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Puzzle NR 09/12/01

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Dec 01, 2009 5:47 pm    Post subject: Puzzle NR 09/12/01 Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



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

PostPosted: Wed Dec 02, 2009 5:17 am    Post subject: Reply with quote

After basics:
Code:
 *-----------------------------------------------------------------------------*
 | 8       3       7       | 5       12      9       | 4       12      6       |
 | 1       6       24      | 238     238     234     | 9       7       5       |
 | 5       24      9       | 127     1267    2467    | 18      3      -28      |
 |-------------------------+-------------------------+-------------------------|
 |@47      1258    2358    | 6       12378   237     | 157     9      @247     |
 | 6       12589   258     | 12789   4       27      | 157     128     3       |
 |@47      1289    238     | 123789  12378   5       | 6       128    @247     |
 |-------------------------+-------------------------+-------------------------|
 | 9       48      468     | 237     2367    1       | 378     5       78      |
 | 3       7       1       | 4       5       8       | 2       6       9       |
 | 2       58      568     | 37      9       367     | 378     4       1       |
 *-----------------------------------------------------------------------------*

A type 2 UR 47 is in r46c19. To prevent the DP, a 2 must be in r4c9 or r6c9; thus r3c9<>2.

This results in the following code:
Code:


 *-----------------------------------------------------------*
 | 8     3     7     | 5     1     9     | 4     2     6     |
 | 1     6     24    | 8     23    234   | 9     7     5     |
 | 5    d24    9     |e27    267   2467  | 1     3     8     |
 |-------------------+-------------------+-------------------|
 | 47    1     2358  | 6     2378  237   | 57    9     24    |
 | 6     2589  258   | 19    4     27    | 57    18    3     |
 | 47    289   238   | 19    2378  5     | 6     18    24    |
 |-------------------+-------------------+-------------------|
 | 9    c48    468   | 23    26    1     |b38    5     7     |
 | 3     7     1     | 4     5     8     | 2     6     9     |
 | 2     58    568   |f37    9     67    |a38    4     1     |
 *-----------------------------------------------------------*

At this point I was looking for xy-wing and found a conflicting chain marked "abcdef".

(3)r9c7 - (3=8)r7c7 - (8=4)r7c2 - (4=2)r3c2 - (2=7)r3c4 - (7=3)r9c4; r9c7<>3 to complete the puzzle.

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Wed Dec 02, 2009 5:34 am    Post subject: Reply with quote

I used the 248 XY-Wing, X-Wing on 1, XYZ on 267 and W-Wing on 27.
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