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.Arrays;
import java.util.Scanner;

public class Main{
  public static void main(String[] args){
	  Scanner sc = new Scanner(System.in);
	  int n=sc.nextInt();
	  long[] a=new long[n];
	  for(int i=0;i<n;i++)a[i]=sc.nextLong();
	  Arrays.sort(a);
	  long sum=1;
	  for(int i=0;i<n;i++) {
		  try{
			  sum=Math.multiplyExact(sum, a[i]);
		  }catch(ArithmeticException e){
			  System.out.println(-1);
			  System.exit(0);
		  }
		  if(sum>1000000000000000000L) {
			  System.out.println(-1);
			  System.exit(0);
		  }
	  }
	  System.out.println(sum);
  }
}

