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feat: Add Matrix Chain Multiplication in C++#386

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Pradeepsingh61 merged 1 commit into
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parrth20:feat/add-matrix-chain-multiplication
Oct 4, 2025
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feat: Add Matrix Chain Multiplication in C++#386
Pradeepsingh61 merged 1 commit into
Pradeepsingh61:mainfrom
parrth20:feat/add-matrix-chain-multiplication

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@parrth20 parrth20 commented Oct 3, 2025

Closes: #384

This pull request introduces a C++ implementation of the Matrix Chain Multiplication (MCM) problem. This is a classic algorithm that serves as a perfect introduction to the Partition DP pattern, a concept that was previously missing from the dynamic programming section.

This pattern is essential for solving optimization problems where a key task is to find the best possible split or partition point. The solution uses a bottom-up (tabulation) approach to achieve a time complexity of $O(n^3)$.

📝 Summary of Changes

  • Added matrix_chain_multiplication.cpp: A new file in CPP/algorithms/dynamic_programming/ containing the complete solution.
  • Implemented Partition DP: The core logic involves a 2D DP table where dp[i][j] stores the minimum cost to multiply matrices from i to j. The solution iterates through all possible partition points to find the optimal cost.
  • Included Demonstration: A main function is provided with a standard test case to verify the algorithm's correctness and demonstrate its usage.

✨ Key Features

  • Introduces a New DP Pattern: This PR adds the fundamental Partition DP technique to the repository's collection.
  • Classic Interview Problem: MCM is a well-known problem asked in interviews to test a candidate's understanding of dynamic programming fundamentals.
  • Optimal and Well-Commented: The code is clean, efficient for the problem's constraints, and includes detailed comments explaining the DP state and transitions.

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github-actions Bot commented Oct 3, 2025

🎉 Welcome to Hacktoberfest 2025, @parrth20! 🎃

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  • Code Validation: Passed
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🎯 Great job! Your code compiled successfully. Maintainers @Karanjot786 and @Pradeepsingh61 will review your PR soon.

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github-actions Bot commented Oct 3, 2025

🤖 Automated PR Status

🔍 Code Validation

Passed - File naming and structure look good!

🧪 Compilation Tests

Passed - All code compiles successfully!

📋 Overall Status

🎉 Ready for Review - Your PR has passed all automated checks!
👥 Maintainers have been notified for review.


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@github-actions github-actions Bot requested a review from Karanjot786 October 3, 2025 17:39
@Pradeepsingh61 Pradeepsingh61 merged commit 26b24aa into Pradeepsingh61:main Oct 4, 2025
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[REQUEST] Add [Matrix Chain Multiplication] in [C++]

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