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The 24 puzzle is an arithmetical puzzle in which the objective is to find a way to manipulate four integers so that the end result is 24. For example, for the numbers 4, 7, 8, 8, a possible solution is . Note that all four numbers must be used exactly once.
The problem has been played as a card game in Shanghai since the 1960s,[1] using playing cards. It has been known by other names, including Maths24.[citation needed] A proprietary version of the game has been created which extends the concept of the basic game to more complex mathematical operations.