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Passing Through (Posted on 2005-04-06) Difficulty: 3 of 5
You are standing in the very corner of a 10 X 10 grid of dots. How many different ways are there to get to the opposite corner of the grid? You must travel through every node once, and only once. You cannot travel diagonally, and you may not go outside of the overall perimeter.

  Submitted by Juggler    
Rating: 3.2500 (4 votes)
Solution: (Hide)
I believe the answer is '0' , start by using a gris 2 x 2, you cannot possibly get to the opposite corner by using all nodes. the same is true for a 4 x 4 grid and also a 6 x 6.

This can be proven by coloring points alternatively black and white. On an even sided grid, any trip should start at one color and end at the other -- but since opposite corners have the same color, this isn't possible.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle Thoughts K Sengupta2023-08-09 06:46:24
re: ConclusionJuggler2005-06-08 16:13:12
ConclusionJonathan Chang2005-04-23 14:50:26
SolutionJonathan Chang2005-04-23 11:49:08
SolutionJonathan Chang2005-04-23 11:44:28
re: SolutionHugo2005-04-20 07:13:52
SolutionJonathan Chang2005-04-20 02:27:17
SolutionJonathan Chang2005-04-20 01:55:28
SolutionJonathan Chang2005-04-20 01:08:26
re: SolutionHugo2005-04-19 16:19:46
SolutionJonathan Chang2005-04-19 15:04:18
re: SolutionHugo2005-04-19 13:00:46
SolutionJonathan Chang2005-04-19 10:30:37
re: SolutionHugo2005-04-19 07:24:42
SolutionJonathan Chang2005-04-19 01:03:05
SolutionJonathan Chang2005-04-18 23:25:46
re: Clarification - continueHugo2005-04-18 13:36:27
Clarification - continueJonathan Chang2005-04-18 11:47:02
Clarification from my point of viewJonathan Chang2005-04-18 11:03:13
re: SolutionHugo2005-04-16 21:01:22
SolutionJonathan Chang2005-04-16 10:58:48
Feedback from the commentsJonathan Chang2005-04-16 00:32:58
never mindsteve2005-04-08 06:52:17
possible solutionsteve2005-04-08 06:15:41
Some ThoughtsNo Subjectsteve2005-04-08 06:12:18
up to 5x5Jer2005-04-07 18:09:42
SolutionSolutione.g.2005-04-06 21:06:48
SolutionEric2005-04-06 19:33:19
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