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Enjoy V

 
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Wed Mar 02, 2022 4:27 pm    Post subject: Enjoy V Reply with quote
Enjoy

Code:

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



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Thu Mar 03, 2022 9:49 am    Post subject: Enjoy V Reply with quote
There may be a better solution.
Two steps
Code:

+-----------------------+--------------------------+-------------------+
| 3       2        c45  | 1        4567      b567  | 9      46      8  |
| 1       469       459 | 468      456        568  | 2      3       7  |
| 68      468       7   | 2        9          3    | 1      46      5  |
+-----------------------+--------------------------+-------------------+
| 68      1        c49  | 3        46        d689  | 5      7       2  |
| 57      489       3   | 478      2        ea589-7| 6      1       49 |
| 57      469       2   | 467      4567       1    | 3      8       49 |
+-----------------------+--------------------------+-------------------+
| 9       5         8   | 67       1         b67   | 4      2       3  |
| 4       3         1   | 5        8          2    | 7      9       6  |
| 2       7         6   | 9        3          4    | 8      5       1  |
+-----------------------+--------------------------+-------------------+
Nishio
Step 1: 7r5c6 – (7=65)r71c6 – (5=49)r14c3 – (9)r4c6 = (9)r5c6 => - 7r5c6
Code:

+----------------------+--------------------------+-------------------+
| 3       2        45  | 1        c4567      567  | 9      46      8  |
| 1       469      459 |d468      c456       568  | 2      3       7  |
| 68      468      7   | 2         9         3    | 1      46      5  |
+----------------------+--------------------------+-------------------+
|b68      1        49  | 3        b46       b689  | 5      7       2  |
|f57      489      3   |e478       2       ga578-9| 6      1       49 |
| 57      469      2   | 467       4567      1    | 3      8       49 |
+----------------------+--------------------------+-------------------+
| 9       5        8   | 67        1         67   | 4      2       3  |
| 4       3        1   | 5         8         2    | 7      9       6  |
| 2       7        6   | 9         3         4    | 8      5       1  |
+----------------------+--------------------------+-------------------+

Step 2: 9r5c6 – (9=6|84)r4 165 – (4)r12c5 = (4-8)r2c4 = (8-7)r5c4 = (7-5)r5c1 = (5)r5c6 => - 9r5c6; stte
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dongrave



Joined: 06 Mar 2014
Posts: 568
PostPosted: Thu Mar 03, 2022 3:26 pm    Post subject: Reply with quote
I went with a messy one-stepper. Starting with Clement's first grid: 6*r4c1-(6=4)r4c5-(4=9*)r4c3-(6*9=4)r6c2-r6c9=r5c9-(49*=8)r5c2-(48=7)r5c4-(7=6)r7c4-(67=4)r6c4 contradiction (i.e. 4r6c24) => r4c1 <> 6; stte.
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Thu Mar 03, 2022 5:52 pm    Post subject: Reply with quote
dongrave wrote:
I went with a messy one-stepper. Starting with Clement's first grid: 6*r4c1-(6=4)r4c5-(4=9*)r4c3-(6*9=4)r6c2-r6c9=r5c9-(49*=8)r5c2-(48=7)r5c4-(7=6)r7c4-(67=4)r6c4 contradiction (i.e. 4r6c24) => r4c1 <> 6; stte.
To make it easy for others to follow we should try to show the steps in the grid.
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dongrave



Joined: 06 Mar 2014
Posts: 568
PostPosted: Fri Mar 04, 2022 1:30 pm    Post subject: Reply with quote
Good idea Clement! I guess it would look like this.

Code:
+-----------------------+--------------------------+-------------------+
| 3       2         45  | 1        4567       567  | 9      46      8  |
| 1       469       459 | 468      456        568  | 2      3       7  |
| 68      468       7   | 2        9          3    | 1      46      5  |
+-----------------------+--------------------------+-------------------+
|a68      1        c49  | 3       b46         689  | 5      7       2  |
| 57     g489       3   |h478      2          5789 | 6      1      f49 |
| 57     d469       2   |j467      4567       1    | 3      8      e49 |
+-----------------------+--------------------------+-------------------+
| 9       5         8   |i67       1          67   | 4      2       3  |
| 4       3         1   | 5        8          2    | 7      9       6  |
| 2       7         6   | 9        3          4    | 8      5       1  |
+-----------------------+--------------------------+-------------------+

6*r4c1-(6=4)r4c5-(4=9*)r4c3-(6*9=4)r6c2-r6c9=r5c9-(49*=8)r5c2-(48=7)r5c4-(7=6)r7c4-(67=4)r6c4 contradiction (i.e. 4r6c24) => r4c1 <> 6; stte.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Fri Mar 11, 2022 11:18 am    Post subject: Reply with quote
Nice solutions both!

If I take Clement's first grid and relabel a tad:

Code:
+-----------------------+--------------------------+-------------------+
| 3       2         45  | 1        c4567     c567  | 9      46      8  |
| 1       469       459 | 468      c456      d568  | 2      3       7  |
| 68      468       7   | 2        9          3    | 1      46      5  |
+-----------------------+--------------------------+-------------------+
| a68f      1       49  | 3        b46       e689  | 5      7       2  |
| 57      489       3   | 478      2         5897  | 6      1       49 |
| 57      469       2   | 467      4567       1    | 3      8       49 |
+-----------------------+--------------------------+-------------------+
| 9       5         8   | 67       1          67   | 4      2       3  |
| 4       3         1   | 5        8          2    | 7      9       6  |
| 2       7         6   | 9        3          4    | 8      5       1  |
+-----------------------+--------------------------+-------------------+




A contradiction that gets the same result as Dongrave but with some different steps.

(8=6)r4c1-(6=4)r4c5-(4=567)r12c5,r1c6-(56=8)r2c6-r4c6=(8-6)r4c1; stte

Begins at a and ends at a (or f).

When you plug 6 into r4c1 the loop tells you r4c1 must be 8.
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