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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

2 votes

finding the parity of a permutation in little space

I can suggest an algorithm with $\tilde{O}(\sqrt{n})$ space and $\tilde{O}(n \sqrt{n})$ time complexities. One can divide the array into $\sqrt{n}$ chunks of similar size and compute number of inversi …
Vsevolod Oparin's user avatar