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Menneske 4668662

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sat Dec 01, 2012 5:07 pm    Post subject: Menneske 4668662 Reply with quote

Code:
M4668662sh(24)
+-------+-------+-------+
| . . 8 | . . . | 9 . . |
| 4 . . | 8 . 6 | . . 5 |
| . . . | 9 . 7 | . . . |
+-------+-------+-------+
| . 9 5 | . 8 . | 2 6 . |
| . . . | 3 . 2 | . . . |
| . 1 2 | . 9 . | 8 3 . |
+-------+-------+-------+
| . . . | 6 . 5 | . . . |
| 8 . . | 4 . 9 | . . 2 |
| . . 3 | . . . | 5 . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sun Dec 02, 2012 3:27 am    Post subject: Reply with quote

Whatever was in there certainly escaped my eyes.

I played two AICs, two X-Wings and an XY-Loop.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Dec 02, 2012 10:22 am    Post subject: Reply with quote

couldn't find that short and nice solution. so here is a long one.

after basics and a x-wing on 1's and 6's get you here

Code:
+-------------------+-------------+------------------+
| 25   27(6)  8     | 12  45    3 | 9    247    1(6) |
| 4    237    9     | 8   12    6 | 37   127    5    |
| 125  23     (16)  | 9   45    7 | 346  248    38   |
+-------------------+-------------+------------------+
| 3    9      5     | 7   8     1 | 2    6      4    |
| 7    8      4     | 3   6     2 | 1    5      9    |
| 6    1      2     | 5   9     4 | 8    3      7    |
+-------------------+-------------+------------------+
| 129  24     -1(7) | 6   1237  5 | 347  14789  38   |
| 8    5      16(7) | 4   137   9 | 367  (17)   2    |
| 29   246    3     | 12  27    8 | 5    479    (16) |
+-------------------+-------------+------------------+


(7)r7c3 = (7)r8c3 - (7=1)r8c8 - (1=6)r9c9 - (6)r1c9 = (6)r1c2 - (6=1)r3c3; r7c3 <> 1
-------------------------

Code:
+---------------+------------+----------------+
| 25   267   8  | 12  45   3 | 9     247   16 |
| 4    237   9  | 8   12   6 | 37    127   5  |
| 125  (23)  16 | 9   45   7 | 46-3  248   38 |
+---------------+------------+----------------+
| 3    9     5  | 7   8    1 | 2     6     4  |
| 7    8     4  | 3   6    2 | 1     5     9  |
| 6    1     2  | 5   9    4 | 8     3     7  |
+---------------+------------+----------------+
| 129  (24)  7  | 6   123  5 | (34)  1489  38 |
| 8    5     16 | 4   137  9 | 367   17    2  |
| 29   246   3  | 12  27   8 | 5     479   16 |
+---------------+------------+----------------+


this gives us an xy-wing {2,3,4} which removes 3 from r3c7 (above)
------------------------------

then comes a loop

Code:
+---------------+-------------+-------------------+
| 25   67-2  8  | 12  45    3 | 9     247    16   |
| 4    37-2  9  | 8   12    6 | 37    127    5    |
| 125  (23)  16 | 9   45    7 | 46    248    8(3) |
+---------------+-------------+-------------------+
| 3    9     5  | 7   8     1 | 2     6      4    |
| 7    8     4  | 3   6     2 | 1     5      9    |
| 6    1     2  | 5   9     4 | 8     3      7    |
+---------------+-------------+-------------------+
| 129  (24)  7  | 6   12-3  5 | (34)  189-4  8(3) |
| 8    5     16 | 4   137   9 | 67-3  17     2    |
| 29   46-2  3  | 12  27    8 | 5     479    16   |
+---------------+-------------+-------------------+


(2=4)r7c2 - (4=3)r7c7 - (3)r7c9 = (3)r3c9 - (3=2)r3c2;
r1c2 <> 2
r2c2 <> 2
r9c2 <> 2
r7c5 <> 3
r8c7 <> 3
r7c8 <> 4

