Logic Masters Deutschland e.V.

Maths Factor

(Eingestellt am 28. März 2023, 19:29 Uhr von BenTen)

Don't be put off by the ruleset. Basically points 1 and 2 are standard for variant sudoku, and point 3 is explained in the example at the bottom of the page. Once you have got them it leads to a nice solve path, so give it a go!



Rules:

1) Normal sudoku rules apply.

2) Traditional cage, kropki dots, XV and odd/even rules apply:

  • In cages, digits must sum to the small clue in the top left corner of the cage.
  • Cells separated by white dots are consecutive in value. Not all white dots are given.
  • Cells separated by an X sum to 10; not all such X's are given.
  • Digits in grey circles must be odd. Digits in grey squares must be even.
3) Divisibility rules for each Row X: (See example for clarity)
  1. At and to the left of the digit X (Rule 1)
    • Every number of N-digits reading from column 1 to N must be divisible by X.

  2. To the right of the digit X (Rule 2)
    • Every number of N-digits reading from column 1 to N must NOT be divisible by X.

  3. Cells in red are exempt from the above divisibility rulesets.

  4. X cannot be in Column 1.

f-puzzles link
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Example:
For Row 4 (i.e. X=4)
  • Row 4 can begin 1684, as 16, 168 and 1684 are all divisible by 4.
Then after the digit 4 is placed, ruleset 2 kicks in.
  • 168435 is viable as 16843 and 168435 are NOT divisible by 4.


Divisibility Rules series:

This one goes up to 11! - Try my first puzzle in this series.

Lösungscode: Column 9 from top to bottom.

Zuletzt geändert am 29. März 2023, 19:42 Uhr

Gelöst von efnenu, sirtramola, SKORP17, lianarox, halakani
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Kommentare

am 29. März 2023, 19:42 Uhr von BenTen
Digit added into puzzle to avoid having to make an assumption. (See efnenu's comment).

Zuletzt geändert am 29. März 2023, 14:20 Uhr

am 29. März 2023, 01:00 Uhr von efnenu
Smashing puzzle! I was only able to solve it after assuming that the red cells HAD TO actively contradict the divisibility rules (though there might have been another way).
I'm really looking forward to this series!

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Thank you efnenu! :)
That's a good point and it has got me thinking!
It wasn't my intention to have that as a condition, and I'm pretty sure that column 1 and the two red cells on their own in column 9 are solvable through other logic.
The only cell that I'm not so sure on is the digit at cell row1column4 which I may have made this assumption during my solve path. I will need to look at this later!
Thanks for your comment. At the moment I have one more prepared for this series but it is going to be a tough one! ;)

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Rätselkombination Neu Mathematikkenntnisse

Lösung abgeben

Lösungscode:

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