Problem Description

Given two rectangles and the coordinates of two points on the diagonals of each rectangle, you have to calculate the area of the intersected part of two rectangles. Its sides are parallel to X-axis and Y-axis .

Input

The first line of input is 8 positive numbers which indicate the coordinates of four points that must be on each diagonal.The 8 numbers are $x_1,y_1,x_2,y_2,x_3,y_3,x_4,y_4$. That means the two points on the first rectangle are $(x_1,y_1),(x_2,y_2)$; the other two points on the second rectangle are $(x_3,y_3),(x_4,y_4)$.

Output

For each case output the area of their intersected part in a single line.accurate up to 2 decimal places.

Samples

1.00 1.00 3.00 3.00 2.00 2.00 4.00 4.00
5.00 5.00 13.00 13.00 4.00 4.00 12.50 12.50

1.00
56.25