The village bake sale

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 2/4 · 27 verified grid deductions · 0 counterfactuals. Difficulty measures the rules used by this solver, not a promised completion time.

1. Step 1: Clue 2: Grace is not paired with White. Grace cannot be paired with White.
2. Step 2: Clue 4: Lemon is not paired with Wooden. Lemon cannot be paired with Wooden.
3. Step 3: Clue 5: Carrot is not paired with Wooden. Carrot cannot be paired with Wooden.
4. Step 4: Clue 6: Grace is not paired with Lemon. Grace cannot be paired with Lemon.
5. Step 5: All other Cakes choices for Wooden have been eliminated. Chocolate must be paired with Wooden.
6. Step 6: Chocolate is already matched to Wooden; each item is used once. Chocolate cannot be paired with White.
7. Step 7: Chocolate is already matched to Wooden; each item is used once. Chocolate cannot be paired with Glass.
8. Step 8: Clue 1 restricts Grace to Lemon or Carrot. Grace cannot be paired with Chocolate.
9. Step 9: All other Cakes choices for Grace have been eliminated. Grace must be paired with Carrot.
10. Step 10: Carrot is already matched to Grace; each item is used once. Daisy cannot be paired with Carrot.
11. Step 11: Carrot is already matched to Grace; each item is used once. Arthur cannot be paired with Carrot.
12. Step 12: Clue 3 restricts Arthur to Lemon or Carrot. Arthur cannot be paired with Chocolate.
13. Step 13: All other Bakers choices for Chocolate have been eliminated. Daisy must be paired with Chocolate.
14. Step 14: Daisy is already matched to Chocolate; each item is used once. Daisy cannot be paired with Lemon.
15. Step 15: All other Cakes choices for Arthur have been eliminated. Arthur must be paired with Lemon.
16. Step 16: Daisy and White have no possible Cakes item in common, so they cannot belong together. Daisy cannot be paired with White.
17. Step 17: All other Bakers choices for White have been eliminated. Arthur must be paired with White.
18. Step 18: Arthur is already matched to White; each item is used once. Arthur cannot be paired with Wooden.
19. Step 19: Arthur is already matched to White; each item is used once. Arthur cannot be paired with Glass.
20. Step 20: Both Daisy and Wooden are matched to Chocolate; they must belong together. Daisy must be paired with Wooden.
21. Step 21: Daisy is already matched to Wooden; each item is used once. Daisy cannot be paired with Glass.
22. Step 22: Wooden is already matched to Daisy; each item is used once. Grace cannot be paired with Wooden.
23. Step 23: All other Stands choices for Grace have been eliminated. Grace must be paired with Glass.
24. Step 24: Both Lemon and White are matched to Arthur; they must belong together. Lemon must be paired with White.
25. Step 25: Lemon is already matched to White; each item is used once. Lemon cannot be paired with Glass.
26. Step 26: White is already matched to Lemon; each item is used once. Carrot cannot be paired with White.
27. Step 27: All other Stands choices for Carrot have been eliminated. Carrot must be paired with Glass.

Answer key

Daisy · Chocolate · Wooden

Arthur · Lemon · White

Grace · Carrot · Glass