7x7 Chaos Constructions: X-Sums
(Published on 15. June 2021, 01:30 by SudokuExplorer)
1. Divide the grid into seven regions, each containing seven cells. These regions must be orthogonally connected.
2. Each row, column and region contains the digits 1 to 7.
3. A clue outside the grid indicates that the first X cells in the row/column from that direction are in the same region, where X is the digit in the first cell from that direction. Moreover, the next cell (the (X+1)th cell) is part of a different region.
4. A numerical clue is the sum of the digits in those X cells. If the sum is not given, it is indicated by a question mark (?). Not all outside clues are necessarily given.
Below is a 5x5 example puzzle. You can try it on Penpa+.
Solution code: Enter the 5th column of the first puzzle and the 5th row of the second puzzle.
For each boundary edge within the row/column, enter the capital letter I.
For example, the second row in the 5x5 example is 2I5I431 whilst the third column is 1I4I52I3.
Comments
on 15. March 2024, 17:36 by zrbakhtiar
https://sudokupad.app/11xrc3ptre
https://sudokupad.app/sdp3c2n26z
on 2. August 2021, 03:15 by SudokuExplorer
Fixed labels/tags
on 18. June 2021, 15:31 by SudokuExplorer
@cam: Well, at least you had double the fun! Thanks for returning to it again. You might also enjoy udukos' recent 6x6 puzzle too :-)
@marcmees: You're welcome! I'm glad that you enjoyed them :-)
on 17. June 2021, 23:22 by marcmees
lovely puzzles. thanks
on 17. June 2021, 22:54 by cam
I solved these yesterday and accidentally lost my solution before entering it. So I solved them again today. I have to tell you, it was really fun both times! Thanks for the puzzles.
on 17. June 2021, 21:32 by SudokuExplorer
@Jesper: That's great news! I haven't really spent time thinking about a 9x9 yet. My next puzzle will not be a chaos construction, so do post it whenever you feel it is ready to upload. I look forward to trying it! :-)
on 17. June 2021, 20:58 by Jesper
@SudokuExplorer: I got a bit inspired after solving your puzzles on Tuesday and spontaneously set a 9x9 with this ruleset. I really just wanted to play around with some ideas, but then I got carried away and ended up setting a complete puzzle. I am considering to post it on Logic Masters at some point, but in case you are going to post a 9x9, I will definitely wait until you are done. I don't want to 'hijack' your series or anything :-)
on 16. June 2021, 12:55 by Eloi.blok
Tks for the time creating the puzzle
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And thank you for sparing your time to solve them. I'm glad you enjoyed them :-)
on 16. June 2021, 08:53 by Phistomefel
Very fun puzzles! Thank you, SudokuExplorer!
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Cheers Phistomefel! I'm really pleased you had an enjoyable solve :-)
on 16. June 2021, 02:50 by VykkDraygo
That was excellent. I love this series of puzzles. The ruleset, combined with this grid size, makes for a puzzle that is both approachable, and replete with wonderful logic. Truly superb setting.
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Thanks a lot for the lovely feedback! I'm thrilled that you've enjoyed the logic in them :-)
For more approachable and small-sized chaos constructions, I highly recommend trying some of the easier but creative ones by Hong Weihua uploaded by cdwg2000.
on 15. June 2021, 20:09 by SudokuExplorer
Trimmed solution code to one row/column per puzzle
on 15. June 2021, 19:54 by abed hawila
Wow! Incredible construction. Thank you for the fun ;)
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Thanks a lot Abed! I'm really pleased that you had a fun experience :-)
on 15. June 2021, 18:29 by Crystal Phoenix
I agree with other comments; these are quite fun! Though entering the solution codes is a little tough; I like the idea of including the I, but I worry each time that I'm going to misplace one and have a hard time spotting where in a code of 30+ characters.
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I'm really pleased you enjoyed the puzzles! I was a little worried about the length of the solution code (which is why I added the tip below). I will likely trim the solution code to one row/column per puzzle, so thanks for that input. :-)
on 15. June 2021, 17:49 by Jesper
Really enjoyable logic to determine the regions.
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It was a lot of fun to set the region-forming logic too, thanks! :-)
on 15. June 2021, 12:28 by udukos
Lovely puzzles! It would be nice to see a 9x9 grid with this idea.
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Thanks a lot udukos! I will give it a crack and hopefully one will appear in the near future. :-)
on 15. June 2021, 07:32 by William Cheese
Cool puzzle. Can you make more of this type?
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I'm thrilled you are enjoying these puzzles! I will definitely try to set more chaos constructions, whether it be a different ruleset or a 9x9 (if possible). :-)
on 15. June 2021, 04:19 by Playmaker6174
Again, very nice constructions of the clues :)
While the first puzzle is a easy start, the second one requires more thinking and deductions than I thought but still a very nice one indeed.
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Thanks a lot Playmaker6174! The main focus when setting them was finding which location of a clue will form a decent restriction on the regions. It took a while to make them unique, but it was a rewarding process :-)
on 15. June 2021, 03:15 by cdwg2000
Very nice,As good as before, thank you for sharing!
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Thanks for giving them a go, I'm really pleased you enjoyed them as much as the last time :-)
on 15. June 2021, 01:13 by SudokuExplorer
One tip whilst entering the solution code is to add spaces between each row/column. Note that spaces automatically get removed during the submission process.
