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IMC 2003 / A4

Source: IMC 2003 day 1 problem 4

July 29, 2005
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Problem Statement

Determine the set of all pairs (a,b) of positive integers for which the set of positive integers can be decomposed into 2 sets A and B so that a⋅A=b⋅Ba\cdot A=b\cdot B.
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