class SortedPriorityQueue(PriorityQueueBase):
    """A min-oriented priority queue implemented with a sorted list."""
    def __init__(self):
        """Create a new empty Priority Queue."""
        self._data = PositionalList()

    def __len__(self):
        """Return the number of items in the priority queue."""
        return len(self._data)

    def add(self, key, value):
        """Add a key-value pair."""
        newest = self._Item(key, value)
        walk = self._data.last()  # walk backward looking for smaller key
        while walk is not None and newest < walk.element():
            walk = self._data.before(walk)
        if walk is None:
            self._data.add_first(newest)  # new key is the smallest
        else:
            self._data.add_after(walk, newest)  # newest goes after walk

    def min(self):
        """Return but do not remove (k, v) tuple with minimum key."""
        if self.is_empty():
            raise Empty('Priority queue is empty.')
        p = self._data.first()
        item = p.element()
        return (item._key, item._value)

    def remove_min(self):
        """Remove and return (k, v) tuple with minimum key from the priority queue."""
        if self.is_empty():
            raise Empty('Priority queue is empty.')
        item = self._data.delete(self._data.first())
        return (item._key, item._value)
    def test_add_first_inserts_element_at_front_and_returns_Position(self):
        pl = PositionalList()
        element = 'foo'

        result_position = pl.add_first(element)

        self.assertIs(result_position._node._element, element)
        self.assertIs(result_position._node._prev, pl._header)
        self.assertIs(pl._header._next, result_position._node)