$4.$ Let us consider an empty hash table with $10$ positions indexed from $0$ to $9.$ Please illustratethe content of the hash table after inserting the elements $69,18,49,89,93,0,$ and $60.$

$(1)$ Linear probing $(20$ points$)$

$(2)$ Quadratic probing $(25$ points$)$

$(3)$ Double hashing withh$($k$,$ i$)=($h$($k$)+$i$*$h$($k$))\%10,$ h$($k$)=$ k$\%10,$ and h$($k$)=7-$k$\%7(25$ points$)$