$[20\%]$ A $2-$level cache system with write$-$through L$1$ cache. The L$1$ cache is configured as follows: $4-$way, block size of $32$ bytes, total size is $4$KB$.$ The L$2$ cache is configured as follows: $8-$way, block size of $64$ bytes, total size is $64$ KB$.$ Assume that the least recently used $($LRU$)$ replacement policy is implemented. Hit rate for L$1$ and L$2$ should be counted separately.