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Let a≥b≥c≥0a \geq b \geq c \geq 0a≥b≥c≥0 be reals such that a+b+c=21a+b+c=21a+b+c=21. Find the maximum value of a2+3b2+5c2a^2 + 3b^2 + 5c^2a2+3b2+5c2.
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