Here's a test case generator for the "Disordered Data Detection" problem:

```python
import random

def tcgen():
    # Generate a random D within the given constraints
    D = random.randint(1, 100000)
    
    # Generate a list of D integers within the given constraints
    X = [random.randint(-10**8, 10**8) for _ in range(D)]
    
    # Generate a random Q within the given constraints
    Q = random.randint(1, 100000)
    
    queries = []
    for _ in range(Q):
        l = random.randint(1, D)
        r = random.randint(l, D)  # ensure 1 ≤ l ≤ r ≤ D
        e = random.randint(0, 10**8)
        queries.append((l, r, e))
    
    # Format the test case as specified
    test_case = f"{D}\n" + " ".join(map(str, X)) + f"\n{Q}\n"
    test_case += "\n".join(f"{l} {r} {e}" for l, r, e in queries)
    
    return test_case

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

This generator creates a random test case adhering to the constraints specified in the problem statement:

- The integer \( D \) is randomly chosen between 1 and 100,000.
- The sequence \( X \) consists of \( D \) integers, each between -10^8 and 10^8.
- The number of queries \( Q \) is randomly chosen between 1 and 100,000.
- Each query consists of three integers \( l \), \( r \), and \( e \) such that 1 ≤ \( l \) ≤ \( r \) ≤ \( D \) and 0 ≤ \( e \) ≤ 10^8.

The output format is a string that matches the input format required by the problem.