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Minimum Subset Sum Difference.cpp
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80 lines (66 loc) · 1.05 KB
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#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
int subsetsum(int ar[],int n,long sum)
{
bool dp[n+1][sum+1];
int i,j;
for(i=1;i<sum+1;i++)
{
dp[0][i]=false;
}
for(i=0;i<n+1;i++)
{
dp[i][0]=true;
}
dp[0][0]=true;
for(i=1;i<=n;i++)
{
for(j=1;j<=sum;j++)
{
dp[i][j]=dp[i-1][j];
if(ar[i-1]<=j)
{
dp[i][j]=dp[i-1][j-ar[i-1]] | dp[i][j];
}
}
}
vector<int> v;
for(i=(sum)/2;i>=0;i--)
{
if(dp[n][i]==true)
{
v.push_back(i);
}
}
int min1=INT_MAX;
long range=sum;
for(i=0;i<v.size();i++)
{
if(min1>range-2*v[i])
{
min1=range-2*v[i];
}
}
return min1;
}
int main()
{
int t;
cin>>t;
while(t--)
{
int n,w;
cin>>n;
int ar[n];
long i,j,sum=0;
for(i=0;i<n;i++)
{
cin>>ar[i];
sum=sum+ar[i];
}
cout<<subsetsum(ar,n,sum);
cout<<endl;
}
return 0;
}