You are given an undirected tree rooted at node 0 with n nodes numbered from 0 to n - 1, represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi, lengthi] indicates an edge between nodes ui and vi with length lengthi. You are also given an integer array nums, where nums[i] represents the value at node i.
A special path is defined as a downward path from an ancestor node to a descendant node such that all the values of the nodes in that path are unique.
\n\nNote that a path may start and end at the same node.
\n\nReturn an array result of size 2, where result[0] is the length of the longest special path, and result[1] is the minimum number of nodes in all possible longest special paths.
\n
Example 1:
\n\nInput: edges = [[0,1,2],[1,2,3],[1,3,5],[1,4,4],[2,5,6]], nums = [2,1,2,1,3,1]
\n\nOutput: [6,2]
\n\nExplanation:
\n\nnums![\"\"](\"https://assets.leetcode.com/uploads/2024/11/02/tree3.jpeg\")
The longest special paths are 2 -> 5 and 0 -> 1 -> 4, both having a length of 6. The minimum number of nodes across all longest special paths is 2.
Example 2:
\n\nInput: edges = [[1,0,8]], nums = [2,2]
\n\nOutput: [0,1]
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/11/02/tree4.jpeg\")
The longest special paths are 0 and 1, both having a length of 0. The minimum number of nodes across all longest special paths is 1.
\n
Constraints:
\n\n2 <= n <= 5 * 104edges.length == n - 1edges[i].length == 30 <= ui, vi < n1 <= lengthi <= 103nums.length == n0 <= nums[i] <= 5 * 104edges represents a valid tree.给你一棵根节点为节点 0 的无向树，树中有 n 个节点，编号为 0 到 n - 1 ，这棵树通过一个长度为 n - 1 的二维数组 edges 表示，其中 edges[i] = [ui, vi, lengthi] 表示节点 ui 和 vi 之间有一条长度为 lengthi 的边。同时给你一个整数数组 nums ，其中 nums[i] 表示节点 i 的值。
特殊路径 指的是树中一条从祖先节点 往下 到后代节点且经过节点的值 互不相同 的路径。
\n\n注意 ，一条路径可以开始和结束于同一节点。
\n\n请你返回一个长度为 2 的数组 result ，其中 result[0] 是 最长 特殊路径的 长度 ，result[1] 是所有 最长特殊路径中的 最少 节点数目。
\n\n
示例 1：
\n\n输入：edges = [[0,1,2],[1,2,3],[1,3,5],[1,4,4],[2,5,6]], nums = [2,1,2,1,3,1]
\n\n输出：[6,2]
\n\n解释：
\n\nnums 所代表节点的值用对应颜色表示。
最长特殊路径为 2 -> 5 和 0 -> 1 -> 4 ，两条路径的长度都为 6 。所有特殊路径里，节点数最少的路径含有 2 个节点。
示例 2：
\n\n输入：edges = [[1,0,8]], nums = [2,2]
\n\n输出：[0,1]
\n\n解释：
\n\n
最长特殊路径为 0 和 1 ，两条路径的长度都为 0 。所有特殊路径里，节点数最少的路径含有 1 个节点。
\n\n
提示：
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