$.$ The following code is written in C$,$ where elements of an array are allocated contiguously. Arrays a has $1024$x$1024$ elements. Arrays b and c have $1024$ elements respectively. Assume each element of arrays is a $4-$byte $(32-$bit$)$ integer. The data type of all variables is a $4-$byte integer also. Cache blocks are allocated on write miss, and the size of a cache line is $64$ bytes. Assume that cache size is infinite $($what$?).($Hint: in this code, there are $6$ variables: a$,$ b$,$ c$,$ i$,$ j$,$ and sum$)[12$ pts total$]$ int sum; for $($int i $=0$; i $<1024$; i$++)\{$ sum $=0$; for $($int j $=0$; j $<1024$; j$++)$ sum $+=$ a$[$j$+$i$*1024]+$ b$[$j$]$; c$[$i$]=$ sum; $\}($a$)$ Which variable references exhibit temporal locality? $[3$ pts$]($b$)$ Which variable references exhibit spatial locality? $[3$ pts$]($c$)$ Let$$s focus on the data transfers for arrays a$,$ b$,$ and c$.$ How many lw and sw instructions are issued while executing this code? $[3$ pts$]$ Array a: Array b: Array c: