Sunday Times Teaser 2938 – Numerophobia
by Danny Roth
Published January 13 2019 (link)
In Letterland there are no numerals. They use the decimal system of counting just like we do but the digits 0-9 are represented by the first ten letters of the alphabet A-J inclusive but in no particular order. The following calculations are typical:
(1) A + G = C
(2) B x J = FH
(3) GE x AI = HDB
What number is represented by ABCDEFGHIJ?
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A straightforward permutation based solution can be written in a few minutes and runs in less than a second:
but a little bit of work gives a solution that runs in 4 milliseconds on my Skylake laptop: