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Learn Data Structures and Algorithms in JavaScript

Problem: Increasing Triplet Subsequence

Explore how to identify if an integer array contains a strictly increasing triplet subsequence by implementing an efficient linear-time algorithm. Learn to track minimal values during a single pass to solve the problem with constant space, enhancing your grasp of time and space optimization in searching algorithms.

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Statement

Given an integer array nums, determine whether there exist three indices (i, j, k) such that i < j < k and nums[i] < nums[j] < nums[k]. Return true if such a strictly increasing triplet subsequence exists, and false otherwise.

Note: Can you implement a solution that runs in O(n) time complexity and O(1) space complexity?

Constraints:

  • 1≤1 \leq nums.length ≤5×105\leq 5 \times 10^5 ...