Completeness of the star counts in the deep NACO K_s images. a) Completeness in pointing 1 for different projected distance ranges from Sgr A*, for min_correlation = 0.80 and deblend = 0. b) As in a), but for min_correlation = 0.90 and deblend = 1. c) Completeness for all four pointings and within 5′′ of Sgr A*, for min_correlation = 0.80 and deblend = 0. The corresponding plots for other used combinations of min_correlation and deblend look very similar.