# Inverse Pythagorean Triple

$\left ( \dfrac1x \right)^2 + \left ( \dfrac1y \right)^2 = \left ( \dfrac1z \right)^2$ For all triples of natural numbers $$(x, y, z)$$ fulfilling the equation above, sum all the distinct values of $$z$$ less than 100.

Inspired from this discussion about Inverse Pythagorean Theorem.

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