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<h1 id="34">3.4 字符编码 *<a class="headerlink" href="#34" title="Permanent link">¶</a></h1>
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<p>在计算机中，所有数据都是以二进制数的形式存储的，字符 <code>char</code> 也不例外。为了表示字符，我们需要建立一套“字符集”，规定每个字符和二进制数之间的一一对应关系。有了字符集之后，计算机就可以通过查表完成二进制数到字符的转换。</p>
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<h2 id="341-ascii">3.4.1 ASCII 字符集<a class="headerlink" href="#341-ascii" title="Permanent link">¶</a></h2>
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<p><u>ASCII（码）</u>是最早出现的字符集，其全称为 American Standard Code for Information Interchange（美国标准信息交换代码）。它使用 7 位二进制数（一个字节的低 7 位）表示一个字符，最多能够表示 128 个不同的字符。如图 3-6 所示，ASCII 码包括英文字母的大小写、数字 0 ~ 9、一些标点符号，以及一些控制字符（如换行符和制表符）。</p>
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<p><u>ASCII 码</u>是最早出现的字符集，其全称为 American Standard Code for Information Interchange（美国标准信息交换代码）。它使用 7 位二进制数（一个字节的低 7 位）表示一个字符，最多能够表示 128 个不同的字符。如图 3-6 所示，ASCII 码包括英文字母的大小写、数字 0 ~ 9、一些标点符号，以及一些控制字符（如换行符和制表符）。</p>
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<p><a class="glightbox" href="../character_encoding.assets/ascii_table.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="ASCII 码" class="animation-figure" src="../character_encoding.assets/ascii_table.png" /></a></p>
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<p align="center"> 图 3-6 ASCII 码 </p>
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@ -4959,7 +4959,7 @@ dp[i] = dp[i-1] + dp[i-2]
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<p>与回溯算法一样，动态规划也使用“状态”概念来表示问题求解的特定阶段，每个状态都对应一个子问题以及相应的局部最优解。例如，爬楼梯问题的状态定义为当前所在楼梯阶数 <span class="arithmatex">\(i\)</span> 。</p>
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<p>根据以上内容，我们可以总结出动态规划的常用术语。</p>
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<ul>
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<li>将数组 <code>dp</code> 称为<u><span class="arithmatex">\(dp\)</span>（表）</u>，<span class="arithmatex">\(dp[i]\)</span> 表示状态 <span class="arithmatex">\(i\)</span> 对应子问题的解。</li>
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<li>将数组 <code>dp</code> 称为<u>dp 表</u>，<span class="arithmatex">\(dp[i]\)</span> 表示状态 <span class="arithmatex">\(i\)</span> 对应子问题的解。</li>
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<li>将最小子问题对应的状态（第 <span class="arithmatex">\(1\)</span> 阶和第 <span class="arithmatex">\(2\)</span> 阶楼梯）称为<u>初始状态</u>。</li>
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<li>将递推公式 <span class="arithmatex">\(dp[i] = dp[i-1] + dp[i-2]\)</span> 称为<u>状态转移方程</u>。</li>
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</ul>
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<p>计算机的出现给世界带来了巨大变革，它凭借高速的计算能力和出色的可编程性，成为了执行算法与处理数据的理想媒介。无论是电子游戏的逼真画面、自动驾驶的智能决策，还是 AlphaGo 的精彩棋局、ChatGPT 的自然交互，这些应用都是算法在计算机上的精妙演绎。</p>
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<p>事实上，在计算机问世之前，算法和数据结构就已经存在于世界的各个角落。早期的算法相对简单，例如古代的计数方法和工具制作步骤等。随着文明的进步，算法逐渐变得更加精细和复杂。从巧夺天工的匠人技艺、到解放生产力的工业产品、再到宇宙运行的科学规律，几乎每一件平凡或令人惊叹的事物背后，都隐藏着精妙的算法思想。</p>
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<p>同样，数据结构无处不在：大到社会网络，小到地铁线路，许多系统都可以建模为“图”；大到一个国家，小到一个家庭，社会的主要组织形式呈现出“树”的特征；冬天的衣服就像“栈”，最先穿上的最后才能脱下；羽毛球筒则如同“队列”，一端放入、另一端取出；字典就像一个“哈希表”，能够快速查找目标词条。</p>
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<p>本书旨在通过清晰易懂的动画插图和可运行的代码示例，使读者理解算法和数据结构的核心概念，并能够通过编程来实现它们。在此基础上，本书致力于揭示算法在复杂世界中的生动体现，展现算法之美。希望本书能够帮助到你！</p>
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<p>本书旨在通过清晰易懂的动画图解和可运行的代码示例，使读者理解算法和数据结构的核心概念，并能够通过编程来实现它们。在此基础上，本书致力于揭示算法在复杂世界中的生动体现，展现算法之美。希望本书能够帮助到你！</p>
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<p><a class="glightbox" href="../avl_tree.assets/avltree_degradation_from_inserting_node.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="AVL 树在插入节点后发生退化" class="animation-figure" src="../avl_tree.assets/avltree_degradation_from_inserting_node.png" /></a></p>
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<p align="center"> 图 7-25 AVL 树在插入节点后发生退化 </p>
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<p>1962 年 G. M. Adelson-Velsky 和 E. M. Landis 在论文“An algorithm for the organization of information”中提出了<u>AVL（树）</u>。论文中详细描述了一系列操作，确保在持续添加和删除节点后，AVL 树不会退化，从而使得各种操作的时间复杂度保持在 <span class="arithmatex">\(O(\log n)\)</span> 级别。换句话说，在需要频繁进行增删查改操作的场景中，AVL 树能始终保持高效的数据操作性能，具有很好的应用价值。</p>
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<p>1962 年 G. M. Adelson-Velsky 和 E. M. Landis 在论文“An algorithm for the organization of information”中提出了<u>AVL 树</u>。论文中详细描述了一系列操作，确保在持续添加和删除节点后，AVL 树不会退化，从而使得各种操作的时间复杂度保持在 <span class="arithmatex">\(O(\log n)\)</span> 级别。换句话说，在需要频繁进行增删查改操作的场景中，AVL 树能始终保持高效的数据操作性能，具有很好的应用价值。</p>
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<h2 id="751-avl">7.5.1 AVL 树常见术语<a class="headerlink" href="#751-avl" title="Permanent link">¶</a></h2>
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<p>AVL 树既是二叉搜索树，也是平衡二叉树，同时满足这两类二叉树的所有性质，因此是一种<u>平衡二叉搜索树（balanced binary search tree）</u>。</p>
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<h3 id="1">1. 节点高度<a class="headerlink" href="#1" title="Permanent link">¶</a></h3>
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<loc>https://www.hello-algo.com/chapter_searching/binary_search_edge/</loc>
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|
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||||
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|
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|
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||||
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|
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|
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|
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||||
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|
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|
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||||
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|
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|
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|
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||||
BIN
sitemap.xml.gz
BIN
sitemap.xml.gz
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Loading…
Reference in New Issue
Block a user