Help with sudoku from dailysudoku.com 4/6/06 (very hard)

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Help with sudoku from dailysudoku.com 4/6/06 (very hard)

Postby notime » Wed Jul 05, 2006 7:23 pm

Code: Select all
-------------------------
| 2 . 5 | . 9 7 | 3 1 8 |
| 7 . 9 | 5 . . | 6 2 4 |
| . . . | 2 . . | 9 . . |
-------------------------
| . 5 4 | . 8 . | 2 . 9 |
| . . 7 | 9 2 5 | 8 4 . |
| 8 9 2 | . 4 . | 1 . . |
-------------------------
| . 2 3 | . 5 . | 7 8 . |
| 5 . 8 | . 7 2 | 4 9 . |
| . 7 . | 8 . . | 5 . 2 |
-------------------------


Thanks!
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Help

Postby keith » Wed Jul 05, 2006 8:03 pm

If you clear the naked and hidden pairs, etc., you get to here.

Code: Select all
+----------------+----------------+----------------+
| 2    46   5    | 46   9    7    | 3    1    8    |
| 7    138  9    | 5    13   138  | 6    2    4    |
| 136  48   16   | 2    136  48   | 9    57   57   |
+----------------+----------------+----------------+
| 36   5    4    | 1367 8    136  | 2    367  9    |
| 136  136  7    | 9    2    5    | 8    4    36   |
| 8    9    2    | 367  4    36   | 1    3567 57   |
+----------------+----------------+----------------+
| 49   2    3    | 146  5    1469 | 7    8    16   |
| 5    16   8    | 136  7    2    | 4    9    136  |
| 49   7    16   | 8    136  49   | 5    36   2    |
+----------------+----------------+----------------+


How much help do you want?

There are two Type-1 Unique Rectangles. But, the quicker way to the solution is to find the X-wing.

Keith
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Postby underquark » Wed Jul 05, 2006 8:06 pm

Row 9 - 1, 3, 6 triple is a start. Then 1, 6 double in Box7, then a few "advanced" techniques (look for a unique rectangle).
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Postby QBasicMac » Thu Jul 06, 2006 12:38 am

After simple stuff, you find an x-wing at r3c3,r9c5 on 6. Therefore r3c1=13 and, more importantly, r9c8=3. That solves the puzzle.

Mac
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