X-sudoku for dogged human solvers

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Re: X-sudoku for dogged human solvers

Postby Leren » Sun Oct 23, 2022 8:08 pm

Well, that seemed to be an on topic puzzle. Try this one.

Code: Select all
*-----------*
|...|...|...|
|...|...|...|
|...|...|...|
|---+---+---|
|...|...|...|
|...|.12|...|
|...|...|345|
|---+---+---|
|...|16.|...|
|..7|.5.|...|
|.24|...|8..|
*-----------*
........................................12.........345...16......7.5.....24...8..

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Re: X-sudoku for dogged human solvers

Postby m_b_metcalf » Mon Oct 24, 2022 10:01 am

Leren wrote:Well, that seemed to be an on topic puzzle. Try this one.

Thanks. That was more interesting and longer. But I slipped up near the end :-(
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Re: X-sudoku for dogged human solvers

Postby Hajime » Mon Oct 24, 2022 1:40 pm

After the basics I ended here:
Code: Select all
+----------------+---------------+----------------+     
|  48  3579 12356|34789 23789 156| 156 36789 24789|     
|23679  48  12356|34789 23789 156| 156  2789 13789|     
|23679 3579   23 |34789 23789 156|2479 36789 13789|     
+----------------+---------------+----------------+     
| 789   789   89 |  5     4    3 | 16    26    12 |     
|  34   345   35 |  6     1    2 | 79   789   789 |     
|  26    1    26 | 789   789   79|  3    4     5  |     
+----------------+---------------+----------------+     
| 389   389   89 |  1     6    4 | 27    5     27 |     
|  1     6    7  |  2     5    8 | 49    39   349 |     
|  5     2    4  | 379   379   79|  8    1     6  |     
+-------------------------------------------------+     
                                                       
Generalized Intersections:
 (2)c7,r3,\ => (-2)r3c3
 (2)\,r3,c7 => (-2)r3c7
 (3)\,r3,c8 => (-3)r3c8
 (2)\,r7 => (-2)r7c9
but I could not find all 4 Generalized Intersections manually.

btte
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Re: X-sudoku for dogged human solvers

Postby m_b_metcalf » Mon Oct 24, 2022 6:35 pm

Here's a third:
Code: Select all
. . . . . . . . .
. . 1 . . . . . .
2 . . 3 4 5 1 . .
. . . . . . . 6 .
. 4 6 . . . 5 7 .
. 5 . . . . . . .
. . 2 1 7 3 . . 8
. . . . . . 4 . .
. . . . . . . . .   #3
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Re: X-sudoku for dogged human solvers

Postby Leren » Mon Oct 24, 2022 7:41 pm

Hajime, only the first Generalised Intersection is needed. After marking off r3c3 = 3, the next single is r1c8 = 3, only 3 in Column 8. Further singles follow almost to the end.

And another puzzle for pencil, paper - and a big rubber ! .......................................1...23.456.....3........27..........85.9..

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Re: X-sudoku for dogged human solvers

Postby Hajime » Tue Oct 25, 2022 3:44 pm

Leren wrote: and a big rubber ! .......................................1...23.456.....3........27..........85.9.. Leren

I learned, after basics next sitiation:
Code: Select all
+-------------------+----------------------+--------------------+     
|56789 123689 123467|234579 1234679 1236789| 4678  456789   12  |     
|56789 123689 123467|234579 1234679 1236789| 4678    13   456789|     
|56789 123689 123467|234579 1234679 1236789|  123  456789 456789|     
+-------------------+----------------------+--------------------+     
| 189    23     23  |  79     789      5   | 1468   14689  14689|     
| 6789   689    67  |   1      89      4   |   5      2      3  |     
| 189     4      5  |   6      23      23  |  178   1789   1789 |     
+-------------------+----------------------+--------------------+     
|  3      5     89  | 2479   124679  12679 |124678  14678 124678|     
|  2      7     89  |  349   13469    1369 | 13468 134568  14568|     
|  4     16     16  |   8      5      237  |   9     37     27  |     
+---------------------------------------------------------------+     

Than gen. intersections: (2)r9,c6,\ => (-2)r6c6 , stte

Edit: added interim situation
Last edited by Hajime on Tue Oct 25, 2022 5:06 pm, edited 1 time in total.
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Re: X-sudoku for dogged human solvers

Postby Hajime » Tue Oct 25, 2022 3:52 pm

m_b_metcalf wrote:Here's a third:

Code: Select all
...........1......2..3451.........6..46...57..5.........2173..8......4...........

After basics
Code: Select all
+------------+------------+-----------+     
| 389 38   4 | 67  1   67 |289  289  5|     
|  5   7   1 | 89  29  289| 3    4   6|     
|  2   6  89 | 3   4    5 | 1   89   7|     
+------------+------------+-----------+     
|  1   2 3789| 5   38  79 | 89   6   4|     
| 389  4   6 | 2   38   1 | 5    7  39|     
|3789  5 3789| 79  6    4 |289 2389  1|     
+------------+------------+-----------+     
|  4   9   2 | 1   7    3 | 6    5   8|     
| 378 38 3578|689 259 2689| 4    1  39|     
|  6   1  358| 4   59  89 | 7   39   2|     
+-------------------------------------+     

An XY-wing [length 3 cells] (3)(3=8)r4c5-(8=9)r4c7-(9=3)r5c9 => (-3)r5c5
Then some naked singles
Code: Select all
+---------+---------+---------+     
| 3  8  4 |67  1  67| 29 29  5|     
| 5  7  1 |89 29 289| 3   4  6|     
| 2  6  9 | 3  4  5 | 1   8  7|     
+---------+---------+---------+     
| 1  2  78| 5  3  79| 89  6  4|     
| 9  4  6 | 2  8  1 | 5   7  3|     
|78  5  3 |79  6  4 |289 29  1|     
+---------+---------+---------+     
| 4  9  2 | 1  7  3 | 6   5  8|     
|78  3 578|68 25 268| 4   1  9|     
| 6  1  58| 4 59  89| 7   3  2|     
+-----------------------------+     

Another XY-wing [length 3 cells] (8)(8=7)r4c3-(7=9)r4c6-(9=8)r9c6 => (-8)r9c3
naked singles to the end
of course not a manual solve :shock:
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Re: X-sudoku for dogged human solvers

Postby Pat » Tue Mar 07, 2023 6:22 pm

Leren wrote:
Code: Select all
*-----------*
|...|...|...|
|...|...|...|
|...|...|...|
|---+---+---|
|...|...|...|
|...|...|.12|
|.3.|.45|...|
|---+---+---|
|.5.|...|67.|
|...|2.8|...|
|...|1..|4..|
*-----------*
...........................................12.3..45....5....67....2.8......1..4..

Here is a puzzle from me. Only 12 clues. This should be tough.

Leren


i have now re-posted your puzzle,
hoping my solution-path is OK
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