#include<iostream>
#include<cstdio>
using namespace std;
const int N=1000005;
int gcd(int a,int b)
{
    return b==0?a:gcd(b,a%b);
}
int n;
int a[N];
int s[N];
int suf[N];
void solve()
{
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
        scanf("%d",&a[i]);
    for(int i=1;i<=n;i++)
        if(a[i]==-1) s[i]=s[i-1]-1;
        else s[i]=s[i-1]+1;
    suf[n+1]=suf[n]=s[n];
    for(int i=n-1;i>=1;i--)
        suf[i]=min(suf[i+1],s[i]);
//    for(int i=1;i<=n;i++)
//        cerr<<s[i]<<" ";cerr<<"\n";
    int tot=1,sum=1;
    for(int i=1;i<=n;i++)
    {
        if(a[i]==1) tot++,sum++;
        else if(a[i]==-1)
        {
            if(tot>=2) tot--;
            else
            {
                printf("-1\n");
                return;
            }
        }
        else
        {
//            cerr<<"now"<<i<<" "<<suf[i+1]-s[i]<<"\n";
            if(tot-1<=-(suf[i+1]-s[i])) sum++,tot++;
            else
            {
                if(tot<=1)
                {
                    exit(1);
                }
                tot--;
            }
        }
    }
    int g=gcd(tot,sum);
    tot/=g,sum/=g;
    printf("%d %d\n",sum,tot);
    return;
}
int main()
{
    int T;
    scanf("%d",&T);
    while(T--)
        solve();
    return 0;
}