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Let a,b,c and d be non-negative real numbers such that a4a^{4}a4+b4b^{4}b4+c4c^{4}c4+d4d^{4}d4=16. Then find the maximum possible value of a5a^{5}a5+b5b^{5}b5+c5c^{5}c5+d5d^{5}d5.
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