'Hour Maze' 

Path Strategy

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Non-Continuous Solution Illustrated


© 2007 Mike Reilly & Jenks Norwalk.  All Rights Reserved.

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Samples to Solve

Path Strategy is similar to the notation used in Sudoku. For example, instead of filling in all the numbers at once, put a ‘1’ in a box, count boxes and then place a ‘12’ in the intended box. Conversely, if you started with a ‘3’ and went ‘4, 5, 6, etc.’, then the twelfth box would get a ‘2’ in it. 

See Path Strategy Illustration ‘A’ below:

 This helps a player to ‘jump ahead’ in planning their layout. Drawing a pencil line allows you to see the patterns forming without having to place all the numbers in all the boxes at first. This facilitates erasing and rearranging your path strategy.

 This also allows players to place ‘two potential outcome numbers’ in the twelfth box. For instance, starting with the number ‘3,’ if you count “4, 5, 6, etc.” then the twelfth box would get a ‘2’ penciled-in it. If you count from the ‘3’ in the other direction, going “2, 1, 12, 11, etc.,” then the twelfth box would get a ‘4’ penciled-in it. Therefore, the notation for that box would have ‘2’ & ‘4’ penciled-in as ‘potential outcomes’ for that path. 

See Path Strategy Illustration ‘B’ below:

 

Non-Continuous Solution Illustrated:

 

Although the solutions require complete ‘sets’ of the numbers 1 through 12, those numbers do not have to ‘run’ continuously through a maze. For an example of this type of ‘non-continuous’ solution, see illustration below.

Note that the numbers in the grey shaded area are not connected continuously from 1 through to 12. But this solution still fulfills the requirement for 4 complete ‘sets’ of 1 through 12 since the grid is 6x8 which requires 4 sets.