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BIG-Bench Hard / Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are friends and avid readers…

Problem

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input

Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are friends and avid readers who occasionally trade books. At the start of the semester, they each buy one new book: Alice gets The Great Gatsby, Bob gets Frankenstein, Claire gets Moby Dick, Dave gets The Odyssey, Eve gets Lolita, Fred gets The Pearl, and Gertrude gets The Fellowship of the Ring.
As the semester proceeds, they start trading around the new books. First, Eve and Claire swap books. Then, Fred and Claire swap books. Then, Bob and Gertrude swap books. Then, Alice and Fred swap books. Then, Claire and Dave swap books. Then, Bob and Gertrude swap books. Finally, Eve and Bob swap books. At the end of the semester, Eve has
Options:
(A) The Great Gatsby
(B) Frankenstein
(C) Moby Dick
(D) The Odyssey
(E) Lolita
(F) The Pearl
(G) The Fellowship of the Ring

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