Vanhegan Fiendish September 11, 2013

Post puzzles for others to solve here.

Vanhegan Fiendish September 11, 2013

Postby ArkieTech » Fri Sep 13, 2013 12:18 am

Code: Select all
 *-----------*
 |9.5|64.|..7|
 |..1|..8|.9.|
 |.4.|9..|...|
 |---+---+---|
 |32.|4.6|9..|
 |...|...|...|
 |..4|7.9|.26|
 |---+---+---|
 |...|..3|.6.|
 |.8.|1..|2..|
 |6..|.74|5.8|
 *-----------*


Play/Print this puzzle online
dan
User avatar
ArkieTech
 
Posts: 2623
Joined: 29 May 2006
Location: NW Arkansas USA

Re: Vanhegan Fiendish September 11, 2013

Postby Leren » Fri Sep 13, 2013 12:47 am

Code: Select all
*--------------------------------------------------------------*
| 9     3     5      | 6     4     2      | 18    18    7      |
| 27    67    1      | 35    35    8      | 46    9     24     |
| 28    4    e268    | 9     1     7      |f6-3   5     23     |
|--------------------+--------------------+--------------------|
| 3     2    d78     | 4    c58    6      | 9     178   15     |
| 578   69    69     | 35    2     1      | 3478  478   345    |
| 158   15    4      | 7    b358   9      |a38    2     6      |
|--------------------+--------------------+--------------------|
| 12457 157   27     | 8     9     3      | 147   6     14     |
| 47    8     37     | 1     6     5      | 2     347   9      |
| 6     19    39     | 2     7     4      | 5     13    8      |
*--------------------------------------------------------------*

(3) r6c7 = (3-8) r6c5 = r4c5 - r4c3 = (8-6) r3c3 = (6) r3c7 => - 3 r3c7; stte

Leren
Leren
 
Posts: 2842
Joined: 03 June 2012

Re: Vanhegan Fiendish September 11, 2013

Postby pjb » Fri Sep 13, 2013 7:15 am

Code: Select all
 9      3      5      | 6      4      2      | 18     18     7     
c27    d67     1      | 35     35     8      | 46     9     b24     
 28     4      268    | 9      1      7      | 36     5      23     
 ---------------------+----------------------+---------------------
 3      2      78     | 4      58     6      | 9      178    15     
 578   e69     69     | 35     2      1      | 3478   478    345   
 158    15     4      | 7      358    9      | 38     2      6     
 ---------------------+----------------------+---------------------
 2457-1 57-1   27     | 8      9      3      | 147    6     a14     
 47     8      37     | 1      6      5      | 2      347    9     
 6     f19     39     | 2      7      4      | 5      3-1    8     

Longish XY chain:
(1=4) r7c9 - (4=2) r2c9 - (2=7) r2c1 - (7=6) r2c2 - (6=9) r5c2 - (9=1) r9c2 => -1 r7c12, r9c8; stte

Phil
pjb
2014 Supporter
 
Posts: 1671
Joined: 11 September 2011
Location: Sydney, Australia

Re: Vanhegan Fiendish September 11, 2013

Postby ArkieTech » Fri Sep 13, 2013 12:36 pm

Code: Select all
 *--------------------------------------------------------------------*
 | 9      3      5      | 6      4      2      | 18     18     7      |
 | 27     67     1      | 35     35     8      | 46     9     c24     |
 | 28     4      268    | 9      1      7      |c36     5     c23     |
 |----------------------+----------------------+----------------------|
 | 3      2      78     | 4      58     6      | 9      178    15     |
 | 578    69    a69     | 35     2      1      | 3478   478    345    |
 | 158    15     4      | 7      358    9      | 38     2      6      |
 |----------------------+----------------------+----------------------|
 | 12457  157    27     | 8      9      3      | 147    6     b14     |
 | 47     8      37     | 1      6      5      | 2      347    9      |
 | 6      19    a39     | 2      7      4      | 5     b13     8      |
 *--------------------------------------------------------------------*
(6=3)r59c3-(3=4)r9c8,r7c9-(4=6)r2c9,r3c79 => -6r3c3; ste
dan
User avatar
ArkieTech
 
Posts: 2623
Joined: 29 May 2006
Location: NW Arkansas USA

Re: Vanhegan Fiendish September 11, 2013

Postby Ngisa » Fri Sep 13, 2013 4:53 pm

Another very long XY-Chain:-
(9=6)r5c2-(6=9)r5c3-(9=3)r9c3-(3=1)r9c8-(1=4)r7c9-(4=2)r2c9-(2=7)r2c1-(7=6)r2c2-(6=9)r5c2 => r9c2<>9; stte.
Ngisa
 
