Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Connection between the Numbers of Permutations and Full Cycles with
  Some Restrictions on Positions and Up-Down Structure   We discuss both simple and more subtle connections between the numbers of
permutations and full cycles with some restrictions,in particular, between the
numbers of permutations and full cycles with prescribed up-down structure.

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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th