**From New Scientist #1489, 2nd January 1986** [link]

Your task this week is to find the six three-figure numbers making up this cross-figure:

**Across:**

1. When added to 4 across this give an odd total.

4. My middle digit equals the number of “1”s used altogether in the 3×3 answer.

5. A perfect cube.

**Down:**

2. A factor of the difference between 3 down and 1 down.

3. A perfect square.

Although you have not been given the clue for 1 down, I can tell you that the 3×3 answer is an *un*magic square. In other words, the sums of the digits in each row of three, each column of three and each diagonal of three are all different.

Find the 3×3 answer.

[enigma340]

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This Python program runs in 111ms.

Solution:The completed cross-figure puzzle is shown below:I also coded a declarative solution using the MiniZinc constraint solving language.

It solves the problem in 79ms (using the

mzn-g12fdsolver):