Reductive Thinking
(Published on 19. July 2021, 15:09 by pleasant_setting)
Normal sudoku rules apply. Digits in circles are equal to the reduced sum of the digits along their arrows. The sum of the digits on any arrow must be a 2-digit number. Arrows connected to the same circle must not have the same sum. Digits may repeat along an arrow if allowed by other rules.
A reduced sum is calculated by taking the digits of the actual sum and adding them together.
For example, the reduced sum of 24 is 6 as 2+4=6.
If the reduced sum is initially a 2-digit number, the process repeats until there is only 1 digit. For example, the reduced sum of 74 is 2 as 7+4=11 and 1+1=2.
Link: f-puzzles
Solution code: Columns 6 and 7 (18 digits, no spaces or commas)
Comments
on 20. July 2021, 23:17 by pleasant_setting
Link update
on 20. July 2021, 22:53 by pleasant_setting
Changed the rules paragraph to make it easier to read per suggestion from a solver.
on 20. July 2021, 19:15 by RockyRoer
Lol. Bigger is now the portal’s resident expert on short and sweet rule explanations…
Another way to think about these reductions is they are the sum (mod 9).
on 20. July 2021, 19:01 by bigger
That's interesting. By the time I found the third and forth paragraph, things get really easy. My advice, put all the important rules in one paragraph, and example in another. We don't need an example between rules.
Advice for future solver who get stuck, 9n+a(the digit in the circle) is the line sum.
