Q$\mathrm{.}3.(20$ points$)$ A computer system has a level $1$ cache $($L$1)$ and a level $2$ cache $($L$2).$ For a given program with $1$ million instructions, L$1$ cache miss rate is $\backslash (20\backslash \%\backslash )$ and L$2$ cache miss rate is $\backslash (10\backslash \%\backslash ).$ Average instruction execution time is $20$ ns $.$ For the misses, time to take a block from main memory into L$2$ cache is $300$ ns and time to take a block from L$2$ cache into L$1$ cache is $50$ ns $.$

Calculate the time to execute this program. Give your result in milliseconds. Show all calculations.