Help with Fiendish puzzle

Advanced methods and approaches for solving Sudoku puzzles

Help with Fiendish puzzle

Postby derekw » Sat Aug 13, 2005 3:52 pm

Can anyone give me a few pointers on this puzzle? I can't seem to find any X-wings. Help!?!


..2/974/...
.../.../.57
.../5../...

..4/85./7.2
..9/417/6..
8.. /23./4..

.../.4./57.
13./795/...
.../682/9..
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Postby PaulIQ164 » Sat Aug 13, 2005 4:21 pm

I don't think you strictly need an X-Wing (though I'm sure this can be rephrased in terms of one):

The 3 in box 4 has to go in either r4c1 or r5c1. Either way, it's in column 1. So, look at row 1. The 3 can't go in r1c1 or r1c2, as there are already 3s in those columns. So the only remaining places are r1c7, r1c8 and r1c9 (not3 these are all in box 3).

Now looking at column 7, the 3 can't be in r8c7, as there's aready a 3 in the row. So it has to be in r1c7, r2c7, or r7c6 (again, all in box 3).

The only way the 3 can be in both of these sets of cells is if it's in r1c7.
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Postby derekw » Sat Aug 13, 2005 4:57 pm

Can't follow what moves you're describing Paul, your grid references are confusing.
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Postby PaulIQ164 » Sat Aug 13, 2005 5:03 pm

Whenever I post something without using the Standard Approved Grid Referencing Technique, I get messages from people going "Agh! I can't understand these crazy non-standard grid references! What do you mean, 'the box in the middle'? If you haven't numbered ot, I can't tell which one you mean!".

So it seems I can't win. anyhow, there's a thread in one of the forums that explains the standard terminology.

Unless of course, I've just explained it badly or wrongly, and that's what's confusing you, in which case there's not much I can do about it...
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Postby Karyobin » Sat Aug 13, 2005 5:23 pm

Funny one, this one. I used simes's solver to have a look, got to within about 12 moves of completion and suddenly - nowhere to go. Simes's device had to guess.

Any thoughts?

(And I understand your references Paul. Some folk must be a bit dim. "Let's see now, what could 'r' and 'c' mean?..."):D
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Postby PaulIQ164 » Sat Aug 13, 2005 5:41 pm

The solver at http://sudoku.sourceforge.net gets it all. After a bit of fiddleing to get that 3 and a 1 in r1c2, it all seems to be simple "cell x can only be number y" or "the only place for number x in unit y is cell z" stuff.
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Postby derekw » Sat Aug 13, 2005 5:57 pm

Paul and Karyobin

How do you explain r7c6 being in box 3?

r7c6 is in box 9
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Postby PaulIQ164 » Sat Aug 13, 2005 6:14 pm

Excellent point! It should say r3c7.
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Postby simes » Sat Aug 13, 2005 7:03 pm

Karyobin wrote:Funny one, this one. I used simes's solver to have a look, got to within about 12 moves of completion and suddenly - nowhere to go. Simes's device had to guess.
That's strange, I just tried it myself, and it solved it - it didn't even need anything particularly tricky, and certainly no guessing.

Simes
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Postby PaulIQ164 » Sat Aug 13, 2005 7:33 pm

Perhaps a transcription error?
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Postby simes » Sat Aug 13, 2005 7:42 pm

PaulIQ164 wrote:Perhaps a transcription error?
Perhaps, but karyobin uses my solver because it's possible to cut'n'paste from the forum message instead of typing it in. However, it didn't, until two minutes ago, allow "/" as a separator, so some manual jiggery-pokery will have been necessary.

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Postby Anette » Sat Aug 13, 2005 7:50 pm

I managed to solve this by spotting a couple of naked pairs, the first giving a second one in row 7, then one in column 3 giving another one in row 2 and also one in column 6.

This giving a single value in r2c6, and from there not very hard.
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Postby Karyobin » Sun Aug 14, 2005 10:50 am

Quite possibly was a transcription error. As Simes says, his solver doesn't like '/'s'.

My head hurts. Ate more than a chicken yesterday. Head spinning with morris-dancers.

I don't mean to compare the amount I eat with the amount a chicken eats, but I can't be bothered to clarify anything. You'll just have to struggle.

S** *ff.
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Postby stuartn » Sun Aug 14, 2005 1:49 pm

simes wrote:
That's strange, I just tried it myself, and it solved it - it didn't even need anything particularly tricky, and certainly no guessing.


Ditto my excel solver. One iteration and completely sorted. No fishy things or anything. Just straight exclusion.

stuartn

http://www.brightonandhove.org/sudolinks/solver5c.xls
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