Question $2(25$ pts$)$:

Figure $2$ A B$-$Tree of order $5$

By using the B$-$tree in Figure $2$;

$($a$)$ Redraw the tree after inserting $55.$

$($b$)$ Redraw the tree after inserting $28$ to the tree in $($a$).$

$($c$)$ Redraw the tree after inserting $42$ to the tree in $($b$).$

$($d$)$ Redraw the tree after inserting $100$ to the tree in $($c$).$