user: Alex and Max are running a race against each other. At the beginning of the race they are even with each other for 200 feet. Then Alex gets ahead of Max by 300 feet. Then Max gets ahead of Alex by 170 feet. Alex gets a burst of speed and gets ahead of Max by 440 feet. If the road they're running on is 5000 feet long, how many feet are there left for Max to catch up to Alex? Let's think step by step and output the final answer after "####".
Answer: 3890