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Puzzle VH_038

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Jun 12, 2009 4:13 pm    Post subject: Puzzle VH_038 Reply with quote
Code:
 +-----------------------+
 | 5 . 2 | . . . | . . 4 |
 | . 8 . | . . . | . . . |
 | 4 . 9 | . . . | 3 . 2 |
 |-------+-------+-------|
 | . . . | . . . | . . 3 |
 | . . . | . 8 . | 1 . 6 |
 | . . . | . . 1 | 8 9 . |
 |-------+-------+-------|
 | . . 8 | . 7 2 | . . 1 |
 | . . . | . . 9 | . 5 . |
 | 9 . 5 | 3 1 . | 6 . 8 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 r2  b1  Locked Candidate 1              <> 7    [r2c46]
   c2    Naked  Quad                     <> 1236 [r45c2]
 r2      Naked  Quad                     <> 1367 [r2c45]
 r5      Naked  Pair                     <> 47   [r5c146]
 r6  b4  Locked Candidate 1              <> 6    [r6c4]

   c25   X-Wing                          <> 3    [r1c6],[r6c1]
 r25     X-Wing                          <> 3    [r1c6],[r6c1]

         XY-Wing  [r4c5]/[r2c5]+[r5c4]   <> 2    [r2c4],[r6c5]
         XY-Wing  [r5c4]/[r2c4]+[r4c5]   <> 4    [r46c4],[r2c5]

 r6      Naked  Pair                     <> 27   [r6c23]
 r1      Naked  Pair                     <> 68   [r1c24]

 r13c68  <68> UR Type 1                  <> 68   [r3c6]

         BUG+1                           =  9    [r4c4]


Last edited by daj95376 on Fri Jun 26, 2009 9:19 pm; edited 1 time in total
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sun Jun 14, 2009 1:20 pm    Post subject: Reply with quote
Two steps:
x-wing 3 in r25c16 deletes 3 in r1c6 (and r6c1) to setup a
UR 24 in r26c45 that implies r6c4=7 or r6c5=3; both force r2c6=3 to complete the puzzle.

I assume that a single chain could be formed, but I considered each implication separately:
(7)r6c4 - (7)r6c13 = (7)r5c3 - (7=6)r2c3 - (6=3)r2c6;
(3)r6c5 - (3)r5c6 = (3)r2c6;
Both implications make r2c6=3.

Ted
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Sun Jun 14, 2009 5:26 pm    Post subject: Reply with quote
Code:
.------------------.------------------.------------------.
| 5     136   2    | 169   39    368  | 7     168   4    |
|*1-37  8     67   | 24    24    36   | 5     16    9    |
| 4     16    9    | 167   5     678  | 3     168   2    |
:------------------+------------------+------------------:
| 8     59    1    | 4679 *49    567  | 2    *47    3    |
|*23    59   *47   |*29    8     35   | 1    *47    6    |
|*237   236   467  | 247   234   1    | 8     9     5    |
:------------------+------------------+------------------:
| 6     4     8    | 5     7     2    | 9     3     1    |
| 12    12    3    | 8     6     9    | 4     5     7    |
| 9     7     5    | 3     1     4    | 6     2     8    |
'------------------'------------------'------------------'

(3=2)r5c1 - (2=9)r5c4 - (9=4)r4c5 - (4)r4c8 = (4)r5c8 - (4=7)r5c3 - (7)r6c1 = (7)r2c1; r2c1 <> 3
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