#include <bits/stdc++.h>
using namespace std;

int n, a[1000006];

void solve(){
    cin >> n;
    int sum = 0, b = 0;
    int ttl1 = 0, ttl0 = 0, ttlm1 = 0;
    for(int i = 0; i < n; i++){
        cin >> a[i];
        
        if(a[i] == 1) ttl1++;
        if(a[i] == -1) ttlm1++;
        if(a[i] == 0) ttl0++;

        if(a[i] == -1) sum--;
        else sum++;

        if(sum < 0) b = 1;
    }
    if(b == 1){
        cout << -1 << "\n";
        return;
    }
    
    int ttl = ttl0 + ttlm1 - ttl1;
    if(ttl % 2 == 0) ttl = ttl / 2;
    else ttl = ttl / 2 + 1;

    int s1 = 1, s2 = 1;
    // cout << "chinguun " << ttl << '\n';
    for(int i = 0; i < n; i++){
        if(a[i] == 1){
            s1++;
            s2++;
        }
        if(a[i] == -1){
            s2--;
        }
        if(a[i] == 0){
            if(ttl > 0){
                s1++;
                s2++;
                ttl--;
            }
            else{
                s2--;
            }
        }
    }
    int a = __gcd(s1, s2);
    cout << s1 / a << ' ' << s2 / a << "\n";
}

int main(){
    int t; 
    cin >> t;
    while(t--){
        solve();
    }
    return 0;
}