Assume that the actual running time of a parallel program on a dedicated P-processor machine is Your research group has produced two chess programs, a simple one and an optimize done. The simple one...

Assume that the actual running time of a parallel program on a dedicated P-processor machine is

Your research group has produced two chess programs, a simple one and an optimize done. The simple one hasT1=2048 seconds and T∞=1 second. When you run it on your 32-processor machine, sure enough, the running time is 65 steps. Your students then produce an “optimized” version withT′1=1024 seconds and T∞=8 seconds. When you run it on your 32-processor machine, the running time is 40 steps, as predicted by our formula. Which program will scale better to a 512-processor machine?