Solution: Minimize Max Distance to Gas Station
Explore how to reduce the maximum distance between adjacent gas stations by strategically placing new stations using a modified binary search method. Understand how to calculate gaps, implement a precision-based search over a continuous range, and optimize station placement to achieve the smallest possible distance.
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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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