Crypto mathematic solutions
5
Solution to the Math Challenge Problem: Extra Cryptic Cryptarithmetic Challenge: Find all bases for which the cryptarithmetic puzzle TOO + TOO = FOR has a unique solution Solution: The winning submission comes again from Josiah Smalley. In the solution (given below), Josiah assumed each letter could be any digit, including 0. Traditionally, the first letter of each “word” in a cryptarithmetic cannot be zero, but this was not stated explicitly in the challenge. If you allow T = 0 as part of the solution, then the only bases which given unique solutions are 4 and 5. If T ≥ 1 is required, this bumps up the bases to 6 and 7.
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Transcript of Crypto mathematic solutions
Solution to the Math Challenge Problem:Extra Cryptic Cryptarithmetic
Challenge: Find all bases for which the cryptarithmetic puzzle TOO + TOO = FOR hasa unique solution
Solution: The winning submission comes again from Josiah Smalley. In the solution (givenbelow), Josiah assumed each letter could be any digit, including 0. Traditionally, the firstletter of each “word” in a cryptarithmetic cannot be zero, but this was not stated explicitlyin the challenge.
If you allow T = 0 as part of the solution, then the only bases which given unique solutionsare 4 and 5. If T ≥ 1 is required, this bumps up the bases to 6 and 7.
