Peter and Bob
Source: All Russian 2014 Grade 11 Day 1 P2
April 30, 2014
combinatorics proposedcombinatorics
Problem Statement
Peter and Bob play a game on a chessboard. At the beginning, all squares are white apart from one black corner square containing a rook. Players take turns to move the rook to a white square and recolour the square black. The player who can not move loses. Peter goes first. Who has a winning strategy?