Logic Masters Deutschland e.V.

Clockwork (Sum-Product Frame Sudoku)

(Published on 16. December 2025, 21:19 by Qodec)

Richard Stolk's Easy Peasy Sudoku Advent (04) - Sum or Product Frame gave me an idea. This one is quite a bit harder though.

  • Sudoku: Each row, column, and region indicated by thick borders in the grid must contain the digits 1 to 9 once each.
  • Sum or Product Frame: Clues outside the grid indicate either the product or the sum of the first three digits in the corresponding direction. Example: a clue of 8 could be 1+2+5, 1+3+4, or 1*2*4.
  • Palindromes: The digits in both tips of a grey line are equal.

You can play this puzzle online using Sudokupad: https://sudokupad.app/3qk3h8h1yt, or Penpa+: https://tinyurl.com/y7248aj2.

Solution code: Column 8. I.e. the 9 digits in column 8 from top to bottom, for example: 123456789


Solved by SKORP17, henter, Piatato, tuturitu, Bjd, mateo99, mihel111, gfoot, bansalsaab, v8nagrom, Exigus, Soya, pseudospin, tangobunni, Mr. Happy, smckinley, gaihou, dipiz, SirWoezel, Krisonium, kevinlimanta, flutchman, SEPHEN, h5663454, TrollErgoSum, BlazingSnow, han233ing, Djirt, pazqo, Playmaker6174, kdwji, widjo, BloodbuzzCorio, Jesper, feverlute, Norkas, Bellsita
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Comments

on 1. January 2026, 22:52 by Norkas
Exellent. Tough break in, but what follows is well worth it.

on 23. December 2025, 09:37 by Playmaker6174
Wow. That might be one of the coolest intricate puzzles that I've ever had the pleasure of solving.
An incredibly engaging first half with a rather surprising breakthrough in the middle, and it's crazy how it resolved so cleanly afterwards.

on 20. December 2025, 13:56 by Djirt
Спасибо, Qodec! Замечательная головоломка!

on 19. December 2025, 09:22 by flutchman
Classic Qodec. Very hard, but beautifully symmetric and minimalistic setting.
I never had the feeling I fully grasped what was going on, but inch by inch still managed to solve it.
Thanks a lot.

on 18. December 2025, 00:44 by Exigus
Quite hard but also very satisfying. Thanks!

on 17. December 2025, 23:56 by v8nagrom
There's no way this works but it is.
Phenomenal!
Thanks!

on 17. December 2025, 06:08 by mihel111
Beautiful symetry. Great Break-in. Nice path. A piece of art.

on 17. December 2025, 04:18 by mateo99
Great break-in! Quite hard to spot but very rewarding once you see it. Nice puzzle!

on 16. December 2025, 23:59 by Piatato
Very nice! Incredibly tight path - hard to understand what to do at times, but then it's so satisfying to eventually figure everything out!

on 16. December 2025, 22:02 by henter
Lovely construction. Great how everything falls into place.

Difficulty:5
Rating:98 %
Solved:37 times
Observed:2 times
ID:000QKW

Variant combination Online solving tool

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Solution code:

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