leetcode-problemset/leetcode-cn/originData/append-k-integers-with-minimal-sum.json

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            "questionId": "2305",
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            "title": "Append K Integers With Minimal Sum",
            "titleSlug": "append-k-integers-with-minimal-sum",
            "content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. Append <code>k</code> <strong>unique positive</strong> integers that do <strong>not</strong> appear in <code>nums</code> to <code>nums</code> such that the resulting total sum is <strong>minimum</strong>.</p>\n\n<p>Return<em> the sum of the</em> <code>k</code> <em>integers appended to</em> <code>nums</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,25,10,25], k = 2\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The two unique positive integers that do not appear in nums which we append are 2 and 3.\nThe resulting sum of nums is 1 + 4 + 25 + 10 + 25 + 2 + 3 = 70, which is the minimum.\nThe sum of the two integers appended is 2 + 3 = 5, so we return 5.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,6], k = 6\n<strong>Output:</strong> 25\n<strong>Explanation:</strong> The six unique positive integers that do not appear in nums which we append are 1, 2, 3, 4, 7, and 8.\nThe resulting sum of nums is 5 + 6 + 1 + 2 + 3 + 4 + 7 + 8 = 36, which is the minimum. \nThe sum of the six integers appended is 1 + 2 + 3 + 4 + 7 + 8 = 25, so we return 25.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 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>8</sup></code></li>\n</ul>\n",
            "translatedTitle": "向数组中追加 K 个整数",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>k</code> 。请你向 <code>nums</code> 中追加 <code>k</code> 个 <strong>未</strong> 出现在 <code>nums</code> 中的、<strong>互不相同</strong> 的 <strong>正</strong> 整数，并使结果数组的元素和 <strong>最小</strong> 。</p>\n\n<p>返回追加到 <code>nums</code> 中的 <code>k</code> 个整数之和。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>nums = [1,4,25,10,25], k = 2\n<strong>输出：</strong>5\n<strong>解释：</strong>在该解法中，向数组中追加的两个互不相同且未出现的正整数是 2 和 3 。\nnums 最终元素和为 1 + 4 + 25 + 10 + 25 + 2 + 3 = 70 ，这是所有情况中的最小值。\n所以追加到数组中的两个整数之和是 2 + 3 = 5 ，所以返回 5 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>nums = [5,6], k = 6\n<strong>输出：</strong>25\n<strong>解释：</strong>在该解法中，向数组中追加的两个互不相同且未出现的正整数是 1 、2 、3 、4 、7 和 8 。\nnums 最终元素和为 5 + 6 + 1 + 2 + 3 + 4 + 7 + 8 = 36 ，这是所有情况中的最小值。\n所以追加到数组中的两个整数之和是 1 + 2 + 3 + 4 + 7 + 8 = 25 ，所以返回 25 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i], k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                "The k smallest numbers that do not appear in nums will result in the minimum sum.",
                "Recall that the sum of the first n positive numbers is equal to n * (n+1) / 2.",
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