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 class=\"example\">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 class=\"example\">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 class=\"example\">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 <code>n</code> 首不同的歌，在旅途中，你计划听 <code>goal</code> 首歌（不一定不同，即，允许歌曲重复）。你将会按如下规则创建播放列表：</p>\n\n<ul>\n\t<li>每首歌 <strong>至少播放一次</strong> 。</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>给你 <code>n</code>、<code>goal</code> 和 <code>k</code> ，返回可以满足要求的播放列表的数量。由于答案可能非常大，请返回对 <code>10<sup>9</sup> + 7</code> <strong>取余</strong> 的结果。</p>\n&nbsp;\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, goal = 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>\n<strong>输入：</strong>n = 2, goal = 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>\n<strong>输入：</strong>n = 2, goal = 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<ul>\n\t<li><code>0 &lt;= k &lt; n &lt;= goal &lt;= 100</code></li>\n</ul>\n",
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