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The k center problem is a mathematical optimization problem where the goal is to select k centers from a set of points in a way that minimizes the maximum distance between each point and its nearest center. This problem is important in various fields such as facility location and network design, where efficient clustering of points is needed.

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Q: What is the k center problem and how does it relate to optimizing the selection of k centers in a given set of points to minimize the maximum distance between each point and its nearest center?
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