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;

class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		BigInteger bi = BigInteger.ONE;
		for(int i=0; i<N; i++){
			BigInteger next = sc.nextBigInteger();
			if(!bi.equals(BigInteger.valueOf(-1))){
				if(bi.multiply(next).compareTo(BigInteger.valueOf(1000000000000000000L)) > 0){
					bi =  BigInteger.valueOf(-1);
				}else{
					bi = bi.multiply(next);
				}
			}else if(next.equals(BigInteger.ZERO)){
				bi = BigInteger.valueOf(0);
			}
		}
		System.out.print(bi);
	}
}

