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Moreover, if this bound is reached, then $\\mathcal{W}$ is minimally affinely dependent, in other words, it is a circuit in $\\mathbb{R}^n$. For any positive integer number $n$, we determine all circuits $\\mathcal{W}\\subset\\mathbb{R}^n$ which can support a polynomial system with $n+1$ non-degenerate positive solutions. 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