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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].

Return true if and only if the given array nums is monotonic.

 

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

Example 4:

Input: nums = [1,2,4,5]
Output: true

Example 5:

Input: nums = [1,1,1]
Output: true

 

Note:

  1. 1 <= nums.length <= 50000
  2. -100000 <= nums[i] <= 100000

class Solution { public boolean isMonotonic(int[] nums) { } }