Logic Masters Deutschland e.V.

Pentominous U-Bahn (Warm-up #2)

(Published on 15. November 2024, 09:15 by KNT)

Tessellate the entire grid besides the black cells into pentominos (orthogonally connected regions of exactly five cells) such that no two pentominos of the same shape share an edge. Rotations and reflections of a shape are counted as the same shape. A cell with a letter indicates the shape of the pentomino that contains that cell.

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. The loop network may enter the black cells freely.

Every pentomino must contain one turn, one straight, one branch, one cross, and one empty cell.

SudokuPad

penpa+

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

Last changed on on 16. November 2024, 09:29

Solved by Paletron, tuturitu, Piatato, ibag, RJBlarmo, ONeill, wooferzfg, Jakhob, Samish, zuzanina, TripleABattery, Christounet, jkuo7, itweb, Mr_tn, Mark Sweep, Jesper, MagnusJosefsson, Statistica, wullemuus, akamchinjir, Alex, misko, teff, jessica6, Niverio, Bellsita, MaizeGator, madhupt, OGRussHood, Nensche777, jmw, FzFeather, Nick Smirnov, Agent, Ben5790
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Comments

on 7. January 2025, 05:05 by Agent
Very nice and approachable puzzle!

on 1. December 2024, 19:58 by MaizeGator
Really fun ruleset. Each pentomino needing one of each shape was more intuitive to me than each pentomino being composed of only one shape (as in #1). However, the blackened cells in this puzzle kept tripping me up. I hadn't appreciated that a Ubahn clue could be satisfied by the shape of a blackened cell, and the dark color made it difficult to notate/keep track of.

on 28. November 2024, 02:04 by jessica6
hard and very good

on 18. November 2024, 11:03 by MagnusJosefsson
Very fun!

on 16. November 2024, 22:13 by Christounet
Tutorials :p

on 15. November 2024, 22:25 by Samish
great fun with some familiar logic!

on 15. November 2024, 19:21 by ONeill
Fun again, bring on #3!

on 15. November 2024, 16:31 by ibag
Really nice, too!

on 15. November 2024, 14:15 by Piatato
Even more fun than #2! Great way to lull us into a false sense of security :D

Difficulty:4
Rating:100 %
Solved:36 times
Observed:1 times
ID:000KJK

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Solution code:

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