Queen versus rook • Always wins against a lone rook, unless there is an immediate draw (perpetual check / stalemate) • Long known – great piece of chess history – thought to be an easy win • Computers changed that -= difficult win against accurate play Method • Force rook back into a third-rank defence • Reaching the Philidor position from a second rank defence • Winning the rook / forcing mate Queen versus Rook • Famous position analysed by Philidor (1777) • Win for white, when black to move • How to achieve black to move? • How to win Rook and force a win? second rank-defence second rank-defence third rank defence • M. Euwe (1958) Beware – draw via stalemate • D. Ponziani (1782) Saavedra Position • White to move and win!