#866. 1870. Zju2361 Area

1870. Zju2361 Area

#1870. Zju2361 Area

题目描述

给出N条直线,问他们将一个无限大平面分成了多少份,每一份的面积是多少。

(N<=80,不考虑面积小于1e-8的多边形)

输入格式

The first line of the input file contains N

the number of lines (1 <= N <= 80).

Each of next N lines contains four integer numbers x1, y1, x2 and y2

- the coordinates of two different points of the line.

All coordinates do not exceed 102 by their absolute value. No two lines coincide.

输出格式

First output K - the number of finite parts among those the lines divide the plane to.

Next K lines of the output file must contain area parts sorted in non- decreasing order.

You answer must be accurate up to 10-4. Due to floating point precision losses possible,

do not consider parts with area not exceeding 10-8.

样例

样例输入

1  

5  

0 0 1 0  

1 0 1 1  

1 1 0 1  

0 1 0 0  

0 0 1 1

样例输出

2  

0.5000  

0.5000

数据范围与提示