Wow, I'm impressed about your ability to find that fast a very good solution. I don't know the perfect value. But 84860km seems to be a very short distance for the 24 places.

Of course I want to try to write my own code. But it would be interesting for me which algorithm you used. Until now I did not have success with the Graph module. See Re^3: Travelling problem

Now I'll try the minimal hamilton path.

I'm using a genetic algorithm (based loosely on Re^15: Divide array of integers into most similar value halves (Updated)), it gets close very quickly, but has no guarantee to ever find the best. Nor any guarantees about the quality of what it does find. (Nor even any criteria by which to judge that.)

It took less than a minute to find 86850, but much, much longer to refine that to 84860.

I threw the implementation I've been using together late last night and it is pretty crude and messy. Once I've cleaned it up I'll post it.

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With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority".

In the absence of evidence, opinion is indistinguishable from prejudice.

Ignore this!. Programmer error! There are better solutions than 84860:

83907: 0 1 10 15 6 11 7 2 18 19 17 14 4 21 9 13 22 8 3 12 5 20 16
83666: 0 1 10 15 6 11 7 2 18 19 17 14 21 9 4 13 22 8 3 12 5 20 16
83633: 0 1 10 15 6 11 7 2 18 19 17 14 21 4 9 13 22 8 3 12 5 20 16
82991: 0 1 10 15 6 11 7 2 18 19 17 4 14 21 9 13 22 8 3 12 5 20 16
[download]

No, your lists only contain 23 items

Indeed. As noted in Ignore this! (I was forgetting to add the last distance :( )which yields several better than 84860 scores in just a few minutes:

I'll update above also.

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With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority".

In the absence of evidence, opinion is indistinguishable from prejudice.