C Program to find the subsets in the set. We use the backtracking method to solve this problem. Backtracking is the refinement method of Brute-Force method. Backtrack method means it finds the number of sub solutions and each may have number of sub divisions, and solution chosen for exactly one. Backtracking method is a recursive method. Read more about C Programming Language .

/***********************************************************

* You can use all the programs on www.c-program-example.com

* for personal and learning purposes. For permissions to use the

* programs for commercial purposes,

* contact info@c-program-example.com

* To find more C programs, do visit www.c-program-example.com

* and browse!

*

* Happy Coding

***********************************************************/

#include<stdio.h>

#include<conio.h>

#define TRUE 1

#define FALSE 0

int inc[50],w[50],sum,n;

int promising(int i,int wt,int total)

{

return(((wt+total)>=sum)&&((wt==sum)||(wt+w[i+1]<=sum)));

}

/*

* You can find this program on GitHub

* https://github.com/snadahalli/cprograms/blob/master/subsets.c

*/

void main()

{

int i,j,n,temp,total=0;

clrscr();

printf("n Enter how many numbers:n");

scanf("%d",&n);

printf("n Enter %d numbers to th set:n",n);

for(i=0;i<n;i++)

{

scanf("%d",&w[i]);

total+=w[i];

}

printf("n Input the sum value to create sub set:n");

scanf("%d",&sum);

for(i=0;i<=n;i++)

for(j=0;j<n-1;j++)

if(w[j]>w[j+1])

{

temp=w[j];

w[j]=w[j+1];

w[j+1]=temp;

}

printf("n The given %d numbers in ascending order:n",n);

for(i=0;i<n;i++)

printf("%d t",w[i]);

if((total<sum))

printf("n Subset construction is not possible");

else

{

for(i=0;i<n;i++)

inc[i]=0;

printf("n The solution using backtracking is:n");

sumset(-1,0,total);

}

getch();

}

void sumset(int i,int wt,int total)

{

int j;

if(promising(i,wt,total))

{

if(wt==sum)

{

printf("n{t");

for(j=0;j<=i;j++)

if(inc[j])

printf("%dt",w[j]);

printf("}n");

}

else

{

inc[i+1]=TRUE;

sumset(i+1,wt+w[i+1],total-w[i+1]);

inc[i+1]=FALSE;

sumset(i+1,wt,total-w[i+1]);

}

}

}

Read more Similar C Programs

Learn C Programming

Number System

You can easily select the code by double clicking on the code area above.

To get regular updates on new C programs, you can Follow @c_program

You can discuss these programs on our Facebook Page. Start a discussion right now,

our page!

Share this program with your Facebook friends now! by liking it

(you can send this program to your friend using this button)

Like to get updates right inside your feed reader? Grab our feed!

(c) www.c-program-example.com

## 2 comments on “C program to create a subsets using backtracking method.”

awesome………. i have literally gone through the entire web… and finally i got it here

Hello Priyanka,

I'm glad this post was helpful to you.

Like our facebook page https://www.facebook.com/cprogramexample for more updates and discussions. Share links with friends.