For what values of
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does there exist an
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array of entries -1, 0 or 1 such that the
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sums obtained by summing the elements of the rows and the columns are all different?
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For what values of $n$ does there exist an $n \times n$ array of entries -1, 0 or 1 such that the $2 \cdot n$ sums obtained by summing the elements of the rows and the columns are all different?