Logic Masters Deutschland e.V.

Rank X-Sums

(Published on 5. September 2025, 22:30 by damo_89)

The power of rank clues were so beautifully demonstrated by the_cogito's Stinky Stuffing (if you haven't already, do solve this). This encouraged me to finish off a puzzle idea I had been mulling where X-Sums were provided not as values but as rank clues, and I liked the logic. Consensus testing estimate was 3 to 4 stars difficulty, I am plumping for 4 stars because ranks. Good luck!

  • Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column, and 3x3 box
  • Diagonal: The positive diagonal, marked with a blue line, contains a set of digits 1 to 9
  • Rank X-Sums: Each row or column has an X-Sum value, which is the sum of the first X digits in that row or column, where X is the digit in the first cell. Clues outside the grid give the rank of those values from 1 (lowest) to 36 (highest). Two rows/columns with the same X-Sum value will share the lowest rank
  • (For example if the lowest X-Sum values were in order: 1, 4, 4, 4, 7, 7, 9 then these would have the clues 1, 2, 2, 2, 5, 5, 7 respectively)

Play on Sudokupad / Play on Sudokupad (version with area for note taking)

Download full solution guide (PDF)

Solution code: Row 8


Solved by aqjhs, lmdemasi, jhrdina, Flinty, ThePedallingPianist, the_cogito, Ratfinkz, Andrewsarchus, gdc, blueberrypug, marcmees, Piatato, Fool on Hill, Snookerfan, annnz, Agent, oskode, SKORP17, bansalsaab, AAAAAAAAAAAAAAAAAAA, Elker, MattYDdraig, Christounet, asimov.io, Danno, Malakree, zonka
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Comments

on 15. September 2025, 23:14 by Danno
Very good puzzle! Was a little confusing to begin with but soon got into the swing of it.

on 8. September 2025, 16:44 by asimov.io
Very good and hard puzzle
A brilliantly made tribute to Stinky Stuffing

on 8. September 2025, 01:01 by Christounet
Great! I got stuck at some point because I forgot the part of the rule that said "share the lowest rank" after the midsolve.
Thanks :)

on 7. September 2025, 23:36 by MattYDdraig
Really nice puzzle. Surprisingly few clues yet somehow very accessible.

on 7. September 2025, 00:30 by Elker
Very tricky puzzle and lots of fun. Thanks for setting.

on 6. September 2025, 16:56 by bansalsaab
Beautiful puzzle.

on 6. September 2025, 13:05 by Agent
Cool full rank variant, and precisely set!

on 6. September 2025, 12:21 by Snookerfan
Excellent puzzle! Very interesting and sometimes confusing logic. Thank you

on 6. September 2025, 10:03 by Piatato
Awesome puzzle, thanks!

on 6. September 2025, 09:12 by marcmees
Very powerful Full Rank variant. Thanks

on 6. September 2025, 00:02 by the_cogito
A lovely tribute and solve, nicely done!

on 5. September 2025, 23:54 by jhrdina
Very interesting logic. Thanks

on 5. September 2025, 22:46 by lmdemasi
This is a good puzzle.

Difficulty:4
Rating:92 %
Solved:27 times
Observed:2 times
ID:000OTF

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