff1b</li> </ul> <p>\u5728\u6570\u7ec4\u8f83\u77ed\u65f6\uff0c\u590d\u6742\u5ea6\u4e2d\u7684\u5e38\u6570\u9879\uff08\u5373\u6bcf\u8f6e\u4e2d\u7684\u5355\u5143\u64cd\u4f5c\u6570\u91cf\uff09\u5360\u4e3b\u5bfc\u4f5c\u7528\uff0c\u6b64\u65f6\u63d2\u5165\u6392\u5e8f\u8fd0\u884c\u5730\u66f4\u5feb\u3002\u8fd9\u4e2a\u73b0\u8c61\u4e0e\u300c\u7ebf\u6027\u67e5\u627e\u300d\u548c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7684\u60c5\u51b5\u7c7b\u4f3c\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/","title":"11.1. \u6392\u5e8f\u7b80\u4ecb","text":"<p>\u300c\u6392\u5e8f\u7b97\u6cd5 Sorting Algorithm\u300d\u4f7f\u5f97\u5217\u8868\u4e2d\u7684\u6240\u6709\u5143\u7d20\u6309\u7167\u4ece\u5c0f\u5230\u5927\u7684\u987a\u5e8f\u6392\u5217\u3002</p> <ul> <li>\u5f85\u6392\u5e8f\u7684\u5217\u8868\u7684 \u5143\u7d20\u7c7b\u578b \u53ef\u4ee5\u662f\u6574\u6570\u3001\u6d6e\u70b9\u6570\u3001\u5b57\u7b26\u3001\u6216\u5b57\u7b26\u4e32\uff1b</li> <li>\u6392\u5e8f\u7b97\u6cd5\u53ef\u4ee5\u6839\u636e\u9700\u8981\u8bbe\u5b9a \u5224\u65ad\u89c4\u5219\uff0c\u4f8b\u5982\u6570\u5b57\u5927\u5c0f\u3001\u5b57\u7b26 ASCII \u7801\u987a\u5e8f\u3001\u81ea\u5b9a\u4e49\u89c4\u5219\uff1b</li> </ul> <p></p> <p> Fig. \u6392\u5e8f\u4e2d\u7684\u4e0d\u540c\u5143\u7d20\u7c7b\u578b\u548c\u5224\u65ad\u89c4\u5219 </p>"},{"location":"chapter_sorting/intro_to_sort/#1111","title":"11.1.1. \u8bc4\u4ef7\u7ef4\u5ea6","text":"<p>\u6392\u5e8f\u7b97\u6cd5\u4e3b\u8981\u53ef\u6839\u636e \u7a33\u5b9a\u6027 \u3001\u5c31\u5730\u6027 \u3001\u81ea\u9002\u5e94\u6027 \u3001\u6bd4\u8f83\u7c7b \u6765\u5206\u7c7b\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_1","title":"\u7a33\u5b9a\u6027","text":"<ul> <li>\u300c\u7a33\u5b9a\u6392\u5e8f\u300d\u5728\u5b8c\u6210\u6392\u5e8f\u540e\uff0c\u4e0d\u6539\u53d8 \u76f8\u7b49\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> <li>\u300c\u975e\u7a33\u5b9a\u6392\u5e8f\u300d\u5728\u5b8c\u6210\u6392\u5e8f\u540e\uff0c\u76f8\u7b49\u5143\u7d20\u5728\u6570\u7ec4\u4e2d\u7684\u76f8\u5bf9\u4f4d\u7f6e \u53ef\u80fd\u88ab\u6539\u53d8\u3002</li> </ul> <p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u5b58\u50a8\u5b66\u751f\u4fe1\u606f\u7684\u8868\u683c\uff0c\u7b2c 1, 2 \u5217\u5206\u522b\u662f\u59d3\u540d\u548c\u5e74\u9f84\u3002\u90a3\u4e48\u5728\u4ee5\u4e0b\u793a\u4f8b\u4e2d\uff0c\u300c\u975e\u7a33\u5b9a\u6392\u5e8f\u300d\u4f1a\u5bfc\u81f4\u8f93\u5165\u6570\u636e\u7684\u6709\u5e8f\u6027\u4e22\u5931\u3002\u56e0\u6b64\u300c\u7a33\u5b9a\u6392\u5e8f\u300d\u662f\u5f88\u597d\u7684\u7279\u6027\uff0c\u5728\u591a\u7ea7\u6392\u5e8f\u4e2d\u662f\u5fc5\u987b\u7684\u3002</p> <pre><code>  # \u8f93\u5165\u6570\u636e\u662f\u6309\u7167\u59d3\u540d\u6392\u5e8f\u597d\u7684\n# (name, age)\n('A', 19)\n('B', 18)\n('C', 21)\n('D', 19)\n('E', 23)\n# \u5047\u8bbe\u4f7f\u7528\u975e\u7a33\u5b9a\u6392\u5e8f\u7b97\u6cd5\u6309\u5e74\u9f84\u6392\u5e8f\u5217\u8868\uff0c\n# \u7ed3\u679c\u4e2d ('D', 19) \u548c ('A', 19) \u7684\u76f8\u5bf9\u4f4d\u7f6e\u6539\u53d8\uff0c\n# \u8f93\u5165\u6570\u636e\u6309\u59d3\u540d\u6392\u5e8f\u7684\u6027\u8d28\u4e22\u5931\n('B', 18)\n('D', 19)\n('A', 19)  ('C', 21)\n('E', 23)\n</code></pre>"},{"location":"chapter_sorting/intro_to_sort/#_2","title":"\u5c31\u5730\u6027","text":"<ul> <li>\u300c\u539f\u5730\u6392\u5e8f\u300d\u65e0\u9700\u8f85\u52a9\u6570\u636e\uff0c\u4e0d\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff1b</li> <li>\u300c\u975e\u539f\u5730\u6392\u5e8f\u300d\u9700\u8981\u501f\u52a9\u8f85\u52a9\u6570\u636e\uff0c\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff1b</li> </ul> <p>\u300c\u539f\u5730\u6392\u5e8f\u300d\u4e0d\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff0c\u53ef\u4ee5\u8282\u7ea6\u5185\u5b58\uff1b\u5e76\u4e14\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u7531\u4e8e\u6570\u636e\u64cd\u4f5c\u51cf\u5c11\uff0c\u539f\u5730\u6392\u5e8f\u7684\u8fd0\u884c\u6548\u7387\u4e5f\u66f4\u9ad8\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_3","title":"\u81ea\u9002\u5e94\u6027","text":"<ul> <li>\u300c\u81ea\u9002\u5e94\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53d7\u8f93\u5165\u6570\u636e\u5f71\u54cd\uff0c\u5373\u6700\u4f73 / \u6700\u5dee / \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u76f8\u7b49\u3002</li> <li>\u300c\u975e\u81ea\u9002\u5e94\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6052\u5b9a\uff0c\u4e0e\u8f93\u5165\u6570\u636e\u65e0\u5173\u3002</li> </ul> <p>\u6211\u4eec\u5e0c\u671b \u6700\u5dee = \u5e73\u5747\uff0c\u5373\u4e0d\u5e0c\u671b\u6392\u5e8f\u7b97\u6cd5\u7684\u8fd0\u884c\u6548\u7387\u5728\u67d0\u4e9b\u8f93\u5165\u6570\u636e\u4e0b\u53d1\u751f\u52a3\u5316\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#_4","title":"\u6bd4\u8f83\u7c7b","text":"<ul> <li>\u300c\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u57fa\u4e8e\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u7b97\u5b50\uff08\u5c0f\u4e8e\u3001\u76f8\u7b49\u3001\u5927\u4e8e\uff09\u6765\u51b3\u5b9a\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> <li>\u300c\u975e\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u4e0d\u57fa\u4e8e\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u7b97\u5b50\u6765\u51b3\u5b9a\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u3002</li> </ul> <p>\u300c\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6700\u4f18\u4e3a \\(O(n \\log n)\\) \uff1b\u800c\u300c\u975e\u6bd4\u8f83\u7c7b\u6392\u5e8f\u300d\u53ef\u4ee5\u8fbe\u5230 \\(O(n)\\) \u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u4f46\u901a\u7528\u6027\u8f83\u5dee\u3002</p>"},{"location":"chapter_sorting/intro_to_sort/#1112","title":"11.1.2. \u7406\u60f3\u6392\u5e8f\u7b97\u6cd5","text":"<ul> <li>\u8fd0\u884c\u5feb\uff0c\u5373\u65f6\u95f4\u590d\u6742\u5ea6\u4f4e\uff1b</li> <li>\u7a33\u5b9a\u6392\u5e8f\uff0c\u5373\u6392\u5e8f\u540e\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u4e0d\u53d8\u5316\uff1b</li> <li>\u539f\u5730\u6392\u5e8f\uff0c\u5373\u8fd0\u884c\u4e2d\u4e0d\u4f7f\u7528\u989d\u5916\u7684\u8f85\u52a9\u7a7a\u95f4\uff1b</li> <li>\u6b63\u5411\u81ea\u9002\u5e94\u6027\uff0c\u5373\u7b97\u6cd5\u7684\u8fd0\u884c\u6548\u7387\u4e0d\u4f1a\u5728\u67d0\u4e9b\u8f93\u5165\u6570\u636e\u4e0b\u53d1\u751f\u52a3\u5316\uff1b</li> </ul> <p>\u7136\u800c\uff0c\u6ca1\u6709\u6392\u5e8f\u7b97\u6cd5\u540c\u65f6\u5177\u5907\u4ee5\u4e0a\u6240\u6709\u7279\u6027\u3002\u6392\u5e8f\u7b97\u6cd5\u7684\u9009\u578b\u4f7f\u7528\u53d6\u51b3\u4e8e\u5177\u4f53\u7684\u5217\u8868\u7c7b\u578b\u3001\u5217\u8868\u957f\u5ea6\u3001\u5143\u7d20\u5206\u5e03\u7b49\u56e0\u7d20\u3002</p>"},{"location":"chapter_sorting/merge_sort/","title":"11.5. \u5f52\u5e76\u6392\u5e8f","text":"<p>\u300c\u5f52\u5e76\u6392\u5e8f Merge Sort\u300d\u662f\u7b97\u6cd5\u4e2d\u201c\u5206\u6cbb\u601d\u60f3\u201d\u7684\u5178\u578b\u4f53\u73b0\uff0c\u5176\u6709\u300c\u5212\u5206\u300d\u548c\u300c\u5408\u5e76\u300d\u4e24\u4e2a\u9636\u6bb5\uff1a</p> <ol> <li>\u5212\u5206\u9636\u6bb5\uff1a\u901a\u8fc7\u9012\u5f52\u4e0d\u65ad \u5c06\u6570\u7ec4\u4ece\u4e2d\u70b9\u4f4d\u7f6e\u5212\u5206\u5f00\uff0c\u5c06\u957f\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\u8f6c\u5316\u4e3a\u77ed\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\uff1b</li> <li>\u5408\u5e76\u9636\u6bb5\uff1a\u5212\u5206\u5230\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\uff0c\u5f00\u59cb\u5411\u4e0a\u5408\u5e76\uff0c\u4e0d\u65ad\u5c06 \u5de6\u3001\u53f3\u4e24\u4e2a\u77ed\u6392\u5e8f\u6570\u7ec4 \u5408\u5e76\u4e3a \u4e00\u4e2a\u957f\u6392\u5e8f\u6570\u7ec4\uff0c\u76f4\u81f3\u5408\u5e76\u81f3\u539f\u6570\u7ec4\u65f6\u5b8c\u6210\u6392\u5e8f\uff1b</li> </ol> <p></p> <p> Fig. \u5f52\u5e76\u6392\u5e8f\u4e24\u9636\u6bb5\uff1a\u5212\u5206\u4e0e\u5408\u5e76 </p>"},{"location":"chapter_sorting/merge_sort/#1151","title":"11.5.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<p>\u300c\u9012\u5f52\u5212\u5206\u300d \u4ece\u9876\u81f3\u5e95\u9012\u5f52\u5730 \u5c06\u6570\u7ec4\u4ece\u4e2d\u70b9\u5207\u4e3a\u4e24\u4e2a\u5b50\u6570\u7ec4\uff0c\u76f4\u81f3\u957f\u5ea6\u4e3a 1 \uff1b</p> <ol> <li>\u8ba1\u7b97\u6570\u7ec4\u4e2d\u70b9 <code>mid</code> \uff0c\u9012\u5f52\u5212\u5206\u5de6\u5b50\u6570\u7ec4\uff08\u533a\u95f4 <code>[left, mid]</code> \uff09\u548c\u53f3\u5b50\u6570\u7ec4\uff08\u533a\u95f4 <code>[mid + 1, right]</code> \uff09\uff1b</li> <li>\u9012\u5f52\u6267\u884c <code>1.</code> \u6b65\u9aa4\uff0c\u76f4\u81f3\u5b50\u6570\u7ec4\u533a\u95f4\u957f\u5ea6\u4e3a 1 \u65f6\uff0c\u7ec8\u6b62\u9012\u5f52\u5212\u5206\uff1b</li> </ol> <p>\u300c\u56de\u6eaf\u5408\u5e76\u300d \u4ece\u5e95\u81f3\u9876\u5730\u5c06\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\u5408\u5e76\u4e3a\u4e00\u4e2a \u6709\u5e8f\u6570\u7ec4 \uff1b</p> <p>\u9700\u8981\u6ce8\u610f\uff0c\u7531\u4e8e\u4ece\u957f\u5ea6\u4e3a 1 \u7684\u5b50\u6570\u7ec4\u5f00\u59cb\u5408\u5e76\uff0c\u6240\u4ee5 \u6bcf\u4e2a\u5b50\u6570\u7ec4\u90fd\u662f\u6709\u5e8f\u7684\u3002\u56e0\u6b64\uff0c\u5408\u5e76\u4efb\u52a1\u672c\u8d28\u662f\u8981 \u5c06\u4e24\u4e2a\u6709\u5e8f\u5b50\u6570\u7ec4\u5408\u5e76\u4e3a\u4e00\u4e2a\u6709\u5e8f\u6570\u7ec4\u3002</p> Step1Step2Step3Step4Step5Step6Step7Step8Step9Step10 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5f52\u5e76\u6392\u5e8f\u7684\u9012\u5f52\u987a\u5e8f\u5c31\u662f\u4e8c\u53c9\u6811\u7684\u300c\u540e\u5e8f\u904d\u5386\u300d\u3002</p> <ul> <li>\u540e\u5e8f\u904d\u5386\uff1a\u5148\u9012\u5f52\u5de6\u5b50\u6811\u3001\u518d\u9012\u5f52\u53f3\u5b50\u6811\u3001\u6700\u540e\u5904\u7406\u6839\u7ed3\u70b9\u3002</li> <li>\u5f52\u5e76\u6392\u5e8f\uff1a\u5148\u9012\u5f52\u5de6\u5b50\u6811\u3001\u518d\u9012\u5f52\u53f3\u5b50\u6811\u3001\u6700\u540e\u5904\u7406\u5408\u5e76\u3002</li> </ul> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig merge_sort.java<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(int[] nums, int left, int mid, int right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nint[] tmp = Arrays.copyOfRange(nums, left, right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(int[] nums, int left, int right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.cpp<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(vector&lt;int&gt;&amp; nums, int left, int mid, int right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nvector&lt;int&gt; tmp(nums.begin() + left, nums.begin() + right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.py<pre><code>\"\"\" \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 \"\"\"\n# \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n# \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\ndef merge(nums, left, mid, right):\n# \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4 \u501f\u52a9 copy\u6a21\u5757\ntmp = nums[left:right + 1]\n# \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nleft_start, left_end = left - left, mid - left\n# \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nright_start, right_end = mid + 1 - left, right - left\n# i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\ni, j = left_start, right_start\n# \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k in range(left, right + 1):\n# \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; left_end:\nnums[k] = tmp[j]\nj += 1\n# \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelif j &gt; right_end or tmp[i] &lt;= tmp[j]:\nnums[k] = tmp[i]\ni += 1\n# \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse:\nnums[k] = tmp[j]\nj += 1\n\"\"\" \u5f52\u5e76\u6392\u5e8f \"\"\"\ndef merge_sort(nums, left, right):\n# \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right:\nreturn                        # \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n# \u5212\u5206\u9636\u6bb5\nmid = (left + right) // 2         # \u8ba1\u7b97\u4e2d\u70b9\nmerge_sort(nums, left, mid)       # \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmerge_sort(nums, mid + 1, right)  # \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n# \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right)\n</code></pre> merge_sort.go<pre><code>/*\n    \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\n    \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n    \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\n*/\nfunc merge(nums []int, left, mid, right int) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4 \u501f\u52a9 copy \u6a21\u5757\ntmp := make([]int, right-left+1)\nfor i := left; i &lt;= right; i++ {\ntmp[i-left] = nums[i]\n}\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nleftStart, leftEnd := left-left, mid-left\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nrightStart, rightEnd := mid+1-left, right-left\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\ni, j := leftStart, rightStart\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k := left; k &lt;= right; k++ {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; leftEnd {\nnums[k] = tmp[j]\nj++\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if j &gt; rightEnd || tmp[i] &lt;= tmp[j] {\nnums[k] = tmp[i]\ni++\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j]\nj++\n}\n}\n}\nfunc mergeSort(nums []int, left, right int) {\n// \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right {\nreturn\n}\n// \u5212\u5206\u9636\u6bb5\nmid := (left + right) / 2\nmergeSort(nums, left, mid)\nmergeSort(nums, mid+1, right)\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right)\n}\n</code></pre> merge_sort.js<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nfunction merge(nums, left, mid, right) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = nums.slice(left, right + 1);   // \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nlet leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nlet rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nlet i = leftStart, j = rightStart;                // \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (let k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd) {\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if (j &gt; rightEnd || tmp[i] &lt;= tmp[j]) {\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j++];\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunction mergeSort(nums, left, right) {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nlet mid = Math.floor((left + right) / 2);    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.ts<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nfunction merge(nums: number[], left: number, mid: number, right: number): void {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = nums.slice(left, right + 1);\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nlet i = leftStart, j = rightStart;\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (let k = left; k &lt;= right; k++) {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd) {\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\n} else if (j &gt; rightEnd || tmp[i] &lt;= tmp[j]) {\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\n} else {\nnums[k] = tmp[j++];\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunction mergeSort(nums: number[], left: number, right: number): void {\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return; // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nlet mid = Math.floor((left + right) / 2); // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid); // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.c<pre><code>\n</code></pre> merge_sort.cs<pre><code>/* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4 */\n// \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n// \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\nvoid merge(int[] nums, int left, int mid, int right)\n{\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nint[] tmp = nums[left..(right + 1)];\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15  \nint leftStart = left - left, leftEnd = mid - left;\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15       \nint rightStart = mid + 1 - left, rightEnd = right - left;\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nint i = leftStart, j = rightStart;\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor (int k = left; k &lt;= right; k++)\n{\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif (i &gt; leftEnd)\nnums[k] = tmp[j++];\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if (j &gt; rightEnd || tmp[i] &lt;= tmp[j])\nnums[k] = tmp[i++];\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse\nnums[k] = tmp[j++];\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nvoid mergeSort(int[] nums, int left, int right)\n{\n// \u7ec8\u6b62\u6761\u4ef6\nif (left &gt;= right) return;       // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\n// \u5212\u5206\u9636\u6bb5\nint mid = (left + right) / 2;    // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums, left, mid);      // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums, mid + 1, right); // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums, left, mid, right);\n}\n</code></pre> merge_sort.swift<pre><code>/**\n* \u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\n* \u5de6\u5b50\u6570\u7ec4\u533a\u95f4 [left, mid]\n* \u53f3\u5b50\u6570\u7ec4\u533a\u95f4 [mid + 1, right]\n*/\nfunc merge(nums: inout [Int], left: Int, mid: Int, right: Int) {\n// \u521d\u59cb\u5316\u8f85\u52a9\u6570\u7ec4\nlet tmp = Array(nums[left ..&lt; (right + 1)])\n// \u5de6\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet leftStart = left - left\nlet leftEnd = mid - left\n// \u53f3\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u7d22\u5f15\u548c\u7ed3\u675f\u7d22\u5f15\nlet rightStart = mid + 1 - left\nlet rightEnd = right - left\n// i, j \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u7684\u9996\u5143\u7d20\nvar i = leftStart\nvar j = rightStart\n// \u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 nums \u6765\u5408\u5e76\u5de6\u5b50\u6570\u7ec4\u548c\u53f3\u5b50\u6570\u7ec4\nfor k in left ... right {\n// \u82e5\u201c\u5de6\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nif i &gt; leftEnd {\nnums[k] = tmp[j]\nj += 1\n}\n// \u5426\u5219\uff0c\u82e5\u201c\u53f3\u5b50\u6570\u7ec4\u5df2\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u6216\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &lt;= \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u5de6\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 i++\nelse if j &gt; rightEnd || tmp[i] &lt;= tmp[j] {\nnums[k] = tmp[i]\ni += 1\n}\n// \u5426\u5219\uff0c\u82e5\u201c\u5de6\u53f3\u5b50\u6570\u7ec4\u90fd\u672a\u5168\u90e8\u5408\u5e76\u5b8c\u201d\u4e14\u201c\u5de6\u5b50\u6570\u7ec4\u5143\u7d20 &gt; \u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u201d\uff0c\u5219\u9009\u53d6\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u4e14 j++\nelse {\nnums[k] = tmp[j]\nj += 1\n}\n}\n}\n/* \u5f52\u5e76\u6392\u5e8f */\nfunc mergeSort(nums: inout [Int], left: Int, right: Int) {\n// \u7ec8\u6b62\u6761\u4ef6\nif left &gt;= right { // \u5f53\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nreturn\n}\n// \u5212\u5206\u9636\u6bb5\nlet mid = (left + right) / 2 // \u8ba1\u7b97\u4e2d\u70b9\nmergeSort(nums: &amp;nums, left: left, right: mid) // \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\nmergeSort(nums: &amp;nums, left: mid + 1, right: right) // \u9012\u5f52\u53f3\u5b50\u6570\u7ec4\n// \u5408\u5e76\u9636\u6bb5\nmerge(nums: &amp;nums, left: left, mid: mid, right: right)\n}\n</code></pre> merge_sort.zig<pre><code>\n</code></pre> <p>\u4e0b\u9762\u91cd\u70b9\u89e3\u91ca\u4e00\u4e0b\u5408\u5e76\u65b9\u6cd5 <code>merge()</code> \u7684\u6d41\u7a0b\uff1a</p> <ol> <li>\u521d\u59cb\u5316\u4e00\u4e2a\u8f85\u52a9\u6570\u7ec4 <code>tmp</code> \u6682\u5b58\u5f85\u5408\u5e76\u533a\u95f4 <code>[left, right]</code> \u5185\u7684\u5143\u7d20\uff0c\u540e\u7eed\u901a\u8fc7\u8986\u76d6\u539f\u6570\u7ec4 <code>nums</code> \u7684\u5143\u7d20\u6765\u5b9e\u73b0\u5408\u5e76\uff1b</li> <li>\u521d\u59cb\u5316\u6307\u9488 <code>i</code> , <code>j</code> , <code>k</code> \u5206\u522b\u6307\u5411\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\u3001\u539f\u6570\u7ec4\u7684\u9996\u5143\u7d20\uff1b</li> <li>\u5faa\u73af\u5224\u65ad <code>tmp[i]</code> \u548c <code>tmp[j]</code> \u7684\u5927\u5c0f\uff0c\u5c06\u8f83\u5c0f\u7684\u5148\u8986\u76d6\u81f3 <code>nums[k]</code> \uff0c\u6307\u9488 <code>i</code> , <code>j</code> \u6839\u636e\u5224\u65ad\u7ed3\u679c\u4ea4\u66ff\u524d\u8fdb\uff08\u6307\u9488 <code>k</code> \u4e5f\u524d\u8fdb\uff09\uff0c\u76f4\u81f3\u4e24\u4e2a\u5b50\u6570\u7ec4\u90fd\u904d\u5386\u5b8c\uff0c\u5373\u53ef\u5b8c\u6210\u5408\u5e76\u3002</li> </ol> <p>\u5408\u5e76\u65b9\u6cd5 <code>merge()</code> \u4ee3\u7801\u4e2d\u7684\u4e3b\u8981\u96be\u70b9\uff1a</p> <ul> <li><code>nums</code> \u7684\u5f85\u5408\u5e76\u533a\u95f4\u4e3a <code>[left, right]</code> \uff0c\u800c\u56e0\u4e3a <code>tmp</code> \u53ea\u590d\u5236\u4e86 <code>nums</code> \u8be5\u533a\u95f4\u5143\u7d20\uff0c\u6240\u4ee5 <code>tmp</code> \u5bf9\u5e94\u533a\u95f4\u4e3a <code>[0, right - left]</code> \uff0c\u9700\u8981\u7279\u522b\u6ce8\u610f\u4ee3\u7801\u4e2d\u5404\u4e2a\u53d8\u91cf\u7684\u542b\u4e49\u3002</li> <li>\u5224\u65ad <code>tmp[i]</code> \u548c <code>tmp[j]</code> \u7684\u5927\u5c0f\u7684\u64cd\u4f5c\u4e2d\uff0c\u8fd8 \u9700\u8003\u8651\u5f53\u5b50\u6570\u7ec4\u904d\u5386\u5b8c\u6210\u540e\u7684\u7d22\u5f15\u8d8a\u754c\u95ee\u9898\uff0c\u5373 <code>i &gt; leftEnd</code> \u548c <code>j &gt; rightEnd</code> \u7684\u60c5\u51b5\uff0c\u7d22\u5f15\u8d8a\u754c\u7684\u4f18\u5148\u7ea7\u662f\u6700\u9ad8\u7684\uff0c\u4f8b\u5982\u5982\u679c\u5de6\u5b50\u6570\u7ec4\u5df2\u7ecf\u88ab\u5408\u5e76\u5b8c\u4e86\uff0c\u90a3\u4e48\u4e0d\u7528\u7ee7\u7eed\u5224\u65ad\uff0c\u76f4\u63a5\u5408\u5e76\u53f3\u5b50\u6570\u7ec4\u5143\u7d20\u5373\u53ef\u3002</li> </ul>"},{"location":"chapter_sorting/merge_sort/#1152","title":"11.5.2. \u7b97\u6cd5\u7279\u6027","text":"<ul> <li>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n \\log n)\\) \uff1a\u5212\u5206\u5f62\u6210\u9ad8\u5ea6\u4e3a \\(\\log n\\) \u7684\u9012\u5f52\u6811\uff0c\u6bcf\u5c42\u5408\u5e76\u7684\u603b\u64cd\u4f5c\u6570\u91cf\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n \\log n)\\) \u65f6\u95f4\u3002</li> <li>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u9700\u501f\u52a9\u8f85\u52a9\u6570\u7ec4\u5b9e\u73b0\u5408\u5e76\uff0c\u4f7f\u7528 \\(O(n)\\) \u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\uff1b\u9012\u5f52\u6df1\u5ea6\u4e3a \\(\\log n\\) \uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</li> <li>\u975e\u539f\u5730\u6392\u5e8f\uff1a\u8f85\u52a9\u6570\u7ec4\u9700\u8981\u4f7f\u7528 \\(O(n)\\) \u989d\u5916\u7a7a\u95f4\u3002</li> <li>\u7a33\u5b9a\u6392\u5e8f\uff1a\u5728\u5408\u5e76\u65f6\u53ef\u4fdd\u8bc1\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u4e0d\u53d8\u3002</li> <li>\u975e\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u5bf9\u4e8e\u4efb\u610f\u8f93\u5165\u6570\u636e\uff0c\u5f52\u5e76\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u76f8\u540c\u3002</li> </ul>"},{"location":"chapter_sorting/merge_sort/#1153","title":"11.5.3. \u94fe\u8868\u6392\u5e8f *","text":"<p>\u5f52\u5e76\u6392\u5e8f\u6709\u4e00\u4e2a\u5f88\u7279\u522b\u7684\u4f18\u52bf\uff0c\u7528\u4e8e\u6392\u5e8f\u94fe\u8868\u65f6\u6709\u5f88\u597d\u7684\u6027\u80fd\u8868\u73b0\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u53ef\u88ab\u4f18\u5316\u81f3 \\(O(1)\\) \uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u7531\u4e8e\u94fe\u8868\u53ef\u4ec5\u901a\u8fc7\u6539\u53d8\u6307\u9488\u6765\u5b9e\u73b0\u7ed3\u70b9\u589e\u5220\uff0c\u56e0\u6b64\u201c\u5c06\u4e24\u4e2a\u77ed\u6709\u5e8f\u94fe\u8868\u5408\u5e76\u4e3a\u4e00\u4e2a\u957f\u6709\u5e8f\u94fe\u8868\u201d\u65e0\u9700\u4f7f\u7528\u989d\u5916\u7a7a\u95f4\uff0c\u5373\u56de\u6eaf\u5408\u5e76\u9636\u6bb5\u4e0d\u7528\u50cf\u6392\u5e8f\u6570\u7ec4\u4e00\u6837\u5efa\u7acb\u8f85\u52a9\u6570\u7ec4 <code>tmp</code> \uff1b</li> <li>\u901a\u8fc7\u4f7f\u7528\u300c\u8fed\u4ee3\u300d\u4ee3\u66ff\u300c\u9012\u5f52\u5212\u5206\u300d\uff0c\u53ef\u7701\u53bb\u9012\u5f52\u4f7f\u7528\u7684\u6808\u5e27\u7a7a\u95f4\uff1b</li> </ul> <p>\u8be6\u60c5\u53c2\u8003\uff1a148. \u6392\u5e8f\u94fe\u8868</p>"},{"location":"chapter_sorting/quick_sort/","title":"11.4. \u5feb\u901f\u6392\u5e8f","text":"<p>\u300c\u5feb\u901f\u6392\u5e8f Quick Sort\u300d\u662f\u4e00\u79cd\u57fa\u4e8e\u201c\u5206\u6cbb\u601d\u60f3\u201d\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u901f\u5ea6\u5f88\u5feb\u3001\u5e94\u7528\u5f88\u5e7f\u3002</p> <p>\u5feb\u901f\u6392\u5e8f\u7684\u6838\u5fc3\u64cd\u4f5c\u4e3a\u300c\u54e8\u5175\u5212\u5206\u300d\uff0c\u5176\u76ee\u6807\u4e3a\uff1a\u9009\u53d6\u6570\u7ec4\u67d0\u4e2a\u5143\u7d20\u4e3a \u57fa\u51c6\u6570\uff0c\u5c06\u6240\u6709\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\u79fb\u52a8\u81f3\u5176\u5de6\u8fb9\uff0c\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\u79fb\u52a8\u81f3\u5176\u53f3\u8fb9\u3002\u300c\u54e8\u5175\u5212\u5206\u300d\u7684\u5b9e\u73b0\u6d41\u7a0b\u4e3a\uff1a</p> <ol> <li>\u4ee5\u6570\u7ec4\u6700\u5de6\u7aef\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u6570\uff0c\u521d\u59cb\u5316\u4e24\u4e2a\u6307\u9488 <code>i</code> , <code>j</code> \u6307\u5411\u6570\u7ec4\u4e24\u7aef\uff1b</li> <li>\u8bbe\u7f6e\u4e00\u4e2a\u5faa\u73af\uff0c\u6bcf\u8f6e\u4e2d\u4f7f\u7528 <code>i</code> / <code>j</code> \u5206\u522b\u5bfb\u627e\u9996\u4e2a\u6bd4\u57fa\u51c6\u6570\u5927 / \u5c0f\u7684\u5143\u7d20\uff0c\u5e76\u4ea4\u6362\u6b64\u4e24\u5143\u7d20\uff1b</li> <li>\u4e0d\u65ad\u5faa\u73af\u6b65\u9aa4 <code>2.</code> \uff0c\u76f4\u81f3 <code>i</code> , <code>j</code> \u76f8\u9047\u65f6\u8df3\u51fa\uff0c\u6700\u7ec8\u628a\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u4e2a\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\uff1b</li> </ol> <p>\u300c\u54e8\u5175\u5212\u5206\u300d\u6267\u884c\u5b8c\u6bd5\u540e\uff0c\u539f\u6570\u7ec4\u88ab\u5212\u5206\u6210\u4e24\u4e2a\u90e8\u5206\uff0c\u5373 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4\uff0c\u4e14\u6ee1\u8db3 \u5de6\u5b50\u6570\u7ec4\u4efb\u610f\u5143\u7d20 &lt; \u57fa\u51c6\u6570 &lt; \u53f3\u5b50\u6570\u7ec4\u4efb\u610f\u5143\u7d20\u3002\u56e0\u6b64\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u53ea\u9700\u8981\u6392\u5e8f\u4e24\u4e2a\u5b50\u6570\u7ec4\u5373\u53ef\u3002</p> Step 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9 <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p></p> <p> Fig. \u54e8\u5175\u5212\u5206 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(int[] nums, int i, int j) {\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(int[] nums, int left, int right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(vector&lt;int&gt;&amp; nums, int i, int j) {\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u54e8\u5175\u5212\u5206 \"\"\"\ndef partition(self, nums, left, right):\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j = left, right\nwhile i &lt; j:\nwhile i &lt; j and nums[j] &gt;= nums[left]:\nj -= 1  # \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile i &lt; j and nums[i] &lt;= nums[left]:\ni += 1  # \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n# \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n# \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i  # \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n</code></pre> quick_sort.go<pre><code>/* \u54e8\u5175\u5212\u5206 */\nfunc (q *quickSort) partition(nums []int, left, right int) int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j := left, right\nfor i &lt; j {\nfor i &lt; j &amp;&amp; nums[j] &gt;= nums[left] {\nj-- // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nfor i &lt; j &amp;&amp; nums[i] &lt;= nums[left] {\ni++ // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n}\n// \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.js<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nswap(nums, i, j) {\nlet tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\npartition(nums, left, right) {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nswap(nums: number[], i: number, j: number): void {\nlet tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\npartition(nums: number[], left: number, right: number): number {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n// \u5143\u7d20\u4ea4\u6362\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSort}-[func]{partition}\n</code></pre> quick_sort.cs<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nvoid swap(int[] nums, int i, int j)\n{\nint tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n/* \u54e8\u5175\u5212\u5206 */\nint partition(int[] nums, int left, int right)\n{\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j)\n{\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5143\u7d20\u4ea4\u6362 */\nfunc swap(nums: inout [Int], i: Int, j: Int) {\nlet tmp = nums[i]\nnums[i] = nums[j]\nnums[j] = tmp\n}\n/* \u54e8\u5175\u5212\u5206 */\nfunc partition(nums: inout [Int], left: Int, right: Int) -&gt; Int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left\nvar j = right\nwhile i &lt; j {\nwhile i &lt; j, nums[j] &gt;= nums[left] {\nj -= 1 // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile i &lt; j, nums[i] &lt;= nums[left] {\ni += 1 // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nswap(nums: &amp;nums, i: i, j: j) // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums: &amp;nums, i: i, j: left) // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.zig<pre><code>// \u5143\u7d20\u4ea4\u6362\nfn swap(nums: []i32, i: usize, j: usize) void {\nvar tmp = nums[i];\nnums[i] = nums[j];\nnums[j] = tmp;\n}\n// \u54e8\u5175\u5212\u5206\nfn partition(nums: []i32, left: usize, right: usize) usize {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left;\nvar j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j and nums[j] &gt;= nums[left]) j -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j and nums[i] &lt;= nums[left]) i += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j);   // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);    // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;               // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> <p>\u5feb\u901f\u6392\u5e8f\u7684\u5206\u6cbb\u601d\u60f3</p> <p>\u54e8\u5175\u5212\u5206\u7684\u5b9e\u8d28\u662f\u5c06 \u4e00\u4e2a\u957f\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898 \u7b80\u5316\u4e3a \u4e24\u4e2a\u77ed\u6570\u7ec4\u7684\u6392\u5e8f\u95ee\u9898\u3002</p>"},{"location":"chapter_sorting/quick_sort/#1141","title":"11.4.1. \u7b97\u6cd5\u6d41\u7a0b","text":"<ol> <li>\u9996\u5148\uff0c\u5bf9\u6570\u7ec4\u6267\u884c\u4e00\u6b21\u300c\u54e8\u5175\u5212\u5206\u300d\uff0c\u5f97\u5230\u5f85\u6392\u5e8f\u7684 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4\uff1b</li> <li>\u63a5\u4e0b\u6765\uff0c\u5bf9 \u5de6\u5b50\u6570\u7ec4 \u548c \u53f3\u5b50\u6570\u7ec4 \u5206\u522b \u9012\u5f52\u6267\u884c\u300c\u54e8\u5175\u5212\u5206\u300d\u2026\u2026</li> <li>\u76f4\u81f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6 \u7ec8\u6b62\u9012\u5f52\uff0c\u5373\u53ef\u5b8c\u6210\u5bf9\u6574\u4e2a\u6570\u7ec4\u7684\u6392\u5e8f\uff1b</li> </ol> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u5feb\u901f\u6392\u5e8f\u548c\u300c\u4e8c\u5206\u67e5\u627e\u300d\u7684\u539f\u7406\u7c7b\u4f3c\uff0c\u90fd\u662f\u4ee5\u5bf9\u6570\u9636\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u7f29\u5c0f\u5904\u7406\u533a\u95f4\u3002</p> <p></p> <p> Fig. \u5feb\u901f\u6392\u5e8f\u6d41\u7a0b </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(int[] nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u5feb\u901f\u6392\u5e8f \"\"\"\ndef quick_sort(self, nums, left, right):\n# \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right:\nreturn\n# \u54e8\u5175\u5212\u5206\npivot = self.partition(nums, left, right)\n# \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nself.quick_sort(nums, left, pivot - 1)\nself.quick_sort(nums, pivot + 1, right)\n</code></pre> quick_sort.go<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nfunc (q *quickSort) quickSort(nums []int, left, right int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right {\nreturn\n}\n// \u54e8\u5175\u5212\u5206\npivot := q.partition(nums, left, right)\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nq.quickSort(nums, left, pivot-1)\nq.quickSort(nums, pivot+1, right)\n}\n</code></pre> quick_sort.js<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nquickSort(nums, left, right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) return;\n// \u54e8\u5175\u5212\u5206\nconst pivot = this.partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nthis.quickSort(nums, left, pivot - 1);\nthis.quickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nquickSort(nums: number[], left: number, right: number): void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) {\nreturn;\n}\n// \u54e8\u5175\u5212\u5206\nconst pivot = this.partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nthis.quickSort(nums, left, pivot - 1);\nthis.quickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSort}-[func]{quickSort}\n</code></pre> quick_sort.cs<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nvoid quickSort(int[] nums, int left, int right)\n{\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right)\nreturn;\n// \u54e8\u5175\u5212\u5206\nint pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5feb\u901f\u6392\u5e8f */\nfunc quickSort(nums: inout [Int], left: Int, right: Int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif left &gt;= right {\nreturn\n}\n// \u54e8\u5175\u5212\u5206\nlet pivot = partition(nums: &amp;nums, left: left, right: right)\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums: &amp;nums, left: left, right: pivot - 1)\nquickSort(nums: &amp;nums, left: pivot + 1, right: right)\n}\n</code></pre> quick_sort.zig<pre><code>// \u5feb\u901f\u6392\u5e8f\nfn quickSort(nums: []i32, left: usize, right: usize) void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nif (left &gt;= right) return;\n// \u54e8\u5175\u5212\u5206\nvar pivot = partition(nums, left, right);\n// \u9012\u5f52\u5de6\u5b50\u6570\u7ec4\u3001\u53f3\u5b50\u6570\u7ec4\nquickSort(nums, left, pivot - 1);\nquickSort(nums, pivot + 1, right);\n}\n</code></pre>"},{"location":"chapter_sorting/quick_sort/#1142","title":"11.4.2. \u7b97\u6cd5\u7279\u6027","text":"<p>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n \\log n)\\) \uff1a\u5e73\u5747\u60c5\u51b5\u4e0b\uff0c\u54e8\u5175\u5212\u5206\u7684\u9012\u5f52\u5c42\u6570\u4e3a \\(\\log n\\) \uff0c\u6bcf\u5c42\u4e2d\u7684\u603b\u5faa\u73af\u6570\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n \\log