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![\"\"](\"https://assets.leetcode.com/uploads/2022/08/04/f9caaac15b383af9115c5586779dec5.png\")
\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.Compiled with clang 11 using the latest C++ 20 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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