Solution: Minimize Max Distance to Gas Station
Understand how to apply a modified binary search to minimize the maximum distance between gas stations by efficiently placing new ones. Explore the problem setup, algorithm design, and precision control to find the optimal station placement, balancing constraints and complexity.
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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
Constraints:
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