33. Search in Rotated Sorted Array

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.

class Solution(object):
    def search(self, nums, target):
        """
        :type nums: List[int]
        :type target: int
        :rtype: int
        """

        def binary_search(low, high):
            if low > high:
                return -1
            mid = low + (high - low) / 2
            if nums[mid] == target:
                return mid
            if nums[mid] > nums[high]:
                if nums[low] <= target < nums[mid]:
                    return binary_search(low, mid - 1)
                return binary_search(mid + 1, high)
            if nums[mid] < target <= nums[high]:
                return binary_search(mid + 1, high)
            return binary_search(low, mid - 1)

        return binary_search(0, len(nums) - 1)

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