Collatz's Modifiers
(Published on 12. September 2022, 03:53 by mathpesto)
Here's another puzzle involving modified cells, this time inspired by the Collatz conjecture. Comments and ratings are much appreciated, and please check out my other puzzles here. Feel free to post a hidden comment below or message me on Discord if you'd like any help! Enjoy!
Rules:
Normal Sudoku rules apply. There are two "Collatz cells" in every row, column, and 3x3 box. Let n be the digit in a Collatz cell. If n is even, then the cell’s value becomes n/2; if it is odd, then it becomes 3n+1. Cells on a line have the same sum in each region the line is in, taking into account the values of any modified cells. If a line passes through a region multiple times, each individual segment sums separately.
Solve:
Solution code: All digits in Collatz cells, starting in Row 1 (left to right), Row 2 (left to right), etc. (18 digits, no spaces)
Comments
on 15. September 2022, 18:17 by KNT
Very tricky arithmetic exercise, had to keep a notepad of all the combinations. fun puzzle
on 13. September 2022, 17:27 by djorr
I can always count on you for some awesome math fun :)
on 12. September 2022, 18:48 by Nordy
My favorite modified cells puzzle so far! Extra dynamic and interesting because the Collatz cells can increase OR decrease values. Surprisingly, on the easier side of 4-stars for me
on 12. September 2022, 13:58 by MagnusJosefsson
Very cool and unusual puzzle with a satisfying solution path!
