AU Tough January 25, 2013

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AU Tough January 25, 2013

Postby ArkieTech » Fri Jan 25, 2013 7:50 am

Code: Select all
 *-----------*
 |1..|...|3..|
 |...|817|...|
 |.2.|...|.6.|
 |---+---+---|
 |..8|.4.|..5|
 |.9.|...|.3.|
 |6..|.3.|9..|
 |---+---+---|
 |.1.|...|.4.|
 |...|652|...|
 |..7|...|..9|
 *-----------*


Play/Print this puzzle online
dan
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Re: AU Tough January 25, 2013

Postby Leren » Fri Jan 25, 2013 8:05 am

Code: Select all
*--------------------------------------------------------------------------------*
| 1       78      459      | 2       6       45       | 3       789     478      |
| 49      6       3        | 8       1       7        |c245     259     24       |
| 78      2       45       | 45      9       3        | 78      6       1        |
|--------------------------+--------------------------+--------------------------|
| 37      37      8        | 9       4       6        | 12      12      5        |
|a45      9       1        | 57      2       58       |b478     3       6        |
| 6       45      2        | 157     3       158      | 9       78      478      |
|--------------------------+--------------------------+--------------------------|
| 2-5     1       6        | 3       7       9        |d258     4       28       |
| 489     48      49       | 6       5       2        | 17      17      3        |
| 235     35      7        | 14      8       14       | 6       25      9        |
*--------------------------------------------------------------------------------*


m-wing: (5=4) r5c1 - r5c7 = (4-5) r2c7 = r7c7 => r7c1 <> 5; stte

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Re: AU Tough January 25, 2013

Postby ArkieTech » Fri Jan 25, 2013 12:16 pm

Code: Select all
 *--------------------------------------------------*
 | 1    78   459  | 2    6    45   | 3    789  478  |
 | 49   6    3    | 8    1    7    |e24-5 259  24   |
 | 78   2    45   | 45   9    3    | 78   6    1    |
 |----------------+----------------+----------------|
 | 37   37   8    | 9    4    6    | 12   12   5    |
 |c45   9    1    | 57   2    58   |d478  3    6    |
 | 6    45   2    | 157  3    158  | 9    78   478  |
 |----------------+----------------+----------------|
 |b25   1    6    | 3    7    9    |a258  4    28   |
 | 489  48   49   | 6    5    2    | 17   17   3    |
 | 235  35   7    | 14   8    14   | 6    25   9    |
 *--------------------------------------------------*
s-wing
5r7c7=r7c1-(5=4)r5c1-r5c7=r2c7 => -5r2c7; stte
dan
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Re: AU Tough January 25, 2013

Postby tlanglet » Fri Jan 25, 2013 2:24 pm

Code: Select all
 *--------------------------------------------------*
 | 1    78   459  | 2    6    45   | 3    789  478  |
 | 49   6    3    | 8    1    7    |*245  259 *24   |
 | 78   2    45   | 45   9    3    | 78   6    1    |
 |----------------+----------------+----------------|
 | 37   37   8    | 9    4    6    | 12   12   5    |
 |*45   9    1    | 57   2   *58   |*478  3    6    |
 | 6   *45   2    | 157  3   *158  | 9    78  *478  |
 |----------------+----------------+----------------|
 | 25   1    6    | 3    7    9    |*258  4   *28   |
 | 489  48   49   | 6    5    2    | 17   17   3    |
 | 235  35   7    | 14   8    14   | 6    25   9    |
 *--------------------------------------------------*

Almost BUG-Lite (24)b3, (28)b9, (48)b6, (45)b4, (58)b5: internal SIS 5r2c7, 5r7c7, 7r5c7, 7r6c9, 1r6c6 => r5c6=8
(5-4)r2c7=(4-8)r5c7=8r5c6
||
5r7c7-(5=8)r9486c8-r6c6=8r5c6
||
(7-8)r5c7=8r5c6
||
7r6c9-(7=8)r6c8-r6c6=8r5c6
||
(1-8)r6c6=8r5c8 => r5c6=8

As sometimes happens, the long fun solutions prove to be useless...... :roll:

Next I noticed another Almost BUG-Lite (58)b5, (45)b4, (48)b7: internal SIS 1r6c6, 9r8c1
My first solution resulted in the same useless result as the prior AB-L(). So I used another logic path:

(4=9)r2c1-ABL(458)=1r6c6-(1=4)r9c6=r1c6-4r3c4 => r3c3<>4

which did more damage than the first but still required another step to complete the puzzle.

