search-in-rotated-sorted-array

Algorithms

Search in Rotated Sorted Array

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

Prior to being passed to your function, <code>nums</code> is possibly rotated 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> (0-indexed). 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>.

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

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

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

<ul>
	<li><code>1 &lt;= nums.length &lt;= 5000</code></li>
	<li><code>-104 &lt;= nums[i] &lt;= 104</code></li>
	<li>All values of <code>nums</code> are unique.</li>
	<li><code>nums</code> is an ascending array that is possibly rotated.</li>
	<li><code>-104 &lt;= target &lt;= 104</code></li>
</ul>

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