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To solve this problem, we need to fill in the tables for both the FIFO (First In, First Out) and LRU (Least Recently Used) page replacement algorithms. The page numbers referenced are:

```
4, 0, 1, 2, 0, 1, 3, 1, 4, 1, 2, 3, 2, 0, 0, 3
```

We are given that:

- The memory has 4 blocks (A, B, C, D).
- Two blocks (BlocA and BlocC) are already filled. The sequence begins by referencing these pages as given.

Let's walk through each algorithm to fill in the tables:

### 1. FIFO (First In, First Out) Page Replacement

In FIFO, the oldest loaded page is replaced first when a new page is referenced.

Steps for FIFO:
- Start by referencing page 4. Place it in an empty block.
- Reference page 0. Place it in another empty block.
- Continue referencing pages and replace blocks when needed, based on the order they were loaded.

### 2. LRU (Least Recently Used) Page Replacement

In LRU, the least recently used page is replaced when a new page is referenced. This means we need to track which page has been used most recently and replace the one that hasn't been used for the longest time.

Steps for LRU:
- Follow the same referencing sequence.
- Replace the least recently used page when all blocks are full.

I'll now fill in both tables based on these algorithms.Here are the filled tables based on the FIFO and LRU algorithms:

### FIFO (First In, First Out) Table:
```
4  0  1  2  0  1  3  1  4  1  2  3  2  0  0  3
A | 4  4  4  4  4  4  3  3  3  3  3  3  3  3  3  3
B | -  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4
C | -  -  1  1  1  1  1  1  1  1  1  1  1  0  0  0
D | -  -  -  2  2  2  2  2  2  2  2  2  2  2  2  2
```

### LRU (Least Recently Used) Table:
```
4  0  1  2  0  1  3  1  4  1  2  3  2  0  0  3
A | 4  4  4  4  4  4  3  3  3  3  3  3  3  3  3  3
B | -  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2
C | -  -  1  1  1  1  1  1  1  1  1  1  1  1  1  1
D | -  -  -  2  2  2  2  2  4  4  4  4  4  0  0  0
```

### Explanation:
- **FIFO** replaces the oldest page first, regardless of recent use.
- **LRU** replaces the least recently used page.

Would you like further clarification or additional details?

Here are some questions to consider:
1. What would happen if we had more than 4 blocks?
2. How does LRU perform compared to FIFO in real-time systems?
3. Can FIFO ever outperform LRU?
4. What is the main drawback of the FIFO algorithm?
5. How does the size of memory (number of blocks) affect page faults in both algorithms?

#### Tip:  
In practice, LRU is often preferred in systems where minimizing page faults is crucial since it adapts based on actual usage.

Représenter l'évolution des entrées de la table des pages, c’est-à-dire dans quel bloc se trouve la page référencée, en utilisant les algorithmes FIFO et LRU.

Understand how the FIFO and LRU page replacement algorithms work by filling in the evolution of page tables for a given sequence of page references. This practical exercise illustrates key operating system concepts, such as page faults and memory management.

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