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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Dec 06, 2008 7:08 am Post subject: Set F Puzzle 18 |
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Enjoy the basics.
Code: | +-----------------------+
| 6 4 . | . 7 . | . . . |
| 8 5 . | 4 . 3 | . 1 . |
| . . 7 | . . . | . . 2 |
|-------+-------+-------|
| . 8 . | 1 . 6 | 2 3 . |
| 2 . . | . . 8 | . . . |
| . 6 . | 5 3 . | . 8 . |
|-------+-------+-------|
| . . . | 8 . . | 5 . . |
| . 2 . | 3 . 4 | . . . |
| . . 4 | . . . | . . 3 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Dec 07, 2008 1:40 pm Post subject: |
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Code: | +-----------------------------------------------------------------------+
| 6 4 1239 | 29 7 15 | 39 59 8 |
| 8 5 29 | 4 26 3 | 679 1 679 |
| 139 139 7 | 69 8 15 | 3469 4569 2 |
|-----------------------+-----------------------+-----------------------|
| 47 8 59 | 1 49 6 | 2 3 4579 |
| 2 139 1359 | 7 49 8 | 1469 469 14569 |
| 47 6 19 | 5 3 2 | 1479 8 1479 |
|-----------------------+-----------------------+-----------------------|
| 139 1379 6 | 8 12 79 | 5 249 149 |
| 159 2 8 | 3 156 4 | 169 7 169 |
| 159 179 4 | 26 1256 79 | 8 269 3 |
+-----------------------------------------------------------------------+
# 84 eliminations remain
XY-Wing [r2c5]/[r2c3]+[r3c4] <> 9 [r3c12]
...
XY-Wing [r9c4]/[r3c4]+[r9c8] <> 9 [r3c8]
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Mon Dec 08, 2008 2:41 am Post subject: |
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I was hoping this situation would come up in one of these puzzles.
we have seen how a hinged/grouped link within a box can be used to form a w-wing.
you can use that same inference in a row or a column
as shown below.
this image is the state of the puzzle after a xy-wing {2,6,9} and some basics.
the black lines represent the links on 9 and the red lines are the pincers from the 6's
notice that the 9 in r3c8 is strongly linked to the group of 9's in col 8 in box 9. (they both cannot be false) this makes it possible to connect the w-wing with the {6,9} cells.
you have the w-wing {6,9} via the strong link between the 9 in r3c8 and the group of 9's in r79c8.
(6=9)r8c7 - (9)r79c8 = (9)r3c8 - (9=6)r4c4; r4c7 <> 6 |
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