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Suppose you are given a number X.

Then, if X is odd

Y = X2/2 - 1/2 and Z = Y + 1 form a triplet.

and

if X is even, then

Y = X2/4 - 1 and Z = Y + 2 form a triplet.

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Q: How do you find a Pythagorean triplet if one number is given?
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