leetcode-problemset/leetcode-cn/originData/sum-of-distances-in-tree.json

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            "questionId": "863",
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            "title": "Sum of Distances in Tree",
            "titleSlug": "sum-of-distances-in-tree",
            "content": "<p>There is an undirected connected tree with <code>n</code> nodes labeled from <code>0</code> to <code>n - 1</code> and <code>n - 1</code> edges.</p>\n\n<p>You are given the integer <code>n</code> and the array <code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that there is an edge between nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code> in the tree.</p>\n\n<p>Return an array <code>answer</code> of length <code>n</code> where <code>answer[i]</code> is the sum of the distances between the <code>i<sup>th</sup></code> node in the tree and all other nodes.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist1.jpg\" style=\"width: 304px; height: 224px;\" />\n<pre>\n<strong>Input:</strong> n = 6, edges = [[0,1],[0,2],[2,3],[2,4],[2,5]]\n<strong>Output:</strong> [8,12,6,10,10,10]\n<strong>Explanation:</strong> The tree is shown above.\nWe can see that dist(0,1) + dist(0,2) + dist(0,3) + dist(0,4) + dist(0,5)\nequals 1 + 1 + 2 + 2 + 2 = 8.\nHence, answer[0] = 8, and so on.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist2.jpg\" style=\"width: 64px; height: 65px;\" />\n<pre>\n<strong>Input:</strong> n = 1, edges = []\n<strong>Output:</strong> [0]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist3.jpg\" style=\"width: 144px; height: 145px;\" />\n<pre>\n<strong>Input:</strong> n = 2, edges = [[1,0]]\n<strong>Output:</strong> [1,1]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 3 * 10<sup>4</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>The given input represents a valid tree.</li>\n</ul>\n",
            "translatedTitle": "树中距离之和",
            "translatedContent": "<p>给定一个无向、连通的树。树中有 <code>n</code> 个标记为 <code>0...n-1</code> 的节点以及 <code>n-1</code>&nbsp;条边&nbsp;。</p>\n\n<p>给定整数 <code>n</code> 和数组&nbsp;<code>edges</code>&nbsp;，&nbsp;<code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>表示树中的节点&nbsp;<code>a<sub>i</sub></code>&nbsp;和&nbsp;<code>b<sub>i</sub></code>&nbsp;之间有一条边。</p>\n\n<p>返回长度为 <code>n</code> 的数组&nbsp;<code>answer</code>&nbsp;，其中&nbsp;<code>answer[i]</code>&nbsp;是树中第 <code>i</code> 个节点与所有其他节点之间的距离之和。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist1.jpg\" /></p>\n\n<pre>\n<strong>输入: </strong>n = 6, edges = [[0,1],[0,2],[2,3],[2,4],[2,5]]\n<strong>输出: </strong>[8,12,6,10,10,10]\n<strong>解释: </strong>树如图所示。\n我们可以计算出 dist(0,1) + dist(0,2) + dist(0,3) + dist(0,4) + dist(0,5) \n也就是 1 + 1 + 2 + 2 + 2 = 8。 因此，answer[0] = 8，以此类推。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist2.jpg\" />\n<pre>\n<strong>输入:</strong> n = 1, edges = []\n<strong>输出:</strong> [0]\n</pre>\n\n<p><strong>示例 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-sumdist3.jpg\" />\n<pre>\n<strong>输入:</strong> n = 2, edges = [[1,0]]\n<strong>输出:</strong> [1,1]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 3 * 10<sup>4</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub>&nbsp;&lt; n</code></li>\n\t<li><code>a<sub>i</sub>&nbsp;!= b<sub>i</sub></code></li>\n\t<li>给定的输入保证为有效的树</li>\n</ul>\n",
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