题目链接:Search in Rotated Sorted Array II
Follow up for "Search in Rotated Sorted Array":
What if duplicates are allowed?
Would this affect the run-time complexity? How and why?
Write a function to determine if a given target is in the array.
这道题的要求是在Search in Rotated Sorted Array的基础上允许数组中出现重复元素。
这道题是Search in Rotated Sorted Array的扩展,允许数组中出现重复元素。
思路类似,只不过当A[l] == A[m]的时候,无法判断左侧是否旋转,因此需要遍历l到m之间的元素进行查找,这样,最差的时间复杂度为O(n)。
时间复杂度:O(logn)
空间复杂度:O(1)
1 class Solution
2 {
3 public:
4 bool search(int A[], int n, int target)
5 {
6 int l = 0, r = n - 1;
7 while(l <= r)
8 {
9 int m = (l + r) / 2;
10 if(A[m] == target)
11 return true;
12 if(A[l] == A[m])
13 {
14 for(int i = l; i < m; ++ i)
15 if(A[i] == target)
16 return true;
17 l = m + 1;
18 }
19 else if(A[l] < A[m])
20 {
21 if(A[l] <= target && target < A[m])
22 r = m - 1;
23 else
24 l = m + 1;
25 }
26 else
27 {
28 if(A[m] < target && target <= A[r])
29 l = m + 1;
30 else
31 r = m - 1;
32 }
33 }
34
35 return false;
36 }
37 };