olymmath

NZ-NZMO 2021 Problem 6

    Is it possible to place a positive integer in every cell of a 10×1010 \times 10 array in such a way that both the following conditions are satisfied?

    • Each number (not in the top row) is a proper divisor of the number immediately below.

    • Each row consists of 10 consecutive positive integers (but not necessarily in order).

    Dataset text NuminaMath olympiads. Quoted with source.

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