#include "stdafx.h"
bool isSubsetSum(int set[], int n, int sum)
{
bool sumOfSubSet[100][100];
for (int i=0; i<100; i++)
{
for (int j=0; j<100; j++)
{
sumOfSubSet[i][j] = false;
}
}
/*
* F[i][j] ±Ì æ ¥”1-i÷–—°»°µƒ ˝÷–£¨∫ÕŒ™ j µƒ «∑ҥʑ⁄
* true ±Ì æ¥Ê‘⁄ false ±Ì æ≤ª¥Ê‘⁄
*/
for (int j=0; j<=sum; j++)
sumOfSubSet[0][j] = false;
for (int i=0; i<=n; i++)
sumOfSubSet[i][0] = false;
sumOfSubSet[0][0] = true;
for (int i=1; i<=n; i++)
{
for (int j=1; j<=sum; j++)
{
sumOfSubSet[i][j] = sumOfSubSet[i-1][j];
if ((j-set[i-1] >= 0) && (sumOfSubSet[i][j-set[i-1]]))
{
sumOfSubSet[i][j] = true;
}
}
}
return sumOfSubSet[n][sum];
}
int _tmain(int argc, _TCHAR* argv[])
{
int set[] = {3, 34, 4, 12, 5, 2};
int sum = 13;
int n = sizeof(set)/sizeof(set[0]);
if (isSubsetSum(set, n, sum) == true)
printf("Found a subset with given sum");
else
printf("No subset with given sum");
return 0;
}