Northcott\'s Game. A position in Northcott\'s game is a checkerboard with one bl

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Northcott's Game. A position in Northcott's game is a checkerboard with one black and one white checker on each row. "White" moves the white checkers and "Black" moves the black checkers. A checker may move any number of squares along its row, but may not jump over or onto the other checker. Players move alternately and the last to move wins. Note two points: This is a partizan game, because Black and White have different moves from a given position. This game does not satisfy the Ending Condition, (6) of Section 1.2. The players could move around endlessly. Nevertheless, knowing how to play nim is a great advantage in this game. In the position below, who wins, Black or White? or does it depend on who moves first?

Explanation / Answer

depends on who moves first.

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