16 lines
682 B
Markdown
16 lines
682 B
Markdown
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Three distinct points are plotted at random on a Cartesian plane, for which `-1000 <= x,y <= 1000`, such that a triangle is formed.
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Consider the following two triangles:
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~~~
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A(-340,495), B(-153,-910), C(835,-947)
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X(-175,41), Y(-421,-714), Z(574,-645)
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~~~
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It can be verified that triangle ABC contains the origin, whereas triangle XYZ does not.
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Using [triangles.txt](https://projecteuler.net/project/resources/p102_triangles.txt), a 27K text file containing the co-ordinates
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of one thousand "random" triangles, find the number of triangles for which the interior contains the origin.
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NOTE: The first two examples in the file represent the triangles in the example given above.
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