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

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