leetcode-problemset/leetcode-cn/originData/find-the-minimum-possible-sum-of-a-beautiful-array.json

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            "title": "Find the Minimum Possible Sum of a Beautiful Array",
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            "content": "<p>You are given positive integers <code>n</code> and <code>target</code>.</p>\n\n<p>An array <code>nums</code> is <strong>beautiful</strong> if it meets the following conditions:</p>\n\n<ul>\n\t<li><code>nums.length == n</code>.</li>\n\t<li><code>nums</code> consists of pairwise <strong>distinct</strong> <strong>positive</strong> integers.</li>\n\t<li>There doesn&#39;t exist two <strong>distinct</strong> indices, <code>i</code> and <code>j</code>, in the range <code>[0, n - 1]</code>, such that <code>nums[i] + nums[j] == target</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>minimum</strong> possible sum that a beautiful array could have modulo </em><code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, target = 3\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> We can see that nums = [1,3] is beautiful.\n- The array nums has length n = 2.\n- The array nums consists of pairwise distinct positive integers.\n- There doesn&#39;t exist two distinct indices, i and j, with nums[i] + nums[j] == 3.\nIt can be proven that 4 is the minimum possible sum that a beautiful array could have.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, target = 3\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> We can see that nums = [1,3,4] is beautiful.\n- The array nums has length n = 3.\n- The array nums consists of pairwise distinct positive integers.\n- There doesn&#39;t exist two distinct indices, i and j, with nums[i] + nums[j] == 3.\nIt can be proven that 8 is the minimum possible sum that a beautiful array could have.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, target = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We can see, that nums = [1] is beautiful.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "找出美丽数组的最小和",
            "translatedContent": "<p>给你两个正整数：<code>n</code> 和 <code>target</code> 。</p>\n\n<p>如果数组 <code>nums</code> 满足下述条件，则称其为 <strong>美丽数组</strong> 。</p>\n\n<ul>\n\t<li><code>nums.length == n</code>.</li>\n\t<li><code>nums</code> 由两两互不相同的正整数组成。</li>\n\t<li>在范围 <code>[0, n-1]</code> 内，<strong>不存在 </strong>两个 <strong>不同</strong> 下标 <code>i</code> 和 <code>j</code> ，使得 <code>nums[i] + nums[j] == target</code> 。</li>\n</ul>\n\n<p>返回符合条件的美丽数组所可能具备的 <strong>最小</strong> 和，并对结果进行取模 <code>10<sup>9</sup>&nbsp;+ 7</code>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2, target = 3\n<strong>输出：</strong>4\n<strong>解释：</strong>nums = [1,3] 是美丽数组。\n- nums 的长度为 n = 2 。\n- nums 由两两互不相同的正整数组成。\n- 不存在两个不同下标 i 和 j ，使得 nums[i] + nums[j] == 3 。\n可以证明 4 是符合条件的美丽数组所可能具备的最小和。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, target = 3\n<strong>输出：</strong>8\n<strong>解释：</strong>\nnums = [1,3,4] 是美丽数组。 \n- nums 的长度为 n = 3 。 \n- nums 由两两互不相同的正整数组成。 \n- 不存在两个不同下标 i 和 j ，使得 nums[i] + nums[j] == 3 。\n可以证明 8 是符合条件的美丽数组所可能具备的最小和。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1, target = 1\n<strong>输出：</strong>1\n<strong>解释：</strong>nums = [1] 是美丽数组。\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 &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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