Pythagorean Triples

Statement

Given an integer array, find all Pythagorean triples ($a^2$ + $b^2$ = $c^2$), where $a$, $b$ and $c$ are the array elements.

Example

Here is a sample array.

Sample input

[4, 16, 1, 2, 3, 5, 6, 8, 25, 10]

Expected output

[[3, 4, 5], [6, 8, 10]]

The triples are calculated as: