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![\"\"](\"https://assets.leetcode.com/uploads/2022/04/15/ex1new3.png\")
\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 != biCompiled 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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