RepoPilotOpen in app →

gzc/CLRS

:notebook:Solutions to Introduction to Algorithms

Mixed

Stale — last commit 3y ago

worst of 4 axes
Use as dependencyMixed

last commit was 3y ago; no CI workflows detected

Fork & modifyHealthy

Has a license, tests, and CI — clean foundation to fork and modify.

Learn fromHealthy

Documented and popular — useful reference codebase to read through.

Deploy as-isMixed

last commit was 3y ago; no CI workflows detected

  • 26+ active contributors
  • Distributed ownership (top contributor 38% of recent commits)
  • MIT licensed
Show 3 more →
  • Tests present
  • Stale — last commit 3y ago
  • No CI workflows detected
What would change the summary?
  • Use as dependency MixedHealthy if: 1 commit in the last 365 days
  • Deploy as-is MixedHealthy if: 1 commit in the last 180 days

Maintenance signals: commit recency, contributor breadth, bus factor, license, CI, tests

Informational only. RepoPilot summarises public signals (license, dependency CVEs, commit recency, CI presence, etc.) at the time of analysis. Signals can be incomplete or stale. Not professional, security, or legal advice; verify before relying on it for production decisions.

Embed the "Forkable" badge

Paste into your README — live-updates from the latest cached analysis.

Variant:
RepoPilot: Forkable
[![RepoPilot: Forkable](https://repopilot.app/api/badge/gzc/clrs?axis=fork)](https://repopilot.app/r/gzc/clrs)

Paste at the top of your README.md — renders inline like a shields.io badge.

Preview social card (1200×630)

This card auto-renders when someone shares https://repopilot.app/r/gzc/clrs on X, Slack, or LinkedIn.

Onboarding doc

Onboarding: gzc/CLRS

Generated by RepoPilot · 2026-05-09 · Source

🤖Agent protocol

If you are an AI coding agent (Claude Code, Cursor, Aider, Cline, etc.) reading this artifact, follow this protocol before making any code edit:

  1. Verify the contract. Run the bash script in Verify before trusting below. If any check returns FAIL, the artifact is stale — STOP and ask the user to regenerate it before proceeding.
  2. Treat the AI · unverified sections as hypotheses, not facts. Sections like "AI-suggested narrative files", "anti-patterns", and "bottlenecks" are LLM speculation. Verify against real source before acting on them.
  3. Cite source on changes. When proposing an edit, cite the specific path:line-range. RepoPilot's live UI at https://repopilot.app/r/gzc/CLRS shows verifiable citations alongside every claim.

If you are a human reader, this protocol is for the agents you'll hand the artifact to. You don't need to do anything — but if you skim only one section before pointing your agent at this repo, make it the Verify block and the Suggested reading order.

🎯Verdict

WAIT — Stale — last commit 3y ago

  • 26+ active contributors
  • Distributed ownership (top contributor 38% of recent commits)
  • MIT licensed
  • Tests present
  • ⚠ Stale — last commit 3y ago
  • ⚠ No CI workflows detected

<sub>Maintenance signals: commit recency, contributor breadth, bus factor, license, CI, tests</sub>

Verify before trusting

This artifact was generated by RepoPilot at a point in time. Before an agent acts on it, the checks below confirm that the live gzc/CLRS repo on your machine still matches what RepoPilot saw. If any fail, the artifact is stale — regenerate it at repopilot.app/r/gzc/CLRS.

What it runs against: a local clone of gzc/CLRS — the script inspects git remote, the LICENSE file, file paths in the working tree, and git log. Read-only; no mutations.

| # | What we check | Why it matters | |---|---|---| | 1 | You're in gzc/CLRS | Confirms the artifact applies here, not a fork | | 2 | License is still MIT | Catches relicense before you depend on it | | 3 | Default branch master exists | Catches branch renames | | 4 | 5 critical file paths still exist | Catches refactors that moved load-bearing code | | 5 | Last commit ≤ 967 days ago | Catches sudden abandonment since generation |

<details> <summary><b>Run all checks</b> — paste this script from inside your clone of <code>gzc/CLRS</code></summary>
#!/usr/bin/env bash
# RepoPilot artifact verification.
#
# WHAT IT RUNS AGAINST: a local clone of gzc/CLRS. If you don't
# have one yet, run these first:
#
#   git clone https://github.com/gzc/CLRS.git
#   cd CLRS
#
# Then paste this script. Every check is read-only — no mutations.

