# Floor Function Power!

$\large \sum_{k=0}^{mn-1} \exp_{-1} \Bigg ( \left \lfloor \frac km \right \rfloor + \left \lfloor \frac kn \right \rfloor \Bigg)$

Let $m$ and $n$ be relatively prime positive integers such that $mn$ is odd. Then what is the value of summation above.

Note the notation, $\exp_A B = A^B$.

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