Product Sum Yin Yang
(Published on 17. June 2025, 04:10 by Scojo)
Rules:
- Normal sudoku rules apply: Place the digits 1-9 once each in every row, column, and 3x3 box.
- Yin Yang: Shade some cells so that all shaded cells are orthogonally connected and all unshaded cells are also orthogonally connected. No 2x2 area may be fully shaded or unshaded.
- Product Sum Lines: Digits may not repeat on a line. On each line, the product of the shaded cells must be equal to the sum of the unshaded cells, and if a tag is attached to the line, they must both be equal to the number on the tag. Differently colored lines are purely cosmetic.
Solve in SudokuPad
Solution code: Shaded digits in row 7, left to right
Solved by Bjd, Dentones, zeniko, Golden_Feather, karlmortenlunna, SKORP17, giladooshlon, wenchang, wuc, BevG, mathpesto, flyjim, smckinley, Mr. Happy, Hunsar, Isael, henrypijames, tnop62830, QuintusScaevola, aqjhs, mayiyang, bansalsaab, DragonEgg, marcmees, Franjo, Justalilguy, steeto, PhysicistFromFunen, mse326, peacherwu2, Zeld1, feverlute, Firmus, Sotehr, Mennoo_, mikepautov, Brodie2000, Blake Saligia
Comments
on 19. June 2025, 19:29 by Franjo
I broke this puzzle several times until - well, until now! Thank you very much for creating and sharing this somewhat frustrating masterpiece. What a fantastic construction!
on 19. June 2025, 17:14 by marcmees
Very hard but satisfying solve. Thanks
on 18. June 2025, 23:26 by aqjhs
this is my 500th solve :D
Last changed on 17. June 2025, 21:22
on 17. June 2025, 21:21 by wuc
Uhm Im a math phd but had to write python snippets to find the set decompositions... maybe a missed sth. But it did make it a very special puzzle. I loved every minute. But most importanly this it an amazingly clever construction. Awesome setting thx.