(2=5)r9c8-(5=8)r941c2-r3c1=r3c7-r7c7=8r7c9 => r7c9<>2

Ted
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Re: AU Tough January 25, 2013

Postby eleven » Fri Jan 25, 2013 4:06 pm

tlanglet wrote:Almost BUG-Lite (24)b3, (28)b9, (48)b6, (45)b4, (58)b5

This is no valid BUG-Lite. You can check this, because an "outside" number like 4r2c1 or 5r9c2 would leave a unique solution of the BL pattern. In a valid BL pattern all outside numbers seeing the same digit would make the pattern invalid.
[Added:]Maybe its easier to see it this way: If you have a solution with one of the 2 possible BL-pattern solutions, it is unique, if it contains a 4r2c1 or a 5r9c2.
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Re: AU Tough January 25, 2013

Postby Leren » Fri Jan 25, 2013 8:37 pm

Code: Select all
*--------------------------------------------------------------------------------*
| 1       78      459      | 2       6       45       | 3       789     478      |
| 49      6       3        | 8       1       7        | 245C    259     24       |
| 78      2       45       | 45      9       3        |b78      6       1        |
|--------------------------+--------------------------+--------------------------|
| 37      37      8        | 9       4       6        |b12      12      5        |
|a45A     9       1        | 57      2       58       |b478B    3       6        |
| 6       45      2        | 157     3       158      | 9       78      478      |
|--------------------------+--------------------------+--------------------------|
| 2-5     1       6        | 3       7       9        |b258D    4       28       |
| 489     48      49       | 6       5       2        |b17      17      3        |
| 235     35      7        | 14      8       14       | 6       25      9        |
*--------------------------------------------------------------------------------*


(5=4) r5c1 - (4=5) r34578c7 => r7c1 <> 5; stte

or

(5=4) r5c1 - r5c7 = (4-5) r7c2 = r7c7 => r7c1 <> 5; stte

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Re: AU Tough January 25, 2013

Postby Luke » Sat Jan 26, 2013 3:14 am

tlanglet wrote:
Code: Select all
 *--------------------------------------------------*
 | 1    78   459  | 2    6    45   | 3    789  478  |
 | 49   6    3    | 8    1    7    |*245  259 *24   |
 | 78   2    45   | 45   9    3    | 78   6    1    |
 |----------------+----------------+----------------|
 | 37   37   8    | 9    4    6    | 12   12   5    |
 |*45   9    1    | 57   2   *58   |*478  3    6    |
 | 6   *45   2    | 157  3   *158  | 9    78  *478  |
 |----------------+----------------+----------------|
 | 25   1    6    | 3    7    9    |*258  4   *28   |
 | 489  48   49   | 6    5    2    | 17   17   3    |
 | 235  35   7    | 14   8    14   | 6    25   9    |
 *--------------------------------------------------*

Almost BUG-Lite (24)b3, (28)b9, (48)b6, (45)b4, (58)b5.......
Ted

Wow, buddy, that's one ambitious attempt at a BUG-Lite :!:

Each value in a BL must appear twice in all of a row/box/column. In this pattern, neither the 4 nor 5 in box 4 meets that criteria in the columns.
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Re: AU Tough January 25, 2013

Postby eleven » Sat Jan 26, 2013 12:44 pm

Luke451 wrote:Each value in a BL must appear twice in all of a row/box/column.

Oh yes, so simple can it be said for deadly patterns with 2 candidates per cell.
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Re: AU Tough January 25, 2013

Postby tlanglet » Sat Jan 26, 2013 1:28 pm

Thanks all for the various replies. I know the conditions for DPs, but I seemed to have been 'blinded" by my enthusiasm to solve all the inference conditions that I forget to truly analyze the pattern.

Ted
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Re: AU Tough January 25, 2013

Postby Marty R. » Sat Jan 26, 2013 8:33 pm

I left another M-Wing on the table. :oops:

Used a short AIC and a four-cell XY-Chain.
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