Aaron designs a $4$ GHz processor where two important programs, A and B$,$ take one second each to execute. Program A has a CPI of $1$ and program B has a CPI of $1\mathrm{.}25.$

Erin is tasked with designing the company's next$-$generation processor. She comes up with an idea that improves the CPI of A to $0\mathrm{.}6$ and the CPI of B to $1\mathrm{.}0.$ But the idea is so complex that the processor can only be implemented with a cycle time of $0\mathrm{.}33$ ns$.$

Does Erin's new processor out$-$perform Aaron's processor on program A$?$ Does Erin's new processor out$-$perform Aaron's processor on program B$?(1\mathrm{.}5$ point$)$