leetcode-problemset/leetcode-cn/originData/cracking-the-safe.json

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        "question": {
            "questionId": "754",
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            "categoryTitle": "Algorithms",
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            "title": "Cracking the Safe",
            "titleSlug": "cracking-the-safe",
            "content": "<p>There is a safe protected by a password. The password is a sequence of <code>n</code> digits where each digit can be in the range <code>[0, k - 1]</code>.</p>\n\n<p>The safe has a peculiar way of checking the password. When you enter in a sequence, it checks the <strong>most recent </strong><code>n</code><strong> digits</strong> that were entered each time you type a digit.</p>\n\n<ul>\n\t<li>For example, the correct password is <code>&quot;345&quot;</code> and you enter in <code>&quot;012345&quot;</code>:\n\n\t<ul>\n\t\t<li>After typing <code>0</code>, the most recent <code>3</code> digits is <code>&quot;0&quot;</code>, which is incorrect.</li>\n\t\t<li>After typing <code>1</code>, the most recent <code>3</code> digits is <code>&quot;01&quot;</code>, which is incorrect.</li>\n\t\t<li>After typing <code>2</code>, the most recent <code>3</code> digits is <code>&quot;012&quot;</code>, which is incorrect.</li>\n\t\t<li>After typing <code>3</code>, the most recent <code>3</code> digits is <code>&quot;123&quot;</code>, which is incorrect.</li>\n\t\t<li>After typing <code>4</code>, the most recent <code>3</code> digits is <code>&quot;234&quot;</code>, which is incorrect.</li>\n\t\t<li>After typing <code>5</code>, the most recent <code>3</code> digits is <code>&quot;345&quot;</code>, which is correct and the safe unlocks.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return <em>any string of <strong>minimum length</strong> that will unlock the safe <strong>at some point</strong> of entering it</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, k = 2\n<strong>Output:</strong> &quot;10&quot;\n<strong>Explanation:</strong> The password is a single digit, so enter each digit. &quot;01&quot; would also unlock the safe.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, k = 2\n<strong>Output:</strong> &quot;01100&quot;\n<strong>Explanation:</strong> For each possible password:\n- &quot;00&quot; is typed in starting from the 4<sup>th</sup> digit.\n- &quot;01&quot; is typed in starting from the 1<sup>st</sup> digit.\n- &quot;10&quot; is typed in starting from the 3<sup>rd</sup> digit.\n- &quot;11&quot; is typed in starting from the 2<sup>nd</sup> digit.\nThus &quot;01100&quot; will unlock the safe. &quot;10011&quot;, and &quot;11001&quot; would also unlock the safe.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 4</code></li>\n\t<li><code>1 &lt;= k &lt;= 10</code></li>\n\t<li><code>1 &lt;= k<sup>n</sup> &lt;= 4096</code></li>\n</ul>\n",
            "translatedTitle": "破解保险箱",
            "translatedContent": "<p>有一个需要密码才能打开的保险箱。密码是&nbsp;<code>n</code> 位数, 密码的每一位都是范围&nbsp;<code>[0, k - 1]</code>&nbsp;中的一个数字。</p>\n\n<p>保险箱有一种特殊的密码校验方法，你可以随意输入密码序列，保险箱会自动记住 <strong>最后&nbsp;<code>n</code>&nbsp;位输入</strong> ，如果匹配，则能够打开保险箱。</p>\n\n<ul>\n\t<li>例如，正确的密码是 <code>\"345\"</code> ，并且你输入的是 <code>\"012345\"</code> ：\n\n\t<ul>\n\t\t<li>输入 <code>0</code> 之后，最后 <code>3</code> 位输入是 <code>\"0\"</code> ，不正确。</li>\n\t\t<li>输入 <code>1</code> 之后，最后 <code>3</code> 位输入是 <code>\"01\"</code> ，不正确。</li>\n\t\t<li>输入 <code>2</code> 之后，最后 <code>3</code> 位输入是 <code>\"012\"</code> ，不正确。</li>\n\t\t<li>输入 <code>3</code> 之后，最后 <code>3</code> 位输入是 <code>\"123\"</code> ，不正确。</li>\n\t\t<li>输入 <code>4</code> 之后，最后 <code>3</code> 位输入是 <code>\"234\"</code> ，不正确。</li>\n\t\t<li>输入 <code>5</code> 之后，最后 <code>3</code> 位输入是 <code>\"345\"</code> ，正确，打开保险箱。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>在只知道密码位数 <code>n</code> 和范围边界 <code>k</code> 的前提下，请你找出并返回确保在输入的 <strong>某个时刻</strong> 能够打开保险箱的任一 <strong>最短</strong> 密码序列 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1, k = 2\n<strong>输出：</strong>\"10\"\n<strong>解释：</strong>密码只有 1 位，所以输入每一位就可以。\"01\" 也能够确保打开保险箱。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2, k = 2\n<strong>输出：</strong>\"01100\"\n<strong>解释：</strong>对于每种可能的密码：\n- \"00\" 从第 4 位开始输入。\n- \"01\" 从第 1 位开始输入。\n- \"10\" 从第 3 位开始输入。\n- \"11\" 从第 2 位开始输入。\n因此 \"01100\" 可以确保打开保险箱。\"01100\"、\"10011\" 和 \"11001\" 也可以确保打开保险箱。\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;= 4</code></li>\n\t<li><code>1 &lt;= k &lt;= 10</code></li>\n\t<li><code>1 &lt;= k<sup>n</sup> &lt;= 4096</code></li>\n</ul>\n",
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