# 500 followers problem-1

Algebra Level 4

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

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

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