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au tough 5/16/12

 
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arkietech



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

PostPosted: Wed May 16, 2012 6:10 am    Post subject: au tough 5/16/12 Reply with quote

Code:

 *-----------*
 |68.|..3|9..|
 |...|...|5..|
 |7..|..4|..6|
 |---+---+---|
 |...|2..|...|
 |.39|...|18.|
 |...|..8|...|
 |---+---+---|
 |9..|7..|..3|
 |..1|...|...|
 |..4|6..|.79|
 *-----------*
 

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arkietech



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

PostPosted: Wed May 16, 2012 7:55 pm    Post subject: Reply with quote

Code:

 *--------------------------------------------------------------------*
 | 6      8      25     | 15     1257   3      | 9      4      17     |
 | 14     149    23     | 8      1679   67     | 5      23     17     |
 | 7      19     235    | 159    1259   4      | 8      23     6      |
 |----------------------+----------------------+----------------------|
 | 1458   146   d678    | 2     b13459  59     |c37     69     45     |
 | 245    3      9      | 45     67     67     | 1      8      245    |
 | 1245   1246   67     | 13459  13459  8      | 37     69     245    |
 |----------------------+----------------------+----------------------|
 | 9      26    e68     | 7      5-8    25     | 4      1      3      |
 | 23     7      1      | 349    349    29     | 6      5      8      |
 | 3-8    5      4      | 6     a38     1      | 2      7      9      |
 *--------------------------------------------------------------------*
 (8=3)r9c5-r4c5=(3-7)r4c7=(7-8)r4c3=(8)r7c3 => r7c5,r9c1<>8; stte

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Marty R.



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

PostPosted: Wed May 16, 2012 8:51 pm    Post subject: Reply with quote

I can't find chains like that. A 67 UR brought me to the below grid where a Medusa wrap easily solves it, but I didn't see a more conventional move.

Code:

+---------------+-------------+-----------+
| 6    8    2   | 5   7    3  | 9  4  1   |
| 14   149  3   | 8   19   6  | 5  2  7   |
| 7    19   5   | 19  2    4  | 8  3  6   |
+---------------+-------------+-----------+
| 1458 146  678 | 2   1359 59 | 37 69 45  |
| 25   3    9   | 4   6    7  | 1  8  25  |
| 1245 1246 67  | 139 1359 8  | 37 69 245 |
+---------------+-------------+-----------+
| 9    26   68  | 7   58   25 | 4  1  3   |
| 23   7    1   | 39  4    29 | 6  5  8   |
| 38   5    4   | 6   38   1  | 2  7  9   |
+---------------+-------------+-----------+

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arkietech



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

PostPosted: Wed May 16, 2012 9:34 pm    Post subject: Reply with quote

Marty R. wrote:
I can't find chains like that.

(8=3)r9c5-r4c5=(3-7)r4c7=(7-8)r4c3=(8)r7c3 => r7c5,r9c1<>8; stte

if r9c5 is not an 8 it is a 3, making r4c7 a 3, and r4c3 a 7, This makes r7c3 an 8 => r7c5,r9c1<>8; stte

hope this helps
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Marty R.



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

PostPosted: Wed May 16, 2012 9:48 pm    Post subject: Reply with quote

Thanks Dan. I'm able to follow the chain OK, but I don't see the grid in a way that would lead me to these types of chains. Or maybe I just don't try hard enough.
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tlanglet



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

PostPosted: Thu May 17, 2012 2:05 am    Post subject: Reply with quote

I just got around to working on this puzzle and , like Marty, my best move to date is the UR(67). I expect/hope to pursue a good solution later......

Ted
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tlanglet



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

PostPosted: Thu May 17, 2012 2:27 am    Post subject: Reply with quote

Well, I did find a nice two step solution as follows.

Type 1 UR(67)r25c56; r2c5<>67

This results in a grid:
Code:
  *-----------------------------------------------------------*
 | 6     8     2     | 5     7     3     | 9     4     1     |
 | 14    149   3     | 8     19    6     | 5     2     7     |
 | 7     19    5     | 19    2     4     | 8     3     6     |
 |-------------------+-------------------+-------------------|
 | 1458  146   678   | 2     1359  59    | 37    69    45    |
 | 25    3     9     | 4     6     7     | 1     8     25    |
 | 1245  1246  67    | 139   1359  8     | 37    69    245   |
 |-------------------+-------------------+-------------------|
 | 9     26    68    | 7     58    25    | 4     1     3     |
 | 23    7     1     | 39    4     29    | 6     5     8     |
 | 38    5     4     | 6     38    1     | 2     7     9     |
 *-----------------------------------------------------------*

