multi colors

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multi colors

Postby lovethepirk » Thu Mar 02, 2006 10:50 pm

Code: Select all
*-----------*
 |265|...|983|
 |748|639|..2|
 |319|582|476|
 |---+---+---|
 |6..|3..|.98|
 |..4|.28|635|
 |853|9.6|..4|
 |---+---+---|
 |..6|8..|..1|
 |.8.|.9.|.67|
 |.37|26.|849|
 *-----------*


 *-----------*
 |265|...|983|
 |748|639|..2|
 |319|582|476|
 |---+---+---|
 |6..|3..|.98|
 |..4|.28|635|
 |853|9.6|..4|
 |---+---+---|
 |..6|8..|..1|
 |.8.|.9.|.67|
 |.37|26.|849|
 *-----------*

 
 *-----------------------------------------------------------*
 | 2     6     5     | 147   147   147   | 9     8     3     |
 | 7     4     8     | 6     3     9     | 15    15    2     |
 | 3     1     9     | 5     8     2     | 4     7     6     |
 |-------------------+-------------------+-------------------|
 | 6     27    12    | 3     45    45    | 17    9     8     |
 | 19    79    4     | 17    2     8     | 6     3     5     |
 | 8     5     3     | 9     17    6     | 127   12    4     |
 |-------------------+-------------------+-------------------|
 | 459   29    6     | 8     457   3457  | 235   25    1     |
 | 145   8     12    | 14    9     1345  | 235   6     7     |
 | 15    3     7     | 2     6     15    | 8     4     9     |
 *-----------------------------------------------------------*

I am trying to learn multicolors but I am confused. I totally understand the simple
colors concept but this multi colors has me baffled

This puzzles comes from the first one on this website,
http://www.simes.clara.co.uk/programs/sudokutechnique12.htm

But Simple Sudoku is solving it with only using two colors.
That site uses 4 different colors and I just can not understand for the life of me why or
how you know when to use more than just two different colors.

Futhermore, when simple sudoku solves this by using only two colors, there are no duplicate
colors in the same group so I do not know how it is doing it.

Thanks for any info or links to other sites that can help me understand this concept.

LTP
Last edited by lovethepirk on Thu Mar 02, 2006 7:55 pm, edited 1 time in total.
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Postby emm » Thu Mar 02, 2006 11:21 pm

LTP - if you're using Simple Sudoku why don't you copy & paste into the message space then highlight the grid and click the code button - it's clearer!
Code: Select all
 *-----------------------------------------------------------*
 | 2     6     5     | 147   147   147   | 9     8     3     |
 | 7     4     8     | 6     3     9     | 15    15    2     |
 | 3     1     9     | 5     8     2     | 4     7     6     |
 |-------------------+-------------------+-------------------|
 | 6     27    12a   | 3     45    45    | 17A   9     8     |
 | 19A   79    4     | 17a   2     8     | 6     3     5     |
 | 8     5     3     | 9     17    6     | 127   12    4     |
 |-------------------+-------------------+-------------------|
 | 459   29    6     | 8     457   3457  | 235   25    1     |
 | 145   8     12A   | 14*   9     1345  | 235   6     7     |
 | 15    3     7     | 2     6     15    | 8     4     9     |
 *-----------------------------------------------------------*


This is not multiple colouring - only one chain is used. The blue and green cells are the conjugate pairs.
r8c4 intersects with a (A) and a (a) so it is false.
No other eliminations can be made.
Last edited by emm on Thu Mar 02, 2006 7:22 pm, edited 1 time in total.
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Re: multi colors

Postby ronk » Thu Mar 02, 2006 11:21 pm

lovethepirk wrote:This puzzles comes from the first one on this website,
http://www.simes.clara.co.uk/programs/sudokutechnique12.htm

But Simple Sudoku is solving it with only using two colors.
That site uses 4 different colors and I just can not understand for the life of me why or how you know when to use more than just two different colors.

That example on the Sadman site is not an example for multi-coloring. It says ... "We're only interested in part of the orange/green chain, as colouring can show that r8c4 cannot be a 1, by considering the chain r8c3 => r4c3 => r5c1 => r5c4. " Look further down the page.

Ron
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