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Implement an open addressing hash table to store a list of integers. Your task is to handle collisions using open addressing and implement basic operations such as insertion, deletion, and searching. The open addressing technique you will use is linear probing.
- Assume an open addressing hash table implementation, where the size of the array is N = 19, and that double hashing is performed for collision handling. The second hash function is defined as: d(k) = q -k mod q, where k is the key being inserted in the table and the prime number q is = 7. Use simple modular operation (k mod N) for the first hash function. i) Show the content of the table after performing the following operations, in order:put(45), put(25), put(12), put(61), put(38), put(88), remove(12), put(39), remove(61), put(18), put(29), put(29), put(35).i) What is the size of the longest cluster caused by the above insertions? ii) What is the number of occurred collisions as a result of the above operations? iii) What is the current value of the table’s load factor?1) Suppose hashing is being done by using open addressing with linear probing. The hash function tobe used for an element with key k is h(k) = k mod 11. Show the contents of the hash table afterinserting the following keys in order into the hash table:27 40 22 15 31 18 36 19 20Please convert to C language //linear probing#include <bits/stdc++.h>using namespace std; void add_using_linear_probing(int hash[], int a){ //hash function h(x)=x%10 int k = a % 10; //linear probing while (true) { if (hash[k] == -1) { hash[k] = a; break; } k = (k + 1) % 10; //linear increment of probe }} int main(){ //set of input numbers vector<int> arr{ 123, 124, 333, 4679, 983 }; //initialize the hash table //each entry of the hash table is a single entry int hash[10]; //size of hashtable is 10 memset(hash, -1, sizeof(hash)); //initialize with empty initially for (int a : arr) { //hashing add_using_linear_probing(hash, a); } cout << "---------using linear probing---------\n"; cout << "Hash table is:\n"; for (int i = 0; i < 10; i++) { if (hash[i] == -1) cout << i << "->" << "Empty" <<…
- Hash table is a data structure in which keys are mapped to array positions by a hash function. Theprocess of mapping the keys to appropriate locations in a hash table is called hashing. Hash functions areused to reduce the number of collisions.i. Mention the methods to minimize collision.ii. Explain the advantage of using double hashing over linear and quadratic probing techniques.iii. Load the keys given below in a hash table of size 7 in the same order using chaining with thehash function h(key)= key % 7. Show graphically how collisions are resolved using chainingin this particular case.12, 101, 3, 21, 14, 13, 16, 7, 1413) L is a data element linear list. Implement the list as follows: I a linear open addressed hash table with your preferred hash function; and ii) a sorted list.Using a) hashing and b) searching, find a list of keys on the representations I and ii). b) binary search, and so on. Compare the performance of the two methods across the entire list L.In §12.2 Lamport's Hash we mentioned the notion of using only 64 bits of the hash. At each stage, 128 bits are computed, 64 bits are thrown away, and the hash of the retained 64 bits is used in the next stage. The purpose of only using 64 bits is so that a human does not need to type as long a string. Assuming the person will still only type 64 bits, does it work if hashn does a hash of all 128 bits of hashn-1, but what the person actually transmits is 64 bits of the result?
- Select true or false for the statements below. Explain your answers if you like to receive partial credit 10) Which of the following is true about the linked list functions where the linked list onlycontains a head pointer?a. If the linked list is ordered, you can use binary search and improve theperformance to O(log n)b. The worst case performance of the delete function is in the same Big-Ocategory as the worst case performance of the delete function with anunordered arrayc. If the node you are deleting is at the end of the list, the performance is O(1)use python code. Below is the code for parallel list implementation of dictionary ADT. Modify the code below tohandle collision using double hashing technique. Use the following hash functions:h(k) = k mod n, where is the number of slots in the hash tableh’(k) = 7 - (k mod 7)and handles collisions by placing an item in the first available cell of the seriesA[(i + f(j)) mod N] for j = 1, 2, 3, ..., where f(j) = j*h’(k). import osclass Dictionary:def __init__(self, size):self.keys = [None] * sizeself.values = [None] * sizeself.n = 0self.size = sizedef __str__(self):keys_str = "{"if not self.empty():for i in range(0, self.size - 1):keys_str += "({},{}),".format(self.keys[i], self.values[i])keys_str += "({},{})".format(self.keys[self.size - 1], self.values[self.size - 1])return keys_str + "}"def empty(self):return self.n == 0def dictionary_size(self):return self.ndef hash(self, key):return key % self.size def insert_item(self, key, item):if self.n == self.size:print("Dictionary…Two elements with identical keys should have the same hash code. Group of answer choices True False Using an unsorted array to implement a map would allow an O(log2N) get operation (where N is the number of elements in the map). Group of answer choices True False A typical hash function often consists of the following three steps: Group of answer choices hashing, compressing, and indexing. multiplication, addition, and modularization. selecting, digitizing, and combining. modularization, probing, and indexing. compressing, hashing, and probing. Clustering is a side effect of linear probing. Group of answer choices True False
- implement an open addressing hash table to store a list of integers your task js to handle collisions using open addressing and implement basic operations such as insertion, deletion,and searching. The open addressing technique you will use is linear probingPlease convert to C language //quadratic probing#include <bits/stdc++.h>using namespace std; void add_using_quadratic_probing(int hash[], int a){ //hash function h(x)=x%10 int k = a % 10; //quadratic probing int incr = 1; while (true) { if (hash[k] == -1) { hash[k] = a; break; } //quadratic increment of probe k = (k + int(pow(incr, 2))) % 10; incr++; }} int main(){ //set of input numbers vector<int> arr{ 123, 124, 333, 4679, 983 }; //initialize the hash table //each entry of the hash table is a single entry int hash[10]; //size of hashtable is 10 memset(hash, -1, sizeof(hash)); //initialize with empty initially for (int a : arr) { //hashing add_using_quadratic_probing(hash, a); } cout << "---------using quadratic probing---------\n"; cout << "Hash table is:\n"; for (int i = 0; i < 10; i++) { if (hash[i] == -1) cout…Q: Hash table is a data structure in which keys are mapped to array positions by a hash function. Theprocess of mapping the keys to appropriate locations in a hash table is called hashing. Hash functions areused to reduce the number of collisions.i. Mention the methods to minimize collision.ii. Explain the advantage of using double hashing over linear and quadratic probing techniques.iii. Load the keys given below in a hash table of size 7 in the same order using chaining with thehash function h(key)= key % 7. Show graphically how collisions are resolved using chainingin this particular case.12, 101, 3, 21, 14, 13, 16, 7, 141