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immpy



Joined: 06 May 2017
Posts: 571
PostPosted: Tue Sep 25, 2018 12:59 pm    Post subject: Advanced 092518 Reply with quote
Whew...this one was intense, for me, anyway. I needed multiple steps.

Enjoy the puzzle everyone...

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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Ajò Dimonios



Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
PostPosted: Thu Sep 27, 2018 12:34 pm    Post subject: Reply with quote
Hi everyone.
Code:

+---------------+-----------+-------------+
| 8   2456 7    | 3   59 69 | 26 24   1   |
| 26  9    1    | 27  4  67 | 5  3    8   |
| 3   2456 245  | 25  1  8  | 7  9    246 |
+---------------+-----------+-------------+
| 1   3    28   | 4   28 5  | 9  6    7   |
| 9   2458 2458 | 6   7  1  | 28 2458 3   |
| 245 7    6    | 9   28 3  | 1  2458 245 |
+---------------+-----------+-------------+
| 456 4568 9    | 1   3  2  | 68 7    56  |
| 256 2568 3    | 578 59 79 | 4  1    256 |
| 7   1    258  | 58  6  4  | 3  258  9   |
+---------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site
After basics
1) If R1C2=2=>contradiction =>-2R1C2
2) If R1C7=6=>contradiction =>-6R1C7=>solution. To solve the scheme it is sufficient to just take this second contradiction into account. In order to write the eureka notation I divided the solution path into two steps.
1) 2R1C2-2R1C1=2R2C4-2R3C4; (2-5)R1C2=5R3C23-5R3C4=>R3C4=Ø=>-2R1C2
2) (6-2)R1C7=2R1C8-2R9C8=2R9C3-2R8C2; (6-2)R1C7=2R5C7-2R5C2=2R3C2-2R2C1 and 6R1C7-6R1C6=6R2C6-6R2C1 =>R2C1=Ø=>-6R1C7=>solution.
Ciao a Tutti
Paolo
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Thu Sep 27, 2018 5:12 pm    Post subject: Advanced 092518 Reply with quote
I have to settle with two steps
Code:

+---------------------+-------------------+--------------------+
| 8      2456    7    | 3      e59    e69 |d26     24      1   |
| 26     9       1    | 27      4      67 | 5      3       8   |
| 3      2456    245  | 2-5     1      8  | 7      9       246 |
+---------------------+-------------------+--------------------+
| 1      3       28   | 4       28     5  | 9      6       7   |
| 9      2458    2458 | 6       7      1  | 28     2458    3   |
| 245    7       6    | 9       28     3  | 1      2458    245 |
+---------------------+-------------------+--------------------+
| 456   4568     9    | 1       3      2  |c68     7       56  |
| 256   2568     3    | 578     59     79 | 4      1       256 |
| 7     1        258  | a58     6       4 | 3     b258     9   |
+---------------------+-------------------+--------------------+

1): (5=8)r9c4 - r9c8 = (8-6)r7c7 = r1c7 - (6=5)r1c56 => - 5r3c4

Code:

+---------------------+---------------+---------------------+
| 8      46      7    | 3     5     9 | f26    4-2      1   |
| 2      9       1    | 7     4     6 | 5      3        8   |
| 3      456     45   | 2     1     8 | 7      9        46  |
+---------------------+---------------+---------------------+
| 1      3      c28   | 4     28    5 | 9      6        7   |
| 9     d2458   c2458 | 6     7     1 | e28    245      3   |
| 45     7       6    | 9     28    3 | 1      2458     245 |
+---------------------+---------------+---------------------+
| 456    458     9    | 1     3     2 | 68     7        56  |
| 56     258     3    | 58    9     7 | 4      1        256 |
| 7      1      b258  | 58    6     4 | 3     a258      9   |
+---------------------+---------------+---------------------+

2): (2)r9c8 = r9c3 - r45c3 = r5c2 - r5c7 = (2)r1c7 => - 2r1c8; stte
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Ajò Dimonios



Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
PostPosted: Thu Sep 27, 2018 6:48 pm    Post subject: Reply with quote
Hi everyone.
Code:

+---------------+-----------+-------------+
| 8   2456 7    | 3   59 69 | 26 24   1   |
| 26  9    1    | 27  4  67 | 5  3    8   |
| 3   2456 245  | 25  1  8  | 7  9    246 |
+---------------+-----------+-------------+
| 1   3    28   | 4   28 5  | 9  6    7   |
| 9   2458 2458 | 6   7  1  | 28 2458 3   |
| 245 7    6    | 9   28 3  | 1  2458 245 |
+---------------+-----------+-------------+
| 456 4568 9    | 1   3  2  | 68 7    56  |
| 256 2568 3    | 578 59 79 | 4  1    256 |
| 7   1    258  | 58  6  4  | 3  258  9   |
+---------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site

One step after basics
If R1C7=6=>contradiction =>-6R1C7=>solution.
6R1C7-6R3C9=6R3C2-(6=2)R2C1-2R13C2;(6-2)R1C7=2R1C8-2R9C8 and (6-2)R1C7=2R5C7-2R5C2=2R8C2-2R9C3=> no 2 in line 9=>-6R1C7=>stte
Ciao a Tutti
Paolo
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immpy



Joined: 06 May 2017
Posts: 571
PostPosted: Fri Sep 28, 2018 4:55 pm    Post subject: Reply with quote
Great solutions guys! I took the longer path.

Skyscraper on 4; 2-String Kite on 5; 2-String Kite on 6; W-Wing 2/6;
and W-Wing 4/2.

cheers...immp
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