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Jan 20 VH

 
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Wed Jan 20, 2010 4:01 am    Post subject: Jan 20 VH Reply with quote

The old reliable does it again, but there are interesting alternate paths.

A Solution: 569 xy-wing does it in one stroke; but there is an interesting 78 UR which creates a virtual cell (46) leaving R2C9 = 8, yet that requires further steps.

Early Earl
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Marty R.



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

PostPosted: Wed Jan 20, 2010 4:47 am    Post subject: Reply with quote

There were also W-Wings available, one on 69 and two on 56, using two different pairs of 56 cells.
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada

PostPosted: Wed Jan 20, 2010 1:40 pm    Post subject: Reply with quote

I actually ended up using 4 steps (sans wings).

Type 4 UR (78)
sky (or ER) on 6
sky on 5
Bug+1

Good one!
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arkietech



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

PostPosted: Wed Jan 20, 2010 3:45 pm    Post subject: Reply with quote

The w-wing 56 removing the 5 in r8c1 makes it a one stepper.

Two good ones in a row! Very Happy
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Ema Nymton



Joined: 17 Apr 2009
Posts: 89

PostPosted: Thu Jan 21, 2010 11:12 am    Post subject: Reply with quote

.

Please,

arkietech wrote:
The w-wing 56 removing the 5 in r8c1 makes it a one stepper.

Two good ones in a row! :D


Given:

Code:

+------------+------------+------------+
| 56  1   8  | 456 46  9  | 7   3  2   |
| 3   256 4  | 56  7   12 | 158 9  58  |
| 7   9   25 | 3   8   12 | 145 6  45  |
+------------+------------+------------+
| 8   3   9  | 7   2   4  | 6   5  1   |
| 1   25  25 | 9   3   6  | 48  78 478 |
| 4   7   6  | 8   1   5  | 3   2  9   |
+------------+------------+------------+
| 69  4   1  | 2   5   3  | 89  78 678 |
| 569 8   3  | 46  469 7  | 2   1  56  |
| 2   56  7  | 1   69  8  | 59  4  3   |
+------------+------------+------------+


Walk one through this. It may be obvious to some, but for others, the reasoning is obscure.

How does the sets of '56' remove the '5' in r8c1?

Thank you.

Ema Nymton
~@:o?
.

http://www.brainbashers.com/sudokuhelp.asp
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Marty R.



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

PostPosted: Thu Jan 21, 2010 4:45 pm    Post subject: Reply with quote

Ema Nymton wrote:
.

Please,

arkietech wrote:
The w-wing 56 removing the 5 in r8c1 makes it a one stepper.

Two good ones in a row! Very Happy


Given:

Code:

+------------+------------+------------+
| 56  1   8  | 456 46  9  | 7   3  2   |
| 3   256 4  | 56  7   12 | 158 9  58  |
| 7   9   25 | 3   8   12 | 145 6  45  |
+------------+------------+------------+
| 8   3   9  | 7   2   4  | 6   5  1   |
| 1   25  25 | 9   3   6  | 48  78 478 |
| 4   7   6  | 8   1   5  | 3   2  9   |
+------------+------------+------------+
| 69  4   1  | 2   5   3  | 89  78 678 |
| 569 8   3  | 46  469 7  | 2   1  56  |
| 2   56  7  | 1   69  8  | 59  4  3   |
+------------+------------+------------+


Walk one through this. It may be obvious to some, but for others, the reasoning is obscure.

How does the sets of '56' remove the '5' in r8c1?

Thank you.

Ema Nymton
~@Surprised?
.

http://www.brainbashers.com/sudokuhelp.asp

Ema,

Note the 6s in row 7. If R7c1=6 then r9c2 must be = 5. If r7c9=6, then r8c9 must be = 5. Since one or the other must be = 5, then no cell seeing both 5s can contain a 5.

Note "Chapter 4" here for a general view of the W-Wing.

http://www.dailysudoku.co.uk/sudoku/forums/viewtopic.php?t=2143
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