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2-way maze (Posted on 2004-11-01) Difficulty: 3 of 5
An Invisible Maze is a square room with a tiled floor, in which the tiles form a grid. You may walk only to adjacent tiles (no diagonal moves). There is a number on the wall for each row and column of tiles. An Invisible Maze can have any numbers on the walls provided that it has at least one True Path. A True Path will take you from the northwest corner to the southeast corner, and the number of tiles you touch in each row and column is equal to the corresponding number on the wall.

There is an NxN tiled Invisible maze that has at least two different True Paths. Minimize N and then, using that N, minimize the sum of all the numbers on the wall.

Important: Two paths are considered the same even if they touch the exact same tiles in a different order.

See The Solution Submitted by Tristan    
Rating: 4.0000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Thoughts K Sengupta2023-06-30 07:57:12
Solutioncomputer verification of minimumCharlie2013-08-18 14:31:49
re(4): A TryRichard2004-11-03 21:54:51
Hints/TipsImportant clarificationTristan2004-11-02 01:38:55
A minimalization from SteveHowl2004-11-02 00:29:13
re(4): 4 X 4 Probably Minowl2004-11-01 23:23:49
re(3): 4 X 4 Probably MinJuggler2004-11-01 23:18:36
re(2): 4 X 4 Probably Minowl2004-11-01 23:15:47
Some Thoughtsre(2): 4 X 4 Probably Minowl2004-11-01 23:13:45
Questionre: 4 X 4 Probably MinJuggler2004-11-01 23:08:06
re(3): A TrySteveH2004-11-01 23:07:38
re: 4 X 4 Probably MinSteveH2004-11-01 22:56:34
re(2): A TryRichard2004-11-01 22:55:17
re: 5 X 5 Pathsowl2004-11-01 22:51:29
re: A Tryowl2004-11-01 22:49:02
Some Thoughts4 X 4 Probably Minowl2004-11-01 22:47:59
Some Thoughts5 X 5 PathsSteveH2004-11-01 22:44:41
A TryRichard2004-11-01 22:41:59
QuestionClarification questionsnikki2004-11-01 18:12:51
7x7 non-minimizedJer2004-11-01 17:55:53
QuestionIs this how it works?Dustin2004-11-01 16:48:30
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