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Set L Puzzle 71

dailysudoku.com Forum Index -> Puzzles by daj

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Mar 01, 2009 6:11 am Post subject: Set L Puzzle 71

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Last puzzle of this set.

Code:

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

Play this puzzle online at the Daily Sudoku site

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storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Sun Mar 01, 2009 7:07 am Post subject:

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Code:

.---------------------.---------------------.---------------------.
| 7 69 8 | 1 5 3 | 69 2 4 |
| 129 3 1249 | 6 249 78 | 17 89 5 |
| 1269 12469 5 | 24 249 78 | 17 689 3 |
:---------------------+---------------------+---------------------:
| 689 7 469 | 48 3 5 | 2 1 69 |
| 5 249 249 | 7 1 6 | 49 3 8 |
| 168 146 3 | 248 24 9 | 5 46 7 |
:---------------------+---------------------+---------------------:
| 1269 1269 12679 | 3 67 4 | 8 5 269 |
| 4 5 26 | 9 8 1 | 3 7 26 |
| 3 8 679 | 5 67 2 | 469 469 1 |
'---------------------'---------------------'---------------------'

xy-wing {4,6,9} removes 6 from r3c8
x-wing removes 9's from r7c3 and r4c3
opens up the {4,6} in r4c3 to make an extended w-wing to eliminate 4 from r5c23
xy-wing {1,4,6} finishes

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tlanglet

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

Posted: Thu Mar 05, 2009 3:14 pm Post subject:

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I also started with the xy-wing<469> and then the x-wing <9>,
then I found a xy-wing <246> with pivot <46>,
an ER <4> with hinge in box4,
xy-wing <469> with pivot <46> in r4c3.

At this point, I had the following code:

Code:

*-----------------------------------------------------------*
| 7 9 8 | 1 5 3 | 6 2 4 |
| 2 3 14 | 6 49 78 | 17 89 5 |
| 16 146 5 | 2 49 78 | 17 89 3 |
|-------------------+-------------------+-------------------|
| 68 7 46 | 48 3 5 | 2 1 9 |
| 5 2 9 | 7 1 6 | 4 3 8 |
| 18 14 3 | 48 2 9 | 5 6 7 |
|-------------------+-------------------+-------------------|
| 9 16 1267 | 3 67 4 | 8 5 26 |
| 4 5 26 | 9 8 1 | 3 7 26 |
| 3 8 67 | 5 67 2 | 9 4 1 |
*-----------------------------------------------------------*

We now have two interacting Type 1 URs; either alone destroys the other.
UR<67> r79c35 deletes <67> from r7c3
UR <26> r78c39 deletes <26> from r7c3

Together r7c3=1 and completes the puzzle. I do not recall seeing a situation like this before; interesting!

Ted

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Marty R.

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

Posted: Sun Mar 08, 2009 5:08 pm Post subject:

I used a few XYs, a hidden and Type 4 UR, and a couple of ERs. At that point it could be finished with either the 146 XY-Wing or BUG+1.

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