Mathematics, 04.11.2019 22:31, dulaneystrode
If there are n numbers, there are 2n distinct subsets of the numbers. the sum of each subset is the range from 0 to 99n, so the number of different possible values a sum can have is 99n + 1. in order to guarantee that two subsets have the same sum, the number of subsets must be larger than the number of different possible values for the sum.
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