Killer Mod 3
(Published on 22. March 2021, 11:24 by nearestneighbour)
My second Killer Mod 3 sudoku. Rules:
Normal sudoku rules apply.
Killer cage - Digits in cages should sum up to a number whose modulo 3 is shown in the top-left corner of the cage. The modulo 3 of a number N, written as N%3, is here defined as the remainder after repeatedly subtracting 3 from N until 1, 2 or 3 is left. So for example 1%3=1, 2%3=2, 3%3=3, 4%3=1, and so on. Digits can not repeat within a cage.
Little killer - The little killer clues outside the grid work similar to the cages, they show the modulo 3 of the sum of their corresponding diagonal.
Kropki - Digits separated by a black dot have a 1:2 ratio and digits separated by a white dot are consecutive.
Thermometer - Digits on a thermometer increase from the bulb end.
Palindrome - Digits along a grey line form a palindrome.
Click here to play the puzzle on f-puzzles. Note that f-puzzles sees the "killer mod" cages as normal killer cages so it will mark your digits as incorrect. (Does anyone know a solution/different app?)
Solution code: Column 3 and column 7 top-to-bottom, e.g. 123456789123456789.
Comments
on 24. March 2021, 09:09 by nearestneighbour
@Sktx I see the puzzle is now even rated 2 stars, I find it very difficult to estimate how hard it is.
@panthchesh thanks that is great to hear! I love making them :)
@Aaronomys thanks so much for the advice!
@SKORTP17 that is true, but f-puzzles wouldn't allow me to put a 0 in a cage :) and it makes no difference for solving.
on 23. March 2021, 20:37 by SKORP17
so ganz korrekt ist das nicht, da zb. 3%3 = 0 ist. Es kann bei mod 3 kein Rest 3 geben.
on 23. March 2021, 17:26 by Aaronomys
Hi! There are 2 things you can do to solve the error-detection thing in F-Puzzles. 1) Go to cosmetics and use the cage option there. They work exactly the same as normal cages, except they won't show errors in the cell if two digits repeat within a cage or they don't sum to the cage total. 2) You can turn off highlight conflicts in the export section. Hope this helps!
on 22. March 2021, 19:09 by panthchesh
Thanks for the puzzle! I love coloring Mod 3 :D
on 22. March 2021, 16:27 by Sktx
Nice and refreshing logic with modulos. I would down the difficulty to 3 stars (although it might be harder if the solver has no prior knowledge of modulos. Hint : play with the concept and make your own small theorems along the solve !)
