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leetcode-problemset/leetcode-cn/originData/maximum-width-of-binary-tree.json
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"question": {
"questionId": "662",
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"categoryTitle": "Algorithms",
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"title": "Maximum Width of Binary Tree",
"titleSlug": "maximum-width-of-binary-tree",
"content": "<p>Given the <code>root</code> of a binary tree, return <em>the <strong>maximum width</strong> of the given tree</em>.</p>\n\n<p>The <strong>maximum width</strong> of a tree is the maximum <strong>width</strong> among all levels.</p>\n\n<p>The <strong>width</strong> of one level is defined as the length between the end-nodes (the leftmost and rightmost non-null nodes), where the null nodes between the end-nodes that would be present in a complete binary tree extending down to that level are also counted into the length calculation.</p>\n\n<p>It is <strong>guaranteed</strong> that the answer will in the range of a <strong>32-bit</strong> signed integer.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/width1-tree.jpg\" style=\"width: 359px; height: 302px;\" />\n<pre>\n<strong>Input:</strong> root = [1,3,2,5,3,null,9]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The maximum width exists in the third level with length 4 (5,3,null,9).\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/14/maximum-width-of-binary-tree-v3.jpg\" style=\"width: 442px; height: 422px;\" />\n<pre>\n<strong>Input:</strong> root = [1,3,2,5,null,null,9,6,null,7]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The maximum width exists in the fourth level with length 7 (6,null,null,null,null,null,7).\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/width3-tree.jpg\" style=\"width: 289px; height: 299px;\" />\n<pre>\n<strong>Input:</strong> root = [1,3,2,5]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The maximum width exists in the second level with length 2 (3,2).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the tree is in the range <code>[1, 3000]</code>.</li>\n\t<li><code>-100 &lt;= Node.val &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "二叉树最大宽度",
"translatedContent": "<p>给定一个二叉树,编写一个函数来获取这个树的最大宽度。树的宽度是所有层中的最大宽度。这个二叉树与<strong>满二叉树full binary tree</strong>结构相同,但一些节点为空。</p>\n\n<p>每一层的宽度被定义为两个端点(该层最左和最右的非空节点,两端点间的<code>null</code>节点也计入长度)之间的长度。</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> \n\n 1\n / \\\n 3 2\n / \\ \\ \n 5 3 9 \n\n<strong>输出:</strong> 4\n<strong>解释:</strong> 最大值出现在树的第 3 层,宽度为 4 (5,3,null,9)。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> \n\n 1\n / \n 3 \n / \\ \n 5 3 \n\n<strong>输出:</strong> 2\n<strong>解释:</strong> 最大值出现在树的第 3 层,宽度为 2 (5,3)。\n</pre>\n\n<p><strong>示例&nbsp;3:</strong></p>\n\n<pre>\n<strong>输入:</strong> \n\n 1\n / \\\n 3 2 \n / \n 5 \n\n<strong>输出:</strong> 2\n<strong>解释:</strong> 最大值出现在树的第 2 层,宽度为 2 (3,2)。\n</pre>\n\n<p><strong>示例 4:</strong></p>\n\n<pre>\n<strong>输入:</strong> \n\n 1\n / \\\n 3 2\n / \\ \n 5 9 \n / \\\n 6 7\n<strong>输出:</strong> 8\n<strong>解释:</strong> 最大值出现在树的第 4 层,宽度为 8 (6,null,null,null,null,null,null,7)。\n</pre>\n\n<p><strong>注意:</strong> 答案在32位有符号整数的表示范围内。</p>\n",
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1.17<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 <a href=\\\"https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 4.5.4<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2020<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.3<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 24.2\"],\"elixir\":[\"Elixir\",\"Elixir 1.13.0 with Erlang\\/OTP 24.2\"]}",
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