A necklace consists of 100 blue and several red beads
Source: Tuymaada 2009, Senior League, First Day, Problem 2
July 19, 2009
ceiling functionratiocombinatorics unsolvedcombinatorics
Problem Statement
A necklace consists of 100 blue and several red beads. It is known that every segment of the necklace containing 8 blue beads contain also at least 5 red beads. What minimum number of red beads can be in the necklace?
Proposed by A. Golovanov