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62 changes: 62 additions & 0 deletions Algorithm/SubsetSum.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,62 @@
#include <stdio.h>
#include <stdlib.h>

#define ARRAYSIZE(a) (sizeof(a))/(sizeof(a[0]))

static int total_nodes;

void printSubset(int A[], int size)
{
for(int i = 0; i < size; i++)
{
printf("%*d", 5, A[i]);
}

printf("n");
}

void subset_sum(int s[], int t[],
int s_size, int t_size,
int sum, int ite,
int const target_sum)
{
total_nodes++;
if( target_sum == sum )
{

printSubset(t, t_size);

subset_sum(s, t, s_size, t_size-1, sum - s[ite], ite + 1, target_sum);
return;
}
else
{

for( int i = ite; i < s_size; i++ )
{
t[t_size] = s[i];

subset_sum(s, t, s_size, t_size + 1, sum + s[i], i + 1, 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);
}

int main()
{
int weights[] = {10, 7, 5, 18, 12, 20, 15};
int size = ARRAYSIZE(weights);

generateSubsets(weights, size, 35);
printf("Nodes generated %dn", total_nodes);
return 0;
}