Determine for the following code how many pages are transferred between disk and main memory (you must count reads and writes separately!), assuming each page has 1000 words, the active memory set size is 1000 (i. e., at any time no more than 1000 pages may be in main memory), and the replacement strategy is LRU (the Least Recently Used page is always replaced); also assume that all two-dimensional arrays are of size (1:2000, 1:2000), with each array element occupying one word, for i := 1 to 4000 do
for J :=1 to 4000 do

{ A[I, J]:=A[I, J]*B[I, J]; }

provided the arrays are mapped into the main memory space (a) in row-major order, (b) in column-major order.