Logic Masters Deutschland e.V.

The Tortoise and the Hare

(Eingestellt am 6. August 2025, 14:54 Uhr von DylanRay)

Inspired by the RAT RUN Series

As a non-native speaker, the rules are translated to English with the assistance of AI tools. Please let me know if any ambiguity occurs.

Rules
  • Normal Sudoku: Place the digits 1-9 in each row, column, and 3x3 box.
  • Racing: The Hare and the Tortoise must separately find a path to reach the chequered flag. A path is an unbranched line that passes through the centers of cells orthogonally or diagnolly. Paths cannot cross each other or themselves. All the cells cannot be visited more than once, apart from the flag where the two paths end.
  • Path: A path simultaneously serves as a Dutch Whisper Line and a 3-Moduler Line. That is, any two digits adjacent on a line must differ by at least 4, AND, any three adjacent digits along a line have different residues modulo 3.
  • Coins: Both the Tortoise and the Hare must collect at least one coin before finally reaching the flag.
  • Hare: The Hare found somewhere to have a sleep before finishing the race. The path of the Hare must pass the cell with a ZZZ mark.
  • Kropki Pairs: Digits separated by a black dot are in a 1:2 ratio. ALL possible black dots that are NOT PASSED THROUGH BY EITHER PATH are given.

Below are a 6x6 example puzzle and its solution. For this smaller grid, the minimum adjacent-digit difference on paths is reduced from 4 to 2, while retaining all other rules.

CtC Link to the example puzzle

CtC Link to the main puzzle (Some systems or browsers may not display the emojis correctly and there is no way I can solve that. If it occurs, kindly check the reference image below.)

Lösungscode: Digits along the tortoise's path, from the tortoise to the flag.

Zuletzt geändert am 13. August 2025, 16:43 Uhr

Gelöst von CitrusGremlin, sehringdipity, Gilliatt, Franjo, blueberrypug, yellow, 72kchunshuai, NeroChaos
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Kommentare

Zuletzt geändert am 13. August 2025, 16:44 Uhr

am 13. August 2025, 16:43 Uhr von DylanRay
Rule clarified. Thanks @yellow

am 13. August 2025, 12:53 Uhr von yellow
very nice idea.
i wasn‘t sure if a path could cross itself or the other path. maybe would be helpful to clarify in the ruleset.
pleasant solve anyway!

am 8. August 2025, 13:16 Uhr von Franjo
Thank you very much for creating and sharing this interesting pathfinder puzzle. In the beginning of the solve I wondered how you can even start the race, but soon it became clear what to do. I enjoyed figuring out the path of the hare. (Now I know why the tortoise won…)

am 6. August 2025, 16:42 Uhr von DylanRay
Rule clarified.

Schwierigkeit:4
Bewertung:N/A
Gelöst:8 mal
Beobachtet:1 mal
ID:000OKA

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