Jonathan E. Paton [mailto:[EMAIL PROTECTED]
wrote:

>What about a meet-in-the-middle algorithm, with one
graph
> created by running forwards, and one by running
backwards.
> You would require to calculate ALL board positions
to a
> given depth in each direction.

Yes, good thought. Unfortunately, the number of board
states becomes very large with increasing N. It is
just manageable at N=7, but I'm also interested in
pushing this as far as I can. Perhaps I'll put some
adaptive logic in so that small boards are solved
quickly, while large boards can still be solved
without running out of space.


Ronald J Kimball
[mailto:[EMAIL PROTECTED] wrote:

> Since the rotations/reflections are equivalent, you
could save a lot of
> memory by only caching a canonical instance of each
board state.

Yes, I'm planning to do this next. It should help a
little, trading space for time.


Steffen Mueller [mailto:[EMAIL PROTECTED]
wrote:

> I think you could either use your hard disk for
caching (I know it's 
> slower, but CPU&time may not be the limiting factor)
or think about 
> using a more compact representation of the board -
What about a bit 
> string? Or a C-style array? There are modules for
that. Oh, and 
> pack/unpack are friends. :)

Yes, I've already converted to a bit string for board
keys. 

Perhaps more interesting: I started using a tied hash
for the board keys. When it runs out of memory, I
start the program over, and it reports the correct
number of hash keys, and uses less memory (for a
while). So I think my problem is a memory leak
somewhere. There is one main recursive routine, which
creates a number of "my" variables. I suspect that I'm
somehow keeping a reference to a variable that I
shouldn't be, and that's causing my memory problem. 

[I looked for memory leak posts on the boards, and the
general consensus is that most of them have been
plugged. I can't presume to have found one with such a
simple program, especially not using any modules.]

Cheers,
QM

=====
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Quantum Mechanics: The dreams stuff is made of

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