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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sun May 04, 2008 3:41 pm Post subject: LA Times / Freep May 2, 2008 |
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| Code: | Puzzle: FP050208
+-------+-------+-------+
| . . 6 | 1 8 . | . . 9 |
| 5 . . | . . 9 | . 4 3 |
| . . . | . . . | 7 . . |
+-------+-------+-------+
| 4 6 . | 3 . . | . . . |
| . . . | 8 . 1 | . . . |
| . . . | . . 5 | . 2 8 |
+-------+-------+-------+
| . . 2 | . . . | . . . |
| 8 5 . | 9 . . | . . 2 |
| 3 . . | . 7 6 | 1 . . |
+-------+-------+-------+ |
I used an extended M-wing.
Keith |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Sun May 04, 2008 4:28 pm Post subject: |
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Basics take us a long way.
Here:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 7 34 6 | 1 8 34 | 2 5 9 |
| 5 2 1 | 7 6 9 | 8 4 3 |
| 9 8 34# | 45 35# 2 | 7 1 6 |
+--------------------------+--------------------------+--------------------------+
| 4 6 8 | 3 2 7 | 5 9 1 |
| 2 39 5 | 8 49 1 | 346 367 47 |
| 1 7 39# | 6 49 5 | 34# 2 8 |
+--------------------------+--------------------------+--------------------------+
| 6 1 2 | 45 35# 8 | 9 37* 47 |
| 8 5 7 | 9 1 34o | 346 36 2 |
| 3 49 49 | 2 7 6 | 1 8 5 |
+--------------------------+--------------------------+--------------------------+
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play online
coloring on 3 removes 3 from r5c8 and r8c7, leaving a BUG+1.
With a slightly different ending (marked o instead of *), the coloring chain can be used to take out 4 in r8c7
(start at r6c7: if r6c7=3 then ... coloring chain ... r7c5=3 and r8c6=4) |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sun May 04, 2008 5:04 pm Post subject: |
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| I had the same after-basics grid as nataraj. The BUG+3 solves it, as does an XY-Wing with coloring, as does a W-Wing with coloring and there are undoubtedly more ways available. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun May 04, 2008 9:08 pm Post subject: |
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| I am not a fan of BUG so I tried the xy-chain approach. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun May 04, 2008 9:25 pm Post subject: |
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This is the same grid, I believe:
| Code: | +-------------+-------------+-------------+
| 7 34a 6 | 1 8 34b | 2 5 9 |
| 5 2 1 | 7 6 9 | 8 4 3 |
| 9 8 34# | 45 35 2 | 7 1 6 |
+-------------+-------------+-------------+
| 4 6 8 | 3 2 7 | 5 9 1 |
| 2 39 5 | 8 49 1 | 346 367 47 |
| 1 7 39@ | 6 49 5 | 34# 2 8 |
+-------------+-------------+-------------+
| 6 1 2 | 45 35 8 | 9 37 47 |
| 8 5 7 | 9 1 34c |3-46 36 2 |
| 3 49 49 | 2 7 6 | 1 8 5 |
+-------------+-------------+-------------+ |
The cells <34>, #, are complementary (via the strong links on <3>, @). In the solution, they have the same value. Either:
1. R6C7 is <4>, or
2. R6C7 is <3>, and so is R3C3. With coloring on <4>, abc, R8C6 is <4>.
Either way, R8C7 is not <4>. Solving the puzzle.
#@#a is an M-wing, with pincers<4>. bc extend the pincer a to c.
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon May 05, 2008 12:11 am Post subject: |
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| There's all sorts of things here. 34a and 34# are also a W-Wing, with similar pincer coloring as the M-Wing to eliminate the same 4. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon May 05, 2008 12:48 am Post subject: |
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| Marty R. wrote: | | There's all sorts of things here. |
Yes! Except, there is not a usual "advanced" move.
BUG+?, M-wing, W-wing, ...
But no X- XY-, XYZ-wing.
Keith |
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Victor
Joined: 29 Sep 2005
Posts: 207
Location: NI
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| Posted: Mon May 05, 2008 3:57 am Post subject: |
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Same as Keith - I like M-wings.
| Quote: | | But no X- XY-, XYZ-wing. |
: well, we get plenty of those in VHs. I like W- / M- wing / ER / colouring puzzles with no X-things in sight. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Mon May 05, 2008 5:02 pm Post subject: |
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| keith wrote: |
#@#a is an M-wing, with pincers<4>. bc extend the pincer a to c.
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Keith, I had a suspicion my ####+o chain would be the same as your extended M-wing.
I still have not fully grasped the M-wing. Seems I make the eliminations O.K. but obviously the concept behind M-wing seems so natural to me that I don't associate it with the name. I got an inkling when you explained the chain: this is (one of) the ways I go looking for xy-chains: find cells that are "equal" in one candidate (like linked by one intermediate cell) and then go one further to find a pincer. Is this it? Is this the M-wing? Oh boy, I must have found a couple dozen M-wings and never knew the name ...  |
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