Problem

A convex polygon is a polygon with the property that any line segment whose endpoints are...

A convex polygon is a polygon with the property that any line segment whose endpoints are on the polygon lies entirely within the polygon. The convex hull problem consists of finding the smallest (area) convex polygon that encloses a set of points in the plane. Figure 1 shows the convex hull for a set of 40 points. Give an O(N logN) algorithm to find the convex hull.

Figure 1: Example of a convex hull

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