C$)(6$ pts$)$ For the given code snippets, predict the cache hit rate. The cache is $8KB,$ direct mapped,

and has $128-$byte cache lines. There are two implementations for the for loops $($v$1$ and v$2)$ which

are executed separately in isolation. Assume that the:

a$.$ long variables total sum and array arr are doublewords

b$.$ the cache is empty before the loops start executing.

c$.$ If you need any other assumptions to solve this question, state them in your answer.

$//$ Version v$1//$ Version v$2$

for$($int $i=0$;$i<mn\; id="EditorElement\_301415">2</mn><mn\; id="EditorElement\_301416">5</mn><mn\; id="EditorElement\_301417">6</mn>$;$i++$ for$($int $i=0$;$i<mn\; id="EditorElement\_301363">2</mn><mn\; id="EditorElement\_301364">5</mn><mn\; id="EditorElement\_301365">6</mn>$;$i++$

for $($int $j=0$;$j<mn\; id="EditorElement\_301310">2</mn><mn\; id="EditorElement\_301311">5</mn><mn\; id="EditorElement\_301312">6</mn>$;$j++)$ for $($int $j=0$;$j<mn\; id="EditorElement\_301254">2</mn><mn\; id="EditorElement\_301255">5</mn><mn\; id="EditorElement\_301256">6</mn>$;$j++)\{$

total sum $+=$arr$[i][j]$;$,$ total sum $+=$arr$[j][i]$;

$\}$

$\}$

$\}$

What is the cache hit rate in Version v$1?(3$ pts$)$

What is the cache hit rate in Version v$2?(3$ pts$)$