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subset of R_{+}^{*} with m elements such nο of subsets with same sum is max

Source: II Brazilian Olympic Revenge 2003 p7

April 23, 2020

Subsetsmaxcombinatoricspositive integers

Problem Statement

Let

X

be a subset of

R_{+}^{*}

with

m

elements. Find

X

such that the number of subsets with the same sum is maximum.