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A VH+ for pencil & paper

 
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keith



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

PostPosted: Wed May 20, 2009 5:08 pm    Post subject: A VH+ for pencil & paper Reply with quote

I enjoyed this one.
Code:
Puzzle: M6025014sh(15)
+-------+-------+-------+
| 5 . . | 2 7 . | 4 . . |
| . 3 . | . . 1 | . . . |
| 7 . . | 9 5 . | . . . |
+-------+-------+-------+
| . 4 . | . . . | 8 . 2 |
| 3 . 6 | . . . | 7 . 5 |
| 9 . 2 | . . . | . 4 . |
+-------+-------+-------+
| 2 . . | . 8 7 | . . . |
| . . . | 6 . . | . 7 . |
| . . . | . 1 5 | 2 . 3 |
+-------+-------+-------+

Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu May 21, 2009 7:26 pm    Post subject: Reply with quote

Keith,
I found a two stepper using only multi-coloring moves on 6.
the first one being a skyscraper
then second multi-coloring move is a long eight link chain on 6
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arkietech



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

PostPosted: Thu May 21, 2009 7:33 pm    Post subject: Reply with quote

storm_norm wrote:
Keith,
I found a two stepper using only multi-coloring moves on 6.
the first one being a skyscraper
then second multi-coloring move is a long eight link chain on 6

Found the same only called your chain a sashimi sword on 6
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keith



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

PostPosted: Fri May 22, 2009 12:33 am    Post subject: Reply with quote

The reason I liked this one was because of the many pairs, not for the endgame. It is low on the eraser scale!

However: After basics
Code:
+----------------+----------------+----------------+
| 5    16   18a  | 2    7    36   | 4   136-8 9    |
| 46   3    9    | 8    46   1    | 5    2    7    |
| 7    2    148  | 9    5    346  | 36   1368 68   |
+----------------+----------------+----------------+
| 1    4    5    | 7    369  69   | 8    36   2    |
| 3    8    6    | 1    24   24   | 7    9    5    |
| 9    7    2    | 5    36   8    | 36   4    1    |
+----------------+----------------+----------------+
| 2    16   14b  | 3    8    7    | 9    5    46   |
| 48c  5    3    | 6    29   29   | 1    7    48d  |
| 68   9    7    | 4    1    5    | 2    68e  3    |
+----------------+----------------+----------------+


abc is a flightless XY-wing, pincers on <8>. With transport of c to d and e, eliminating <8> in R1C8. Leaving us here:

Code:
+----------------+----------------+----------------+
| 5    16c  8    | 2    7    36   | 4    13b  9    |
| 46   3    9    | 8    46   1    | 5    2    7    |
| 7    2    14   | 9    5    34   | 36   1368 68   |
+----------------+----------------+----------------+
| 1    4    5    | 7    369  69   | 8    36a  2    |
| 3    8    6    | 1    24   24   | 7    9    5    |
| 9    7    2    | 5    36   8    | 36   4    1    |
+----------------+----------------+----------------+
| 2    16d  14   | 3    8    7    | 9    5    46e  |
| 48   5    3    | 6    29   29   | 1    7    48   |
| 68   9    7    | 4    1    5    | 2   -68   3    |
+----------------+----------------+----------------+

abc is a flightless XY-wing with pincers <6>. With transport of c to d and e, eliminating <6> from R9C8 and solving the puzzle.

Keith Very Happy
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Marty R.



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

PostPosted: Fri May 22, 2009 3:48 am    Post subject: Reply with quote

Just for laughs, simple coloring takes out the 6 from r1c8, which eliminates the 6 from r3c6. Then a W-Wing on the 36s in boxes 26 are connected by three strong links on 6, taking out the 3 from r1c8, leaving a pair in row 1, which I don't know how far it can take us.

Code:

+-----------+----------+------------+
| 5  16 18  | 2 7   36 | 4  18   9  |
| 46 3  9   | 8 46  1  | 5  2    7  |
| 7  2  148 | 9 5   34 | 36 1368 68 |
+-----------+----------+------------+
| 1  4  5   | 7 369 69 | 8  36   2  |
| 3  8  6   | 1 24  24 | 7  9    5  |
| 9  7  2   | 5 36  8  | 36 4    1  |
+-----------+----------+------------+
| 2  16 14  | 3 8   7  | 9  5    46 |
| 48 5  3   | 6 29  29 | 1  7    48 |
| 68 9  7   | 4 1   5  | 2  68   3  |
+-----------+----------+------------+

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Tue Jun 02, 2009 5:06 am    Post subject: Reply with quote

after basics
Code:
.------------------.------------------.------------------.
| 5     16    18   | 2     7     36   | 4     1368  9    |
| 46    3     9    | 8     46    1    | 5     2     7    |
| 7     2     148  | 9     5     346  | 36    1368  68   |
:------------------+------------------+------------------:
| 1     4     5    | 7     369   69   | 8     36    2    |
| 3     8     6    | 1     24    24   | 7     9     5    |
| 9     7     2    | 5     36    8    | 36    4     1    |
:------------------+------------------+------------------:
| 2     16    14   | 3     8     7    | 9     5     46   |
| 48    5     3    | 6     29    29   | 1     7     48   |
| 68    9     7    | 4     1     5    | 2     68    3    |
'------------------'------------------'------------------'


Code:
+--------+-------+----------+
| . . 18 | . . . | . 1368 . |
| . .  . | . . . | . .    . |
| . .  . | . . . | . .    . |
+--------+-------+----------+
| . .  . | . . . | . 36   . |
| . .  . | . . . | . .    . |
| . .  . | . . . | . .    . |
+--------+-------+----------+
| . .  . | . . . | . .    . |
| . .  . | . . . | . .    . |
| . .  . | . . . | . .    . |
+--------+-------+----------+

if the 36 pair is false in column eight, then the 18 pair is true in row 1

Code:
.------------------.------------------.------------------.
| 5    *16    18   | 2     7     36   | 4    *1368  9    |
| 46    3     9    | 8     46    1    | 5     2     7    |
| 7     2     148  | 9     5     346  | 36    1368  68   |
:------------------+------------------+------------------:
| 1     4     5    | 7     369   69   | 8    *36    2    |
| 3     8     6    | 1     24    24   | 7     9     5    |
| 9     7     2    | 5     36    8    | 36    4     1    |
:------------------+------------------+------------------:
| 2    *16    14   | 3     8     7    | 9     5     46   |
| 48    5     3    | 6     29    29   | 1     7     48   |
|*68    9     7    | 4     1     5    | 2     68    3    |
'------------------'------------------'------------------'

(36)r14c8 = (18)r1c38 - (1=6)r1c2 - (6)r7c2 = (6)r9c1; r9c8 <> 6

either the pair 36 in col 8 is true or the 6 in r9c1 is true.
both force 6 out of r9c8 for a one stepper.
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