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Vanhegan fiendish June 20, 2012

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arkietech

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

Posted: Thu Jun 21, 2012 5:42 am Post subject: Vanhegan fiendish June 20, 2012

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

tlanglet

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

Posted: Thu Jun 21, 2012 1:19 pm Post subject:

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

aran

Joined: 19 Apr 2010
Posts: 70

Posted: Thu Jun 21, 2012 4:00 pm Post subject:

Code:

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

Marty R.

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

Posted: Thu Jun 21, 2012 4:40 pm Post subject:

Code:

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

tlanglet

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

Posted: Thu Jun 21, 2012 9:04 pm Post subject:

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

ronk

Joined: 07 May 2006
Posts: 398

Posted: Thu Jun 21, 2012 10:42 pm Post subject:

tlanglet wrote:

So what is a "irreducible BUG"?

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

keith

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

Posted: Fri Jun 22, 2012 1:22 am Post subject:

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

arkietech

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

Posted: Fri Jun 22, 2012 10:56 am Post subject:

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

aran

Joined: 19 Apr 2010
Posts: 70

Posted: Fri Jun 22, 2012 2:04 pm Post subject:

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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