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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Mon Mar 01, 2010 6:47 pm Post subject: Puzzle 10/03/01 ___ BBDB as VH+ puzzle |
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| Code: | +-----------------------+
| 7 2 . | 8 . 5 | . . . |
| 9 . 4 | . 6 . | 2 . . |
| . 5 8 | . . . | . . 9 |
|-------+-------+-------|
| 5 . . | 9 2 . | 8 . . |
| . 1 . | 5 8 . | . 2 . |
| 8 . . | . . . | 5 . . |
|-------+-------+-------|
| . 9 . | 7 . 2 | 6 . . |
| . . . | . 5 . | . 7 4 |
| . . 7 | . . . | . 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: Tue Mar 02, 2010 2:29 am Post subject: |
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looked at it for a while, couldn't get it under 3 steps. the middle step is probably a little over the top.
#1.xy-wing 346 => r8c2 <> 6
gets it to here.
| Code: | +----------------+----------------+--------------------+
| 7 2 (16) | 8 9 5 | (134) 16(34) 136 |
| 9 3 4 | 1 6 7 | 2 8 5 |
| 16 5 8 | 2 34 34 | 7 16 9 |
+----------------+----------------+--------------------+
| 5 7 (36) | 9 2 1346 | 8 16(34) 136 |
| 346 1 9 | 5 8 346 | (34) 2 7 |
| 8 46 2 | 34 7 1346 | 5 9 136 |
+----------------+----------------+--------------------+
| 134 9 5 | 7 134 2 | 6 1(3) 8 |
| 2 8 136 | 36 5 9 | 1-3 7 4 |
| 1346 46 7 | 346 134 8 | 9 5 2 |
+----------------+----------------+--------------------+ |
#2.this chain... als[(3)r15c7 = (1)]r15c7 - (1=6)r1c3 - (6=3)r4c3 - (3)r4c8 = (3)r7c8
would eliminate the 3 in r8c7
is prevented by the 3 in r1c8, so that 3 true leads to
(3-4)r1c8 = (4)r4c8 - (4=3)r5c7
either way, the 3 at r8c7 is toast.
#3.leaves a xy-wing {3,4,6} eliminates 3 from r5c1 and r4c9 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Tue Mar 02, 2010 6:01 am Post subject: |
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W-Wing (34) + pincer transport
Flightless XY-Wing Chain (13-16-16-16-36) with pincer transport
XY-Wing (346)
Flightless W-Wing (46) with pincer transport |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Mar 04, 2010 3:17 pm Post subject: |
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Here is a "long road" solution.
xy-wing -346 with vertex in r6c2,
xy-wing 34-6 with vertex in r6c4,
w-wing 34 in r5c7 & r6c4 plus transport,
another xy-wing 34-6 with vertex in r6c4.
At thi s point the code is:
| Code: | *-----------------------------------------------------------*
| 7 2 16 | 8 9 5 | 134 1346 136 |
| 9 3 4 | 1 6 7 | 2 8 5 |
| 16 5 8 | 2 34 34 | 7 16 9 |
|-------------------+-------------------+-------------------|
| 5 7 d36 | 9 2 14 | 8 1346 136 |
|c34 1 9 | 5 8 6 |b34 2 7 |
| 8 46 2 | 34 7 13 | 5 9 16 |
|-------------------+-------------------+-------------------|
| 134 9 5 | 7 134 2 | 6 13 8 |
| 2 8 e136 | 36 5 9 |a13 7 4 |
| 1346 46 7 | 346 134 8 | 9 5 2 |
*-----------------------------------------------------------*
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Notice the conflicting chain (terminology?) marked abcde.
If a=3 then b<>3, then c=3, then d<>3, then e=3 which is a conflict with the initial assumption that a=3. Thus r8c7<>3.
As an AIC, the chain is (3)r8c7 - r5c7 = r5c1 - r4c3 = r8c3; r8c7<>3.
To complete the puzzle, I used a x-wing 4 in r69c24 and a BUG+1 sets r4c9=6.
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Mar 05, 2010 6:53 pm Post subject: |
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| Code: | c24 X-Wing <> 4 r6c6,r9c15
<46+3> XY-Wing r6c2/r4c3+r6c4 <> 3 r4c6
<34+6> XY-Wing r6c4/r6c2+r8c4 <> 6 r8c2
c37 X-Wing <> 1 r1c89
c3b9 turbot fish/ER <> 3 r4c8
<16+3> XY-Wing r3c8/r1c9+r7c8 <> 3 r1c8
<46+3> XY-Wing r4c8/r4c3+r5c7 <> 3 r4c9,r5c1
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I don't recall which steps were necessary. |
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