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def color(node: RedBlackTree | None) -> int:
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def test_insertion_speed() -> bool: tree = RedBlackTree(-1) for i in range(300000): tree = tree.insert(i) return True
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def test_insert() -> bool: tree = RedBlackTree(0) tree.insert(8) tree.insert(-8) tree.insert(4) tree.insert(12) tree.insert(10) tree.insert(11) ans = RedBlackTree(0, 0) ans.left = RedBlackTree(-8, 0, ans) ans.right = RedBlackTree(8, 1, ans) ans.right.left = RedBlackTree(4, 0,...
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def test_insert_and_search() -> bool: insertion and removal of elements, and the balancing of the tree. tree = RedBlackTree(0) tree.insert(-16) tree.insert(16) tree.insert(8) tree.insert(24) tree.insert(20) tree.insert(22) tuples = [(-20, None, -16), (-10, -16, 0), (8, 8, 8), (50, 24...
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def test_min_max() -> bool: tree = RedBlackTree(0) tree = tree.insert(-16) tree.insert(16) tree.insert(8) tree.insert(24) tree.insert(20) tree.insert(22) if list(tree.inorder_traverse()) != [-16, 0, 8, 16, 20, 22, 24]: return False if list(tree.preorder_traverse()) != [0, -16...
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def __init__(self, value: int) -> None: self.value = value self.left: Node | None = None self.right: Node | None = None
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def __init__(self) -> None: self.paths = 0
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def depth_first_search(self, node: Node | None, path_sum: int) -> None: if node is None: return if path_sum == self.target: self.paths += 1 if node.left: self.depth_first_search(node.left, path_sum + node.left.value) if node.right: self.d...
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def path_sum(self, node: Node | None, target: int | None = None) -> int: if node is None: return 0 if target is not None: self.target = target self.depth_first_search(node, node.value) self.path_sum(node.left) self.path_sum(node.right) return sel...
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def make_tree() -> TreeNode: return TreeNode(3, TreeNode(9), TreeNode(20, TreeNode(15), TreeNode(7)))
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def depth_first_search( root: TreeNode | None, depth: int, right_view: list[int]
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def depth_first_search( root: TreeNode | None, depth: int, left_view: list[int]
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def breadth_first_search(root: TreeNode, top_view: list[int]) -> None: queue = [(root, 0)] lookup = defaultdict(list) while queue: first = queue.pop(0) node, hd = first lookup[hd].append(node.val) if node.left: queue.append((node...
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def breadth_first_search(root: TreeNode, bottom_view: list[int]) -> None: queue = [(root, 0)] lookup = defaultdict(list) while queue: first = queue.pop(0) node, hd = first lookup[hd].append(node.val) if node.left: queue.append((no...
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def count_nodes(node: TreeNode | None) -> int: if node is None: return 0 return count_nodes(node.left) + count_nodes(node.right) + 1
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def count_coins(node: TreeNode | None) -> int: if node is None: return 0 return count_coins(node.left) + count_coins(node.right) + node.data
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def get_distrib(node: TreeNode | None) -> CoinsDistribResult: if node is None: return CoinsDistribResult(0, 1) left_distrib_moves, left_distrib_excess = get_distrib(node.left) right_distrib_moves, right_distrib_excess = get_distrib(node.right) coins_to_left = 1 - left_dist...
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def __init__(self, data: int) -> None: self.data = data self.left: Node | None = None self.right: Node | None = None
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def display(tree: Node | None) -> None: # In Order traversal of the tree if tree: display(tree.left) print(tree.data) display(tree.right)
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def depth_of_tree(tree: Node | None) -> int: return 1 + max(depth_of_tree(tree.left), depth_of_tree(tree.right)) if tree else 0
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def is_full_binary_tree(tree: Node) -> bool: if not tree: return True if tree.left and tree.right: return is_full_binary_tree(tree.left) and is_full_binary_tree(tree.right) else: return not tree.left and not tree.right
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def main() -> None: # Main function for testing. tree = Node(1) tree.left = Node(2) tree.right = Node(3) tree.left.left = Node(4) tree.left.right = Node(5) tree.left.right.left = Node(6) tree.right.left = Node(7) tree.right.left.left = Node(8) tree.right.left.left.right = Node(9) ...
