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A Vanhegan vh

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keith

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

Posted: Sat Mar 10, 2012 9:11 pm Post subject: A Vanhegan vh

Code:

Puzzle: VH4-1044182vh2.1.1.1
+-------+-------+-------+
| . . 9 | 1 . . | 5 7 . |
| . . . | . . 2 | . . 3 |
| . . . | . . 5 | 6 4 . |
+-------+-------+-------+
| . . . | 5 8 . | . 3 . |
| 1 3 . | 6 . 4 | . 5 8 |
| . 5 . | . 2 9 | . . . |
+-------+-------+-------+
| . 1 6 | 8 . . | . . . |
| 4 . . | 2 . . | . . . |
| . 8 5 | . . 3 | 4 . . |
+-------+-------+-------+

Keith

arkietech

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

Posted: Sat Mar 10, 2012 9:47 pm Post subject:

Code:

*-----------------------------------------------------------*
| 36 4 9 | 1 36 8 | 5 7 2 |
| 5 *67 17 | 4 *69 2 | 18 18-9 3 |
| 38 2 18 | 7 3-9 5 | 6 4 x19 |
|-------------------+-------------------+-------------------|
| 679 679 47 | 5 8 1 | 2 3 467 |
| 1 3 2 | 6 7 4 | 9 5 8 |
| 678 5 478 | 3 2 9 | 17 16 1467 |
|-------------------+-------------------+-------------------|
| 29 1 6 | 8 4 7 | 3 29 5 |
| 4 *79 3 | 2 5 6 | 178 189 x179 |
| 27 8 5 | 9 1 3 | 4 26 67 |
*-----------------------------------------------------------*
xy-wing extended
(9=6)r2c5-(6=7)r2c2-(7=9)r8c2-(9)r8c9=(9)r3c9 => r2c8,r3c5<>9

Later a bug+1 finishes it.

keith

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

Posted: Sat Mar 10, 2012 10:59 pm Post subject:

After basics:

Code:

+----------------+----------------+----------------+
| 36 4 9 | 1 36 8 | 5 7 2 |
| 5 b67 17 | 4 a69 2 | 18 18-9 3 |
| 38 2 18 | 7 39 5 | 6 4 19 |
+----------------+----------------+----------------+
| 679 c679 47 | 5 8 1 | 2 3 467 |
| 1 3 2 | 6 7 4 | 9 5 8 |
| 678 5 478 | 3 2 9 | 17 16 1467 |
+----------------+----------------+----------------+
|e29 1 6 | 8 4 7 | 3 f29 5 |
| 4 d79 3 | 2 5 6 | 178 189 179 |
| 27 8 5 | 9 1 3 | 4 26 67 |
+----------------+----------------+----------------+

The 18 UR makes a 27 pseudo-cell in B9, which takes out 7 in R8C9, but that didn't take me very far.

M-wing: 6 in a forces 6 in c. ad are pincers on 9. With transport def, R2C8 <>9. That leads to a BUG+1, which can also be solved by an XY-wing or a skyscraper on 7.

Keith

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Mar 11, 2012 4:24 pm Post subject:

Playing with a network solution from my solver lead to:

Code:

If r6c1=67 then ...

(6=7)r6c1 - (7=2)r9c1 - (2=6)r9c8 => r6c8<>6

<47> UR r46c39 ...

(6)r46c9 - (6)r6c8
(1)r 6c9 - r3c9 = (1-8)r3c3 = r3c1 - (8=67)r6c1 - (6)r6c8
(8)r 6c3 - (8=67)r6c1 - (6)r6c8
+--------------------------------------------------------------+
| 36 4 9 | 1 36 8 | 5 7 2 |
| 5 67 17 | 4 69 2 | 18 189 3 |
| 38 2 18 | 7 39 5 | 6 4 19 |
|--------------------+--------------------+--------------------|
| 679 679 *47 | 5 8 1 | 2 3 47+6 |
| 1 3 2 | 6 7 4 | 9 5 8 |
| 678 5 *47+8 | 3 2 9 | 17 1-6 47+16 |
|--------------------+--------------------+--------------------|
| 29 1 6 | 8 4 7 | 3 29 5 |
| 4 79 3 | 2 5 6 | 178 189 179 |
| 27 8 5 | 9 1 3 | 4 26 67 |
+--------------------------------------------------------------+
# 40 eliminations remain

keith

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

Posted: Mon Mar 12, 2012 4:35 am Post subject:

Danny, I noticed that, but thought it was kind of obvious ... NOT! Nice find! My kind of move. Keith

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Mon Mar 12, 2012 6:01 am Post subject:

keith wrote:

I noticed that, but thought it was kind of obvious ...

NOT!

Nice find! My kind of move.

Keith, Thanks!

I had a difficult time taking the (simple) network contradiction found by my solver and unwinding it into something interesting.

Code:

solver: 6r6c8 2r9c8 7r9c1 8r6c1 8r3c3 1r3c9 [r46c39]=UR47

I was able to unwind the logic to r6c1, but it took awhile to realize that I could treat the logic from there as a separate entity. Once I'd prepared the final results, I had to share it.

Regards, Danny

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