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X-Treme Dec 23

 
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emm
Hooked
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Joined: 11 Oct 2006
Posts: 34

PostPosted: Sun Dec 24, 2006 7:53 am    Post subject: X-Treme Dec 23 Reply with quote

Just for the record I am actually having a little bit of trouble with X-Treme Dec 23 - but I'm sure I would be able to solve it if it wasn't Christmas and I had more time. Very Happy

I'll have another go when all the eating and drinking is over. In the meantime thanks Ruud for lots of fun on your forum.

Happy Christmas from Downunder!
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emm
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Joined: 11 Oct 2006
Posts: 34

PostPosted: Thu Dec 28, 2006 6:56 am    Post subject: X-Treme Dec 23 Reply with quote

It has been fairly torrid getting to this point - I have used uniqueness and a lot of contradiction chains -

Code:
 
 *--------------------------------------------------*
 | 2    14   134  | 7    9    5    | 8    34   6    |
 | 7    8    34   | 6    34   1    | 9    5    2    |
 | 9    5    6    | 38   2    48   | 34   7    1    |
 |----------------+----------------+----------------|
 | 36   13   15   | 9    56   28   | 7    28   4    |
 | 48   2    7    | 48   1    3    | 5    6    9    |
 | 46   9    58   | 248  56   7    | 1    28   3    |
 |----------------+----------------+----------------|
 | 5    6    9    | 23   8    24   | 34   1    7    |
 | 1    7    2    | 5    34   9    | 6    34   8    |
 | 38   34   48   | 1    7    6    | 2    9    5    |
 *--------------------------------------------------*


Almost a BUG but not quite. Any ideas?
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sudokuEd
Grandmaster
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Joined: 19 Jun 2006
Posts: 257
Location: Sydney Australia

PostPosted: Thu Dec 28, 2006 12:13 pm    Post subject: Reply with quote

An ALS move unlocks the puzzle emm Cool

ALS(A=[r9c1,r4c6]B=[r356c4], X = 2, Z= 3) -> r3c7<>3

But I can't get as far as emm has. Any more ideas?
Code:
.---------------.---------------.---------------.
| 234  1234 134 | 7    9    5   | 8    34   6   |
| 7    8    34  | 6    34   1   | 9    5    2   |
| 9    5    6   | 38   2    48  | 34   7    1   |
:---------------+---------------+---------------:
| 36   13   135 | 29   56   289 | 7    28   4   |
| 248  24   7   | 248  1    3   | 5    6    9   |
| 46   249  4589| 248  56   7   | 1    28   3   |
:---------------+---------------+---------------:
| 5    6    29  | 239  8    24  | 34   1    7   |
| 1    7    234 | 5    34   249 | 6    349  8   |
| 348  349  3489| 1    7    6   | 2    349  5   |
'---------------'---------------'---------------'


Last edited by sudokuEd on Fri Dec 29, 2006 3:32 am; edited 1 time in total
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Ruud
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Joined: 30 Dec 2005
Posts: 601

PostPosted: Thu Dec 28, 2006 6:29 pm    Post subject: Reply with quote

you could start with the X-Wing for digit 4 in r37c67...

then there is this nice loop:

[r9c1]-8-[r4c6]=8=[r3c6]=4=[r3c7]=3=[r9c1] => r9c1<>8

several singles bring you to this point:

Code:
.------------.------------.------------.
| 2  1-34 134| 7   9   5  | 8  *34  6  |
| 7   8   34 | 6   34  1  | 9   5   2  |
| 9   5   6  | 38  2   48 |*34  7   1  |
:------------+------------+------------:
| 36  13  135| 9   56  28 | 7   28  4  |
| 8   2   7  | 4   1   3  | 5   6   9  |
| 46  9   45 | 28  56  7  | 1   28  3  |
:------------+------------+------------:
| 5   6   9  | 23  8   24 | 34  1   7  |
| 1   7   2  | 5   34  9  | 6   34  8  |
|*34 *34  8  | 1   7   6  | 2   9   5  |
'------------'------------'------------'

A remote pair using the diagonal causes a single 1 in r1c2.

That finally cracks it.

Ruud
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“If the human brain were so simple that we could understand it, we would be so simple that we couldn't.” - Emerson M Pugh
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emm
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Joined: 11 Oct 2006
Posts: 34

PostPosted: Thu Dec 28, 2006 8:03 pm    Post subject: Reply with quote

Very nice moves. Looks so easy when someone shows you how. Thanks!
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