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competition #929

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Sat Jan 26, 2008 12:49 am    Post subject: competition #929 Reply with quote
Code:
. . . | 5 7 . | 6 . .
3 . . | . . . | . . .
2 . 7 | 4 . . | 1 . 3
---------------------
. 3 . | 9 . . | . . .
. 4 . | . 6 . | . 1 .
. . . | . . 8 | . 9 .
---------------------
8 . 6 | . . 5 | 9 . 2
. . . | . . . | . . 5
. . 3 | . 8 4 | . . .


http://www.sudoku.org.uk/DailySudoku.asp?day=25/01/2008

Code:
149     89      149     | 5       7       3       | 6       2       489
3       6       459     | 8       2       1       | 45      57      479
2       58      7       | 4       9       6       | 1       58      3
---------------------------------------------------------------------
1567    3       158     | 9       45      27      | 245     578     4678
579     4       589     | 3       6       27      | 25      1       78
567     27      25      | 1       45      8       | 3       9       467
---------------------------------------------------------------------
8       1       6       | 7       3       5       | 9       4       2
47      27      24      | 6       1       9       | 8       3       5
59      59      3       | 2       8       4       | 7       6       1

I let this one fly a wing and a prayer, then I chained it up for good.
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ravel



Joined: 21 Apr 2006
Posts: 536
PostPosted: Sat Jan 26, 2008 5:01 pm    Post subject: Reply with quote
Nice BUG after the wing.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jan 26, 2008 10:56 pm    Post subject: Reply with quote
Maybe this is what ravel means:

After an XYZ-wing,
Code:
+-------------+-------------+-------------+
| 14  89  14  | 5   7   3   | 6   2   89  |
| 3   6   59  | 8   2   1   | 4   57  79  |
| 2   58  7   | 4   9   6   | 1   58  3   |
+-------------+-------------+-------------+
| 16  3   158 | 9   45  27  | 25  78  46  |
| 59  4   589 | 3   6   27  | 25  1   78  |
| 67  27  25  | 1   45  8   | 3   9   46  |
+-------------+-------------+-------------+
| 8   1   6   | 7   3   5   | 9   4   2   |
| 47  27  24  | 6   1   9   | 8   3   5   |
| 59  59  3   | 2   8   4   | 7   6   1   |
+-------------+-------------+-------------+

If you work out this BUG+2, one of R45C3 must be <5>. Which solves R6C3 as <2>, which leads to

Code:
+-------------+-------------+-------------+
| 4   89  1   | 5   7   3   | 6   2   89  |
| 3   6   59  | 8   2   1   | 4   57  79  |
| 2   58  7   | 4   9   6   | 1   58  3   |
+-------------+-------------+-------------+
| 1   3   58  | 9   4   27  | 25  78  6   |
| 59  4   589 | 3   6   27  | 25  1   78  |
| 6   7   2   | 1   5   8   | 3   9   4   |
+-------------+-------------+-------------+
| 8   1   6   | 7   3   5   | 9   4   2   |
| 7   2   4   | 6   1   9   | 8   3   5   |
| 59  59  3   | 2   8   4   | 7   6   1   |
+-------------+-------------+-------------+

which is a BUG+1. R5C3 must be <5>.

Keith
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jan 26, 2008 11:23 pm    Post subject: Reply with quote
Quote:
If you work out this BUG+2, one of R45C3 must be <5>. Which solves R6C3 as <2>


Oops!

There are other eliminations, which solve the puzzle immediately.

Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Sat Jan 26, 2008 11:27 pm    Post subject: Reply with quote
I used the xyz-wing in box 3 on 245, which boiled it down to a bug+2, but I used an xy-chain.
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