Logic Masters Deutschland e.V.

Step Step Sums Sums

(Published on 24. April 2026, 00:00 by NXTMaster)

This puzzle was directly inspired by The Book Wyrm's Full Full Rank Rank and Sotehr's Step Sums. After having solved FFRR, I wanted to make my own nested puzzle, but no constraints inspired me with ideas until I test-solved Step Sums. This was the result.

The rules are as follows:
  • Inner 9x9 Sudoku: Place the digits 1-9 once in every row, column, and 3x3 box. Digits separated by a kropki must have a difference of 1 and digits on gray squares must be even.
  • Inner Periodic Sums: All 36 cells bordering the Sudoku grid have a number equal to the sum of N and every Nth digit in the row/column moving away from the clue, where N is the first digit seen from the clue. Only digits within the Sudoku grid are taken into account.
  • Outer Periodic Sums: Clues outside the inner periodic sums indicate the sum of N and every Nth digit in the row/column moving away from the clue and including the inner periodic sums, where N is the first digit seen from the clue. Double-digit inner clues are read as two single-digit numbers. Read the tens digit first when reading left to right/top to bottom and the ones digit first when reading right to left/bottom to top.

The puzzle is available on SudokuPad and Penpa (answer check only on digits within the Sudoku grid). Watch your step at the end!

Solution code: The nine digits of Row 7 in the Sudoku grid

Last changed on -

Solved by Sotehr, sanabas, snowbaby, steeto, Zzzzz..., SKORP17, 6rank, marcmees
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Comments

today, 10:51 by 6rank
Wow, only five stars out of five for difficulty. For me it felt even more difficult than that.
Nonetheless I somehow enjoyed the solve :)

on 24. April 2026, 00:12 by Sotehr
It's an absolute honor that my pet constraint was the inspiration to such a wonderful puzzle.

I wish everyone careful counting!

Difficulty:5
Rating:N/A
Solved:8 times
Observed:0 times
ID:000SDJ

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