Collection April 16, 2013

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Collection April 16, 2013

Postby ArkieTech » Wed Apr 17, 2013 1:14 am

Code: Select all
 *-----------*
 |5..|8.7|..1|
 |...|...|4..|
 |.8.|.5.|.9.|
 |---+---+---|
 |...|..8|1..|
 |361|9..|...|
 |...|62.|..9|
 |---+---+---|
 |.4.|.3.|..7|
 |6..|...|.2.|
 |.3.|.8.|...|
 *-----------*


Play/Print this puzzle online
Last edited by ArkieTech on Wed Apr 17, 2013 2:14 am, edited 1 time in total.
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Re: Collection April 16, 2013

Postby Marty R. » Wed Apr 17, 2013 1:52 am

Dan, when I click on this puzzle I get the Extreme of 4-16, not this one as shown.
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Re: Collection April 16, 2013

Postby ArkieTech » Wed Apr 17, 2013 2:15 am

Marty R. wrote:Dan, when I click on this puzzle I get the Extreme of 4-16, not this one as shown.


Try it now Marty. :oops:
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Re: Collection April 16, 2013

Postby Leren » Wed Apr 17, 2013 2:18 am

Code: Select all
*--------------------------------------------------------------*
| 5    f9-2   4      | 8    e69    7      | 236   36    1      |
| 1279 b127-9 36     | 12    169   239    | 4     58    58     |
|a12    8     36     | 124   5     234    | 7     9     26     |
|--------------------+--------------------+--------------------|
| 2479  2579  2579   | 3     47    8      | 1     4567  456    |
| 3     6     1      | 9     47    5      | 28    478   248    |
| 478   57    578    | 6     2     1      | 35    3457  9      |
|--------------------+--------------------+--------------------|
| 1289  4     2589   | 125   3     269    | 5689  1568  7      |
| 6    c1579  5789   | 1457 d19    49     | 589   2     3      |
| 1279  3     2579   | 1257  8     269    | 569   1456  456    |
*--------------------------------------------------------------*

S-wing with bi-value extension cell: (2=1) r3c1 - [ (1) r2c2 = r8c2 - (1=9) r8c5 - r1c5 = (9) r1c2 ] => -2 r1c2, -9 r2c2 ; stte

PS: I've edited this post to fix a typo spotted by 7b53 (thanks for that) and re-ordered the AIC to (hopefully) make it clearer.

The term in square brackets is the S-wing (19) and the extension cell is "appended" on the left.

If you read the whole AIC from left to right ; => -2 r1c2 and if you read it from right to left as far as the [ ; => -9 r2c2.

If I followed completely minimalist eureka notation I think I'd be entitled to write

(2=1) r3c1 - r2c2 = r8c2 - (1=9) r8c5 - r1c5 = r1c2 => -2 r1c2, -9 r2c2

Leren
Last edited by Leren on Wed Apr 17, 2013 6:19 am, edited 3 times in total.
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Re: Collection April 16, 2013

Postby 7b53 » Wed Apr 17, 2013 4:34 am

Leren wrote: (9) r1c2 = r1c5 - (9=1) r8c5 - r8c2 = r2c2 [ - (1=2) r3c1 ] => -9 r2c2, -2 r1c2 ; stte

adding a cell after r2c2...(9) r1c2 = r1c5 - (9=1) r8c5 - r8c2 = r2c2 = (7)r2c1 => -9 r2c1 also
Mmm...but doesn't this immediately shows (9)r1c5 = no solution ...

what will be the name for this chain then ?
(9=1)r8c5 - r8c2 = r2c2 - (1=2)r3c1 - (2=9)r1c2 => r1c5 , r8c2 <>9
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Re: Collection April 16, 2013

Postby pjb » Wed Apr 17, 2013 5:20 am

Code: Select all
 5     a29     4      | 8      6-9    7      | 236    36     1     
 1279  c1279   36     | 12     169    239    | 4      58     58     
b12     8      36     | 124    5      234    | 7      9      26     
 ---------------------+----------------------+---------------------
 2479   2579   2579   | 3      47     8      | 1      4567   456   
 3      6      1      | 9      47     5      | 28     478    248   
 478    57     578    | 6      2      1      | 35     3457   9     
 ---------------------+----------------------+---------------------
 1289   4      2589   | 125    3      269    | 5689   1568   7     
 6     d157-9  5789   | 1457  e19     49     | 589    2      3     
 1279   3      2579   | 1257   8      269    | 569    1456   456   


