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| 1 | +<p>Suppose an array of length <code>n</code> sorted in ascending order is <strong>rotated</strong> between <code>1</code> and <code>n</code> times. For example, the array <code>nums = [0,1,2,4,5,6,7]</code> might become:</p> |
| 2 | + |
| 3 | +<ul> |
| 4 | + <li><code>[4,5,6,7,0,1,2]</code> if it was rotated <code>4</code> times.</li> |
| 5 | + <li><code>[0,1,2,4,5,6,7]</code> if it was rotated <code>7</code> times.</li> |
| 6 | +</ul> |
| 7 | + |
| 8 | +<p>Notice that <strong>rotating</strong> an array <code>[a[0], a[1], a[2], ..., a[n-1]]</code> 1 time results in the array <code>[a[n-1], a[0], a[1], a[2], ..., a[n-2]]</code>.</p> |
| 9 | + |
| 10 | +<p>Given the sorted rotated array <code>nums</code> of <strong>unique</strong> elements, return <em>the minimum element of this array</em>.</p> |
| 11 | + |
| 12 | +<p>You must write an algorithm that runs in <code>O(log n) time</code>.</p> |
| 13 | + |
| 14 | +<p> </p> |
| 15 | +<p><strong class="example">Example 1:</strong></p> |
| 16 | + |
| 17 | +<pre> |
| 18 | +<strong>Input:</strong> nums = [3,4,5,1,2] |
| 19 | +<strong>Output:</strong> 1 |
| 20 | +<strong>Explanation:</strong> The original array was [1,2,3,4,5] rotated 3 times. |
| 21 | +</pre> |
| 22 | + |
| 23 | +<p><strong class="example">Example 2:</strong></p> |
| 24 | + |
| 25 | +<pre> |
| 26 | +<strong>Input:</strong> nums = [4,5,6,7,0,1,2] |
| 27 | +<strong>Output:</strong> 0 |
| 28 | +<strong>Explanation:</strong> The original array was [0,1,2,4,5,6,7] and it was rotated 4 times. |
| 29 | +</pre> |
| 30 | + |
| 31 | +<p><strong class="example">Example 3:</strong></p> |
| 32 | + |
| 33 | +<pre> |
| 34 | +<strong>Input:</strong> nums = [11,13,15,17] |
| 35 | +<strong>Output:</strong> 11 |
| 36 | +<strong>Explanation:</strong> The original array was [11,13,15,17] and it was rotated 4 times. |
| 37 | +</pre> |
| 38 | + |
| 39 | +<p> </p> |
| 40 | +<p><strong>Constraints:</strong></p> |
| 41 | + |
| 42 | +<ul> |
| 43 | + <li><code>n == nums.length</code></li> |
| 44 | + <li><code>1 <= n <= 5000</code></li> |
| 45 | + <li><code>-5000 <= nums[i] <= 5000</code></li> |
| 46 | + <li>All the integers of <code>nums</code> are <strong>unique</strong>.</li> |
| 47 | + <li><code>nums</code> is sorted and rotated between <code>1</code> and <code>n</code> times.</li> |
| 48 | +</ul> |
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