Package g2301_2400.s2316_count_unreachable_pairs_of_nodes_in_an_undirected_graph

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    2316 - Count Unreachable Pairs of Nodes in an Undirected Graph\.

    Medium

    You are given an integer n. There is an undirected graph with n nodes, numbered from 0 to n - 1. You are given a 2D integer array edges where <code>edgesi = a<sub>i</sub>, b<sub>i</sub></code> denotes that there exists an undirected edge connecting nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>.

    Return the number of pairs of different nodes that are unreachable from each other.

    Example 1:

    Input: n = 3, edges = \[\[0,1],0,2,1,2]

    Output: 0

    Explanation: There are no pairs of nodes that are unreachable from each other.

    Therefore, we return 0.

    Example 2:

    Input: n = 7, edges = \[\[0,2],0,5,2,4,1,6,5,4]

    Output: 14

    Explanation: There are 14 pairs of nodes that are unreachable from each other: [0,1,0,3,0,6,1,2,1,3,1,4,1,5,2,3,2,6,3,4,3,5,3,6,4,6,5,6].

    Therefore, we return 14.

    Constraints:

    • <code>1 <= n <= 10<sup>5</sup></code>

    • <code>0 <= edges.length <= 2 * 10<sup>5</sup></code>

    • edges[i].length == 2

    • <code>0 <= a<sub>i</sub>, b<sub>i</sub>< n</code>

    • <code>a<sub>i</sub> != b<sub>i</sub></code>

    • There are no repeated edges.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Long countPairs(Integer n, Array<IntArray> edges)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait