$(10$marks$)$Determine the running times predicted by the detailed model of thecomputer and the simplified model of the computer for each of the following programfragments:a$.$ for $($unsigned int i $=0$; i $<$ n; $++$i$)++$k;b$.$ for $($unsigned int i $=0$; i $<$ n; $++$i$)$if $($i $\%2==0)++$k;