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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Fri Aug 28, 2009 4:51 pm Post subject: Free Press 28 August, 2009 |
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I'm starting to dislike these. | Code: | Puzzle: FP082809
+-------+-------+-------+
| 5 . . | . . . | . . . |
| . . . | . . . | . 6 . |
| . . 3 | . . 2 | 7 4 . |
+-------+-------+-------+
| 4 . 7 | . 2 . | 3 . 8 |
| . . . | . . . | . . . |
| 3 . 2 | . 9 . | . . 5 |
+-------+-------+-------+
| . . 1 | 9 . 8 | 2 . . |
| . 8 . | . . . | . 9 . |
| . . . | . . 4 | . . 1 |
+-------+-------+-------+ |
Keith |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Fri Aug 28, 2009 6:49 pm Post subject: |
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after basics this one doesn't give up anything.
no xy-wings, no x-wings, no xyz-wings, no type 1-4 UR's
but I did find a way out.
| Code: | .---------------------.---------------------.---------------------.
| 5 247 *69 | 347 347 69 | 1 8 23 |
| 2789 247 *49 | 1347 13478 379 | 5 6 23 |
|-68 1 3 | 56 58 2 | 7 4 9 |
:---------------------+---------------------+---------------------:
| 4 9 7 | 56 2 56 | 3 1 8 |
| 1 5 8 | 347 347 37 | 9 2 6 |
| 3 6 2 | 8 9 1 | 4 7 5 |
:---------------------+---------------------+---------------------:
|*67 347 1 | 9 567 8 | 2 35 *47 |
| 27 8 *45 | 1237 1357 357 | 6 9 *47 |
| 2679 237 569 | 27 567 4 | 8 35 1 |
'---------------------'---------------------'---------------------' |
(6=9)r1c3 - (9=4)r2c3 - (4)r8c3 = (4)r8c9 - (4=7)r7c9 - (7=6)r7c1; r3c1 <> 6 |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Fri Aug 28, 2009 8:36 pm Post subject: |
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| storm_norm wrote: |
(6=9)r1c3 - (9=4)r2c3 - (4)r8c3 = (4)r8c9 - (4=7)r7c9 - (7=6)r7c1; r3c1 <> 6 |
Beautiful  |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Aug 28, 2009 8:48 pm Post subject: |
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Well, there's always the Atypical Extension of Non-Productive Skyscraper.
| Code: | after basics:
non-productive Skyscraper for <6> in (*) cells
strong link on <5> intersects one end of Skyscraper and sees the other
(5)r3c5 = (5-6)r3c4 = r3c1 - r7c1 = (6 )r7c5 => [r7c5]<>5
(5)r7c5 - (5)r3c5 = (5-6)r3c4 = r3c1 - r7c1 = (6-5)r7c5
+-----------------------------------------------------------------------+
| 5 247 69 | 347 347 69 | 1 8 23 |
| 2789 247 49 | 1347 13478 379 | 5 6 23 |
| *68 1 3 | *56 @58 2 | 7 4 9 |
|-----------------------+-----------------------+-----------------------|
| 4 9 7 | 56 2 56 | 3 1 8 |
| 1 5 8 | 347 347 37 | 9 2 6 |
| 3 6 2 | 8 9 1 | 4 7 5 |
|-----------------------+-----------------------+-----------------------|
| *67 347 1 | 9 *67-5 8 | 2 35 47 |
| 27 8 45 | 1237 1357 357 | 6 9 47 |
| 2679 237 569 | 27 567 4 | 8 35 1 |
+-----------------------------------------------------------------------+
# 64 eliminations remain
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| Keith in original thread wrote: | I think this is pretty cool. How useful it is, we shall see.
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Does it qualify as useful? |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Fri Aug 28, 2009 9:16 pm Post subject: |
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Well,
There's also this: | Code: | +-------------------+-------------------+-------------------+
| 5 247 69 | 347 347 69 | 1 8 23 |
| 2789 247 49 | 1347 13478 379 | 5 6 23 |
| 68f 1 3 | 56 58e 2 | 7 4 9 |
+-------------------+-------------------+-------------------+
| 4 9 7 | 56 2 56 | 3 1 8 |
| 1 5 8 | 347 347 37 | 9 2 6 |
| 3 6 2 | 8 9 1 | 4 7 5 |
+-------------------+-------------------+-------------------+
| 67g 347b 1 | 9 567d 8 | 2 35c 47a |
| 27 8 45 | 1237 1357 357 | 6 9 47 |
| 2679 237 569 | 27 567 4 | 8 35 1 |
+-------------------+-------------------+-------------------+ |
a <7> implies g <7>, so a <>7.
