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Puzzle 11/07/15: ~ XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Jul 15, 2011 5:45 pm    Post subject: Puzzle 11/07/15: ~ XY Reply with quote

Code:
 +-----------------------+
 | . 6 . | . . . | . . . |
 | 2 1 . | 8 . . | . . 5 |
 | . . . | 3 . . | . . 4 |
 |-------+-------+-------|
 | . 3 7 | 5 1 . | . 6 . |
 | . . . | 6 3 . | 5 . . |
 | . . . | . . 7 | . 1 . |
 |-------+-------+-------|
 | . . . | . 8 . | 7 9 . |
 | . . . | 9 . 5 | 8 4 2 |
 | . 9 8 | . . . | . 5 6 |
 +-----------------------+

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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Fri Jul 15, 2011 7:00 pm    Post subject: Reply with quote

MUG (256) =>r4c1, r6c9<>8
Code:
 *--------------------------------------------------*
 | 358  6    345  | 127  45   129  | 129  38   17   |
 | 2    1    34   | 8    47   69   | 69   37   5    |
 | 7    58   9    | 3    25   16   | 16   28   4    |
 |----------------+----------------+----------------|
 |-89   3    7    | 5    1    24   | 24   6    89   |
 | 19   4    12   | 6    3    8    | 5    27   79   |
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 |----------------+----------------+----------------|
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 | 13   7    13   | 9    6    5    | 8    4    2    |
 | 4    9    8    | 127  27   123  | 13   5    6    |
 *--------------------------------------------------*
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Marty R.



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

PostPosted: Sat Jul 16, 2011 4:54 am    Post subject: Reply with quote

Looking at the potential 56 DP in boxes 47: either r67c3=2 or r6c1=8. Common outcome; r2c8=3.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Sat Jul 16, 2011 6:11 am    Post subject: Reply with quote

A short xy-chain...
Code:
xy-chain ; (3=7)r2c8 - (7=2)r5c8 - (2=1)r5c3 - (1=3)r9c3 ; r2c3<>3
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tlanglet



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

PostPosted: Sat Jul 16, 2011 1:59 pm    Post subject: Reply with quote

AMUG(256)r67c123[(2)r5c3=(5)r67c3]-(5=34)r12c3-(3=1)r8c3-(1=2)r5c3; r5c3=2

Ted
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tlanglet



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

PostPosted: Sat Jul 16, 2011 2:05 pm    Post subject: Reply with quote

Luke451 wrote:
MUG (256) =>r4c1, r6c9<>8
Code:
 *--------------------------------------------------*
 | 358  6    345  | 127  45   129  | 129  38   17   |
 | 2    1    34   | 8    47   69   | 69   37   5    |
 | 7    58   9    | 3    25   16   | 16   28   4    |
 |----------------+----------------+----------------|
 |-89   3    7    | 5    1    24   | 24   6    89   |
 | 19   4    12   | 6    3    8    | 5    27   79   |
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 |----------------+----------------+----------------|
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 | 13   7    13   | 9    6    5    | 8    4    2    |
 | 4    9    8    | 127  27   123  | 13   5    6    |
 *--------------------------------------------------*


Howdy Luke
,

Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells.

Ted
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tlanglet



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

PostPosted: Sat Jul 16, 2011 2:12 pm    Post subject: Reply with quote

peterj wrote:
A short xy-chain...
Code:
xy-chain ; (3=7)r2c8 - (7=2)r5c8 - (2=1)r5c3 - (1=3)r9c3 ; r2c3<>3


Peter
, I think Keith would call your xy-chain a xy-wing with pseudocell (23)r58c3.

Ted
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tlanglet



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

PostPosted: Sat Jul 16, 2011 2:20 pm    Post subject: Reply with quote

As usual, I also look for reliable anp()s and found this one.......

anp(34=5)r21c3-(5=8)r3c2-(8=2)r3c8-r5c8=(2-1)r5c3=(1-3)r8c3; r8c3<>3=1

This path uses a bit of my original AMUG and also part of Peter's xy-chain.

Ted
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Sat Jul 16, 2011 2:48 pm    Post subject: Reply with quote

tlanglet wrote:
Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells.

It looks like you've taken the BUG-Lite approach. For the MUG, digits <256> are allowed in all six cells.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Jul 16, 2011 5:44 pm    Post subject: Reply with quote

Stumbled across this after reading Luke's solution and reviewing output from my solver.

Code:
 after basics
 +-----------------------------------------------------+
 |  358  6    345  |  127  45   129  |  129  38   17   |
 |  2    1    34   |  8    47   69   |  69   37   5    |
 |  7    58   9    |  3    25   16   |  16   28   4    |
 |-----------------+-----------------+-----------------|
 |  89   3    7    |  5    1    24   |  24   6    89   |
 |  19   4    12   |  6    3    8    |  5    27   79   |
 |  568  258  256  |  24   9    7    |  234  1    38   |
 |-----------------+-----------------+-----------------|
 |  56   25   256  |  14   8    134  |  7    9    13   |
 |  13   7    13   |  9    6    5    |  8    4    2    |
 |  4    9    8    |  127  27   123  |  13   5    6    |
 +-----------------------------------------------------+
 # 57 eliminations remain

<56> UR r67c13  =>  (5)r67c2 - (5)r3c2
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Sun Jul 17, 2011 3:32 am    Post subject: Reply with quote

tlanglet wrote:
Luke451 wrote:
MUG (256) =>r4c1, r6c9<>8
Code:
 *--------------------------------------------------*
 | 358  6    345  | 127  45   129  | 129  38   17   |
 | 2    1    34   | 8    47   69   | 69   37   5    |
 | 7    58   9    | 3    25   16   | 16   28   4    |
 |----------------+----------------+----------------|
 |-89   3    7    | 5    1    24   | 24   6    89   |
 | 19   4    12   | 6    3    8    | 5    27   79   |
 |*568 *258 *256  | 24   9    7    | 234  1   3-8   |
 |----------------+----------------+----------------|
 |*56  *25  *256  | 14   8    134  | 7    9    13   |
 | 13   7    13   | 9    6    5    | 8    4    2    |
 | 4    9    8    | 127  27   123  | 13   5    6    |
 *--------------------------------------------------*


Howdy Luke
,

Have I messed up a AMUG again? I considered r67c3=5 as part of the SIS since they are not an explicit AMUG digit for those two cells.

Ted

I’ve messed up many a MUG, but I don’t think you have here.

DPs are fascinating, and it’s interesting this one was seen by different players for its UR, BUG-Lite, or MUG possibilities.

I saw it as a MUG:
Code:
+------------------+
| .     .    .     |
| .     .    .     |     
| 56    25   256   |     
+------------------+
| 56    25   256   |     
| .     .    .     |     
| .     .    .     |     
+------------------+

…or a composite of overlapping URs:
Code:
+------------------+
| .     .    .     |
| .     .    .     |     
| 56    .    56    |     
+------------------+
| 56    .    56    |   
| .     .    .     |     
| .     .    .     |     
+------------------+
Code:
+------------------+
| .     .    .     |
| .     .    .     |     
| .     25   25    |     
+------------------+
| .     25   25    |     
| .     .    .     |     
| .     .    .     |     
+------------------+

Only the 8s prevent the MUG, so it was a quick and chainless kill.
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