Logic Masters Deutschland e.V.

The Devilish Double-Tripleblock

(Published on 24. June 2025, 11:08 by Las4one)

Author's note: After solving the excellent Build Your Own Sloop by Piatato and noticing how few tripleblocks there were on the site, I decided to create my own version —— with a twist. Beware of the math!

Solve online (No answer check):   Penpa   Sudokupad

Rules:

  • Shade three cells in every row and column, and fill every unshaded cell with the digits 1-9 in such a way that no digit repeats in a row or a column.
  • The value of a digit is doubled for each edge it shares with a shaded cell. For example, if a 9 is surrounded by 4 shaded cells, its value is 9*2^4=144.
  • The letters written outside of the grid are tripleblock clues. The first number gives the sum of the value of digits between the first and second shaded cell in the row or column, likewise with the second number for the second and third shaded cell. The number is treated as zero if the shaded cells are adjacent.
  • Every distinct letter represents a distinct digit from 0 to 9. A question mark represents any digit, but for a double digit number, the first digit cannot be 0. To clarify, for a single digit number, it can be 0.

Example: Here is a more detailed example. In column 3, the first segment has no digit, so the sum is 0. The second segment 12=3*2^2. In row 5, the first segment 70=7*2^2+8+4*2+1*2+6*2^2 and the second segment 80=5*2^4.

Enjoy!

Solution code: Row 2, using S for shaded cells.


Solved by cyddrdrd, h5663454, steeto, MonsieurTRISTE, Piatato, Tom-dz, psninn, tuturitu, marcmees, Christounet, misko
Full list

Comments

on 17. July 2025, 16:34 by Christounet
Devilish indeed ! But doable once you get the right thoughts about how the math works here. Enjoyed it a lot! Thanks :)

Last changed on 1. July 2025, 04:16

on 1. July 2025, 04:13 by marcmees
Great challenge, for finding the values of each letter, for finding the shaded cells and for finding the sums of each block. Thanks

on 24. June 2025, 14:42 by Piatato
Brilliant puzzle! Very clean and beautiful solvepath!

on 24. June 2025, 11:48 by MonsieurTRISTE
At some point you feel that you have worked it all out, but the author comes up and says “Way to go, buddy!” :)
Very nice puzzle, definitely worth solving.

on 24. June 2025, 11:11 by cyddrdrd
Another masterpiece!

Difficulty:5
Rating:100 %
Solved:11 times
Observed:1 times
ID:000NXH

Puzzle variant Online solving tool

Enter solution

Solution code:

Login