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mm 1734... 4-9-10

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Apr 11, 2010 12:20 am    Post subject: mm 1734... 4-9-10 Reply with quote

000080001270000000108030209009500300043000150001004000900010806000000020800050000

Code:

+-------+-------+-------+
| . . . | . 8 . | . . 1 |
| 2 7 . | . . . | . . . |
| 1 . 8 | . 3 . | 2 . 9 |
+-------+-------+-------+
| . . 9 | 5 . . | 3 . . |
| . 4 3 | . . . | 1 5 . |
| . . 1 | . . 4 | . . . |
+-------+-------+-------+
| 9 . . | . 1 . | 8 . 6 |
| . . . | . . . | . 2 . |
| 8 . . | . 5 . | . . . |
+-------+-------+-------+

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Quote:
extend the 67 w-wing. its pincers are in r3c4 and r8c3. the extension goes through the grouped linked in box 8 on 7's.
eliminates the 7 in r3c6.
actually on second glance, a ER on 6's will do it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sun Apr 11, 2010 5:05 am    Post subject: Reply with quote

All those 67s, but I couldn't find a W-Wing. But an XY-Wing (367) and multi-coloring (6) did the job. The previous three puzzle were ultra easy but this was a tough nut to crack even though there were just a few moves.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Sun Apr 11, 2010 1:39 pm    Post subject: Reply with quote

I also used the w-wing 67.

Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Mon Apr 12, 2010 12:14 pm    Post subject: Reply with quote

I found a handful of +/- useless w-wings.
But one of them did it: a 56 w-wing (6)r1c6=r2c3 via SL (5) in row 2 removes 6 from r9c6
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Tue Apr 13, 2010 3:33 pm    Post subject: Reply with quote

I didn't find any w-wings but here is a one step chain:
Code:
 *--------------------------------------------------*
 | 3    9    4    | 2    8    56   | 567  67   1    |
 | 2    7    56   | 1    4    9    | 56   38   38   |
 | 1    56   8    | 67   3    567  | 2    4    9    |
 |----------------+----------------+----------------|
 | 67   28   9    | 5    267  1    | 3    678  4    |
 | 67   4    3    | 67   9    8    | 1    5    2    |
 | 5    28   1    | 3    267  4    | 67   9    78   |
 |----------------+----------------+----------------|
 | 9    35   257  | 4    1    27   | 8    37   6    |
 | 4    1    67   | 8    67   3    | 9    2    5    |
 | 8    36   267  | 9    5    267  | 4    1    37   |
 *--------------------------------------------------*
(6)r6c7=r6c5-r5c4=r3c4-(6=5)r3c2-(5=3)r7c2-(3=7)r7c8-(7=6)r1c8; r12c7,r4c8<>6
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Tue Apr 13, 2010 4:54 pm    Post subject: Reply with quote

Oops Embarassed , I was so confused by the various useless and marginally useful wings that I failed to mention that the w-wing I described does not eliminate the candidate directly, but only after transport from r2c3 to r9c2.

AND ... Embarassed Embarassed the strong link on 5 that holds the w-wing together is in row 3 rather than row 2.

AND ... Embarassed Embarassed Embarassed now that I look at the whole "transported w-wing" I see that it is just a simple m-wing:

Code:

+--------------------------+--------------------------+--------------------------+
| 3       9       4        | 2       8       56*      | 567     67      1        |
| 2       7       56(w)    | 1       4       9        | 56      38      38       |
| 1       56#     8        | 67      3       567#     | 2       4       9        |
+--------------------------+--------------------------+--------------------------+
| 67      28      9        | 5       267     1        | 3       678     4        |
| 67      4       3        | 67      9       8        | 1       5       2        |
| 5       28      1        | 3       267     4        | 67      9       78       |
+--------------------------+--------------------------+--------------------------+
| 9       35      257      | 4       1       27       | 8       37      6        |
| 4       1       67       | 8       67      3        | 9       2       5        |
| 8       36*     267      | 9       5       2-67     | 4       1       37       |
+--------------------------+--------------------------+--------------------------+


Sorry for the confusion ...
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