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 C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <iostream>
#include <cstdint>
#include <cmath>
#include <string>
#include <vector>
#include <map>
#include <algorithm>

int main(void)
{
    int64_t a, b, c, d;

    std::cin >> a >> b >> c >> d;

    int64_t max = -INT64_MAX;

    max = std::max(max, a*c);
    max = std::max(max, a*d);
    max = std::max(max, b*c);
    max = std::max(max, b*d);

    std::cout << max << std::endl;

    return 0;
}