2685. Count the Number of Complete Components

Medium

279

3

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] = [a`

denotes that there exists an _{i}, b_{i}]**undirected** edge connecting vertices `a`

and _{i}`b`

._{i}

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:3Explanation: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:1Explanation: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 <= n <= 50`

`0 <= edges.length <= n * (n - 1) / 2`

`edges[i].length == 2`

`0 <= a`

_{i}, b_{i}<= n - 1`a`

_{i}!= b_{i}- There are no repeated edges.

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