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Programming Enigma Puzzles

6 September 2015

Posted by on **From New Scientist #1456, 16th May 1985** [link]

In this puzzle, digits are replaced by letters. Each letter stands for a different digit, and the same letter stands for the same digit throughout.

I’ve just been practising for tomorrow’s darts tournament. I was trying for a grand total of 201, starting and finishing with a double. In my first go, I got a double A, treble BC and a single D, leaving a total of BGJ to get. In my next go, I got treble BE, treble F and double BG, leaving HB to get. My final go gave me a double H, treble I and a neat double BA to finish.

The total for my last three darts was less than the total for the previous three, which was less than the total for the first three: I hope that this deterioration does not continue tomorrow!

What, in order, are the digits for ABCDEFGHIJ?

[enigma308]

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This Python program runs in 39ms.

Solution:A=7, B=1, C=8, D=9, E=0, F=3, G=2, H=6, I=5, J=4.The total scores in the three throws are: 77, 63, 61.

I used MiniZinc for solving this enigma.