Logic Masters Deutschland e.V.

Crossbeams

(Eingestellt am 21. März 2024, 22:19 Uhr von stephane.bura)

Normal Sudoku rules apply.

The value of a cell is the height of a 3-cube long beam in the direction of the smallest orthogonal neighbor (see example). If several directions are possible, choose one.
Beams cannot intersect and cannot exit the grid.

The cells of the given digits are the only ones for which the topmost beams covering them are at height 5 or lower.

For any two non-grey cells, it is possible to trace an orthogonal path from one to the other by walking on the topmost beams of the cells in the path and never going up or down by more than one step (e.g. from height 7 to 8 but not from 9 to 7).
No such path can be found between a given grey cell and any white cell.

Enjoy!

Play this puzzle on SudokuPad
Play this puzzle on Penpa+ (recommended)

           





Lösungscode: Column 1, column 6

Zuletzt geändert am 22. März 2024, 07:05 Uhr

Gelöst von SKORP17, ancarro, Gnosis66, amarins, mathaddict, zrbakhtiar
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Kommentare

Zuletzt geändert am 23. März 2024, 10:03 Uhr

am 23. März 2024, 05:48 Uhr von Gnosis66
This is the most original and inventive puzzle I’ve played in many months. It was very difficult to conceptualize at first, but it became much less abstract during the process of solving. I can’t begin to understand how you set this, but thanks!

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Thanks, Gnosis66 :)
There's a reason why I don't post many puzzles anymore ;) This one took a year to mature.

am 22. März 2024, 07:05 Uhr von stephane.bura
Added Penpa+ link.

Zuletzt geändert am 22. März 2024, 07:07 Uhr

am 22. März 2024, 04:37 Uhr von henrypijames
This is some mind-boggling stuff, Stephane! I haven't used Penpa forever, but for this one I think I'll need it to mark the beam direction of each single cell. Could you provide a Penpa link?

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Here you go :)
This is a good call. Have fun!

Zuletzt geändert am 22. März 2024, 00:14 Uhr

am 21. März 2024, 23:55 Uhr von Gnosis66
Can the cell value be the middle block of the beam?

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No, it must be its end point.
Good luck! :)

Schwierigkeit:5
Bewertung:N/A
Gelöst:6 mal
Beobachtet:0 mal
ID:000HDT

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