$1.$ 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 $2\mathrm{.}5$ GHz and CPIs of $1,2,3,$ and $2,$ and P$2$ with a clock rate of $3$ GHz and CPIs of $2,3,2,$ and $2.$ Given a program with a dynamic instruction count of $1\mathrm{.}0$E$6$ instructions divided into classes as follows: $30\%$ class A$,20\%$ class B$,30\%$ class C$,$ and $20\%$ class D$,$ which implementation is faster? $(15$ pts$)$

$$ What is the global CPI for each implementation?

$$ Find the clock cycles required in both cases.