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Programming Enigma Puzzles

1 February 2017

Posted by on **From New Scientist #1133, 14th December 1978** [link]

(There are no 0’s).

Across:1. Each digit is odd and is greater than the one before.

4. The digits are all different and this is a multiple of the number which is 3 greater than 1 down. Even when reversed.

5. A perfect cube.

Down:1. 17 goes into this.

2. A multiple of 1 down.

3. Each digit is odd and is less than the one before.One clue is incorrect. Which one?

With which digit should each square be filled?

[puzzle82]

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This puzzle is similar to

Puzzle 84, except that one of the clues given is wrong.I wrote code to solve puzzles using the

SubstitutedExpression()solver from theenigma.pylibrary with each one of the clues from the puzzle text deleted in turn.This Python program runs in 71ms.

Solution:The clue for 3 down is incorrect. The completed puzzle is shown below:The clue for 3 down is only “half-wrong” in the sense that the digits are indeed all odd, but if is not the case that each one is less than the preceding digit.