updates:
- [github.com/tox-dev/pyproject-fmt: 2.2.4 → 2.3.0](tox-dev/pyproject-fmt@2.2.4...2.3.0)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.6.9 → v0.7.0](astral-sh/ruff-pre-commit@v0.6.9...v0.7.0)
- [github.com/tox-dev/pyproject-fmt: 2.3.0 → 2.4.3](tox-dev/pyproject-fmt@2.3.0...2.4.3)
- [github.com/abravalheri/validate-pyproject: v0.20.2 → v0.21](abravalheri/validate-pyproject@v0.20.2...v0.21)
- [github.com/pre-commit/mirrors-mypy: v1.11.2 → v1.12.1](pre-commit/mirrors-mypy@v1.11.2...v1.12.1)

* project_euler/problem_047/sol1.py: def solution(n: int = 4) -> int | None:

* Update sol1.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>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.7.0 → v0.7.1](astral-sh/ruff-pre-commit@v0.7.0...v0.7.1)
- [github.com/tox-dev/pyproject-fmt: 2.4.3 → v2.4.3](tox-dev/pyproject-fmt@2.4.3...v2.4.3)
- [github.com/abravalheri/validate-pyproject: v0.21 → v0.22](abravalheri/validate-pyproject@v0.21...v0.22)
- [github.com/pre-commit/mirrors-mypy: v1.12.1 → v1.13.0](pre-commit/mirrors-mypy@v1.12.1...v1.13.0)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.7.1 → v0.7.2](astral-sh/ruff-pre-commit@v0.7.1...v0.7.2)
- [github.com/tox-dev/pyproject-fmt: v2.4.3 → v2.5.0](tox-dev/pyproject-fmt@v2.4.3...v2.5.0)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.7.2 → v0.7.3](astral-sh/ruff-pre-commit@v0.7.2...v0.7.3)
- [github.com/abravalheri/validate-pyproject: v0.22 → v0.23](abravalheri/validate-pyproject@v0.22...v0.23)

* Update sudoku_solver.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>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.7.3 → v0.7.4](astral-sh/ruff-pre-commit@v0.7.3...v0.7.4)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.4.10 → v0.5.0](astral-sh/ruff-pre-commit@v0.4.10...v0.5.0)
- [github.com/pre-commit/mirrors-mypy: v1.10.0 → v1.10.1](pre-commit/mirrors-mypy@v1.10.0...v1.10.1)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* Added matrix based color game

* updating DIRECTORY.md

---------

Co-authored-by: Miranda13 <Miranda13@users.noreply.github.com>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.8.0 → v0.8.1](astral-sh/ruff-pre-commit@v0.8.0...v0.8.1)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* Use Astral uv

* uvx vs uv run

* uv sync --group=euler-validate,test

* uv sync --group=euler-validate --group=test

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* --group=test

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.8.1 → v0.8.2](astral-sh/ruff-pre-commit@v0.8.1...v0.8.2)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.8.2 → v0.8.3](astral-sh/ruff-pre-commit@v0.8.2...v0.8.3)

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* updating DIRECTORY.md

* Fix sphinx/build_docs warnings for audio_filters

* Improve

* Fix

* Fix

* Fix

---------

Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>

* updating DIRECTORY.md

* Fix sphinx/build_docs warnings for cellular_automata

* Fix

* Improve

---------

Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>

* updating DIRECTORY.md

* Fix sphinx/build_docs warnings for geodesy/haversine_distance.py

* Improve

---------

Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>

* updating DIRECTORY.md

* Fix sphinx/build_docs warnings for greedy_methods

* Improve

---------

Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>

* Fix sphinx/build_docs warnings for maths/volume

* Fix

* Fix

* Fix

* Fix

* Fix

* Fix

* Fix

…on (#12467)

* Fix sphinx/build_docs warnings for graphs/check_bipatrite

* Fix

…_binary_tree (#12470)

Bumps [astral-sh/setup-uv](https://github.com/astral-sh/setup-uv) from 4 to 5.
- [Release notes](https://github.com/astral-sh/setup-uv/releases)
- [Commits](astral-sh/setup-uv@v4...v5)

---
updated-dependencies:
- dependency-name: astral-sh/setup-uv
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

* Improve coverage bell_numbers

* improve more function

* Update hamming_numbers.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Add type hints and improve code quality for generate_parentheses_iterative

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Fix line length issue

* Update generate_parentheses_iterative.py

* Update generate_parentheses_iterative.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* style: add type hints to matrix_exponentiation.py

* Refactor kth_permutation and fix linter errors

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Delete machine_learning/linear_discriminant_analysis.py

* Revert "Delete machine_learning/linear_discriminant_analysis.py"

This reverts commit de29647.

* Update linear_discriminant_analysis.py

* Update kth_lexicographic_permutation.py

* Update matrix_exponentiation.py

* Update matrix_exponentiation.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Added type hints for bogo_sort

* Update bogo_sort.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Use TypeError for non-string input in count_vowels

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Fix docstring and improve input validation in kth_lexicographic_permutation

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Handle gcd(0, 0) edge case

* Update kth_lexicographic_permutation.py

* Update count_vowels.py

* Update greatest_common_divisor.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* docs: refine docstring and simplify reverse_letters implementation

Updated the docstring for clarity and improved the logic for reversing words.

