Created
July 9, 2019 13:19
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Binary Search Tree operations with Python
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| class Node: | |
| def __init__(self, key=None, left=None, right=None, parent=None, value=1): | |
| self.key = key | |
| self.left = left | |
| self.right = right | |
| self.parent = parent | |
| self.value = value | |
| def insert(key, value, node, parent=None): | |
| if not node: | |
| print(value) | |
| return Node(key=key, value=value, parent=parent) | |
| if key == node.key: | |
| return Node(key=key, left=node.left, right=node.right, parent=node.parent, value=value) | |
| if key < node.key: | |
| return Node(key=node.key, left=insert(key,2*node.value, node.left, node), right=node.right, value=node.value) | |
| return Node(key=node.key, left=node.left, right=insert(key, 2*node.value+1, node.right, node), value=node.value) | |
| def find_sucessor(node): | |
| if not node: | |
| return | |
| if node.left: | |
| return find_sucessor(node.left) | |
| return node | |
| def delete(key, node): | |
| if not node or not key: | |
| return | |
| if key < node.key: | |
| return Node(key=node.key, left=delete(key, node.left), right=node.right, parent=node.parent, value=node.value) | |
| if key > node.key: | |
| return Node(key=node.key, left=node.left, right=delete(key, node.right), parent=node.parent, value=node.value) | |
| if key == node.key: | |
| print(node.value) | |
| if node.left and node.right: | |
| sucessor = find_sucessor(node.right) | |
| return Node(key=sucessor.key, left=node.left, right=delete(sucessor.key, node.right), parent=node.parent, value=node.value) | |
| if node.left: | |
| return Node(key=node.left.key, left=node.left.left, right=node.left.right, parent=node.parent, value=node.value) | |
| if node.right: | |
| return Node(key=node.right.key, left=node.right.left, right=node.right.right, parent=node.parent, value=node.value) | |
| return None | |
| def update_values(tree, parent=None): | |
| if not tree: | |
| return tree | |
| if parent: | |
| if parent.left and tree.key == parent.left.key: | |
| tree.value = parent.value*2 | |
| return Node(key=tree.key, left=update_values(tree.left, tree), right=update_values(tree.right, tree), parent=parent, value=tree.value) | |
| if parent.right and tree.key == parent.right.key: | |
| tree.value = 2*parent.value+1 | |
| return Node(key=tree.key, left=update_values(tree.left, tree), right=update_values(tree.right, tree), parent=parent, value=tree.value) | |
| return Node(key=tree.key, left=update_values(tree.left, tree), right=update_values(tree.right, tree), parent=parent, value=1) | |
| def read_tree(tree): | |
| if not tree: | |
| return | |
| print(tree.key, tree.value) | |
| if tree.left: | |
| read_tree(tree.left) | |
| if tree.right: | |
| read_tree(tree.right) | |
| n_op = int(input()) | |
| tree = None | |
| for n in range(n_op): | |
| op_i = input() | |
| op = op_i.split()[0] | |
| key = int(op_i.split()[1]) | |
| if op == 'i': | |
| tree = insert(key, 1, tree) | |
| if op == 'd': | |
| tree = delete(key, tree) | |
| tree = update_values(tree) | |
| read_tree(tree) |
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