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Another Question about coloring.

 
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eclark

Joined: 28 Dec 2005
Posts: 70
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PostPosted: Tue Jan 24, 2006 4:25 pm    Post subject: Another Question about coloring. Reply with quote

Well I have my coloring down. Now I just need help drawing inferences.
Here is one position
Code:

...|5.9|8.6
985|.64|.21
..6|..8|.9.
---+---+---
1.8|.97|26.
6.7|.82|..9
.92|6.5|.87
---+---+---
5..|846|972
869|271|..3
..4|953|618


and it colors to :

Code:

2347A   12347a  1A3B     | 5       12a3    9        | 8       3D4     6       
9       8       5        | 3A7B    6       4        | 3a7b    2       1       
234     1234    6        | 1b37b   12A3    8        | 345A7B  9       4D5a   
-------------------------------------------------------------------------------
1       3C45a   8        | 3c4a    9       7        | 2       6       4d5A   
6       345A    7        | 1B34A   8       2        | 1b345   3d45C   9       
34B     9       2        | 6       1b3     5        | 1B34b   8       7       
-------------------------------------------------------------------------------
5       1A3B    1a3b     | 8       4       6        | 9       7       2       
8       6       9        | 2       7       1        | 4C5C    4c5c    3       
2B7a    2b7A    4        | 9       5       3        | 6       1       8


What inferences can I draw from coloring? I don't see any conjugates that share the same color in a house. And I don't see any squares that see both colors for any possibility. or is this just a position that needs something else ?


here is another position and my color map just incase:

Code:

...|5.9|8.6
985|.64|.21
..6|..8|.9.
---+---+---
1.8|.97|26.
6.7|.82|..9
.92|6.5|.87
---+---+---
5..|846|972
869|271|..3
..4|953|618



Code:

2347  12347 13     | 5     123   9      | 8     34    6     
9     8     5      | 37    6     4      | 37    2     1     
234   1234  6      | 137   123   8      | 3457  9     45   
-------------------------------------------------------------
1     345   8      | 34    9     7      | 2     6     45   
6     345   7      | 134   8     2      | 1345  345   9     
34    9     2      | 6     13    5      | 134   8     7     
-------------------------------------------------------------
5     13    13     | 8     4     6      | 9     7     2     
8     6     9      | 2     7     1      | 45    45    3     
27    27    4      | 9     5     3      | 6     1     8     
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angusj
Site Admin
Joined: 18 Jun 2005
Posts: 406
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PostPosted: Tue Jan 24, 2006 9:35 pm    Post subject: Re: Another Question about coloring. Reply with quote

eclark wrote:
What inferences can I draw from coloring?

You have what I call a Multi-color (Type 2) pattern on candidate 3s.
See http://www.setbb.com/phpbb/viewtopic.php?p=2575&mforum=sudoku#2575
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eclark

Joined: 28 Dec 2005
Posts: 70
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PostPosted: Wed Jan 25, 2006 12:40 am    Post subject: Reply with quote

Thanks now I just need to find a way to code that up. I think I might code up uniquieness rectangles first.... ok, thanks.
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eclark

Joined: 28 Dec 2005
Posts: 70
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PostPosted: Sat Jan 28, 2006 1:46 am    Post subject: Reply with quote

ok, so I understand the principals of coloring and I can label the colors. Does anyone have any suggestions about how to recognize type one and two coloring? The only thing I can think of involves searching every row, column, and house for every possible.
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