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.math.BigInteger; 
public class Main {

  public static void main(String[] args) { 
BigInteger max = BigInteger.valueOf(1_000_000_000_000_000_000L);
      Scanner sc = new Scanner(System.in);
      int n = sc.nextInt();
      
      long[] arr = new long[n];
      for(int i = 0; i < n; i++) {
        arr[i] = sc.nextLong();
        if(arr[i] == 0) {
          System.out.println(0);
          return;
        }
      }
      BigInteger res = BigInteger.ONE;
      for(long num : arr) {
        res = res.multiply(BigInteger.valueOf(num));
        if(res.compareTo(max) > 0) {
          System.out.println(-1);
          return;
        }
      }
      System.out.println(res);
  }
}