1K Sums
(Published on 20. April 2022, 02:41 by mathpesto)
This puzzle is for an upcoming stream to celebrate zetamath reaching 1,000 subscribers on YouTube! This ruleset is longer than I usually aim for, but if you've done Japanese Sums and one of my previous puzzles in the Suguru Chaos Deconstruction series before, it's not too hard to understand. I'd recommend looking at the mini-example for SCD #4, which has a similar ruleset to this one. If you'd like any hints, feel free to post a hidden comment below or message me on Discord. Thanks to Changeable and ClashCode for testing the puzzle! Comments and ratings are much appreciated, and please be sure to check out my other puzzles here.
Rules:
Deconstructed Suguru: Fill some cells in the main 11x11 grid with the digits 1–9 such that no digit repeats in a row or column. Cells with part of a line must have a number in them. 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.
Lines: (Standard renban, German whispers, and region sums rules.) A purple line contains a set of non-repeating, consecutive numbers. Adjacent numbers on a green line must differ by at least 5. Each blue line is in at least two regions, and digits must have the same sum for each region the line is in.
Japanese Sums: Outside the 11x11 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 clue. Blocks must be separated by at least one empty cell. The amount of clues for a 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.
Solve on Penpa+ (thanks Vebby!)
Puzzle:
Solution code: Ignoring blank cells, enter the digits in Columns 1, 2, and 3 of the main 11x11 grid (top to bottom, no spaces)
Comments
on 8. October 2023, 19:51 by StephenR
Tricky but fun. Pity I couldn't solve it in exactly 100 minutes.
on 3. January 2023, 09:15 by KNT
lovely puzzle, thanks :)
on 2. January 2023, 23:16 by mathpesto
Added penpa+ link
on 4. May 2022, 15:04 by Luigi
Thank you for the explanation!
Great puzzle construction!
on 4. May 2022, 12:51 by Luigi
"digits must have the same sum for each region the line is in":
Could you explain this rule with an example?
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Luigi: Suppose R7C4 and R7C5 are in a region together while R6C6, R6C7, and R6C8 are in another region together. All five cells are on the blue line, so R7C4 + R7C5 has the same sum as R6C6 + R6C7 + R6C8. So, for example, R7C4 and R7C5 could be 7 and 8 while R6C6, R6C7, and R6C8 could be 1, 5, and 9, since 7 + 8 = 15 as does 1 + 5 + 9. Hope that clarifies! -mathpesto
on 26. April 2022, 22:52 by Bankey
Another one that doesn't let one let go of it!! Total brain melt, but in the end worth it. Thanks, @ mathpesto:)
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Thanks as always! -mathpesto
on 26. April 2022, 09:29 by Christounet
Another nice puzzle in this great serie ! And very esthetic too ! I love the way the design slowly reveals itself like in a true jigsaw puzzle.
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Thank you! -mathpesto
on 24. April 2022, 16:44 by mathpesto
Updated links
on 21. April 2022, 15:24 by Tilberg
Agree with robals, very tough ending with some really hard-won deductions. Thanks!
on 21. April 2022, 10:45 by robals
Very fun! Very nice start. Got stuck near the end to define the last regions, but in the end managed to find it. Thanks for puzzles
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Thanks robals! -mathpesto
on 20. April 2022, 22:40 by Elliott810
Another stunning puzzle of the suguru-series! Perhaps it's just the experience, but I think this has "only" difficulty 4/5. Again: really impressive work! Thanks for sharing:)
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@Elliott810: Thank you so much! -mathpesto
