Consider three different processors P$1,$ P$2,$ and P$3$ executing the same instruction set with the clock rates and CPIs given in the following table. Treat processors in a and b as different groups of processors that are being compared $($you should have and answer for set a$,$ and answer for set b$).$

Processor clock rate$($GHz$)$ CPI

set$($a$)$ P$131\mathrm{.}5$

set$($a$)$ P$22\mathrm{.}51\mathrm{.}0$

set$($a$)$ P$342\mathrm{.}2$

Processor clock rate$($GHz$)$ CPI

set$($b$)$ P$121\mathrm{.}2$

set$($b$)$ P$230\mathrm{.}8$

set$($b$)$ P$342\mathrm{.}0$

i$.$ Which processor has the highest performance expressed in instructions per second?

ii$.$ If the processors each execute a program in $10$ seconds, find the number of cycles and the number of instructions.