8. Design and implement C/C++ Program to find a subset of a given set S = {s1 , s2,…..,sn} of n positive integers whose sum is equal to a given positive integer d.
PROGRAM:
#include<stdio.h>
#define MAX 10
int s[MAX],x[MAX],d;
void sumofsub(int p,int k,int r)
{
int i;
x[k]=1;
if((p+s[k])==d)
{
for(i=1; i<=k; i++)
if(x[i]==1)
printf("%d ",s[i]);
printf("\n");
}
else if(p+s[k]+s[k+1]<=d)
sumofsub(p+s[k],k+1,r
-s[k]);
if((p+r
-s[k]>=d) && (p+s[k+1]<=d))
{
x[k]=0;
sumofsub(p,k+1,r
-s[k]);
}
}
int main()
{
int i,n,sum=0;
printf("\nEnter the n value:");
scanf("%d",&n);
printf("\nEnter the set in increasing order:");
for(i=1; i<=n; i++)
scanf("%d",&s[i]);
printf("\nEnter the max subset value:");
scanf("%d",&d);
for(i=1; i<=n; i++)
sum=sum+s[i];
if(sum<d || s[1]>d)
printf("\nNo subset possible");
else
sumofsub(0,1,sum);
return 0;
}
OUTPUT:
Enter the n value:9
Enter the set in increasing order:1 2 3 4 5 6 7 8 9
Enter the max subset value:9
1 2 6
1 3 5
1 8
2 3 4
2 7
3 6
4 5
9