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Puzzle 11/06/06: B XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Jun 07, 2011 1:19 am    Post subject: Puzzle 11/06/06: B XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Wed Jun 08, 2011 4:09 am    Post subject: Reply with quote

My first pass was a two stepper......

Quote:
Flightless axy-wing (35-6) vertex (35)r7c5 with fin (7)r1c5; r6c2<>6
If xy-wing is true plus transport; (6)r1c5-r46c5=(6)r6c4;
If fin is true: (7)r1c5-r1c2=(7-6)r6c2;

xy-wing (3-59) vertex (39)r3c5; r6c2<>5=6

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Wed Jun 08, 2011 5:58 am    Post subject: Reply with quote

Code:
 after basics
 +--------------------------------------------------------------+
 |  1     37    58    |  367   367   4     |  2     9     58    |
 |  4579  2     459   |  579   8     1     |  3     6     45    |
 |  48    359   6     |  359   39    2     |  1     7     48    |
 |--------------------+--------------------+--------------------|
 |  689   169   189   |  2     169   5     |  7     4     3     |
 |  579   4     159   |  79    179   3     |  8     2     6     |
 |  2     67    3     |  467   467   8     |  5     1     9     |
 |--------------------+--------------------+--------------------|
 |  356   56    2     |  1     35    9     |  4     8     7     |
 |  34    8     7     |  34    2     6     |  9     5     1     |
 |  459   159   1459  |  8     45    7     |  6     3     2     |
 +--------------------------------------------------------------+
 # 56 eliminations remain

This puzzles has an unusual UR elimination, that does nothing to advance the solution. _ Sad _

Consider the <49> UR in r29c13. Also, consider the <45> and <459> cells in [r2] and [r9].

Code:
 (4a)r2c1                   - (4=5)r2c9 - (a45=9)r2c3
 -plus-
 (4 )r2c1 - r2c3 = (4b)r9c3 - (4=5)r9c5 - (b45=9)r9c1
 *---------------------------------------------------*
 |  1    37   58   | 367  367  4    | 2    9    8    |
 | *4    2   *9    | 7    8    1    | 3    6   @5    |
 |  8    35   6    | 359  39   2    | 1    7    48   |
 |-----------------+----------------+----------------|
 |  68   169  18   | 2    169  5    | 7    4    3    |
 |  57   4    15   | 79   179  3    | 8    2    6    |
 |  2    67   3    | 467  467  8    | 5    1    9    |
 |-----------------+----------------+----------------|
 |  356  56   2    | 1    3    9    | 4    8    7    |
 |  3    8    7    | 34   2    6    | 9    5    1    |
 | *9    1   *4    | 8   @5    7    | 6    3    2    |
 *---------------------------------------------------*

 ("a" and "b" indicate network/memory used.)

So, r2c1<>4 follows.
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dejsmith



Joined: 23 Oct 2005
Posts: 40

PostPosted: Wed Jun 08, 2011 7:55 pm    Post subject: Reply with quote

I am usually quite hesitant to contribute since I usually screw something up; but in honor of continuing Marty's "more steps is good enough" philosophy, Peter's penchant for XY Chains, & my need to say something every 6 months or so, I offer the following alternate path. Simple coloring eliminates 7 from r6c4. Then an XY chain 34-46-67-73 eliminates 3 from r1c4; followed by another XY chain 35-56-67-73 eliminates 3 from r1c5. Finally an XY Wing 359 eliminates 5 from r7c2.
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Wed Jun 08, 2011 8:06 pm    Post subject: Reply with quote

dejsmith,

Welcome back for your semi-annual contribution. Considering my solver's solution to this puzzle, your solution looks good to me.

Regards, Danny
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Marty R.



Joined: 12 Feb 2006
Posts: 5158
Location: Rochester, NY, USA

PostPosted: Thu Jun 09, 2011 4:46 am    Post subject: Reply with quote

XY-Chain; r1c5<>3
W-Wing (67); r1c2, r6c5<>7
XY-Wing (395); r7c2<>5
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