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Results tagged with sudoku
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user 70385
Sudoku is a puzzle that requires filling a 3x3 grid of 3x3 sub-grids in a way that each column, row and sub-grid contains every digit from 1 to 9.
5
votes
Minimum number of clues to fully specify any sudoku?
The fewest clues required for a proper Sudoku is 17, but not all completed grids can be reduced to a proper 17 clue Sudoku. About 49,000 unique (non-equivalent) Sudokus with 17 clues have been found. … (A proper Sudoku has only one solution).
The most clues in a minimal Sudoku is believed to be 40 (two are known to exist), but it has not been proven if this is the maximum. …
- 129
2
votes
Minimum number of givens for General Sudoku of size $n^2 \times n^2$
One 25 x 25 Sudoku is known to have 328 clues. So from a cursory study, the fewest clues for (n=5) is 328 or fewer (about 52% or fewer cells filled). … Note: this Sudoku was not an attempt to be an example with few clues. I listed it only to provide an initial upper bound. …
- 129