You are given an undirected graph of n nodes, numbered from 0 to n - 1. Each node is connected to at most 2 other nodes.
The graph consists of m edges, represented by a 2D array edges, where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi.
You have to assign a unique value from 1 to n to each node. The value of an edge will be the product of the values assigned to the two nodes it connects.
Your score is the sum of the values of all edges in the graph.
\n\nReturn the maximum score you can achieve.
\n\n\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2025/03/23/graphproblemex1drawio.png\")
\nInput: n = 7, edges = [[0,1],[1,2],[2,0],[3,4],[4,5],[5,6]]
\n\nOutput: 130
\n\nExplanation:
\n\nThe diagram above illustrates an optimal assignment of values to nodes. The sum of the values of the edges is: (7 * 6) + (7 * 5) + (6 * 5) + (1 * 3) + (3 * 4) + (4 * 2) = 130.
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2025/03/23/graphproblemex2drawio.png\")
\nInput: n = 6, edges = [[0,3],[4,5],[2,0],[1,3],[2,4],[1,5]]
\n\nOutput: 82
\n\nExplanation:
\n\nThe diagram above illustrates an optimal assignment of values to nodes. The sum of the values of the edges is: (1 * 2) + (2 * 4) + (4 * 6) + (6 * 5) + (5 * 3) + (3 * 1) = 82.
\n
Constraints:
\n\n1 <= n <= 5 * 104m == edges.length1 <= m <= nedges[i].length == 20 <= ai, bi < nai != bi给你一个包含 n 个节点的 无向图，节点按从 0 到 n - 1 编号。每个节点 最多 与其他两个节点相连。
图中包含 m 条边，使用一个二维数组 edges 表示，其中 edges[i] = [ai, bi] 表示节点 ai 和节点 bi 之间有一条边。
你需要为每个节点分配一个从 1 到 n 的 唯一 值。边的值定义为其两端节点值的 乘积 。
你的得分是图中所有边值的总和。
\n\n返回你可以获得的 最大 得分。
\n\n\n\n
示例 1：
\n![\"\"](\"https://pic.leetcode.cn/1746840222-TPbWos-graphproblemex1drawio.png\")
\n输入： n = 7, edges = [[0,1],[1,2],[2,0],[3,4],[4,5],[5,6]]
\n\n输出： 130
\n\n解释：
\n\n上图展示了一个最优的节点值分配方式。边值的总和为：(7 * 6) + (7 * 5) + (6 * 5) + (1 * 3) + (3 * 4) + (4 * 2) = 130。
示例 2：
\n![\"\"](\"https://pic.leetcode.cn/1746840222-kMeeiO-graphproblemex2drawio.png\")
\n输入： n = 6, edges = [[0,3],[4,5],[2,0],[1,3],[2,4],[1,5]]
\n\n输出： 82
\n\n解释：
\n\n上图展示了一个最优的节点值分配方式。边值的总和为：(1 * 2) + (2 * 4) + (4 * 6) + (6 * 5) + (5 * 3) + (3 * 1) = 82。
\n\n
提示：
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