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Another SH

 
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Victor



Joined: 29 Sep 2005
Posts: 207
Location: NI

PostPosted: Sun Dec 09, 2007 7:55 pm    Post subject: Another SH Reply with quote

I've been doing Daily S VHs & Brainbashers SHs for ages, but increasingly sporadically. (Yes, you can occasionally miss a pointed pair or something, but mostly they're pretty easy.) So I've been expanding my range recently, mostly by tracking posted puzzles here: many thanks for helpful comments. I partcularly like the single-digit techniques, like continuing say an XY-wing with colouring, or bouncing round the board with ERs.

Anyway, I'm now managing to do some of my own. Here's one that took me quite a long time - no doubt some people will find a fast way through. My solution path included XY-wings extended by colouring and finned X-wings. It's a Menneske 6333924 SH. After basics:
Code:

+----------+-------------+------------+
| 157 8  2 | 679 3   167 | 4  157 159 |
| 157 6  4 | 789 157 178 | 3  2   159 |
| 3   57 9 | 2   157 4   | 8  157 6   |
+----------+-------------+------------+
| 57  2  6 | 3   9   78  | 15 4   158 |
| 9   3  8 | 1   4   5   | 2  6   7   |
| 4   57 1 | 78  6   2   | 9  58  3   |
+----------+-------------+------------+
| 28  9  7 | 5   12  3   | 6  18  4   |
| 28  4  3 | 67  127 167 | 15 9   158 |
| 6   1  5 | 4   8   9   | 7  3   2   |
+----------+-------------+------------+

Play this puzzle online at the Daily Sudoku site
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Sun Dec 09, 2007 8:26 pm    Post subject: Reply with quote

There is an x-wing in 1, which gives you a w-wing in 57, then coloring in 7 solves the puzzle.
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Victor



Joined: 29 Sep 2005
Posts: 207
Location: NI

PostPosted: Sun Dec 09, 2007 11:56 pm    Post subject: Reply with quote

Thanks. Impressively fast! (Took me hours & a long-winded path because I missed the W-wing.) But don't you need a small XY-wing to finsih off?
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nataraj



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

PostPosted: Mon Dec 10, 2007 6:32 pm    Post subject: Reply with quote

my way - step by step:

x-wing <1> remove 1 from r1c8, r2c5, r8c5
multi coloring <7> remove 7 from r1c6
xy-wings remove 7 from r4c7 (78-85-57), 1 from r8c7 (15-58-81)
multi-coloring removes 5 from r2c9
w-wing "57" r1c8 ... r4c1
multi-coloring: remove 5 from r2c1, r3c5 and remove 7 from r2c4,
and again coloring removes 7 from r8c6
2 xy-wings 15-57-71 pivot r3c2

guess I must have taken the looooooooooooong way!
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