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Set H Puzzle 33

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Dec 28, 2008 6:50 pm    Post subject: Set H Puzzle 33 Reply with quote

You might want to be sure that you have lots of time before starting this puzzle!

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Dec 28, 2008 11:25 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 238    348    12378 | 9      13     34    | 2347   5      6     |
| 2356   3456   12367 | 1345   8      3456  | 9      127    1347  |
| 3569   34569  136   | 7      2      3456  | 34     8      134   |
:---------------------+---------------------+---------------------:
| 4      1      9     | 2      35     7     | 35     6      8     |
| 236    7      5     | 36     4      8     | 1      29     39    |
| 2368   368    2368  | 356    9      1     | 2357   4      357   |
:---------------------+---------------------+---------------------:
| 3569   2      36    | 1345   7      3459  | 8      19     1459  |
| 7      59     4     | 8      156    2     | 56     3      159   |
| 1      3589   38    | 345    356    3459  | 4567   79     2     |
'---------------------'---------------------'---------------------'

using the strong links on 1 in col 4, we can see that either the 3 in r1c5 is true or the 9 in r7c8 is true, a little extension from the 3 we get this chain.
(9=3)r5c9 - (3)r4c7 = (3)r4c5 - (3=1)r1c5 - (1)r2c4 = (1)r7c4 - (1=9)r7c8; r78c9 <> 9

but for some reason I can't make this post any longer... Rolling Eyes

so on to the next post.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Dec 28, 2008 11:29 pm    Post subject: Reply with quote

then after some basics...

Code:
.------------------.------------------.------------------.
| 38    348   7    | 9     1     34   | 2     5     6    |
| 2356  3456  236  | 345   8     3456 | 9     1     7    |
| 9     56    1    | 7     2     56   | 34    8     34   |
:------------------+------------------+------------------:
| 4     1     9    | 2     35    7    | 35    6     8    |
| 36    7     5    | 36    4     8    | 1     2     9    |
| 2368  368   2368 | 356   9     1    | 7     4     35   |
:------------------+------------------+------------------:
| 356   2     36   | 1     7    -345  | 8     9    *45   |
| 7     9     4    | 8     56    2    | 56    3     1    |
| 1     358   38   | 345 [3]56   359  |[4]56  7     2    |
'------------------'------------------'------------------'

the UR {5,6} says that either the 3 in r9c5 is true, or the 4 in r9c7 is true...

in either case, the 3 in r7c6 cannot exist.

56UR[(3)r9c5 = (4)r9c7] - (4)r7c9 = (4)r7c6; r7c6 <> 3

or...

if r9c5 is 3 then r7c6 is not 3...

if r9c5 is not 3 then r9c7 is 4,
r7c9 <4> r7c6 is 4.
means 3 is not in r7c6.

single from there.
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Marty R.



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

PostPosted: Sun Dec 28, 2008 11:58 pm    Post subject: Reply with quote

This did take me a long time, as you predicted.

A half-dozen ERs opened things up. Then a Type 1 UR on 56. Finally, an XY-Wing on 453 with pincer transports, using one transport of each pincer.
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