2013 balls inside boxes
Source: Turkey Junior National Olympiad 2013 P4
November 29, 2013
combinatorics proposedcombinatorics
Problem Statement
Player places an odd number of boxes around a circle and distributes balls into some of these boxes. Then the player chooses one of these boxes and takes the balls in it. After that the player chooses half of the remaining boxes such that none of two are consecutive and take the balls in them. If player guarantees to take balls, find the maximum possible value of .