<p>You are given an integer array <code>nums</code> containing <strong>distinct</strong> numbers, and you can perform the following operations <strong>until the array is empty</strong>:</p> <ul> <li>If the first element has the <strong>smallest</strong> value, remove it</li> <li>Otherwise, put the first element at the <strong>end</strong> of the array.</li> </ul> <p>Return <em>an integer denoting the number of operations it takes to make </em><code>nums</code><em> empty.</em></p> <p> </p> <p><strong class="example">Example 1:</strong></p> <pre> <strong>Input:</strong> nums = [3,4,-1] <strong>Output:</strong> 5 </pre> <table style="border: 2px solid black; border-collapse: collapse;"> <thead> <tr> <th style="border: 2px solid black; padding: 5px;">Operation</th> <th style="border: 2px solid black; padding: 5px;">Array</th> </tr> </thead> <tbody> <tr> <td style="border: 2px solid black; padding: 5px;">1</td> <td style="border: 2px solid black; padding: 5px;">[4, -1, 3]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">2</td> <td style="border: 2px solid black; padding: 5px;">[-1, 3, 4]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">3</td> <td style="border: 2px solid black; padding: 5px;">[3, 4]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">4</td> <td style="border: 2px solid black; padding: 5px;">[4]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">5</td> <td style="border: 2px solid black; padding: 5px;">[]</td> </tr> </tbody> </table> <p><strong class="example">Example 2:</strong></p> <pre> <strong>Input:</strong> nums = [1,2,4,3] <strong>Output:</strong> 5 </pre> <table style="border: 2px solid black; border-collapse: collapse;"> <thead> <tr> <th style="border: 2px solid black; padding: 5px;">Operation</th> <th style="border: 2px solid black; padding: 5px;">Array</th> </tr> </thead> <tbody> <tr> <td style="border: 2px solid black; padding: 5px;">1</td> <td style="border: 2px solid black; padding: 5px;">[2, 4, 3]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">2</td> <td style="border: 2px solid black; padding: 5px;">[4, 3]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">3</td> <td style="border: 2px solid black; padding: 5px;">[3, 4]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">4</td> <td style="border: 2px solid black; padding: 5px;">[4]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">5</td> <td style="border: 2px solid black; padding: 5px;">[]</td> </tr> </tbody> </table> <p><strong class="example">Example 3:</strong></p> <pre> <strong>Input:</strong> nums = [1,2,3] <strong>Output:</strong> 3 </pre> <table style="border: 2px solid black; border-collapse: collapse;"> <thead> <tr> <th style="border: 2px solid black; padding: 5px;">Operation</th> <th style="border: 2px solid black; padding: 5px;">Array</th> </tr> </thead> <tbody> <tr> <td style="border: 2px solid black; padding: 5px;">1</td> <td style="border: 2px solid black; padding: 5px;">[2, 3]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">2</td> <td style="border: 2px solid black; padding: 5px;">[3]</td> </tr> <tr> <td style="border: 2px solid black; padding: 5px;">3</td> <td style="border: 2px solid black; padding: 5px;">[]</td> </tr> </tbody> </table> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= nums.length <= 10<sup>5</sup></code></li> <li><code>-10<sup>9 </sup><= nums[i] <= 10<sup>9</sup></code></li> <li>All values in <code>nums</code> are <strong>distinct</strong>.</li> </ul>