A Hundred Cells of Chaos
(Published on 1. August 2023, 01:49 by Big Tiger)
Place the digits 0-9 in every row, column, and region of the 10x10 grid. Regions must be determined.
Regions may branch; but may not contain 2x2 areas, and do not touch themselves.
Killer Cages: Digits in cages must sum to the total in the top-left corner, and may not repeat digits within a cage. Each cage is located entirely within a region; it does not cross boundaries into another region.
Arrow Sums: Digits on the arrow must sum to the digit in the circle. For each arrow sum, all cells used (circle and arrow) are in separate regions. No individual arrow clue enters the same region twice.
Diamonds: A digit in a diamond cell indicates the number of cells (including itself) in that same region that are visible in all four orthogonal directions before crossing boundaries into another region.
And in case anyone's wondering, zeros are perfectly ordinary zeroes, with a value of ... zero.
* For solving on F-Puzzles, the zero key will reveal "10" on the grid; think of it as a zero on the grid and in the solution code. Turn off the Highlight Conflicts option to solve.
Solution code: Row 7 then Column 10 (20 digits, not 18!)
Comments
on 30. October 2023, 16:46 by codewizard
Brilliant. Thanks! :-)
on 6. September 2023, 06:45 by orsonwu840
Hi, question about the diamond clue:
If: in a 4x4 box there are 2 regions
Region A occupies r1c1, r2c1, r3c1, r4c1, r4c2, r4c3, r3c3 and r2c3, and other areas are occupied by Region B, if r2c2 is a diamond clue, does that mean that diamond clue is 2?
on 5. August 2023, 18:59 by KNT
that was fun, thanks!
on 5. August 2023, 02:33 by Big Tiger
Wording in instructions
on 4. August 2023, 09:18 by Big Tiger
Thank you to everyone who got us to a Red-Star rating. I didn't really "choose" 3 stars at first, I just had no idea where to put it. I'm glad you have all enjoyed the challenge!
on 3. August 2023, 21:01 by GarageDoorOpener
I had a lot of fun with this puzzle but it felt way more like a 4* than 3*. The logic was really fun to figure out
on 2. August 2023, 15:58 by marcmees
Very nice ... but I agree with snookerfan that it was much harder than 3 *'s. (probably because I didn't notice the 2x2 rule until now :-))
thanks
on 1. August 2023, 21:01 by Snookerfan
Great puzzle! Way harder than 3 stars in my opinion. Thank you for this beauty!
on 1. August 2023, 19:01 by kamkam
Got a question, is every cage a part of its own region or two cages could be in the same region and thus one region wouldn't have any killer cage?
BT: The only requirement on cages is that each cage is entirely within a region. There may be multiple cages within a region, or none in a region.
on 1. August 2023, 12:43 by dennischen
This is a beautiful puzzle with really subtle bounding and region geometry arguments.
on 1. August 2023, 07:06 by dennischen
What does "regions do not touch themselves" mean?
BT: In addition to not having a 2x2 area, a region cannot circle around and border itself in any other way - orthogonally or diagonally.
Oh, got it --- so it's like a snake rule.
on 1. August 2023, 05:13 by ThithildeProuv
Nice construction puzzle! I really enjoyed it!
Just maybe the wording in the rules could be more precise: in the diamond definition, add that the cell is included in the count; in the region description, I'd remove the "single-width" because it made me assume at first that it's a snake without branching and the no 2x2 says it already.
Otherwise, I really liked it
