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Given a set of numbers with fractional parts, we want to round them to a set of nearby integers so that the integers sum to a specified target. This problem might arise in preparing a report where numbers are rounded to fewer digits, or in choosing a number of representatives for each state in a House of Representatives, based on population;

! Ref: Balinski, M. and H. Young (2001), Fair Representation, Meeting the Ideal of One Man, One Vote, 2nd ed., Brookings Institution Press.