leetcode 33. Search in Rotated Sorted Array (无重复数的旋转数组找定值)

Suppose an array sorted in ascending order 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.

思路:找规律。。。二分。。。

0 1 2 3 4 5 6
1 2 3 4 5 6 0
2 3 4 5 6 0 1
3 4 5 6 0 1 2
4 5 6 0 1 2 3
5 6 0 1 2 3 4
6 0 1 2 3 4 5

观察发现。。。a[mid]<a[r]的时候,后半段有序;

a[mid]>a[r]的时候,前半段有序。。

然后根据有序区间的端点值,确定tar是在该有序区间,还是在另一半区间。

1/* ***********************************************
2Author :111qqz
3Created Time :2017年04月13日 星期四 14时17分03秒
4File Name :33.cpp
5************************************************ */
6class Solution {
public:
 1    int bin(int n,int tar,vector<int>& nums)
 2    {
 3	int l = 0 ;
 4	int r = n-1;
 5	while (l<=r)
 6	{
 7	    int mid = (l+r)>>1;
 8	    if (nums[mid]==tar) return mid;
 9	    if (nums[mid]<nums[r])
10	    {
11		if (nums[mid]<tar && tar<=nums[r]) l = mid + 1;
12		else r = mid -1;
13	    }
14	    else
15	    {
16		if (nums[l]<=tar && tar < nums[mid]) r = mid - 1;
17		else l = mid + 1;
18	    }
19	}
20	return -1;
21    }
1    int search(vector<int>& nums, int target) {
2    int n = nums.size();
3    int res = bin(n,target,nums);
4    return res;
    }

};