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Free Press Feb 25, 2011

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Feb 25, 2011 7:09 pm    Post subject: Free Press Feb 25, 2011 Reply with quote

Not yet done. Does require advanced moves.
Code:

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

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 Feb 25, 2011 7:55 pm    Post subject: Reply with quote

I used three steps. Don't know if the first was needed, but the second set up the third.

Quote:
Type 6 UR (12)
XY-Chain; r2c7<>2
XY-Wing (583); r1c2, r2c9<>3
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Feb 26, 2011 3:20 am    Post subject: Reply with quote

Code:
+---------------+-----------------+--------------+
| 7     34   1  | 2458   6    9   | 258 D38  234 |
| 6     9    35 | 24578  25  A478 | 258  1   234 |
| 45    8    2  | 45     3    1   | 7    6   9   |
+---------------+-----------------+--------------+
| 9     6    7  | 1      4    5   | 3    2   8   |
| 58    2    58 | 9      7    3   | 6    4   1   |
| 3     1    4  | 6      8    2   | 9    7   5   |
+---------------+-----------------+--------------+
| 248   347  6  | 3478   9   X478 | 1    5   237 |
| 1248  5    38 | 3478   12   6   | 28   9   237 |
| 12    37   9  | 25     125 B78  | 4   C38  6   |
+---------------+-----------------+--------------+


A,B,C,D would form a skyscraper on 8's if the 8 at X was false.
this skyscraper would in turn eliminate the 8 at r2c7 and r1c4

if the 8 that is preventing the skyscraper at X is true then we can find logic to prove the 8 at r2c7 and r1c4 can't exist anyways.

[skyscraper(8):...r2c6=r9c6 - r9c8 = r1c8] = (8-4)r7c6 = (4)r2c6 - (4)r3c4 = (4)r3c1 - (4=3)r1c2 - (3=8)r1c8


Code:
+----------------+-------------------+-----------------+
| 7     (34)  1  | 245-8  6    9     | 258   (38)  234 |
| 6     9     35 | 24578  25   7(48) | 25-8  1     234 |
| 5(4)  8     2  | 5(4)   3    1     | 7     6     9   |
+----------------+-------------------+-----------------+
| 9     6     7  | 1      4    5     | 3     2     8   |
| 58    2     58 | 9      7    3     | 6     4     1   |
| 3     1     4  | 6      8    2     | 9     7     5   |
+----------------+-------------------+-----------------+
| 284   347   6  | 3478   9    7(48) | 1     5     237 |
| 1248  5     38 | 3478   12   6     | 28    9     237 |
| 12    37    9  | 25     125  7(8)  | 4     3(8)  6   |
+----------------+-------------------+-----------------+


and the puzzle is solved.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Sat Feb 26, 2011 10:24 am    Post subject: Reply with quote

A simple ANP provides another one-stepper...
Code:
anp(25=8)r2c57 - (8=3)r1c8 - (3=4)r1c2 - (4=5)r3c1 ; r2c3<>5
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Feb 26, 2011 4:41 pm    Post subject: Reply with quote

peterj wrote:
A simple ANP provides another one-stepper...

It scares me when someone thinks an ANP() is simple. _ Very Happy _
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tlanglet



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

PostPosted: Sat Feb 26, 2011 10:04 pm    Post subject: Reply with quote

It is hard to match the wonderful "almost skyscraper" and the "simple ANP". After some looking, the best I could come up with is an ANT(245=8) in r1c4|r2c5|r3c4 (or using Dannys' notation: in b2q15).

ANT(245=8)r1c4|r2c5|r3c4-(8=3)r1c8-(3=4)r1c2-r3c1=(4)r3c4; r2c46<>4

Ted
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Feb 27, 2011 12:11 am    Post subject: Reply with quote

Simpler is better?

After basics:
Code:
+-------------------+-------------------+-------------------+
| 7     34    1     | 2458  6     9     | 258   38    234   |
| 6     9     35    | 24578 25    478   | 258   1     234   |
| 45    8     2     | 45    3     1     | 7     6     9     |
+-------------------+-------------------+-------------------+
| 9     6     7     | 1     4     5     | 3     2     8     |
| 58    2     58    | 9     7     3     | 6     4     1     |
| 3     1     4     | 6     8     2     | 9     7     5     |
+-------------------+-------------------+-------------------+
| 248   347   6     | 3478  9     478   | 1     5     237   |
| 1248  5     38    | 3478  12    6     | 28    9     237   |
| 12    37    9     | 25    125   78    | 4     38    6     |
+-------------------+-------------------+-------------------+
There is an X-wing on 4 in R38, and a Type 6 UR that solves R5C5, R9C1 = 1. Leaving us here:
Code:
+----------------+----------------+----------------+
| 7    34   1    | 258@ 6    9    | 258@ 3-8  234  |
| 6    9    35   | 2578 25@  478  | 258@ 1    234  |
| 45   8    2    | 45   3    1    | 7    6    9    |
+----------------+----------------+----------------+
| 9    6    7    | 1    4    5    | 3    2    8    |
| 58   2    58   | 9    7    3    | 6    4    1    |
| 3    1    4    | 6    8    2    | 9    7    5    |
+----------------+----------------+----------------+
| 28   347  6    | 378  9    478  | 1    5    237  |
| 248  5    38   | 3478 1    6    | 28   9    237  |
| 1    37   9    | 25@  25@  78   | 4    38   6    |
+----------------+----------------+----------------+
The 25 DP labeled @ removes 8 from R1C8, solving the puzzle.

Keith
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