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Outlaw puzzle from Paul's Pages

 
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Marty R.



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

PostPosted: Sat Nov 01, 2008 4:41 am    Post subject: Outlaw puzzle from Paul's Pages Reply with quote

There's always the chance I missed something more straightforward, but if you like wings with transport, including a rare (for me) XYZ transport, then you might like this one.

Code:

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

Play this puzzle online at the Daily Sudoku site
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arkietech



Joined: 31 Jul 2008
Posts: 1832
Location: Northwest Arkansas USA

PostPosted: Sat Nov 01, 2008 8:09 am    Post subject: Reply with quote

I found an xy-wing, kite, xyz-wing and xy-chain. I didn't see the transport. Nice puzzle Very Happy
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keith



Joined: 19 Sep 2005
Posts: 3340
Location: near Detroit, Michigan, USA

PostPosted: Sat Nov 01, 2008 4:53 pm    Post subject: Reply with quote

A little different:

XY-wing
XYZ-wing
XY-loop (bidirectional)
W-wing
W-wing
BUG+2

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Nov 01, 2008 6:47 pm    Post subject: Reply with quote

Code:
 XY-Wing, XYZ-Wing, 2-String Kite, and this 4-cell XY-Chain
 +---------------------------------------------------------------+
 |  48    1    *27    |  567-2 *78    9     |  3     56    45    |
 |  48    6     9-2   | *25     3    *58    |  1     7     459   |
 |  5     3     79    |  67     1     4     |  2     68    89    |
 |--------------------+---------------------+--------------------|
 |  1     58    4     |  3      6     2     |  58    9     7     |
 |  6     7     58    |  9      4     1     |  58    2     3     |
 |  9     2     3     |  8      5     7     |  6     4     1     |
 |--------------------+---------------------+--------------------|
 |  7     4     58    |  1      2     58    |  9     3     6     |
 |  3     589   1     |  57     789   6     |  4     58    2     |
 |  2     589   6     |  4      89    3     |  7     1     58    |
 +---------------------------------------------------------------+

I'm always impressed with how many ways a 4-cell XY-Chain can be viewed. Here's one of my favorite perspectives.

Strong link on (8) in [b2] between bivalue cells forces [r1c5]=7 or [r2c6]=5. Trivial forcing net follows.

Code:
 [r1c5]=7 [r1c3]<>7 [r1c3]=2  =>  [r1c4],[r2c3]<>2
 [r2c6]=5 [r2c4]<>5 [r2c4]=2  =>  [r1c4],[r2c3]<>2
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