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top95 coloring examples

 
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Bob Hanson

Joined: 05 Oct 2005
Posts: 187
:
Location: St. Olaf College

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PostPosted: Fri Nov 25, 2005 10:03 pm    Post subject: top95 coloring examples Reply with quote

I've written up an interactive description of simple coloring (X-cycle) analysis in the context of the four top95 puzzles that can be solved using this method alone. See

http://www.stolaf.edu/people/hansonr/sudoku/top95-analysis.htm

Included here are:

Code:


#13

weak 3-blade fishy cycle eliminates r4c2#5:

 r4c2#5       |
       x......5*
       .      |
       .      |
      -5------+--5*-
              | /
              |/
              5
              |


weak 3-blade pentagon eliminates r5c6#5:

 |          r5c6#5
 5*.......x
 |        .
 |        .
 |        .
 |        5
 |       /
 |      /
-5-----5*-
 |


weak 2-blade pentagon eliminates r4c2#7:

  r4c2#7     |
        x....7*
     | .     |
     |.      |
     7       |
     |       |
     |       |
     |       |
     7*......7
     |       |


weak 2-blade fishy cycle eliminates r5c5#7:

             |
             7*
     |       | .
     |       |  .
     7...........x r5c5#7
     |       |
     |       |
     |       |
     7*......7
     |       |



#25

strong 4-blade fishy cycle on 5 eliminates all with *:

       
      -1----------1*-
       |          |
       |          |
       1*...........1*
       |          |/
                  1
                  |


#53

strong 6-blade fishy cycle on 7 eliminates all with *:

    |      |
   -7*-----7-
    |      |
    |      |       |
   -7------+-------7*-
    |      |       |
           |       |
           |       |
           |       |
           |       7
           |      /|
           |     /
           7*...7*


strong 4-blade pentagon eliminates all with *:

  |       
 -5--------5*-
  |       /
  |     |/
  |     5        (more cycles exist in this example)
  |     |
  |     |
  5*....5*
  |     |

 
#71

weak 3-blade pentagon eliminates r4c3#7:

           
       -7*-------7-
        .       /
        .     |/
        .     7*
        .     |
        .     |
        x.....7
 r4c3#7       |




_________________
Bob Hanson
Professor of Chemistry
St. Olaf College
Northfield, MN
http://www.stolaf.edu/people/hansonr
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