Max Absolute Product Tuples

Write a Python function `max_product_tuple` that takes a list of tuples as input. Each tuple contains two integers. The function should return the maximum absolute product of the two integers in any tuple from the list.

#### Example Usage
```python [main.nopy]
print(max_product_tuple([(2, 7), (2, 6), (1, 8), (4, 9)]))  # Output: 36
print(max_product_tuple([(10, 20), (15, 2), (5, 10)]))      # Output: 200
print(max_product_tuple([(11, 44), (10, 15), (20, 5)]))     # Output: 484
```

#### Constraints
- The input list will contain at least one tuple.
- Each tuple will contain exactly two integers.
- The integers can be positive, negative, or zero.
def max_product_tuple(list_of_tuples):
    """
    Calculate the maximum absolute product of two integers in any tuple from the list.

    Args:
    list_of_tuples (list of tuple): A list of tuples, each containing two integers.

    Returns:
    int: The maximum absolute product.
    """
    # Placeholder for the solution
    pass
Intermediate functionslistsmath
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