![\"\"](\"https://assets.leetcode.com/uploads/2022/04/15/ex1new3.png\")
There is an undirected graph with n nodes, numbered from 0 to n - 1.
You are given a 0-indexed integer array scores of length n where scores[i] denotes the score of node i. 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 node sequence is valid if it meets the following conditions:
\n\nThe score of a node sequence is defined as the sum of the scores of the nodes in the sequence.
\n\nReturn the maximum score of a valid node sequence with a length of 4. If no such sequence exists, return -1.
\n
Example 1:
\n\n\nInput: scores = [5,2,9,8,4], edges = [[0,1],[1,2],[2,3],[0,2],[1,3],[2,4]]\nOutput: 24\nExplanation: The figure above shows the graph and the chosen node sequence [0,1,2,3].\nThe score of the node sequence is 5 + 2 + 9 + 8 = 24.\nIt can be shown that no other node sequence has a score of more than 24.\nNote that the sequences [3,1,2,0] and [1,0,2,3] are also valid and have a score of 24.\nThe sequence [0,3,2,4] is not valid since no edge connects nodes 0 and 3.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/03/17/ex2.png\")
\n\nInput: scores = [9,20,6,4,11,12], edges = [[0,3],[5,3],[2,4],[1,3]]\nOutput: -1\nExplanation: The figure above shows the graph.\nThere are no valid node sequences of length 4, so we return -1.\n\n\n
\n
Constraints:
\n\nn == scores.length4 <= n <= 5 * 1041 <= scores[i] <= 1080 <= edges.length <= 5 * 104edges[i].length == 20 <= ai, bi <= n - 1ai != bi给你一个 n 个节点的 无向图 ，节点编号为 0 到 n - 1 。
给你一个下标从 0 开始的整数数组 scores ，其中 scores[i] 是第 i 个节点的分数。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。
一个合法的节点序列如果满足以下条件，我们称它是 合法的 ：
\n\n节点序列的分数定义为序列中节点分数之 和 。
\n\n请你返回一个长度为 4 的合法节点序列的最大分数。如果不存在这样的序列，请你返回 -1 。
\n\n
示例 1：
\n\n
\n输入：scores = [5,2,9,8,4], edges = [[0,1],[1,2],[2,3],[0,2],[1,3],[2,4]]\n输出：24\n解释：上图为输入的图，节点序列为 [0,1,2,3] 。\n节点序列的分数为 5 + 2 + 9 + 8 = 24 。\n观察可知，没有其他节点序列得分和超过 24 。\n注意节点序列 [3,1,2,0] 和 [1,0,2,3] 也是合法的，且分数为 24 。\n序列 [0,3,2,4] 不是合法的，因为没有边连接节点 0 和 3 。\n\n\n
示例 2：
\n\n
\n输入：scores = [9,20,6,4,11,12], edges = [[0,3],[5,3],[2,4],[1,3]]\n输出：-1\n解释：上图为输入的图。\n没有长度为 4 的合法序列，所以我们返回 -1 。\n\n\n
\n\n
提示：
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