LogiQuest

150. Pythagorean Triplets

MediumBrute Force

Count triplets a < b < c ≤ n with a² + b² = c².

Input format

A single integer n.

Output format

The count.

Example 1

Input

5

Output

1

Example 2

Input

4

Output

0

Constraints

1 ≤ n ≤ 2000

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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