This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 1e5+5;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
int ar[MAXN];
ll mx = INF, ans, sum;
map <pair<pii, int>, bool> mp;
int suf[MAXN];
void dp(int fark, int ind, int kul){
if(mx == 0) return;
pair<pii, int> a = {{fark, ind}, kul};
if(mp[a]) return;
mp[a] = 1;
if(ind > n) return;
if(fark > suf[ind]){
return;
}
if(fark == 0 && kul != 0){
if(sum - kul < mx){
ans = sum - kul/2;
mx = sum - kul;
//cout<<sum<<" "<<kul<<endl;
}
}
dp(fark + ar[ind], ind + 1, kul + ar[ind]);
dp(abs(fark - ar[ind]), ind + 1, kul + ar[ind]);
dp(fark, ind + 1, kul);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);cout.tie(nullptr);
#ifdef Local
freopen("../IO/int.txt","r",stdin);
freopen("../IO/out.txt","w",stdout);
#endif
cin>>n;
for(int i = 0; i < n; i++){
cin>>ar[i];
sum += ar[i];
}
for(int i = n - 1; i >= 0; i--){
suf[i] = suf[i + 1] + ar[i];
}
sort(ar, ar + n);
reverse(ar, ar + n);
dp(0, 0, 0);
cout<<ans<<endl;
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
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