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MM 1671 2-5-10

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Feb 06, 2010 8:30 am    Post subject: MM 1671 2-5-10 Reply with quote

300600001207008400000009006040300070008010600050006000400700000006200304800005000

Code:

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

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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Sat Feb 13, 2010 7:54 am    Post subject: Reply with quote

I haven't looked at the forum in a while, but... what's with these puzzles with no solutions posted? I'll take a crack at this one.

After basics:
Code:
+---------------+---------------+---------------------+
| 3    9    45  | 6    2457  47 | 2578   258     1    |
| 2    6    7   | 1    35    8  | 4      359     359  |
| 15   8    145 | 45   237   9  | 27     23      6    |
+---------------+---------------+---------------------+
| 6    4    19  | 3    59    2  | 1589   7       589  |
| 79   23   8   | 459  1     47 | 6      23459   2359 |
| 179  5    23  | 8    479   6  | 129    12349   239  |
+---------------+---------------+---------------------+
| 4    12   259 | 7    689   3  | 12589  125689  2589 |
| 59   7    6   | 2    89    1  | 3      589     4    |
| 8    123  239 | 49   469   5  | 129    1269    7    |
+---------------+---------------+---------------------+

A little bit of coloring revealed:

[1] (1)r4c3=(1-4)r3c1=(4)r1c3 - (4)r1c56=(4-5)r3c4=(5)r5c4 - (5=9)r4c5 - (9=1)r4c3; r4c3=1

Now:
Code:
+--------------+---------------+---------------------+
| 3   9    45  | 6    2457  47 | 2578   258     1    |
| 2   6    7   | 1    35    8  | 4      359     359  |
| 1   8    45  | 45   237   9  | 27     23      6    |
+--------------+---------------+---------------------+
| 6   4    1   | 3    59    2  | 589    7       589  |
| 79  23   8   | 459  1     47 | 6      23459   2359 |
| 79  5    23  | 8    479   6  | 129    12349   239  |
+--------------+---------------+---------------------+
| 4   12   29  | 7    689   3  | 12589  125689  2589 |
| 5   7    6   | 2    89    1  | 3      89      4    |
| 8   123  239 | 49   469   5  | 129    1269    7    |
+--------------+---------------+---------------------+

[2] Sashimi Jellyfish (yum!), c1347 (Fin r4c7): r56c89<>9

[3] (4=7)r1c6 - (7)r5c6=(7-9)r5c1=(9)r5c4 - (9=4)r9c4; r3c4<>4

Now:
Code:
+--------------+-------------+--------------+
| 3   9    5   | 6   247  47 | 278  28  1   |
| 2   6    7   | 1   3    8  | 4    59  59  |
| 1   8    4   | 5   27   9  | 27   3   6   |
+--------------+-------------+--------------+
| 6   4    1   | 3   5    2  | 89   7   89  |
| 79  23   8   | 49  1    47 | 6    25  235 |
| 79  5    23  | 8   79   6  | 1    4   23  |
+--------------+-------------+--------------+
| 4   12   29  | 7   689  3  | 5    16  289 |
| 5   7    6   | 2   89   1  | 3    89  4   |
| 8   123  239 | 49  469  5  | 29   16  7   |
+--------------+-------------+--------------+

There is an XY-Wing that I'll ignore for a moment. Instead...

[4] 27UR in r13c57: r3c5=2 (due to conjugate pairs and 47 bivalue at r1c6)

Or, you could construct an AIC based on UR[(4)r1c5=(8)r1c7] that does the same thing.

Now...

[5] 289 XY-Wing in b39: r1c6<>2

That solves it.
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