Logic Masters Deutschland e.V.

Modular U-Bahn

(Published on 12. July 2025, 00:00 by cyddrdrd)

I encountered U-Bahn puzzles two months ago and was immediately attracted by this wonderful rule set thanks to the masterpieces created by Agent, Myxo, KNT, and wooferzfg. Inspired by them, I created my first ever puzzle, which is a combination of classic sudoku and U-Bahn. Hope you enjoy it!

Thank you Maddie and MonsieurTRISTE for testing it!

Rules

  1. Normal sudoku: Fill the grid with digits 1-9, so that no digit repeats in the same row, column, or 3×3 box.
  2. U-Bahn: Draw a totally connected loop network through the centers of some cells in the 9×9 area. The network may branch or turn, but may not have any dead ends. Clues outside the grid indicate how many times the corresponding line shape (cross, branch, straight line, or turn) appears in that row/column, regardless of rotation.
  3. Interaction: Assign line shapes to digits (irrespective of rotation) as follows:
    • Corner = 1
    • Straight line = 2
    • Branch = 3
    • Cross = 4
    For every cell that is part of the loop network, its digit and the digit for its line shape must match modulo 4. For example, if a cell’s line shape is straight, then either 2 or 6 can be filled into that cell.




Penpa+

SudokuPad










Solution code: For each column except the last, from left to right, the number of lines leading right from that column; followed by row 3. (17 digits in total)

Last changed on on 12. July 2025, 11:21

Solved by maddie, MonsieurTRISTE, Christounet, tnop62830, h5663454, Myxo, KNT, Paletron, Playmaker6174, Mr. Happy, Jesper, Agent, jkuo7, marcmees, tuturitu, Bellsita, itweb, andreatetta, gdc, Zzzyxas, ... Piatato, KirkFox, SeveNateNine, MaizeGator, Calesch, dragoond, brimmy, zeniko, zuzanina, SXH, lhy2407, Maximus, fathomless, Mr_tn, AnnaTh, NEWS, mercierus, sunevora, yttrio, paranoid, Voidslime
Full list

Comments

Last changed on 18. July 2025, 09:49

on 18. July 2025, 03:04 by yttrio
Incredible hybrid!

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rdrd: Thanks! Glad you like it.

Last changed on 13. July 2025, 22:25

on 13. July 2025, 20:36 by lhy2407
Very wonderful puzzle! Thanks!

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rdrd: I appreciate it!

Last changed on 13. July 2025, 14:35

on 13. July 2025, 13:11 by zuzanina
很好玩,谢谢!

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rdrd: 很荣幸~

Last changed on 13. July 2025, 09:27

on 13. July 2025, 03:41 by dragoond
Exceptional puzzle! Curious about the setting strategy for U-bahns. Two thoughts: Would a 6x6 snack be interesting possible? What about connecting to juggler's tessellation grid?

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rdrd: good idea! I might try those later. Thanks!

Last changed on 13. July 2025, 00:11

on 12. July 2025, 23:42 by MaizeGator
Awesome! I will admit that I was skeptical to see such an ambitious ruleset by a first-time poster, but I was thoroughly impressed by the variety of logic throughout and an extremely nice finish. Respect!

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rdrd: Thanks, I am really flattered :)

Last changed on 12. July 2025, 21:27

on 12. July 2025, 20:01 by Piatato
Lovely!

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rdrd: Thanks!

Last changed on 12. July 2025, 21:26

on 12. July 2025, 19:22 by AutoNick
Amazing, thanks for sharing!

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rdrd: Thank you!

Last changed on 12. July 2025, 21:21

on 12. July 2025, 19:16 by wooferzfg
Fun puzzle, thanks!

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rdrd: I appreciate it!

Last changed on 12. July 2025, 16:16

on 12. July 2025, 15:48 by Bellsita
Very fun puzzle! Thanks!

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rdrd: Glad you enjoyed!

Last changed on 12. July 2025, 15:39

on 12. July 2025, 14:35 by marcmees
Impressive first puzzle. Was fun to solve and luckily more approachable than the ones of setters who inspired this puzzle. :-)
Thanks

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rdrd: Thanks and glad you had fun!

Last changed on 12. July 2025, 14:14

on 12. July 2025, 14:04 by Agent
Cool idea and very smooth solve! I enjoyed it a lot.

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rdrd: Thank you! Glad to hear that!

on 12. July 2025, 12:55 by Playmaker6174
@SparkNights: The network doesn't have to pass through every cell in the grid, just only some of them.

on 12. July 2025, 12:51 by SparkNights
How does 4s and 8s in edge cells work?

on 12. July 2025, 11:21 by cyddrdrd
Sudoku tag added :)

Last changed on 12. July 2025, 11:30

on 12. July 2025, 11:15 by Playmaker6174
Wow, lots of beautiful interactions between two genres, super impressive achievement for the first puzzle! (you should add 'sudoku' tag into this as well)
At first it didn't seem like it'd actually resolve at the end, but then I was proven very wrong there x)

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rdrd: Thanks for your suggestion! Tag added :)

Last changed on 12. July 2025, 11:29

on 12. July 2025, 10:09 by KNT
impressive and enjoyable debut puzzle! Thanks a lot!

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rdrd: Thanks KNT! I appreciate it!

Last changed on 12. July 2025, 11:25

on 12. July 2025, 09:39 by Myxo
Awesome first puzzle! Looking forward to more :)

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rdrd: Glad you enjoyed it! Looking forward to more puzzles from you too x)

Last changed on 12. July 2025, 11:22

on 12. July 2025, 05:44 by h5663454
下次整个解构

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rdrd: 我努力

Last changed on 12. July 2025, 11:22

on 12. July 2025, 01:54 by Christounet
Cool :)

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rdrd: Thanks!

Last changed on 12. July 2025, 00:19

on 12. July 2025, 00:05 by maddie
Very nice! Looking forward to your next puzzle!

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rdrd: Thank you and glad you like it!

Difficulty:3
Rating:99 %
Solved:43 times
Observed:2 times
ID:000O6P

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