![\"\"](\"https://assets.leetcode.com/uploads/2022/08/04/f9caaac15b383af9115c5586779dec5.png\")
There is a tree (i.e. a connected, undirected graph with no cycles) consisting of n nodes numbered from 0 to n - 1 and exactly n - 1 edges.
You are given a 0-indexed integer array vals of length n where vals[i] denotes the value of the ith node. You are also given a 2D integer array edges where edges[i] = [ai, bi] denotes that there exists an undirected edge connecting nodes ai and bi.
A good path is a simple path that satisfies the following conditions:
\n\nReturn the number of distinct good paths.
\n\nNote that a path and its reverse are counted as the same path. For example, 0 -> 1 is considered to be the same as 1 -> 0. A single node is also considered as a valid path.
\n
Example 1:
\n\n\nInput: vals = [1,3,2,1,3], edges = [[0,1],[0,2],[2,3],[2,4]]\nOutput: 6\nExplanation: There are 5 good paths consisting of a single node.\nThere is 1 additional good path: 1 -> 0 -> 2 -> 4.\n(The reverse path 4 -> 2 -> 0 -> 1 is treated as the same as 1 -> 0 -> 2 -> 4.)\nNote that 0 -> 2 -> 3 is not a good path because vals[2] > vals[0].\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/08/04/149d3065ec165a71a1b9aec890776ff.png\")
\n\nInput: vals = [1,1,2,2,3], edges = [[0,1],[1,2],[2,3],[2,4]]\nOutput: 7\nExplanation: There are 5 good paths consisting of a single node.\nThere are 2 additional good paths: 0 -> 1 and 2 -> 3.\n\n\n
Example 3:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/08/04/31705e22af3d9c0a557459bc7d1b62d.png\")
\n\nInput: vals = [1], edges = []\nOutput: 1\nExplanation: The tree consists of only one node, so there is one good path.\n\n\n
\n
Constraints:
\n\nn == vals.length1 <= n <= 3 * 1040 <= vals[i] <= 105edges.length == n - 1edges[i].length == 20 <= ai, bi < nai != biedges represents a valid tree.给你一棵 n 个节点的树（连通无向无环的图），节点编号从 0 到 n - 1 且恰好有 n - 1 条边。
给你一个长度为 n 下标从 0 开始的整数数组 vals ，分别表示每个节点的值。同时给你一个二维整数数组 edges ，其中 edges[i] = [ai, bi] 表示节点 ai 和 bi 之间有一条 无向 边。
一条 好路径 需要满足以下条件：
\n\n请你返回不同好路径的数目。
\n\n注意，一条路径和它反向的路径算作 同一 路径。比方说， 0 -> 1 与 1 -> 0 视为同一条路径。单个节点也视为一条合法路径。
\n\n
示例 1：
\n\n
输入：vals = [1,3,2,1,3], edges = [[0,1],[0,2],[2,3],[2,4]]\n输出：6\n解释：总共有 5 条单个节点的好路径。\n还有 1 条好路径：1 -> 0 -> 2 -> 4 。\n（反方向的路径 4 -> 2 -> 0 -> 1 视为跟 1 -> 0 -> 2 -> 4 一样的路径）\n注意 0 -> 2 -> 3 不是一条好路径，因为 vals[2] > vals[0] 。\n\n\n
示例 2：
\n\n
输入：vals = [1,1,2,2,3], edges = [[0,1],[1,2],[2,3],[2,4]]\n输出：7\n解释：总共有 5 条单个节点的好路径。\n还有 2 条好路径：0 -> 1 和 2 -> 3 。\n\n\n
示例 3：
\n\n
输入：vals = [1], edges = []\n输出：1\n解释：这棵树只有一个节点，所以只有一条好路径。\n\n\n
\n\n
提示：
\n\nn == vals.length1 <= n <= 3 * 1040 <= vals[i] <= 105edges.length == n - 1edges[i].length == 20 <= ai, bi < nai != biedges 表示一棵合法的树。\\u7248\\u672c\\uff1a \\u7f16\\u8bd1\\u65f6\\uff0c\\u5c06\\u4f1a\\u91c7\\u7528 \\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\"],\"java\":[\"Java\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u88ab\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5305\\u542b Pair \\u7c7b: https:\\/\\/docs.oracle.com\\/javase\\/8\\/javafx\\/api\\/javafx\\/util\\/Pair.html <\\/p>\"],\"python\":[\"Python\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982\\uff1aarray<\\/a>, bisect<\\/a>, 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