Minimize Max Distance to Gas Station
Explore how to minimize the maximum distance between gas stations by adding new stations optimally along a line. Understand and implement a modified binary search approach to find precise solutions within tight constraints, preparing you to tackle similar problem-solving challenges in coding interviews.
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Statement
You are given an integer array, stations, representing the positions of existing gas stations along the x-axis. You are also given an integer k, indicating the number of additional gas stations you must add. These new gas stations can be placed at any position along the x-axis, including non-integer locations.
A penalty is the maximum distance between two adjacent gas stations after placing the k new stations. Your task is to return the smallest possible value of this penalty. An answer is correct if it is within