olymmath

IZhO 2014 Problem 3

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There are given 100 distinct positive integers. We call a pair of integers among them good if the ratio of its elements is either 2 or 3 . What is the maximum number gg of good pairs that these 100 numbers can form? (A same number can be used in several pairs.)

Dataset text NuminaMath olympiads. Quoted with source.

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180

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