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Clement
Joined: 24 Apr 2006
Posts: 1113
Location: Dar es Salaam Tanzania
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 Posted: Wed Jan 12, 2011 10:45 pm Post subject: Jan 13 VH |
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| XY-Wing 58 56 68 Pivoted in r4c6 removing 8's in BOX 4 row 5 solves it. |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Thu Jan 13, 2011 4:34 pm Post subject: |
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| x wing on 6 |
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Abarmard
Joined: 13 Jan 2011
Posts: 4
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| Posted: Thu Jan 13, 2011 6:31 pm Post subject: Why remove 8? |
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c5r4 why remove 8?
Last edited by Abarmard on Thu Jan 13, 2011 6:45 pm; edited 3 times in total |
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Abarmard
Joined: 13 Jan 2011
Posts: 4
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| Posted: Thu Jan 13, 2011 6:32 pm Post subject: Or why remove 8? |
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| I don't get the logic |
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Clement
Joined: 24 Apr 2006
Posts: 1113
Location: Dar es Salaam Tanzania
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| Posted: Thu Jan 13, 2011 11:48 pm Post subject: Jan 13 VH |
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Abarmard wrote
| Quote: | I don't get the logic
After the basics, you have the following Grid
| Code: |
+--------------+------------+---------------+
| 1278 178 4 | 5 28 267 | 3 9 1268 |
| 5 178 3 | 68 9 267 | 126 4 1268 |
| 6 9 28 | 1 3 4 | 7 5 28 |
+--------------+------------+---------------+
| 178 2 58 | 3 18 56 | 9 167 4 |
| 189 4 589 | 68 7 256 | 126 126 3 |
| 3 17 6 | 24 124 9 | 5 8 127 |
+--------------+------------+---------------+
| 248 5 7 | 24 6 1 | 28 3 9 |
| 2489 6 289 | 79 24 3 | 128 127 5 |
| 29 3 1 | 79 5 8 | 4 267 267 |
+--------------+------------+---------------+
In the above Grid the pivot 56 is in r4c6. Now, give any value in the pivot,all the 8's in BOX 4 row 5 including r4c5 will go. Can you see the logic? |
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Ema Nymton
Joined: 17 Apr 2009
Posts: 89
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| Posted: Fri Jan 14, 2011 12:22 pm Post subject: Re: Jan 13 VH |
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It is the short hand.
| Clement wrote: | Abarmard wrote
| Quote: | I don't get the logic
After the basics, you have the following Grid
| Code: |
+--------------+------------+---------------+
| 1278 178 4 | 5 28 267 | 3 9 1268 |
| 5 178 3 | 68 9 267 | 126 4 1268 |
| 6 9 28 | 1 3 4 | 7 5 28 |
+--------------+------------+---------------+
| 178 2 A58 | 3 18 B56 | 9 167 4 |
| 189 4 589 | C687 256 | 126 126 3 |
| 3 17 6 | 24 124 9 | 5 8 127 |
+--------------+------------+---------------+
| 248 5 7 | 24 6 1 | 28 3 9 |
| 2489 6 289 | 79 24 3 | 128 127 5 |
| 29 3 1 | 79 5 8 | 4 267 267 |
+--------------+------------+---------------+
In the above Grid the pivot 56 is in r4c6. Now, give any value in the pivot,all the 8's in BOX 4 row 5 including r4c5 will go. Can you see the logic? |
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The alignment of ABC makes an '8' in r5c1 or r5c3 not possible because A becomes '5' and C becomes '6' and B = 0. Thus r5c4 can only be '8'.
Ema Nymton
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Fri Jan 14, 2011 2:30 pm Post subject: |
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This is an XY wing which consists of three numbers (568) aligned in the three possible pairs (56)(58)(68). The pivot (56) �sees� the two wings (58) and (68). Whether the pivot is a (5) or a (6) - one of the wings will be an (8). So remove any (8) that �sees� BOTH of the wings.
| Code: |
+--------+-------+-------+
| . . . | . . . | . . . |
| . . . | . . . | . . . |
| . . . | . . . | . . . |
+--------+-------+-------+
| . . 58| . . 56| . . . |
| X8 . X8|68 . . | . . . |
| . . . | . . . | . . . |
+--------+-------+-------+
| . . . | . . . | . . . |
| . . . | . . . | . . . |
| . . . | . . . | . . . |
+--------+-------+-------+
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Abarmard
Joined: 13 Jan 2011
Posts: 4
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| Posted: Fri Jan 14, 2011 9:14 pm Post subject: Thank you |
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Thanks very much  |
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Abarmard
Joined: 13 Jan 2011
Posts: 4
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| Posted: Fri Jan 14, 2011 9:17 pm Post subject: One more question |
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| This is great. Simply put, how did you recognize that this situation can exist? by checking the numbers one by one? |
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Ema Nymton
Joined: 17 Apr 2009
Posts: 89
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| Posted: Sun Jan 16, 2011 1:21 pm Post subject: Re: One more question |
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| Abarmard wrote: | | This is great. Simply put, how did you recognize that this situation can exist? by checking the numbers one by one? |
Sudoku, as played here is subtle. You will find powerful tried and true techniques to help come to a valid solution of posted puzzles. The players like to use shorthand references (flying skyscrapers with W-X-Y wings and backward twists etc.) to show off their laudable skills. The techniques work and can be applied to other Sudoku/Soduko style puzzles.
Ema Nymton
~@:o?
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