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<div class="md-content" data-md-component="content">
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<article class="md-content__inner md-typeset">
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<!--
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Copyright (c) 2016-2023 Martin Donath <martin.donath@squidfunk.com>
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to
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deal in the Software without restriction, including without limitation the
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rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
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sell copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in
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all copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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<a href="https://github.com/krahets/hello-algo/tree/main/docs/chapter_searching/binary_search_insertion.md" title="编辑此页" class="md-content__button md-icon">
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Hack: check whether the content contains a h1 headline. If it doesn't, the
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<h1 id="102">10.2 二分查找插入点<a class="headerlink" href="#102" title="Permanent link">¶</a></h1>
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<p>二分查找不仅可用于搜索目标元素，还具有许多变种问题，比如搜索目标元素的插入位置。</p>
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<h2 id="1021">10.2.1 无重复元素的情况<a class="headerlink" href="#1021" title="Permanent link">¶</a></h2>
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<p>总的来看，二分查找无非就是给指针 <span class="arithmatex">\(i\)</span> 和 <span class="arithmatex">\(j\)</span> 分别设定搜索目标，目标可能是一个具体的元素（例如 <code>target</code> ），也可能是一个元素范围（例如小于 <code>target</code> 的元素）。</p>
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<p>在不断的循环二分中，指针 <span class="arithmatex">\(i\)</span> 和 <span class="arithmatex">\(j\)</span> 都逐渐逼近预先设定的目标。最终，它们或是成功找到答案，或是越过边界后停止。</p>
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<h2 id="__comments">评论</h2>
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aria-label="页脚"
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>
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<a
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href="../binary_search/"
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aria-label="上一页: 10.1 &nbsp; 二分查找"
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10.1 二分查找
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</a>
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<!-- Link to next page -->
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M4 11v2h12l-5.5 5.5 1.42 1.42L19.84 12l-7.92-7.92L10.5 5.5 16 11H4Z"/></svg>
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</a>
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</main>
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<footer class="md-footer">
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<nav class="md-footer__inner md-grid" aria-label="页脚" >
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<a href="../binary_search/" class="md-footer__link md-footer__link--prev" aria-label="上一页: 10.1 &nbsp; 二分查找" rel="prev">
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上一页
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10.1 二分查找
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</div>
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</div>
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</a>
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<a href="../binary_search_edge/" class="md-footer__link md-footer__link--next" aria-label="下一页: 10.3 &nbsp; 二分查找边界" rel="next">
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</div>
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<div class="md-footer__button md-icon">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M4 11v2h12l-5.5 5.5 1.42 1.42L19.84 12l-7.92-7.92L10.5 5.5 16 11H4Z"/></svg>
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</div>
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</a>
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</nav>
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<!--
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Copyright (c) 2016-2023 Martin Donath <martin.donath@squidfunk.com>
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Permission is hereby granted, free of charge, to any person obtaining a copy
|
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of this software and associated documentation files (the "Software"), to
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deal in the Software without restriction, including without limitation the
|
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rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
|
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sell copies of the Software, and to permit persons to whom the Software is
|
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in
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all copies or substantial portions of the Software.
|
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
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