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Square Elements in List

Write a Python function `square_nums(nums)` that takes a list of integers `nums` as input and returns a new list containing the squares of each element in the input list.

#### Example Usage
```python [main.nopy]
print(square_nums([1, 2, 3, 4, 5]))  # Output: [1, 4, 9, 16, 25]
print(square_nums([10, 20, 30]))     # Output: [100, 400, 900]
print(square_nums([12, 15]))        # Output: [144, 225]
```

#### Constraints
- The input list will only contain integers.
- The function should return a new list without modifying the original list.
def square_nums(nums):
    """
    Given a list of integers, return a new list containing the squares of each element.

    Args:
    nums (list): A list of integers.

    Returns:
    list: A list containing the squares of the input integers.
    """
    # Placeholder for the solution
    pass
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