Wednesday 22 November 2017

C++ Program to Search Sorted Sequence Using Divide and Conquer with the Aid of Fibonacci Numbers


Code:

#include   iostream

using namespace std;

void FibonacciSearch(int *a, int start, int end, int *fab, int index, int item)
{
int i, mid;

// Assigning middle of the array using Fibonacci element.
mid = start+fab[index-2];

// Return if item found at mid index.
if(item == a[mid])
{
cout<<"\n item found at "<
return;
}
// Return if item found at start index.
else if(item == a[start])
{
cout<<"\n item found at "<
return;
}
// Return if item found at end index.
else if(item == a[end])
{
cout<<"\n item found at "<
return;
}
// If mid becomes start or end of the sub-array then element not found.
else if(mid == start || mid == end)
{
cout<<"\nElement not found";
return;
}
// According to the item value choose the partion to proceed further.
else if(item > a[mid])
FibonacciSearch(a, mid, end, fab, index-1, item);
else
FibonacciSearch(a, start, mid, fab, index-2, item);
}

main()
{
int n, i, biter, fab[20], a[20]={1, 9, 18, 24, 27, 35, 38, 41, 49, 53, 55, 66, 67, 72, 75, 77, 81, 89, 90, 97};
char ch;

fab[0] = 0;
fab[1] = 1;
i = 1;
while(fab[i] < 20)
{
i++;
fab[i] = fab[i-1]+fab[i-2];
}

up:
cout<<"\nEnter the Element to be searched: ";
cin>>n;

// Implement Fibonacci search.
FibonacciSearch(a, 0, 19, fab, i, n);

// Ask user to enter choice for further searching.
cout<<"\n\n\tDo you want to search more...enter choice(y/n)?";
cin>>ch;
if(ch == 'y' || ch == 'Y')
goto up;

return 0;
}


Output:

Case 1:
Enter the Element to be searched: 38

Item found at 6 index.

        Do you want to search more...enter choice(y/n)?y

Enter the Element to be searched: 66

Item found at 11 index.

        Do you want to search more...enter choice(y/n)?y

Enter the Element to be searched: 89

Item found at 17 index.

        Do you want to search more...enter choice(y/n)?y

Enter the Element to be searched: 1

Item found at 0 index.

        Do you want to search more...enter choice(y/n)?y

Enter the Element to be searched: 97

Item found at 19 index.

        Do you want to search more...enter choice(y/n)?n



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