Find Quadrant

Give two numbers x, y that represent a point in 2D, write function that determines what quadrant the points falls in. Your function should return 1 or 2 or 3 or 4 for first quadrant, second quadrant, third quadrant and fourth quadrant

Note: None of the points you will be given lie on the x axis or the y axis.

Example 1

Input

2 1

Output

1

Example 2

Input

-2 1

Output

2

Example 3

Input

-2 -5

Output

3

Example 4

Input

5 -10

Output

4