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In this paper, let n 2 be an integer, P = diag(-In-κ, Iκ,-In-κ, Iκ) for some integer κ∈ [0, n),and Σ∈ R2 nbe a partially symmetric compact convex hypersurface, i.e., x ∈Σ implies P x ∈Σ. We prove that if Σ is(r, R)-pinched withRr<21/2, then there exist