Farkle vs Nim
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Farkle
Farkle is a push-your-luck dice game usually played with six dice. Players roll, set aside scoring combinations, and may continue rolling to increase the score for a turn; if a roll contains no scoring dice, the turn is farkled and the points accumulated during that turn are lost. The game has several rule variations and is also sold or described under names such as Zilch and 10,000.
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Nim
Nim is a mathematical strategy game in which two players alternately remove one or more objects from a single pile among several piles. Under the standard normal-play rule, the player taking the final object wins, and optimal play can be determined by computing the binary exclusive-or, or nim-sum, of the pile sizes. Charles L. Bouton published a complete analysis in 1901, making Nim a foundational...
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