# DSA using Java - Hash Table

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## Overview

HashTable is a datastructure in which insertion and search operations are very fast irrespective of size of the hashtable. It is nearly a constant or O(1). Hash Table uses array as a storage medium and uses hash technique to generate index where an element is to be inserted or to be located from.

## Hashing

Hashing is a technique to convert a range of key values into a range of indexes of an array. We're going to use modulo operator to get a range of key values. Consider an example of hashtable of size 20, and following items are to be stored. Item are in (key,value) format.

• (1,20)

• (2,70)

• (42,80)

• (4,25)

• (12,44)

• (14,32)

• (17,11)

• (13,78)

• (37,98)

Sr.No.KeyHashArray Index
111 % 20 = 11
222 % 20 = 22
34242 % 20 = 22
444 % 20 = 44
51212 % 20 = 1212
61414 % 20 = 1414
71717 % 20 = 1717
81313 % 20 = 1313
93737 % 20 = 1717

## Linear Probing

As we can see, it may happen that the hashing technique used create already used index of the array. In such case, we can search the next empty location in the array by looking into the next cell until we found an empty cell. This technique is called linear probing.

Sr.No.KeyHashArray IndexAfter Linear Probing, Array Index
111 % 20 = 111
222 % 20 = 222
34242 % 20 = 223
444 % 20 = 444
51212 % 20 = 121212
61414 % 20 = 141414
71717 % 20 = 171717
81313 % 20 = 131313
93737 % 20 = 171718

## Basic Operations

Following are basic primary operations of a hashtable which are following.

• Search − search an element in a hashtable.

• Insert − insert an element in a hashtable.

• delete − delete an element from a hashtable.

## DataItem

Define a data item having some data, and key based on which search is to be conducted in hashtable.

```public class DataItem {
private int key;
private int data;

public DataItem(int key, int data){
this.key = key;
this.data = data;
}

public int getKey(){
return key;
}

public int getData(){
return data;
}
}
```

## Hash Method

Define a hashing method to compute the hash code of the key of the data item.

```public int hashCode(int key){
return key % size;
}
```

## Search Operation

Whenever an element is to be searched. Compute the hash code of the key passed and locate the element using that hashcode as index in the array. Use linear probing to get element ahead if element not found at computed hash code.

```public DataItem search(int key){
//get the hash
int hashIndex = hashCode(key);
//move in array until an empty
while(hashArray[hashIndex] !=null){
if(hashArray[hashIndex].getKey() == key)
return hashArray[hashIndex];
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}
return null;
}
```

## Insert Operation

Whenever an element is to be inserted. Compute the hash code of the key passed and locate the index using that hashcode as index in the array. Use linear probing for empty location if an element is found at computed hash code.

```public void insert(DataItem item){
int key = item.getKey();

//get the hash
int hashIndex = hashCode(key);

//move in array until an empty or deleted cell
while(hashArray[hashIndex] !=null
&& hashArray[hashIndex].getKey() != -1){
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}

hashArray[hashIndex] = item;
}
```

## Delete Operation

Whenever an element is to be deleted. Compute the hash code of the key passed and locate the index using that hashcode as index in the array. Use linear probing to get element ahead if an element is not found at computed hash code. When found, store a dummy item there to keep performance of hashtable intact.

```public DataItem delete(DataItem item){
int key = item.getKey();

//get the hash
int hashIndex = hashCode(key);

//move in array until an empty
while(hashArray[hashIndex] !=null){
if(hashArray[hashIndex].getKey() == key){
DataItem temp = hashArray[hashIndex];
//assign a dummy item at deleted position
hashArray[hashIndex] = dummyItem;
return temp;
}
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}
return null;
}
```

## HashTable Implementation

DataItem.java

```package com.tutorialspoint.datastructure;

public class DataItem {
private int key;
private int data;

public DataItem(int key, int data){
this.key = key;
this.data = data;
}

public int getKey(){
return key;
}

public int getData(){
return data;
}
}
```

HashTable.java

```package com.tutorialspoint.datastructure;

public class HashTable {

private DataItem[] hashArray;
private int size;
private DataItem dummyItem;

public HashTable(int size){
this.size = size;
hashArray = new DataItem[size];
dummyItem = new DataItem(-1,-1);
}

public void display(){
for(int i=0; i<size; i++) {
if(hashArray[i] != null)
System.out.print(" ("
+hashArray[i].getKey()+","
+hashArray[i].getData() + ") ");
else
System.out.print(" ~~ ");
}
System.out.println("");
}

public int hashCode(int key){
return key % size;
}

public DataItem search(int key){
//get the hash
int hashIndex = hashCode(key);
//move in array until an empty
while(hashArray[hashIndex] !=null){
if(hashArray[hashIndex].getKey() == key)
return hashArray[hashIndex];
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}
return null;
}

public void insert(DataItem item){
int key = item.getKey();

//get the hash
int hashIndex = hashCode(key);

//move in array until an empty or deleted cell
while(hashArray[hashIndex] !=null
&& hashArray[hashIndex].getKey() != -1){
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}

hashArray[hashIndex] = item;
}

public DataItem delete(DataItem item){
int key = item.getKey();

//get the hash
int hashIndex = hashCode(key);

//move in array until an empty
while(hashArray[hashIndex] !=null){
if(hashArray[hashIndex].getKey() == key){
DataItem temp = hashArray[hashIndex];
//assign a dummy item at deleted position
hashArray[hashIndex] = dummyItem;
return temp;
}
//go to next cell
++hashIndex;
//wrap around the table
hashIndex %= size;
}
return null;
}
}
```

## Demo Program

HashTableDemo.java

```package com.tutorialspoint.datastructure;

public class HashTableDemo {
public static void main(String[] args){
HashTable hashTable = new HashTable(20);

hashTable.insert(new DataItem(1, 20));
hashTable.insert(new DataItem(2, 70));
hashTable.insert(new DataItem(42, 80));
hashTable.insert(new DataItem(4, 25));
hashTable.insert(new DataItem(12, 44));
hashTable.insert(new DataItem(14, 32));
hashTable.insert(new DataItem(17, 11));
hashTable.insert(new DataItem(13, 78));
hashTable.insert(new DataItem(37, 97));

hashTable.display();

DataItem item = hashTable.search(37);

if(item != null){
System.out.println("Element found: "+ item.getData());
}else{
}

hashTable.delete(item);

item = hashTable.search(37);

if(item != null){
System.out.println("Element found: "+ item.getData());
}else{
``` ~~  (1,20)  (2,70)  (42,80)  (4,25)  ~~  ~~  ~~  ~~  ~~  ~~  ~~ (12,44)  (13,78)  (14,32)  ~~  ~~  (17,11)  (37,97)  ~~