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~.
The first line of input contains the integer ~x~ ~(-1\,000 \leq x \leq 1\,000; x \not= 0)~. The second line of input contains the integer ~y~ ~(-1000 \leq y \leq 1000; y \not= 0)~.
Output the quadrant number (~1~, ~2~, ~3~ or ~4~) for the point ~(x,y)~.
Sample Input 1
Sample Output 1
Sample Input 2
Sample Output 2