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update reverse_letters.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

…ion (#14204)

* Improve documentation for linear search algorithm

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Replace asserts with explicit validation in modular_division

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update linear_search.py

---------

Co-authored-by: Anusha-DeviE <itzanushadevi@gmail.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Fix incorrect doctest references in fibonacci functions

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Use TypeError for non-string input in count_vowels

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Fix docstring and improve input validation in kth_lexicographic_permutation

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update kth_lexicographic_permutation.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

Co-authored-by: JavedKhan93 <javed58725@gmail.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Fix return type description in bubble_sort.py

Better (clearer, standard phrasing):
:return: the same collection ordered in ascending order

* Update bubble_sort.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Improve sorted input validation in binary search

* Update binary_search.py

* Update binary_search.py

* Update binary_search.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Improve grammar in linear_search docstring

Improved wording in the linear search docstring for better clarity. No code logic changed.

* Update linear_search.py

* Update linear_search.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

…13821)

Fixed bug in bubble_sort_recursive docstring where the doctest was calling bubble_sort_iterative([]) instead of bubble_sort_recursive([]). This was a copy-paste error that would cause the doctest to pass even if bubble_sort_recursive had issues with empty lists.

Change:
- Line 71: Changed '>>> bubble_sort_iterative([])' to '>>> bubble_sort_recursive([])'

This ensures the doctest properly validates the recursive implementation.

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Fix doctests in factorial_recursive function

The doctests in factorial_recursive were calling factorial() instead of factorial_recursive(). This fix ensures that the tests correctly validate the factorial_recursive function itself.

* Update factorial.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Add Extra edge cases

* Update coloring.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Add euler project problem 15 additional solution by explicitly counting the paths.

* Update sol2.py

* updating DIRECTORY.md

* updating DIRECTORY.md

* Trigger CI

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>
Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

* add some doctests to algos in backtracking

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

#14373)

* Add latitude and longitude validation with doctests

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update lamberts_ellipsoidal_distance.py

---------

Co-authored-by: Pamela Cano <pamelacano@MacBook-Pro-de-Pamela.local>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

Bumps [actions/deploy-pages](https://github.com/actions/deploy-pages) from 4 to 5.
- [Release notes](https://github.com/actions/deploy-pages/releases)
- [Commits](actions/deploy-pages@v4...v5)

---
updated-dependencies:
- dependency-name: actions/deploy-pages
  dependency-version: '5'
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Bumps [actions/configure-pages](https://github.com/actions/configure-pages) from 5 to 6.
- [Release notes](https://github.com/actions/configure-pages/releases)
- [Commits](actions/configure-pages@v5...v6)

---
updated-dependencies:
- dependency-name: actions/configure-pages
  dependency-version: '6'
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.14.14 → v0.15.4](astral-sh/ruff-pre-commit@v0.14.14...v0.15.4)
- [github.com/tox-dev/pyproject-fmt: v2.12.1 → v2.16.2](tox-dev/pyproject-fmt@v2.12.1...v2.16.2)
- [github.com/abravalheri/validate-pyproject: v0.24.1 → v0.25](abravalheri/validate-pyproject@v0.24.1...v0.25)

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* updating DIRECTORY.md

* Configure mypy to target Python 3.14 and update to v1.20.0

Agent-Logs-Url: https://github.com/TheAlgorithms/Python/sessions/332481be-4c5f-4412-abf8-6ef4a3913828

Co-authored-by: cclauss <3709715+cclauss@users.noreply.github.com>

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>
Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: cclauss <3709715+cclauss@users.noreply.github.com>

Co-authored-by: Max <183308611+max938-coder@users.noreply.github.com>

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.15.4 → v0.15.9](astral-sh/ruff-pre-commit@v0.15.4...v0.15.9)
- [github.com/codespell-project/codespell: v2.4.1 → v2.4.2](codespell-project/codespell@v2.4.1...v2.4.2)
- [github.com/tox-dev/pyproject-fmt: v2.16.2 → v2.21.0](tox-dev/pyproject-fmt@v2.16.2...v2.21.0)

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Added type hints for bogo_sort

* Add type hints to unknown_sort

* Update bogo_sort.py

* Update unknown_sort.py

---------

Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

* Fix empty input edge case and correct output formatting

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* Update pigeonhole_sort.py

* Update pigeonhole_sort.py

* Update pigeonhole_sort.py

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>

Bumps [actions/upload-pages-artifact](https://github.com/actions/upload-pages-artifact) from 4 to 5.
- [Release notes](https://github.com/actions/upload-pages-artifact/releases)
- [Commits](actions/upload-pages-artifact@v4...v5)

---
updated-dependencies:
- dependency-name: actions/upload-pages-artifact
  dependency-version: '5'
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>