Certainly! Based on the problem statement for "How many ways?", I will create a test case generator that produces multiple datasets and terminates with the end symbols (0, 0). The function will ensure that each dataset adheres to the constraints provided.

Here's the test case generator:

```python
import random

def generate_test_cases(num_cases):
    test_cases = []
    
    for _ in range(num_cases):
        n = random.randint(3, 100)
        x = random.randint(0, 300)
        
        # Ensure we are not generating the terminating case until the end
        if (n, x) != (0, 0):
            test_cases.append((n, x))
    
    # Adding the terminating case (0, 0)
    test_cases.append((0, 0))
    
    return test_cases

# Example usage:
num_cases = 5  # Number of non-terminating test cases to generate
test_cases = generate_test_cases(num_cases)
for tc in test_cases:
    print(f"{tc[0]} {tc[1]}")
```

This function `generate_test_cases` takes an argument `num_cases` to specify the number of non-terminating test cases to generate. It generates random values for `n` and `x` within the specified constraints, ensuring that the terminating case `(0, 0)` is only added once at the end. Each test case is printed in the format expected by the problem.

Sample output might look like this:
```
45 127
10 28
100 250
3 5
78 195
0 0
```

You can adjust the `num_cases` variable to generate more or fewer test cases as needed.