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 Passing Through (Posted on 2005-04-06)
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.

 Subject Author Date Puzzle Thoughts K Sengupta 2023-08-09 06:46:24 re: Conclusion Juggler 2005-06-08 16:13:12 Conclusion Jonathan Chang 2005-04-23 14:50:26 Solution Jonathan Chang 2005-04-23 11:49:08 Solution Jonathan Chang 2005-04-23 11:44:28 re: Solution Hugo 2005-04-20 07:13:52 Solution Jonathan Chang 2005-04-20 02:27:17 Solution Jonathan Chang 2005-04-20 01:55:28 Solution Jonathan Chang 2005-04-20 01:08:26 re: Solution Hugo 2005-04-19 16:19:46 Solution Jonathan Chang 2005-04-19 15:04:18 re: Solution Hugo 2005-04-19 13:00:46 Solution Jonathan Chang 2005-04-19 10:30:37 re: Solution Hugo 2005-04-19 07:24:42 Solution Jonathan Chang 2005-04-19 01:03:05 Solution Jonathan Chang 2005-04-18 23:25:46 re: Clarification - continue Hugo 2005-04-18 13:36:27 Clarification - continue Jonathan Chang 2005-04-18 11:47:02 Clarification from my point of view Jonathan Chang 2005-04-18 11:03:13 re: Solution Hugo 2005-04-16 21:01:22 Solution Jonathan Chang 2005-04-16 10:58:48 Feedback from the comments Jonathan Chang 2005-04-16 00:32:58 never mind steve 2005-04-08 06:52:17 possible solution steve 2005-04-08 06:15:41 No Subject steve 2005-04-08 06:12:18 up to 5x5 Jer 2005-04-07 18:09:42 Solution e.g. 2005-04-06 21:06:48 Solution Eric 2005-04-06 19:33:19

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