Skyscrapers Logic vs Magic Grid Box

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.

Magic Grid Box is a calm, friendly logic puzzle for phones and tablets. Fill every grid so that each symbol appears exactly once in every row and every column - a Latin square, the same idea behind Sudoku, but with playful picture symbols instead of numbers. Designed to be relaxing and completely frustration-free, it is a great fit for kids and grown-ups alike. There is no failure state: if a symbol would break the rule, it simply springs back, so the grid can never end up wrong. FEATURES - 5 themed boxes: Sport, Farm, Pirates, Vehicles and Cosmos - 100 hand-tuned levels - 4x4 grids to start, 5x5 grids to master - Two ways to play: drag and drop, or tap a symbol then tap a cell - Gentle, juicy feedback and a satisfying fusion animation on every solve - Unlock the next box as you progress - Plays in portrait and landscape, on phone and tablet NO PRESSURE, NO TRACKING - No ads - No in-app purchases - No accounts and no internet required - play fully offline - No data collected - your progress is saved only on your device Sit back, think it through, and enjoy the quiet satisfaction of a perfectly filled grid.