add dp up - down minimum cost for tickets (#7934)

* add dp up - down minimum cost for tickets

* add typints

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* add new tests and checks.

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* add more tests

* add types for the dp function

* Update dynamic_programming/minimum_tickets_cost.py

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

* fix review notes

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* small fix

* Update dynamic_programming/minimum_tickets_cost.py

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

* Update dynamic_programming/minimum_tickets_cost.py

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

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

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* fix tests

* Update dynamic_programming/minimum_tickets_cost.py

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

* Update dynamic_programming/minimum_tickets_cost.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>