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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Oct 30, 2010 5:37 pm Post subject: Puzzle 10/10/31: B6 XY |
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I'm hanging up my hat on posting puzzles. Today's puzzles are the last.
Code: | +-----------------------+
| . . 3 | . . . | . . . |
| . . 5 | . . . | 6 1 3 |
| 7 8 6 | . 3 . | 5 . 4 |
|-------+-------+-------|
| . . . | 7 . . | 1 . . |
| . . 7 | . 5 . | . 4 . |
| . . . | . . 3 | . . 7 |
|-------+-------+-------|
| . 7 9 | 3 . . | 4 8 . |
| . 6 . | . 8 . | 7 3 5 |
| . 3 8 | . . 1 | . 6 . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Mon Nov 01, 2010 7:45 am Post subject: |
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Looked like lots of ADP's but I rarely get lucky with them. Two steps...
Quote: | type 2 UR(59) r46c28 ; r3c8<>2, r45c9|r6c7<>2
w-wing(89) ; (9=8)r5c6 - r4c6=r4c9 - (8=9)r6c7 ; r6c4<>9, r5c9<>9 |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Fri Nov 05, 2010 1:09 am Post subject: |
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Same. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Fri Nov 12, 2010 9:20 pm Post subject: |
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Type 2 UR(59)r46c28; r3c8<>2
Code: |
*--------------------------------------------------*
| 1 4 3 | 69 69 5 | 28 7 28 |
| 9 2 5 | 8 4 7 | 6 1 3 |
| 7 8 6 | 1 3 2 | 5 9 4 |
|----------------+----------------+----------------|
| 3 59 24 | 7 69 489 | 1 25 689 |
| 68 1 7 | 2 5 89 | 3 4 689 |
| 68 59 24 | 469 1 3 | 89 25 7 |
|----------------+----------------+----------------|
| 5 7 9 | 3 2 6 | 4 8 1 |
| 2 6 1 | 49 8 49 | 7 3 5 |
| 4 3 8 | 5 7 1 | 29 6 29 |
*--------------------------------------------------* |
Kraken cell (689)r4c9; r5c9<>9
(6)r4c9-r5c9=r5c1-(6=8)r6c1-(8=9)r6c7;
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(8)r4c9-(8=9)r6c7;
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(9)r4c9;
Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Nov 13, 2010 6:46 am Post subject: |
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Marty, here's how I find chains. By pure luck!!!
The following observation occurred by accident while I was considering Ted's grid after the UR Type 2.
There is a strong link on <9> in [c2]. This means that r4c5=9 and r6c7=9 can not both be true. Anything that would force them both true must itself be false. Consider r6c4=6:
Code: | (6)r6c4 - (6=8)r6c1 - (8=9)r6c7
(6)r6c4 - (6=9)r4c5
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This can be expanded to include the <59> cells in [c2],
Code: | (6)r6c4 - (6=8)r6c1 - (8=9)r6c7 - (9=5)r6c2
(6)r6c4 - (6=9)r4c5 - (9=5)r4c2
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and combined/wrapped into a discontinuous loop before finally being reduced to an XY-Chain.
Code: | (6)r6c4 - (6=8)r6c1 - (8=9)r6c7 - (9=5)r6c2 - (5=9)r4c2 - (9=6)r4c5 - (6)r6c4
(6=8)r6c1 - (8=9)r6c7 - (9=5)r6c2 - (5=9)r4c2 - (9=6)r4c5 => r6c4<>9
+-----------------------------------------------------+
| 1 4 3 | 69 69 5 | 28 7 28 |
| 9 2 5 | 8 4 7 | 6 1 3 |
| 7 8 6 | 1 3 2 | 5 9 4 |
|-----------------+-----------------+-----------------|
| 3 59 24 | 7 69 489 | 1 25 689 |
| 68 1 7 | 2 5 89 | 3 4 689 |
| 68 59 24 | 469 1 3 | 89 25 7 |
|-----------------+-----------------+-----------------|
| 5 7 9 | 3 2 6 | 4 8 1 |
| 2 6 1 | 49 8 49 | 7 3 5 |
| 4 3 8 | 5 7 1 | 29 6 29 |
+-----------------------------------------------------+
# 27 eliminations remain
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Yes, I make it look so easy -- NOT. _ _ |
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