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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Sun May 15, 2011 1:27 am Post subject: Puzzle 11/05/14: ~ XY |
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| Code: | +-----------------------+
| . . . | . . . | 1 3 2 |
| . . 3 | 2 . . | . 9 4 |
| . 2 4 | 9 . . | 7 . 6 |
|-------+-------+-------|
| . 7 9 | 4 . . | . . . |
| . . . | . 2 . | . . 9 |
| . . . | . . 9 | 4 . 3 |
|-------+-------+-------|
| 6 . 2 | . . 5 | 3 . 7 |
| 4 9 . | . . . | . 6 . |
| 5 3 7 | . 6 4 | 9 . 1 |
+-----------------------+
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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: Sun May 15, 2011 11:19 am Post subject: |
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A fun DP... that's assuming it is a DP, I'm on uncertain territory...
| Code: | 8-cell DP(58) r2c57, r3c58, r4c89, r8c79 ; r4c8<>5
(1)r4c8 - (5)r4c8
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(3)r3c5 - (5)r3c5=r3c8 - (5)r4c8
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(1)r2c5 - (1)r4c5=r4c8 - (5)r4c8 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sun May 15, 2011 2:16 pm Post subject: |
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Peter, your pattern is a DP; more specifically it could be called an 8-cell AUR. Good spot...........
I also found the pattern and spent some time intrigued with the external sis which only included (8s). I finally abandoned that approach and found your solution looking at the internal inferences.
Noting that we had the same solution, I did the puzzle again.
While looking for xy-wings, I noticed this chain:
(7=8)r6c8-r3c8=r2c7-(8=1)r2c6-r2c5=r4c5-als(1=38)r5c61-(3=7)r5c4; r5c8,r6c5<>7
A BUG+1 or xy-wing (13-8) completes the puzzle.
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun May 15, 2011 3:24 pm Post subject: |
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A rare puzzle with L-Wing single-stepper but no suitably productive W/M/S-Wing.
| Code: | +-----------------------------------------------------+
| 9 5 8 | 6 4 7 | 1 3 2 |
| 7 6 3 | 2 158 18 | 58 9 4 |
| 1 2 4 | 9 358 38 | 7 58 6 |
|-----------------+-----------------+-----------------|
| 38 7 9 | 4 138 6 | 2 158 58 |
| 38 4 5 | 37 2 138 | 6 178 9 |
| 2 1 6 | 5 78 9 | 4 78 3 |
|-----------------+-----------------+-----------------|
| 6 8 2 | 1 9 5 | 3 4 7 |
| 4 9 1 | 37 37 2 | 58 6 58 |
| 5 3 7 | 8 6 4 | 9 2 1 |
+-----------------------------------------------------+
# 26 eliminations remain
L-Wing (5)r2c5 = r2c7 - r3c8 = (5-1)r4c8 = (1)r4c5 => r2c5<>1
L-Wing (5)r2c5 = r3c5 - r3c8 = (5-1)r4c8 = (1)r4c5 => r2c5<>1
L-Wing (5)r4c8 = r3c8 - r2c7 = (5-1)r2c5 = (1)r4c5 => r4c8<>1
L-Wing (5)r4c8 = r3c8 - r3c5 = (5-1)r2c5 = (1)r4c5 => r4c8<>1
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ronk
Joined: 07 May 2006
Posts: 398
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| Posted: Sun May 15, 2011 4:30 pm Post subject: |
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| tlanglet wrote: | | Peter, your pattern is a DP; more specifically it could be called an 8-cell AUR. Good spot........... |
Agree on the "good spot", but it's a BUG-Lite, not an AUR. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon May 16, 2011 4:18 am Post subject: |
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XY-Wing (378); r5c6<>8
M-Wing (38), flightless with transport; r5c8<>8
BUG+1 |
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