Japanese Sums #1: Killer Cages
(Published on 15. February 2023, 19:52 by lerroyy)
This my first non sudoku puzzle and it is a very hard puzzle, but has a logical solve path which I hope you'll find and enjoy
Place the numbers 1 to 9 in every row and column of the 9x9 grid and no digit can repeat in a row or column.
Yin yang: Shade the 9x9 grid and the 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.
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.
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. A jsum cage with no value means, it can be a 1 digit number or 2 digit number.
Solve on penpa+
.Solution code: row 9 and column 8
Comments
on 21. May 2023, 00:05 by Christounet
What an amazing journey ! This one took me quite some time in the midsolve with some very tricky deductions, but the way it suddenly unlocked felt very satisfying. Loved the yin-yang building throughout the solve. Thanks !!
on 30. March 2023, 11:45 by Piatato
Very elegant opening, and some brutal, yet very interesting deduction in the midsolve. I really enjoyed the ending, which had a great variety of cool little deductions. :-)
on 27. February 2023, 07:50 by Statistica
Nice idea and very hard :-)
on 18. February 2023, 21:56 by Myxo
Very tough and rewarding. Great puzzle!
on 15. February 2023, 21:52 by Playmaker6174
Insane and mindblowing puzzle, the solve felt really tight for me and I was just so slow at so many points but I'm glad that I managed to get some of the elegant spots. Now I need some cool water to chill my mind down x)
on 15. February 2023, 20:37 by ONeill
A fantastic non-sudoku debut. Definitely a long and difficult puzzle, but really enjoyable nonetheless :)
