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Pattern GSF 3/5/12

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Fri Mar 09, 2012 12:03 am    Post subject: Pattern GSF 3/5/12 Reply with quote

Code:
 *-----------*
 |1..|23.|..4|
 |..2|..5|.7.|
 |.7.|...|1..|
 |---+---+---|
 |5..|...|.3.|
 |6..|.8.|..1|
 |.9.|...|.2.|
 |---+---+---|
 |..9|...|6..|
 |.6.|4.8|...|
 |8..|.1.|..5|
 *-----------*
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Marty R.



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

PostPosted: Fri Mar 09, 2012 2:33 am    Post subject: Reply with quote

I would've preferred a non-chain solution, but there are at least two XY-Chains and one AIC whereby r6c5=5 proves r3c6=4; r3c5<>4.

Code:

+--------+-------------+--------+
| 1 5 8  | 2  3   7    | 9  6 4 |
| 9 4 2  | 1  6   5    | 8  7 3 |
| 3 7 6  | 8  49  49   | 1  5 2 |
+--------+-------------+--------+
| 5 8 14 | 79 249 1249 | 47 3 6 |
| 6 2 34 | 57 8   34   | 57 9 1 |
| 7 9 13 | 36 45  136  | 45 2 8 |
+--------+-------------+--------+
| 4 1 9  | 35 25  23   | 6  8 7 |
| 2 6 5  | 4  7   8    | 3  1 9 |
| 8 3 7  | 69 1   69   | 2  4 5 |
+--------+-------------+--------+

Play this puzzle online at the Daily Sudoku site
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Fri Mar 09, 2012 7:02 am    Post subject: Reply with quote

Marty R. wrote:
I would've preferred a non-chain solution

Look for a nice Sue de Cog in Block 5 and Col 4. Finished with a Bug+1

A simpler solution is:
Code:
 *-----------------------------------------------------------*
 | 1     5     8     | 2     3     7     | 9     6     4     |
 | 9     4     2     | 1     6     5     | 8     7     3     |
 | 3     7     6     | 8   a49    49    | 1     5     2     |
 |-------------------+-------------------+-------------------|
 | 5     8     14    |d79    24-9  1249  | 47    3     6     |
 | 6     2     34    |c57    8     34    | 57    9     1     |
 | 7     9     13    | 36   b45    136   | 45    2     8     |
 |-------------------+-------------------+-------------------|
 | 4     1     9     | 35    25    23    | 6     8     7     |
 | 2     6     5     | 4     7     8     | 3     1     9     |
 | 8     3     7     | 69    1     69    | 2     4     5     |
 *-----------------------------------------------------------*
xy-chain
(9=4)r3c5-(4=5)r6c5-(5=7)r5c4-(7=9)r4c4 => r4c5<>9
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JC Van Hay



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

PostPosted: Fri Mar 09, 2012 7:52 am    Post subject: Reply with quote

A non-chain solution ... Very Happy
Code:
+----------+---------------------+----------+
| 1  5  8  | 2     3      7      | 9   6  4 |
| 9  4  2  | 1     6      5      | 8   7  3 |
| 3  7  6  | 8     49     49     | 1   5  2 |
+----------+---------------------+----------+
| 5  8  14 | (79)  2[4]9  12[49] | 47  3  6 |
| 6  2  34 | (57)  8      (34)   | 57  9  1 |
| 7  9  13 | -36   (45)   1[3]6  | 45  2  8 |
+----------+---------------------+----------+
| 4  1  9  | 35    25     23     | 6   8  7 |
| 2  6  5  | 4     7      8      | 3   1  9 |
| 8  3  7  | 69    1      69     | 2   4  5 |
+----------+---------------------+----------+

BUG
||
4r4c56-(4=3)r5c6
||
9r4c6-(9=7)r4c4-(7=5)r5c4-(5=4)r6c5-(4=3)r5c6
||
3r6c6

=> 3r5c6=3r6c6 => -3r6c4; stte

Or

BUG + Naked Quin(34579)r4c456.r5c46.r6c56

=> -3r6c4; stte
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Fri Mar 09, 2012 11:40 am    Post subject: Reply with quote

JC Van Hay wrote:
BUG
||
4r4c56-(4=3)r5c6
||
9r4c6-(9=7)r4c4-(7=5)r5c4-(5=4)r6c5-(4=3)r5c6
||
3r6c6

=> 3r5c6=3r6c6 => -3r6c4; stte

Nice one. Not surprisingly, bilocals work too.
Code:
BUG
 ||
(49-1)r4c6 = (1)r6c6
 ||
(4-2)r4c4 = (2-1)r4c6 = (1)r6c6
 ||
(3)r6c6

=> (1=3)r6c6 => r6c6<>6; stte
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