  Sarkar and Wang proved that the hat version of Heegaard Floer homology group
of a closed oriented 3-manifold is combinatorial starting from an arbitrary
nice Heegaard diagram and in fact every closed oriented 3-manifold admits such
a Heegaard diagram. Plamenevskaya showed that the contact Ozsvath-Szabo
invariant is combinatorial once we are given an open book decomposition
compatible with a contact structure. The idea is to combine the algorithm of
Sarkar and Wang with the recent description of the contact Ozsvath-Szabo
invariant due to Honda, Kazez and Matic. Here we simply observe that the hat
version of the Heegaard Floer homology group and the contact Ozsvath-Szabo
invariant in this group can be combinatorially calculated starting from a
contact surgery diagram. We give detailed examples pointing out to some
shortcuts in the computations.