n)\\) \u65f6\u95f4\u3002</p> <p>\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6 \\(O(n^2)\\) \uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u5c06\u957f\u5ea6\u4e3a \\(n\\) \u7684\u6570\u7ec4\u5212\u5206\u4e3a\u957f\u5ea6\u4e3a \\(0\\) \u548c \\(n - 1\\) \u7684\u4e24\u4e2a\u5b50\u6570\u7ec4\uff0c\u6b64\u65f6\u9012\u5f52\u5c42\u6570\u8fbe\u5230 \\(n\\) \u5c42\uff0c\u6bcf\u5c42\u4e2d\u7684\u5faa\u73af\u6570\u4e3a \\(n\\) \uff0c\u603b\u4f53\u4f7f\u7528 \\(O(n^2)\\) \u65f6\u95f4\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6 \\(O(n)\\) \uff1a\u8f93\u5165\u6570\u7ec4\u5b8c\u5168\u5012\u5e8f\u4e0b\uff0c\u8fbe\u5230\u6700\u5dee\u9012\u5f52\u6df1\u5ea6 \\(n\\) \u3002</p> <p>\u539f\u5730\u6392\u5e8f\uff1a\u53ea\u5728\u9012\u5f52\u4e2d\u4f7f\u7528 \\(O(\\log n)\\) \u5927\u5c0f\u7684\u6808\u5e27\u7a7a\u95f4\u3002</p> <p>\u975e\u7a33\u5b9a\u6392\u5e8f\uff1a\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u53ef\u80fd\u6539\u53d8\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u3002</p> <p>\u81ea\u9002\u5e94\u6392\u5e8f\uff1a\u6700\u5dee\u60c5\u51b5\u4e0b\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n^2)\\) \u3002</p>"},{"location":"chapter_sorting/quick_sort/#1143","title":"11.4.3. \u5feb\u6392\u4e3a\u4ec0\u4e48\u5feb\uff1f","text":"<p>\u4ece\u547d\u540d\u80fd\u591f\u770b\u51fa\uff0c\u5feb\u901f\u6392\u5e8f\u5728\u6548\u7387\u65b9\u9762\u4e00\u5b9a\u201c\u6709\u4e24\u628a\u5237\u5b50\u201d\u3002\u5feb\u901f\u6392\u5e8f\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u867d\u7136\u4e0e\u300c\u5f52\u5e76\u6392\u5e8f\u300d\u548c\u300c\u5806\u6392\u5e8f\u300d\u4e00\u81f4\uff0c\u4f46\u5b9e\u9645 \u6548\u7387\u66f4\u9ad8\uff0c\u8fd9\u662f\u56e0\u4e3a\uff1a</p> <ul> <li>\u51fa\u73b0\u6700\u5dee\u60c5\u51b5\u7684\u6982\u7387\u5f88\u4f4e\uff1a\u867d\u7136\u5feb\u901f\u6392\u5e8f\u7684\u6700\u5dee\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n^2)\\) \uff0c\u4e0d\u5982\u5f52\u5e76\u6392\u5e8f\uff0c\u4f46\u7edd\u5927\u90e8\u5206\u60c5\u51b5\u4e0b\uff0c\u5feb\u901f\u6392\u5e8f\u53ef\u4ee5\u8fbe\u5230 \\(O(n \\log n)\\) \u7684\u590d\u6742\u5ea6\u3002</li> <li>\u7f13\u5b58\u4f7f\u7528\u6548\u7387\u9ad8\uff1a\u54e8\u5175\u5212\u5206\u64cd\u4f5c\u65f6\uff0c\u5c06\u6574\u4e2a\u5b50\u6570\u7ec4\u52a0\u8f7d\u5165\u7f13\u5b58\u4e2d\uff0c\u8bbf\u95ee\u5143\u7d20\u6548\u7387\u5f88\u9ad8\u3002\u800c\u8bf8\u5982\u300c\u5806\u6392\u5e8f\u300d\u9700\u8981\u8df3\u8dc3\u5f0f\u8bbf\u95ee\u5143\u7d20\uff0c\u56e0\u6b64\u4e0d\u5177\u6709\u6b64\u7279\u6027\u3002</li> <li>\u590d\u6742\u5ea6\u7684\u5e38\u6570\u7cfb\u6570\u4f4e\uff1a\u5728\u63d0\u53ca\u7684\u4e09\u79cd\u7b97\u6cd5\u4e2d\uff0c\u5feb\u901f\u6392\u5e8f\u7684 \u6bd4\u8f83\u3001\u8d4b\u503c\u3001\u4ea4\u6362 \u4e09\u79cd\u64cd\u4f5c\u7684\u603b\u4f53\u6570\u91cf\u6700\u5c11\uff08\u7c7b\u4f3c\u4e8e\u300c\u63d2\u5165\u6392\u5e8f\u300d\u5feb\u4e8e\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u7684\u539f\u56e0\uff09\u3002</li> </ul>"},{"location":"chapter_sorting/quick_sort/#1144","title":"11.4.4. \u57fa\u51c6\u6570\u4f18\u5316","text":"<p>\u666e\u901a\u5feb\u901f\u6392\u5e8f\u5728\u67d0\u4e9b\u8f93\u5165\u4e0b\u7684\u65f6\u95f4\u6548\u7387\u53d8\u5dee\u3002\u4e3e\u4e2a\u6781\u7aef\u4f8b\u5b50\uff0c\u5047\u8bbe\u8f93\u5165\u6570\u7ec4\u662f\u5b8c\u5168\u5012\u5e8f\u7684\uff0c\u7531\u4e8e\u6211\u4eec\u9009\u53d6\u6700\u5de6\u7aef\u5143\u7d20\u4e3a\u57fa\u51c6\u6570\uff0c\u90a3\u4e48\u5728\u54e8\u5175\u5212\u5206\u5b8c\u6210\u540e\uff0c\u57fa\u51c6\u6570\u88ab\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u53f3\u7aef\uff0c\u4ece\u800c \u5de6\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a \\(n - 1\\)\u3001\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a \\(0\\) \u3002\u8fd9\u6837\u8fdb\u4e00\u6b65\u9012\u5f52\u4e0b\u53bb\uff0c\u6bcf\u8f6e\u54e8\u5175\u5212\u5206\u540e\u7684\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u90fd\u4e3a \\(0\\) \uff0c\u5206\u6cbb\u7b56\u7565\u5931\u6548\uff0c\u5feb\u901f\u6392\u5e8f\u9000\u5316\u4e3a\u300c\u5192\u6ce1\u6392\u5e8f\u300d\u4e86\u3002</p> <p>\u4e3a\u4e86\u5c3d\u91cf\u907f\u514d\u8fd9\u79cd\u60c5\u51b5\u53d1\u751f\uff0c\u6211\u4eec\u53ef\u4ee5\u4f18\u5316\u4e00\u4e0b\u57fa\u51c6\u6570\u7684\u9009\u53d6\u7b56\u7565\u3002\u9996\u5148\uff0c\u5728\u54e8\u5175\u5212\u5206\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5 \u968f\u673a\u9009\u53d6\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u6570\u3002\u4f46\u5982\u679c\u8fd0\u6c14\u5f88\u5dee\uff0c\u6bcf\u6b21\u90fd\u9009\u62e9\u5230\u6bd4\u8f83\u5dee\u7684\u57fa\u51c6\u6570\uff0c\u90a3\u4e48\u6548\u7387\u4f9d\u7136\u4e0d\u597d\u3002</p> <p>\u8fdb\u4e00\u6b65\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u6570\u7ec4\u4e2d\u9009\u53d6 3 \u4e2a\u5019\u9009\u5143\u7d20\uff08\u4e00\u822c\u4e3a\u6570\u7ec4\u7684\u9996\u3001\u5c3e\u3001\u4e2d\u70b9\u5143\u7d20\uff09\uff0c\u5e76\u5c06\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\u4f5c\u4e3a\u57fa\u51c6\u6570\uff0c\u8fd9\u6837\u57fa\u51c6\u6570\u201c\u65e2\u4e0d\u5927\u4e5f\u4e0d\u5c0f\u201d\u7684\u6982\u7387\u5c31\u5927\u5927\u63d0\u5347\u4e86\u3002\u5f53\u7136\uff0c\u5982\u679c\u6570\u7ec4\u5f88\u957f\u7684\u8bdd\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u9009\u53d6\u66f4\u591a\u5019\u9009\u5143\u7d20\uff0c\u6765\u8fdb\u4e00\u6b65\u63d0\u5347\u7b97\u6cd5\u7684\u7a33\u5065\u6027\u3002\u91c7\u53d6\u8be5\u65b9\u6cd5\u540e\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n^2)\\) \u7684\u6982\u7387\u6781\u4f4e\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(int[] nums, int left, int mid, int right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(int[] nums, int left, int right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(vector&lt;int&gt;&amp; nums, int left, int mid, int right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 \"\"\"\ndef median_three(self, nums, left, mid, right):\n# \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n# \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]):\nreturn left\nelif (nums[mid] &lt; nums[left]) ^ (nums[mid] &gt; nums[right]):\nreturn mid\nreturn right\n\"\"\" \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 \"\"\"\ndef partition(self, nums, left, right):\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nmed = self.median_three(nums, left, (left + right) // 2, right)\n# \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nnums[left], nums[med] = nums[med], nums[left]\n# \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j = left, right\nwhile i &lt; j:\nwhile i &lt; j and nums[j] &gt;= nums[left]:\nj -= 1  # \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile i &lt; j and nums[i] &lt;= nums[left]:\ni += 1  # \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n# \u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n# \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i  # \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n</code></pre> quick_sort.go<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nfunc (q *quickSortMedian) medianThree(nums []int, left, mid, right int) int {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\uff08!= \u5728\u8fd9\u91cc\u8d77\u5230\u5f02\u6216\u7684\u4f5c\u7528\uff09\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right]) {\nreturn left\n} else if (nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right]) {\nreturn mid\n}\nreturn right\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09*/\nfunc (q *quickSortMedian) partition(nums []int, left, right int) int {\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nmed := q.medianThree(nums, left, (left+right)/2, right)\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nnums[left], nums[med] = nums[med], nums[left]\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\ni, j := left, right\nfor i &lt; j {\nfor i &lt; j &amp;&amp; nums[j] &gt;= nums[left] {\nj-- //\u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nfor i &lt; j &amp;&amp; nums[i] &lt;= nums[left] {\ni++ //\u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\n//\u5143\u7d20\u4ea4\u6362\nnums[i], nums[j] = nums[j], nums[i]\n}\n//\u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nnums[i], nums[left] = nums[left], nums[i]\nreturn i //\u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.js<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nmedianThree(nums, left, mid, right) {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right])) return left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right])) return mid;\nelse return right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\npartition(nums, left, right) {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nthis.swap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) j--; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) i++; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.ts<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nmedianThree(nums: number[], left: number, mid: number, right: number): number {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif (Number(nums[left] &lt; nums[mid]) ^ Number(nums[left] &lt; nums[right])) {\nreturn left;\n} else if (Number(nums[mid] &lt; nums[left]) ^ Number(nums[mid] &lt; nums[right])) {\nreturn mid;\n} else {\nreturn right;\n}\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\npartition(nums: number[], left: number, right: number): number {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nthis.swap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nlet i = left, j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left]) {\nj--; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left]) {\ni++; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\n}\nthis.swap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nthis.swap(nums, i, left); // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i; // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSortMedian}-[func]{medianThree}\n[class]{quickSortMedian}-[func]{partition}\n</code></pre> quick_sort.cs<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nint medianThree(int[] nums, int left, int mid, int right)\n{\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) ^ (nums[left] &lt; nums[right]))\nreturn left;\nelse if ((nums[mid] &lt; nums[left]) ^ (nums[mid] &lt; nums[right]))\nreturn mid;\nelse\nreturn right;\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nint partition(int[] nums, int left, int right)\n{\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nint med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nint i = left, j = right;\nwhile (i &lt; j)\n{\nwhile (i &lt; j &amp;&amp; nums[j] &gt;= nums[left])\nj--;          // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j &amp;&amp; nums[i] &lt;= nums[left])\ni++;          // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j); // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);  // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;             // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre> quick_sort.swift<pre><code>/* \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570 */\nfunc medianThree(nums: [Int], left: Int, mid: Int, right: Int) -&gt; Int {\nif (nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right]) {\nreturn left\n} else if (nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right]) {\nreturn mid\n} else {\nreturn right\n}\n}\n/* \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09 */\nfunc partitionMedian(nums: inout [Int], left: Int, right: Int) -&gt; Int {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nlet med = medianThree(nums: nums, left: left, mid: (left + right) / 2, right: right)\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums: &amp;nums, i: left, j: med)\nreturn partition(nums: &amp;nums, left: left, right: right)\n}\n</code></pre> quick_sort.zig<pre><code>// \u9009\u53d6\u4e09\u4e2a\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nfn medianThree(nums: []i32, left: usize, mid: usize, right: usize) usize {\n// \u4f7f\u7528\u4e86\u5f02\u6216\u64cd\u4f5c\u6765\u7b80\u5316\u4ee3\u7801\n// \u5f02\u6216\u89c4\u5219\u4e3a 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1\nif ((nums[left] &lt; nums[mid]) != (nums[left] &lt; nums[right])) {\nreturn left;\n} else if ((nums[mid] &lt; nums[left]) != (nums[mid] &lt; nums[right])) {\nreturn mid;\n} else {\nreturn right;\n}\n}\n// \u54e8\u5175\u5212\u5206\uff08\u4e09\u6570\u53d6\u4e2d\u503c\uff09\nfn partition(nums: []i32, left: usize, right: usize) usize {\n// \u9009\u53d6\u4e09\u4e2a\u5019\u9009\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\nvar med = medianThree(nums, left, (left + right) / 2, right);\n// \u5c06\u4e2d\u4f4d\u6570\u4ea4\u6362\u81f3\u6570\u7ec4\u6700\u5de6\u7aef\nswap(nums, left, med);\n// \u4ee5 nums[left] \u4f5c\u4e3a\u57fa\u51c6\u6570\nvar i = left;\nvar j = right;\nwhile (i &lt; j) {\nwhile (i &lt; j and nums[j] &gt;= nums[left]) j -= 1; // \u4ece\u53f3\u5411\u5de6\u627e\u9996\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nwhile (i &lt; j and nums[i] &lt;= nums[left]) i += 1; // \u4ece\u5de6\u5411\u53f3\u627e\u9996\u4e2a\u5927\u4e8e\u57fa\u51c6\u6570\u7684\u5143\u7d20\nswap(nums, i, j);   // \u4ea4\u6362\u8fd9\u4e24\u4e2a\u5143\u7d20\n}\nswap(nums, i, left);    // \u5c06\u57fa\u51c6\u6570\u4ea4\u6362\u81f3\u4e24\u5b50\u6570\u7ec4\u7684\u5206\u754c\u7ebf\nreturn i;               // \u8fd4\u56de\u57fa\u51c6\u6570\u7684\u7d22\u5f15\n}\n</code></pre>"},{"location":"chapter_sorting/quick_sort/#1145","title":"11.4.5. \u5c3e\u9012\u5f52\u4f18\u5316","text":"<p>\u666e\u901a\u5feb\u901f\u6392\u5e8f\u5728\u67d0\u4e9b\u8f93\u5165\u4e0b\u7684\u7a7a\u95f4\u6548\u7387\u53d8\u5dee\u3002\u4ecd\u7136\u4ee5\u5b8c\u5168\u5012\u5e8f\u7684\u8f93\u5165\u6570\u7ec4\u4e3a\u4f8b\uff0c\u7531\u4e8e\u6bcf\u8f6e\u54e8\u5175\u5212\u5206\u540e\u53f3\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 0 \uff0c\u90a3\u4e48\u5c06\u5f62\u6210\u4e00\u4e2a\u9ad8\u5ea6\u4e3a \\(n - 1\\) \u7684\u9012\u5f52\u6811\uff0c\u6b64\u65f6\u4f7f\u7528\u7684\u6808\u5e27\u7a7a\u95f4\u5927\u5c0f\u52a3\u5316\u81f3 \\(O(n)\\) \u3002</p> <p>\u4e3a\u4e86\u907f\u514d\u6808\u5e27\u7a7a\u95f4\u7684\u7d2f\u79ef\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u6bcf\u8f6e\u54e8\u5175\u6392\u5e8f\u5b8c\u6210\u540e\uff0c\u5224\u65ad\u4e24\u4e2a\u5b50\u6570\u7ec4\u7684\u957f\u5ea6\u5927\u5c0f\uff0c\u4ec5\u9012\u5f52\u6392\u5e8f\u8f83\u77ed\u7684\u5b50\u6570\u7ec4\u3002\u7531\u4e8e\u8f83\u77ed\u7684\u5b50\u6570\u7ec4\u957f\u5ea6\u4e0d\u4f1a\u8d85\u8fc7 \\(\\frac{n}{2}\\) \uff0c\u56e0\u6b64\u8fd9\u6837\u505a\u80fd\u4fdd\u8bc1\u9012\u5f52\u6df1\u5ea6\u4e0d\u8d85\u8fc7 \\(\\log n\\) \uff0c\u5373\u6700\u5dee\u7a7a\u95f4\u590d\u6742\u5ea6\u88ab\u4f18\u5316\u81f3 \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig quick_sort.java<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(int[] nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.cpp<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(vector&lt;int&gt;&amp; nums, int left, int right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.py<pre><code>\"\"\" \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 \"\"\"\ndef quick_sort(self, nums, left, right):\n# \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile left &lt; right:\n# \u54e8\u5175\u5212\u5206\u64cd\u4f5c\npivot = self.partition(nums, left, right)\n# \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif pivot - left &lt; right - pivot:\nself.quick_sort(nums, left, pivot - 1)  # \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1     # \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\nelse:\nself.quick_sort(nums, pivot + 1, right)  # \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1    # \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n</code></pre> quick_sort.go<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09*/\nfunc (q *quickSortTailCall) quickSort(nums []int, left, right int) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nfor left &lt; right {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\npivot := q.partition(nums, left, right)\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif pivot-left &lt; right-pivot {\nq.quickSort(nums, left, pivot-1) // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1                 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nq.quickSort(nums, pivot+1, right) // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1                 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.js<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nquickSort(nums, left, right) {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = this.partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nthis.quickSort(nums, left, pivot - 1); // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nthis.quickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.ts<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nquickSort(nums: number[], left: number, right: number): void {\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = this.partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nthis.quickSort(nums, left, pivot - 1); // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nthis.quickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.c<pre><code>[class]{quickSortTailCall}-[func]{quickSort}\n</code></pre> quick_sort.cs<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nvoid quickSort(int[] nums, int left, int right)\n{\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile (left &lt; right)\n{\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nint pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot)\n{\nquickSort(nums, left, pivot - 1);  // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n}\nelse\n{\nquickSort(nums, pivot + 1, right); // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1; // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.swift<pre><code>/* \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09 */\nfunc quickSortTailCall(nums: inout [Int], left: Int, right: Int) {\nvar left = left\nvar right = right\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\nwhile left &lt; right {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nlet pivot = partition(nums: &amp;nums, left: left, right: right)\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left) &lt; (right - pivot) {\nquickSortTailCall(nums: &amp;nums, left: left, right: pivot - 1) // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSortTailCall(nums: &amp;nums, left: pivot + 1, right: right) // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1 // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre> quick_sort.zig<pre><code>// \u5feb\u901f\u6392\u5e8f\uff08\u5c3e\u9012\u5f52\u4f18\u5316\uff09\nfn quickSort(nums: []i32, left_: usize, right_: usize) void {\nvar left = left_;\nvar right = right_;\n// \u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 1 \u65f6\u7ec8\u6b62\u9012\u5f52\nwhile (left &lt; right) {\n// \u54e8\u5175\u5212\u5206\u64cd\u4f5c\nvar pivot = partition(nums, left, right);\n// \u5bf9\u4e24\u4e2a\u5b50\u6570\u7ec4\u4e2d\u8f83\u77ed\u7684\u90a3\u4e2a\u6267\u884c\u5feb\u6392\nif (pivot - left &lt; right - pivot) {\nquickSort(nums, left, pivot - 1);   // \u9012\u5f52\u6392\u5e8f\u5de6\u5b50\u6570\u7ec4\nleft = pivot + 1;                   // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [pivot + 1, right]\n} else {\nquickSort(nums, pivot + 1, right);  // \u9012\u5f52\u6392\u5e8f\u53f3\u5b50\u6570\u7ec4\nright = pivot - 1;                  // \u5269\u4f59\u5f85\u6392\u5e8f\u533a\u95f4\u4e3a [left, pivot - 1]\n}\n}\n}\n</code></pre>"},{"location":"chapter_sorting/summary/","title":"11.6. \u5c0f\u7ed3","text":""},{"location":"chapter_stack_and_queue/deque/","title":"5.3. \u53cc\u5411\u961f\u5217","text":"<p>\u5bf9\u4e8e\u961f\u5217\uff0c\u6211\u4eec\u53ea\u80fd\u5728\u5934\u90e8\u5220\u9664\u6216\u5728\u5c3e\u90e8\u6dfb\u52a0\u5143\u7d20\uff0c\u800c\u300c\u53cc\u5411\u961f\u5217 Deque\u300d\u66f4\u52a0\u7075\u6d3b\uff0c\u5728\u5176\u5934\u90e8\u548c\u5c3e\u90e8\u90fd\u80fd\u6267\u884c\u5143\u7d20\u6dfb\u52a0\u6216\u5220\u9664\u64cd\u4f5c\u3002</p> <p></p> <p> Fig. \u53cc\u5411\u961f\u5217\u7684\u64cd\u4f5c </p>"},{"location":"chapter_stack_and_queue/deque/#531","title":"5.3.1. \u53cc\u5411\u961f\u5217\u5e38\u7528\u64cd\u4f5c","text":"<p>\u53cc\u5411\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff0c\u65b9\u6cd5\u540d\u9700\u6839\u636e\u7279\u5b9a\u8bed\u8a00\u6765\u786e\u5b9a\u3002</p> <p> Table. \u53cc\u5411\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5\u540d \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 pushFirst() \u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u9996 \\(O(1)\\) pushLast() \u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u5c3e \\(O(1)\\) pollFirst() \u5220\u9664\u961f\u9996\u5143\u7d20 \\(O(1)\\) pollLast() \u5220\u9664\u961f\u5c3e\u5143\u7d20 \\(O(1)\\) peekFirst() \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \\(O(1)\\) peekLast() \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u76f8\u540c\u5730\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u53cc\u5411\u961f\u5217\u7c7b\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig deque.java<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\nDeque&lt;Integer&gt; deque = new LinkedList&lt;&gt;();\n/* \u5143\u7d20\u5165\u961f */\ndeque.offerLast(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.offerLast(5);\ndeque.offerLast(4);\ndeque.offerFirst(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.offerFirst(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint peekFirst = deque.peekFirst();  // \u961f\u9996\u5143\u7d20\nint peekLast = deque.peekLast();    // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\nint pollFirst = deque.pollFirst();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\nint pollLast = deque.pollLast();    // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.size();\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = deque.isEmpty();\n</code></pre> deque.cpp<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\ndeque&lt;int&gt; deque;\n/* \u5143\u7d20\u5165\u961f */\ndeque.push_back(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.push_back(5);\ndeque.push_back(4);\ndeque.push_front(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.push_front(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint front = deque.front(); // \u961f\u9996\u5143\u7d20\nint back = deque.back();   // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.pop_front();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.pop_back();   // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.size();\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty = deque.empty();\n</code></pre> deque.py<pre><code>\"\"\" \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 \"\"\"\nduque = deque()\n\"\"\" \u5143\u7d20\u5165\u961f \"\"\"\nduque.append(2)      # \u6dfb\u52a0\u81f3\u961f\u5c3e\nduque.append(5)\nduque.append(4)\nduque.appendleft(3)  # \u6dfb\u52a0\u81f3\u961f\u9996\nduque.appendleft(1)\n\"\"\" \u8bbf\u95ee\u5143\u7d20 \"\"\"\nfront = duque[0]  # \u961f\u9996\u5143\u7d20\nrear = duque[-1]  # \u961f\u5c3e\u5143\u7d20\n\"\"\" \u5143\u7d20\u51fa\u961f \"\"\"\npop_front = duque.popleft()  # \u961f\u9996\u5143\u7d20\u51fa\u961f\npop_rear = duque.pop()       # \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n\"\"\" \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\nsize = len(duque)\n\"\"\" \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(duque) == 0\n</code></pre> deque_test.go<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// \u5728 Go \u4e2d\uff0c\u5c06 list \u4f5c\u4e3a\u53cc\u5411\u961f\u5217\u4f7f\u7528\ndeque := list.New()\n/* \u5143\u7d20\u5165\u961f */\ndeque.PushBack(2)      // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.PushBack(5)\ndeque.PushBack(4)\ndeque.PushFront(3)     // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.PushFront(1)\n/* \u8bbf\u95ee\u5143\u7d20 */\nfront := deque.Front() // \u961f\u9996\u5143\u7d20\nrear := deque.Back()   // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.Remove(front)    // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.Remove(rear)     // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize := deque.Len()\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty := deque.Len() == 0\n</code></pre> deque.js<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// JavaScript \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u7aef\u961f\u5217\uff0c\u53ea\u80fd\u628a Array \u5f53\u4f5c\u53cc\u7aef\u961f\u5217\u6765\u4f7f\u7528\nconst deque = [];\n/* \u5143\u7d20\u5165\u961f */\ndeque.push(2);\ndeque.push(5);\ndeque.push(4);\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cunshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\ndeque.unshift(3);\ndeque.unshift(1);\nconsole.log(\"\u53cc\u5411\u961f\u5217 deque = \", deque);\n/* \u8bbf\u95ee\u5143\u7d20 */\nconst peekFirst = deque[0];\nconsole.log(\"\u961f\u9996\u5143\u7d20 peekFirst = \" + peekFirst);\nconst peekLast = deque[deque.length - 1];\nconsole.log(\"\u961f\u5c3e\u5143\u7d20 peekLast = \" + peekLast);\n/* \u5143\u7d20\u51fa\u961f */\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst popFront = deque.shift();\nconsole.log(\"\u961f\u9996\u51fa\u961f\u5143\u7d20 popFront = \" + popFront + \"\uff0c\u961f\u9996\u51fa\u961f\u540e deque = \" + deque);\nconst popBack = deque.pop();\nconsole.log(\"\u961f\u5c3e\u51fa\u961f\u5143\u7d20 popBack = \" + popBack + \"\uff0c\u961f\u5c3e\u51fa\u961f\u540e deque = \" + deque);\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = deque.length;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u957f\u5ea6 size = \" + size);\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst isEmpty = size === 0;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a = \" + isEmpty);\n</code></pre> deque.ts<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// TypeScript \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u7aef\u961f\u5217\uff0c\u53ea\u80fd\u628a Array \u5f53\u4f5c\u53cc\u7aef\u961f\u5217\u6765\u4f7f\u7528\nconst deque: number[] = [];\n/* \u5143\u7d20\u5165\u961f */\ndeque.push(2);\ndeque.push(5);\ndeque.push(4);\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cunshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\ndeque.unshift(3);\ndeque.unshift(1);\nconsole.log(\"\u53cc\u5411\u961f\u5217 deque = \", deque);\n/* \u8bbf\u95ee\u5143\u7d20 */\nconst peekFirst: number = deque[0];\nconsole.log(\"\u961f\u9996\u5143\u7d20 peekFirst = \" + peekFirst);\nconst peekLast: number = deque[deque.length - 1];\nconsole.log(\"\u961f\u5c3e\u5143\u7d20 peekLast = \" + peekLast);\n/* \u5143\u7d20\u51fa\u961f */\n// \u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e\u662f\u6570\u7ec4\uff0cshift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst popFront: number = deque.shift() as number;\nconsole.log(\"\u961f\u9996\u51fa\u961f\u5143\u7d20 popFront = \" + popFront + \"\uff0c\u961f\u9996\u51fa\u961f\u540e deque = \" + deque);\nconst popBack: number = deque.pop() as number;\nconsole.log(\"\u961f\u5c3e\u51fa\u961f\u5143\u7d20 popBack = \" + popBack + \"\uff0c\u961f\u5c3e\u51fa\u961f\u540e deque = \" + deque);\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nconst size: number = deque.length;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u957f\u5ea6 size = \" + size);\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst isEmpty: boolean = size === 0;\nconsole.log(\"\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a = \" + isEmpty);\n</code></pre> deque.c<pre><code>\n</code></pre> deque.cs<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// \u5728 C# \u4e2d\uff0c\u5c06\u94fe\u8868 LinkedList \u770b\u4f5c\u53cc\u5411\u961f\u5217\u6765\u4f7f\u7528\nLinkedList&lt;int&gt; deque = new LinkedList&lt;int&gt;();\n/* \u5143\u7d20\u5165\u961f */\ndeque.AddLast(2);   // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.AddLast(5);\ndeque.AddLast(4);\ndeque.AddFirst(3);  // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.AddFirst(1);\n/* \u8bbf\u95ee\u5143\u7d20 */\nint peekFirst = deque.First.Value;  // \u961f\u9996\u5143\u7d20\nint peekLast = deque.Last.Value;    // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\ndeque.RemoveFirst();  // \u961f\u9996\u5143\u7d20\u51fa\u961f\ndeque.RemoveLast();   // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nint size = deque.Count;\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = deque.Count == 0;\n</code></pre> deque.swift<pre><code>/* \u521d\u59cb\u5316\u53cc\u5411\u961f\u5217 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u53cc\u5411\u961f\u5217\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u53cc\u5411\u961f\u5217\u6765\u4f7f\u7528\nvar deque: [Int] = []\n/* \u5143\u7d20\u5165\u961f */\ndeque.append(2) // \u6dfb\u52a0\u81f3\u961f\u5c3e\ndeque.append(5)\ndeque.append(4)\ndeque.insert(3, at: 0) // \u6dfb\u52a0\u81f3\u961f\u9996\ndeque.insert(1, at: 0)\n/* \u8bbf\u95ee\u5143\u7d20 */\nlet peekFirst = deque.first! // \u961f\u9996\u5143\u7d20\nlet peekLast = deque.last! // \u961f\u5c3e\u5143\u7d20\n/* \u5143\u7d20\u51fa\u961f */\n// \u4f7f\u7528 Array \u6a21\u62df\u65f6 pollFirst \u7684\u590d\u6742\u5ea6\u4e3a O(n)\nlet pollFirst = deque.removeFirst() // \u961f\u9996\u5143\u7d20\u51fa\u961f\nlet pollLast = deque.removeLast() // \u961f\u5c3e\u5143\u7d20\u51fa\u961f\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nlet size = deque.count\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = deque.isEmpty\n</code></pre> deque.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/deque/#532","title":"5.3.2. \u53cc\u5411\u961f\u5217\u5b9e\u73b0 *","text":"<p>\u4e0e\u961f\u5217\u7c7b\u4f3c\uff0c\u53cc\u5411\u961f\u5217\u540c\u6837\u53ef\u4ee5\u4f7f\u7528\u94fe\u8868\u6216\u6570\u7ec4\u6765\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/deque/#_1","title":"\u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u56de\u5fc6\u4e0a\u8282\u5185\u5bb9\uff0c\u7531\u4e8e\u53ef\u4ee5\u65b9\u4fbf\u5730\u5220\u9664\u94fe\u8868\u5934\u7ed3\u70b9\uff08\u5bf9\u5e94\u51fa\u961f\u64cd\u4f5c\uff09\uff0c\u4ee5\u53ca\u5728\u94fe\u8868\u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0\u65b0\u7ed3\u70b9\uff08\u5bf9\u5e94\u5165\u961f\u64cd\u4f5c\uff09\uff0c\u56e0\u6b64\u6211\u4eec\u4f7f\u7528\u666e\u901a\u5355\u5411\u94fe\u8868\u6765\u5b9e\u73b0\u961f\u5217\u3002</p> <p>\u800c\u53cc\u5411\u961f\u5217\u7684\u5934\u90e8\u548c\u5c3e\u90e8\u90fd\u53ef\u4ee5\u6267\u884c\u5165\u961f\u4e0e\u51fa\u961f\u64cd\u4f5c\uff0c\u6362\u8a00\u4e4b\uff0c\u53cc\u5411\u961f\u5217\u7684\u64cd\u4f5c\u662f\u201c\u9996\u5c3e\u5bf9\u79f0\u201d\u7684\uff0c\u4e5f\u9700\u8981\u5b9e\u73b0\u53e6\u4e00\u4e2a\u5bf9\u79f0\u65b9\u5411\u7684\u64cd\u4f5c\u3002\u56e0\u6b64\uff0c\u53cc\u5411\u961f\u5217\u9700\u8981\u4f7f\u7528\u300c\u53cc\u5411\u94fe\u8868\u300d\u6765\u5b9e\u73b0\u3002</p> <p>\u6211\u4eec\u5c06\u53cc\u5411\u94fe\u8868\u7684\u5934\u7ed3\u70b9\u548c\u5c3e\u7ed3\u70b9\u5206\u522b\u770b\u4f5c\u53cc\u5411\u961f\u5217\u7684\u961f\u9996\u548c\u961f\u5c3e\uff0c\u5e76\u4e14\u5b9e\u73b0\u5728\u4e24\u7aef\u90fd\u80fd\u6dfb\u52a0\u4e0e\u5220\u9664\u7ed3\u70b9\u3002</p> LinkedListDequepushLast()pushFirst()pollLast()pollFirst() <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u5177\u4f53\u5b9e\u73b0\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_deque.java<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nint val;       // \u7ed3\u70b9\u503c\nListNode next; // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528\uff08\u6307\u9488\uff09\nListNode prev; // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528\uff08\u6307\u9488\uff09\nListNode(int val) {\nthis.val = val;\nprev = next = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nprivate ListNode front, rear; // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear\nprivate int size = 0;         // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\npublic LinkedListDeque() {\nfront = rear = null;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn size;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u961f\u64cd\u4f5c */\nprivate void push(int num, boolean isFront) {\nListNode node = new ListNode(num);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (isEmpty())\nfront = rear = node;\n// \u961f\u9996\u5165\u961f\u64cd\u4f5c\nelse if (isFront) {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nfront.prev = node;\nnode.next = front;\nfront = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n// \u961f\u5c3e\u5165\u961f\u64cd\u4f5c\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nrear.next = node;\nnode.prev = rear;\nrear = node;  // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nsize++; // \u66f4\u65b0\u961f\u5217\u957f\u5ea6\n}\n/* \u961f\u9996\u5165\u961f */\npublic void pushFirst(int num) {\npush(num, true);\n}\n/* \u961f\u5c3e\u5165\u961f */\npublic void pushLast(int num) {\npush(num, false);\n}\n/* \u51fa\u961f\u64cd\u4f5c */\nprivate Integer poll(boolean isFront) {\n// \u82e5\u961f\u5217\u4e3a\u7a7a\uff0c\u76f4\u63a5\u8fd4\u56de null\nif (isEmpty())\nreturn null;\nint val;\n// \u961f\u9996\u51fa\u961f\u64cd\u4f5c\nif (isFront) {\nval = front.val; // \u6682\u5b58\u5934\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nListNode fNext = front.next;\nif (fNext != null) {\nfNext.prev = null;\nfront.next = null;\n}\nfront = fNext;   // \u66f4\u65b0\u5934\u7ed3\u70b9\n// \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c\n} else {\nval = rear.val;  // \u6682\u5b58\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nListNode rPrev = rear.prev;\nif (rPrev != null) {\nrPrev.next = null;\nrear.prev = null;\n}\nrear = rPrev;    // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nsize--; // \u66f4\u65b0\u961f\u5217\u957f\u5ea6\nreturn val;\n}\n/* \u961f\u9996\u51fa\u961f */\npublic Integer pollFirst() {\nreturn poll(true);\n}\n/* \u961f\u5c3e\u51fa\u961f */\npublic Integer pollLast() {\nreturn poll(false);\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic Integer peekFirst() {\nreturn isEmpty() ? null : front.val;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npublic Integer peekLast() {\nreturn isEmpty() ? null : rear.val;\n}\n/* \u8fd4\u56de\u6570\u7ec4\u7528\u4e8e\u6253\u5370 */\npublic int[] toArray() {\nListNode node = front;\nint[] res = new int[size()];\nfor (int i = 0; i &lt; res.length; i++) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_deque.cpp<pre><code>\n</code></pre> linkedlist_deque.py<pre><code>\n</code></pre> linkedlist_deque.go<pre><code>\n</code></pre> linkedlist_deque.js<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nprev;   // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nnext;   // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nval;    // \u7ed3\u70b9\u503c\nconstructor(val) {\nthis.val = val;\nthis.next = null;\nthis.prev = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nfront;  // \u5934\u7ed3\u70b9 front\nrear;   // \u5c3e\u7ed3\u70b9 rear\nlen;    // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\nconstructor() {\nthis.front = null;\nthis.rear = null;\nthis.len = 0;\n}\n/* \u961f\u5c3e\u5165\u961f\u64cd\u4f5c */\npushLast(val) {\nconst node = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nthis.rear.next = node;\nnode.prev = this.rear;\nthis.rear = node; // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u9996\u5165\u961f\u64cd\u4f5c */\npushFirst(val) {\nconst node = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nthis.front.prev = node;\nnode.next = this.front;\nthis.front = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c */\npollLast() {\nif (this.len === 0) {\nreturn null;\n}\nconst value = this.rear.