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Ajò Dimonios
Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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Posted: Thu Jul 27, 2017 11:30 am Post subject: sett.sudoku21072017 |
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Hi everyone
Code: |
+-------+-------+-------+
| 1 2 . | . . 6 | . . . |
| 8 . 6 | 4 . 2 | . . . |
| . 4 . | . 1 . | . . . |
+-------+-------+-------+
| . 8 . | 2 . . | . 7 5 |
| . . 2 | . . . | 9 . . |
| 6 7 . | . . 8 | . 4 . |
+-------+-------+-------+
| . . . | . 5 . | . 8 . |
| . . . | 8 . 7 | 3 . 2 |
| . . . | 9 . . | . 6 4 |
+-------+-------+-------+
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Play this puzzle online at the Daily Sudoku site
Ciao a Tutti
Paolo |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Thu Jul 27, 2017 3:36 pm Post subject: |
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11 singles; r5c45=67
1C4 -> 1 unique solution :
Code: | +-----------------------+---------------------+------------------+
| 1 2 3579 | 357 8 6 | 4 359 379 |
| 8 359 6 | 4 379 2 | 157 1359 1379 |
| 3579 4 3579 | 357 1 359 | 8 2 6 |
+-----------------------+---------------------+------------------+
| (349) 8 1349 | 2 349 1349 | 6 7 5 |
| (345) (135) 2 | 67 67 134(5) | 9 3(1) 8 |
| 6 7 1359 | 3-1(5) 39 8 | 2 4 3(1) |
+-----------------------+---------------------+------------------+
| 2 1369 13479 | 136 5 134 | 17 8 179 |
| (459) 569(1) 459(1) | 8 46 7 | 3 59(1) 2 |
| 357 (135) 8 | 9 2 13 | 157 6 4 |
+-----------------------+---------------------+------------------+
1r6c9 1r5c8
5r6c4 5r5c6
1r5c2 5r5c2 3r5c2
5r5c1 3r5c1 4r5c1
3r4c1 4r4c1 9r4c1
4r8c1 9r8c1 5r8c1
3r9c2 5r9c2 1r9c2
1r8c8 1r8c23 -> [1r6c9==5r6c4]-1r6c4; stte |
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Ajò Dimonios
Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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Posted: Sat Jul 29, 2017 4:44 pm Post subject: |
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Hi everyone
Code: |
+-----------------+--------------+---------------+
| 1 2 3579 | 357 8 6 | 4 359 379 |
| 8 359 6 | 4 379 2 | 157 1359 1379 |
| 3579 4 3579 | 357 1 359 | 8 2 6 |
+-----------------+--------------+---------------+
| 349 8 1349 | 2 349 1349 | 6 7 5 |
| 345 135 2 | 67 67 1345 | 9 13 8 |
| 6 7 1359 | 135 39 8 | 2 4 13 |
+-----------------+--------------+---------------+
| 2 1369 13479 | 136 5 134 | 17 8 179 |
| 459 1569 1459 | 8 46 7 | 3 159 2 |
| 357 135 8 | 9 2 13 | 157 6 4 |
+-----------------+--------------+---------------+
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Play this puzzle online at the Daily Sudoku site
Solution with one step after basics.
[(1-5)R6C4=(5-4)R5C6=(4)R5C1-(4)R8C1;
[(1)R6C4-(1)R4C6=(1)R4C3-(1)R78C3 and (1)R6C4-(1)R6C9=(1)R5C8-(1)R8C8=(1)R8C2-(1)R9C2]
[(1-5)R6C4=(5)R6C3-(5)R5C2; (1)R6C4-(1)R4C6=(1)R4C3-(1=3)R5C2-(3)R9C2]
[(1-5)R6C4=(5-4)R5C6=(4)R5C1-(4)R4C1; (1-5)R6C4=(5)R6C3-(5)R5C2; (1)R6C4-(1)R4C6=(1)R4C3-(1=3)R5C2-(3=9)R4C1-(9)R8C1]]=>contradiction two singles 5 in box 7 (R8C1,R9C2)=>-1R6C4=>solution stte.
Ciao a Tutti
Paolo |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Sat Jul 29, 2017 5:45 pm Post subject: |
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Hi Paolo,
The constraints 1R4 and 5R6 are not necessary.
By comparison with my solution, here is your simplified step written in a more condensed and readable way :
Code: | 1r6c9 1r5c8
5r6c4 5r5c6
1r5c2 5r5c2 3r5c2
4r5c6 4r5c1
3r4c1 4r4c1 9r4c1
4r8c1 9r8c1 5r8c1
3r9c2 5r9c2 1r9c2
1r8c8 1r8c23 -> [1r6c9==5r6c4]-1r6c4; stte
| As you can see, you used the simpler constraint 4R5 instead of R5C1!
JC |
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Ajò Dimonios
Joined: 01 May 2017 Posts: 339 Location: Sassari Italy
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Posted: Sun Jul 30, 2017 1:56 pm Post subject: |
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Hi JC
Thanks for the synthesis and explanation of the solution.
Ciao a Tutti
Paolo |
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