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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Nov 25, 2009 11:59 pm Post subject: Puzzle NR 09/11/25 (B) |
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Code: | +-----------------------+
| 6 1 . | . 9 . | . . . |
| 5 8 7 | . . . | 1 . 9 |
| . 9 2 | . 7 . | . 6 . |
|-------+-------+-------|
| . . . | 7 4 . | 8 . . |
| 8 . 3 | 1 . . | . 5 6 |
| . . . | . . 5 | . . . |
|-------+-------+-------|
| . 6 . | 9 . . | . . . |
| . . 9 | . 5 . | . 2 . |
| . 3 . | . 1 . | . . 5 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Thu Nov 26, 2009 3:00 am Post subject: |
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Code: | +--------------+------------------+--------------------+
| 6 1 4 | 5 9 (38) | 2 37-8 37-8 |
| 5 8 7 | 2346 36 2346 | 1 (34) 9 |
| 3 9 2 | 4-8 7 1 | 5 6 (48) |
+--------------+------------------+--------------------+
| 9 5 16 | 7 4 6(3) | 8 1(3) 2 |
| 8 47 3 | 1 2 9 | 47 5 6 |
| 47 2 16 | 368 368 5 | 3479 13479 1347 |
+--------------+------------------+--------------------+
| 1247 6 5 | 9 38 23478 | 347 13478 13478 |
| 147 47 9 | 3468 5 34678 | 3467 2 13478 |
| 247 3 8 | 246 1 2467 | 4679 479 5 |
+--------------+------------------+--------------------+ |
(8=3)r1c6 - (3)r4c6 = (3)r4c8 - (3=4)r2c8 - (4=8)r3c9; r1c89 and r3c4 <> 8
leads to
Quote: | xy-wing {3,6,9}
followed by remote pair 47 |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Thu Nov 26, 2009 8:11 pm Post subject: |
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I needed an ER on 3 to get going. Then it was Remote Pairs on 47, multi-coloring on 4 (not needed) and an XY-Wing on 369. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Wed Dec 02, 2009 3:50 pm Post subject: |
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I started with two AICs found by extending the vertex of potential xy-wings.
(4=8)r3c4 - (8=3)r1c6 - (3)r4c6 = (3)r4c8 - (3=4)r2c8; r2c46, r3c9<>4
(1=3)r4c8 - (3=9)r6c7 - (9=6)r9c7 - (6)r9c4 = (6)r6c4 - (6=1)r6c3; r4c3, r6c8<>1
A 6-cell Remote Pair on 47 completed the puzzle.
Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Dec 02, 2009 8:07 pm Post subject: |
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Reordering Marty's solution to be: ER, XY-Wing, and Remote Pair. Now, there's an alternative to the Remote Pair.
Code: | <37> UR r16c89 => r6c8=9 and/or r6c9=4
+------------------------------------------------------+
| 6 1 4 | 5 9 8 | 2 *37 *37 |
| 5 8 7 | 3 6 2 | 1 4 9 |
| 3 9 2 | 4 7 1 | 5 6 8 |
|-----------------+-----------------+------------------|
| 9 5 6 | 7 4 3 | 8 1 2 |
| 8 47 3 | 1 2 9 | 47 5 6 |
| 47 2 1 | 6 8 5 | 39 *37+9 *37+4 |
|-----------------+-----------------+------------------|
| 2 6 5 | 9 3 47 | 47 8 1 |
| 1 47 9 | 8 5 467 | 36 2 347 |
| 47 3 8 | 2 1 467 | 69 79 5 |
+------------------------------------------------------+
# 23 eliminations remain
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As it turns out, both choices are true. So, how do you proceed? |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Wed Dec 02, 2009 10:25 pm Post subject: |
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If r6c8=9>>r9c8=7>>r9c1=4. This now is a pincer with r6c9, removing the 4 from r6c1. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Thu Dec 03, 2009 1:05 am Post subject: |
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Marty, that is a move. It is like patting someone on the shoulder with one hand to distract them while stealing their popcorn with the other hand.
Ted |
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