Schrodinger's Split Peas
(Published on 12. July 2024, 15:44 by SamuPiano)
Schrodinger sudoku rules apply - place the digits 0 through 9 once each in every row, column and 3x3 box. This is accomplished by having one cell in each house be a "Schrodinger cell", containing two digits.
No two Schrodinger cells can have the same two digits. The value of a cell is the sum of all digits contained in the cell.
Split pill arrows (split peas) - the sum of the values strictly between two circles is equal to a concatenation of the two values in the circles, in some order. (e.g. 3_346_1 could be a valid split pea line, as 3+4+6=13.) 0 is a valid concatenation; for example, 0_123_6 could also be a valid split pea line.
Every set of cells between two circles is a separate summation.
CTC AppHappy solving! Please leave a comment below if you enjoy this one and check out some of my other puzzles!
Solution code: Column 9, top to bottom. The Schrodinger cell's digits should be listed with the lower one first. (10 digits)
Comments
on 20. October 2024, 11:29 by 3good5you
Well-telegraphed, interesting, and fun all the way through!
on 26. September 2024, 18:43 by Snookerfan
Beautiful! Thank you
on 19. July 2024, 19:01 by henrypijames
A rather smooth solve - after the initial immediate crashing that truly concentrated the mind. :D
on 18. July 2024, 18:45 by henrypijames
I feel like "concatenation" as a word is uncommon enough that it needs some explanation. If two circles have the values 0 and 12, what are their valid concatenations? Only 12 and 120? Or are 21, 102, 201 etc. also valid?
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Hi! In this instance, only 12 and 120 would be valid; so, either 0||12 or 12||0.
on 13. July 2024, 01:11 by SamuPiano
Changed solution code to be more standard
on 12. July 2024, 22:32 by walid_tun
brilliant puzzle, I enjoyed every minute.
on 12. July 2024, 20:11 by ViKingPrime
I agree with @vitaminz - some spectacular bits of logic throughout the solve (and as a bit of advice, if you get stuck, you've likely forgotten an important part of the rules... and if you're still stuck, you've probably forgotten a different important part of the rules!).
on 12. July 2024, 18:50 by vitaminz
Tough puzzle but very worth it. Lots of great deductions but two in particular were world class.
