题目

Given an array of integers arr, return true if and only if it is a valid mountain array.

Recall that arr is a mountain array if and only if:

  • arr.length >= 3
  • There exists some i with 0 < i < arr.length - 1 such that:
    • arr[0] < arr[1] < ... < arr[i - 1] < A[i]
    • arr[i] > arr[i + 1] > ... > arr[arr.length - 1]

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Example 1:

  1. Input: arr = [2,1]
  2. Output: false

Example 2:

  1. Input: arr = [3,5,5]
  2. Output: false

Example 3:

  1. Input: arr = [0,3,2,1]
  2. Output: true

Constraints:

  • 1 <= arr.length <= 10^4
  • 0 <= arr[i] <= 10^4

题意

判断数组是否满足前半段单调递增,后半段单调递减。

思路

从前往后找递增结束点,从后往前找递增结束点,判断是否重合且满足峰顶定义。


代码实现

Java

  1. class Solution {
  2. public boolean validMountainArray(int[] arr) {
  3. if (arr.length < 3) {
  4. return false;
  5. }
  6. int left = 1, right = arr.length - 2;
  7. while (left < arr.length - 1 && arr[left] > arr[left - 1] && arr[left + 1] > arr[left]) {
  8. left++;
  9. }
  10. while (right > 1 && arr[right] > arr[right + 1] && arr[right - 1] > arr[right]) {
  11. right--;
  12. }
  13. return left == right && arr[left] > arr[left - 1] && arr[left] > arr[left + 1];
  14. }
  15. }