$\sigma$ is a permutation on $n$ points and it can be written as a product of nonidentity cycles, how to calculate the number of odd nonidentity cycles in this product?
This number is congruent to $n\; (\mod\;2)$.
2026-04-05 17:22:51.1775409771
Given a permutation, how to calculate the number of nonidentity odd cycles of it?
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