Chips on a chessboard
Source: Tuymaada 2012, Problem 1, Day 1, Seniors and Juniors
July 21, 2012
symmetrycombinatorics proposedcombinatoricscombinatorics solvedgridrectangle
Problem Statement
Tanya and Serezha take turns putting chips in empty squares of a chessboard. Tanya starts with a chip in an arbitrary square. At every next move, Serezha must put a chip in the column where Tanya put her last chip, while Tanya must put a chip in the row where Serezha put his last chip. The player who cannot make a move loses. Which of the players has a winning strategy?Proposed by A. Golovanov