Logic Masters Deutschland e.V.

Magic with Divisors and Multiples (Hidden Whispers)

(Eingestellt am 21. Juli 2020, 16:40 Uhr von SudokuExplorer)

This sudoku is a bit of an experimentation, but it does have a purely logical solution path.
This sudoku can be viewed as being a whispers sudoku, but where you need to draw in whispers.

We have the Anti-Knight constraint = No two cells a knight's move away can be equal.
Also the central 3x3 box is a magic square (the sums of each row, column and both diagonals are equal).

Moreover certain cells are coloured red. All red and white cells are given.
A cell is red if, and only if, at least one edge-adjacent cell is a divisor/factor or a multiple.
For example, if a cell containing 3 is red then at least one edge-adjacent cell contains a 1, 6, or 9.
Alternatively, if a cell containing 3 is white then no edge-adjacent cell contains a 1, 6, or 9.

The last condition can be interpreted in the terminology of whispers.
We say that two edge-adjacent cells are "whispering", if one of them divides the other one.
Then the red regions contain all cells that "whisper" with another edge-adjacent one.
However since no whispers are given, you will need to progressively draw in the whispers.

You can try this on Penpa-Edit. I hope you have fun discovering the whispers!
For some assistance, I have now added (below sudoku) a table of divisors and multiples (excluding itself).
Table of Divisors and Multiples:

Lösungscode: Enter the first and last columns (top to bottom) without spaces/commas. Eg 123456789123456789

Zuletzt geändert am 31. Juli 2021, 20:24 Uhr

Gelöst von SirWoezel, MumboJumbo, NikolaZ, Hareeb, Greg, zorant, emmettcito, MagnusJosefsson, Volatility, polar, shinkimancer, CaneloC, Storm, TimE, Dina, sandmoppe, Vebby, KatiBru, starelev5, Bobbobert, sockerbecca
Komplette Liste

Kommentare

am 21. Februar 2025, 08:17 Uhr von sockerbecca
This puzzle is awesome!

As for my solve, I worked hard and made some painstakingly slow progress... then, I re-read the rules and remembered the magic centre square! XD Very smooth and easy solve after that.

am 31. Juli 2021, 20:21 Uhr von SudokuExplorer
Fixed tags

am 31. Oktober 2020, 18:00 Uhr von SudokuExplorer
@TimE Thanks for trying it. :-)
I'm glad you found this one after trying volatility's lovely factor attractor (id=0003Z4).

am 29. Oktober 2020, 17:09 Uhr von TimE
Enjoyed this as much as volatility's factor attractor :-)

am 23. Juli 2020, 12:33 Uhr von SudokuExplorer
Added table of divisors and multiples, plus increased difficulty to 4 stars.

am 22. Juli 2020, 13:11 Uhr von SudokuExplorer
Added note about whispers

am 22. Juli 2020, 13:06 Uhr von SudokuExplorer
@SirWoezel Thanks! I'm pleased you had fun!

am 21. Juli 2020, 18:19 Uhr von SirWoezel
Wonderful

am 21. Juli 2020, 16:47 Uhr von SudokuExplorer
Added penpa link

Schwierigkeit:4
Bewertung:88 %
Gelöst:21 mal
Beobachtet:10 mal
ID:0003XL

Variantenkombination Online-Solving-Tool Arithmetikrätsel

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