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 Scala (2.13.1) (judge verdict: Wrong Answer)

object Main extends App {
  val n = scala.io.StdIn.readInt()
  val a = scala.io.StdIn.readLine()
  var result = 1L
  val max = 1000000000000000000L
  a.split(" ").map(_.toLong).sorted.foreach { n =>
    if (result != 0L && result != -1L) {
      if (result.toString.length + n.toString.length > 19) {
        result = -1L
      } else {
        result = result * n
        // println(result)
        if (result > max) {
          result = -1L
        } else if (result < 0L) {
          result = -1L
        }
      }
    }
  }
  println(result)
}