From db7975d51f3a35bd71f4f097f8fbea36b0b7f759 Mon Sep 17 00:00:00 2001 From: krahets Date: Wed, 30 Aug 2023 02:52:50 +0800 Subject: [PATCH] Fix some figures. --- ...tree_step10.png => built_tree_overall.png} | Bin .../build_binary_tree_problem.md | 5 +++-- .../max_product_cutting_greedy_infer2.png | Bin 37269 -> 39437 bytes .../max_product_cutting_greedy_infer3.png | Bin 39437 -> 0 bytes .../max_product_cutting_problem.md | 2 +- ...png => binary_search_dictionary_step1.png} | Bin ...png => binary_search_dictionary_step2.png} | Bin ...png => binary_search_dictionary_step3.png} | Bin ...png => binary_search_dictionary_step4.png} | Bin ...png => binary_search_dictionary_step5.png} | Bin .../algorithms_are_everywhere.md | 10 +++++----- 11 files changed, 9 insertions(+), 8 deletions(-) rename docs/chapter_divide_and_conquer/build_binary_tree_problem.assets/{built_tree_step10.png => built_tree_overall.png} (100%) delete mode 100644 docs/chapter_greedy/max_product_cutting_problem.assets/max_product_cutting_greedy_infer3.png rename docs/chapter_introduction/algorithms_are_everywhere.assets/{binary_search_dictionary_step_1.png => binary_search_dictionary_step1.png} (100%) rename docs/chapter_introduction/algorithms_are_everywhere.assets/{binary_search_dictionary_step_2.png => binary_search_dictionary_step2.png} (100%) rename docs/chapter_introduction/algorithms_are_everywhere.assets/{binary_search_dictionary_step_3.png => binary_search_dictionary_step3.png} (100%) rename docs/chapter_introduction/algorithms_are_everywhere.assets/{binary_search_dictionary_step_4.png => binary_search_dictionary_step4.png} (100%) rename docs/chapter_introduction/algorithms_are_everywhere.assets/{binary_search_dictionary_step_5.png => binary_search_dictionary_step5.png} (100%) diff --git a/docs/chapter_divide_and_conquer/build_binary_tree_problem.assets/built_tree_step10.png b/docs/chapter_divide_and_conquer/build_binary_tree_problem.assets/built_tree_overall.png similarity index 100% rename from docs/chapter_divide_and_conquer/build_binary_tree_problem.assets/built_tree_step10.png rename to docs/chapter_divide_and_conquer/build_binary_tree_problem.assets/built_tree_overall.png diff --git a/docs/chapter_divide_and_conquer/build_binary_tree_problem.md b/docs/chapter_divide_and_conquer/build_binary_tree_problem.md index fe909e918..a7a264b98 100644 --- a/docs/chapter_divide_and_conquer/build_binary_tree_problem.md +++ b/docs/chapter_divide_and_conquer/build_binary_tree_problem.md @@ -182,8 +182,9 @@ === "<9>" ![built_tree_step9](build_binary_tree_problem.assets/built_tree_step9.png) -=== "<10>" - ![built_tree_step10](build_binary_tree_problem.assets/built_tree_step10.png) +每个递归函数内的前序遍历 `preorder` 和中序遍历 `inorder` 的划分结果如下图所示。 + +![每个递归函数中的划分结果](build_binary_tree_problem.assets/built_tree_overall.png) 设树的节点数量为 $n$ ,初始化每一个节点(执行一个递归函数 `dfs()` )使用 $O(1)$ 时间。**因此总体时间复杂度为 $O(n)$** 。 