Assume a $2$way set associative write$-$back cache with many, cache entries that starts empty. Following is a sequence of five memory operations:Write Mem$[0$x$140])$;Write Mem$[0$x$184]$:Read Mem$[0$x$142)$: Write Mem$[0$x$14$C$]$;Write Mem$[0$x$170)$With C$-16$KB and b $32$W$.$ and $32$b address line.a$)$ What is the hit rate when using no$-$write allocate cache?b$)$ What is the size of the tag array?c$)$ How to improve hit rate without increasing cache size?