500 followers problem-1

Algebra Level 4

11+a4+11+b4+11+c4+11+d4=1 \dfrac{1}{1+a^4}+\dfrac{1}{1+b^4}+\dfrac{1}{1+c^4}+\dfrac{1}{1+d^4}=1

Let a,b,ca,b,c and dd be positive real numbers satisfying the equation above, find the minimum value of abcdabcd.

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