Solution: Magnetic Force Between Two Balls

Explore how to solve the problem of maximizing the minimum magnetic force between balls placed in baskets by applying sorting and a binary search approach. Understand the strategy to use binary search on the gap between balls and a helper function to verify placement feasibility, improving your efficiency with search and sort patterns in coding challenges.

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Statement
Solution
- Time complexity
- Space complexity

Statement

In the universe Earth C-137, Rick has discovered a unique type of magnetic force between two balls when placed in his newly invented baskets. He has $n$ baskets, each located at specific positions given by the array position[i]. Morty has m balls and needs to distribute these balls across the baskets in such a way that the minimum magnetic force between any two balls is as large as possible.

The magnetic force between two balls placed at positions $x$ and $y$ is calculated as the absolute difference $|x−y|$ .

Given an integer array position and the number of balls m, return the maximum possible value of the minimum magnetic force between any two balls after they have been placed in the baskets.

Constraints:

$2 \leq$ position.length $\leq 10^3$ ...