Logic Masters Deutschland e.V.

↫ Summing Loop ↬

(Published on 7. October 2023, 10:00 by ElChiglia)



---- RULES ----

Normal Sudoku rules apply: Fill the grid with digits 1 to 9 appearing once each in every row, column, and 3x3 box.

Shading: Shade some cells in the grid such that in each row, column, and 3x3 box exactly 2 cells are shaded. Shaded cells cannot touch each other, not even diagonally.

Summing Loop: Draw a 1-cell-wide loop (orthogonally connected cells) through the unshaded cells, such that each 3x3 box is visited at least once. The loop cannot touch itself orthogonally but may touch diagonally. The loop acts as a region sum line. Numbers on a region sum line have the same sum in each 3x3 box the line passes through. If a line passes through a 3x3 box multiple times, each individual segment sums separately.

Outside clues: The clues given outside of the grid fulfill the following 3 roles:
  • they indicate how many unshaded cells are in between the two shaded cells of that respective column or row.
  • they give the total number of loop cells in that respective column or row.
  • they act as Skyscraper clues. Numbers in the grid represent the heights of skyscrapers, and clues on the outside of the grid indicate the number of skyscrapers visible in that row or column, looking in that direction. Larger skyscrapers obscure smaller skyscrapers from vision.
Killer cages: Digits in a dotted cage sum to the small number given in the top left corner of the cage.

Kropki dots: Cells connected by a white dot contain consecutive digits.

---- LINKS ----

Solve this puzzle in the CtC app

Solve this puzzle on f-puzzles.com


This is the second sudoku in my series of “Build-your-own-loop Sudokus". If you liked solving this puzzle or if you prefer other combinations of loop logic and constraints, feel free to give the other sudokus of the series a go too:

Loop Logic Loop Constraint Further Constraints
Road Running
Loop
Road Runner Parity Line Kropki Dots
Magically
Modifying Loop
- Incrementers,
Decrementers,
Nullifiers
Magic Squares,
Killer cages,
Kropki Dots
Skiing Loop Gates German Whispers Kropki Dot,
Between Lines
Behaving Loop 3x3 boxes Polarity Line Kropki Dots
Magical Loop Guiding cells Modular Line Magic Squares
Foggy Loop Guiding cells Parity Line Fog of War,
Killer Cages
10-Suȵ Loop Moon-or-Sun 10-Line Killer Cages
Counting Loop Galaxies Counting Line Killer Cages,
Kropki Dots,
Quadruple Clues
Shining Loop Moon-or-Sun Parity Line Killer Cages
Interfering Loops Slitherlink
+ Masyu
Entropic Line
+ Parity Line
Killer Cages
Slithering Loop Slitherlink Entropic Line Killer Cages,
Little Killer
BigBang Loop Galaxies Parity Line Row/Column Indexer,
Kropki Dots
Summing Loop Star Battle Region Sum Line Killer Cages,
Skyscraper,
Kropki Dots
Whispering Loop Star Battle German Whispers Sandwich Sum



Solution code: Column 8, followed by row 8

Last changed on on 6. December 2023, 20:46

Solved by OutOfMyMindBRB, Felis_Timon, lmdemasi, thrutch, ehoqq, najho, cathematician, faisalaak, Cheetos, jkuo7, Bootenks, abadx, yttrio, flyjim, Possum, meowme, Jolly Rogers, teff, madhupt, CrippledLamp, ... isajo4002, Pseudonym27182, ZornsLemon, h5663454, LehanLehan, Leoninus, sorryimLate, misko, Krisonium, dogfarts, susadoraku, Drafuf, SPring, jinkela114514, PippoForte, Echatsum, virus_dave, atomvic
Full list

Comments

on 26. April 2024, 23:49 by virus_dave
This one was very fun. Another great loop puzzle! The break in was quite interesting as well :)

on 1. February 2024, 14:20 by LehanLehan
Very beautiful loop puzzle, thank you very much)

on 26. November 2023, 11:42 by Mitsunari
I find it easier than the kropki triomino. Fun and smooth to solve :)

on 9. October 2023, 18:23 by yttrio
Another fantastic loop puzzle! The various elements combined particularly well for a fun solve!

on 7. October 2023, 11:08 by OutOfMyMindBRB
Lovely puzzle with nice logical flow - a fun solve - thanks :-)

Difficulty:3
Rating:94 %
Solved:56 times
Observed:8 times
ID:000FEC

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