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7/13 one trick pony

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Jul 13, 2008 8:45 pm    Post subject: 7/13 one trick pony Reply with quote

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


Code:
.------------------------.------------------------.------------------------.
| 13457   457     13457  | 1367    3467    2      | 9       8       135    |
| 6       245     123459 | 8       34      149    | 24      7       135    |
| 123478  2478    123479 | 1379    5       149    | 6       24      13     |
:------------------------+------------------------+------------------------:
| 45      1       45     | 2679    2678    3      | 278     269     6789   |
| 9       2678    27     | 267     1       5      | 2378    236     4      |
| 2378    2678    237    | 4       2678    689    | 1       5       6789   |
:------------------------+------------------------+------------------------:
| 12457   2457    6      | 123     9       148    | 34578   134     78     |
| 145     9       145    | 136     3468    7      | 3458    1346    2      |
| 1247    3       8      | 5       246     146    | 47      1469    679    |
'------------------------'------------------------'------------------------'


this is the one trick pony for 7/13... the rule for the one trick ponies is that one technique is all that is needed to solve them, even if you have to use it more than once.

i am at a loss. I see some interesting coloring on 8 and the UR {4,5} is of no help. then there is a finned creature on 6 and 8, but that is at least 3 different techniques. I am guessing ALS is the Key here and I will leave that up the ALS people.
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nataraj



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

PostPosted: Sun Jul 13, 2008 9:16 pm    Post subject: Reply with quote

Coloring is the "one trick pony".

First, the "interesting coloring" on "8" :

8:-r3c1=r6c1-r6c6=r7c6-r8c5=r8c7-r5c7=r5c2-;r3c2<>8
8:-r5c2=r5c7-r8c7=r8c5-r7c6=r6c6-;r6c2<>8
Code:

+·····+·····+·····+
·     ·     ·     ·
·     ·     ·     ·
·     ·     ·     ·
·     ·     ·     ·
·*-*  ·     ·     ·
+|····+·····+·····+
·|    ·  o  ·o   o·
·|    ·     ·     ·
·| *---------*    ·
·|    ·     ·     ·
·* o  ·  o *·    o·
+·····+····|+·····+
·     ·    *·o   7·
·     ·   / ·     ·
·     ·  *---*    ·
·     ·     ·     ·
·     ·     ·     ·
+·····+·····+·····+


and later, again coloring on "8":

8:-r4c5=r4c7-r6c9=r7c9-r7c6=r6c6-;r6c5<>8
8:-r4c7=r4c5-r6c6=r7c6-;r7c7<>8
Code:

+·····+·····+·····+
·     ·     ·     ·
·     ·     ·     ·
·     ·     ·     ·
·     ·     ·     ·
·     ·     ·     ·
+·····+·····+·····+
·     ·  7---7    ·
·     ·     · \   ·
·     ·     ·  \  ·
·     ·     ·   \ ·
·     ·  o 9·    *·
+·····+····|+····|+
·     ·    *·o   7·
·     ·   / ·     ·
·     ·  *---*    ·
·     ·     ·     ·
·     ·     ·     ·
+·····+·····+·····+

no other methods are needed ...
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Sun Jul 13, 2008 10:45 pm    Post subject: Reply with quote

Related to the coloring and as an alternate way to see it, perhaps the one trick is ER.

nataraj's first pair of colorings can be collapsed into a single application of ERs. r6c12 see r5c2 directly and r6c7 via the ERs in b985.

The second set of colorings can also be seen as two ER eliminations (and, of course, easiest of all as an X-Wing... but that's a different "trick").
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