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 Numerical path (Posted on 2008-09-23)
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)

 Subject Author Date re: Petition director pcbouhid 2008-09-24 21:28:56 Petition director Gamer 2008-09-24 20:36:47 re(2): Analytical solutions - answering ed and brian Gamer 2008-09-24 20:34:45 re: Analytical solutions - answering ed and brian pcbouhid 2008-09-24 09:01:21 Analytical solutions (hopefully all of them) Gamer 2008-09-24 02:26:24 re: Solution Dej Mar 2008-09-23 23:17:10 re: Methods used? Leming 2008-09-23 18:32:47 Methods used? ed bottemiller 2008-09-23 18:19:25 Solution ed bottemiller 2008-09-23 18:06:51 re: Solution - alternative 15 and 28 Leming 2008-09-23 17:59:14 Solution Dej Mar 2008-09-23 13:35:47

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