Small Large Medium Triple

You are given a list of integers nums. Return whether there exist indices i < j < k such that nums[i] < nums[k] < nums[j].

In other words, three positions in order whose values go small, then large, then medium.

Examples

Example 1

Input: nums = [1,2,3,4]
Output: false

Example 2

Input: nums = [3,1,4,2]
Output: true
Explanation: nums[1] = 1 < nums[3] = 2 < nums[2] = 4.

Example 3

Input: nums = [-1,3,2,0]
Output: true
Explanation: nums[0] = -1 < nums[2] = 2 < nums[1] = 3.