Suppose a processor with only one data cache and one instruction cache executes at $400$MHz clock rate with ideal CPI $=1.$ Imagine a program that contains $50\%$ arithmetic$/$logic instructions, $30\%$ load$/$store operations, and $20\%$ control transfer instructions $($conditional$/$unconditional branches and procedure jumps$).$ If the miss rate for data cache is $20\%$ and that for instruction cache $5\%,$ both with $200$ cycles miss penalty, what is the average CPI of the program?