Logic Masters Deutschland e.V.

Maths Factor

(Published on 28. March 2023, 19:29 by 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.

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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.

Solution code: Column 9 from top to bottom.

Last changed on on 29. March 2023, 19:42

Solved by efnenu, sirtramola, SKORP17, lianarox, halakani
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Comments

on 29. March 2023, 19:42 by BenTen
Digit added into puzzle to avoid having to make an assumption. (See efnenu's comment).

Last changed on 29. March 2023, 14:20

on 29. March 2023, 01:00 by 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! ;)

Difficulty:3
Rating:N/A
Solved:5 times
Observed:3 times
ID:000D59

Puzzle combination New Math knowledge

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Solution code:

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