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<stdio.h>
#include<stdlib.h>
#include<math.h>

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

scanf("%ld %ld %ld %ld", &a, &b, &c, &d);

if(c>=0){
  if(b>=0) printf("%ld\n", b*d);
  else printf("%ld\n", b*c);
}

else{
  if(d>0){
    if(b>=0) printf("%ld\n", b*d);
    else printf("%ld\n", a*c);
  }

  else{
  if(a>=0) printf("%ld\n", a*d);
  else printf("%ld\n", a*c);
  }
}

  return 0;

}