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Gardener's Woe (Posted on 2006-06-24) Difficulty: 4 of 5
An unlucky gardener planted a 10x10 square array of 100 old seeds out in the garden. Only 5 of these seeds have germinated including one at the southwest corner (0,0) where a slug is currently reducing it to ground level.

When it finishes it will head directly to the next closest doomed plant. After it eats that one it will again leave a slime trail to the closest remaining plant and so on until the garden is no more.

Where are the 4 remaining seedlings if the path crawled by the slug is the longest possible and it never has to choose between two equidistant snacks?

Note: Although the slug will never have to choose between two equidistant seedlings, this doesn't imply that no two are equidistant.

Next find the locations if 6 seedlings had germinated instead of 5.

See The Solution Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(3): Nicely done -- now through 7 seedlingsJer2006-06-26 18:58:23
Solutionre(2): Nicely done -- now through 7 seedlingsCharlie2006-06-26 13:47:48
Solutionre: Nicely done -- 2 thru 6 seedlingsCharlie2006-06-26 11:15:09
Nicely doneJer2006-06-26 09:50:11
Solutionre(2): computer solution to 6Charlie2006-06-26 09:48:59
re: My solution for 6 seedsDej Mar2006-06-25 20:11:59
re: My solution for 6 seedsCharlie2006-06-25 20:02:02
SolutionMy solution for 6 seedsatheron2006-06-25 19:03:09
re: computer solution to 6Dej Mar2006-06-25 17:11:57
Solutioncomputer solution to 6Charlie2006-06-25 16:13:48
Solutioncomputer solution for 5Charlie2006-06-25 15:07:10
re(2): My solution for 5 seedsatheron2006-06-25 14:23:07
re: My solution for 5 seedsJer2006-06-25 11:26:50
Some ThoughtsMy solution for 5 seedsatheron2006-06-25 10:54:47
Slimy trails (6 seedlings spoiler?)Dej Mar2006-06-25 09:12:21
re: The long dusty trail of slime (5 seedlings spoiler)brianjn2006-06-25 00:40:27
The long dusty trail of slime (5 seedlings spoiler)Dej Mar2006-06-25 00:11:30
Solution'Arcs' for part 2brianjn2006-06-24 21:54:21
Some Thoughts'Arcs' for part 1brianjn2006-06-24 20:46:15
Some Thoughtsre: Clarifications and stuff (spoiler)Dej Mar2006-06-24 19:45:50
Clarifications and stuffJer2006-06-24 17:01:57
did I understood correctly?atheron2006-06-24 15:42:00
Some Thoughtspossible solution for 5 seedlings (spoiler)Dej Mar2006-06-24 15:30:20
Some Thoughtsre(2): Some thinkingFederico Kereki2006-06-24 14:45:52
re: Some thinkingVictor Zapana2006-06-24 14:09:25
Some ThoughtsSome thinkingOld Original Oskar!2006-06-24 12:50:04
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