Suppose a programming language PL_m that supports multi-dimensional arrays. Your program written in PL_m contains a two-dimensional array, say A[100,50] (100 rows x 50 columns). You learned that (a) each element of the array requires 2 bytes of memory, and (b) A[0,0] and A[10,1] are stored at memory addresses 1000 and 2002, respectively, on a byte-addressable machine.

Does PL_m use row-major order or column-major order? Justify your answer by stating the reason.

Write a formula that, given valid indexes and j, gives the memory address where A[i,j] is stored.

Calculate the memory address of A[10,10].