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"title": "Maximize the Topmost Element After K Moves",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> representing the contents of a <b>pile</b>, where <code>nums[0]</code> is the topmost element of the pile.</p>\n\n<p>In one move, you can perform <strong>either</strong> of the following:</p>\n\n<ul>\n\t<li>If the pile is not empty, <strong>remove</strong> the topmost element of the pile.</li>\n\t<li>If there are one or more removed elements, <strong>add</strong> any one of them back onto the pile. This element becomes the new topmost element.</li>\n</ul>\n\n<p>You are also given an integer <code>k</code>, which denotes the total number of moves to be made.</p>\n\n<p>Return <em>the <strong>maximum value</strong> of the topmost element of the pile possible after <strong>exactly</strong></em> <code>k</code> <em>moves</em>. In case it is not possible to obtain a non-empty pile after <code>k</code> moves, return <code>-1</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,2,2,4,0,6], k = 4\n<strong>Output:</strong> 5\n<strong>Explanation:</strong>\nOne of the ways we can end with 5 at the top of the pile after 4 moves is as follows:\n- Step 1: Remove the topmost element = 5. The pile becomes [2,2,4,0,6].\n- Step 2: Remove the topmost element = 2. The pile becomes [2,4,0,6].\n- Step 3: Remove the topmost element = 2. The pile becomes [4,0,6].\n- Step 4: Add 5 back onto the pile. The pile becomes [5,4,0,6].\nNote that this is not the only way to end with 5 at the top of the pile. It can be shown that 5 is the largest answer possible after 4 moves.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2], k = 1\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> \nIn the first move, our only option is to pop the topmost element of the pile.\nSince it is not possible to obtain a non-empty pile after one move, we return -1.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums[i], k <= 10<sup>9</sup></code></li>\n</ul>\n",
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