A Healthy Center
(Eingestellt am 30. Oktober 2023, 12:47 Uhr von Yann)
I thank once again Kafkapharnaum and wullemuus for their testing and their support, and I hope you enjoy this puzzle !
Divide the grid into regions, each consisting of six orthogonally connected cells. Each row, column and region must contain the digits 1 to 6 once each.
In each row, column and region there is a doubler, that acts as twice the value of the digit it contains. Each digit is doubled exactly once.
The digit in the top-left cell of a region (its leftmost cell in its highest row) is its region number. All region numbers are different, and go from 1 to 6. A region number can be a doubler, but has to be a 123 doubler (if not it's bigger than 6).
If a cell with the digit X in a region with the number N contains an arrow, then the cell X steps away in the indicated direction belongs to the region numbered N+1. Cells that contain arrows can be doublers, and therefore count as twice their digit.
Here's a CTC link to play it : https://tinyurl.com/ycxv397j
It should be around 3 stars with some pretty tricky steps though, so I'll put it at 3. The testers had a bit of trouble wrapping their head around the rules, so I highly suggest you try Jesper's amazing Numbered Regions Chaos Construction #1 (ID:00BD7), as it was also the source of inspiration for this puzzle.
Have fun solving, ratings and comments are appreciated, feel free to write a hidden comment if you're stuck!
If you want a German translation of the rules wullemuus kindly wrote one in the comments.
Lösungscode: Row 1 (left to right), followed by row 6 with a * for region borders
Kommentare
am 12. März 2024, 23:52 Uhr von The Book Wyrm
This is a pretty crazy puzzle. Very impressive that you can set something unique like this with so few clues, and that it is actually solvable.
The solve path starts off pretty interesting, then gets rather tricky trying to prove the shape of the final regions. Lots of interesting deductions there, very nice.
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Thanks for the solve and the wonderful comment, I'm also still amazed this is unique, but the puzzle kind of set itself !
am 2. November 2023, 16:55 Uhr von Yann
Updated rule wording, if a doubler is on a clue (or a region number), it counts as twice its value.
am 2. November 2023, 13:04 Uhr von DVFrank
Very nice! :^)
For the rules, I would recommend being clearer on the distinction between the values of cells and the digits within them. After looking through the comments, it became clear that both clues regarding region numbers and arrows only care about the cell's values, not its digit, but this is not apparent from the rules as written. :)
Nonetheless this made for a very satisfying solve, thanks for the puzzle!
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Thanks for the solve and the comment, I'll update it !
am 31. Oktober 2023, 18:27 Uhr von Snookerfan
Beautiful minimalistic puzzle! Those doublers performed miracles. Thank you
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Thanks for the solve and you're welcome !
am 31. Oktober 2023, 15:18 Uhr von Jesper
Very nice, enjoyed it, thanks!
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Thanks for solving, and for this feedback, even more positive considering your puzzle was this one's source of inspiration !
am 31. Oktober 2023, 15:13 Uhr von wullemuus
Here's the German translation:
Das Raster ist in Gebiete zu unterteilen, wobei jedes Gebiet aus sechs orthogonal zusammenhängenden Felder bestehen muss. In jeder Zeile, in jeder Spalte und in jedem Gebiet kommt jede Ziffer von 1 bis 6 jeweils genau einmal vor.
Daneben kommt in jeder Zeile, in jeder Spalte und in jedem Gebiet ein "Doppler" vor. Dieser entspricht dem zweifachen Wert dieser Ziffer. Jede Ziffer wird genau einmal zum "Doppler".
Die Ziffer in dem Feld, das in der obersten Zeile eines Gebiets und dort am weitesten links liegt, entspricht dessen Gebietsnummer. Alle Gebietsnummern sind unterschiedlich (1-6). Eine Gebietsnummer kann einen Doppler enthalten.
Ein Pfeil in einem Gebiet N zeigt auf ein Feld im Gebiet N+1. Die "Entfernung" entspricht der Ziffer X in dem Feld mit dem Hinweispfeil. Das Feld im Gebiet N+1 liegt X Schritte in Pfeilrichtung entfernt. Doppler können sich auch auf Pfeilfeldern befinden.
Hier ist ein CTC link zum Lösen: https://tinyurl.com/ycxv397j
Die Schwierigkeit sollte bei ca. 3 Sternen liegen, enthält dennoch auch einige knifflige Lösungsschritte. Die Tester hatten ein wenig Mühe mit der Anwendung der Regeln (insbesondere der Zuordnung der Gebietsnummern). Daher empfehle ich Euch, folgendes aussergewöhnliches Puzzle von Jesper auszuprobieren oder die Anleitung anzuschauen (eigene Anmerkung @wullemuus). Es hat mich auch zu diesem Puzzle inspiriert:
Numbered Regions Chaos Construction #1 (ID:00BD7)
Geniesst das Rätsel lösen- Kommentare und Einschätzungen zur Schwierigkeit sind herzlich willkommen. Falls Ihr nicht weiterkommt, schreibt mir gern einen versteckten Kommentar.
With this prework it was quite easy to solve Jesper's puzzle (which I liked also very much). Thanks for the recommendation!
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Thanks for the translation !
am 31. Oktober 2023, 10:17 Uhr von Lizzy01
Very nice!
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Thank you once again for your solve !
am 31. Oktober 2023, 02:30 Uhr von jinkela114514
If a cell with arrows is a doubler, is the digit in the cell counted as double of its value?
What if a region number cell is a doubler?
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If an arrowed cell is doubled, it counts as twice its digit, if a region number is doubled, it has to stay in the 1-6 range (ex : no doubled 5 as a region number). Good luck !
am 30. Oktober 2023, 21:52 Uhr von bansalsaab
Very nice construction.
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Thanks !
am 30. Oktober 2023, 20:17 Uhr von Lavender Gooms
Amazing! The way it solves after the breakin is just magical. That little information and it mandates one solution path, loved it.
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Thanks for these kind words, it seems that minimalism is really enjoyed here !
am 30. Oktober 2023, 17:47 Uhr von wullemuus
Congrats to another real precious puzzle! For me too it was amazing that these few clues were suffcient to solve the whole one, And thanks for sharing your concept with me-it's even more enjoyable and motivating beyond try and error! I will try to translate this as soon as possible if you like to!
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Thanks for the testing and this comment, it makes me happy to hear that you enjoyed that logical process (maybe ther's an even cleaner way to solve it !), and the translation would be super appreciated ! Also, congrats on solving 8x8=9x9 !
am 30. Oktober 2023, 15:11 Uhr von Kafkapharnaum
I'm still kind of in disbelief that these 5 little arrows (and in just 4 cells) in the center of the grid are enough to delineate 6 full blown regions and their doublers -- speaks to the power of these small grids and why they're worth exploring just as much as the larger ones (and it certainly wasn't the easiest solve either)
But yeah, to have had this idea at all is just mindblowing to me, hats off pulling this crazy feat -- you're quickly establishing yourself as a master!
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Thank you so much for this heart-warming feedback, I just got really lucky, and I really like the small grids, because you normally end up squeezing a lot of logic out of few clues (the interactions are easier to see), but also because it's easier to have a unique grid. They also usually showcase only one main idea !
The doublers seem to make it harder, but it actually smoothens the ending a lot, they delimit everything !
