There are 64 pawns placed on a chessboard. Each square contains a pawn. Two players are on the same side of the chessboard. Each player takes turns and removes a pawn along with all pawns above it and to its right. The player who picks the pawn at the bottom-left corner loses. Who can definitely win the game?

Sunday, August 14, 2011

Please email your solutions to puzzles@cotpi.com.

### 2 comments

### Credit

This puzzle is taken from folklore.

## Dan Hoey solved this puzzle:

A move at (1, 1) by the first player removes all pawns at (x, y) where x ≥ 1 and y ≥ 1. In that case the only pawns left are at (x, 0) and (0, y), and the first player wins by mirroring the second player's strategy.

## Rajesh Balakrishnan solved this puzzle:

First guy knocks off b2! Then always mirror the opponent's moves symmetrically across the diagonal and win.