In Ref. [@Kuma10], LCP production is correlated with the nuclear stopping and is also found to have a maximum at 400 MeV/nucleon. IMF production is found to decrease after 100 MeV/nucleon. This is due to the different origin of the production of IMFs as compared to free and LCPs. For more details about the incident energy dependence of IMFs, see Ref. [@Kuma08].

Our main task is to check the sensitivities of the fragments in the high-density region. For this, we apply the limit that at least one particle must be produced before the time 20 fm/c, because, in an average, after that time the density becomes lower than normal nuclear matter density for all the incident energies under consideration. The free nucleons are highly sensitive at all the energies. This is not true for LCPs and IMFs. LCPs are produced in this region only after the incident energy reaches 200 MeV/nucleon. In contrast, no IMFs are produced in the supra-saturation density region. This means that IMFs are not so sensitive to the high-density dependence of symmetry energy; however, they can be used at sub-saturation and saturation densities [@Zhan08]. Interestingly, the single neutron-to-proton ratio from IMFs is found to change with 