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）

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.

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.