leetcode-problemset/leetcode-cn/originData/k-inverse-pairs-array.json

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            "title": "K Inverse Pairs Array",
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            "content": "<p>For an integer array <code>nums</code>, an <strong>inverse pair</strong> is a pair of integers <code>[i, j]</code> where <code>0 &lt;= i &lt; j &lt; nums.length</code> and <code>nums[i] &gt; nums[j]</code>.</p>\n\n<p>Given two integers n and k, return the number of different arrays consisting of numbers from <code>1</code> to <code>n</code> such that there are exactly <code>k</code> <strong>inverse pairs</strong>. Since the answer can be huge, return it <strong>modulo</strong> <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 = 3, k = 0\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> Only the array [1,2,3] which consists of numbers from 1 to 3 has exactly 0 inverse pairs.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, k = 1\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The array [1,3,2] and [2,1,3] have exactly 1 inverse pair.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 1000</code></li>\n\t<li><code>0 &lt;= k &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "K 个逆序对数组",
            "translatedContent": "<p>对于一个整数数组&nbsp;<code>nums</code>，<strong>逆序对</strong>是一对满足 <code>0 &lt;= i &lt; j &lt; nums.length</code> 且&nbsp;<code>nums[i] &gt; nums[j]</code>的整数对&nbsp;<code>[i, j]</code>&nbsp;。</p>\n\n<p>给你两个整数&nbsp;<code>n</code>&nbsp;和&nbsp;<code>k</code>，找出所有包含从&nbsp;<code>1</code>&nbsp;到&nbsp;<code>n</code>&nbsp;的数字，且恰好拥有&nbsp;<code>k</code>&nbsp;个 <strong>逆序对</strong> 的不同的数组的个数。由于答案可能很大，只需要返回对 <code>10<sup>9</sup>&nbsp;+ 7</code> 取余的结果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, k = 0\n<strong>输出：</strong>1\n<strong>解释：</strong>\n只有数组 [1,2,3] 包含了从1到3的整数并且正好拥有 0 个逆序对。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, k = 1\n<strong>输出：</strong>2\n<strong>解释：</strong>\n数组 [1,3,2] 和 [2,1,3] 都有 1 个逆序对。\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;= 1000</code></li>\n\t<li><code>0 &lt;= k &lt;= 1000</code></li>\n</ul>\n",
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