What technique to use here?

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What technique to use here?

Postby vinixxx » Tue Nov 30, 2021 2:45 pm

https://ibb.co/ZNpbqZJ
Every time i stuck at this point..
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Re: What technique to use here?

Postby Hajime » Wed Dec 01, 2021 10:26 am

See https://www.sudokuwiki.org/Unique_Rectangles
for your puzzle on r78c59. r8c9 must be 2.

Somewhat later I saw a hidden single 4 in c7.
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Re: What technique to use here?

Postby RSW » Wed Dec 01, 2021 12:07 pm

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


Singles: 4r1c7 -4r1c9

Locked Set: Row 7, (69)r7c1 r7c3 => -9r7c5
Locked Set: Row 8, (39)r8c4 r8c6 => -39r8c5
Box/Line: Row 6/Box 6, (1)r6c7 r6c8 r6c9 => -1r5c89
Box/Line: Row 6/Box 6, (2)r6c7 r6c8 r6c9 => -2r5c89
Box/Line: Column 3/Box 1, (2)r1c3 r3c3 => -2r1c1
Locked Set: Row 1, (136) r1c1 r1c4 r1c5 => -6r1c3 -136r1c9
Locked Set: Column 9, (278) r1c9 r7c9 r8c9 => -8r2c9 -27r3c9 -2r6c9
Locked Set: Block 3, (128) r1c9 r2c8 r3c7 => -1r2c9 -12r3c8 -1r3c9
Locked Set: Block 3, (1268) r1c9 r2c8 r2c9 r3c7 => -6r3c9
Locked Set: Block 3, (12368) r1c9 r2c8 r2c9 r3c7 r3c9 => -3r3c8

Singles: 6r2c9 -6r2c34 7r3c8 -7r8c8 3r3c9 -3r3c5 -3r56c9

Box/Line: Row 3/Box 1, (6)r3c3 => -6r1c1
Box/Line: Column 1/Box 7, (6)r7c1 => -6r7c3

stte
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Re: What technique to use here?

Postby vinixxx » Wed Dec 01, 2021 1:38 pm

thanks
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Re: What technique to use here?

Postby Leren » Wed Dec 01, 2021 8:03 pm

.7...5.9.34..275..5..8.4.....4..8765..7.568..86574.....2.4.135.451...6..7835629..

From your stuck position :

Code: Select all
*--------------------------------------------------------------------------------*
|#16      7       28-6     |#136    #13      5        | 4       9       28-136   |
| 3       4       689      | 169     2       7        | 5       18      168      |
| 5       19      269      | 8       19-3    4        | 12     X1237   X12367    |
|--------------------------+--------------------------+--------------------------|
| 129     139     4        | 1239    139     8        | 7       6       5        |
| 129     139     7        | 1239    5       6        | 8       34-12   349-12   |
| 8       6       5        | 7       4       39       |*12     *123    *1239     |
|--------------------------+--------------------------+--------------------------|
| 69      2       69       | 4       78      1        | 3       5       78       |
| 4       5       1        | 39      3789    39       | 6       278     278      |
| 7       8       3        | 5       6       2        | 9       14      14       |
*--------------------------------------------------------------------------------*

Claiming triples of 1 & 2 in Box 6 r6c789 (cells marked *) => - 12 r5c89;

Naked triple (136) in r1c145 (cells marked #) => - 6 r1c3, - 136 r1c9; this exposes

Pointing pair of 3's in Box 3 r3c89 (cells marked X) => - 3 r3c5; then

Code: Select all
*--------------------------------------------------------------------------------*
| 16      7       28       | 136     13      5        | 4       9       28       |
| 3       4       689      | 169     2       7        | 5       18      168      |
| 5      *19      26-9     | 8      *19      4        | 2-1     237-1   2367-1   |
|--------------------------+--------------------------+--------------------------|
| 129     139     4        | 1239    139     8        | 7       6       5        |
| 129     139     7        | 1239    5       6        | 8       34      349      |
| 8       6       5        | 7       4       39       | 12      123     1239     |
|--------------------------+--------------------------+--------------------------|
| 69      2       69       | 4       78      1        | 3       5       78       |
| 4       5       1        | 39      78      39       | 6       278     278      |
| 7       8       3        | 5       6       2        | 9       14      14       |
*--------------------------------------------------------------------------------*

Naked pair (19) r3c25 (cells marked *) => - 9 r3c3, -1 r3c789; r3c7 is thus 2 and the puzzle solves with singles.

Leren
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Re: What technique to use here?

Postby vinixxx » Thu Dec 02, 2021 2:43 pm

thank you :o
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