Logic Masters Deutschland e.V.

Dichromium (Pentomino Ambiguity)

(Eingestellt am 11. Juni 2022, 17:22 Uhr von KNT)

This is a puzzle I am a bit hesitant to post here because some of the steps involving digit placement in the mid-solve ended up a little trickier than I intended, but I have been told by testers that many of the steps are unique and interesting, so maybe some of you here will enjoy solving this. Due to this, at two of the more unintuitive "sticking" points in the puzzle, I left hints at the bottom of this page encoded in ROT13 if you get stuck.

I have been fascinated by pentomino placement puzzles for a while now, and I recently solved this great puzzle: Hidden Pentominos Killer/Little Killer Sudoku by Magnus Josefsson, which gave me the push to make a pentomino-sudoku hybrid.

Rules:

1: Normal Sudoku rules apply.

2: Place exactly one of each of the 12 pentominos in the grid. Pentominos cannot overlap, but may touch freely. A clued cell indicates which pentomino must lie on that cell. A pentomino may contain at most one clued cell, but may contain zero clued cells.

(This means that, for example, in the main puzzle, that one of the cells of the "N" pentomino must be R5C2, and the N pentomino may NOT take R4C3 or R4C1. It cannot take R4C3 because that cell is part of the "X" pentomino, and it cannot take R4C1 because that cell is part of some other distinct, unknown pentomino.)

3: Clues outside the grid give the sum of NON-pentomino cells in the respective row or column.

4: Each pentomino must satisfy at least one of these two constraints:

Whisper: Adjacent cells within the pentomino differ by at least 5.

Region Sum: The sum of the digits in the pentomino is the same in each 3x3 box of the sudoku that the pentomino is in. If a pentomino is wholly contained within a single box, this constraint is not valid.

5: Digits may freely repeat within a pentomino.

CTC app link

Penpa+ link

Pentomino types: (may be freely rotated and/or reflected)

(Image is from Magnus Josefsson's puzzle)

Hint #1: Vs ebj rvtug pbyhza frira vf bs ybj cbynevgl ba gur juvfcre, jurer qb rvtug naq avar tb va obk avar?

Hint #2: Vs ebj gjb pbyhza sbhe vf n avar, gura jurer qbrf fvk tb va obk gjb?

Lösungscode: Row 9 followed by Column 4

Zuletzt geändert am 11. Juni 2022, 23:13 Uhr

Gelöst von lerroyy, Vebby, ancarro, Jesper, OutOfMyMindBRB, Niverio, mathpesto, LittleBallOfPurr, RJBlarmo, blazedy, henrypijames, tinounou, MagnusJosefsson, cdwg2000, Mody, Koalagator2, harrison, Piatato, polar, peacherwu2, Xendari, Gnosis66, ascension, WickSaban, 85392, PixelPlucker, ONeill, Munsie, jkuo7, pandiani42, Feadoor, Agent, misko, Lyun Licuss, Tom-dz, pkp, h5663454, Nick Smirnov, Myxo, nervyplant
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Kommentare

am 24. Februar 2024, 12:24 Uhr von Myxo
Amazing!

am 22. Februar 2023, 21:18 Uhr von ONeill
Genius puzzle!

am 23. November 2022, 04:57 Uhr von WickSaban
One of my favorite puzzles ever. Great work!

am 28. Oktober 2022, 10:07 Uhr von peacherwu2
Brilliant setup!

am 13. September 2022, 23:58 Uhr von Piatato
You may have cured my pentominophobia with this puzzle, haha! I started out being quite terrified, but ended up triumphant. :-D Incredible puzzle, btw.

Zuletzt geändert am 1. Juli 2022, 18:25 Uhr

am 1. Juli 2022, 10:26 Uhr von MagnusJosefsson
Wonderful puzzle, I somehow missed this one before! Very challenging and satisfying solution path that gradually gets easier towards the end. Thank you KNT and thanks for the mention of my puzzle as well! :)

-----

Most of my puzzles are directly inspired by things I solve in weeks or days prior, I tend to just see something I love and try to put a spin on it.. but a lot of the times they end up harder than I intend haha. This puzzle in particular ended up totally not how I expected (I had to pretty aggressively use a computer solver to find a valid end arrangement of the pentominos) but I'm glad you and others really like it. The positive feedback I tend to get really makes my day :)

am 17. Juni 2022, 17:53 Uhr von henrypijames
Incredible rich and delicate interplay between the clues - love how this puzzle, despite of having a narrow, linear solving path, requires one to go back and forth between different clues over and over again in order to make progress.

am 13. Juni 2022, 09:45 Uhr von RJBlarmo
Lots of fun, enjoyed how well the ending worked out!

am 13. Juni 2022, 02:41 Uhr von LittleBallOfPurr
Exceptionally good puzzle that refused to surrender until the very end. Bravo, KNT, bravo!

am 12. Juni 2022, 22:49 Uhr von mathpesto
Amazing puzzle, very original and contains lots of beautiful logic!

am 12. Juni 2022, 18:58 Uhr von Niverio
Very nice and unique puzzle! Extremely enjoyable!

am 12. Juni 2022, 11:34 Uhr von Jesper
Great puzzle, thanks!

am 12. Juni 2022, 08:30 Uhr von Vebby
Phenomenally good! I concur with the testers that the logic was fresh and interesting throughout. No step felt unfair to me, including the mid-solve. This is probably my favourite puzzle of yours, which is a very high bar. Thanks KNT! :D

am 11. Juni 2022, 23:13 Uhr von KNT
Edited title, tags, CTC link

am 11. Juni 2022, 22:21 Uhr von lerroyy
Very nice puzzle! Harder in the middle and then very smooth solve. Thanks KNT!

Schwierigkeit:5
Bewertung:99 %
Gelöst:40 mal
Beobachtet:4 mal
ID:000A76

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