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sum of subset.c
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#include<stdio.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)));
}
int main(void)
{
int i,j,n,temp,total=0;
printf("\n Enter Numbet of elements in the set: ");
scanf("%d",&n);
for (i=0;i<n;i++)
{
printf("\n Enter number %d: ",i+1);
scanf("%d",&w[i]);
total+=w[i];
}
printf("\n Input the sum value to create sub set: ");
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 Elements in sorted order: ",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");
SumofSubSet(-1,0,total);
}
return 0;
}
void SumofSubSet(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("%d\t",w[j]);
printf("}\n");
}
else
{
inc[i+1]=TRUE;
SumofSubSet(i+1,wt+w[i+1],total-w[i+1]);
inc[i+1]=FALSE;
SumofSubSet(i+1,wt,total-w[i+1]);
}
}
}