Description

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

  • 二分查找
  • 有两个关键,由于数组经过旋转过,所以应该先判断mid落在前半段还是后半段
  • 然后再根据target的大小判断怎么缩小范围

代码

class Solution {
public:
   int search(vector<int>& nums, int target) {
        int len = nums.size();
        if (len == 0) return -1;
        
        int low = 0, high = len - 1, mid = 0;
        while (low <= high){
            mid = low + (high - low) / 2;

            if (nums[mid] == target) return mid;

            //落在前半段
            if (nums[mid] >= nums[low]){
                //落在前半段的前半段
                if (nums[low] <= target && target < nums[mid])
                    high = mid - 1;
                else low = mid + 1;
                
            }
            else{
                //落在后半段的后半段
                if (nums[mid] < target && target <= nums[high])
                    low = mid + 1;
                else high = mid - 1;
            }
        }

        return -1;
    }
};
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