Other Information
When generalized to arbitrary bases, the problem of determining if a cryptarithm has a solution is NP-complete. (The generalization is necessary for the hardness result because in base 10, there are only 10! possible assignments of digits to letters, and these can be checked against the puzzle in linear time.)
Alphametics can be combined with other number puzzles such as Sudoku and Kakuro to create cryptic Sudoku and Kakuro.
Read more about this topic: Verbal Arithmetic
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