Japanese Sums #2: Killer Cages Fillomino
(Published on 3. March 2023, 14:29 by lerroyy)
This is my second Japanese sums puzzle and my first fillomino. I hope you'll enjoy it!
Normal Fillomino rules apply for the 10x10 grid.
Yin yang: Shade the 10x10 grid and the whole row and column above and left to it (until the thin edge) using two colours, such that all instances of each colour are orthogonally connected, and no 2x2 area is completely one colour. (the 2 given cells are unshaded)
A fillomino is either completely shaded or completely unshaded.
Outside clues are Japanese sum clues. "?" is a stand in for any digit 0-9, but for a double digit number, the first digit may not be 0. An outside clue can not be 0.
The colour that a cell has in the outside row or column indicates that the Japanese sums of that row or column will be for the cells of the same colour than the cell outside the grid. (if r1c0 is green, then the js in r1 will be for the green cells)
Outside the grid, "..." denotes an arbitrary number of Japanese sum clues. This could be zero, one, or multiple.
In cages numbers must sum to the clue in the top left corner and numbers may not repeat. (You can have 2 digit numbers that have a digit in common, a cage with 33 is valid, a cage with a 2 and 25 is also valid). Odd means that the sum of the numbers in it is odd. Even means that the sum of the numbers in it is even. A jsum cage with no value can have any value but can not be 0.
Solve on penpa+Solution code: row 5 of the 10x10 grid
Comments
on 5. November 2023, 02:02 by Piatato
Awesome puzzle, with such a great ruleset! Looking forward to taking on that large one!
on 11. June 2023, 13:54 by Christounet
Very hard puzzle, but an amazing journey for me ! I had trouble remembering that R0 and C0 were part of the yin yang at some points, and it cost me some time and rewinding. I'm really eager to see the #3 !
on 29. March 2023, 08:21 by Statistica
Ganz großartig, schöner Einstieg und ein paar raffinierte Ecken.
on 6. March 2023, 20:22 by JayForty
Tough but rewarding all the way to the very end. Thanks!
on 5. March 2023, 21:31 by kjholt
I can NOT believe I managed to solve that, but I'm so glad I did. Very beautiful and tricky puzzle.
on 5. March 2023, 15:27 by lerroyy
added tag yin and yang
on 4. March 2023, 02:07 by kjholt
So you only have to color row 0 up to column 8? Or is the thin line supposed to continue to the right of that?
No, you have to shade until c10. For some reason I only drew the line until c8. sry
on 3. March 2023, 20:22 by Jesper
There is some really wonderful logic in this puzzle.
on 3. March 2023, 17:17 by Playmaker6174
Really gorgeous and challenging puzzle for me! I’m not really a fillomino expert so surely I stumbled upon bunch of spots that I should’ve done much faster, but this was a very consistently beautiful puzzle till the very end ;)
on 3. March 2023, 15:20 by ONeill
Brilliant! The second half resolves beautifully :)
on 3. March 2023, 14:39 by Myxo
Cool puzzle, very intricate solve path!
