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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].

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.

132 Pattern diagram

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 * 10^5
  • -10^9 <= nums[i] <= 10^9

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