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Set E Puzzle 27

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Fri Dec 05, 2008 11:08 pm    Post subject: Set E Puzzle 27 Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sat Dec 06, 2008 3:21 am    Post subject: Reply with quote

Another very enjoyable VH puzzle!

I required two ERs, two xy-wings, two kites and one UR. I have to assume a couple were not actually required but they were still fun to find. It also had a good mix, for me, of VH techniques and basic clean-up.

Ted Very Happy
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Dec 06, 2008 10:15 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 56     3      58    | 7      4      2     | 1      68     9     |
| 2      9      4     | 68     1      68    | 3      7      5     |
| 16    #18     7     | 3      9      5     | 4      68     2     |
:---------------------+---------------------+---------------------:
| 15    15-8    6     | 4      378    1378  | 29     29     78    |
| 9      2     #18    | 168    5      1678  | 678    4      3     |
| 7      4      3     | 2      68     9     | 568    15     168   |
:---------------------+---------------------+---------------------:
| 8     *157    2     | 1569   367    13467 | 5679   39     1467  |
| 4      6     *15    | 1589   378    1378  | 25789  239    178   |
| 3     *157    9     | 1568   2      14678 | 5678   15     14678 |
'---------------------'---------------------'---------------------'

marked above is the w-wing {1,8} with hinge/group link on the 1's. this removes 8 from r4c2. that puts a hole in this for a while

Code:
.---------------------.---------------------.---------------------.
| 6      3      5     | 7      4      2     | 1      8      9     |
| 2      9      4     | 68     1      68    | 3      7      5     |
| 1      8      7     | 3      9      5     | 4      6      2     |
:---------------------+---------------------+---------------------:
| 5      1      6     | 4      378    378   | 29     29     78    |
| 9      2      8     |*16     5     *167   |#67     4      3     |
| 7      4      3     | 2     *68     9     | 568    15     16    |
:---------------------+---------------------+---------------------:
| 8     *57     2     | 1569  #67     1467  |56-79   3      146   |
| 4      6      1     | 59     378    378   | 259    29     78    |
| 3     *57     9     | 1568   2      14678 |56-78   15     146   |
'---------------------'---------------------'---------------------'

the UR {2,9} r48c78 is there
but...
another w-wing {6,7} via grouped strong link on 6 in box 5
now, the 7's in r7c5 and r5c7 eliminate the 7 in r7c7
then with some extension to the 7 in r7c2 to r9c2, elimates the 7 in r9c7
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sun Dec 07, 2008 12:23 am    Post subject: Reply with quote

storm_norm wrote:
Code:
.---------------------.---------------------.---------------------.
| 56     3      58    | 7      4      2     | 1      68     9     |
| 2      9      4     | 68     1      68    | 3      7      5     |
| 16    #18     7     | 3      9      5     | 4      68     2     |
:---------------------+---------------------+---------------------:
| 15    15-8    6     | 4      378    1378  | 29     29     78    |
| 9      2     #18    | 168    5      1678  | 678    4      3     |
| 7      4      3     | 2      68     9     | 568    15     168   |
:---------------------+---------------------+---------------------:
| 8     *157    2     | 1569   367    13467 | 5679   39     1467  |
| 4      6     *15    | 1589   378    1378  | 25789  239    178   |
| 3     *157    9     | 1568   2      14678 | 5678   15     14678 |
'---------------------'---------------------'---------------------'

marked above is the w-wing {1,8} with hinge/group link on the 1's. this removes 8 from r4c2. that puts a hole in this for a while

Norm that is a fantastic move! It is something that is now obvious but I have never consider it before. In fact, I was still thinking about it while I was working on another puzzle and the identical situation occurred so I had to immediately sent this post.

Great going!.

Ted
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