Longest Subarray with Bounded Prefix Sum Difference

Problem Statement

Longest Subarray with Bounded Prefix Sum Difference Problem Description To optimize storage allocation for a data processing system, you need to analyze the sizes of data segments to maintain efficient usage. You are given an array of non-negative integers dataSizes , where each element represents the size of a data segment. Additionally, you are provided with a non-negative integer threshold . Your task is to find the maximum length of a contiguous subarray such that the difference between the sum of the subarray and the sum of the elements before this subarray (note that this difference is not taken in absolute terms, meaning it can be positive or negative) is less than or equal to threshold . In simpler terms, you need to identify the longest interval within dataSizes for which the condition: sum(interval) - sum(prefix before interval) <= threshold is satisfied. Return an integer representing the maximum length of such a subarray. If no such subarray exists, return 0. Examples Ex