Japanese Japanese Sums Sums #2
(Published on 12. March 2024, 21:51 by The Book Wyrm)
This puzzle is an even crazier sequel to my previous puzzle, which can be found here.
Rules:
- Somewhere in the grid there is an 8x8 box, the position of which must be determined by the solver, and inside which standard chaos construction rules apply.
- Chaos Construction: Divide the grid in 8 regions, each made of 8 orthogonally connected cells. Place the digits 1-8 once each in every row, column and region.
- Inner Japanese Sums: some of the cells in the grid outside the box contain numbers which are Japanese Sums-style clues indicating the sums of contiguous runs of cells within the row or column of the inner box that are in the same region.
- All clues for every row and column of the inner box must be filled in as numbers in the cells outside the box, in the correct order, in the corresponding row or column. Clues can be on either side (or both) of the inner box (the clues on either side of the box are read as one string, skipping over the inner box, top down or left to right). There are no gaps between clues or between a clue and the inner box. Every cell outside the box and not containing a clue must be empty.
- Outer Japanese Sums: The clues outside the grid are Japanese Sums-style clues indicating the sums of contiguous runs of cells within that row or column that all have the same parity (odd or even).
Note: An empty cell seperates the sums of the outside clues, so if two cells of the same parity have an empty cell between them they are in different sums. - All outside clues are given modulo 4 (i.e. the given value is the remainder if the actual value was divided by 4).
- All outside clues are given in ascending order (with the largest clues closest to the grid).
- A ? represents a value from 0-3.
Penpa+ link: Click Here
Sudokupad link: Click Here (Answer check only on inner grid)
Solution code: Column 10, top to bottom. Use X for empty cells.
Comments
on 28. September 2024, 06:40 by Silverstep
That was wild. 5/5 on both counts, observe, add to favourite, all the buttons.
on 22. July 2024, 13:09 by Mutx
好耶
on 17. May 2024, 18:34 by ascension
WOW
on 15. May 2024, 21:38 by bodemeister
This puzzle is nothing short of incredible. Interesting and sometimes surprising deductions to be made throughout the entire solve, and relentlessly difficult from start to finish. Beautiful resolutions to deadly patterns at the very end. Thanks for this gem of a puzzle!
on 13. March 2024, 22:33 by Jolly Rogers
The hardest puzzle I've solved in a long while, incredible solve and very rewarding when I eventually deduced the next step each time. Glad I saw this one through to the end, the breadcrumbs were sparse but they are there. Thanks for this fantastic setting! :]
on 13. March 2024, 00:24 by BloodFalcon
Ah I see! That is fantastic yes, thank you very much that is super helpful, I see and understand now, much appreciated :)
on 12. March 2024, 23:36 by BloodFalcon
Hi, if it was okay would just like some clarification on one of the rules - "All outside clues are given in ascending order (with the largest clues closest to the grid)."
Is this true for the example grid as well? I was just reading through to make sure I understood it all, but I couldn't seem to find how the example grids demonstrate this rule, any help would be great thanks, loved the the prequel that you linked to above so eager to try this!
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The first example grid has clues given in the order they appear. The second example grid has clue in ascending order. It's ascending based on the actual values not the modulo 4 values. For example in row 2, the largest clue is 5, which is equal to 1 mod 4, so the clue closest to the grid is a 1.
Does that help?
on 12. March 2024, 22:04 by zzw
Wow!! This one really cranked up the insanity, in a very good way. Relentlessly super difficult, but so many fascinating steps. Very impressive that this can resolve with so little information given, and with a pretty reasonable solve path too (even if it takes a long time to find!). Incredible puzzle!
