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Vanhegan VH

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keith

Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

Posted: Tue Mar 05, 2013 3:18 pm Post subject: Vanhegan VH

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

JC Van Hay

Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

Posted: Tue Mar 05, 2013 6:25 pm Post subject:

#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

Marty R.

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

Posted: Tue Mar 05, 2013 8:55 pm Post subject:

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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