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README.md

Search in Rotated Sorted Array

Problem Statement:

There is an integer array nums sorted in ascending order (with distinct values).

Prior to being passed to your function, nums is possibly rotated at an unknown pivot index k (1 <= k < nums.length) such that the resulting array is [nums[k], nums[k+1], ..., nums[n-1], nums[0], nums[1], ..., nums[k-1]] (0-indexed). For example, [0,1,2,4,5,6,7] might be rotated at pivot index 3 and become [4,5,6,7,0,1,2].

Given the array nums after the possible rotation and an integer target, return the index of target if it is in nums, or -1 if it is not in nums.

You must write an algorithm with O(log n) runtime complexity.

Example 1:

Input: nums=[4,5,6,7,0,1,2]

target:4

Output:4

Example 2:

Input: nums=[4,5,6,7,0,1,2]

target: 3

Output:-1

Solution:

To find the target element .in log(N) time.We have to use a Binary search function.But it only works on Sorted array. Because our list is rotated , it is not sorted anymore. So we have to make a slight change in binary search function.

Changes in Code snippet

            if nums[mid] == target:
                return mid
            elif nums[low] > nums[mid]://Reassign the variables if the array is not sorted
                if nums[mid] < target and nums[high] >= target:
                    low = mid + 1
                else:
                    high = mid - 1
            elif nums[low] <= nums[mid]:
                if nums[low] <= target and nums[mid] > target:
                    high = mid - 1
                else:
                    low = mid + 1