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AU Tough September 1, 2012

 
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arkietech



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

PostPosted: Sun Sep 02, 2012 8:00 am    Post subject: AU Tough September 1, 2012 Reply with quote

Code:

 *-----------*
 |4..|...|...|
 |...|..3|.86|
 |...|..5|13.|
 |---+---+---|
 |82.|7..|...|
 |6..|.2.|..3|
 |...|..9|.58|
 |---+---+---|
 |.14|9..|...|
 |96.|1..|...|
 |...|...|..7|
 *-----------*
 


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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Sun Sep 02, 2012 2:30 pm    Post subject: Reply with quote

r9c4=r4c5 (r789c6<>35)

/SudoQ
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arkietech



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

PostPosted: Sun Sep 02, 2012 6:04 pm    Post subject: Reply with quote

Code:

 *-----------------------------------------------------------------------------*
 | 4       35789   135689  | 68      16789   1678    | 57      27      29      |
 | 15      579     159     | 2       1479    3       | 457     8       6       |
 | 2       789     689     | 468     46789   5       | 1       3       49      |
 |-------------------------+-------------------------+-------------------------|
 | 8       2       35      | 7      b35      4       | 6       9       1       |
 | 6       59      159     | 58      2       18      | 47      47      3       |
 | 137     4       137     | 36      136     9       | 2       5       8       |
 |-------------------------+-------------------------+-------------------------|
 | 357     1       4       | 9      a3578   c278     | 38      6       25      |
 | 9       6       23578   | 1      a3578   c278     | 38      24      245     |
 | 35      358     2358    | 3456-8  46-358  6-28    | 9       1       7       |
 *-----------------------------------------------------------------------------*
 Sue de Coq
{3578}r78c5,{35}r4c5,{278}r78c6 => -358r9c5, -28r9c456; stte


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Marty R.



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

PostPosted: Mon Sep 03, 2012 3:30 pm    Post subject: Reply with quote

I struggled with a W-Wing, two M-Wings and two uses of the 68 DP in boxes 12.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Sep 03, 2012 4:53 pm    Post subject: Reply with quote

Code:
 after basics:   cells r4c5, r5c4, and r6c4 dominate several solutions
 +--------------------------------------------------------------------------------+
 |  4       35789   135689  |  68      16789   1678    |  57      27      29      |
 |  15      579     159     |  2       1479    3       |  457     8       6       |
 |  2       789     689     |  468     46789   5       |  1       3       49      |
 |--------------------------+--------------------------+--------------------------|
 |  8       2       35      |  7       35      4       |  6       9       1       |
 |  6       59      159     |  58      2       18      |  47      47      3       |
 |  137     4       137     |  36      136     9       |  2       5       8       |
 |--------------------------+--------------------------+--------------------------|
 |  357     1       4       |  9       3578    278     |  38      6       25      |
 |  9       6       23578   |  1       3578    278     |  38      24      245     |
 |  35      358     2358    |  34568   34568   268     |  9       1       7       |
 +--------------------------------------------------------------------------------+
 # 95 eliminations remain

 XY-Loop   (6=8)r1c4 - (8=5)r5c4 - (5=3)r4c5 - (3=6)r6c4 - loop  =>  r39c4<>68, r6c5<>3

 M-Ring  C (3=5)r4c5 - r5c4 = (5-3)r9c4 = (3)r6c4        - loop  =>  r9c4<>468, r6c5<>3

 S-Wing    (3)r9c4 = r6c4   - (3=5)r4c5 - r5c4   = (5)r9c4       =>  r9c4<>468, r6c5<>3
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tlanglet



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

PostPosted: Tue Sep 04, 2012 12:09 pm    Post subject: Reply with quote

arkietech wrote:
Code:

 *-----------------------------------------------------------------------------*
 | 4       35789   135689  | 68      16789   1678    | 57      27      29      |
 | 15      579     159     | 2       1479    3       | 457     8       6       |
 | 2       789     689     | 468     46789   5       | 1       3       49      |
 |-------------------------+-------------------------+-------------------------|
 | 8       2       35      | 7      b35      4       | 6       9       1       |
 | 6       59      159     | 58      2       18      | 47      47      3       |
 | 137     4       137     | 36      136     9       | 2       5       8       |
 |-------------------------+-------------------------+-------------------------|
 | 357     1       4       | 9      a3578   c278     | 38      6       25      |
 | 9       6       23578   | 1      a3578   c278     | 38      24      245     |
 | 35      358     2358    | 3456-8  46-358  6-28    | 9       1       7       |
 *-----------------------------------------------------------------------------*
 Sue de Coq
{3578}r78c5,{35}r4c5,{278}r78c6 => -358r9c5, -28r9c456; stte


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Great move............ Cool

Ted
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tlanglet



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

PostPosted: Tue Sep 04, 2012 12:11 pm    Post subject: Reply with quote

SudoQ wrote:
r9c4=r4c5 (r789c6<>35)

/SudoQ


I do not understand this step.

Ted
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Tue Sep 04, 2012 2:52 pm    Post subject: Reply with quote

tlanglet wrote:
I do not understand this step.

I think that it is an M-Ring, similar to the one daj showed.
Code:
|--------------------|--------------------|--------------|
| 4    35789  135689 | 68     16789  1678 | 57   27  29  |
| 15   579    159    | 2      1479   3    | 457  8   6   |
| 2    789    689    | 468    46789  5    | 1    3   49  |
|--------------------|--------------------|--------------|
| 8    2      35     | 7     (35)    4    | 6    9   1   |
| 6    59     159    | 58     2      18   | 47   47  3   |
| 137  4      137    | 36     136    9    | 2    5   8   |
|--------------------|--------------------|--------------|
| 357  1      4      | 9      78 /35  278 | 38   6   25  |
| 9    6      23578  | 1      78 /35  278 | 38   24  245 |
| 35   358    2358   | 35-468 468/35  268 | 9    1   7   |
|--------------------|--------------------|--------------|

if r4c5=5 then r9c4=5
if r4c5=3 then r9c4=3
(r9c4=r4c5)
=> r9c4<>468

/SudoQ
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tlanglet



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

PostPosted: Tue Sep 04, 2012 6:05 pm    Post subject: Reply with quote

SudoQ wrote:
tlanglet wrote:
I do not understand this step.

I think that it is an M-Ring, similar to the one daj showed.
Code:
|--------------------|--------------------|--------------|
| 4    35789  135689 | 68     16789  1678 | 57   27  29  |
| 15   579    159    | 2      1479   3    | 457  8   6   |
| 2    789    689    | 468    46789  5    | 1    3   49  |
|--------------------|--------------------|--------------|
| 8    2      35     | 7     (35)    4    | 6    9   1   |
| 6    59     159    | 58     2      18   | 47   47  3   |
| 137  4      137    | 36     136    9    | 2    5   8   |
|--------------------|--------------------|--------------|
| 357  1      4      | 9      78 /35  278 | 38   6   25  |
| 9    6      23578  | 1      78 /35  278 | 38   24  245 |
| 35   358    2358   | 35-468 468/35  268 | 9    1   7   |
|--------------------|--------------------|--------------|

if r4c5=5 then r9c4=5
if r4c5=3 then r9c4=3
(r9c4=r4c5)
=> r9c4<>468

/SudoQ


I saw that r9c4<>468 in your original post but did not understand nor agree with the original deletions that r789c6<>35.

That was a nice spot.

Ted
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