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An effective model is used to study the equation of state (EOS) of strange hadronic matter with nucleons, Ahyperons and -hyperons. In the calculation, a newest weak hyperon-hyperon (Y-Y) interaction deduced from the recent observation [Phys. Rev. Lett. 87 (2001)212502-1] of a 6AAHe double hypeucleus is adopted. The calculated results are compared to those calculated with the strong Y-Y interaction used in previous studies.