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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 orange ball, Bob has a blue ball, Claire has a black ball, Dave has a white ball, and Eve has a purple ball.
As the game progresses, pairs of players trade balls. First, Bob and Dave swap balls. Then, Claire and Eve swap balls. Then, Dave and Eve swap balls. Then, Claire and Dave swap balls. Finally, Alice and Bob swap balls. At the end of the game, Dave has the
Options:
(A) orange ball
(B) blue ball
(C) black ball
(D) white ball
(E) purple ball

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