You are given a 0-indexed integer array nums of length n.
A split at an index i where 0 <= i <= n - 2 is called valid if the product of the first i + 1 elements and the product of the remaining elements are coprime.
nums = [2, 3, 3], then a split at the index i = 0 is valid because 2 and 9 are coprime, while a split at the index i = 1 is not valid because 6 and 3 are not coprime. A split at the index i = 2 is not valid because i == n - 1.Return the smallest index i at which the array can be split validly or -1 if there is no such split.
Two values val1 and val2 are coprime if gcd(val1, val2) == 1 where gcd(val1, val2) is the greatest common divisor of val1 and val2.
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Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/12/14/second.PNG\")
\n\nInput: nums = [4,7,8,15,3,5]\nOutput: 2\nExplanation: The table above shows the values of the product of the first i + 1 elements, the remaining elements, and their gcd at each index i.\nThe only valid split is at index 2.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/12/14/capture.PNG\")
\n\nInput: nums = [4,7,15,8,3,5]\nOutput: -1\nExplanation: The table above shows the values of the product of the first i + 1 elements, the remaining elements, and their gcd at each index i.\nThere is no valid split.\n\n\n
\n
Constraints:
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