Logic Masters Deutschland e.V.

The Queen of Hearts' Labyrinth

(Published yesterday, 10:20 by Kjupatrick)

The Queen of Hearts' Labyrinth by Patrick Junke

Rules:

Sudoku
Normal Sudoku rules apply: place the digits from 1 to 9 exactly once in each row, column, and 3×3 region.

Labyrinth
The grid hides a labyrinth: a continuous area of orthogonally connected cells.
No 2×2 block of cells is entirely made of labyrinth cells (also called path cells).
All other cells are walls.
The four symbols ♠, ♥, ♣, and ♦ indicate all the dead ends of the labyrinth. Each symbol replaces a corresponding (to be determined) arrow symbol (up, down, left, or right) indicating the exit of the dead end (i.e. the direction of the single adjacent path cell).
Remember: all dead ends are given.

Walls
Walls form independent groups of exactly four orthogonally connected cells.
Almost all wall groups consist of two pairs of digits, each pair summing to ten.
There is only one exception: one group of wall cells is made of four digits whose sum is not 20.
The two dotted cells are wall cells and belong to this exceptional group.

Xs
A X between two digits indicate they sum to 10. All Xs are given.

Walks
Alice starts in the labyrinth cell at the center of the grid (marked with the letter “A”).
Numbers outside the grid indicate the sum of the digits encountered when Alice walks from her starting position to the symbol next to the number, moving orthogonally through the labyrinth.
The starting cell is included in the sum.

App link :

Here is a link to a SudokuPad version of the grid.

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Solution code: The digits of the first row from left to right.


Solved by sehringdipity, Fizz, nivde0, firespire, gdc, nonofish, kublai, UprootedGrunt, Chanome, SKORP17, IrishDevil, ArtsiBurger, MaxSmartable, bansalsaab, rainingfish, Alce, itweb, efnenu, Counterfeitly
Full list

Comments

Last changed today, 17:01

today, 08:52 by Kjupatrick
Thanks to all the solvers that have allowed this puzzle to have a rating.
(It’s not always the case, my last one didn’t achieve this step, so thank you.)
By the way it’s the first time I have underestimated the difficulty. Usually on this site, experimented solvers find my puzzles easier than I thought. Just a comment.

Last changed yesterday, 20:42

yesterday, 19:01 by Chanome
i really enjoyed constructing the labyrinth and the sum of numbers seemed useless until it didnt. what a fun suprise!

Patrick> Thank you!

Last changed yesterday, 14:14

yesterday, 13:37 by Fizz
That was so cool, thanks a lot!

Patrick> Great! Thank you.

Difficulty:4
Rating:92 %
Solved:19 times
Observed:0 times
ID:000R2W

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