leetcode-problemset/leetcode-cn/originData/shortest-impossible-sequence-of-rolls.json

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            "title": "Shortest Impossible Sequence of Rolls",
            "titleSlug": "shortest-impossible-sequence-of-rolls",
            "content": "<p>You are given an integer array <code>rolls</code> of length <code>n</code> and an integer <code>k</code>. You roll a <code>k</code> sided dice numbered from <code>1</code> to <code>k</code>, <code>n</code> times, where the result of the <code>i<sup>th</sup></code> roll is <code>rolls[i]</code>.</p>\n\n<p>Return<em> the length of the <strong>shortest</strong> sequence of rolls that <strong>cannot</strong> be taken from </em><code>rolls</code>.</p>\n\n<p>A <strong>sequence of rolls</strong> of length <code>len</code> is the result of rolling a <code>k</code> sided dice <code>len</code> times.</p>\n\n<p><strong>Note</strong> that the sequence taken does not have to be consecutive as long as it is in order.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> rolls = [4,2,1,2,3,3,2,4,1], k = 4\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Every sequence of rolls of length 1, [1], [2], [3], [4], can be taken from rolls.\nEvery sequence of rolls of length 2, [1, 1], [1, 2], ..., [4, 4], can be taken from rolls.\nThe sequence [1, 4, 2] cannot be taken from rolls, so we return 3.\nNote that there are other sequences that cannot be taken from rolls.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> rolls = [1,1,2,2], k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Every sequence of rolls of length 1, [1], [2], can be taken from rolls.\nThe sequence [2, 1] cannot be taken from rolls, so we return 2.\nNote that there are other sequences that cannot be taken from rolls but [2, 1] is the shortest.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> rolls = [1,1,3,2,2,2,3,3], k = 4\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The sequence [4] cannot be taken from rolls, so we return 1.\nNote that there are other sequences that cannot be taken from rolls but [4] is the shortest.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == rolls.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= rolls[i] &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "不可能得到的最短骰子序列",
            "translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>rolls</code>&nbsp;和一个整数&nbsp;<code>k</code>&nbsp;。你扔一个&nbsp;<code>k</code>&nbsp;面的骰子 <code>n</code>&nbsp;次，骰子的每个面分别是&nbsp;<code>1</code>&nbsp;到&nbsp;<code>k</code>&nbsp;，其中第&nbsp;<code>i</code>&nbsp;次扔得到的数字是&nbsp;<code>rolls[i]</code>&nbsp;。</p>\n\n<p>请你返回 <strong>无法</strong>&nbsp;从 <code>rolls</code>&nbsp;中得到的 <strong>最短</strong>&nbsp;骰子子序列的长度。</p>\n\n<p>扔一个 <code>k</code>&nbsp;面的骰子 <code>len</code>&nbsp;次得到的是一个长度为 <code>len</code>&nbsp;的 <strong>骰子子序列</strong>&nbsp;。</p>\n\n<p><strong>注意</strong>&nbsp;，子序列只需要保持在原数组中的顺序，不需要连续。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>rolls = [4,2,1,2,3,3,2,4,1], k = 4\n<b>输出：</b>3\n<b>解释：</b>所有长度为 1 的骰子子序列 [1] ，[2] ，[3] ，[4] 都可以从原数组中得到。\n所有长度为 2 的骰子子序列 [1, 1] ，[1, 2] ，... ，[4, 4] 都可以从原数组中得到。\n子序列 [1, 4, 2] 无法从原数组中得到，所以我们返回 3 。\n还有别的子序列也无法从原数组中得到。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>rolls = [1,1,2,2], k = 2\n<b>输出：</b>2\n<b>解释：</b>所有长度为 1 的子序列 [1] ，[2] 都可以从原数组中得到。\n子序列 [2, 1] 无法从原数组中得到，所以我们返回 2 。\n还有别的子序列也无法从原数组中得到，但 [2, 1] 是最短的子序列。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>rolls = [1,1,3,2,2,2,3,3], k = 4\n<b>输出：</b>1\n<b>解释：</b>子序列 [4] 无法从原数组中得到，所以我们返回 1 。\n还有别的子序列也无法从原数组中得到，但 [4] 是最短的子序列。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == rolls.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= rolls[i] &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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