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>
using namespace std;
/// 123
int32_t main() {
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
int sum = accumulate(a.begin(), a.end(), 0);
vector<int64_t> f(sum + 1, 0);
f[0] = 1;
for (int i = 0; i < n; i++) {
for (int j = sum; j >= a[i]; j--) {
f[j] += f[j - a[i]];
}
}
if (sum % 2 || f[sum / 2] == 0) {
return cout << 0, 0;
}
vector<int> good(sum + 1, 1);
for (int i = 0; i < n; i++) {
for (int j = a[i]; j <= sum; j++) {
f[j] -= f[j - a[i]];
}
for (int j = 0; j <= sum; j++) {
good[j] &= ((j + sum - a[i]) % 2 == 0) && (f[(j + sum - a[i]) / 2]);
}
for (int j = sum; j >= a[i]; j--) {
f[j] += f[j - a[i]];
}
}
vector<int> ans;
for (int i = 1; i <= sum; i++) {
if (good[i]) ans.emplace_back(i);
}
cout << ans.size() << '\n';
for (int i : ans) cout << i << ' ';
}
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