101781: [AtCoder]ABC178 B - Product Max

Memory Limit:256 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

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

Input

题意翻译

整数 $a,b,c,d,x,y$ 满足: $a≤x≤b$ , $c≤y≤d$ 。给出 $a,b,c,d$ ,求出 $x×y$ 的最大值。

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