#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;
    int fh = 0;
    for (int i = 1; i <= n; ++i) {
        if (v[i] == 1)++sum, ++cnt;
        else if (v[i] == 0) {
            if (cnt > 1)++fh, --cnt;
            else ++sum, ++cnt;
        } else {
            if (cnt == 1) {
                if (fh) {
                    --fh, ++cnt;//1.反悔
                    ++sum, ++cnt;//反悔变成1
                    --cnt;//进行-1操作
                } else {
                    cout << -1 << endl;
                    return;
                }
            } else --cnt;
        }
    }
    int g = __gcd(sum, cnt);
    cout << sum / g << ' ' << sum / cnt << endl;
}

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