//这回只花了114514min就打完了。
//真好。记得多手造几组。
#include <bits/stdc++.h>
//#define int long long
#define pai 3.141592653589793238462643383279502884197169399375105820
#define MOD 1000000007
#define eps 0.00000001
inline int min(int a,int b) {return a<b?a:b;}
inline int max(int a,int b) {return a>b?a:b;}
#define ULL unsigned long long
#define LL long long
#define INF 0x3f3f3f3f
#define INF_LL 0x3f3f3f3f3f3f3f3f
static char buf[1000000],*paa=buf,*pd=buf;
static char buf2[1000000],*pp=buf2;
#define getchar() paa==pd&&(pd=(paa=buf)+fread(buf,1,1000000,stdin),paa==pd)?EOF:*paa++
inline void pc(char ch){
	if(pp-buf2==1000000) fwrite(buf2,1,1000000,stdout),pp=buf2;
	*pp++=ch;
}
inline void pcc(){
	fwrite(buf2,1,pp-buf2,stdout);
	pp=buf2;
}
inline int read(void) {
	int w=1;
	register int x(0);register char c(getchar());
	while(c<'0'||c>'9') {if(c=='-') w=-1;c=getchar();}
	while(c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
	return w*x;
}
void write(int x) {
	if(x<0) pc('-'),x=-x;
	static int sta[20];
	int top=0;
	do {
		sta[top++]=x%10,x/=10;
	} while(x);
	while(top) pc(sta[--top]+48);
}
void we(int x) {
	write(x);
	pc('\n');
}
inline bool cmp_xi(int a,int b) {return a<b;}
inline bool cmp_da(int a,int b) {return a>b;}
int T,N,a[1000009],su[1000009];
signed main(void) {
    //freopen("m.in","r",stdin);
    //freopen("m.out","w",stdout);
	T=read();
	while(T--) {
		N=read();
		int b=1,sq=1;
		bool ff=0;
		for(int i=1;i<=N;i++) {
			a[i]=read();
			if(a[i]==-1) b--;else b++,sq++;
			if(b==0) {
				ff=1;
			}
			su[i]=b;
		}
		if(ff) {
			printf("-1\n");
			continue;
		}
		int a1=sq,a2=b,mm=INF;
		for(int i=N;i>=1;i--) {
			mm=std::min(mm,su[i]);
			if(a[i]==0) {
				if(mm<=2) break;
				b-=2;
				mm-=2;
				sq--;
				if(1ll*a1*b<1ll*sq*a2) a1=sq,a2=b;
			}
		}
		int v=std::__gcd(a1,a2);
		a1/=v;
		a2/=v;
		printf("%d %d\n",a1,a2);
	}
    return 0;
}