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.*; 

class Main{
public static void main(String[] args){
	Scanner sc=new Scanner(System.in);
        int n=sc.nextInt();
  		long[] a=new long[n];
  		long ans=1;
		for(int c=0;c<n;c++){
    		a[c]=sc.nextLong();
          	if(a[c]==0){
            	ans=0;
            }
    	}
  	if(ans!=0){
		for(int c=0;c<n;c++){
          if(a[c]<=(long)Math.pow(10,18)/ans){
            ans*=a[c];
          }else{
          	ans=-1;
            break;
          }
    	}
    }
    	System.out.println(ans);
    }
}
