# From Europe with love

Algebra Level 4

$\large \dfrac{1}{a^4+1}+\dfrac{1}{b^4+1}+\dfrac{1}{c^4+1}+\dfrac{1}{d^4+1}=1$

Let $$a,b,c$$ and $$d$$ be positive reals satisfying the equation above, find the minimum value of $$20abcd$$.

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