Question 2
In each cell in the grid below, write exactly one of the numbers $1$, $2$, $3$, or $4$ such that:
**(a)** In each row and column, the four written numbers are distinct;
**(b)** For each region highlighted in bold, either the sum or the product of the written numbers is equal to $12$.
Explain your reasoning.

Answer grid:

**(a)** In each row and column, the four written numbers are distinct;
**(b)** For each region highlighted in bold, either the sum or the product of the written numbers is equal to $12$.
Explain your reasoning.

Answer grid:
