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Given $E$ and $F$ a point sets in $\\mathbb{R}^d$ and $p = (p_1, \\ldots, p_q)$ with $p_1+ \\cdots + p_q = d$ is an increasing partition of $d$ define $$ B_p(E,F)=\\{(|x_1-y_1|, \\ldots, |x_q-y_q|): x \\in E, y \\in F \\},$$ where $x=(x_1, \\ldots, x_q)$ with $x_i$ in $\\mathbb{R}^{p_i}$. For $p_1 \\geq 2$ it is not difficult to construct $E$ and $F$ such that $|B_{p}(E,F)|=1$. 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