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nlet temp = this.rear.prev;\nif (temp !== null) {\ntemp.next = null;\nthis.rear.prev = null;\n}\nthis.rear = temp;   // \u66f4\u65b0\u5c3e\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u961f\u9996\u51fa\u961f\u64cd\u4f5c */\npollFirst() {\nif (this.len === 0) {\nreturn null;\n}\nconst value = this.front.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nlet temp = this.front.next;\nif (temp !== null) {\ntemp.prev = null;\nthis.front.next = null;\n}\nthis.front = temp;   // \u66f4\u65b0\u5934\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npeekLast() {\nreturn this.len === 0 ? null : this.rear.val;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeekFirst() {\nreturn this.len === 0 ? null : this.front.val;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize() {\nreturn this.len;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.len === 0;\n}\n/* \u6253\u5370\u53cc\u5411\u961f\u5217 */\nprint() {\nconst arr = [];\nlet temp = this.front;\nwhile (temp !== null) {\narr.push(temp.val);\ntemp = temp.next;\n}\nconsole.log(\"[\" + arr.join(\", \") + \"]\");\n}\n}\n</code></pre> linkedlist_deque.ts<pre><code>/* \u53cc\u5411\u94fe\u8868\u7ed3\u70b9 */\nclass ListNode {\nprev: ListNode;     // \u524d\u9a71\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nnext: ListNode;     // \u540e\u7ee7\u7ed3\u70b9\u5f15\u7528 (\u6307\u9488)\nval: number;        // \u7ed3\u70b9\u503c\nconstructor(val: number) {\nthis.val = val;\nthis.next = null;\nthis.prev = null;\n}\n}\n/* \u57fa\u4e8e\u53cc\u5411\u94fe\u8868\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass LinkedListDeque {\nfront: ListNode;    // \u5934\u7ed3\u70b9 front\nrear: ListNode;     // \u5c3e\u7ed3\u70b9 rear\nlen: number;        // \u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6\nconstructor() {\nthis.front = null;\nthis.rear = null;\nthis.len = 0;\n}\n/* \u961f\u5c3e\u5165\u961f\u64cd\u4f5c */\npushLast(val: number): void {\nconst node: ListNode = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5c3e\u90e8\nthis.rear.next = node;\nnode.prev = this.rear;\nthis.rear = node; // \u66f4\u65b0\u5c3e\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u9996\u5165\u961f\u64cd\u4f5c */\npushFirst(val: number): void {\nconst node: ListNode = new ListNode(val);\n// \u82e5\u94fe\u8868\u4e3a\u7a7a\uff0c\u5219\u4ee4 front, rear \u90fd\u6307\u5411 node\nif (this.len === 0) {\nthis.front = node;\nthis.rear = node;\n} else {\n// \u5c06 node \u6dfb\u52a0\u81f3\u94fe\u8868\u5934\u90e8\nthis.front.prev = node;\nnode.next = this.front;\nthis.front = node; // \u66f4\u65b0\u5934\u7ed3\u70b9\n}\nthis.len++;\n}\n/* \u961f\u5c3e\u51fa\u961f\u64cd\u4f5c */\npollLast(): number {\nif (this.len === 0) {\nreturn null;\n}\nconst value: number = this.rear.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5c3e\u7ed3\u70b9\nlet temp: ListNode = this.rear.prev;\nif (temp !== null) {\ntemp.next = null;\nthis.rear.prev = null;\n}\nthis.rear = temp;   // \u66f4\u65b0\u5c3e\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u961f\u9996\u51fa\u961f\u64cd\u4f5c */\npollFirst(): number {\nif (this.len === 0) {\nreturn null;\n}\nconst value: number = this.front.val; // \u5b58\u50a8\u5c3e\u7ed3\u70b9\u503c\n// \u5220\u9664\u5934\u7ed3\u70b9\nlet temp: ListNode = this.front.next;\nif (temp !== null) {\ntemp.prev = null;\nthis.front.next = null;\n}\nthis.front = temp;   // \u66f4\u65b0\u5934\u7ed3\u70b9\nthis.len--;\nreturn value;\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npeekLast(): number {\nreturn this.len === 0 ? null : this.rear.val;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeekFirst(): number {\nreturn this.len === 0 ? null : this.front.val;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\nsize(): number {\nreturn this.len;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.len === 0;\n}\n/* \u6253\u5370\u53cc\u5411\u961f\u5217 */\nprint(): void {\nconst arr: number[] = [];\nlet temp: ListNode = this.front;\nwhile (temp !== null) {\narr.push(temp.val);\ntemp = temp.next;\n}\nconsole.log(\"[\" + arr.join(\", \") + \"]\");\n}\n}\n</code></pre> linkedlist_deque.c<pre><code>\n</code></pre> linkedlist_deque.cs<pre><code>[class]{ListNode}-[func]{}\n[class]{LinkedListDeque}-[func]{}\n</code></pre> linkedlist_deque.swift<pre><code>\n</code></pre> linkedlist_deque.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/deque/#_2","title":"\u57fa\u4e8e\u6570\u7ec4\u7684\u5b9e\u73b0","text":"<p>\u4e0e\u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u961f\u5217\u7c7b\u4f3c\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u4f7f\u7528\u73af\u5f62\u6570\u7ec4\u6765\u5b9e\u73b0\u53cc\u5411\u961f\u5217\u3002\u5728\u5b9e\u73b0\u961f\u5217\u7684\u57fa\u7840\u4e0a\uff0c\u589e\u52a0\u5b9e\u73b0\u201c\u961f\u9996\u5165\u961f\u201d\u548c\u201c\u961f\u5c3e\u51fa\u961f\u201d\u65b9\u6cd5\u5373\u53ef\u3002</p> ArrayDequepushLast()pushFirst()pollLast()pollFirst() <p></p> <p></p> <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u5177\u4f53\u5b9e\u73b0\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_deque.java<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u53cc\u5411\u961f\u5217 */\nclass ArrayDeque {\nprivate int[] nums;  // \u7528\u4e8e\u5b58\u50a8\u53cc\u5411\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate int front;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate int queSize; // \u53cc\u5411\u961f\u5217\u957f\u5ea6\n/* \u6784\u9020\u65b9\u6cd5 */\npublic ArrayDeque(int capacity) {\nthis.nums = new int[capacity];\nfront = queSize = 0;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u5bb9\u91cf */\npublic int capacity() {\nreturn nums.length;\n}\n/* \u83b7\u53d6\u53cc\u5411\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u53cc\u5411\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn queSize == 0;\n}\n/* \u8ba1\u7b97\u73af\u5f62\u6570\u7ec4\u7d22\u5f15 */\nprivate int index(int i) {\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\u5b9e\u73b0\u6570\u7ec4\u9996\u5c3e\u76f8\u8fde\n// \u5f53 i \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\uff0c\u56de\u5230\u5934\u90e8\n// \u5f53 i \u8d8a\u8fc7\u6570\u7ec4\u5934\u90e8\u540e\uff0c\u56de\u5230\u5c3e\u90e8\nreturn (i + capacity()) % capacity();\n}\n/* \u961f\u9996\u5165\u961f */\npublic void pushFirst(int num) {\nif (queSize == capacity()) {\nSystem.out.println(\"\u53cc\u5411\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u961f\u9996\u6307\u9488\u5411\u5de6\u79fb\u52a8\u4e00\u4f4d\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 front \u8d8a\u8fc7\u6570\u7ec4\u5934\u90e8\u540e\u56de\u5230\u5c3e\u90e8\nfront = index(front - 1);\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u9996\nnums[front] = num;\nqueSize++;\n}\n/* \u961f\u5c3e\u5165\u961f */\npublic void pushLast(int num) {\nif (queSize == capacity()) {\nSystem.out.println(\"\u53cc\u5411\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\nint rear = index(front + queSize);\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nnums[rear] = num;\nqueSize++;\n}\n/* \u961f\u9996\u51fa\u961f */\npublic int pollFirst() {\nint num = peekFirst();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\nfront = index(front + 1);\nqueSize--;\nreturn num;\n}\n/* \u961f\u5c3e\u51fa\u961f */\npublic int pollLast() {\nint num = peekLast();\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peekFirst() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn nums[front];\n}\n/* \u8bbf\u95ee\u961f\u5c3e\u5143\u7d20 */\npublic int peekLast() {\nif (isEmpty())\nthrow new EmptyStackException();\n// \u8ba1\u7b97\u5c3e\u5143\u7d20\u7d22\u5f15\nint last = index(front + queSize - 1);\nreturn nums[last];\n}\n/* \u8fd4\u56de\u6570\u7ec4\u7528\u4e8e\u6253\u5370 */\npublic int[] toArray() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] res = new int[queSize];\nfor (int i = 0, j = front; i &lt; queSize; i++, j++) {\nres[i] = nums[index(j)];\n}\nreturn res;\n}\n}\n</code></pre> array_deque.cpp<pre><code>\n</code></pre> array_deque.py<pre><code>\n</code></pre> array_deque.go<pre><code>\n</code></pre> array_deque.js<pre><code>\n</code></pre> array_deque.ts<pre><code>\n</code></pre> array_deque.c<pre><code>\n</code></pre> array_deque.cs<pre><code>\n</code></pre> array_deque.swift<pre><code>\n</code></pre> array_deque.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/","title":"5.2. \u961f\u5217","text":"<p>\u300c\u961f\u5217 Queue\u300d\u662f\u4e00\u79cd\u9075\u5faa\u300c\u5148\u5165\u5148\u51fa first in, first out\u300d\u6570\u636e\u64cd\u4f5c\u89c4\u5219\u7684\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002\u987e\u540d\u601d\u4e49\uff0c\u961f\u5217\u6a21\u62df\u7684\u662f\u6392\u961f\u73b0\u8c61\uff0c\u5373\u5916\u9762\u7684\u4eba\u4e0d\u65ad\u52a0\u5165\u961f\u5217\u5c3e\u90e8\uff0c\u800c\u5904\u4e8e\u961f\u5217\u5934\u90e8\u7684\u4eba\u4e0d\u65ad\u5730\u79bb\u5f00\u3002</p> <p>\u6211\u4eec\u5c06\u961f\u5217\u5934\u90e8\u79f0\u4e3a\u300c\u961f\u9996\u300d\uff0c\u961f\u5217\u5c3e\u90e8\u79f0\u4e3a\u300c\u961f\u5c3e\u300d\uff0c\u5c06\u628a\u5143\u7d20\u52a0\u5165\u961f\u5c3e\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u5165\u961f\u300d\uff0c\u5220\u9664\u961f\u9996\u5143\u7d20\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u51fa\u961f\u300d\u3002</p> <p></p> <p> Fig. \u961f\u5217\u7684\u5148\u5165\u5148\u51fa\u7279\u6027 </p>"},{"location":"chapter_stack_and_queue/queue/#521","title":"5.2.1. \u961f\u5217\u5e38\u7528\u64cd\u4f5c","text":"<p>\u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff0c\u65b9\u6cd5\u540d\u9700\u6839\u636e\u7279\u5b9a\u8bed\u8a00\u6765\u786e\u5b9a\u3002</p> <p> Table. \u961f\u5217\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5\u540d \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 push() \u5143\u7d20\u5165\u961f\uff0c\u5373\u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u961f\u5c3e \\(O(1)\\) poll() \u961f\u9996\u5143\u7d20\u51fa\u961f \\(O(1)\\) front() \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u961f\u5217\u7c7b\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig queue.java<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nQueue&lt;Integer&gt; queue = new LinkedList&lt;&gt;();\n/* \u5143\u7d20\u5165\u961f */\nqueue.offer(1);\nqueue.offer(3);\nqueue.offer(2);\nqueue.offer(5);\nqueue.offer(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek = queue.peek();\n/* \u5143\u7d20\u51fa\u961f */\nint poll = queue.poll();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.size();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = queue.isEmpty();\n</code></pre> queue.cpp<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nqueue&lt;int&gt; queue;\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint front = queue.front();\n/* \u5143\u7d20\u51fa\u961f */\nqueue.pop();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.size();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty = queue.empty();\n</code></pre> queue.py<pre><code>\"\"\" \u521d\u59cb\u5316\u961f\u5217 \"\"\"\n# \u5728 Python \u4e2d\uff0c\u6211\u4eec\u4e00\u822c\u5c06\u53cc\u5411\u961f\u5217\u7c7b deque \u770b\u4f5c\u961f\u5217\u4f7f\u7528\n# \u867d\u7136 queue.Queue() \u662f\u7eaf\u6b63\u7684\u961f\u5217\u7c7b\uff0c\u4f46\u4e0d\u592a\u597d\u7528\uff0c\u56e0\u6b64\u4e0d\u5efa\u8bae\nque = collections.deque()\n\"\"\" \u5143\u7d20\u5165\u961f \"\"\"\nque.append(1)\nque.append(3)\nque.append(2)\nque.append(5)\nque.append(4)\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\nfront = que[0];\n\"\"\" \u5143\u7d20\u51fa\u961f \"\"\"\npop = que.popleft()\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\nsize = len(que)\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(que) == 0\n</code></pre> queue_test.go<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// \u5728 Go \u4e2d\uff0c\u5c06 list \u4f5c\u4e3a\u961f\u5217\u6765\u4f7f\u7528\nqueue := list.New()\n/* \u5143\u7d20\u5165\u961f */\nqueue.PushBack(1)\nqueue.PushBack(3)\nqueue.PushBack(2)\nqueue.PushBack(5)\nqueue.PushBack(4)\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek := queue.Front()\n/* \u5143\u7d20\u51fa\u961f */\npoll := queue.Front()\nqueue.Remove(poll)\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nsize := queue.Len()\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty := queue.Len() == 0\n</code></pre> queue.js<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// JavaScript \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528\nconst queue = [];\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nconst peek = queue[0];\n/* \u5143\u7d20\u51fa\u961f */\n// \u5e95\u5c42\u662f\u6570\u7ec4\uff0c\u56e0\u6b64 shift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst poll = queue.shift();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = queue.length;\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst empty = queue.length === 0;\n</code></pre> queue.ts<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// TypeScript \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528 \nconst queue: number[] = [];\n/* \u5143\u7d20\u5165\u961f */\nqueue.push(1);\nqueue.push(3);\nqueue.push(2);\nqueue.push(5);\nqueue.push(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nconst peek = queue[0];\n/* \u5143\u7d20\u51fa\u961f */\n// \u5e95\u5c42\u662f\u6570\u7ec4\uff0c\u56e0\u6b64 shift() \u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\nconst poll = queue.shift();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nconst size = queue.length;\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nconst empty = queue.length === 0;\n</code></pre> queue.c<pre><code>\n</code></pre> queue.cs<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\nQueue&lt;int&gt; queue = new();\n/* \u5143\u7d20\u5165\u961f */\nqueue.Enqueue(1);\nqueue.Enqueue(3);\nqueue.Enqueue(2);\nqueue.Enqueue(5);\nqueue.Enqueue(4);\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek = queue.Peek();\n/* \u5143\u7d20\u51fa\u961f */\nint poll = queue.Dequeue();\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size = queue.Count();\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = queue.Count() == 0;\n</code></pre> queue.swift<pre><code>/* \u521d\u59cb\u5316\u961f\u5217 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u961f\u5217\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u961f\u5217\u6765\u4f7f\u7528\nvar queue: [Int] = []\n/* \u5143\u7d20\u5165\u961f */\nqueue.append(1)\nqueue.append(3)\nqueue.append(2)\nqueue.append(5)\nqueue.append(4)\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nlet peek = queue.first!\n/* \u5143\u7d20\u51fa\u961f */\n// \u4f7f\u7528 Array \u6a21\u62df\u65f6 poll \u7684\u590d\u6742\u5ea6\u4e3a O(n)\nlet pool = queue.removeFirst()\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nlet size = queue.count\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = queue.isEmpty\n</code></pre> queue.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/#522","title":"5.2.2. \u961f\u5217\u5b9e\u73b0","text":"<p>\u961f\u5217\u9700\u8981\u4e00\u79cd\u53ef\u4ee5\u5728\u4e00\u7aef\u6dfb\u52a0\uff0c\u5e76\u5728\u53e6\u4e00\u7aef\u5220\u9664\u7684\u6570\u636e\u7ed3\u6784\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u94fe\u8868\u6216\u6570\u7ec4\u6765\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#_1","title":"\u57fa\u4e8e\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u6211\u4eec\u5c06\u94fe\u8868\u7684\u300c\u5934\u7ed3\u70b9\u300d\u548c\u300c\u5c3e\u7ed3\u70b9\u300d\u5206\u522b\u770b\u4f5c\u662f\u961f\u9996\u548c\u961f\u5c3e\uff0c\u5e76\u89c4\u5b9a\u961f\u5c3e\u53ea\u53ef\u6dfb\u52a0\u7ed3\u70b9\uff0c\u961f\u9996\u53ea\u53ef\u5220\u9664\u7ed3\u70b9\u3002</p> LinkedListQueuepush()poll() <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u4f7f\u7528\u94fe\u8868\u5b9e\u73b0\u961f\u5217\u7684\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_queue.java<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate ListNode front, rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nprivate int queSize = 0;\npublic LinkedListQueue() {\nfront = null;\nrear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u961f */\npublic void push(int num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == null) {\nfront = node;\nrear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nrear.next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll() {\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front.next;\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek() {\nif (size() == 0)\nthrow new EmptyStackException();\nreturn front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray() {\nListNode node = front;\nint[] res = new int[size()];\nfor (int i = 0; i &lt; res.length; i++) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.cpp<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate:\nListNode *front, *rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nint queSize;\npublic:\nLinkedListQueue() {\nfront = nullptr;\nrear = nullptr;\nqueSize = 0;\n}\n~LinkedListQueue() {\ndelete front;\ndelete rear;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn queSize == 0;\n}\n/* \u5165\u961f */\nvoid push(int num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode* node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == nullptr) {\nfront = node;\nrear = node;\n}\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse {\nrear-&gt;next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\nvoid poll() {\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nListNode *tmp = front;\nfront = front-&gt;next;\n// \u91ca\u653e\u5185\u5b58\ndelete tmp; queSize--;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek() {\nif (size() == 0)\nthrow out_of_range(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn front-&gt;val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Vector \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\nListNode* node = front;\nvector&lt;int&gt; res(size());\nfor (int i = 0; i &lt; res.size(); i++) {\nres[i] = node-&gt;val;\nnode = node-&gt;next;\n}\nreturn res;\n}\n};\n</code></pre> linkedlist_queue.py<pre><code>\"\"\" \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 \"\"\"\nclass LinkedListQueue:\ndef __init__(self):\nself.__front = None  # \u5934\u7ed3\u70b9 front\nself.__rear = None   # \u5c3e\u7ed3\u70b9 rear\nself.__size = 0\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn not self.__front\n\"\"\" \u5165\u961f \"\"\"\ndef push(self, num):\n# \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nnode = ListNode(num)\n# \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif self.__front is None:\nself.__front = node\nself.__rear = node\n# \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse:\nself.__rear.next = node\nself.__rear = node\nself.__size += 1\n\"\"\" \u51fa\u961f \"\"\"\ndef poll(self):\nnum = self.peek()\n# \u5220\u9664\u5934\u7ed3\u70b9\nself.__front = self.__front.next\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\ndef peek(self):\nif self.size() == 0:\nprint(\"\u961f\u5217\u4e3a\u7a7a\")\nreturn False\nreturn self.__front.val\n\"\"\" \u8f6c\u5316\u4e3a\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nqueue = []\ntemp = self.__front\nwhile temp:\nqueue.append(temp.val)\ntemp = temp.next\nreturn queue\n</code></pre> linkedlist_queue.go<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\ntype linkedListQueue struct {\n// \u4f7f\u7528\u5185\u7f6e\u5305 list \u6765\u5b9e\u73b0\u961f\u5217\ndata *list.List\n}\n/* \u521d\u59cb\u5316\u961f\u5217 */\nfunc newLinkedListQueue() *linkedListQueue {\nreturn &amp;linkedListQueue{\ndata: list.New(),\n}\n}\n/* \u5165\u961f */\nfunc (s *linkedListQueue) push(value any) {\ns.data.PushBack(value)\n}\n/* \u51fa\u961f */\nfunc (s *linkedListQueue) poll() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Front()\ns.data.Remove(e)\nreturn e.Value\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc (s *linkedListQueue) peek() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Front()\nreturn e.Value\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc (s *linkedListQueue) size() int {\nreturn s.data.Len()\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc (s *linkedListQueue) isEmpty() bool {\nreturn s.data.Len() == 0\n}\n/* \u83b7\u53d6 List \u7528\u4e8e\u6253\u5370 */\nfunc (s *linkedListQueue) toList() *list.List {\nreturn s.data\n}\n</code></pre> linkedlist_queue.js<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\n#front;  // \u5934\u7ed3\u70b9 #front\n#rear;   // \u5c3e\u7ed3\u70b9 #rear\n#queSize = 0;\nconstructor() {\nthis.#front = null;\nthis.#rear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.size === 0;\n}\n/* \u5165\u961f */\npush(num) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nconst node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (!this.#front) {\nthis.#front = node;\nthis.#rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nthis.#rear.next = node;\nthis.#rear = node;\n}\nthis.#queSize++;\n}\n/* \u51fa\u961f */\npoll() {\nconst num = this.peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nthis.#front = this.#front.next;\nthis.#queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek() {\nif (this.size === 0)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.#front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray() {\nlet node = this.#front;\nconst res = new Array(this.size);\nfor (let i = 0; i &lt; res.length; i++) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.ts<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate front: ListNode | null; // \u5934\u7ed3\u70b9 front\nprivate rear: ListNode | null;  // \u5c3e\u7ed3\u70b9 rear\nprivate queSize: number = 0;\nconstructor() {\nthis.front = null;\nthis.rear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.size === 0;\n}\n/* \u5165\u961f */\npush(num: number): void {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nconst node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (!this.front) {\nthis.front = node;\nthis.rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nthis.rear!.next = node;\nthis.rear = node;\n}\nthis.queSize++;\n}\n/* \u51fa\u961f */\npoll(): number {\nconst num = this.peek();\nif (!this.front)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\")\n// \u5220\u9664\u5934\u7ed3\u70b9\nthis.front = this.front.next;\nthis.queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek(): number {\nif (this.size === 0)\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.front!.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray(): number[] {\nlet node = this.front;\nconst res = new Array&lt;number&gt;(this.size);\nfor (let i = 0; i &lt; res.length; i++) {\nres[i] = node!.val;\nnode = node!.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.c<pre><code>[class]{linkedListQueue}-[func]{}\n</code></pre> linkedlist_queue.cs<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue\n{\nprivate ListNode? front, rear;  // \u5934\u7ed3\u70b9 front \uff0c\u5c3e\u7ed3\u70b9 rear \nprivate int queSize = 0;\npublic LinkedListQueue()\n{\nfront = null;\nrear = null;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u961f */\npublic void push(int num)\n{\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nListNode node = new ListNode(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (front == null)\n{\nfront = node;\nrear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n}\nelse if (rear != null)\n{\nrear.next = node;\nrear = node;\n}\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll()\n{\nint num = peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front?.next;\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek()\n{\nif (size() == 0 || front == null)\nthrow new Exception();\nreturn front.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nif (front == null)\nreturn Array.Empty&lt;int&gt;();\nListNode node = front;\nint[] res = new int[size()];\nfor (int i = 0; i &lt; res.Length; i++)\n{\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_queue.swift<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217 */\nclass LinkedListQueue {\nprivate var front: ListNode? // \u5934\u7ed3\u70b9\nprivate var rear: ListNode? // \u5c3e\u7ed3\u70b9\nprivate var _size = 0\ninit() {}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\n_size\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nsize() == 0\n}\n/* \u5165\u961f */\nfunc push(num: Int) {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nlet node = ListNode(x: num)\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif front == nil {\nfront = node\nrear = node\n}\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\nelse {\nrear?.next = node\nrear = node\n}\n_size += 1\n}\n/* \u51fa\u961f */\n@discardableResult\nfunc poll() -&gt; Int {\nlet num = peek()\n// \u5220\u9664\u5934\u7ed3\u70b9\nfront = front?.next\n_size -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u961f\u5217\u4e3a\u7a7a\")\n}\nreturn front!.val\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nvar node = front\nvar res = Array(repeating: 0, count: size())\nfor i in res.indices {\nres[i] = node!.val\nnode = node?.next\n}\nreturn res\n}\n}\n</code></pre> linkedlist_queue.zig<pre><code>// \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u961f\u5217\nfn LinkedListQueue(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nfront: ?*inc.ListNode(T) = null,                // \u5934\u7ed3\u70b9 front\nrear: ?*inc.ListNode(T) = null,                 // \u5c3e\u7ed3\u70b9 rear\nqueSize: usize = 0,                             // \u961f\u5217\u7684\u957f\u5ea6\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u961f\u5217\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.front = null;\nself.rear = null;\nself.queSize = 0;\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.queSize;\n}\n// \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u961f\u9996\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.size() == 0) @panic(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn self.front.?.val;\n}  // \u5165\u961f\npub fn push(self: *Self, num: T) !void {\n// \u5c3e\u7ed3\u70b9\u540e\u6dfb\u52a0 num\nvar node = try self.mem_allocator.create(inc.ListNode(T));\nnode.init(num);\n// \u5982\u679c\u961f\u5217\u4e3a\u7a7a\uff0c\u5219\u4ee4\u5934\u3001\u5c3e\u7ed3\u70b9\u90fd\u6307\u5411\u8be5\u7ed3\u70b9\nif (self.front == null) {\nself.front = node;\nself.rear = node;\n// \u5982\u679c\u961f\u5217\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06\u8be5\u7ed3\u70b9\u6dfb\u52a0\u5230\u5c3e\u7ed3\u70b9\u540e\n} else {\nself.rear.?.next = node;\nself.rear = node;\n}\nself.queSize += 1;\n} // \u51fa\u961f\npub fn poll(self: *Self) T {\nvar num = self.peek();\n// \u5220\u9664\u5934\u7ed3\u70b9\nself.front = self.front.?.next;\nself.queSize -= 1;\nreturn num;\n} // \u5c06\u94fe\u8868\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\nvar node = self.front;\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nwhile (i &lt; res.len) : (i += 1) {\nres[i] = node.?.val;\nnode = node.?.next;\n}\nreturn res;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/queue/#_2","title":"\u57fa\u4e8e\u6570\u7ec4\u7684\u5b9e\u73b0","text":"<p>\u6570\u7ec4\u7684\u5220\u9664\u9996\u5143\u7d20\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \uff0c\u56e0\u6b64\u4e0d\u9002\u5408\u76f4\u63a5\u7528\u6765\u5b9e\u73b0\u961f\u5217\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u501f\u52a9\u4e24\u4e2a\u6307\u9488 <code>front</code> , <code>rear</code> \u6765\u5206\u522b\u8bb0\u5f55\u961f\u9996\u548c\u961f\u5c3e\u7684\u7d22\u5f15\u4f4d\u7f6e\uff0c\u5728\u5165\u961f / \u51fa\u961f\u65f6\u5206\u522b\u5c06 <code>front</code> / <code>rear</code> \u5411\u540e\u79fb\u52a8\u4e00\u4f4d\u5373\u53ef\uff0c\u8fd9\u6837\u6bcf\u6b21\u4ec5\u9700\u64cd\u4f5c\u4e00\u4e2a\u5143\u7d20\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u81f3 \\(O(1)\\) \u3002</p> ArrayQueuepush()poll() <p></p> <p></p> <p></p> <p>\u7ec6\u5fc3\u7684\u540c\u5b66\u53ef\u80fd\u4f1a\u53d1\u73b0\u4e00\u4e2a\u95ee\u9898\uff0c\u5373\u5728\u5165\u961f\u4e0e\u51fa\u961f\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e24\u4e2a\u6307\u9488\u90fd\u5728\u5411\u540e\u79fb\u52a8\uff0c\u5728\u5230\u8fbe\u5c3e\u90e8\u540e\u5219\u65e0\u6cd5\u7ee7\u7eed\u79fb\u52a8\u4e86\u3002</p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u91c7\u53d6\u4e00\u4e2a\u53d6\u5de7\u65b9\u6848\uff0c\u5373\u5c06\u6570\u7ec4\u770b\u4f5c\u662f\u201c\u73af\u5f62\u201d\u7684\u3002\u5177\u4f53\u505a\u6cd5\u662f\u89c4\u5b9a\u6307\u9488\u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\uff0c\u518d\u6b21\u56de\u5230\u5934\u90e8\u63a5\u7eed\u904d\u5386\uff0c\u8fd9\u6837\u76f8\u5f53\u4e8e\u4f7f\u6570\u7ec4\u201c\u9996\u5c3e\u76f8\u8fde\u201d\u4e86\u3002\u5728\u73af\u5f62\u6570\u7ec4\u7684\u8bbe\u5b9a\u4e0b\uff0c\u83b7\u53d6\u957f\u5ea6 <code>size()</code> \u3001\u5165\u961f <code>push()</code> \u3001\u51fa\u961f <code>poll()</code> \u65b9\u6cd5\u90fd\u9700\u8981\u505a\u76f8\u5e94\u7684\u53d6\u4f59\u64cd\u4f5c\u5904\u7406\uff0c\u4f7f\u5f97\u5f53\u5c3e\u6307\u9488\u7ed5\u56de\u6570\u7ec4\u5934\u90e8\u65f6\uff0c\u4ecd\u7136\u53ef\u4ee5\u6b63\u786e\u5904\u7406\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_queue.java<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate int[] nums;  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate int front;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate int queSize; // \u961f\u5217\u957f\u5ea6\npublic ArrayQueue(int capacity) {\nnums = new int[capacity];\nfront = queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\npublic int capacity() {\nreturn nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn queSize == 0;\n}\n/* \u5165\u961f */\npublic void push(int num) {\nif (queSize == capacity()) {\nSystem.out.println(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % capacity();\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll() {\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity();\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn nums[front];\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\npublic int[] toArray() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] res = new int[queSize];\nfor (int i = 0, j = front; i &lt; queSize; i++, j++) {\nres[i] = nums[j % capacity()];\n}\nreturn res;\n}\n}\n</code></pre> array_queue.cpp<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate:\nint *nums;       // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nint front;       // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nint queSize;     // \u961f\u5217\u957f\u5ea6\nint queCapacity; // \u961f\u5217\u5bb9\u91cf\npublic:\nArrayQueue(int capacity) {\n// \u521d\u59cb\u5316\u6570\u7ec4\nnums = new int[capacity];\nqueCapacity = capacity;\nfront = queSize = 0;\n}\n~ArrayQueue() {\ndelete[] nums;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nint capacity() {\nreturn queCapacity;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nint size() {\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn size() == 0;\n}\n/* \u5165\u961f */\nvoid push(int num) {\nif (queSize == queCapacity) {\ncout &lt;&lt; \"\u961f\u5217\u5df2\u6ee1\" &lt;&lt; endl;\nreturn;\n}\n// \u8ba1\u7b97\u961f\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % queCapacity;\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\nvoid poll() {\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % queCapacity;\nqueSize--;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nint peek() {\nif (empty())\nthrow out_of_range(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn nums[front];\n}\n/* \u5c06\u6570\u7ec4\u8f6c\u5316\u4e3a Vector \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvector&lt;int&gt; arr(queSize);\nfor (int i = 0, j = front; i &lt; queSize; i++, j++) {\narr[i] = nums[j % queCapacity];\n}\nreturn arr;\n}\n};\n</code></pre> array_queue.py<pre><code>\"\"\" \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 \"\"\"\nclass ArrayQueue:\ndef __init__(self, size):\nself.__nums = [0] * size  # \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nself.__front = 0          # \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nself.__size = 0           # \u961f\u5217\u957f\u5ea6\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf \"\"\"\ndef capacity(self):\nreturn len(self.__nums)\n\"\"\" \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn self.__size == 0\n\"\"\" \u5165\u961f \"\"\"\ndef push(self, num):\nassert self.__size &lt; self.capacity(), \"\u961f\u5217\u5df2\u6ee1\"\n# \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n# \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nrear = (self.__front + self.__size) % self.capacity()\n# \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nself.__nums[rear] = num\nself.__size += 1\n\"\"\" \u51fa\u961f \"\"\"\ndef poll(self):\nnum = self.peek()\n# \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nself.__front = (self.__front + 1) % self.capacity()\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u961f\u9996\u5143\u7d20 \"\"\"\ndef peek(self):\nassert not self.is_empty(), \"\u961f\u5217\u4e3a\u7a7a\"\nreturn self.__nums[self.__front]\n\"\"\" \u8fd4\u56de\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nres = [0] * self.size()\nj = self.__front\nfor i in range(self.size()):\nres[i] = self.