(9=2) r1c2 - (2=1) r3c1 - r2c2 = r8c2 - (1=9) r8c5 => r1c5, r8c2 <> 9; stte

PS: apologies 7b53: I only realised your solution was much the same after I sent mine

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Re: Collection April 16, 2013

Postby pjb » Wed Apr 17, 2013 5:37 am

Here's something different

(1=9) r8c5 - r1c5 = r1c2 - (9=127) r2c124 => r2c5 <> 1; stte

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Re: Collection April 16, 2013

Postby Leren » Wed Apr 17, 2013 8:00 am

Code: Select all
*---------------------------------------------------------------*
| 5     b29    4      | 8    a69    7      | 236   36    1      |
| 279-1 d1279  36     | 2-1  g19-6  239    | 4     58    58     |
|c12     8     36     | 124   5     234    | 7     9     26     |
|---------------------+--------------------+--------------------|
| 2479   2579  2579   | 3     47    8      | 1     4567  456    |
| 3      6     1      | 9     47    5      | 28    478   248    |
| 478    57    578    | 6     2     1      | 35    3457  9      |
|---------------------+--------------------+--------------------|
| 1289   4     2589   | 125   3     269    | 5689  1568  7      |
| 6     e1579  5789   | 1457 f19    49     | 589   2     3      |
| 1279   3     2579   | 1257  8     269    | 569   1456  456    |
*---------------------------------------------------------------*

(6=2) r1c25 - (2=1) r3c1 - r2c2 = r8c2 - r8c5 = r2c5 => -1 r2c14, -6 r2c5; stte

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Re: Collection April 16, 2013

Postby ArkieTech » Wed Apr 17, 2013 12:30 pm

Code: Select all
 *-----------------------------------------------------------*
 | 5     29    4     | 8    a69    7     | 236   36    1     |
 | 1279  1279 c36    | 12   b169  d23-9  | 4     58    58    |
 | 12    8     36    | 124   5     234   | 7     9     26    |
 |-------------------+-------------------+-------------------|
 | 2479  2579  2579  | 3     47    8     | 1     4567  456   |
 | 3     6     1     | 9     47    5     | 28    478   248   |
 | 478   57    578   | 6     2     1     | 35    3457  9     |
 |-------------------+-------------------+-------------------|
 | 1289  4     2589  | 125   3     269   | 5689  1568  7     |
 | 6     1579  5789  | 1457  19    49    | 589   2     3     |
 | 1279  3     2579  | 1257  8     269   | 569   1456  456   |
 *-----------------------------------------------------------*
h-wing
(9=6)r1c5-r2c5=(6-3)r2c3=3r2c6 => -9r2c6; lclste
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Re: Collection April 16, 2013

Postby tlanglet » Wed Apr 17, 2013 1:36 pm

Another perspective is an almost SdC(12369)r2c456 ab=(36)r2c3, cd=(12=4)r3c4, e=9r2c56
[SdC(12369)r2c456 => r2c12<>9] = [(4-1)r3c4=r3c1-r79c1=r8c2-(1=9)r8c5-r12c5=9r2c6 => r2c12<>9] => r2c12<>9

Ted
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Re: Collection April 16, 2013

Postby Marty R. » Wed Apr 17, 2013 4:34 pm

Code: Select all
+----------------+--------------+---------------+
| 5    29   4    | 8    69  7   | 236  36   1   |
| 1279 1279 36   | 12   169 239 | 4    58   58  |
| 12   8    36   | 124  5   234 | 7    9    26  |
+----------------+--------------+---------------+
| 2479 2579 2579 | 3    47  8   | 1    4567 456 |
| 3    6    1    | 9    47  5   | 28   478  248 |
| 478  57   578  | 6    2   1   | 35   3457 9   |
+----------------+--------------+---------------+
| 1289 4    2589 | 125  3   269 | 5689 1568 7   |
| 6    1579 5789 | 1457 19  49  | 589  2    3   |
| 1279 3    2579 | 1257 8   269 | 569  1456 456 |
+----------------+--------------+---------------+

Play this puzzle online at the Daily Sudoku site

I'm taking the quick and easy way.

X-Wing (1), c25=>r2c4<>1
XY-Wing (39-6), pivot r2c6=>r2c5<>6
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