How many different insertion sequences of the key values using the same hash function and linear probing will result in the hash table shown above?a.30b.10c.20d.40

A hash table contains 10 buckets and uses linear probing to resolve collisions. The key values are integers and the hash function used is key % 10. If the values 43, 165, 62, 123, 142 are inserted in the table, in what location would the key value 142 be inserted?

Consider a 13 element hash table for which f(key)=key mod 13 is used with integer keys. Assuming linear probing is used for collision resolution, at which location would the key 103 be inserted, if the keys 661, 182, 24 and 103 are inserted in that order?Select one:a. 1b. 12c. 11d. 0

Suppose a hash table of size 10 uses linear probing for collision resolution and key%10 as hash function. If the key values that are hashed are as follows: {23, 55, 42, 3, 12} , what is the location of 12? a.2b.3c.4d.5e.None of These

Sindhu is working on implementing a hash table with linear probing to efficiently store a set of unique integer keys. She is seeking your help to develop a program that accomplishes this.Your task is to write a program that takes a series of integers as input, hashes them into a hash table, resolves any collisions using linear probing, and then displays the keys and their corresponding indices in ascending order of their original insertion.ExampleInput 5514 16 17 26 10Output index: 0, value: 10index: 1, value: 16index: 2, value: 17index: 3, value: 26index: 4, value: 14ExplanationThe keys are inserted into the hash table division method using linear probing to resolve any collisions.Key 14 is inserted at index 4.Key 16 is inserted at index 1.Key 17 is inserted at index 2.Key 26 initially collides with index 1 but is inserted at the next available slot, which is index 3, using linear probing.Key 10 is inserted at index 0.The keys and their respective indices are sorted in ascending order of their original insertion.Input format :The first line of input consists of an integer size, which represents the size of the hash table.The second line of input consists of an integer n, which represents the number of keys to be inserted.The third line of input consists of n integers separated by a space, representing the keys to be inserted.Output format :For each key, the output displays a line with the following format: "index: [index], value: [value]".where [index] is the index in the hash table in ascending order, where the key is stored after resolving collisions, and [value] is the corresponding key value.Refer to the sample output for the formatting specifications.Code constraints :The test cases will fall under the following constraints:1 ≤ size ≤ 101 ≤ n ≤ 101 ≤ keys ≤ 100Sample test cases :Input 1 :5514 16 17 26 10Output 1 :index: 0, value: 10index: 1, value: 16index: 2, value: 17index: 3, value: 26index: 4, value: 14Input 2 :10510 43 68 90 13Output 2 :index: 0, value: 10index: 1, value: 90index: 3, value: 43index: 4, value: 13index: 8, value: 68

Hash Table Operations:Consider a hash table with 7 slots that uses chaining to resolve collisions. The hash function is h(x) = x mod 7. Show the structure of the hash table after inserting the following sequence of integers: {15, 22, 36, 7, 10, 42, 29}. Demonstrate the process of searching for the number 22 in the hash table.