$1\mathrm{.}6[20]$$$1\mathrm{.}6>$ Consider two different implementations of the same instruction set architecture. The instructions can be divided into four classes according to their CPI $($class A$,$ B$,$ C$,$ and D$).$ P$1$ with a clock rate of $2\mathrm{.}5GHz$ and CPIs of $1,2,3,$ and $3,$ and P$2$ with a clock rate of $3GHz$ and CPIs of $2,2,2,$ and $2.$

Given a program with a dynamic instruction count of $1\mathrm{.}0E6$ instructions divided into classes as follows: $10\%$ class A$,20\%$ class B$,50\%$ class C$,$ and $20\%$ class D$,$ which implementation is faster?