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July 11 DB

 
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Sat Jul 11, 2009 2:30 pm    Post subject: July 11 DB Reply with quote

The July 11 DB is not a single shot. Norm, please prove me wrong!

Complex Solution: xy-chain eliminates 6 in R1C9, xy-chain eliminates 9 in R4C3, xy-wing (568) eliminates 5 in R3C2 and solves the puzzle.


Earl

Code:

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Jul 11, 2009 5:39 pm    Post subject: Reply with quote

got it.
Code:
.---------------------.---------------------.---------------------.
| 4      589    89    | 3569   2      3569  | 1      678    67    |
| 2      6    *7-89   | 1     *579    579   |*58     3      4     |
| 3     *15    *17    | 4567   8      4567  | 56     2      9     |
:---------------------+---------------------+---------------------:
| 8      149    149   | 26     19     26    | 7      5      3     |
| 5     *19     6     | 347    37     347   | 2     *19     8     |
| 7      3      2     | 8     *159   *59    | 4     *169    16    |
:---------------------+---------------------+---------------------:
| 9      248    48    | 2357   6      12357 | 38     178    127   |
| 1      7      5     | 239    39     8     | 369    4      26    |
| 6      28     3     | 279    4      1279  | 89     178    5     |
'---------------------'---------------------'---------------------'

(8=5)r2c7 - (5)r2c5 = (5)r6c5 - (5=9)r6c6 - (9)r6c8 = (9)r5c8 - (9=1)r5c2 - (1)r3c2 = (1-7)r3c3 = (7)r2c3; r2c3 <> 8
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Marty R.



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

PostPosted: Sat Jul 11, 2009 6:41 pm    Post subject: Reply with quote

There is a potential DP (89-49-48) in boxes 1-4-7. Any of the ways to kill it (5 in r1c2, 1 in r4c2 or r4c3, and 2 in r7c2) results in a few cells forced and that solves it.
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ttt



Joined: 06 Dec 2008
Posts: 42
Location: vietnam

PostPosted: Sat Jul 11, 2009 6:45 pm    Post subject: Reply with quote

storm_norm wrote:
got it.
Code:
.---------------------.---------------------.---------------------.
| 4      589    89    | 3569   2      3569  | 1      678    67    |
| 2      6    *7-89   | 1     *579    579   |*58     3      4     |
| 3     *15    *17    | 4567   8      4567  | 56     2      9     |
:---------------------+---------------------+---------------------:
| 8      149    149   | 26     19     26    | 7      5      3     |
| 5     *19     6     | 347    37     347   | 2     *19     8     |
| 7      3      2     | 8     *159   *59    | 4     *169    16    |
:---------------------+---------------------+---------------------:
| 9      248    48    | 2357   6      12357 | 38     178    127   |
| 1      7      5     | 239    39     8     | 369    4      26    |
| 6      28     3     | 279    4      1279  | 89     178    5     |
'---------------------'---------------------'---------------------'

(8=5)r2c7 - (5)r2c5 = (5)r6c5 - (5=9)r6c6 - (9)r6c8 = (9)r5c8 - (9=1)r5c2 - (1)r3c2 = (1-7)r3c3 = (7)r2c3; r2c3 <> 8

Why don’t use our favourite technique… Very Happy. Look at AUR(59)r26c56 => at least one of [(1)r6c5, (7)r2c56] must be true:
(1)r6c5=(7)r2c56-(7)r2c3=(7-1)r3c3=(1)r3c2-(1)r5c2=(1)r5c8 => r6c89<>1

ttt
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