$1.(5$ points$)$ Consider the code below and answer the following questions.

a$.$ What is the total number of writes?

b$.$ What is the total number of writes that miss in the cache?

c$.$ What is the miss rate?

$1$ struct point$\_$color $\{$

$2$ int c;

$3$ int m;

$4$ int y;

$5$ int k;

$6\}$

$7$

$8$ struct point$\_$color square$[16][16]$;

$9$ int i$,$ j;

$10$ for $($i $=0$; i $<16$; i$++)\{$

$11$ for $($j $=0$; j $<16$; j$++)\{$

$12$ square$[$i$][$j$].$y $=1$;

$13\}$

$14\}$

$15$ for $($i $=0$; i $<16$; i$++)\{$

$16$ for $($j $=0$; j $<16$; j$++)\{$

$17$ square$[$i$][$j$].$c $=0$;

$18$ square$[$i$][$j$].$m $=0$;

$19$ square$[$i$][$j$].$k $=0$;

$20\}$

$21\}$

Assume the following:

$$ The system has a $2,048-$byte direct$-$mapped data cache with $32-$byte blocks

$$ sizeof$($int$)=4$

$$ square begins at memory address $0$

$$ The cache is initially empty

$$ The only memory accesses are to the entries of the array square

$$ Variables i and j are stored in registers