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Problem: Increasing Triplet Subsequence

Explore how to determine whether an array contains a strictly increasing triplet subsequence using a single pass linear time algorithm. Learn to maintain minimal variables to track potential subsequences, understand the approach's logic, and implement an optimal C++ solution with constant space usage.

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 5×105\leq 5 \times 10^5 ...