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Trionic Array I

Easy

You receive an integer array nums of length n.

An array is trionic if there exist indices 0 < p < q < n − 1 such that:

  • nums[0...p] is strictly increasing,

  • nums[p...q] is strictly decreasing,

  • nums[q...n − 1] is strictly increasing.

Find and provide true if nums is trionic, otherwise provide false.

Example 1

Input: nums = [1,3,5,4,2,6]

Output: true

Explanation: Pick p = 2, q = 4:

  • nums[0...2] = [1, 3, 5] is strictly increasing (1 < 3 < 5).

  • nums[2...4] = [5, 4, 2] is strictly decreasing (5 > 4 > 2).

  • nums[4...5] = [2, 6] is strictly increasing (2 < 6).

Example 2

Input: nums = [2,1,3]

Output: false

Explanation: There is no way to pick p and q to form the required three segments.

Constraints

  • 3 <= n <= 100
  • -1000 <= nums[i] <= 1000

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