// inputs
// s - set vector
// t - tuplet vector
// s_size - set size
// t_size - tuplet size so far
// sum - sum so far
// ite - nodes count
// target_sum - sum to be found
void subset_sum(int s[], int t[],
int s_size, int t_size,
int sum, int ite,
int const target_sum)
{
total_nodes++;
printf("%d\n", callno);
callno++;
if( target_sum == sum )
{
// We found subset
printSubset(t, t_size);
// Exclude previously added item and consider next candidate
subset_sum(s, t, s_size, t_size-1, sum - s[ite], ite + 1, target_sum);
return;
}
else
{
// generate nodes along the breadth
for( i = ite; i < s_size; i++ )
{
t[t_size] = s[i];
// consider next level node (along depth)
subset_sum(s, t, s_size, t_size + 1, sum + s[i], i + 1, target_sum);
}
}
}
// inputs
// s - set vector
// t - tuplet vector
// s_size - set size
// t_size - tuplet size so far
// sum - sum so far
// ite - nodes count
// target_sum - sum to be found
void subset_sum(int s[], int t[],
int s_size, int t_size,
unsigned long long sum, int ite,
int const target_sum)
{
total_nodes++;
if((sum>0)&&(sum%target_sum==0 ))
{
// We found subset
printSubset(t, t_size);
// Exclude previously added item and consider next candidate
// subset_sum(s, t, s_size, t_size-1, sum - s[ite], ite + 1, target_sum);
return;
}
else
{
int i;
// generate nodes along the breadth
for( i = ite; i < s_size; i++ )
{
t[t_size] = s[i];
// consider next level node (along depth)
subset_sum(s, t, s_size, t_size + 1, sum + s[i], i + 1, target_sum);
}
}
}
// Wrapper to print subsets that sum to target_sum
// input is weights vector and target_sum
void generateSubsets(int s[], int size, int target_sum)
{
int *tuplet_vector = (int *)malloc(size * sizeof(int));
subset_sum(s, tuplet_vector, size, 0, 0, 0, target_sum);
free(tuplet_vector);
}
