# Beehives

Bill’s hives all exist on a plane, and he knows some distance d such that two hives within $d$ of each other will fight, and both will produce sour honey. If a hive does not fight with any other hives, it produces sweet honey. Given $d$ and the positions of $N$ beehives, output how many hives will produce sweet honey and how many hives will produce sour honey.

## Input

Input will be provided on multiple lines. There may be up to
$10$ test cases in the
input. Each case will begin with a floating point number
$d$ ($0 < d < 1000$), the distance
within which hives will fight, followed by an integer
$N$ ($1 \le N \le 100$), the number of
hives in that case. The next $N$ lines will contain two floating
point numbers separated by a single space, $x$ and $y$ ($-1000 \le x,y \le 1000$), which give
the position of each hive. No two hives will be at the exact
same location. Input will be terminated by a line containing
the string `0.0 0`.

## Output

For each case output a line of the following form:
`a sour, b sweet` where $a$ and $b$ are the number of hives producing
sour and sweet honey, respectively.

Sample Input 1 | Sample Output 1 |
---|---|

10.0 3 3.0 3.0 3.5 4.5 20.0 20.0 5.0 4 2.0 1.0 2.0 4.0 2.0 8.0 2.0 12.0 0.0 0 |
2 sour, 1 sweet 4 sour, 0 sweet |