# 1 more day to Valentine

Algebra Level 5

$\large (a^2-ab+b^2)(b^2-bc+c^2)(c^2-ac+a^2)\leq\frac{m}{n}$ If $$a,b$$ and $$c$$ are non-negative reals satisfying $$a+b+c=2$$ and $$m$$ and $$n$$ are coprime positive integers, find $$m+n$$.

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