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