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(15) Physical memory consists of 3 page frames, initially all empty. The following reference string is processed: 0 1 4 0 2 3 0 1 0 2 3 4 2 3 (a) Show which pages are resident under the optimal page replacement algorithm. Indicate when page faults happen. (b) Show which pages are resident under the FIFO page replacement algorithm. Indicate when page faults happen. (c) Show which pages are resident under the LRU page replacement algorithm. Indicate when page faults happen.

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