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Elements.

Source: Greece National Olympiad 2000 , tst , Problem 1.

November 19, 2005
pigeonhole principlecombinatorics proposedcombinatorics

Problem Statement

Let F={1,2,...,100}F=\{1,2,...,100\} and let GG be any 1010-element subset of FF. Prove that there exist two disjoint nonempty subsets SS and TT of GG with the same sum of elements.
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