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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sun Jul 26, 2009 4:11 pm Post subject: Free Press 24 July, 2009 |
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I have not yet looked at this one. | Code: | Puzzle: FP072409
+-------+-------+-------+
| . . 2 | . . 4 | . . . |
| 4 . . | . . 8 | 3 . 7 |
| 3 . . | 1 7 9 | . . 2 |
+-------+-------+-------+
| . 9 . | . . . | . 2 . |
| 6 . . | . . . | . . 1 |
| . 8 . | . . . | . 4 . |
+-------+-------+-------+
| 1 . . | 8 5 6 | . . 4 |
| 7 . 4 | 2 . . | . . 6 |
| . . . | 4 . . | 2 . . |
+-------+-------+-------+ |
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon Jul 27, 2009 12:57 am Post subject: |
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This proved to be very stubborn for me, so it's probably a one-stepper.
| Quote: | | Remote pairs (56), X-Wing (5), XY-Chain, M-Wing (39) with pincer transport and BUG+3 |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Mon Jul 27, 2009 1:39 am Post subject: free press |
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I got it down to three steps.
Solution: x-wing (5); xy-chain eliminates 3's in R6C5, R8C5; 169 xy-wing eliminates 9 in R8C7 to solve the puzzle.
Earl |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon Jul 27, 2009 2:32 am Post subject: |
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Marty,
My solution was similar to yours: Remote pair, X-wing, extended XY-wing <356> and pincer coloring, XY-wing.
Keith |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Mon Jul 27, 2009 4:26 am Post subject: |
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| Code: | .------------------.------------------.------------------.
| 9 7 2 | 356 36 4 | 18 1568 58 |
| 4 1 *56 |*56 2 8 | 3 9 7 |
| 3 *56 8 | 1 7 9 | 4 56 2 |
:------------------+------------------+------------------:
| 5 9 17 |3-67 4 *13 |*68 2 *38 |
| 6 4 3 | 9 8 2 | 5 7 1 |
| 2 8 17 | 367 136 5 | 69 4 39 |
:------------------+------------------+------------------:
| 1 2 9 | 8 5 6 | 7 3 4 |
| 7 *35 4 | 2 139 *13 | 189 158 6 |
| 8 356 56 | 4 139 7 | 2 15 59 |
'------------------'------------------'------------------' |
(6=8)r4c7 - (8=3)r4c9 - (3=1)r4c6 - (1=3)r8c6 - (3=5)r8c2 - (5=6)r3c2 - (6)r2c3 = (6)r2c4; r4c4 <> 6
Last edited by storm_norm on Mon Jul 27, 2009 4:50 pm; edited 2 times in total |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Mon Jul 27, 2009 3:55 pm Post subject: free press |
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Norm,
How do you see those paths? When you point them out I can follow, but spotting them in the first place is beyond me.
Earl |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Mon Jul 27, 2009 6:03 pm Post subject: |
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Interesting. With little effort, this puzzle reduces to this BUG+5. However, showing that [r6c4]=6 is the only valid possibility is beyond me. Thus, I used a chain (found by my solver).
| Code: | ( 1)r6c5 = (1-9)r8c5 = (9)r8c7 - (9=6)r6c7 => [r6c5]<>6 -or-
(6-1)r6c5 = (1-9)r8c5 = (9)r8c7 - (9=6)r6c7 - (6)r6c5 => [r6c5]<>6
+-----------------------------------------------------+
| 9 7 2 | 35+6 36 4 | 1 68 58 |
| 4 1 56 | 56 2 8 | 3 9 7 |
| 3 56 8 | 1 7 9 | 4 56 2 |
|-----------------+-----------------+-----------------|
| 5 9 17 | 67+3 4 13 | 68 2 38 |
| 6 4 3 | 9 8 2 | 5 7 1 |
| 2 8 17 | 37+6 16+3 5 | 69 4 39 |
|-----------------+-----------------+-----------------|
| 1 2 9 | 8 5 6 | 7 3 4 |
| 7 35 4 | 2 19+3 13 | 89 58 6 |
| 8 36 56 | 4 39 7 | 2 1 59 |
+-----------------------------------------------------+
# 32 eliminations remain
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Note: The first chain is logically acceptable, but the second chain dots all of the Is and crosses all of the Ts. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon Jul 27, 2009 8:39 pm Post subject: |
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| Code: | +-------------+-------------+-------------+
| 9 7 2 | 356 36e 4 | 1 68 58 |
| 4 1 56c | 56d 2 8 | 3 9 7 |
| 3 56b 8 | 1 7 9 | 4 56 2 |
+-------------+-------------+-------------+
| 5 9 17 | 367 4 13 | 68 2 38 |
| 6 4 3 | 9 8 2 | 5 7 1 |
| 2 8 17 |367 -136 5 | 69 4 39 |
+-------------+-------------+-------------+
| 1 2 9 | 8 5 6 | 7 3 4 |
| 7 35a 4 | 2 1-39 13 | 89 58 6 |
| 8 36f 56 | 4 39g 7 | 2 1 59 |
+-------------+-------------+-------------+ |
The extended XY-wing abcde takes out <3> in R8C5. Coloring a to f and g takes out <3> in R6C5. Leaving an XY-wing <169> that solves R8C7 as <8>.
Keith |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue Jul 28, 2009 2:07 pm Post subject: |
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I ended up with a two step solution:
a extended xy-wing -356 with pivot 56 in r2c4 and one pincer in r1c5. An extended pincer(E) plus a pincer transport(T) delete 3 in r68c5 (which I strongly suspect is the chain used by Earl),
| Code: |
*-----------------------------------------------------------*
| 9 7 2 | 356 36 4 | 18 1568 58 |
| 4 1 E56 |P56 2 8 | 3 9 7 |
| 3 E56 8 | 1 7 9 | 4 56 2 |
|-------------------+-------------------+-------------------|
| 5 9 17 | 367 4 13 | 68 2 38 |
| 6 4 3 | 9 8 2 | 5 7 1 |
| 2 8 17 | 367 1-36 5 | 69 4 39 |
|-------------------+-------------------+-------------------|
| 1 2 9 | 8 5 6 | 7 3 4 |
| 7 E35 4 | 2 1-39 13 | 189 158 6 |
| 8 T356 56 | 4 T139 7 | 2 15 59 |
*-----------------------------------------------------------* |
The previous moves opens a xy-wing 13-6 with pivot 13 in r4c6 and a pseudocell in r4c79.
Ted |
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