<p>You are given an array <code>nums</code> of positive integers and an integer <code>k</code>.</p> <p>In one operation, you can remove the last element of the array and add it to your collection.</p> <p>Return <em>the <strong>minimum number of operations</strong> needed to collect elements</em> <code>1, 2, ..., k</code>.</p> <p> </p> <p><strong class="example">Example 1:</strong></p> <pre> <strong>Input:</strong> nums = [3,1,5,4,2], k = 2 <strong>Output:</strong> 4 <strong>Explanation:</strong> After 4 operations, we collect elements 2, 4, 5, and 1, in this order. Our collection contains elements 1 and 2. Hence, the answer is 4. </pre> <p><strong class="example">Example 2:</strong></p> <pre> <strong>Input:</strong> nums = [3,1,5,4,2], k = 5 <strong>Output:</strong> 5 <strong>Explanation:</strong> After 5 operations, we collect elements 2, 4, 5, 1, and 3, in this order. Our collection contains elements 1 through 5. Hence, the answer is 5. </pre> <p><strong class="example">Example 3:</strong></p> <pre> <strong>Input:</strong> nums = [3,2,5,3,1], k = 3 <strong>Output:</strong> 4 <strong>Explanation:</strong> After 4 operations, we collect elements 1, 3, 5, and 2, in this order. Our collection contains elements 1 through 3. Hence, the answer is 4. </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= nums.length <= 50</code></li> <li><code>1 <= nums[i] <= nums.length</code></li> <li><code>1 <= k <= nums.length</code></li> <li>The input is generated such that you can collect elements <code>1, 2, ..., k</code>.</li> </ul>