A small computer using paged memory has enough RAM to store four $1$K pages. A process is

using $6$K of memory, and accesses the pages in the sequence:

$12345$

After this there are $10$ more page accesses of the pages, so $15$ in total. You decide how the pages

are accessed but make sure that each page is accessed a further two times, and the same page is

not accessed consecutively. Calculate how many page faults will be generated