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Create subset-sum.cpp #49

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37 changes: 37 additions & 0 deletions c++/subset-sum.cpp
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Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;

bool isSubsetSum(int set[], int n, int sum)
{
bool subset[n + 1][sum + 1];

for (int i = 0; i <= n; i++)
subset[i][0] = true;

for (int i = 1; i <= sum; i++)
subset[0][i] = false;

for (int i = 1; i <= n; i++) {
for (int j = 1; j <= sum; j++) {
if (j < set[i - 1])
subset[i][j] = subset[i - 1][j];
if (j >= set[i - 1])
subset[i][j]
= subset[i - 1][j]
|| subset[i - 1][j - set[i - 1]];
}
}
return subset[n][sum];
}

int main()
{
int set[] = { 3, 34, 4, 12, 5, 2 };
int sum = 9;
int n = sizeof(set) / sizeof(set[0]);
if (isSubsetSum(set, n, sum) == true)
cout << "Found a subset with given sum";
else
cout << "No subset with given sum";
return 0;
}