This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,avx2,fma,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
/* DEFINES */
#define S second
#define F first
#define ll long long
#define ull unsigned long long
#define ld long double
#define npos ULLONG_MAX
#define INF LLONG_MAX
#define vv(a) vector<a>
#define pp(a, b) pair<a, b>
#define pq(a) priority_queue<a>
#define qq(a) queue<a>
#define ss(a) set<a>
#define mm(a, b) map<a, b>
#define ump(a, b) unordered_map<a, b>
#define ANDROID \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define elif else if
#define endl "\n"
#define allc(a) begin(a), end(a)
#define all(a) a, a + sizeof(a) / sizeof(a[0])
#define pb push_back
#define logi(a) __lg(a)
#define sqrt(a) sqrtl(a)
#define mpr make_pair
#define ins insert
using namespace std;
using namespace __gnu_pbds;
using namespace __cxx11;
typedef char chr;
typedef basic_string<chr> str;
template <typename T, typename key = less<T>>
using ordered_set = tree<T, null_type, key, rb_tree_tag, tree_order_statistics_node_update>;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll MAX = 1e5 + 5, N = 1005;
ll a[N];
ll dp[MAX];
bool can[N];
void solve()
{
ll n;
cin >> n;
for (ll i = 1; i <= n; i++)
cin >> a[i], can[i] = true;
for (ll i = 0; i < MAX; i++)
dp[i] = n + 1;
dp[0] = n;
for (ll i = n; i >= 1; i--)
{
for (ll j = MAX - a[i]; j >= 0; j--)
dp[j + a[i]] = min(dp[j + a[i]], dp[j]);
dp[0] = i - 1;
for (ll j = i, sum = 0; j <= n; j++)
sum += a[j], can[j - i + 1] &= !(sum & 1) and dp[sum >> 1] <= j;
}
vv(ll) ans;
for (ll i = 1; i <= n; i++)
if (can[i])
ans.pb(i);
cout << ans.size() << " ";
for (ll i : ans)
cout << i << " ";
cout << endl;
}
/*
*/
int main()
{
ANDROID
// precomp();
ll t = 1;
cin >> t;
for (ll i = 1; i <= t; i++)
// cout << "Case #" << i << ": ",
solve();
cerr << "\nTime elapsed : " << clock() * 1000.0 / CLOCKS_PER_SEC << " ms\n";
}
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