Computed abundances of HC₃ N at t = 45.96 Myr as a function of the local electronic fraction of each SPH particle at the peak density of cloud B. The left panel shows the results of the k-mean clustering using k = 3 (the colors show the three identified clusters). This clustering was carried out on the PCs computed from the PCA analysis. The middle panel shows the same results but with a color coding that traces the C/O ratio computed just after the first density phase (i.e., at t ≈ 44.5 Myr) and the right panel with a color coding that traces the individual density of each SPH particle. From these plots, we find that the cluster in blue mostly traces all the particles with a high abundance of HC₃ N, a low electronic fraction on the order of n(e⁻ )∕n_H ≈ 10⁻⁸, and a C/O ratio larger than 1. The cluster in red mostly traces all the particles with a moderate to low abundance of HC₃ N, a high electronic fraction, and C/O ≲ 1. Finally, the cluster in gray traces all the particles with a low abundance of HC₃ N, a low electronic fraction, and a high local density (n_H ≳ 10⁵ cm⁻³ ).