Answer to Question #305211 in C++ for Mohit

Question #305211

The IIIT-Delhi robotics club has organized a Robothon. n robots are placed along

the edge of a circular area at the middle of the OAT. Each robot will move along arbitrary tracks

inside the circle while leaving behind a heat signature along its trail. However, they have been

programmed not to cross their own trail or the trail of another robot, neither will they ever move

out of the circle. In case a pair of robots i and j meet at any point, they are removed from the scene

and the club will pay a reward sum of M[i, j] to the owners of these robots. Note that some robots

can keep moving infinitely without ever meeting another one. Given the reward matrix M where

M[i, j] = M[j, i], design a polynomial time algorithm that determines the maximum money the

club might potentially end up spending. For this particular problem, give a very brief justification

of the recurrence.


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