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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 left winger, Bob is playing goalkeeper, Claire is playing center midfielder, Dave is playing right midfielder, Eve is playing fullback, Fred is playing left midfielder, and Gertrude is playing cheerleader.
As the game progresses, pairs of players occasionally swap positions. First, Gertrude and Eve trade positions. Then, Gertrude and Alice trade positions. Then, Eve and Claire trade positions. Then, Fred and Eve trade positions. Then, Claire and Gertrude trade positions. Then, Claire and Dave trade positions. Finally, Fred and Bob trade positions. At the end of the match, Fred is playing
Options:
(A) left winger
(B) goalkeeper
(C) center midfielder
(D) right midfielder
(E) fullback
(F) left midfielder
(G) cheerleader

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