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Astraware Diabolical 21/12/10

 
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Dec 23, 2010 8:10 am    Post subject: Astraware Diabolical 21/12/10 Reply with quote

Code:
 *-----------*
 |.51|.2.|..9|
 |...|...|..8|
 |...|.95|72.|
 |---+---+---|
 |6..|..9|...|
 |1.4|...|3.7|
 |...|6..|..4|
 |---+---+---|
 |.39|27.|...|
 |8..|...|...|
 |4..|.5.|98.|
 *-----------*
(c) Astraware
Not as unreasonable as the last one posted... I don't think!
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Dec 23, 2010 10:35 am    Post subject: Reply with quote

x-wing 6
(6)r2c3 = (6)r8c3 - (6)r8c5 = (6)r2c5
r2c267 <> 2
r8c26<> 2

Code:
+-------------+------------------+-----------------------+
| 7  5     1  | 8     2     346  | 46      34       9    |
| 9  2(4)  26 | 1347  1346  1347 | -4(15)  3-4(15)  8    |
| 3  6(4)  8  | (14)  9     5    | 7       2        6(1) |
+-------------+------------------+-----------------------+
| 6  78    35 | 1347  134   9    | 1258    15       25   |
| 1  9     4  | 5     8     2    | 3       6        7    |
| 2  78    35 | 6     13    137  | 158     9        4    |
+-------------+------------------+-----------------------+
| 5  3     9  | 2     7     8    | 146     14       16   |
| 8  12    26 | 9     1346  134  | 25      7        235  |
| 4  126   7  | 13    5     136  | 9       8        23   |
+-------------+------------------+-----------------------+

(15)r2c78 = (1)r3c9 - (1=4)r3c4 - (4)r3c2 = (4)r2c2; r2c78 <> 4

Code:
+--------------+--------------------+------------------+
| 7  5    1    | 8       2     (36) | 4-6   34    9    |
| 9  24   26   | 147(3)  1346  1347 | 15    135   8    |
| 3  46   8    | 14      9     5    | 7     2     (16) |
+--------------+--------------------+------------------+
| 6  78   (35) | 147(3)  134   9    | 1258  (15)  (25) |
| 1  9    4    | 5       8     2    | 3     6     7    |
| 2  78   35   | 6       13    137  | 158   9     4    |
+--------------+--------------------+------------------+
| 5  3    9    | 2       7     8    | 46    4(1)  6(1) |
| 8  12   26   | 9       1346  134  | 25    7     235  |
| 4  126  7    | 1(3)    5     136  | 9     8     (23) |
+--------------+--------------------+------------------+


Code:
kraken column 4 on candidate 3
proves r1c7 cannot be 6

(3)r2c4 - (3=6)r1c6
||
(3)r4c4 - (3=5)r4c3 -------------- (5=1)r4c8 - (1)r7c8 = (1)r7c9 - (1=6)r3c9
||                               /
(3)r9c4 - (3=2)r9c8 - (2=5)r4c9-/




and the puzzle is solved.
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Thu Dec 23, 2010 4:01 pm    Post subject: Reply with quote

storm_norm wrote:

Code:
kraken column 4 on candidate 3
proves r1c7 cannot be 6

(3)r2c4 - (3=6)r1c6
||
(3)r4c4 - (3=5)r4c3 -------------- (5=1)r4c8 - (1)r7c8 = (1)r7c9 - (1=6)r3c9
||                               /
(3)r9c4 - (3=2)r9c8 - (2=5)r4c9-/


A somewhat smaller pattern ...

Code:
kraken column 4 on candidate 3
proves r2c8 cannot be 3

(3)r2c4
||
(3)r4c4 - (3=5)r4c3 -------------- (5)r4c8 = (5)r2c8
||                               /
(3)r9c4 - (3=2)r9c8 - (2=5)r4c9-/
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Dec 23, 2010 5:44 pm    Post subject: Reply with quote

It was harder for me than I thought - lots of bivalues but not so easy to crack!

Norm, Ron, nice Kraken Col - I occasionally stumble on these looking at AALS type moves, but generally not! (BTW Typo <>2 to <>6 in your x-wing step)

I've taken liberties with my s-wing move below - not a "cyclops" but a full two eyes!

Code:
#1 x-wing(6) ; r2c267<>6, r8c26<>6
#2 xy-wing(16-4) r3c9 ; r1c6<>4

 *-----------------------------------------------------------*
 | 7     5     1     | 8     2     36    | 46    34    9     |
 | 9     24    2(6)  | 1347  1346  1347  | (15)  35-1  8     |
 | 3     4(6)  8     | 14    9     5     | 7     2     (16)  |
 |-------------------+-------------------+-------------------|
 | 6     78    35    | 1347  134   9     | 128-5 15    25    |
 | 1     9     4     | 5     8     2     | 3     6     7     |
 | 2     78    35    | 6     13    137   | 18-5  9     4     |
 |-------------------+-------------------+-------------------|
 | 5     3     9     | 2     7     8     | 46    14    16    |
 | 8     1-2   (26)  | 9     1346  134   | (25)  7     35-2  |
 | 4     126   7     | 13    5     136   | 9     8     23    |
 *-----------------------------------------------------------*

#3 loop ; (5=1)r2c7 - (1=6)r3c9 - r3c2=r2c3 - (6=2)r8c3 - (2=5)r8c7 - loop ; r2c8<>1, r8c29<>2, r46c7<>5

 *------------------------------------------------------------*
 | 7     5     1     | 8      2     (6)-3 | 46    34    9     |
 | 9     24    26    | 1(3)47 1346  1347  | 15    35    8     |
 | 3     46    8     | 14     9     5     | 7     2     16    |
 |-------------------+--------------------+-------------------|
 | 6     78    3     | 147    14    9     | 128   15    25    |
 | 1     9     4     | 5      8     2     | 3     6     7     |
 | 2     78    5     | 6      13    137   | 18    9     4     |
 |-------------------+--------------------+-------------------|
 | 5     3     9     | 2      7     8     | 46    14    16    |
 | 8     1     26    | 9      346   34    | 25    7     35    |
 | 4     (26)  7     | 1(3)   5     13(6) | 9     8     (23)  |
 *------------------------------------------------------------*

#4 s-wing with "pseudocell" hinge ; (3)r2c4=r9c4 - (3=2)r9c9-(2=6)r9c2 - (6)r9c6=r1c6 ; r1c6<>3
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Dec 23, 2010 10:52 pm    Post subject: Reply with quote

Quote:
I occasionally stumble on these looking at AALS type moves

that is exactly how I find them. I look for AICs which would be complete except for... blah blah... etc etc.... then go from there.
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