Empty$-$since$-$start

$3$

Empty$-$after$-$removal

Occupied

$4$

Hash table valsTable uses quadratic probing, a hash function of key $\backslash (\backslash \%10\backslash ),$ c$1=1,$ and c$2=1.$

$6$

HashInsert$($valsTable$,$ item $84)$ inserts item $84$ into bucket

$77$

HashInsert$($valsTable$,$ item $47)$ inserts item $47$ into bucket

$8$

$9$

HashInsert$($valsTable$,$ item $65)$ inserts item $65$ into bucket