Kropki'd X-sums sudoku
(Published on 3. November 2020, 02:50 by Nylimb)
This is an X-sums sudoku puzzle, but the X-sums aren't shown. Instead, all of the kropki relations between adjacent X-sums are given.
Fill the 9x9 grid with digits from 1 to 9 so that every row, column, and 3x3 box contains each digit exactly once.
Also fill the grey spaces outside the grid with numbers in the range from 1 to 45, so that the number at an end of a row or column is the sum of the first X digits from that direction, where X is the first digit in the row or column from that direction.
A white dot between 2 grey spaces means that the difference between the numbers in those spaces is 1. A black dot means that their quotient is 2. All possible dots between the grey spaces are given. (Dots are not shown within the grid, even if adjacent cells have difference 1 or quotient 2.)
The puzzle is available on Penpa.
Solution code: Row 4 and row 5.
Comments
on 14. June 2022, 05:40 by Vebby
Fantastic! Very enjoyable.
on 12. May 2021, 23:17 by RockyRoer
Love how everything comes clearly out of a lack of digits. Very nice.
on 30. November 2020, 19:29 by Bankey
What a beautiful puzzle, Nylimb !! Enjoyed solving, thanks. This is very fit to be taken up by Simon on CTC !! Kudos for a genius construction.
@Bankey: Thanks! Maybe I'll suggest it for CtC.
on 5. November 2020, 00:57 by cam
One nice hard.
on 3. November 2020, 20:42 by marcmees
Hard nice one.
on 3. November 2020, 16:41 by cdwg2000
Nice hard one.
