leetcode-problemset/leetcode-cn/originData/minimum-adjacent-swaps-to-reach-the-kth-smallest-number.json

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            "title": "Minimum Adjacent Swaps to Reach the Kth Smallest Number",
            "titleSlug": "minimum-adjacent-swaps-to-reach-the-kth-smallest-number",
            "content": "<p>You are given a string <code>num</code>, representing a large integer, and an integer <code>k</code>.</p>\n\n<p>We call some integer <strong>wonderful</strong> if it is a <strong>permutation</strong> of the digits in <code>num</code> and is <strong>greater in value</strong> than <code>num</code>. There can be many wonderful integers. However, we only care about the <strong>smallest-valued</strong> ones.</p>\n\n<ul>\n\t<li>For example, when <code>num = &quot;5489355142&quot;</code>:\n\n\t<ul>\n\t\t<li>The 1<sup>st</sup> smallest wonderful integer is <code>&quot;5489355214&quot;</code>.</li>\n\t\t<li>The 2<sup>nd</sup> smallest wonderful integer is <code>&quot;5489355241&quot;</code>.</li>\n\t\t<li>The 3<sup>rd</sup> smallest wonderful integer is <code>&quot;5489355412&quot;</code>.</li>\n\t\t<li>The 4<sup>th</sup> smallest wonderful integer is <code>&quot;5489355421&quot;</code>.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return <em>the <strong>minimum number of adjacent digit swaps</strong> that needs to be applied to </em><code>num</code><em> to reach the </em><code>k<sup>th</sup></code><em><strong> smallest wonderful</strong> integer</em>.</p>\n\n<p>The tests are generated in such a way that <code>k<sup>th</sup></code>&nbsp;smallest wonderful integer exists.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;5489355142&quot;, k = 4\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The 4<sup>th</sup> smallest wonderful number is &quot;5489355421&quot;. To get this number:\n- Swap index 7 with index 8: &quot;5489355<u>14</u>2&quot; -&gt; &quot;5489355<u>41</u>2&quot;\n- Swap index 8 with index 9: &quot;54893554<u>12</u>&quot; -&gt; &quot;54893554<u>21</u>&quot;\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;11112&quot;, k = 4\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The 4<sup>th</sup> smallest wonderful number is &quot;21111&quot;. To get this number:\n- Swap index 3 with index 4: &quot;111<u>12</u>&quot; -&gt; &quot;111<u>21</u>&quot;\n- Swap index 2 with index 3: &quot;11<u>12</u>1&quot; -&gt; &quot;11<u>21</u>1&quot;\n- Swap index 1 with index 2: &quot;1<u>12</u>11&quot; -&gt; &quot;1<u>21</u>11&quot;\n- Swap index 0 with index 1: &quot;<u>12</u>111&quot; -&gt; &quot;<u>21</u>111&quot;\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;00123&quot;, k = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The 1<sup>st</sup> smallest wonderful number is &quot;00132&quot;. To get this number:\n- Swap index 3 with index 4: &quot;001<u>23</u>&quot; -&gt; &quot;001<u>32</u>&quot;\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= num.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 1000</code></li>\n\t<li><code>num</code> only consists of digits.</li>\n</ul>\n",
            "translatedTitle": "邻位交换的最小次数",
            "translatedContent": "<p>给你一个表示大整数的字符串 <code>num</code> ，和一个整数 <code>k</code> 。</p>\n\n<p>如果某个整数是 <code>num</code> 中各位数字的一个 <strong>排列</strong> 且它的 <strong>值大于</strong> <code>num</code> ，则称这个整数为 <strong>妙数</strong> 。可能存在很多妙数，但是只需要关注 <strong>值最小</strong> 的那些。</p>\n\n<ul>\n\t<li>例如，<code>num = \"5489355142\"</code> ：\n\n\t<ul>\n\t\t<li>第 1 个最小妙数是 <code>\"5489355214\"</code></li>\n\t\t<li>第 2 个最小妙数是 <code>\"5489355241\"</code></li>\n\t\t<li>第 3 个最小妙数是 <code>\"5489355412\"</code></li>\n\t\t<li>第 4 个最小妙数是 <code>\"5489355421\"</code></li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>返回要得到第 <code>k</code> 个 <strong>最小妙数</strong> 需要对 <code>num</code> 执行的 <strong>相邻位数字交换的最小次数</strong> 。</p>\n\n<p>测试用例是按存在第 <code>k</code> 个最小妙数而生成的。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>num = \"5489355142\", k = 4\n<strong>输出：</strong>2\n<strong>解释：</strong>第 4 个最小妙数是 \"5489355421\" ，要想得到这个数字：\n- 交换下标 7 和下标 8 对应的位：\"5489355<strong>14</strong>2\" -&gt; \"5489355<strong>41</strong>2\"\n- 交换下标 8 和下标 9 对应的位：\"54893554<strong>12</strong>\" -&gt; \"54893554<strong>21</strong>\"\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>num = \"11112\", k = 4\n<strong>输出：</strong>4\n<strong>解释：</strong>第 4 个最小妙数是 \"21111\" ，要想得到这个数字：\n- 交换下标 3 和下标 4 对应的位：\"111<strong>12</strong>\" -&gt; \"111<strong>21</strong>\"\n- 交换下标 2 和下标 3 对应的位：\"11<strong>12</strong>1\" -&gt; \"11<strong>21</strong>1\"\n- 交换下标 1 和下标 2 对应的位：\"1<strong>12</strong>11\" -&gt; \"1<strong>21</strong>11\"\n- 交换下标 0 和下标 1 对应的位：\"<strong>12</strong>111\" -&gt; \"<strong>21</strong>111\"\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>num = \"00123\", k = 1\n<strong>输出：</strong>1\n<strong>解释：</strong>第 1 个最小妙数是 \"00132\" ，要想得到这个数字：\n- 交换下标 3 和下标 4 对应的位：\"001<strong>23</strong>\" -&gt; \"001<strong>32</strong>\"\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= num.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 1000</code></li>\n\t<li><code>num</code> 仅由数字组成</li>\n</ul>\n",
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