You are given a 2D integer array, queries. For each queries[i], where queries[i] = [ni, ki], find the number of different ways you can place positive integers into an array of size ni such that the product of the integers is ki. As the number of ways may be too large, the answer to the ith query is the number of ways modulo 109 + 7.
Return an integer array answer where answer.length == queries.length, and answer[i] is the answer to the ith query.
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Example 1:
\n\n\nInput: queries = [[2,6],[5,1],[73,660]]\nOutput: [4,1,50734910]\nExplanation: Each query is independent.\n[2,6]: There are 4 ways to fill an array of size 2 that multiply to 6: [1,6], [2,3], [3,2], [6,1].\n[5,1]: There is 1 way to fill an array of size 5 that multiply to 1: [1,1,1,1,1].\n[73,660]: There are 1050734917 ways to fill an array of size 73 that multiply to 660. 1050734917 modulo 109 + 7 = 50734910.\n\n\n
Example 2:
\n\n\nInput: queries = [[1,1],[2,2],[3,3],[4,4],[5,5]]\nOutput: [1,2,3,10,5]\n\n\n
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Constraints:
\n\n1 <= queries.length <= 104 1 <= ni, ki <= 104给你一个二维整数数组 queries ，其中 queries[i] = [ni, ki] 。第 i 个查询 queries[i] 要求构造长度为 ni 、每个元素都是正整数的数组，且满足所有元素的乘积为 ki ，请你找出有多少种可行的方案。由于答案可能会很大，方案数需要对 109 + 7 取余 。
请你返回一个整数数组 answer，满足 answer.length == queries.length ，其中 answer[i]是第 i 个查询的结果。
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示例 1：
\n\n\n输入：queries = [[2,6],[5,1],[73,660]]\n输出：[4,1,50734910]\n解释：每个查询之间彼此独立。\n[2,6]：总共有 4 种方案得到长度为 2 且乘积为 6 的数组：[1,6]，[2,3]，[3,2]，[6,1]。\n[5,1]：总共有 1 种方案得到长度为 5 且乘积为 1 的数组：[1,1,1,1,1]。\n[73,660]：总共有 1050734917 种方案得到长度为 73 且乘积为 660 的数组。1050734917 对 109 + 7 取余得到 50734910 。\n\n\n
示例 2 ：
\n\n\n输入：queries = [[1,1],[2,2],[3,3],[4,4],[5,5]]\n输出：[1,2,3,10,5]\n\n\n
\n\n
提示：
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