Question 112
The numbers $1, 2, \dots, 2025$ are placed in the cells of a $45 \times 45$ grid so that each pair of consecutive integers occupies adjacent cells (i.e., sharing a common edge). Is it possible that all perfect squares $1^2, 2^2, \dots, 45^2$ lie in the same row?
(Nursoltan Khavalbolot)
(Nursoltan Khavalbolot)