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

Problem

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input

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

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