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Victor
Joined: 29 Sep 2005
Posts: 207
Location: NI
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 Posted: Tue Apr 08, 2008 10:10 pm Post subject: A peaceful puzzle |
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M5368492 (15)
| Code: |
+-------+-------+-------+
| . 4 . | . 3 . | . 2 . |
| 5 . 1 | . . 6 | 3 . 4 |
| 2 . . | 5 . . | . . 7 |
+-------+-------+-------+
| . . 9 | . . . | . . 2 |
| . . . | 8 . 7 | . . . |
| 6 . . | . . . | 8 . . |
+-------+-------+-------+
| 1 . . | 3 . . | . . 9 |
| 9 . 7 | . . 4 | 6 . 8 |
| . 2 . | . 7 . | . 1 . |
+-------+-------+-------+
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Play this puzzle online |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Wed Apr 09, 2008 1:15 am Post subject: peaceful |
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A w-wing (35) puts it to rest.
Earl |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Apr 09, 2008 5:56 am Post subject: |
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Very quickly reached this stage:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 7 4 68 | 9 3 18 | 15 2 156 |
| 5 89 1 | 7 2 6 | 3 89 4 |
| 2 389 368 | 5 4 18 | 19 689 7 |
+--------------------------+--------------------------+--------------------------+
| 48# 158 9 | 14 56 3 | 7 456 2 |
| 34# 135 2 | 8 569 7 | 159 34569 1356 |
| 6 7 35# | 14 59 2 | 8 3459 13-5 |
+--------------------------+--------------------------+--------------------------+
| 1 6 4 | 3 8 5 | 2 7 9 |
| 9 35 7 | 2 1 4 | 6 35 8 |
| 38# 2 3-58 | 6 7 9 | 4 1 35# |
+--------------------------+--------------------------+--------------------------+
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Maybe I would have looked a long time for xy-wings, but somehow I must have rememered Earl's hint about the 35s, so that's what I found (the long chain marked # between r9c9 and r6c3). |
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Wed Apr 09, 2008 6:59 am Post subject: |
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There is a flightless *{358} xyz-wing which places digit <5> in R8C2, collapsing the puzzle, either one of these three cells must contain a <3>
R9C13=3 => R8C2=5
R6C3=3 => R3C2=3 => R8C2=5
| Code: | +-------------------------+-------------------------+-------------------------+
| 7 4 68 | 9 3 18 | 15 2 156 |
| 5 89 1 | 7 2 6 | 3 89 4 |
| 2 389 368 | 5 4 18 | 19 689 7 |
+-------------------------+-------------------------+-------------------------+
| 48 158 9 | 14 56 3 | 7 456 2 |
| 34 135 2 | 8 569 7 | 159 34569 1356 |
| 6 7 * 35 | 14 59 2 | 8 3459 135 |
+-------------------------+-------------------------+-------------------------+
| 1 6 4 | 3 8 5 | 2 7 9 |
| 9 -[3]5 7 | 2 1 4 | 6 35 8 |
|*38 2 * 358 | 6 7 9 | 4 1 35 |
+-------------------------+-------------------------+-------------------------+ |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Wed Apr 09, 2008 4:36 pm Post subject: peaceful |
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I am not familiar with a "flightless" xyz-wing.
Also, I do not see the necessary link of boxes 3 & 7 to make R8C2 a 5. I would appreciate more details. Guess I am having a "senior" day.
Earl |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Apr 09, 2008 5:06 pm Post subject: |
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| I interpret "flightless" wings to be wings that make no direct eliminations. |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Wed Apr 09, 2008 6:15 pm Post subject: |
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Box 9 doesn't need to be involved in explaining that flightless XYZ Wing elimination. The grouped <3>s in r79c3 can be transported to r3c2 due to the strong link in r3. Then, r9c1 and r3c2 serve as pincers to eliminate the <3> in r8c2.
Think of it this way: At least one of the three XYZ Wing cells must be <3>. If r9c1 is <3>, r8c2 cannot be <3>. If r9c1 is not <3>, then one of r79c3 is <3>, so r3c3 is not <3>, so r3c2 is <3> and, again, r8c2 is not <3>. Either way, there is no <3> in r8c2. |
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