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C++ Program to Implement the Binary Counting Method to Generate Subsets of a Set
This is a C++ program to implement the Binary Counting Method to generate subsets of a set.
Algorithms
Begin Take the array elements as input. function BinaryCounting(): Calculate subset by r = pow(2, n) // here n = number of elements. Generate binary numbers from 0 to r-1. Call solution() for each binary string of n character. End
Example
#include<iostream>
#include<math.h>
using namespace std;
void solution(char code[], int a[], int n) //print the solution
{
int i;
cout<<"\t { ";
for(i = 0; i < n; i++) {
if(code[i] == '1')
cout<<a[i]<<" ";
}
cout<<"}\n";
}
int BinaryCounting(int a[], int n) {
int r, i, l;
char bin[] = "00000";
r = pow(2, n);
//Generate binary numbers from 0 to r-1.
for(i = 0; i < r; i++) {
solution(bin, a, n);
l=n-1;
h:
if(bin[l] == '0')
bin[l] = '1';
else {
bin[l] = '0';
l--;
goto h;
}
}
}
int main() {
int i, n;
cout<<"\nEnter the number of elements: ";
cin>>n;
int a[n];
cout<<"\n";
for(i = 0; i < n; i++) {
cout<<"Enter "<<i+1<<" element: ";
cin>>a[i];
}
cout<<"\nThe subset in the binary counting method: \n";
BinaryCounting(a, n);
return 0;
}Output
Enter the number of elements: 4
Enter 1 element: 4
Enter 2 element: 3
Enter 3 element: 2
Enter 4 element: 1
The subset in the binary counting method:
{ }
{ 1 }
{ 2 }
{ 2 1 }
{ 3 }
{ 3 1 }
{ 3 2 }
{ 3 2 1 }
{ 4 }
{ 4 1 }
{ 4 2 }
{ 4 2 1 }
{ 4 3 }
{ 4 3 1 }
{ 4 3 2 }
{ 4 3 2 1 }
Updated on: 30-Jul-2019
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