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 N =sc.nextInt();
  		    long[] A = new long[N];
  		    long ans=1;
		    for(int i=0; i<N; i++){
    		    A[i]=sc.nextLong();
          	    if(A[i]==0){
            	    ans=0;
                }
    	    }
  	    	if(ans!=0){
		    	for(int i=0; i<N; i++){
            	if(A[i] <= (long)Math.pow(10,18)/ans){
                	ans *= A[i];
            	}else{
          	    	ans=-1;
                	break;
            	}
    		}
  	    }
    	System.out.println(ans);
    }
}