This is my fourth installment in my Suguru Chaos Deconstruction series! The ruleset is a bit more complex than I usually aim for, but if you've done Japanese Sums before and you've done one of my previous puzzles in the SCD series before, it's not too hard to understand. (Do let me know if you have any suggestions for making the rules clearer!) I've also included a mini-example and a walkthrough of the solution if you'd like some help. Also, shoutout to @henrypijames for testing the puzzle and providing feedback! Comments and ratings are much appreciated, and please be sure to check out my other puzzles here.
Fill some cells in the main 12x12 grid with the digits 1–9 such that no digit repeats in a row or column. Cells with a square or line must have a number in them. Cells with a gray square contain an even number. A purple line contains a set of non-repeating, consecutive numbers (in any order).
Deconstructed Suguru: All digits within the main grid must belong to a region (a collection of orthogonally connected cells). A region of size n contains the digits 1 through n once each. Regions may not touch each other orthogonally, although they may touch each other diagonally.
Japanese Sums: Outside the 12x12 grid, the nth number in a row/column is a clue that corresponds to the nth block of contiguous digits within the main grid for that row/column. Those contiguous digits sum to that corresponding clue. Blocks must be separated by at least one empty cell. The amount of clues for a particular row/column is exactly the number of white cells outside the grid for that row/column. Numbers outside the main grid can repeat within a row/column, can be greater than 9, and do not belong to any regions.
Mini-example, where the main grid is 4x4 instead of 12x12 and the digits 1–3 are placed instead of 1–9:
Solution to mini-example and explanation of solution:
Within the main 4x4 grid, the digits 1, 2, and 3 appear at most once in each row and column. The gray square contains an even number, 4. Our three purple lines all contain a set of consecutive numbers: 2 and 1, 4 and 3, and 3 and 2.
Deconstructed Suguru: The orange region is a one-cell region containing the digit 1. The green region is a two-cell region containing the digits 1 and 2. The red and blue regions are three-cell regions each containing the digits 1, 2, and 3.
Japanese Sums: Row 1 has exactly two contiguous blocks of digits in the main grid summing to 1 and 2 in that order. Row 2 has exactly two contiguous blocks of digits in the main grid summing to 2 and 4 in that order. Row 3 has exactly one contiguous block of digits in the main grid summing to 4. Row 4 has exactly one contiguous block of digits in the main grid summing to 3. Column 1 has exactly one contiguous block of digits in the main grid summing to 3. Column 2 has exactly two contiguous blocks of digits in the main grid summing to 1 and 3 in that order. Column 3 has exactly two contiguous blocks of digits in the main grid summing to 1 and 2 in that order. Column 4 has exactly two contiguous blocks of digits in the main grid summing to 5 and 1 in that order. Note that for the clues outside the main grid, we have repeated numbers in rows and columns, numbers greater than 3, and these numbers do not belong to regions.
Lösungscode: Ignoring blank cells, enter the digits in Rows 6 and 7 of the main 12x12 grid (left to right, no spaces)
am 13. April 2022, 21:42 Uhr von Bankey
Extremely tough one, but feels good to have finished it. Thanks, @ mathpesto :)
am 29. März 2022, 23:12 Uhr von Bootenks
10/10 beautiful deductions
10/10 hope that you will create more of this xD
Bootenks: Why thank you! -mathpesto
am 25. März 2022, 11:11 Uhr von Christounet
Yay, i did it and it was absolutely great ! Another delightful installment in this impressive serie. How you come up with these intricate yet beautiful constructions is beyond my understanding... Hats off ! And onto the next one...
Thank you so much! -mathpesto
am 11. März 2022, 15:20 Uhr von Krokant
Fun all around. This is such a fantastic series. :)
am 8. März 2022, 17:06 Uhr von matiasv5
Yaaaaay another one of these! Always so good, thank you! 5 stars might be a overstatement, though.
am 8. März 2022, 15:33 Uhr von MagnusJosefsson
Very nice, all of these have been very enjoyable.
am 7. März 2022, 21:01 Uhr von tubahat
I have tried all of these suguru chaos deconstruction puzzles — first one I managed to solve! All of them have been the best ever though and I can't wait for the next one
am 7. März 2022, 20:52 Uhr von pianobarry87
These are quite fun! Thanks!
am 7. März 2022, 19:07 Uhr von Jesper