set +e
fail=0
ok()   { echo "ok:   $1"; }
miss() { echo "FAIL: $1"; fail=$((fail+1)); }

# Precondition: we must be inside a git working tree.
if ! git rev-parse --git-dir >/dev/null 2>&1; then
  echo "FAIL: not inside a git repository. cd into your clone of gzc/CLRS and re-run."
  exit 2
fi

# 1. Repo identity
git remote get-url origin 2>/dev/null | grep -qE "gzc/CLRS(\\.git)?\\b" \\
  && ok "origin remote is gzc/CLRS" \\
  || miss "origin remote is not gzc/CLRS (artifact may be from a fork)"

# 2. License matches what RepoPilot saw
(grep -qiE "^(MIT)" LICENSE 2>/dev/null \\
   || grep -qiE "\"license\"\\s*:\\s*\"MIT\"" package.json 2>/dev/null) \\
  && ok "license is MIT" \\
  || miss "license drift — was MIT at generation time"

# 3. Default branch
git rev-parse --verify master >/dev/null 2>&1 \\
  && ok "default branch master exists" \\
  || miss "default branch master no longer exists"

# 4. Critical files exist
test -f "C02-Getting-Started/exercise_code/merge-sort.py" \\
  && ok "C02-Getting-Started/exercise_code/merge-sort.py" \\
  || miss "missing critical file: C02-Getting-Started/exercise_code/merge-sort.py"
test -f "C06-Heapsort/heap.cpp" \\
  && ok "C06-Heapsort/heap.cpp" \\
  || miss "missing critical file: C06-Heapsort/heap.cpp"
test -f "C07-Quicksort/quicksort.py" \\
  && ok "C07-Quicksort/quicksort.py" \\
  || miss "missing critical file: C07-Quicksort/quicksort.py"
test -f "C08-Sorting-in-Linear-Time/exercise_code/radixSort.cpp" \\
  && ok "C08-Sorting-in-Linear-Time/exercise_code/radixSort.cpp" \\
  || miss "missing critical file: C08-Sorting-in-Linear-Time/exercise_code/radixSort.cpp"
test -f "README.md" \\
  && ok "README.md" \\
  || miss "missing critical file: README.md"

# 5. Repo recency
days_since_last=$(( ( $(date +%s) - $(git log -1 --format=%at 2>/dev/null || echo 0) ) / 86400 ))
if [ "$days_since_last" -le 967 ]; then
  ok "last commit was $days_since_last days ago (artifact saw ~937d)"
else
  miss "last commit was $days_since_last days ago — artifact may be stale"
fi

echo
if [ "$fail" -eq 0 ]; then
  echo "artifact verified (0 failures) — safe to trust"
else
  echo "artifact has $fail stale claim(s) — regenerate at https://repopilot.app/r/gzc/CLRS"
  exit 1
fi

Each check prints ok: or FAIL:. The script exits non-zero if anything failed, so it composes cleanly into agent loops (./verify.sh || regenerate-and-retry).

</details>

TL;DR

This is a community-driven solutions repository for Introduction to Algorithms (CLRS textbook), providing worked code implementations and written solutions across 5+ chapters covering sorting, recurrences, probabilistic analysis, and growth of functions. It includes C++, Python, and C implementations alongside markdown problem solutions and diagram repositories, functioning as a study resource and reference for algorithmic problem-solving. Flat chapter structure (C01-The-Role-of-Algorithms, C02-Getting-Started, C03-Growth-of-Functions, etc.) with each chapter containing: *.md problem solution files (e.g., 2.1.md, 2.3.md), an exercise_code/ subdirectory with polyglot implementations (inversions.cpp, inversions.py, merge-sort.py), a repo/ subdirectory with diagram PNGs, and a problem.md index. No centralized build config; individual language files compilable independently.

👥Who it's for

Computer science students and junior engineers learning algorithms from the CLRS textbook who need concrete code examples (in C++/Python/C) alongside theoretical problem solutions. Contributors are mostly open-source learners filling gaps in chapter solutions marked 'UNSOLVED'.

