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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.

 See The Solution Submitted by Juggler Rating: 3.2500 (4 votes)

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 Solution | Comment 21 of 28 |

There are numerous to go about it.  The following is one of the way;

1   2  3  4  5  6  7  8  9  10

1   S  R  R  R  R  R  R  R  R  D

2   D  L  L   L  L   L   L  L  L   D

3   D  R  D  R D  R   D  R U   D

4   D  U  D  U D  U  D   U  L  D

5   D  U  D  U  D  U  D  R  U  D

6   D  U  D  U   D  U  D  U  L  D

7   D  U  R  U    R  U  R  R  U  D

8   D  U   L  L   L   L   L  L   L   L

9   R   R   R  R  R  R  R  R  R  D

10 F   L    L   L   L  L  L   L  L   L

D = DOWN; U = UP; L = LEFT; R = RIGHT; S = STARTING POINT; F = FINISHING POINT

 Posted by Jonathan Chang on 2005-04-20 01:55:28

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