Competitions

# Геометрия - 1

# Intersection of two lines

Find the intersection point of two lines. Each line is given with the pair of points on it.

#### Input

Two lines are given. Each line contains four integers, not greater than **100** by absolute value - the coordinates of the points specifying the lines.

#### Output

Print in the first line **0** if lines do not intersect, print **1** if lines intersect in one point and print **2** if lines coincide. If the lines intersect each other and do not coincide, print in the second line the coordinates of intersection point with **7** digits after the decimal point.

Input example #1

1 0 2 2 0 1 1 2

Output example #1

1 3 4