
44  Andrew Stankevich's Contest, Warmup  1003
Consider N different circles on the plane. They divide it to several parts, you have to find the number of these parts. For the purpose of this problem the circle of radius r with center (x_{0}, y_{0}) is the set of points Input The input contains multiple test cases. The first line of the input is a single integer T (1 <= T <= 20) which is the number of test cases. T test cases follow, each preceded by a single blank line. The first line of each test case contains N  the number of circles (1 <= N <= 50). Next N lines contain three integer numbers x_{0}, y_{0}, and r each  the coordinates of the center and the radius of the circle. All coordinates do not exceed 10^{3} by their absolute value, all radii are positive and do not exceed 10^{3}. No two circles coincide. Output For each test case, output K  the number of parts circles divide the plane to, in a single line. Due to floating point precision losses possible, do not consider parts with area not exceeding 10^{10}. Sample Input 2 2 0 0 3 0 0 2 2 0 0 1 2 0 1 Sample Output 3 3 Author: Andrew Stankevich 