__nums[(j % self.capacity())]\nj += 1\nreturn res\n</code></pre> array_queue.go<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\ntype arrayQueue struct {\nnums        []int // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nfront       int   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nqueSize     int   // \u961f\u5217\u957f\u5ea6\nqueCapacity int   // \u961f\u5217\u5bb9\u91cf\uff08\u5373\u6700\u5927\u5bb9\u7eb3\u5143\u7d20\u6570\u91cf\uff09\n}\n/* \u521d\u59cb\u5316\u961f\u5217 */\nfunc newArrayQueue(queCapacity int) *arrayQueue {\nreturn &amp;arrayQueue{\nnums:        make([]int, queCapacity),\nqueCapacity: queCapacity,\nfront:       0,\nqueSize:     0,\n}\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc (q *arrayQueue) size() int {\nreturn q.queSize\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc (q *arrayQueue) isEmpty() bool {\nreturn q.queSize == 0\n}\n/* \u5165\u961f */\nfunc (q *arrayQueue) push(num int) {\n// \u5f53 rear == queCapacity \u8868\u793a\u961f\u5217\u5df2\u6ee1\nif q.queSize == q.queCapacity {\nreturn\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nrear := (q.front + q.queSize) % q.queCapacity\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nq.nums[rear] = num\nq.queSize++\n}\n/* \u51fa\u961f */\nfunc (q *arrayQueue) poll() any {\nnum := q.peek()\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nq.front = (q.front + 1) % q.queCapacity\nq.queSize--\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc (q *arrayQueue) peek() any {\nif q.isEmpty() {\nreturn nil\n}\nreturn q.nums[q.front]\n}\n/* \u83b7\u53d6 Slice \u7528\u4e8e\u6253\u5370 */\nfunc (q *arrayQueue) toSlice() []int {\nrear := (q.front + q.queSize)\nif rear &gt;= q.queCapacity {\nrear %= q.queCapacity\nreturn append(q.nums[q.front:], q.nums[:rear]...)\n}\nreturn q.nums[q.front:rear]\n}\n</code></pre> array_queue.js<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\n#nums;         // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\n#front = 0;    // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\n#queSize = 0;  // \u961f\u5217\u957f\u5ea6\nconstructor(capacity) {\nthis.#nums = new Array(capacity);\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nget capacity() {\nreturn this.#nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nempty() {\nreturn this.#queSize == 0;\n}\n/* \u5165\u961f */\npush(num) {\nif (this.size == this.capacity) {\nconsole.log(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nconst rear = (this.#front + this.size) % this.capacity;\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nthis.#nums[rear] = num;\nthis.#queSize++;\n}\n/* \u51fa\u961f */\npoll() {\nconst num = this.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nthis.#front = (this.#front + 1) % this.capacity;\nthis.#queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek() {\nif (this.empty())\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.#nums[this.#front];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst arr = new Array(this.size);\nfor (let i = 0, j = this.#front; i &lt; this.size; i++, j++) {\narr[i] = this.#nums[j % this.capacity];\n}\nreturn arr;\n}\n}\n</code></pre> array_queue.ts<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate nums: number[];  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate front: number;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate queSize: number; // \u961f\u5217\u957f\u5ea6\nconstructor(capacity: number) {\nthis.nums = new Array(capacity);\nthis.front = this.queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nget capacity(): number {\nreturn this.nums.length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nempty(): boolean {\nreturn this.queSize == 0;\n}\n/* \u5165\u961f */\npush(num: number): void {\nif (this.size == this.capacity) {\nconsole.log(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nconst rear = (this.front + this.queSize) % this.capacity;\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nthis.nums[rear] = num;\nthis.queSize++;\n}\n/* \u51fa\u961f */\npoll(): number {\nconst num = this.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nthis.front = (this.front + 1) % this.capacity;\nthis.queSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npeek(): number {\nif (this.empty())\nthrow new Error(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn this.nums[this.front];\n}\n/* \u8fd4\u56de Array */\ntoArray(): number[] {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nconst arr = new Array(this.size);\nfor (let i = 0, j = this.front; i &lt; this.size; i++, j++) {\narr[i] = this.nums[j % this.capacity];\n}\nreturn arr;\n}\n}\n</code></pre> array_queue.c<pre><code>[class]{arrayQueue}-[func]{}\n</code></pre> array_queue.cs<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue\n{\nprivate int[] nums;  // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate int front;   // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate int queSize; // \u961f\u5217\u957f\u5ea6\npublic ArrayQueue(int capacity)\n{\nnums = new int[capacity];\nfront = queSize = 0;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\npublic int capacity()\n{\nreturn nums.Length;\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn queSize;\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn queSize == 0;\n}\n/* \u5165\u961f */\npublic void push(int num)\n{\nif (queSize == capacity())\n{\nConsole.WriteLine(\"\u961f\u5217\u5df2\u6ee1\");\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nint rear = (front + queSize) % capacity();\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nnums[rear] = num;\nqueSize++;\n}\n/* \u51fa\u961f */\npublic int poll()\n{\nint num = peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity();\nqueSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\npublic int peek()\n{\nif (isEmpty())\nthrow new Exception();\nreturn nums[front];\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\npublic int[] toArray()\n{\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nint[] res = new int[queSize];\nfor (int i = 0, j = front; i &lt; queSize; i++, j++)\n{\nres[i] = nums[j % this.capacity()];\n}\nreturn res;\n}\n}\n</code></pre> array_queue.swift<pre><code>/* \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217 */\nclass ArrayQueue {\nprivate var nums: [Int] // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4\nprivate var front = 0 // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nprivate var queSize = 0 // \u961f\u5217\u957f\u5ea6\ninit(capacity: Int) {\n// \u521d\u59cb\u5316\u6570\u7ec4\nnums = Array(repeating: 0, count: capacity)\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf */\nfunc capacity() -&gt; Int {\nnums.count\n}\n/* \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\nqueSize\n}\n/* \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nqueSize == 0\n}\n/* \u5165\u961f */\nfunc push(num: Int) {\nif size() == capacity() {\nprint(\"\u961f\u5217\u5df2\u6ee1\")\nreturn\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nlet rear = (front + queSize) % capacity()\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nnums[rear] = num\nqueSize += 1\n}\n/* \u51fa\u961f */\n@discardableResult\nfunc poll() -&gt; Int {\nlet num = peek()\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nfront = (front + 1) % capacity()\nqueSize -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u961f\u9996\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u961f\u5217\u4e3a\u7a7a\")\n}\nreturn nums[front]\n}\n/* \u8fd4\u56de\u6570\u7ec4 */\nfunc toArray() -&gt; [Int] {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar res = Array(repeating: 0, count: queSize)\nfor (i, j) in sequence(first: (0, front), next: { $0 &lt; self.queSize - 1 ? ($0 + 1, $1 + 1) : nil }) {\nres[i] = nums[j % capacity()]\n}\nreturn res\n}\n}\n</code></pre> array_queue.zig<pre><code>// \u57fa\u4e8e\u73af\u5f62\u6570\u7ec4\u5b9e\u73b0\u7684\u961f\u5217\nfn ArrayQueue(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nnums: []T = undefined,                          // \u7528\u4e8e\u5b58\u50a8\u961f\u5217\u5143\u7d20\u7684\u6570\u7ec4     \ncap: usize = 0,                                 // \u961f\u5217\u5bb9\u91cf\nfront: usize = 0,                               // \u961f\u9996\u6307\u9488\uff0c\u6307\u5411\u961f\u9996\u5143\u7d20\nqueSize: usize = 0,                             // \u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e + 1\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6570\u7ec4\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator, cap: usize) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.cap = cap;\nself.nums = try self.mem_allocator.alloc(T, self.cap);\nstd.mem.set(T, self.nums, @as(T, 0));\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u5bb9\u91cf\npub fn capacity(self: *Self) usize {\nreturn self.cap;\n}\n// \u83b7\u53d6\u961f\u5217\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.queSize;\n}\n// \u5224\u65ad\u961f\u5217\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.queSize == 0;\n}\n// \u5165\u961f\npub fn push(self: *Self, num: T) !void {\nif (self.size() == self.capacity()) {\nstd.debug.print(\"\u961f\u5217\u5df2\u6ee1\\n\", .{});\nreturn;\n}\n// \u8ba1\u7b97\u5c3e\u6307\u9488\uff0c\u6307\u5411\u961f\u5c3e\u7d22\u5f15 + 1\n// \u901a\u8fc7\u53d6\u4f59\u64cd\u4f5c\uff0c\u5b9e\u73b0 rear \u8d8a\u8fc7\u6570\u7ec4\u5c3e\u90e8\u540e\u56de\u5230\u5934\u90e8\nvar rear = (self.front + self.queSize) % self.capacity();\n// \u5c06 num \u6dfb\u52a0\u81f3\u961f\u5c3e\nself.nums[rear] = num;\nself.queSize += 1;\n} // \u51fa\u961f\npub fn poll(self: *Self) T {\nvar num = self.peek();\n// \u961f\u9996\u6307\u9488\u5411\u540e\u79fb\u52a8\u4e00\u4f4d\uff0c\u82e5\u8d8a\u8fc7\u5c3e\u90e8\u5219\u8fd4\u56de\u5230\u6570\u7ec4\u5934\u90e8\nself.front = (self.front + 1) % self.capacity();\nself.queSize -= 1;\nreturn num;\n} // \u8bbf\u95ee\u961f\u9996\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.isEmpty()) @panic(\"\u961f\u5217\u4e3a\u7a7a\");\nreturn self.nums[self.front];\n} // \u8fd4\u56de\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\n// \u4ec5\u8f6c\u6362\u6709\u6548\u957f\u5ea6\u8303\u56f4\u5185\u7684\u5217\u8868\u5143\u7d20\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nvar j: usize = self.front;\nwhile (i &lt; self.size()) : ({ i += 1; j += 1; }) {\nres[i] = self.nums[j % self.capacity()];\n}\nreturn res;\n}\n};\n}\n</code></pre> <p>\u4ee5\u4e0a\u4ee3\u7801\u4ecd\u5b58\u5728\u5c40\u9650\u6027\uff0c\u5373\u957f\u5ea6\u4e0d\u53ef\u53d8\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5c06\u6570\u7ec4\u66ff\u6362\u4e3a\u5217\u8868\uff08\u5373\u52a8\u6001\u6570\u7ec4\uff09\u6765\u5f15\u5165\u6269\u5bb9\u673a\u5236\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u5c1d\u8bd5\u5b9e\u73b0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#523","title":"5.2.3. \u4e24\u79cd\u5b9e\u73b0\u5bf9\u6bd4","text":"<p>\u4e0e\u6808\u7684\u7ed3\u8bba\u4e00\u81f4\uff0c\u5728\u6b64\u4e0d\u518d\u8d58\u8ff0\u3002</p>"},{"location":"chapter_stack_and_queue/queue/#524","title":"5.2.4. \u961f\u5217\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u6dd8\u5b9d\u8ba2\u5355\u3002\u8d2d\u7269\u8005\u4e0b\u5355\u540e\uff0c\u8ba2\u5355\u5c31\u88ab\u52a0\u5165\u5230\u961f\u5217\u4e4b\u4e2d\uff0c\u968f\u540e\u7cfb\u7edf\u518d\u6839\u636e\u987a\u5e8f\u4f9d\u6b21\u5904\u7406\u961f\u5217\u4e2d\u7684\u8ba2\u5355\u3002\u5728\u53cc\u5341\u4e00\u65f6\uff0c\u5728\u77ed\u65f6\u95f4\u5185\u4f1a\u4ea7\u751f\u6d77\u91cf\u7684\u8ba2\u5355\uff0c\u5982\u4f55\u5904\u7406\u300c\u9ad8\u5e76\u53d1\u300d\u5219\u662f\u5de5\u7a0b\u5e08\u4eec\u9700\u8981\u91cd\u70b9\u601d\u8003\u7684\u95ee\u9898\u3002</li> <li>\u5404\u79cd\u5f85\u529e\u4e8b\u9879\u3002\u4f8b\u5982\u6253\u5370\u673a\u7684\u4efb\u52a1\u961f\u5217\u3001\u9910\u5385\u7684\u51fa\u9910\u961f\u5217\u7b49\u7b49\u3002</li> </ul>"},{"location":"chapter_stack_and_queue/stack/","title":"5.1. \u6808","text":"<p>\u300c\u6808 Stack\u300d\u662f\u4e00\u79cd\u9075\u5faa\u300c\u5148\u5165\u540e\u51fa first in, last out\u300d\u6570\u636e\u64cd\u4f5c\u89c4\u5219\u7684\u7ebf\u6027\u6570\u636e\u7ed3\u6784\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u6808\u7c7b\u6bd4\u4e3a\u653e\u5728\u684c\u9762\u4e0a\u7684\u4e00\u645e\u76d8\u5b50\uff0c\u5982\u679c\u9700\u8981\u62ff\u51fa\u5e95\u90e8\u7684\u76d8\u5b50\uff0c\u5219\u9700\u8981\u5148\u5c06\u4e0a\u9762\u7684\u76d8\u5b50\u4f9d\u6b21\u53d6\u51fa\u3002</p> <p>\u201c\u76d8\u5b50\u201d\u662f\u4e00\u79cd\u5f62\u8c61\u6bd4\u55bb\uff0c\u6211\u4eec\u5c06\u76d8\u5b50\u66ff\u6362\u4e3a\u4efb\u610f\u4e00\u79cd\u5143\u7d20\uff08\u4f8b\u5982\u6574\u6570\u3001\u5b57\u7b26\u3001\u5bf9\u8c61\u7b49\uff09\uff0c\u5c31\u5f97\u5230\u4e86\u6808\u6570\u636e\u7ed3\u6784\u3002</p> <p>\u6211\u4eec\u5c06\u8fd9\u4e00\u645e\u5143\u7d20\u7684\u9876\u90e8\u79f0\u4e3a\u300c\u6808\u9876\u300d\uff0c\u5c06\u5e95\u90e8\u79f0\u4e3a\u300c\u6808\u5e95\u300d\uff0c\u5c06\u628a\u5143\u7d20\u6dfb\u52a0\u5230\u6808\u9876\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u5165\u6808\u300d\uff0c\u5c06\u5220\u9664\u6808\u9876\u5143\u7d20\u7684\u64cd\u4f5c\u79f0\u4e3a\u300c\u51fa\u6808\u300d\u3002</p> <p></p> <p> Fig. \u6808\u7684\u5148\u5165\u540e\u51fa\u7279\u6027 </p>"},{"location":"chapter_stack_and_queue/stack/#511","title":"5.1.1. \u6808\u5e38\u7528\u64cd\u4f5c","text":"<p>\u6808\u7684\u5e38\u7528\u64cd\u4f5c\u89c1\u4e0b\u8868\uff08\u65b9\u6cd5\u547d\u540d\u4ee5 Java \u4e3a\u4f8b\uff09\u3002</p> <p> Table. \u6808\u7684\u5e38\u7528\u64cd\u4f5c </p> \u65b9\u6cd5 \u63cf\u8ff0 \u65f6\u95f4\u590d\u6742\u5ea6 push() \u5143\u7d20\u5165\u6808\uff08\u6dfb\u52a0\u81f3\u6808\u9876\uff09 \\(O(1)\\) pop() \u6808\u9876\u5143\u7d20\u51fa\u6808 \\(O(1)\\) peek() \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \\(O(1)\\) size() \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \\(O(1)\\) isEmpty() \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \\(O(1)\\) <p>\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u7f16\u7a0b\u8bed\u8a00\u5b9e\u73b0\u597d\u7684\u6808\u7c7b\u3002 \u67d0\u4e9b\u8bed\u8a00\u5e76\u672a\u4e13\u95e8\u63d0\u4f9b\u6808\u7c7b\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u628a\u8be5\u8bed\u8a00\u7684\u300c\u6570\u7ec4\u300d\u6216\u300c\u94fe\u8868\u300d\u770b\u4f5c\u6808\u6765\u4f7f\u7528\uff0c\u5e76\u901a\u8fc7\u201c\u8111\u8865\u201d\u6765\u5c4f\u853d\u65e0\u5173\u64cd\u4f5c\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig stack.java<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// \u5728 Java \u4e2d\uff0c\u63a8\u8350\u5c06 ArrayList \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nList&lt;Integer&gt; stack = new ArrayList&lt;&gt;();\n/* \u5143\u7d20\u5165\u6808 */\nstack.add(1);\nstack.add(3);\nstack.add(2);\nstack.add(5);\nstack.add(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint peek = stack.get(stack.size() - 1);\n/* \u5143\u7d20\u51fa\u6808 */\nint pop = stack.remove(stack.size() - 1);\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.size();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nboolean isEmpty = stack.isEmpty();\n</code></pre> stack.cpp<pre><code>/* \u521d\u59cb\u5316\u6808 */\nstack&lt;int&gt; stack;\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top = stack.top();\n/* \u5143\u7d20\u51fa\u6808 */\nstack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.size();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nbool empty = stack.empty();\n</code></pre> stack.py<pre><code>\"\"\" \u521d\u59cb\u5316\u6808 \"\"\"\n# Python \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a List \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nstack = []\n\"\"\" \u5143\u7d20\u5165\u6808 \"\"\"\nstack.append(1)\nstack.append(3)\nstack.append(2)\nstack.append(5)\nstack.append(4)\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\npeek = stack[-1]\n\"\"\" \u5143\u7d20\u51fa\u6808 \"\"\"\npop = stack.pop()\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\nsize = len(stack)\n\"\"\" \u5224\u65ad\u662f\u5426\u4e3a\u7a7a \"\"\"\nis_empty = len(stack) == 0\n</code></pre> stack_test.go<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// \u5728 Go \u4e2d\uff0c\u63a8\u8350\u5c06 Slice \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nvar stack []int\n/* \u5143\u7d20\u5165\u6808 */\nstack = append(stack, 1)\nstack = append(stack, 3)\nstack = append(stack, 2)\nstack = append(stack, 5)\nstack = append(stack, 4)\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek := stack[len(stack)-1]\n/* \u5143\u7d20\u51fa\u6808 */\npop := stack[len(stack)-1]\nstack = stack[:len(stack)-1]\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nsize := len(stack)\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nisEmpty := len(stack) == 0\n</code></pre> stack.js<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Javascript \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nconst stack = [];\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nconst peek = stack[stack.length-1];\n/* \u5143\u7d20\u51fa\u6808 */\nconst pop = stack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nconst size = stack.length;\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nconst is_empty = stack.length === 0;\n</code></pre> stack.ts<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Typescript \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528 \nconst stack: number[] = [];\n/* \u5143\u7d20\u5165\u6808 */\nstack.push(1);\nstack.push(3);\nstack.push(2);\nstack.push(5);\nstack.push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nconst peek = stack[stack.length - 1];\n/* \u5143\u7d20\u51fa\u6808 */\nconst pop = stack.pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nconst size = stack.length;\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nconst is_empty = stack.length === 0;\n</code></pre> stack.c<pre><code>\n</code></pre> stack.cs<pre><code>/* \u521d\u59cb\u5316\u6808 */\nStack&lt;int&gt; stack = new ();\n/* \u5143\u7d20\u5165\u6808 */\nstack.Push(1);\nstack.Push(3);\nstack.Push(2);\nstack.Push(5);\nstack.Push(4);\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint peek = stack.Peek();\n/* \u5143\u7d20\u51fa\u6808 */\nint pop = stack.Pop();\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size = stack.Count();\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nbool isEmpty = stack.Count()==0;\n</code></pre> stack.swift<pre><code>/* \u521d\u59cb\u5316\u6808 */\n// Swift \u6ca1\u6709\u5185\u7f6e\u7684\u6808\u7c7b\uff0c\u53ef\u4ee5\u628a Array \u5f53\u4f5c\u6808\u6765\u4f7f\u7528\nvar stack: [Int] = []\n/* \u5143\u7d20\u5165\u6808 */\nstack.append(1)\nstack.append(3)\nstack.append(2)\nstack.append(5)\nstack.append(4)\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nlet peek = stack.last!\n/* \u5143\u7d20\u51fa\u6808 */\nlet pop = stack.removeLast()\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nlet size = stack.count\n/* \u5224\u65ad\u662f\u5426\u4e3a\u7a7a */\nlet isEmpty = stack.isEmpty\n</code></pre> stack.zig<pre><code>\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#512","title":"5.1.2. \u6808\u7684\u5b9e\u73b0","text":"<p>\u4e3a\u4e86\u66f4\u52a0\u6e05\u6670\u5730\u4e86\u89e3\u6808\u7684\u8fd0\u884c\u673a\u5236\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u6765\u81ea\u5df1\u52a8\u624b\u5b9e\u73b0\u4e00\u4e2a\u6808\u7c7b\u3002</p> <p>\u6808\u89c4\u5b9a\u5143\u7d20\u662f\u5148\u5165\u540e\u51fa\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u53ea\u80fd\u5728\u6808\u9876\u6dfb\u52a0\u6216\u5220\u9664\u5143\u7d20\u3002\u7136\u800c\uff0c\u6570\u7ec4\u6216\u94fe\u8868\u90fd\u53ef\u4ee5\u5728\u4efb\u610f\u4f4d\u7f6e\u6dfb\u52a0\u5220\u9664\u5143\u7d20\uff0c\u56e0\u6b64 \u6808\u53ef\u88ab\u770b\u4f5c\u662f\u4e00\u79cd\u53d7\u7ea6\u675f\u7684\u6570\u7ec4\u6216\u94fe\u8868\u3002\u6362\u8a00\u4e4b\uff0c\u6211\u4eec\u53ef\u4ee5\u201c\u5c4f\u853d\u201d\u6570\u7ec4\u6216\u94fe\u8868\u7684\u90e8\u5206\u65e0\u5173\u64cd\u4f5c\uff0c\u4f7f\u4e4b\u5bf9\u5916\u7684\u8868\u73b0\u903b\u8f91\u7b26\u5408\u6808\u7684\u89c4\u5b9a\u5373\u53ef\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#_1","title":"\u57fa\u4e8e\u94fe\u8868\u7684\u5b9e\u73b0","text":"<p>\u4f7f\u7528\u300c\u94fe\u8868\u300d\u5b9e\u73b0\u6808\u65f6\uff0c\u5c06\u94fe\u8868\u7684\u5934\u7ed3\u70b9\u770b\u4f5c\u6808\u9876\uff0c\u5c06\u5c3e\u7ed3\u70b9\u770b\u4f5c\u6808\u5e95\u3002</p> <p>\u5bf9\u4e8e\u5165\u6808\u64cd\u4f5c\uff0c\u5c06\u5143\u7d20\u63d2\u5165\u5230\u94fe\u8868\u5934\u90e8\u5373\u53ef\uff0c\u8fd9\u79cd\u7ed3\u70b9\u6dfb\u52a0\u65b9\u5f0f\u88ab\u79f0\u4e3a\u201c\u5934\u63d2\u6cd5\u201d\u3002\u800c\u5bf9\u4e8e\u51fa\u6808\u64cd\u4f5c\uff0c\u5219\u5c06\u5934\u7ed3\u70b9\u4ece\u94fe\u8868\u4e2d\u5220\u9664\u5373\u53ef\u3002</p> LinkedListStackpush()pop() <p></p> <p></p> <p></p> <p>\u4ee5\u4e0b\u662f\u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u6808\u7684\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig linkedlist_stack.java<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate ListNode stackPeek;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate int stkSize = 0;   // \u6808\u7684\u957f\u5ea6\npublic LinkedListStack() {\nstackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size() {\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num) {\nListNode node = new ListNode(num);\nnode.next = stackPeek;\nstackPeek = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\npublic int pop() {\nint num = peek();\nstackPeek = stackPeek.next;\nstkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek() {\nif (size() == 0)\nthrow new EmptyStackException();\nreturn stackPeek.val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray() {\nListNode node = stackPeek;\nint[] res = new int[size()];\nfor (int i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.cpp<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate:\nListNode* stackTop; // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nint stkSize;        // \u6808\u7684\u957f\u5ea6\npublic:\nLinkedListStack() {\nstackTop = nullptr;\nstkSize = 0;\n}\n~LinkedListStack() {\nfreeMemoryLinkedList(stackTop);\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size() {\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\nvoid push(int num) {\nListNode* node = new ListNode(num);\nnode-&gt;next = stackTop;\nstackTop = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\nvoid pop() {\nint num = top();\nListNode *tmp = stackTop;\nstackTop = stackTop-&gt;next;\n// \u91ca\u653e\u5185\u5b58\ndelete tmp;\nstkSize--;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top() {\nif (size() == 0)\nthrow out_of_range(\"\u6808\u4e3a\u7a7a\");\nreturn stackTop-&gt;val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nvector&lt;int&gt; toVector() {\nListNode* node = stackTop;\nvector&lt;int&gt; res(size());\nfor (int i = res.size() - 1; i &gt;= 0; i--) {\nres[i] = node-&gt;val;\nnode = node-&gt;next;\n}\nreturn res;\n}\n};\n</code></pre> linkedlist_stack.py<pre><code>\"\"\" \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 \"\"\"\nclass LinkedListStack:\ndef __init__(self):\nself.__peek = None\nself.__size = 0\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn self.__size\n\"\"\" \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn not self.__peek\n\"\"\" \u5165\u6808 \"\"\"\ndef push(self, val):\nnode = ListNode(val)\nnode.next = self.__peek\nself.__peek = node\nself.__size += 1\n\"\"\" \u51fa\u6808 \"\"\"\ndef pop(self):\nnum = self.peek()\nself.__peek = self.__peek.next\nself.__size -= 1\nreturn num\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\ndef peek(self):\n# \u5224\u7a7a\u5904\u7406\nif not self.__peek: return None\nreturn self.__peek.val\n\"\"\" \u8f6c\u5316\u4e3a\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\narr = []\nnode = self.__peek\nwhile node:\narr.append(node.val)\nnode = node.next\narr.reverse()\nreturn arr\n</code></pre> linkedlist_stack.go<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\ntype linkedListStack struct {\n// \u4f7f\u7528\u5185\u7f6e\u5305 list \u6765\u5b9e\u73b0\u6808\ndata *list.List\n}\n/* \u521d\u59cb\u5316\u6808 */\nfunc newLinkedListStack() *linkedListStack {\nreturn &amp;linkedListStack{\ndata: list.New(),\n}\n}\n/* \u5165\u6808 */\nfunc (s *linkedListStack) push(value int) {\ns.data.PushBack(value)\n}\n/* \u51fa\u6808 */\nfunc (s *linkedListStack) pop() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Back()\ns.data.Remove(e)\nreturn e.Value\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc (s *linkedListStack) peek() any {\nif s.isEmpty() {\nreturn nil\n}\ne := s.data.Back()\nreturn e.Value\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc (s *linkedListStack) size() int {\nreturn s.data.Len()\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc (s *linkedListStack) isEmpty() bool {\nreturn s.data.Len() == 0\n}\n/* \u83b7\u53d6 List \u7528\u4e8e\u6253\u5370 */\nfunc (s *linkedListStack) toList() *list.List {\nreturn s.data\n}\n</code></pre> linkedlist_stack.js<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\n#stackPeek;     // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\n#stkSize = 0;   // \u6808\u7684\u957f\u5ea6\nconstructor() {\nthis.#stackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size() {\nreturn this.#stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nisEmpty() {\nreturn this.size == 0;\n}\n/* \u5165\u6808 */\npush(num) {\nconst node = new ListNode(num);\nnode.next = this.#stackPeek;\nthis.#stackPeek = node;\nthis.#stkSize++;\n}\n/* \u51fa\u6808 */\npop() {\nconst num = this.peek();\nthis.#stackPeek = this.#stackPeek.next;\nthis.#stkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek() {\nif (!this.#stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.#stackPeek.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray() {\nlet node = this.#stackPeek;\nconst res = new Array(this.size);\nfor (let i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.ts<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate stackPeek: ListNode | null;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate stkSize: number = 0;         // \u6808\u7684\u957f\u5ea6\nconstructor() {\nthis.stackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nisEmpty(): boolean {\nreturn this.size == 0;\n}\n/* \u5165\u6808 */\npush(num: number): void {\nconst node = new ListNode(num);\nnode.next = this.stackPeek;\nthis.stackPeek = node;\nthis.stkSize++;\n}\n/* \u51fa\u6808 */\npop(): number {\nconst num = this.peek();\nif (!this.stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nthis.stackPeek = this.stackPeek.next;\nthis.stkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npeek(): number {\nif (!this.stackPeek)\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stackPeek.val;\n}\n/* \u5c06\u94fe\u8868\u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\ntoArray(): number[] {\nlet node = this.stackPeek;\nconst res = new Array&lt;number&gt;(this.size);\nfor (let i = res.length - 1; i &gt;= 0; i--) {\nres[i] = node!.val;\nnode = node!.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.c<pre><code>[class]{linkedListStack}-[func]{}\n</code></pre> linkedlist_stack.cs<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack\n{\nprivate ListNode? stackPeek;  // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate int stkSize = 0;   // \u6808\u7684\u957f\u5ea6\npublic LinkedListStack()\n{\nstackPeek = null;\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn stkSize;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num)\n{\nListNode node = new ListNode(num);\nnode.next = stackPeek;\nstackPeek = node;\nstkSize++;\n}\n/* \u51fa\u6808 */\npublic int pop()\n{\nif (stackPeek == null)\nthrow new Exception();\nint num = peek();\nstackPeek = stackPeek.next;\nstkSize--;\nreturn num;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek()\n{\nif (size() == 0 || stackPeek == null)\nthrow new Exception();\nreturn stackPeek.val;\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nif (stackPeek == null)\nreturn Array.Empty&lt;int&gt;();\nListNode node = stackPeek;\nint[] res = new int[size()];\nfor (int i = res.Length - 1; i &gt;= 0; i--)\n{\nres[i] = node.val;\nnode = node.next;\n}\nreturn res;\n}\n}\n</code></pre> linkedlist_stack.swift<pre><code>/* \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808 */\nclass LinkedListStack {\nprivate var _peek: ListNode? // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nprivate var _size = 0 // \u6808\u7684\u957f\u5ea6\ninit() {}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\n_size\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nsize() == 0\n}\n/* \u5165\u6808 */\nfunc push(num: Int) {\nlet node = ListNode(x: num)\nnode.next = _peek\n_peek = node\n_size += 1\n}\n/* \u51fa\u6808 */\n@discardableResult\nfunc pop() -&gt; Int {\nlet num = peek()\n_peek = _peek?.next\n_size -= 1\nreturn num\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn _peek!.val\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nvar node = _peek\nvar res = Array(repeating: 0, count: _size)\nfor i in sequence(first: res.count - 1, next: { $0 &gt;= 0 + 1 ? $0 - 1 : nil }) {\nres[i] = node!.val\nnode = node?.next\n}\nreturn res\n}\n}\n</code></pre> linkedlist_stack.zig<pre><code>// \u57fa\u4e8e\u94fe\u8868\u5b9e\u73b0\u7684\u6808\nfn LinkedListStack(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nstackTop: ?*inc.ListNode(T) = null,             // \u5c06\u5934\u7ed3\u70b9\u4f5c\u4e3a\u6808\u9876\nstkSize: usize = 0,                             // \u6808\u7684\u957f\u5ea6\nmem_arena: ?std.heap.ArenaAllocator = null,\nmem_allocator: std.mem.Allocator = undefined,   // \u5185\u5b58\u5206\u914d\u5668\n// \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6808\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) !void {\nif (self.mem_arena == null) {\nself.mem_arena = std.heap.ArenaAllocator.init(allocator);\nself.mem_allocator = self.mem_arena.?.allocator();\n}\nself.stackTop = null;\nself.stkSize = 0;\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.mem_arena == null) return;\nself.mem_arena.?.deinit();\n}\n// \u83b7\u53d6\u6808\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.stkSize;\n}\n// \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u6808\u9876\u5143\u7d20\npub fn top(self: *Self) T {\nif (self.size() == 0) @panic(\"\u6808\u4e3a\u7a7a\");\nreturn self.stackTop.?.val;\n}  // \u5165\u6808\npub fn push(self: *Self, num: T) !void {\nvar node = try self.mem_allocator.create(inc.ListNode(T));\nnode.init(num);\nnode.next = self.stackTop;\nself.stackTop = node;\nself.stkSize += 1;\n} // \u51fa\u6808\npub fn pop(self: *Self) T {\nvar num = self.top();\nself.stackTop = self.stackTop.?.next;\nself.stkSize -= 1;\nreturn num;\n} // \u5c06\u6808\u8f6c\u6362\u4e3a\u6570\u7ec4\npub fn toArray(self: *Self) ![]T {\nvar node = self.stackTop;\nvar res = try self.mem_allocator.alloc(T, self.size());\nstd.mem.set(T, res, @as(T, 0));\nvar i: usize = 0;\nwhile (i &lt; res.len) : (i += 1) {\nres[res.len - i - 1] = node.?.val;\nnode = node.?.next;\n}\nreturn res;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#_2","title":"\u57fa\u4e8e\u6570\u7ec4\u7684\u5b9e\u73b0","text":"<p>\u4f7f\u7528\u300c\u6570\u7ec4\u300d\u5b9e\u73b0\u6808\u65f6\uff0c\u8003\u8651\u5c06\u6570\u7ec4\u7684\u5c3e\u90e8\u5f53\u4f5c\u6808\u9876\u3002\u8fd9\u6837\u8bbe\u8ba1\u4e0b\uff0c\u300c\u5165\u6808\u300d\u4e0e\u300c\u51fa\u6808\u300d\u64cd\u4f5c\u5c31\u5bf9\u5e94\u5728\u6570\u7ec4\u5c3e\u90e8\u300c\u6dfb\u52a0\u5143\u7d20\u300d\u4e0e\u300c\u5220\u9664\u5143\u7d20\u300d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(1)\\) \u3002</p> ArrayStackpush()pop() <p></p> <p></p> <p></p> <p>\u7531\u4e8e\u5165\u6808\u7684\u5143\u7d20\u53ef\u80fd\u662f\u6e90\u6e90\u4e0d\u65ad\u7684\uff0c\u56e0\u6b64\u53ef\u4ee5\u4f7f\u7528\u652f\u6301\u52a8\u6001\u6269\u5bb9\u7684\u300c\u5217\u8868\u300d\uff0c\u8fd9\u6837\u5c31\u65e0\u9700\u81ea\u884c\u5b9e\u73b0\u6570\u7ec4\u6269\u5bb9\u4e86\u3002\u4ee5\u4e0b\u662f\u793a\u4f8b\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig array_stack.java<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate ArrayList&lt;Integer&gt; stack;\npublic ArrayStack() {\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = new ArrayList&lt;&gt;();\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size() {\nreturn stack.size();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic boolean isEmpty() {\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num) {\nstack.add(num);\n}\n/* \u51fa\u6808 */\npublic int pop() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn stack.remove(size() - 1);\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek() {\nif (isEmpty())\nthrow new EmptyStackException();\nreturn stack.get(size() - 1);\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic Object[] toArray() {\nreturn stack.toArray();\n}\n}\n</code></pre> array_stack.cpp<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate:\nvector&lt;int&gt; stack;\npublic:\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nint size() {\nreturn stack.size();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nbool empty() {\nreturn stack.empty();\n}\n/* \u5165\u6808 */\nvoid push(int num) {\nstack.push_back(num);\n}\n/* \u51fa\u6808 */\nvoid pop() {\nint oldTop = top();\nstack.pop_back();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nint top() {\nif(empty())\nthrow out_of_range(\"\u6808\u4e3a\u7a7a\");\nreturn stack.back();\n}\n/* \u8fd4\u56de Vector */\nvector&lt;int&gt; toVector() {\nreturn stack;\n}\n};\n</code></pre> array_stack.py<pre><code>\"\"\" \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 \"\"\"\nclass ArrayStack:\ndef __init__(self):\nself.__stack = []\n\"\"\" \u83b7\u53d6\u6808\u7684\u957f\u5ea6 \"\"\"\ndef size(self):\nreturn len(self.__stack)\n\"\"\" \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a \"\"\"\ndef is_empty(self):\nreturn self.__stack == []\n\"\"\" \u5165\u6808 \"\"\"\ndef push(self, item):\nself.__stack.append(item)\n\"\"\" \u51fa\u6808 \"\"\"\ndef pop(self):\nassert not self.is_empty(), \"\u6808\u4e3a\u7a7a\"\nreturn self.__stack.pop()\n\"\"\" \u8bbf\u95ee\u6808\u9876\u5143\u7d20 \"\"\"\ndef peek(self):\nassert not self.is_empty(), \"\u6808\u4e3a\u7a7a\"\nreturn self.__stack[-1]\n\"\"\" \u8fd4\u56de\u5217\u8868\u7528\u4e8e\u6253\u5370 \"\"\"\ndef to_list(self):\nreturn self.