Problem:
Score : 200 points

Problem Statement

Given are integers a,b,c and d.
If x and y are integers and a \leq x \leq b and c\leq y \leq d hold, what is the maximum possible value of x \times y?

Constraints

-10^9 \leq a \leq b \leq 10^9

-10^9 \leq c \leq d \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

a b c d

Output

Print the answer.

Sample Input 1

1 2 1 1

Sample Output 1

2

If x = 1 and y = 1 then x \times y = 1.
If x = 2 and y = 1 then x \times y = 2.
Therefore, the answer is 2.

Sample Input 2

3 5 -4 -2

Sample Output 2

-6

The answer can be negative.

Sample Input 3

-1000000000 0 -1000000000 0

Sample Output 3

1000000000000000000

Solution in Rust (1.42.0) (judge verdict: Wrong Answer)

#![allow(non_snake_case)]

use std::io::{stdin, Read};
use std::str::FromStr;
fn read_option<T: FromStr>() -> Option<T> {
    let stdin = stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok()
}
fn read<T: FromStr>() -> T {
    let opt = read_option();
    opt.expect("failed to parse token")
}

fn main() {
    let a: i64 = read();
    let b: i64 = read();
    let c: i64 = read();
    let d: i64 = read();
    if b > 0 && d > 0 {
        println!("{}", b * d);
        return;
    }
    if b < 0 && d < 0 {
        println!("{}", a * c);
        return;
    }
    if b == 0 {
        if c < 0 {
            println!("{}", a * c);
        } else {
            println!("0")
        }
        return;
    }
    if d == 0 {
        if a < 0 {
            println!("{}", a * c);
        } else {
            println!("0")
        }
        return;
    }
    // b < 0 もしくは、 d < 0
    if b < 0 {
        if c < 0 {
            println!("{}", a * c);
        } else {
            println!("{}", c * b);
        }
        return;
    }
    if d < 0 {
        if a < 0 {
            println!("{}", a * c);
        } else {
            println!("{}", a * d);
        }
        return;
    }
}