leetcode-problemset/leetcode-cn/originData/determine-the-minimum-sum-of-a-k-avoiding-array.json

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            "title": "Determine the Minimum Sum of a k-avoiding Array",
            "titleSlug": "determine-the-minimum-sum-of-a-k-avoiding-array",
            "content": "<p>You are given two integers,&nbsp;<code>n</code> and <code>k</code>.</p>\n\n<p>An array of <strong>distinct</strong> positive integers is called a <b>k-avoiding</b> array if there does not exist any pair of distinct elements that sum to <code>k</code>.</p>\n\n<p>Return <em>the <strong>minimum</strong> possible sum of a k-avoiding array of length </em><code>n</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, k = 4\n<strong>Output:</strong> 18\n<strong>Explanation:</strong> Consider the k-avoiding array [1,2,4,5,6], which has a sum of 18.\nIt can be proven that there is no k-avoiding array with a sum less than 18.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, k = 6\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can construct the array [1,2], which has a sum of 3.\nIt can be proven that there is no k-avoiding array with a sum less than 3.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, k &lt;= 50</code></li>\n</ul>\n",
            "translatedTitle": "k-avoiding 数组的最小总和",
            "translatedContent": "<p>给你两个整数 <code>n</code> 和 <code>k</code> 。</p>\n\n<p>对于一个由 <strong>不同</strong> 正整数组成的数组，如果其中不存在任何求和等于 k 的不同元素对，则称其为 <strong>k-avoiding</strong> 数组。</p>\n\n<p>返回长度为 <code>n</code> 的 <strong>k-avoiding</strong> 数组的可能的最小总和。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 5, k = 4\n<strong>输出：</strong>18\n<strong>解释：</strong>设若 k-avoiding 数组为 [1,2,4,5,6] ，其元素总和为 18 。\n可以证明不存在总和小于 18 的 k-avoiding 数组。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2, k = 6\n<strong>输出：</strong>3\n<strong>解释：</strong>可以构造数组 [1,2] ，其元素总和为 3 。\n可以证明不存在总和小于 3 的 k-avoiding 数组。 \n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, k &lt;= 50</code></li>\n</ul>\n",
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                "<div class=\"_1l1MA\">Try to start with the smallest possible integers.</div>",
                "<div class=\"_1l1MA\">Check if the current number can be added to the array.</div>",
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