__stack\n</code></pre> array_stack.go<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\ntype arrayStack struct {\ndata []int // \u6570\u636e\n}\n/* \u521d\u59cb\u5316\u6808 */\nfunc newArrayStack() *arrayStack {\nreturn &amp;arrayStack{\n// \u8bbe\u7f6e\u6808\u7684\u957f\u5ea6\u4e3a 0\uff0c\u5bb9\u91cf\u4e3a 16\ndata: make([]int, 0, 16),\n}\n}\n/* \u6808\u7684\u957f\u5ea6 */\nfunc (s *arrayStack) size() int {\nreturn len(s.data)\n}\n/* \u6808\u662f\u5426\u4e3a\u7a7a */\nfunc (s *arrayStack) isEmpty() bool {\nreturn s.size() == 0\n}\n/* \u5165\u6808 */\nfunc (s *arrayStack) push(v int) {\n// \u5207\u7247\u4f1a\u81ea\u52a8\u6269\u5bb9\ns.data = append(s.data, v)\n}\n/* \u51fa\u6808 */\nfunc (s *arrayStack) pop() any {\nval := s.peek()\ns.data = s.data[:len(s.data)-1]\nreturn val\n}\n/* \u83b7\u53d6\u6808\u9876\u5143\u7d20 */\nfunc (s *arrayStack) peek() any {\nif s.isEmpty() {\nreturn nil\n}\nval := s.data[len(s.data)-1]\nreturn val\n}\n/* \u83b7\u53d6 Slice \u7528\u4e8e\u6253\u5370 */\nfunc (s *arrayStack) toSlice() []int {\nreturn s.data\n}\n</code></pre> array_stack.js<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nstack;\nconstructor() {\nthis.stack = [];\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size() {\nreturn this.stack.length;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nempty() {\nreturn this.stack.length === 0;\n}\n/* \u5165\u6808 */\npush(num) {\nthis.stack.push(num);\n}\n/* \u51fa\u6808 */\npop() {\nif (this.empty())\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stack.pop();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\ntop() {\nif (this.empty())\nthrow new Error(\"\u6808\u4e3a\u7a7a\");\nreturn this.stack[this.stack.length - 1];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\nreturn this.stack;\n}\n};\n</code></pre> array_stack.ts<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate stack: number[];\nconstructor() {\nthis.stack = [];\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nget size(): number {\nreturn this.stack.length;\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nempty(): boolean {\nreturn this.stack.length === 0;\n}\n/* \u5165\u6808 */\npush(num: number): void {\nthis.stack.push(num);\n}\n/* \u51fa\u6808 */\npop(): number | undefined {\nif (this.empty())\nthrow new Error('\u6808\u4e3a\u7a7a');\nreturn this.stack.pop();\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\ntop(): number | undefined {\nif (this.empty())\nthrow new Error('\u6808\u4e3a\u7a7a');\nreturn this.stack[this.stack.length - 1];\n}\n/* \u8fd4\u56de Array */\ntoArray() {\nreturn this.stack;\n}\n};\n</code></pre> array_stack.c<pre><code>[class]{arrayStack}-[func]{}\n</code></pre> array_stack.cs<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack\n{\nprivate List&lt;int&gt; stack;\npublic ArrayStack()\n{\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = new();\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\npublic int size()\n{\nreturn stack.Count();\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\npublic bool isEmpty()\n{\nreturn size() == 0;\n}\n/* \u5165\u6808 */\npublic void push(int num)\n{\nstack.Add(num);\n}\n/* \u51fa\u6808 */\npublic int pop()\n{\nif (isEmpty())\nthrow new Exception();\nvar val = peek();\nstack.RemoveAt(size() - 1);\nreturn val;\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\npublic int peek()\n{\nif (isEmpty())\nthrow new Exception();\nreturn stack[size() - 1];\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\npublic int[] toArray()\n{\nreturn stack.ToArray();\n}\n}\n</code></pre> array_stack.swift<pre><code>/* \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808 */\nclass ArrayStack {\nprivate var stack: [Int]\ninit() {\n// \u521d\u59cb\u5316\u5217\u8868\uff08\u52a8\u6001\u6570\u7ec4\uff09\nstack = []\n}\n/* \u83b7\u53d6\u6808\u7684\u957f\u5ea6 */\nfunc size() -&gt; Int {\nstack.count\n}\n/* \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a */\nfunc isEmpty() -&gt; Bool {\nstack.isEmpty\n}\n/* \u5165\u6808 */\nfunc push(num: Int) {\nstack.append(num)\n}\n/* \u51fa\u6808 */\n@discardableResult\nfunc pop() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn stack.removeLast()\n}\n/* \u8bbf\u95ee\u6808\u9876\u5143\u7d20 */\nfunc peek() -&gt; Int {\nif isEmpty() {\nfatalError(\"\u6808\u4e3a\u7a7a\")\n}\nreturn stack.last!\n}\n/* \u5c06 List \u8f6c\u5316\u4e3a Array \u5e76\u8fd4\u56de */\nfunc toArray() -&gt; [Int] {\nstack\n}\n}\n</code></pre> array_stack.zig<pre><code>// \u57fa\u4e8e\u6570\u7ec4\u5b9e\u73b0\u7684\u6808\nfn ArrayStack(comptime T: type) type {\nreturn struct {\nconst Self = @This();\nstack: ?std.ArrayList(T) = null,     // \u6784\u9020\u65b9\u6cd5\uff08\u5206\u914d\u5185\u5b58+\u521d\u59cb\u5316\u6808\uff09\npub fn init(self: *Self, allocator: std.mem.Allocator) void {\nif (self.stack == null) {\nself.stack = std.ArrayList(T).init(allocator);\n}\n}\n// \u6790\u6784\u65b9\u6cd5\uff08\u91ca\u653e\u5185\u5b58\uff09\npub fn deinit(self: *Self) void {\nif (self.stack == null) return;\nself.stack.?.deinit();\n}\n// \u83b7\u53d6\u6808\u7684\u957f\u5ea6\npub fn size(self: *Self) usize {\nreturn self.stack.?.items.len;\n}\n// \u5224\u65ad\u6808\u662f\u5426\u4e3a\u7a7a\npub fn isEmpty(self: *Self) bool {\nreturn self.size() == 0;\n}\n// \u8bbf\u95ee\u6808\u9876\u5143\u7d20\npub fn peek(self: *Self) T {\nif (self.isEmpty()) @panic(\"\u6808\u4e3a\u7a7a\");\nreturn self.stack.?.items[self.size() - 1];\n}  // \u5165\u6808\npub fn push(self: *Self, num: T) !void {\ntry self.stack.?.append(num);\n} // \u51fa\u6808\npub fn pop(self: *Self) T {\nvar num = self.stack.?.pop();\nreturn num;\n} // \u8fd4\u56de ArrayList\npub fn toList(self: *Self) std.ArrayList(T) {\nreturn self.stack.?;\n}\n};\n}\n</code></pre>"},{"location":"chapter_stack_and_queue/stack/#513","title":"5.1.3. \u4e24\u79cd\u5b9e\u73b0\u5bf9\u6bd4","text":""},{"location":"chapter_stack_and_queue/stack/#_3","title":"\u652f\u6301\u64cd\u4f5c","text":"<p>\u4e24\u79cd\u5b9e\u73b0\u90fd\u652f\u6301\u6808\u5b9a\u4e49\u4e2d\u7684\u5404\u9879\u64cd\u4f5c\uff0c\u6570\u7ec4\u5b9e\u73b0\u989d\u5916\u652f\u6301\u968f\u673a\u8bbf\u95ee\uff0c\u4f46\u8fd9\u5df2\u7ecf\u8d85\u51fa\u6808\u7684\u5b9a\u4e49\u8303\u7574\uff0c\u4e00\u822c\u4e0d\u4f1a\u7528\u5230\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#_4","title":"\u65f6\u95f4\u6548\u7387","text":"<p>\u5728\u6570\u7ec4\uff08\u5217\u8868\uff09\u5b9e\u73b0\u4e2d\uff0c\u5165\u6808\u4e0e\u51fa\u6808\u64cd\u4f5c\u90fd\u662f\u5728\u9884\u5148\u5206\u914d\u597d\u7684\u8fde\u7eed\u5185\u5b58\u4e2d\u64cd\u4f5c\uff0c\u5177\u6709\u5f88\u597d\u7684\u7f13\u5b58\u672c\u5730\u6027\uff0c\u6548\u7387\u5f88\u597d\u3002\u7136\u800c\uff0c\u5982\u679c\u5165\u6808\u65f6\u8d85\u51fa\u6570\u7ec4\u5bb9\u91cf\uff0c\u5219\u4f1a\u89e6\u53d1\u6269\u5bb9\u673a\u5236\uff0c\u90a3\u4e48\u8be5\u6b21\u5165\u6808\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O(n)\\) \u3002</p> <p>\u5728\u94fe\u8868\u5b9e\u73b0\u4e2d\uff0c\u94fe\u8868\u7684\u6269\u5bb9\u975e\u5e38\u7075\u6d3b\uff0c\u4e0d\u5b58\u5728\u4e0a\u8ff0\u6570\u7ec4\u6269\u5bb9\u65f6\u53d8\u6162\u7684\u95ee\u9898\u3002\u7136\u800c\uff0c\u5165\u6808\u64cd\u4f5c\u9700\u8981\u521d\u59cb\u5316\u7ed3\u70b9\u5bf9\u8c61\u5e76\u4fee\u6539\u6307\u9488\uff0c\u56e0\u800c\u6548\u7387\u4e0d\u5982\u6570\u7ec4\u3002\u8fdb\u4e00\u6b65\u5730\u601d\u8003\uff0c\u5982\u679c\u5165\u6808\u5143\u7d20\u4e0d\u662f <code>int</code> \u800c\u662f\u7ed3\u70b9\u5bf9\u8c61\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u7701\u53bb\u521d\u59cb\u5316\u6b65\u9aa4\uff0c\u4ece\u800c\u63d0\u5347\u6548\u7387\u3002</p> <p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u5f53\u5165\u6808\u4e0e\u51fa\u6808\u64cd\u4f5c\u7684\u5143\u7d20\u662f\u57fa\u672c\u6570\u636e\u7c7b\u578b\uff08\u4f8b\u5982 <code>int</code> , <code>double</code> \uff09\u65f6\uff0c\u5219\u7ed3\u8bba\u5982\u4e0b\uff1a</p> <ul> <li>\u6570\u7ec4\u5b9e\u73b0\u7684\u6808\u5728\u89e6\u53d1\u6269\u5bb9\u65f6\u4f1a\u53d8\u6162\uff0c\u4f46\u7531\u4e8e\u6269\u5bb9\u662f\u4f4e\u9891\u64cd\u4f5c\uff0c\u56e0\u6b64 \u603b\u4f53\u6548\u7387\u66f4\u9ad8\uff1b</li> <li>\u94fe\u8868\u5b9e\u73b0\u7684\u6808\u53ef\u4ee5\u63d0\u4f9b \u66f4\u52a0\u7a33\u5b9a\u7684\u6548\u7387\u8868\u73b0\uff1b</li> </ul>"},{"location":"chapter_stack_and_queue/stack/#_5","title":"\u7a7a\u95f4\u6548\u7387","text":"<p>\u5728\u521d\u59cb\u5316\u5217\u8868\u65f6\uff0c\u7cfb\u7edf\u4f1a\u7ed9\u5217\u8868\u5206\u914d\u201c\u521d\u59cb\u5bb9\u91cf\u201d\uff0c\u8be5\u5bb9\u91cf\u53ef\u80fd\u8d85\u8fc7\u6211\u4eec\u7684\u9700\u6c42\u3002\u5e76\u4e14\u6269\u5bb9\u673a\u5236\u4e00\u822c\u662f\u6309\u7167\u7279\u5b9a\u500d\u7387\uff08\u6bd4\u5982 2 \u500d\uff09\u8fdb\u884c\u6269\u5bb9\uff0c\u6269\u5bb9\u540e\u7684\u5bb9\u91cf\u4e5f\u53ef\u80fd\u8d85\u51fa\u6211\u4eec\u7684\u9700\u6c42\u3002\u56e0\u6b64\uff0c\u6570\u7ec4\u5b9e\u73b0\u6808\u4f1a\u9020\u6210\u4e00\u5b9a\u7684\u7a7a\u95f4\u6d6a\u8d39\u3002</p> <p>\u5f53\u7136\uff0c\u7531\u4e8e\u7ed3\u70b9\u9700\u8981\u989d\u5916\u5b58\u50a8\u6307\u9488\uff0c\u56e0\u6b64 \u94fe\u8868\u7ed3\u70b9\u6bd4\u6570\u7ec4\u5143\u7d20\u5360\u7528\u66f4\u5927\u3002</p> <p>\u7efc\u4e0a\uff0c\u6211\u4eec\u4e0d\u80fd\u7b80\u5355\u5730\u786e\u5b9a\u54ea\u79cd\u5b9e\u73b0\u66f4\u52a0\u7701\u5185\u5b58\uff0c\u9700\u8981 case-by-case \u5730\u5206\u6790\u3002</p>"},{"location":"chapter_stack_and_queue/stack/#514","title":"5.1.4. \u6808\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u6d4f\u89c8\u5668\u4e2d\u7684\u540e\u9000\u4e0e\u524d\u8fdb\u3001\u8f6f\u4ef6\u4e2d\u7684\u64a4\u9500\u4e0e\u53cd\u64a4\u9500\u3002\u6bcf\u5f53\u6211\u4eec\u6253\u5f00\u65b0\u7684\u7f51\u9875\uff0c\u6d4f\u89c8\u5668\u5c31\u5c06\u4e0a\u4e00\u4e2a\u7f51\u9875\u6267\u884c\u5165\u6808\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u300c\u540e\u9000\u300d\u64cd\u4f5c\u6765\u56de\u5230\u4e0a\u4e00\u9875\u9762\uff0c\u540e\u9000\u64cd\u4f5c\u5b9e\u9645\u4e0a\u662f\u5728\u6267\u884c\u51fa\u6808\u3002\u5982\u679c\u8981\u540c\u65f6\u652f\u6301\u540e\u9000\u548c\u524d\u8fdb\uff0c\u90a3\u4e48\u5219\u9700\u8981\u4e24\u4e2a\u6808\u6765\u914d\u5408\u5b9e\u73b0\u3002</li> <li>\u7a0b\u5e8f\u5185\u5b58\u7ba1\u7406\u3002\u6bcf\u5f53\u8c03\u7528\u51fd\u6570\u65f6\uff0c\u7cfb\u7edf\u5c31\u4f1a\u5728\u6808\u9876\u6dfb\u52a0\u4e00\u4e2a\u6808\u5e27\uff0c\u7528\u6765\u8bb0\u5f55\u51fd\u6570\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\u3002\u5728\u9012\u5f52\u51fd\u6570\u4e2d\uff0c\u5411\u4e0b\u9012\u63a8\u4f1a\u4e0d\u65ad\u6267\u884c\u5165\u6808\uff0c\u5411\u4e0a\u56de\u6eaf\u9636\u6bb5\u65f6\u51fa\u6808\u3002</li> </ul>"},{"location":"chapter_stack_and_queue/summary/","title":"5.4. \u5c0f\u7ed3","text":"<ul> <li>\u6808\u662f\u4e00\u79cd\u9075\u5faa\u5148\u5165\u540e\u51fa\u7684\u6570\u636e\u7ed3\u6784\uff0c\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u6216\u94fe\u8868\u5b9e\u73b0\u3002</li> <li>\u5728\u65f6\u95f4\u6548\u7387\u65b9\u9762\uff0c\u6808\u7684\u6570\u7ec4\u5b9e\u73b0\u5177\u6709\u66f4\u597d\u7684\u5e73\u5747\u6548\u7387\uff0c\u4f46\u6269\u5bb9\u65f6\u4f1a\u5bfc\u81f4\u5355\u6b21\u5165\u6808\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \u3002\u76f8\u5bf9\u5730\uff0c\u6808\u7684\u94fe\u8868\u5b9e\u73b0\u5177\u6709\u66f4\u52a0\u7a33\u5b9a\u7684\u6548\u7387\u8868\u73b0\u3002</li> <li>\u5728\u7a7a\u95f4\u6548\u7387\u65b9\u9762\uff0c\u6808\u7684\u6570\u7ec4\u5b9e\u73b0\u4f1a\u9020\u6210\u4e00\u5b9a\u7a7a\u95f4\u6d6a\u8d39\uff0c\u7136\u800c\u94fe\u8868\u7ed3\u70b9\u6bd4\u6570\u7ec4\u5143\u7d20\u5360\u7528\u5185\u5b58\u66f4\u5927\u3002</li> <li>\u961f\u5217\u662f\u4e00\u79cd\u9075\u5faa\u5148\u5165\u5148\u51fa\u7684\u6570\u636e\u7ed3\u6784\uff0c\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u6216\u94fe\u8868\u5b9e\u73b0\u3002\u5bf9\u4e8e\u4e24\u79cd\u5b9e\u73b0\u7684\u65f6\u95f4\u6548\u7387\u4e0e\u7a7a\u95f4\u6548\u7387\u5bf9\u6bd4\uff0c\u4e0e\u4e0a\u8ff0\u6808\u7684\u7ed3\u8bba\u76f8\u540c\u3002</li> <li>\u53cc\u5411\u961f\u5217\u7684\u4e24\u7aef\u90fd\u53ef\u4ee5\u6dfb\u52a0\u4e0e\u5220\u9664\u5143\u7d20\u3002</li> </ul>"},{"location":"chapter_tree/avl_tree/","title":"7.4. AVL \u6811 *","text":"<p>\u5728\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u7ae0\u8282\u4e2d\u63d0\u5230\uff0c\u5728\u8fdb\u884c\u591a\u6b21\u63d2\u5165\u4e0e\u5220\u9664\u64cd\u4f5c\u540e\uff0c\u4e8c\u53c9\u641c\u7d22\u6811\u53ef\u80fd\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\u3002\u6b64\u65f6\u6240\u6709\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4f1a\u7531 \\(O(\\log n)\\) \u52a3\u5316\u81f3 \\(O(n)\\) \u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6267\u884c\u4e24\u6b65\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u8be5\u4e8c\u53c9\u641c\u7d22\u6811\u5c31\u4f1a\u9000\u5316\u4e3a\u94fe\u8868\u3002</p> <p></p> <p>\u518d\u6bd4\u5982\uff0c\u5728\u4ee5\u4e0b\u5b8c\u7f8e\u4e8c\u53c9\u6811\u4e2d\u63d2\u5165\u4e24\u4e2a\u7ed3\u70b9\u540e\uff0c\u6811\u4e25\u91cd\u5411\u5de6\u504f\u659c\uff0c\u67e5\u627e\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u968f\u4e4b\u53d1\u751f\u52a3\u5316\u3002</p> <p></p> <p>G. M. Adelson-Velsky \u548c E. M. Landis \u5728\u5176 1962 \u5e74\u53d1\u8868\u7684\u8bba\u6587 \"An algorithm for the organization of information\" \u4e2d\u63d0\u51fa\u4e86\u300cAVL \u6811\u300d\u3002\u8bba\u6587\u4e2d\u63cf\u8ff0\u4e86\u4e00\u7cfb\u5217\u64cd\u4f5c\uff0c\u4f7f\u5f97\u5728\u4e0d\u65ad\u6dfb\u52a0\u4e0e\u5220\u9664\u7ed3\u70b9\u540e\uff0cAVL \u6811\u4ecd\u7136\u4e0d\u4f1a\u53d1\u751f\u9000\u5316\uff0c\u8fdb\u800c\u4f7f\u5f97\u5404\u79cd\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u80fd\u4fdd\u6301\u5728 \\(O(\\log n)\\) \u7ea7\u522b\u3002</p> <p>\u6362\u8a00\u4e4b\uff0c\u5728\u9891\u7e41\u589e\u5220\u67e5\u6539\u7684\u4f7f\u7528\u573a\u666f\u4e2d\uff0cAVL \u6811\u53ef\u59cb\u7ec8\u4fdd\u6301\u5f88\u9ad8\u7684\u6570\u636e\u589e\u5220\u67e5\u6539\u6548\u7387\uff0c\u5177\u6709\u5f88\u597d\u7684\u5e94\u7528\u4ef7\u503c\u3002</p>"},{"location":"chapter_tree/avl_tree/#741-avl","title":"7.4.1. AVL \u6811\u5e38\u89c1\u672f\u8bed","text":"<p>\u300cAVL \u6811\u300d\u65e2\u662f\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u53c8\u662f\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\uff0c\u540c\u65f6\u6ee1\u8db3\u8fd9\u4e24\u79cd\u4e8c\u53c9\u6811\u7684\u6240\u6709\u6027\u8d28\uff0c\u56e0\u6b64\u53c8\u88ab\u79f0\u4e3a\u300c\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u3002</p>"},{"location":"chapter_tree/avl_tree/#_1","title":"\u7ed3\u70b9\u9ad8\u5ea6","text":"<p>\u5728 AVL \u6811\u7684\u64cd\u4f5c\u4e2d\uff0c\u9700\u8981\u83b7\u53d6\u7ed3\u70b9\u300c\u9ad8\u5ea6 Height\u300d\uff0c\u6240\u4ee5\u7ed9 AVL \u6811\u7684\u7ed3\u70b9\u7c7b\u6dfb\u52a0 <code>height</code> \u53d8\u91cf\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\npublic int val; // \u7ed3\u70b9\u503c\npublic int height; // \u7ed3\u70b9\u9ad8\u5ea6\npublic TreeNode left; // \u5de6\u5b50\u7ed3\u70b9\npublic TreeNode right; // \u53f3\u5b50\u7ed3\u70b9\npublic TreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nstruct TreeNode {\nint val{};              // \u7ed3\u70b9\u503c\nint height = 0;         // \u7ed3\u70b9\u9ad8\u5ea6\nTreeNode *left{};       // \u5de6\u5b50\u7ed3\u70b9\nTreeNode *right{};      // \u53f3\u5b50\u7ed3\u70b9\nTreeNode() = default;\nexplicit TreeNode(int x) : val(x){}\n};\n</code></pre> <pre><code>\"\"\" AVL \u6811\u7ed3\u70b9\u7c7b \"\"\"\nclass TreeNode:\ndef __init__(self, val=None, left=None, right=None):\nself.val = val      # \u7ed3\u70b9\u503c\nself.height = 0     # \u7ed3\u70b9\u9ad8\u5ea6\nself.left = left    # \u5de6\u5b50\u7ed3\u70b9\u5f15\u7528\nself.right = right  # \u53f3\u5b50\u7ed3\u70b9\u5f15\u7528\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\ntype TreeNode struct {\nVal    int       // \u7ed3\u70b9\u503c\nHeight int       // \u7ed3\u70b9\u9ad8\u5ea6\nLeft   *TreeNode // \u5de6\u5b50\u7ed3\u70b9\u5f15\u7528\nRight  *TreeNode // \u53f3\u5b50\u7ed3\u70b9\u5f15\u7528\n}\n</code></pre> <pre><code>class TreeNode {\nval; // \u7ed3\u70b9\u503c\nheight; //\u7ed3\u70b9\u9ad8\u5ea6\nleft; // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nright; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nconstructor(val, left, right, height) {\nthis.val = val === undefined ? 0 : val;\nthis.height = height === undefined ? 0 : height;\nthis.left = left === undefined ? null : left;\nthis.right = right === undefined ? null : right;\n}\n}\n</code></pre> <pre><code>class TreeNode {\nval: number;            // \u7ed3\u70b9\u503c\nheight: number;         // \u7ed3\u70b9\u9ad8\u5ea6\nleft: TreeNode | null;  // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nright: TreeNode | null; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nconstructor(val?: number, height?: number, left?: TreeNode | null, right?: TreeNode | null) {\nthis.val = val === undefined ? 0 : val;\nthis.height = height === undefined ? 0 : height; this.left = left === undefined ? null : left; this.right = right === undefined ? null : right; }\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\npublic int val;          // \u7ed3\u70b9\u503c\npublic int height;       // \u7ed3\u70b9\u9ad8\u5ea6\npublic TreeNode? left;   // \u5de6\u5b50\u7ed3\u70b9\npublic TreeNode? right;  // \u53f3\u5b50\u7ed3\u70b9\npublic TreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* AVL \u6811\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar height: Int // \u7ed3\u70b9\u9ad8\u5ea6\nvar left: TreeNode? // \u5de6\u5b50\u7ed3\u70b9\nvar right: TreeNode? // \u53f3\u5b50\u7ed3\u70b9\ninit(x: Int) {\nval = x\nheight = 0\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u300c\u7ed3\u70b9\u9ad8\u5ea6\u300d\u662f\u6700\u8fdc\u53f6\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u7684\u8ddd\u79bb\uff0c\u5373\u8d70\u8fc7\u7684\u300c\u8fb9\u300d\u7684\u6570\u91cf\u3002\u9700\u8981\u7279\u522b\u6ce8\u610f\uff0c\u53f6\u7ed3\u70b9\u7684\u9ad8\u5ea6\u4e3a 0 \uff0c\u7a7a\u7ed3\u70b9\u7684\u9ad8\u5ea6\u4e3a -1\u3002\u6211\u4eec\u5c01\u88c5\u4e24\u4e2a\u5de5\u5177\u51fd\u6570\uff0c\u5206\u522b\u7528\u4e8e\u83b7\u53d6\u4e0e\u66f4\u65b0\u7ed3\u70b9\u7684\u9ad8\u5ea6\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(height(node.left), height(node.right)) + 1;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode* node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == nullptr ? -1 : node-&gt;height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode* node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode-&gt;height = max(height(node-&gt;left), height(node-&gt;right)) + 1;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 \"\"\"\ndef height(self, node: Optional[TreeNode]) -&gt; int:\n# \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nif node is not None:\nreturn node.height\nreturn -1\n\"\"\" \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 \"\"\"\ndef __update_height(self, node: Optional[TreeNode]):\n# \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = max([self.height(node.left), self.height(node.right)]) + 1\n</code></pre> avl_tree.go<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc (t *aVLTree) height(node *TreeNode) int {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nif node != nil {\nreturn node.Height\n}\nreturn -1\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc (t *aVLTree) updateHeight(node *TreeNode) {\nlh := t.height(node.Left)\nrh := t.height(node.Right)\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nif lh &gt; rh {\nnode.Height = lh + 1\n} else {\nnode.Height = rh + 1\n}\n}\n</code></pre> avl_tree.js<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nheight(node) {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node === null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nupdateHeight(node) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(this.height(node.left), this.height(node.right)) + 1;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nheight(node: TreeNode): number {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node === null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nupdateHeight(node: TreeNode): void {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.max(this.height(node.left), this.height(node.right)) + 1;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{height}\n[class]{aVLTree}-[func]{updateHeight}\n</code></pre> avl_tree.cs<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nint height(TreeNode? node)\n{\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn node == null ? -1 : node.height;\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nvoid updateHeight(TreeNode node)\n{\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.height = Math.Max(height(node.left), height(node.right)) + 1;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc height(node: TreeNode?) -&gt; Int {\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nnode == nil ? -1 : node!.height\n}\n/* \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6 */\nfunc updateHeight(node: TreeNode?) {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode?.height = max(height(node: node?.left), height(node: node?.right)) + 1\n}\n</code></pre> avl_tree.zig<pre><code>// \u83b7\u53d6\u7ed3\u70b9\u9ad8\u5ea6\nfn height(self: *Self, node: ?*inc.TreeNode(T)) i32 {\n_ = self;\n// \u7a7a\u7ed3\u70b9\u9ad8\u5ea6\u4e3a -1 \uff0c\u53f6\u7ed3\u70b9\u9ad8\u5ea6\u4e3a 0\nreturn if (node == null) -1 else node.?.height;\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nfn updateHeight(self: *Self, node: ?*inc.TreeNode(T)) void {\n// \u7ed3\u70b9\u9ad8\u5ea6\u7b49\u4e8e\u6700\u9ad8\u5b50\u6811\u9ad8\u5ea6 + 1\nnode.?.height = std.math.max(self.height(node.?.left), self.height(node.?.right)) + 1;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_2","title":"\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50","text":"<p>\u7ed3\u70b9\u7684\u300c\u5e73\u8861\u56e0\u5b50 Balance Factor\u300d\u662f \u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u9ad8\u5ea6\u51cf\u53bb\u53f3\u5b50\u6811\u9ad8\u5ea6\uff0c\u5e76\u5b9a\u4e49\u7a7a\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u4e3a 0 \u3002\u540c\u6837\u5730\uff0c\u6211\u4eec\u5c06\u83b7\u53d6\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u5c01\u88c5\u6210\u51fd\u6570\uff0c\u4ee5\u4fbf\u540e\u7eed\u4f7f\u7528\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node.left) - height(node.right);\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode* node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == nullptr) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node-&gt;left) - height(node-&gt;right);\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 \"\"\"\ndef balance_factor(self, node: Optional[TreeNode]) -&gt; int:\n# \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif node is None:\nreturn 0\n# \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn self.height(node.left) - self.height(node.right)\n</code></pre> avl_tree.go<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nfunc (t *aVLTree) balanceFactor(node *TreeNode) int {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif node == nil {\nreturn 0\n}\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn t.height(node.Left) - t.height(node.Right)\n}\n</code></pre> avl_tree.js<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nbalanceFactor(node) {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node === null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn this.height(node.left) - this.height(node.right);\n}\n</code></pre> avl_tree.ts<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nbalanceFactor(node: TreeNode): number {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node === null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn this.height(node.left) - this.height(node.right);\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{balanceFactor}\n</code></pre> avl_tree.cs<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nint balanceFactor(TreeNode? node)\n{\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node.left) - height(node.right);\n}\n</code></pre> avl_tree.swift<pre><code>/* \u83b7\u53d6\u5e73\u8861\u56e0\u5b50 */\nfunc balanceFactor(node: TreeNode?) -&gt; Int {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nguard let node = node else { return 0 }\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn height(node: node.left) - height(node: node.right)\n}\n</code></pre> avl_tree.zig<pre><code>// \u83b7\u53d6\u5e73\u8861\u56e0\u5b50\nfn balanceFactor(self: *Self, node: ?*inc.TreeNode(T)) i32 {\n// \u7a7a\u7ed3\u70b9\u5e73\u8861\u56e0\u5b50\u4e3a 0\nif (node == null) return 0;\n// \u7ed3\u70b9\u5e73\u8861\u56e0\u5b50 = \u5de6\u5b50\u6811\u9ad8\u5ea6 - \u53f3\u5b50\u6811\u9ad8\u5ea6\nreturn self.height(node.?.left) - self.height(node.?.right);\n}\n</code></pre> <p>Note</p> <p>\u8bbe\u5e73\u8861\u56e0\u5b50\u4e3a \\(f\\) \uff0c\u5219\u4e00\u68f5 AVL \u6811\u7684\u4efb\u610f\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u7686\u6ee1\u8db3 \\(-1 \\le f \\le 1\\) \u3002</p>"},{"location":"chapter_tree/avl_tree/#742-avl","title":"7.4.2. AVL \u6811\u65cb\u8f6c","text":"<p>AVL \u6811\u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e\u300c\u65cb\u8f6c Rotation\u300d\u7684\u64cd\u4f5c\uff0c\u5176\u53ef \u5728\u4e0d\u5f71\u54cd\u4e8c\u53c9\u6811\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u524d\u63d0\u4e0b\uff0c\u4f7f\u5931\u8861\u7ed3\u70b9\u91cd\u65b0\u6062\u590d\u5e73\u8861\u3002\u6362\u8a00\u4e4b\uff0c\u65cb\u8f6c\u64cd\u4f5c\u65e2\u53ef\u4ee5\u4f7f\u6811\u4fdd\u6301\u4e3a\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u6811\u91cd\u65b0\u6062\u590d\u4e3a\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\u3002</p> <p>\u6211\u4eec\u5c06\u5e73\u8861\u56e0\u5b50\u7684\u7edd\u5bf9\u503c \\(&gt; 1\\) \u7684\u7ed3\u70b9\u79f0\u4e3a\u300c\u5931\u8861\u7ed3\u70b9\u300d\u3002\u6839\u636e\u7ed3\u70b9\u7684\u5931\u8861\u60c5\u51b5\uff0c\u65cb\u8f6c\u64cd\u4f5c\u5206\u4e3a \u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u3001\u5148\u5de6\u65cb\u540e\u53f3\u65cb\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u6765\u4e00\u8d77\u6765\u770b\u770b\u5b83\u4eec\u662f\u5982\u4f55\u64cd\u4f5c\u7684\u3002</p>"},{"location":"chapter_tree/avl_tree/#case-1-","title":"Case 1 - \u53f3\u65cb","text":"<p>\u5982\u4e0b\u56fe\u6240\u793a\uff08\u7ed3\u70b9\u4e0b\u65b9\u4e3a\u300c\u5e73\u8861\u56e0\u5b50\u300d\uff09\uff0c\u4ece\u5e95\u81f3\u9876\u770b\uff0c\u4e8c\u53c9\u6811\u4e2d\u9996\u4e2a\u5931\u8861\u7ed3\u70b9\u662f \u7ed3\u70b9 3\u3002\u6211\u4eec\u805a\u7126\u5728\u4ee5\u8be5\u5931\u8861\u7ed3\u70b9\u4e3a\u6839\u7ed3\u70b9\u7684\u5b50\u6811\u4e0a\uff0c\u5c06\u8be5\u7ed3\u70b9\u8bb0\u4e3a <code>node</code> \uff0c\u5c06\u5176\u5de6\u5b50\u7ed3\u70b9\u8bb0\u4e3a <code>child</code> \uff0c\u6267\u884c\u300c\u53f3\u65cb\u300d\u64cd\u4f5c\u3002\u5b8c\u6210\u53f3\u65cb\u540e\uff0c\u8be5\u5b50\u6811\u5df2\u7ecf\u6062\u590d\u5e73\u8861\uff0c\u5e76\u4e14\u4ecd\u7136\u4e3a\u4e8c\u53c9\u641c\u7d22\u6811\u3002</p> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u8fdb\u800c\uff0c\u5982\u679c\u7ed3\u70b9 <code>child</code> \u672c\u8eab\u6709\u53f3\u5b50\u7ed3\u70b9\uff08\u8bb0\u4e3a <code>grandChild</code> \uff09\uff0c\u5219\u9700\u8981\u5728\u300c\u53f3\u65cb\u300d\u4e2d\u6dfb\u52a0\u4e00\u6b65\uff1a\u5c06 <code>grandChild</code> \u4f5c\u4e3a <code>node</code> \u7684\u5de6\u5b50\u7ed3\u70b9\u3002</p> <p></p> <p>\u201c\u5411\u53f3\u65cb\u8f6c\u201d\u662f\u4e00\u79cd\u5f62\u8c61\u5316\u7684\u8bf4\u6cd5\uff0c\u5b9e\u9645\u9700\u8981\u901a\u8fc7\u4fee\u6539\u7ed3\u70b9\u6307\u9488\u5b9e\u73b0\uff0c\u4ee3\u7801\u5982\u4e0b\u6240\u793a\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode rightRotate(TreeNode node) {\nTreeNode child = node.left;\nTreeNode grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode* rightRotate(TreeNode* node) {\nTreeNode* child = node-&gt;left;\nTreeNode* grandChild = child-&gt;right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild-&gt;right = node;\nnode-&gt;left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u53f3\u65cb\u64cd\u4f5c \"\"\"\ndef __right_rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\nchild = node.left\ngrand_child = child.right\n# \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node\nnode.left = grand_child\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\nself.__update_height(child)\n# \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n</code></pre> avl_tree.go<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nfunc (t *aVLTree) rightRotate(node *TreeNode) *TreeNode {\nchild := node.Left\ngrandChild := child.Right\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.Right = node\nnode.Left = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\nt.updateHeight(child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.js<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nrightRotate(node) {\nconst child = node.left;\nconst grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nrightRotate(node: TreeNode): TreeNode {\nconst child = node.left;\nconst grandChild = child.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{rightRotate}\n</code></pre> avl_tree.cs<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nTreeNode? rightRotate(TreeNode? node)\n{\nTreeNode? child = node.left;\nTreeNode? grandChild = child?.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.right = node;\nnode.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u53f3\u65cb\u64cd\u4f5c */\nfunc rightRotate(node: TreeNode?) -&gt; TreeNode? {\nlet child = node?.left\nlet grandChild = child?.right\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild?.right = node\nnode?.left = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node: node)\nupdateHeight(node: child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.zig<pre><code>// \u53f3\u65cb\u64cd\u4f5c\nfn rightRotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\nvar child = node.?.left;\nvar grandChild = child.?.right;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u53f3\u65cb\u8f6c\nchild.?.right = node;\nnode.?.left = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.updateHeight(node);\nself.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#case-2-","title":"Case 2 - \u5de6\u65cb","text":"<p>\u7c7b\u4f3c\u5730\uff0c\u5982\u679c\u5c06\u53d6\u4e0a\u8ff0\u5931\u8861\u4e8c\u53c9\u6811\u7684\u201c\u955c\u50cf\u201d\uff0c\u90a3\u4e48\u5219\u9700\u8981\u300c\u5de6\u65cb\u300d\u64cd\u4f5c\u3002</p> <p></p> <p>\u540c\u7406\uff0c\u82e5\u7ed3\u70b9 <code>child</code> \u672c\u8eab\u6709\u5de6\u5b50\u7ed3\u70b9\uff08\u8bb0\u4e3a <code>grandChild</code> \uff09\uff0c\u5219\u9700\u8981\u5728\u300c\u5de6\u65cb\u300d\u4e2d\u6dfb\u52a0\u4e00\u6b65\uff1a\u5c06 <code>grandChild</code> \u4f5c\u4e3a <code>node</code> \u7684\u53f3\u5b50\u7ed3\u70b9\u3002</p> <p></p> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u300c\u5de6\u65cb\u300d\u548c\u300c\u53f3\u65cb\u300d\u64cd\u4f5c\u662f\u955c\u50cf\u5bf9\u79f0\u7684\uff0c\u4e24\u8005\u5bf9\u5e94\u89e3\u51b3\u7684\u4e24\u79cd\u5931\u8861\u60c5\u51b5\u4e5f\u662f\u5bf9\u79f0\u7684\u3002\u6839\u636e\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u65b9\u4fbf\u5730\u4ece\u300c\u53f3\u65cb\u300d\u63a8\u5bfc\u51fa\u300c\u5de6\u65cb\u300d\u3002\u5177\u4f53\u5730\uff0c\u53ea\u9700\u5c06\u300c\u53f3\u65cb\u300d\u4ee3\u7801\u4e2d\u7684\u628a\u6240\u6709\u7684 <code>left</code> \u66ff\u6362\u4e3a <code>right</code> \u3001\u6240\u6709\u7684 <code>right</code> \u66ff\u6362\u4e3a <code>left</code> \uff0c\u5373\u53ef\u5f97\u5230\u300c\u5de6\u65cb\u300d\u4ee3\u7801\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode leftRotate(TreeNode node) {\nTreeNode child = node.right;\nTreeNode grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode* leftRotate(TreeNode* node) {\nTreeNode* child = node-&gt;right;\nTreeNode* grandChild = child-&gt;left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild-&gt;left = node;\nnode-&gt;right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u5de6\u65cb\u64cd\u4f5c \"\"\"\ndef __left_rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\nchild = node.right\ngrand_child = child.left\n# \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node\nnode.right = grand_child\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\nself.__update_height(child)\n# \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n</code></pre> avl_tree.go<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nfunc (t *aVLTree) leftRotate(node *TreeNode) *TreeNode {\nchild := node.Right\ngrandChild := child.Left\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.Left = node\nnode.Right = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\nt.updateHeight(child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.js<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nleftRotate(node) {\nconst child = node.right;\nconst grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nleftRotate(node: TreeNode): TreeNode {\nconst child = node.right;\nconst grandChild = child.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nthis.updateHeight(node);\nthis.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{leftRotate}\n</code></pre> avl_tree.cs<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nTreeNode? leftRotate(TreeNode? node)\n{\nTreeNode? child = node.right;\nTreeNode? grandChild = child?.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.left = node;\nnode.