2-player game with a square, drawing segments of given segment
Source: 2011 Argentina OMA L3 p6
June 17, 2020
geometrycombinatoricsgamesegmentssquaregame strategywinning strategy
Problem Statement
We have a square of side and a number such that . Two players and , in turn, draw in the square an open segment (without its two ends) of length , starts A. Each segment after the first cannot have points in common with the previously drawn segments. He loses the player who cannot make his play. Determine if either player has a winning strategy.