You are given an integer array nums.
Your task is to find the number of pairs of non-empty subsequences (seq1, seq2) of nums that satisfy the following conditions:
seq1 and seq2 are disjoint, meaning no index of nums is common between them.seq1 is equal to the GCD of the elements of seq2.Return the total number of such pairs.
\n\nSince the answer may be very large, return it modulo 109 + 7.
\n
Example 1:
\n\nInput: nums = [1,2,3,4]
\n\nOutput: 10
\n\nExplanation:
\n\nThe subsequence pairs which have the GCD of their elements equal to 1 are:
\n\n([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])Example 2:
\n\nInput: nums = [10,20,30]
\n\nOutput: 2
\n\nExplanation:
\n\nThe subsequence pairs which have the GCD of their elements equal to 10 are:
\n\n([10, 20, 30], [10, 20, 30])([10, 20, 30], [10, 20, 30])Example 3:
\n\nInput: nums = [1,1,1,1]
\n\nOutput: 50
\n\n
Constraints:
\n\n1 <= nums.length <= 2001 <= nums[i] <= 200给你一个整数数组 nums。
请你统计所有满足以下条件的 非空 子序列 对 (seq1, seq2) 的数量：
seq1 和 seq2 不相交，意味着 nums 中 不存在 同时出现在两个序列中的下标。seq1 元素的 GCD 等于 seq2 元素的 GCD。返回满足条件的子序列对的总数。
\n\n由于答案可能非常大，请返回其对 109 + 7 取余 的结果。
\n\n
示例 1：
\n\n输入： nums = [1,2,3,4]
\n\n输出： 10
\n\n解释：
\n\n元素 GCD 等于 1 的子序列对有：
\n\n([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])([1, 2, 3, 4], [1, 2, 3, 4])示例 2：
\n\n输入： nums = [10,20,30]
\n\n输出： 2
\n\n解释：
\n\n元素 GCD 等于 10 的子序列对有：
\n\n([10, 20, 30], [10, 20, 30])([10, 20, 30], [10, 20, 30])示例 3：
\n\n输入： nums = [1,1,1,1]
\n\n输出： 50
\n\n\n
提示：
\n\n1 <= nums.length <= 2001 <= nums[i] <= 200i with GCD g1 and g2."
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