A TV quiz program pays a contestant $100 for each correct answer for ten questions. If all ten questions are answered correctly, bonus questions are asked. The reward for every correct answer is increased by $50 for each bonus question that is correctly answered. Any incorrect answer ends the game. If two bonus questions are answered correctly, the contestant receives $200 for each of the 12 questions. If a contestant won more than $3500, how many questions must have been answered correctly?
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