# No Ordinary Optimization Problem

Calculus Level 3

If $$a, b, c>0$$ and $$a+b+c=1$$, the minimum value of $$(a+\frac{1}{a})^{10}+(b+\frac{1}{b})^{10}+(c+\frac{1}{c})^{10}$$ can be expressed as $$\frac{10^{d}}{3^{e}}$$ where $$d$$ and $$e$$ are positive integers. Find $$d+e$$

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