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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Sat Oct 30, 2010 5:36 pm Post subject: Puzzle 10/10/31: B5 XY |
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I'm hanging up my hat on posting puzzles. Today's puzzles are the last.
| Code: | +-----------------------+
| 7 . 4 | . . 9 | . 8 6 |
| . . 6 | . . . | . 9 . |
| 9 8 1 | 7 6 . | . . . |
|-------+-------+-------|
| . . 3 | 2 9 6 | 8 . . |
| . . 8 | 4 3 . | . . 1 |
| 4 . . | 8 . . | . . . |
|-------+-------+-------|
| . . . | 6 . . | 4 2 . |
| 3 4 . | . . . | 9 6 . |
| 6 . . | . 4 . | . . . |
+-----------------------+
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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 7:44 am Post subject: |
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This was a notch tougher than the others so far - for me anyway. Two steps and a chain using all those 57s..
| Quote: | ER(5) ; (5)r4c2=r9c2 - r9c79=r78c9 ; r4c9<>5
xy-chain ; (2=5)r3c6 - (5=7)r5c6 ... -(5=7)r9c2 - (7=35)r39c7 - (5=1)r1c7 - (1=7)r2c7 - (7=2)r2c9 ; r3c9<>2 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Nov 04, 2010 10:37 pm Post subject: |
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ER (5)
XYZ-Wing (135)
XY-Wing(375), flightless with transport; r6c5<>5
There were overlapping XYZ-Wings in box 2 and I was going to be a genius and play them simultaneously, rather than playing one which would destroy the other. However, it wasn't necessary since playing the one accomplished the same thing. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Nov 05, 2010 12:28 am Post subject: |
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I originally tried to get a BUG+4 to work, but became frustrated. Then I saw the same 57s mentioned by Peter and thought of a DP ala Ted. But, I again ended up frustrated.
| Code: | after the ER and 2x XYZ-Wings mentioned by Marty
<57> DP in (*) leads to: r6c6<>5, r9c3<>7
... which leaves a BUG+2
(2)r8c7 - (2=8)r9c6 - (8)r9c9
(3 - 8)r9c9
+-----------------------------------------------------+
| 7 23 4 | 13 25 9 | 15 8 6 |
| 5 23 6 | 13 8 4 | 17 9 27 |
| 9 8 1 | 7 6 25 | 35 4 23 |
|-----------------+-----------------+-----------------|
| 1 *57 3 | 2 9 6 | 8 *57 4 |
| 2 9 8 | 4 3 *57 | 6 *57 1 |
| 4 6 *57 | 8 15 *57+1 | 2 3 9 |
|-----------------+-----------------+-----------------|
| 8 1 9 | 6 7 3 | 4 2 5 |
| 3 4 27 | 5 12 128 | 9 6 78 |
| 6 *57 *57+2 | 9 4 28 | 37 1 378 |
+-----------------------------------------------------+
# 31 eliminations remain
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So I cheated and checked my solver's output. _  _
| Code: | after the ER and 2x XYZ-Wings mentioned by Marty
internally extended <27> W-Wing
(7=2)r2c9 - r2c2 = r1c2 - r1c5 = r8c5 - (2=7)r8c3 => r8c9<>7
... or a 7-cell XY-Chain if you include r6c5
+-----------------------------------------------------+
| 7 *23 4 | 13 *25 9 | 15 8 6 |
| 5 *23 6 | 13 8 4 | 17 9 #27 |
| 9 8 1 | 7 6 25 | 35 4 23 |
|-----------------+-----------------+-----------------|
| 1 57 3 | 2 9 6 | 8 57 4 |
| 2 9 8 | 4 3 57 | 6 57 1 |
| 4 6 57 | 8 @15 157 | 2 3 9 |
|-----------------+-----------------+-----------------|
| 8 1 9 | 6 7 3 | 4 2 5 |
| 3 4 #27 | 5 *12 128 | 9 6 8-7 |
| 6 57 257 | 9 4 28 | 37 1 378 |
+-----------------------------------------------------+
# 31 eliminations remain
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Fri Nov 12, 2010 8:45 pm Post subject: |
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I used three steps, but the first did not contribute to the solution.
ANP(2=57)r9c23-(57=3)r9c7-(3=5=4=2)r3c786; r9c6<>2
ER 5 with hinge b9, SL r59c2; r4c9<>5
ANP(35=2)r3c79-(2=7)r2c9-r789c9=r9c7-r9c2=r4c2-r6c3=r6c56-(7=5)r5c6; r3c6<>5
Ted |
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