Assume that a processor uses arithmetic instructions with a CPI of $1,$ load$/$store instructions with a CPI of $12,$ and branch instructions with a CPI of $5.$ Consider running a test program on this processor which contains $2\mathrm{.}5$x$109$ arithmetic instructions, $1\mathrm{.}24$x$109$ load$/$store instructions, and $0\mathrm{.}26$x$109$ branch instructions. Assume the processor runs at $2$GHz find the total execution time for the test program