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One for Christmas

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Thu Dec 24, 2009 10:33 pm    Post subject: One for Christmas Reply with quote
This one was fun. It is Dec 23's Vanhegan fiendish.
Code:
Puzzle: New Puzzle #71
+-------+-------+-------+
| . . 2 | . 7 9 | . . . |
| . . 7 | 1 . . | 4 . . |
| . . . | 6 . . | . 9 7 |
+-------+-------+-------+
| . . 9 | 5 . . | 2 . 4 |
| . 1 . | . . . | . 6 . |
| 3 . . | . . 2 | 8 . . |
+-------+-------+-------+
| 9 6 . | . . 1 | . . . |
| . . 5 | . . 8 | 3 . . |
| . . . | 7 3 . | 9 . . |
+-------+-------+-------+

edit: I now see that my final move is actually a one-stepper. Cool
Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Thu Dec 24, 2009 11:26 pm    Post subject: Reply with quote
This is probably not the one-stepper Keith found. Keep looking!

Code:
 after basics
 +--------------------------------------------------------------+
 |  1     4     2     |  38    7     9     |  6     358   358   |
 |  6     9     7     |  1     58    35    |  4     238   238   |
 |  5     3     8     |  6     2     4     |  1     9     7     |
 |--------------------+--------------------+--------------------|
 |  78    78    9     |  5     16    36    |  2     13    4     |
 |  2     1     4     |  38    89    7     |  5     6     39    |
 |  3     5     6     |  49    149   2     |  8     7     19    |
 |--------------------+--------------------+--------------------|
 |  9     6     3     |  24    45    1     |  7     2458  258   |
 |  47    27    5     |  249   469   8     |  3     124   126   |
 |  48    28    1     |  7     3     56    |  9     245   256   |
 +--------------------------------------------------------------+
 # 47 eliminations remain

Code:
 Blue/Green coloring on <6>               Pink/Amber coloring on <1>
 cells r4c5,r8c9 are both Blue            cells r4c5,r8c9 alternate color
 +-----------------------------------+    +-----------------------------------+
 |  .  .  .  |  .  .  .  |  6  .  .  |    |  1  .  .  |  .  .  .  |  .  .  .  |
 |  6  .  .  |  .  .  .  |  .  .  .  |    |  .  .  .  |  1  .  .  |  .  .  .  |
 |  .  .  .  |  6  .  .  |  .  .  .  |    |  .  .  .  |  .  .  .  |  1  .  .  |
 |-----------+-----------+-----------|    |-----------+-----------+-----------|
 |  .  .  .  |  . B6 G6  |  .  .  .  |    |  .  .  .  |  . P1  .  |  . A1  .  |
 |  .  .  .  |  .  .  .  |  .  6  .  |    |  .  1  .  |  .  .  .  |  .  .  .  |
 |  .  .  6  |  .  .  .  |  .  .  .  |    |  .  .  .  |  . A1  .  |  .  . P1  |
 |-----------+-----------+-----------|    |-----------+-----------+-----------|
 |  .  6  .  |  .  .  .  |  .  .  .  |    |  .  .  .  |  .  .  1  |  .  .  .  |
 |  .  .  .  |  . G6  .  |  .  . B6  |    |  .  .  .  |  .  .  .  |  . P1 A1  |
 |  .  .  .  |  .  . B6  |  .  . G6  |    |  .  .  1  |  .  .  .  |  .  .  .  |
 +-----------------------------------+    +-----------------------------------+

If Blue is true for <6>, then neither Pink nor Amber can be true for <1>.

My apologies Keith for interrupting, but this scenario is rare (for me) and I wanted to share.

Regards, Danny
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Thu Dec 24, 2009 11:44 pm    Post subject: Reply with quote
Danny,

Quote:
There is a 1/2 GM Wing on 16 that takes out 1 in R6C5.

I think your multi-coloring is about the same thing.

Sweet!

Keith

Last edited by keith on Thu Dec 24, 2009 11:46 pm; edited 1 time in total
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Thu Dec 24, 2009 11:45 pm    Post subject: Reply with quote
Quote:
m-wing
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Dec 25, 2009 4:30 am    Post subject: Reply with quote
Danny,

Is this something you did by hand?

Or, does your solver do what seems to be Medusa coloring? If so, that is amazing!

(How would you classify/name the solution you posted?)

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Dec 25, 2009 5:02 am    Post subject: Reply with quote
keith wrote:
Danny,

Is this something you did by hand?

Or, does your solver do what seems to be Medusa coloring? If so, that is amazing!

(How would you classify/name the solution you posted?)

Keith,

It's a feature that I recently added to the Templates module of my solver.

When two candidate values are reduced to two patterns (each) for a grid, then it x-checks to see if a pattern for one value comes in conflict with both patterns of the second value ... and where. (This allows the use of coloring to explain the conflict.)

Code:
 for '6' = { r1c7,r2c1,r3c4,r4c5,r5c8,r6c3,r7c2,r8c9,r9c6 }, '1' fails for { r4c5,r8c9 }

         Templates (A: 1)                <> 6    r4c5,r8c9,r9c6

Regards, Danny

Note: My solver is capable of resolving scenarios where more than two patterns exist for any candidate value, but I have it inhibited because trying to explain the results is murder!
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Fri Dec 25, 2009 11:27 am    Post subject: Reply with quote
Merry Christmas Very Happy
Code:
 
 *-----------------------------------------------------------*
 | 1     4     2     | 38    7     9     | 6     358   358   |
 | 6     9     7     | 1     58    35    | 4     238   238   |
 | 5     3     8     | 6     2     4     | 1     9     7     |
 |-------------------+-------------------+-------------------|
 | 78    78    9     | 5     16    36    | 2     13    4     |
 | 2     1     4     | 38    89    7     | 5     6     39    |
 | 3     5     6     | 49    149   2     | 8     7     19    |
 |-------------------+-------------------+-------------------|
 | 9     6     3     | 24    45    1     | 7     2458  258   |
 | 47    27    5     | 249   469   8     | 3     124   126   |
 | 48    28    1     | 7     3     56    | 9     245   256   |
 *-----------------------------------------------------------*
(6)r8c5=(6-1)r4c5=1(r4c8)-(1)r8c8=(1-6)r8c9=(6)r8c5
=> r8c5=6
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Dec 25, 2009 5:43 pm    Post subject: Reply with quote
My solution:
Code:
+----------------+----------------+----------------+
| 1    4    2    | 38   7    9    | 6    358  358  |
| 6    9    7    | 1    58   35   | 4    238  238  |
| 5    3    8    | 6    2    4    | 1    9    7    |
+----------------+----------------+----------------+
| 78   78   9    | 5    16a  36   | 2   -13   4    |
| 2    1    4    | 38   89   7    | 5    6    39   |
| 3    5    6    | 49  -149  2    | 8    7    19c  |
+----------------+----------------+----------------+
| 9    6    3    | 24   45   1    | 7    2458 258  |
| 47   27   5    | 249  469  8    | 3    124  126b |
| 48   28   1    | 7    3    56   | 9    245  256  |
+----------------+----------------+----------------+

A 6 in a forces a 6 in b. The M-wing is completed by the strong link on 1 in C9. a and c are pincers on 1.

Keith
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