Redundant Connection II

IF
AlgoAxiomStaff Engineers
JSTS
Hard20 mins

In this problem, a rooted tree is a directed graph such that there is exactly one node (the root) for which all other nodes are descendants of this node, plus every node has exactly one parent except the root which has no parents.

The given input is a directed graph that started as a rooted tree with n nodes (with distinct values from 1 to n), with one additional directed edge added. The added edge has two different vertices chosen from 1 to n, and was not an edge that already existed.

Return an edge that can be removed so that the resulting graph is a rooted tree of n nodes. If there are multiple answers, return the answer that occurs last in the given 2D array.

Examples

Example 1:

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

Output: [2,3]

Explanation: Node 3 has two parents (1 and 2). Removing [2,3] results in a valid rooted tree.

Example 2:

Input: edges = [[1,2],[2,3],[3,1],[4,1]]

Output: [3,1]

Explanation: The extra edge creates a cycle. Removing [3,1] breaks the cycle.

Constraints

  • n == edges.length
  • 3 <= n <= 1000
  • edges[i].length == 2
  • 1 <= ui, vi <= n
  • ui != vi
Source: Union Find pattern — AlgoAxiom
JavaScript
Test Case 1
root = [1, 2, 3]
Test Case 2
root = [1, 2, 3, 4, 5]
Idle