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Count Square Sum Triples

Easy

A square triple (a,b,c) is a triple where a, b, and c are integers and a^2+ b^2= c^2.

You receive an integer n, provide the count of square triples such that 1 <= a, b, c <= n.

Example 1

Input: n = 5

Output: 2 Explanation: The square triples are (3,4,5) and (4,3,5).

Example 2

Input: n = 10

Output: 4 Explanation: The square triples are (3,4,5), (4,3,5), (6,8,10), and (8,6,10).

Constraints

  • 1 <= n <= 250

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