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The three cups problem, also known as the three cup challenge and other variants, is a mathematical puzzle that, in its most common form, cannot be solved. In the beginning position of the problem, one cup is upside-down and the other two are right-side up. The objective is to turn all cups right-side up in no more than six moves, turning over exactly two cups at each move.

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  • The three cups problem, also known as the three cup challenge and other variants, is a mathematical puzzle that, in its most common form, cannot be solved. In the beginning position of the problem, one cup is upside-down and the other two are right-side up. The objective is to turn all cups right-side up in no more than six moves, turning over exactly two cups at each move. The solvable (but trivial) version of this puzzle begins with one cup right-side up and two cups upside-down. To solve the puzzle in a single move, turn up the two cups that are upside down — after which all three cups are facing up. As a magic trick, a magician can perform the solvable version in a convoluted way, and then ask an audience member to solve the unsolvable version. (en)
  • 三個杯子問題(three cups problem)是(最常見版本下)無法解的智力游戏。 在問題一開始,一個杯子是倒著放,二個杯子正放。目標是在六步以內將所有的杯子變成正放,而且每一步都只能將二個杯子反放(從正放變倒放,或從倒放變正放)。 (zh)
  • Задача про три склянки — це математична головоломка, яка не має розв'язку в найбільш поширеному формулюванні. Початкова позиція задачі: одна склянка перевернута догори дном, а дві інших — стоять правильно. Необхідно перевернути всі склянки у правильне положення не більші ніж за шість кроків, кожного кроку перевертаючи по дві склянки. (uk)
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  • 三個杯子問題(three cups problem)是(最常見版本下)無法解的智力游戏。 在問題一開始,一個杯子是倒著放,二個杯子正放。目標是在六步以內將所有的杯子變成正放,而且每一步都只能將二個杯子反放(從正放變倒放,或從倒放變正放)。 (zh)
  • Задача про три склянки — це математична головоломка, яка не має розв'язку в найбільш поширеному формулюванні. Початкова позиція задачі: одна склянка перевернута догори дном, а дві інших — стоять правильно. Необхідно перевернути всі склянки у правильне положення не більші ніж за шість кроків, кожного кроку перевертаючи по дві склянки. (uk)
  • The three cups problem, also known as the three cup challenge and other variants, is a mathematical puzzle that, in its most common form, cannot be solved. In the beginning position of the problem, one cup is upside-down and the other two are right-side up. The objective is to turn all cups right-side up in no more than six moves, turning over exactly two cups at each move. (en)
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  • Three cups problem (en)
  • Задача про три склянки (uk)
  • 三個杯子問題 (zh)
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