Cyclic

Algebra Level 4

Positive real aa, bb, cc, and dd are such that a+b+c+d=1a + b + c + d = 1, find the minimum of:

a3b+c+b3c+d+c3d+a+d3a+b.\frac{a^3}{b + c} + \frac{b^3}{c + d} + \frac{c^3}{d + a} + \frac{d^3}{a + b} .

This is part of the set My Problems and THRILLER

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