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BALTIC-WAY 2003 Problem 7

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Let XX be a subset of {1,2,3,…,10000}\{1,2,3, \ldots, 10000\} with the following property: If a,b∈X,a≠ba, b \in X, a \neq b, then a⋅b∉Xa \cdot b \notin X. What is the maximal number of elements in XX ?

Dataset text NuminaMath olympiads. Quoted with source.

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9901

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