Logic Masters Deutschland e.V.

Feeling... green?

(Eingestellt am 11. Mai 2025, 20:14 Uhr von someguy209)

Rules:

Chaos Construction: Divide the grid into regions, each consisting of orthogonally connected cells, and fill each row, column, and region with the digits 1 to 9 once each.

Green Arrows: The digit in a cell with an arrow is the total number of OTHER cells belonging to the same region seen in the indicated direction by the arrow in the cell. Entering different regions obstructs this vision. Additionally, each arrow's sightline, (going from its cell to the last cell it sees in its region without changing direction,) must satisfy at least one of the three below rules. No two arrows in the same region may satisfy the same rule. Note that the green X indicates that the two cells it separates are in the same region. There are also three given digits.

German Whisper: Adjacent digits along a line segment differ by at least 5.

Split pea: The sum of the values strictly between two ends of the segment is equal to a concatenation of the two values on the circles, in some order. (e.g. 3_256_1 could be a valid split pea line segment, as 2+5+6=13.)

Modular: Every set of three sequential digits along a segment must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits on two-cell line segments cannot be from the same residue set.

Puzzle link

Example:

Puzzle:

Lösungscode: Row 8, with a / to indicate a region border

Zuletzt geändert am 13. Mai 2025, 07:00 Uhr

Gelöst von aqjhs, SPring, zakkai, marcmees, wildbush7, jkuo7, SamuPiano, halakani, Scojo, sehringdipity, han233ing
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Kommentare

am 22. Mai 2025, 01:40 Uhr von SamuPiano
Wow! This was one of my favorite puzzles of the year so far and I'm so happy I stuck with it! It is very hard but always fair, and the break-in is so elegant!

am 16. Mai 2025, 20:58 Uhr von marcmees
Very hard but nice. Great use of negative constraint. Thanks

am 13. Mai 2025, 07:00 Uhr von someguy209
Fixed HMTL error

am 13. Mai 2025, 07:00 Uhr von someguy209
Added Example image and altered rule to help with prior comment

Zuletzt geändert am 13. Mai 2025, 05:56 Uhr

am 13. Mai 2025, 05:53 Uhr von aqjhs
for the longest time i thought the arrow constraint applied all the way to the end of the grid, but they only apply within its own region...

this is my 420th solve!

Schwierigkeit:4
Bewertung:N/A
Gelöst:11 mal
Beobachtet:6 mal
ID:000NBJ

Rätselvariante Variantenkombination

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Lösungscode:

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