Logic Masters Deutschland e.V.

---- RULES ----

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

Slitherlink Loop: Draw a single non-intersecting loop into the lower-right 7x7 grid by connecting centers of orthogonally adjacent cells. Clues in blue dots indicate how many loop segments are connecting pairs of cells adjacent to the clue, i.e., it counts how many loop segments are surrounding the clue. The loop never enters the two leftmost columns (c1 and c2) and two topmost rows (r1 and r2).

Entropic Line: The Slitherlink Loop acts as an Entropic Line. Any group of three consecutive cells along the loop must contain one low digit (1,2,3), one middle digit (4,5,6), and one high digit (7,8,9).

Masyu Loop: Draw another non-intersecting loop into the upper-left 7x7 grid by connecting centers of orthogonally adjacent cells. The loop must pass through all large red circles. An open circle indicates that the loop passes straight through this circle. Furthermore, it must turn in at least one of the adjacent cells on the loop. A filled circle indicates that the loop must turn within that cell. Furthermore, the loop cannot turn in the adjacent cells along the loop. The loop never enters the two rightmost columns (c8 and c9) two and lowermost rows (r8 and r9).

Parity Line: The Masyu Loop acts as a Parity Line. Adjacent digits along the loop have opposite parity.

Killer Cages: Digits within cages cannot repeat, and they must sum to the small number (if given).

---- LINKS ----

Solve this puzzle in the CtC app

Solve this puzzle on f-puzzles.com

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This is the fifth 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