added a problem on kadane's algo and its solution. (#8569)

* added kadane's algorithm directory with one problem's solution.

* added type hints

* Rename kaadne_algorithm/max_product_subarray.py to dynamic_programming/max_product_subarray.py

* Update dynamic_programming/max_product_subarray.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* Update max_product_subarray.py

* Update max_product_subarray.py

* Update dynamic_programming/max_product_subarray.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* Update max_product_subarray.py

* Update max_product_subarray.py

* Update max_product_subarray.py

* Update max_product_subarray.py

* Update max_product_subarray.py

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

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

* Update max_product_subarray.py

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

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

* Update max_product_subarray.py

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

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

* Update max_product_subarray.py

* Update max_product_subarray.py

* Update dynamic_programming/max_product_subarray.py

Co-authored-by: Christian Clauss <cclauss@me.com>

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

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

* Update dynamic_programming/max_product_subarray.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* Update max_product_subarray.py

---------

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