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.*;
public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int a = sc.nextInt();
		long [] in = new long [a];
        for(int i=0;i<a;i++){
                             in[i] = sc.nextLong();
                            }
        Arrays.sort(in);
		long ans = 1;
        String str = "1000000000000000000";
        long max = Long.parseLong(str);
        for(int i=0;i<a;i++){if(in[i]==0){ans=0;break;}
                             if(in[i]<=max/ans){ans*=in[i];
                                             }else{ans=-1;break;}
                            }
		System.out.println(ans);
	}
}
