September 27, 2016

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September 27, 2016

Postby ArkieTech » Mon Sep 26, 2016 11:24 pm

Code: Select all
 *-----------*
 |.12|...|76.|
 |8..|...|..5|
 |6..|192|..8|
 |---+---+---|
 |..6|.27|3..|
 |..5|.1.|6..|
 |..3|96.|8..|
 |---+---+---|
 |2..|789|..3|
 |4..|...|..6|
 |.38|...|97.|
 *-----------*


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dan
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Re: September 27, 2016

Postby Leren » Tue Sep 27, 2016 12:17 am

Code: Select all
*--------------------------------------------------------------*
| 3     1     2      | 48    5     48     | 7     6     9      |
| 8     9     4      | 36    7     36     | 12    12    5      |
| 6     5     7      | 1     9     2      | 4     3     8      |
|--------------------+--------------------+--------------------|
|f19    48    6      | 458   2     7      | 3    f159   4-1    |
| 79    248   5      | 348   1     348    | 6     29    247    |
| 17    24    3      | 9     6    d45     | 8    e125   1247   |
|--------------------+--------------------+--------------------|
| 2     6     1      | 7     8     9      | 5     4     3      |
| 4     7     9      | 25    3    c15     |b12    8     6      |
| 5     3     8      | 26    4     16     | 9     7    a12     |
*--------------------------------------------------------------*

(1) r9c9 = r8c7 - (1=5) r8c6 - r6c6 = r6c8 - (5=19) r4c18 => - 1 r4c9; stte

Leren
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Re: September 27, 2016

Postby SteveG48 » Tue Sep 27, 2016 12:32 am

Code: Select all
 *-----------------------------------------------------------*
 | 3     1     2     | 48    5     48    | 7     6     9     |
 | 8     9     4     | 36    7     36    | 12    12    5     |
 | 6     5     7     | 1     9     2     | 4     3     8     |
 *-------------------+-------------------+-------------------|
 | 19   b48    6     |b458   2     7     | 3     159  a14    |
 | 79    248   5     | 348   1     348   | 6     29    247   |
 | 17    24    3     | 9     6     45    | 8     125   1247  |
 *-------------------+-------------------+-------------------|
 | 2     6     1     | 7     8     9     | 5     4     3     |
 | 4     7     9     |c25    3     15    | 1-2   8     6     |
 | 5     3     8     | 6-2   4     16    | 9     7    a12    |
 *-----------------------------------------------------------*


(2=14)r49c9 - (4=58)r4c24 - (5=2)r8c4 => -2 r8c7,r9c4 ; stte
Steve
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Re: September 27, 2016

Postby pjb » Tue Sep 27, 2016 12:55 am

Code: Select all
 3       1       2      | 48     5      48     | 7      6      9     
 8       9       4      | 36     7      36     | 12     12     5     
 6       5       7      | 1      9      2      | 4      3      8     
------------------------+----------------------+---------------------
 19     a48      6      |a458    2      7      | 3      159   a14     
 79      248     5      | 348    1      348    | 6      29     247   
 17      24      3      | 9      6      45     | 8      125    1247   
------------------------+----------------------+---------------------
 2       6       1      | 7      8      9      | 5      4      3     
 4       7       9      |b25     3      15     |b12     8      6     
 5       3       8      | 26     4      16     | 9      7      2-1     

(1=5)r4c249 - (5=1)r8c47 => -1 r9c9; stte

Phil
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Re: September 27, 2016

Postby Ngisa » Tue Sep 27, 2016 4:27 pm

Code: Select all
+----------+-----------+-------------+
| 3  1   2 | 48  5 48  | 7  6   9    |
| 8  9   4 | 36  7 36  | 12 12  5    |
| 6  5   7 | 1   9 2   | 4  3   8    |
+----------+-----------+-------------+
| 19 e48*  6 | f458 2 7   | 3  159 d14*   |
| 79 248 5 | 348 1 348 | 6  29  247  |
| 17 24  3 | 9   6 4-5  | 8  125 1247 |
+----------+-----------+-------------+
| 2  6   1 | 7   8 9   | 5  4   3    |
| 4  7   9 | 25  3 a15  | b12 8   6    |
| 5  3   8 | 26  4 16  | 9  7   c12   |
+----------+-----------+-------------+

(5=1)r8c6 - (1=2)r8c7 - (2=1)r9c9 - (1=4*)r4c9 - (4=8*)r4c2 - (4*8*=5)r4c4 => -5 r6c6; stte

