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[896] Monotonic Array

https://leetcode.com/problems/monotonic-array/description/

  • algorithms
  • Easy (54.29%)
  • Source Code: 896.monotonic-array.py
  • Total Accepted: 38.1K
  • Total Submissions: 69.4K
  • Testcase Example: '[1,2,2,3]'

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

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

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

Example 1:

Input: [1,2,2,3] Output: true

Example 2:

Input: [6,5,4,4] Output: true

Example 3:

Input: [1,3,2] Output: false

Example 4:

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

Example 5:

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

Note:

1 <= A.length <= 50000
-100000 <= A[i] <= 100000
python
class Solution(object):
    def isMonotonic(self, A):
        """
        :type A: List[int]
        :rtype: bool
        """
        lena = len(A)
        if lena <= 1: return True

        idm = 0  # 0: unknown, 1: increasing, 2: decreasing

        for i in range(1, lena):
            if A[i] > A[i-1]:
                if idm == 2:
                    return False
                idm = 1

            if A[i] < A[i-1]:
                if idm == 1:
                    return False
                idm = 2

        return True

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