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  2. Subtraction game - Wikipedia

    en.wikipedia.org/wiki/Subtraction_game

    Subtraction game. In combinatorial game theory, a subtraction game is an abstract strategy game whose state can be represented by a natural number or vector of numbers (for instance, the numbers of game tokens in piles of tokens, or the positions of pieces on board) and in which the allowed moves reduce these numbers. [1][2] Often, the moves of ...

  3. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    Subtraction is an operation that represents removal of objects from a collection. [1] For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches. Therefore, the difference of 5 and 2 is 3; that is, 5 − 2 = 3.

  4. Subtract a square - Wikipedia

    en.wikipedia.org/wiki/Subtract_a_square

    Subtract-a-square (also referred to as take-a-square) is a two-player mathematical subtraction game. It is played by two people with a pile of coins (or other tokens) between them. The players take turns removing coins from the pile, always removing a non-zero square number of coins. The game is usually played as a normal play game, which means ...

  5. Nim - Wikipedia

    en.wikipedia.org/wiki/Nim

    None. Nim is a mathematical game of strategy in which two players take turns removing (or "nimming") objects from distinct heaps or piles. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap or pile. Depending on the version being played, the goal of the game is ...

  6. KenKen - Wikipedia

    en.wikipedia.org/wiki/KenKen

    A simple KenKen puzzle, with answers filled in as large numbers. KenKen and KenDoku are trademarked names for a style of arithmetic and logic puzzle invented in 2004 by Japanese math teacher Tetsuya Miyamoto, [1] who intended the puzzles to be an instruction-free method of training the brain. [2] The name derives from the Japanese word for ...

  7. Wythoff's game - Wikipedia

    en.wikipedia.org/wiki/Wythoff's_game

    Wythoff's game is a two-player mathematical subtraction game, played with two piles of counters. Players take turns removing counters from one or both piles; when removing counters from both piles, the numbers of counters removed from each pile must be equal. The game ends when one player removes the last counter or counters, thus winning.

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