Perfect Friends

easy
1. You are given a number n (representing the number of students). Each student will have an id 
     from 0 to n - 1.
2. You are given a number k (representing the number of clubs)
3. In the next k lines, two numbers are given separated by a space. The numbers are ids of 
     students belonging to same club.
4. You have to find in how many ways can we select a pair of students such that both students are 
     from different clubs.

Input Format

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Output Format

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Constraints

None

Notice

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Example

Input
7
5
0 1
2 3
4 5
5 6
4 6
Output
16
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