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2016 preRMO p14, |a - b|<= 3, a,b in m element subset of {1,2,...,2016}

Source:

August 9, 2019
minimumSetsSubset

Problem Statement

Find the minimum value of mm such that any mm-element subset of the set of integers {1,2,...,2016}\{1,2,...,2016\} contains at least two distinct numbers aa and bb which satisfy ∣a−b∣≤3|a - b|\le 3.
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