Posts: 602
Joined: 18 November 2012

Re: Vanhegan Fiendish September 11, 2013

Postby Marty R. » Fri Sep 13, 2013 4:59 pm

Code: Select all
+---------------+----------+--------------+
| 9     3   5   | 6  4   2 | 18   18  7   |
| 27    67  1   | 35 35  8 | 46   9   24  |
| 28    4   268 | 9  1   7 | 36   5   23  |
+---------------+----------+--------------+
| 3     2   78  | 4  58  6 | 9    178 15  |
| 578   69  69  | 35 2   1 | 3478 478 345 |
| 158   15  4   | 7  358 9 | 38   2   6   |
+---------------+----------+--------------+
| 12457 157 27  | 8  9   3 | 147  6   14  |
| 47    8   37  | 1  6   5 | 2    347 9   |
| 6     19  39  | 2  7   4 | 5    13  8   |
+---------------+----------+--------------+

Play this puzzle online at the Daily Sudoku site

XY-Chain (7=8)r4c3-(8=5)r4c5-(5=1)r4c9-(1=4)r7c9-(4=2)r2c9-(2=7)r2c1=>r5c1<>7

A non-chain solution is Finned X-Wing on 7 in r48 which opens up an XY-Wing on 36-8, pivot r3c7, with transport
Marty R.
 
Posts: 1403
Joined: 23 October 2012
Location: Rochester, New York, USA

Re: Vanhegan Fiendish September 11, 2013

Postby daj95376 » Fri Sep 13, 2013 5:15 pm

Marty R. wrote:
Code: Select all
+---------------+----------+--------------+
| 9     3   5   | 6  4   2 | 18   18  7   |
| 27    67  1   | 35 35  8 | 46   9   24  |
| 28    4   268 | 9  1   7 | 36   5   23  |
+---------------+----------+--------------+
| 3     2   78  | 4  58  6 | 9    178 15  |
| 578   69  69  | 35 2   1 | 3478 478 345 |
| 158   15  4   | 7  358 9 | 38   2   6   |
+---------------+----------+--------------+
| 12457 157 27  | 8  9   3 | 147  6   14  |
| 47    8   37  | 1  6   5 | 2    347 9   |
| 6     19  39  | 2  7   4 | 5    13  8   |
+---------------+----------+--------------+

A non-chain solution is Finned X-Wing on 7 in r48 which opens up an XY-Wing on 36-8, pivot r3c7, with transport

Marty, when you add with transport to an XY-Wing, you turn it into a chain. In this case:

Code: Select all
(8=6)r3c3 - (6=3)r3c7 - (3=8)r6c7 - (8)r6c5 = (8)r4c5  =>  r4c3<>8
daj95376
2014 Supporter
 
Posts: 2624
Joined: 15 May 2006

Re: Vanhegan Fiendish September 11, 2013

Postby Marty R. » Fri Sep 13, 2013 5:39 pm

daj95376 wrote:
Marty R. wrote:
Code: Select all
+---------------+----------+--------------+
| 9     3   5   | 6  4   2 | 18   18  7   |
| 27    67  1   | 35 35  8 | 46   9   24  |
| 28    4   268 | 9  1   7 | 36   5   23  |
+---------------+----------+--------------+
| 3     2   78  | 4  58  6 | 9    178 15  |
| 578   69  69  | 35 2   1 | 3478 478 345 |
| 158   15  4   | 7  358 9 | 38   2   6   |
+---------------+----------+--------------+
| 12457 157 27  | 8  9   3 | 147  6   14  |
| 47    8   37  | 1  6   5 | 2    347 9   |
| 6     19  39  | 2  7   4 | 5    13  8   |
+---------------+----------+--------------+

A non-chain solution is Finned X-Wing on 7 in r48 which opens up an XY-Wing on 36-8, pivot r3c7, with transport

Marty, when you add with transport to an XY-Wing, you turn it into a chain. In this case:

Code: Select all
(8=6)r3c3 - (6=3)r3c7 - (3=8)r6c7 - (8)r6c5 = (8)r4c5  =>  r4c3<>8


Danny,

I called it non-chain because it started off as a pattern-based move, even though the XY-Wing by itself is a three-cell XY-Chain. Is there a standard definition of a chain? I would tend to call M- and W-Wings pattern-based, with or without transport, because of the way I originally noticed the move, even though both are chains.

Marty
Marty R.
 
Posts: 1403
Joined: 23 October 2012
Location: Rochester, New York, USA

Re: Vanhegan Fiendish September 11, 2013

Postby daj95376 » Sat Sep 14, 2013 4:29 am

Marty R. wrote:I called it non-chain because it started off as a pattern-based move, even though the XY-Wing by itself is a three-cell XY-Chain. Is there a standard definition of a chain? I would tend to call M- and W-Wings pattern-based, with or without transport, because of the way I originally noticed the move, even though both are chains.

As you mentioned, pattern based moves like the XY-Wing can be expressed as a chain. Because some pattern-based moves are so common and easy to identify, they've been given names that (seem to) lift them above the common category of a chain. However, when you use the pattern as only part of the logic in a step, then the step falls back into the general category of chain, IMO.
daj95376
2014 Supporter
 
Posts: 2624
Joined: 15 May 2006


Return to Puzzles