Count the Number of Complete Components
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 edges[i] = [ai, bi] denotes that there exists an undirected edge connecting vertices ai and bi.
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
3All 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
1The component containing vertices 0, 1, and 2 is complete, while the component containing vertices 3, 4, and 5 is not complete because there is no edge between vertices 4 and 5.
Constraints
- 1 <= n <= 50
- 0 <= edges.length <= n * (n - 1) / 2
- edges[i].length == 2
- 0 <= ai, bi <= n - 1
- ai != bi
- There are no repeated edges.