Q:

What are the various types of cryptarithms?

A:

Cryptarithms come in three types: alphametic, digimetic and skeletal division. The main premise of a cryptarithm is that the numbers in some type of arithmetic expression are replaced with something else, and the goal is to figure out the original digits.

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An alphametic cryptarithm is where the digits in the expression are replaced with letters. The first modern alphametic is attributed to Henry Dudeney where SEND+MORE=MONEY has the solution 9567+1085=10652. A digimetic cryptarithm is where the numerical digits are replaced with other numerical digits. Skeletal division cryptarithms are arguably the most complex and are where a long division problem is set up but all or some of the numbers are replaced with symbols, such as asterisks.

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