Search in Rotated Sorted Array

Suppose a sorted array is rotated at some pivot unknown to you beforehand.数组

(i.e., 4 5 6 7 0 1 2).网络

You are given a target value to search. If found in the array return its index, otherwise return -1.ide

You may assume no duplicate exists in the array.spa

【二分思路】.net

分状况讨论,数组可能有如下三种状况:code

来源网络:http://blog.csdn.net/ljiabin/article/details/40453607blog


而后,再看每一种状况中,target在左边仍是在右边,其中第一种状况还能够直接判断target有可能不在数组范围内。get

代码:it

int search(int* nums, int numsSize, int target) {
    int low=0;
    int high=numsSize-1;
    if(low>high)return -1;
    while(low<=high){
        int mid=(low+high)/2;
        if(nums[mid]==target)return mid;
        if(nums[low]<=nums[high]){
            if(nums[mid]>target)high=mid-1;
            else low=mid+1;
        }
        else if(nums[low]<=nums[mid]){
            if(target<nums[low]||target>nums[mid])low=mid+1;
            else high=mid-1;
        }
        else{
            if(target<nums[mid]||target>=nums[low])high=mid-1;
            else low=mid+1;
        }
    }
    return -1;
}
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