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Menneske 4668662

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keith

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

Posted: Sat Dec 01, 2012 5:07 pm Post subject: Menneske 4668662

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

Marty R.

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

Posted: Sun Dec 02, 2012 3:27 am Post subject:

Whatever was in there certainly escaped my eyes. I played two AICs, two X-Wings and an XY-Loop.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Sun Dec 02, 2012 10:22 am Post subject:

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 |
+----------------+-----------+---------------+

JC Van Hay

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

Posted: Sun Dec 02, 2012 12:56 pm Post subject:

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

peterj

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

Posted: Sun Dec 02, 2012 4:06 pm Post subject:

"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

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Wed Dec 05, 2012 3:26 pm Post subject:

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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