A Pea-ory of Everything (with SamuPiano)
(Published on 25. September 2024, 22:25 by sujoyku)
- Normal sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.
- Split pill arrows/Pea lines: The sum of the digits on a line strictly between two circles is equal to a concatenation of the two values in the circles, in some order. For instance, 3_346_1 could be a valid split pea line, as 3+4+6=13, which is 1 concatenated with 3.
The inner segment of each pea line carries one of the extra constraints mentioned below. Note: The bounding circles are NEVER part of the inner line’s constraint. For example, when the inner pea line is a German whispers line the circled digits do not have to have a difference of 5 to the next digit on the line.
- Nabner line (NAB, golden): The golden line is a Nabner line, i.e. on this line there may not be consecutive digits.
- Modular line (MOD, teal): Every set of three adjacent digits along the teal line has three different remainders when divided by 3. In other words: Every set of three adjacent digits along the line has to contain one digit of (1, 4, 7), one of (2, 5, 8) and one of (3, 6, 9).
- Region sum line (RSL, light blue): Box borders divide the light blue line into segments with the same sum.
- German whispers (GW, green): Adjacent digits along the green line must have a difference of at least 5.
- Entropy line (ENT, orange): Every set of three adjacent digits on the orange line must include a low digit (1, 2, 3), a medium digit (4, 5, 6), and a high digit (7, 8, 9).
- Renban (REN, purple): The purple line must contain a set of consecutive non-repeating digits in any order.
Here you can solve the puzzle online:
Solution code: Row 5 from left to right (9 digits in total)
Comments
on 27. September 2024, 07:17 by Hamsterbase
Lovely puzzle. A little bit "trial and error" at the outset working out which combinations might work, but once the first couple of lines are pencilled in, it solves beautifully. Perhaps there are mathematical reasons why some combinations couldn't work, but if so they were too clever for me! Many thanks.
**
You are much welcome, Hamsterbase, thank you for commenting! We are glad that you liked the puzzle.
Kind regards, sujoyku
on 27. September 2024, 03:29 by antiknight
Great deductions at the start to break in, followed by a clever use of logic in the middle to solve the puzzle.
**
Thank you for your comment, antiknight! We are glad that you enjoyed the deductions in this puzzle.
Kind regards, sujoyku
on 26. September 2024, 22:05 by wuc
I love a good clever math puzzle. Great setting. Thx for sharing.
**
You are much welcome, wuc, thank you for the comment! As SamuPiano and I are mathematicians ourselves, it is good to know that we are not the only ones who are appreciating a bit of math in puzzles. :)
Kind regards, sujoyku
on 26. September 2024, 16:52 by stimim
Very nice puzzle!
**
Thank you for your comment, stimim! It is nice to hear you liked it.
Kind regards, sujoyku
on 26. September 2024, 15:28 by Snookerfan
Wonderful puzzle! Thank you
**
You are much welcome, Snookerfan, thank you for commenting! I am glad that you liked the puzzle.
Kind regards, sujoyku
on 26. September 2024, 13:36 by Franjo
I agree: very nice puzzle and surprisingly approachable with some unexpected deductions. Thank you very much for creating and sharing this gem.
**
You are much welcome, Franjo, thank you for your comment! It is great to hear that you enjoyed the puzzle.
Kind regards, sujoyku
on 26. September 2024, 12:30 by lmdemasi
Lovely puzzle, and quite approachable!
**
Thank you for your comment, lmdemasi! I am glad you liked the puzzle and found it to be approachable.
Kind regards, sujoyku
on 25. September 2024, 22:29 by SamuPiano
Thank you so much for this wonderful collaboration, sujoyku! It is always a pleasure to work with you, and I'm glad you approached me with this idea!
**
Thank you for your kind comment, SamuPiano! I also very much enjoyed our collaboration and hope there are many more to come. :)
I think your ideas (especially the modular line) made this one a much richer puzzle than I could have set on my own.
Kind regards, sujoyku
