Logic Masters Deutschland e.V.

Gokigen Nurimaze

(Eingestellt am 19. April 2025, 01:30 Uhr von yttrio)

This puzzle is my third round entry for the pencil puzzle hybrid competition held on the Skunkworks Discord server. Estimated difficulty is between 3 and 4 stars.

Rules:
Gokigen (slant): Place a diagonal line into each cell, connecting two opposite corners, such that no loops are formed by the diagonal lines. A number clue in a circle indicates how many lines are extending from that circle.

Nurimaze: Shade some cells such that all unshaded cells form one orthogonally connected area with no loops. No 2x2 area may be entirely shaded or unshaded. Cells with clues in their center must be unshaded. There is a unique shortest path of unshaded cells from the S (start) to the G (goal) (i.e., the only possible path which does not visit any cell twice). Cells with a circle clue are on this path, while cells with a triangle clue are not.

The Gokigen diagonal lines in shaded cells are all in the same direction (sloping down vs up), and the Gokigen diagonal lines in unshaded cells are all in the opposite direction of the shaded cell diagonals. It is up to the solver to determine which shading coincides with which diagonal slope direction.




Penpa+

Lösungscode: For each row (top to bottom), the length of the longest continuous segment of unshaded cells


Gelöst von The Book Wyrm, Calesch, Jesper, Agent, utsavb, KNT, Franjo, Mr_tn, Christounet, sorryimLate, fkib, puzzler05, aqjhs, jessica6, TheZwierz, dumediat, bernhard, widjo, ns08, h5663454, jkuo7, little_arturo
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Kommentare

am 22. April 2025, 00:32 Uhr von jessica6
For clarification: The shortest path rule means "there exists a shortest path, and this path must contain all circles and no triangles", right? Or can there exist shorter paths but those would contain a triangle or not all circles?

Zuletzt geändert am 19. April 2025, 13:50 Uhr

am 19. April 2025, 13:40 Uhr von Franjo
Fantastic hybrid, surprising how nice the two Nikolis work together! Thank you very much for creating and sharing this wonderful puzzle. (3.5 stars for me)
@sorryimLate: you can find the rules - including examples - of both puzzle-types (nurimaze and slant) at puzz.link/list.html

Zuletzt geändert am 20. April 2025, 01:05 Uhr

am 19. April 2025, 11:34 Uhr von sorryimLate
There are two things in the rules I'm not sure I understand. What does "area with no loops" mean? And how does the shortest path rule work? Can the path have just 3 cells or does it have to visit all unshaded cells? An example might help?

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As Franjo mentioned, you can find more detailed rules (with example) at puzz.link
Slant rules: https://puzz.link/rules.html?gokigen
Nurimaze rules: https://puzz.link/rules.html?nurimaze
~yttrio

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Thanks for the links Franjo and yttrio! I was a little confused in the beginning but after getting my head around these rulesets it was quite smooth. Very clever and interesting logic and a few challenging steps. Thanks for setting and introducing these fun puzzle types!

Schwierigkeit:3
Bewertung:97 %
Gelöst:22 mal
Beobachtet:2 mal
ID:000MZ3

Rätselkombination Färberätsel

Lösung abgeben

Lösungscode:

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