Monotonic Array

An array is monotonic if it is either monotone increasing or monotone decreasing.

An array nums is monotone increasing if for all i <= j, nums[i] <= nums[j]. An array nums is monotone decreasing if for all i <= j, nums[i] >= nums[j].

You are given an integer array nums, return true if the given array is monotonic, or false otherwise.

Example 1:

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

Output: true

Example 2:

Input: nums = [6,5,4,4]

Output: true

Example 3:

Input: nums = [1,3,2]

Output: false

Constraints:

• 1 <= nums.length <= 100,000
• -100,000 <= nums[i] <= 100,000