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: Wrong Answer)

#include <bits/stdc++.h>
#include <string>
using namespace std;
typedef long long ll;

int main(){
    ll a,b,c,d;
    ll ma,mi;
    cin>>a>>b>>c>>d;
    if(b<=0&&d<=0){
        ma=a;mi=c;
    }else if(b>0&&d>0){
        ma=b;mi=d;
    }else{
        if(b<=0){
            ma=b;
            mi=c;
        }else if(d<=0){
            ma=a;
            mi=d;
        }
    }
    cout<<ma*mi;
    return 0;
}