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Count Unequal Pairs

Write a Python function `count_unequal_pairs(lst)` that takes a list of integers `lst` and returns the number of unordered pairs `(i, j)` where `i < j` and `lst[i] != lst[j]`.

#### Example Usage
```python [main.nopy]
print(count_unequal_pairs([1, 2, 1]))  # Output: 2
print(count_unequal_pairs([1, 1, 1, 1]))  # Output: 0
print(count_unequal_pairs([1, 2, 3, 4, 5]))  # Output: 10
```

#### Constraints
- The input list will have at least two elements.
- The elements of the list are integers.
def count_unequal_pairs(lst):
    """
    Count the number of unordered pairs (i, j) where i < j and lst[i] != lst[j].

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

    Returns:
        int: The count of such pairs.
    """
    # Initialize the count variable
    count = 0
    # Implement the logic to count the pairs
    # Placeholder for the solution
    return count