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Programming Enigma Puzzles

25 January 2017

Posted by on **From New Scientist #1134, 21st December 1978** [link]

In the following division sum, some of the digits are missing, and some are replaced by letters. The same letter stands for the same digit wherever it appears.

Find the correct sum.

[puzzle83]

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We can solve this puzzle directly using the [[

`SubstitutedDivision()`

]] solver from theenigma.pylibrary:This run file executes in 183ms.

Or, with a bit more work, we can use the generic alphametic solver [[

`SubstitutedExpression()`

]], also from theenigma.pylibrary, which executes a bit quicker, in 87ms.Solution:The correct division sum is 20304 ÷ 27 = 752.