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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)


import java.util.Scanner;
public class Main {
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		long a=sc.nextLong();
		long b=sc.nextLong();
		long c=sc.nextLong();
		long d=sc.nextLong();
		
		long x=0;
		
		if(b<=0 && c<=0) {
			x=a*c;
		}
		else if(a>=0&&d>=0){
			x=b*d;
		}
		else if(b<=0&&c>=0) {
			x=b*c;
		}
		else if(a>=0&&d<=0){
			x=a*d;
		}
		else if(a<=0&&b>=0&&c<=0&&d>=0) {
			if(a*c>=b*d) {
				x=a*c;
			}
			else {
				x=b*d;
			}
		}
		else if(a<=0&&b>=0&&d<=0) {
			x=a*c;
		}
		else if(a<=0&&b>=0&&c>=0) {
			x=b*d;
		}
		System.out.println(x);
		sc.close();
	}
}