There is an undirected graph consisting of n nodes numbered from 0 to n - 1. 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 star graph is a subgraph of the given graph having a center node containing 0 or more neighbors. In other words, it is a subset of edges of the given graph such that there exists a common node for all edges.
The image below shows star graphs with 3 and 4 neighbors respectively, centered at the blue node.
![\"\"](\"https://assets.leetcode.com/uploads/2022/11/07/max-star-sum-descdrawio.png\")
\nThe star sum is the sum of the values of all the nodes present in the star graph.
\n\nGiven an integer k, return the maximum star sum of a star graph containing at most k edges.
\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/11/07/max-star-sum-example1drawio.png\")
\n\nInput: vals = [1,2,3,4,10,-10,-20], edges = [[0,1],[1,2],[1,3],[3,4],[3,5],[3,6]], k = 2\nOutput: 16\nExplanation: The above diagram represents the input graph.\nThe star graph with the maximum star sum is denoted by blue. It is centered at 3 and includes its neighbors 1 and 4.\nIt can be shown it is not possible to get a star graph with a sum greater than 16.\n\n\n
Example 2:
\n\n\nInput: vals = [-5], edges = [], k = 0\nOutput: -5\nExplanation: There is only one possible star graph, which is node 0 itself.\nHence, we return -5.\n\n\n
\n
Constraints:
\n\nn == vals.length1 <= n <= 105-104 <= vals[i] <= 1040 <= edges.length <= min(n * (n - 1) / 2, 105)edges[i].length == 20 <= ai, bi <= n - 1ai != bi0 <= k <= n - 1Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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