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Problem: Increasing Triplet Subsequence

Explore how to determine if an integer array contains a strictly increasing triplet subsequence using an efficient linear scan approach. Understand how maintaining two tracking variables allows you to find such sequences in O(n) time and O(1) space complexity, enhancing your problem-solving skills with searching algorithms.

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:

  • 11 \leq nums.length ...