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第 8 章 &nbsp; 堆積
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第 9 章 &nbsp;
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9.2 &nbsp; 圖基礎操作
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第 10 章 &nbsp; 搜尋
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10.2 &nbsp; 二分搜尋插入點
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10.3 &nbsp; 二分搜尋邊界
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10.4 &nbsp; 雜湊最佳化策略
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10.5 &nbsp; 重識搜尋演算法
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第 11 章 &nbsp; 排序
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11.2 &nbsp; 選擇排序
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11.7 &nbsp; 堆積排序
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11.8 &nbsp; 桶排序
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11.10 &nbsp; 基數排序
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第 12 章 &nbsp; 分治
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12.1 &nbsp; 分治演算法
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第 13 章 &nbsp; 回溯
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第 14 章 &nbsp; 動態規劃
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14.1 &nbsp; 初探動態規劃
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<h1 id="54">5.4 &nbsp; 小結<a class="headerlink" href="#54" title="Permanent link">&para;</a></h1>
<h3 id="1">1. &nbsp; 重點回顧<a class="headerlink" href="#1" title="Permanent link">&para;</a></h3>
<ul>
<li>堆疊是一種遵循先入後出原則的資料結構,可透過陣列或鏈結串列來實現。</li>
<li>在時間效率方面,堆疊的陣列實現具有較高的平均效率,但在擴容過程中,單次入堆疊操作的時間複雜度會劣化至 <span class="arithmatex">\(O(n)\)</span> 。相比之下,堆疊的鏈結串列實現具有更為穩定的效率表現。</li>
<li>在空間效率方面,堆疊的陣列實現可能導致一定程度的空間浪費。但需要注意的是,鏈結串列節點所佔用的記憶體空間比陣列元素更大。</li>
<li>佇列是一種遵循先入先出原則的資料結構,同樣可以透過陣列或鏈結串列來實現。在時間效率和空間效率的對比上,佇列的結論與前述堆疊的結論相似。</li>
<li>雙向佇列是一種具有更高自由度的佇列,它允許在兩端進行元素的新增和刪除操作。</li>
</ul>
<h3 id="2-q-a">2. &nbsp; Q &amp; A<a class="headerlink" href="#2-q-a" title="Permanent link">&para;</a></h3>
<p><strong>Q</strong>:瀏覽器的前進後退是否是雙向鏈結串列實現?</p>
<p>瀏覽器的前進後退功能本質上是“堆疊”的體現。當用戶訪問一個新頁面時,該頁面會被新增到堆疊頂;當用戶點選後退按鈕時,該頁面會從堆疊頂彈出。使用雙向佇列可以方便地實現一些額外操作,這個在“雙向佇列”章節有提到。</p>
<p><strong>Q</strong>:在出堆疊後,是否需要釋放出堆疊節點的記憶體?</p>
<p>如果後續仍需要使用彈出節點,則不需要釋放記憶體。若之後不需要用到,<code>Java</code><code>Python</code> 等語言擁有自動垃圾回收機制,因此不需要手動釋放記憶體;在 <code>C</code><code>C++</code> 中需要手動釋放記憶體。</p>
<p><strong>Q</strong>:雙向佇列像是兩個堆疊拼接在了一起,它的用途是什麼?</p>
<p>雙向佇列就像是堆疊和佇列的組合或兩個堆疊拼在了一起。它表現的是堆疊 + 佇列的邏輯,因此可以實現堆疊與佇列的所有應用,並且更加靈活。</p>
<p><strong>Q</strong>撤銷undo和反撤銷redo具體是如何實現的</p>
<p>使用兩個堆疊,堆疊 <code>A</code> 用於撤銷,堆疊 <code>B</code> 用於反撤銷。</p>
<ol>
<li>每當使用者執行一個操作,將這個操作壓入堆疊 <code>A</code> ,並清空堆疊 <code>B</code></li>
<li>當用戶執行“撤銷”時,從堆疊 <code>A</code> 中彈出最近的操作,並將其壓入堆疊 <code>B</code></li>
<li>當用戶執行“反撤銷”時,從堆疊 <code>B</code> 中彈出最近的操作,並將其壓入堆疊 <code>A</code></li>
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