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APMO 1992 Problem 4

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Determine all pairs (h,s)(h, s) of positive integers with the following property: If one draws hh horizontal lines and another ss lines which satisfy (i) they are not horizontal, (ii) no two of them are parallel, (iii) no three of the h+sh+s lines are concurrent, then the number of regions formed by these h+sh+s lines is 1992 .

Dataset text NuminaMath olympiads. Quoted with source.

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(995,1), (176,10), (80,21)

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