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 <stdio.h>
#include <stdlib.h>
int main(){
  long long int a,b,c,d,ans;
  scanf("%lld %lld %lld %lld",&a,&b,&c,&d);
  if(a>0 && c>0) ans=b*d;
  else if(b<0 && d<0) ans=a*c;
  else if(a>0 && d<0) ans=a*d;
  else if(c>0 && b<0) ans=b*c;
  else if(b>0 && d>0 && a>0 || c>0) ans=b*d;
  else if(a<0 && c<0 && b<0 || d<0) ans=a*c;
  else{
    if(a*c>b*d) ans=a*c;
    else ans=b*d;
  }
  printf("%lld",ans);
  return 0;
}