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Part of 2001 Hungary-Israel Binational

Problems(1)

$32$ positive integers with the sum $120$

Source: 12-th Hungary-Israel Binational Mathematical Competition 2001

4/13/2007
Let be given 3232 positive integers with the sum 120120, none of which is greater than 60.60. Prove that these integers can be divided into two disjoint subsets with the same sum of elements.
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