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

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