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Puzzle 11/02/07 Hmmm!!!

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Feb 07, 2011 9:12 am    Post subject: Puzzle 11/02/07 Hmmm!!! Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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Marty R.



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

PostPosted: Tue Feb 08, 2011 5:51 am    Post subject: Reply with quote

Quote:
Type 1 UR (79)
XY-Wing, flightless with transport; r3c2<>2
Another transport; r1c2<>2
Remote Pairs (79); r6c2<>7
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Tue Feb 08, 2011 9:12 am    Post subject: Reply with quote

I'd be stretching my "m-wing-like" label a bit far on this one... so just a chain
Quote:
(9=2)r5c3-(2=8)r7c3 - r7c2=(8-9)r3c2=r3c5 - r6c5=r6c8

.. a pseudo-cell m-wing-like(89) with transport Smile
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Feb 08, 2011 4:21 pm    Post subject: Reply with quote

I didn't know how to mark this puzzle. It has a two-stepper solution, but missing it leads to a difficult BBDB.

Code:
 after basics
 +--------------------------------------------------------------+
 |  1     279   5     |  79    2379  379   |  8     6     4     |
 |  27    6     3     |  4     1     8     |  279   5     79    |
 |  278   2789  4     |  6     279   5     |  27    3     1     |
 |--------------------+--------------------+--------------------|
 |  478   5     89    |  2     379   379   |  1     479   6     |
 |  247   3     29    |  1     8     6     |  79    2479  5     |
 |  6     27    1     |  5     79    4     |  3     279   8     |
 |--------------------+--------------------+--------------------|
 |  5     28    28    |  3     6     1     |  4     79    79    |
 |  3     1     6     |  79    4     79    |  5     8     2     |
 |  9     4     7     |  8     5     2     |  6     1     3     |
 +--------------------------------------------------------------+
 # 46 eliminations remain

Two-stepper: (Peter came sooooo close.)

Code:
M-Wing 4A: (2=9)r5c3 - r5c7 = (9-2)r2c7 = (2)r2c1  =>  r5c1<>2

RP:        (7=9)r1c2 - (9=7)r1c4 - (7=9)r3c5 - (9=7)r6c5  =>  r6c2<>7

BBDB:

Code:
 r18c46  <79> UR Type 1.2223             <> 79   r1c6

 <29+7>  XY-Wing  r5c3/r5c7+r6c2         <> 7    r5c1,r6c8

 r16\c25 finned  X-Wing                  <> 7    r3c5   -or-
 r6  b2  Empty Rectangle                 <> 7    r1c2

 <27+9>  XY-Wing  r6c2/r1c2+r6c5         <> 9    r1c5   extraneous
 <79+2>  XY-Wing  r6c5/r3c5+r6c2         <> 2    r3c2   extraneous

 +--------------------------------------------------------------+
 |  1     29    5     |  79    27    3     |  8     6     4     |
 |  27    6     3     |  4     1     8     |  279   5     79    |
 |  278   789   4     |  6     29    5     |  27    3     1     |
 |--------------------+--------------------+--------------------|
 |  478   5     89    |  2     3     79    |  1     49    6     |
 |  24    3     29    |  1     8     6     |  79    2479  5     |
 |  6     27    1     |  5     79    4     |  3     29    8     |
 |--------------------+--------------------+--------------------|
 |  5     28    28    |  3     6     1     |  4     79    79    |
 |  3     1     6     |  79    4     79    |  5     8     2     |
 |  9     4     7     |  8     5     2     |  6     1     3     |
 +--------------------------------------------------------------+
 # 33 eliminations remain

XY-Chain: (9=7)r4c6 (=9)r6c5 (=2)r3c5 (=7)r3c7 (=9)r5c7  =>  r4c8<>9
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