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def __init__(self) -> None: self.data: list[Any] = [] self.head: int = 0 self.tail: int = 0
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def is_empty(self) -> bool: return self.head == self.tail
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def push(self, data: Any) -> None: self.data.append(data) self.tail = self.tail + 1
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def pop(self) -> Any: ret = self.data[self.head] self.head = self.head + 1 return ret
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def count(self) -> int: return self.tail - self.head
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def print_queue(self) -> None: print(self.data) print("**************") print(self.data[self.head : self.tail])
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def __init__(self, data: Any) -> None: self.data = data self.left: MyNode | None = None self.right: MyNode | None = None self.height: int = 1
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def get_data(self) -> Any: return self.data
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def get_left(self) -> MyNode | None: return self.left
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def get_right(self) -> MyNode | None: return self.right
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def get_height(self) -> int: return self.height
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def set_data(self, data: Any) -> None: self.data = data return
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def set_left(self, node: MyNode | None) -> None: self.left = node return
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def set_right(self, node: MyNode | None) -> None: self.right = node return
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def set_height(self, height: int) -> None: self.height = height return
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def get_height(node: MyNode | None) -> int: if node is None: return 0 return node.get_height()
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def my_max(a: int, b: int) -> int: if a > b: return a return b
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def right_rotation(node: MyNode) -> MyNode: print("left rotation node:", node.get_data()) ret = node.get_left() assert ret is not None node.set_left(ret.get_right()) ret.set_right(node) h1 = my_max(get_height(node.get_right()), get_height(node.get_left())) + 1 node.set_height(h1) h2 = my...
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def left_rotation(node: MyNode) -> MyNode: print("right rotation node:", node.get_data()) ret = node.get_right() assert ret is not None node.set_right(ret.get_left()) ret.set_left(node) h1 = my_max(get_height(node.get_right()), get_height(node.get_left())) + 1 node.set_height(h1) h2 = my...
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def lr_rotation(node: MyNode) -> MyNode: left_child = node.get_left() assert left_child is not None node.set_left(left_rotation(left_child)) return right_rotation(node)
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def rl_rotation(node: MyNode) -> MyNode: right_child = node.get_right() assert right_child is not None node.set_right(right_rotation(right_child)) return left_rotation(node)
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def insert_node(node: MyNode | None, data: Any) -> MyNode | None: if node is None: return MyNode(data) if data < node.get_data(): node.set_left(insert_node(node.get_left(), data)) if ( get_height(node.get_left()) - get_height(node.get_right()) == 2 ): # an unbalance ...
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def get_right_most(root: MyNode) -> Any: while True: right_child = root.get_right() if right_child is None: break root = right_child return root.get_data()
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def get_left_most(root: MyNode) -> Any: while True: left_child = root.get_left() if left_child is None: break root = left_child return root.get_data()
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def del_node(root: MyNode, data: Any) -> MyNode | None: left_child = root.get_left() right_child = root.get_right() if root.get_data() == data: if left_child is not None and right_child is not None: temp_data = get_left_most(right_child) root.set_data(temp_data) r...
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def __init__(self) -> None: self.root: MyNode | None = None
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def get_height(self) -> int: return get_height(self.root)
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def insert(self, data: Any) -> None: print("insert:" + str(data)) self.root = insert_node(self.root, data)
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def del_node(self, data: Any) -> None: print("delete:" + str(data)) if self.root is None: print("Tree is empty!") return self.root = del_node(self.root, data)
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def __str__( self, ) -> str: # a level traversale, gives a more intuitive look on the tree output = "" q = MyQueue() q.push(self.root) layer = self.get_height() if layer == 0: return output cnt = 0 while not q.is_empty(): node ...
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def _test() -> None: import doctest doctest.testmod()
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def __init__(self, value: int | None = None): self.value = value self.prior = random() self.left: Node | None = None self.right: Node | None = None
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def __repr__(self) -> str: from pprint import pformat if self.left is None and self.right is None: return f"'{self.value}: {self.prior:.5}'" else: return pformat( {f"{self.value}: {self.prior:.5}": (self.left, self.right)}, indent=1 )
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def __str__(self) -> str: value = str(self.value) + " " left = str(self.left or "") right = str(self.right or "") return value + left + right
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def split(root: Node | None, value: int) -> tuple[Node | None, Node | None]: if root is None: # None tree is split into 2 Nones return None, None elif root.value is None: return None, None else: if value < root.value: left, root.left = split(root.left, value) ...
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def merge(left: Node | None, right: Node | None) -> Node | None: if (not left) or (not right): # If one node is None, return the other return left or right elif left.prior < right.prior: left.right = merge(left.right, right) return left else: right.left = merge(left, right.l...
