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

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