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Subtraction game SMIL: Image title: Interactive SVG using SMIL of the subtraction game by CMG Lee. Players take turn removing 1, 2 or 3 objects from an initial pool of 21 objects. The player taking the last object wins. Width: 100%: Height: 100%
Subtraction games are generally impartial games, meaning that the set of moves available in a given position does not depend on the player whose turn it is to move.For such a game, the states can be divided up into -positions (positions in which the previous player, who just moved, is winning) and -positions (positions in which the next player to move is winning), and an optimal game playing ...
Cuisenaire rods illustrating the factors of ten A demonstration the first pair of amicable numbers, (220,284). Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on [1] way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors.
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The game "21" is played as a misère game with any number of players who take turns saying a number. The first player says "1" and each player in turn increases the number by 1, 2, or 3, but may not exceed 21; the player forced to say "21" loses. This can be modeled as a subtraction game with a heap of 21 − n objects. The winning strategy for ...
U.S. poultry producers should ramp up testing and monitoring of turkeys for bird flu before they are slaughtered to ensure the virus stays out of the food supply, the U.S. Department of ...
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