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def insert(root: Node | None, value: int) -> Node | None: node = Node(value) left, right = split(root, value) return merge(merge(left, node), right)
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def erase(root: Node | None, value: int) -> Node | None: left, right = split(root, value - 1) _, right = split(right, value) return merge(left, right)
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def inorder(root: Node | None) -> None: if not root: # None return else: inorder(root.left) print(root.value, end=",") inorder(root.right)
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def interact_treap(root: Node | None, args: str) -> Node | None: for arg in args.split(): if arg[0] == "+": root = insert(root, int(arg[1:])) elif arg[0] == "-": root = erase(root, int(arg[1:])) else: print("Unknown command") return root
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def __init__(self, arr: list[T], fnc: Callable[[T, T], T]) -> None: any_type: Any | T = None self.N: int = len(arr) self.st: list[T] = [any_type for _ in range(self.N)] + arr self.fn = fnc self.build()
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def build(self) -> None: for p in range(self.N - 1, 0, -1): self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1])
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def update(self, p: int, v: T) -> None: p += self.N self.st[p] = v while p > 1: p = p // 2 self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1])
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def query(self, l: int, r: int) -> T | None: # noqa: E741 l, r = l + self.N, r + self.N res: T | None = None while l <= r: if l % 2 == 1: res = self.st[l] if res is None else self.fn(res, self.st[l]) if r % 2 == 0: res = self.st[r] if res...
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def test_all_segments() -> None: for i in range(len(test_array)): for j in range(i, len(test_array)): min_range = reduce(min, test_array[i : j + 1]) max_range = reduce(max, test_array[i : j + 1]) sum_range = reduce(lambda a, b: a + b, test_array[i : j ...
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def __init__(self, start, end, val, left=None, right=None): self.start = start self.end = end self.val = val self.mid = (start + end) // 2 self.left = left self.right = right
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def __repr__(self): return f"SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})"
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def __init__(self, collection: Sequence, function): self.collection = collection self.fn = function if self.collection: self.root = self._build_tree(0, len(collection) - 1)
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def update(self, i, val): self._update_tree(self.root, i, val)
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def query_range(self, i, j): return self._query_range(self.root, i, j)
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def _build_tree(self, start, end): if start == end: return SegmentTreeNode(start, end, self.collection[start]) mid = (start + end) // 2 left = self._build_tree(start, mid) right = self._build_tree(mid + 1, end) return SegmentTreeNode(start, end, self.fn(left.val, righ...
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def _update_tree(self, node, i, val): if node.start == i and node.end == i: node.val = val return if i <= node.mid: self._update_tree(node.left, i, val) else: self._update_tree(node.right, i, val) node.val = self.fn(node.left.val, node.righ...
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def _query_range(self, node, i, j): if node.start == i and node.end == j: return node.val if i <= node.mid: if j <= node.mid: # range in left child tree return self._query_range(node.left, i, j) else: # range in left ch...
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def traverse(self): if self.root is not None: queue = Queue() queue.put(self.root) while not queue.empty(): node = queue.get() yield node if node.left is not None: queue.put(node.left) if no...
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def __init__(self, arr: list[int] | None = None, size: int | None = None) -> None: if arr is None and size is not None: self.size = size self.tree = [0] * size elif arr is not None: self.init(arr) else: raise ValueError("Either arr or size must be...
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def init(self, arr: list[int]) -> None: self.size = len(arr) self.tree = deepcopy(arr) for i in range(1, self.size): j = self.next_(i) if j < self.size: self.tree[j] += self.tree[i]
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def get_array(self) -> list[int]: arr = self.tree[:] for i in range(self.size - 1, 0, -1): j = self.next_(i) if j < self.size: arr[j] -= arr[i] return arr
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def next_(index: int) -> int: return index + (index & (-index))
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def prev(index: int) -> int: return index - (index & (-index))
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def add(self, index: int, value: int) -> None: if index == 0: self.tree[0] += value return while index < self.size: self.tree[index] += value index = self.next_(index)
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def update(self, index: int, value: int) -> None: self.add(index, value - self.get(index))
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def prefix(self, right: int) -> int: if right == 0: return 0 result = self.tree[0] right -= 1 # make right inclusive while right > 0: result += self.tree[right] right = self.prev(right) return result
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def query(self, left: int, right: int) -> int: return self.prefix(right) - self.prefix(left)
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def get(self, index: int) -> int: return self.query(index, index + 1)
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def rank_query(self, value: int) -> int: value -= self.tree[0] if value < 0: return -1 j = 1 # Largest power of 2 <= size while j * 2 < self.size: j *= 2 i = 0 while j > 0: if i + j < self.size and self.tree[i + j] <= value: ...
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def __init__(self, value: int | None = None): self.value = value self.parent: Node | None = None # Added in order to delete a node easier self.left: Node | None = None self.right: Node | None = None
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def __repr__(self) -> str: from pprint import pformat if self.left is None and self.right is None: return str(self.value) return pformat({f"{self.value}": (self.left, self.right)}, indent=1)
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def __init__(self, root: Node | None = None): self.root = root
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def __str__(self) -> str: return str(self.root)
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def __reassign_nodes(self, node: Node, new_children: Node | None) -> None: if new_children is not None: # reset its kids new_children.parent = node.parent if node.parent is not None: # reset its parent if self.is_right(node): # If it is the right children node....
