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Enhanced second-chance algorithm.
When we increase the second-chance algorithm by considering both the reference bit and the modify bit as an order pair. We have the following four possible classes.
a) (0,0) neither recently used nor modified - best page to replace.
b) (0,1) not recently used but modified - not quite as good.
c) (1,0) recently used but clean - it probably will be used again soon.
Safety algorithm : This is to make sure if the system is in safe state or not. It may need an order of m x n2 operation to determine if the state of the system is safe or not.
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