leetcode-problemset/leetcode-cn/originData/number-of-music-playlists.json

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            "title": "Number of Music Playlists",
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            "content": "<p>Your music player contains <code>n</code> different songs. You want to listen to <code>goal</code> songs (not necessarily different) during your trip. To avoid boredom, you will create a playlist so that:</p>\n\n<ul>\n\t<li>Every song is played <strong>at least once</strong>.</li>\n\t<li>A song can only be played again only if <code>k</code> other songs have been played.</li>\n</ul>\n\n<p>Given <code>n</code>, <code>goal</code>, and <code>k</code>, return <em>the number of possible playlists that you can create</em>. Since the answer can be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, goal = 3, k = 1\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> There are 6 possible playlists: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], and [3, 2, 1].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, goal = 3, k = 0\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> There are 6 possible playlists: [1, 1, 2], [1, 2, 1], [2, 1, 1], [2, 2, 1], [2, 1, 2], and [1, 2, 2].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, goal = 3, k = 1\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are 2 possible playlists: [1, 2, 1] and [2, 1, 2].\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= k &lt; n &lt;= goal &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "播放列表的数量",
            "translatedContent": "<p>你的音乐播放器里有&nbsp;<code>N</code>&nbsp;首不同的歌，在旅途中，你的旅伴想要听 <code>L</code>&nbsp;首歌（不一定不同，即，允许歌曲重复）。请你为她按如下规则创建一个播放列表：</p>\n\n<ul>\n\t<li>每首歌至少播放一次。</li>\n\t<li>一首歌只有在其他 <code>K</code> 首歌播放完之后才能再次播放。</li>\n</ul>\n\n<p>返回可以满足要求的播放列表的数量。<strong>由于答案可能非常大，请返回它模&nbsp;<code>10^9 + 7</code>&nbsp;的结果。</strong></p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>N = 3, L = 3, K = 1\n<strong>输出：</strong>6\n<strong>解释：</strong>有 6 种可能的播放列表。[1, 2, 3]，[1, 3, 2]，[2, 1, 3]，[2, 3, 1]，[3, 1, 2]，[3, 2, 1].\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>N = 2, L = 3, K = 0\n<strong>输出：</strong>6\n<strong>解释：</strong>有 6 种可能的播放列表。[1, 1, 2]，[1, 2, 1]，[2, 1, 1]，[2, 2, 1]，[2, 1, 2]，[1, 2, 2]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>N = 2, L = 3, K = 1\n<strong>输出：</strong>2\n<strong>解释：</strong>有 2 种可能的播放列表。[1, 2, 1]，[2, 1, 2]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ol>\n\t<li><code>0 &lt;= K &lt; N &lt;= L &lt;= 100</code></li>\n</ol>\n",
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