Consider two processors \(P_1\) and \(P_2\) executing the same instruction…

Consider two processors $P_1$ and $P_2$ executing the same instruction set. Assume that under identical conditions, for the same input, a program running on $P_2$ takes 25% less time but incurs 20% more CPI (clock cycles per instruction) as compared to the program running on $P_1$. If the clock frequency of $P_1$ is 1GHZ, then the clock frequency of $P_2$ (in GHz) is ______.