For the input $30,20,56,75,31,19$ and hash function $h(K)=$Kmod$11$

a$.$ construct the open hash table with linear probing. Assume that the hash table size is $11.$

b$.$ Find the load factor after inserting all elements.

c$.$ find the largest number of key comparisons in a successful search in the table.

d$.$ find the average number of key comparisons in a successful search in this table.