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def __init__(self, a): self.N = len(a) self.st = [0] * ( 4 * self.N ) # approximate the overall size of segment tree with array N self.build(1, 0, self.N - 1)
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def left(self, idx): return idx * 2
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def right(self, idx): return idx * 2 + 1
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def build(self, idx, l, r): # noqa: E741 if l == r: self.st[idx] = A[l] else: mid = (l + r) // 2 self.build(self.left(idx), l, mid) self.build(self.right(idx), mid + 1, r) self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)])
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def update(self, a, b, val): return self.update_recursive(1, 0, self.N - 1, a - 1, b - 1, val)
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def update_recursive(self, idx, l, r, a, b, val): # noqa: E741 if r < a or l > b: return True if l == r: self.st[idx] = val return True mid = (l + r) // 2 self.update_recursive(self.left(idx), l, mid, a, b, val) self.update_recursive(self.righ...
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def query(self, a, b): return self.query_recursive(1, 0, self.N - 1, a - 1, b - 1)
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def query_recursive(self, idx, l, r, a, b): # noqa: E741 if r < a or l > b: return -math.inf if l >= a and r <= b: return self.st[idx] mid = (l + r) // 2 q1 = self.query_recursive(self.left(idx), l, mid, a, b) q2 = self.query_recursive(self.right(idx), mi...
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def show_data(self): show_list = [] for i in range(1, N + 1): show_list += [self.query(i, i)] print(show_list)
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def swap(a: int, b: int) -> tuple[int, int]: a ^= b b ^= a a ^= b return a, b
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def create_sparse(max_node: int, parent: list[list[int]]) -> list[list[int]]: j = 1 while (1 << j) < max_node: for i in range(1, max_node + 1): parent[j][i] = parent[j - 1][parent[j - 1][i]] j += 1 return parent
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def lowest_common_ancestor( u: int, v: int, level: list[int], parent: list[list[int]] ) -> int: # u must be deeper in the tree than v if level[u] < level[v]: u, v = swap(u, v) # making depth of u same as depth of v for i in range(18, -1, -1): if level[u] - (1 << i) >= level[v]: ...
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def breadth_first_search( level: list[int], parent: list[list[int]], max_node: int, graph: dict[int, list[int]], root: int = 1, ) -> tuple[list[int], list[list[int]]]: level[root] = 0 q: Queue[int] = Queue(maxsize=max_node) q.put(root) while q.qsize() != 0: u = q.get() ...
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def main() -> None: max_node = 13 # initializing with 0 parent = [[0 for _ in range(max_node + 10)] for _ in range(20)] # initializing with -1 which means every node is unvisited level = [-1 for _ in range(max_node + 10)] graph: dict[int, list[int]] = { 1: [2, 3, 4], 2: [5], ...
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def __init__(self, size: int) -> None: self.size = size # approximate the overall size of segment tree with given value self.segment_tree = [0 for i in range(0, 4 * size)] # create array to store lazy update self.lazy = [0 for i in range(0, 4 * size)] self.flag = [0 for i...
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def left(self, idx: int) -> int: return idx * 2
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def right(self, idx: int) -> int: return idx * 2 + 1
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def build( self, idx: int, left_element: int, right_element: int, a: list[int] ) -> None: if left_element == right_element: self.segment_tree[idx] = a[left_element - 1] else: mid = (left_element + right_element) // 2 self.build(self.left(idx), left_element...
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def update( self, idx: int, left_element: int, right_element: int, a: int, b: int, val: int ) -> bool: if self.flag[idx] is True: self.segment_tree[idx] = self.lazy[idx] self.flag[idx] = False if left_element != right_element: self.lazy[self.left(i...
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def query( self, idx: int, left_element: int, right_element: int, a: int, b: int ) -> int | float: if self.flag[idx] is True: self.segment_tree[idx] = self.lazy[idx] self.flag[idx] = False if left_element != right_element: self.lazy[self.left(idx)]...
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def __str__(self) -> str: return str([self.query(1, 1, self.size, i, i) for i in range(1, self.size + 1)])
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def __init__(self, size: int) -> None: self.size = size self.arr = [0] * size self.tree = [0] * size
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def get_next(index: int) -> int: return index | (index + 1)
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def get_prev(index: int) -> int: return (index & (index + 1)) - 1
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def update(self, index: int, value: int) -> None: self.arr[index] = value while index < self.size: current_left_border = self.get_prev(index) + 1 if current_left_border == index: self.tree[index] = value else: self.tree[index] = max(val...
