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hughwill
Joined: 05 Apr 2010 Posts: 422 Location: Birmingham UK
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Posted: Sun Mar 17, 2013 10:50 am Post subject: Mar 17 VH |
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After basics:
Code: |
+--------------+----------------+---------------+
| 678 1678 9 | 1278 4 5 | 3 126 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
+--------------+----------------+---------------+
| 9 68 7 | 1258 1568 12 | 45 3 245 |
| 1 4 2 | 57 3 79 | 8 59 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
+--------------+----------------+---------------+
| 38 9 348 | 15 15 6 | 2 7 48 |
| 2 5 46 | 47 79 8 | 1469 16 3 |
| 678 678 1 | 3 2 49 | 4569 56 4589 |
+--------------+----------------+---------------+
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Play this puzzle online at the Daily Sudoku site
I couldn't do it in one:
Quote: | 3 XY Wings- 479 pivot r9c6, 468 pivot r6c3 and 169 pivot r9c7 |
But a bit more interesting than most previous VHs.
Hugh |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Mar 17, 2013 3:15 pm Post subject: |
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I had the identical solution as yours. |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Sun Mar 17, 2013 6:52 pm Post subject: |
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Code: | +----------------+--------------------+--------------------+
| 678 1678 9 | 1278 4 5 | 3 16(2) 27 |
| 4 167 36 | 9 17 137(2) | 156 8 57(2) |
| 378 2 5 | 6 178 137 | 19 4 79 |
+----------------+--------------------+--------------------+
| 9 68 7 | 1258 1568 12 | 45 3 245 |
| 1 4 2 | 57 3 79 | 8 59 6 |
| 5 3 68 | 248 689 49-2 | 7 9(2) 1 |
+----------------+--------------------+--------------------+
| 38 9 348 | 15 15 6 | 2 7 48 |
| 2 5 46 | 47 79 8 | 1469 16 3 |
| 678 678 1 | 3 2 49 | 4569 56 4589 |
+----------------+--------------------+--------------------+ | [Kite(2R2C8) :=> NP(49)r69c6] or [XYW(49-7)r9c6 :=> -7r5c4]; 7 Singles
Skyscraper(6C18) :=> r8c3=4;ste |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sun Mar 17, 2013 8:57 pm Post subject: |
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Code: | *-----------------------------------------------------------*
| 678 1678 9 | 1278 4 5 | 3 126 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
|-------------------+-------------------+-------------------|
| 9 68 7 | 1258 1568 12 | 45 3 245 |
| 1 4 2 | 57 3 79 | 8 59 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
|-------------------+-------------------+-------------------|
| 38 9 348 | 15 15 6 | 2 7 48 |
| 2 5 46 | 47 79 8 | 1469 16 3 |
| 678 678 1 | 3 2 49 | 4569 56 4589 |
*-----------------------------------------------------------*
net
6r1c8 6r9c1 7r9c2 8r9c9
6r8c8 4r8c3 4r7c9 8r9c9
6r9c8 5r5c8 4r4c7 4r7c9 8r9c9
=> 8r9c9; ste
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Mon Mar 18, 2013 8:37 am Post subject: |
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Dan, could you check the third line of your net ? It leads to r79c9=48 and not r7c9=4+r9c9=8!
JC |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Mon Mar 18, 2013 12:31 pm Post subject: |
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JC Van Hay wrote: | Dan, could you check the third line of your net ? It leads to r79c9=48 and not r7c9=4+r9c9=8!
JC |
HELP! I feel foolish but I don't see it..
Code: | *-----------------------------------------------------------*
| 678 1678 9 | 1278 4 5 | 3 126 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
|-------------------+-------------------+-------------------|
| 9 68 7 | 1258 1568 12 |(4)5 3 25-4 |
| 1 4 2 | 57 3 79 | 8 (5)9 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
|-------------------+-------------------+-------------------|
| 38 9 348 | 15 15 6 | 2 7 (4)8 |
| 2 5 46 | 47 79 8 | 1469 16 3 |
| 678 678 1 | 3 2 49 | 4569 5(6) 45(8)9|
*-----------------------------------------------------------*
net
6r1c8 6r9c1 7r9c2 8r9c9
6r8c8 4r8c3 4r7c9 8r9c9
6r9c8 5r5c8 4r4c7 4r7c9 8r9c9
=> 8r9c9; ste
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Wed Mar 20, 2013 9:00 am Post subject: |
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Dan,
Your net may be written as a "Kraken 6 Column 8", as follows ...
