A chocolate bar with rectangular grid has size 4 × 11. Two players make moves in turns. In each step a player breaks one of the current chocolate pieces along a grid line. The player who cannot make a step loses the game. Who wins - the player who starts the game or his opponent?
We consider a two-player game. The players are given an x × y rectangle (where x and y are positive integers). The players take turns moving. A move consists of dividing a rectangle into two rectangles with a single vertical or horizontal cut. The resulting rectangles must have positive integer dimensions.