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Solving a cryptarithm by hand usually involves a mix of deductions and exhaustive tests of possibilities.
When generalized to arbitrary bases, the problem of determining if a cryptarithm has a solution is NP-complete.
Verbal arithmetic, also known as alphametics, cryptarithmetic, crypt-arithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters.
