* Update ternary_search.py

* Update mypy.ini

* Update simulated_annealing.py

* Update ternary_search.py

* formatting

* formatting

* Update matrix_operation.py

* Update matrix_operation.py

* Update matrix_operation.py

* Added Jacobi Iteration Method

Added this method in arithmetic_analysis folder. This method is used to solve system of linear equations.

* Added comments

* Added reference link

* Update jacobi_iteration_method.py

* Changes for codespell test

* Update jacobi_iteration_method.py

* Update jacobi_iteration_method.py

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* updating DIRECTORY.md

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update arithmetic_analysis/jacobi_iteration_method.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Update jacobi_iteration_method.py

* Update jacobi_iteration_method.py

* Update jacobi_iteration_method.py

* fix styles
Co-authored-by: NChristian Clauss <cclauss@me.com>
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* updating DIRECTORY.md

* Add solution

* updating DIRECTORY.md

* Fix

* Fix
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>

* Type annotations for `breadth_first_search.py`

* Type annotations for `breadth_first_search_2.py`

* Remove from excluded in mypy.ini

* Add doctest.testmod()

* Type annotations for `graphs/check_cycle.py`

* Type annotations for `graphs/greedy_min_vertex_cover.py`

* Remove from excluded in mypy.ini

* rewrote anagrams.py, added doctests

* corrected mistakes

* add anagrams.txt

* Update anagrams.py

* Update strings/anagrams.py
Co-authored-by: NChristian Clauss <cclauss@me.com>
Co-authored-by: NChristian Clauss <cclauss@me.com>

[mypy] Type annotations for `graphs/finding_bridges.py` and `graphs/random_graph_generator.py` (#5795)

* [mypy] Annotate `graphs/finding_bridges.py`

* Remove from excluded in `mypy.ini`

* Add doctest.testmod()

* psf/black formatting

* Annotations for `graphs/random_graph_generator.py`

* Remove from excluded in `mypy.ini`

* Resolve merge conflict

* Resolve merge conflict

* Update mypy.ini

* Update mypy.ini

* Remove from excluded

* Fix type annotations in boruvka.py

* Remove graphs/boruvka.py|

* updating DIRECTORY.md
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>

* ADD the algorithms of image augmentation

* ADD the algorithms of image augmentation

* ADD the algorithms of image augmentation

* ADD the algorithms of image augmentation

* ADD the algorithms of image augmentation

* ADD the algorithms of image augmentation

* UPDATE format code

* UPDATE format and recode structure

* UPDATE format import library

* UPDATE code structure

* Fix all checks have failded

* FIX variable format

* FIX variable format

* FIX variable format

* FIX code structure

* FIX code structure

* FIX code structure

* FIX code structure

* [mypy] Fix annotations in `maths/series/p_series.py`

* Update p_series.py

* Update p_series.py

* Remove from excluded in mypy.ini

* Type annotation for series

* Annotate maths/proth_number.py (properly)

* Remove from excluded in mypy.ini

* Annotate average_mode.py

* Update average_mode.py

* Update average_mode.py

* Update average_mode.py

* Update average_mode.py

* Remove from excluded in mypy.ini

* Fix annotations in gamma_recursive.py

* Remove from excluded in mypy.ini

* Annotations for geometric_series.py

* Update geometric_series.py

* Update mypy.ini

* Update average_mode.py

* Update average_mode.py

* Update average_mode.py

* Update mypy.ini

* Update mypy.ini

* Update mypy.ini

* Update average_mode.py

* Update proth_number.py

* Update average_mode.py

* Update gamma_recursive.py

* Update proth_number.py

* Update mypy.ini

* Update geometric_series.py

* Update average_mode.py

* Update proth_number.py

* Update geometric_series.py

* Update geometric_series.py

* Update geometric_series.py

* Update p_series.py

* Update geometric_series.py

* Update p_series.py

* Update p_series.py

* Update geometric_series.py

* Update p_series.py

* Update p_series.py

* Remove data_structures/stacks/next_greater_element.py|
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Add equated_monthly_installments.py in Financials

* Formatting

* More formatting, Descriptive names

* Errors with name change

* Formatting

* Formatting, Naming Error

* dedent

* Update DIRECTORY.md

* [mypy] Fix `other/fischer_yates_shuffle.py`

* Update mypy.ini

* DRAFT: Run a mypy reality check

Let's see what is required to finish  #4052

* mypy --ignore-missing-imports --install-types --non-interactive

* Check our progress...

* Update build.yml

* Update build.yml

* Update build.yml

* Update build.yml

* mypy --exclude 20 files

* --exclude with no `=`

* Update build.yml

* 558 character regex!!!

