I like my shower to remain hot for hours at 100 deg F, but am too cheap to buy one of those on-demand hot water systems. I don't care how slowly the water runs. The water supply is at 50 deg F and the water heater is rated at 50,000 BTU/hour. Write a script to compute the maximum flow rate of my shower (in cubic feet per minute) that keeps the water temperature above 100 deg F.