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Free Press 7 August, 2009

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Aug 07, 2009 5:19 pm    Post subject: Free Press 7 August, 2009 Reply with quote
Quite nice. Would rank as a VH.
Code:
Puzzle: FP080709
+-------+-------+-------+
| . 7 . | 1 . . | . . . |
| . 2 . | . 5 3 | . . . |
| 9 6 . | . . 4 | . . . |
+-------+-------+-------+
| 8 . . | . . . | . . 7 |
| 2 5 7 | . . . | 9 1 . |
| 3 . . | . . . | . . 8 |
+-------+-------+-------+
| . . . | 2 . . | . 4 6 |
| . . . | 3 4 . | . 5 . |
| . . . | . . 9 | 1 3 . |
+-------+-------+-------+
Keith
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Fri Aug 07, 2009 7:03 pm    Post subject: Free Press 7 August, 2009 Reply with quote
Two steps
1) UR Type 1 <68> r15c56 eliminating 86 in r1c5.
2) XY-Wing <18> - <17> - <78> eliminating 8 in r9c2 solves the puzzle.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Fri Aug 07, 2009 7:17 pm    Post subject: Reply with quote
One step Very Happy
Code:
 *--------------------------------------------------*
 |*45   7    3    | 1    9    6    | 2    8   *45   |
 |*14   2    8    | 7    5    3    | 6    9   *14   |
 | 9    6    1-5  | 8    2    4    | 3    7   *15   |
 |----------------+----------------+----------------|
 | 8    149  146  | 59   3    12   | 45   26   7    |
 | 2    5    7    | 4    6    8    | 9    1    3    |
 | 3    149  146  | 59   17   127  | 45   26   8    |
 |----------------+----------------+----------------|
 |*17   3    9    | 2    178  5    |*78   4    6    |
 | 6   *18   2    | 3    4    17   |*78   5    9    |
 | 7-5 *48  *45   | 6    78   9    | 1    3    2    |
 *--------------------------------------------------*
xy-chain or a long link to a w-wing 54
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Aug 07, 2009 10:41 pm    Post subject: Reply with quote
After basics:
Code:
+-------------+-------------+-------------+
| 45  7   3   | 1   9   6   | 2   8   45  |
| 14a 2   8   | 7   5   3   | 6   9   14  |
| 9   6   15A | 8   2   4   | 3   7   15  |
+-------------+-------------+-------------+
| 8   149 146 | 59  3   12  | 45  26  7   |
| 2   5   7   | 4   6   8   | 9   1   3   |
| 3   149 -146| 59  17B 127 | 45  26  8   |
+-------------+-------------+-------------+
| 17A 3   9   | 2  -178 5   | 78  4   6   |
| 6  -18  2   | 3   4   17B | 78  5   9   |
| 57@ 48  45  | 6   78@ 9   | 1   3   2   |
+-------------+-------------+-------------+

You don't need the UR. It is, in fact, removed by basics.

There is a 17-8 XY-wing in R78 and another in R89.

There is also a double W-wing -17 that takes out <1> in R7C5 and R8C2 and, with coloring , <1> in R6C3. Any cell that sees both A and B cannot be <1>.

Any of these is a one-stepper. I dare say there are more.

Keith
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