  The inverse solution of the 1D Parker dynamo equations is considered. The
method is based on minimization of the cost-function, which characterize
deviation of the model solution properties from the desired ones. The output is
the latitude distribution of the magnetic field generation sources: the
$\alpha$- and $\omega$-effects. Minimization is made using the Monte-Carlo
method. The details of the method, as well as some applications, which can be
interesting for the broad dynamo community, are considered: conditions when the
invisible for the observer at the surface of the planet toroidal part of the
magnetic field is much larger than the poloidal counterpart. It is shown that
at some particular distributions of $\alpha$ and $\omega$ the well-known thesis
that sign of the dynamo-number defines equatorial symmetry of the magnetic
field to the equator plane, is violated. It is also demonstrated in what
circumstances magnetic field in the both hemispheres have different properties,
and simple physical explanation of this phenomenon is proposed.
