going through both low-and high-density region. At higher energies, a higher $N/Z$ ratio is observed with the stiff symmetry energy for the neutron rich system $^{132}$Sn + $^{132}$Sn at the time of maximum compression, which is true with the soft symmetry energy at the freeze-out time. The result is similar for free nucleons and LCPs. However, LCPs are not as sensitive and the ratio is even less than the ratio of the system. This is due to the excess number of protons involved in the production of LCPs compared to free nucleons. These protons will lower the ratio for LCPs.

It is clearly visible that the ratio at both times is almost the same with the stiff symmetry energy, but changes drastically with the soft symmetry energy. This is due to the fact that, at the time of maximum compression, the density is in the supra-saturation region and the stiff symmetry energy is much higher (see Fig.\[fig:3\]) than the soft symmetry energy. Therefore, the stiff symmetry energy is able to separate most of the neutrons near the time of maximum compression and then accelerate the neutrons toward higher kinetic energy at later times. However, the soft symmetry energy is not 