If the Earth's atmosphere is considered to extend from the surface to 20 km, the earth's radius is 6,200 km, and the atmosphere is partitioned into cells spaced 0.5 km apart, how many floating-point calculations will be required to run one iteration of a global weather simulation, assuming that each cell requires 200 floating-point operations? If it requires 20 cycles (iterations) of simulation to calculate the weather over the next 24 hours and a forecast is needed in 30 minutes, what must the FLOPS rating of the computing system be?