This is yet another puzzle using the split pea line constraint! Other puzzles in this series:
Schrodinger's Split Peas (5* difficulty) - S-cells
Inner Peas (4* difficulty) - yin/yang, hot/cold
Peas and Quiet (2* difficulty) - German whispers
Chaotic Gardening, Pt. 1 (3* difficulty) - mean mini, chaos construction
Last Resort (2* difficulty) - region sum lines (with sujoyku)
We Come in Peas (5* difficulty) - S-cells, base N (with Gene The Supreme)
A conversation with sujoyku sparked a conversation between the two of us, which led to a few split pea puzzles! This is our second collaboration; the first one can be seen here.
The next puzzle we are releasing is actually the first idea that we had: combining split pea lines with entropic lines! We found that this leads to some very interesting logic, which we showcase in the following puzzle. We hope you enjoy it!
Rules:
Sudoku: Normal sudoku rules apply.
Entro-Peas: 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.
Furthermore, not including cells with circles, every set of three consecutive cells on a line must include a low digit (123), a medium digit (456), and a high digit (789).
Note: Because cells containing circles do not have to follow the entropic rule, every line is a different entropic line - in other words, entropy classes may repeat in less than a 3-cell span if a circle is between them.
You can play the puzzle by clicking on the image!
We wish you joyful solving! Please leave a comment if you enjoyed this one, and check out some of the puzzles linked above! Also, take a look at sujoyku's collection if you haven't already, it is truly amazing!
Solution code: Row 5, from left to right (9 digits)
on 10. October 2024, 03:22 by Frank Puzzles
https://youtu.be/Kl1_RBKHHKQ
Here's a link to my solve of the puzzle. Very ingenious logic to solve it!
on 2. September 2024, 22:45 by ViKingPrime
These just keep getting better and better. Love it!
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Thank you for your kind comment, ViKingPrime! We are glad you liked this puzzle! -SP
on 28. August 2024, 08:02 by damo_89
A surprising array of logic in there right down to the final pea resolving a deadly pattern. I hoped sudoku would mean I didn't have to do the math!
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Thank you for your kind comment, damo_89! We are happy that you found the logic to be varied. We strived to make a vast array of deductions in this one, and so we are glad that you felt the same way! -SP
on 27. August 2024, 20:15 by sujoyku
Thank you for introducing me to the wonderful split pea lines variant, SamuPiano! Our collaboration was super-fun and I hope there are many more to come. :)
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Thank you for your comment, sujoyku! Collaborating with you was great fun and I also hope to continue collaborating, as well as seeing what you can achieve with these lines yourself! -SP
on 27. August 2024, 18:43 by mathpesto
Very fun!
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Thank you for your comment, mathpesto! We are happy you enjoyed our puzzle! -SP
on 27. August 2024, 16:43 by Calvinball
Spectacular from start to finish. Nothing in there but good clean logic, and a good time.
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Thank you for your kind comment, Calvinball! We are glad that you enjoyed our puzzle! -SP
Difficulty: | |
Rating: | 95 % |
Solved: | 18 times |
Observed: | 0 times |
ID: | 000JIY |