#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
using pii = pair<int,int>;
const int inf = 1e10;
void solve() {
    int n;
    cin >> n;
    vector<int> v(n + 1, 0);
    for (int i = 1; i <= n; ++i) cin >> v[i];
    int sum = 1, cnt = 1, zero = 0;
    for (int i = 1; i <= n; ++i) {
        if (v[i] == 1)++sum, ++cnt;
        else if (v[i] == 0)++zero;
        else {
            if (cnt == 1) {
                if (zero)--zero, ++sum;
                else {
                    cout << -1 << endl;
                    return;
                }
            } else --cnt;
        }
    }
    auto Max = [&](pii a, pii b) -> pii {
        if (a.first * b.second > b.first * a.second)return a;
        else return b;
    };
    pii res = {1, inf};
    for (int i = 0; i <= zero; ++i) {
        if (cnt + 2 * i - zero > 0) {
            pii tmp = {sum + i, cnt + i - (zero - i)};
            res = Max(res, tmp);
        }
    }
    int g = __gcd(res.first, res.second);
    cout << res.first / g << ' ' << res.second / g << endl;
}

signed main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int _=1;
    cin>>_;
    while(_--){
        solve();
    }
    return 0;
}