Given N integers A_1, ..., A_N, compute A_1 \times ... \times A_N.

However, if the result exceeds 10^{18}, print `-1` instead.

Constraints

* 2 \leq N \leq 10^5
* 0 \leq A_i \leq 10^{18}
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
A_1 ... A_N


Output

Print the value A_1 \times ... \times A_N as an integer, or `-1` if the value exceeds 10^{18}.

Examples

Input

2
1000000000 1000000000


Output

1000000000000000000


Input

3
101 9901 999999000001


Output

-1


Input

31
4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0


Output

0
#include<stdio.h>

int main()
{
	int t;
	long long int a, max=1e18,flag=0,zero=0,prod=1;
	
	scanf("%d",&t);
	
	for (int i=0;i<t;i++)
	{
		scanf("%lld",&a);
		flag=(a>max) ? 1:flag;
		prod*=a;
		a!=0 ? max=max/a : zero=1;
	}
	if (zero==1)
	{
		printf("0\n");
	}
	
	else if (flag == 1)
	{
		printf("-1\n");
	}
	else
	{
		printf("%lld\n",prod);
	}
	
	return 0;
}