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10.2 &nbsp; 二分查找插入点
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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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<p class="admonition-title">Question</p>
<p>给定一个长度为 <span class="arithmatex">\(n\)</span> 的有序数组 <code>nums</code> 和一个元素 <code>target</code> ，数组不存在重复元素。现将 <code>target</code> 插入到数组 <code>nums</code> 中，并保持其有序性。若数组中已存在元素 <code>target</code> ，则插入到其左方。请返回插入后 <code>target</code> 在数组中的索引。</p>
</div>
<p><img alt="二分查找插入点示例数据" src="../binary_search_insertion.assets/binary_search_insertion_example.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_example.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="二分查找插入点示例数据" src="../binary_search_insertion.assets/binary_search_insertion_example.png" /></a></p>
<p align="center"> 图 10-4 &nbsp; 二分查找插入点示例数据 </p>
<p>如果想要复用上节的二分查找代码，则需要回答以下两个问题。</p>
@@ -3732,7 +3559,7 @@
<li>执行二分查找，得到任意一个 <code>target</code> 的索引，记为 <span class="arithmatex">\(k\)</span> 。</li>
<li>从索引 <span class="arithmatex">\(k\)</span> 开始，向左进行线性遍历，当找到最左边的 <code>target</code> 时返回。</li>
</ol>
<p><img alt="线性查找重复元素的插入点" src="../binary_search_insertion.assets/binary_search_insertion_naive.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_naive.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="线性查找重复元素的插入点" src="../binary_search_insertion.assets/binary_search_insertion_naive.png" /></a></p>
<p align="center"> 图 10-5 &nbsp; 线性查找重复元素的插入点 </p>
<p>此方法虽然可用，但其包含线性查找，因此时间复杂度为 <span class="arithmatex">\(O(n)\)</span> 。当数组中存在很多重复的 <code>target</code> 时，该方法效率很低。</p>
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<div class="tabbed-set tabbed-alternate" data-tabs="2:8"><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" /><input id="__tabbed_2_6" name="__tabbed_2" type="radio" /><input id="__tabbed_2_7" name="__tabbed_2" type="radio" /><input id="__tabbed_2_8" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">&lt;1&gt;</label><label for="__tabbed_2_2">&lt;2&gt;</label><label for="__tabbed_2_3">&lt;3&gt;</label><label for="__tabbed_2_4">&lt;4&gt;</label><label for="__tabbed_2_5">&lt;5&gt;</label><label for="__tabbed_2_6">&lt;6&gt;</label><label for="__tabbed_2_7">&lt;7&gt;</label><label for="__tabbed_2_8">&lt;8&gt;</label></div>
<div class="tabbed-content">
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<p><img alt="二分查找重复元素的插入点的步骤" src="../binary_search_insertion.assets/binary_search_insertion_step1.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step1.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="二分查找重复元素的插入点的步骤" src="../binary_search_insertion.assets/binary_search_insertion_step1.png" /></a></p>
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<p><img alt="binary_search_insertion_step2" src="../binary_search_insertion.assets/binary_search_insertion_step2.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step2.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step2" src="../binary_search_insertion.assets/binary_search_insertion_step2.png" /></a></p>
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<p><img alt="binary_search_insertion_step3" src="../binary_search_insertion.assets/binary_search_insertion_step3.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step3.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step3" src="../binary_search_insertion.assets/binary_search_insertion_step3.png" /></a></p>
</div>
<div class="tabbed-block">
<p><img alt="binary_search_insertion_step4" src="../binary_search_insertion.assets/binary_search_insertion_step4.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step4.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step4" src="../binary_search_insertion.assets/binary_search_insertion_step4.png" /></a></p>
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<p><img alt="binary_search_insertion_step5" src="../binary_search_insertion.assets/binary_search_insertion_step5.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step5.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step5" src="../binary_search_insertion.assets/binary_search_insertion_step5.png" /></a></p>
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<p><img alt="binary_search_insertion_step6" src="../binary_search_insertion.assets/binary_search_insertion_step6.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step6.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step6" src="../binary_search_insertion.assets/binary_search_insertion_step6.png" /></a></p>
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<p><img alt="binary_search_insertion_step7" src="../binary_search_insertion.assets/binary_search_insertion_step7.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step7.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step7" src="../binary_search_insertion.assets/binary_search_insertion_step7.png" /></a></p>
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<p><img alt="binary_search_insertion_step8" src="../binary_search_insertion.assets/binary_search_insertion_step8.png" /></p>
<p><a class="glightbox" href="../binary_search_insertion.assets/binary_search_insertion_step8.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="binary_search_insertion_step8" src="../binary_search_insertion.assets/binary_search_insertion_step8.png" /></a></p>
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