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March 11, 2005
combinatorics

Problem Statement

2121 distinct numbers are chosen from the set {1,2,3,…,2046}.\{1,2,3,\ldots,2046\}. Prove that we can choose three distinct numbers a,b,ca,b,c among those 2121 numbers such that bc<2a2<4bcbc<2a^2<4bc
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