Question 61
Is it possible to place a positive integer in every cell of a $10 \times 10$ 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).
- 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).