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a5+b5+c5+d5\large a^5+b^5+c^5+d^5a5+b5+c5+d5
If a,b,c,da, b, c, da,b,c,d are real numbers such that a4+b4+c4+d4=16a^4+b^4+c^4+d^4=16a4+b4+c4+d4=16, find the maximum value of the expression above.
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