$(10$ points$)$ Assume that the following two dimensional array is declared:

a : array $[1..4]$ of $[0..2]$ of integer;

The row index ranges from $1$ to $4$ and the column index ranges from $0$ to $2.$ The array

is stored at base memory address $1000.$ Each integer uses $4$ bytes. $($Note: The row

index does not start from $0$ as in $C-$based languages.$)$

$($a$)$ Produce a general access function to determine the address of the element a$[$i$][$j$]$

under row major order.

$($b$)$ Produce a general access function to determine the address of the element a$[$i$][$j$]$

under column major order.