leetcode-problemset/leetcode-cn/originData/minimum-operations-to-exceed-threshold-value-ii.json

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            "title": "Minimum Operations to Exceed Threshold Value II",
            "titleSlug": "minimum-operations-to-exceed-threshold-value-ii",
            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>, and an integer <code>k</code>.</p>\n\n<p>You are allowed to perform some operations on <code>nums</code>, where in a single operation, you can:</p>\n\n<ul>\n\t<li>Select the two <strong>smallest</strong> integers <code>x</code> and <code>y</code> from <code>nums</code>.</li>\n\t<li>Remove <code>x</code> and <code>y</code> from <code>nums</code>.</li>\n\t<li>Insert <code>(min(x, y) * 2 + max(x, y))</code> at any position in the array.</li>\n</ul>\n\n<p><strong>Note</strong> that you can only apply the described operation if <code>nums</code> contains <strong>at least</strong> two elements.</p>\n\n<p>Return the <strong>minimum</strong> number of operations needed so that all elements of the array are <strong>greater than or equal to</strong> <code>k</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2,11,10,1,3], k = 10</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ol>\n\t<li>In the first operation, we remove elements 1 and 2, then add <code>1 * 2 + 2</code> to <code>nums</code>. <code>nums</code> becomes equal to <code>[4, 11, 10, 3]</code>.</li>\n\t<li>In the second operation, we remove elements 3 and 4, then add <code>3 * 2 + 4</code> to <code>nums</code>. <code>nums</code> becomes equal to <code>[10, 11, 10]</code>.</li>\n</ol>\n\n<p>At this stage, all the elements of nums are greater than or equal to 10 so we can stop.&nbsp;</p>\n\n<p>It can be shown that 2 is the minimum number of operations needed so that all elements of the array are greater than or equal to 10.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,1,2,4,9], k = 20</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ol>\n\t<li>After one operation, <code>nums</code> becomes equal to <code>[2, 4, 9, 3]</code>.&nbsp;</li>\n\t<li>After two operations, <code>nums</code> becomes equal to <code>[7, 4, 9]</code>.&nbsp;</li>\n\t<li>After three operations, <code>nums</code> becomes equal to <code>[15, 9]</code>.&nbsp;</li>\n\t<li>After four operations, <code>nums</code> becomes equal to <code>[33]</code>.</li>\n</ol>\n\n<p>At this stage, all the elements of <code>nums</code> are greater than 20 so we can stop.&nbsp;</p>\n\n<p>It can be shown that 4 is the minimum number of operations needed so that all elements of the array are greater than or equal to 20.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n\t<li>The input is generated such that an answer always exists. That is, after performing some number of operations, all elements of the array are greater than or equal to <code>k</code>.</li>\n</ul>\n",
            "translatedTitle": "超过阈值的最少操作数 II",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums</code>&nbsp;和一个整数&nbsp;<code>k</code>&nbsp;。</p>\n\n<p>你可以对&nbsp;<code>nums</code>&nbsp;执行一些操作，在一次操作中，你可以：</p>\n\n<ul>\n\t<li>选择 <code>nums</code>&nbsp;中 <strong>最小</strong> 的两个整数&nbsp;<code>x</code> 和&nbsp;<code>y</code>&nbsp;。</li>\n\t<li>将&nbsp;<code>x</code> 和&nbsp;<code>y</code> 从&nbsp;<code>nums</code>&nbsp;中删除。</li>\n\t<li>将&nbsp;<code>min(x, y) * 2 + max(x, y)</code>&nbsp;添加到数组中的任意位置。</li>\n</ul>\n\n<p><b>注意，</b>只有当&nbsp;<code>nums</code>&nbsp;<strong>至少</strong> 包含两个元素时，你才可以执行以上操作。</p>\n\n<p>你需要使数组中的所有元素都 <strong>大于或等于</strong>&nbsp;<code>k</code>&nbsp;，请你返回需要的&nbsp;<strong>最少</strong>&nbsp;操作次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><b>输入：</b>nums = [2,11,10,1,3], k = 10</p>\n\n<p><b>输出：</b>2</p>\n\n<p><b>解释：</b></p>\n\n<ol>\n\t<li>第一次操作中，我们删除元素 1 和 2 ，然后添加 <code>1 * 2 + 2</code> 到 <code>nums</code> 中，<code>nums</code> 变为 <code>[4, 11, 10, 3]</code> 。</li>\n\t<li>第二次操作中，我们删除元素 3 和 4 ，然后添加 <code>3 * 2 + 4</code> 到 <code>nums</code> 中，<code>nums</code> 变为 <code>[10, 11, 10]</code> 。</li>\n</ol>\n\n<p>此时，数组中的所有元素都大于等于 10 ，所以我们停止操作。</p>\n\n<p>可以证明使数组中所有元素都大于等于 10 需要的最少操作次数为 2 。</p>\n\n<p>&nbsp;</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><b>输入：</b>nums = [1,1,2,4,9], k = 20</p>\n\n<p><b>输出：</b>4</p>\n\n<p><b>解释：</b></p>\n\n<ol>\n\t<li>第一次操作后，<code>nums</code> 变为 <code>[2, 4, 9, 3]</code>。</li>\n\t<li>第二次操作后，<code>nums</code> 变为 <code>[7, 4, 9]</code>。</li>\n\t<li>第三次操作后，<code>nums</code> 变为 <code>[15, 9]</code>。</li>\n\t<li>第四次操作后，<code>nums</code> 变为 <code>[33]</code>。</li>\n</ol>\n\n<p>此时，<code>nums</code> 中的所有元素都大于等于 20 ，所以我们停止操作。</p>\n\n<p>可以证明使数组中所有元素都大于等于 20 需要的最少操作次数为 4 。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n\t<li>输入保证答案一定存在，也就是说，在进行某些次数的操作后，数组中所有元素都大于等于&nbsp;<code>k</code> 。</li>\n</ul>\n",
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