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C++ Program to print all possible subset of a set

In this example, we will see a C++ program through which we can print all the possible subset of a given set.

The total number of possible subsets a given set can have is 2^n.

where n is the number of elements present in that given set.

Program:


#include <bits/stdc++.h>
using namespace std;
void allPossibleSubset(int arr[],int n)
{
int  count = pow(2,n);
// The outer for loop will run 2^n times to print all subset .
// Here variable i will act as a binary counter
for (int i = 0; i < count; i++)
{
// The inner for loop will run n times , As the maximum number of elements a set can have is n
// This loop will generate a subset
for (int j = 0; j < n; j++)
{
// This if condition will check if jth bit in binary representation of  i  is set or not
// if the value of (i & (1 << j)) is greater than 0 , include arr[j] in the current subset
// otherwise exclude arr[j]
if ((i & (1 << j)) > 0)
cout << arr[j] << " ";
}
cout << "\n";
}
}
int main()
{
int n;
cout << "Enter size of the set\n";
cin >> n;
int arr[n];
cout << "Enter Elements of the set\n";
for(int i=0;i<n;i++)
cin >> arr[i];
allPossibleSubset(arr,n);
return 0;
}

Output:

Enter size of the set
5
Enter Elements of the set
1
2
3
4
5

1 
2 
1 2 
3 
1 3 
2 3 
1 2 3 
4 
1 4 
2 4 
1 2 4 
3 4 
1 3 4 
2 3 4 
1 2 3 4 
5 
1 5 
2 5 
1 2 5 
3 5 
1 3 5 
2 3 5 
1 2 3 5 
4 5 
1 4 5 
2 4 5 
1 2 4 5 
3 4 5 
1 3 4 5 
2 3 4 5 
1 2 3 4 5

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