Logic Masters Deutschland e.V.

Chaos Construction: Numbered Rooms / Skyscraper / Sandwich Length

(Published on 4. May 2022, 07:54 by KNT)

Place the numbers from 1 to 9 exactly once in every row, column, and region. One number is already given. Each region is orthogonally connected and must be located by the solver.

A clue outside the grid can mean one of three things, as written below.

1. A clue outside the grid indicates the number which has to be placed in the Nth cell in the corresponding direction, where N is the number placed closest to the clue. Both the indexing number and the indexed number are in the same region.

2. Treat each number N as a building of height N. A clue outside the grid indicates the number of buildings seen from from that direction, where taller buildings hide shorter buildings. Each seen building is in a different region.

3. A clue outside the grid indicates the number of cells between the 1 and the 9 in that row or column. The numbers between the 1 and the 9 in that row or column are all in the same region, and that region does not include either the 1 or the 9 in the respective row or column.

SudokuPad

penpa+

Solution code: Type the digits (no spaces) of the region containing R8C4 as follows: Row 1's digit in the region (left to right), Row 2's digits in the region (left to right), etc. 9 digits total.

Last changed on on 8. September 2024, 07:51

Solved by kolot, jkuo7, Siebuhh, polar, Lizzy01, Franjo, wumingguren, marcmees, Vebby, Jesper, Elliptical, cmb, twobear, MagnusJosefsson, Niverio, purpl, ns08, ma3n, Agent, Christounet, PixelPlucker, ... akamchinjir, pandiani42, StephenR, Tom-dz, h5663454, jinkela114514, ibag, Feadoor, Saskia, misko, Nick Smirnov, Amrelicko, The Book Wyrm, Myxo, Las4one, tallcat, steeto, JDP678, SeveNateNine
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Comments

on 1. April 2024, 04:30 by tallcat
Tackling this almost two years after publishing - as part of a tour of older CC puzzles. Immensely enjoyable!

on 11. February 2024, 13:51 by The Book Wyrm
Very fun and interesting puzzle.
Complex ruleset, which required thinking about all the different clue types.
Impressive that you can set a puzzle like this at all, especially with only 1 given.

Not too hard either, once you get started.

on 29. April 2023, 13:35 by StephenR
Another beauty, thanks. KNT's puzzles tend to fry my brain, though they're worth frying one's brains for. I thought I'd broken this at least 3 times when I hadn't.

on 19. August 2022, 12:27 by Piatato
Loads of fun! Thanks!

on 22. May 2022, 17:32 by Christounet
Another piece of art with a ruleset that might seem too intricate at first, but once you get used to check-eliminate the wrong options, it makes for a great ride of deductions ! Many thanks again !

on 13. May 2022, 22:55 by Agent
Great puzzle! Lots of beautiful deductions throughout.

on 11. May 2022, 01:32 by Elliptical
Excellent Puzzle. Beautiful Logic. Some steps were really hard, but still fair in my opinion.

on 6. May 2022, 17:40 by Niverio
Very nice inspiration after Thonk, definitely both puzzles are fantastic!

on 6. May 2022, 15:12 by MagnusJosefsson
Fantastic! Fun puzzle with consistent difficulty and a nice mix of different logic.

on 6. May 2022, 10:38 by twobear
Great construction. Thank you!

on 6. May 2022, 05:01 by cmb
Beautiful all the way.

on 5. May 2022, 19:15 by Elliptical
Excellent Puzzle. Beautiful Logic. Some steps were really hard, but still fair in my opinion.

on 5. May 2022, 18:17 by Jesper
Wonderful, thanks!

Last changed on 5. May 2022, 10:36

on 5. May 2022, 00:11 by marcmees
fantastic puzzle. thanks

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Thanks, Marc. Means a lot coming from you because from what I can tell you're a much harsher critic than most :-)

I am not sure if that's true but I certainly get less attracted by puzzles with the same variations on the same themes. Your puzzles (as well as those of some other of my favorite setters) do enter a class apart. I'll keep an eye on your posts.

Last changed on 5. May 2022, 07:12

on 4. May 2022, 16:16 by Siebuhh
Nice puzzle! Unfortunately it was unclear to me how to read the rules: I thought "one clue type from (rooms, skyscrapers, sandwich), and then given a clue the corresponding region constraint holds". After a contradiction I realised that the region contraints were included in the "one of the three holds"

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Thank you, Siebuhh! I'm sorry the rules seemed confusing to you, but even after rereading them, I think the precision of wording conveys what I intended.

Last changed on 5. May 2022, 07:11

on 4. May 2022, 13:44 by kolot
Very nice puzzle! There are some beautiful deductions in the solution path.

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Thank you, kolot! I had a lot of fun figuring out different things with this ruleset. I honestly think I could make 10+ more puzzles with it, each that use different ideas.

Last changed on 4. May 2022, 07:55

on 4. May 2022, 07:49 by KNT
I got the idea for this puzzle about 2 weeks ago when I saw "Thonk" by purpl posted in the CTC server. I thought the ruleset was interesting, and got the idea to turn it into a chaos construction (I have not actually solved "Thonk", I just saw the ruleset and got inspired. Sorry, purpl).

I immediately found it almost impossible to force any sort of break-in without loads of givens, and about a week ago I made a puzzle with this ruleset with 7 givens. I was determined to get it down to 4 givens, and after a few more days I reached that goal. After talking to a few people about the ruleset, I got new insight that eventually birthed the 1-given holy grail of a puzzle you see here.

While you might not find this the most difficult, or the most fun of all my puzzles, I am very proud of this one because from a setting point of view this was extremely hard for me to execute.

Anyway, if anyone solves this and is interested, I have 2 other puzzles (one with 6 givens, one with 3 givens) that use a similar break-in idea, but have wildly different back-two-thirds of the solve. I am happy to send them if you send me a message- I am in the CTC discord server. Albeit while I don't think either is worth posting here when this puzzle exists, they do have some interesting ideas I was unable to explore with this one.

Difficulty:5
Rating:97 %
Solved:53 times
Observed:14 times
ID:0009TE

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Solution code:

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