Exercise 3. (25%) a) (15%) An example of the linear hash index is given below. Every time a new overflow page is added, the bucket pointed by Next is split, and Next is incremented by one. Show the index state after adding the keys 39, 25, and 29. h₁ ho Level=0, N=4 000 00 0*8* 001 01 17*33* 010 10 6*26* 42* 011 11 7* 11* 15* 23* 100 00 4* 12* 20* 101 01 5* 13* 21* 37* Next b) (5%) Assume that the above data was entered into an extendable hashing index. What would be the size of the directory? c) (5%) Describe the bulk loading algorithm for B+ trees. What are the differences to using a simple B+ tree add operation?

Hash Function

Class HashTable: Implement a hash table to store integers (including negative ones).  stored in the table int[] data. Use the hash function:  h(x) = (x · 701) mod 2000.  The table size is 2000. Ensure non-negative indices between 0 and 1999. Implement the following methods: insert(int key): Inserts the integer into the table. Returns true if successful, false if the element is already in the table. search(int key): Searches for the integer in the table. Returns true if found, false otherwise. delete(int key): Deletes the integer from the table. Returns true if successful, false otherwise. Class HashTable2: Implement a second hash table using a different hash function and collision resolution strategy. Keys are integers (including negative ones). Use the hash function: ℎ(�)=(�⋅53)mod  100h(x)=(x⋅53)mod100. The table size is 100. Ensure non-negative indices between 0 and 99. Implement the following methods: insert(int key): Inserts the integer into the table. Returns true if…

The hash table array has capacity of 10. Capacity is the number of slots present in the array that is used to build the hashtable. The hash function returns the absolute value of the key mod the capacity of the hash table. a) Insert these keys in the hash table: 3,23,11,21,1,7,77,8 where the hash table uses quadratic probing to resolve collisions. b) Search and Delete 3 and 11 from the table. Be careful about changing the status of the table slot to “deleted” after deleting each item. c)Search 23 and 21 from the table and print their position.