Suppose that we are using hashing with open addressing, where the table size is $13$ and the $($linear$)$ probing sequence is defined by

h$\text{'}($k$)=$ k mod $13$

and

h$($k$,$ i$)=($h$\text{'}($k$)+$ i$)$ mode $13.$

The content of the hash table is given by:

T$[0]=10$

T$[1]=$ DELETED

T$[2]=9$

T$[3]=$ DELETED

T$[4]=$ DELETED

T$[5]=8$

T$[6]=7$

T$[7]=6$

T$[8]=5$

T$[9]=4$

T$[10]=3$

T$[11]=2$

T$[12]=1.$

When applying Hash$-$Insert$($T$,22),$ what is the $1$st$,2$nd$,3$rd cell being probed?

When applying Hash$-$Delete$($T$,9),$ what are the values of the $1$st$,2$nd$,3$rd cell being probed?

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