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For the Extremists....

 
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immpy



Joined: 06 May 2017
Posts: 236

PostPosted: Fri Jun 07, 2019 1:02 pm    Post subject: For the Extremists.... Reply with quote

Hello all,
My stating this should not be a "spoiler"; an early XYZ-Wing, which leaves basically Brute Force......BUT....a Finned XY-Wing does solve it, albeit without proving the puzzle's uniqueness through logic. Interested in reading what others come up with....

Enjoy the puzzle....


Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 400
Location: Rimini, Italy

PostPosted: Sat Jun 08, 2019 7:38 pm    Post subject: Reply with quote

Hi everyone,

Code:

+-------------+--------------+--------------+
| 35  2   1   | 56  4    8   | 9    7    36 |
| 358 6   48  | 57  9    237 | 128  148  38 |
| 7   349 489 | 1   26   23  | 268  468  5  |
+-------------+--------------+--------------+
| 9   158 3   | 4   678  17  | 1678 1568 2  |
| 2   18  67  | 3   5    9   | 1678 168  4  |
| 4   158 67  | 678 2678 127 | 3    1568 9  |
+-------------+--------------+--------------+
| 68  49  2   | 789 78   5   | 46   3    1  |
| 368 349 489 | 89  1    46  | 5    2    7  |
| 1   7   5   | 2   3    46  | 468  9    68 |
+-------------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site

AIC in r1c1
if r1c1=3 -3 in r3c2,r8c1
if r1c1=5 r1c4=6 r3c5=2 r3c6=3 r8c2=3 and -3 in r3c2,r8c1

Code:

+------------+--------------+--------------+
| 35 2   1   | 56  4    8   | 9    7    36 |
| 35 6   48  | 57  9    27  | 128  148  38 |
| 7  49  489 | 1   26   3   | 268  468  5  |
+------------+--------------+--------------+
| 9  158 3   | 4   678  17  | 1678 1568 2  |
| 2  18  67  | 3   5    9   | 1678 168  4  |
| 4  158 67  | 678 2678 127 | 3    1568 9  |
+------------+--------------+--------------+
| 68 49  2   | 789 78   5   | 46   3    1  |
| 68 3   49  | 89  1    46  | 5    2    7  |
| 1  7   5   | 2   3    46  | 468  9    68 |
+------------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site

AIC in r2c1
if r2c1=5 -5 in r1c1,r2c4
if r2c1=3 r2c9=8 r2c3=4 r8c6=4 r9c6=6 r1c9=6 r1c4=5 and -5 in r1c1,r2c4

Ciao Gianni
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Clement



Joined: 24 Apr 2006
Posts: 980
Location: Dar es Salaam Tanzania

PostPosted: Mon Jun 10, 2019 10:57 am    Post subject: For the Extremists.... Reply with quote

I have to settle for two steps as well
Code:

+----------------------+----------------------+-----------------------+
|c35       2       1   | 56      4        8   | 9        7        b36 |
|d358      6       48  |e57      9       f27-3| 128      148      a38 |
| 7        349     489 | 1       26       23  | 268      468       5  |
+----------------------+----------------------+-----------------------+
| 9        158     3   | 4       678      17  | 1678     1568      2  |
| 2        18      67  | 3       5        9   | 1678     168       4  |
| 4        158     67  | 678     2678     127 | 3        1568      9  |
+----------------------+----------------------+-----------------------+
| 68       49      2   | 789     78       5   | 46       3         1  |
| 368      349     489 | 89      1        46  | 5        2         7  |
| 1        7       5   | 2       3        46  | 468      9         68 |
+----------------------+----------------------+-----------------------+

1): (3)r2c9 = r1c9 - (3=5)r1c1 - r2c1 = (5-7)r2c4 = (7)r2c6 => - 3r2c6

Code:

+--------------------+----------------------+----------------------+
| 35     2       1   | 56      4        8   | 9        7        36 |
| 35     6      a48  | 57      9        27  | 128      148      3-8|
| 7      49      489 | 1       26       3   | 268      468      5  |
+--------------------+----------------------+----------------------+
| 9      158     3   | 4       678      17  | 1678     1568     2  |
| 2      18      67  | 3       5        9   | 1678     168      4  |
| 4      158     67  | 678     2678     127 | 3        1568     9  |
+--------------------+----------------------+----------------------+
| 68    c49      2   | 789     78       5   | d46      3        1  |
| 68     3      b49  | 89      1        46  | 5        2        7  |
| 1      7       5   | 2       3        46  | e468     9       f68 |
+--------------------+----------------------+----------------------+

2): (8=4)r2c3 - (4=9)r8c3 - (9=4)r7c2 - r7c7 = (4-8)r9c7 = (8)r9c9 => - 8r2c9; solves it.
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AjÚ Dimonios



Joined: 01 May 2017
Posts: 338
Location: Sassari Italy

PostPosted: Mon Jun 24, 2019 9:11 am    Post subject: Reply with quote

Hi everyone
After basics
Code:

+-------------+--------------+--------------+
| 35  2   1   | 56  4    8   | 9    7    36 |
| 358 6   48  | 57  9    237 | 128  148  38 |
| 7   349 489 | 1   26   23  | 268  468  5  |
+-------------+--------------+--------------+
| 9   158 3   | 4   678  17  | 1678 1568 2  |
| 2   18  67  | 3   5    9   | 1678 168  4  |
| 4   158 67  | 678 2678 127 | 3    1568 9  |
+-------------+--------------+--------------+
| 68  49  2   | 789 78   5   | 46   3    1  |
| 368 349 489 | 89  1    46  | 5    2    7  |
| 1   7   5   | 2   3    46  | 468  9    68 |
+-------------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site
One step after basics.
Forcing chains:
Whatever the candidate in R7C2 (4 or 9) 8 in R2C9 is always false.
4R7C2-(4=6)R7C7-(6=8)R9C9-8R2C9;
9R7C2-9R3C2=(9-8)R3C3=8R2C13-8R2C9=>-8R2C9=>R2C9=3=>solution
Ciao a Tutti
Paolo
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