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All those bivalue cells!

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Jun 08, 2008 7:33 pm    Post subject: All those bivalue cells! Reply with quote

Code:
Puzzle: M3511147sh(23)
+-------+-------+-------+
| 3 . . | . . 5 | . . 8 |
| . 5 . | . 8 . | . 9 . |
| 4 . 8 | . 9 . | 7 . 5 |
+-------+-------+-------+
| . . . | 6 1 . | . . . |
| . 1 6 | . . . | 8 4 . |
| . . . | . 7 9 | . . . |
+-------+-------+-------+
| 8 . 4 | . 2 . | 5 . 3 |
| . 3 . | . 4 . | . 8 . |
| 9 . . | 1 . . | . . 4 |
+-------+-------+-------+

I didn't have to use Medusa, but I was tempted ...
Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Jun 08, 2008 8:05 pm    Post subject: Reply with quote

Code:
.---------------.---------------.---------------.
| 3    9    17  | 47   6    5   | 14   2    8   |
|#16   5    27  | 47   8    23  | 34   9   #16  |
| 4   #26   8   | 23   9    1   | 7   #36   5   |
:---------------+---------------+---------------:
| 25   8    9   | 6    1    4   | 23   357  27  |
| 7    1    6   | 23   5    23  | 8    4    9   |
| 25   4    3   | 8    7    9   | 126  56   126 |
:---------------+---------------+---------------:
| 8    67   4   | 9    2    67  | 5    1    3   |
| 16   3    12  | 5    4    67  | 9    8    267 |
| 9   #267  5   | 1    3    8   |#26  -67   4   |
'---------------'---------------'---------------'


marked is an extended M-wing
(6=2)r9c7-(2)r9c2=(2-6)r3c2=(6)r2c1-(6)r2c9=(6)r3c8; r9c8<>6

leaves this

Code:
.---------------.---------------.---------------.
| 3    9    17  | 47   6    5   | 14   2    8   |
| 16   5    27  | 47   8    23  | 34   9    16  |
| 4    26   8   | 23   9    1   | 7    36   5   |
:---------------+---------------+---------------:
| 25   8    9   | 6    1    4   | 23   35   7   |
| 7    1    6   | 23   5    23  | 8    4    9   |
| 25   4    3   | 8    7    9   | 126  56   126 |
:---------------+---------------+---------------:
| 8    7    4   | 9    2    6   | 5    1    3   |
| 16   3    12  | 5    4    67  | 9    8    26  |
| 9    26   5   | 1    3    8   | 26   7    4   |
'---------------'---------------'---------------'


x-wing on 6, and its done.

Ravel wrote:
Quote:
Hi Norm,

i suggest not to post "standard" solutions immediately after the puzzle, because it could spoil the fun for others.

Maybe you could use white Font colour for your text, so that people have to mark the text to be able to read it, like this:
This is my solution
or
solution wrote:
This is my solution


I can't find a good reason why I should comply with this.
#1, Ravel is not a moderator
#2. if my posts aren't warranted then its the moderators decision to delete my postings.
#3... Rolling Eyes my fault for being so fast to post. didn't know there was a time limit.


Last edited by storm_norm on Sun Jun 08, 2008 8:26 pm; edited 2 times in total
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Jun 08, 2008 8:12 pm    Post subject: Reply with quote

Quote:
marked is an extended M-wing

Code:
.---------------.---------------.---------------.
| 3    9    17  | 47   6    5   | 14   2    8   |
| 16   5    27  | 47   8    23  | 34   9    16  |
| 4   #26   8   | 23   9    1   | 7   #36   5   |
:---------------+---------------+---------------:
| 25   8    9   | 6    1    4   | 23   357  27  |
| 7    1    6   | 23   5    23  | 8    4    9   |
| 25   4    3   | 8    7    9   | 126  56   126 |
:---------------+---------------+---------------:
| 8   @67   4   | 9    2    67  | 5    1    3   |
| 16   3    12  | 5    4    67  | 9    8    267 |
| 9   26-7  5   | 1    3    8   | 26  @67   4   |
'---------------'---------------'---------------'

Or, a W-wing which accomplishes the same thing.

Keith


Last edited by keith on Mon Jun 09, 2008 12:13 am; edited 2 times in total
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nataraj



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

PostPosted: Sun Jun 08, 2008 8:39 pm    Post subject: Reply with quote

w-wing pincers 67 in r7c2, r9c8 connected via strong link 6 in row 3.

And then, the x-wing (6), of course. But not done yet.
BUG+1 or xyz-wing (1,2,6 "pivot" r6c7)


Hm. It seems I made the same eliminations Norm and keith did. But I am pretty sure I needed that BUG+1/xyz-wing ... Must do it again tomorrow.
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Earl



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

PostPosted: Sun Jun 08, 2008 9:17 pm    Post subject: bivalves Reply with quote

Using xy-chains I came up with an apparent BUG+1 in R6C9 - which was INVALID because there was also a hiddden single in R9C7.

Earl
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Myth Jellies



Joined: 27 Jun 2006
Posts: 64

PostPosted: Mon Jun 09, 2008 6:14 am    Post subject: Reply with quote

Code:
.---------------.---------------.---------------.
| 3    9    17+ | 47+  6    5   | 14+  2    8   |
| 16+  5    27+ | 47+  8    23+ | 34+  9    16+ |
| 4    26   8   | 23+  9    1   | 7    36+  5   |
:---------------+---------------+---------------:
| 25   8    9   | 6    1    4   | 23+  37+5 27+ |
| 7    1    6   | 23+  5    23+ | 8    4    9   |
| 25   4    3   | 8    7    9   | 16+2 56   16+2|
:---------------+---------------+---------------:
| 8    67+  4   | 9    2    67+ | 5    1    3   |
| 16+  3    12+ | 5    4    67+ | 9    8    27+6|
| 9    27+6 5   | 1    3    8   | 26+  67+  4   |
'---------------'---------------'---------------'

BUG-Lite+5 ( Twisted Evil Ha ha ha ha ha)
||
(5)r4c8 - (7)r4c8 = (7)r9c8
||
(2)r6c79 - (2=7)r4c9
||
(6)r9c2 - (6=7)r9c8
||
(6)r8c9 ====> all imply r8c9 <> 7

Then either an x-wing (6)r28/c19 followed by BUG+1

or

BUG+2: (2)r6c7 =BUG= (6)r6c9 => r6c9 <> 2 & r6c7 <> 6
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