Search in Rotated Sorted Array II
Difficulty: Medium
Category: DSA
Topics: Array, Binary Search
Asked at: Amazon
There is an integer array `nums` sorted in non-decreasing order (not necessarily with **distinct** values).
Before being passed to your function, `nums` is **rotated** at an unknown pivot index `k` (`0 <= 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, `[0,1,2,4,4,4,5,6,6,7]` might be rotated at pivot index `5` and become `[4,5,6,6,7,0,1,2,4,4]`.
Given the array `nums` **after** the rotation and an integer `target`, return `true`_ if _`target`_ is in _`nums`_, or _`false`_ if it is not in _`nums`_._
You must decrease the overall operation steps as much as possible.
**Example 1:**
**Input:** nums = [2,5,6,0,0,1,2], target = 0
**Output:** true
```
**Example 2:**
**Input:** nums = [2,5,6,0,0,1,2], target = 3
**Output:** false
```
**Constraints:**
- `1 <= nums.length <= 5000`
- `-104 <= nums[i] <= 104`
- `nums` is guaranteed to be rotated at some pivot.
- `-104 <= target <= 104`
**Follow up:** This problem is similar to Search in Rotated Sorted Array, but `nums` may contain **duplicates**. Would this affect the runtime complexity? How and why?