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Increasing Triplet Subsequence

Given an integer array nums, return true if there exists a triple of indices (i, j, k) such that i < j < k and nums[i] < nums[j] < nums[k].

Given an integer array nums, return true if there exists a triple of indices (i, j, k) such that i < j < k and nums[i] < nums[j] < nums[k]. If no such indices exists, return false.

Increasing Triplet Subsequence diagram

Example 1

Input: nums = [1,2,3,4,5]

Output: true

Explanation: Any triplet where i < j < k is valid.

Example 2

Input: nums = [5,4,3,2,1]

Output: false

Explanation: No triplet exists.

Example 3

Input: nums = [2,1,5,0,4,6]

Output: true

Explanation: The triplet (3, 4, 5) is valid because nums[3] == 0 < nums[4] == 4 < nums[5] == 6.

Constraints

  • 1 <= nums.length <= 5 * 10^5
  • -231 <= nums[i] <= 231 - 1

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