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equalSumPartition.cpp
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58 lines (47 loc) · 1004 Bytes
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#include <bits/stdc++.h>
using namespace std;
int t[105][100005];
bool isSubsetSum(int a[], int n, int sum)
{
if (sum == 0)
return true;
if (n == 0 && sum != 0)
return false;
if (t[n][sum] != 0)
return t[n][sum];
if (a[n - 1] > sum)
return isSubsetSum(a, n - 1, sum);
else if (a[n - 1] <= sum)
{
return t[n][sum] = (isSubsetSum(a, n - 1, sum - a[n - 1])) || (isSubsetSum(a, n - 1, sum));
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int tc;
cin >> tc;
while (tc--)
{
memset(t, 0, sizeof t);
int n;
cin >> n;
int a[n + 4];
int sum = 0;
for (int i = 0; i < n; i++)
{
cin >> a[i];
sum += a[i];
}
if (sum % 2 != 0)
{
cout << "NO\n";
}
else
{
isSubsetSum(a, n, sum / 2) ? cout << "YES\n" : cout << "NO\n";
}
}
}