#include <bits/stdc++.h>

using namespace std; 

typedef long long i64;
typedef pair<int, int> PII;

void solve()
{
	int n;
	cin >> n;
	
	int c1 = 0, c2 = 0, c3 = 0;
	int is = 0;
	
	for(int i = 0; i < n; i++)
	{
		int x;
		cin >> x;
		
		if(x == 1) c1++;
		else if(x == -1) c2++;
		else c3++;
		
		if(c2 >= c1 + c3 && c2) is = 1;	
	} 
	
	if(is) cout << "-1\n";
	else
	{
		int x = c1 + 1, y = c1 - c2 + 1;
		if(y <= 0)
		{
			c3 += y - 1;
			y = 1;
			
			if(c3 % 2)
			{
				x++;
				y++;
				c3--;
			}
			x += c3 / 2;
			if(y != 1 && x % y == 0)
			{
				y = 1;
				x /= y;
			}
			cout << x << ' ' << y << '\n';
		}
		else
		{
			if(c3 % 2)
			{
				x++;
				y++;
				c3--;
			}
			x += c3 / 2;
			if(y != 1 && x % y == 0)
			{
				y = 1;
				x /= y;
			}
			cout << x << ' ' << y << '\n';
		}
	}
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int t = 1;
    cin >> t;
    
    while(t--) solve();
    
    return 0;
}