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Puzzle 10/02/28 (B)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Feb 28, 2010 5:27 pm    Post subject: Puzzle 10/02/28 (B) Reply with quote

Not a single-stepper XYZ-Wing.

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



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

PostPosted: Mon Mar 01, 2010 5:48 am    Post subject: Reply with quote

I tried this puzzle twice. Both times I used seven steps finishing with the same BUG+1 although the other six steps with mostly different.

FUN!

Ted
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Mar 01, 2010 6:18 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 7      12     9     | 256    156    126   | 3      4      8     |
| 26     8      16    | 3      14     124   | 79     79     5     |
| 5      3      4     | 9      8      7     | 6      2      1     |
:---------------------+---------------------+---------------------:
| 269    4      7     | 1      69     2689  | 5      689    3     |
| 369    5      16    | 468    7      34689 | 189    1689   2     |
| 2369   12     8     | 26     369    5     | 179    1679   4     |
:---------------------+---------------------+---------------------:
| 4      9      5     | 7      13     138   | 2      18     6     |
| 8      6      2     | 45     1459   149   | 14     3      7     |
| 1      7      3     | 468    2      468   | 48     5      9     |
'---------------------'---------------------'---------------------'

#1.als version of the w-wing...als[(2)r1c26 = (6)r1c6]r1c26 - (6)r9c6 = (6)r9c4 - (6=2)r6c4; r1c4 <> 2
#2.(9=3)r5c1 - (3)r5c6 = (3)r7c6 - (3=1)r7c5 - (1)r7c8 = (1)r5c8; r5c8 <> 9
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Mar 05, 2010 5:47 pm    Post subject: Reply with quote

Code:
   c24   X-Wing                          <> 2    r1c6,r6c1   -or-
 r24     X-Wing                          <> 2    r1c6,r6c1
-and-
   c47   X-Wing                          <> 8    r5c68,r9c6   -or-
 r47     X-Wing                          <> 8    r5c68,r9c6

 <16+4>  XY-Wing  r1c6/r2c5+r9c6         <> 4    r2c6,r8c5
 <12+6>  XY-Wing  r6c2/r5c3+r6c4         <> 6    r5c46,r6c1

 r26c78  <79> UR Type 4                  <> 9    r6c78

 <68+4>  XYZ-Wing r9c4/r5c4+r9c6         <> 4    r8c4

         BUG+1                           =  9    r5c6

I don't recall if all steps are necessary.
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