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def query(self, left: int, right: int) -> int: right -= 1 # Because of right is exclusive result = 0 while left <= right: current_left = self.get_prev(right) if left <= current_left: result = max(result, self.tree[right]) right = current_l...
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def __init__(self, label: int, parent: Node | None) -> None: self.label = label self.parent = parent self.left: Node | None = None self.right: Node | None = None
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def __init__(self) -> None: self.root: Node | None = None
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def empty(self) -> None: self.root = None
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def is_empty(self) -> bool: return self.root is None
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def put(self, label: int) -> None: self.root = self._put(self.root, label)
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def _put(self, node: Node | None, label: int, parent: Node | None = None) -> Node: if node is None: node = Node(label, parent) else: if label < node.label: node.left = self._put(node.left, label, node) elif label > node.label: node.righ...
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def search(self, label: int) -> Node: return self._search(self.root, label)
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def _search(self, node: Node | None, label: int) -> Node: if node is None: raise Exception(f"Node with label {label} does not exist") else: if label < node.label: node = self._search(node.left, label) elif label > node.label: node = sel...
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def remove(self, label: int) -> None: node = self.search(label) if node.right and node.left: lowest_node = self._get_lowest_node(node.right) lowest_node.left = node.left lowest_node.right = node.right node.left.parent = lowest_node if node.righ...
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def _reassign_nodes(self, node: Node, new_children: Node | None) -> None: if new_children: new_children.parent = node.parent if node.parent: if node.parent.right == node: node.parent.right = new_children else: node.parent.left = new_ch...
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def _get_lowest_node(self, node: Node) -> Node: if node.left: lowest_node = self._get_lowest_node(node.left) else: lowest_node = node self._reassign_nodes(node, node.right) return lowest_node
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def exists(self, label: int) -> bool: try: self.search(label) return True except Exception: return False
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def get_max_label(self) -> int: if self.root is None: raise Exception("Binary search tree is empty") node = self.root while node.right is not None: node = node.right return node.label
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def get_min_label(self) -> int: if self.root is None: raise Exception("Binary search tree is empty") node = self.root while node.left is not None: node = node.left return node.label
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def inorder_traversal(self) -> Iterator[Node]: return self._inorder_traversal(self.root)
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def _inorder_traversal(self, node: Node | None) -> Iterator[Node]: if node is not None: yield from self._inorder_traversal(node.left) yield node yield from self._inorder_traversal(node.right)
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def preorder_traversal(self) -> Iterator[Node]: return self._preorder_traversal(self.root)
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def _preorder_traversal(self, node: Node | None) -> Iterator[Node]: if node is not None: yield node yield from self._preorder_traversal(node.left) yield from self._preorder_traversal(node.right)
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def _get_binary_search_tree() -> BinarySearchTree: t = BinarySearchTree() t.put(8) t.put(3) t.put(6) t.put(1) t.put(10) t.put(14) t.put(13) t.put(4) t.put(7) t.put(5) return t
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def test_put(self) -> None: t = BinarySearchTree() assert t.is_empty() t.put(8) assert t.root is not None assert t.root.parent is None assert t.root.label == 8 t.put(10) assert t.root.right is not None assert t.root.right.parent == t.root ...
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def test_search(self) -> None: t = self._get_binary_search_tree() node = t.search(6) assert node.label == 6 node = t.search(13) assert node.label == 13 with self.assertRaises(Exception): # noqa: B017 t.search(2)
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def test_remove(self) -> None: t = self._get_binary_search_tree() t.remove(13) assert t.root is not None assert t.root.right is not None assert t.root.right.right is not None assert t.root.right.right.right is None assert t.root.right.right.left is None ...
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def test_remove_2(self) -> None: t = self._get_binary_search_tree() t.remove(3) assert t.root is not None assert t.root.left is not None assert t.root.left.left is not None assert t.root.left.right is not None assert t.root.left.right.left is not None ass...
