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 <bitset>
#include <fstream>
#include <iomanip>
#include <cmath>
#include <cassert>
#include <cstring>
#include <numeric>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>
#include <complex>
using namespace std;
#define ALL(x) begin(x), end(x)
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
void docase()
{
int n;
cin >> n;
vector<int> a(n), dp(50005, -1), c(n+1);
dp[0] = 0;
for (auto &x : a) cin >> x;
for (int sum = 0, i = 0; i < n; ++i)
{
sum += a[i];
for (int j = 50000; j >= a[i]; --j)
{
if (dp[j - a[i]] != -1) dp[j] = max(dp[j], max(i + 1, dp[j - a[i]]));
}
for (int sub = sum, j = 0; j <= i; ++j)
{
if (!(sub & 1) && dp[sub / 2] >= j + 1)
{
++c[i-j+1];
}
sub -= a[j];
}
}
vector<int> z;
for (auto i = 1; i <= n; ++i)
if (c[i] == n - (i - 1)) z.push_back(i);
cout << z.size() << ' ';
for (auto x : z) cout << x << ' ';
cout << '\n';
}
int main()
{
ShinLena;
int T;
cin >> T;
while (T--) docase();
return 0;
}
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