# Functional Equations

Algebra Level 5

$\large f(km)+f(kn)-f(k)f(mn)\geq 1$

Denote a function $$f:\mathbb{N}\rightarrow \mathbb{R}$$ such that it satisfy the equation above for all $$k,m,n$$.

Find the sum of squares of all possible values of $$f(2015)$$ .

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