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第 7 章 &nbsp; 樹
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7.1 &nbsp; 二元樹
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7.2 &nbsp; 二元樹走訪
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7.3 &nbsp; 二元樹陣列表示
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7.4 &nbsp; 二元搜尋樹
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7.5 &nbsp; AVL *
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7.6 &nbsp; 小結
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第 8 章 &nbsp; 堆積
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第 8 章 &nbsp; 堆積
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8.1 &nbsp; 堆積
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8.2 &nbsp; 建堆積操作
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第 9 章 &nbsp; 圖
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第 9 章 &nbsp; 圖
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9.1 &nbsp; 圖
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9.2 &nbsp; 圖基礎操作
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9.3 &nbsp; 圖的走訪
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第 10 章 &nbsp; 搜尋
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第 10 章 &nbsp; 搜尋
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10.1 &nbsp; 二分搜尋
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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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10.6 &nbsp; 小結
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第 11 章 &nbsp; 排序
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第 11 章 &nbsp; 排序
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11.1 &nbsp; 排序演算法
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11.2 &nbsp; 選擇排序
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11.3 &nbsp; 泡沫排序
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11.4 &nbsp; 插入排序
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11.5 &nbsp; 快速排序
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11.6 &nbsp; 合併排序
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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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11.9 &nbsp; 計數排序
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11.10 &nbsp; 基數排序
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11.11 &nbsp; 小結
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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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12.2 &nbsp; 分治搜尋策略
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12.3 &nbsp; 構建樹問題
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12.4 &nbsp; 河內塔問題
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12.5 &nbsp; 小結
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第 13 章 &nbsp; 回溯
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13.1 &nbsp; 回溯演算法
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13.2 &nbsp; 全排列問題
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13.3 &nbsp; 子集和問題
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13.4 &nbsp; N 皇后問題
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13.5 &nbsp; 小結
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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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14.2 &nbsp; DP 問題特性
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<h1 id="02">0.2 &nbsp; 如何使用本書<a class="headerlink" href="#02" title="Permanent link">&para;</a></h1>
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<div class="highlight"><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="sd">&quot;&quot;&quot;標題註釋，用於標註函式、類別、測試樣例等&quot;&quot;&quot;</span>
<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a>
<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a><span class="c1"># 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a>
<a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a><span class="sd">&quot;&quot;&quot;</span>
<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a><span class="sd">多行</span>
<a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a><span class="sd">註釋</span>
<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a><span class="sd">&quot;&quot;&quot;</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-1-1" name="__codelineno-1-1" href="#__codelineno-1-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-1-2" name="__codelineno-1-2" href="#__codelineno-1-2"></a>
