Questions:

Given input $4371,1323,6173,4199,4344,9679,1989$ and a hashing function $h(x)=(xmod10),$ do the following: $(40$ pts$)$

a$)$ Draw the separate chaining hash table $(10$ pts$).$

b$)$ Draw the hash table using linear probing $(10$ pts$).$

c$)$ Draw the hash table using quadratic probing. If a number cannot be inserted, please explain it$.(10$ pts$).$

d$)$ Draw the hash table using double hashing with the second hash function $h_2(x)=7-(xmod7).$ If a number cannot be inserted, please explain it$.(10$ pts$)$