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#1 User is offline   rookie1ja Icon

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Posted 30 March 2007 - 06:20 PM

Gardens - Back to the Einstein's Riddles
Five friends have their gardens next to one another, where they grow three kinds of crops: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion) and flowers (aster, rose, tulip, lily).

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
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 crops.
7. Pears are only in the two border gardens.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose grower doesn't grow parsley.
11. Nuts grower has also 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. Tulips are only in two gardens.
17. Apples are in a single garden.
18. Only in one garden next to the Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Who has which garden and what is grown where?


Spoiler for Solution:
Gardens - solution
Attached File  gardens-solution.gif (15.45K)
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#2 User is offline   JSW Icon

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Posted 07 November 2007 - 10:03 PM

My Solutions process:
  • Write out clues and cross reference
    Ex: Nuts => gourd & parsley => no rose, no aster (Clues 9,10,11)
  • Write out limit: # variety & where or who
    Example = 2 cherries: #1, Sam; 1 apple: #1; 2 tulips: ?,?; ...


  • Spoiler for Who is the Nut Grower?:
    Luke in Garden #5

  • Who lives where?
  • Write who has what (so far)?
  • Who grows only 1 kind of crop?
  • Which variety is in 4 gardens?
  • Who has all 3 kinds of crops?
  • Re-check limits

Done!

Joshua S. Weinstein
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#3 User is offline   axdr Icon

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Posted 22 March 2008 - 03:49 AM

THAT LIST MAKES ME SO CONFUSED :huh:
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#4 User is offline   onetruth Icon

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Posted 09 April 2008 - 12:15 AM


Spoiler for Possibly...:
1. Hank - apples, cherries, pears, lilies
2. Sam - cherries, carrots, onions, lilies
3. Paul - carrots, gourds, onions, tulips
4. Zick - asters, roses, tulips, lilies

5. Luke - nuts, pears, parsley, gourds

Reason is the natural order of truth; but imagination is the organ of meaning.
C. S. Lewis


Books on psychology or economics or politics are as continuously metaphorical as books of poetry or devotion. -- C.S. Lewis
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#5 User is offline   informatician Icon

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Posted 14 October 2009 - 05:08 PM

I am new to this site, so I hope that I am not being too bold. Especially since I'm replying to a year+ old post. However, In onetruth's alternate answer, hint # 4 is not accounted for, therefore it is not possible.
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#6 User is offline   AVV Icon

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Posted 03 November 2009 - 02:11 PM

Yeah... for the clue#4
Only one variety is in 4 gardens.
I don't see any variety is in 4 gardens.
And, i think there is no answer possible to that clue.
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#7 User is offline   Jubjub Icon

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Posted 14 November 2009 - 01:35 AM

The easiest method is to just to use a grid.
Otherwise you just cause migraines
It's All Crazy! It's All False! It's All A Dream! It's Alright!
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