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node);\nupdateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u5de6\u65cb\u64cd\u4f5c */\nfunc leftRotate(node: TreeNode?) -&gt; TreeNode? {\nlet child = node?.right\nlet grandChild = child?.left\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild?.left = node\nnode?.right = grandChild\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nupdateHeight(node: node)\nupdateHeight(node: child)\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child\n}\n</code></pre> avl_tree.zig<pre><code>// \u5de6\u65cb\u64cd\u4f5c\nfn leftRotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\nvar child = node.?.right;\nvar grandChild = child.?.left;\n// \u4ee5 child \u4e3a\u539f\u70b9\uff0c\u5c06 node \u5411\u5de6\u65cb\u8f6c\nchild.?.left = node;\nnode.?.right = grandChild;\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.updateHeight(node);\nself.updateHeight(child);\n// \u8fd4\u56de\u65cb\u8f6c\u540e\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn child;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#case-3-","title":"Case 3 - \u5148\u5de6\u540e\u53f3","text":"<p>\u5bf9\u4e8e\u4e0b\u56fe\u7684\u5931\u8861\u7ed3\u70b9 3 \uff0c\u5355\u4e00\u4f7f\u7528\u5de6\u65cb\u6216\u53f3\u65cb\u90fd\u65e0\u6cd5\u4f7f\u5b50\u6811\u6062\u590d\u5e73\u8861\uff0c\u6b64\u65f6\u9700\u8981\u300c\u5148\u5de6\u65cb\u540e\u53f3\u65cb\u300d\uff0c\u5373\u5148\u5bf9 <code>child</code> \u6267\u884c\u300c\u5de6\u65cb\u300d\uff0c\u518d\u5bf9 <code>node</code> \u6267\u884c\u300c\u53f3\u65cb\u300d\u3002</p> <p></p>"},{"location":"chapter_tree/avl_tree/#case-4-","title":"Case 4 - \u5148\u53f3\u540e\u5de6","text":"<p>\u540c\u7406\uff0c\u53d6\u4ee5\u4e0a\u5931\u8861\u4e8c\u53c9\u6811\u7684\u955c\u50cf\uff0c\u5219\u9700\u8981\u300c\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u300d\uff0c\u5373\u5148\u5bf9 <code>child</code> \u6267\u884c\u300c\u53f3\u65cb\u300d\uff0c\u7136\u540e\u5bf9 <code>node</code> \u6267\u884c\u300c\u5de6\u65cb\u300d\u3002</p> <p></p>"},{"location":"chapter_tree/avl_tree/#_3","title":"\u65cb\u8f6c\u7684\u9009\u62e9","text":"<p>\u4e0b\u56fe\u63cf\u8ff0\u7684\u56db\u79cd\u5931\u8861\u60c5\u51b5\u4e0e\u4e0a\u8ff0 Cases \u9010\u4e2a\u5bf9\u5e94\uff0c\u5206\u522b\u9700\u91c7\u7528 \u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u540e\u5de6\u3001\u5148\u5de6\u540e\u53f3 \u7684\u65cb\u8f6c\u64cd\u4f5c\u3002</p> <p></p> <p>\u5177\u4f53\u5730\uff0c\u5728\u4ee3\u7801\u4e2d\u4f7f\u7528 \u5931\u8861\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u3001\u8f83\u9ad8\u4e00\u4fa7\u5b50\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u6765\u786e\u5b9a\u5931\u8861\u7ed3\u70b9\u5c5e\u4e8e\u4e0a\u56fe\u4e2d\u7684\u54ea\u79cd\u60c5\u51b5\u3002</p> \u5931\u8861\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u5b50\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50 \u5e94\u91c7\u7528\u7684\u65cb\u8f6c\u65b9\u6cd5 \\(&gt;0\\) \uff08\u5373\u5de6\u504f\u6811\uff09 \\(\\geq 0\\) \u53f3\u65cb \\(&gt;0\\) \uff08\u5373\u5de6\u504f\u6811\uff09 \\(&lt;0\\) \u5148\u5de6\u65cb\u540e\u53f3\u65cb \\(&lt;0\\) \uff08\u5373\u53f3\u504f\u6811\uff09 \\(\\leq 0\\) \u5de6\u65cb \\(&lt;0\\) \uff08\u5373\u53f3\u504f\u6811\uff09 \\(&gt;0\\) \u5148\u53f3\u65cb\u540e\u5de6\u65cb <p>\u4e3a\u65b9\u4fbf\u4f7f\u7528\uff0c\u6211\u4eec\u5c06\u65cb\u8f6c\u64cd\u4f5c\u5c01\u88c5\u6210\u4e00\u4e2a\u51fd\u6570\u3002\u81f3\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6b64\u51fd\u6570\u6765\u65cb\u8f6c\u5404\u79cd\u5931\u8861\u60c5\u51b5\uff0c\u4f7f\u5931\u8861\u7ed3\u70b9\u91cd\u65b0\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode rotate(TreeNode node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint balanceFactor = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = leftRotate(node.left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = rightRotate(node.right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode* rotate(TreeNode* node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint _balanceFactor = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (_balanceFactor &gt; 1) {\nif (balanceFactor(node-&gt;left) &gt;= 0) {\n// \u53f3\u65cb\nreturn rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode-&gt;left = leftRotate(node-&gt;left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (_balanceFactor &lt; -1) {\nif (balanceFactor(node-&gt;right) &lt;= 0) {\n// \u5de6\u65cb\nreturn leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode-&gt;right = rightRotate(node-&gt;right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 \"\"\"\ndef __rotate(self, node: Optional[TreeNode]) -&gt; TreeNode:\n# \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nbalance_factor = self.balance_factor(node)\n# \u5de6\u504f\u6811\nif balance_factor &gt; 1:\nif self.balance_factor(node.left) &gt;= 0:\n# \u53f3\u65cb\nreturn self.__right_rotate(node)\nelse:\n# \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = self.__left_rotate(node.left)\nreturn self.__right_rotate(node)\n# \u53f3\u504f\u6811\nelif balance_factor &lt; -1:\nif self.balance_factor(node.right) &lt;= 0:\n# \u5de6\u65cb\nreturn self.__left_rotate(node)\nelse:\n# \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = self.__right_rotate(node.right)\nreturn self.__left_rotate(node)\n# \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n</code></pre> avl_tree.go<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nfunc (t *aVLTree) rotate(node *TreeNode) *TreeNode {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\n// Go \u63a8\u8350\u77ed\u53d8\u91cf\uff0c\u8fd9\u91cc bf \u6307\u4ee3 t.balanceFactor\nbf := t.balanceFactor(node)\n// \u5de6\u504f\u6811\nif bf &gt; 1 {\nif t.balanceFactor(node.Left) &gt;= 0 {\n// \u53f3\u65cb\nreturn t.rightRotate(node)\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.Left = t.leftRotate(node.Left)\nreturn t.rightRotate(node)\n}\n}\n// \u53f3\u504f\u6811\nif bf &lt; -1 {\nif t.balanceFactor(node.Right) &lt;= 0 {\n// \u5de6\u65cb\nreturn t.leftRotate(node)\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.Right = t.rightRotate(node.Right)\nreturn t.leftRotate(node)\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nrotate(node) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nconst balanceFactor = this.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (this.balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn this.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = this.leftRotate(node.left);\nreturn this.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (this.balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn this.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = this.rightRotate(node.right);\nreturn this.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nrotate(node: TreeNode): TreeNode {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nconst balanceFactor = this.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactor &gt; 1) {\nif (this.balanceFactor(node.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn this.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = this.leftRotate(node.left);\nreturn this.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactor &lt; -1) {\nif (this.balanceFactor(node.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn this.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = this.rightRotate(node.right);\nreturn this.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{rotate}\n</code></pre> avl_tree.cs<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nTreeNode? rotate(TreeNode? node)\n{\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nint balanceFactorInt = balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balanceFactorInt &gt; 1)\n{\nif (balanceFactor(node.left) &gt;= 0)\n{\n// \u53f3\u65cb\nreturn rightRotate(node);\n}\nelse\n{\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.left = leftRotate(node?.left);\nreturn rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balanceFactorInt &lt; -1)\n{\nif (balanceFactor(node.right) &lt;= 0)\n{\n// \u5de6\u65cb\nreturn leftRotate(node);\n}\nelse\n{\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.right = rightRotate(node?.right);\nreturn leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nfunc rotate(node: TreeNode?) -&gt; TreeNode? {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nlet balanceFactor = balanceFactor(node: node)\n// \u5de6\u504f\u6811\nif balanceFactor &gt; 1 {\nif self.balanceFactor(node: node?.left) &gt;= 0 {\n// \u53f3\u65cb\nreturn rightRotate(node: node)\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode?.left = leftRotate(node: node?.left)\nreturn rightRotate(node: node)\n}\n}\n// \u53f3\u504f\u6811\nif balanceFactor &lt; -1 {\nif self.balanceFactor(node: node?.right) &lt;= 0 {\n// \u5de6\u65cb\nreturn leftRotate(node: node)\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode?.right = rightRotate(node: node?.right)\nreturn leftRotate(node: node)\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nfn rotate(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n// \u83b7\u53d6\u7ed3\u70b9 node \u7684\u5e73\u8861\u56e0\u5b50\nvar balance_factor = self.balanceFactor(node);\n// \u5de6\u504f\u6811\nif (balance_factor &gt; 1) {\nif (self.balanceFactor(node.?.left) &gt;= 0) {\n// \u53f3\u65cb\nreturn self.rightRotate(node);\n} else {\n// \u5148\u5de6\u65cb\u540e\u53f3\u65cb\nnode.?.left = self.leftRotate(node.?.left);\nreturn self.rightRotate(node);\n}\n}\n// \u53f3\u504f\u6811\nif (balance_factor &lt; -1) {\nif (self.balanceFactor(node.?.right) &lt;= 0) {\n// \u5de6\u65cb\nreturn self.leftRotate(node);\n} else {\n// \u5148\u53f3\u65cb\u540e\u5de6\u65cb\nnode.?.right = self.rightRotate(node.?.right);\nreturn self.leftRotate(node);\n}\n}\n// \u5e73\u8861\u6811\uff0c\u65e0\u9700\u65cb\u8f6c\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#743-avl","title":"7.4.3. AVL \u6811\u5e38\u7528\u64cd\u4f5c","text":""},{"location":"chapter_tree/avl_tree/#_4","title":"\u63d2\u5165\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u7684\u7ed3\u70b9\u63d2\u5165\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u4e3b\u4f53\u7c7b\u4f3c\u3002\u4e0d\u540c\u7684\u662f\uff0c\u5728\u63d2\u5165\u7ed3\u70b9\u540e\uff0c\u4ece\u8be5\u7ed3\u70b9\u5230\u6839\u7ed3\u70b9\u7684\u8def\u5f84\u4e0a\u4f1a\u51fa\u73b0\u4e00\u7cfb\u5217\u300c\u5931\u8861\u7ed3\u70b9\u300d\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u9700\u8981\u4ece\u8be5\u7ed3\u70b9\u5f00\u59cb\uff0c\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6240\u6709\u5931\u8861\u7ed3\u70b9\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode insert(int val) {\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode insertHelper(TreeNode node, int val) {\nif (node == null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val)\nnode.left = insertHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = insertHelper(node.right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode* insert(int val) {\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode* insertHelper(TreeNode* node, int val) {\nif (node == nullptr) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node-&gt;val)\nnode-&gt;left = insertHelper(node-&gt;left, val);\nelse if (val &gt; node-&gt;val)\nnode-&gt;right = insertHelper(node-&gt;right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u63d2\u5165\u7ed3\u70b9 \"\"\"\ndef insert(self, val) -&gt; TreeNode:\nself.root = self.__insert_helper(self.root, val)\nreturn self.root\n\"\"\" \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\"\"\"\ndef __insert_helper(self, node: Optional[TreeNode], val: int) -&gt; TreeNode:\nif node is None:\nreturn TreeNode(val)\n# 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9\nif val &lt; node.val:\nnode.left = self.__insert_helper(node.left, val)\nelif val &gt; node.val:\nnode.right = self.__insert_helper(node.right, val)\nelse:\n# \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\n# 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nreturn self.__rotate(node)\n</code></pre> avl_tree.go<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc (t *aVLTree) insert(val int) *TreeNode {\nt.root = t.insertHelper(t.root, val)\nreturn t.root\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc (t *aVLTree) insertHelper(node *TreeNode, val int) *TreeNode {\nif node == nil {\nreturn NewTreeNode(val)\n}\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif val &lt; node.Val {\nnode.Left = t.insertHelper(node.Left, val)\n} else if val &gt; node.Val {\nnode.Right = t.insertHelper(node.Right, val)\n} else {\n// \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nreturn node\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = t.rotate(node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\ninsert(val) {\nthis.root = this.insertHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\ninsertHelper(node, val) {\nif (node === null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val) node.left = this.insertHelper(node.left, val);\nelse if (val &gt; node.val) node.right = this.insertHelper(node.right, val);\nelse return node; // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\ninsert(val: number): TreeNode {\nthis.root = this.insertHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\ninsertHelper(node: TreeNode, val: number): TreeNode {\nif (node === null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val) {\nnode.left = this.insertHelper(node.left, val);\n} else if (val &gt; node.val) {\nnode.right = this.insertHelper(node.right, val);\n} else {\nreturn node; // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{insert}\n[class]{aVLTree}-[func]{insertHelper}\n</code></pre> avl_tree.cs<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode? insert(int val)\n{\nroot = insertHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode? insertHelper(TreeNode? node, int val)\n{\nif (node == null) return new TreeNode(val);\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif (val &lt; node.val)\nnode.left = insertHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = insertHelper(node.right, val);\nelse\nreturn node;     // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\n@discardableResult\nfunc insert(val: Int) -&gt; TreeNode? {\nroot = insertHelper(node: root, val: val)\nreturn root\n}\n/* \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc insertHelper(node: TreeNode?, val: Int) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn TreeNode(x: val)\n}\n/* 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9 */\nif val &lt; node!.val {\nnode?.left = insertHelper(node: node?.left, val: val)\n} else if val &gt; node!.val {\nnode?.right = insertHelper(node: node?.right, val: val)\n} else {\nreturn node // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nupdateHeight(node: node) // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node: node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u63d2\u5165\u7ed3\u70b9\nfn insert(self: *Self, val: T) !?*inc.TreeNode(T) {\nself.root = try self.insertHelper(self.root, val);\nreturn self.root;\n}\n// \u9012\u5f52\u63d2\u5165\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\nfn insertHelper(self: *Self, node_: ?*inc.TreeNode(T), val: T) !?*inc.TreeNode(T) {\nvar node = node_;\nif (node == null) {\nvar tmp_node = try self.mem_allocator.create(inc.TreeNode(T));\ntmp_node.init(val);\nreturn tmp_node;\n}\n// 1. \u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u5e76\u63d2\u5165\u7ed3\u70b9\nif (val &lt; node.?.val) {\nnode.?.left = try self.insertHelper(node.?.left, val);\n} else if (val &gt; node.?.val) {\nnode.?.right = try self.insertHelper(node.?.right, val);\n} else {\nreturn node;            // \u91cd\u590d\u7ed3\u70b9\u4e0d\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\n}\nself.updateHeight(node);    // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n// 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nnode = self.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_5","title":"\u5220\u9664\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u603b\u4f53\u76f8\u540c\u3002\u7c7b\u4f3c\u5730\uff0c\u5728\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u4e5f\u9700\u8981\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6240\u6709\u5931\u8861\u7ed3\u70b9\u6062\u590d\u5e73\u8861\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig avl_tree.java<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode remove(int val) {\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode removeHelper(TreeNode node, int val) {\nif (node == null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val)\nnode.left = removeHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = removeHelper(node.right, val);\nelse {\nif (node.left == null || node.right == null) {\nTreeNode child = node.left != null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null)\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse\nnode = child;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode temp = getInOrderNext(node.right);\nnode.right = removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode getInOrderNext(TreeNode node) {\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left != null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.cpp<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode* remove(int val) {\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode* removeHelper(TreeNode* node, int val) {\nif (node == nullptr) return nullptr;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node-&gt;val)\nnode-&gt;left = removeHelper(node-&gt;left, val);\nelse if (val &gt; node-&gt;val)\nnode-&gt;right = removeHelper(node-&gt;right, val);\nelse {\nif (node-&gt;left == nullptr || node-&gt;right == nullptr) {\nTreeNode* child = node-&gt;left != nullptr ? node-&gt;left : node-&gt;right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == nullptr) {\ndelete node;\nreturn nullptr;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse {\ndelete node;\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode* temp = getInOrderNext(node-&gt;right);\nnode-&gt;right = removeHelper(node-&gt;right, temp-&gt;val);\nnode-&gt;val = temp-&gt;val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode* getInOrderNext(TreeNode* node) {\nif (node == nullptr) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node-&gt;left != nullptr) {\nnode = node-&gt;left;\n}\nreturn node;\n}\n</code></pre> avl_tree.py<pre><code>\"\"\" \u5220\u9664\u7ed3\u70b9 \"\"\"\ndef remove(self, val: int):\nroot = self.__remove_helper(self.root, val)\nreturn root\n\"\"\" \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 \"\"\"\ndef __remove_helper(self, node: Optional[TreeNode], val: int) -&gt; Optional[TreeNode]:\nif node is None:\nreturn None\n# 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b\nif val &lt; node.val:\nnode.left = self.__remove_helper(node.left, val)\nelif val &gt; node.val:\nnode.right = self.__remove_helper(node.right, val)\nelse:\nif node.left is None or node.right is None:\nchild = node.left or node.right\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child is None:\nreturn None\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse:\nnode = child\nelse:  # \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\ntemp = self.__get_inorder_next(node.right)\nnode.right = self.__remove_helper(node.right, temp.val)\nnode.val = temp.val\n# \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nself.__update_height(node)\n# 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nreturn self.__rotate(node)\n\"\"\" \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 \"\"\"\ndef __get_inorder_next(self, node: Optional[TreeNode]) -&gt; Optional[TreeNode]:\nif node is None:\nreturn None\n# \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile node.left is not None:\nnode = node.left\nreturn node\n</code></pre> avl_tree.go<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunc (t *aVLTree) remove(val int) *TreeNode {\nroot := t.removeHelper(t.root, val)\nreturn root\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc (t *aVLTree) removeHelper(node *TreeNode, val int) *TreeNode {\nif node == nil {\nreturn nil\n}\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif val &lt; node.Val {\nnode.Left = t.removeHelper(node.Left, val)\n} else if val &gt; node.Val {\nnode.Right = t.removeHelper(node.Right, val)\n} else {\nif node.Left == nil || node.Right == nil {\nchild := node.Left\nif node.Right != nil {\nchild = node.Right\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child == nil {\nreturn nil\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nnode = child\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\ntemp := t.getInOrderNext(node.Right)\nnode.Right = t.removeHelper(node.Right, temp.Val)\nnode.Val = temp.Val\n}\n}\n// \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\nt.updateHeight(node)\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = t.rotate(node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc (t *aVLTree) getInOrderNext(node *TreeNode) *TreeNode {\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nfor node.Left != nil {\nnode = node.Left\n}\nreturn node\n}\n</code></pre> avl_tree.js<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nremove(val) {\nthis.root = this.removeHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nremoveHelper(node, val) {\nif (node === null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val) node.left = this.removeHelper(node.left, val);\nelse if (val &gt; node.val) node.right = this.removeHelper(node.right, val);\nelse {\nif (node.left === null || node.right === null) {\nconst child = node.left !== null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child === null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse node = child;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nconst temp = this.getInOrderNext(node.right);\nnode.right = this.removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\ngetInOrderNext(node) {\nif (node === null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left !== null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.ts<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nremove(val: number): TreeNode {\nthis.root = this.removeHelper(this.root, val);\nreturn this.root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nremoveHelper(node: TreeNode, val: number): TreeNode {\nif (node === null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val) {\nnode.left = this.removeHelper(node.left, val);\n} else if (val &gt; node.val) {\nnode.right = this.removeHelper(node.right, val);\n} else {\nif (node.left === null || node.right === null) {\nconst child = node.left !== null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child === null) {\nreturn null;\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nconst temp = this.getInOrderNext(node.right);\nnode.right = this.removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nthis.updateHeight(node); // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = this.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\ngetInOrderNext(node: TreeNode): TreeNode {\nif (node === null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left !== null) {\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.c<pre><code>[class]{aVLTree}-[func]{remove}\n[class]{aVLTree}-[func]{removeHelper}\n[class]{aVLTree}-[func]{getInOrderNext}\n</code></pre> avl_tree.cs<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode? remove(int val)\n{\nroot = removeHelper(root, val);\nreturn root;\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nTreeNode? removeHelper(TreeNode? node, int val)\n{\nif (node == null) return null;\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif (val &lt; node.val)\nnode.left = removeHelper(node.left, val);\nelse if (val &gt; node.val)\nnode.right = removeHelper(node.right, val);\nelse\n{\nif (node.left == null || node.right == null)\n{\nTreeNode? child = node.left != null ? node.left : node.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null)\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse\nnode = child;\n}\nelse\n{\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nTreeNode? temp = getInOrderNext(node.right);\nnode.right = removeHelper(node.right, temp.val);\nnode.val = temp.val;\n}\n}\nupdateHeight(node);  // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode? getInOrderNext(TreeNode? node)\n{\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.left != null)\n{\nnode = node.left;\n}\nreturn node;\n}\n</code></pre> avl_tree.swift<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\n@discardableResult\nfunc remove(val: Int) -&gt; TreeNode? {\nroot = removeHelper(node: root, val: val)\nreturn root\n}\n/* \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09 */\nfunc removeHelper(node: TreeNode?, val: Int) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn nil\n}\n/* 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b */\nif val &lt; node!.val {\nnode?.left = removeHelper(node: node?.left, val: val)\n} else if val &gt; node!.val {\nnode?.right = removeHelper(node: node?.right, val: val)\n} else {\nif node?.left == nil || node?.right == nil {\nlet child = node?.left != nil ? node?.left : node?.right\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif child == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\nelse {\nnode = child\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nlet temp = getInOrderNext(node: node?.right)\nnode?.right = removeHelper(node: node?.right, val: temp!.val)\nnode?.val = temp!.val\n}\n}\nupdateHeight(node: node) // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n/* 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861 */\nnode = rotate(node: node)\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc getInOrderNext(node: TreeNode?) -&gt; TreeNode? {\nvar node = node\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile node?.left != nil {\nnode = node?.left\n}\nreturn node\n}\n</code></pre> avl_tree.zig<pre><code>// \u5220\u9664\u7ed3\u70b9\nfn remove(self: *Self, val: T) ?*inc.TreeNode(T) {\nself.root = self.removeHelper(self.root, val);\nreturn self.root;\n}\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9\uff08\u8f85\u52a9\u65b9\u6cd5\uff09\nfn removeHelper(self: *Self, node_: ?*inc.TreeNode(T), val: T) ?*inc.TreeNode(T) {\nvar node = node_;\nif (node == null) return null;\n// 1. \u67e5\u627e\u7ed3\u70b9\uff0c\u5e76\u5220\u9664\u4e4b\nif (val &lt; node.?.val) {\nnode.?.left = self.removeHelper(node.?.left, val);\n} else if (val &gt; node.?.val) {\nnode.?.right = self.removeHelper(node.?.right, val);\n} else {\nif (node.?.left == null or node.?.right == null) {\nvar child = if (node.?.left != null) node.?.left else node.?.right;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 \uff0c\u76f4\u63a5\u5220\u9664 node \u5e76\u8fd4\u56de\nif (child == null) {\nreturn null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 1 \uff0c\u76f4\u63a5\u5220\u9664 node\n} else {\nnode = child;\n}\n} else {\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2 \uff0c\u5219\u5c06\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e2a\u7ed3\u70b9\u5220\u9664\uff0c\u5e76\u7528\u8be5\u7ed3\u70b9\u66ff\u6362\u5f53\u524d\u7ed3\u70b9\nvar temp = self.getInOrderNext(node.?.right);\nnode.?.right = self.removeHelper(node.?.right, temp.?.val);\nnode.?.val = temp.?.val;\n}\n}\nself.updateHeight(node);    // \u66f4\u65b0\u7ed3\u70b9\u9ad8\u5ea6\n// 2. \u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u8be5\u5b50\u6811\u91cd\u65b0\u6062\u590d\u5e73\u8861\nnode = self.rotate(node);\n// \u8fd4\u56de\u5b50\u6811\u7684\u6839\u7ed3\u70b9\nreturn node;\n}\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09\nfn getInOrderNext(self: *Self, node_: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n_ = self;\nvar node = node_;\nif (node == null) return node;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node.?.left != null) {\nnode = node.?.left;\n}\nreturn node;\n}\n</code></pre>"},{"location":"chapter_tree/avl_tree/#_6","title":"\u67e5\u627e\u7ed3\u70b9","text":"<p>\u300cAVL \u6811\u300d\u7684\u7ed3\u70b9\u67e5\u627e\u64cd\u4f5c\u4e0e\u300c\u4e8c\u53c9\u641c\u7d22\u6811\u300d\u4e00\u81f4\uff0c\u5728\u6b64\u4e0d\u518d\u8d58\u8ff0\u3002</p>"},{"location":"chapter_tree/avl_tree/#744-avl","title":"7.4.4. AVL \u6811\u5178\u578b\u5e94\u7528","text":"<ul> <li>\u7ec4\u7ec7\u5b58\u50a8\u5927\u578b\u6570\u636e\uff0c\u9002\u7528\u4e8e\u9ad8\u9891\u67e5\u627e\u3001\u4f4e\u9891\u589e\u5220\u573a\u666f\uff1b</li> <li>\u7528\u4e8e\u5efa\u7acb\u6570\u636e\u5e93\u4e2d\u7684\u7d22\u5f15\u7cfb\u7edf\uff1b</li> </ul> <p>\u4e3a\u4ec0\u4e48\u7ea2\u9ed1\u6811\u6bd4 AVL \u6811\u66f4\u53d7\u6b22\u8fce\uff1f</p> <p>\u7ea2\u9ed1\u6811\u7684\u5e73\u8861\u6761\u4ef6\u76f8\u5bf9\u5bbd\u677e\uff0c\u56e0\u6b64\u5728\u7ea2\u9ed1\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u6240\u9700\u7684\u65cb\u8f6c\u64cd\u4f5c\u76f8\u5bf9\u66f4\u5c11\uff0c\u7ed3\u70b9\u589e\u5220\u64cd\u4f5c\u76f8\u6bd4 AVL \u6811\u7684\u6548\u7387\u66f4\u9ad8\u3002</p>"},{"location":"chapter_tree/binary_search_tree/","title":"7.3. \u4e8c\u53c9\u641c\u7d22\u6811","text":"<p>\u300c\u4e8c\u53c9\u641c\u7d22\u6811 Binary Search Tree\u300d\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\uff1a</p> <ol> <li>\u5bf9\u4e8e\u6839\u7ed3\u70b9\uff0c\u5de6\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u503c \\(&lt;\\) \u6839\u7ed3\u70b9\u7684\u503c \\(&lt;\\) \u53f3\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u503c\uff1b</li> <li>\u4efb\u610f\u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u4e5f\u662f\u4e8c\u53c9\u641c\u7d22\u6811\uff0c\u5373\u4e5f\u6ee1\u8db3\u6761\u4ef6 <code>1.</code> \uff1b</li> </ol> <p></p>"},{"location":"chapter_tree/binary_search_tree/#731","title":"7.3.1. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u64cd\u4f5c","text":""},{"location":"chapter_tree/binary_search_tree/#_1","title":"\u67e5\u627e\u7ed3\u70b9","text":"<p>\u7ed9\u5b9a\u76ee\u6807\u7ed3\u70b9\u503c <code>num</code> \uff0c\u53ef\u4ee5\u6839\u636e\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6027\u8d28\u6765\u67e5\u627e\u3002\u6211\u4eec\u58f0\u660e\u4e00\u4e2a\u7ed3\u70b9 <code>cur</code> \uff0c\u4ece\u4e8c\u53c9\u6811\u7684\u6839\u7ed3\u70b9 <code>root</code> \u51fa\u53d1\uff0c\u5faa\u73af\u6bd4\u8f83\u7ed3\u70b9\u503c <code>cur.val</code> \u548c <code>num</code> \u4e4b\u95f4\u7684\u5927\u5c0f\u5173\u7cfb</p> <ul> <li>\u82e5 <code>cur.val &lt; num</code> \uff0c\u8bf4\u660e\u76ee\u6807\u7ed3\u70b9\u5728 <code>cur</code> \u7684\u53f3\u5b50\u6811\u4e2d\uff0c\u56e0\u6b64\u6267\u884c <code>cur = cur.right</code> \uff1b</li> <li>\u82e5 <code>cur.val &gt; num</code> \uff0c\u8bf4\u660e\u76ee\u6807\u7ed3\u70b9\u5728 <code>cur</code> \u7684\u5de6\u5b50\u6811\u4e2d\uff0c\u56e0\u6b64\u6267\u884c <code>cur = cur.left</code> \uff1b</li> <li>\u82e5 <code>cur.val = num</code> \uff0c\u8bf4\u660e\u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\u5e76\u8fd4\u56de\u8be5\u7ed3\u70b9\u5373\u53ef\uff1b</li> </ul> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u67e5\u627e\u64cd\u4f5c\u548c\u4e8c\u5206\u67e5\u627e\u7b97\u6cd5\u5982\u51fa\u4e00\u8f99\uff0c\u4e5f\u662f\u5728\u6bcf\u8f6e\u6392\u9664\u4e00\u534a\u60c5\u51b5\u3002\u5faa\u73af\u6b21\u6570\u6700\u591a\u4e3a\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\uff0c\u5f53\u4e8c\u53c9\u6811\u5e73\u8861\u65f6\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode search(int num) {\nTreeNode cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode* search(int num) {\nTreeNode* cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur-&gt;val &gt; num) cur = cur-&gt;left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u67e5\u627e\u7ed3\u70b9 \"\"\"\ndef search(self, num: int) -&gt; Optional[TreeNode]:\ncur = self.root\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur is not None:\n# \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur.val &lt; num:\ncur = cur.right\n# \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelif cur.val &gt; num:\ncur = cur.left\n# \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse:\nbreak\nreturn cur\n</code></pre> binary_search_tree.go<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) search(num int) *TreeNode {\nnode := bst.root\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor node != nil {\nif node.Val &lt; num {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nnode = node.Right\n} else if node.Val &gt; num {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nnode = node.Left\n} else {\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nbreak\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn node\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunction search(num) {\nlet cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunction search(num: number): TreeNode | null {\nlet cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\nif (cur.val &lt; num) {\ncur = cur.right; // \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else if (cur.val &gt; num) {\ncur = cur.left; // \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\nbreak; // \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{search}\n</code></pre> binary_search_tree.cs<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nTreeNode? search(int num)\n{\nTreeNode? cur = root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if (cur.val &gt; num) cur = cur.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse break;\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u67e5\u627e\u7ed3\u70b9 */\nfunc search(num: Int) -&gt; TreeNode? {\nvar cur = root\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse if cur!.val &gt; num {\ncur = cur?.left\n}\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nelse {\nbreak\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u67e5\u627e\u7ed3\u70b9\nfn search(self: *Self, num: T) ?