Q$3)$ Consider the following nested loop:

for$($i $=1$; i n; i$++)$

j $=1$

while$($j n$)$

j$\}=\backslash$mathbf$\{$j$\}+1$

$($a$)$ How many times is $"j=j+10"$ executed? $($Do not ignore multiplicative constants, as

we are not talking about the O$-$notation yet$).$

$($b$)$ In the code shown above, answer $($a$),$ if we replace $"j=j+10",$ with $"j=j4".$

$($c$)$ Answer $($a$),$ if we make the following two changes to the code: We replace $"i++"$ with

$"i=2",$ as well as we replace $"j=j+10"$ with $"j=j^{*}4".$