符合下列属性的数组 arr 称为 山峰数组(山脉数组) :
arr.length >= 3
存在 i(0 < i < arr.length - 1)使得:
arr[0] < arr[1] < … arr[i-1] < arr[i]
arr[i] > arr[i+1] > … > arr[arr.length - 1]
给定由整数组成的山峰数组 arr ,返回任何满足 arr[0] < arr[1] < … arr[i - 1] < arr[i] > arr[i + 1] > … > arr[arr.length - 1] 的下标 i ,即山峰顶部。
示例 1:
输入:arr = [0,1,0]
输出:1
示例 2:
输入:arr = [1,3,5,4,2]
输出:2
示例 3:
输入:arr = [0,10,5,2]
输出:1
示例 4:
输入:arr = [3,4,5,1]
输出:2
示例 5:
输入:arr = [24,69,100,99,79,78,67,36,26,19]
输出:2
提示:
3 <= arr.length <= 104
0 <= arr[i] <= 106
题目数据保证 arr 是一个山脉数组
进阶:很容易想到时间复杂度 O(n) 的解决方案,你可以设计一个 O(log(n)) 的解决方案吗?
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
public int peakIndexInMountainArray(int[] arr) {
if (arr == null || arr.length == 0) {
return -1;
}
int start = 0;
int end = arr.length - 1;
while (start <= end) {
if (start == end) {
return start;
}
if (start + 1 == end) {
return arr[start] > arr[end] ? start : end;
}
int mid = start + (end - start) / 2;
if (arr[mid - 1] < arr[mid] && arr[mid] > arr[mid + 1]) {
return mid;
} else if (arr[mid - 1] < arr[mid] && arr[mid] < arr[mid + 1]) {
start = mid;
} else {
end = mid;
}
}
return -1;
}
}
//leetcode submit region end(Prohibit modification and deletion)