Problem10231--CCC '17 J1 - Quadrant Selection

10231: CCC '17 J1 - Quadrant Selection

[Creator : ]
Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

A common problem in mathematics is to determine which quadrant a given point lies in. There are four quadrants, numbered from 1 to 4, as shown in the diagram below:


For example, the point $A$, which is at coordinates (12,5) lies in quadrant 1 since both its $x$ and $y$ values are positive, and point $B$ lies in quadrant 2 since its $x$ value is negative and its $y$ value is positive.

Your job is to take a point and determine the quadrant it is in. You can assume that neither of the two coordinates will be 0.


Input

The first line of input contains the integer $x\ (-1,000≤x≤1,000;\ x\neq 0)$. 

The second line of input contains the integer $y\ (-1,000≤y≤1,000;\ y\neq 0)$.

Output

Output the quadrant number (1, 2, 3 or 4) for the point $(x,y)$.

Sample 1 Input

12
5

Sample 1 Output

1

Sample 2 Input

9
-13

Sample 2 Output

4

HINT

ccc17j1

Source/Category