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Learn Data Structures and Algorithms in Java

Problem: Increasing Triplet Subsequence

Explore how to determine if an array contains a strictly increasing triplet subsequence by scanning once through the array while tracking two variables. Understand how to implement an efficient O(n) time and O(1) space solution using a greedy approach to maintain the smallest and second smallest values to identify the increasing sequence.

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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 ...