*inc.TreeNode(T) {\nvar cur = self.root;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u76ee\u6807\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else if (cur.?.val &gt; num) {\ncur = cur.?.left;\n// \u627e\u5230\u76ee\u6807\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\n} else {\nbreak;\n}\n}\n// \u8fd4\u56de\u76ee\u6807\u7ed3\u70b9\nreturn cur;\n}\n</code></pre>"},{"location":"chapter_tree/binary_search_tree/#_2","title":"\u63d2\u5165\u7ed3\u70b9","text":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u5f85\u63d2\u5165\u5143\u7d20 <code>num</code> \uff0c\u4e3a\u4e86\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u201c\u5de6\u5b50\u6811 &lt; \u6839\u7ed3\u70b9 &lt; \u53f3\u5b50\u6811\u201d\u7684\u6027\u8d28\uff0c\u63d2\u5165\u64cd\u4f5c\u5206\u4e3a\u4e24\u6b65\uff1a</p> <ol> <li>\u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff1a\u4e0e\u67e5\u627e\u64cd\u4f5c\u7c7b\u4f3c\uff0c\u6211\u4eec\u4ece\u6839\u7ed3\u70b9\u51fa\u53d1\uff0c\u6839\u636e\u5f53\u524d\u7ed3\u70b9\u503c\u548c <code>num</code> \u7684\u5927\u5c0f\u5173\u7cfb\u5faa\u73af\u5411\u4e0b\u641c\u7d22\uff0c\u76f4\u5230\u8d8a\u8fc7\u53f6\u7ed3\u70b9\uff08\u904d\u5386\u5230 \\(\\text{null}\\) \uff09\u65f6\u8df3\u51fa\u5faa\u73af\uff1b</li> <li>\u5728\u8be5\u4f4d\u7f6e\u63d2\u5165\u7ed3\u70b9\uff1a\u521d\u59cb\u5316\u7ed3\u70b9 <code>num</code> \uff0c\u5c06\u8be5\u7ed3\u70b9\u653e\u5230 \\(\\text{null}\\) \u7684\u4f4d\u7f6e \uff1b</li> </ol> <p>\u4e8c\u53c9\u641c\u7d22\u6811\u4e0d\u5141\u8bb8\u5b58\u5728\u91cd\u590d\u7ed3\u70b9\uff0c\u5426\u5219\u5c06\u4f1a\u8fdd\u80cc\u5176\u5b9a\u4e49\u3002\u56e0\u6b64\u82e5\u5f85\u63d2\u5165\u7ed3\u70b9\u5728\u6811\u4e2d\u5df2\u7ecf\u5b58\u5728\uff0c\u5219\u4e0d\u6267\u884c\u63d2\u5165\uff0c\u76f4\u63a5\u8fd4\u56de\u5373\u53ef\u3002</p> <p></p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode insert(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode node = new TreeNode(num);\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode* insert(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == nullptr) return nullptr;\nTreeNode *cur = root, *pre = nullptr;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur-&gt;val == num) return nullptr;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur-&gt;left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode* node = new TreeNode(num);\nif (pre-&gt;val &lt; num) pre-&gt;right = node;\nelse pre-&gt;left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u63d2\u5165\u7ed3\u70b9 \"\"\"\ndef insert(self, num: int) -&gt; Optional[TreeNode]:\nroot = self.root\n# \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root is None:\nreturn None\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\ncur, pre = root, None\nwhile cur is not None:\n# \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif cur.val == num:\nreturn None\npre = cur\n# \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur.val &lt; num:\ncur = cur.right\n# \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse:\ncur = cur.left\n# \u63d2\u5165\u7ed3\u70b9 val\nnode = TreeNode(num)\nif pre.val &lt; num:\npre.right = node\nelse:\npre.left = node\nreturn node\n</code></pre> binary_search_tree.go<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) insert(num int) *TreeNode {\ncur := bst.root\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5f85\u63d2\u5165\u7ed3\u70b9\u4e4b\u524d\u7684\u7ed3\u70b9\u4f4d\u7f6e\nvar pre *TreeNode = nil\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor cur != nil {\nif cur.Val == num {\nreturn nil\n}\npre = cur\nif cur.Val &lt; num {\ncur = cur.Right\n} else {\ncur = cur.Left\n}\n}\n// \u63d2\u5165\u7ed3\u70b9\nnode := NewTreeNode(num)\nif pre.Val &lt; num {\npre.Right = node\n} else {\npre.Left = node\n}\nreturn cur\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunction insert(num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) return null;\nlet cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val === num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = new Tree.TreeNode(num);\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\nreturn node;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunction insert(num: number): TreeNode | null {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) {\nreturn null;\n}\nlet cur = root,\npre: TreeNode | null = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\nif (cur.val === num) {\nreturn null; // \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\n}\npre = cur;\nif (cur.val &lt; num) {\ncur = cur.right as TreeNode; // \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else {\ncur = cur.left as TreeNode; // \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = new TreeNode(num);\nif (pre!.val &lt; num) {\npre!.right = node;\n} else {\npre!.left = node;\n}\nreturn node;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{insert}\n</code></pre> binary_search_tree.cs<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nTreeNode? insert(int num)\n{\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode? cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nTreeNode node = new TreeNode(num);\nif (pre != null)\n{\nif (pre.val &lt; num) pre.right = node;\nelse pre.left = node;\n}\nreturn node;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u63d2\u5165\u7ed3\u70b9 */\nfunc insert(num: Int) -&gt; TreeNode? {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root == nil {\nreturn nil\n}\nvar cur = root\nvar pre: TreeNode?\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif cur!.val == num {\nreturn nil\n}\npre = cur\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse {\ncur = cur?.left\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nlet node = TreeNode(x: num)\nif pre!.val &lt; num {\npre?.right = node\n} else {\npre?.left = node\n}\nreturn node\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u63d2\u5165\u7ed3\u70b9\nfn insert(self: *Self, num: T) !?*inc.TreeNode(T) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (self.root == null) return null;\nvar cur = self.root;\nvar pre: ?*inc.TreeNode(T) = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u91cd\u590d\u7ed3\u70b9\uff0c\u76f4\u63a5\u8fd4\u56de\nif (cur.?.val == num) return null;\npre = cur;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u63d2\u5165\u4f4d\u7f6e\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\ncur = cur.?.left;\n}\n}\n// \u63d2\u5165\u7ed3\u70b9 val\nvar node = try self.mem_allocator.create(inc.TreeNode(T));\nnode.init(num);\nif (pre.?.val &lt; num) {\npre.?.right = node;\n} else {\npre.?.left = node;\n}\nreturn node;\n}\n</code></pre> <p>\u4e3a\u4e86\u63d2\u5165\u7ed3\u70b9\uff0c\u9700\u8981\u501f\u52a9 \u8f85\u52a9\u7ed3\u70b9 <code>pre</code> \u4fdd\u5b58\u4e0a\u4e00\u8f6e\u5faa\u73af\u7684\u7ed3\u70b9\uff0c\u8fd9\u6837\u5728\u904d\u5386\u5230 \\(\\text{null}\\) \u65f6\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u83b7\u53d6\u5230\u5176\u7236\u7ed3\u70b9\uff0c\u4ece\u800c\u5b8c\u6210\u7ed3\u70b9\u63d2\u5165\u64cd\u4f5c\u3002</p> <p>\u4e0e\u67e5\u627e\u7ed3\u70b9\u76f8\u540c\uff0c\u63d2\u5165\u7ed3\u70b9\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\u3002</p>"},{"location":"chapter_tree/binary_search_tree/#_3","title":"\u5220\u9664\u7ed3\u70b9","text":"<p>\u4e0e\u63d2\u5165\u7ed3\u70b9\u4e00\u6837\uff0c\u6211\u4eec\u9700\u8981\u5728\u5220\u9664\u64cd\u4f5c\u540e\u7ef4\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u201c\u5de6\u5b50\u6811 &lt; \u6839\u7ed3\u70b9 &lt; \u53f3\u5b50\u6811\u201d\u7684\u6027\u8d28\u3002\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u5728\u4e8c\u53c9\u6811\u4e2d\u6267\u884c\u67e5\u627e\u64cd\u4f5c\uff0c\u83b7\u53d6\u5f85\u5220\u9664\u7ed3\u70b9\u3002\u63a5\u4e0b\u6765\uff0c\u6839\u636e\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf\uff0c\u5220\u9664\u64cd\u4f5c\u9700\u8981\u5206\u4e3a\u4e09\u79cd\u60c5\u51b5\uff1a</p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 0\\) \u65f6\uff0c\u8868\u660e\u5f85\u5220\u9664\u7ed3\u70b9\u662f\u53f6\u7ed3\u70b9\uff0c\u76f4\u63a5\u5220\u9664\u5373\u53ef\u3002</p> <p></p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 1\\) \u65f6\uff0c\u5c06\u5f85\u5220\u9664\u7ed3\u70b9\u66ff\u6362\u4e3a\u5176\u5b50\u7ed3\u70b9\u5373\u53ef\u3002</p> <p></p> <p>\u5f53\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf \\(= 2\\) \u65f6\uff0c\u5220\u9664\u64cd\u4f5c\u5206\u4e3a\u4e09\u6b65\uff1a</p> <ol> <li>\u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\u5728 \u4e2d\u5e8f\u904d\u5386\u5e8f\u5217 \u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff0c\u8bb0\u4e3a <code>nex</code> \uff1b</li> <li>\u5728\u6811\u4e2d\u9012\u5f52\u5220\u9664\u7ed3\u70b9 <code>nex</code> \uff1b</li> <li>\u4f7f\u7528 <code>nex</code> \u66ff\u6362\u5f85\u5220\u9664\u7ed3\u70b9\uff1b</li> </ol> Step 1Step 2Step 3Step 4 <p></p> <p></p> <p></p> <p></p> <p>\u5220\u9664\u7ed3\u70b9\u64cd\u4f5c\u4e5f\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d\u67e5\u627e\u5f85\u5220\u9664\u7ed3\u70b9 \\(O(\\log n)\\) \uff0c\u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u540e\u7ee7\u7ed3\u70b9 \\(O(\\log n)\\) \u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_search_tree.java<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode remove(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left == null || cur.right == null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nTreeNode child = cur.left != null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left == cur) pre.left = child;\nelse pre.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode nex = getInOrderNext(cur.right);\nint tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode getInOrderNext(TreeNode root) {\nif (root == null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left != null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.cpp<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode* remove(int num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == nullptr) return nullptr;\nTreeNode *cur = root, *pre = nullptr;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != nullptr) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur-&gt;val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur-&gt;val &lt; num) cur = cur-&gt;right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur-&gt;left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == nullptr) return nullptr;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur-&gt;left == nullptr || cur-&gt;right == nullptr) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = nullptr / \u8be5\u5b50\u7ed3\u70b9\nTreeNode* child = cur-&gt;left != nullptr ? cur-&gt;left : cur-&gt;right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre-&gt;left == cur) pre-&gt;left = child;\nelse pre-&gt;right = child;\n// \u91ca\u653e\u5185\u5b58\ndelete cur;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode* nex = getInOrderNext(cur-&gt;right);\nint tmp = nex-&gt;val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex-&gt;val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur-&gt;val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode* getInOrderNext(TreeNode* root) {\nif (root == nullptr) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root-&gt;left != nullptr) {\nroot = root-&gt;left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.py<pre><code>\"\"\" \u5220\u9664\u7ed3\u70b9 \"\"\"\ndef remove(self, num: int) -&gt; Optional[TreeNode]:\nroot = self.root\n# \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root is None:\nreturn None\n# \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\ncur, pre = root, None\nwhile cur is not None:\n# \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif cur.val == num:\nbreak\npre = cur\nif cur.val &lt; num:  # \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\ncur = cur.right\nelse:  # \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\ncur = cur.left\n# \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur is None:\nreturn None\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif cur.left is None or cur.right is None:\n# \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nchild = cur.left or cur.right\n# \u5220\u9664\u7ed3\u70b9 cur\nif pre.left == cur:\npre.left = child\nelse:\npre.right = child\n# \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse:\n# \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nnex = self.get_inorder_next(cur.right)\ntmp = nex.val\n# \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nself.remove(nex.val)\n# \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp\nreturn cur\n\"\"\" \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 \"\"\"\ndef get_inorder_next(self, root: Optional[TreeNode]) -&gt; Optional[TreeNode]:\nif root is None:\nreturn root\n# \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile root.left is not None:\nroot = root.left\nreturn root\n</code></pre> binary_search_tree.go<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunc (bst *binarySearchTree) remove(num int) *TreeNode {\ncur := bst.root\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5f85\u5220\u9664\u7ed3\u70b9\u4e4b\u524d\u7684\u7ed3\u70b9\u4f4d\u7f6e\nvar pre *TreeNode = nil\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nfor cur != nil {\nif cur.Val == num {\nbreak\n}\npre = cur\nif cur.Val &lt; num {\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728\u53f3\u5b50\u6811\u4e2d\ncur = cur.Right\n} else {\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728\u5de6\u5b50\u6811\u4e2d\ncur = cur.Left\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u4e3a 0 \u6216 1\nif cur.Left == nil || cur.Right == nil {\nvar child *TreeNode = nil\n// \u53d6\u51fa\u5f85\u5220\u9664\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\nif cur.Left != nil {\nchild = cur.Left\n} else {\nchild = cur.Right\n}\n// \u5c06\u5b50\u7ed3\u70b9\u66ff\u6362\u4e3a\u5f85\u5220\u9664\u7ed3\u70b9\nif pre.Left == cur {\npre.Left = child\n} else {\npre.Right = child\n}\n// \u5b50\u7ed3\u70b9\u6570\u4e3a 2\n} else {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u5f85\u5220\u9664\u7ed3\u70b9 cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nnext := bst.getInOrderNext(cur)\ntemp := next.Val\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 next\nbst.remove(next.Val)\n// \u5c06 next \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.Val = temp\n}\nreturn cur\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc (bst *binarySearchTree) getInOrderNext(node *TreeNode) *TreeNode {\nif node == nil {\nreturn node\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nfor node.Left != nil {\nnode = node.Left\n}\nreturn node\n}\n</code></pre> binary_search_tree.js<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunction remove(num) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) return null;\nlet cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val === num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur === null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left === null || cur.right === null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur.left !== null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left === cur) pre.left = child;\nelse pre.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet nex = getInOrderNext(cur.right);\nlet tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunction getInOrderNext(root) {\nif (root === null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left !== null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.ts<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nfunction remove(num: number): TreeNode | null {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root === null) {\nreturn null;\n}\nlet cur = root,\npre: TreeNode | null = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur !== null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val === num) {\nbreak;\n}\npre = cur;\nif (cur.val &lt; num) {\ncur = cur.right as TreeNode; // \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\n} else {\ncur = cur.left as TreeNode; // \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur === null) {\nreturn null;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left === null || cur.right === null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur.left !== null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre!.left === cur) {\npre!.left = child;\n} else {\npre!.right = child;\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet next = getInOrderNext(cur.right);\nlet tmp = next!.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(next!.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunction getInOrderNext(root: TreeNode | null): TreeNode | null {\nif (root === null) {\nreturn null;\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left !== null) {\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.c<pre><code>[class]{binarySearchTree}-[func]{remove}\n[class]{binarySearchTree}-[func]{getInOrderNext}\n</code></pre> binary_search_tree.cs<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\nTreeNode? remove(int num)\n{\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (root == null) return null;\nTreeNode? cur = root, pre = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null)\n{\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.val &lt; num) cur = cur.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse cur = cur.left;\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null || pre == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.left == null || cur.right == null)\n{\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nTreeNode? child = cur.left != null ? cur.left : cur.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.left == cur)\n{\npre.left = child;\n}\nelse\n{\npre.right = child;\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse\n{\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nTreeNode? nex = getInOrderNext(cur.right);\nif (nex != null)\n{\nint tmp = nex.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(nex.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.val = tmp;\n}\n}\nreturn cur;\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nTreeNode? getInOrderNext(TreeNode? root)\n{\nif (root == null) return root;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (root.left != null)\n{\nroot = root.left;\n}\nreturn root;\n}\n</code></pre> binary_search_tree.swift<pre><code>/* \u5220\u9664\u7ed3\u70b9 */\n@discardableResult\nfunc remove(num: Int) -&gt; TreeNode? {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif root == nil {\nreturn nil\n}\nvar cur = root\nvar pre: TreeNode?\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile cur != nil {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif cur!.val == num {\nbreak\n}\npre = cur\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif cur!.val &lt; num {\ncur = cur?.right\n}\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\nelse {\ncur = cur?.left\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif cur == nil {\nreturn nil\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif cur?.left == nil || cur?.right == nil {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nlet child = cur?.left != nil ? cur?.left : cur?.right\n// \u5220\u9664\u7ed3\u70b9 cur\nif pre?.left === cur {\npre?.left = child\n} else {\npre?.right = child\n}\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\nelse {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nlet nex = getInOrderNext(root: cur?.right)\nlet tmp = nex!.val\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\nremove(num: nex!.val)\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur?.val = tmp\n}\nreturn cur\n}\n/* \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09 */\nfunc getInOrderNext(root: TreeNode?) -&gt; TreeNode? {\nvar root = root\nif root == nil {\nreturn root\n}\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile root?.left != nil {\nroot = root?.left\n}\nreturn root\n}\n</code></pre> binary_search_tree.zig<pre><code>// \u5220\u9664\u7ed3\u70b9\nfn remove(self: *Self, num: T) ?*inc.TreeNode(T) {\n// \u82e5\u6811\u4e3a\u7a7a\uff0c\u76f4\u63a5\u63d0\u524d\u8fd4\u56de\nif (self.root == null) return null;\nvar cur = self.root;\nvar pre: ?*inc.TreeNode(T) = null;\n// \u5faa\u73af\u67e5\u627e\uff0c\u8d8a\u8fc7\u53f6\u7ed3\u70b9\u540e\u8df3\u51fa\nwhile (cur != null) {\n// \u627e\u5230\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u8df3\u51fa\u5faa\u73af\nif (cur.?.val == num) break;\npre = cur;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u53f3\u5b50\u6811\u4e2d\nif (cur.?.val &lt; num) {\ncur = cur.?.right;\n// \u5f85\u5220\u9664\u7ed3\u70b9\u5728 cur \u7684\u5de6\u5b50\u6811\u4e2d\n} else {\ncur = cur.?.left;\n}\n}\n// \u82e5\u65e0\u5f85\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u8fd4\u56de\nif (cur == null) return null;\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 0 or 1\nif (cur.?.left == null or cur.?.right == null) {\n// \u5f53\u5b50\u7ed3\u70b9\u6570\u91cf = 0 / 1 \u65f6\uff0c child = null / \u8be5\u5b50\u7ed3\u70b9\nvar child = if (cur.?.left != null) cur.?.left else cur.?.right;\n// \u5220\u9664\u7ed3\u70b9 cur\nif (pre.?.left == cur) {\npre.?.left = child;\n} else {\npre.?.right = child;\n}\n// \u5b50\u7ed3\u70b9\u6570\u91cf = 2\n} else {\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d cur \u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\nvar nex = self.getInOrderNext(cur.?.right);\nvar tmp = nex.?.val;\n// \u9012\u5f52\u5220\u9664\u7ed3\u70b9 nex\n_ = self.remove(nex.?.val);\n// \u5c06 nex \u7684\u503c\u590d\u5236\u7ed9 cur\ncur.?.val = tmp;\n}\nreturn cur;\n}\n// \u83b7\u53d6\u4e2d\u5e8f\u904d\u5386\u4e2d\u7684\u4e0b\u4e00\u4e2a\u7ed3\u70b9\uff08\u4ec5\u9002\u7528\u4e8e root \u6709\u5de6\u5b50\u7ed3\u70b9\u7684\u60c5\u51b5\uff09\nfn getInOrderNext(self: *Self, node: ?*inc.TreeNode(T)) ?*inc.TreeNode(T) {\n_ = self;\nvar node_tmp = node;\nif (node_tmp == null) return null;\n// \u5faa\u73af\u8bbf\u95ee\u5de6\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u53f6\u7ed3\u70b9\u65f6\u4e3a\u6700\u5c0f\u7ed3\u70b9\uff0c\u8df3\u51fa\nwhile (node_tmp.?.left != null) {\nnode_tmp = node_tmp.?.left;\n}\nreturn node_tmp;\n}\n</code></pre>"},{"location":"chapter_tree/binary_search_tree/#_4","title":"\u6392\u5e8f","text":"<p>\u6211\u4eec\u77e5\u9053\uff0c\u300c\u4e2d\u5e8f\u904d\u5386\u300d\u9075\u5faa\u201c\u5de6 \\(\\rightarrow\\) \u6839 \\(\\rightarrow\\) \u53f3\u201d\u7684\u904d\u5386\u4f18\u5148\u7ea7\uff0c\u800c\u4e8c\u53c9\u641c\u7d22\u6811\u9075\u5faa\u201c\u5de6\u5b50\u7ed3\u70b9 \\(&lt;\\) \u6839\u7ed3\u70b9 \\(&lt;\\) \u53f3\u5b50\u7ed3\u70b9\u201d\u7684\u5927\u5c0f\u5173\u7cfb\u3002\u56e0\u6b64\uff0c\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u8fdb\u884c\u4e2d\u5e8f\u904d\u5386\u65f6\uff0c\u603b\u662f\u4f1a\u4f18\u5148\u904d\u5386\u4e0b\u4e00\u4e2a\u6700\u5c0f\u7ed3\u70b9\uff0c\u4ece\u800c\u5f97\u51fa\u4e00\u6761\u91cd\u8981\u6027\u8d28\uff1a\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u662f\u5347\u5e8f\u7684\u3002</p> <p>\u501f\u52a9\u4e2d\u5e8f\u904d\u5386\u5347\u5e8f\u7684\u6027\u8d28\uff0c\u6211\u4eec\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u83b7\u53d6\u6709\u5e8f\u6570\u636e\u4ec5\u9700 \\(O(n)\\) \u65f6\u95f4\uff0c\u800c\u65e0\u9700\u989d\u5916\u6392\u5e8f\uff0c\u975e\u5e38\u9ad8\u6548\u3002</p> <p></p>"},{"location":"chapter_tree/binary_search_tree/#732","title":"7.3.2. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6548\u7387","text":"<p>\u5047\u8bbe\u7ed9\u5b9a \\(n\\) \u4e2a\u6570\u5b57\uff0c\u6700\u5e38\u7528\u7684\u5b58\u50a8\u65b9\u5f0f\u662f\u300c\u6570\u7ec4\u300d\uff0c\u90a3\u4e48\u5bf9\u4e8e\u8fd9\u4e32\u4e71\u5e8f\u7684\u6570\u5b57\uff0c\u5e38\u89c1\u64cd\u4f5c\u7684\u6548\u7387\u4e3a\uff1a</p> <ul> <li>\u67e5\u627e\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u662f\u65e0\u5e8f\u7684\uff0c\u56e0\u6b64\u9700\u8981\u904d\u5386\u6570\u7ec4\u6765\u786e\u5b9a\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u63d2\u5165\u5143\u7d20\uff1a\u53ea\u9700\u5c06\u5143\u7d20\u6dfb\u52a0\u81f3\u6570\u7ec4\u5c3e\u90e8\u5373\u53ef\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\uff1b</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u5148\u67e5\u627e\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u518d\u5728\u6570\u7ec4\u4e2d\u5220\u9664\u8be5\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20\uff1a\u9700\u8981\u904d\u5386\u6570\u7ec4\u6765\u786e\u5b9a\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> </ul> <p>\u4e3a\u4e86\u5f97\u5230\u5148\u9a8c\u4fe1\u606f\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u9884\u5148\u5c06\u6570\u7ec4\u5143\u7d20\u8fdb\u884c\u6392\u5e8f\uff0c\u5f97\u5230\u4e00\u4e2a\u300c\u6392\u5e8f\u6570\u7ec4\u300d\uff0c\u6b64\u65f6\u64cd\u4f5c\u6548\u7387\u4e3a\uff1a</p> <ul> <li>\u67e5\u627e\u5143\u7d20\uff1a\u7531\u4e8e\u6570\u7ec4\u5df2\u6392\u5e8f\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u67e5\u627e\uff0c\u5e73\u5747\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff1b</li> <li>\u63d2\u5165\u5143\u7d20\uff1a\u5148\u67e5\u627e\u63d2\u5165\u4f4d\u7f6e\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u518d\u63d2\u5165\u5230\u6307\u5b9a\u4f4d\u7f6e\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u5220\u9664\u5143\u7d20\uff1a\u5148\u67e5\u627e\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(\\log n)\\) \u65f6\u95f4\uff0c\u518d\u5728\u6570\u7ec4\u4e2d\u5220\u9664\u8be5\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff1b</li> <li>\u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20\uff1a\u6570\u7ec4\u5934\u90e8\u548c\u5c3e\u90e8\u5143\u7d20\u5373\u662f\u6700\u5c0f\u548c\u6700\u5927\u5143\u7d20\uff0c\u4f7f\u7528 \\(O(1)\\) \u65f6\u95f4\uff1b</li> </ul> <p>\u89c2\u5bdf\u53d1\u73b0\uff0c\u65e0\u5e8f\u6570\u7ec4\u548c\u6709\u5e8f\u6570\u7ec4\u4e2d\u7684\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u201c\u504f\u79d1\u201d\u7684\uff0c\u5373\u6709\u7684\u5feb\u6709\u7684\u6162\uff1b\u800c\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5404\u9879\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f\u5bf9\u6570\u9636\uff0c\u5728\u6570\u636e\u91cf \\(n\\) \u5f88\u5927\u65f6\u6709\u5de8\u5927\u4f18\u52bf\u3002</p> \u65e0\u5e8f\u6570\u7ec4 \u6709\u5e8f\u6570\u7ec4 \u4e8c\u53c9\u641c\u7d22\u6811 \u67e5\u627e\u6307\u5b9a\u5143\u7d20 \\(O(n)\\) \\(O(\\log n)\\) \\(O(\\log n)\\) \u63d2\u5165\u5143\u7d20 \\(O(1)\\) \\(O(n)\\) \\(O(\\log n)\\) \u5220\u9664\u5143\u7d20 \\(O(n)\\) \\(O(n)\\) \\(O(\\log n)\\) \u83b7\u53d6\u6700\u5c0f / \u6700\u5927\u5143\u7d20 \\(O(n)\\) \\(O(1)\\) \\(O(\\log n)\\)"},{"location":"chapter_tree/binary_search_tree/#733","title":"7.3.3. \u4e8c\u53c9\u641c\u7d22\u6811\u7684\u9000\u5316","text":"<p>\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u662f\u201c\u5de6\u53f3\u5e73\u8861\u201d\u7684\uff08\u8be6\u89c1\u300c\u5e73\u8861\u4e8c\u53c9\u6811\u300d\u7ae0\u8282\uff09\uff0c\u6b64\u65f6\u53ef\u4ee5\u5728 \\(\\log n\\) \u8f6e\u5faa\u73af\u5185\u67e5\u627e\u4efb\u610f\u7ed3\u70b9\u3002</p> <p>\u5982\u679c\u6211\u4eec\u52a8\u6001\u5730\u5728\u4e8c\u53c9\u641c\u7d22\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\uff0c\u5219\u53ef\u80fd\u5bfc\u81f4\u4e8c\u53c9\u6811\u9000\u5316\u4e3a\u94fe\u8868\uff0c\u6b64\u65f6\u5404\u79cd\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u9000\u5316\u4e4b \\(O(n)\\) \u3002</p> <p>Note</p> <p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5982\u4f55\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5e73\u8861\uff0c\u4e5f\u662f\u4e00\u4e2a\u9700\u8981\u91cd\u8981\u8003\u8651\u7684\u95ee\u9898\u3002</p> <p></p>"},{"location":"chapter_tree/binary_search_tree/#734","title":"7.3.4. \u4e8c\u53c9\u641c\u7d22\u6811\u5e38\u89c1\u5e94\u7528","text":"<ul> <li>\u7cfb\u7edf\u4e2d\u7684\u591a\u7ea7\u7d22\u5f15\uff0c\u9ad8\u6548\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u3002</li> <li>\u5404\u79cd\u641c\u7d22\u7b97\u6cd5\u7684\u5e95\u5c42\u6570\u636e\u7ed3\u6784\u3002</li> <li>\u5b58\u50a8\u6570\u636e\u6d41\uff0c\u4fdd\u6301\u5176\u5df2\u6392\u5e8f\u3002</li> </ul>"},{"location":"chapter_tree/binary_tree/","title":"7.1. \u4e8c\u53c9\u6811","text":"<p>\u300c\u4e8c\u53c9\u6811 Binary Tree\u300d\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u7740\u7956\u5148\u4e0e\u540e\u4ee3\u4e4b\u95f4\u7684\u6d3e\u751f\u5173\u7cfb\uff0c\u4f53\u73b0\u7740\u201c\u4e00\u5206\u4e3a\u4e8c\u201d\u7684\u5206\u6cbb\u903b\u8f91\u3002\u7c7b\u4f3c\u4e8e\u94fe\u8868\uff0c\u4e8c\u53c9\u6811\u4e5f\u662f\u4ee5\u7ed3\u70b9\u4e3a\u5355\u4f4d\u5b58\u50a8\u7684\uff0c\u7ed3\u70b9\u5305\u542b\u300c\u503c\u300d\u548c\u4e24\u4e2a\u300c\u6307\u9488\u300d\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nint val;         // \u7ed3\u70b9\u503c\nTreeNode left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7ed3\u6784\u4f53 */\nstruct TreeNode {\nint val;          // \u7ed3\u70b9\u503c\nTreeNode *left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode *right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) : val(x), left(nullptr), right(nullptr) {}\n};\n</code></pre> <pre><code>\"\"\" \u94fe\u8868\u7ed3\u70b9\u7c7b \"\"\"\nclass TreeNode:\ndef __init__(self, val=None, left=None, right=None):\nself.val = val      # \u7ed3\u70b9\u503c\nself.left = left    # \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nself.right = right  # \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\ntype TreeNode struct {\nVal   int\nLeft  *TreeNode\nRight *TreeNode\n}\n/* \u7ed3\u70b9\u521d\u59cb\u5316\u65b9\u6cd5 */\nfunc NewTreeNode(v int) *TreeNode {\nreturn &amp;TreeNode{\nLeft:  nil,\nRight: nil,\nVal:   v,\n}\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nfunction TreeNode(val, left, right) {\nthis.val = (val === undefined ? 0 : val); // \u7ed3\u70b9\u503c\nthis.left = (left === undefined ? null : left); // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nthis.right = (right === undefined ? null : right); // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nval: number;\nleft: TreeNode | null;\nright: TreeNode | null;\nconstructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {\nthis.val = val === undefined ? 0 : val; // \u7ed3\u70b9\u503c\nthis.left = left === undefined ? null : left; // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nthis.right = right === undefined ? null : right; // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\n}\n}\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nint val;          // \u7ed3\u70b9\u503c\nTreeNode? left;   // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode? right;  // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\nTreeNode(int x) { val = x; }\n}\n</code></pre> <pre><code>/* \u94fe\u8868\u7ed3\u70b9\u7c7b */\nclass TreeNode {\nvar val: Int // \u7ed3\u70b9\u503c\nvar left: TreeNode? // \u5de6\u5b50\u7ed3\u70b9\u6307\u9488\nvar right: TreeNode? // \u53f3\u5b50\u7ed3\u70b9\u6307\u9488\ninit(x: Int) {\nval = x\n}\n}\n</code></pre> <pre><code>\n</code></pre> <p>\u7ed3\u70b9\u7684\u4e24\u4e2a\u6307\u9488\u5206\u522b\u6307\u5411\u300c\u5de6\u5b50\u7ed3\u70b9 Left Child Node\u300d\u548c\u300c\u53f3\u5b50\u7ed3\u70b9 Right Child Node\u300d\uff0c\u5e76\u4e14\u79f0\u8be5\u7ed3\u70b9\u4e3a\u4e24\u4e2a\u5b50\u7ed3\u70b9\u7684\u300c\u7236\u7ed3\u70b9 Parent Node\u300d\u3002\u7ed9\u5b9a\u4e8c\u53c9\u6811\u67d0\u7ed3\u70b9\uff0c\u5c06\u5de6\u5b50\u7ed3\u70b9\u4ee5\u4e0b\u7684\u6811\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u300c\u5de6\u5b50\u6811 Left Subtree\u300d\uff0c\u53f3\u5b50\u6811\u540c\u7406\u3002</p> <p>\u9664\u4e86\u53f6\u7ed3\u70b9\u5916\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u6709\u5b50\u7ed3\u70b9\u548c\u5b50\u6811\u3002\u4f8b\u5982\uff0c\u82e5\u5c06\u4e0b\u56fe\u7684\u300c\u7ed3\u70b9 2\u300d\u770b\u4f5c\u7236\u7ed3\u70b9\uff0c\u90a3\u4e48\u5176\u5de6\u5b50\u7ed3\u70b9\u548c\u53f3\u5b50\u7ed3\u70b9\u5206\u522b\u4e3a\u300c\u7ed3\u70b9 4\u300d\u548c\u300c\u7ed3\u70b9 5\u300d\uff0c\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u5206\u522b\u4e3a\u300c\u7ed3\u70b9 4 \u53ca\u5176\u4ee5\u4e0b\u7ed3\u70b9\u5f62\u6210\u7684\u6811\u300d\u548c\u300c\u7ed3\u70b9 5 \u53ca\u5176\u4ee5\u4e0b\u7ed3\u70b9\u5f62\u6210\u7684\u6811\u300d\u3002</p> <p></p> <p> Fig. \u5b50\u7ed3\u70b9\u4e0e\u5b50\u6811 </p>"},{"location":"chapter_tree/binary_tree/#711","title":"7.1.1. \u4e8c\u53c9\u6811\u5e38\u89c1\u672f\u8bed","text":"<p>\u4e8c\u53c9\u6811\u7684\u672f\u8bed\u8f83\u591a\uff0c\u5efa\u8bae\u5c3d\u91cf\u7406\u89e3\u5e76\u8bb0\u4f4f\u3002\u540e\u7eed\u53ef\u80fd\u9057\u5fd8\uff0c\u53ef\u4ee5\u5728\u9700\u8981\u4f7f\u7528\u65f6\u56de\u6765\u67e5\u770b\u786e\u8ba4\u3002</p> <ul> <li>\u300c\u6839\u7ed3\u70b9 Root Node\u300d\uff1a\u4e8c\u53c9\u6811\u6700\u9876\u5c42\u7684\u7ed3\u70b9\uff0c\u5176\u6ca1\u6709\u7236\u7ed3\u70b9\uff1b</li> <li>\u300c\u53f6\u7ed3\u70b9 Leaf Node\u300d\uff1a\u6ca1\u6709\u5b50\u7ed3\u70b9\u7684\u7ed3\u70b9\uff0c\u5176\u4e24\u4e2a\u6307\u9488\u90fd\u6307\u5411 \\(\\text{null}\\) \uff1b</li> <li>\u7ed3\u70b9\u6240\u5904\u300c\u5c42 Level\u300d\uff1a\u4ece\u9876\u81f3\u5e95\u4f9d\u6b21\u589e\u52a0\uff0c\u6839\u7ed3\u70b9\u6240\u5904\u5c42\u4e3a 1 \uff1b</li> <li>\u7ed3\u70b9\u300c\u5ea6 Degree\u300d\uff1a\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9\u6570\u91cf\u3002\u4e8c\u53c9\u6811\u4e2d\uff0c\u5ea6\u7684\u8303\u56f4\u662f 0, 1, 2 \uff1b</li> <li>\u300c\u8fb9 Edge\u300d\uff1a\u8fde\u63a5\u4e24\u4e2a\u7ed3\u70b9\u7684\u8fb9\uff0c\u5373\u7ed3\u70b9\u6307\u9488\uff1b</li> <li>\u4e8c\u53c9\u6811\u300c\u9ad8\u5ea6\u300d\uff1a\u4e8c\u53c9\u6811\u4e2d\u6839\u7ed3\u70b9\u5230\u6700\u8fdc\u53f6\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> <li>\u7ed3\u70b9\u300c\u6df1\u5ea6 Depth\u300d \uff1a\u6839\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> <li>\u7ed3\u70b9\u300c\u9ad8\u5ea6 Height\u300d\uff1a\u6700\u8fdc\u53f6\u7ed3\u70b9\u5230\u8be5\u7ed3\u70b9\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\uff1b</li> </ul> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u5e38\u89c1\u672f\u8bed </p> <p>\u9ad8\u5ea6\u4e0e\u6df1\u5ea6\u7684\u5b9a\u4e49</p> <p>\u503c\u5f97\u6ce8\u610f\uff0c\u6211\u4eec\u901a\u5e38\u5c06\u300c\u9ad8\u5ea6\u300d\u548c\u300c\u6df1\u5ea6\u300d\u5b9a\u4e49\u4e3a\u201c\u8d70\u8fc7\u8fb9\u7684\u6570\u91cf\u201d\uff0c\u800c\u6709\u4e9b\u9898\u76ee\u6216\u6559\u6750\u4f1a\u5c06\u5176\u5b9a\u4e49\u4e3a\u201c\u8d70\u8fc7\u7ed3\u70b9\u7684\u6570\u91cf\u201d\uff0c\u6b64\u65f6\u9ad8\u5ea6\u6216\u6df1\u5ea6\u90fd\u9700\u8981 + 1 \u3002</p>"},{"location":"chapter_tree/binary_tree/#712","title":"7.1.2. \u4e8c\u53c9\u6811\u57fa\u672c\u64cd\u4f5c","text":"<p>\u521d\u59cb\u5316\u4e8c\u53c9\u6811\u3002\u4e0e\u94fe\u8868\u7c7b\u4f3c\uff0c\u5148\u521d\u59cb\u5316\u7ed3\u70b9\uff0c\u518d\u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree.java<pre><code>// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode n1 = new TreeNode(1);\nTreeNode n2 = new TreeNode(2);\nTreeNode n3 = new TreeNode(3);\nTreeNode n4 = new TreeNode(4);\nTreeNode n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.cpp<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode* n1 = new TreeNode(1);\nTreeNode* n2 = new TreeNode(2);\nTreeNode* n3 = new TreeNode(3);\nTreeNode* n4 = new TreeNode(4);\nTreeNode* n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1-&gt;left = n2;\nn1-&gt;right = n3;\nn2-&gt;left = n4;\nn2-&gt;right = n5;\n</code></pre> binary_tree.py<pre><code>\"\"\" \u521d\u59cb\u5316\u4e8c\u53c9\u6811 \"\"\"\n# \u521d\u59cb\u5316\u7ed3\u70b9\nn1 = TreeNode(val=1)\nn2 = TreeNode(val=2)\nn3 = TreeNode(val=3)\nn4 = TreeNode(val=4)\nn5 = TreeNode(val=5)\n# \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2\nn1.right = n3\nn2.left = n4\nn2.right = n5\n</code></pre> binary_tree.go<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nn1 := NewTreeNode(1)\nn2 := NewTreeNode(2)\nn3 := NewTreeNode(3)\nn4 := NewTreeNode(4)\nn5 := NewTreeNode(5)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.Left = n2\nn1.Right = n3\nn2.Left = n4\nn2.Right = n5\n</code></pre> binary_tree.js<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = new TreeNode(1),\nn2 = new TreeNode(2),\nn3 = new TreeNode(3),\nn4 = new TreeNode(4),\nn5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.ts<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = new TreeNode(1),\nn2 = new TreeNode(2),\nn3 = new TreeNode(3),\nn4 = new TreeNode(4),\nn5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.c<pre><code>\n</code></pre> binary_tree.cs<pre><code>/* \u521d\u59cb\u5316\u4e8c\u53c9\u6811 */\n// \u521d\u59cb\u5316\u7ed3\u70b9\nTreeNode n1 = new TreeNode(1);\nTreeNode n2 = new TreeNode(2);\nTreeNode n3 = new TreeNode(3);\nTreeNode