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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)


let input = require("fs").readFileSync("/dev/stdin", "utf8")

function main({ input, load, yesno, math_sum, math_max, math_min, log_json }) {
    const [N] = load()
    const A = load(N,1,BigInt)
 
    if(A.includes(0n)) return 0
    
    let result = 1n
    for(const a of A) {
        result *= a
        if(result > 1e18) return -1
    }
    
    return result.toString()
}



let inputs = input.split(/[\s\n]/)
let result = main({
    input,
    yesno: value => value ? 'Yes' : 'No',
    math_sum: numbers => numbers.reduce((acc, cur) => acc + cur, 0),
    load(rows = 1, cols = 1, type = Number) {
        const length = rows * cols
        let result = inputs.splice(0, length)
        if(type !== String) result = result.map(type)
        if(cols > 1) {
            const arrays = new Array(cols)
            for(let col = 0; col < cols; col++) {
                arrays[col] = new Array()
                for(let row = 0; row < rows; row++) {
                    arrays[col].push(result[row * cols + col])
                }
            }
            result = arrays
        }
        return result
    },
    inifinite_loop_preventer() {
        throw new Error("Infinite loop")
    },
    math_max,
    math_min,
    log_json(value) {
        console.log(JSON.stringify(value))
    },
})

if(result === undefined) {
    console.warn("result is undefined")
} else {
    console.log(result)
}

function math_max(numbers, initial_value = null) {
    let result = (initial_value === null) ? numbers[0] : initial_value
    for(const n of numbers) if(n > result) result = n
    return result
}

function math_min(numbers, initial_value = null) {
    let result = (initial_value === null) ? numbers[0] : initial_value
    for(const n of numbers) if(n < result) result = n
    return result
}