What is consecutive and non-consecutive sudoku?
As the name implies, these puzzles contain extra regions that denote cells which are consecutive or non-consecutive.
In the consecutive version of the puzzle, therefore, if the cell next to a '2' is marked as consecutive with it, that cell must contain 1 or 3. However, in non-consecutive the opposite is true: it must contain anything OTHER than 1 or 3.
In this way it can be seen that the consecutive form of the puzzle gives you a lot more information than then non-consecutive one, and indeed puzzles with very few givens can be created as a result.
However, with the non-consecutive puzzle many more regions can be defined, and indeed entire sudoku puzzles can be created where all cells are non-consecutive with all their neighbours, and these can even wrap around the edges of the puzzle!
You can play a fully non-consecutive sudoku at that link.
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