mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-25 05:51:08 +00:00
111 lines
2.6 KiB
Python
111 lines
2.6 KiB
Python
from __future__ import annotations
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from collections.abc import Iterator
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from dataclasses import dataclass
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@dataclass
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class Node:
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data: int
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left: Node | None = None
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right: Node | None = None
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def __iter__(self) -> Iterator[int]:
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if self.left:
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yield from self.left
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yield self.data
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if self.right:
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yield from self.right
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def __len__(self) -> int:
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return sum(1 for _ in self)
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def is_full(self) -> bool:
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if not self or (not self.left and not self.right):
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return True
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if self.left and self.right:
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return self.left.is_full() and self.right.is_full()
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return False
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@dataclass
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class BinaryTree:
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root: Node
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def __iter__(self) -> Iterator[int]:
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return iter(self.root)
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def __len__(self) -> int:
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return len(self.root)
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@classmethod
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def small_tree(cls) -> BinaryTree:
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"""
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Return a small binary tree with 3 nodes.
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>>> binary_tree = BinaryTree.small_tree()
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>>> len(binary_tree)
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3
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>>> list(binary_tree)
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[1, 2, 3]
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"""
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binary_tree = BinaryTree(Node(2))
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binary_tree.root.left = Node(1)
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binary_tree.root.right = Node(3)
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return binary_tree
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@classmethod
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def medium_tree(cls) -> BinaryTree:
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"""
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Return a medium binary tree with 3 nodes.
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>>> binary_tree = BinaryTree.medium_tree()
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>>> len(binary_tree)
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7
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>>> list(binary_tree)
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[1, 2, 3, 4, 5, 6, 7]
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"""
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binary_tree = BinaryTree(Node(4))
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binary_tree.root.left = two = Node(2)
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two.left = Node(1)
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two.right = Node(3)
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binary_tree.root.right = five = Node(5)
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five.right = six = Node(6)
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six.right = Node(7)
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return binary_tree
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def depth(self) -> int:
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"""
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Returns the depth of the tree
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>>> BinaryTree(Node(1)).depth()
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1
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>>> BinaryTree.small_tree().depth()
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2
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>>> BinaryTree.medium_tree().depth()
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4
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"""
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return self._depth(self.root)
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def _depth(self, node: Node | None) -> int:
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if not node:
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return 0
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return 1 + max(self._depth(node.left), self._depth(node.right))
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def is_full(self) -> bool:
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"""
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Returns True if the tree is full
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>>> BinaryTree(Node(1)).is_full()
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True
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>>> BinaryTree.small_tree().is_full()
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True
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>>> BinaryTree.medium_tree().is_full()
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False
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"""
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return self.root.is_full()
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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