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

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