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Perfect Friends

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.

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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.

Constraints

None

Format

Input

Input has been managed for you

Output

Check the sample output

Example

Sample Input

7 5 0 1 2 3 4 5 5 6 4 6

Sample Output

16

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