이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
const int N = 505;
const int S = 1e5 + 10;
int n, a[N];
vector<int> dp[S], possible;
bool mark[S], poss[S];
int main(){
cin >> n;
int total = 0;
for (int i = 0; i < n; i ++)
cin >> a[i], total += a[i];
dp[0] = {-1};
for (int i = 0; i < n; i ++){
for (int sm = total; sm >= a[i]; sm--){
if (dp[sm - a[i]].size() == 0 or dp[sm].size()) continue;
dp[sm] = dp[sm - a[i]];
dp[sm].push_back(i);
possible.push_back(sm);
}
}
sort(possible.begin(), possible.end());
reverse(possible.begin(), possible.end());
int ite = 0;
int mx = -1;
for (int X : possible){
if (ite >= 1.8e8) break;
if (X > (total / 2) or dp[2 * X].size() == 0) continue;
// cout << "Starting to check " << X << endl;
for (int i : dp[X]){
// cout << "marking index = " << i << endl;
ite++;
if (~i) mark[i] = 1;
}
poss[0] = 1;
for (int i = 0; i < n; i ++){
if (mark[i]){
mark[i] = 0;
ite++;
continue;
}
for (int sm : possible){
ite++;
if (sm > X) continue;
if (sm < a[i]) break;
poss[sm] |= poss[sm - a[i]];
}
}
if (poss[X]){
mx = X;
break;
}
for (int sm : possible){
ite++;
poss[sm] = 0;
}
}
if (~mx){
cout << total - mx << endl;
return 0;
}
for (int x = 0; 2 * x < S; x ++)
if (dp[x].size() and dp[2 * x].size())
mx = max(mx, x);
cout << mx + (total - 2 * mx) << endl;
}
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