Heyawake Rules and Strategy: How to Solve Room Puzzles
Complete Heyawake guide. Learn the room-shading rules, no-three-in-a-row constraint, white connectivity, and systematic solving techniques.
Heyawake is a beautifully balanced Japanese shading puzzle where you shade cells in a grid divided into rectangular rooms. Three simple rules create deep, satisfying logic.
1 The Three Rules of Heyawake
1. **Numbered rooms**: A room with a number must contain exactly that many shaded cells 2. **No three in a row**: Shaded cells cannot form a continuous line of 3+ horizontally or vertically 3. **White connectivity**: All unshaded (white) cells must form one connected group
💡 Pro Tips
- ✓ Rules apply globally — the three-in-a-row constraint spans across room boundaries
- ✓ White connectivity means every white cell must be reachable from every other white cell
- ✓ Rooms without numbers still affect the puzzle through the global constraints
- ✓ A valid solution satisfies all three rules simultaneously
2 Beginner Strategy: Extreme Numbers
Start with rooms that have extreme numbers: **Room size = number**: Shade all cells in the room. **Number = 0**: Mark all cells white. **1x1 room with number 1**: Shade the single cell.
💡 Pro Tips
- ✓ Process all 0 rooms first — they give free white cells and constrain neighbors
- ✓ Full rooms (number = size) give free shaded cells and trigger three-in-a-row checks
- ✓ Rooms spanning multiple rows/columns create the strongest early constraints
- ✓ Mark forced white cells with a dot to track connectivity
3 The Three-in-a-Row Rule
This rule is your most powerful deduction tool: **Direct prevention**: Two shaded cells next to each other force the cells before and after to be white. **Gap analysis**: If two shaded cells have one cell between them, that middle cell must be white. **Cross-boundary**: This rule applies across room boundaries.
💡 Pro Tips
- ✓ After every shade, check both directions for three-in-a-row violations
- ✓ Mark forced white cells immediately — they propagate constraints to neighbors
- ✓ Look for "almost three in a row" situations that force nearby cells white
- ✓ This rule is often the key to breaking through stuck points
4 Connectivity Thinking
**Island detection**: If shading a cell would isolate a group of white cells, that cell must be white. **Corridor analysis**: Long narrow passages of white cells must stay connected. **Edge and corner cells**: Cells at grid edges have fewer white neighbors, making them more constrained.
💡 Pro Tips
- ✓ Trace white cell connections mentally — if a shade would create an island, it is invalid
- ✓ Long corridors of white cells are fragile — shade near them carefully
- ✓ The connectivity rule often determines cells that number clues alone cannot
- ✓ When stuck, check if any unshaded cell would break connectivity if shaded
❓ Frequently Asked Questions
Is Heyawake hard to learn?
Do I ever need to guess in Heyawake?
How is Heyawake different from Nurikabe?
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