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Question: A man lives in a 100 story apartment building on floor 100. He has to pay to go on the elevator. There is no stairs. For each floor he goes up to he must pay $1. To go down he must pay $0.50 per floor each time. When going up if he previously payed for the floor he does not pay again. The man gets payed $10 each day. In how many days can he get to his room?