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krahets 2023-06-18 03:47:44 +08:00
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</div>
<p>查阅字典这个小学生必备技能，实际上就是著名的「二分查找」。从数据结构的角度，我们可以把字典视为一个已排序的「数组」；从算法的角度，我们可以将上述查字典的一系列操作看作是「二分查找」算法。</p>
<p><strong>例三：货币找零</strong>。假设我们在超市购买了 <span class="arithmatex">\(69\)</span> 元的商品，给收银员付了 <span class="arithmatex">\(100\)</span> 元，则收银员需要给我们找 <span class="arithmatex">\(31\)</span> 元。他会很自然地完成以下思考：</p>
<ol>
<li>可选项是比 <span class="arithmatex">\(31\)</span> 元面值更小的货币，包括 <span class="arithmatex">\(1\)</span> , <span class="arithmatex">\(5\)</span> , <span class="arithmatex">\(10\)</span> , <span class="arithmatex">\(20\)</span> 元。</li>
<li>从可选项中拿出最大的 <span class="arithmatex">\(20\)</span> 元，剩余 <span class="arithmatex">\(31 - 20 = 11\)</span> 元。</li>
<li>从剩余可选项中拿出最大的 <span class="arithmatex">\(10\)</span> 元，剩余 <span class="arithmatex">\(11 - 10 = 1\)</span> 元。</li>
<li>从剩余可选项中拿出最大的 <span class="arithmatex">\(1\)</span> 元，剩余 <span class="arithmatex">\(1 - 1 = 0\)</span> 元。完成找零。</li>
</ol>
<p>在以上步骤中，我们每一步都采取当前看来最好的选择（尽可能用大面额的货币），最终得到了可行的找零方案 <span class="arithmatex">\(20 + 10 + 1 = 31\)</span> 元。从数据结构与算法的角度看，以上方法本质上是「贪心算法」。</p>
<p>小到烹饪一道菜，大到星际航行，几乎所有问题的解决都离不开算法。计算机的出现使我们能够通过编程将数据结构存储在内存中，同时编写代码调用 CPU 和 GPU 执行算法。这样一来，我们就能把生活中的问题转移到计算机上，以更高效的方式解决各种复杂问题。</p>
<div class="admonition tip">
<p class="admonition-title">Tip</p>

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<p><div class="result" markdown>
<img align="left" alt="conceptual_rendering" src="index.assets/conceptual_rendering.png" width="330" />
</br></br></br></br></br>
<h1 align="center"> 《 Hello 算法 》 </h1>
<p align="center"> 动画图解、能运行、可提问的</br>数据结构与算法快速入门教程 </p>
<p align="center"> <a href="https://github.com/krahets/hello-algo"><img alt="github-stars" src="https://img.shields.io/github/stars/krahets/hello-algo?style=social" /></a></p>
<h6 align="center"> <a href="https://leetcode.cn/u/jyd/">@Krahets</a> </h6>
</div></p>
</div>
</div>
</div>
<h1 align="center"> </h1>
<p align="center">
<img src="index.assets/conceptual_rendering.png" width="270">
&emsp; &emsp;
<img src="index.assets/hello_algo_knowledge_map_tp.png" width="400">
</p>
<h2 align="center"> 《 Hello 算法 》</h2>
<p align="center"> 动画图解、能运行、可提问的数据结构与算法教程 </p>
<p align="center">
<a href="https://github.com/krahets/hello-algo">
<img src="index.assets/btn_download_code.png" width="150">
</a>
<a href="https://github.com/krahets/hello-algo/releases">
<img src="index.assets/btn_download_pdf.png" width="150">
</a>
</p>
<hr />
<h2 align="center"> 推荐语 </h2>
@ -2049,7 +2056,7 @@
<p><strong>—— 李沐，亚马逊资深首席科学家</strong></p>
</div>
<hr />
<h3 align="center"> 「全书动画图解」 </h3>
<h3 align="center"> 全书动画图解 </h3>
<p align="center"> 内容清晰易懂、学习曲线平滑</br>电脑、平板、手机全终端阅读 </p>
@ -2059,7 +2066,7 @@
<p align="center"> “一图胜千言” </p></p>
</div>
<hr />
<h3 align="center"> 「代码一键运行」 </h3>
<h3 align="center"> 代码一键运行 </h3>
<p align="center"> 提供各个算法与数据结构的简洁实现与测试样例，皆可直接运行</br>支持 Java, C++, Python, Go, JS, TS, C#, Swift, Zig 等语言 </p>
@ -2069,7 +2076,7 @@
<p align="center"> “少吹牛，看代码” </p></p>
</div>
<hr />
<h3 align="center"> 「可讨论与提问」 </h3>
<h3 align="center"> 可讨论与提问 </h3>
<p align="center"> 鼓励小伙伴们互帮互助、共同成长</br>提问与评论一般能在两日内得到回复 </p>

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stylesheets/extra.css
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@ -19,7 +19,7 @@
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