* With quotes

* mypy.ini: mega exclude

* Update mypy.ini

* Update build.yml

* Update mypy.ini

* Update build.yml

* Update mypy.ini

* .py --> .p*

* Escape the dots!: `.` --> `\.`

* Remove the comment

* Leading slash

* Update mypy.ini
Co-authored-by: NDylan Buchi <devybuchi@gmail.com>
Co-authored-by: NDylan Buchi <devybuchi@gmail.com>

* Fix type annotations in next_greater_element.py

* Refactor next_greater_element.py

* updating DIRECTORY.md

* Fix typo

* Improve solution
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>

* Improve Project Euler Problem 10 Sol-1

* Name correction

* psf/black formatting

* More formatting

* Fix finding_bridges algorithms + tests

* update type hints

* Better, more obvious condition fix

* fix prev commit + more tests

* Short explanation + url

* Update finding_bridges.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Improve solution

* Uncomment code that has been commented due to slow execution affecting Travis

* Fix

* scikit-fuzzy is causing broken builds

* fuzz = None

* Update fuzzy_operations.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* [mypy] Fix type annotations in red_black_tree.py

* Remove blank lines

* Update red_black_tree.py

* Improve solution

* Uncomment code that has been commented due to slow execution affecting Travis

* Fix

* Rewritten reddit.py

* Removed logging module import

* Fixed minor bug which was causing extreme rate limiting

* Update reddit.py

* Update reddit.py

* Update reddit.py
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Add all_construct dynamic programming implementation

* all_construct: remove the main function

* all_construct: Add type hints

* all_construct: changed map to list comprehension,fix mutable default arguments

* all_construct: fixed type hints

* all_construct: cleaner code for initializing word_bank argument

* all_construct: added an import for annotations

* all_construct: added None in the argument with word_bank

* all_construct: fixed a type hint

* all_construct: Fixed some more type hints

* Added 5 README files

* corrected arithmetic_analysis README

* Update audio_filters/README.md
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Update backtracking/README.md
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Update bit_manipulation/README.md
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Fix type annotations in lowest_common_ancestor.py

* Refactor line 53 in lowest_common_ancestor.py

+ As per usage examples, clause literals are a list of strings.
  + Note: symbols extracted from literals are expected to be exactly two characters.
+ self.literal boolean values are initialized to None, so must be optional
+ model values should be Booleans, but aren't guaranteed to be non-None
  in the code.
+ uses newer '... | None' annotation for Optional values
+ clauses are passed to the Formula initializer as both lists and sets, they
  are stored as lists.  Returned clauses will always be lists.
+ use explicit tuple annotation from __future__  rather than using (..., ...)
  in return signatures
+ mapping returned by dpll_algorithm is optional per the documentation.

* Improve solution

* updating DIRECTORY.md
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>

* Python file for finding number of pairs

* updating DIRECTORY.md

* fixed iterative_pair.py

* further fixed with type casting

* fixed naming conventions

* further fixed with naming convention

* documented done

* build issue fixed

* updating DIRECTORY.md

* Revert "documented done"

This reverts commit 3be15ca374f3ea3f01f725912dba59b939b058b5.

* Update canny.py

* Update test_digital_image_processing.py

* Update sobel_filter.py

* requirements.txt fixed

* keras<2.7.0

* Update sock_merchant.py

* doctest with black fixed

* Update sock_merchant.py
Co-authored-by: Ngithub-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: NChristian Clauss <cclauss@me.com>

Yesterday hexagonal_numbers.py was created. Added that file in this list(maths/series/hexagonal_numbers.py)

* Added a gray_code_sequence.py file to the bit_manipulation folder

* Added a descriptive name for variable n changing it to bit count

* Update gray_code_sequence.py
Co-authored-by: Nkrishchopra02 <krishchopra02@gmail.com>
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Update base16.py

* Rename base64_encoding.py to base64.py

* Split into functions, Add doctests

* Update base16.py

* [mypy] fix type annotations in circular_queue_linked_list

* Remove 10 blank lines
Co-authored-by: NChristian Clauss <cclauss@me.com>

* Added nevilles algorithm for polynomial interpolation

* Added type hinting for neville_interpolate function arguments.

* Added more descriptive names

* Update nevilles_method.py

* Fixed some linting issues

* Fixed type hinting error

* Fixed nevilles_method.py

* Add ellipsis for doctest spanning multiple lines

* Update nevilles_method.py
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* add gabor_filter.py

* Update gabor_filter.py

* update gabor_filter.py

* add doctest

* change import order

* Update digital_image_processing/filters/gabor_filter.py
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Update gabor_filter.py

* fix gabor filter calculation
Co-authored-by: NJohn Law <johnlaw.po@gmail.com>

* Add stone unit of measuring weight

And some tests in the docs using an external calculator. Not yet tested if they pass.

* Fix rounding descrepencies in doctests to pass tests