# Skyscrapers Logic — Latin Square Puzzle

> Latin Square Puzzle (iPhone/iPad app by 晓 郭.)

- Source: https://appshunter.io/ios/app/skyscrapers-logic/id6770450841 (this page in markdown: same URL + `.md`)
- Developer: [晓 郭](https://appshunter.io/developer/1895645928)
- Category: Games
- Price: Free
- Age rating: 4+
- Requires: iOS 16.0 · 1 MB
- Languages: American English
- Released: 2026-05-19
- Data updated: 2026-06-04
- User reviews in markdown: https://appshunter.io/ios/app/skyscrapers-logic/id6770450841/reviews.md

## What is Skyscrapers Logic?

Skyscrapers — A Mathematical Logic Puzzle

Skyscrapers is a deterministic logic puzzle based on the mathematical concept of Latin squares, enhanced with edge visibility constraints derived from combinatorial optimization.

Game Mechanics:
• Grid Size: N×N (4×4, 5×5, or 6×6)
• Domain: Fill each cell with integers 1 through N
• Constraint 1: Latin Square — each integer appears exactly once per row and column
• Constraint 2: Visibility Clues — edge numbers indicate count of visible buildings from that direction
• Visibility Function: f(sequence) = count of elements where value[i] > max(value[0..i-1])

Difficulty Architecture:
• Easy (4×4): Clue retention rate ~80%. Optimal for learning constraint propagation techniques.
• Medium (5×5): Clue retention rate ~60%. Balanced complexity requiring multi-step logical deduction.
• Hard (6×6): Clue retention rate ~40%. Advanced difficulty demanding systematic elimination strategies.

Analytical Features:
• Performance Tracking: Best completion time recorded per difficulty tier
• Game Count: Total solved puzzles tracked per difficulty level
• Auto-Save System: State persistence via UserDefaults with 500ms debounce
• Undo Stack: Up to 100 reversible operations
• Notes System: Candidate digit annotation for hypothesis testing
• Conflict Detection: Real-time row/column duplicate and clue violation highlighting

Technical Specifications:
• Platform: iOS 16+ (iPhone, portrait orientation only)
• Framework: Pure SwiftUI, zero third-party dependencies
• Architecture: MVVM pattern with reactive state management
• Performance: O(N) visibility calculation, deterministic puzzle generation
• Privacy: 100% offline. No network access, no analytics, no data collection.

Target Audience:
Engineers, mathematicians, data scientists, and analytical thinkers who appreciate deterministic puzzles with no randomness in solution paths. If you value Sudoku, nonograms, or constraint satisfaction problems, this app delivers rigorous logical challenges.


## Version history (last 1 release)

### 1.0.0 — 2026-05-19

No release notes.

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All apps by 晓 郭: https://appshunter.io/developer/1895645928

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-04.*