# Do it with turbo c++

Number Theory Level 5

$\left \lfloor \frac { { a }^{ 2 } }{ { b }^{ 2 } } \right \rfloor +\left \lfloor \frac { { b }^{ 2 } }{ { a }^{ 2 } } \right \rfloor = \left \lfloor \frac { { a }^{ 2 }+{ b }^{ 2 } }{ ab } \right \rfloor + ab$

If there exists a least pair of natural numbers $$(x, y)$$ to the equation above for positive natural $$a$$ and $$b$$, find $$x + y$$.

Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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