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Description:
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
题意:给定一个数组,判断这个数组是否是单调的,可以是递增或者递减,但不是严格的单调,及元素可以相等;
解法:因为我们不知道数组是符合递增还是递减的,所以我们需要遍历两次数组是否符合递增或者递减中的一种情况;需要注意的是,对于数组[1,1,1,1]来说,不仅符合递增而且符合递减;
class Solution {
public boolean isMonotonic(int[] A) {
if (A.length == 1) {
return true;
}
int len = 1;
while(len < A.length && A[len] >= A[len - 1]) {
len++;
}
if (len == A.length) {
return true;
}
len = 1;
while(len < A.length && A[len] <= A[len - 1]) {
len++;
}
if (len == A.length) {
return true;
}
return false;
}
}