def test_inserting(self):
     node = TreapNode(10, "10")
     node = node.get_with_inserted(20, "20")
     node = node.get_with_inserted(102, "102")
     node = node.get_with_inserted(101, "101")
     node = node.get_with_inserted(2, "2")
     return self.assertTrue(2 in node)
    def test_get_no_key_in_treap(self):
        node = TreapNode(10, "100")
        with self.assertRaises(KeyError) as context:
            node.get(20)

        self.assertTrue(
            check_error_message(context, "Key '20' isn't in the treap."))
    def test_update_no_key_in_treap(self):
        node = TreapNode(10, "100")
        with self.assertRaises(KeyError) as context:
            node.update(20, "100")

        self.assertTrue(
            check_error_message(
                context,
                "Unable to update because there is no key '20' in the treap"))
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    def __setitem__(self, key: K, value: V) -> None:
        if self._top is not None and key in self:
            self._top.update(key, value)
        else:
            if self._top is None:
                self._top = TreapNode(key, value)
            else:
                self._top = self._top.get_with_inserted(key, value)

            self._length += 1
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    def insert(self, key: K, value: V, priority: P) -> None:
        """Inserts a new pair (key, value) with a priority."""

        if key in self:
            raise KeyError(f"The key '{key}' is already in the tree")

        if self._top is None:
            self._top = TreapNode(key, value)
        else:
            self._top = self._top.get_with_inserted(key, value, priority)

        self._length += 1
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class Treap(MutableMapping[K, V], Generic[K, P]):
    _top: Optional["TreapNode[K, P]"]
    _length: int

    def __init__(self):
        self._length = 0
        self._top = None

    def __setitem__(self, key: K, value: V) -> None:
        if self._top is not None and key in self:
            self._top.update(key, value)
        else:
            if self._top is None:
                self._top = TreapNode(key, value)
            else:
                self._top = self._top.get_with_inserted(key, value)

            self._length += 1

    def insert(self, key: K, value: V, priority: P) -> None:
        """Inserts a new pair (key, value) with a priority."""

        if key in self:
            raise KeyError(f"The key '{key}' is already in the tree")

        if self._top is None:
            self._top = TreapNode(key, value)
        else:
            self._top = self._top.get_with_inserted(key, value, priority)

        self._length += 1

    def __delitem__(self, key: K) -> None:
        if self._top is None:
            raise KeyError("Treap is empty.")

        if key not in self:
            raise KeyError(f"Key '{key}' isn't in the treap.")

        self._top = self._top.get_with_removed(key)

        self._length -= 1

    def __getitem__(self, key: K) -> V:
        if self._top is None:
            raise KeyError("Treap is empty.")

        if key not in self:
            raise KeyError(f"Key '{key}' isn't in the treap.")

        return self._top.get(key)

    def __len__(self) -> int:
        return self._length

    def __iter__(self) -> Iterator[K]:
        """Returns an iterator that traverses the keys in ascending order"""

        if self._top is None:
            yield from ()
        else:
            yield from self._top

    def __reversed__(self) -> Iterator[K]:
        """Returns an iterator that traverses the keys in descending order"""

        if self._top is None:
            yield from ()
        else:
            yield from reversed(self._top)

    # mypy requires the argument to be of type "object" ("Any") to match the "Mapping" supertype
    def __contains__(self, key: Any) -> bool:
        return self._top is not None and cast("K", key) in self._top
 def test_contains_after_removing(self):
     node = TreapNode(5, "20")
     node = node.get_with_inserted(20, "20")
     node = node.get_with_removed(5)
     return self.assertFalse(5 in node)
 def test_get_one_node(self):
     node = TreapNode(10, "10")
     return self.assertEqual(node.get(10), "10")
 def test_update(self):
     node = TreapNode(10, "10")
     node = node.get_with_inserted(20, "20")
     node = node.get_with_inserted(-10, "-10")
     node.update(20, 100)
     return self.assertEqual(node.get(20), 100)
 def test_removing(self):
     node = TreapNode(10, "10")
     node = node.get_with_inserted(20, "20")
     node = node.get_with_removed(10)
     return self.assertFalse(10 in node)
 def test_contains_several_nodes(self):
     node = TreapNode(10, "10")
     node = node.get_with_inserted(20, "30")
     node = node.get_with_inserted(100, "30")
     return self.assertTrue(100 in node)
 def test_contains_no_key_in_treap(self):
     node = TreapNode("cdd", 30)
     node = node.get_with_inserted("ab", 23)
     return self.assertFalse("zero" in node)
 def test_contains_one_node(self):
     node = TreapNode(10, "10")
     return self.assertTrue(10 in node)
def get_big_treap_node():
    node = TreapNode(-1, "-1")
    keys = set([random.randint(0, 500) for _ in range(100)])
    for key in keys:
        node = node.get_with_inserted(key, f"{key}")
    return node