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sum of all products a_1a_2...a_{50}

Source: 2010 Argentina OMA Finals L3 p4

January 15, 2023
algebraSum

Problem Statement

Find the sum of all products a1a2...a50a_1a_2...a_{50} , where a1,a2,...,a50a_1,a_2,...,a_{50} are distinct positive integers, less than or equal to 101101, and such that no two of them add up to 101101.
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