Position Sums mit Kropki-Paaren
(Published on 8. February 2021, 15:41 by glum_hippo)
Fill the grid with digits 1 to 9 so that each row, column and 3x3 box contains each digit exactly once.
Digits in the first and second cell from the top and from the left are A and B. Clues outside the grid tell something about A and B: The clue closest to the grid gives the sum of A and B. The sum of the digits on positions A and B from that side is given in the clue in the grey bar.
EXAMPLE: the digits sequence 841627935 have A=8 and B=4, so A+B will be 12, and the sum of the 8th and the 4th (Ath plus Bth) digit is 3+6 = 9.
A hollow circle indicates consecutive values, a filled circle indicates a ratio of 1:2 between values. The digits 1 & 2 may be separated by either a hollow or a filled circle. Not all circles are shown.
The puzzle can be solved in Penpa+ here.
SudokuPad version.
Solution code: The digits of row 8 inside the grid, then column 9 (18 digits total, without the clue cell contents)
Comments
on 31. December 2024, 01:29 by Bankey
Fun puzzle. Thanks, @ glum_hippo :).
on 26. December 2024, 06:23 by Richard
Very cool puzzle with a very smart opening and some very nice deductions. Well done!
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Very kind of you to say! I think this is the more approachable of my three Position Sums hybrids from that time. I was planning ones with Average Arrows and Killer cages as well but never got around to it. Maybe in 2025!
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You are welcome Philipp!
Yes, this is for sure the most approachable one, but still 5 stars (two times).
For the arrows I had to dig really deep and the renban is still on top of my pile of unsolved ones, with only a few notes on the digits in box 1. But no serious progress yet. Maybe in 2025 too. :-)
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Overall, I believe the renban one is easier than the (conventional) arrow one, but not by much. Hope you have an excellent new year!
on 20. September 2024, 15:45 by glum_hippo
Added new solve links.
on 17. February 2022, 00:47 by Vebby
So much fun once the ball gets rolling! :D
——Thank you for solving it! :)
on 29. July 2021, 22:14 by ffricke
Super schöner Einstieg und dann läuft es einfach
on 9. February 2021, 00:30 by Jesper
Excellent! Flows nicely once you find the way.
on 8. February 2021, 23:07 by marcmees
nice and challenging. thanks
on 8. February 2021, 19:53 by henrypijames
Hard to believe I actually found the solution path. The entry is really well hidden.
— for better or worse, I tried to keep kropki inside the sudoku grid, unattached to the edges, to a minimum. More constructions are surely possible. g_h
on 8. February 2021, 18:57 by glum_hippo
Freut mich, Realshaggy - hat auch beim Setzen Spaß gemacht!
on 8. February 2021, 18:51 by Realshaggy
Das hat Spaß gemacht :-)
