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 Go (1.14.1) (judge verdict: Runtime Error)

package main

import (
        "fmt"
)

func solution(n int, a []int) int {
        var out int = 1

        for _, num := range a {
                if num == 0 {
                        return 0
                }
        }
        for _, num := range a {
                out *= num
                if 1 > 1e18/out {
                        return -1
                }
        }
        return out
}

func main() {
        var n int
        fmt.Scan(&n)
        a := make([]int, 0, n)
        for i := 0; i < n; i++ {
                var t int
                fmt.Scan(&t)
                a = append(a, t)
        }
        fmt.Println(solution(n, a))
}