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The George and Stella Saga (Posted on 2005-12-26) Difficulty: 3 of 5

George lives at the corner of 1st Street and 1st Avenue. Each afternoon George visits his girlfriend, Stella, who lives at the corner of 8th Street and 8th Avenue. He varies his route but always walks 1400 meters (it is 100 meters between adjacent Streets and between adjacent Avenues). Sometimes he stops at one of the corner pubs marked as P in the diagram.

On May 1st 2006, after several months of these visits, Stella wants to get married and says to George, "If you don't propose marriage to me soon, I am going to propose to you." George replies, "Starting tomorrow I will walk a different route to your house and when I have used all the different possible routes, you can propose to me." "OK," says Stella, "but you must never go through an intersection with a pub at one of its corners." "It's a deal" replies George.

On what date will Stella be able to propose to George?

  Submitted by Nosher    
Rating: 4.0000 (3 votes)
Solution: (Hide)
There are 2,130 different routes, so Stella will be able to propose on February 29th 2012.
How appropriate...Leap Day

Charlie's solution nicely explains why there are 2,130 different routes.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsanswerK Sengupta2007-07-28 11:54:21
re: The way I figure it (solution)Nosher2005-12-27 18:10:21
Two Questions and an AnswerVernon Lewis2005-12-26 21:26:08
re(2): SolutiongoFish2005-12-26 20:23:47
Path SubtractionGamer2005-12-26 19:32:31
re: The way I figure it (solution)MindRod2005-12-26 18:00:25
re: The way I figure it (solution)Hugo2005-12-26 17:33:22
Questionre: SolutionCharlie2005-12-26 15:24:42
SolutionThe way I figure it (solution)Charlie2005-12-26 15:16:55
SolutiongoFish2005-12-26 12:22:00
Just say NOHugo2005-12-26 10:15:38
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