Solution: Minimize Max Distance to Gas Station
Understand how to place additional gas stations to minimize the largest gap between adjacent stations by using a binary search approach. This lesson guides you through applying a modified binary search over real numbers and calculating the number of stations required to ensure the maximum distance is as small as possible with high precision.
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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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