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1{2  "id": 2848,3  "name": "special-permutations",4  "difficulty": "Medium",5  "link": "https://leetcode.com/problems/special-permutations/",6  "date": "2023-06-11",7  "task_description": "You are given a **0-indexed** integer array `nums` containing `n` **distinct** positive integers. A permutation of `nums` is called special if: For all indexes `0 <= i < n - 1`, either `nums[i] % nums[i+1] == 0` or `nums[i+1] % nums[i] == 0`. Return _the total number of special permutations. _As the answer could be large, return it **modulo **`109 + 7`. **Example 1:** ``` **Input:** nums = [2,3,6] **Output:** 2 **Explanation:** [3,6,2] and [2,6,3] are the two special permutations of nums. ``` **Example 2:** ``` **Input:** nums = [1,4,3] **Output:** 2 **Explanation:** [3,1,4] and [4,1,3] are the two special permutations of nums. ``` **Constraints:** `2 <= nums.length <= 14` `1 <= nums[i] <= 109`",8  "test_case": [9    {10      "label": "Example 1",11      "input": "nums = [2,3,6]",12      "output": "2 "13    },14    {15      "label": "Example 2",16      "input": "nums = [1,4,3]",17      "output": "2 "18    }19  ],20  "constraints": [21    "For all indexes 0 <= i < n - 1, either nums[i] % nums[i+1] == 0 or nums[i+1] % nums[i] == 0.",22    "2 <= nums.length <= 14",23    "1 <= nums[i] <= 109"24  ],25  "python_template": "class Solution(object):\n    def specialPerm(self, nums):\n        \"\"\"\n        :type nums: List[int]\n        :rtype: int\n        \"\"\"\n        ",26  "java_template": "class Solution {\n    public int specialPerm(int[] nums) {\n        \n    }\n}",27  "metadata": {28    "func_name": "specialPerm"29  }30}