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* updating DIRECTORY.md * spell changes * updating DIRECTORY.md * real world applications * updating DIRECTORY.md * Update matrix_chain_multiplication.py Add a non-dp solution with benchmarks. * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update matrix_chain_multiplication.py * Update matrix_chain_multiplication.py * Update matrix_chain_multiplication.py --------- Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Co-authored-by: Pooja Sharma <poojasharma@MyBigMac.local> Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>