输入描述:

The first line contains an integer  (), denoting the number of vertices of the first convex polygon. Then follows n lines, each line contains two integers ,  (), denoting the th point of the convex polygon. The points are given in counter-clockwise order.

Then follows an integer  (), and then  lines, denoting the second polygon. The format and restrictions are the same as above.

The last line contains four integers  (). The velocity of the first polygon is  and the velocity of the second polygon is .

输出描述:

Output a single real number , indicating how many units of time they collided after the initial state. If the two convex polygons collide at the initial state, print . If they will never collide, print .

Your answer will be judged to be correct if the relative or absolute error with the jury's answer is less than or equal to .

3
0 0
1 1
0 1
3
0 0
-1 -1
0 -1
1 1 -1 -1

0

4
0 0
1 0
1 1
0 1
4
0 3
1 3
1 4
0 4
1 1 0 0

-1

4
0 0
1 0
1 1
0 1
4
0 2
1 2
1 3
0 3
0 0 -2 -2

0.5