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leetcode-problemset/leetcode-cn/problem (English)/搜索旋转排序数组(English) [search-in-rotated-sorted-array].html
2022-03-29 12:43:11 +08:00

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<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>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>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>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>