A CPU has a $64$KB mapped cache with $128-$byte block size. Suppose A is a two

dimensional array of size $512\backslash$times $512$ with elements that occupy $8-$bytes each. Consider the following

two code segments, P$1$ and P$2.$ P$1$ and P$2$ are executed independently with the same initial state,

namely, the array A is not in the cache and i$,$j$,$x are in registers. Let the number of cache misses

by P$1$ be M$1$ and the number of cache misses by P$2$ be M$2.$

P$1$

for $($i $=0$; i $<512$; i$++)\{$

for $($j $=0$; j $<512$; j$++)\{$

x $+=$ A$[$i$][$j$]$

$\}$

$\}$

P$2$

for $($i $=0$; i $<512$; i$++)\{$

for $($j $=0$; j $<512$; j$++)\{$

x $+=$ A$[$j$][$i$]$

$\}$

$2$

$\}$

Calculate the value of M$1/$M$2$

$.$