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* Added code to find diameter of given binary tree * Modified diameter_of_binary_tree file * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update diameter_of_binary_tree.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update diameter_of_binary_tree.py --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Christian Clauss <cclauss@me.com>
73 lines
1.6 KiB
Python
73 lines
1.6 KiB
Python
"""
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The diameter/width of a tree is defined as the number of nodes on the longest path
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between two end nodes.
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"""
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from __future__ import annotations
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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 depth(self) -> int:
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"""
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>>> root = Node(1)
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>>> root.depth()
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1
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>>> root.left = Node(2)
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>>> root.depth()
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2
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>>> root.left.depth()
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1
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>>> root.right = Node(3)
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>>> root.depth()
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2
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"""
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left_depth = self.left.depth() if self.left else 0
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right_depth = self.right.depth() if self.right else 0
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return max(left_depth, right_depth) + 1
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def diameter(self) -> int:
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"""
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>>> root = Node(1)
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>>> root.diameter()
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1
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>>> root.left = Node(2)
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>>> root.diameter()
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2
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>>> root.left.diameter()
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1
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>>> root.right = Node(3)
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>>> root.diameter()
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3
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"""
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left_depth = self.left.depth() if self.left else 0
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right_depth = self.right.depth() if self.right else 0
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return left_depth + right_depth + 1
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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root = Node(1)
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root.left = Node(2)
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root.right = Node(3)
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root.left.left = Node(4)
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root.left.right = Node(5)
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r"""
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Constructed binary tree is
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1
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/ \
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2 3
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/ \
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4 5
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"""
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print(f"{root.diameter() = }") # 4
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print(f"{root.left.diameter() = }") # 3
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print(f"{root.right.diameter() = }") # 1
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