Pythagorean triplets

Computer Science Level 3

Pythagorean triplets are triplets that satisfy the condition that \(a^{2}+b^{2}=c^{2}\) such that \(a<b<c\). Given an unsorted array of unique integers in the text file, how many Pythagorean triplets are there?

As an explicit example, in the array \([3,7,10,6,4,8,5,11]\), there are \(2\) Pythagorean Triplets, namely \((3, 4, 5)\) and \((8, 6, 10)\).

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