Given two lines, check if they intersect each other, and if yes, find point of intersection. Input data format specification: First line contains four floating point numbers x1, y1, x2, y2, describing two points first line goes through. Then second line described in the same way. Output data format specification: If lines intersect, and there's only one point of intersection, print coordinates of that point with exactly three digits after decimal point. If lines intersect, and number of points of intersection is finite, but larger than 0, print a single integer with number of points of intersection. If lines intersect, and number of points of intersection is infinite, print "INF" without quotes. If lines do not intersect, print "NONE" without quotes. Sample input: 0 3 1 3 5 5 5 6 Sample output: 5.000 3.000 Sample input: 1 1 2 2 4 4 15 15 Sample output: INF Sample input: 1 1 5 4 4 2 12 8 Sample output: NONE