Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automatic Enumeration of Generalized Menage Numbers   I describe an empirical-yet-rigorous, algorithm, based on Riordan's rook
polynomials and the so-called C-finite ansatz, fully implemented in the
accompanying Maple package
(http://www.math.rutgers.edu/~zeilberg/tokhniot/MENAGES ), MENAGES, that
reproduces in a few seconds, rigorously-proved enumeration theorems on
permutations with restricted positions, previously proved by quite a few
illustrious human mathematicians, and that can go far beyond any human
attempts.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys