$1.(10$ pts$)$ Consider the following pseudocode.

function f$($n$)$

$1$: k $=0$

$2$: for i from $1$ to n

$3$: j $=1$

$4$: while j $<=$ n

$5$: k $=2*$k $+1$

$6$: j $=2*$j

$7$: return k

$($a$)$ Calculate the total number of basic operations executed on from Line $2$ to Line $6.$ Justify

your answers. $(5$ pts$)$

Line $1\_\_\_\_\_\_\_\_\_\_1\_\_\_\_\_\_\_\_\_\_\_$Justification$\_\_\_\_1$ assignment $($saving$)\_\_\_\_$

Line $2$ to $6\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Justification $($calculation$)$