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def test_empty(self) -> None: t = self._get_binary_search_tree() t.empty() assert t.root is None
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def test_is_empty(self) -> None: t = self._get_binary_search_tree() assert not t.is_empty() t.empty() assert t.is_empty()
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def test_exists(self) -> None: t = self._get_binary_search_tree() assert t.exists(6) assert not t.exists(-1)
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def test_get_max_label(self) -> None: t = self._get_binary_search_tree() assert t.get_max_label() == 14 t.empty() with self.assertRaises(Exception): # noqa: B017 t.get_max_label()
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def test_get_min_label(self) -> None: t = self._get_binary_search_tree() assert t.get_min_label() == 1 t.empty() with self.assertRaises(Exception): # noqa: B017 t.get_min_label()
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def test_inorder_traversal(self) -> None: t = self._get_binary_search_tree() inorder_traversal_nodes = [i.label for i in t.inorder_traversal()] assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 10, 13, 14]
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def test_preorder_traversal(self) -> None: t = self._get_binary_search_tree() preorder_traversal_nodes = [i.label for i in t.preorder_traversal()] assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 10, 14, 13]
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def binary_search_tree_example() -> None: t = BinarySearchTree() t.put(8) t.put(3) t.put(6) t.put(1) t.put(10) t.put(14) t.put(13) t.put(4) t.put(7) t.put(5) print( ) print("Label 6 exists:", t.exists(6)) print("Label 13 exists:", t.exists(13)) print("L...
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def is_valid_tree(node: TreeNode | None) -> bool: if node is None: return True if not isinstance(node, TreeNode): return False try: float(node.data) except (TypeError, ValueError): return False return is_valid_tree(node.left) and...
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def is_binary_search_tree_recursive_check( node: TreeNode | None, left_bound: float, right_bound: float ) -> bool: if node is None: return True return ( left_bound < node.data < right_bound and is_binary_search_tree_recursive_check(node.left, left_bound,...
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def __init__(self, value: int) -> None: self.value = value self.left: Node | None = None self.right: Node | None = None
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def __init__(self, tree: Node) -> None: self.tree = tree
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def depth_first_search(self, node: Node | None) -> int: if node is None: return 0 return node.value + ( self.depth_first_search(node.left) + self.depth_first_search(node.right) )
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def __iter__(self) -> Iterator[int]: yield self.depth_first_search(self.tree)
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def binomial_coefficient(n: int, k: int) -> int: result = 1 # To kept the Calculated Value # Since C(n, k) = C(n, n-k) if k > (n - k): k = n - k # Calculate C(n,k) for i in range(k): result *= n - i result //= i + 1 return result
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def catalan_number(node_count: int) -> int: return binomial_coefficient(2 * node_count, node_count) // (node_count + 1)
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def factorial(n: int) -> int: if n < 0: raise ValueError("factorial() not defined for negative values") result = 1 for i in range(1, n + 1): result *= i return result
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def binary_tree_count(node_count: int) -> int: return catalan_number(node_count) * factorial(node_count)
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def __init__(self, ints: Iterable[int]) -> None: self.head: Node | None = None for i in sorted(ints, reverse=True): self.head = Node(i, self.head)
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def __iter__(self) -> Iterator[int]: node = self.head while node: yield node.data node = node.next_node
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def __len__(self) -> int: return len(tuple(iter(self)))
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def __str__(self) -> str: return " -> ".join([str(node) for node in self])
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def merge_lists( sll_one: SortedLinkedList, sll_two: SortedLinkedList ) -> SortedLinkedList: return SortedLinkedList(list(sll_one) + list(sll_two))
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def is_palindrome(head): if not head: return True # split the list to two parts fast, slow = head.next, head while fast and fast.next: fast = fast.next.next slow = slow.next second = slow.next slow.next = None # Don't forget here! But forget still works! # reverse th...
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def is_palindrome_stack(head): if not head or not head.next: return True # 1. Get the midpoint (slow) slow = fast = cur = head while fast and fast.next: fast, slow = fast.next.next, slow.next # 2. Push the second half into the stack stack = [slow.val] while slow.next: ...
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def __init__(self, item: Any, next: Any) -> None: # noqa: A002 self.item = item self.next = next
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def __init__(self) -> None: self.head: Node | None = None self.size = 0
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def add(self, item: Any) -> None: self.head = Node(item, self.head) self.size += 1
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def remove(self) -> Any: # Switched 'self.is_empty()' to 'self.head is None' # because mypy was considering the possibility that 'self.head' # can be None in below else part and giving error if self.head is None: return None else: item = self.head.item ...
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