<p>There is an integer array <code>nums</code> sorted in ascending order (with <strong>distinct</strong> values).</p>

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

<p>Given the array <code>nums</code> <strong>after</strong> the possible rotation and an integer <code>target</code>, return <em>the index of </em><code>target</code><em> if it is in </em><code>nums</code><em>, or </em><code>-1</code><em> if it is not in </em><code>nums</code>.</p>

<p>You must write an algorithm with <code>O(log n)</code> runtime complexity.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre><strong>Input:</strong> nums = [4,5,6,7,0,1,2], target = 0
<strong>Output:</strong> 4
</pre><p><strong class="example">Example 2:</strong></p>
<pre><strong>Input:</strong> nums = [4,5,6,7,0,1,2], target = 3
<strong>Output:</strong> -1
</pre><p><strong class="example">Example 3:</strong></p>
<pre><strong>Input:</strong> nums = [1], target = 0
<strong>Output:</strong> -1
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= nums.length &lt;= 5000</code></li>
	<li><code>-10<sup>4</sup> &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>
	<li>All values of <code>nums</code> are <strong>unique</strong>.</li>
	<li><code>nums</code> is an ascending array that is possibly rotated.</li>
	<li><code>-10<sup>4</sup> &lt;= target &lt;= 10<sup>4</sup></code></li>
</ul>

class Solution:
    def search(self, nums: List[int], target: int) -> int:
        n = len(nums)
        left, right = 0, n - 1
        while left <= right:
            mid = left + (right - left) // 2

            # Case 1: find target
            if nums[mid] == target:
                return mid

            # Case 2: subarray on mid's left is sorted
            elif nums[mid] >= nums[left]:
                if target >= nums[left] and target < nums[mid]:
                    right = mid - 1
                else:
                    left = mid + 1

            # Case 3: subarray on mid's right is sorted.
            else:
                if target <= nums[right] and target > nums[mid]:
                    left = mid + 1
                else:
                    right = mid - 1
        return -1

                    

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