标签：style blog http java color os
题目：
Suppose a sorted array is rotated at some pivot unknown to you beforehand.
(i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).
You are given a target value to search. If found in the array return its index, otherwise return -1.
You may assume no duplicate exists in the array.
题解：
这道题是一道常见的二分查找法的变体题。
要解决这道题，需要明确rotated sorted array的特性，那么就是至少有一侧是排好序的（无论pivot在哪，自己画看看）。接下来就只需要按照这个特性继续写下去就好。以下就以伪代码方法来说明：
- 如果target比A[mid]值要小
- 如果A[mid]右边有序（A[mid]<A[high])
- 那么target肯定不在右边（target比右边的都得小），在左边找
- 如果A[mid]左边有序
- 那么比较target和A[low]，如果target比A[low]还要小，证明target不在这一区，去右边找；反之，左边找。
- 如果target比A[mid]值要大
- 如果A[mid]左边有序（A[mid]>A[low]）
- 那么target肯定不在左边（target比左边的都得大），在右边找
- 如果A[mid]右边有序
- 那么比较target和A[high]，如果target比A[high]还要大，证明target不在这一区，去左边找；反之，右边找。
以上实现代码如下所示：
1 public int search(
int [] A,
int target){
2 if(A==
null||A.length==0)
3 return -1;
4 5 int low = 0;
6 int high = A.length-1;
7 8 while(low <= high){
9 int mid = (low + high)/2;
10 if(target < A[mid]){
11 if(A[mid]<A[high])
//right side is sorted
12 high = mid - 1;
//target must in left side
13 else14 if(target<A[low])
//target<A[mid]&&target<A[low]==>means,target cannot be in [low,mid] since this side is sorted
15 low = mid + 1;
16 else 17 high = mid - 1;
18 }
else if(target > A[mid]){
19 if(A[low]<A[mid])
//left side is sorted
20 low = mid + 1;
//target must in right side
21 else22 if(target>A[high])
//right side is sorted. If target>A[high] means target is not in this side
23 high = mid - 1;
24 else25 low = mid + 1;
26 }
else27 return mid;
28 }
29 30 return -1;
31 }
Reference:http://www.cnblogs.com/ider/archive/2012/04/01/binary_search.html
Search in Rotated Sorted Array leetcode java,布布扣,bubuko.com
Search in Rotated Sorted Array leetcode java
标签：style blog http java color os
原文地址：http://www.cnblogs.com/springfor/p/3858140.html