<a id="__codelineno-1-3" name="__codelineno-1-3" href="#__codelineno-1-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-1-4" name="__codelineno-1-4" href="#__codelineno-1-4"></a>
<a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a><span class="cm">/**</span>
<a id="__codelineno-1-6" name="__codelineno-1-6" href="#__codelineno-1-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-1-7" name="__codelineno-1-7" href="#__codelineno-1-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-1-8" name="__codelineno-1-8" href="#__codelineno-1-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a>
<a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a>
<a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a><span class="cm">/**</span>
<a id="__codelineno-2-6" name="__codelineno-2-6" href="#__codelineno-2-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-2-7" name="__codelineno-2-7" href="#__codelineno-2-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-2-8" name="__codelineno-2-8" href="#__codelineno-2-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-3-1" name="__codelineno-3-1" href="#__codelineno-3-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a>
<a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a>
<a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a><span class="cm">/**</span>
<a id="__codelineno-3-6" name="__codelineno-3-6" href="#__codelineno-3-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-3-7" name="__codelineno-3-7" href="#__codelineno-3-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-3-8" name="__codelineno-3-8" href="#__codelineno-3-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-4-1" name="__codelineno-4-1" href="#__codelineno-4-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-4-2" name="__codelineno-4-2" href="#__codelineno-4-2"></a>
<a id="__codelineno-4-3" name="__codelineno-4-3" href="#__codelineno-4-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-4-4" name="__codelineno-4-4" href="#__codelineno-4-4"></a>
<a id="__codelineno-4-5" name="__codelineno-4-5" href="#__codelineno-4-5"></a><span class="cm">/**</span>
<a id="__codelineno-4-6" name="__codelineno-4-6" href="#__codelineno-4-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-4-7" name="__codelineno-4-7" href="#__codelineno-4-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-4-8" name="__codelineno-4-8" href="#__codelineno-4-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-5-1" name="__codelineno-5-1" href="#__codelineno-5-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a>
<a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a>
<a id="__codelineno-5-5" name="__codelineno-5-5" href="#__codelineno-5-5"></a><span class="cm">/**</span>
<a id="__codelineno-5-6" name="__codelineno-5-6" href="#__codelineno-5-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-5-7" name="__codelineno-5-7" href="#__codelineno-5-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-5-8" name="__codelineno-5-8" href="#__codelineno-5-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-6-1" name="__codelineno-6-1" href="#__codelineno-6-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-6-2" name="__codelineno-6-2" href="#__codelineno-6-2"></a>
<a id="__codelineno-6-3" name="__codelineno-6-3" href="#__codelineno-6-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-6-4" name="__codelineno-6-4" href="#__codelineno-6-4"></a>
<a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a><span class="cm">/**</span>
<a id="__codelineno-6-6" name="__codelineno-6-6" href="#__codelineno-6-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-6-7" name="__codelineno-6-7" href="#__codelineno-6-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-6-8" name="__codelineno-6-8" href="#__codelineno-6-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-7-1" name="__codelineno-7-1" href="#__codelineno-7-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-7-2" name="__codelineno-7-2" href="#__codelineno-7-2"></a>
<a id="__codelineno-7-3" name="__codelineno-7-3" href="#__codelineno-7-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-7-4" name="__codelineno-7-4" href="#__codelineno-7-4"></a>
<a id="__codelineno-7-5" name="__codelineno-7-5" href="#__codelineno-7-5"></a><span class="cm">/**</span>
<a id="__codelineno-7-6" name="__codelineno-7-6" href="#__codelineno-7-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-7-7" name="__codelineno-7-7" href="#__codelineno-7-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-7-8" name="__codelineno-7-8" href="#__codelineno-7-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-8-1" name="__codelineno-8-1" href="#__codelineno-8-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-8-2" name="__codelineno-8-2" href="#__codelineno-8-2"></a>
