# 81. Search in Rotated Sorted Array II

### Description

Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.

(i.e., `[0,0,1,2,2,5,6]` might become `[2,5,6,0,0,1,2]`).

You are given a target value to search. If found in the array return `true`, otherwise return `false`.

### Constraints

### Approach

### Links

* GeeksforGeeks
* [Leetcode](https://leetcode.com/problems/search-in-rotated-sorted-array-ii/)
* [ProgramCreek](https://www.programcreek.com/2014/06/leetcode-search-in-rotated-sorted-array-ii-java/)
* YouTube

### **Examples**

{% tabs %}
{% tab title="Example 1" %}
**Input:** nums = \[2, 5, 6, 0, 0, 1, 2], target = 0

**Output:** true
{% endtab %}

{% tab title="Example 2" %}
**Input:** nums = \[2, 5, 6, 0, 0, 1, 2], target = 3

**Output:** false
{% endtab %}
{% endtabs %}

### **Solutions**

{% tabs %}
{% tab title="Solution 1" %}

```java
/**
 * Time complexity : O(n)
 * Space complexity : O(1)
 */

class Solution {
    public boolean search(int[] nums, int target) {
        for(int i = 0; i < nums.length; i++) {
            if(nums[i] == target) return true;
        }
        return false;
    }
}
```

{% endtab %}

{% tab title="Solution 2" %}

```java
/**
 * Time complexity : O(logN)
 * Space complexity : O(1)
 */

class Solution {
    public boolean search(int[] nums, int target) {
        int left = 0, right = nums.length-1;
        while(left <= right) {
            int mid = left + (right-left)/2;
            if(target == nums[mid]) return true;
            if(nums[left] < nums[mid]) {
                if(target >= nums[left] && target <= nums[mid]) {
                    right = mid - 1;
                } else {
                    left = mid + 1;
                }
            } else if(nums[left] > nums[mid]) {
                if(target >= nums[mid] && target <= nums[right]) {
                    left = mid + 1;
                } else {
                    right = mid - 1;
                }
            } else {
                left++;
            }
        }
        return false;
    }
}
```

{% endtab %}
{% endtabs %}

### **Follow up**

* This is a follow up problem to [Search in Rotated Sorted Array](https://leetcode.com/problems/search-in-rotated-sorted-array/description/), where `nums` may contain duplicates.
* Would this affect the run-time complexity? How and why?


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