leetcode_33_Search in Rotated Sorted Array

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Search in Rotated Sorted Array

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.

class Solution {
public:
    int search(vector<int>& nums, int target) {
        if(nums.size() == 0)
            return -1;
        if(nums.size() == 1)
            if(nums[0] == target)
                return 0;
            
        int left = 0;
        int right = nums.size()-1;
        int mid = (right + left) / 2;
        int ans = -1;
        while(left < right)
        {
            mid = (right + left) / 2;
            if(nums[mid] == target)
            {
                return mid;
            }
            else if(right - left == 1)
            {
                if(nums[right] == target)
                    ans = right;
                break;
            }
            else if(nums[mid] > nums[left])
            {
                if(nums[mid] > target && nums[left] <= target) //[3,5,1], 1; output:-1; expected:2。nums[left] <= target条件忘了给,而且要给=号
                    right = mid;
                else
                    left = mid;
            }
            else if(nums[mid] < nums[right])
            {
                if(nums[mid] < target && nums[right] >= target) //nums[right] >= target条件忘了给,而且要给=号
                    left = mid;
                else
                    right = mid;
            }
        }
        
        return ans;
    }
};


 
 
//方法一:自测Accepted
//observation is the key, try to solve it by modifying binary search 
class Solution {
public:
    int search(int A[], int n, int target) {
        if( n==0 )
			return -1;
        int mid = 0;
		int left=0, right=n-1;
		while( left <= right)
		{
			mid = left + (right-left)/2 ;
			if(A[mid] == target)
				return mid;
			if( A[left] <= A[mid] ) //left side sorted, including mid, it is sorted in [l,mid]
			{
				if( A[mid] > target && A[left] <= target )
					right = mid - 1;
				else
					left = mid + 1;
			}
			else if ( A[mid] <= A[right] ) //right side sorted, [mid,r] must be sorted, if [l,mid] not sorted
			{
				if ( A[mid] < target && A[right] >= target )
					left = mid + 1;
				else
					right = mid - 1;
			}
		}
		return -1;
    }
};

//方法二:其他版本
class Solution {
public:
    int search(int A[], int n, int target) {
        int left = 0; 
        int right = n-1;
        while(left < right)
        {
            int mid = left+(right-left)/2;
            if(A[mid] >= A[left])//left side sorted, including mid,
            {
                if(A[left] <= target && target <= A[mid]) right = mid;
                else left = mid+1;
            }
            else//right side sorted
            {
                if(A[mid] <= target && target <= A[right]) left = mid;
                else right = mid-1;
            }
        }
        if(right >= 0 && right < n && A[right] == target) return right;
        else return -1;
    }
};


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