Sure! Here is a test case generator for the given Knapsack Problem with Limitations:

```python
import random

def tcgen():
    N = random.randint(1, 100)
    W = random.randint(1, 10000)
    
    items = []
    for _ in range(N):
        v = random.randint(1, 1000)
        w = random.randint(1, 1000)
        m = random.randint(1, 10000)
        items.append((v, w, m))
    
    return (N, W, items)

def format_test_case(N, W, items):
    test_case = f"{N} {W}\n"
    for (v, w, m) in items:
        test_case += f"{v} {w} {m}\n"
    return test_case

# Example usage
N, W, items = tcgen()
test_case = format_test_case(N, W, items)
print(test_case)
```

This generator will produce random test cases for the knapsack problem with limitations, adhering to the constraints specified in the problem statement. Here is how it works:

1. It randomly selects the number of items \(N\) between 1 and 100.
2. It randomly selects the maximum weight \(W\) of the knapsack between 1 and 10000.
3. For each item, it randomly selects the value \(v\) between 1 and 1000, weight \(w\) between 1 and 1000, and limitation \(m\) between 1 and 10000.
4. The `format_test_case` function formats the generated test case into the required input format.

You can use the `tcgen` and `format_test_case` functions to generate and format test cases for your problem.