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Puzzle 10/02/25 (A)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Feb 26, 2010 2:05 am    Post subject: Puzzle 10/02/25 (A) Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Feb 26, 2010 4:32 am    Post subject: Reply with quote

whoa

if you do some multicoloring on 1 you can find a fish like animal that makes 13 eliminations.

Code:
+------------------+---------------------+----------------+
| 5    9    2(1)   | 7     3      4      | 2(1)   8     6 |
| 7    8    6      | 2     5(1)   59(1)  | 9(1)   4     3 |
| 12   3    4      | 8(1)  68-1   689-1  | 279-1  27-1  5 |
+------------------+---------------------+----------------+
| 6    2    7(1)   | 4     9      7(1)   | 5      3     8 |
| 19   157  5789-1 | 3     2      5678-1 | 67-1   17    4 |
| 3    4    578-1  | 8(1)  568-1  5678-1 | 267-1  127   9 |
+------------------+---------------------+----------------+
| 124  15   25-1   | 9     148    18     | 3      6     7 |
| 149  17   79-1   | 6     14     3      | 8      5     2 |
| 8    6    3      | 5     7      2      | 4      9     1 |
+------------------+---------------------+----------------+


but even better is a als move using the already present xyz-wing

Code:
+------------------+-----------------+--------------+
| 5    9     (12)  | 7   3     4     | 12    8    6 |
| 7    8     6     | 2   15    159   | 19    4    3 |
| 12   3     4     | 18  168   1689  | 1279  127  5 |
+------------------+-----------------+--------------+
| 6    2     7(1)  | 4   9     7(1)  | 5     3    8 |
| 19   157   15789 | 3   2     15678 | 167   17   4 |
| 3    4     1578  | 18  1568  15678 | 1267  127  9 |
+------------------+-----------------+--------------+
| 124  (15)  (125) | 9   148   8-1   | 3     6    7 |
| 149  17    79-1  | 6   14    3     | 8     5    2 |
| 8    6     3     | 5   7     2     | 4     9    1 |
+------------------+-----------------+--------------+

the part in red is the xyz-wing and already eliminates the 1 in r8c3
ALS[(1)r7c23 = (2)r7c3]r7c23 - (2=1)r1c3 - (1)r4c1 = (1)r4c6; r7c6 <> 1

then UR type 1 {1,4} is left to finish
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Fri Feb 26, 2010 7:45 am    Post subject: Reply with quote

storm_norm wrote:
the part in red is the xyz-wing and already eliminates the 1 in r8c3
ALS[(1)r7c23 = (2)r7c3]r7c23 - (2=1)r1c3 - (1)r4c1 = (1)r4c6; r7c6 <> 1
Nice move Norm Cool I have to work on chaining moves. I like the concept
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Marty R.



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

PostPosted: Fri Feb 26, 2010 4:21 pm    Post subject: Reply with quote

I used three ERs, all on 1, followed by an XY-Wing (271), Type 4 UR (14) and a Kite (1).
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tlanglet



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

PostPosted: Fri Feb 26, 2010 7:38 pm    Post subject: Reply with quote

Norm, your solution was great. I had a variation on your view.

ALS 179[(9)r8c3 = (1)r48c3]r48c3 - r1c3 = r3c1 - (1=9)r5c1; r8c1<>9.

I then used the strong inference on the resulting Type 3 UR14.
(1=2)r3c1 - UR14[(2)r7c1 = (8)r7c5]r78c15 - (8=1)r7c6; r7c1<>1 plus transport:(1)r7c6 - r4c6 = r4c3; r1c3<>1.

Ted
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Feb 26, 2010 10:15 pm    Post subject: Reply with quote

with all this firepower, we just kicked this puzzle's butt.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Feb 26, 2010 10:44 pm    Post subject: Reply with quote

Not an easy VH+ puzzle to solve.

Code:
 r1  b4  Empty Rectangle                 <> 1    r5c7
 r2c4    2-String Kite                   <> 1    r6c7

 <27+1>  XY-Wing  r3c8/r3c1+r5c8         <> 1    r5c1

 r78c15  <14> UR Type 4                  <> 1    r7c15

 r4c2    2-String Kite                   <> 1    r7c6
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