🌱Maturity & risk

Early-to-mid maturity: 32+ contributors suggest active community interest, but the repo explicitly states it needs help completing chapters ('This repo needs your help'), has unmarked commit recency, no visible CI/CD setup in the file listing, and explicitly ignores hard problems to accelerate progress. Not production-ready; educational reference quality.

Single curator (gzc) with distributed contributor ownership raises maintenance risk. No visible test suite, CI pipeline, or automated validation of code correctness. The repository acknowledges incomplete coverage ('UNSOLVED' markers throughout) and explicitly deprioritizes difficult problems, creating gaps. No version pinning or dependency management visible beyond the code itself.

Active areas of work

Based on file list: Chapter 2 (Getting Started) and Chapter 5 (Probabilistic Analysis) are in progress with code and diagrams. The repo is actively accepting pull requests for missing sections marked 'UNSOLVED'. A companion project (gitstats) is mentioned for tracking contributions. No specific recent commits or PRs are visible in the metadata provided.

🚀Get running

git clone https://github.com/gzc/CLRS.git
cd CLRS
# For Python solutions: python3 C02-Getting-Started/exercise_code/merge-sort.py
# For C++: g++ -o inversions C02-Getting-Started/exercise_code/inversions.cpp && ./inversions
# For Makefile: make (if Makefile targets are defined for each chapter)

Daily commands: Run individual exercise files by language: python3 C02-Getting-Started/exercise_code/merge-sort.py or g++ C02-Getting-Started/exercise_code/inversions.cpp -o inversions && ./inversions. Makefile likely contains aggregated build targets; check make help or make in repo root. No dev server; all code is CLI/batch executable.

🗺️Map of the codebase

  • C02-Getting-Started/exercise_code/merge-sort.py — Foundational sorting algorithm implementation that demonstrates core algorithmic concepts used throughout the repository.
  • C06-Heapsort/heap.cpp — Critical heap data structure implementation serving as the foundation for heapsort and priority queue exercises.
  • C07-Quicksort/quicksort.py — Primary quicksort implementation referenced across multiple chapters for divide-and-conquer algorithm analysis.
  • C08-Sorting-in-Linear-Time/exercise_code/radixSort.cpp — Linear-time sorting algorithm demonstrating advanced sorting techniques that bridge chapters 6-8.
  • README.md — Entry point defining the repository's purpose as solutions to Introduction to Algorithms (CLRS).
  • C04-Recurrences/exercise_code/findMissing.py — Practical application of recurrence relation solving techniques from Chapter 4.

🧩Components & responsibilities

  • Theory Layer (.md files) (Markdown, LaTeX math notation) — Explains algorithmic correctness, recurrence relations, time/space complexity analysis using mathematical notation and pseudocode
    • Failure mode: Incorrect complexity analysis, incomplete proofs, or unclear explanations confuse learners and propagate misconceptions
  • Python Implementation (Python 3) — Provides readable, entry-level algorithm implementations with comments and edge-case handling for learning and reference
    • Failure mode: Off-by-one errors, incorrect pivot selection, or infinite loops cause algorithm to fail on test cases; readability issues obstruct learning

🛠️How to make changes

Add a new sorting algorithm solution

  1. Create a new chapter directory following pattern CXX-Chapter-Name/ in repository root (C09-Example-Chapter/(create new))
  2. Add implementation files in exercise_code/ subdirectory with clear naming (algorithm_name.py or algorithm_name.cpp) (C09-Example-Chapter/exercise_code/new_algorithm.py)
  3. Create markdown solution file (e.g., 9.1.md, 9.2.md) documenting theoretical analysis and code explanation (C09-Example-Chapter/9.1.md)
  4. Add problem.md summarizing all exercise problems for that chapter (C09-Example-Chapter/problem.md)
  5. Create repo/ subdirectory with solution diagrams/proofs as PNG images if needed (C09-Example-Chapter/repo/s1/diagram.png)

Add alternative implementation of existing algorithm

  1. Identify target chapter and algorithm (e.g., C07-Quicksort/quicksort.py) (C07-Quicksort/quicksort.py)
  2. Create new variant file in exercise_code/ with descriptive name (e.g., quicksort_iterative.py) (C07-Quicksort/exercise_code/quicksort_iterative.py)
  3. Add complexity analysis and comparison notes to corresponding .md file in chapter root (C07-Quicksort/7.2.md)

