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Algorithm to get maximum path sum of a binary tree. - #9414

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cclauss merged 17 commits into
TheAlgorithms:masterfrom
jahir-raihan:master
Sep 8, 2026
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Algorithm to get maximum path sum of a binary tree.#9414
cclauss merged 17 commits into
TheAlgorithms:masterfrom
jahir-raihan:master

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@jahir-raihan

@jahir-raihan jahir-raihan commented Oct 2, 2023

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Describe your change:

Added a new algorithm to get maximum path sum of a binary tree.

It solves one of the Hard questions from Leetcode.

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

@algorithms-keeper algorithms-keeper Bot added require tests Tests [doctest/unittest/pytest] are required require type hints https://docs.python.org/3/library/typing.html labels Oct 2, 2023

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left, right -> Stores the pointer to left or right node.
"""

def __init__(self, val: int, left=None, right=None) -> None:

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Please provide type hint for the parameter: left

Please provide type hint for the parameter: right

29
"""

def __init__(self, root):

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Please provide return type hint for the function: __init__. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: root

return self.sum


def construct_tree() -> TreeNode:

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As there is no test file in this pull request nor any test function or class in the file data_structures/binary_tree/binary_tree_maximum_path_sum.py, please provide doctest for the function construct_tree

@algorithms-keeper algorithms-keeper Bot added the awaiting reviews This PR is ready to be reviewed label Oct 2, 2023

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left, right -> Stores the pointer to left or right node.
"""

def __init__(self, val: int, left=None, right=None) -> None:

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Please provide type hint for the parameter: left

Please provide type hint for the parameter: right

29
"""

def __init__(self, root):

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Please provide return type hint for the function: __init__. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: root

return self.sum


def construct_tree() -> TreeNode:

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As there is no test file in this pull request nor any test function or class in the file data_structures/binary_tree/binary_tree_maximum_path_sum.py, please provide doctest for the function construct_tree

@algorithms-keeper algorithms-keeper Bot removed the require tests Tests [doctest/unittest/pytest] are required label Oct 2, 2023

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29
"""

def __init__(self, root) -> None:

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Please provide type hint for the parameter: root

@jahir-raihan

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@cclauss Hello, sorry to interrupt ! , but can you please take a look into it.

self.right: TreeNode | None = None


class GetMaxPathSum:

@cclauss cclauss Oct 2, 2023

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This is a custom class only designed the get the sum.

I would prefer to see a generic BinaryTree class that:

  1. has a self.root_node
  2. implements .__iter__() instead of .traverse().
  3. delivers the solution with the simple line sum(binary_tree)

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Perhaps 3. is not possible for this problem.

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@cclauss I'm bit confused about iter(), as traverse recursively takes maximum from left and right subtree, how can I implement that. Please give me hint on it.

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Yes. Now I see the difficulties. Please make the BinaryTree and make a .traverse() method that yields the values.

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@cclauss As the algorithm traverses all the nodes recursively, if we try to yield values of nodes, we'll end up yielding all the nodes. Because yield will go over all nodes where's our algorithm only requires those nodes that makes up the maximum value. Please correct me if i'm wrong.

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You are probably right.

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@cclauss Hello, My PR getting out of the list now. Can you hear me back please how can I improve more.

Comment thread data_structures/binary_tree/binary_tree_maximum_path_sum.py

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Comment thread data_structures/binary_tree/binary_tree_maximum_path_sum.py Outdated
@algorithms-keeper algorithms-keeper Bot added the tests are failing Do not merge until tests pass label Oct 2, 2023
@algorithms-keeper algorithms-keeper Bot removed require type hints https://docs.python.org/3/library/typing.html tests are failing Do not merge until tests pass labels Oct 2, 2023
Comment thread data_structures/binary_tree/binary_tree_maximum_path_sum.py
@@ -0,0 +1,118 @@
from __future__ import annotations

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This line is not required on a Python 3.14t codebase.

Comment thread data_structures/binary_tree/binary_tree_maximum_path_sum.py Outdated
@algorithms-keeper algorithms-keeper Bot removed the awaiting reviews This PR is ready to be reviewed label Sep 8, 2026
@cclauss
cclauss merged commit aa1c853 into TheAlgorithms:master Sep 8, 2026
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