A Garden Variety Puzzle Five friends have their gardens all in a row (#s 1-5), where they grow three kinds of crops each in 4 different varieties: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion), and flowers (aster, rose, tulip, lily). 1. Each of the 12 varieties are grown in at least in one garden. 2. In every garden grows exactly 4 different varieties. 4. Only one variety is in 4 gardens. 5. Only in one garden are all 3 kinds of crops. 6. Only in one garden are all 4 varieties of one kind of crop. 7. Pear is only in the two end gardens. 8. Paul's garden is in the middle with no lily. 9. No garden with Aster has vegetables. 10. No garden with Rose has parsley. 11. Any garden with nuts also has gourd and parsley. 12. In the first garden are apples and cherries. 13. Only in two gardens are cherries. 14. Sam has onions and cherries. 15. Luke grows exactly two kinds of fruit. 16. Tulip is only in two gardens. 17. Apple is in a single garden. 18. Exactly one garden next to Zick's has parsley. 19. Sam's garden is not on either end of the row. 20. Hank grows neither vegetables nor asters. 21. Paul has exactly three kinds of vegetable. Who can reach over their fence to steal a carrot?