that is under way in many laboratories all over the world.

In contrast, the present status of supra-saturation density dependence of the symmetry energy is quite uncertain and interesting. The high-density behavior of the symmetry energy in the literature is studied by using two important parameters: one is the yield ratio parameter and second is the flow parameter. The yield ratio parameter has been studied in term of single and double ratios of neutrons to protons [@Li02; @Li04; @Li07], single and double ratios of $\pi^-/\pi^+$ [@Li02; @Li03; @Q05; @Wolt09; @Li09; @Feng10; @Zhang10], the $\Sigma^-/\Sigma^+$ ratio [@Q05], the $K^-/K^+$ ratio [@Wolt09], and isospin fractionation [@Li07], while, the flow parameter has been studied in terms of relative and differential flows (single and double ratios) of neutrons to protons or $^3$H to $^3$He [@Li02; @Yong06], and in terms of the ratio [@Ruso11] or difference [@Cozm11] of neutron-to-proton elliptic flow. Before using the $^3$H and $^3$He particle yield and flow ratios for the density dependence of the symmetry energy at high incident energies, one must check the production of these particles in the supra-saturation density region, which is obtained during the highly compressed stage only. However, the production of neutrons and protons occurs in 