An array is squareful if the sum of every pair of adjacent elements is a perfect square.
\n\nGiven an integer array nums, return the number of permutations of nums that are squareful.
Two permutations perm1 and perm2 are different if there is some index i such that perm1[i] != perm2[i].
\n
Example 1:
\n\n\nInput: nums = [1,17,8]\nOutput: 2\nExplanation: [1,8,17] and [17,8,1] are the valid permutations.\n\n\n
Example 2:
\n\n\nInput: nums = [2,2,2]\nOutput: 1\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 120 <= nums[i] <= 109如果一个数组的任意两个相邻元素之和都是 完全平方数 ，则该数组称为 平方数组 。
\n\n给定一个整数数组 nums，返回所有属于 平方数组 的 nums 的排列数量。
如果存在某个索引 i 使得 perm1[i] != perm2[i]，则认为两个排列 perm1 和 perm2 不同。
\n\n
示例 1：
\n\n\n输入：nums = [1,17,8]\n输出：2\n解释：[1,8,17] 和 [17,8,1] 是有效的排列。\n\n\n
示例 2：
\n\n\n输入：nums = [2,2,2]\n输出：1\n\n\n
\n\n
提示：
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