<a id="__codelineno-8-3" name="__codelineno-8-3" href="#__codelineno-8-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-8-4" name="__codelineno-8-4" href="#__codelineno-8-4"></a>
<a id="__codelineno-8-5" name="__codelineno-8-5" href="#__codelineno-8-5"></a><span class="cm">/**</span>
<a id="__codelineno-8-6" name="__codelineno-8-6" href="#__codelineno-8-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-8-7" name="__codelineno-8-7" href="#__codelineno-8-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-8-8" name="__codelineno-8-8" href="#__codelineno-8-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-9-1" name="__codelineno-9-1" href="#__codelineno-9-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-9-2" name="__codelineno-9-2" href="#__codelineno-9-2"></a>
<a id="__codelineno-9-3" name="__codelineno-9-3" href="#__codelineno-9-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-9-4" name="__codelineno-9-4" href="#__codelineno-9-4"></a>
<a id="__codelineno-9-5" name="__codelineno-9-5" href="#__codelineno-9-5"></a><span class="sd">/**</span>
<a id="__codelineno-9-6" name="__codelineno-9-6" href="#__codelineno-9-6"></a><span class="sd"> * 多行</span>
<a id="__codelineno-9-7" name="__codelineno-9-7" href="#__codelineno-9-7"></a><span class="sd"> * 註釋</span>
<a id="__codelineno-9-8" name="__codelineno-9-8" href="#__codelineno-9-8"></a><span class="sd"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-10-1" name="__codelineno-10-1" href="#__codelineno-10-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-10-2" name="__codelineno-10-2" href="#__codelineno-10-2"></a>
<a id="__codelineno-10-3" name="__codelineno-10-3" href="#__codelineno-10-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-10-4" name="__codelineno-10-4" href="#__codelineno-10-4"></a>
<a id="__codelineno-10-5" name="__codelineno-10-5" href="#__codelineno-10-5"></a><span class="cm">/**</span>
<a id="__codelineno-10-6" name="__codelineno-10-6" href="#__codelineno-10-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-10-7" name="__codelineno-10-7" href="#__codelineno-10-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-10-8" name="__codelineno-10-8" href="#__codelineno-10-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-11-1" name="__codelineno-11-1" href="#__codelineno-11-1"></a><span class="cm">/* 標題註釋，用於標註函式、類別、測試樣例等 */</span>
<a id="__codelineno-11-2" name="__codelineno-11-2" href="#__codelineno-11-2"></a>
<a id="__codelineno-11-3" name="__codelineno-11-3" href="#__codelineno-11-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-11-4" name="__codelineno-11-4" href="#__codelineno-11-4"></a>
<a id="__codelineno-11-5" name="__codelineno-11-5" href="#__codelineno-11-5"></a><span class="cm">/**</span>
<a id="__codelineno-11-6" name="__codelineno-11-6" href="#__codelineno-11-6"></a><span class="cm"> * 多行</span>
<a id="__codelineno-11-7" name="__codelineno-11-7" href="#__codelineno-11-7"></a><span class="cm"> * 註釋</span>
<a id="__codelineno-11-8" name="__codelineno-11-8" href="#__codelineno-11-8"></a><span class="cm"> */</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-12-1" name="__codelineno-12-1" href="#__codelineno-12-1"></a><span class="c1">### 標題註釋，用於標註函式、類別、測試樣例等 ###</span>
<a id="__codelineno-12-2" name="__codelineno-12-2" href="#__codelineno-12-2"></a>
<a id="__codelineno-12-3" name="__codelineno-12-3" href="#__codelineno-12-3"></a><span class="c1"># 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-12-4" name="__codelineno-12-4" href="#__codelineno-12-4"></a>
<a id="__codelineno-12-5" name="__codelineno-12-5" href="#__codelineno-12-5"></a><span class="c1"># 多行</span>
<a id="__codelineno-12-6" name="__codelineno-12-6" href="#__codelineno-12-6"></a><span class="c1"># 註釋</span>
</code></pre></div>
</div>
<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-13-1" name="__codelineno-13-1" href="#__codelineno-13-1"></a><span class="c1">// 標題註釋，用於標註函式、類別、測試樣例等</span>
<a id="__codelineno-13-2" name="__codelineno-13-2" href="#__codelineno-13-2"></a>
<a id="__codelineno-13-3" name="__codelineno-13-3" href="#__codelineno-13-3"></a><span class="c1">// 內容註釋，用於詳解程式碼</span>
<a id="__codelineno-13-4" name="__codelineno-13-4" href="#__codelineno-13-4"></a>
<a id="__codelineno-13-5" name="__codelineno-13-5" href="#__codelineno-13-5"></a><span class="c1">// 多行</span>
<a id="__codelineno-13-6" name="__codelineno-13-6" href="#__codelineno-13-6"></a><span class="c1">// 註釋</span>
