count-square-sum-triples

count-square-sum-triples


A square triple (a,b,c) is a triple where a, b, and c are integers and a2 + b2 = c2.



Given an integer n, return the number 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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