Logic Masters Deutschland e.V.

Swiss Cheese

(Published on 20. July 2024, 06:51 by FullDeck-Missing)

Normal sudoku rules: Every row, column, and box must contain a complete set of the digits 1-9.

Fog: Part of the grid is covered with fog. As correct digits are placed, the fog will clear from surrounding cells.

Arrows: Digits along an arrow must sum to the number indicated in the circle from which the arrow emerges. Digits may repeat along arrows if allowed by other rules. All arrows in this puzzle have three digits along the shaft. The angle between segments of an arrow shaft is never 90 degrees or less. Arrows do not intersect along shafts.

Kropki pairs: Digits in cells separated by a black dot are in a 2:1 ratio. Digits in cells separated by a white dot are consecutive. Not all dots are necessarily given.

A note about difficulty: On our website, Missing Deck Puzzles, we categorize our puzzles as

  • Brassica
  • GAS
  • Mild Indigestion
  • Indigestion
  • Strong Indigestion
  • Heartburn
We generally only post on LMD our Indigestion or Heartburn puzzles, with Indigestion usually corresponding roughly to 1-2 stars on LMD and Heartburn anywhere from 2-4 stars on LMD. We don't typically share here our GAS or Brassica puzzles but please go explore our archive if you'd like to see some of those! GAS corresponds to the original daily GAS puzzles, where "hats" were awarded for times on the order of 5-10 minutes. Brassica puzzles are intended to be much easier, suitable for beginning solvers.

We categorized this puzzle as Heartburn.

Try the puzzle on the SudokuPad app by Sven Neumann.

You can find a complete list of our puzzles on LMD here. Please also visit us at Missing Deck Puzzles, where we post a new puzzle each day.

Solution code: Column 8, top to bottom, 9 digits no spaces

Last changed on on 21. July 2024, 21:08

Solved by antiknight, rameshsrivats, jalebc, m_busuttil, tgstar, by81996672, seeppp, maniacaljackal, fuxia, GeorgeTheToad2, LehanLehan, lmdemasi, dianogah, Prince Joffrey, butch02, sujoyku, Franjo, zrbakhtiar, ... PrinnyDidi, Jodelbanane, wacfwaef, Peteronium, indolentfool, Visumation, Inge, El1247, radium, MrJackQiao, TaeChi, naggy, Sonarym, Saskia11, Krisonium, soumyagupta0127, Fasdr, Vegan_warior
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Comments

on 6. August 2024, 14:48 by Inge
Very nice, thanks a lot

on 23. July 2024, 20:09 by fortunia27
Arrow rule confused me a bit at first, but once I got used to it I really enjoyed the puzzle!

on 22. July 2024, 11:45 by VitP
here's how i would do it, and why.
1) An "arrow" is a common object, both as a physical thing, and as an abstract concept. One of the fundamental properties of an arrow is straightness. so we can define a tangent line at any point along the arrow, and the "bending" of the arrow is the DEVIATION from straightness. it should normally be some small value. that must be the default position.
2) this allows the simple statement "no arrow here bends by 90 degrees or MORE".

on 21. July 2024, 21:08 by FullDeck-Missing
clarification of the angle constraint on the arrow shafts

Last changed on 21. July 2024, 21:06

on 21. July 2024, 19:28 by VitP
i don't understand the arrow "bending" rule. clearly, the observed bends violate the rule as stated.
typo?

>> We intend that as the angle between legs of the arrow. If you trace the arc between the legs of the arrows shown, that angle is 135 degrees. There are no right turns in the angle shafts, nor do they turn "back on themselves". Thank you for asking; we'll add a clarification, although not sure quite what form that will take!

on 20. July 2024, 19:28 by PuzzlePatzer
The angle restriction is a nice addition. Thanks for sharing!

on 20. July 2024, 11:38 by GeorgeTheToad2
Hard start but then it got easier until the end when it got hard again. Nice construction. Thank you.

Difficulty:3
Rating:88 %
Solved:89 times
Observed:3 times
ID:000IZ9

Variant combination Online solving tool

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Solution code:

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