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 <iostream>
#include <queue>
#include <algorithm>
using namespace std;
vector<int> ans, x, s;
vector<vector<int> > dp;
int N;
const int maxN = 1e5;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int T;
cin >> T;
while(T--){
ans.clear();
cin >> N;
x.assign(N + 1, 0);
s.assign(N + 1, 0);
for(int i = 1; i <= N; ++i){
cin >> x[i];
s[i] = s[i - 1] + x[i];
}
dp.assign(N + 1, vector<int> (s[N] + 1, 0));
for(int i = 1; i <= N; ++i){
for(int j = s[N]; j >= x[i]; --j)
dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - x[i]]);
dp[i][x[i]] = i;
for(int j = x[i] - 1; j >= 0; --j)
dp[i][j] = dp[i - 1][j];
}
bool ok;
for(int i = 2; i <= N; ++i){
ok = true;
for(int j = 1; j <= N - i + 1; ++j){
int sum = s[j + i - 1] - s[j - 1];
if(sum % 2 || dp[j + i - 1][sum / 2] < j) ok = false;
}
if(ok) ans.push_back(i);
}
cout << ans.size() << ' ';
for(auto e:ans)
cout << e << ' ';
cout << '\n';
}
return 0;
}
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