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Puzzle 11/03/13: ~ Moderate

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Mar 13, 2011 6:23 am    Post subject: Puzzle 11/03/13: ~ Moderate Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



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

PostPosted: Sun Mar 13, 2011 4:50 pm    Post subject: Reply with quote

Code after basics

Code:
+-------------------------------------------------------*
 | 8     9     67    | 12    67    5     | 34    123   1234  |
 | 67    1     3     | 4     67    28    | 258   25    9     |
 | 2     5     4     | 9     18    3     | 18    6     7     |
 |-------------------+-------------------+-------------------|
 | 9     2     17    | 8     5     6     | 34    137   134   |
 | 5     67    167   | 3     9     4     | 127   8     12    |
 | 3     4     8     | 7     2     1     | 6     9     5     |
 |-------------------+-------------------+-------------------|
 | 16    8     2     | 156   4     7     | 9     135   13    |
 | 4     67    5     | 126   3     9     |#127   12=7  8     |
 | 17    3     9     | 125   18    28    | 1257  4     6     |
 *-----------------------------------------------------------*

Notice the 'Almost" XYZ-wing(127)r8c7 with fin digit (7)r8c8 formed by grouping r8c8 as (12=7)
Assuming r8c8=12; r7c89<>1
(1)r8c7
(2)r8c7-(2=1)r8c8
(7)r8c7-(7=6)r8c2-(6=1)r7c1

Now, if r8c8=7 then: (7)r8c8-(7=6)r8c2-(6=1)r7c1; r7c89<>1

The puzzle is completed by several moves including coloring (7).

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Mar 13, 2011 5:58 pm    Post subject: Reply with quote

Ted, that is one crazy "almost XYZ-Wing". You have a fin cell on one pincer and a pseudo-cell for the other pincer. Aaaagh! Personally, I see it as an "almost XY-Wing" with an ALS for one pincer:

Code:
 (6)r8c2 - (6= 1)r7c1   =>  r7c89<>1
 (7)r8c2 - (7=21)r8c78  =>  r7c89<>1
 +--------------------------------------------------------------+
 |  8     9     67    |  12    67    5     |  34    123   1234  |
 |  67    1     3     |  4     67    28    |  258   25    9     |
 |  2     5     4     |  9     18    3     |  18    6     7     |
 |--------------------+--------------------+--------------------|
 |  9     2     17    |  8     5     6     |  34    137   134   |
 |  5     67    167   |  3     9     4     |  127   8     12    |
 |  3     4     8     |  7     2     1     |  6     9     5     |
 |--------------------+--------------------+--------------------|
 | p16    8     2     |  156   4     7     |  9     35-1  3-1   |
 |  4    v67    5     |  126   3     9     | p12=7 p12=7  8     |
 |  17    3     9     |  125   18    28    |  1257  4     6     |
 +--------------------------------------------------------------+
 # 50 eliminations remain

An NP() chain:

Code:
(12=7)r8c78 - (7=6)r8c2 - (6=1)r7c1  =>  r7c89<>1
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tlanglet



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

PostPosted: Sun Mar 13, 2011 6:27 pm    Post subject: Reply with quote

daj95376 wrote:
Ted, that is one crazy "almost XYZ-Wing". You have a fin cell on one pincer and a pseudo-cell for the other pincer. Aaaagh! Personally, I see it as an "almost XY-Wing" with an ALS for one pincer:

Code:
 (6)r8c2 - (6= 1)r7c1   =>  r7c89<1>  r7c89<1>  r7c89<>1


Danny,

I see your axy-wing but at the time I spotted the pattern, I was looking for xyz-wings and therefore posted it as such.

And of course, I like the anp(). I had been looking for a pattern that had a fin in both cells but still provided the deletion, but I missed it here. Sad

Ted
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Marty R.



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

PostPosted: Mon Mar 14, 2011 1:15 am    Post subject: Reply with quote

It was a fun six-step BBDB for me.

Type 1 UR
XY-Wing
ER
DP
Skyscraper
W-Wing
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