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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Mon Jul 07, 2008 8:27 am Post subject: 7/4 and 7/6 competitions |
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7/6...
| Code: | . . .|. . .|. . .
5 2 .|. . .|. 9 8
9 1 8|. . .|5 . .
-----+-----+-----
1 . .|7 . .|9 . .
. . .|9 . 5|. . .
. . .|. 8 4|. . 6
-----+-----+-----
. . 6|. 3 .|7 8 5
7 4 .|. . .|. 6 1
. . .|. . .|. . . |
----
7/4...
| Code: | . . 7|1 6 4|. . .
. . 6|. . .|. 4 .
. 4 .|. 7 .|. 3 .
-----+-----+-----
9 . .|. 8 .|. . .
4 . 1|9 . 7|5 . .
. . .|. 3 .|. . 2
-----+-----+-----
. 6 .|. 1 .|. 2 .
. 8 .|. . .|6 . .
. . .|8 5 6|4 . . |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Mon Jul 07, 2008 12:04 pm Post subject: |
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7/6
Some coloring (2 and/or 3) and an xy-wing (14-12-24 top right) brought me here:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 46 367c 347 | 58 59 89 | 14 1-234a 23A,C |
| 5 2 34 | 13 14 7 | 6 9 8 |
| 9 1 8 | 36 24b,V 26B,v | 5 3-47b 37 |
+--------------------------+--------------------------+--------------------------+
| 1 8 245 | 7 6 3 | 9 25 24 |
| 46 67 247 | 9 12A 5 | 8 1237a -2347 |
| 3 57 9 | 12 8 4 | 12 57 6 |
+--------------------------+--------------------------+--------------------------+
| 2 9 6 | 4 3 1 | 7 8 5 |
| 7 4 35 | 258 59 89 | 23c 6 1 |
| 8 35c 1 | 56 7 -26v | 34c 24B,C,V 9 |
+--------------------------+--------------------------+--------------------------+
'1': '2': '3': '4':
+·····+·····+·····+ +·····+·····+·····+ +·····+·····+·····+ +·····+·····+·····+
· · ·4-* · · · · *-3· · * o· · o 2· ·6 o· ·1 o ·
· · ·| | · · · · · · | · · · ·| · ·| ·
· ·3-4 ·| | · · · · · · | 4-1 · · ·| 3---1 ·| ·
· ·| | ·| | · · · · · · | ·| · · ·| · | ·| ·
· ·| | ·| | · · · 4-6· · · | ·6 · o 7· ·| · 2-----* ·
+·····+|·|··+|·|··+ +·····+··|·|+·····+ +··|··+·····+·····+ +|····+·····+|····+
· ·| | ·| | · · *· | |· 5 4· · | · · · ·| *-----------2·
· ·| | ·| | · · |· | |· · · | · · · ·| · ·| |·
· ·| 2-----* · · *· 1 |· o o· · | · · *-*· ·6 o· ·| *·
· ·|/ ·|/ · · · / |· · · | · · · · · ·| ·
· ·2-----2 · · ·1-----1 · · | · · · · · ·| ·
+·····+·····+·····+ +·····+|···|+|····+ +··|··+·····+·····+ +·····+·····+|····+
· · · · · ·| |·| · · | · · · · · ·| ·
· · · · · ·| |·| · · | · · · · · ·| ·
· · · · · ·*-----3 · · | 5-------2 · · · ·| ·
· · · · · · \-\|· \ · · |/ · ·| · · · ·| ·
· · · · · · 6---4 · · 5---------4 · · · ·3-2 ·
+·····+·····+·····+ +·····+·····+·····+ +·····+·····+·····+ +·····+·····+·····+
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Eliminations (you don't have to look at the drawings, the connections are in lower case a-a-a between pincers A-A):
m-wings:
A: (2 via 1) pincers r5c5,r1c9 => r5c9<>2 i.e. pincers are "2", using weak link/strong link in "1"
B: (2 via 4) pincers r9c8,r3c6 => r9c6<>2
C: (2 via 3) pincers r1c9,r9c8 => r1c8<>2
w-wings:
V: (4 via 2) pincers r3c5,r9c8 => r3c8<>4
useless: (4 via 3), pincers r2c3,r9c7 strong link 3 in row 8 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Jul 07, 2008 1:39 pm Post subject: |
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7/4 Puzzle
Two steps: a skyscraper on 1 in r38c1 and multicoloring on 9 plus cleanup.
It took me longer to solve than it appears..............
Ted |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Jul 07, 2008 6:03 pm Post subject: |
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Well, as is becoming all to common, my solution to the 7/6 puzzle was again much longer than others (in this case Nataraj). In sequence, I found a Type 4 UR on <26>, an x-wing on <2>, coloring on <2> and then on <3>, an xy-wing on <124> and finally the w-wing on <24> noted by Nataraj that finally did the trick. Clearly some of these moves were not fruitful.
It must be time for my nap ........ 
Ted |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Mon Jul 07, 2008 6:57 pm Post subject: |
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Not to worry, Ted! I did not elaborate on th intermediary steps but I remember there was coloring on 2, on 3, on 2 again, and the xy-wing, before I came to the position above. That leaves only the UR I did not see/use...
Hardly "much" longer  |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Mon Jul 07, 2008 7:58 pm Post subject: |
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Finally got around to do the 7/4
| tlanglet wrote: | 7/4 Puzzle
Two steps: a skyscraper on 1 in r38c1 and multicoloring on 9 plus cleanup.
It took me longer to solve than it appears..............
Ted |
exactly. same solution here. not very fast either. Maybe I should have tried "9" first ... |
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