MathDB

14

Part of 2016 India PRMO

Problems(1)

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

Source:

8/9/2019
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.
minimumSetsSubset