One way to determine whether a point p 0 is in the interior of a simple, but

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One way to determine whether a point p0 is in the interior of a simple, but not necessarily convex, polygon P is to look at any ray from p0 and check that the ray intersects the boundary of P an odd number of times but that p0 itself is not on the boundary of P. Show how to compute in Θ(n) time whether a point p0 is in the interior of an n-vertex polygon P. 

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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