Problem:
Score : 200 points

Problem Statement

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}.

Sample Input 1

2
1000000000 1000000000

Sample Output 1

1000000000000000000

We have 1000000000 \times 1000000000 = 1000000000000000000.

Sample Input 2

3
101 9901 999999000001

Sample Output 2

-1

We have 101 \times 9901 \times 999999000001 = 1000000000000000001, which exceeds 10^{18}, so we should print -1 instead.

Sample Input 3

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

Sample Output 3

0

Solution in Fortran (GNU Fortran 9.2.1) (judge verdict: Wrong Answer)

program mp2
  implicit none
  integer(16) :: N, i
  integer(16),allocatable :: a(:)
  integer(16) :: r

  read(*,*) N
  allocate(a(N))
  read(*,*) a

  r = 1_16
  do i = 1, N
     if (a(i) == 0) then
        write(*,*) 0
     end if
     stop
  end do
  
  do i = 1, N
     if (a(i) > 10_16**18_16) then
        write(*,*) -1
        stop
     else
        r = r * a(i)
        if (r > 10_16**18_16) then
           write(*,*) -1
           stop
        end if
     end if
  end do
  write(*,*) r
  stop
end program mp2