Distributions of stickers
Source: Brazil MO 2011 #2
October 20, 2011
floor functiongraph theorycombinatorics
Problem Statement
33 friends are collecting stickers for a 2011-sticker album. A distribution of stickers among the 33 friends is incomplete when there is a sticker that no friend has. Determine the least with the following property: every distribution of stickers among the 33 friends such that, for any two friends, there are at least stickers both don't have, is incomplete.