from both ratios, as the pion ratio results were recently compared with the FOPI experimental findings. Second, one has to avoid choosing randomly any type of fragment to study the supra-saturation density dependence of symmetry energy. For this, it is important to check whether or not a particular type of fragment is formed in the region $\rho>\rho_0$, which is simple when one addresses the sub-saturation density dependence of symmetry energy. Finally, with increasing incident energy, the time evolution of the density has a different trend at two extremes: one at the time of maximum compression and the second at the freeze-out time (t = 200 fm/c). It also becomes interesting to see the different stiffnesses of the symmetry energy dependence of the neutron-to-proton ratio for incident energies at the time of maximum compression and at freeze-out time.

In the concluding remarks of this paper, we have tried to address the following goals:

-   [To check the sensitivities of different kind of fragments to the high-density behavior of symmetry energy.]{}

-   [To check the behavior of the neutron-to-proton ratio at the time of maximum compression and at freeze-out time.]{}

-   [To check the isospin asymmetry and incident energy dependences of single 