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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Wed May 27, 2009 4:12 pm Post subject: Puzzle BBDB_002 |
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This is a mini-BBDB, but don't let that mislead you.
No chains/extensions/transports allowed.
| Code: | +-----------------------+
| . . . | . 1 9 | 2 6 7 |
| . 1 . | . . . | . 4 . |
| . . . | . . . | 8 . . |
|-------+-------+-------|
| . . . | . 9 1 | . 2 8 |
| 6 . . | 2 7 . | . 3 . |
| 1 . . | 8 . . | . . . |
|-------+-------+-------|
| 2 . 1 | . . . | 7 . 3 |
| 4 6 . | 1 3 . | . . . |
| 9 . . | 7 . . | 4 . . |
+-----------------------+
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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: Wed May 27, 2009 6:04 pm Post subject: |
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| if anyone else's last step is a pseudo cell xy-wing (a.k.a. 4 cell xy-chain), then we may have an identical solution path. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed May 27, 2009 8:31 pm Post subject: |
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| Hint wrote: | If you don't find the doubly-grouped 2-String Kite, then you will probably never find the final W-Wing.
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BTW: I consider a pseudo-cell to be an extension. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Wed May 27, 2009 8:47 pm Post subject: |
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| Quote: | | BTW: I consider a pseudo-cell to be an extension. |
noted. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Wed May 27, 2009 9:07 pm Post subject: |
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without extensions...
| Code: | .------------------------.------------------------.------------------------.
| 8 *345 *345 |*35 1 9 | 2 6 7 |
|*57 1 269 | 56 2568 25678 | 3 4 59 |
|*357 29 269 | 3456 2456 234567 | 8 59 1 |
:------------------------+------------------------+------------------------:
|*35 7 345 | 3456 9 1 | 56 2 8 |
| 6 4589 4589 | 2 7 45 | 1 3 459 |
| 1 23459 23459 | 8 456 3456 | 569 7 459 |
:------------------------+------------------------+------------------------:
| 2 58 1 | 9 46 46 | 7 58 3 |
| 4 6 7 | 1 3 58 | 59 589 2 |
| 9 358 358 | 7 258 258 | 4 1 6 |
'------------------------'------------------------'------------------------' |
either you can view the marked cells above as w-wings on both 3 and 5 (both with grouped strong links)
or you can see them as grouped linked kites on 3 and 5.
either way, you can remove the 3 and 5 from r4c4
followed by a xy-wing that removes 5 from r5c9
leads to this grid in which the removal of that 5 provides the conjugate link on 5's in col 9 needed to complete Danny's hint.
| Code: | .------------------.------------------.------------------.
| 8 345 345 | 35 1 9 | 2 6 7 |
| 57 1 269 | 56 268 2678 | 3 4 59 |
| 357 29 269 | 3456 246 2467 | 8 59 1 |
:------------------+------------------+------------------:
| 35 7 345 | 46 9 1 | 56 2 8 |
| 6 4589 4589 | 2 7 45 | 1 3 49 |
| 1 2459 2459 | 8 456 3 | 569 7 459 |
:------------------+------------------+------------------:
| 2 58 1 | 9 46 46 | 7 58 3 |
| 4 6 7 | 1 3 58 | 59 589 2 |
| 9 358 358 | 7 258 258 | 4 1 6 |
'------------------'------------------'------------------' |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed May 27, 2009 11:40 pm Post subject: |
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| Congratulations Norm. You reduced the puzzle to the shortest solution that I'm aware exists. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Wed May 27, 2009 11:48 pm Post subject: |
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| daj95376 wrote: | | Congratulations Norm. You reduced the puzzle to the shortest solution that I'm aware exists. |
this isn't the solution you were hinting at? |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu May 28, 2009 12:22 am Post subject: |
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I had a four step solution which, after reading the existing posts, are similar.
ER3 with hinge in box2 and strong link in col1 deletes 3 from r4c4,
w-wing 35 deletes 5 in r4c4,
xy-wing 456 with pivot 46 deletes 5 from r5c9,
w-wing 56 deletes 6 from r4c4.
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu May 28, 2009 4:39 am Post subject: |
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| tlanglet wrote: | I had a four step solution which, after reading the existing posts, are similar.
ER3 with hinge in box2 and strong link in col1 deletes 3 from r4c4,
w-wing 35 deletes 5 in r4c4,
xy-wing 456 with pivot 46 deletes 5 from r5c9,
w-wing 56 deletes 6 from r4c4.
Ted |
Mine was identical to Ted's, except I also played an ER on 9 in addition to the one on 3. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Thu May 28, 2009 4:59 am Post subject: |
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Here is the solution from my solver, which I've annotated. It matches my hint ... and I think it essentially matches the solutions reported by Norm, Ted, and Marty.
| Code: | r7 Naked Pair <> 58 [r7c56]
b1 Hidden Triple = 269 [r2c3],[r3c23]
r1 b1 Locked Candidate 1 <> 4 [r1c4]
r2 b2 Locked Candidate 1 <> 8 [r2c1]
2-Fish c1b5\r34 fF2 011\200 <> 3 [r3c6] turbot fish/ER -or-
2-Fish r6c1\..b4 fm 110\101 <> 3 [r3c6] grouped 2-String Kite
-- or --
2-Fish c16\r3. Sk 020\200 <> 3 [r4c4],[r6c23] Skyscraper
extraneous
2-Fish r2b6\c39 fF3 101\020 <> 9 [r6c3] Empty Rectangle
2-Fish r1c1\..b1 fm 110\101 <> 5 [r4c4] doubly-grouped 2-String Kite
c4b2 Locked Candidate 2 <> 5 [r2c56],[r3c56]
XY-Wing [r4c4]/[r4c7]+[r5c6] <> 5 [r5c9]
extraneous
2-Fish c5b7\r69 fF3 011\200 <> 5 [r6c2] Empty Rectangle
W-Wing: 6/5 in r2c4,r4c7 connected by 5 in r26c9 => r4c4<>6
+--------------------------------------------------------------+
| 8 345 345 | 35 1 9 | 2 6 7 |
| 57 1 269 | *56 268 2678 | 3 4 %59 |
| 357 29 269 | 3456 246 2467 | 8 59 1 |
|--------------------+--------------------+--------------------|
| 35 7 345 | 4-6 9 1 | *56 2 8 |
| 6 4589 4589 | 2 7 45 | 1 3 49 |
| 1 249 245 | 8 456 3 | 569 7 %459 |
|--------------------+--------------------+--------------------|
| 2 58 1 | 9 46 46 | 7 58 3 |
| 4 6 7 | 1 3 58 | 59 589 2 |
| 9 358 358 | 7 258 258 | 4 1 6 |
+--------------------------------------------------------------+
# 68 eliminations remain
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Note: The W-Wing from my solver is in a compact notation that I use. So, I substituted a more readable description from HoDoKu in its place. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu May 28, 2009 10:32 am Post subject: |
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| Marty R. wrote: | | tlanglet wrote: | I had a four step solution which, after reading the existing posts, are similar.
ER3 with hinge in box2 and strong link in col1 deletes 3 from r4c4,
w-wing 35 deletes 5 in r4c4,
xy-wing 456 with pivot 46 deletes 5 from r5c9,
w-wing 56 deletes 6 from r4c4.
Ted |
Mine was identical to Ted's, except I also played an ER on 9 in addition to the one on 3. |
Marty, on my first pass I also had an ER on 9, but it was not required to complete the puzzle so I omitted it in my post.
Ted |
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