Logic Masters Deutschland e.V.

Intensity

(Eingestellt am 12. November 2025, 15:42 Uhr von steelwool)

Normal Sudoku rules apply. Cells a knight's move apart cannot have the same digit.
The positive and negative diagonal each have the digits 1-9 on them.

The 'intensity' of a cell is defined by the number of lines that a cell has that are connected to the cell, where the sum of the digits on the line is 10. A line can move in any direction, but does not visit any cell more than once. It is not a branching line. A line that uses the same cells exactly as another line only counts once to the Intensity. For example, if you can draw 1-4-5 and 1-5-4 (with 4, say, the cell in question) then this counts once if the same three cells are on each line. A 1-5-4 using a second 5 would count as another line to the Intensity.

Every green coloured cell has Intensity ONE (there is one line connected to the cell that sums to 10). Every blue coloured cell has Intensity TWO. Every yellow cell does NOT have a line that sums to 10, its Intensity is ZERO. Other cells have Intensity greater than two.

Sudokupad

Here is an example showing how Intensity lines work: Example

Lösungscode: First row


Gelöst von Marshal on Mars, SKORP17, dzamie
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Kommentare

am 13. November 2025, 01:47 Uhr von dzamie
Interesting concept. The intensity constraint is useful primarily for larger numbers, which did mean that I could basically ignore it towards the end of the puzzle and solve it using only anti-knight, diagonals, and normal sudoku rules, then come back to it for one last bit of disambiguation at the end.
Works well for a puzzle to introduce the mechanic, I think.

am 12. November 2025, 20:58 Uhr von Marshal on Mars
I actually forgot the anti-knight rule was part of the rules until I came back to enter the solution code. I never needed to use it. I'm not sure if that's intentional.

With that rule, it probably gets even easier. I rated 3* difficulty without the AK rule; it's probably a 2* using it.

The concept is interesting but the notation options feel a bit limited for checking uncolored cells (3+ lines). On the other hand, with the AK rule maybe you can just ignore the uncolored cells anyway.

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