Redundant Connection
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] = [ai, bi] indicates that there is an edge between nodes ai and bi 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.
Example 1
Input
edges = [[1,2],[1,3],[2,3]]Output
[2,3]Removing edge [2, 3] breaks the only cycle and leaves a tree.
Example 2
Input
edges = [[1,2],[2,3],[3,4],[1,4],[1,5]]Output
[1,4]Removing edge [1, 4] breaks the cycle while preserving a connected tree.
Constraints
- n == edges.length
- 3 <= n <= 1000
- edges[i].length == 2
- 1 <= ai < bi <= edges.length
- ai != bi
- There are no repeated edges.
- The given graph is connected.