This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Bismillahir-Rahmanir-Rahim
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
# include <bits/stdc++.h>
# define TIME (clock() * 1.0 / CLOCKS_PER_SEC)
# define pb push_back
# define ff first
# define ss second
# define nl "\n"
# define sz(x) ((int)(x).size())
# define all(x) (x).begin(), (x).end()
# define deb(x) cerr << #x << " = " << x << endl;
# define pll pair <ll, ll>
# define pii pair <int, int>
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
const ll maxn = 1e5 + 7;
const ll inf = 2e18 + 0;
const ll mod = 1e9 + 7;
const ll dx[] = {-1, 1, 0, 0};
const ll dy[] = {0, 0, -1, 1};
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
short n;
int a[1003];
short dp[1003][50003];
int pref[1003];
bitset <1003> ans;
void ma1n (/* SABR */)
{
cin >> n;
for (short i = 1; i <= n; ++i)
{
cin >> a[i];
pref[i] = pref[i - 1] + a[i];
}
for (short i = 1; i <= n; ++i)
{
for (int j = 0; j <= pref[n] / 2; ++j)
{
dp[i][j] = 0;
}
}
ans.reset();
for (short k = 2; k <= n; ++k) ans[k] = 1;
for (short i = 1; i <= n; ++i)
{
for (int j = 1; j <= pref[n] / 2; ++j)
{
dp[i][j] = dp[i - 1][j];
if (j > a[i])
{
dp[i][j] = max(dp[i][j], dp[i - 1][j - a[i]]);
}
else if (j == a[i])
{
dp[i][j] = i;
}
}
for (short k = 2; k <= i; ++k)
{
int sum = pref[i] - pref[i - k];
if (sum & 1)
{
ans[k] = 0;
}
if (dp[i][sum / 2] < i - k + 1)
{
ans[k] = 0;
}
}
}
cout << ans.count() << ' ';
for(short i = ans._Find_first(); i <= n; i = ans._Find_next(i))
{
cout << i << ' ';
}
cout << nl;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
// freopen("file.in", "r", stdin);
// freopen("file.out", "w", stdout);
int ttt = 1;
cin >> ttt;
for (int test = 1; test <= ttt; ++test)
{
// cout << "Case " << test << ":" << '\n';
ma1n();
}
return 0;
}
// 998batrr | BbIWEJI 3A TObOU!!!
// tourist | BbIWEJI 3A TObOU!!!
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