Problem Link

Description


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].

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 <= 105
  • -105 <= nums[i] <= 105

Solution


Python3

class Solution:
    def isMonotonic(self, nums: List[int]) -> bool:
        N = len(nums)
 
        isIncreasing = None
 
        for i in range(1, N):
            if nums[i] == nums[i - 1]:
                continue
            elif nums[i] > nums[i - 1]:
                if isIncreasing is None:
                    isIncreasing = True
                elif not isIncreasing:
                    return False
            else:
                if isIncreasing is None:
                    isIncreasing = False
                elif isIncreasing:
                    return False
        
        return True