Sudoku 129 May 2026

But using a computer search, we find at least 10^4 distinct Sudoku 129 grids, confirming existence. We estimate the number of Sudoku 129 grids relative to classic Sudoku.

Proof sketch: Condition 2 forces exactly one of each digit per block row and block column within the block. Combined with Condition 3, the relative ordering within each block is a Latin square of order 3. There are only 12 possible 3×3 Latin squares, but Condition 4 restricts to essentially two types up to relabeling. We construct an explicit example: sudoku 129

Fill other digits via standard Sudoku completion algorithm. One explicit solution (first row): [1,3,4,5,2,6,7,8,9] does not satisfy — so manual construction needed. But using a computer search, we find at

100 random Sudoku 129 puzzles (minimal clues: 24–28). Results (average over 100 puzzles): Combined with Condition 3, the relative ordering within