Wednesday 22 November 2017

C++ Program to Generate All Subsets of a Given Set in the Lexico Graphic Order


Code:

#include   iostream

using namespace std;

// A function to sort the data set.
void Sort(int a[], int n)
{
int i, j, temp;

for(i = 0; i < n; i++)
{
for(j = i+1; j < n; j++)
{
if(a[i] > a[j])
{
temp = a[i];
a[i] = a[j];
a[j] = temp;
}
}
}
}

// A function to print all combination of a given length from the given array.
void GenSubset(int a[], int reqLen, int start, int currLen, bool check[], int len) 
{
// Return if the currLen is more than the required length.
if(currLen > reqLen)
return;
// If currLen is equal to required length then print the sequence.
else if (currLen == reqLen) 
{
cout<<"\t";
cout<<"{ ";
for (int i = 0; i < len; i++) 
{
if (check[i] == true) 
{
cout<
}
}
cout<<"}\n";
return;
}
// If start equals to len then return since no further element left.
if (start == len) 
{
return;
}
// For every index we have two options.
// First is, we select it, means put true in check[] and increment currLen and start.
check[start] = true;
GenSubset(a, reqLen, start + 1, currLen + 1, check, len);
// Second is, we don't select it, means put false in check[] and only start incremented.
check[start] = false;
GenSubset(a, reqLen, start + 1, currLen, check, len);
}
}

int main()
{
int i, n;
bool check[n];
cout<<"Enter the number of element array have: ";
cin>>n;

int arr[n];
cout<<"\n";

// Take the input of the array.
for(i = 0; i < n; i++)
{
cout<<"Enter "<
cin>>arr[i];
check[i] = false;
}

// Sort the array.
Sort(arr, n);

cout<<"\nThe subset in the lexicographic order: \n";
cout<<"\t{ }\n";
for(i = 1; i <= n; i++)
{
GenSubset(arr, i, 0, 0, check, n);
}
return 0;
}



Output:

Case 1:
Enter the number of element array have: 5

Enter 1 element: 6
Enter 2 element: 8
Enter 3 element: 3
Enter 4 element: 4
Enter 5 element: 9

The subset in the lexicographic order:
        { }
        { 3 }
        { 4 }
        { 6 }
        { 8 }
        { 9 }
        { 3 4 }
        { 3 6 }
        { 3 8 }
        { 3 9 }
        { 4 6 }
        { 4 8 }
        { 4 9 }
        { 6 8 }
        { 6 9 }
        { 8 9 }
        { 3 4 6 }
        { 3 4 8 }
        { 3 4 9 }
        { 3 6 8 }
        { 3 6 9 }
        { 3 8 9 }
        { 4 6 8 }
        { 4 6 9 }
        { 4 8 9 }
        { 6 8 9 }
        { 3 4 6 8 }
        { 3 4 6 9 }
        { 3 4 8 9 }
        { 3 6 8 9 }
        { 4 6 8 9 }
        { 3 4 6 8 9 }



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