CF933C.A Colourful Prospect
普及/提高-
通过率:0%
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题目描述
Firecrackers scare Nian the monster, but they're wayyyyy too noisy! Maybe fireworks make a nice complement.
Little Tommy is watching a firework show. As circular shapes spread across the sky, a splendid view unfolds on the night of Lunar New Year's eve.
A wonder strikes Tommy. How many regions are formed by the circles on the sky? We consider the sky as a flat plane. A region is a connected part of the plane with positive area, whose bound consists of parts of bounds of the circles and is a curve or several curves without self-intersections, and that does not contain any curve other than its boundaries. Note that exactly one of the regions extends infinitely.
输入格式
The first line of input contains one integer n ( 1<=n<=3 ), denoting the number of circles.
The following n lines each contains three space-separated integers x , y and r ( −10<=x,y<=10 , 1<=r<=10 ), describing a circle whose center is (x,y) and the radius is r . No two circles have the same x , y and r at the same time.
输出格式
Print a single integer — the number of regions on the plane.
输入输出样例
输入#1
3 0 0 1 2 0 1 4 0 1
输出#1
4
输入#2
3 0 0 2 3 0 2 6 0 2
输出#2
6
输入#3
3 0 0 2 2 0 2 1 1 2
输出#3
8
说明/提示
For the first example,
For the second example,
For the third example,