Monotonic Array

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

Solution:

class Solution {
    public boolean isMonotonic(int[] A) {
        if (A.length <= 1) return true;
        int prev = A[0];
        boolean up = false;
        boolean down = false;
        for (int i = 1; i < A.length; i ++) {
            int curr = A[i];
            if (prev == curr) continue;
            if (prev > curr) {
                down = true;
                if (up) return false;
            } else {
                up = true;
                if (down) return false;
            }
            prev = curr;
        }
        return true;
    }
}