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Set XY_03 Puzzle 045

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Oct 22, 2009 6:27 pm    Post subject: Set XY_03 Puzzle 045 Reply with quote

Code:
XY puzzles can be solved using these techniques:

Basics:  Naked/Hidden Single, Naked Pair/Triple, Locked Candidates 1/2
Basics+: Naked Quad, Hidden Pair/Triple/Quad
VH:      BUG+1, UR Type 1, X-Wing, XY-Wing
VH+:     2-String Kite, Empty Rectangle, Remote Pair, Skyscraper,
         XYZ-Wing, finned X-Wing, UR Type 2/4
XY:      gM-Wing, W-Wing, XY-Chain, BUG+2, BUG+3, other URs


Code:
 +-----------------------+
 | . . . | . 5 . | . 1 . |
 | . 5 9 | . . . | . . . |
 | . 8 . | . 2 9 | 5 4 . |
 |-------+-------+-------|
 | . . . | 9 1 . | . 7 . |
 | 8 . 1 | 7 . . | 2 9 . |
 | . . 7 | . . . | 4 . . |
 |-------+-------+-------|
 | . . 8 | . 9 4 | 3 . . |
 | 3 . 6 | 2 7 . | . 8 9 |
 | . . . | . . . | . 2 . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

[Edit: corrected title -- Thanks Marty!]


Last edited by daj95376 on Fri Oct 23, 2009 12:52 am; edited 1 time in total
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Thu Oct 22, 2009 7:47 pm    Post subject: Reply with quote

Code:
 *--------------------------------------------------------------------*
 | 467    67     2      | 348    5      3678   | 9      1      38     |
 | 1467   5      9      | 348    368    13678  | 678    36     2      |
 | 167    8      3      | 16     2      9      | 5      4      67     |
 |----------------------+----------------------+----------------------|
 | 5      236    4      | 9      1      236    | 68     7      38     |
 | 8      36     1      | 7      4      36     | 2      9      5      |
 | 269    2369   7      | 5      368    2368   | 4      36     1      |
 |----------------------+----------------------+----------------------|
 | 27     127    8      | 16     9      4      | 3      5      67     |
 | 3      4      6      | 2      7      5      | 1      8      9      |
 | 79     179    5      | 38     368    1368   | 67     2      4      |
 *--------------------------------------------------------------------*
 (7)r1c6=(7-1)r2c6=(1)r9c6-(1=6)r7c4-(6=7)r7c9-(7)r3c9=(7)r3c1 => r1c12<>7
singles remain
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Fri Oct 23, 2009 12:15 am    Post subject: Reply with quote

Danny, how about changing the subject line, this is the second puzzle posted with the same 044 number. Laughing

Marty
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Oct 23, 2009 12:53 am    Post subject: Reply with quote

Done!!!

A persistent problem of mine!
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Fri Oct 23, 2009 3:00 pm    Post subject: Reply with quote

Two steps using xy-wing pincer extensions.
xy-wing 36-7 with vertex 36 in r2c8, pincer 67 in r3c9, pincer 37: (3)r2c8 - (3=6)r6c8 - (6)r6c12 = (6)r45c2 - (6=7)r1c2; r3c1<>7,
xy-wing -167 with vertex 67 in r1c2, pincer 16 in r3c1 and pincer17: (7)r1c2 - (7)r1c6 = (7)r2c6 - (7)r2c7 = (7)r3c9 - (7=6)r7c9 - (6=1)r7c4; r3c4<>1 completes the puzzle.

Ted Smile
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Oct 25, 2009 4:30 pm    Post subject: Reply with quote

Code:
+----------------+-----------------+-----------------+
| 467    67    2 | 348  5    3678  | 9    1     38   |
| 1467   5     9 | 348  368  13678 | 678  3(6)  2    |
| 16-7   8     3 | 16   2    9     | 5    4     (67) |
+----------------+-----------------+-----------------+
| 5      236   4 | 9    1    236   | 68   7     38   |
| 8      36    1 | 7    4    36    | 2    9     5    |
| (269)  2369  7 | 5    368  2368  | 4    3(6)  1    |
+----------------+-----------------+-----------------+
| (27)   127   8 | 16   9    4     | 3    5     67   |
| 3      4     6 | 2    7    5     | 1    8     9    |
| (79)   179   5 | 38   368  1368  | 67   2     4    |
+----------------+-----------------+-----------------+

(279)r679c1 = (6)r6c1 - (6)r6c8 = (6)r2c8 - (6=7)r3c9; r3c1 <> 7
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