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Puzzle 10/10/22: C XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Oct 22, 2010 5:21 am    Post subject: Puzzle 10/10/22: C XY Reply with quote
Possibly very difficult.

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

Play this puzzle online at the Daily Sudoku site
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Fri Oct 22, 2010 8:41 am    Post subject: Reply with quote
A wing with transport... Smile
Quote:
m-wing(45) transport ; (4=5)r8c7 - r6c7=(5-4)r6c2=r6c4 - r4c5=r1c5 ; r1c7<>4
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sat Oct 23, 2010 5:10 am    Post subject: Reply with quote
I wasn't quite as observant as Peter, using three ERs, X-Wing, XY-Wing (flightless), and two colorings on 9.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Oct 23, 2010 12:42 pm    Post subject: Reply with quote
Three steps and lots of fun........

8-cell BUG-Lite+3 (459)r1568c278
external SIS r1c5=9,r2c8=4; BUG-Lite(459)r1568c278[(4)r2c8=(9)r1c5]-(9=4)r3c4*-r46c4=r4c5-r4c23=(4)r6c2; r2c4*,r2c2<>4
external SIS r1c35=4,r2c8=9: BUG-Lite(459)r1568c278[(9)r2c8=(4)r1c35]-(4=9)r1c7; r1c8<>9
external SIS r2c8=4,r2c8=9; r2c8<>2
mixed SIS r1c8=2; r1c8=2

6-cell BUG-Lite+4 (689)r46c248
External SIS r8c2=8,r4c5=9,r6c17=9:
(8)r8c2-(3)r8c2=r8c1-(3=9)r3c1-(9=7)r2c2
||
(9)r4c5-(9=7)r5c5
||
(9)r6c1-r6c7=r5c8-(9=7)r5c5
||
(9)r6c7-r6c1=r3c1-(9=7)r2c2
Thus we have two pincers on 7 in r2c2 and r5c5; r5c2<>7
Plus transport: (7)r2c2-r45c2=r4c1-r4c45=(7)r5c5; r5c5=7

Kraken cell (469)r6c4; r3c1<>9
(4)46c4-(4=9)r3c4;
||
(6)r6c4-(6=8)r6c8-(8=9)r6c1;
||
(9)r6c3-r6c7=r1c7-r2c8=r2c2;

Ted
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