diff --git a/docs/chapter_greedy/max_product_cutting_problem.assets/max_product_cutting_greedy_infer2.png b/docs/chapter_greedy/max_product_cutting_problem.assets/max_product_cutting_greedy_infer2.png index 25febf38c8e77b03589b4f0a3630687a14af6404..1f06284ff6b0010e61831e85d7873027081dd2ce 100644 GIT binary patch literal 39437 zcmeFZcTki|*DuNpgCvm*O3ok|B}p7Xl1h{$Sy4$MAUQK;B`FFhS&*D0BXLxMfCME; z90bWZXE^;Z<97Rg=bXBAtL{Iy-o0zr%x0eMXZ7l}ek*oA)zMNTBVi!H!^0!fP`{vu zherUu!aIoI-~-8e5e7bBu6k-pczJD1)8Ky|+%(p>rKyR>555!O5x}VM@S#V*zj!c) zqruRSi!jE2zU#sGaL<4_AKT#}j-JQEGXbB_KUUyBXbkofKMD3{#w7UfrwQQ`Oy@J`f0|G^>!PA~$x@iZ=+*Y|?W4H1`f8F-6YEl3KS{rvu{ z=skEL5y?FPVX-={13s6}Pjr>&LN&f7T)uv=)hKvN>}el;VdhiS>r`Vk4csIM6%G=9 zKDIM+yK`p;=MNv>Ig}-?5B7@zxEvq@&+F>zLKm+$QZkUo) z+q*NDM2on@NkSBtjBEV1vkbC%czAr=7_W+IhQdwD?hMuV@9uA66lG)>)S6jyg@PmH zS@gvIdNo@|B{HGx7U^=F;;mb^qJ&IK7i)I&%qu-U7Q3Mk(s~%*#cHV-T3VHj0d81Z z3`>17bG4_k#@};@rXy|cy%~@7-e4qsf!D}sS{tyxqkexfhu`#^Qw_uCxW)3Zu<{vM zNy#Xi+FWAiIaZM|(Ec 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zE{gNj^E{Lfsi~|kN6L!mK0`Xy;{WC+z!7whLF2*#US2b%*p^)PruoqaBua&09p0oX z)jK-)YR(TM9U>onw#Vlm{?x+$R#uz{m6p;F0vzksX_4RP9l>F{QN+C_p9ZiNfgHOE zAQjBzT|P)XO(12HkA+_u`tLOg!uZ87QY79#pyVD8@^4^sBW&t5x!|wHOSJ@wwe8I} z`@F~aU_CU;5S&E9uH!nCy52j`f9jaQ@D|il{f~3tZaCRMiC{Gm%S3lZndb03CKe)} zsKq$E0cenjp!006NI!MpUgQ|#vQ7qgfXsZ%n%NHjzlbIkgCP^@)@_qF`YB1xnci5l z!$#CTY%zbJ6qDR^S09}D1w2ec^mB&f zY9T1k8ug~-m|q17B%adS6!WnMDLVm5=VE&Zfc#1ish0B+I>=2^N_nVQ>04Ine0QVq zkJFlw=TWdmX0doKR|=dMdx*{d$EoV;knz^doBUm6)L5@MpgP`A<})@eFV^4T#KQSN z(hAYLsD9fITRwFHcL9X|ZjL2*VWGDmF!0MBUTD>{}@DEhzHd>`UvJ_KB7?; zw{H#L|6++YER0vi1yivYPskkdmX(hCnOaP}nl0wIw|yuLci4hD5W(n}^8uGmW46Dd zQSg!sM;naB>@8Jo{ym}~jQcDaWT_v8WG}i!FkDv--4@)2*L`K(x3wSqUTDn{VqAKt zfc_&yj7L#4)+T2@T;$)BqYH*(hqmPVG77H;qjYaS6A_6z%G69A;tZ;eX<|6rU+U1* z)Ra?nm-8EynpP`dd*iA8-#hL;{Rrz5Su?jaE==hmD!{i5" - ![查字典步骤](algorithms_are_everywhere.assets/binary_search_dictionary_step_1.png) + ![查字典步骤](algorithms_are_everywhere.assets/binary_search_dictionary_step1.png) === "<2>" - ![binary_search_dictionary_step_2](algorithms_are_everywhere.assets/binary_search_dictionary_step_2.png) + ![binary_search_dictionary_step2](algorithms_are_everywhere.assets/binary_search_dictionary_step2.png) === "<3>" - ![binary_search_dictionary_step_3](algorithms_are_everywhere.assets/binary_search_dictionary_step_3.png) + ![binary_search_dictionary_step3](algorithms_are_everywhere.assets/binary_search_dictionary_step3.png) === "<4>" - ![binary_search_dictionary_step_4](algorithms_are_everywhere.assets/binary_search_dictionary_step_4.png) + ![binary_search_dictionary_step4](algorithms_are_everywhere.assets/binary_search_dictionary_step4.png) === "<5>" - ![binary_search_dictionary_step_5](algorithms_are_everywhere.assets/binary_search_dictionary_step_5.png) + ![binary_search_dictionary_step5](algorithms_are_everywhere.assets/binary_search_dictionary_step5.png) 查阅字典这个小学生必备技能,实际上就是著名的二分查找算法。从数据结构的角度,我们可以把字典视为一个已排序的“数组”;从算法的角度,我们可以将上述查字典的一系列操作看作是“二分查找”。