$|$ 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 $P2$ 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?

What is the global CPI for each implementation?

Class A: $1{10}^5$ instructions

Class $B$:$2{10}^5$ instructions

Class C: $5{10}^5$ instructions

Class $D$:$2{10}^5$ instructions

Global CPI P$1$