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check whether the subset(no need to be consective) and be sum of X

2014-06-22 12:00 776 查看
#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
[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;
}
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