Definition:Wythoff's Game

Definition
Wythoff's game is a game for two players whose rules are as follows:


 * $(1): \quad$ The game starts with two piles of counters.


 * $(2): \quad$ Each player takes it in turns to remove either:
 * A number of counters from one pile
 * A number of counters from both pile such that the number of counters removed from each pile must be equal.


 * $(3): \quad$ The person who removes the last counter (or counters) is the winner.