This class keeps track of the active and inactive indices.
This class divides the items based on their keys into a number of bins.
A brute force algorithm, or brute-force search or exhaustive search, also known as generate and test, is a very general problem-solving technique that consists of systematically enumerating all possible candidates for the solution and checking whether each candidate satisfies the problem's statement.
The Cartesian product can be generalized to the n-ary Cartesian product over n sets X1, ..., Xn.
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