One way to estimate the area of a circle is to draw a square
that just encompasses the circle and mark points randomly (with
uniform probability) with a marker. Then, when you get tired of
marking points, count up the number of points that you marked
that landed in the circle and divide it by the total number of
points that you marked. That gives you an idea of how large the
circle is relative to the square. Your job is to judge how
accurate this is for given circles and experiment outcomes.
Input
Input contains up to $1\,
000$ test cases, one test case per line. Each line has
three spaceseparated numbers: $r\ m\ c$, where $0 < r \le 1\, 000$ is a real
number with at most $5$
digits past the decimal indicating the true radius of the
circle, $1 \le m \le 100\,
000$ is an integer indicating the total number of marked
points, and $0 \le c \le
m$ is an integer indicating the number of marked points
that fall in the circle. Input ends with a line containing
three zeros, which should not be processed.
Output
For each test case, print a line containing two numbers: the
true area of the circle and the estimate according to the
experiment. Both numbers may have a relative error of at most
$10^{5}$.
Sample Input 1 
Sample Output 1 
1.0 100 75
10.0 5000 4023
3.0 21 17
0 0 0

3.141592654 3
314.1592654 321.84
28.27433388 29.14285714
