Lines make polygons. Given N lines, please tell how many closed polygons are formed by these N straight lines and what is the largest and smallest area of them? Moreover, could you tell -th largest area?

输入描述:

The first line of input contains an integers N indicating the number of lines.
Following N lines each contains four space-separated integers  indicating two points on the i-th line.
The next line contains an integer M indicating the number of questions.
Following M lines each contains an integer .





No three lines intersect in one point
No two lines coincide
There is at least 1 closed polygon

输出描述:

First output a single line containing three numbers, the number of closed polygons, the largest area and the smallest area.
Then, output m lines each contains a number indicating -th largest area.
If  is greater than the number of polygons, output (without quotes) instead.
Your answer will be considered correct if its absolute or relative error doesn't exceed 

6
1 1 0 2
1 3 0 4
1 6 0 7
1 3 0 2
1 -1 0 -2
1 4 0 4
7
1
2
3
4
5
6
7

6 5.75 0.25
5.75
4.0
3.0
2.25
1.0
0.25
Invalid question