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Free Press Jul 16, 2010

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Jul 16, 2010 1:37 pm    Post subject: Free Press Jul 16, 2010 Reply with quote
Code:

Puzzle: FP071610
+-------+-------+-------+
| . . 5 | . . . | 6 . . |
| . 1 . | . . . | 8 3 . |
| . . 9 | . 6 . | . . 1 |
+-------+-------+-------+
| . 5 4 | 6 . . | . . . |
| . . . | 8 . 9 | . . . |
| . . . | . . 3 | 4 2 . |
+-------+-------+-------+
| 1 . . | . 5 . | 3 . . |
| . 4 2 | . 3 . | . 7 5 |
| . . 7 | . . . | 2 . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Jul 16, 2010 5:02 pm    Post subject: Reply with quote
Possibly inefficient, but effective.

Quote:
W-Wing (89)
Coloring (9)
M-Wing (27)
XYZ-Wing (279)
XY-Chain, r9c4<>1
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Fri Jul 16, 2010 6:58 pm    Post subject: Reply with quote
Here's a one-stepper found looking for a gm-wing around the 1&4 SL in box2 ...

Quote:
A gm-wing(14) with a pseudo-cell one end and extended at the other...

(1=5)r5c8-(5=4)r3c8 - r3c6=(4-1)r1c6=r1c4 - (1)r8c4=r8c7; r5c7<>1

..or just another AIC if you prefer.


[Edit. Sorry I made 3 errors in this AIC - now fixed. Thanks, mm]

Last edited by peterj on Sat Jul 17, 2010 4:42 pm; edited 4 times in total
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Jul 16, 2010 9:44 pm    Post subject: Reply with quote
Code:
 (27=8)r13c2 - (8=6)r6c2 - UR[(6)r5c2 = (3)r1c1)]<27>r15c12  =>  r1c1<>27
 +-----------------------------------------------------------------------+
 |  27+3   27     5      |  12379  8      1247   |  6      49     279    |
 |  4      1      6      |  279    29     5      |  8      3      279    |
 |  2378   27+8   9      |  237    6      247    |  57     45     1      |
 |-----------------------+-----------------------+-----------------------|
 |  789    5      4      |  6      12     12     |  79     89     3      |
 |  27     27+6   3      |  8      4      9      |  15     15     67     |
 |  89     68     1      |  5      7      3      |  4      2      689    |
 |-----------------------+-----------------------+-----------------------|
 |  1      9      8      |  27     5      27     |  3      6      4      |
 |  6      4      2      |  19     3      8      |  19     7      5      |
 |  5      3      7      |  4      19     6      |  2      189    89     |
 +-----------------------------------------------------------------------+
 # 53 eliminations remain

... followed by Marty's solution sans the XY-Chain.

Last edited by daj95376 on Fri Jul 16, 2010 9:54 pm; edited 1 time in total
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Jul 16, 2010 9:53 pm    Post subject: Reply with quote
Quote:
... followed by Marty's solution sans the XY-Chain.

Which means I missed some basics. Embarassed
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Jul 16, 2010 10:01 pm    Post subject: Reply with quote
Marty R. wrote:
Which means I missed some basics. Embarassed

I was simply swapping one step for another, but at different places in the sequence. I did not mean to imply that you'd missed any basics.

Regards, Danny
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Jul 16, 2010 11:06 pm    Post subject: Reply with quote
That's OK, you can imply or say directly, I don't mind. I interpreted if someone used my solution less the final step, then I had to have missed some basics if was solvable with my steps except for the last one? Am I missing something (besides basics)? Very Happy
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sat Jul 17, 2010 1:58 am    Post subject: Reply with quote
Marty R. wrote:
That's OK, you can imply or say directly, I don't mind. I interpreted if someone used my solution less the final step, then I had to have missed some basics if was solvable with my steps except for the last one? Am I missing something (besides basics)? Very Happy

That's a bad assumption -- especially in this case because I was just providing an alternate step. Since our solutions (essentially) matched except for my first step and your last step, I chose to not list all of the duplicate steps. I'm sorry that decision caused you to feel that you'd missed something.

Here is my full solution -- mostly found by my solver. Originally, the first step was UR eliminations through strong links. I went to examine that region closer and noticed the implications of r6c2=<68>. That's when I came up with my replacement first step.

