Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The distribution of longest run lengths in integer compositions   We find the generating function for $C(n,k,r)$, the number of compositions of
$n$ into $k$ positive parts all of whose runs (contiguous blocks of constant
parts) have lengths less than $r$, using recent generalizations of the method
of Guibas and Odlyzko for finding the number of words that avoid a given list
of subwords.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat