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Puzzle 10/08/09: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Aug 09, 2010 6:04 pm    Post subject: Puzzle 10/08/09: B Reply with quote

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

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Rating wrote:
VH
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peterj



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

PostPosted: Tue Aug 10, 2010 9:10 am    Post subject: Reply with quote

Two VH steps

Quote:
xy-wing(56-8) r6c2 ; r5c79<>8
xy-wing(36-8) r7c8 ; r7c9<>8, r8c2<>8

Just for interest, the last wing is part of a nice xy-cycle that does more eliminations.

Code:
 *--------------------------------------------------*
 | 5    1    7    | 2    8    9    | 3    4    6    |
 | 4    2    3    | 7    5    6    | 1    8    9    |
 | 9    6    8    | 3    4    1    | 257  57   27   |
 |----------------+----------------+----------------|
 | 3    58   9    | 1    7    58*  | 6    2    4    |
 | 68*  4    1    | 68*  9    2    | 57   357  37   |
 | 2    7    56   | 56   3    4    | 8    9    1    |
 |----------------+----------------+----------------|
 | 68*  358  25-6 | 4    1    7    | 9    36*  2-38 |
 | 7    39-8 246  | 59-8 26   58*  | 24   1    38*  |
 | 1    89   246  | 89   26   3    | 247  67   5    |
 *--------------------------------------------------*

(6=3)r7c8 - (3=8)r8c9 - (8=5)r8c6 - (5=8)r4c6 - (8=6)r5c4 - (6=8)r5c1 - (8=6)r7c1 - (6)r7c8 loop ; r7c3<>6, r7c9<>38, r8c24<>8
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Marty R.



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

PostPosted: Tue Aug 10, 2010 4:58 pm    Post subject: Reply with quote

XY-Wing (568)
Type 6 UR (57)
Kite (8)
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Aug 10, 2010 6:04 pm    Post subject: Reply with quote

Multiple Colors on <8> cracks the puzzle in one step. _ Embarassed _ Embarassed _ Embarassed _
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Marty R.



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

PostPosted: Tue Aug 10, 2010 8:38 pm    Post subject: Reply with quote

daj95376 wrote:
Multiple Colors on <8> cracks the puzzle in one step. _ :oops: _ :oops: _ :oops: _

So they do.

My solution was XY-Wing (568), Type 6 UR (57) and a Kite (8) pivoted in box 7; r5c4<>8. Trying it again, I can see that the Kite on 8 pivoted in box 8; r4c2<>8 does the trick. On the other hand, as already known by some of you, solving in one step is not my primary goal, even though it's nice when it happens.

Code:

+------------+-----------+-------------+
| 5  1   7   | 2   8  9  | 3   4   6   |
| 4  2   3   | 7   5  6  | 1   8   9   |
| 9  6   8   | 3   4  1  | 257 57  27  |
+------------+-----------+-------------+
| 3  58  9   | 1   7  58 | 6   2   4   |
| 68 4   1   | 568 9  2  | 578 357 378 |
| 2  7   56  | 568 3  4  | 58  9   1   |
+------------+-----------+-------------+
| 68 358 256 | 4   1  7  | 9   36  238 |
| 7  389 246 | 589 26 58 | 248 1   238 |
| 1  89  246 | 89  26 3  | 247 67  5   |
+------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site
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