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Re: September 27, 2016

Postby Sudtyro2 » Tue Sep 27, 2016 5:04 pm

Code: Select all
 *-----------------------------------------------------------*
 | 3     1     2     | 48    5     48b   | 7     6     9     |
 | 8     9     4     | 36    7     36b   | 12e   1-2   5     |
 | 6     5     7     | 1     9     2     | 4     3     8     |
 |-------------------+-------------------+-------------------|
 | 19    48    6     | 458   2     7     | 3     159   14    |
 |*79    248   5     | 348   1     348b  | 6    *29d   47-2  |
 |*17    24    3     | 9     6     45b   | 8    *12+5a 147-2 |
 |-------------------+-------------------+-------------------|
 | 2     6     1     | 7     8     9     | 5     4     3     |
 | 4     7     9     | 25    3     15    | 12d   8     6     |
 | 5     3     8     | 26    4     16b   | 9     7     12c   |
 *-----------------------------------------------------------*
Except for the spoiler, 5r6c8, four cells(*) form a 6-sector (r56c18b46) Disjoint Subset that would eliminate 1r6c9,2r2c8,2r56c9 simply by inspection.
Two separate spoiler chains confirm three of those four potential eliminations:
Code: Select all
5r6c8 - (5=34681)r12569c6 - (1=2)r9c9 - r8c7 = 2r2c7 => - 2r2c8;  stte.
5r6c8 - (5=34681)r12569c6 - (1=2)r9c9                => - 2r56c9; stte.

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Re: September 27, 2016

Postby ArkieTech » Wed Sep 28, 2016 12:16 am

Sudtyro2 wrote:
Code: Select all
 *-----------------------------------------------------------*
 | 3     1     2     | 48    5     48b   | 7     6     9     |
 | 8     9     4     | 36    7     36b   | 12e   1-2   5     |
 | 6     5     7     | 1     9     2     | 4     3     8     |
 |-------------------+-------------------+-------------------|
 | 19    48    6     | 458   2     7     | 3     159   14    |
 |*79    248   5     | 348   1     348b  | 6    *29d   47-2  |
 |*17    24    3     | 9     6     45b   | 8    *12+5a 147-2 |
 |-------------------+-------------------+-------------------|
 | 2     6     1     | 7     8     9     | 5     4     3     |
 | 4     7     9     | 25    3     15    | 12d   8     6     |
 | 5     3     8     | 26    4     16b   | 9     7     12c   |
 *-----------------------------------------------------------*
Except for the spoiler, 5r6c8, four cells(*) form a 6-sector (r56c18b46) Disjoint Subset that would eliminate 1r6c9,2r2c8,2r56c9 simply by inspection.
Two separate spoiler chains confirm three of those four potential eliminations:
Code: Select all
5r6c8 - (5=34681)r12569c6 - (1=2)r9c9 - r8c7 = 2r2c7 => - 2r2c8;  stte.
5r6c8 - (5=34681)r12569c6 - (1=2)r9c9                => - 2r56c9; stte.

SteveC


Could this be expressed as

Code: Select all
[(5=2)DS:1279r56c18]           -2r56c9
[5r6c8-(5=1)r12569c6-(1=2)r9c9]-2r56c9; ste
dan
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Re: September 27, 2016

Postby Sudtyro2 » Wed Sep 28, 2016 1:28 am

ArkieTech wrote:Could this be expressed as
Code: Select all
[(5=2)DS:1279r56c18]           -2r56c9
[5r6c8-(5=1)r12569c6-(1=2)r9c9]-2r56c9; ste

Dan, your chains look fine. But the first chain cites only two of the three potential 2s eliminations. You could also add -2r2c8.
Your second chain is the same as mine. But, I also added my first chain to separately show the third potential 2s elimination as being true as well, and also an stte solution.
Does that answer your question?

SteveC
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Re: September 27, 2016

Postby ArkieTech » Wed Sep 28, 2016 2:56 am

Sudtyro2 wrote:
ArkieTech wrote:Could this be expressed as
Code: Select all
[(5=2)DS:1279r56c18]           -2r56c9
[5r6c8-(5=1)r12569c6-(1=2)r9c9]-2r56c9; ste

Dan, your chains look fine. But the first chain cites only two of the three potential 2s eliminations. You could also add -2r2c8.
Your second chain is the same as mine. But, I also added my first chain to separately show the third potential 2s elimination as being true as well, and also an stte solution.
Does that answer your question?

SteveC


Yes Thank you.

My strategy is simplicity. I try to find a single solution with minimum complexity and show only the eliminations necessary to solve the puzzle.
dan
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Re: September 27, 2016

Postby Sudtyro2 » Wed Sep 28, 2016 10:27 am

ArkieTech wrote: My strategy is simplicity. I try to find a single solution with minimum complexity and show only the eliminations necessary to solve the puzzle.

Dan, you got me thinking...
Since there's a strong link between a 'pattern' and its 'spoiler' maybe we could just write a plain bidirectional AIC for a particular potential elimination:
DS = 5r6c8 - (5=34681)r12569c6 - (1=2)r9c9 => - 2r56c9; stte.

SteveC
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Re: September 27, 2016

Postby ArkieTech » Wed Sep 28, 2016 11:25 pm

Sudtyro2 wrote:
ArkieTech wrote: My strategy is simplicity. I try to find a single solution with minimum complexity and show only the eliminations necessary to solve the puzzle.

Dan, you got me thinking...
Since there's a strong link between a 'pattern' and its 'spoiler' maybe we could just write a plain bidirectional AIC for a particular potential elimination:
DS = 5r6c8 - (5=34681)r12569c6 - (1=2)r9c9 => - 2r56c9; stte.

SteveC


8-)
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