leetcode-problemset/leetcode-cn/originData/longest-path-with-different-adjacent-characters.json

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            "categoryTitle": "Algorithms",
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            "title": "Longest Path With Different Adjacent Characters",
            "titleSlug": "longest-path-with-different-adjacent-characters",
            "content": "<p>You are given a <strong>tree</strong> (i.e. a connected, undirected graph that has no cycles) <strong>rooted</strong> at node <code>0</code> consisting of <code>n</code> nodes numbered from <code>0</code> to <code>n - 1</code>. The tree is represented by a <strong>0-indexed</strong> array <code>parent</code> of size <code>n</code>, where <code>parent[i]</code> is the parent of node <code>i</code>. Since node <code>0</code> is the root, <code>parent[0] == -1</code>.</p>\n\n<p>You are also given a string <code>s</code> of length <code>n</code>, where <code>s[i]</code> is the character assigned to node <code>i</code>.</p>\n\n<p>Return <em>the length of the <strong>longest path</strong> in the tree such that no pair of <strong>adjacent</strong> nodes on the path have the same character assigned to them.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/25/testingdrawio.png\" style=\"width: 201px; height: 241px;\" />\n<pre>\n<strong>Input:</strong> parent = [-1,0,0,1,1,2], s = &quot;abacbe&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The longest path where each two adjacent nodes have different characters in the tree is the path: 0 -&gt; 1 -&gt; 3. The length of this path is 3, so 3 is returned.\nIt can be proven that there is no longer path that satisfies the conditions. \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/25/graph2drawio.png\" style=\"width: 201px; height: 221px;\" />\n<pre>\n<strong>Input:</strong> parent = [-1,0,0,0], s = &quot;aabc&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The longest path where each two adjacent nodes have different characters is the path: 2 -&gt; 0 -&gt; 3. The length of this path is 3, so 3 is returned.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == parent.length == s.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= parent[i] &lt;= n - 1</code> for all <code>i &gt;= 1</code></li>\n\t<li><code>parent[0] == -1</code></li>\n\t<li><code>parent</code> represents a valid tree.</li>\n\t<li><code>s</code> consists of only lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "相邻字符不同的最长路径",
            "translatedContent": "<p>给你一棵 <strong>树</strong>（即一个连通、无向、无环图），根节点是节点 <code>0</code> ，这棵树由编号从 <code>0</code> 到 <code>n - 1</code> 的 <code>n</code> 个节点组成。用下标从 <strong>0</strong> 开始、长度为 <code>n</code> 的数组 <code>parent</code> 来表示这棵树，其中 <code>parent[i]</code> 是节点 <code>i</code> 的父节点，由于节点 <code>0</code> 是根节点，所以 <code>parent[0] == -1</code> 。</p>\n\n<p>另给你一个字符串 <code>s</code> ，长度也是 <code>n</code> ，其中 <code>s[i]</code> 表示分配给节点 <code>i</code> 的字符。</p>\n\n<p>请你找出路径上任意一对相邻节点都没有分配到相同字符的 <strong>最长路径</strong> ，并返回该路径的长度。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/25/testingdrawio.png\" style=\"width: 201px; height: 241px;\" /></p>\n\n<pre>\n<strong>输入：</strong>parent = [-1,0,0,1,1,2], s = \"abacbe\"\n<strong>输出：</strong>3\n<strong>解释：</strong>任意一对相邻节点字符都不同的最长路径是：0 -&gt; 1 -&gt; 3 。该路径的长度是 3 ，所以返回 3 。\n可以证明不存在满足上述条件且比 3 更长的路径。 \n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/25/graph2drawio.png\" style=\"width: 201px; height: 221px;\" /></p>\n\n<pre>\n<strong>输入：</strong>parent = [-1,0,0,0], s = \"aabc\"\n<strong>输出：</strong>3\n<strong>解释：</strong>任意一对相邻节点字符都不同的最长路径是：2 -&gt; 0 -&gt; 3 。该路径的长度为 3 ，所以返回 3 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == parent.length == s.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li>对所有 <code>i &gt;= 1</code> ，<code>0 &lt;= parent[i] &lt;= n - 1</code> 均成立</li>\n\t<li><code>parent[0] == -1</code></li>\n\t<li><code>parent</code> 表示一棵有效的树</li>\n\t<li><code>s</code> 仅由小写英文字母组成</li>\n</ul>\n",
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                "Do a DFS from the root. At each node, calculate the longest path we can make from two branches of that subtree.",
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