* Fix And Add power.py
To fix the inaccuracies and allow handling of negative exponents and bases, the key issue lies in how negative numbers are handled in the power calculation, especially when dividing.
## Example Output:
```python
>>> power(4, 6)
4096
>>> power(2, 3)
8
>>> power(-2, 3)
-8
>>> power(2, -3)
0.125
>>> power(-2, -3)
-0.125
```
* [pre-commit.ci] auto fixes from pre-commit.com hooks
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* Update power.py
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* Update power.py
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* Update power.py
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* Update power.py
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Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>
* Enable ruff PLR5501 rule
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* Algorithm Optimized
* Update divide_and_conquer/inversions.py
Co-authored-by: John Law <johnlaw.po@gmail.com>
* Update divide_and_conquer/inversions.py
Co-authored-by: John Law <johnlaw.po@gmail.com>
* Update divide_and_conquer/inversions.py
Co-authored-by: John Law <johnlaw.po@gmail.com>
Co-authored-by: John Law <johnlaw.po@gmail.com>
* kth order statistics divide and conquer algorithm
* add explanation of algorithm.
* fix PEP8 line too long error
* update order to be compliant to isort
* add doctest
* make file black compliant
* Implement the melkman anlgorithm for computing convex hulls
* Link melkman algorithm description
* Format melkman algorithm code
* Add type hints to functions
* Fix build errors
* Update mergesort.py
1) Updating the merge sort in python as the previous implementation was modifying the input array
2) divided the division part and conquer part of the merge sort algorithm as 2 functions namely mergeSort and merge.
3) function mergeSort divides the function into halves i.e the purpose of the function will be to divide the array
4) function merge will merge 2 halves into a sorted array
5)Added random test cases using shuffle as suggested by @dhruvmanila
6 The time and space complexity of the previous and my version remains the same. i.e (n log(n) time and n log(n) space
7) changed variables as per the python case as required and suggested by @dhruvmanila
8) Updated function names as suggested by @dhurvmanila
* Update mergesort.py
Added in few more test cases
added type hints for the functions and parameters as suggested by @dhruvmanila
formatted the code using Auto Pep8
* Update mergesort.py
update and added new testcases
* Update mergesort.py
Added in doc test in merge function
* Update mergesort.py
fixing pre-commit fails
* Update mergesort.py
Co-authored-by: Dhruv <dhruvmanila@gmail.com>
* Tighten up psf/black and flake8
* Fix some tests
* Fix some E741
* Fix some E741
* updating DIRECTORY.md
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* spelling corrections
* review
* improved documentation, removed redundant variables, added testing
* added type hint
* camel case to snake case
* spelling fix
* review
* python --> Python # it is a brand name, not a snake
* explicit cast to int
* spaces in int list
* "!= None" to "is not None"
* Update comb_sort.py
* various spelling corrections in documentation & several variables naming conventions fix
* + char in file name
* import dependency - bug fix
Co-authored-by: John Law <johnlaw.po@gmail.com>
* Added Strassen divide and conquer algorithm to multiply matrices
* Divide and conquer algorith to calculate pow(a,b) or a raised to the power of b
* Putting docstring inside the function.
* Added doctests
* Adding doctests into <gaussian_distribution> function
* Adding doctests into <y_generator> function
* Adding doctests into <calculate_mean> function
* Adding doctests into <calculate_probabilities> function
* Adding doctests into <calculate_variance> function
* Adding doctests into <predict_y_values> function
* Adding doctests into <accuracy> function
* fixup! Format Python code with psf/black push
* Update convex_hull.py
* Update convex_hull.py
* Simplify sudoku.is_completed() using builtin all()
Simplify __sudoku.is_completed()__ using Python builtin function [__all()__](https://docs.python.org/3/library/functions.html#all).
* fixup! Format Python code with psf/black push
* Update sudoku.py
* fixup! Format Python code with psf/black push
* Old style exception -> new style for Python 3
* updating DIRECTORY.md
* Update convex_hull.py
* fixup! Format Python code with psf/black push
* e.args[0] = "msg"
* ValueError: could not convert string to float: 'pi'
* Update convex_hull.py
* fixup! Format Python code with psf/black push
* fix: Syntax Error lgtm display in matrix/matrix_operation.py.
* Testing for None should use the 'is' operator.
* fix: Too many arguments for string format.
* fix: supress lgtm alert as false positive.
* style: Unnecessary 'pass' statement.
* Revert "fix: Syntax Error lgtm display in matrix/matrix_operation.py."
This reverts commit 4c629b4ce1.
* divide and conquer and brute force algorithms for array-inversions counting
* divide and conquer and brute force algorithms for array-inversions counting
* divide and conquer and brute force algorithms for array-inversions counting
* a naive and divide-and-conquer algorithms for the convex-hull problem
* two convex-hull algorithms, a divide-and-conquer and a naive algorithm
* two convex-hull algorithms, a divide-and-conquer and a naive algorithm
* two convex-hull algorithms, a divide-and-conquer and a naive algorithm
