Castle Wall/Cave #2
(Published on 28. May 2021, 10:02 by MagnusJosefsson)
Rules
Blacken some cells such that all white cells are orthogonally connected and all black cells are orthogonally connected to the border.
Also draw a single closed loop through some of the white cells without the loop crossing itself.
Each number clue in a white cell indicates how many cells can be seen from that position, where you can see only horizontally and vertically and the view is limited by the next black cell or the border. The cell with the number itself is included in the count.
Each number clue in a black cell shows the sum of the number of times the loop crosses a cell border in all four directions starting at the cell (i.e. the number of vertical steps the loop takes in the column the cell is in plus the number of horizontal steps the loop takes in the row the cell is in).
Example:
The puzzle:
Link for solving online:
Penpa+ (Use dark grey shading and green lines for solution check to work)
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Solution code: Contents of row 9 followed by column 2. Use "I" for a cell with a straight loop segment, "L" for a cell with a turn of the loop, "W" for a white cell without a loop and "B" for a black cell.
For the example puzzle (row 4/column 1), the code would be ILLBBBLIIILB.
Comments
on 15. February 2024, 22:01 by Christounet
Superb puzzle again ! It did not feel that harder after solving the first one, just longer, and the connectivity logic really benefits from a bigger grid size here. That opening logic is so well crafted, with all the clues playing a double role. Thanks a lot :)
on 6. February 2024, 05:33 by Gliperal
What a magnificent hybrid. Some spectacular interplay between the two rules that I would have not expected at first.
on 19. October 2023, 21:04 by StephenR
What an epic. I broke this twice, left it a while before coming back and finally conquering its mighty peak. Incredible stuff Magnus.
on 23. September 2023, 00:36 by lerroyy
Really good puzzle!
https://tinyurl.com/4h8sc9vy sudokupad
https://tinyurl.com/23wdkysp
penpa+
on 15. January 2023, 00:33 by Myxo
Amazing puzzle, one of the best I have solved!
on 27. December 2022, 00:27 by Agent
Solving this puzzle was a colossal task, to say the least! It was hard to believe at first that any of these numbers could be restricted in such a big grid, but there was always just enough information to make progress. Thanks Magnus for another great puzzle!
on 12. November 2022, 19:16 by Niverio
Amazing once again. Took me forever to complete, but it was SO SATISFYING! Another masterpiece!
on 15. September 2022, 20:39 by KNT
exceeded all expectations. thank you so much
on 18. January 2022, 00:21 by horanayru
Absolutely stunning and elegant. This puzzle never broke until it was finally finished. Just a constant stream of beautiful logic from start to finish.
Thank you so much for this puzzle and the first one.
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You're welcome! Thanks for solving, I'm really glad you liked it! :) /Magnus
on 6. October 2021, 01:11 by uvo_mod
Label "Online Solving Tool" ergänzt.
on 28. August 2021, 21:59 by Vebby
Wow, another brilliant puzzle! I made a little mistake on the first try which got me stuck for a while; upon redoing the puzzle and correcting the error the solution flowed rather smoothly. Extremely fun and interesting puzzle type. Thanks to Aspartagcus for recommending this puzzle and to Magnus for setting it :)
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Thank you Vebby for your nice words! :) /Magnus
on 8. June 2021, 18:17 by Mark Sweep
What a puzzle! This was a ton of fun to solve all the way through. It flows smoothly and it is a joy to find every step of the narrow solution path.
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Thank you Mark! I'm really glad you liked it :)./Magnus
on 4. June 2021, 06:55 by cdwg2000
Very exquisite masterpiece, thank you!
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You're welcome cdwg2000! Thank you for solving and thank you for you kind words! /Magnus
on 4. June 2021, 06:01 by PixelPlucker
Amazing - this is the kind of puzzle which just relentlessly gives and gives. While there aren't any prohibitively hard steps, it's exploding with intricate yet fair logic at every minuscule turn. There's such a fantastic variety of deductions enabled by combining these two rulesets. It's the kind of puzzle you can cozy up with, sink your teeth into, and forget the passage of time. I truly aspire to be able to set like this someday. Thank you! :)
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Wow, thank you so much for this wonderful praise, PixelPlucker! Feedback like this truly warms my heart and motivates me to set more puzzles in the future :). /Magnus
on 3. June 2021, 12:09 by MagnusJosefsson
Clarified the solution code example for the example puzzle.
on 3. June 2021, 11:47 by cdwg2000
For the example puzzle, the code is Row4 and Column1?
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Yes, exactly. Sorry about that, I copied the example from the previous puzzle and forgot that the rows and columns for the solution codes were different :). /Magnus
on 2. June 2021, 09:37 by Statistica
Sehr schön. Vielen Dank! /// Danke schön :) /Magnus
on 30. May 2021, 01:22 by Aspartagcus
What a ride! This puzzle took me ages, and is probably the puzzle I've used the line helper the most in. But it was such an enjoyable solve! I loved the constant switching between the two puzzles types, and that every clue gave you just enough info to get you a little bit forward in the solve. Well done!
(Somehow, the answer check didn't work, though)
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Thank you Aspartagcus, I'm really glad you liked it!
I like to use Composite->Loop->"Line or x" in Penpa for most loop puzzles, it lets you places lines normally and x's by right clicking. Very strange about the answer check, not sure why it didn't work for you. /Magnus
on 28. May 2021, 20:06 by Jesper
I really enjoyed test solving this one. The logic is just as fun and elegant as #1, but the scale of the undertaking makes finishing the solve so much more satisfying.
on 27. May 2021, 23:19 by MagnusJosefsson
This is a larger and harder follow-up to my previous puzzle of similar name. For the smoothest experience, I would definitely recommend solving the original puzzle prior to attempting this one.
Please don't hesitate to post a hidden comment if you get stuck or have difficulties. I'll try to help out with a minimal hint of where to look next.
Good luck and I hope you enjoy the puzzle!
