If I want to find all the Pythagorean Triplets in a specific range, I wrote the following code:

for (int a = 1; a < range; a++) { for (int b = 1; b < range; b++) { for (int c = 1; c < range; c++) { if (a * a + b * b == c * c) { System.out.println(a + "," + b + "," + c); } } } }

But unfortunately I got duplicated triplets, for example: 3, 4, 5 and 4, 3, 5

How can I overcome this?

## Answer

You can remove duplicates by changing your loops, particularly where each one starts:

for (int a = 1; a < range; a++) { for (int b = a + 1; b < range; b++) { for (int c = b + 1; c < range; c++) { if (a * a + b * b == c * c) { System.out.println(a + "," + b + "," + c); } } } }

Notice that the inner loop is unnecessary since you can calculate `c`

directly from `a`

and `b`

. You just have to check if the calculated value is an integer:

for (int a = 1; a < range; a++) { for (int b = a + 1; b < range; b++) { double c = Math.sqrt(a*a + b*b) if (c == int(c)) { System.out.println(a + "," + b + "," + c); } } }