Logic Masters Deutschland e.V.

Lost Sums

(Published on 3. August 2026, 14:48 by greyden)

Lost Sums

Rules:

1. Normal Chaos Construction Sudoku Rules Apply. Place the digits 1-9 once in every row, column and nine-cell region. The location and shape of each region is to be determined.

2. Yellow Cages. Each region contained one yellow cage. The number in the top left corner of a yellow cage is the product of the number of cells in its region that can orthogonally see every cell in the cage and the number of cells in its region that cannot orthogonally see any cells in the cage. Region boundaries block line of sight. Yellow cages with a solid inner border also contain digits that sum to the number in the top left corner of the cage.

3. Blue Cages. Every region has one blue cage. The digits in the blue cage sum to the number in the top left corner of the yellow cage it shares a region with.

4. All cages. No cages regardless of colour crosses a region boundary. Green cages exist solely for this boundary crossing rule.

5. Grey Squares. Cells with a grey square contain even digits.

Solve on Sven's SudokuPad

Please Enjoy!

Solution code: Please enter the digits of column 3 from top to bottom.

Last changed on on 5. August 2026, 07:55

Solved by vollbesonderbar, Mad-Tyas, BeeBoi, sehringdipity, Vodakhan , haoju, marcmees, zakkai, dogfarts, kangaroo, han233ing
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Comments

on 13. August 2026, 00:18 by lindap
I got through the region building no problem but the irregular sudoku on this is just brutal.

on 12. August 2026, 22:36 by lindap
I got through the region building no problem but the irregular sudoku on this is just brutal.

on 4. August 2026, 21:54 by marcmees
Very hard puzzle, probably felt so because of unfamiliar sort of logic. Thanks

Difficulty:5
Rating:N/A
Solved:11 times
Observed:0 times
ID:000U66

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