Longest Subarray having Majority Elements Greater Than K

In this video, we explore the problem of finding the longest subarray in which the count of elements greater than a given integer k is more than the count of elements less than or equal to k. We begin by discussing the naive approach that iterates over all subarrays, calculating the difference between the number of elements greater and smaller than k. We then use an optimized solution that leverages a hash map to track the prefix sum of the array, allowing us to find the longest subarray efficiently. This approach works in O(n) time and is space-efficient.

Next, we delve into the implementation of the solution using a hash map. By converting elements greater than k to 1 and elements less than or equal to k to -1, we transform the problem into finding the longest subarray with a positive sum. The video demonstrates how to calculate this using the prefix sum technique and hash map to store the first occurrence of each prefix sum, resulting in the desired solution. With this approach, we can solve the problem efficiently even for larger arrays.

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