Assume you are given the black box ConvexHull. The black box takes as input a list of n coordinates in the plane. The black box then computes the convex hull of these points, and returns a list of the vertices of the convex hull in clockwise order starting at an arbitrary vertex.

Use the ConvexHull black box to design an algorithm that sorts a list of n distinct integers. Provide pseudocode for your algorithm, and a brief argument that your explanation is correct.

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DHAHL3seasons GP:73 G:121 A:55 Pts:176 GWG:12 +/-:184
UWSWA1season GP:9 G:12 A:8 Pts:20 GWG:3 +/-:-3
MCBHL1season GP:3 G:5 A:4 Pts:9 GWG:0 +/-:10

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