This paper is a continuation of our previous work where we investigatedthe class \(\mathbb{G}(M^{2})\) of \(A\) -diffeomorphisms of closed orientable connected surfaces suchthat their nonwandering sets consist of one-dimensional basic sets (attractors and repellers).In that work, we showed that the dynamical properties of each diffeomorphism from a givenclass define a collection consisting of nonempty multisets of natural numbers (each suchcollection contains at least two multisets). These multisets are topological invariants ofthe diffeomorphism and uniquely determine the topology of the ambient surface. In this paper,we solve the problem of realization of diffeomorphisms from the class \(\mathbb{G}(M^{2})\) withrespect to a given collection of multisets of natural numbers. We describe all possiblecollections of multisets from which one can construct a diffeomorphism from the class \(\mathbb{G}(M^{2})\) , presenting a step-by-step algorithm of construction.
