Ali is designing a round trip tour using a greedy rule. He is given a set of Cartesian coordinates of 20 points as follows
(60, 200), (180, 200), (80, 180), (140, 180), (20, 160), (100, 160), (200, 160), (140, 140), (40, 120), (100, 120), (180, 100), (60, 80), (120, 80), (180, 60), (20, 40), (100, 40), (200, 40), (20, 20), (60, 20), and (160, 20).
He needs to start his trip from one point, and visit the next nearest point, and come back to the starting point.
Whenever there is a tie, he needs to break the tie using a random rule. Write a R program to help Ali to design such round trip and report the corresponding distance of the round trip.
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