896. Monotonic Array

QUESTION:

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

EXPLANATION:

首先我们可以考虑到数组具体是升序的还是降序的,还有平等的,所以boolean类型的值不太合适,选用int类型的值来表示升降序。

1.如果一直是升序,出现降序就直接返回false

2.如果一直是降序,出现升序就直接返回false

那么代码就出来了。

SOLUTION:

class Solution {
    public boolean isMonotonic(int[] A) {
        if(A.length<=0)return true;
        int order = 0;
        int pre = A[0];
        for(int i = 1;i<A.length;i++){
            int tmp = A[i];
            if(tmp>pre && (order==0 || order == 1)){
                order = 1;
                pre = tmp;
                continue;
            }else if(tmp<pre && (order==0 || order==-1)){
                order=-1;
                pre=tmp;
                continue;
            }else if(tmp == pre){
                pre=tmp;
                continue;
            }
            return false;
        }
        return true;
    }
}
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