132-pattern

132-pattern


Given an array of n integers nums, a 132 pattern is a subsequence of three integers nums[i], nums[j] and nums[k] such that i < j < k and nums[i] < nums[k] < nums[j].



Return true if there is a 132 pattern in nums, otherwise, return false.



 


Example 1:



Input: nums = [1,2,3,4]
Output: false
Explanation: There is no 132 pattern in the sequence.


Example 2:



Input: nums = [3,1,4,2]
Output: true
Explanation: There is a 132 pattern in the sequence: [1, 4, 2].


Example 3:



Input: nums = [-1,3,2,0]
Output: true
Explanation: There are three 132 patterns in the sequence: [-1, 3, 2], [-1, 3, 0] and [-1, 2, 0].


 


Constraints:




  • n == nums.length

  • 1 <= n <= 2 * 105

  • -109 <= nums[i] <= 109


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