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27March VH

 
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George Woods



Joined: 28 Mar 2006
Posts: 232
Location: Dorset UK

PostPosted: Sun Mar 27, 2011 9:02 am    Post subject: 27March VH Reply with quote

I Couldn't do better than a 4 element XY chain 69,94,45 in Box 3 and 56 in box 1 Until I noticed the 356 XYZ chain
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Clement



Joined: 24 Apr 2006
Posts: 668
Location: Dar es Salaam Tanzania

PostPosted: Sun Mar 27, 2011 1:14 pm    Post subject: Mar 27 VH Reply with quote

Here is a three stepper:-
1) W-Wing 56 with SL 5 in col 9; r8c1<>6 leads to
2) Finned X-Wing 6 in row 1&8; r7c8<>6 and
3) XYZ-Wing 356 with Apex in r2c7; r2c9<>5 solves it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5160
Location: Rochester, NY, USA

PostPosted: Sun Mar 27, 2011 3:28 pm    Post subject: Reply with quote

The W-Wing on 56 was a one-stepper for me. After basics:

Code:

+-----------+----------------+------------+
| 4   56  3 | 1    59   7    | 2   69  8  |
| 56  7   9 | 2    3458 358  | 356 1   45 |
| 8   2   1 | 6    3459 359  | 35  49  7  |
+-----------+----------------+------------+
| 7   459 2 | 349  1    359  | 8   35  6  |
| 15  159 6 | 3789 3589 3589 | 4   357 2  |
| 3   45  8 | 47   6    2    | 9   57  1  |
+-----------+----------------+------------+
| 126 136 5 | 38   238  4    | 7   68  9  |
| 26  36  7 | 389  2389 1    | 56  468 45 |
| 9   8   4 | 5    7    6    | 1   2   3  |
+-----------+----------------+------------+

Play this puzzle online at the Daily Sudoku site
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Rocky Mozell



Joined: 28 Jul 2010
Posts: 22
Location: Boston, MA

PostPosted: Mon Mar 28, 2011 2:55 pm    Post subject: Reply with quote

I found the 356 XYZ wing first and that was a one stepper for me.
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Koala



Joined: 15 Mar 2011
Posts: 8

PostPosted: Mon Mar 28, 2011 5:35 pm    Post subject: Reply with quote

A method without using any known technique---Yellow Zone Strategy
After basics:
Code:
+-----------+----------------+------------+
| 4   56Y 3 | 1    5*9^ 7    | 2   69Y 8  |
| 5^*6 7  9 | 2    3458 358  | 356 1   4^5 |
| 8   2   1 | 6    3459 359  | 35  49^ 7  |
+-----------+----------------+------------+
| 7   459 2 | 349  1    359  | 8   35  6  |
| 15  159 6 | 3789 3589 3589 | 4   357 2  |
| 3   45  8 | 47   6    2    | 9   57  1  |
+-----------+----------------+------------+
| 126 136 5 | 38   238  4    | 7   68  9  |
| 26  36  7 | 389  2389 1    | 56  468 45 |
| 9   8   4 | 5    7    6    | 1   2   3  |
+-----------+----------------+------------+

Set a Yellow Zone : r1c2=56, r1c8=69 (marked with Y)
Note that if r1c2<>5 and r1c8<>9 then we get a conflict!
Candidates cause r1c2<>5 marked with *.
Candidates cause r1c8<>9 marked with ^.
We see that candidate 5 in r2c1 marked with both^*. This means if r2c1=5 then we get a conflict. In other words, we must eliminate 5 from r2c1.
The puzzle can then be solved by singles.
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