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
Flow Diagram: –
Solution: –
class Solution {
public int countTriples(int n) {
int count = 0;
for(int a = 1; a <= n; a++) {
for(int b = 1; b <= n; b++) {
int temp = Math.max(a, b);
for(int c = temp; c <= n; c++) {
if (a*a + b*b == c*c) count++;
}
}
}
return count;
}
}