NMTC Practice Part 11

Algebra Level 5

Out of nn positive integers, not necessarily different, that add up to 20142014,n1n_1 are 11, n2n_2 are 22, n3n_3 are 33, . . . . . . and n2014n_{2014} are 20142014. Determine the maximum possible value of n2+2n3+3n4+4n5++2013n2014n_2+2n_3+3n_4+4n_5+ \ldots+ 2013n_{2014}.

Part of NMTC Practice Problems.
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