Stan and Ollie play the game of Odd Brownie Points. Some brownie
points are located in the plane, at integer coordinates. Stan plays
first and places a vertical line in the plane. The line must go
through a brownie point and may cross many (with the same
x-coordinate). Then Ollie places a horizontal line that must cross
a brownie point already crossed by the vertical line.
Those lines divide the plane into four quadrants. The quadrant
containing points with arbitrarily large positive coordinates is the
top-right quadrant.

The players score according to the number of brownie points in the
quadrants. If a brownie point is crossed by a line, it doesn't
count. Stan gets a point for each (uncrossed) brownie point in the
top-right and bottom-left quadrants. Ollie gets a point for each
(uncrossed) brownie point in the top-left and bottom-right quadrants.

Your task is to compute the scores of Stan and Ollie given the point
through which they draw their lines.

Input contains a number of test cases. The data of each test case
appear on a sequence of input lines. The first line of each test case
contains a positive odd integer
1 < *n* < 200000 which is the number
of brownie points. Each of the following *n* lines contains
two integers, the horizontal (*x*) and vertical (*y*)
coordinates of a brownie point. No two brownie points occupy the same
place. The input ends with a line containing 0 (instead of the
*n* of a test).

For each test case of input, print a line with two numbers separated
by a single space. The first number is Stan's score, the second is
the score of Ollie when their lines cross the point whose coordinates
are given at the center of the input sequence of points for this case.

### Sample input

11
3 2
3 3
3 4
3 6
2 -2
1 -3
0 0
-3 -3
-3 -2
-3 -4
3 -7
0

### Output for sample input

6 3

*P. Rudnicki*