Question: Show that if a polygon with has O ( 1 ) turn vertices ( start / end / split / merge vertices ) , then

Show that if a polygon with has O(1) turn vertices (start/end/split/merge vertices), then the triangulation algorithm that we studied (monotone decomposition + monotone triangulation) can be made to run in O(n) time. (Hint: Our monotone decomposition plane-sweep algorithm starts with a sort. You should probably start by tackling there.)

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