# Skyscrapers Logic

> Latin Square Puzzle

Canonical page: [https://chrome-stats.com/d/id6770450841](https://chrome-stats.com/d/id6770450841)

## Overview

- **ID:** `id6770450841`
- **Platform:** Apple
- **Type:** Apple app
- **Status:** Available
- **Publisher:** 晓 郭
- **Category:** Games
- **Version:** 1.0.0
- **Last updated:** 2026-05-19
- **First published:** 2026-05-19
- **Size:** 715 KB
- **Data as of:** 2026-09-23
- **Store listing:** [Apple App Store](https://apps.apple.com/us/app/skyscrapers-logic/id6770450841)
- **Privacy policy:** [https://adler0518.github.io/apps\_privacys/Skyscrapers-privacy.html](https://adler0518.github.io/apps_privacys/Skyscrapers-privacy.html)

## Description

Master the Latin square with edge visibility constraints. 3 difficulty tiers (4×4 to 6×6). Track performance metrics. 100% offline logic puzzle.

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.

## Rankings

- #1,616,179 — Overall

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Source: [Chrome-Stats](https://chrome-stats.com/d/id6770450841)