I think this is kind of ugly (it is the same length as Norm's chain), but beauty is in the eye of the beholder!
(There are shorter chains that make eliminations, but they are not one-steppers.)
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Aug 28, 2009 9:30 pm Post subject: |
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| keith wrote: | (There are shorter chains that make eliminations, but they are not one-steppers.)
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My chain is five cells and a one-stepper.
| Code: | (5)r3c5 = (5-6)r3c4 = r3c1 - r7c1 = (6)r7c5 => [r7c5]<>5
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Even the discontinuous loop form is only five (distinct) cells.
| Code: | (5)r7c5 - (5)r3c5 = (5-6)r3c4 = r3c1 - r7c1 = (6-5)r7c5
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There's also a 5-cell discontinuous loop in [band 3] that's a one-stepper.
| Code: | (6-5)a = (5-4)b = (4)c - (4=7)d - (7=6)e - (6)a
|-----------------------+-----------------------+-----------------------|
| e67 c347 1 | 9 567 8 | 2 35 d47 |
| 27 8 b45 | 1237 1357 357 | 6 9 47 |
| 2679 237 a59-6 | 27 567 4 | 8 35 1 |
+-----------------------------------------------------------------------+
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strmckr
Joined: 18 Aug 2009
Posts: 64
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| Posted: Fri Aug 28, 2009 10:00 pm Post subject: |
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after basic this reduces it to singles. (4 cells)
WXYZ-WING: A=r7c29 {347}, B=r8c1,r9c2 {237}, X=3, Z=7 => r7c1<>7
| Code: | .----------------.------------------.-----------.
| 5 247 69 | 347 347 69 | 1 8 23 |
| 2789 247 49 | 1347 13478 379 | 5 6 23 |
| 68 1 3 | 56 58 2 | 7 4 9 |
:----------------+------------------+-----------:
| 4 9 7 | 56 2 56 | 3 1 8 |
| 1 5 8 | 347 347 37 | 9 2 6 |
| 3 6 2 | 8 9 1 | 4 7 5 |
:----------------+------------------+-----------:
| 6-7 347@ 1 | 9 567 8 | 2 35 47@|
| 27@ 8 45 | 1237 1357 357 | 6 9 47 |
| 2679 237@ 569 | 27 567 4 | 8 35 1 |
'----------------'------------------'-----------' |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Fri Aug 28, 2009 10:04 pm Post subject: |
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| daj95376 wrote: | Well, there's always the Atypical Extension of Non-Productive Skyscraper.
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Cool and useful! |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sat Aug 29, 2009 5:02 am Post subject: |
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| I looked at the potential DP of 35-37-57 in band 3. The first DP killer I looked at, the 4 in r7c2, was invalid and that's all that was needed. |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Tue Sep 01, 2009 7:47 pm Post subject: |
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| Marty R. wrote: | | I looked at the potential DP of 35-37-57 in band 3. The first DP killer I looked at, the 4 in r7c2, was invalid and that's all that was needed. |
Marty, column 5 r79 must have a six.
If you have a deadly pattern it might be using 3567.
I still don't understand what you mean about the 4 in r7c2. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Tue Sep 01, 2009 9:17 pm Post subject: |
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| wapati wrote: | | Marty R. wrote: | | I looked at the potential DP of 35-37-57 in band 3. The first DP killer I looked at, the 4 in r7c2, was invalid and that's all that was needed. |
Marty, column 5 r79 must have a six.
If you have a deadly pattern it might be using 3567.
I still don't understand what you mean about the 4 in r7c2. |
What I meant was that the 4 in r7c2 was one of the possibilities that could kill the DP. When I determined what would happen if r7c2=4, it led to an invalidity, therefore, the 4 had to be removed and that was enough to finish the puzzle. |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Wed Sep 02, 2009 12:20 am Post subject: |
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Well, an ick from me.
?You had the wrong DP and your solving was identical to a guess.
( I'll try the 4, it is wrong, I have it! )
Anyways, it worked. |
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