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

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