Zju2361 Area

时间限制:1s      空间限制:64MB

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

提示

请不要提交,手动测评.


题目来源

ZZY国家队作业