Dynamic programming/matrix chain multiplication (#10562)

* updating DIRECTORY.md

* spell changes

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* real world applications

* updating DIRECTORY.md

* Update matrix_chain_multiplication.py

Add a non-dp solution with benchmarks.

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* Update matrix_chain_multiplication.py

* Update matrix_chain_multiplication.py

* Update matrix_chain_multiplication.py

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Co-authored-by: Pooja Sharma <poojasharma@MyBigMac.local>
Co-authored-by: Christian Clauss <cclauss@me.com>
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