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MM 1412 and 1414

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun May 24, 2009 6:38 pm    Post subject: MM 1412 and 1414 Reply with quote

#1412
Code:

+-------+-------+-------+
| . 2 . | . . . | . 5 . |
| . 3 9 | . . . | 8 . . |
| 6 . . | 7 . . | . . 9 |
+-------+-------+-------+
| . 1 . | 3 . 8 | . . . |
| . . 2 | . 4 . | 3 . . |
| . . . | 5 . 7 | . 4 . |
+-------+-------+-------+
| 1 . . | . . 2 | . . 4 |
| . . 8 | 4 . . | 5 9 . |
| . 7 . | . . . | . 1 . |
+-------+-------+-------+

open this puzzle in the DRAW/PLAY page

#1414
Code:

+-------+-------+-------+
| . . 7 | 2 . 9 | 3 . . |
| . 3 . | . . . | . 4 1 |
| . 9 . | . . . | . . 8 |
+-------+-------+-------+
| . . . | 9 . . | . . . |
| . 4 . | 6 . 3 | . 2 . |
| 8 . . | . . 2 | . . . |
+-------+-------+-------+
| 7 . . | . . . | . 6 . |
| 9 6 . | . . . | 1 3 . |
| . . 3 | . . 5 | 4 . . |
+-------+-------+-------+

open this puzzle in the DRAW/PLAY page

these puzzles don't mess around. haven't seen both diabolicals stand up to their description in a while.
the puzzles give up a total of 20 singles after basics, combined!
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Sun May 24, 2009 7:50 pm    Post subject: Reply with quote

Don't know about combined. I only did the first one.
After basics,
Code:

+--------------------------+--------------------------+--------------------------+
| 8       2       17       | 169     1369    1369     | 4       5       1367     |
| 57#     3       9        | 2       156#    4        | 8       67      167*     |
| 6       4       15*      | 7       8       135      |-12      23      9        |
+--------------------------+--------------------------+--------------------------+
| 4579    1       4567     | 3       269     8        | 2679    267     2567     |
| 579     589     2        | 169     4       169      | 3       678     15678    |
| 39      89      36       | 5       1269    7        | 1269    4       1268     |
+--------------------------+--------------------------+--------------------------+
| 1       59      35       | 689     35679   2        | 67      3678    4        |
| 23      6       8        | 4       137     13       | 5       9       237      |
| 23459   7       345      | 689     3569    3569     | 26      1       2368     |
+--------------------------+--------------------------+--------------------------+


a m-wing (1)r3c3=r2c9, using the strong link (5) in row 2 sets r3c7=2

singles after that ...
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun May 24, 2009 8:12 pm    Post subject: Reply with quote

nataraj,
of interest...
Ravel would also point out that these puzzles were very often solved with a m-wing.
curious if it wasn't these puzzles which helped in naming the m-wing technique.
hmmmm
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Mon May 25, 2009 9:50 am    Post subject: Reply with quote

Could well be that the m-wing provides a kind of shortcut.
BTW, the second puzzle seems to be much tougher. I gave it a try last night but after a couple of vh moves was still mired in too many candidates for too many cells. Will tackle this one again later in the week.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Tue May 26, 2009 5:55 am    Post subject: Reply with quote

nataraj,
I would give you a hint on the second one but you will probably end up going "fishing" instead.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Tue May 26, 2009 6:33 pm    Post subject: Reply with quote

Phew, just in time (no hint yet) ....

This time it seemed much easier (maybe I should not try to solve sudokus after 8 p.m.)

UR 15 /w sl (1) means r3c1 <> 1 (don't know if this is necessary)

Coloring ( 8 ) removes 8 from r9c2, which opens an xy-wing ( 15-18-58 ) that solves the puzzle.

Nice one!
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue May 26, 2009 7:25 pm    Post subject: Reply with quote

My solution for the first puzzle was a xy-wing 135 with pivot 15 in r3c3 and pseudo-cell 13 in row3; r7c8<>3. This step employs some of the same cells as the m-wing by nataraj.

Ted

ps: Nice to see you posting again nataraj.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Wed May 27, 2009 5:57 am    Post subject: Reply with quote

#1414
in one step.
Code:
.---------------------.---------------------.---------------------.
| 14     18     7     | 2      148    9     | 3      5      6     |
| 256    3      258   | 578    578    678   | 9      4      1     |
| 1456   9      15    | 145    3      146   | 2      7      8     |
:---------------------+---------------------+---------------------:
| 3     *257   *256   | 9      1578   178   |*5678   18     4     |
|*15     4      159   | 6      78     3     | 78     2     *59    |
| 8      57    *569   | 1457   1457   2     |*567   *19     3     |
:---------------------+---------------------+---------------------:
| 7     1-258   12458 | 3      9      148   |*58     6      25    |
| 9      6      458   | 478    2      478   | 1      3      57    |
|*12    1-28    3     | 178    6      5     | 4     *89     279   |
'---------------------'---------------------'---------------------'

(2=1)r9c1 - (1=5)r5c1 - (5)r5c9 = (5)r46c7 - (5=8)r7c7 - (8=9)r9c8 - (9)r6c8 = (9-6)r6c3 = (6-2)r4c3 = (2)r4c2; r79c2 <> 2