n4 = new TreeNode(4);\nTreeNode n5 = new TreeNode(5);\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2;\nn1.right = n3;\nn2.left = n4;\nn2.right = n5;\n</code></pre> binary_tree.swift<pre><code>// \u521d\u59cb\u5316\u7ed3\u70b9\nlet n1 = TreeNode(x: 1)\nlet n2 = TreeNode(x: 2)\nlet n3 = TreeNode(x: 3)\nlet n4 = TreeNode(x: 4)\nlet n5 = TreeNode(x: 5)\n// \u6784\u5efa\u5f15\u7528\u6307\u5411\uff08\u5373\u6307\u9488\uff09\nn1.left = n2\nn1.right = n3\nn2.left = n4\nn2.right = n5\n</code></pre> binary_tree.zig<pre><code>\n</code></pre> <p>\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u3002\u4e0e\u94fe\u8868\u7c7b\u4f3c\uff0c\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u90fd\u53ef\u4ee5\u901a\u8fc7\u4fee\u6539\u6307\u9488\u5b9e\u73b0\u3002</p> <p></p> <p> Fig. \u5728\u4e8c\u53c9\u6811\u4e2d\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 </p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree.java<pre><code>TreeNode P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.cpp<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nTreeNode* P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1-&gt;left = P;\nP-&gt;left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1-&gt;left = n2;\n</code></pre> binary_tree.py<pre><code>\"\"\" \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 \"\"\"\np = TreeNode(0)\n# \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = p\np.left = n2\n# \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2\n</code></pre> binary_tree.go<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\np := NewTreeNode(0)\nn1.Left = p\np.Left = n2\n// \u5220\u9664\u7ed3\u70b9 P\nn1.Left = n2\n</code></pre> binary_tree.js<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nlet P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.ts<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nconst P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.c<pre><code>\n</code></pre> binary_tree.cs<pre><code>/* \u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9 */\nTreeNode P = new TreeNode(0);\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P;\nP.left = n2;\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2;\n</code></pre> binary_tree.swift<pre><code>let P = TreeNode(x: 0)\n// \u5728 n1 -&gt; n2 \u4e2d\u95f4\u63d2\u5165\u7ed3\u70b9 P\nn1.left = P\nP.left = n2\n// \u5220\u9664\u7ed3\u70b9 P\nn1.left = n2\n</code></pre> binary_tree.zig<pre><code>\n</code></pre> <p>Note</p> <p>\u63d2\u5165\u7ed3\u70b9\u4f1a\u6539\u53d8\u4e8c\u53c9\u6811\u7684\u539f\u6709\u903b\u8f91\u7ed3\u6784\uff0c\u5220\u9664\u7ed3\u70b9\u5f80\u5f80\u610f\u5473\u7740\u5220\u9664\u4e86\u8be5\u7ed3\u70b9\u7684\u6240\u6709\u5b50\u6811\u3002\u56e0\u6b64\uff0c\u4e8c\u53c9\u6811\u4e2d\u7684\u63d2\u5165\u4e0e\u5220\u9664\u4e00\u822c\u90fd\u662f\u7531\u4e00\u5957\u64cd\u4f5c\u914d\u5408\u5b8c\u6210\u7684\uff0c\u8fd9\u6837\u624d\u80fd\u5b9e\u73b0\u6709\u610f\u4e49\u7684\u64cd\u4f5c\u3002</p>"},{"location":"chapter_tree/binary_tree/#713","title":"7.1.3. \u5e38\u89c1\u4e8c\u53c9\u6811\u7c7b\u578b","text":""},{"location":"chapter_tree/binary_tree/#_1","title":"\u5b8c\u7f8e\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811 Perfect Binary Tree\u300d\u7684\u6240\u6709\u5c42\u7684\u7ed3\u70b9\u90fd\u88ab\u5b8c\u5168\u586b\u6ee1\u3002\u5728\u5b8c\u7f8e\u4e8c\u53c9\u6811\u4e2d\uff0c\u6240\u6709\u7ed3\u70b9\u7684\u5ea6 = 2 \uff1b\u82e5\u6811\u9ad8\u5ea6 \\(= h\\) \uff0c\u5219\u7ed3\u70b9\u603b\u6570 \\(= 2^{h+1} - 1\\) \uff0c\u5448\u6807\u51c6\u7684\u6307\u6570\u7ea7\u5173\u7cfb\uff0c\u53cd\u6620\u7740\u81ea\u7136\u754c\u4e2d\u5e38\u89c1\u7684\u7ec6\u80de\u5206\u88c2\u3002</p> <p>Tip</p> <p>\u5728\u4e2d\u6587\u793e\u533a\u4e2d\uff0c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u5e38\u88ab\u79f0\u4e3a\u300c\u6ee1\u4e8c\u53c9\u6811\u300d\uff0c\u8bf7\u6ce8\u610f\u4e0e\u5b8c\u6ee1\u4e8c\u53c9\u6811\u533a\u5206\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_2","title":"\u5b8c\u5168\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u5168\u4e8c\u53c9\u6811 Complete Binary Tree\u300d\u53ea\u6709\u6700\u5e95\u5c42\u7684\u7ed3\u70b9\u672a\u88ab\u586b\u6ee1\uff0c\u4e14\u6700\u5e95\u5c42\u7ed3\u70b9\u5c3d\u91cf\u9760\u5de6\u586b\u5145\u3002</p> <p>\u5b8c\u5168\u4e8c\u53c9\u6811\u975e\u5e38\u9002\u5408\u7528\u6570\u7ec4\u6765\u8868\u793a\u3002\u5982\u679c\u6309\u7167\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u987a\u5e8f\u6765\u5b58\u50a8\uff0c\u90a3\u4e48\u7a7a\u7ed3\u70b9 <code>null</code> \u4e00\u5b9a\u5168\u90e8\u51fa\u73b0\u5728\u5e8f\u5217\u7684\u5c3e\u90e8\uff0c\u56e0\u6b64\u6211\u4eec\u5c31\u53ef\u4ee5\u4e0d\u7528\u5b58\u50a8\u8fd9\u4e9b null \u4e86\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_3","title":"\u5b8c\u6ee1\u4e8c\u53c9\u6811","text":"<p>\u300c\u5b8c\u6ee1\u4e8c\u53c9\u6811 Full Binary Tree\u300d\u9664\u4e86\u53f6\u7ed3\u70b9\u4e4b\u5916\uff0c\u5176\u4f59\u6240\u6709\u7ed3\u70b9\u90fd\u6709\u4e24\u4e2a\u5b50\u7ed3\u70b9\u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#_4","title":"\u5e73\u8861\u4e8c\u53c9\u6811","text":"<p>\u300c\u5e73\u8861\u4e8c\u53c9\u6811 Balanced Binary Tree\u300d\u4e2d\u4efb\u610f\u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c \\(\\leq 1\\) \u3002</p> <p></p>"},{"location":"chapter_tree/binary_tree/#714","title":"7.1.4. \u4e8c\u53c9\u6811\u7684\u9000\u5316","text":"<p>\u5f53\u4e8c\u53c9\u6811\u7684\u6bcf\u5c42\u7684\u7ed3\u70b9\u90fd\u88ab\u586b\u6ee1\u65f6\uff0c\u8fbe\u5230\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff1b\u800c\u5f53\u6240\u6709\u7ed3\u70b9\u90fd\u504f\u5411\u4e00\u8fb9\u65f6\uff0c\u4e8c\u53c9\u6811\u9000\u5316\u4e3a\u300c\u94fe\u8868\u300d\u3002</p> <ul> <li>\u5b8c\u7f8e\u4e8c\u53c9\u6811\u662f\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u201c\u6700\u4f73\u72b6\u6001\u201d\uff0c\u53ef\u4ee5\u5b8c\u5168\u53d1\u6325\u51fa\u4e8c\u53c9\u6811\u201c\u5206\u6cbb\u201d\u7684\u4f18\u52bf\uff1b</li> <li>\u94fe\u8868\u5219\u662f\u53e6\u4e00\u4e2a\u6781\u7aef\uff0c\u5404\u9879\u64cd\u4f5c\u90fd\u53d8\u4e3a\u7ebf\u6027\u64cd\u4f5c\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u9000\u5316\u81f3 \\(O(n)\\) \uff1b</li> </ul> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u6700\u4f73\u548c\u6700\u5dee\u7ed3\u6784 </p> <p>\u5982\u4e0b\u8868\u6240\u793a\uff0c\u5728\u6700\u4f73\u548c\u6700\u5dee\u7ed3\u6784\u4e0b\uff0c\u4e8c\u53c9\u6811\u7684\u53f6\u7ed3\u70b9\u6570\u91cf\u3001\u7ed3\u70b9\u603b\u6570\u3001\u9ad8\u5ea6\u7b49\u8fbe\u5230\u6781\u5927\u6216\u6781\u5c0f\u503c\u3002</p> \u5b8c\u7f8e\u4e8c\u53c9\u6811 \u94fe\u8868 \u7b2c \\(i\\) \u5c42\u7684\u7ed3\u70b9\u6570\u91cf \\(2^{i-1}\\) \\(1\\) \u6811\u7684\u9ad8\u5ea6\u4e3a \\(h\\) \u65f6\u7684\u53f6\u7ed3\u70b9\u6570\u91cf \\(2^h\\) \\(1\\) \u6811\u7684\u9ad8\u5ea6\u4e3a \\(h\\) \u65f6\u7684\u7ed3\u70b9\u603b\u6570 \\(2^{h+1} - 1\\) \\(h + 1\\) \u6811\u7684\u7ed3\u70b9\u603b\u6570\u4e3a \\(n\\) \u65f6\u7684\u9ad8\u5ea6 \\(\\log_2 (n+1) - 1\\) \\(n - 1\\)"},{"location":"chapter_tree/binary_tree/#715","title":"7.1.5. \u4e8c\u53c9\u6811\u8868\u793a\u65b9\u5f0f *","text":"<p>\u6211\u4eec\u4e00\u822c\u4f7f\u7528\u4e8c\u53c9\u6811\u7684\u300c\u94fe\u8868\u8868\u793a\u300d\uff0c\u5373\u5b58\u50a8\u5355\u4f4d\u4e3a\u7ed3\u70b9 <code>TreeNode</code> \uff0c\u7ed3\u70b9\u4e4b\u95f4\u901a\u8fc7\u6307\u9488\uff08\u5f15\u7528\uff09\u76f8\u8fde\u63a5\u3002\u672c\u6587\u524d\u8ff0\u793a\u4f8b\u4ee3\u7801\u5c55\u793a\u4e86\u4e8c\u53c9\u6811\u5728\u94fe\u8868\u8868\u793a\u4e0b\u7684\u5404\u9879\u57fa\u672c\u64cd\u4f5c\u3002</p> <p>\u90a3\u80fd\u5426\u53ef\u4ee5\u7528\u300c\u6570\u7ec4\u8868\u793a\u300d\u4e8c\u53c9\u6811\u5462\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\u3002\u5148\u6765\u5206\u6790\u4e00\u4e2a\u7b80\u5355\u6848\u4f8b\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u300c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u300d\uff0c\u5c06\u7ed3\u70b9\u6309\u7167\u5c42\u5e8f\u904d\u5386\u7684\u987a\u5e8f\u7f16\u53f7\uff08\u4ece 0 \u5f00\u59cb\uff09\uff0c\u90a3\u4e48\u53ef\u4ee5\u63a8\u5bfc\u5f97\u51fa\u7236\u7ed3\u70b9\u7d22\u5f15\u4e0e\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e4b\u95f4\u7684\u300c\u6620\u5c04\u516c\u5f0f\u300d\uff1a\u8bbe\u7ed3\u70b9\u7684\u7d22\u5f15\u4e3a \\(i\\) \uff0c\u5219\u8be5\u7ed3\u70b9\u7684\u5de6\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 1\\) \u3001\u53f3\u5b50\u7ed3\u70b9\u7d22\u5f15\u4e3a \\(2i + 2\\) \u3002</p> <p>\u672c\u8d28\u4e0a\uff0c\u6620\u5c04\u516c\u5f0f\u7684\u4f5c\u7528\u5c31\u662f\u94fe\u8868\u4e2d\u7684\u6307\u9488\u3002\u5bf9\u4e8e\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u4e2d\u7684\u4efb\u610f\u7ed3\u70b9\uff0c\u6211\u4eec\u90fd\u53ef\u4ee5\u4f7f\u7528\u6620\u5c04\u516c\u5f0f\u6765\u8bbf\u95ee\u5b50\u7ed3\u70b9\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\uff08\u5373\u6570\u7ec4\uff09\u6765\u8868\u793a\u5b8c\u7f8e\u4e8c\u53c9\u6811\u3002</p> <p></p> <p>\u7136\u800c\uff0c\u5b8c\u7f8e\u4e8c\u53c9\u6811\u53ea\u662f\u4e2a\u4f8b\uff0c\u4e8c\u53c9\u6811\u4e2d\u95f4\u5c42\u5f80\u5f80\u5b58\u5728\u8bb8\u591a\u7a7a\u7ed3\u70b9\uff08\u5373 <code>null</code> \uff09\uff0c\u800c\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u5e76\u4e0d\u5305\u542b\u8fd9\u4e9b\u7a7a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6211\u4eec\u65e0\u6cd5\u5355\u51ed\u5e8f\u5217\u6765\u731c\u6d4b\u7a7a\u7ed3\u70b9\u7684\u6570\u91cf\u548c\u5206\u5e03\u4f4d\u7f6e\uff0c\u5373\u7406\u8bba\u4e0a\u5b58\u5728\u8bb8\u591a\u79cd\u4e8c\u53c9\u6811\u90fd\u7b26\u5408\u8be5\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u3002\u663e\u7136\uff0c\u8fd9\u79cd\u60c5\u51b5\u65e0\u6cd5\u4f7f\u7528\u6570\u7ec4\u6765\u5b58\u50a8\u4e8c\u53c9\u6811\u3002</p> <p></p> <p>\u4e3a\u4e86\u89e3\u51b3\u6b64\u95ee\u9898\uff0c\u8003\u8651\u6309\u7167\u5b8c\u7f8e\u4e8c\u53c9\u6811\u7684\u5f62\u5f0f\u6765\u8868\u793a\u6240\u6709\u4e8c\u53c9\u6811\uff0c\u5373\u5728\u5e8f\u5217\u4e2d\u4f7f\u7528\u7279\u6b8a\u7b26\u53f7\u6765\u663e\u5f0f\u5730\u8868\u793a\u201c\u7a7a\u4f4d\u201d\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u6837\u5904\u7406\u540e\uff0c\u5e8f\u5217\uff08\u6570\u7ec4\uff09\u5c31\u53ef\u4ee5\u552f\u4e00\u8868\u793a\u4e8c\u53c9\u6811\u4e86\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 int \u7684\u5305\u88c5\u7c7b Integer \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 null \u6765\u6807\u8bb0\u7a7a\u4f4d\nInteger[] tree = { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4e3a\u4e86\u7b26\u5408\u6570\u636e\u7c7b\u578b\u4e3a int \uff0c\u4f7f\u7528 int \u6700\u5927\u503c\u6807\u8bb0\u7a7a\u4f4d\n// \u8be5\u65b9\u6cd5\u7684\u4f7f\u7528\u524d\u63d0\u662f\u6ca1\u6709\u7ed3\u70b9\u7684\u503c = INT_MAX\nvector&lt;int&gt; tree = { 1, 2, 3, 4, INT_MAX, 6, 7, 8, 9, INT_MAX, INT_MAX, 12, INT_MAX, INT_MAX, 15 };\n</code></pre> <pre><code>\"\"\" \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a \"\"\"\n# \u76f4\u63a5\u4f7f\u7528 None \u6765\u8868\u793a\u7a7a\u4f4d\ntree = [1, 2, 3, 4, None, 6, 7, 8, 9, None, None, 12, None, None, 15]\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u76f4\u63a5\u4f7f\u7528 null \u6765\u8868\u793a\u7a7a\u4f4d\nlet tree = [1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15];\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u76f4\u63a5\u4f7f\u7528 null \u6765\u8868\u793a\u7a7a\u4f4d\nlet tree: (number | null)[] = [1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15];\n</code></pre> <pre><code>\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 int? \u53ef\u7a7a\u7c7b\u578b \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 null \u6765\u6807\u8bb0\u7a7a\u4f4d\nint?[] tree = { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };\n</code></pre> <pre><code>/* \u4e8c\u53c9\u6811\u7684\u6570\u7ec4\u8868\u793a */\n// \u4f7f\u7528 Int? \u53ef\u7a7a\u7c7b\u578b \uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 nil \u6765\u6807\u8bb0\u7a7a\u4f4d\nlet tree: [Int?] = [1, 2, 3, 4, nil, 6, 7, 8, 9, nil, nil, 12, nil, nil, 15]\n</code></pre> <pre><code>\n</code></pre> <p></p> <p>\u56de\u987e\u300c\u5b8c\u5168\u4e8c\u53c9\u6811\u300d\u7684\u5b9a\u4e49\uff0c\u5176\u53ea\u6709\u6700\u5e95\u5c42\u6709\u7a7a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6700\u5e95\u5c42\u7684\u7ed3\u70b9\u5c3d\u91cf\u9760\u5de6\uff0c\u56e0\u800c\u6240\u6709\u7a7a\u7ed3\u70b9\u90fd\u4e00\u5b9a\u51fa\u73b0\u5728\u5c42\u5e8f\u904d\u5386\u5e8f\u5217\u7684\u672b\u5c3e\u3002\u56e0\u4e3a\u6211\u4eec\u5148\u9a8c\u5730\u786e\u5b9a\u4e86\u7a7a\u4f4d\u7684\u4f4d\u7f6e\uff0c\u6240\u4ee5\u5728\u4f7f\u7528\u6570\u7ec4\u8868\u793a\u5b8c\u5168\u4e8c\u53c9\u6811\u65f6\uff0c\u53ef\u4ee5\u7701\u7565\u5b58\u50a8\u201c\u7a7a\u4f4d\u201d\u3002\u56e0\u6b64\uff0c\u5b8c\u5168\u4e8c\u53c9\u6811\u975e\u5e38\u9002\u5408\u4f7f\u7528\u6570\u7ec4\u6765\u8868\u793a\u3002</p> <p></p> <p>\u6570\u7ec4\u8868\u793a\u6709\u4e24\u4e2a\u4f18\u70b9\uff1a \u4e00\u662f\u4e0d\u9700\u8981\u5b58\u50a8\u6307\u9488\uff0c\u8282\u7701\u7a7a\u95f4\uff1b\u4e8c\u662f\u53ef\u4ee5\u968f\u673a\u8bbf\u95ee\u7ed3\u70b9\u3002\u7136\u800c\uff0c\u5f53\u4e8c\u53c9\u6811\u4e2d\u7684\u201c\u7a7a\u4f4d\u201d\u5f88\u591a\u65f6\uff0c\u6570\u7ec4\u4e2d\u53ea\u5305\u542b\u5f88\u5c11\u7ed3\u70b9\u7684\u6570\u636e\uff0c\u7a7a\u95f4\u5229\u7528\u7387\u5f88\u4f4e\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/","title":"7.2. \u4e8c\u53c9\u6811\u904d\u5386","text":"<p>\u4ece\u7269\u7406\u7ed3\u6784\u89d2\u5ea6\u770b\uff0c\u6811\u662f\u4e00\u79cd\u57fa\u4e8e\u94fe\u8868\u7684\u6570\u636e\u7ed3\u6784\uff0c\u56e0\u6b64\u904d\u5386\u65b9\u5f0f\u4e5f\u662f\u901a\u8fc7\u6307\u9488\uff08\u5373\u5f15\u7528\uff09\u9010\u4e2a\u904d\u5386\u7ed3\u70b9\u3002\u540c\u65f6\uff0c\u6811\u8fd8\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u8fd9\u5bfc\u81f4\u904d\u5386\u6811\u6bd4\u904d\u5386\u94fe\u8868\u66f4\u52a0\u590d\u6742\uff0c\u9700\u8981\u4f7f\u7528\u641c\u7d22\u7b97\u6cd5\u6765\u5b9e\u73b0\u3002</p> <p>\u5e38\u89c1\u7684\u4e8c\u53c9\u6811\u904d\u5386\u65b9\u5f0f\u6709\u5c42\u5e8f\u904d\u5386\u3001\u524d\u5e8f\u904d\u5386\u3001\u4e2d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#721","title":"7.2.1. \u5c42\u5e8f\u904d\u5386","text":"<p>\u300c\u5c42\u5e8f\u904d\u5386 Level-Order Traversal\u300d\u4ece\u9876\u81f3\u5e95\u3001\u4e00\u5c42\u4e00\u5c42\u5730\u904d\u5386\u4e8c\u53c9\u6811\uff0c\u5e76\u5728\u6bcf\u5c42\u4e2d\u6309\u7167\u4ece\u5de6\u5230\u53f3\u7684\u987a\u5e8f\u8bbf\u95ee\u7ed3\u70b9\u3002</p> <p>\u5c42\u5e8f\u904d\u5386\u672c\u8d28\u4e0a\u662f\u300c\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22 Breadth-First Traversal\u300d\uff0c\u5176\u4f53\u73b0\u7740\u4e00\u79cd\u201c\u4e00\u5708\u4e00\u5708\u5411\u5916\u201d\u7684\u5c42\u8fdb\u904d\u5386\u65b9\u5f0f\u3002</p> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u5c42\u5e8f\u904d\u5386 </p>"},{"location":"chapter_tree/binary_tree_traversal/#_1","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"<p>\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u4e00\u822c\u501f\u52a9\u300c\u961f\u5217\u300d\u6765\u5b9e\u73b0\u3002\u961f\u5217\u7684\u89c4\u5219\u662f\u201c\u5148\u8fdb\u5148\u51fa\u201d\uff0c\u5e7f\u5ea6\u4f18\u5148\u904d\u5386\u7684\u89c4\u5219\u662f \u201d\u4e00\u5c42\u5c42\u5e73\u63a8\u201c \uff0c\u4e24\u8005\u80cc\u540e\u7684\u601d\u60f3\u662f\u4e00\u81f4\u7684\u3002</p> JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree_bfs.java<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nList&lt;Integer&gt; levelOrder(TreeNode root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nQueue&lt;TreeNode&gt; queue = new LinkedList&lt;&gt;() {{ add(root); }};\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nList&lt;Integer&gt; list = new ArrayList&lt;&gt;();\nwhile (!queue.isEmpty()) {\nTreeNode node = queue.poll();  // \u961f\u5217\u51fa\u961f\nlist.add(node.val);            // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null)\nqueue.offer(node.left);    // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right != null)\nqueue.offer(node.right);   // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.cpp<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nvector&lt;int&gt; levelOrder(TreeNode* root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue&lt;TreeNode*&gt; queue;\nqueue.push(root);\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvector&lt;int&gt; vec;\nwhile (!queue.empty()) {\nTreeNode* node = queue.front();\nqueue.pop();                 // \u961f\u5217\u51fa\u961f\nvec.push_back(node-&gt;val);    // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node-&gt;left != nullptr)\nqueue.push(node-&gt;left);  // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node-&gt;right != nullptr)\nqueue.push(node-&gt;right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn vec;\n}\n</code></pre> binary_tree_bfs.py<pre><code>\"\"\" \u5c42\u5e8f\u904d\u5386 \"\"\"\ndef level_order(root: Optional[TreeNode]):\n# \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue = collections.deque()\nqueue.append(root)\n# \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nres = []\nwhile queue:\nnode = queue.popleft()       # \u961f\u5217\u51fa\u961f\nres.append(node.val)         # \u4fdd\u5b58\u7ed3\u70b9\u503c\nif node.left is not None:\nqueue.append(node.left)  # \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif node.right is not None:\nqueue.append(node.right) # \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\nreturn res\n</code></pre> binary_tree_bfs.go<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunc levelOrder(root *TreeNode) []int {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nqueue := list.New()\nqueue.PushBack(root)\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5207\u7247\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nnums := make([]int, 0)\nfor queue.Len() &gt; 0 {\n// poll\nnode := queue.Remove(queue.Front()).(*TreeNode)\n// \u4fdd\u5b58\u7ed3\u70b9\u503c\nnums = append(nums, node.Val)\nif node.Left != nil {\n// \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nqueue.PushBack(node.Left)\n}\nif node.Right != nil {\n// \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\nqueue.PushBack(node.Right)\n}\n}\nreturn nums\n}\n</code></pre> binary_tree_bfs.js<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunction levelOrder(root) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nlet queue = [root];\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nlet list = [];\nwhile (queue.length) {\nlet node = queue.shift();   // \u961f\u5217\u51fa\u961f\nlist.push(node.val);        // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left)\nqueue.push(node.left);  // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right)\nqueue.push(node.right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.ts<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunction levelOrder(root: TreeNode | null): number[] {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nconst queue = [root];\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nconst list: number[] = [];\nwhile (queue.length) {\nlet node = queue.shift() as TreeNode; // \u961f\u5217\u51fa\u961f\nlist.push(node.val); // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left) {\nqueue.push(node.left); // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif (node.right) {\nqueue.push(node.right); // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.c<pre><code>[class]{}-[func]{levelOrder}\n</code></pre> binary_tree_bfs.cs<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nList&lt;int&gt; levelOrder(TreeNode root)\n{\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nQueue&lt;TreeNode&gt; queue = new();\nqueue.Enqueue(root);\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nList&lt;int&gt; list = new();\nwhile (queue.Count != 0)\n{\nTreeNode node = queue.Dequeue(); // \u961f\u5217\u51fa\u961f\nlist.Add(node.val);              // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null)\nqueue.Enqueue(node.left);    // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\nif (node.right != null)\nqueue.Enqueue(node.right);   // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\nreturn list;\n}\n</code></pre> binary_tree_bfs.swift<pre><code>/* \u5c42\u5e8f\u904d\u5386 */\nfunc levelOrder(root: TreeNode) -&gt; [Int] {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nvar queue: [TreeNode] = [root]\n// \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvar list: [Int] = []\nwhile !queue.isEmpty {\nlet node = queue.removeFirst() // \u961f\u5217\u51fa\u961f\nlist.append(node.val) // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif let left = node.left {\nqueue.append(left) // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif let right = node.right {\nqueue.append(right) // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}\n}\nreturn list\n}\n</code></pre> binary_tree_bfs.zig<pre><code>// \u5c42\u5e8f\u904d\u5386\nfn levelOrder(comptime T: type, mem_allocator: std.mem.Allocator, root: *inc.TreeNode(T)) !std.ArrayList(T) {\n// \u521d\u59cb\u5316\u961f\u5217\uff0c\u52a0\u5165\u6839\u7ed3\u70b9\nconst L = std.TailQueue(*inc.TreeNode(T));\nvar queue = L{};\nvar root_node = try mem_allocator.create(L.Node);\nroot_node.data = root;\nqueue.append(root_node); // \u521d\u59cb\u5316\u4e00\u4e2a\u5217\u8868\uff0c\u7528\u4e8e\u4fdd\u5b58\u904d\u5386\u5e8f\u5217\nvar list = std.ArrayList(T).init(std.heap.page_allocator);\nwhile (queue.len &gt; 0) {\nvar queue_node = queue.popFirst().?;    // \u961f\u5217\u51fa\u961f\nvar node = queue_node.data;\ntry list.append(node.val);              // \u4fdd\u5b58\u7ed3\u70b9\u503c\nif (node.left != null) {\nvar tmp_node = try mem_allocator.create(L.Node);\ntmp_node.data = node.left.?;\nqueue.append(tmp_node);             // \u5de6\u5b50\u7ed3\u70b9\u5165\u961f\n}\nif (node.right != null) {\nvar tmp_node = try mem_allocator.create(L.Node);\ntmp_node.data = node.right.?;\nqueue.append(tmp_node);             // \u53f3\u5b50\u7ed3\u70b9\u5165\u961f\n}        }\nreturn list;\n}\n</code></pre>"},{"location":"chapter_tree/binary_tree_traversal/#_2","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u6240\u6709\u7ed3\u70b9\u88ab\u8bbf\u95ee\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d \\(n\\) \u4e3a\u7ed3\u70b9\u6570\u91cf\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a\u5f53\u4e3a\u6ee1\u4e8c\u53c9\u6811\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u904d\u5386\u5230\u6700\u5e95\u5c42\u524d\uff0c\u961f\u5217\u4e2d\u6700\u591a\u540c\u65f6\u5b58\u5728 \\(\\frac{n + 1}{2}\\) \u4e2a\u7ed3\u70b9\uff0c\u4f7f\u7528 \\(O(n)\\) \u7a7a\u95f4\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#722","title":"7.2.2. \u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386","text":"<p>\u76f8\u5bf9\u5730\uff0c\u524d\u3001\u4e2d\u3001\u540e\u5e8f\u904d\u5386\u7686\u5c5e\u4e8e\u300c\u6df1\u5ea6\u4f18\u5148\u904d\u5386 Depth-First Traversal\u300d\uff0c\u5176\u4f53\u73b0\u7740\u4e00\u79cd\u201c\u5148\u8d70\u5230\u5c3d\u5934\uff0c\u518d\u56de\u5934\u7ee7\u7eed\u201d\u7684\u56de\u6eaf\u904d\u5386\u65b9\u5f0f\u3002</p> <p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5de6\u4fa7\u662f\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u7684\u7684\u793a\u610f\u56fe\uff0c\u53f3\u4e0a\u65b9\u662f\u5bf9\u5e94\u7684\u9012\u5f52\u5b9e\u73b0\u4ee3\u7801\u3002\u6df1\u5ea6\u4f18\u5148\u904d\u5386\u5c31\u50cf\u662f\u7ed5\u7740\u6574\u4e2a\u4e8c\u53c9\u6811\u7684\u5916\u56f4\u201c\u8d70\u201d\u4e00\u5708\uff0c\u8d70\u7684\u8fc7\u7a0b\u4e2d\uff0c\u5728\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u4f1a\u9047\u5230\u4e09\u4e2a\u4f4d\u7f6e\uff0c\u5206\u522b\u5bf9\u5e94\u524d\u5e8f\u904d\u5386\u3001\u4e2d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386\u3002</p> <p></p> <p> Fig. \u4e8c\u53c9\u6811\u7684\u524d / \u4e2d / \u540e\u5e8f\u904d\u5386 </p> \u4f4d\u7f6e \u542b\u4e49 \u6b64\u5904\u8bbf\u95ee\u7ed3\u70b9\u65f6\u5bf9\u5e94 \u6a59\u8272\u5706\u5708\u5904 \u521a\u8fdb\u5165\u6b64\u7ed3\u70b9\uff0c\u5373\u5c06\u8bbf\u95ee\u8be5\u7ed3\u70b9\u7684\u5de6\u5b50\u6811 \u524d\u5e8f\u904d\u5386 Pre-Order Traversal \u84dd\u8272\u5706\u5708\u5904 \u5df2\u8bbf\u95ee\u5b8c\u5de6\u5b50\u6811\uff0c\u5373\u5c06\u8bbf\u95ee\u53f3\u5b50\u6811 \u4e2d\u5e8f\u904d\u5386 In-Order Traversal \u7d2b\u8272\u5706\u5708\u5904 \u5df2\u8bbf\u95ee\u5b8c\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\uff0c\u5373\u5c06\u8fd4\u56de \u540e\u5e8f\u904d\u5386 Post-Order Traversal"},{"location":"chapter_tree/binary_tree_traversal/#_3","title":"\u7b97\u6cd5\u5b9e\u73b0","text":"JavaC++PythonGoJavaScriptTypeScriptCC#SwiftZig binary_tree_dfs.java<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.add(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.add(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode root) {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.add(root.val);\n}\n</code></pre> binary_tree_dfs.cpp<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nvec.push_back(root-&gt;val);\npreOrder(root-&gt;left);\npreOrder(root-&gt;right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root-&gt;left);\nvec.push_back(root-&gt;val);\ninOrder(root-&gt;right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode* root) {\nif (root == nullptr) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root-&gt;left);\npostOrder(root-&gt;right);\nvec.push_back(root-&gt;val);\n}\n</code></pre> binary_tree_dfs.py<pre><code>\"\"\" \u524d\u5e8f\u904d\u5386 \"\"\"\ndef pre_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nres.append(root.val)\npre_order(root=root.left)\npre_order(root=root.right)\n\"\"\" \u4e2d\u5e8f\u904d\u5386 \"\"\"\ndef in_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\nin_order(root=root.left)\nres.append(root.val)\nin_order(root=root.right)\n\"\"\" \u540e\u5e8f\u904d\u5386 \"\"\"\ndef post_order(root: Optional[TreeNode]):\nif root is None:\nreturn\n# \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npost_order(root=root.left)\npost_order(root=root.right)\nres.append(root.val)\n</code></pre> binary_tree_dfs.go<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunc preOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nnums = append(nums, node.Val)\npreOrder(node.Left)\npreOrder(node.Right)\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunc inOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(node.Left)\nnums = append(nums, node.Val)\ninOrder(node.Right)\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunc postOrder(node *TreeNode) {\nif node == nil {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(node.Left)\npostOrder(node.Right)\nnums = append(nums, node.Val)\n}\n</code></pre> binary_tree_dfs.js<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunction preOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.push(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunction inOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.push(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunction postOrder(root) {\nif (root === null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.push(root.val);\n}\n</code></pre> binary_tree_dfs.ts<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunction preOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.push(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunction inOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.push(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunction postOrder(root: TreeNode | null): void {\nif (root === null) {\nreturn;\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.push(root.val);\n}\n</code></pre> binary_tree_dfs.c<pre><code>[class]{}-[func]{preOrder}\n[class]{}-[func]{inOrder}\n[class]{}-[func]{postOrder}\n</code></pre> binary_tree_dfs.cs<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nvoid preOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.Add(root.val);\npreOrder(root.left);\npreOrder(root.right);\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nvoid inOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root.left);\nlist.Add(root.val);\ninOrder(root.right);\n}\n/* \u540e\u5e8f\u904d\u5386 */\nvoid postOrder(TreeNode? root)\n{\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root.left);\npostOrder(root.right);\nlist.Add(root.val);\n}\n</code></pre> binary_tree_dfs.swift<pre><code>/* \u524d\u5e8f\u904d\u5386 */\nfunc preOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\nlist.append(root.val)\npreOrder(root: root.left)\npreOrder(root: root.right)\n}\n/* \u4e2d\u5e8f\u904d\u5386 */\nfunc inOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ninOrder(root: root.left)\nlist.append(root.val)\ninOrder(root: root.right)\n}\n/* \u540e\u5e8f\u904d\u5386 */\nfunc postOrder(root: TreeNode?) {\nguard let root = root else {\nreturn\n}\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\npostOrder(root: root.left)\npostOrder(root: root.right)\nlist.append(root.val)\n}\n</code></pre> binary_tree_dfs.zig<pre><code>// \u524d\u5e8f\u904d\u5386\nfn preOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u6839\u7ed3\u70b9 -&gt; \u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811\ntry list.append(root.?.val);\ntry preOrder(T, root.?.left);\ntry preOrder(T, root.?.right);\n}\n// \u4e2d\u5e8f\u904d\u5386\nfn inOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9 -&gt; \u53f3\u5b50\u6811\ntry inOrder(T, root.?.left);\ntry list.append(root.?.val);\ntry inOrder(T, root.?.right);\n}\n// \u540e\u5e8f\u904d\u5386\nfn postOrder(comptime T: type, root: ?*inc.TreeNode(T)) !void {\nif (root == null) return;\n// \u8bbf\u95ee\u4f18\u5148\u7ea7\uff1a\u5de6\u5b50\u6811 -&gt; \u53f3\u5b50\u6811 -&gt; \u6839\u7ed3\u70b9\ntry postOrder(T, root.?.left);\ntry postOrder(T, root.?.right);\ntry list.append(root.?.val);\n}\n</code></pre> <p>Note</p> <p>\u4f7f\u7528\u5faa\u73af\u4e00\u6837\u53ef\u4ee5\u5b9e\u73b0\u524d\u3001\u4e2d\u3001\u540e\u5e8f\u904d\u5386\uff0c\u4f46\u4ee3\u7801\u76f8\u5bf9\u7e41\u7410\uff0c\u6709\u5174\u8da3\u7684\u540c\u5b66\u53ef\u4ee5\u81ea\u884c\u5b9e\u73b0\u3002</p>"},{"location":"chapter_tree/binary_tree_traversal/#_4","title":"\u590d\u6742\u5ea6\u5206\u6790","text":"<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1a\u6240\u6709\u7ed3\u70b9\u88ab\u8bbf\u95ee\u4e00\u6b21\uff0c\u4f7f\u7528 \\(O(n)\\) \u65f6\u95f4\uff0c\u5176\u4e2d \\(n\\) \u4e3a\u7ed3\u70b9\u6570\u91cf\u3002</p> <p>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a\u5f53\u6811\u9000\u5316\u4e3a\u94fe\u8868\u65f6\u8fbe\u5230\u6700\u5dee\u60c5\u51b5\uff0c\u9012\u5f52\u6df1\u5ea6\u8fbe\u5230 \\(n\\) \uff0c\u7cfb\u7edf\u4f7f\u7528 \\(O(n)\\) \u6808\u5e27\u7a7a\u95f4\u3002</p>"},{"location":"chapter_tree/summary/","title":"7.5. \u5c0f\u7ed3","text":"<ul> <li>\u4e8c\u53c9\u6811\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784\uff0c\u4ee3\u8868\u7740\u201c\u4e00\u5206\u4e3a\u4e8c\u201d\u7684\u5206\u6cbb\u903b\u8f91\u3002\u4e8c\u53c9\u6811\u7684\u7ed3\u70b9\u5305\u542b\u300c\u503c\u300d\u548c\u4e24\u4e2a\u300c\u6307\u9488\u300d\uff0c\u5206\u522b\u6307\u5411\u5de6\u5b50\u7ed3\u70b9\u548c\u53f3\u5b50\u7ed3\u70b9\u3002</li> <li>\u9009\u5b9a\u4e8c\u53c9\u6811\u4e2d\u67d0\u7ed3\u70b9\uff0c\u5c06\u5176\u5de6\uff08\u53f3\uff09\u5b50\u7ed3\u70b9\u4ee5\u4e0b\u5f62\u6210\u7684\u6811\u79f0\u4e3a\u5de6\uff08\u53f3\uff09\u5b50\u6811\u3002</li> <li>\u4e8c\u53c9\u6811\u7684\u672f\u8bed\u8f83\u591a\uff0c\u5305\u62ec\u6839\u7ed3\u70b9\u3001\u53f6\u7ed3\u70b9\u3001\u5c42\u3001\u5ea6\u3001\u8fb9\u3001\u9ad8\u5ea6\u3001\u6df1\u5ea6\u7b49\u3002</li> <li>\u4e8c\u53c9\u6811\u7684\u521d\u59cb\u5316\u3001\u7ed3\u70b9\u63d2\u5165\u3001\u7ed3\u70b9\u5220\u9664\u64cd\u4f5c\u4e0e\u94fe\u8868\u7684\u64cd\u4f5c\u65b9\u6cd5\u7c7b\u4f3c\u3002</li> <li>\u5e38\u89c1\u7684\u4e8c\u53c9\u6811\u7c7b\u578b\u5305\u62ec\u5b8c\u7f8e\u4e8c\u53c9\u6811\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\u3001\u5b8c\u6ee1\u4e8c\u53c9\u6811\u3001\u5e73\u8861\u4e8c\u53c9\u6811\u3002\u5b8c\u7f8e\u4e8c\u53c9\u6811\u662f\u7406\u60f3\u72b6\u6001\uff0c\u94fe\u8868\u5219\u662f\u9000\u5316\u540e\u7684\u6700\u5dee\u72b6\u6001\u3002</li> <li> <p>\u4e8c\u53c9\u6811\u53ef\u4ee5\u4f7f\u7528\u6570\u7ec4\u8868\u793a\uff0c\u5177\u4f53\u505a\u6cd5\u662f\u5c06\u7ed3\u70b9\u503c\u548c\u7a7a\u4f4d\u6309\u7167\u5c42\u5e8f\u904d\u5386\u7684\u987a\u5e8f\u6392\u5217\uff0c\u5e76\u57fa\u4e8e\u7236\u7ed3\u70b9\u548c\u5b50\u7ed3\u70b9\u4e4b\u95f4\u7684\u7d22\u5f15\u6620\u5c04\u516c\u5f0f\u5b9e\u73b0\u6307\u9488\u3002</p> </li> <li> <p>\u4e8c\u53c9\u6811\u5c42\u5e8f\u904d\u5386\u662f\u4e00\u79cd\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\uff0c\u4f53\u73b0\u7740\u201c\u4e00\u5708\u4e00\u5708\u5411\u5916\u201d\u7684\u5c42\u8fdb\u5f0f\u904d\u5386\u65b9\u5f0f\uff0c\u901a\u5e38\u501f\u52a9\u961f\u5217\u6765\u5b9e\u73b0\u3002</p> </li> <li>\u524d\u5e8f\u3001\u4e2d\u5e8f\u3001\u540e\u5e8f\u904d\u5386\u662f\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\uff0c\u4f53\u73b0\u7740\u201c\u8d70\u5230\u5934\u3001\u518d\u56de\u5934\u7ee7\u7eed\u201d\u7684\u56de\u6eaf\u904d\u5386\u65b9\u5f0f\uff0c\u901a\u5e38\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\u3002</li> <li>\u4e8c\u53c9\u641c\u7d22\u6811\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u5143\u7d20\u67e5\u627e\u6570\u636e\u7ed3\u6784\uff0c\u67e5\u627e\u3001\u63d2\u5165\u3001\u5220\u9664\u64cd\u4f5c\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7686\u4e3a \\(O(\\log n)\\) \u3002\u4e8c\u53c9\u641c\u7d22\u6811\u9000\u5316\u4e3a\u94fe\u8868\u540e\uff0c\u5404\u9879\u65f6\u95f4\u590d\u6742\u5ea6\u52a3\u5316\u81f3 \\(O(n)\\) \uff0c\u56e0\u6b64\u5982\u4f55\u907f\u514d\u9000\u5316\u662f\u975e\u5e38\u91cd\u8981\u7684\u8bfe\u9898\u3002</li> <li>AVL \u6811\u53c8\u79f0\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811\uff0c\u5176\u901a\u8fc7\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u5f97\u5728\u4e0d\u65ad\u63d2\u5165\u4e0e\u5220\u9664\u7ed3\u70b9\u540e\uff0c\u4ecd\u7136\u53ef\u4ee5\u4fdd\u6301\u4e8c\u53c9\u6811\u7684\u5e73\u8861\uff08\u4e0d\u9000\u5316\uff09\u3002</li> <li>AVL \u6811\u7684\u65cb\u8f6c\u64cd\u4f5c\u5206\u4e3a\u53f3\u65cb\u3001\u5de6\u65cb\u3001\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u3001\u5148\u5de6\u65cb\u540e\u53f3\u65cb\u3002\u5728\u63d2\u5165\u6216\u5220\u9664\u7ed3\u70b9\u540e\uff0cAVL \u6811\u4f1a\u4ece\u5e95\u81f3\u9876\u5730\u6267\u884c\u65cb\u8f6c\u64cd\u4f5c\uff0c\u4f7f\u6811\u6062\u590d\u5e73\u8861\u3002</li> </ul>"}]}
\ No newline at end of file
diff --git a/sitemap.xml.gz b/sitemap.xml.gz
index 1a868feecadc083778423782272a51127306f6c8..049c499f8bd6599c1fe8af45719d6d6312d80005 100644
GIT binary patch
delta 16
XcmaFN@|cBPzMF%iP3i4M_82ArFJlEe

delta 16
XcmaFN@|cBPzMF$%^`kc%*<+XhG~osx