+Three distinct points are plotted at random on a Cartesian plane, for which -1000 x, y 1000, such that a triangle is formed.

+Consider the following two triangles:

+A(-340,495), B(-153,-910), C(835,-947)

+X(-175,41), Y(-421,-714), Z(574,-645)

+It can be verified that triangle ABC contains the origin, whereas triangle XYZ does not.

+Using triangles.txt (right click and 'Save Link/Target As...'), a 27K text file containing the co-ordinates of one thousand "random" triangles, find the number of triangles for which the interior contains the origin.

+NOTE: The first two examples in the file represent the triangles in the example given above.