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"question": {
"questionId": "655",
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"categoryTitle": "Algorithms",
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"title": "Print Binary Tree",
"titleSlug": "print-binary-tree",
"content": "<p>Given the <code>root</code> of a binary tree, construct a <strong>0-indexed</strong> <code>m x n</code> string matrix <code>res</code> that represents a <strong>formatted layout</strong> of the tree. The formatted layout matrix should be constructed using the following rules:</p>\n\n<ul>\n\t<li>The <strong>height</strong> of the tree is <code>height</code>&nbsp;and the number of rows <code>m</code> should be equal to <code>height + 1</code>.</li>\n\t<li>The number of columns <code>n</code> should be equal to <code>2<sup>height+1</sup> - 1</code>.</li>\n\t<li>Place the <strong>root node</strong> in the <strong>middle</strong> of the <strong>top row</strong> (more formally, at location <code>res[0][(n-1)/2]</code>).</li>\n\t<li>For each node that has been placed in the matrix at position <code>res[r][c]</code>, place its <strong>left child</strong> at <code>res[r+1][c-2<sup>height-r-1</sup>]</code> and its <strong>right child</strong> at <code>res[r+1][c+2<sup>height-r-1</sup>]</code>.</li>\n\t<li>Continue this process until all the nodes in the tree have been placed.</li>\n\t<li>Any empty cells should contain the empty string <code>&quot;&quot;</code>.</li>\n</ul>\n\n<p>Return <em>the constructed matrix </em><code>res</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/print1-tree.jpg\" style=\"width: 141px; height: 181px;\" />\n<pre>\n<strong>Input:</strong> root = [1,2]\n<strong>Output:</strong> \n[[&quot;&quot;,&quot;1&quot;,&quot;&quot;],\n&nbsp;[&quot;2&quot;,&quot;&quot;,&quot;&quot;]]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/print2-tree.jpg\" style=\"width: 207px; height: 302px;\" />\n<pre>\n<strong>Input:</strong> root = [1,2,3,null,4]\n<strong>Output:</strong> \n[[&quot;&quot;,&quot;&quot;,&quot;&quot;,&quot;1&quot;,&quot;&quot;,&quot;&quot;,&quot;&quot;],\n&nbsp;[&quot;&quot;,&quot;2&quot;,&quot;&quot;,&quot;&quot;,&quot;&quot;,&quot;3&quot;,&quot;&quot;],\n&nbsp;[&quot;&quot;,&quot;&quot;,&quot;4&quot;,&quot;&quot;,&quot;&quot;,&quot;&quot;,&quot;&quot;]]\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, 2<sup>10</sup>]</code>.</li>\n\t<li><code>-99 &lt;= Node.val &lt;= 99</code></li>\n\t<li>The depth of the tree will be in the range <code>[1, 10]</code>.</li>\n</ul>\n",
"translatedTitle": "输出二叉树",
"translatedContent": "<p>给你一棵二叉树的根节点 <code>root</code> ,请你构造一个下标从 <strong>0</strong> 开始、大小为 <code>m x n</code> 的字符串矩阵 <code>res</code> ,用以表示树的 <strong>格式化布局</strong> 。构造此格式化布局矩阵需要遵循以下规则:</p>\n\n<ul>\n\t<li>树的 <strong>高度</strong> 为 <code>height</code> ,矩阵的行数 <code>m</code> 应该等于 <code>height + 1</code> 。</li>\n\t<li>矩阵的列数 <code>n</code> 应该等于 <code>2<sup>height+1</sup> - 1</code> 。</li>\n\t<li><strong>根节点</strong> 需要放置在 <strong>顶行</strong> 的 <strong>正中间</strong> ,对应位置为 <code>res[0][(n-1)/2]</code> 。</li>\n\t<li>对于放置在矩阵中的每个节点,设对应位置为 <code>res[r][c]</code> ,将其左子节点放置在 <code>res[r+1][c-2<sup>height-r-1</sup>]</code> ,右子节点放置在 <code>res[r+1][c+2<sup>height-r-1</sup>]</code> 。</li>\n\t<li>继续这一过程,直到树中的所有节点都妥善放置。</li>\n\t<li>任意空单元格都应该包含空字符串 <code>\"\"</code> 。</li>\n</ul>\n\n<p>返回构造得到的矩阵<em> </em><code>res</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/print1-tree.jpg\" style=\"width: 141px; height: 181px;\" />\n<pre>\n<strong>输入:</strong>root = [1,2]\n<strong>输出:</strong>\n[[\"\",\"1\",\"\"],\n&nbsp;[\"2\",\"\",\"\"]]\n</pre>\n\n<p><strong>示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/03/print2-tree.jpg\" style=\"width: 207px; height: 302px;\" />\n<pre>\n<strong>输入:</strong>root = [1,2,3,null,4]\n<strong>输出:</strong>\n[[\"\",\"\",\"\",\"1\",\"\",\"\",\"\"],\n&nbsp;[\"\",\"2\",\"\",\"\",\"\",\"3\",\"\"],\n&nbsp;[\"\",\"\",\"4\",\"\",\"\",\"\",\"\"]]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>树中节点数在范围 <code>[1, 2<sup>10</sup>]</code> 内</li>\n\t<li><code>-99 &lt;= Node.val &lt;= 99</code></li>\n\t<li>树的深度在范围 <code>[1, 10]</code> 内</li>\n</ul>\n",
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