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Hence $X:= \\ell_O(C)\\subset \\mathbb{P}^n$ is a linearly normal cuspidal curve with degree $n+1$. For any $P = \\ell_O(B)$, $B\\in \\mathbb{P}^{n+1}$, the $X$-rank $r_X(P)$ of $P$ is the minimal cardinality of a set $S\\subset X$ whose linear span contains $P$. 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