Saturday, 18 November 2017

C++ Program to Implement Bucket Sort


Code:

#include   iostream

using namespace std;

// A structure to represent a node.
struct Node
{
int value;
struct Node* next;
};

// A structure to represent a Head Bucket Node of the bucket list.
struct Bucket
{
// Pointer to head node of Bucket.
struct Node *head;  
};

struct BucketList
{
int V;
struct Bucket * array;
};


// A utility function to create a new node for a particular entry in a bucket.
struct Node* newNode(int value)
{
struct Node* newnode = new Node;
newnode->value = value;
newnode->next = NULL;
return newnode;
}

// A utility function that creates a list of the bucket over the range of input data.
struct BucketList* createBucket(int V)
{
int i;
struct BucketList* bl = new BucketList;

bl->V = V;
bl->array = new Bucket[V];   


// Initialize each Bucket list as empty by making head as NULL.
for(i = 0; i < V; i++)
bl->array[i].head = NULL;

return bl;
}

// A function to Insert the nodes to corresponding Buckets.
void addNode(struct BucketList* bl, int bckt, int value)
{
// Creating new data node.
struct Node *newnode = newNode(value);
struct Node *temp = new Node;

if(bl->array[bckt].head != NULL)
{
temp = bl->array[bckt].head;

// Sorting.
// If the head node value is lesser than the newnode value, then add node at beginning.
if(temp->value > newnode->value)
{
newnode->next = bl->array[bckt].head;
bl->array[bckt].head = newnode;
}
else
{
// Search for the node whose value is more than the newnode value.
while(temp->next != NULL)
{
if((temp->next)->value > newnode->value)
break;

temp = temp->next;
}

// Insert newnode after temp node.
newnode->next = temp->next;
temp->next = newnode;
}
}
else
{
// Assign head of the Bucket as newnode since bucket head is NULL.
bl->array[bckt].head = newnode;
}
}

// A function to print the result as sorted Data.
void printBuckets(struct BucketList *bl)
{
int v;
struct Node* pCrawl = new Node;

for(v = 0; v < bl->V; v++)
{
// To view the data in individual bucket remove next line from comment.
// cout<<"\n\t bucket "<

pCrawl = bl->array[v].head;
while (pCrawl != NULL)
{
cout<<"->"<< pCrawl->value;
pCrawl = pCrawl->next;
}
}
}


int main()
{
// Create the BucketLists for the data and set 10 as default number of Buckets.
int V = 10, range, NOE, i;
struct BucketList* mybucket = createBucket(V);


cout<<"\n\nEnter the upper limit in the power of 10 (10 or 100 or 1000 ..) to create Bucket: ";
cin>>range;

// Dividing range into 10 parts so it will have 10 buckets as default.
range = range/10;

cout<<"\nEnter the number of data element to be sorted: ";
cin>>NOE;
int arr[NOE];

for(i = 0; i < NOE; i++)
{
cout<<"Enter element "<
cin>>arr[i];
addNode(mybucket, arr[i]/range, arr[i]);
}

// Print the adjacency list representation of the BucketList i.e the sorted Output.
cout<<"\nSorted Data ";
printBuckets(mybucket);

return 0;
}


Output:

Case 1:(average case)

Enter the upper limit in the power of 10 (10 or 100 or 1000 ..) to create Bucket: 100

Enter the number of data element to be sorted: 5
Enter element 1: 1
Enter element 2: 99
Enter element 3: 83
Enter element 4: 94
Enter element 5: 33

Sorted Data ->1->33->83->94->99


Case 2:(best case)

Enter the upper limit in the power of 10 (10 or 100 or 1000 ..) to create Bucket: 1000

Enter the number of data element to be sorted: 5
Enter element 1: 1
Enter element 2: 444
Enter element 3: 631
Enter element 4: 483
Enter element 5: 989

Sorted Data ->1->444->483->631->989


case 3: (worst case)

Enter the upper limit in the power of 10 (10 or 100 or 1000 ..) to create Bucket: 100

Enter the number of data element to be sorted: 5
Enter element 1: 99
Enter element 2: 85
Enter element 3: 43
Enter element 4: 21
Enter element 5: 11

Sorted Data ->11->21->43->85->99



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