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For Valentine's Day

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Feb 14, 2008 7:44 am    Post subject: For Valentine's Day Reply with quote

Posted by ravel last year, in a different forum:

Code:

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


http://www.sudoku.com/boards/viewtopic.php?t=5255&highlight=valentines

Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Feb 15, 2008 3:39 am    Post subject: Reply with quote

Code:
   |---c1--|---c2--|---c3--||---c4--|---c5--|---c6--||---c7--|---c8--|---c9--
-----------------------------------------------------------------------------
r1 |     5 |     4 |     3 ||     1 |     7 |     6 ||     9 |     2 |     8
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r2 |     6 |     1 |     7 ||     2 |     9 |     8 ||     5 |     3 |     4
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r3 |     9 |     2 |     8 ||     3 |     5 |     4 ||     7 |     1 |     6
===========================||=======================||=======================
r4 |     4 |     9 |    12 ||    56 |     8 |     7 ||    12 |    56 |     3
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r5 |     3 |     7 |    56 ||   456 |  1246 |    25 ||  1246 |     8 |     9
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r6 |    12 |     8 |    56 ||     9 |  1246 |     3 ||  1246 |     7 |   125
===========================||=======================||=======================
r7 |    17 |     3 |     9 ||   456 |   246 |    25 ||     8 |    46 |    17
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r8 |     8 |    56 |    24 ||     7 |   246 |     1 ||     3 |     9 |    25
---+-------+-------+-------||-------+-------+-------||-------+-------+-------
r9 |   127 |    56 |   124 ||     8 |     3 |     9 ||   126 |   456 |  1257
.............................................................................


first three rows solved and yet it doesn't solve.

I began with a coloring on 2

I had to look up the rules of a UR and I believe there is a type 4b UR on {1,7} in col r79c19... it eliminates the 1 in both r9c1 and r9c9

x-wing on 1 then I was stuck looking for xy-chains when I saw the xyz-wing Embarassed doh !!

xyz-wing {4,5,6} pivot in r9c8 eliminates the 6 in r9c7 will finish it off.
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