Code: | +---------------------+------------------+-----------------------+
| 78(6) 1678 9 | 1278 4 5 | 3 12(6) 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
+---------------------+------------------+-----------------------+
| 9 68 7 | 1258 1568 12 | (45) 3 25(-4) |
| 1 4 2 | 57 3 79 | 8 9(5) 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
+---------------------+------------------+-----------------------+
| 38 9 38(4) | 15 15 6 | 2 7 (48) |
| 2 5 (46) | 47 79 8 | 169-4 1(6) 3 |
| (678) 6(78) 1 | 3 2 49 | 59-46 (56) -59(48) |
+---------------------+------------------+-----------------------+ | 6r1c8-6r1c1=(6-7)r9c1=(7-8)r9c2=NP(84)r79c9
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6r8c8-(6=4)r8c3-4r7c3=NP(48)r79c9
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6r9c8-5r9c8=5r5c8-(5=4)r4c7-4r7c9=NP(48)r79c9
-> r79c9=48 (or -59r79c9) :=> -4r4c9.r89c7 [+ -6r9c7 due to the use of the included FXW(6C18)]
A simpler interpretation of these eliminations is given by the following "6-SIS chain" ...
Code: | +--------------------+------------------+--------------------+
| 78(6) 1678 9 | 1278 4 5 | 3 12(6) 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
+--------------------+------------------+--------------------+
| 9 68 7 | 1258 1568 12 | (45) 3 25-4 |
| 1 4 2 | 57 3 79 | 8 9(5) 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
+--------------------+------------------+--------------------+
| 38 9 38(4) | 15 15 6 | 2 7 8(4) |
| 2 5 (46) | 47 79 8 | 169-4 1(6) 3 |
| 78(6) 678 1 | 3 2 49 | 59-46 (56) 4589 |
+--------------------+------------------+--------------------+ |
Chain[6] : (4=5)r4c7-5r5c8=5r9c8-Finned XWing[6r9c8=Skyscraper(6r19c1.r18c8)]-(6=4)r8c3-4r7c3=4r7c9 :=> -6r9c6(from the included FXW),-4r4c9.4r89c7(->r79c9=48 )
JC |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Wed Mar 20, 2013 1:41 pm Post subject: |
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JC Van Hay wrote: | 6r1c1=(6-7)r9c1=(7-8)r9c2=NP(84)r79c9
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6r8c8-(6=4)r8c3-4r7c3=NP(48)r79c9
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6r9c8-5r9c8=5r5c8-(5=4)r4c7-4r7c9=NP(48)r79c9
-> r79c9=48 (or -59r79c9) :=> -4r4c9.r89c7 [+ -6r9c7 due to the use of the included FXW(6C18)]
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NP(48)r79c9 doesn't solve the puzzle.
How about
Code: | *-----------------------------------------------------------*
| 678 1678 9 | 1278 4 5 | 3 126 27 |
| 4 167 36 | 9 17 1237 | 156 8 257 |
| 378 2 5 | 6 178 137 | 19 4 79 |
|-------------------+-------------------+-------------------|
| 9 68 7 | 1258 1568 12 |(4)5 3 25-4 |
| 1 4 2 | 57 3 79 | 8 (5)9 6 |
| 5 3 68 | 248 689 249 | 7 29 1 |
|-------------------+-------------------+-------------------|
| 38 9 348 | 15 15 6 | 2 7 (4)8 |
| 2 5 46 | 47 79 8 | 1469 16 3 |
| 678 678 1 | 3 2 49 | 4569 5(6) 45(8)9|
*-----------------------------------------------------------*
net
6r1c8 6r9c1 7r9c2 8r9c9
6r8c8 4r8c3 4r7c9 8r9c9
6r9c8 5r5c8 4r4c7 4r7c9 8r9c9
6r1c8-r1c1=(6-7)r9c1=(7-8)r9c2=8r9c9
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6r8c8-(6=4)r8c3-r7c3=(4-8)r7c9=8r9c9
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(6-5)r9c8=r5c8-(5=4)r4c7-4r4c9=(4-8)r7c9=8r9c9 => 8r9c9; |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Wed Mar 20, 2013 3:52 pm Post subject: |
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Dan, in column 9, you are forgetting 4r9c9. Thus, in your third line, -4r4c9 -> +4r79c9 and not +4r7c9!
JC |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Wed Mar 20, 2013 6:46 pm Post subject: |
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JC Van Hay wrote: | Dan, in column 9, you are forgetting 4r9c9. Thus, in your third line, -4r4c9 -> +4r79c9 and not +4r7c9!
JC |
Thanks JC
I finally see it. |
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RobertRattley
Joined: 24 Jun 2007 Posts: 118 Location: Australia
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Posted: Mon Mar 25, 2013 10:59 am Post subject: |
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Back to the first two posts:
Yes, I found the same three xy wings.
It took me a frustratingly long time to find even the first xy wing, because I had missed an elimination or two, in the "fairly hard" category.
I remain in awe of whoever can construct (or discover) such beautiful puzzles. |
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