The Enchantments (GW loop Chaos Deconstruction)
(Eingestellt am 26. Juli 2025, 20:55 Uhr von SeveNateNine)
Chaos Deconstruction/ Numbered Regions: Fill some cells with a digit from 1-9 such that no digit repeats in any row or column. Divide the filled cells into nine orthogonally connected regions, each containg a set of the digits 1-9 respectively. In the upper-left hand cell (leftmost cell of top row) of each region is a region number, N. This number is different for all regions.
German Whisper Loop: Draw an orthogonally moving loop through non-empty cells which does not touch itself orthogonally, or diagonally, on which adjacent digits differ by at least five.
Circles mark every instance of a region number that is visited by the loop.
Within a region N, the loop must visit exactly N-1 cells. The regions are visited in ascending order (excluding region 1) with region nine connecting to region two.Arrows indicate the number of loop cells in the indicated direction. (Not including the cell itself) Cells with multiple arrows count each direction separately.
Caged cells contain a digit equal to the number of cells seen vertically and horizontally (including itself) within its region. Region borders block sight lines. *ALL CAGES ARE GIVEN*
Much thanks to Andrewsarchus, and Crusader175 for testing!
Lösungscode: Loop cells in rows 9 and 10.
Kommentare
am 7. August 2025, 09:29 Uhr von TitaniaLowe
This took me three and a half hours to solve and I can't help but feel like I must have missed some really obvious deductions in the last third or so of the puzzle. Anyway, absolutely brilliant!
am 6. August 2025, 14:06 Uhr von MagnusJosefsson
Fantastic puzzle, very enjoyable and challenging!
am 5. August 2025, 21:08 Uhr von SeveNateNine
Changed sum to count
am 5. August 2025, 20:05 Uhr von Phistomefel
I'm very curious about this puzzle, but there is a rule I would like to ask you about. Cells with multiple arrows sum each direction separately. Does this mean that the count of the loop cells in the directions are summed or that every direction sees the same number of loop cells?
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Each direction sees the same number of loop cells.
am 2. August 2025, 21:34 Uhr von steveire
I was able to solve it, but it was too difficult for me to enjoy...
am 1. August 2025, 08:51 Uhr von SeveNateNine
Clarification
am 1. August 2025, 07:51 Uhr von steveire
Are region numbers in the topmost position of the leftmost column, or the leftmost position of the top column?
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It is the leftmost cell of the top row.
am 27. Juli 2025, 22:05 Uhr von marcmees
amazing puzzle. thanks
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Glad you enjoyed!
am 27. Juli 2025, 10:09 Uhr von han233ing
I never imagined these two types of fully given circles and cages would have such a powerful effect.
am 27. Juli 2025, 08:32 Uhr von SeveNateNine
Fixed mistake in solution check.
am 26. Juli 2025, 21:32 Uhr von SeveNateNine
Added missing rule
am 26. Juli 2025, 21:27 Uhr von marcmees
and circles?
am 26. Juli 2025, 21:05 Uhr von Andrewsarchus
I really love this puzzle. Every deduction feels beautiful and brilliant.
