Mars Attacks! (2T1L CC)
(Published on 22. August 2022, 03:33 by Xenonetix)
Inspired by zetamath's Two Truths and a Lie! Good luck!
- Every digit from 1 to 9 appears once in every row, column, and region. 9 regions are to be determined. Every region is a set of 9 orthogonally connected cells.
- Each of the following standard clue types occurs exactly three times in the grid: White Kropki dots, Black Kropki dots, Xs, Vs, Odds (grey circles), Evens (grey squares), Renban (purple lines), Entropic (peach lines), and German Whispers (green lines). (Full list of constraints in the comments below.)
- For each of those clue types, exactly two of the appearances of that clue are correct, and the other is incorrect. [A clue is incorrect if it is not fully correct. For example, an incorrect German Whisper line may have some adjacent digits differing by at least 5, but not all of them.]
- Every truthful clue across multiple cells is fully contained within a region.
- Every lying clue across multiple cells has every cell in its own unique region.
Cracking The Cryptic (with answer check)
Penpa+ (with answer check)
Following my last puzzle, this one has some very different logic! Hope you enjoy playing 😄 - Any feedback and comments welcome!
Solution code: Row 8 (left to right) with dashes for region borders. (e.g. 123-4-56-789)
Comments
on 13. March 2024, 18:45 by Christounet
What a tricky puzzle ! I think I stuggled for the same reason than other solvers did, with that one deduction that is trally harder than the rest of the puzzle. And not "intendedly" so if I understand the hidden comments correctly.
on 26. August 2022, 16:42 by wenchang
Very nice setting! Spoiler alert!
https://youtu.be/eJ1G3gUNeBo
on 24. August 2022, 22:39 by jwsinclair
Wow! This is an outstanding puzzle
on 23. August 2022, 23:12 by peacherwu2
Insane logic! Harder than the previous one. Tricked me quite a few times...
on 22. August 2022, 15:19 by Snookerfan
What an absolutely fantastic puzzle! I never felt stuck as it unraveled its secrets slowly. Thank you so much!
on 22. August 2022, 07:22 by Bootenks
Brilliant setup, lovely deduction paths and a must have for all puzzle solvers.
Thumbs up.
on 22. August 2022, 06:41 by KNT
Hah - couldn't resist giving this one a try. An improvement over the first 2T1L CC! Still fairly tricky for me, though.
on 22. August 2022, 03:33 by Xenonetix
Here are the individual rules:
White Kropki dots - Cells across white dots contain consecutive digits.
Black Kropki dots - Cells across black dots contain digits at a 1:2 ratio.
Xs - Cells across Xs sum to 10.
Vs - Cells across Vs sum to 5.
Odds - Grey circles indicate odd digits.
Evens - Grey squares indicate even digits.
Renban - Digits along purple lines are consecutive in any order.
Entropic - Any set of three sequential cells along peach lines contains a low digit (1-3), a middle digit (4-6), and a high digit (7-9).
German Whispers - Adjacent digits along green lines differ by at least 5.
