You are given an integer array nums of length n and an integer array queries.
Let gcdPairs denote an array obtained by calculating the GCD of all possible pairs (nums[i], nums[j]), where 0 <= i < j < n, and then sorting these values in ascending order.
For each query queries[i], you need to find the element at index queries[i] in gcdPairs.
Return an integer array answer, where answer[i] is the value at gcdPairs[queries[i]] for each query.
The term gcd(a, b) denotes the greatest common divisor of a and b.
\n
Example 1:
\n\nInput: nums = [2,3,4], queries = [0,2,2]
\n\nOutput: [1,2,2]
\n\nExplanation:
\n\ngcdPairs = [gcd(nums[0], nums[1]), gcd(nums[0], nums[2]), gcd(nums[1], nums[2])] = [1, 2, 1].
After sorting in ascending order, gcdPairs = [1, 1, 2].
So, the answer is [gcdPairs[queries[0]], gcdPairs[queries[1]], gcdPairs[queries[2]]] = [1, 2, 2].
Example 2:
\n\nInput: nums = [4,4,2,1], queries = [5,3,1,0]
\n\nOutput: [4,2,1,1]
\n\nExplanation:
\n\ngcdPairs sorted in ascending order is [1, 1, 1, 2, 2, 4].
Example 3:
\n\nInput: nums = [2,2], queries = [0,0]
\n\nOutput: [2,2]
\n\nExplanation:
\n\ngcdPairs = [2].
\n
Constraints:
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