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).
Solution
import math
class Solution:
def countTriples(self, n: int) -> int:
cnt = 0
for i in range(1, n):
for j in range(i+1, n):
s = math.sqrt(i**2 + j**2)
if int(s) == s and s <= n:
cnt += 2
return cnt