932. Monotonic Array

  • Difficulty: Easy

  • Topics: Array

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Problem:

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

Solutions:

class Solution {
public:
    bool isMonotonic(vector<int>& A) {
        if (A.size() <= 2)  return true;
        int cmp = 0;
        for (int i = 1; i < A.size(); ++i) {
            if (A[i] == A[i-1]) continue;
            if (A[i] > A[i-1]) {
                if (cmp == -1)  return false;
                cmp = 1;
            } else {
                if (cmp == 1)   return false;
                cmp = -1;
            }
        }

        return true;
    }
};

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