Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic methods of bypassing the maze using stones and a random
  number sensor   In this paper, some open questions that are posed in Ajans' dissertation
continue to be addressed: a robot bypass with a generator of random bits of
integer spaces in the presence of a stone and a subspace of flags. This work is
devoted to bypassing the maze with a finite state machine with a random bit
generator. This task is part of the rapidly evolving theme of bypassing the
maze by various finite state machines. or their teams, which is closely related
to problems from the theory of computational complexity and probability theory.
In this paper, it is shown at what dimensions a robot with a random bit
generator and a stone can bypass integer space with a subspace of flags. In
this paper, we will study the behavior of a finite state machine with a random
bit generator on integer spaces. In particular, it was proved that the robot
bypasses $ \ zs ^ 2 $ and cannot bypass $ \ zs ^ 3 $; a robot with a stone
bypasses $ \ zs ^ 4 $ and cannot bypass $ \ zs ^ 5 $; a robot with a stone and
a flag bypasses $ \ zs ^ 6 $ and cannot bypass $ \ zs ^ 7 $; a robot with a
stone and a plane of flags bypasses $ \ zs ^ 8 $ and cannot bypass $ \ zs ^ 9
$.

10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int