The bookshop window
A book club visits a tiny bookshop. Work out each reader’s genre and bookmark colour. For ordering clues, the bookmarks run from first to last in the listed order. Each item is used exactly once.
Your deduction grid
Click or press Enter to cycle: blank → × impossible → ✓ confirmed → ? possible. Arrow keys move within a grid.
Bookmarks order: Red → Blue → Gold → Green.
Readers × Genres
| Readers | Mystery | History | Poetry | Fantasy |
|---|---|---|---|---|
| Maya | ||||
| Noah | ||||
| Eva | ||||
| Liam |
Readers × Bookmarks
| Readers | Red | Blue | Gold | Green |
|---|---|---|---|---|
| Maya | ||||
| Noah | ||||
| Eva | ||||
| Liam |
Genres × Bookmarks
| Genres | Red | Blue | Gold | Green |
|---|---|---|---|---|
| Mystery | ||||
| History | ||||
| Poetry | ||||
| Fantasy |
Clues
- Poetry comes immediately before Mystery in the Bookmarks order.
- Noah is not paired with History.
- Eva is not paired with Blue.
- Liam is paired with exactly one of Mystery or Fantasy.
- Fantasy is not paired with Red.
- Mystery is paired with exactly one of Red or Gold.
- Eva is paired with exactly one of Blue or Green.
Reveal the worked solution (spoilers)
One deduction at a time
Follow the numbered clues, one-to-one eliminations and cross-grid deductions. When a counterfactual is needed, its assumptions and clue-by-clue contradiction are shown.
Measured complexity: rule tier 3/4 · 48 verified grid deductions · 0 counterfactuals. Difficulty measures the rules used by this solver, not a promised completion time.
- Step 1: Clue 2: Noah is not paired with History. Noah cannot be paired with History.
- Step 2: Clue 3: Eva is not paired with Blue. Eva cannot be paired with Blue.
- Step 3: Clue 5: Fantasy is not paired with Red. Fantasy cannot be paired with Red.
- Step 4: Clue 1: placing Poetry at Green leaves no valid later position for Mystery at the required gap of 1. Poetry cannot be paired with Green.
- Step 5: Clue 1: placing Mystery at Red leaves no valid earlier position for Poetry at the required gap of 1. Mystery cannot be paired with Red.
- Step 6: Clue 4 restricts Liam to Mystery or Fantasy. Liam cannot be paired with History.
- Step 7: Clue 4 restricts Liam to Mystery or Fantasy. Liam cannot be paired with Poetry.
- Step 8: Clue 6 restricts Mystery to Red or Gold. Mystery cannot be paired with Blue.
- Step 9: Clue 1: placing Poetry at Red leaves no valid later position for Mystery at the required gap of 1. Poetry cannot be paired with Red.
- Step 10: All other Genres choices for Red have been eliminated. History must be paired with Red.
- Step 11: History is already matched to Red; each item is used once. History cannot be paired with Blue.
- Step 12: History is already matched to Red; each item is used once. History cannot be paired with Gold.
- Step 13: History is already matched to Red; each item is used once. History cannot be paired with Green.
- Step 14: Clue 6 restricts Mystery to Red or Gold. Mystery cannot be paired with Green.
- Step 15: All other Bookmarks choices for Mystery have been eliminated. Mystery must be paired with Gold.
- Step 16: Gold is already matched to Mystery; each item is used once. Poetry cannot be paired with Gold.
- Step 17: All other Bookmarks choices for Poetry have been eliminated. Poetry must be paired with Blue.
- Step 18: Blue is already matched to Poetry; each item is used once. Fantasy cannot be paired with Blue.
- Step 19: Gold is already matched to Mystery; each item is used once. Fantasy cannot be paired with Gold.
- Step 20: All other Bookmarks choices for Fantasy have been eliminated. Fantasy must be paired with Green.
- Step 21: Clue 7 restricts Eva to Blue or Green. Eva cannot be paired with Red.
- Step 22: Clue 7 restricts Eva to Blue or Green. Eva cannot be paired with Gold.
- Step 23: All other Bookmarks choices for Eva have been eliminated. Eva must be paired with Green.
- Step 24: Green is already matched to Eva; each item is used once. Maya cannot be paired with Green.
- Step 25: Green is already matched to Eva; each item is used once. Noah cannot be paired with Green.
- Step 26: Green is already matched to Eva; each item is used once. Liam cannot be paired with Green.
- Step 27: Maya and Fantasy have no possible Bookmarks item in common, so they cannot belong together. Maya cannot be paired with Fantasy.
- Step 28: Noah and Fantasy have no possible Bookmarks item in common, so they cannot belong together. Noah cannot be paired with Fantasy.
- Step 29: Eva and Mystery have no possible Bookmarks item in common, so they cannot belong together. Eva cannot be paired with Mystery.
- Step 30: Eva and History have no possible Bookmarks item in common, so they cannot belong together. Eva cannot be paired with History.
- Step 31: All other Readers choices for History have been eliminated. Maya must be paired with History.
- Step 32: Maya is already matched to History; each item is used once. Maya cannot be paired with Mystery.
- Step 33: Maya is already matched to History; each item is used once. Maya cannot be paired with Poetry.
- Step 34: Eva and Poetry have no possible Bookmarks item in common, so they cannot belong together. Eva cannot be paired with Poetry.
- Step 35: All other Readers choices for Poetry have been eliminated. Noah must be paired with Poetry.
- Step 36: Noah is already matched to Poetry; each item is used once. Noah cannot be paired with Mystery.
- Step 37: All other Genres choices for Eva have been eliminated. Eva must be paired with Fantasy.
- Step 38: All other Readers choices for Mystery have been eliminated. Liam must be paired with Mystery.
- Step 39: Liam is already matched to Mystery; each item is used once. Liam cannot be paired with Fantasy.
- Step 40: Both Maya and Red are matched to History; they must belong together. Maya must be paired with Red.
- Step 41: Maya is already matched to Red; each item is used once. Maya cannot be paired with Blue.
- Step 42: Maya is already matched to Red; each item is used once. Maya cannot be paired with Gold.
- Step 43: Red is already matched to Maya; each item is used once. Noah cannot be paired with Red.
- Step 44: Red is already matched to Maya; each item is used once. Liam cannot be paired with Red.
- Step 45: Both Noah and Blue are matched to Poetry; they must belong together. Noah must be paired with Blue.
- Step 46: Noah is already matched to Blue; each item is used once. Noah cannot be paired with Gold.
- Step 47: Blue is already matched to Noah; each item is used once. Liam cannot be paired with Blue.
- Step 48: All other Bookmarks choices for Liam have been eliminated. Liam must be paired with Gold.
Answer key
Maya · History · Red
Noah · Poetry · Blue
Eva · Fantasy · Green
Liam · Mystery · Gold
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