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In the present paper, the main objective is to establish the following sharp reversed HLS inequality in the whole space $\\mathbb R^n$ \\[\\int_{\\mathbb R^n} \\int_{\\mathbb R^n} f(x) |x-y|^\\lambda g(y) dx dy \\geqslant \\mathscr C_{n,p,r} \\|f\\|_{L^p (\\mathbb R^n)}\\, \\|g\\|_{L^r (\\mathbb R^n)}\\] for any nonnegative functions $f\\in L^p(\\mathbb R^n)$, $g\\in L^r(\\mathbb R^n)$, and $p,r\\in (0,1)$, $\\lambda > 0$ such that $1/p + 1/r -\\lambda /n =2$. 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In the present paper, the main objective is to establish the following sharp reversed HLS inequality in the whole space $\\mathbb R^n$ \\[\\int_{\\mathbb R^n} \\int_{\\mathbb R^n} f(x) |x-y|^\\lambda g(y) dx dy \\geqslant \\mathscr C_{n,p,r} \\|f\\|_{L^p (\\mathbb R^n)}\\, \\|g\\|_{L^r (\\mathbb R^n)}\\] for any nonnegative functions $f\\in L^p(\\mathbb R^n)$, $g\\in L^r(\\mathbb R^n)$, and $p,r\\in (0,1)$, $\\lambda > 0$ such that $1/p + 1/r -\\lambda /n =2$. 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