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 Kotlin (1.3.71) (judge verdict: Wrong Answer)

import kotlin.math.log10

fun main() {
    readLine()
    val xs = readLine()!!.split(" ")
    var result = 1L
    var over = false
    xs.forEach { v ->
        val a = v.toLong()
        if (a == 0L) {
            result = 0
            return@forEach
        }
        if (over) return@forEach
        if (log10(result.toDouble()) + log10(a.toDouble()) > 18) {
            over = true
            return@forEach
        }
        result *= a
    }
    if (result != 0L && over) result = -1L
    println(result)
}