let q_1,q_2,...,q_k be positive rational numbers whose sum is 1. Find the maximum value of the function g(n) = n - (sum(floor(n*q_i), i=1...k))

where n goes through all positive integers.

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- March 31st 2011, 05:00 AMbeczFind the maximum
let q_1,q_2,...,q_k be positive rational numbers whose sum is 1. Find the maximum value of the function g(n) = n - (sum(floor(n*q_i), i=1...k))

where n goes through all positive integers.