231. Increasing Triplet Subsequence

Medium
Greedy Thresholds
Array

Problem

Given an integer array nums, return true if there exist indices i < j < k such that nums[i] < nums[j] < nums[k]. Otherwise return false.

Examples

Example 1

Input: [1,2,3,4,5]
Output: true

Example 2

Input: [5,4,3,2,1]
Output: false

Example 3

Input: [2,1,5,0,4,6]
Output: true
Constraints

1 <= nums.length <= 500000

-2147483648 <= nums[i] <= 2147483647

Hints

?? Track the smallest value seen so far.

?? Track the smallest possible second value greater than the first.

?? Any later value larger than both proves that a triplet exists.

Expected Complexity
Time: O(n)
Space: O(1)
Follow-up

Can you solve it in O(n) time and O(1) extra space?

Practice Notes

Attempts: 0

Time spent: 0min

Hints used: 0

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Case 1
Case 2
Case 3
Input
[1,2,3,4,5]
Expected
true