----------------------------

leads to this xy-wing - 2,4,9 which removes 4 from r7c7 and r9c2

Code:
+----------------+-----------+---------------+
| 25    67    8  | 12  45  3 | 9    247   16 |
| 4     37    9  | 8   12  6 | 37   12    5  |
| 125   23    16 | 9   45  7 | 46   248   38 |
+----------------+-----------+---------------+
| 3     9     5  | 7   8   1 | 2    6     4  |
| 7     8     4  | 3   6   2 | 1    5     9  |
| 6     1     2  | 5   9   4 | 8    3     7  |
+----------------+-----------+---------------+
| 129   (24)  7  | 6   12  5 | 3-4  89    38 |
| 8     5     16 | 4   3   9 | 67   17    2  |
| (29)  6-4   3  | 12  7   8 | 5    (49)  16 |
+----------------+-----------+---------------+
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Sun Dec 02, 2012 12:56 pm    Post subject: Reply with quote

Code:
+--------------------+---------------+-----------------------+
| 25(1)  2(67)  8    | 2(1)  1245  3 | 9     124(7)   -1(6)  |
| 4      237    9    | 8     12    6 | (37)  127      5      |
| 25(1)  236    (16) | 9     1245  7 | 346   1248     168(3) |
+--------------------+---------------+-----------------------+
| 3      9      5    | 7     8     1 | 2     6        4      |
| 7      8      4    | 3     6     2 | 1     5        9      |
| 6      1      2    | 5     9     4 | 8     3        7      |
+--------------------+---------------+-----------------------+
| 2(19)  247    17   | 6     1237  5 | 347   147(89)  1(38)  |
| 8      5      167  | 4     137   9 | 367   17       2      |
| 29(1)  2467   3    | 2(1)  127   8 | 5     1479     16     |
+--------------------+---------------+-----------------------+
UP47; Kraken 1C1 : 1r1c14=6r1c9 :=> -1r1c9; UP81

 1r1c1
 ||
 1r3c1-(1=6)r3c3-6r1c2=6r1c9
 ||
(1-9)r7c1=(9-8)r7c8=(8-3)r7c9=3r3c9-(3=7)r2c7-7r1c8=(7-6)r1c2=6r1c9
 ||
 1r9c1-1r9c4=1r1c4
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peterj



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

PostPosted: Sun Dec 02, 2012 4:06 pm    Post subject: Reply with quote

"Simplest" pattern path I could find was...
Code:
x-wing(1)c49/r19 ; r1c18<>1, r9c158<>1
xy-chain-ish (7=2)r9c5-(2=1)r9c4-(1=2*)r1c4-(2=5)r1c1-(5=4)r1c5-(*24=7)r1c8 ; r9c8<>7
xy-wing(29-4)r9c1,r7c2,r9c18 ; r7c78<>4, r9c2<>4
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Wed Dec 05, 2012 3:26 pm    Post subject: Reply with quote

A 8 cell solution:
Code:
|---------------|-------------|----------------|
| 125  267  8   |(12) 45    3 | 9    1247  (1)6|
| 4    237  9   | 8   12    6 | 37   127    5  |
| 125  236  16  | 9   45    7 | 346  1248   38 |
|---------------|-------------|----------------|
| 3    9    5   | 7   8     1 | 2    6      4  |
| 7    8    4   | 3   6     2 | 1    5      9  |
| 6    1    2   | 5   9     4 | 8    3      7  |
|---------------|-------------|----------------|
| 129 (24)  17  | 6   1237  5 | 347  14789  38 |
| 8    5    167 | 4   137   9 | 367  17     2  |
|(129) 2(4)6 3  |(12) 127   8 | 5  1(4)7-9 (1)6|
|---------------|-------------|----------------|

r1/9c9=1:
r1c9=1 -> r1c4=2 -> r9c4=1
r9c9=1 ->                  =>
r9c1=2/9:
r9c1=2 -> r7c2=4 -> r9c8=4
r9c1=9                     => r9c8<>9

/SudoQ
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