280. Redundant Connection

MediumGraph

In this problem, a tree is an undirected graph that is connected and has no cycles. You are given a graph that started as a tree with n nodes labeled from 1 to n, with one additional edge added. The added edge has two different vertices chosen from 1 to n, and was not an edge that already existed. The graph is represented as an array edges of length n where edges[i] = [a_i, b_i] indicates that there is an edge between nodes a_i and b_i in the graph. Return an edge that can be removed so that the resulting graph is a tree of n nodes. If there are multiple answers, return the answer that occurs last in the input.

Examples

Input: [[1,2],[1,3],[2,3]]

Output: [2,3]

Explanation: Edges 1-2 and 1-3 join {1,2,3}; adding 2-3 closes a cycle, so [2,3] is redundant.

Constraints

  • n == edges.length
  • 3 <= n <= 1000
  • edges[i].length == 2
  • 1 <= a_i < b_i <= edges.length
  • a_i != b_i
  • There are no repeated edges.
  • The given graph is connected.
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