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Free Press August 12, 2011

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Aug 12, 2011 12:11 pm    Post subject: Free Press August 12, 2011 Reply with quote
Not yet solved. On the tough side, it seems.
Code:
Puzzle: FP081211
+-------+-------+-------+
| 1 . 5 | . 9 . | 6 8 . |
| . . . | . 8 5 | 2 . . |
| . 4 . | . . . | . . . |
+-------+-------+-------+
| . . 9 | 1 . 7 | 8 . 4 |
| . . . | . . . | . . . |
| 4 . 1 | 2 . . | 5 . . |
+-------+-------+-------+
| . . . | . . . | . 9 . |
| . . 2 | 8 1 . | . . . |
| . 5 6 | . 2 . | 1 . 8 |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Aug 12, 2011 4:33 pm    Post subject: Reply with quote
Let's see: no <3> among the givens, and only one <7>. This doesn't change after basics. Good luck !!!
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Aug 12, 2011 4:57 pm    Post subject: Reply with quote
daj95376 wrote:
Let's see: no <3> among the givens, and only one <7>. This doesn't change after basics. Good luck !!!


Actually, it's a one-stepper.

Keith
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Aug 12, 2011 10:42 pm    Post subject: Reply with quote
After basics:
Code:
+----------------+----------------+----------------+
| 1    37   5    | 4    9    2    | 6    8    37   |
| 69   69   37#  | 37#  8    5    | 2    4    1    |
| 2    4    8    | 367  367  1    | 379  357  3579 |
+----------------+----------------+----------------+
| 356  36   9    | 1    356  7    | 8    2    4    |
| 3567 2    37b  | 3569 4    8    |-39   1    369  |
| 4    8    1    | 2    36   369  | 5    367  3679 |
+----------------+----------------+----------------+
| 8    1    4    | 3567 3567 36   | 37a  9    2    |
| 379  379  2    | 8    1    39   | 4    56   56   |
| 39   5    6    | 379@ 2    4    | 1    37@  8    |
+----------------+----------------+----------------+

W-wing: ab are pincers on 3, excited by the strong links on 7, # and @. Taking out 3 in R5C7, solving the puzzle.

Or, you can see a and R2C4 as a flightless W-wing excited by @, with pincer transport to b.

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sat Aug 13, 2011 1:02 am    Post subject: Reply with quote
Quote:
W-wing: ab are pincers on 3, excited by the strong links on 7, # and @.

Very nice; I wouldn't have noticed that in a million years.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Aug 13, 2011 3:04 am    Post subject: Reply with quote
Marty R. wrote:
Very nice; I wouldn't have noticed that in a million years.
Marty,

Thank you. A fortuitous "back door" move.

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sat Aug 13, 2011 5:45 am    Post subject: Reply with quote
FWIW: (a), (b), (#), and (@) form an almost Remote Pair.

However, to complete the elimination, we also need:

Code:
(9)r9c4 - (9=3)r9c1 - (3)r9c8 = (3)r7c7  =>  r5c7<>3
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Aug 13, 2011 7:10 pm    Post subject: Reply with quote
daj95376 wrote:
FWIW: (a), (b), (#), and (@) form an almost Remote Pair.


After basics, and an X-wing on 7:
Code:
+----------------+----------------+----------------+
| 1    37   5    | 4    9    2    | 6    8    37   |
| 69   69   37   | 37   8    5    | 2    4    1    |
| 2    4    8    | 36   367  1    | 379  35   359  |
+----------------+----------------+----------------+
| 356  36   9    | 1    356  7    | 8    2    4    |
| 3567 2    37b  | 3569 4    8    | 39   1    369  |
| 4    8    1    | 2    36   369  | 5    367  3679 |
+----------------+----------------+----------------+
| 8    1    4    | 356  3567 36   | 37a  9    2    |
| 379  379  2    | 8    1    39   | 4    56   56   |
| 39   5    6    | 379  2    4    | 1    37   8    |
+----------------+----------------+----------------+
You can now use coloring on 7 to show that a and b are indeed a remote pair: They are pincers on both 3 and 7.

(There are various other 37 remote pairs in the grid above.)

Keith
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