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Wings (rated too hard) 091618

 
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immpy



Joined: 06 May 2017
Posts: 234

PostPosted: Sun Sep 16, 2018 1:02 pm    Post subject: Wings (rated too hard) 091618 Reply with quote

Cool puzzle...enjoy everyone.

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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dongrave



Joined: 06 Mar 2014
Posts: 326

PostPosted: Sun Sep 16, 2018 6:11 pm    Post subject: Reply with quote

Hmm, I've used 3 wings so far and it's still not solved! And I doubt that there's a single step solution for this one. Can one of you guys prove me wrong?
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 387
Location: Rimini, Italy

PostPosted: Sun Sep 16, 2018 7:16 pm    Post subject: Reply with quote

Hi everyone,

first step

Code:

+----------------+--------------+-------------------+
| 12359 38  1589 | 356 468  346 | 12349 1234 7      |
| 135   6   4    | 9   2    7   | 13    8    135    |
| 2359  7   589  | 35  48   1   | 6     234  3459   |
+----------------+--------------+-------------------+
| 3469  1   2    | 36  69   8   | 7     5    346    |
| 8     34  69   | 7   1569 356 | 134   1346 2      |
| 36    5   7    | 4   16   2   | 8     9    136    |
+----------------+--------------+-------------------+
| 15    49  3    | 8   7    456 | 1249  1246 1469   |
| 46    2   68   | 1   3    9   | 5     7    48     |
| 7     489 15   | 2   456  456 | 1349  1346 134689 |
+----------------+--------------+-------------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 3,4,6 in r5c2,r68c1 and -4 in r4c1,r79c2

then

Code:

+----------+-----------+-------------+
| 129 3 18 | 5 468 46  | 249 124 7   |
| 15  6 4  | 9 2   7   | 3   8   15  |
| 259 7 58 | 3 48  1   | 6   24  59  |
+----------+-----------+-------------+
| 3   1 2  | 6 9   8   | 7   5   4   |
| 8   4 9  | 7 5   3   | 1   6   2   |
| 6   5 7  | 4 1   2   | 8   9   3   |
+----------+-----------+-------------+
| 15  9 3  | 8 7   456 | 24  124 16  |
| 4   2 6  | 1 3   9   | 5   7   8   |
| 7   8 15 | 2 46  456 | 49  3   169 |
+----------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site

Naked pair 1,5 in r27c1
AND

Remote Pair 1,5 in r9c3,r7c1,r2c1,r2c9 and -1 in r9c9
OR
W-Wing 1,5 in r7c1,r2c9 SL with number 1 in r9c39 and -5 in r2c1
OR
W-Wing 1,5 in r9c3,r2c9 SL with number 5 in r3c39 and -1 in r9c9

Ciao Gianni
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immpy



Joined: 06 May 2017
Posts: 234

PostPosted: Thu Sep 20, 2018 4:59 am    Post subject: Reply with quote

Beautiful solution Gianni!!! I failed to spot the Remote Pair (15) which was a key to reducing the steps needed. To dongrave; don't despair, my friend, as I used 4 wings to reach a conclusion. I started with the XY-Wing per Gianni, then spotted an XYZ-Wing (-249), which was probably an unnecessary step, and followed that with two W-Wings. The beauty of this puzzle was that one could find a variety of Wings which could be implemented in solving (hence the title). I didn't even mention the X-Wings which were also present. A wing smorgasbord this one was!

cheers all...immp
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