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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Mon Jun 21, 2010 4:58 pm Post subject: Puzzle 10/06/21: (B) XY |
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| Code: | +-----------------------+
| . . 6 | 5 . . | . . 9 |
| . 1 . | . 8 . | 5 4 . |
| 8 . 2 | 9 . . | . . 7 |
|-------+-------+-------|
| 5 . 9 | . . . | . 7 . |
| . 4 . | . . . | . 8 . |
| . . . | . . . | 4 . . |
|-------+-------+-------|
| . 8 . | . . 9 | 6 . 5 |
| . 9 . | 8 2 . | . 3 . |
| 2 . 4 | . . . | 7 . . |
+-----------------------+
|
Play this puzzle online at the Daily Sudoku site
| Code: | after basics
+--------------------------------------------------------------+
| 4 7 6 | 5 3 2 | 8 1 9 |
| 9 1 3 | 67 8 67 | 5 4 2 |
| 8 5 2 | 9 1 4 | 3 6 7 |
|--------------------+--------------------+--------------------|
| 5 36 9 | 1346 46 8 | 2 7 136 |
| 1367 4 17 | 2 567 135 | 9 8 136 |
| 1367 2 8 | 1367 9 13 | 4 5 136 |
|--------------------+--------------------+--------------------|
| 137 8 17 | 347 47 9 | 6 2 5 |
| 67 9 5 | 8 2 67 | 1 3 4 |
| 2 36 4 | 136 56 135 | 7 9 8 |
+--------------------------------------------------------------+
# 42 eliminations remain
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Tue Jun 22, 2010 7:27 am Post subject: |
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In an attempt to spend more time looking at DPs, here's a somewhat heavy-handed one-stepper...
| Quote: | DP(17) r57c13; r5c1=36 || r7c1=3
(3)r7c1 - (3=6)r9c2 - (6=7)r8c1 - (7=1)r7c3; r7c3=1
(6)r5c1 - (6=7)r8c1 - (7=1)r7c3; r7c3=1
(3)r5c1 - (3=6)r4c2 - (6=4)r4c5 - (4=7)r7c5 - (7=1)r7c3; r7c3=1 |
But if I wasn't practising DPs I would have done... 
| Quote: | | ANP(17) (3=17)r7c13 - (7=4)r7c5 - (4=6)r4c5 - (6=3)r4c2; r56c1<>3, r9c2<>3 |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Tue Jun 22, 2010 9:06 am Post subject: |
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Also there's a complementary forcing chain look to this:
The same HUR tells you that to avoid the DP you can not have 7 in r1c5. Regardless of what is left ie {1,3,6} then r7c3 must =1 and indeed r5c1 is 1. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Tue Jun 22, 2010 10:11 pm Post subject: |
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| I played the XY-Wing (476) followed by a pincer transport. |
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