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Vanhegan fiendish June 20, 2012

 
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arkietech



Joined: 31 Jul 2008
Posts: 1687
Location: Northwest Arkansas USA

PostPosted: Thu Jun 21, 2012 5:42 am    Post subject: Vanhegan fiendish June 20, 2012 Reply with quote

Code:
 *-----------*
 |1..|2.8|.5.|
 |.2.|.35|..4|
 |...|419|.78|
 |---+---+---|
 |.3.|196|...|
 |...|...|...|
 |...|374|.1.|
 |---+---+---|
 |65.|981|...|
 |8..|52.|.9.|
 |.1.|6.3|..5|
 *-----------*


Play/Print online
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Thu Jun 21, 2012 1:19 pm    Post subject: Reply with quote

Code after basics:
Code:
 *--------------------------------------------------*
 | 1    7    4    | 2    6    8    | 39   5    39   |
 | 9    2    8    | 7    3    5    | 1    6    4    |
 | 3    6    5    | 4    1    9    | 2    7    8    |
 |----------------+----------------+----------------|
 | 45   3    27   | 1    9    6    | 458  48   27   |
 | 47   9    1    | 8    5    2    | 347  34   6    |
 | 25   8    6    | 3    7    4    | 59   1    29   |
 |----------------+----------------+----------------|
 | 6    5    27   | 9    8    1    | 347  234  37   |
 | 8    4    3    | 5    2    7    | 6    9    1    |
 | 27   1    9    | 6    4    3    | 78   28   5    |
 *--------------------------------------------------*

xy-wing(45-2) with pseudocell pincer (24)
(2=5)r6c1-(5=4)r4c1-(4=8)r4c8-(8=2)r9c8; r9c1<>2

Ted
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aran



Joined: 19 Apr 2010
Posts: 70

PostPosted: Thu Jun 21, 2012 4:00 pm    Post subject: Reply with quote

Code:
 *--------------------------------------------------*
 | 1    7    4    | 2    6    8    | 39   5    39   |
 | 9    2    8    | 7    3    5    | 1    6    4    |
 | 3    6    5    | 4    1    9    | 2    7    8    |
 |----------------+----------------+----------------|
 | 45   3    27   | 1    9    6    | 458  48   27   |
 | 47   9    1    | 8    5    2    | 347  34   6    |
 | 25   8    6    | 3    7    4    | 59   1    29   |
 |----------------+----------------+----------------|
 | 6    5    27   | 9    8    1    | 347  234  37   |
 | 8    4    3    | 5    2    7    | 6    9    1    |
 | 27   1    9    | 6    4    3    | 78   28   5    |
 *--------------------------------------------------*

<4>r7c8=>irreducible BUG=>4r7c8
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Marty R.



Joined: 12 Feb 2006
Posts: 5064
Location: Rochester, NY, USA

PostPosted: Thu Jun 21, 2012 4:40 pm    Post subject: Reply with quote

Code:
*--------------------------------------------------*
 | 1    7    4    | 2    6    8    | 39   5    39   |
 | 9    2    8    | 7    3    5    | 1    6    4    |
 | 3    6    5    | 4    1    9    | 2    7    8    |
 |----------------+----------------+----------------|
 | 45   3    27   | 1    9    6    | 458  48   27   |
 | 47   9    1    | 8    5    2    | 347  34   6    |
 | 25   8    6    | 3    7    4    | 59   1    29   |
 |----------------+----------------+----------------|
 | 6    5    27   | 9    8    1    | 347  234  37   |
 | 8    4    3    | 5    2    7    | 6    9    1    |
 | 27   1    9    | 6    4    3    | 78   28   5    |
 *--------------------------------------------------*


XY-Chain. R9c8=8--->r7c3=2; r9c1<>2.
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Thu Jun 21, 2012 9:04 pm    Post subject: Reply with quote

aran wrote:

<4>r7c8=>irreducible BUG=>4r7c8


I am lost. So what is a "irreducible BUG"? I believe I understand the two terms "irreducible" and "BUG" but the combination is over my head.

I previously found, but did not post, an AUR(34)r57c78 that results in r7c8<>3 which then sets up a BUG+2 to complete the puzzle. However, that does not help me to understand the "irreducible BUG" solution.

Ted
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Thu Jun 21, 2012 10:42 pm    Post subject: Reply with quote

tlanglet wrote:
So what is a "irreducible BUG"?

By definition a BUG is irreducible, so "irreducible BUG" is merely redundant.
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keith



Joined: 19 Sep 2005
Posts: 3136
Location: near Detroit, Michigan, USA

PostPosted: Fri Jun 22, 2012 1:22 am    Post subject: Reply with quote

ronk wrote:
tlanglet wrote:
So what is a "irreducible BUG"?

By definition a BUG is irreducible, so "irreducible BUG" is merely redundant.

And "merely" is redundant? Very Happy

Keith
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arkietech



Joined: 31 Jul 2008
Posts: 1687
Location: Northwest Arkansas USA

PostPosted: Fri Jun 22, 2012 10:56 am    Post subject: Reply with quote

Code:
 *--------------------------------------------------*
 | 1    7    4    | 2    6    8    | 39   5    39   |
 | 9    2    8    | 7    3    5    | 1    6    4    |
 | 3    6    5    | 4    1    9    | 2    7    8    |
 |----------------+----------------+----------------|
 | 5-4  3    27   | 1    9    6    | 458 a48   27   |
 |c47   9    1    | 8    5    2    | 37-4 3-4  6    |
 | 25   8    6    | 3    7    4    | 59   1    29   |
 |----------------+----------------+----------------|
 | 6    5    27   | 9    8    1    | 347  234  37   |
 | 8    4    3    | 5    2    7    | 6    9    1    |
 |b27   1    9    | 6    4    3    | 78  b28   5    |
 *--------------------------------------------------*
xy-wing
(4=8)r4c8-(82=7)r9c18-(7=4)r5c1 => -4r4c1,r5c78; stte

either r4c8=4 or r5c1=4

To me b is a 87 pseudo cell
making this an 48-87-74 xy-wing
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aran



Joined: 19 Apr 2010
Posts: 70

PostPosted: Fri Jun 22, 2012 2:04 pm    Post subject: Reply with quote

ronk wrote:
tlanglet wrote:
So what is a "irreducible BUG"?

By definition a BUG is irreducible, so "irreducible BUG" is merely redundant.

You mean a bit like M-ring loop ?...

The point however being this : a grid with only bivalues may yet be reducible so is not yet BUG. Therefore to underline the importance of this distinction, reducible BUG, if pleonastic, seemed useful.
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