Logic Masters Deutschland e.V.

Despair

(Eingestellt am 16. Juni 2026, 20:45 Uhr von BlackRaven)

Solve in SudokuPad

Place 9 non-overlapping 3x3 boxes in the grid. Put the digits 1-9 once each in every box. Digits do not repeat in a row or column. The blank cells remain empty throughout the solve but fill them with 1s at the end for solution check.

Draw a path that starts from R11C1 and ends in R1C2 (marked with circles). You must determine which circle is in a box and which one is blank. The path does not branch or intersect itself and moves along orthogonal cells. The path visits each box at least once. When the path visits a box, the first digit it enters is equal to the number of cells on the path that exist in the previous box or blank space from which the path is coming from. In 3x3 boxes, adjacent digits on the path sum to a non-prime and have different parity. Two digits on the path separated by a box border or blank space don't have to satisfy the conditions.

Arrows: Each arrow is part of a different 3x3 box and are not on the path. A digit on an arrow counts the number of cells on the path in the indicated directions combined.

Digits in cages do not repeat and sum to the given total. Digits on a purple line form a non-repeating consecutive sequence. The gray circle is odd.

Dominos: If the path goes through a blue dot, digits have the same parity. Digits on a red dot have different parities. A black dot separates digits where one is double the other. An inequality sign points to the smaller digit.

An example of how the path works:

Lösungscode: Digits on the path in row 3, left to right.

Zuletzt geändert am 18. Juni 2026, 09:51 Uhr

Gelöst von Guvenistan, lsw770770, Xean, snowbaby, Zzzzz..., haoju, Kongfusion
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Kommentare

am 18. Juni 2026, 09:51 Uhr von BlackRaven
Rewrote the rules a bit to avoid confusion. Sorry for the inconvenience.

am 18. Juni 2026, 09:33 Uhr von Xean
I got confused by the rules halfway through solving the puzzle. I only just realized that two consecutive numbers separated by a blank space do not need to satisfy the condition that their sum is a non-prime.

Zuletzt geändert am 17. Juni 2026, 06:59 Uhr

am 17. Juni 2026, 00:46 Uhr von lsw770770
A couple of questions about the rules: does the path have to go through the renban lines? And do the black cells all have to be connected?

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Nowhere in the rules it says that, so no.

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ID:000TBX

Rätselvariante Variantenkombination Groß Wegerätsel

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