## Misère Nim

Two people are playing game of Misère Nim. The basic rules for this game are as follows: The game starts with piles of stones indexed from to . Each pile (where ) has stones. The players move

View Solution →## Nimble Game

Two people are playing Nimble! The rules of the game are: The game is played on a line of squares, indexed from to . Each square (where ) contains coins. For example: The players move in alt

View Solution →## Poker Nim

Poker Nim is another -player game that's a simple variation on a Nim game. The rules of the games are as follows: The game starts with piles of chips indexed from to . Each pile (where ) has ch

View Solution →## Alice and Bob's Silly Game

Alice and Bob invented the following silly game: The game starts with an integer, , that's used to build a of distinct integers in the inclusive range from to (i.e., ). Alice always plays firs

View Solution →## Tower Breakers, Revisited!

cTwo players (numbered and ) are playing a game of Tower Breakers! The rules of the game are as follows: Player always moves first, and both players always move optimally. Initially there are t

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