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
import java.util.*;
import java.io.*;

public class Main
{
	public static void main(String [] Args)
	{
		long ans=1;
		int flag=0;
		Scanner in = new Scanner(System.in);
		int n=in.nextInt();
		for(int i=0;i<n;i++)
		{
			long a=in.nextLong();
			if(a==0)
			{
				flag=-1;
				ans=ans*a;
				break;
			}			
			if(ans>(long)1e18/a)
			{
				flag=1;
			}
			ans=ans*a;
		}
		if(flag==1)
		{
			ans=-1;
		}
		System.out.println(ans);
	}
}
	