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ÖMO 1986 Problem 2

    For s,t∈Ns,t \in \mathbb{N} , consider the set M={(x,y)∈N2∣1≤x≤s,1≤y≤t}M=\{ (x,y) \in \mathbb{N} ^2 | 1 \le x \le s, 1 \le y \le t \} . Find the number of rhombi with the vertices in MM and the diagonals parallel to the coordinate axes.

    Dataset text AI-MO AoPS. Quoted with source.

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