Code:
 after basics:
 +-----------------------------------------------------------------------+
 |  237    27     5      |  12379  8      1247   |  6      49     279    |
 |  4      1      6      |  279    29     5      |  8      3      279    |
 |  2378   278    9      |  237    6      247    |  57     45     1      |
 |-----------------------+-----------------------+-----------------------|
 |  789    5      4      |  6      12     12     |  79     89     3      |
 |  27     267    3      |  8      4      9      |  15     15     67     |
 |  89     68     1      |  5      7      3      |  4      2      689    |
 |-----------------------+-----------------------+-----------------------|
 |  1      9      8      |  27     5      27     |  3      6      4      |
 |  6      4      2      |  19     3      8      |  19     7      5      |
 |  5      3      7      |  4      19     6      |  2      189    89     |
 +-----------------------------------------------------------------------+
 # 53 eliminations remain

 (27=8)r13c2 - (8=6)r6c2 - UR[(6)r5c2 = (3)r1c1)]<27>r15c12  =>  r1c1<>27

 <79+2>  XYZ-Wing r2c4/r2c5+r7c4         <> 2    r1c4   (or XY-Wing later)

 W-Wing (8=9)r4c8 - r4c7 = r8c7  - (9=8)r9c9  =>  r6c9,r9c8<>8   -or-
 W-Wing (8=9)r4c8 - r1c8 = r12c9 - (9=8)r9c9  =>  r6c9,r9c8<>8

 c58r9   Skyscraper                      <> 9    r1c4,r2c9

 M-Wing Type 7B (7=2)r1c2 - r1c9 = (2-7)r2c9 = (7)r2c4  =>  r1c46<>7

My first step made it unnecessary for an XY-Chain after the M-Wing.

Regards, Danny
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Jul 17, 2010 3:35 am    Post subject: Reply with quote
A patterned one stepper is

Quote:
ANP(27=4)r37c6-(4=5)r38-(5=7)r3c7-(7=9)r4c7-(9=1)r8c7-r8c4=r9c5-(1=2)r4c5; r4c6<>2

Ted
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Jul 17, 2010 3:42 am    Post subject: Reply with quote
daj95376 wrote:
Code:
 (27=8)r13c2 - (8=6)r6c2 - UR[(6)r5c2 = (3)r1c1)]<27>r15c12  =>  r1c1<>27
 +-----------------------------------------------------------------------+
 |  27+3   27     5      |  12379  8      1247   |  6      49     279    |
 |  4      1      6      |  279    29     5      |  8      3      279    |
 |  2378   27+8   9      |  237    6      247    |  57     45     1      |
 |-----------------------+-----------------------+-----------------------|
 |  789    5      4      |  6      12     12     |  79     89     3      |
 |  27     27+6   3      |  8      4      9      |  15     15     67     |
 |  89     68     1      |  5      7      3      |  4      2      689    |
 |-----------------------+-----------------------+-----------------------|
 |  1      9      8      |  27     5      27     |  3      6      4      |
 |  6      4      2      |  19     3      8      |  19     7      5      |
 |  5      3      7      |  4      19     6      |  2      189    89     |
 +-----------------------------------------------------------------------+
 # 53 eliminations remain


Danny, very nice use of the Type 6 UR27. I looked at it in isolation but no deletions.

Ted
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jul 17, 2010 8:57 am    Post subject: Reply with quote
After basics:
Code:
+-------------------+-------------------+-------------------+
| 237   27    5     | 12379 8     1247  | 6     49    279   |
| 4     1     6     | 279   29    5     | 8     3     279   |
| 2378  278   9     | 237   6     247   | 57    45    1     |
+-------------------+-------------------+-------------------+
| 789   5     4     | 6     12    12    | 79    89    3     |
| 27    267   3     | 8     4     9     | 15    15    67    |
| 89    68    1     | 5     7     3     | 4     2     689   |
+-------------------+-------------------+-------------------+
| 1     9     8     | 27    5     27    | 3     6     4     |
| 6     4     2     | 19    3     8     | 19    7     5     |
| 5     3     7     | 4     19    6     | 2     189   89    |
+-------------------+-------------------+-------------------+

Pseudocell 59 in B3C8 makes an XY-wing 57-9. R4C8 <>9.
M-wing 2-7. R1B2 <>7.
XY-wing -279. R13C4 <>2.
SS 9 in C58. R1C4, R2C9 <> 9.
M-wing -79 with transport. R1C9<>7.
Pseudocell 89 in R6 makes an XY-wing -289. R1C12 <>2.

For what it's worth.

Keith
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