Package g2601_2700.s2685_count_the_number_of_complete_components

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    2685 - Count the Number of Complete Components.

    Medium

    You are given an integer n. There is an undirected graph with n vertices, 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 vertices <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>.

    Return the number of complete connected components of the graph.

    A connected component is a subgraph of a graph in which there exists a path between any two vertices, and no vertex of the subgraph shares an edge with a vertex outside of the subgraph.

    A connected component is said to be complete if there exists an edge between every pair of its vertices.

    Example 1:

    Input: n = 6, edges = [0,1,0,2,1,2,3,4]

    Output: 3

    Explanation: From the picture above, one can see that all of the components of this graph are complete.

    Example 2:

    Input: n = 6, edges = [0,1,0,2,1,2,3,4,3,5]

    Output: 1

    Explanation: The component containing vertices 0, 1, and 2 is complete since there is an edge between every pair of two vertices. On the other hand, the component containing vertices 3, 4, and 5 is not complete since there is no edge between vertices 4 and 5. Thus, the number of complete components in this graph is 1.

    Constraints:

    • 1 &lt;= n &lt;= 50

    • 0 &lt;= edges.length &lt;= n * (n - 1) / 2

    • edges[i].length == 2

    • <code>0 <= a<sub>i</sub>, b<sub>i</sub><= n - 1</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 Integer countCompleteComponents(Integer n, Array<IntArray> edges)

      • Methods inherited from class java.lang.Object

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