Add C++ implementation for Python algorithm

  1. Locate the Python reference implementation in exercise_code/ (C08-Sorting-in-Linear-Time/exercise_code/in_place_counting_sort.py)
  2. Create corresponding .cpp file in same exercise_code/ directory with matching algorithm name (C08-Sorting-in-Linear-Time/exercise_code/counting_sort.cpp)
  3. If algorithm is complex, add makefile in chapter root for compilation (reference C06-Heapsort/makefile pattern) (C08-Sorting-in-Linear-Time/makefile)

🔧Why these technologies

  • Python — Primary language for implementing algorithms; readable, concise syntax makes algorithmic concepts clear and accessible for learning
  • C++ — Secondary language for performance-critical implementations (heaps, sorting) and memory-efficient solutions; demonstrates industrial-strength algorithm coding
  • Markdown (.md) — Stores mathematical proofs, complexity analysis, and theoretical explanations that accompany each code solution
  • PNG Diagrams — Visual representations of algorithm steps (partitioning, heap operations, recurrence trees) aid conceptual understanding

⚖️Trade-offs already made

  • Solutions organized by textbook chapter rather than algorithm category

    • Why: Mirrors CLRS book structure for educational continuity and progression
    • Consequence: Users must navigate by chapter number; related algorithms (sorting variants) may be scattered across chapters 2, 6, 7, 8
  • Multiple language implementations (Python + C++) for same algorithm

    • Why: Serve both learning (Python) and performance (C++) audiences
    • Consequence: Maintenance burden; implementations may drift in logic if not kept in sync
  • Include both theoretical .md solutions and code implementations

    • Why: Provide complete learning path from proof to practical execution
    • Consequence: Repository size larger than pure code-only; requires markdown expertise from contributors
  • Store visual diagrams as static PNG images in repo/ subdirectories

    • Why: Avoid external dependencies; diagrams checked into git for permanent reference
    • Consequence: Binary files increase repo size; difficult to version or edit collaboratively

🚫Non-goals (don't propose these)

  • Does not provide interactive visualization of algorithm execution
  • Does not include performance benchmarking framework or timing comparisons
  • Does not cover algorithms beyond Introduction to Algorithms textbook scope (no advanced topics like approximation algorithms or online algorithms in main chapters)
  • Does not provide auto-grading or automated testing infrastructure
  • Not a substitute for studying the CLRS textbook; solutions assume reader familiarity with chapter material

🪤Traps & gotchas

  1. No test suite: Code solutions lack automated validation; correctness relies on manual review. 2. Multi-language version skew: Same algorithm exists in C++/Python/C with potential implementation divergence; no sync mechanism. 3. Incomplete chapters: Many 'UNSOLVED' problems mean solutions don't cover the full textbook; contributors may face gaps when advancing past Chapter 5. 4. Diagram dependencies: Some markdown solutions reference repo/*.png images; moving or renaming image files breaks markdown links. 5. No CI validation: No linter, type checker, or runtime tests on PR merge; low-quality or broken code can be committed.

