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Numerical path (Posted on 2008-09-23) Difficulty: 2 of 5
Draw only one continuous line into the 8x8 diagram below, which begins in the left cell above (with a 01) and ends in the right bottom cell (with a 33). The line must pass through all the numbers from 01 to 33 (through the center of each cell), once and only once through each one, and can run only horizontally or vertically (not diagonally). Besides, the line may not cross itself.

Far from being a trial and error problem, this can be solved logically.
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 01  | 16  | 05  | 20  | 25  | 09  | 21  | 01  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 18  | 10  | 27  | 26  | 11  | 17  | 12  | 32  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 32  | 11  | 15  | 19  | 08  | 06  | 27  | 20  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 17  | 04  | 13  | 24  | 30  | 28  | 31  | 02  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 25  | 10  | 02  | 26  | 04  | 28  | 22  | 13  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 05  | 14  | 30  | 08  | 15  | 31  | 19  | 06  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 23  | 07  | 24  | 16  | 29  | 22  | 18  | 19  |
     +-----+-----+-----+-----+-----+-----+-----+-----+
     | 03  | 12  | 09  | 03  | 07  | 14  | 23  | 33  |
     +-----+-----+-----+-----+-----+-----+-----+-----+

See The Solution Submitted by pcbouhid    
Rating: 2.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Petition directorpcbouhid2008-09-24 21:28:56
Petition directorGamer2008-09-24 20:36:47
re(2): Analytical solutions - answering ed and brianGamer2008-09-24 20:34:45
re: Analytical solutions - answering ed and brianpcbouhid2008-09-24 09:01:21
SolutionAnalytical solutions (hopefully all of them)Gamer2008-09-24 02:26:24
re: SolutionDej Mar2008-09-23 23:17:10
re: Methods used?Leming2008-09-23 18:32:47
Methods used?ed bottemiller2008-09-23 18:19:25
Solutioned bottemiller2008-09-23 18:06:51
Some Thoughtsre: Solution - alternative 15 and 28Leming2008-09-23 17:59:14
SolutionSolutionDej Mar2008-09-23 13:35:47
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