Array-initialization loops using lru replacement algorithm, Operating System

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Q. Consider the two-dimensional array A:

int A[][] = new int[100][100];

Whereas A [0][0] is at location 200 in a paged memory system with pages of size 200. A little process is in page 0 (locations 0 to 199) for manipulating the matrix thus every instruction fetch will be from page 0.

For three page frames how various page faults are generated by the following array-initialization loops using LRU replacement and assuming page frame 1 has the process in it and the other two are initially empty?

a.

for (int j = 0; j < 100; j++)

for (int i = 0; i < 100; i++)

A[i][j] = 0;

b.

for (int i = 0; i < 100; i++)

for (int j = 0; j < 100; j++)

A[i][j] = 0;

Answer:

a. 50

b. 5,000


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