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krahets
2023-09-22 13:08:10 +08:00
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10.2 &nbsp; 二分查找插入点
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10.3 &nbsp; 二分查找边界
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第 12 章 &nbsp; 分治
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12.1 &nbsp; 分治算法
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12.2 &nbsp; 分治搜索策略
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12.3 &nbsp; 构建树问题
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12.4 &nbsp; 汉诺塔问题
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12.5 &nbsp; 小结
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第 14 章 &nbsp; 动态规划
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14.1 &nbsp; 初探动态规划
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14.2 &nbsp; DP 问题特性
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14.3 &nbsp; DP 解题思路
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14.4 &nbsp; 0-1 背包问题
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14.5 &nbsp; 完全背包问题
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14.6 &nbsp; 编辑距离问题
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14.7 &nbsp; 小结
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第 15 章 &nbsp; 贪心
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15.1 &nbsp; 贪心算法
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15.2 &nbsp; 分数背包问题
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15.3 &nbsp; 最大容量问题
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15.4 &nbsp; 最大切分乘积问题
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15.5 &nbsp; 小结
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<h2 id="721">7.2.1 &nbsp; 层序遍历<a class="headerlink" href="#721" title="Permanent link">&para;</a></h2>
<p>如图 7-9 所示,「层序遍历 level-order traversal」从顶部到底部逐层遍历二叉树并在每一层按照从左到右的顺序访问节点。</p>
<p>层序遍历本质上属于「广度优先遍历 breadth-first traversal」它体现了一种“一圈一圈向外扩展”的逐层遍历方式。</p>
<p><img alt="二叉树的层序遍历" src="../binary_tree_traversal.assets/binary_tree_bfs.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/binary_tree_bfs.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="二叉树的层序遍历" src="../binary_tree_traversal.assets/binary_tree_bfs.png" /></a></p>
<p align="center"> 图 7-9 &nbsp; 二叉树的层序遍历 </p>
<h3 id="1">1. &nbsp; 代码实现<a class="headerlink" href="#1" title="Permanent link">&para;</a></h3>
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<h2 id="722">7.2.2 &nbsp; 前序、中序、后序遍历<a class="headerlink" href="#722" title="Permanent link">&para;</a></h2>
<p>相应地,前序、中序和后序遍历都属于「深度优先遍历 depth-first traversal」它体现了一种“先走到尽头再回溯继续”的遍历方式。</p>
<p>图 7-10 展示了对二叉树进行深度优先遍历的工作原理。<strong>深度优先遍历就像是绕着整个二叉树的外围“走”一圈</strong>,在每个节点都会遇到三个位置,分别对应前序遍历、中序遍历和后序遍历。</p>
<p><img alt="二叉搜索树的前、中、后序遍历" src="../binary_tree_traversal.assets/binary_tree_dfs.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/binary_tree_dfs.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="二叉搜索树的前、中、后序遍历" src="../binary_tree_traversal.assets/binary_tree_dfs.png" /></a></p>
<p align="center"> 图 7-10 &nbsp; 二叉搜索树的前、中、后序遍历 </p>
<h3 id="1_1">1. &nbsp; 代码实现<a class="headerlink" href="#1_1" title="Permanent link">&para;</a></h3>
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<p><img alt="前序遍历的递归过程" src="../binary_tree_traversal.assets/preorder_step1.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/preorder_step1.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="前序遍历的递归过程" src="../binary_tree_traversal.assets/preorder_step1.png" /></a></p>
</div>
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<p><img alt="preorder_step2" src="../binary_tree_traversal.assets/preorder_step2.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/preorder_step2.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="preorder_step2" src="../binary_tree_traversal.assets/preorder_step2.png" /></a></p>
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<p><img alt="preorder_step3" src="../binary_tree_traversal.assets/preorder_step3.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/preorder_step3.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="preorder_step3" src="../binary_tree_traversal.assets/preorder_step3.png" /></a></p>
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<p><img alt="preorder_step4" src="../binary_tree_traversal.assets/preorder_step4.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/preorder_step4.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="preorder_step4" src="../binary_tree_traversal.assets/preorder_step4.png" /></a></p>
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<p><img alt="preorder_step5" src="../binary_tree_traversal.assets/preorder_step5.png" /></p>
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<p><img alt="preorder_step6" src="../binary_tree_traversal.assets/preorder_step6.png" /></p>
<p><a class="glightbox" href="../binary_tree_traversal.assets/preorder_step6.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="preorder_step6" src="../binary_tree_traversal.assets/preorder_step6.png" /></a></p>
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<p><img alt="preorder_step7" src="../binary_tree_traversal.assets/preorder_step7.png" /></p>
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<p><img alt="preorder_step8" src="../binary_tree_traversal.assets/preorder_step8.png" /></p>
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<p><img alt="preorder_step9" src="../binary_tree_traversal.assets/preorder_step9.png" /></p>
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<p><img alt="preorder_step10" src="../binary_tree_traversal.assets/preorder_step10.png" /></p>
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