You are given an array nums of positive integers and a positive integer k.
A subset of nums is beautiful if it does not contain two integers with an absolute difference equal to k.
Return the number of non-empty beautiful subsets of the array nums.
A subset of nums is an array that can be obtained by deleting some (possibly none) elements from nums. Two subsets are different if and only if the chosen indices to delete are different.
\n
Example 1:
\n\n\nInput: nums = [2,4,6], k = 2\nOutput: 4\nExplanation: The beautiful subsets of the array nums are: [2], [4], [6], [2, 6].\nIt can be proved that there are only 4 beautiful subsets in the array [2,4,6].\n\n\n
Example 2:
\n\n\nInput: nums = [1], k = 1\nOutput: 1\nExplanation: The beautiful subset of the array nums is [1].\nIt can be proved that there is only 1 beautiful subset in the array [1].\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 201 <= nums[i], k <= 1000给你一个由正整数组成的数组 nums 和一个 正 整数 k 。
如果 nums 的子集中，任意两个整数的绝对差均不等于 k ，则认为该子数组是一个 美丽 子集。
返回数组 nums 中 非空 且 美丽 的子集数目。
nums 的子集定义为：可以经由 nums 删除某些元素（也可能不删除）得到的一个数组。只有在删除元素时选择的索引不同的情况下，两个子集才会被视作是不同的子集。
\n\n
示例 1：
\n\n输入：nums = [2,4,6], k = 2\n输出：4\n解释：数组 nums 中的美丽子集有：[2], [4], [6], [2, 6] 。\n可以证明数组 [2,4,6] 中只存在 4 个美丽子集。\n\n\n
示例 2：
\n\n输入：nums = [1], k = 1\n输出：1\n解释：数组 nums 中的美丽数组有：[1] 。\n可以证明数组 [1] 中只存在 1 个美丽子集。 \n\n\n
\n\n
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