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Vanhegan VH

 
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keith



Joined: 19 Sep 2005
Posts: 3150
Location: near Detroit, Michigan, USA

PostPosted: Tue Mar 05, 2013 3:18 pm    Post subject: Vanhegan VH Reply with quote

More interesting than most:
Code:
VH4-807519vh2.1.1.1
+-------+-------+-------+
| 9 . . | . 1 . | . . . |
| . 6 . | 5 4 . | 9 . . |
| . . 3 | . . . | . . . |
+-------+-------+-------+
| . 4 . | 1 2 . | 3 . 6 |
| . 7 . | 6 . 4 | . 9 . |
| 6 . 2 | . 8 9 | . 1 . |
+-------+-------+-------+
| . . . | . . . | 4 . . |
| . . 7 | . 3 5 | . 6 . |
| . . . | . 9 . | . . 2 |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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JC Van Hay



Joined: 13 Jun 2010
Posts: 365
Location: Charleroi, Belgium

PostPosted: Tue Mar 05, 2013 6:25 pm    Post subject: Reply with quote

#1. 24 Singles; LC(-2r7c6)

Solving the Kite(7R9C5) thanks to its coupling to an X-Chain on 6 in C5:
Code:
+---------------+-----------------+-----------------+
| 9     2  4(5) | 78   1      368 | 568  3478  357  |
| 7     6  8    | 5    4      23  | 9    23    1    |
| 4(5)  1  3    | 9    -7(6)  268 | 568  2478  (57) |
+---------------+-----------------+-----------------+
| 8     4  9    | 1    2      7   | 3    5     6    |
| 3     7  1    | 6    5      4   | 2    9     8    |
| 6     5  2    | 3    8      9   | 7    1     4    |
+---------------+-----------------+-----------------+
| 125   9  (56) | 278  7(6)   168 | 4    378   357  |
| 24    8  7    | 24   3      5   | 1    6     9    |
| 145   3  456  | 478  9      168 | 58   78    2    |
+---------------+-----------------+-----------------+
#2. Chain[4] : 6r3c5=6r7c5-(6=5)r7c3-5r1c3=5r3c1-(5=7)r3c9 :=> -7r3c5; 6 Singles; LC(-8r79c6)

Solving the box B9 ...
Code:
+--------------+-------------+----------------+
| 9     2  45  | 7     1  38 | 6      348  35 |
| 7     6  8   | 5     4  23 | 9      23   1  |
| (45)  1  3   | 9     6  28 | 8(5)   248  7  |
+--------------+-------------+----------------+
| 8     4  9   | 1     2  7  | 3      5    6  |
| 3     7  1   | 6     5  4  | 2      9    8  |
| 6     5  2   | 3     8  9  | 7      1    4  |
+--------------+-------------+----------------+
| 125   9  56  | 28    7  16 | 4      38   35 |
| 2(4)  8  7   | 2(4)  3  5  | 1      6    9  |
| 145   3  456 | (48)  9  16 | -8(5)  7    2  |
+--------------+-------------+----------------+
#3. Chain[4] : 5r9c7=5r3c7-(5=4)r3c1-4r8c1=4r8c4-(4=8)r9c4 :=> -8r9c7; ste
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Marty R.



Joined: 12 Feb 2006
Posts: 5123
Location: Rochester, NY, USA

PostPosted: Tue Mar 05, 2013 8:55 pm    Post subject: Reply with quote

Code:

+-----------+------------+--------------+
| 9   2 45  | 78  1  368 | 568 3478 357 |
| 7   6 8   | 5   4  23  | 9   23   1   |
| 45  1 3   | 9   67 268 | 568 2478 57  |
+-----------+------------+--------------+
| 8   4 9   | 1   2  7   | 3   5    6   |
| 3   7 1   | 6   5  4   | 2   9    8   |
| 6   5 2   | 3   8  9   | 7   1    4   |
+-----------+------------+--------------+
| 125 9 56  | 278 67 168 | 4   378  357 |
| 24  8 7   | 24  3  5   | 1   6    9   |
| 145 3 456 | 478 9  168 | 58  78   2   |
+-----------+------------+--------------+

Play this puzzle online at the Daily Sudoku site

I'd never done a Vanhegan VH and this was more difficult than I expected.

XY-Chain (7=5)r3c9-r3c1=r1c3-(5=6)r7c3-(6=7)r7c5=>r3c5r7c9<>7

Code:

+-----------+---------+-----------+
| 9   2 45  | 7  1 38 | 6  348 35 |
| 7   6 8   | 5  4 23 | 9  23  1  |
| 45  1 3   | 9  6 28 | 58 248 7  |
+-----------+---------+-----------+
| 8   4 9   | 1  2 7  | 3  5   6  |
| 3   7 1   | 6  5 4  | 2  9   8  |
| 6   5 2   | 3  8 9  | 7  1   4  |
+-----------+---------+-----------+
| 125 9 56  | 28 7 16 | 4  38  35 |
| 24  8 7   | 24 3 5  | 1  6   9  |
| 145 3 456 | 48 9 16 | 58 7   2  |
+-----------+---------+-----------+

Play this puzzle online at the Daily Sudoku site

XY-Chain (8=4)r9c4-(4=2)r8c4-(2=4)r8c1-(4=5)r3c1-(5=8)r3c7=>r9c7<>8
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