Solution: Minimize Max Distance to Gas Station
Explore how to solve the problem of minimizing the maximum gap between gas stations by placing additional stations using a modified binary search technique. Understand how to apply binary search on continuous ranges, calculate station placement, and achieve precision within 10^-6. This lesson helps you develop a methodical approach to partition gaps optimally and understand the tradeoffs involved.
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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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