```python
def fold_ends(values: list) -> list:
    """
    Fold a list onto itself by adding the first entry to the last,
    the second to the second-last, and so on, returning the totals in that order.
    A list of an odd length leaves its middle entry as its own total.
    """
    if not values:
        return []

    n = len(values)
    totals = []
    for i in range(n // 2 + 1):
        totals.append(values[i] + values[n - i - 1])
    
    return totals
```