Parameter space for which a fCMF is compatible with the Maschberger (2013) cIMF in the sense of the AD test. Top: parameter space at which a fCMF is compatible with the cIMF at a 0.05 confidence level in the fragmentation rate (ϕ) versus mass transfer rate (ξ) diagram for the mass ratio (q) of different fragments. The yellow, blue, orange, green, red, and magenta patches highlight the solutions at R_stop = 741, 494, 329, 219, 146, 98 AU after l = 3, 4, 5, 6, 7, 8 levels of fragmentation, respectively. Crosses at q = 3.0 indicate points where the average total number of fragments produced at R_stop is ≈2.5. Bottom: fragmented CMF associated with the coloured labelled points. Dashed blue, red, and black lines represent the fCMF, cIMF, and the slope of the initial top-heavy CMF, respectively. The AD test is performed from M = 0.2 M_⊙ to M = 150 M_⊙ to compare the fCMF with the cIMF.