Sure! Below is a test case generator for the problem "The Oldest Site":

```python
import random

def generate_single_dataset():
    n = random.randint(1, 3000)
    pillars = set()
    
    while len(pillars) < n:
        x = random.randint(0, 5000)
        y = random.randint(0, 5000)
        pillars.add((x, y))

    pillars_list = list(pillars)
    
    dataset = f"{n}\n"
    for (x, y) in pillars_list:
        dataset += f"{x} {y}\n"
    
    return dataset

def tcgen():
    num_datasets = random.randint(1, 10)  # Generate between 1 and 10 datasets
    test_case = ""
    
    for _ in range(num_datasets):
        test_case += generate_single_dataset()
    
    test_case += "0"  # Termination line
    
    return test_case

# Example usage:
print(tcgen())
```

This script generates random test cases for the problem "The Oldest Site". Let's break down what it does:

1. **generate_single_dataset()**:
   - It generates a single dataset with a random number of pillars \( n \) (between 1 and 3000).
   - It ensures that each pillar's coordinates are unique by using a set.
   - The x and y coordinates are randomly chosen between 0 and 5000 inclusive.

2. **tcgen()**:
   - It creates between 1 and 10 datasets.
   - It appends each dataset to the final test case string.
   - It adds a termination line (`0`) at the end of the test case string.

3. **Example usage**:
   - You can print a generated test case to see the output.

You can run this script to generate random test cases for testing purposes.