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[LeetCode] Search in Rotated Sorted Array

题目内容

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.

题目思路

这个题目是对常规的二分查找的一个变形。基本的思路就是用二分查找。但是区别在于:二分查找进行二分的条件是判断target和nums[mid]之间的大小;而这里进行二分的条件是更加复杂,不仅需要判断nums[mid]在数组的左半部分还是右半部分,而且要判断target和子数组两端元素的关系。

另外,此题的难点在于边界条件的把握,什么时候取等号需要认真考虑。

Python代码

class Solution(object):    def search(self, nums, target):        """        :type nums: List[int]        :type target: int        :rtype: int        """        if nums==[]:            return -1        end=len(nums)-1        start=0        while start<=end:            mid=(start+end)/2            if nums[mid]==target:                return mid            if nums[mid]>=nums[start]:                if nums[start]<=target and target<nums[mid]:                    end=mid                else:                    start=mid+1            else:                if nums[end]>=target and nums[mid]<target:                    start=mid+1                else:                    end=mid        return -1         

 

[LeetCode] Search in Rotated Sorted Array