Sure, here is a test case generator for the given problem statement:

```python
import random

def tcgen():
    N = random.randint(1, 2 * 10**5)
    
    A = [random.randint(1, 10**6) for _ in range(N)]
    
    return N, A

# Generate a test case and print it in the required format
N, A = tcgen()
print(N)
print(" ".join(map(str, A)))
```

### Explanation of the Test Case Generator

1. **N Generation**: 
    - We generate a random integer \( N \) in the range \([1, 2 \times 10^5]\). This ensures that the size of the array adheres to the problem constraints.

2. **A Generation**:
    - We generate a list \( A \) of size \( N \) with each element being a random integer in the range \([1, 10^6]\). This ensures that each element in the array adheres to the problem constraints.

3. **Output**:
    - The generated test case is printed in the required format: 
        - First, the integer \( N \) is printed.
        - Then, the list \( A \) is printed as space-separated integers.

This generator will help create numerous test cases to validate the solution of the problem.