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Puzzle 10/08/29: A

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Aug 29, 2010 4:40 pm    Post subject: Puzzle 10/08/29: A Reply with quote

Code:
 +-----------------------+
 | . 7 . | . . 1 | . . 2 |
 | 8 5 . | . 2 9 | . 7 6 |
 | . . . | . 6 . | . 9 . |
 |-------+-------+-------|
 | . . . | 2 . . | . . 8 |
 | . 4 9 | . 8 . | . 2 7 |
 | 7 8 . | . . 6 | . . . |
 |-------+-------+-------|
 | . . . | . . . | . . 5 |
 | . 2 7 | . 5 . | . 1 . |
 | 5 1 . | 7 9 . | 2 . . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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Marty R.



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

PostPosted: Mon Aug 30, 2010 4:53 am    Post subject: Reply with quote

Quote:
Type 2 UR (46-3)
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Aug 30, 2010 10:49 pm    Post subject: Reply with quote

1. A 6-cell ADP (14)r236c379 which I believe is a BUG-Lite
Internal SIS: r2c7=3, r6c7=3, r6c7=5 or r6c9=3
(3)r2c7-(3=4)r2c4-r1c5=r6c5; r6c79<>4
||
(3)r6c7-(3=4)r6c5; r6c79<>4
||
(5)r6c7-(5=34)ls:r6c58; r6c79<>4
||
(3)r6c9-(3=4)r6c5; r6c79<>4

External SIS: r2c4=4 or r46c8=4 ADP(14)r236c379[(4)r46c8=(4)r2c4]-r1c5=(4)r6c5; r6c79<>4

Same results with either approach. Fun but not very useful since the next move results in the same deletions.

2. Type 1 UR (58)r13c47; r1c7<>58

3. How about a 10-cell ADP (34)r12468c45678 which, if valid, I believe is also a BUG-Lite
Code:
 
 *--------------------------------------------------*
 | 9    7    6    | 58  *34   1    |*34   58   2    |
 | 8    5    14   |*34   2    9    |*134  7    6    |
 | 2    3    14   | 58   6    7    | 58   9    14   |
 |----------------+----------------+----------------|
 | 1    6    5    | 2    7   *34   | 9   *34   8    |
 | 3    4    9    | 1    8    5    | 6    2    7    |
 | 7    8    2    | 9   *34   6    | 15  *345  13   |
 |----------------+----------------+----------------|
 | 46   9    38   | 46   1    2    | 7    38   5    |
 | 46   2    7    |*346  5   *348  | 48   1    9    |
 | 5    1    38   | 7    9    48   | 2    6    34   |
 *--------------------------------------------------*

Internal SIS: r2c7=1, r6c8=5, r8c4=6 or r8c6=8
(1)r2c7-(1=4)r2c3-r2c4=r1c5-r6c5=(4)r4c6; r9c6<>4
||
(5)r6c8-(5=1)r6c7-(1=3)r6c9-(3=4)r9c9; r9c6<>4
||
(6)r8c4-(6=4)r7c4; r9c6<>4
||
(8-3)r6c8=r8c4-(3=4)r2c4-(4=1)r2c3-r3c3=(1-4)r3c9=(4)r9c9; r9c6<>4 to complete the puzzle.

This deletion can also be obtained using the external SIS given the number of contradiction paths running through the code.

Ted
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JC Van Hay



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

PostPosted: Tue Aug 31, 2010 12:51 am    Post subject: Reply with quote

tlanglet wrote:
How about a 10-cell ADP (34)r12468c45678 which, if valid, I believe is also a BUG-Lite

More examples of Unique loops here ... Very Happy But you probably already know them Exclamation

JC
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue Aug 31, 2010 12:30 pm    Post subject: Reply with quote

JC Van Hay wrote:
tlanglet wrote:
How about a 10-cell ADP (34)r12468c45678 which, if valid, I believe is also a BUG-Lite

More examples of Unique loops here ... Very Happy But you probably already know them Exclamation

JC


Thanks JC for the link. I was not aware of this site but will pursue it further.

Ted
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