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It is given that a,b,c,d>0a, b, c, d > 0a,b,c,d>0 and ab+bc+cd+da=1ab + bc + cd + da = 1ab+bc+cd+da=1. Find the minimum value of
∑cyca3b+c+d\sum_{cyc}\frac{a^{3}}{b + c + d}cyc∑b+c+da3
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