Tim while preparing for his CAT exam, was studying the topic Number Systems. He encountered a loving da question: Given a number N, find the number of pairs (cy) where both x and y are less than N and Highent Common Factor(HCF) of x and y is 1.   You have to solve the question for him. Note: 0 can be included within the pairs   Input Specification: Input: The number N from which the pairs (x,y) should be obtained   Output Specification: Return the total number of pairs   Example 1:   input1: 4 Output: 9   Explanation: The pairs can be (1,0) ,(0,1) (1,1) (1,2) (2,1) (0, 3) (3,1) (2,3) (0,2) So, a total of 9 pairs

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Tim while preparing for his CAT exam, was studying the topic Number Systems. He encountered a loving da question:

Given a number N, find the number of pairs (cy) where both x and y are less than N and Highent Common Factor(HCF) of x and y is 1.

 

You have to solve the question for him.

Note: 0 can be included within the pairs

 

Input Specification:

Input: The number N from which the pairs (x,y) should be obtained

 

Output Specification:

Return the total number of pairs

 

Example 1:

 

input1: 4

Output: 9

 

Explanation:

The pairs can be (1,0) ,(0,1) (1,1) (1,2) (2,1) (0, 3) (3,1) (2,3) (0,2)

So, a total of 9 pairs

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