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How do I devise an algorithm to solve a sliding puzzle?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

Hi;

Do you mean the 15 puzzle?

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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The 15 puzzle is unsolvable.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

Some positions are not possible but others are.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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Ok, so how to do it?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

There is some math that tells you whether it is solveable or not but I have forgotten it.

Programming it, looks tough.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,018

Mathematica?

Mathaholic | 17th most active poster | 681st most recent person to join MIFF | Person | rrr's classmate

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But programming it is what I am thinking.

After all, programs are threre which solve them

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

I will try one and see what comes up.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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Did you?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

I have not even scratched the surface because I am still wrestling with a representation of the puzzle itself. It is unlikely that I will get far even when I solve that small problem because I do not understand how the program should pick from its many choices.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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Are you on Win 7?

The algorithm isn't simple, it involves a lot of graph theory...

*Last edited by Agnishom (2013-04-26 23:58:55)*

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

Heck no!

That is the problem right there. I am not very good with graph theory. As a matter of fact, I stink.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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http://www.brian-borowski.com/Software/Puzzle/

Are they calling each state a node?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

Probably, that would make sense.

Here is the math behind every solution.

http://mathworld.wolfram.com/15Puzzle.html

Also, there are tons of these programs to download. I need some sleep, see you.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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Okay Sweet Dreams!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 96,652

Thanks and same to you.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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