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Consider the virtual page reference string

$\text{1, 2, 3, 2, 4, 1, 3, 2, 4, 1}$

On a demand paged virtual memory system running on a computer system that main memory size of $3$ pages frames which are initially empty. Let $\text{LRU, FIFO}$ and $\text{OPTIMAL}$ denote the number of page faults under the corresponding page replacement policy. Then

  1. $\text{OPTIMAL < LRU < FIFO}$
  2. $\text{OPTIMAL < FIFO < LRU}$
  3. $\text{OPTIMAL = LRU}$
  4. $\text{OPTIMAL = FIFO}$
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