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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 green present, Bob has a red present, Claire has a white present, Dave has a blue present, Eve has a yellow present, Fred has a black ball, and Gertrude has a purple present.
As the event progresses, pairs of people swap gifts. First, Bob and Alice swap their gifts. Then, Dave and Alice swap their gifts. Then, Gertrude and Claire swap their gifts. Then, Dave and Claire swap their gifts. Then, Alice and Eve swap their gifts. Then, Gertrude and Claire swap their gifts. Finally, Fred and Bob swap their gifts. At the end of the event, Alice has the
Options:
(A) green present
(B) red present
(C) white present
(D) blue present
(E) yellow present
(F) black ball
(G) purple present

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