Solution: Minimize Max Distance to Gas Station
Explore how to apply modified binary search to minimize the maximum distance between adjacent gas stations by strategically placing additional ones. Understand the problem constraints, implement a precision-based search for the smallest maximum gap, and evaluate the time and space complexity of this approach.
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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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