Logic Masters Deutschland e.V.

P-Bahn (Pentominous U-Bahn)

(Published on 25. July 2025, 09:00 by Agent)

This puzzle was created in a setting contest where I tried to impersonate the_cogito.

Rules

  • U-Bahn: Draw a totally connected loop network through the centers of some cells, which may branch or turn, but may not have any dead ends. A clue outside the grid indicates how many times the corresponding line shape (i.e. a cross, branch, straight line, or turn) appears in the corresponding row or column, irrespective of the line shape's rotation.

  • Pentominous: Divide the grid into non-overlapping pentominoes such that every cell is part of a pentomino. Orthogonally adjacent pentominoes may not be the same shape, regardless of rotation or reflection. A cell with a letter indicates that it belongs to the pentomino of the corresponding shape.

  • Interactions:
    • The line segments emerging from a cell may cross at most 2 pentomino borders.
    • The loop network must cross the borders of every pentomino exactly 3 times.

Example Puzzle (5x4)

Main Puzzle (10x10)

Solution code: For each row except the last, from top to bottom, the number of lines leading down from that row.

Last changed on on 25. July 2025, 18:57

Solved by Piatato, Jesper, the_cogito, cyddrdrd, steeto, Tom-dz, h5663454, widjo, Paletron, ns08, MagnusJosefsson, ibag, Christounet, sfushidahardy, lupo, Mr_tn, ddx02, CutieRainbow, MaizeGator, Oripy, anzu, polar
Full list

Comments

on 14. October 2025, 03:35 by MaizeGator
Ooops! Agent did it again

on 10. August 2025, 19:33 by lupo
Toll!

on 8. August 2025, 19:24 by sfushidahardy
Beautiful, theoretical puzzle! Super smooth once I figured out how to think about it.

on 8. August 2025, 07:10 by Christounet
Exceptional puzzle! Everything here, the symmetric design, the inner logic of the ruleset, the placement of the clues, the satisfying resolution, is just perfection. Another masterpiece in your catalogue. A must solve. Thanks :)

Last changed on 6. August 2025, 18:02

on 6. August 2025, 13:43 by ibag
Wow!!!!!! One of the greatest puzzles I ever solved!!!

on 5. August 2025, 10:39 by MagnusJosefsson
Wonderful puzzle, very fun and original combination!

on 26. July 2025, 00:00 by cyddrdrd
This version is really smooth and I enjoyed a lot!

on 25. July 2025, 16:00 by the_cogito
Loved this, awesome puzzle!

on 25. July 2025, 12:19 by Jesper
Fantastic puzzle, thanks!

on 25. July 2025, 10:04 by Piatato
Awesome puzzle!

Difficulty:5
Rating:88 %
Solved:22 times
Observed:2 times
ID:000OD7

Puzzle combination Puzzle variant Path puzzle Dissection puzzle Pentominoes

Enter solution

Solution code:

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