(3=9)r8c4-(19=3)r36c4-(3=7)r6c7-(7=6)r6c3-(6=8)r7c3-(8=3)r9c1; r8c1<>3

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu May 17, 2012 2:37 am    Post subject: Reply with quote

Ted, do you find anything interesting about cells r12c59? Later, there's r26c12! None of this cracks the puzzle, but it does make for an interesting combination of steps before you need something more advanced -- like a chain.
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tlanglet



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

PostPosted: Thu May 17, 2012 12:26 pm    Post subject: Reply with quote

daj95376 wrote:
Ted, do you find anything interesting about cells r12c59? Later, there's r26c12! None of this cracks the puzzle, but it does make for an interesting combination of steps before you need something more advanced -- like a chain.


Danny,

Not sure if I am picking up on the point you are noting, but this puzzle has lots of potential deadly patterns. I was able to get some deletions from several but never any of significance. The one I really liked was the "Is it a MUG?" pattern (3679)r46c3578.

AMUG(3679)r46c3578 SIS (3)r6c4, (6)r7c3, (9)r2c5; r2c5=9
(3-1)r6c4=r3c4-(1=9)r2c5;
||
(6)r7c3-(6=2)r7c2-(2=3)r8c1-r8c4=(3-1)r6c4=r3c4-(1=9)r2c5;
||
(9)r2c5;


Ted
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Luke451



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

PostPosted: Thu May 17, 2012 11:34 pm    Post subject: Reply with quote

tlanglet wrote:
"Is it a MUG?"

I assume this is the position at the DP.
Code:
 *-----------------------------------------------------------*
 | 6     8     2     | 5     7     3     | 9     4     1     |
 | 14    149   3     | 8     19    6     | 5     2     7     |
 | 7     19    5     | 19    2     4     | 8     3     6     |
 |-------------------+-------------------+-------------------|
 | 1458  146  *67+8  | 2    *39+15  59    |*37   *69    45    |
 | 25    3     9     | 4     6      7     | 1     8     25    |
 | 1245  1246 *67    | 139  *39+15  8     |*37   *69    245   |
 |-------------------+-------------------+-------------------|
 | 9     26    68    | 7     58    25    | 4     1     3     |
 | 23    7     1     | 39    4     29    | 6     5     8     |
 | 38    5     4     | 6     38    1     | 2     7     9     |
 *-----------------------------------------------------------*

I think the pattern may be a BUG-Lite rather than a MUG. You are the master of the "external out!"
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aran



Joined: 19 Apr 2010
Posts: 70

PostPosted: Sun May 20, 2012 12:50 pm    Post subject: Reply with quote

Luke451 wrote:
tlanglet wrote:
"Is it a MUG?"

I assume this is the position at the DP.
Code:
 *-----------------------------------------------------------*
 | 6     8     2     | 5     7     3     | 9     4     1     |
 | 14    149   3     | 8     19    6     | 5     2     7     |
 | 7     19    5     | 19    2     4     | 8     3     6     |
 |-------------------+-------------------+-------------------|
 | 1458  146  *67+8  | 2    *39+15  59    |*37   *69    45    |
 | 25    3     9     | 4     6      7     | 1     8     25    |
 | 1245  1246 *67    | 139  *39+15  8     |*37   *69    245   |
 |-------------------+-------------------+-------------------|
 | 9     26    68    | 7     58    25    | 4     1     3     |
 | 23    7     1     | 39    4     29    | 6     5     8     |
 | 38    5     4     | 6     38    1     | 2     7     9     |
 *-----------------------------------------------------------*

I think the pattern may be a BUG-Lite rather than a MUG. You are the master of the "external out!"

A propos of recent discussions : just to note the corresponding 9-N pattern : 12458r46c12469, with its avoidance candidates 6r46c2, 39r6c4 9r4c6 (all pointing to r3c4=1).
Obviously no solving advantage over the BUG-lite, so the point is just to observe it.
daj drew attention to r12c59. ie to the fact that the solved cells contain no givens, so this is UR territory =>r2c5=9
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun May 20, 2012 1:31 pm    Post subject: Reply with quote

aran wrote:
daj drew attention to r12c59. ie to the fact that the solved cells contain no givens, so this is UR territory =>r2c5=9

Yes ... and ... it exposes a 14UR Type 3. Unfortunately, it still doesn't crack the puzzle, but it does allow a simpler chain to crack it.
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