</code></pre></div>
</div>
</div>
</div>
<h2 id="022">0.2.2 &nbsp; 在動畫圖解中高效學習<a class="headerlink" href="#022" title="Permanent link">&para;</a></h2>
<p>相較於文字，影片和圖片具有更高的資訊密度和結構化程度，更易於理解。在本書中，<strong>重點和難點知識將主要透過動畫以圖解形式展示</strong>，而文字則作為解釋與補充。</p>
<p>如果你在閱讀本書時，發現某段內容提供瞭如圖 0-2 所示的動畫圖解，<strong>請以圖為主、以文字為輔</strong>，綜合兩者來理解內容。</p>
<p><a class="glightbox" href="../../index.assets/animation.gif" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="動畫圖解示例" class="animation-figure" src="../../index.assets/animation.gif" /></a></p>
<p align="center"> 圖 0-2 &nbsp; 動畫圖解示例 </p>
<h2 id="023">0.2.3 &nbsp; 在程式碼實踐中加深理解<a class="headerlink" href="#023" title="Permanent link">&para;</a></h2>
<p>本書的配套程式碼託管在 <a href="https://github.com/krahets/hello-algo">GitHub 倉庫</a>。如圖 0-3 所示，<strong>源程式碼附有測試樣例，可一鍵執行</strong>。</p>
<p>如果時間允許，<strong>建議你參照程式碼自行敲一遍</strong>。如果學習時間有限，請至少通讀並執行所有程式碼。</p>
<p>與閱讀程式碼相比，編寫程式碼的過程往往能帶來更多收穫。<strong>動手學，才是真的學</strong>。</p>
<p><a class="glightbox" href="../../index.assets/running_code.gif" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="執行程式碼示例" class="animation-figure" src="../../index.assets/running_code.gif" /></a></p>
<p align="center"> 圖 0-3 &nbsp; 執行程式碼示例 </p>
<p>執行程式碼的前置工作主要分為三步。</p>
<p><strong>第一步：安裝本地程式設計環境</strong>。請參照附錄所示的<a href="https://www.hello-algo.com/chapter_appendix/installation/">教程</a>進行安裝，如果已安裝，則可跳過此步驟。</p>
<p><strong>第二步：克隆或下載程式碼倉庫</strong>。前往 <a href="https://github.com/krahets/hello-algo">GitHub 倉庫</a>。如果已經安裝 <a href="https://git-scm.com/downloads">Git</a> ，可以透過以下命令克隆本倉庫：</p>
<div class="highlight"><pre><span></span><code><a id="__codelineno-14-1" name="__codelineno-14-1" href="#__codelineno-14-1"></a>git<span class="w"> </span>clone<span class="w"> </span>https://github.com/krahets/hello-algo.git
</code></pre></div>
<p>當然，你也可以在圖 0-4 所示的位置，點選“Download ZIP”按鈕直接下載程式碼壓縮包，然後在本地解壓即可。</p>
<p><a class="glightbox" href="../suggestions.assets/download_code.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="克隆倉庫與下載程式碼" class="animation-figure" src="../suggestions.assets/download_code.png" /></a></p>
<p align="center"> 圖 0-4 &nbsp; 克隆倉庫與下載程式碼 </p>
<p><strong>第三步：執行源程式碼</strong>。如圖 0-5 所示，對於頂部標有檔案名稱的程式碼塊，我們可以在倉庫的 <code>codes</code> 檔案夾內找到對應的源程式碼檔案。源程式碼檔案可一鍵執行，將幫助你節省不必要的除錯時間，讓你能夠專注於學習內容。</p>
<p><a class="glightbox" href="../suggestions.assets/code_md_to_repo.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="程式碼塊與對應的源程式碼檔案" class="animation-figure" src="../suggestions.assets/code_md_to_repo.png" /></a></p>
<p align="center"> 圖 0-5 &nbsp; 程式碼塊與對應的源程式碼檔案 </p>
<p>除了本地執行程式碼，<strong>網頁版還支持 Python 程式碼的視覺化執行</strong>（基於 <a href="https://pythontutor.com/">pythontutor</a> 實現）。如圖 0-6 所示，你可以點選程式碼塊下方的“視覺化執行”來展開檢視，觀察演算法程式碼的執行過程；也可以點選“全屏觀看”，以獲得更好的閱覽體驗。</p>
<p><a class="glightbox" href="../suggestions.assets/pythontutor_example.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="Python 程式碼的視覺化執行" class="animation-figure" src="../suggestions.assets/pythontutor_example.png" /></a></p>
<p align="center"> 圖 0-6 &nbsp; Python 程式碼的視覺化執行 </p>
<h2 id="024">0.2.4 &nbsp; 在提問討論中共同成長<a class="headerlink" href="#024" title="Permanent link">&para;</a></h2>
<p>在閱讀本書時，請不要輕易跳過那些沒學明白的知識點。<strong>歡迎在評論區提出你的問題</strong>，我和小夥伴們將竭誠為你解答，一般情況下可在兩天內回覆。</p>
<p>如圖 0-7 所示，網頁版每個章節的底部都配有評論區。希望你能多關注評論區的內容。一方面，你可以瞭解大家遇到的問題，從而查漏補缺，激發更深入的思考。另一方面，期待你能慷慨地回答其他小夥伴的問題，分享你的見解，幫助他人進步。</p>
<p><a class="glightbox" href="../../index.assets/comment.gif" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="評論區示例" class="animation-figure" src="../../index.assets/comment.gif" /></a></p>
<p align="center"> 圖 0-7 &nbsp; 評論區示例 </p>
<h2 id="025">0.2.5 &nbsp; 演算法學習路線<a class="headerlink" href="#025" title="Permanent link">&para;</a></h2>
<p>從總體上看，我們可以將學習資料結構與演算法的過程劃分為三個階段。</p>
<ol>
<li><strong>階段一：演算法入門</strong>。我們需要熟悉各種資料結構的特點和用法，學習不同演算法的原理、流程、用途和效率等方面的內容。</li>
<li><strong>階段二：刷演算法題</strong>。建議從熱門題目開刷，先積累至少 100 道題目，熟悉主流的演算法問題。初次刷題時，“知識遺忘”可能是一個挑戰，但請放心，這是很正常的。我們可以按照“艾賓浩斯遺忘曲線”來複習題目，通常在進行 3～5 輪的重複後，就能將其牢記在心。推薦的題單和刷題計劃請見此 <a href="https://github.com/krahets/LeetCode-Book">GitHub 倉庫</a>。</li>
<li><strong>階段三：搭建知識體系</strong>。在學習方面，我們可以閱讀演算法專欄文章、解題框架和演算法教材，以不斷豐富知識體系。在刷題方面，可以嘗試採用進階刷題策略，如按專題分類、一題多解、一解多題等，相關的刷題心得可以在各個社群找到。</li>
</ol>
<p>如圖 0-8 所示，本書內容主要涵蓋“階段一”，旨在幫助你更高效地展開階段二和階段三的學習。</p>
<p><a class="glightbox" href="../suggestions.assets/learning_route.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="演算法學習路線" class="animation-figure" src="../suggestions.assets/learning_route.png" /></a></p>
<p align="center"> 圖 0-8 &nbsp; 演算法學習路線 </p>
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