Takuzu vs Nim
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Takuzu
Takuzu, frequently referred to as Binairo or Binary Puzzle, is a constraint-based logic game played on a rectangular grid. The objective is to complete the grid using only zeros and ones while adhering to three strict mathematical rules. Each row and column must contain an equal number of both digits, no more than two identical numbers can be placed adjacent to one another, and every row and colum...
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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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