  We consider recently developed Cohomological Field Theory soliton counting
diagram technique for Khovanov and Khovanov-Rozansky invariants [1,2]. Although
the expectation to obtain a new way for computing the invariants has not yet
come true, we demonstrate that soliton counting technique can be totally
formalized at an intermediate stage, at least in particular cases. We present
the corresponding algorithm, based on the approach involving deformed
$\mathcal{R}$-matrix and minimal positive division, developed previously in
[3]. We start from a detailed review of the minimal positive division approach,
comparing it with other methods, including the rigorous mathematical treatment
[4]. Pieces of data obtained within our approach are presented in the
Appendices.