🏗️Architecture

💡Concepts to learn

  • Divide-and-Conquer Recurrence Relations — Chapter 4 (Recurrences) and Chapter 2 solutions (merge-sort.py, inversions.cpp) rely on solving T(n) = 2T(n/2) + O(n) patterns; essential for analyzing sorting and other recursive algorithms
  • Inversion Counting via Merge-Sort — inversions.cpp/inversions.py implement a classic O(n log n) application of merge-sort to count inversions; demonstrates how divide-and-conquer solves non-trivial counting problems beyond basic sorting
  • Asymptotic Notation (O, Θ, Ω) — Chapter 3 (Growth of Functions) formalizes complexity analysis; required for evaluating all algorithm solutions in the repo and understanding why merge-sort beats insertion-sort
  • Randomized Algorithms & Probabilistic Analysis — Chapter 5 (myrandom.py, *.md files) introduces randomization for algorithms like quicksort and randomized select; foundational for understanding non-deterministic algorithm behavior
  • Binary Search in Insertion Sort — Insertion_sort_with_binary_search.py in Chapter 2 exercises demonstrates optimization technique (reducing comparisons from O(n) to O(log n) per insertion) without improving worst-case runtime, teaching the distinction between theoretical and practical improvements
  • Substitution & Master Theorem for Recurrence Solving — Chapter 4 sections 4.3-4.4 cover methods to solve T(n) equations; fundamental for analyzing divide-and-conquer algorithms like those in Chapter 2, and directly applies to recursion tree analysis
  • EbookFoundation/free-programming-books — Curates free algorithms and CS theory resources including CLRS study guides and solution sets across GitHub; CLRS repo is one of many linked algorithm learning repositories
  • TheAlgorithms/Python — Parallel polyglot algorithms implementation repository covering similar CLRS topics (sorting, searching, dynamic programming) with broader algorithm coverage and active CI/testing
  • williamfiset/Algorithms — Java-focused algorithm implementations and CLRS-adjacent problem solutions; overlaps on foundational algorithms (merge-sort, recurrences) with different language focus
  • gzc/gitstats — Sister project explicitly mentioned in README for tracking contribution statistics across the CLRS solutions repository; used to measure community engagement
  • acomputerofyourown/KeepCodingTheClassics — Educational algorithms textbook implementations using CLRS chapters as curriculum framework; similar study-group-driven approach to solutions

🪄PR ideas

To work on one of these in Claude Code or Cursor, paste: Implement the "<title>" PR idea from CLAUDE.md, working through the checklist as the task list.

Add comprehensive test suite for exercise_code implementations across chapters

The repo contains scattered Python and C++ implementations (e.g., C02-Getting-Started/exercise_code/.py, C04-Recurrences/exercise_code/.py, C06-Heapsort/*.cpp) with no visible test files. A new contributor could create unit tests to validate correctness of these algorithm implementations, ensuring they match CLRS problem specifications. This would increase code reliability and serve as executable validation for readers.

  • [ ] Create tests/ directory structure mirroring chapter organization
  • [ ] Add pytest tests for C02 implementations (Insertion_sort_with_binary_search.py, binary-search.py, merge-sort.py, inversions.py)
  • [ ] Add pytest tests for C04 implementations (findIndex.py, findMissing.py)
  • [ ] Add C++ unit tests for C06 implementations (heap.cpp, d-ary-heaps.cpp, p_queue.cpp) using a framework like Google Test or Catch2
  • [ ] Add test execution to a GitHub Actions workflow

Create missing exercise_code directories and implementations for chapters 3-5

Chapters C03-Growth-of-Functions, C04-Recurrences (partially), and C05-Probabilistic-Analysis-and-Randomized-Algorithms have markdown solutions but lack corresponding exercise_code directories with implementations. A contributor could add code implementations for key problems (e.g., asymptotic analysis comparisons, recurrence solving, randomized algorithms like RANDOMIZE-IN-PLACE) to make the repo more practical and executable.

  • [ ] Create C03-Growth-of-Functions/exercise_code/ with Python implementations demonstrating asymptotic growth comparisons
  • [ ] Expand C04-Recurrences/exercise_code/ with additional recurrence-solving examples beyond findIndex.py and findMissing.py
  • [ ] Create C05-Probabilistic-Analysis-and-Randomized-Algorithms/exercise_code/ with implementations of randomized algorithms (e.g., RANDOMIZE-IN-PLACE, RANDOM-SELECT with test cases)

Standardize and consolidate image assets with alt-text documentation

The repo contains scattered PNG and JPG files in repo/s1, repo/s2, repo/s3, repo/p subdirectories across multiple chapters (C02, C04, C05, C06) without clear naming or documentation. A contributor could create an assets inventory with descriptive filenames, add a README in each chapter's repo/ folder explaining what each image illustrates, and generate a central assets.md documenting all visual solutions for easier reference and GitHub rendering.

