*definition*:

1. A

*board*has:

- any set of placeholders called cells
- any set of cells called regions, each with the same size
- every cell at least in one region

*Latin puzzle*(lower-case p) has:

- a board
- a multiset of symbols with the same size as the regions
- the instruction: Write one symbol on each empty cell so that every region has all symbols in the multiset
- a set of clues: a particular set of pairs (symbol, cell) for some cells
- a solution: the only set of pairs (symbol, cell) amongst those that fulfill the instruction to have the clues as a subset

*Latin Puzzle*(upper-case p) is the set of puzzles that results when we render variable the multiset of symbols and the set of clues in a given puzzle. A Latin Puzzle may have an inscription: a set of pairs (symbol, cell) present in all its derived puzzles

4.

*The Latin Puzzle*(upper-case p) is the set of puzzles that results when we render variable the board, the multiset of symbols and the clues in a given puzzle

With this definition, the Latin square Puzzle, Sudoku Ripeto –which includes classical Sudoku– and Custom Sudoku are all Latin Puzzles.

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