Frexit ! by Patrick Junke
(Published on 20. June 2024, 09:43 by Kjupatrick)
FREXIT ! by Patrick JUNKE
Normal Sudoku rules do not apply.
Administrative rules of the EU grid :
Art. 1.1 : All columns contain each digit from 1 to 9.
Art. 1.2 : All rows contain each digit from 1 to 9.
Art. 2.1 : All NOT-PRIME digits form a labyrinth(1).
Art. 2.2 : All ODD digits form a labyrinth.
Art. 2.3 : All NOT-DIVISIBLE-BY-3 digits form a labyrinth.
Art. 3.1 : Corridors of the NOT-PRIME labyrinth are always one cell wide(2).
Art. 3.2 : Corridors of the ODD labyrinth are always one cell wide.
(1) i.e. : a single area of orthogonally connected cells.
(2) i.e. : there are no squares of 2 x 2 labyrinth cells.
The stolen map tatooed on the back of François :
"Arrows indicate all the dead ends of the three labyrinths. They point toward the exit of the dead end, you know, toward the only orthogonally cell to which it is connected.
An indicated dead end cell is a dead end in only one of the three labyrinths.
Blank arrows correspond to all the dead ends in the NOT-DIVISIBLE-BY-3 labyrinth.
The two cells marked with bold arrows are dead ends in the ODD labyrinth.
The cell with the encircled arrow is a dead end in the NOT-PRIME labyrinth."
THE ESCAPE
The NOT-DIVISIBLE-BY-3 labyrinth is not accessible for the people.This part concerns only the NOT-PRIME and the ODD labyrinths.
French citizens start in the cell with the flag. The exit is labelled with the dove.
Cells with the digit 9 are stairs, so that stepping on a 9 automatically transfers you from one labyrinth to the other. A 9 stair can be used only once.
The path taken by the French includes the departure cell. The sum of all the digits of the cells constituting the shortest escape path to the exit is 69. (Count a cell each time you step on it. A digit 9 labyrinth tranfer count as one step, not two.)
Here is a link to the puzzle.
The difficulty of the puzzle is to find a way to represent the three labyrinths on one grid. As I say below, I used Excel to create and solve the labyrinth and make four duplicates of it to do that.
In this SudokuPad, I duplicated the grid twice so you have the NOT-PRIME labyrinth to the left and you can use it for pencil marking, and the ODD and NOT-DIVISIBLE-BY-3 labyrinth to the right.
Here is a example of how you can represent the labyrinths :
Little help to better understand and begin the puzzle :
What we are dealing here is a grid of numbers that correpond to three different labyrinths, as if there were in three different layers, depending if we consider :
- Not prime digits (path) versus prime digits (wall)
- Odd digits (path) versus even digits (wall)
- Not divisible by 3 digits (path) versus divisible by 3 digits (wall)
So some digits can either constitue path cells or wall cells depending of the considered labyrinth/layer :
What I have personnaly done to test it, is to use Excel and duplicated three times the grid, keeping one more grid to keep trace of possible digits.
Here is the beginning position once you have considered the first clues of the description.
What you have to do then is to continue the shading of the three labyrinths :
- by deducing which remaining arrows (i.e. dead ends) belong to which labyrinth between the not-prime one and the odd one.
- by using the negative constrains :
1) you can't create unreferenced dead ends. Check the resolution of this puzzle to see how it works and how strong it is.
2) you can't have 2x2 path cells in the not-prime and the odd labyrinths (caution : remember that in the not-divisible by 3 labyrinth it is possible).
- by using Sudoku.
Use the escape clue at the end, after you finished the coloring of the labyrinths. It's purpose is to disambiguate the last digits.
Solution code: The 9 digits of the column 5, top to bottom.
Comments
on 27. August 2024, 22:47 by Kjupatrick
Activate
on 27. August 2024, 22:46 by Kjupatrick
Providing a new SudokuPad link.
The grid is now duplicated twice for notation comfort.
on 22. June 2024, 20:03 by Kjupatrick
Adding precisions
on 22. June 2024, 15:05 by Kjupatrick
SudokuPad link rather than Sudoku maker link.
on 22. June 2024, 15:01 by Kjupatrick
Better place for the link.
on 22. June 2024, 14:59 by Kjupatrick
Thanks to sanabas for having tested the puzzle, all his advices, and for having created the puzzle on Sudoku maker.
- Adding the link
- Adding the precision that a 9 stair have to be used only once
on 21. June 2024, 14:15 by Kjupatrick
Deleted my part of comment contening spoilers too.
YES ! You made it sanabas !
The first legitimate solve of the puzzle, that validate that's doable.
I would like to reproduce the puzzle on f-puzzles but how can I write the arrows ?
on 21. June 2024, 13:59 by sanabas
Deleted my half of previous convo due to spoilers. The important part is:
***NORMAL SUDOKU RULES DO NOT APPLY***
There are no boxes.
on 20. June 2024, 09:53 by Kjupatrick
Some people may recognize this puzzle because I already submitted it one month ago.
This puzzle is my baby. It took me a long time last year to program and generate this three layers of labyrinths, and I am quite proud of having succeded doing so.
It is the first puzzle I posted on logic-masters, and I didn't knew how the solution code worked at first. So there have been 3 not legitimate solves that have been counted before I fixed it.
People said in the comment that the description was too complicated.
That's why I submit it again, with a fresh solve score, and with a little help to how to approach the puzzle.
I really hope someone will give a try.