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def is_right(self, node: Node) -> bool: if node.parent and node.parent.right: return node == node.parent.right return False
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def empty(self) -> bool: return self.root is None
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def __insert(self, value) -> None: new_node = Node(value) # create a new Node if self.empty(): # if Tree is empty self.root = new_node # set its root else: # Tree is not empty parent_node = self.root # from root if parent_node is None: ret...
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def insert(self, *values) -> None: for value in values: self.__insert(value)
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def search(self, value) -> Node | None: if self.empty(): raise IndexError("Warning: Tree is empty! please use another.") else: node = self.root # use lazy evaluation here to avoid NoneType Attribute error while node is not None and node.value is not value:...
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def get_max(self, node: Node | None = None) -> Node | None: if node is None: if self.root is None: return None node = self.root if not self.empty(): while node.right is not None: node = node.right return node
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def get_min(self, node: Node | None = None) -> Node | None: if node is None: node = self.root if self.root is None: return None if not self.empty(): node = self.root while node.left is not None: node = node.left return node
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def remove(self, value: int) -> None: node = self.search(value) # Look for the node with that label if node is not None: if node.left is None and node.right is None: # If it has no children self.__reassign_nodes(node, None) elif node.left is None: # Has only ri...
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def preorder_traverse(self, node: Node | None) -> Iterable: if node is not None: yield node # Preorder Traversal yield from self.preorder_traverse(node.left) yield from self.preorder_traverse(node.right)
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def traversal_tree(self, traversal_function=None) -> Any: if traversal_function is None: return self.preorder_traverse(self.root) else: return traversal_function(self.root)
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def inorder(self, arr: list, node: Node | None) -> None: if node: self.inorder(arr, node.left) arr.append(node.value) self.inorder(arr, node.right)
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def find_kth_smallest(self, k: int, node: Node) -> int:
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def make_tree() -> Node | None: tree = Node(1) tree.left = Node(2) tree.right = Node(3) tree.left.left = Node(4) tree.left.right = Node(5) return tree
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def preorder(root: Node | None) -> list[int]: return [root.data, *preorder(root.left), *preorder(root.right)] if root else []
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def postorder(root: Node | None) -> list[int]: return postorder(root.left) + postorder(root.right) + [root.data] if root else []
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def inorder(root: Node | None) -> list[int]: return [*inorder(root.left), root.data, *inorder(root.right)] if root else []
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def height(root: Node | None) -> int: return (max(height(root.left), height(root.right)) + 1) if root else 0
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def level_order(root: Node | None) -> Sequence[Node | None]: output: list[Any] = [] if root is None: return output process_queue = deque([root]) while process_queue: node = process_queue.popleft() output.append(node.data) if node.left: process_queue.append...
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def populate_output(root: Node | None, level: int) -> None: if not root: return if level == 1: output.append(root.data) elif level > 1: populate_output(root.left, level - 1) populate_output(root.right, level - 1)
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def populate_output(root: Node | None, level: int) -> None: if root is None: return if level == 1: output.append(root.data) elif level > 1: populate_output(root.right, level - 1) populate_output(root.left, level - 1)
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def zigzag(root: Node | None) -> Sequence[Node | None] | list[Any]: if root is None: return [] output: list[Sequence[Node | None]] = [] flag = 0 height_tree = height(root) for h in range(1, height_tree + 1): if not flag: output.append(get_nodes_from_left_to_right(root,...
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def main() -> None: # Main function for testing. root = make_tree() print(f"In-order Traversal: {inorder(root)}") print(f"Pre-order Traversal: {preorder(root)}") print(f"Post-order Traversal: {postorder(root)}", "\n") print(f"Height of Tree: {height(root)}", "\n") print("Complete Level Order...
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def __init__( self, label: int | None = None, color: int = 0, parent: RedBlackTree | None = None, left: RedBlackTree | None = None, right: RedBlackTree | None = None, ) -> None: self.label = label self.parent = parent self.left = left s...
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def rotate_left(self) -> RedBlackTree: parent = self.parent right = self.right if right is None: return self self.right = right.left if self.right: self.right.parent = self self.parent = right right.left = self if parent is not None...
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def rotate_right(self) -> RedBlackTree: if self.left is None: return self parent = self.parent left = self.left self.left = left.right if self.left: self.left.parent = self self.parent = left left.right = self if parent is not None:...
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def insert(self, label: int) -> RedBlackTree: if self.label is None: # Only possible with an empty tree self.label = label return self if self.label == label: return self elif self.label > label: if self.left: self.left....
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def _insert_repair(self) -> None: if self.label == label: if self.left and self.right: # It's easier to balance a node with at most one child, # so we replace this node with the greatest one less than # it and remove that. value = self....
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def _remove_repair(self) -> None: is colored in a way which matches these five properties: (wording stolen from wikipedia article) 1. Each node is either red or black. 2. The root node is black. 3. All leaves are black. 4. If a node is red, then both its children are ...
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def sibling(self) -> RedBlackTree | None: if self.parent is None: return False return self.parent.left is self.parent.left is self
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def is_right(self) -> bool: Return the number of nodes in this tree. if not isinstance(other, RedBlackTree): return NotImplemented if self.label == other.label: return self.left == other.left and self.right == other.right else: return False
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