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Problem: Increasing Triplet Subsequence

Explore how to identify an increasing triplet subsequence in an integer array by using a single linear pass with constant space. Understand the logic of maintaining two markers to track potential increasing sequences and apply O(n) time complexity solutions to improve code efficiency.

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 ...