Japanese Japanese Sums Sums #2
(Eingestellt am 12. März 2024, 21:51 Uhr von 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.
For clarification, two examples of a completed grid are provided. The first has all clues given in order with their actual values, while the second has clues given in the ascending modulo 4 format.
(They have a 5x5 inner grid instead, and the numbers placed are shaded according to parity, for convenience)
Main Puzzle:
Penpa+ link: Click
Here
Sudokupad link: Click Here (Answer check only on inner grid)
Lösungscode: Column 10, top to bottom. Use X for empty cells.
Zuletzt geändert am 24. März 2024, 23:36 Uhr
Gelöst von zzw, Martijn314, Jolly Rogers, bodemeister, ascension, cornish-john, Mutx, Silverstep
Kommentare
am 28. September 2024, 06:40 Uhr von Silverstep
That was wild. 5/5 on both counts, observe, add to favourite, all the buttons.
am 22. Juli 2024, 13:09 Uhr von Mutx
好耶
am 17. Mai 2024, 18:34 Uhr von ascension
WOW
am 15. Mai 2024, 21:38 Uhr von 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!
Zuletzt geändert am 13. März 2024, 22:33 Uhram 13. März 2024, 22:33 Uhr von 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! :]
am 13. März 2024, 00:24 Uhr von BloodFalcon
Ah I see! That is fantastic yes, thank you very much that is super helpful, I see and understand now, much appreciated :)
Zuletzt geändert am 13. März 2024, 00:11 Uhram 12. März 2024, 23:36 Uhr von 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!
-------
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?
am 12. März 2024, 22:04 Uhr von 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!