![]() ![]() In the last step, the actual backtracking part, patterns from these sets are tried to be combined or overlayed in a non-conflicting way until the one permissible combination is hit upon. Then every given symbol gets assigned a filtered set with those patterns, which are in accordance with the given clues. In manual sudoku solving this technique is referred to as pattern overlay or using templates and is confined to filling in the last values only.Ī library with all the possible patterns may get loaded or created at program start. Ī different approach which also uses backtracking, draws from the fact that in the solution to a standard sudoku the distribution for every individual symbol (value) must be one of only 46656 patterns. ![]() One programmer reported that such an algorithm may typically require as few as 15,000 cycles, or as many as 900,000 cycles to solve a Sudoku, each cycle being the change in position of a "pointer" as it moves through the cells of a Sudoku. The disadvantage of this method is that the solving time may be slow compared to algorithms modeled after deductive methods.
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