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Puzzle 11/01/25

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Tue Jan 25, 2011 10:55 pm    Post subject: Puzzle 11/01/25 Reply with quote
Code:
 +-----------------------+
 | . . . | 1 . . | . . . |
 | . . 3 | 7 . . | 4 . 6 |
 | . 6 2 | 9 4 . | . . 5 |
 |-------+-------+-------|
 | 5 2 7 | 3 . . | 9 . . |
 | . . 8 | . 7 . | . . . |
 | . . . | . . 1 | . 2 . |
 |-------+-------+-------|
 | . 5 . | 4 . . | . 7 . |
 | . . . | . . 9 | 5 . . |
 | . 4 1 | . . . | . . 9 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Wed Jan 26, 2011 5:29 am    Post subject: Reply with quote
Type 2 UR (19-8)
W-Wing (19); r2c1<>9
ER (6)
W-Wing (28); r8c12<>8
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Wed Jan 26, 2011 7:14 pm    Post subject: Reply with quote
Code:
skyscraper(6) c4, c8 ; r4c56<>6, r5c7<>6
w-wing(28) ; (8=2)r7c1 - r9c1-r9c4 - (2=8)r8c4 ; r8c12<>8
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Jan 26, 2011 9:11 pm    Post subject: Reply with quote
After basics and the Skyscraper:

Code:
 <28> DP r789c149 => r8c9=3 or r9c1=3 => r9c8<>3
 +--------------------------------------------------------------+
 |  4     789   5     |  1     36    368   |  2     389   378   |
 |  189   189   3     |  7     2     5     |  4     189   6     |
 |  178   6     2     |  9     4     38    |  78    138   5     |
 |--------------------+--------------------+--------------------|
 |  5     2     7     |  3     8     4     |  9     6     1     |
 |  19    19    8     |  6     7     2     |  3     5     4     |
 |  6     3     4     |  5     9     1     |  78    2     78    |
 |--------------------+--------------------+--------------------|
 | *28    5     9     |  4     36    36    |  1     7    *28    |
 |  2378  78    6     | *28    1     9     |  5     4    *28+3  |
 | *28+3  4     1     | *28    5     7     |  6     38    9     |
 +--------------------------------------------------------------+
 # 40 eliminations remain

Otherwise, a horrible alternative from my solver:

Code:
 r17c56  <36> UR Type 1.2223             <> 36   r1c6

 r25c12  <19> UR Type 2.2233             <> 8    r2c8,r3c1

 <79+1>  XY-Wing  r1c2/r3c1+r5c2         <> 1    r2c2,r5c1
 <17+9>  XY-Wing  r3c1/r1c2+r5c1         <> 9    r2c1,r5c2

 r23c18  <18> UR Type 6.2222             <> 8    r2c1,r3c8 *

(*) subset of candidates present to form UR at time it was used.
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