P$6(15$ pts$)$ Use the B$-$tree shown below to answer the following questions:

Fig. $1$: B$-$tree

$($To prepare your answer, please modify the B$-$tree in the attached PPT file: Fig$1-$Btree.pptx$\text{'})$

i$)(3$ pts$)$ Show the result of inserting a key $\text{'}72\text{'}$ into the B$-$tree in Figure $1.$

ii$)(3$ pts$)$ Show the result of inserting a key $\text{'}15\text{'}$ into the B$-$tree in Figure $1.$

iii$)(3$ pts$)$ Show the result of deleting $\text{'}73\text{'}$ from the B$-$tree in Figure $1.$

iv$)(3$ pts$)$ Show the result of deleting $\text{'}79\text{'}$ from the B$-$tree in Figure $1.$

v$)(3$ pts$)$ Show the result of deleting $\text{'}93\text{'}$ from the B$-$tree in Figure $1$