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Extreme 071620

 
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immpy



Joined: 06 May 2017
Posts: 312

PostPosted: Fri Jul 17, 2020 1:08 am    Post subject: Extreme 071620 Reply with quote

Hello all, many paths to use. Enjoy the puzzle...

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 515
Location: Rimini, Italy

PostPosted: Fri Jul 17, 2020 7:38 am    Post subject: Reply with quote

Hi everyone,

AIC in r1c7 (3,6):
if r1c7=3 r9c7=6 r9c2=2 r9c3=7 r4c3=6 and no 6 in r1
so r1c7=6

Ciao Gianni
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Clement



Joined: 24 Apr 2006
Posts: 1026
Location: Dar es Salaam Tanzania

PostPosted: Fri Jul 17, 2020 10:19 am    Post subject: Extreme 071620 Reply with quote

Code:

+-----------------------+----------------+---------------------+
| 8       9      e46    | 7     2    5   |d36       1     34   |
| 2456    236     23456 | 9     1    46  | 7        246   8    |
| 1246    7       1246  | 68    3    468 |c59       246  b59   |
+-----------------------+----------------+---------------------+
| 67      8      f67    | 3     4    12  |c125      9    a15   |
| 3       5       9     | 28    6    128 |c12       47    47   |
| 24      1       24    | 5     7    9   | 8        3     6    |
+-----------------------+----------------+---------------------+
| 167     4       1678  | 26    5    267 | 1369     678   1379 |
| 567     36      35678 | 1     9    67  | 4        678   2    |
| 9       26     g1267  | 4     8    3   |c16       5    h7-1  |
+-----------------------+----------------+---------------------+

(1=5)r4c9 - r3c9 = (5126)r3459c7 - (6)r1c7 = r1c3 - (6=7)r4c3 - r9c3 = (7)r9c9 => - 1r9c9; stte
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dongrave



Joined: 06 Mar 2014
Posts: 363

PostPosted: Fri Jul 17, 2020 2:51 pm    Post subject: Reply with quote

There are a couple hidden pairs hiding in Clement's grid (i.e. 39 in row 7 and 35 in column 3) which gets you to the following grid. (Clement's solution still works for this grid.)

Code:

+--------------+----------+------------+
| 8    9   46  | 7  2 5   | 36  1   34 |
| 2456 236 35  | 9  1 46  | 7   246 8  |
| 246  7   1   | 68 3 468 | 59  246 59 |
+--------------+----------+------------+
| 67   8   67  | 3  4 12  | 125 9   15 |
| 3    5   9   | 28 6 128 | 12  47  47 |
| 24   1   24  | 5  7 9   | 8   3   6  |
+--------------+----------+------------+
| 1    4   8   | 26 5 267 | 39  67  39 |
| 567  36  35  | 1  9 67  | 4   8   2  |
| 9    26  267 | 4  8 3   | 16  5   17 |
+--------------+----------+------------+


Then I saw that the 246 XYZ Wing with pivot at r3c1 didn't get me anywhere so I instead used practically the same chain that Gianni used to solve it: 6r1c7=(6-1)r9c7=(1-7)r9c9=r9c3-(7=6)r4c3 => r1c3<>6.
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