0%

LeetCode-Day12

假设按照升序排序的数组在预先未知的某个点上进行了旋转。

( 例如,数组 [0,1,2,4,5,6,7] 可能变为 [4,5,6,7,0,1,2] )。

搜索一个给定的目标值,如果数组中存在这个目标值,则返回它的索引,否则返回 -1 。

你可以假设数组中不存在重复的元素。

你的算法时间复杂度必须是 O(log n) 级别。

示例 1:

1
2
输入: nums = [4,5,6,7,0,1,2], target = 0
输出: 4

示例 2:

1
2
输入: nums = [4,5,6,7,0,1,2], target = 3
输出: -1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
class Solution {
public:
int recursion(vector<int>& nums, int target, int left, int right) {
if(left > right) {
cout << "left = " << left << " right = " << right << endl;
return -1;
}
int mid = (left + right) / 2;
cout << "mid = " << mid << endl;
if(nums[mid] == target) {
return mid;
}
// 说明中间还有旋转的节点
if(nums[left] > nums[right]) {
if(nums[mid] < nums[right]) {
if(target > nums[mid] && target <= nums[right]) {
return recursion(nums, target, mid + 1, right);
} else {
return recursion(nums, target, left, mid - 1);
}
} else {
if(target >= nums[left] && target < nums[mid]) {
return recursion(nums, target, left, mid - 1);
} else {
return recursion(nums, target, mid + 1, right);
}
}
} else {
if(target > nums[mid]) {
return recursion(nums, target, mid + 1, right);
} else {
return recursion(nums, target, left, mid - 1);
}
}
}

int search(vector<int>& nums, int target) {
return recursion(nums, target, 0, nums.size() - 1);
}
};

解释:

![img](file:///C:\Users\12751\Documents\Tencent Files\1275121799\Image\C2C{925CA362-2A67-B097-9365-B49D34CE9F8B}.png)