Logic Masters Deutschland e.V.

Diagramless Number Crossword Sudoku

(Published on 18. August 2024, 03:34 by RockyRoer)

The Rules:

  1. [Sudoku]Normal sudoku rules apply - fill every row and column, and 3x3 region with digits from 1 to 9 once each.
  2. [Crossword Shading] Shade some cells such that all shaded cells are 180° rotationally symmetric. (i.e. if R1C3 is shaded, R9C7 must be shaded).
    • All unshaded cells form 'words' which are 2-, 3-, 4-, 5-, 6-, 7-, 8-, or 9-digit numbers. (Note: no single digit words are allowed). "Words" that share a row or column must be separated by at least one shaded cell.
    • Each unshaded cell is part of a word both vertically and horizontally, and each word is assigned an across or down clue following standard crossword clueing rules
      (clues are labeled at the beginnings of each word).
    • All references to clues have been given
      (i.e, there is no valid 4-across clue).
    • Every word must contain at least one of the digits in its clues number somewhere in the answer. So 16A must contain a 1 and/or a 6 in it somewhere.
    • A few other clues have given below the grid.
      For example, 20A = 1A + 5A means that 20 across is equal to the sum of 1A and 5A.

An Example:

I've made a fully solvable 7x7 example if you'd like. Here's a picture of the puzzle, a picture progressing through the solve with the shaded cells, and the final solution.

If you'd like, feel free to read My Solution guide to the 7x7 puzzle. There is some similarity in the solve paths for both puzzles, so if you'd rather not spoiler things, maybe simply try it for yourself on Penpa or using Sven's Sudoku pad

The Puzzle:

Try it using Penpa. I recommend you use 1/4 mode for clue numbers, and L for cell contents.

Alternatively, you could solve it on

Sven's Sudoku pad If you use this, I recommend using the pen tool to highlight across and down answers that need specific digits, and erasing the pen lines as you know those words will contain the correct digits.

Solution code: 15 Down followed by 16 Across


Solved by SPring, nuzzopa, psams, pillowss, jkl, MattYDdraig
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Comments

on 27. August 2024, 16:58 by MattYDdraig
Loved this. So many different considerations, both in building and filling the grid. Genius at work.

Last changed on 19. August 2024, 03:54

on 19. August 2024, 03:50 by psams
Very fun to solve! The beginning was made manageable by the example + solution guide. Working out the implications of each of the arithmetic clues was my favorite part, a bit surprising at times. They also helped resolve an ambiguity in the shading in a nice way. I used Penpa+ for to place the shading and Clue numbers since it has convenient quarter numbering, then solved the digits in SudokuPad, which is quicker for the rest. Thanks for the hard work putting this puzzle together.

Difficulty:4
Rating:N/A
Solved:6 times
Observed:0 times
ID:000JES

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Solution code:

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