  • [ ] Create C02-Getting-Started/repo/README.md, C04-Recurrences/repo/README.md, C05-Probabilistic-Analysis-and-Randomized-Algorithms/repo/README.md, C06-Heapsort/repo/README.md documenting each image's purpose
  • [ ] Rename ambiguous image files (e.g., 1.png, 2.png) to descriptive names (e.g., insertion-sort-example.png, merge-sort-recursion-tree.png)
  • [ ] Add alt-text and embedded images to corresponding markdown files (.md) for better GitHub rendering

🌿Good first issues

  • Complete C02-Getting-Started (Chapter 2) missing exercises: implement problem 2.3 solutions in Python and C++ matching the pattern of 2.1 and 2.2, and add corresponding *.md solution walk-throughs with complexity analysis.
  • Expand C04-Recurrences exercise_code: currently has findMissing.py and findIndex.py; add C++ equivalents (findMissing.cpp, findIndex.cpp) and Makefile rules to compile and test them, following the polyglot pattern in Chapter 2.
  • Audit and complete C03-Growth-of-Functions (3.1.md, 3.2.md exist but exercise_code/ is empty): extract 3 representative problems from the markdown, implement in Python and C++, and place in new exercise_code/ subdirectory with test cases demonstrating O/Θ/Ω notation.

Top contributors

Click to expand

📝Recent commits

Click to expand
  • b7d3df5 — randomized-select (gzc)
  • f25a07e — Merge pull request #337 from pratham1002/patch-1 (gzc)
  • 1e18fac — The answer was meant for Insertion Sort but Quick Sort written. (pratham1002)
  • 7a82e9b — Merge pull request #336 from Qian-Donglin/master (gzc)
  • e0a26ee — add C04 problem6 english and japanese explanation (Donglin Qian)
  • a7d6553 — Merge pull request #335 from vitaminac/master (gzc)
  • 3d86e91 — Fix 1.82-7 formula (vitaminac)
  • b1becf9 — Update README.md (gzc)
  • 089afef — Merge pull request #323 from lzou13/patch-1 (gzc)
  • 2d71f17 — Merge pull request #334 from vitaminac/patch-1 (gzc)

🔒Security observations

This is an educational repository containing algorithm solutions with minimal security concerns typical of open-source educational projects. No critical vulnerabilities were identified. The main areas for improvement are: (1) establishing formal dependency management and tracking, (2) implementing input validation in algorithm code, (3) documenting security policies, and (4) hardening C++ compilation flags. The repository's primary risk stems from its educational nature and multiple contributors rather than inherent code vulnerabilities. Since this is educational content with no production dependencies, deployment of production systems, or sensitive operations, the overall security posture is reasonable.

  • Low · No Dependency Management File — Root directory / All Python and C++ projects. The repository lacks a package manager configuration file (e.g., requirements.txt, package.json, pom.xml). This makes it difficult to track dependencies and their versions, increasing the risk of using outdated or vulnerable libraries. Fix: Create and maintain dependency files (requirements.txt for Python, package.json for Node.js, etc.) with pinned versions. Regularly audit dependencies using tools like pip-audit, npm audit, or similar.
  • Low · No Security Policy or Code Review Process Documented — Root directory / Documentation. The repository contains educational algorithm solutions from multiple contributors without visible security guidelines, code review processes, or vulnerability disclosure policies. Fix: Add a SECURITY.md file documenting vulnerability reporting procedures, code review requirements, and security best practices for contributors.
  • Low · Potential Input Validation Issues in Algorithm Code — C02-Getting-Started/exercise_code/, C04-Recurrences/exercise_code/, C07-Quicksort/exercise_code/. Algorithm implementation files (e.g., binary-search.py, inversions.py) may not include comprehensive input validation, which could lead to unexpected behavior if malicious or malformed data is provided. Fix: Add input validation and bounds checking to all algorithm implementations. Document expected input formats and ranges. Include error handling for edge cases.
  • Low · Missing Build Configuration Security — C06-Heapsort/makefile. The Makefile in C06-Heapsort lacks common security flags and hardening options for C++ compilation. Fix: Add compiler security flags such as -Wall -Wextra -fPIE -fstack-protector-all -D_FORTIFY_SOURCE=2 to the Makefile. Consider using Address Sanitizer (ASAN) during development.

LLM-derived; treat as a starting point, not a security audit.


Generated by RepoPilot. Verdict based on maintenance signals — see the live page for receipts. Re-run on a new commit to refresh.

Mixed signals · gzc/CLRS — RepoPilot