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Problem: Increasing Triplet Subsequence

Explore how to identify an increasing triplet subsequence in an integer array by using a greedy single-pass scanning method. Understand how to maintain two variables that track the smallest and second smallest elements to efficiently confirm if such a sequence exists, running in O(n) time and O(1) space complexity.

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 ...