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The optimal replacement policy, called OPT, is to evict the page which will be accessed farthest into the future. Since we can't predict the future precisely, we can't implement OPT in any real system. We can, however, run OPT on a saved trace of memory accesses, to measure how our real algorithm compares with OPT for a given trace.
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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