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

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