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Robots want to find a location for a meeting that minimizes the sum of squared distances from their rooms to the location of the meeting.

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Robots want to find a location for a meeting that minimizes the sum of squared distances from their rooms to the location of the meeting. Assume for now that they can host the gathering at any location in the hallway. Assuming that the robots live in a 1-dimensional hallway, solve the following problems: Determine the gradient (write down/show your computation). Use it to find the optimal location popt for the meeting by setting the gradient equal to zero and solving

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