2873. Maximum Value of an Ordered Triplet I | Leetcode Daily - Python

Dive into LeetCode problem 2873, "Maximum Value of an Ordered Triplet I," with this comprehensive explanation! We break down the task of finding the largest possible value from the expression `(nums[I] - nums[j]) * nums[k]` where the indices `i`, `j`, and `k` must be in strictly increasing order within the input array `nums`. Starting with a straightforward brute-force method involving three nested loops (O(N^3)), we analyze its limitations. We then improve upon this by introducing a faster O(N) time approach using precomputed prefix and suffix maximum arrays, though this requires O(N) space. Finally, we unveil the optimal O(N) time and O(1) space solution, achieved through a single pass that cleverly maintains the maximum element encountered so far and the maximum difference `(max_element - current_element)`. This video walks through examples, compares the different strategies, and highlights the key logic, including the constraint that the final result must be non-negative (at least 0).

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