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BIG-Bench Hard / Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are holding a white elephant…

Problem

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input

Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are holding a white elephant gift exchange. At the start of the event, they are each holding a present of a different color: Alice has a black ball, Bob has a orange ball, Claire has a white present, Dave has a green present, Eve has a blue present, Fred has a red present, and Gertrude has a yellow present.
As the event progresses, pairs of people swap gifts. First, Alice and Eve swap their gifts. Then, Alice and Fred swap their gifts. Then, Gertrude and Dave swap their gifts. Then, Fred and Eve swap their gifts. Then, Claire and Bob swap their gifts. Then, Claire and Dave swap their gifts. Finally, Dave and Alice swap their gifts. At the end of the event, Alice has the
Options:
(A) black ball
(B) orange ball
(C) white present
(D) green present
(E) blue present
(F) red present
(G) yellow present

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