For the next three problems, we will consider the addition of an L$2$ cache to P$1$ to presumably make up for its limited L$1$ cache capacity. Assume main memory access takes $70$ns and memory accesses are $36\%$ of all instructions. The data for L$1$ cache is as follows: The L$2$ miss rate indicated is its local miss rate. L$2$ Size: $1$MB L$2$ Miss Rate: $95\%$ L$2$ Hit Time: $5\mathrm{.}62$ns What is the AMAT for P$1$ with the addition of an L$2$ cache? Is the AMAT better or worse with the L$2$ cache?