leetcode-problemset/leetcode-cn/originData/special-permutations.json

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        "question": {
            "questionId": "2848",
            "questionFrontendId": "2741",
            "categoryTitle": "Algorithms",
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            "title": "Special Permutations",
            "titleSlug": "special-permutations",
            "content": "<p>You are given a&nbsp;<strong>0-indexed</strong>&nbsp;integer array&nbsp;<code>nums</code>&nbsp;containing&nbsp;<code>n</code>&nbsp;<strong>distinct</strong> positive integers. A permutation of&nbsp;<code>nums</code>&nbsp;is called special if:</p>\n\n<ul>\n\t<li>For all indexes&nbsp;<code>0 &lt;= i &lt; n - 1</code>, either&nbsp;<code>nums[i] % nums[i+1] == 0</code>&nbsp;or&nbsp;<code>nums[i+1] % nums[i] == 0</code>.</li>\n</ul>\n\n<p>Return&nbsp;<em>the total number of special permutations.&nbsp;</em>As the answer could be large, return it&nbsp;<strong>modulo&nbsp;</strong><code>10<sup>9&nbsp;</sup>+ 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,3,6]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> [3,6,2] and [2,6,3] are the two special permutations of nums.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,3]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> [3,1,4] and [4,1,3] are the two special permutations of nums.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 14</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "特别的排列",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums</code>&nbsp;，它包含 <code>n</code>&nbsp;个 <strong>互不相同</strong>&nbsp;的正整数。如果&nbsp;<code>nums</code>&nbsp;的一个排列满足以下条件，我们称它是一个特别的排列：</p>\n\n<ul>\n\t<li>对于&nbsp;<code>0 &lt;= i &lt; n - 1</code>&nbsp;的下标 <code>i</code>&nbsp;，要么&nbsp;<code>nums[i] % nums[i+1] == 0</code>&nbsp;，要么&nbsp;<code>nums[i+1] % nums[i] == 0</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回特别排列的总数目，由于答案可能很大，请将它对<strong>&nbsp;</strong><code>10<sup>9&nbsp;</sup>+ 7</code>&nbsp;<strong>取余</strong>&nbsp;后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>nums = [2,3,6]\n<b>输出：</b>2\n<b>解释：</b>[3,6,2] 和 [2,6,3] 是 nums 两个特别的排列。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>nums = [1,4,3]\n<b>输出：</b>2\n<b>解释：</b>[3,1,4] 和 [4,1,3] 是 nums 两个特别的排列。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 14</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                {
                    "name": "Bit Manipulation",
                    "slug": "bit-manipulation",
                    "translatedName": "位运算",
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            "hints": [
                "Can we solve this problem using DP with bit masking?",
                "You just need two states in DP which are last_ind in the permutation and the mask of numbers already used."
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