Given the following page reference list: $4,2,0,1,2,6,1,4,0,1,0,2,3,5,7.$ Using the page replacement algorithms below, by drawing a table determine which $4$ pages will be persistent in memory by calculation page faults and page hits for each:

a$.$ First In First Out

b$.$ Least Recently Used.

frame is $4$ and draw a table