Rolling Eyes
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed May 27, 2009 1:11 pm    Post subject: Reply with quote

storm_norm wrote:
#1414
in one step.
Code:
.---------------------.---------------------.---------------------.
| 14     18     7     | 2      148    9     | 3      5      6     |
| 256    3      258   | 578    578    678   | 9      4      1     |
| 1456   9      15    | 145    3      146   | 2      7      8     |
:---------------------+---------------------+---------------------:
| 3     *257   *256   | 9      1578   178   |*5678   18     4     |
|*15     4      159   | 6      78     3     | 78     2     *59    |
| 8      57    *569   | 1457   1457   2     |*567   *19     3     |
:---------------------+---------------------+---------------------:
| 7     1-258   12458 | 3      9      148   |*58     6      25    |
| 9      6      458   | 478    2      478   | 1      3      57    |
|*12    1-28    3     | 178    6      5     | 4     *89     279   |
'---------------------'---------------------'---------------------'

(2=1)r9c1 - (1=5)r5c1 - (5)r5c9 = (5)r46c7 - (5=8)r7c7 - (8=9)r9c8 - (9)r6c8 = (9-6)r6c3 = (6-2)r4c3 = (2)r4c2; r79c2 <> 2

Rolling Eyes


Norm, your chains are amazing Exclamation Exclamation Exclamation

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed May 27, 2009 4:52 pm    Post subject: Reply with quote

#1414:

Code:
 [r8c3]=8 => [r8c3]<>5; otherwise, the following applies

 (5-4)r8c3 = (4-8)r7c3 = (8)r2c3 - (8=1)r1c2 - (1=5)r3c3 => [r8c3]<>5

 Either way, [r8c3]<>5
 +-----------------------------------------------------------------------+
 |  14     18     7      |  2      148    9      |  3      5      6      |
 |  256    3      258    |  578    578    678    |  9      4      1      |
 |  1456   9      15     |  145    3      146    |  2      7      8      |
 |-----------------------+-----------------------+-----------------------|
 |  3      257    256    |  9      1578   178    |  5678   18     4      |
 |  15     4      159    |  6      78     3      |  78     2      59     |
 |  8      57     569    |  1457   1457   2      |  567    19     3      |
 |-----------------------+-----------------------+-----------------------|
 |  7      1258   12458  |  3      9      148    |  58     6      25     |
 |  9      6      458    |  478    2      478    |  1      3      57     |
 |  12     128    3      |  178    6      5      |  4      89     279    |
 +-----------------------------------------------------------------------+
 # 79 eliminations remain

Singles complete the solution.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Wed May 27, 2009 5:43 pm    Post subject: Reply with quote

daj95376 wrote:
#1414:

Code:
 [r8c3]=8 => [r8c3]<5> [r8c3]<>5

 Either way, [r8c3]<>5
 +-----------------------------------------------------------------------+
 |  14     18     7      |  2      148    9      |  3      5      6      |
 |  256    3      258    |  578    578    678    |  9      4      1      |
 |  1456   9      15     |  145    3      146    |  2      7      8      |
 |-----------------------+-----------------------+-----------------------|
 |  3      257    256    |  9      1578   178    |  5678   18     4      |
 |  15     4      159    |  6      78     3      |  78     2      59     |
 |  8      57     569    |  1457   1457   2      |  567    19     3      |
 |-----------------------+-----------------------+-----------------------|
 |  7      1258   12458  |  3      9      148    |  58     6      25     |
 |  9      6      458    |  478    2      478    |  1      3      57     |
 |  12     128    3      |  178    6      5      |  4      89     279    |
 +-----------------------------------------------------------------------+
 # 79 eliminations remain

Singles complete the solution.


Danny,
interesting and nice one !
but since the cell contains three condidates, shouldn't you also show that a 4 would disprove 5?

r8c3 = 4; r8c3 <> 5
||
r8c3 = 5 leads to your chain; r8c3 <> 5
||
r8c3 = 8; r8c3 <> 5.

all three candidates show that a 5 can't exist in r8c3.
definitely a valid logical conclusion.
-----
note that when I clicked on "quote" it didn't include the chain in Danny's original post. Shocked
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed May 27, 2009 8:15 pm    Post subject: Reply with quote

storm_norm wrote:
Danny, interesting and nice one !
but since the cell contains three condidates, shouldn't you also show that a 4 would disprove 5?

r8c3 = 4; r8c3 <> 5
||
r8c3 = 5 leads to your chain; r8c3 <> 5
||
r8c3 = 8; r8c3 <> 5.

I was skating on thin ice with my solution because I was concealing a network.

The chain for [r8c3]=5 fails to force [r2c3]=8 if <8> is still a candidate in [r8c3]. That's why cell [r8c3] was split off into (8=45) as two statements.

If I knew how to create an ALS, I could conceal my network solution as an ALS. Barring that, I just decided to be sneaky.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Mon Jun 01, 2009 4:55 am    Post subject: Reply with quote

I enjoyed 1414 and used a Hidden UR (15), XYZ (128), Finned X-Wing (5), XY-Chain and XY (185).
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Mon Jun 01, 2009 7:30 am    Post subject: Reply with quote

storm_norm wrote:
nataraj,
of interest...
Ravel would also point out that these puzzles were very often solved with a m-wing.
curious if it wasn't these puzzles which helped in naming the m-wing technique.
hmmmm

No,
The M-wing was identified and named by yours truly. I chose the name because it is the simplest case of Medusa coloring, because it is similar to a W-wing (M, W, get it?), and because M is the initial of my last name.
Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jun 01, 2009 7:35 am    Post subject: Reply with quote

keith wrote:
storm_norm wrote:
nataraj,
of interest...
Ravel would also point out that these puzzles were very often solved with a m-wing.
curious if it wasn't these puzzles which helped in naming the m-wing technique.
hmmmm

No,
The M-wing was identified and named by yours truly. I chose the name because it is the simplest case of Medusa coloring, because it is similar to a W-wing (M, W, get it?), and because M is the initial of my last name.
Keith


ohh,
did not know that. thanx for the info.
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