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BIG-Bench Hard / Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are on the same team in a…

Problem

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input

Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are on the same team in a soccer match. At the start of the match, they are each assigned to a position: Alice is playing center midfielder, Bob is playing striker, Claire is playing left winger, Dave is playing cheerleader, Eve is playing fullback, Fred is playing right winger, and Gertrude is playing benchwarmer.
As the game progresses, pairs of players occasionally swap positions. First, Alice and Claire trade positions. Then, Gertrude and Bob trade positions. Then, Eve and Alice trade positions. Then, Claire and Fred trade positions. Then, Gertrude and Dave trade positions. Then, Eve and Fred trade positions. Finally, Fred and Bob trade positions. At the end of the match, Fred is playing
Options:
(A) center midfielder
(B) striker
(C) left winger
(D) cheerleader
(E) fullback
(F) right winger
(G) benchwarmer

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