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Pairs

 
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bart

Joined: 11 Aug 2005
Posts: 46
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PostPosted: Tue Aug 30, 2005 10:00 pm    Post subject: Pairs Reply with quote

I'm sorry if this is a stupid question (on this BB it probably is Smile )

from Simple Sudoku

from copy/paste:
Code:

 *-----------*
 |4..|.7.|8..|
 |..1|5..|...|
 |9..|.8.|.31|
 |---+---+---|
 |...|..4|.5.|
 |7..|...|..2|
 |.5.|3..|...|
 |---+---+---|
 |18.|.2.|..3|
 |...|..5|9..|
 |..3|.9.|..4|
 *-----------*


 *-----------*
 |4..|.7.|8.5|
 |8.1|54.|...|
 |975|.8.|431|
 |---+---+---|
 |3..|..4|.5.|
 |7..|.5.|3.2|
 |.5.|3..|...|
 |---+---+---|
 |189|42.|5.3|
 |.47|.35|9..|
 |5.3|.9.|..4|
 *-----------*


{4}      {236}    {26}     {1269}   {7}      {12369}  {8}      {269}    {5}     
{8}      {236}    {1}      {5}      {4}      {2369}   {267}    {2679}   {679}   
{9}      {7}      {5}      {26}     {8}      {26}     {4}      {3}      {1}     
{3}      {1269}   {268}    {126789} {16}     {4}      {167}    {5}      {6789}   
{7}      {169}    {468}    {1689}   {5}      {1689}   {3}      {14689}  {2}     
{26}     {5}      {2468}   {3}      {16}     {126789} {167}    {146789} {6789}   
{1}      {8}      {9}      {4}      {2}      {67}     {5}      {67}     {3}     
{26}     {4}      {7}      {168}    {3}      {5}      {9}      {1268}   {68}     
{5}      {26}     {3}      {1678}   {9}      {1678}   {1267}   {12678}  {4}     


from SS-file:
Code:

 *-----------*
 |4..|.7.|8..|
 |..1|5..|...|
 |9..|.8.|.31|
 |---+---+---|
 |...|..4|.5.|
 |7..|...|..2|
 |.5.|3..|...|
 |---+---+---|
 |18.|.2.|..3|
 |...|..5|9..|
 |..3|.9.|..4|
 *-----------*

I673
I134
I244
I405
I725
I605
I085
I205
E64007
E73017
I197
I098
I569
E64002
E65012
E64006
E65016
I644
I657
I574
I273
I423


or just the screenshot:



Now, I've noticed I can safely delete candidates 2 and 6 in the cells that are on the "crossroads" (in green) of the pairs (in blue)

can you always do this? or is it just coincidence?
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angusj
Site Admin
Joined: 18 Jun 2005
Posts: 406
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PostPosted: Tue Aug 30, 2005 10:22 pm    Post subject: Re: Pairs Reply with quote

bart wrote:
can you always do this? or is it just coincidence?

It's almost certainly a coincidence.
(I certainly wouldn't use this as a 'technique' unless you could find a proof of its certainty.)
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bart

Joined: 11 Aug 2005
Posts: 46
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Items
PostPosted: Tue Aug 30, 2005 10:36 pm    Post subject: Re: Pairs Reply with quote

angusj wrote:
It's almost certainly a coincidence.


I thought so

angusj wrote:
(I certainly wouldn't use this as a 'technique' unless you could find a proof of its certainty.)


I'll try it when occurs, but I'm sure it'll fail
maybe it worked this time because there were so many 2-6 pairs
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