Maximizing 1s with a Single Flip: An Elegant Application of Kadane's Algorithm

Have you ever encountered an algorithmic problem that seems to require a brute-force approach, only to realize it can be transformed into a classic computer science pattern? The "Maximum Ones after at most 1 flip" problem is a perfect example of this. Instead of checking every possible subarray to flip (which would take a sluggish O(N^2) time), we can reframe the problem and solve it in a blistering O(N) time using Kadane’s Algorithm . Here is a breakdown of the problem, the core intuition, and