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Puzzle 10/09/25: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sat Sep 25, 2010 4:12 am    Post subject: Puzzle 10/09/25: B Reply with quote
Code:
 +-----------------------+
 | . . . | . 3 6 | . . 8 |
 | . . . | . . 4 | . . 9 |
 | . . . | 1 . . | 4 3 . |
 |-------+-------+-------|
 | 2 . 5 | . 1 . | . 7 . |
 | 8 . . | 4 . 2 | . . . |
 | 9 4 . | . 7 . | . 2 . |
 |-------+-------+-------|
 | . . 1 | . . . | . . 7 |
 | 7 . 8 | 3 . . | . 4 . |
 | 5 9 . | . . . | 1 . . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Sat Sep 25, 2010 8:18 am    Post subject: Reply with quote
Three VH+ steps
Quote:
xyz-wing(27-5) r1c7 ; r1c8<>5
skyscraper(9) ; r4c7<>9, r7c8<>9
skyscraper(5) ; r2c45<>5, r3c9<>5
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sun Sep 26, 2010 1:13 pm    Post subject: Reply with quote
finned x-wing (9)r58c57; r4c7<>9

Code:
*-----------------------------------------------------------------------------*
 | 14      57      249     | 2579    3       6       | 257     15      8       |
 | 13      578     23      | 2578    258     4       | 2567    156     9       |
 | 6       578     29      | 1       2589    5789    | 4       3       25      |
 |-------------------------+-------------------------+-------------------------|
 | 2       36      5       | 689     1       389     | 68      7       4       |
 | 8       1       7       | 4       56      2       | 3569    569     356     |
 | 9       4       36      | 568     7       358     | 568     2       1       |
 |-------------------------+-------------------------+-------------------------|
 | 34      236     1       | 25689   245689  589     | 23569   5689    7       |
 | 7       26      8       | 3       2569    1       | 2569    4       256     |
 | 5       9       346     | 2678    2468    78      | 1       68      236     |
 *-----------------------------------------------------------------------------*

AXY-wing 2-57 vertex (27)r1c7, pincers (57)r1c2 & (25)r3c9 with fin (5)r1c7
If xy-wing is true; r1c8,r3c2<>5
If the fin is true; r1c8<>5
So if r1c8<>5, then r1c8=1 and r2c8<>1=56

At this stage, I assume it is valid to re-examine the fin (5)r1c7 as follows:
If fin is true; (5)r1c7-(5=6)r2c8-(6=8)r9c8-(8=7)r9c6-r3c6=(7-5)r3c2; r3c2<>5

Overall, it is as if the xy-wing is just applied a second time.

A skyscraper completes the puzzle: skyscraper (5)r7c68; r2c45,r3c9<>5

Ted
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