28th All Russian Mathematical Olympiad Problems 2002

1.  Can the cells of a 2002 x 2002 table be filled with the numbers from 1 to 20022 (one per cell) so that for any cell we can find three numbers a, b, c in the same row or column (or the cell itself) with a = bc? 2.  ABC is a triangle. D is a point on the side BC. A is equidistant from the incenter of ABD and the excenter of ABC which lies on the internal angle

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