Minimize Max Distance to Gas Station
Explore how to minimize the largest gap between gas stations by strategically adding new stations using modified binary search. This lesson guides you through problem analysis, constraint handling, and implementing an optimized solution to find the smallest possible maximum distance.
We'll cover the following...
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