Three matrix algorithms, three walk orders – interactive animations
The article discusses three matrix algorithms and their respective walk orders for rotating a matrix. It explains the processes of rotating a matrix 90° clockwise, spiral traversal, and staircase search. Each method is accompanied by specific steps and common pitfalls to avoid during implementation.
- ▪The 90° clockwise rotation can be achieved by first transposing the matrix and then reversing each row.
- ▪Spiral traversal involves visiting every cell along the perimeter of a shrinking rectangle.
- ▪Staircase search is used when the matrix is monotone along both rows and columns, starting from a corner.
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Story provenance
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Record
| Original publisher | Algorhythm |
| Canonical URL | https://algo-rhythm.dev/en/matrix/ |
| Publication time | Fri, 22 May 2026 01:55:32 +0000 |
| Retrieval time | 2026-05-22T02:01:36.543Z |
| Last seen | 2026-05-22T02:01:36.543Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | W99O8eSZ8EWI |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
/ library›matrixMatrix01 / The shared mechanismA matrix isn't a single sequence — it's a 2-D coordinate space where every cell is addressed by two indices that compose in specific ways. The job is finding the right walk order. Three classic sub-patterns: rotate by transpose-then-reverse, spiral by shrinking-boundary loops, and staircase search by walking from a corner where the answer is monotone in both directions.01Rotate in place02Spiral traversal03Staircase search02 / The one-sentence essenceA 90° clockwise rotation factors into transpose + reverse each row — two clean in-place passes whose composition is exactly the rotation, with no extra grid.animationcomplexity Problemrotate the matrix 90° clockwise, in placeM3×3?123456789Square matrix of size 3×3.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at Algorhythm.