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BIG-Bench Hard / Alice, Bob, Claire, Dave, and Eve are playing a game. At the start of the game,…

Problem

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input

Alice, Bob, Claire, Dave, and Eve are playing a game. At the start of the game, they are each holding a ball: Alice has a brown ball, Bob has a black ball, Claire has a white ball, Dave has a yellow ball, and Eve has a purple ball.
As the game progresses, pairs of players trade balls. First, Claire and Dave swap balls. Then, Alice and Eve swap balls. Then, Dave and Bob swap balls. Then, Alice and Eve swap balls. Finally, Claire and Eve swap balls. At the end of the game, Alice has the
Options:
(A) brown ball
(B) black ball
(C) white ball
(D) yellow ball
(E) purple ball

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