Question 13
In each of the boxes of a square table $4 \times 4$ the figure is written $1$ or the figure $2$. It is known that the sum of $9$ figures contained in each of the $4$ squares $3 \times 3$ contained in the table is multiple of $4$, while the sum of all $16$ digits is not multiple of $4$. determine the maximum and minimum possible value for the sum of all $16$ figures.